WhaletechAI/Absorb-1B-Dataset · Datasets at Hugging Face

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 268, 2769, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 2769, 311, 4199, 19, 204, 268, 2769, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2769, 311, 4199, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 12421, 6200, 27084, 3368, 1014, 204, 268, 2769, 68, 1723, 289, 12421, 6200, 27084, 3368, 13, 1920, 68, 805, 17, 2769, 68, 417, 14, 204, 822, 268, 314, 977, 273, 4328, 348, 275, 542, 302, 3595, 28512, 204, 268, 771, 68, 522, 68, 6051, 289, 500, 204, 204, 268, 314, 45481, 3595, 497, 275, 2769, 3119, 490, 353, 1392, 204, 268, 1335, 959, 31, 204, 305, 314, 763, 273, 943, 497, 275, 2769, 204, 305, 5530, 289, 2769, 68, 1723, 19, 505, 68, 1454, 374, 204, 3123, 305, 314, 828, 275, 2769, 353, 1392, 17, 2280, 275, 3546, 204, 305, 397, 5530, 353, 443, 31, 204, 485, 456, 13, 75, 7, 40, 280, 2728, 463, 920, 68, 522, 68, 6051, 98, 3595, 497, 463, 1920, 68, 417, 12443, 204, 485, 2280, 204, 3123, 305, 314, 7415, 275, 943, 4328, 204, 305, 771, 68, 522, 68, 6051, 1412, 368, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2769, 26465, 204, 268, 456, 13, 75, 7, 596, 26465, 463, 1920, 68, 417, 2829, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 28523, 275, 1713, 27111, 19, 204, 264, 320, 204, 264, 314, 9886, 275, 27111, 204, 264, 348, 2769, 68, 417, 17, 2769, 68, 1087, 292, 1301, 7823, 7823, 68, 9926, 56, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 26956, 299, 463, 1920, 68, 417, 98, 2769, 7862, 204, 268, 4199, 68, 1920, 13, 1920, 68, 1087, 1166, 805, 2869, 2769, 68, 1087, 1166, 417, 3808, 204, 268, 456, 13, 75, 1954, 1920, 68, 417, 98, 2769, 28512, 13310, 83, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1255, 275, 2260, 1445, 311, 275, 1561, 832, 204, 264, 2454, 19, 546, 19, 1223, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 3843, 553, 19128, 45617, 379, 4608, 3063, 204, 615, 264, 314, 4390, 275, 12421, 6200, 27084, 3368, 204, 264, 497, 7135, 6200, 27084, 68, 1723, 532, 12421, 6200, 27084, 3368, 226, 314, 42238, 31, 16485, 34, 42, 21, 21972, 17, 346, 6257, 2353, 204, 615, 264, 314, 2466, 275, 667, 741, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 5180, 7627, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2851, 302, 7694, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1470, 2851, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 588, 302, 275, 1470, 2851, 1279, 204, 268, 407, 370, 19, 417, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 14386, 2914, 348, 275, 5180, 7627, 570, 1279, 204, 268, 2874, 68, 417, 289, 388, 7313, 8953, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 7313, 45812, 7, 204, 268, 10772, 289, 3134, 417, 1339, 204, 204, 204, 676, 5180, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1470, 440, 1163, 4163, 19, 204, 204, 264, 1532, 31, 204, 268, 2851, 322, 7313, 7627, 330, 334, 2851, 302, 275, 1470, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 1470, 19, 204, 268, 542, 68, 522, 68, 8524, 322, 339, 330, 334, 542, 302, 6453, 1945, 348, 275, 1470, 19, 204, 268, 9365, 68, 2201, 322, 339, 330, 334, 9365, 1870, 1945, 348, 275, 1470, 19, 204, 264, 320, 204, 264, 314, 968, 9365, 1870, 5426, 448, 273, 850, 3929, 204, 264, 23578, 28204, 68, 15140, 68, 10337, 289, 551, 204, 268, 322, 22, 17, 379, 31094, 1570, 2008, 204, 268, 322, 23, 17, 379, 5987, 8214, 2008, 204, 268, 322, 24, 17, 379, 46313, 2008, 204, 264, 2437, 204, 204, 264, 2851, 31, 5180, 7627, 289, 1094, 19, 4483, 499, 7313, 7627, 528, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 1022, 13271, 431, 204, 264, 1724, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 3534, 14, 204, 264, 542, 68, 522, 68, 8524, 31, 421, 289, 1094, 19, 23212, 374, 226, 314, 9251, 2140, 1534, 204, 264, 9365, 68, 2201, 31, 421, 289, 1094, 19, 6368, 13, 10481, 34, 15694, 28204, 68, 15140, 68, 10337, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 1724, 302, 275, 1470, 1279, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 14386, 2914, 348, 275, 5180, 570, 1279, 204, 268, 2874, 68, 417, 289, 388, 7313, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 7313, 88, 7, 204, 268, 10772, 289, 3134, 1778, 1339, 204, 0, 647, 2010, 448, 645, 204, 531, 5920, 532, 7664, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1967, 68, 5342, 13, 3366, 31, 1061, 14, 393, 1884, 64, 996, 17, 818, 744, 204, 264, 320, 204, 264, 1986, 275, 3466, 302, 273, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 2852, 322, 1665, 330, 332, 955, 1174, 379, 6600, 12, 329, 379, 19663, 12, 2992, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 996, 17, 818, 744, 334, 3466, 2992, 19, 204, 264, 320, 204, 264, 314, 888, 275, 3466, 2992, 204, 264, 610, 289, 322, 3366, 736, 6600, 6970, 21, 66, 465, 2852, 736, 19663, 6970, 21, 694, 802, 435, 204, 264, 469, 289, 322, 3366, 736, 6600, 6970, 22, 66, 465, 2852, 736, 19663, 6970, 22, 694, 802, 435, 204, 264, 407, 610, 17, 469, 204, 204, 461, 1967, 68, 835, 13, 3366, 31, 1061, 14, 393, 818, 31, 204, 264, 320, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 1986, 275, 1302, 302, 273, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 2852, 322, 1665, 330, 332, 955, 1174, 379, 6600, 12, 329, 379, 19663, 12, 2992, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 1302, 302, 275, 2852, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1302, 204, 264, 610, 289, 2852, 736, 6600, 6970, 21, 66, 338, 2852, 736, 19663, 6970, 21, 66, 204, 264, 469, 289, 2852, 736, 6600, 6970, 22, 66, 338, 2852, 736, 19663, 6970, 22, 66, 204, 264, 407, 610, 540, 469, 204, 204, 461, 1356, 68, 14028, 68, 47201, 13, 204, 264, 4449, 68, 47201, 31, 1061, 17, 716, 264, 10671, 31, 1061, 17, 716, 264, 690, 31, 421, 17, 716, 264, 3466, 31, 1884, 64, 996, 17, 818, 648, 716, 264, 690, 68, 10868, 31, 421, 204, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 397, 273, 10671, 2560, 292, 275, 4449, 17409, 19, 204, 204, 264, 457, 31, 204, 264, 4449, 68, 47201, 322, 1665, 330, 332, 955, 302, 4449, 17409, 19, 204, 264, 10671, 322, 1665, 330, 332, 955, 1174, 10671, 1483, 19, 204, 264, 690, 322, 339, 330, 334, 790, 690, 19, 204, 264, 3466, 322, 2983, 64, 996, 17, 818, 1037, 334, 3466, 2992, 302, 275, 10671, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 10671, 1222, 397, 490, 2560, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1861, 1924, 4449, 17409, 204, 264, 348, 10671, 68, 359, 17, 10671, 68, 873, 292, 4449, 68, 47201, 19, 1996, 1293, 204, 268, 846, 68, 834, 289, 846, 13, 18749, 68, 873, 1166, 834, 3808, 204, 268, 314, 778, 397, 275, 690, 2712, 353, 2614, 275, 3442, 204, 268, 397, 690, 338, 846, 68, 834, 1323, 690, 68, 10868, 540, 435, 31, 204, 305, 3524, 204, 268, 314, 778, 397, 275, 10671, 3466, 353, 3671, 311, 437, 4449, 10671, 3466, 204, 268, 348, 10671, 68, 5342, 292, 10671, 68, 873, 1166, 18749, 68, 5342, 8682, 204, 305, 2674, 289, 645, 19, 11450, 19, 5915, 13, 1123, 19, 643, 1568, 5342, 694, 338, 645, 19, 643, 1568, 18749, 68, 5342, 4513, 204, 305, 397, 2674, 962, 500, 19, 1258, 31, 204, 485, 407, 10671, 68, 359, 204, 264, 407, 443, 204, 204, 461, 1395, 68, 47201, 13, 204, 264, 4449, 68, 47201, 31, 1061, 17, 716, 264, 5209, 68, 47201, 31, 783, 64, 1665, 648, 716, 264, 10671, 68, 359, 31, 421, 17, 716, 264, 690, 31, 421, 17, 716, 264, 690, 68, 10868, 31, 421, 204, 14, 393, 1884, 64, 1665, 17, 421, 744, 204, 264, 320, 204, 264, 1716, 275, 4449, 17409, 440, 717, 17409, 19, 204, 204, 264, 457, 31, 204, 264, 4449, 68, 47201, 322, 1665, 330, 332, 955, 302, 4449, 17409, 19, 204, 264, 5209, 68, 47201, 322, 1218, 64, 1665, 1037, 332, 458, 302, 717, 17409, 311, 881, 19, 204, 264, 10671, 68, 359, 322, 339, 330, 334, 790, 10671, 1222, 19, 204, 264, 690, 322, 339, 330, 334, 790, 690, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1665, 17, 421, 744, 334, 2908, 4449, 17409, 329, 275, 717, 10671, 1222, 19, 204, 264, 320, 204, 264, 314, 1861, 1924, 717, 17409, 204, 264, 397, 5209, 68, 47201, 31, 204, 268, 348, 10671, 292, 5209, 68, 47201, 31, 204, 305, 3466, 289, 1967, 68, 5342, 13, 18749, 736, 1244, 68, 1229, 2378, 204, 305, 314, 778, 397, 275, 10671, 2861, 2560, 204, 305, 7535, 68, 359, 289, 1356, 68, 14028, 68, 47201, 13, 14028, 68, 47201, 17, 10671, 17, 690, 17, 3466, 17, 690, 68, 10868, 14, 204, 305, 397, 7535, 68, 359, 353, 443, 31, 204, 485, 314, 1255, 273, 717, 10671, 204, 485, 4449, 68, 47201, 64, 18749, 68, 359, 66, 289, 463, 204, 895, 388, 47201, 559, 551, 18749, 648, 204, 895, 388, 834, 559, 551, 834, 648, 204, 895, 388, 18749, 68, 5342, 559, 551, 5342, 66, 204, 485, 1211, 204, 485, 10671, 68, 359, 1412, 368, 204, 305, 902, 31, 204, 485, 314, 1716, 437, 4449, 10671, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 47201, 6925, 1223, 13, 18749, 14, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 834, 6925, 1223, 13, 834, 14, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 18749, 68, 5342, 6925, 1223, 13, 5342, 14, 204, 264, 407, 4449, 68, 47201, 17, 10671, 68, 359, 204, 204, 461, 10671, 68, 10132, 13, 204, 264, 722, 68, 47201, 31, 783, 64, 1665, 648, 716, 264, 690, 68, 10868, 31, 421, 17, 716, 264, 7524, 68, 78, 31, 818, 289, 500, 19, 1258, 204, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 3055, 10671, 4249, 19, 204, 204, 264, 457, 31, 204, 264, 722, 68, 47201, 322, 1218, 64, 1665, 1037, 332, 458, 302, 17409, 440, 1017, 1483, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 264, 7524, 68, 78, 322, 996, 17, 1448, 330, 334, 1759, 3442, 19, 1243, 311, 500, 19, 1258, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 31, 332, 955, 1174, 275, 4249, 1563, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 204, 264, 3090, 68, 863, 2103, 289, 722, 68, 47201, 64, 21, 6690, 863, 269, 839, 204, 264, 3090, 68, 834, 289, 722, 68, 47201, 64, 21, 6690, 834, 839, 204, 264, 4449, 68, 47201, 289, 2087, 204, 264, 10671, 68, 359, 289, 500, 204, 204, 264, 314, 1716, 4449, 17409, 440, 1419, 17409, 204, 264, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 3090, 68, 863, 2103, 17, 10671, 68, 359, 17, 3090, 68, 834, 17, 690, 68, 10868, 14, 204, 204, 264, 314, 1861, 1924, 722, 17409, 204, 264, 348, 424, 292, 722, 68, 47201, 31, 204, 268, 903, 2103, 289, 424, 736, 863, 269, 839, 204, 268, 690, 289, 424, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 736, 834, 839, 204, 268, 314, 778, 397, 275, 690, 2712, 353, 2614, 275, 3442, 204, 268, 397, 690, 338, 3090, 68, 834, 1323, 690, 68, 10868, 31, 204, 305, 3090, 68, 863, 2103, 289, 903, 2103, 204, 305, 3090, 68, 834, 289, 690, 204, 305, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 3090, 68, 863, 2103, 17, 10671, 68, 359, 17, 690, 17, 690, 68, 10868, 14, 204, 305, 3524, 204, 204, 268, 314, 1861, 1924, 17409, 204, 268, 348, 903, 269, 292, 903, 2103, 31, 204, 305, 397, 903, 269, 736, 1244, 68, 325, 839, 353, 443, 31, 204, 485, 3524, 204, 204, 305, 3466, 68, 78, 289, 1967, 68, 5342, 13, 863, 269, 736, 1244, 68, 1229, 2378, 204, 305, 1302, 68, 78, 289, 1967, 68, 835, 13, 863, 269, 736, 1244, 68, 1229, 2378, 204, 204, 305, 314, 1861, 1924, 3090, 17409, 204, 305, 348, 903, 269, 68, 79, 292, 3090, 68, 863, 2103, 31, 204, 485, 397, 903, 269, 68, 79, 736, 1244, 68, 325, 839, 353, 443, 31, 204, 895, 3524, 204, 204, 485, 3466, 68, 79, 289, 1967, 68, 5342, 13, 863, 269, 68, 79, 736, 1244, 68, 1229, 2378, 204, 485, 1302, 68, 79, 289, 1967, 68, 835, 13, 863, 269, 68, 79, 736, 1244, 68, 1229, 2378, 204, 204, 485, 314, 888, 1759, 329, 1302, 2712, 204, 485, 2674, 289, 645, 19, 11450, 19, 5915, 13, 1123, 19, 643, 1568, 5342, 68, 78, 694, 338, 645, 19, 643, 1568, 5342, 68, 79, 4513, 204, 485, 1302, 68, 5679, 289, 645, 19, 4977, 13, 835, 68, 78, 338, 1302, 68, 79, 14, 204, 204, 485, 314, 1716, 4449, 17409, 204, 485, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 551, 863, 269, 648, 10671, 68, 359, 17, 690, 17, 690, 68, 10868, 14, 204, 204, 268, 3090, 68, 863, 2103, 289, 903, 2103, 204, 268, 3090, 68, 834, 289, 690, 204, 204, 264, 314, 5185, 18, 13892, 204, 264, 2220, 68, 47201, 289, 2087, 204, 264, 348, 10671, 68, 359, 17, 10671, 68, 873, 292, 4449, 68, 47201, 19, 1996, 1293, 204, 268, 314, 1986, 10671, 1483, 204, 268, 17409, 289, 10671, 68, 873, 1166, 47201, 1339, 204, 268, 2666, 289, 10671, 68, 873, 1166, 834, 1339, 204, 268, 10671, 68, 15137, 289, 10671, 68, 873, 1166, 18749, 68, 5342, 1339, 204, 204, 268, 314, 888, 10671, 20998, 204, 268, 1097, 68, 47201, 289, 1306, 204, 268, 348, 10671, 292, 17409, 31, 204, 305, 397, 1245, 13, 18749, 736, 1244, 68, 325, 2378, 962, 720, 31, 204, 485, 3524, 204, 305, 1097, 68, 47201, 19, 1223, 13, 18749, 736, 1244, 68, 325, 2378, 204, 204, 268, 314, 1716, 2220, 17409, 204, 268, 2220, 68, 47201, 64, 18749, 68, 359, 66, 289, 463, 204, 305, 388, 23693, 5199, 675, 559, 7664, 13, 1018, 68, 47201, 789, 4425, 68, 4608, 2144, 204, 305, 388, 53, 812, 5199, 675, 559, 20866, 18749, 559, 10671, 17, 388, 834, 559, 690, 17, 388, 835, 559, 1302, 98, 348, 10671, 17, 690, 17, 1302, 292, 4337, 13, 47201, 17, 2666, 17, 10671, 68, 15137, 2395, 204, 268, 1211, 204, 204, 264, 407, 2220, 68, 47201, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 722, 68, 47201, 289, 551, 204, 268, 463, 204, 305, 379, 863, 269, 597, 551, 204, 485, 2552, 1244, 68, 325, 597, 379, 8927, 4326, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1003, 17, 931, 648, 379, 19663, 597, 551, 21, 17, 500, 7916, 1522, 204, 485, 2552, 1244, 68, 325, 597, 379, 16050, 7372, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1036, 17, 1199, 648, 379, 19663, 597, 551, 1003, 17, 931, 66, 3734, 204, 305, 7241, 204, 305, 379, 834, 597, 368, 204, 268, 4752, 204, 268, 463, 204, 305, 379, 863, 269, 597, 551, 204, 485, 2552, 1244, 68, 325, 597, 379, 8927, 4326, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1641, 17, 2958, 648, 379, 19663, 597, 551, 22, 17, 368, 7916, 1522, 204, 485, 2552, 1244, 68, 325, 597, 379, 42750, 29025, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 2188, 17, 2468, 648, 379, 19663, 597, 551, 1036, 17, 1199, 66, 3734, 204, 305, 7241, 204, 305, 379, 834, 597, 435, 204, 268, 1211, 204, 264, 2437, 204, 264, 690, 68, 10868, 289, 368, 204, 264, 4249, 68, 1300, 289, 10671, 68, 10132, 13, 1300, 68, 47201, 17, 690, 68, 10868, 14, 204, 264, 456, 13, 10132, 68, 1300, 14, 204, 0, 3661, 677, 2280, 1873, 275, 1844, 1660, 560, 1660, 31, 204, 204, 42164, 21778, 27466, 348, 435, 3658, 329, 16001, 348, 368, 19, 26, 3658, 19, 334, 1113, 5879, 867, 1199, 6172, 19, 1785, 529, 1425, 800, 496, 2268, 16001, 8697, 448, 5217, 448, 2268, 27466, 19, 204, 204, 3661, 677, 12091, 275, 14694, 2969, 448, 610, 6172, 841, 4904, 19, 5512, 17, 275, 4436, 2969, 353, 435, 93, 6172, 841, 4904, 19, 204, 204, 673, 1759, 2268, 27466, 353, 1936, 311, 2830, 14694, 2969, 11983, 560, 275, 690, 2268, 27466, 31, 435, 93, 19, 204, 204, 673, 1759, 2268, 16001, 353, 1936, 311, 2830, 4436, 2969, 11983, 560, 275, 690, 2268, 16001, 31, 368, 19, 26, 540, 435, 93, 289, 571, 93, 19, 204, 204, 4592, 275, 1113, 1759, 353, 1199, 6172, 17, 572, 618, 758, 719, 275, 1581, 31, 204, 204, 23, 93, 465, 571, 93, 289, 1199, 204, 204, 16758, 2090, 3099, 31, 204, 204, 26, 93, 289, 1199, 204, 204, 14880, 1855, 2902, 560, 720, 31, 204, 204, 93, 289, 681, 6172, 841, 4904, 322, 92, 8975, 2969, 14, 204, 204, 673, 4436, 2969, 353, 8697, 275, 14694, 2969, 31, 204, 204, 23, 93, 289, 435, 540, 681, 289, 1132, 6172, 841, 4904, 322, 10051, 2969, 14, 204, 204, 1449, 1356, 2077, 2073, 17, 2249, 677, 949, 275, 1113, 1759, 31, 204, 204, 14853, 27466, 31, 435, 3658, 540, 681, 6172, 20, 7459, 289, 1132, 6172, 204, 14853, 16001, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31, 368, 19, 26, 3658, 540, 1132, 6172, 20, 7459, 289, 1598, 6172, 204, 204, 6425, 1759, 31, 1132, 6172, 465, 1598, 6172, 289, 1199, 6172, 204, 204, 4356, 17, 15677, 21778, 16001, 630, 273, 2969, 302, 1132, 6172, 841, 4904, 19, 0, 647, 3805, 448, 1246, 204, 531, 781, 34620, 17383, 19, 481, 532, 636, 68, 40122, 27513, 68, 481, 204, 204, 461, 3686, 68, 40122, 27513, 68, 481, 374, 393, 1246, 19, 1362, 1152, 443, 31, 204, 264, 320, 204, 264, 4071, 275, 23086, 27513, 424, 497, 275, 424, 4065, 4712, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 1152, 443, 31, 334, 8781, 23086, 27513, 424, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 3686, 275, 23086, 27513, 424, 204, 268, 407, 636, 68, 40122, 27513, 68, 481, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 14052, 204, 268, 456, 13, 75, 7, 596, 9933, 23086, 27513, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3893, 68, 40122, 27513, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 11149, 275, 23086, 27513, 424, 560, 9101, 1163, 2630, 329, 1112, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 23086, 27513, 424, 311, 444, 7950, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 424, 353, 1097, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 424, 353, 443, 204, 264, 397, 424, 353, 443, 31, 204, 268, 407, 1078, 204, 615, 264, 314, 968, 275, 1812, 2630, 348, 275, 23086, 27513, 424, 204, 264, 1812, 68, 3786, 289, 2470, 25647, 491, 379, 30111, 491, 379, 6425, 839, 204, 615, 264, 314, 778, 397, 275, 424, 869, 275, 1812, 2630, 329, 273, 412, 1344, 7555, 204, 264, 407, 830, 13, 3071, 292, 424, 19, 3786, 348, 1837, 292, 1812, 68, 3786, 14, 329, 2381, 13, 481, 19, 998, 17, 1246, 19, 41072, 7555, 14, 204, 204, 461, 683, 68, 40122, 27513, 68, 481, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 23086, 27513, 424, 560, 9933, 329, 30635, 490, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 23086, 27513, 424, 353, 2872, 19, 204, 264, 320, 204, 264, 314, 4491, 275, 23086, 27513, 424, 204, 264, 424, 289, 3686, 68, 40122, 27513, 68, 481, 374, 204, 615, 264, 314, 3866, 275, 23086, 27513, 424, 204, 264, 397, 508, 3893, 68, 40122, 27513, 68, 481, 13, 481, 330, 204, 268, 980, 15689, 499, 43, 272, 27513, 424, 353, 2872, 431, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 40122, 27513, 68, 481, 374, 204, 0, 531, 12202, 532, 9124, 17, 14484, 204, 531, 1498, 532, 2334, 204, 647, 2010, 448, 645, 204, 204, 676, 13696, 13, 8927, 330, 204, 264, 320, 204, 264, 11663, 1034, 850, 348, 2048, 19, 204, 204, 264, 1058, 850, 3629, 273, 4802, 4147, 348, 2048, 17, 928, 618, 444, 1376, 311, 5363, 204, 264, 4109, 4685, 521, 13228, 523, 273, 800, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 1642, 9017, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 2334, 31, 204, 268, 320, 204, 268, 3963, 275, 722, 302, 275, 2648, 348, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 722, 302, 275, 2648, 15224, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 204, 676, 9664, 11896, 13, 11896, 330, 204, 264, 320, 204, 264, 13696, 850, 311, 5363, 275, 1869, 302, 273, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3963, 275, 1869, 302, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 1869, 302, 275, 424, 2158, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 424, 2158, 353, 1392, 204, 268, 397, 1245, 13, 481, 68, 2997, 14, 564, 500, 31, 204, 305, 407, 645, 19, 10377, 226, 314, 455, 17547, 348, 1392, 424, 2158, 204, 822, 268, 314, 3963, 275, 1869, 302, 275, 424, 2158, 204, 268, 407, 645, 19, 3037, 13, 481, 68, 2997, 14, 204, 204, 204, 676, 7383, 3753, 4261, 11896, 13, 11896, 330, 204, 264, 320, 204, 264, 13696, 850, 311, 5363, 275, 2599, 5432, 302, 273, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3963, 275, 2599, 5432, 302, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 2599, 5432, 302, 275, 424, 2158, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 424, 2158, 353, 1392, 204, 268, 397, 1245, 13, 481, 68, 2997, 14, 564, 500, 31, 204, 305, 407, 645, 19, 10377, 226, 314, 455, 17547, 348, 1392, 424, 2158, 204, 822, 268, 314, 3963, 275, 2599, 5432, 302, 275, 424, 2158, 204, 268, 407, 645, 19, 3960, 13, 481, 68, 2997, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 1672, 424, 2158, 204, 264, 424, 68, 2997, 289, 645, 19, 643, 1568, 22, 17, 435, 17, 571, 17, 681, 17, 720, 694, 204, 204, 264, 314, 666, 2648, 5644, 204, 264, 1869, 68, 3995, 289, 9664, 11896, 374, 204, 264, 4714, 68, 5707, 68, 3995, 289, 7383, 3753, 4261, 11896, 374, 204, 204, 264, 314, 3963, 329, 456, 275, 1563, 204, 264, 456, 499, 12275, 2180, 1869, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 3995, 19, 505, 68, 1300, 13, 481, 68, 2997, 602, 204, 264, 456, 499, 15151, 21589, 2180, 4714, 68, 5707, 68, 3995, 19, 505, 68, 1300, 13, 481, 68, 2997, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 9992, 33692, 5248, 204, 204, 4377, 496, 273, 2384, 677, 33692, 353, 6488, 681, 19, 21, 17, 2075, 353, 275, 2634, 496, 275, 2384, 353, 497, 8971, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 3126, 275, 2634, 13783, 302, 33692, 3703, 348, 4719, 329, 9992, 2459, 19, 204, 204, 777, 17345, 10677, 4626, 204, 204, 15, 334, 2634, 3272, 302, 33692, 3703, 353, 7346, 440, 2634, 500, 19, 4957, 329, 14528, 440, 2634, 500, 19, 4779, 19, 204, 15, 828, 275, 3272, 353, 7346, 17, 275, 33692, 6353, 273, 7855, 3272, 440, 2072, 1132, 329, 435, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 681, 19, 21, 14, 3091, 19, 204, 15, 828, 275, 3272, 353, 14528, 17, 275, 33692, 353, 681, 19, 21, 440, 2634, 500, 19, 6007, 329, 500, 19, 21, 440, 2634, 500, 19, 1909, 19, 204, 204, 777, 49085, 10677, 4626, 204, 204, 15, 334, 2634, 3272, 302, 33692, 3703, 353, 7346, 440, 2634, 500, 19, 2418, 329, 14528, 440, 2634, 500, 19, 3222, 19, 204, 15, 828, 275, 3272, 353, 7346, 17, 275, 33692, 6353, 273, 7855, 3272, 440, 2072, 720, 329, 720, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 931, 19, 21, 14, 3091, 19, 204, 15, 828, 275, 3272, 353, 14528, 17, 275, 33692, 353, 931, 19, 21, 440, 2634, 500, 19, 30, 329, 500, 19, 21, 440, 2634, 500, 19, 22, 19, 204, 204, 777, 42101, 46485, 4626, 204, 204, 15, 334, 2634, 496, 275, 2384, 353, 497, 7266, 353, 500, 19, 1511, 19, 204, 15, 334, 2634, 496, 275, 2384, 353, 497, 8971, 353, 500, 19, 3534, 19, 204, 204, 4931, 23787, 12849, 17, 572, 618, 949, 275, 18135, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 19, 204, 204, 3661, 677, 732, 275, 2631, 5989, 31, 204, 204, 15, 415, 13, 38, 14, 289, 500, 19, 1511, 322, 15196, 2634, 302, 2545, 497, 7266, 14, 204, 15, 415, 13, 46, 14, 289, 500, 19, 3534, 322, 15196, 2634, 302, 2545, 497, 8971, 14, 204, 15, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 289, 2634, 302, 5202, 273, 33692, 302, 681, 19, 21, 800, 496, 275, 2384, 353, 497, 7266, 204, 15, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 289, 2634, 302, 5202, 273, 33692, 302, 681, 19, 21, 800, 496, 275, 2384, 353, 497, 8971, 204, 204, 2310, 618, 949, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 329, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 974, 275, 800, 13783, 19, 204, 204, 777, 37077, 4626, 204, 204, 53, 13, 44, 34, 25, 19, 21, 97, 38, 14, 289, 500, 19, 4957, 8591, 322, 7030, 3272, 440, 2072, 1132, 329, 435, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 681, 19, 21, 14, 3091, 14, 465, 500, 19, 4779, 8591, 322, 30331, 3272, 440, 2634, 500, 19, 6007, 630, 681, 19, 21, 329, 500, 19, 1909, 630, 500, 19, 21, 14, 204, 53, 13, 44, 34, 25, 19, 21, 97, 46, 14, 289, 500, 19, 2418, 8591, 322, 7030, 3272, 440, 2072, 720, 329, 720, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 931, 19, 21, 14, 3091, 14, 465, 500, 19, 3222, 8591, 322, 30331, 3272, 440, 2634, 500, 19, 30, 630, 931, 19, 21, 329, 500, 19, 22, 630, 500, 19, 21, 14, 204, 204, 4931, 1605, 5989, 17, 572, 618, 949, 275, 18135, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 31, 204, 204, 53, 13, 38, 97, 44, 34, 25, 19, 21, 14, 289, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 8591, 415, 13, 38, 14, 802, 322, 53, 13, 44, 34, 25, 19, 21, 97, 38, 14, 8591, 415, 13, 38, 14, 465, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 8591, 415, 13, 46, 602, 204, 204, 777, 5725, 4626, 204, 204, 673, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 353, 5387, 368, 19, 21, 19, 204, 204, 1834, 722, 5814, 7211, 17, 3522, 275, 33692, 302, 681, 19, 21, 353, 3171, 1182, 5508, 311, 3891, 497, 437, 4719, 2384, 1194, 437, 9992, 2384, 17, 800, 275, 13783, 19, 0, 647, 45847, 204, 647, 690, 204, 204, 8, 968, 6860, 3454, 348, 11192, 886, 204, 24263, 68, 30012, 68, 43957, 289, 368, 204, 30012, 68, 15506, 68, 25782, 289, 931, 204, 204, 8, 968, 683, 2072, 204, 8004, 68, 28849, 17936, 2214, 289, 551, 21, 19, 26, 17, 500, 19, 28, 17, 368, 17, 368, 19, 1511, 17, 368, 19, 26, 17, 368, 19, 3534, 17, 500, 17, 368, 19, 1511, 17, 368, 19, 26, 17, 368, 19, 3534, 66, 204, 8004, 68, 41, 4544, 12196, 289, 551, 2188, 540, 3382, 66, 540, 887, 465, 551, 2682, 540, 3382, 66, 465, 551, 2188, 66, 540, 571, 204, 30012, 68, 41, 4544, 12196, 289, 551, 2188, 540, 3382, 66, 540, 887, 465, 551, 21, 66, 465, 551, 2682, 540, 3382, 66, 540, 571, 204, 204, 461, 5345, 68, 5747, 68, 32236, 13, 5433, 68, 417, 31, 394, 14, 393, 45847, 19, 8048, 31, 204, 264, 320, 204, 264, 977, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 3966, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2347, 8459, 2322, 3966, 19, 204, 204, 264, 475, 31, 204, 268, 45847, 19, 8048, 31, 334, 9810, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 3966, 68, 2754, 289, 45847, 19, 8048, 3313, 374, 204, 264, 407, 3966, 68, 2754, 19, 3664, 68, 5433, 13, 5433, 68, 417, 14, 204, 204, 461, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 8048, 17, 6264, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3291, 275, 1713, 6264, 311, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 268, 6264, 322, 996, 330, 334, 6264, 311, 3120, 19, 204, 264, 320, 204, 264, 314, 3291, 275, 1713, 6264, 440, 273, 1646, 790, 302, 368, 19, 21, 332, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 13, 75, 12, 8558, 49, 415, 1511, 59, 17, 463, 18143, 1522, 368, 19, 21, 534, 204, 204, 461, 3638, 68, 271, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8174, 523, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 611, 1420, 31, 1512, 523, 534, 204, 204, 461, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8174, 2258, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 611, 1420, 31, 1512, 2258, 534, 204, 204, 461, 1523, 68, 804, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 17, 683, 68, 18143, 31, 818, 17, 683, 68, 7083, 31, 421, 17, 5590, 68, 7083, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 273, 2875, 683, 440, 275, 1713, 6264, 329, 5401, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 268, 683, 68, 18143, 322, 996, 330, 334, 6264, 311, 3120, 1882, 275, 683, 19, 204, 268, 683, 68, 7083, 322, 339, 330, 334, 5401, 302, 275, 683, 292, 3331, 19, 204, 268, 5590, 68, 7083, 322, 339, 330, 334, 5401, 311, 5590, 1877, 275, 683, 292, 3331, 19, 204, 264, 320, 204, 264, 456, 611, 17882, 523, 534, 204, 264, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 17, 683, 68, 18143, 14, 204, 264, 3638, 68, 271, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 690, 19, 4867, 13, 804, 68, 7083, 14, 204, 264, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 17, 500, 14, 204, 264, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 456, 611, 17882, 2258, 534, 204, 264, 690, 19, 4867, 13, 4867, 68, 7083, 14, 204, 204, 461, 24064, 13, 3474, 68, 4867, 68, 8618, 31, 421, 17, 5590, 68, 4841, 68, 6821, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3398, 2974, 497, 275, 1419, 5590, 3658, 440, 273, 1713, 5590, 3091, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 4867, 68, 8618, 322, 339, 330, 334, 1419, 5590, 3658, 19, 204, 268, 5590, 68, 4841, 68, 6821, 322, 339, 330, 334, 5590, 3091, 292, 3331, 19, 204, 264, 320, 204, 264, 1419, 68, 4867, 68, 6821, 289, 1419, 68, 4867, 68, 8618, 540, 3382, 540, 3382, 204, 264, 348, 296, 292, 933, 13, 3474, 68, 4867, 68, 6821, 330, 204, 268, 397, 296, 1564, 5590, 68, 4841, 68, 6821, 564, 500, 31, 204, 305, 456, 13, 75, 4705, 3474, 68, 4867, 68, 6821, 338, 296, 98, 3331, 4017, 534, 204, 268, 690, 19, 4867, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 348, 275, 3467, 19, 204, 264, 320, 204, 264, 3966, 68, 417, 289, 379, 44, 1338, 39, 21, 8799, 22, 8799, 1143, 14152, 12, 204, 264, 2347, 68, 32236, 68, 3075, 289, 5345, 68, 5747, 68, 32236, 13, 5433, 68, 417, 14, 204, 264, 456, 13, 75, 12, 7820, 336, 683, 19, 807, 5590, 348, 463, 24263, 68, 30012, 68, 43957, 98, 3658, 534, 204, 264, 24064, 13, 24263, 68, 30012, 68, 43957, 17, 387, 27212, 68, 15506, 68, 25782, 14, 204, 264, 348, 683, 68, 998, 17, 322, 804, 68, 18143, 17, 683, 68, 7083, 17, 5590, 68, 7083, 14, 292, 3209, 13, 5714, 13, 8004, 68, 28849, 17936, 2214, 17, 15521, 68, 41, 4544, 12196, 17, 387, 27212, 68, 41, 4544, 12196, 4019, 204, 268, 456, 13, 75, 12, 2346, 463, 804, 68, 998, 465, 368, 2829, 25795, 289, 463, 804, 68, 18143, 98, 628, 17, 29844, 289, 463, 804, 68, 7083, 98, 3331, 534, 204, 268, 1523, 68, 804, 13, 5747, 68, 32236, 68, 3075, 17, 683, 68, 18143, 17, 683, 68, 7083, 17, 5590, 68, 7083, 14, 204, 264, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 456, 611, 2346, 3870, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 5683, 204, 531, 5682, 532, 10974, 68, 7735, 204, 531, 5682, 19, 11851, 532, 27628, 204, 531, 5682, 532, 2805, 204, 531, 5682, 532, 15321, 204, 531, 5682, 532, 27450, 204, 531, 4305, 19, 6026, 532, 6528, 204, 204, 8, 968, 23443, 204, 37, 6598, 19, 8999, 204, 461, 1392, 68, 3530, 68, 11851, 374, 393, 27628, 31, 204, 264, 320, 6266, 437, 1392, 2786, 7667, 1279, 204, 264, 407, 27628, 374, 204, 204, 37, 6598, 19, 8999, 204, 461, 25417, 68, 3530, 68, 11851, 374, 393, 27628, 31, 204, 264, 320, 6266, 273, 25417, 2786, 7667, 440, 23516, 5682, 1279, 204, 264, 7667, 289, 27628, 374, 204, 264, 348, 4849, 292, 15321, 19, 505, 68, 6272, 1493, 1293, 204, 268, 2786, 289, 10974, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 379, 39066, 285, 534, 204, 268, 7667, 19, 5021, 68, 633, 68, 2723, 13, 3530, 14, 204, 264, 407, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7667, 204, 204, 8, 968, 683, 2910, 204, 461, 683, 68, 924, 68, 11851, 374, 393, 443, 31, 204, 264, 320, 12108, 275, 7934, 302, 273, 7667, 1279, 204, 264, 314, 666, 273, 717, 7667, 329, 1356, 397, 490, 677, 1392, 204, 264, 7667, 289, 27628, 374, 204, 264, 2136, 7667, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 4868, 68, 11851, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 437, 1392, 7667, 1279, 204, 264, 314, 778, 397, 275, 7667, 353, 1392, 204, 264, 2136, 1392, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 4952, 68, 4108, 68, 16939, 68, 27316, 68, 531, 68, 4868, 68, 11851, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 8374, 497, 437, 1392, 7667, 10036, 437, 2710, 1279, 204, 264, 314, 6608, 311, 2790, 273, 2786, 497, 437, 1392, 7667, 329, 1356, 397, 437, 2710, 353, 7514, 204, 264, 440, 5683, 19, 11688, 13, 5678, 19, 3882, 40, 7062, 19584, 2940, 330, 204, 268, 1392, 68, 3530, 68, 11851, 19, 3320, 374, 204, 204, 461, 683, 68, 2723, 68, 5021, 68, 16899, 68, 10247, 68, 4868, 68, 11851, 68, 37956, 3710, 68, 920, 68, 7735, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 18740, 273, 2786, 1025, 437, 1392, 7667, 7529, 275, 2786, 1040, 1279, 204, 264, 314, 6461, 273, 2786, 1025, 437, 1392, 7667, 329, 1356, 397, 275, 2786, 1040, 7529, 204, 264, 2786, 289, 10974, 68, 7735, 19, 11505, 374, 204, 264, 1392, 68, 3530, 68, 11851, 19, 5021, 68, 633, 68, 2723, 13, 3530, 14, 204, 264, 2136, 1392, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 368, 204, 204, 461, 683, 68, 2723, 68, 5021, 68, 416, 68, 3320, 68, 25382, 88, 68, 9743, 68, 3530, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 18740, 329, 8374, 273, 2786, 13729, 275, 1729, 2786, 1279, 204, 264, 314, 6461, 273, 2786, 1025, 437, 1392, 7667, 329, 2790, 490, 1818, 204, 264, 12493, 68, 3530, 289, 10974, 68, 7735, 19, 11505, 374, 204, 264, 1392, 68, 3530, 68, 11851, 19, 5021, 68, 633, 68, 2723, 13, 41270, 68, 3530, 14, 204, 264, 9470, 68, 3530, 289, 1392, 68, 3530, 68, 11851, 19, 3320, 374, 204, 264, 2136, 12493, 68, 3530, 353, 9470, 68, 3530, 204, 204, 461, 683, 68, 12446, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 41439, 273, 7667, 1279, 204, 264, 314, 25104, 275, 8062, 741, 329, 1356, 397, 490, 677, 3250, 204, 264, 440, 6528, 611, 7735, 19, 11851, 19, 2017, 19, 12446, 534, 448, 4306, 68, 12446, 31, 204, 268, 25417, 68, 3530, 68, 11851, 19, 12446, 374, 204, 268, 4306, 68, 12446, 19, 1858, 68, 10277, 68, 16899, 374, 204, 204, 461, 683, 68, 3956, 68, 3530, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 273, 2786, 497, 273, 7667, 1279, 204, 264, 314, 3182, 273, 2786, 497, 275, 7667, 329, 1356, 397, 490, 677, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 9839, 17, 27450, 19, 42271, 1557, 602, 204, 264, 1812, 68, 7735, 289, 551, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 27450, 19, 42271, 1557, 14, 204, 13653, 348, 4849, 292, 551, 20685, 19, 57, 1888, 17, 15321, 19, 47, 6135, 17, 15321, 19, 21111, 1888, 17, 15321, 19, 43316, 2629, 204, 264, 348, 1812, 68, 3530, 292, 1812, 68, 7735, 31, 204, 268, 2136, 1812, 68, 3530, 292, 25417, 68, 3530, 68, 11851, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 681, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 8765, 68, 3530, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 7428, 302, 273, 2875, 2786, 1279, 204, 264, 314, 3182, 830, 7428, 302, 273, 2875, 2786, 329, 1356, 397, 1250, 7188, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 68, 668, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 9839, 17, 27450, 19, 42271, 1557, 602, 204, 264, 1812, 68, 7735, 289, 551, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 27450, 19, 42271, 1557, 14, 204, 13653, 348, 4849, 292, 551, 20685, 19, 57, 1888, 17, 15321, 19, 47, 6135, 17, 15321, 19, 21111, 1888, 17, 15321, 19, 43316, 2629, 204, 264, 348, 1812, 68, 3530, 292, 1812, 68, 7735, 31, 204, 268, 2136, 1812, 68, 3530, 292, 25417, 68, 3530, 68, 11851, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 681, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 23225, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 5682, 496, 2216, 273, 10939, 1279, 204, 264, 314, 3182, 830, 5682, 496, 2216, 273, 10939, 329, 1356, 397, 1250, 7188, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 68, 668, 13, 40441, 19, 42271, 1557, 14, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 16204, 68, 389, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 5682, 827, 1051, 1279, 204, 264, 314, 6461, 3536, 5682, 1025, 275, 7667, 329, 3142, 830, 827, 1051, 204, 264, 7667, 289, 1392, 68, 3530, 68, 11851, 204, 264, 348, 296, 292, 933, 13, 26, 330, 204, 268, 7667, 19, 5021, 68, 633, 68, 2723, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 43316, 17, 27450, 19, 4687, 7622, 602, 204, 264, 7667, 19, 5021, 68, 633, 68, 2723, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 3745, 4544, 17, 27450, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42271, 1557, 602, 204, 264, 7667, 19, 12446, 374, 204, 264, 7667, 19, 3956, 68, 668, 13, 20685, 19, 43316, 14, 204, 264, 2136, 7667, 19, 920, 68, 7735, 564, 368, 204, 264, 2136, 7667, 19, 3320, 374, 564, 10974, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 3745, 4544, 17, 27450, 19, 42271, 1557, 14, 204, 0, 647, 6032, 448, 1774, 204, 204, 461, 458, 68, 6772, 68, 13238, 374, 393, 443, 31, 204, 264, 320, 204, 264, 23908, 3221, 7204, 2755, 348, 12105, 19, 204, 204, 264, 1058, 741, 5538, 275, 458, 302, 3221, 7204, 2755, 348, 12105, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 3221, 7204, 204, 264, 3221, 68, 13238, 289, 1774, 19, 1087, 19, 655, 68, 4132, 68, 13238, 611, 22690, 534, 465, 1774, 19, 1087, 19, 655, 68, 4132, 68, 13238, 611, 22990, 534, 204, 615, 264, 314, 1198, 275, 458, 302, 3221, 7204, 204, 264, 456, 499, 21235, 7204, 2212, 204, 264, 348, 2322, 292, 3221, 68, 13238, 31, 204, 268, 456, 13, 75, 7, 226, 338, 463, 3075, 19, 417, 743, 204, 204, 461, 838, 68, 15117, 68, 1538, 68, 20950, 374, 393, 927, 64, 2987, 19, 1556, 17, 1774, 19, 1556, 744, 204, 264, 320, 204, 264, 2605, 970, 7703, 348, 1525, 6177, 19, 204, 204, 264, 475, 31, 204, 268, 1525, 68, 70, 322, 2987, 19, 1556, 330, 334, 1043, 1525, 19, 204, 268, 1525, 68, 71, 322, 2987, 19, 1556, 330, 334, 1350, 1525, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2665, 329, 1019, 302, 275, 7703, 204, 264, 1525, 68, 70, 68, 1827, 289, 322, 23, 17, 571, 14, 204, 264, 1525, 68, 71, 68, 1827, 289, 322, 24, 17, 435, 14, 204, 264, 1525, 68, 70, 68, 1309, 289, 551, 22, 19, 21, 17, 435, 19, 21, 17, 571, 19, 21, 17, 681, 19, 21, 17, 720, 19, 21, 17, 887, 19, 21, 66, 204, 264, 1525, 68, 71, 68, 1309, 289, 551, 22, 19, 21, 17, 435, 19, 21, 17, 571, 19, 21, 17, 681, 19, 21, 17, 720, 19, 21, 17, 887, 19, 21, 66, 204, 204, 264, 314, 666, 275, 7703, 204, 264, 1525, 68, 70, 289, 1774, 19, 9185, 13, 1663, 68, 70, 68, 1309, 17, 2665, 34, 1663, 68, 70, 68, 1827, 17, 588, 833, 1663, 68, 70, 534, 204, 264, 1525, 68, 71, 289, 1774, 19, 9185, 13, 1663, 68, 71, 68, 1309, 17, 2665, 34, 1663, 68, 71, 68, 1827, 17, 588, 833, 1663, 68, 71, 534, 204, 615, 264, 407, 1525, 68, 70, 17, 1525, 68, 71, 204, 204, 461, 2811, 68, 1663, 68, 20950, 13, 1663, 68, 70, 31, 1774, 19, 1556, 17, 1525, 68, 71, 31, 1774, 19, 1556, 14, 393, 1774, 19, 1556, 31, 204, 264, 320, 204, 264, 9715, 1525, 6177, 523, 970, 7703, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 68, 70, 322, 2987, 19, 1556, 330, 334, 1043, 1525, 19, 204, 268, 1525, 68, 71, 322, 2987, 19, 1556, 330, 334, 1350, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 722, 322, 2987, 19, 1556, 330, 334, 722, 302, 275, 1525, 6177, 19, 204, 264, 320, 204, 264, 314, 3055, 1525, 6177, 974, 1774, 19, 15800, 204, 264, 722, 289, 1774, 19, 15800, 13, 1663, 68, 70, 17, 1525, 68, 71, 14, 204, 615, 264, 407, 722, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 1058, 741, 3330, 275, 2755, 7204, 17, 6609, 970, 7703, 17, 16510, 1525, 6177, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 783, 2755, 7204, 204, 264, 458, 68, 6772, 68, 13238, 374, 204, 615, 264, 314, 666, 7703, 348, 6177, 204, 264, 1525, 68, 70, 17, 1525, 68, 71, 289, 838, 68, 15117, 68, 1538, 68, 20950, 374, 204, 615, 264, 314, 3055, 1525, 6177, 204, 264, 722, 289, 2811, 68, 1663, 68, 20950, 13, 1663, 68, 70, 17, 1525, 68, 71, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 499, 11767, 332, 2212, 204, 264, 456, 13, 1663, 68, 70, 14, 204, 264, 456, 499, 11767, 565, 2212, 204, 264, 456, 13, 1663, 68, 71, 14, 204, 264, 456, 499, 5725, 302, 9260, 14579, 2212, 204, 264, 456, 13, 1300, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 32452, 204, 531, 1127, 532, 458, 1217, 204, 531, 1127, 19, 546, 532, 353, 553, 17, 5157, 204, 647, 8738, 204, 647, 690, 204, 204, 676, 9841, 31, 204, 264, 320, 204, 264, 332, 24552, 575, 4510, 348, 332, 4329, 28595, 8025, 368, 19, 22, 7855, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 68, 36768, 31, 7063, 330, 204, 268, 320, 204, 268, 1865, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 36768, 322, 10740, 330, 334, 17533, 311, 1012, 1330, 275, 388, 7820, 7, 2963, 353, 18728, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 3347, 19, 7882, 374, 204, 268, 370, 19, 2125, 19, 1778, 499, 38, 4329, 28595, 8025, 368, 19, 22, 7855, 431, 204, 268, 370, 19, 1530, 68, 36768, 289, 1012, 68, 36768, 204, 268, 370, 19, 1420, 68, 492, 289, 3347, 19, 3430, 13, 327, 19, 2125, 14, 204, 268, 370, 19, 1420, 68, 492, 19, 3674, 374, 204, 268, 370, 19, 11549, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 2125, 17, 1068, 1022, 473, 31, 473, 431, 204, 268, 370, 19, 11549, 68, 1676, 19, 3674, 374, 204, 268, 370, 19, 1510, 68, 12669, 374, 204, 204, 264, 436, 838, 68, 12669, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 13085, 348, 275, 9841, 19, 204, 268, 320, 204, 268, 314, 666, 6710, 204, 268, 1913, 68, 1669, 289, 3347, 19, 1126, 13, 327, 19, 2125, 14, 204, 268, 1913, 68, 1669, 19, 3674, 374, 204, 268, 1824, 68, 1669, 289, 3347, 19, 1126, 13, 2723, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 1669, 14, 204, 268, 1824, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 12842, 14, 204, 268, 1629, 68, 1669, 289, 3347, 19, 1126, 13, 2723, 68, 1669, 14, 204, 268, 1629, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 13544, 14, 204, 268, 5533, 68, 1669, 289, 3347, 19, 1126, 13, 327, 19, 2125, 14, 204, 268, 5533, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 204, 268, 314, 763, 424, 329, 9696, 1860, 204, 268, 370, 19, 481, 68, 2375, 289, 370, 19, 505, 68, 481, 68, 2375, 374, 204, 268, 370, 19, 5547, 68, 2375, 289, 370, 19, 505, 68, 5547, 68, 2375, 374, 204, 204, 268, 314, 666, 10499, 8982, 204, 268, 370, 19, 481, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 5547, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 1510, 68, 20766, 68, 12766, 13, 1735, 68, 1669, 17, 370, 19, 481, 68, 2375, 17, 370, 19, 481, 68, 4415, 17, 388, 989, 25865, 431, 204, 268, 370, 19, 1510, 68, 20766, 68, 12766, 13, 1735, 68, 1669, 17, 370, 19, 5547, 68, 2375, 17, 370, 19, 5547, 68, 4415, 17, 388, 36818, 25865, 431, 204, 204, 268, 314, 666, 8982, 204, 268, 370, 19, 1510, 68, 12766, 13, 1735, 68, 1669, 14, 204, 204, 268, 314, 666, 1356, 7040, 204, 268, 370, 19, 2896, 68, 18366, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 11469, 68, 633, 68, 7129, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 1510, 68, 2555, 7040, 13, 1633, 68, 1669, 14, 204, 204, 264, 436, 838, 68, 20766, 68, 12766, 13, 327, 17, 2023, 31, 3347, 19, 1126, 17, 1860, 31, 458, 17, 1554, 31, 3347, 19, 44551, 17, 1800, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 10499, 8982, 348, 275, 800, 1860, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 10499, 8982, 292, 19, 204, 305, 1860, 322, 655, 330, 334, 458, 302, 1860, 311, 838, 10499, 8982, 348, 19, 204, 305, 1554, 322, 4111, 19, 44551, 330, 334, 1554, 311, 19611, 440, 275, 10499, 8982, 19, 204, 305, 1800, 322, 325, 330, 334, 1800, 311, 2037, 4166, 275, 10499, 8982, 19, 204, 268, 320, 204, 268, 3347, 19, 6872, 13, 1669, 17, 1068, 34, 1676, 789, 3674, 374, 204, 268, 348, 296, 17, 510, 292, 3209, 13, 2375, 330, 204, 305, 3347, 19, 28555, 2947, 13, 1669, 17, 1068, 34, 553, 17, 1554, 34, 3334, 17, 700, 34, 78, 789, 3674, 13, 19492, 34, 4111, 19, 60, 14, 204, 204, 264, 436, 838, 68, 12766, 13, 327, 17, 2023, 31, 3347, 19, 1126, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 8982, 348, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 8982, 292, 19, 204, 268, 320, 204, 268, 1012, 68, 2947, 289, 3347, 19, 6059, 13, 1669, 17, 1068, 1022, 7820, 528, 1354, 34, 327, 19, 1530, 68, 10132, 14, 204, 268, 1012, 68, 2947, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 268, 5925, 68, 2947, 289, 3347, 19, 6059, 13, 1669, 17, 1068, 1022, 17100, 528, 1354, 34, 327, 19, 2125, 19, 11207, 14, 204, 268, 5925, 68, 2947, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 204, 264, 436, 838, 68, 2555, 7040, 13, 327, 17, 2023, 31, 3347, 19, 1126, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 1356, 7040, 348, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 1356, 7040, 292, 19, 204, 268, 320, 204, 268, 3347, 19, 5995, 2947, 13, 1669, 17, 1068, 1022, 14625, 14054, 528, 1554, 34, 327, 19, 2896, 68, 18366, 68, 4415, 789, 3674, 374, 204, 268, 3347, 19, 5995, 2947, 13, 1669, 17, 1068, 1022, 23612, 311, 7956, 528, 1554, 34, 327, 19, 11469, 68, 633, 68, 7129, 68, 4415, 789, 3674, 374, 204, 204, 264, 436, 636, 68, 481, 68, 2375, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 3596, 275, 424, 1860, 497, 275, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 334, 458, 302, 424, 1860, 19, 204, 268, 320, 204, 268, 407, 551, 75, 348, 283, 292, 458, 1217, 22335, 481, 431, 397, 353, 553, 13, 1541, 22335, 481, 528, 283, 602, 329, 283, 19, 9641, 499, 24, 409, 14094, 204, 204, 264, 436, 636, 68, 5547, 68, 2375, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 3596, 275, 9696, 1860, 497, 275, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 334, 458, 302, 9696, 1860, 19, 204, 268, 320, 204, 268, 407, 551, 75, 348, 283, 292, 458, 1217, 22335, 481, 431, 397, 353, 553, 13, 1541, 22335, 481, 528, 283, 602, 329, 283, 19, 9641, 499, 5547, 14094, 204, 204, 264, 436, 1012, 68, 10132, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15374, 275, 4249, 19, 204, 268, 320, 204, 268, 424, 68, 553, 289, 370, 19, 481, 68, 2375, 64, 327, 19, 481, 68, 4415, 19, 505, 6485, 204, 268, 5704, 68, 553, 289, 370, 19, 5547, 68, 2375, 64, 327, 19, 5547, 68, 4415, 19, 505, 6485, 204, 268, 370, 19, 1530, 68, 36768, 13, 327, 17, 424, 68, 553, 17, 5704, 68, 553, 14, 204, 268, 370, 19, 2125, 19, 14677, 374, 204, 204, 264, 436, 2281, 68, 633, 68, 1420, 13, 327, 17, 5530, 31, 394, 289, 388, 3170, 528, 19544, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10515, 311, 275, 919, 1068, 2871, 19, 204, 204, 268, 457, 31, 204, 305, 5530, 322, 325, 330, 334, 943, 311, 2281, 19, 204, 305, 19544, 322, 2107, 330, 2266, 311, 19544, 275, 4449, 1068, 19, 204, 268, 320, 204, 268, 397, 19544, 31, 204, 305, 370, 19, 1420, 68, 492, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 2756, 13, 22, 19, 21, 17, 3347, 19, 6627, 14, 204, 305, 370, 19, 1420, 68, 492, 19, 5021, 13, 4111, 19, 14483, 17, 5530, 14, 204, 268, 902, 31, 204, 305, 370, 19, 1420, 68, 492, 19, 5021, 13, 4111, 19, 14483, 17, 5530, 14, 204, 268, 370, 19, 2125, 19, 2045, 374, 204, 204, 264, 436, 1395, 68, 11549, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 9869, 1800, 19, 204, 268, 320, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 268, 1335, 959, 31, 204, 305, 13179, 68, 834, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 305, 4112, 17, 3331, 289, 33564, 13, 19268, 68, 834, 17, 3382, 14, 204, 305, 370, 19, 11549, 68, 1676, 19, 1087, 13, 492, 34, 75, 1954, 339, 13, 10530, 330, 5559, 73, 10829, 339, 13, 6821, 330, 5559, 73, 743, 204, 305, 370, 19, 2125, 19, 2045, 374, 204, 305, 690, 19, 4867, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 436, 1012, 68, 36768, 13, 14891, 31, 9841, 17, 424, 68, 553, 31, 394, 17, 5704, 68, 553, 31, 394, 14, 393, 443, 31, 204, 268, 314, 8800, 4249, 1576, 3237, 204, 268, 1879, 204, 204, 264, 24536, 289, 9841, 13, 1530, 68, 36768, 14, 204, 264, 8738, 19, 9928, 13, 2170, 34, 14891, 19, 2045, 68, 11549, 789, 1530, 374, 204, 264, 24536, 19, 2125, 19, 14677, 374, 204, 0, 1834, 16680, 1472, 353, 1085, 302, 275, 16495, 47078, 1158, 46161, 884, 88, 32135, 19, 334, 19368, 5581, 302, 808, 4510, 1741, 1228, 322, 38881, 275, 3310, 19368, 16680, 1472, 348, 3695, 302, 19368, 6137, 659, 521, 275, 4510, 1741, 508, 444, 7306, 523, 19368, 19, 204, 1858, 19, 77, 5323, 6767, 2548, 25757, 204, 673, 7800, 8699, 523, 808, 4398, 1472, 353, 17498, 440, 275, 21582, 346, 2599, 19, 2334, 9422, 1283, 275, 7949, 8699, 3237, 329, 275, 21582, 346, 2599, 353, 794, 22324, 8979, 19, 1058, 3351, 302, 16495, 47078, 19, 22, 18, 18094, 436, 375, 311, 275, 21582, 346, 2599, 19, 204, 673, 962, 1858, 19, 77, 35, 3494, 10634, 7072, 275, 2136, 374, 20285, 19, 1547, 11647, 311, 275, 20285, 392, 9281, 928, 353, 508, 4310, 292, 275, 3494, 19, 828, 392, 9281, 353, 4310, 448, 273, 20285, 588, 2518, 275, 23091, 302, 808, 3494, 17, 275, 2136, 374, 20285, 10634, 444, 4310, 7493, 448, 31, 204, 8, 18125, 2136, 13, 12286, 48841, 22623, 14, 500, 14, 204, 12695, 1712, 17, 275, 20285, 42965, 448, 8699, 292, 2136, 1528, 204, 673, 2136, 374, 20285, 10634, 444, 304, 10208, 5575, 311, 275, 790, 1259, 302, 392, 9281, 848, 690, 962, 1858, 19, 77, 35, 353, 6999, 19, 204, 673, 2136, 374, 20285, 10634, 444, 7306, 448, 273, 20285, 17, 508, 448, 273, 741, 19, 828, 275, 20285, 4790, 353, 42361, 292, 1552, 311, 3073, 437, 2641, 741, 17, 275, 6137, 353, 23366, 19, 204, 673, 2631, 11056, 529, 19153, 19, 204, 673, 6136, 5181, 6269, 3351, 302, 16495, 47078, 19, 22, 18, 18094, 17, 2136, 374, 204, 13840, 1178, 302, 808, 1068, 529, 304, 38311, 329, 10876, 3862, 292, 16589, 798, 497, 44565, 1200, 73, 1607, 24, 19, 22, 17, 10072, 27453, 17, 7383, 348, 10455, 15259, 5187, 9182, 578, 36610, 6136, 26237, 322, 2701, 47078, 659, 334, 3594, 6885, 3301, 7314, 7973, 25886, 1168, 17, 21118, 322, 40, 14, 10072, 560, 275, 10249, 302, 33683, 329, 11405, 36292, 41813, 17, 15479, 329, 334, 3594, 6885, 19, 322, 1834, 353, 16495, 47078, 19, 22, 18, 18094, 440, 275, 10072, 31433, 5468, 6708, 43202, 368, 6310, 6268, 592, 275, 1643, 302, 1169, 39401, 1283, 808, 2585, 329, 275, 2171, 44565, 329, 334, 3594, 6885, 7383, 17, 275, 2171, 44565, 329, 334, 3594, 6885, 7383, 353, 275, 5438, 2265, 3243, 19, 334, 2171, 7383, 618, 444, 8744, 7110, 630, 4778, 1963, 4537, 19, 29163, 19, 4563, 20, 19960, 19, 2079, 2617, 204, 5588, 40975, 36231, 521, 15022, 2744, 496, 6743, 292, 808, 1472, 529, 1901, 5508, 311, 874, 1742, 12009, 1882, 275, 5818, 302, 275, 2139, 1860, 311, 1064, 1472, 1883, 19, 2416, 2556, 1702, 2744, 17, 3020, 10447, 1963, 4537, 19, 7317, 19, 4563, 20, 3228, 20, 1486, 18, 8381, 20, 38201, 68, 39653, 19, 2079, 2617, 0, 647, 2010, 448, 645, 204, 531, 2010, 19, 11450, 532, 7757, 204, 531, 7588, 532, 18809, 68, 6844, 204, 531, 4708, 532, 1184, 23241, 204, 531, 1498, 532, 783, 204, 204, 531, 6130, 19, 11901, 532, 752, 204, 531, 6130, 19, 25991, 19, 21330, 1845, 532, 19868, 1845, 204, 531, 6130, 19, 25991, 19, 21330, 1845, 532, 5221, 68, 768, 204, 647, 6032, 448, 1774, 204, 204, 676, 3207, 46190, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 5408, 2388, 974, 275, 19868, 1845, 570, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 570, 1164, 19868, 1845, 204, 268, 334, 19868, 1845, 570, 440, 3207, 5480, 3093, 329, 2900, 1913, 4131, 19, 204, 264, 1582, 1164, 1774, 19, 5963, 204, 268, 334, 4610, 1582, 348, 12105, 19, 204, 264, 4675, 68, 13753, 1164, 758, 204, 268, 332, 758, 302, 4675, 510, 11904, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 3207, 46190, 850, 19, 204, 268, 320, 204, 268, 370, 19, 809, 289, 19868, 1845, 13, 3815, 833, 32152, 491, 2255, 68, 2723, 34, 1975, 14, 204, 268, 370, 19, 1944, 289, 1774, 19, 505, 68, 2305, 68, 1944, 374, 204, 268, 370, 19, 13307, 68, 13753, 289, 758, 8031, 4955, 491, 379, 5684, 491, 379, 17997, 2378, 204, 204, 264, 436, 353, 68, 13307, 68, 553, 13, 327, 17, 2049, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 510, 869, 437, 4675, 5674, 19, 204, 204, 268, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 510, 869, 437, 4675, 5674, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 778, 397, 275, 2049, 3192, 273, 7844, 329, 275, 5674, 353, 292, 275, 4675, 11904, 204, 268, 407, 19849, 292, 2049, 329, 2049, 19, 33800, 28408, 368, 5604, 22, 1664, 3006, 374, 292, 370, 19, 13307, 68, 13753, 204, 204, 264, 436, 1352, 68, 935, 13, 327, 17, 752, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 3325, 437, 752, 560, 4644, 17, 29262, 17, 329, 32243, 490, 19, 204, 204, 268, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 268, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4050, 752, 2048, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 752, 329, 10752, 490, 311, 322, 16613, 17, 14692, 14, 204, 268, 3840, 289, 752, 19, 986, 68, 3371, 13, 935, 68, 546, 17, 1029, 68, 835, 3644, 16613, 17, 14692, 602, 204, 268, 314, 2208, 275, 752, 311, 437, 1348, 204, 268, 3840, 68, 481, 289, 752, 19, 3371, 68, 633, 68, 643, 13, 3371, 14, 204, 268, 314, 1255, 273, 2068, 5117, 204, 268, 3840, 68, 481, 289, 645, 19, 11185, 68, 10840, 13, 3371, 68, 481, 17, 3138, 34, 21, 14, 204, 268, 314, 8192, 275, 537, 204, 268, 3840, 68, 481, 289, 5221, 68, 768, 13, 3371, 68, 481, 14, 204, 204, 268, 314, 1974, 275, 570, 311, 1967, 2048, 497, 275, 752, 204, 268, 440, 370, 19, 1944, 19, 402, 68, 2305, 1293, 204, 305, 2048, 289, 370, 19, 809, 19, 4396, 13, 3371, 68, 481, 14, 204, 268, 407, 2048, 204, 204, 264, 436, 1814, 68, 633, 68, 766, 13, 327, 17, 424, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 2208, 273, 782, 2355, 302, 273, 955, 1818, 1025, 273, 2010, 1348, 19, 204, 204, 268, 457, 31, 204, 268, 424, 322, 325, 330, 334, 782, 2355, 302, 275, 955, 19, 204, 204, 268, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6004, 2010, 1348, 19, 204, 268, 320, 204, 268, 314, 2208, 275, 782, 311, 273, 955, 204, 268, 2048, 289, 18809, 68, 6844, 13, 481, 14, 204, 268, 314, 666, 273, 2010, 1348, 440, 275, 1706, 2665, 204, 268, 300, 643, 289, 645, 19, 4324, 1802, 22, 17, 1168, 17, 1168, 17, 12251, 602, 204, 204, 268, 314, 17207, 275, 2010, 1348, 440, 275, 1019, 497, 275, 955, 204, 268, 348, 296, 17, 1043, 292, 2048, 19, 1996, 1293, 204, 305, 348, 781, 17, 1350, 292, 1043, 19, 1996, 1293, 204, 485, 348, 724, 17, 4986, 292, 1350, 19, 1996, 1293, 204, 895, 348, 317, 17, 12044, 292, 4986, 19, 1996, 1293, 204, 2058, 300, 643, 64, 78, 1799, 79, 1799, 80, 1799, 81, 66, 289, 12044, 204, 204, 268, 407, 300, 643, 204, 204, 264, 436, 1020, 68, 19764, 68, 9274, 13, 327, 17, 752, 68, 546, 31, 394, 17, 752, 68, 643, 31, 783, 14, 393, 783, 31, 204, 268, 320, 204, 268, 1752, 275, 8462, 4083, 311, 437, 752, 292, 273, 458, 302, 2388, 19, 204, 204, 268, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 268, 752, 68, 643, 322, 1218, 330, 334, 458, 302, 2388, 311, 5408, 440, 19, 204, 204, 268, 475, 31, 204, 268, 783, 31, 332, 458, 302, 275, 1913, 720, 8462, 4083, 19, 204, 268, 320, 204, 268, 314, 3325, 275, 752, 329, 636, 1163, 2048, 204, 268, 752, 68, 2226, 289, 370, 19, 1616, 68, 935, 13, 935, 68, 546, 14, 204, 268, 314, 977, 273, 458, 311, 1640, 275, 8462, 4083, 204, 268, 8462, 68, 9274, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 458, 302, 2388, 204, 268, 348, 3840, 292, 752, 68, 643, 31, 204, 305, 314, 888, 275, 3671, 2292, 1283, 275, 752, 329, 275, 790, 752, 292, 275, 458, 204, 305, 7448, 289, 463, 204, 485, 379, 1368, 88, 920, 597, 3840, 19, 1368, 88, 920, 17, 204, 485, 379, 3529, 2292, 597, 7757, 13, 935, 68, 2226, 338, 370, 19, 6470, 68, 633, 68, 766, 13, 3371, 19, 2226, 602, 204, 305, 1211, 204, 305, 314, 1255, 275, 7448, 311, 275, 458, 302, 8462, 4083, 204, 305, 8462, 68, 9274, 19, 1223, 13, 20350, 14, 204, 204, 268, 314, 4641, 275, 458, 302, 8462, 4083, 560, 3671, 2292, 204, 268, 8462, 68, 9274, 19, 2975, 13, 644, 34, 1271, 23241, 611, 3529, 2292, 3063, 204, 268, 314, 455, 275, 1913, 720, 8462, 4083, 204, 268, 407, 551, 72, 736, 1368, 88, 920, 839, 348, 279, 292, 8462, 68, 9274, 2022, 26, 2629, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 39207, 289, 3207, 46190, 374, 204, 264, 752, 68, 546, 289, 388, 546, 68, 633, 68, 7941, 68, 935, 19, 5684, 7, 204, 264, 752, 68, 643, 289, 20866, 1368, 88, 920, 559, 368, 17, 388, 2226, 559, 11465, 2495, 1522, 2832, 1368, 88, 920, 559, 435, 17, 388, 2226, 559, 11465, 2495, 11129, 204, 264, 8462, 68, 9274, 289, 39207, 19, 2269, 68, 19764, 68, 9274, 13, 935, 68, 546, 17, 752, 68, 643, 14, 204, 264, 456, 13, 19764, 68, 9274, 14, 204, 0, 1571, 5648, 7515, 4042, 2549, 10574, 36046, 884, 88, 15747, 21811, 329, 838, 3490, 440, 27229, 38289, 5194, 17, 5575, 311, 275, 13153, 9354, 7515, 2652, 2556, 11159, 5319, 19, 204, 56, 11014, 415, 569, 276, 353, 8323, 1081, 16123, 302, 45815, 8134, 630, 36046, 4639, 19, 6234, 13335, 523, 275, 35075, 2668, 348, 275, 2556, 329, 353, 275, 17749, 1070, 11707, 348, 275, 17758, 9965, 9280, 19, 204, 990, 46, 4030, 1422, 529, 1429, 4199, 11658, 17, 1101, 808, 353, 1425, 437, 23211, 690, 4412, 415, 569, 276, 5366, 19, 1622, 673, 2556, 353, 35941, 292, 1163, 7058, 17, 329, 490, 6876, 1259, 23673, 311, 1012, 4461, 12939, 3214, 1025, 12711, 21603, 3582, 204, 10972, 20043, 884, 88, 15747, 7561, 17, 292, 4539, 17, 353, 17950, 311, 9793, 7515, 4042, 329, 8282, 5583, 19, 204, 60, 310, 476, 34445, 8812, 311, 6394, 21515, 302, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14822, 17, 329, 8797, 476, 17, 4870, 270, 16082, 375, 8812, 311, 1869, 496, 275, 14822, 3437, 2202, 18540, 17, 23963, 299, 13729, 19, 204, 12129, 36046, 10845, 17950, 311, 7515, 2652, 353, 6571, 42096, 329, 20502, 5194, 19, 2474, 14998, 39856, 20493, 82, 275, 5194, 17, 329, 38678, 42096, 353, 45312, 1025, 2077, 2263, 3641, 17, 4141, 273, 3566, 2667, 20227, 19, 204, 27742, 2090, 334, 3898, 94, 313, 14229, 292, 9992, 42603, 2248, 1662, 36046, 353, 2861, 4145, 311, 8649, 311, 7515, 2652, 19, 204, 10972, 20043, 1425, 869, 630, 94, 25148, 2223, 12492, 302, 20127, 20031, 3610, 440, 2077, 2796, 10845, 2317, 1465, 1199, 2847, 5092, 1194, 275, 6838, 2480, 19, 204, 2567, 281, 18, 45195, 2347, 6415, 732, 273, 6273, 302, 2263, 348, 19060, 19, 4087, 397, 572, 4699, 20335, 4042, 17, 496, 3210, 1017, 2661, 353, 692, 9127, 2317, 329, 2202, 12387, 353, 4489, 19, 204, 990, 2310, 874, 1182, 7048, 3303, 496, 7921, 496, 490, 353, 3651, 6196, 496, 529, 12511, 7515, 2652, 329, 496, 7515, 2652, 353, 16508, 4412, 415, 569, 276, 5366, 19, 1622, 2551, 275, 1259, 302, 36046, 353, 1465, 368, 329, 273, 4315, 4528, 31588, 17, 523, 2480, 17, 1194, 490, 867, 1051, 7584, 2181, 8518, 3582, 0, 11476, 2526, 21429, 3140, 7115, 21401, 35436, 39772, 38152, 725, 2494, 5351, 1227, 2321, 14648, 3464, 1955, 921, 11197, 23013, 1191, 10220, 1822, 12271, 725, 1822, 27830, 725, 1822, 21225, 1001, 2065, 2526, 21429, 5038, 2278, 4106, 5742, 4138, 990, 3283, 1822, 1001, 6290, 44553, 9959, 3654, 568, 1189, 226, 13919, 12271, 5661, 408, 14726, 10073, 8466, 16312, 9903, 408, 5659, 3140, 11153, 38152, 3865, 408, 21204, 8085, 39906, 3140, 1689, 1262, 18753, 13201, 568, 26789, 30794, 408, 14159, 3865, 18753, 13201, 1886, 6693, 942, 5510, 2356, 6642, 460, 45818, 568, 40416, 3571, 226, 3136, 33979, 1111, 36690, 4530, 3491, 568, 204, 6385, 990, 36718, 11932, 13201, 6681, 40416, 30280, 9878, 4265, 6290, 23717, 8202, 725, 12271, 36132, 40367, 24821, 1227, 2673, 254, 2321, 9014, 408, 14464, 1432, 5718, 11153, 29612, 17408, 2654, 21225, 2359, 2934, 38798, 3276, 11191, 11153, 831, 17408, 14486, 21225, 2359, 8532, 11191, 7466, 3944, 4096, 1189, 14159, 408, 2253, 8466, 5385, 921, 14159, 9878, 31660, 6122, 8418, 568, 204, 25986, 408, 40416, 27921, 3608, 4250, 10427, 408, 27921, 12354, 5017, 7474, 12674, 8643, 408, 12791, 1579, 31617, 3941, 1638, 14648, 12791, 35794, 16276, 408, 1367, 3463, 921, 4664, 1191, 11004, 21746, 6960, 568, 204, 40416, 921, 2526, 21429, 19539, 6883, 34149, 2338, 30287, 14557, 3833, 11808, 568, 6385, 18753, 13201, 1227, 1822, 4250, 5057, 35436, 226, 40416, 921, 19448, 6619, 5612, 5949, 6472, 28576, 11148, 3038, 30544, 3140, 31190, 39530, 990, 22740, 17663, 8464, 3865, 40416, 10150, 4664, 9580, 9145, 725, 40416, 7744, 1390, 18858, 23657, 10706, 1955, 408, 3675, 30544, 3140, 1603, 40416, 5629, 41280, 3653, 2235, 568, 204, 40416, 7744, 460, 22486, 2499, 10922, 30544, 4664, 9580, 408, 6429, 3140, 12261, 9184, 408, 31567, 854, 30912, 1002, 20665, 32751, 408, 6429, 5038, 9184, 6290, 27241, 854, 5110, 7292, 460, 408, 6429, 6462, 2499, 1345, 25418, 40416, 4664, 19119, 9184, 408, 1886, 20742, 40696, 16382, 12198, 5002, 990, 47659, 1001, 460, 9580, 4517, 568, 204, 3064, 7115, 1398, 2615, 3131, 10147, 40416, 18207, 29323, 854, 31, 22, 725, 4045, 3632, 1946, 45773, 7624, 34221, 4224, 13596, 725, 1390, 4294, 33226, 9145, 32, 23, 725, 3608, 3035, 30058, 16873, 13489, 10090, 725, 40416, 7744, 3064, 8466, 19987, 4907, 3632, 24944, 4286, 6796, 32, 24, 725, 45773, 7624, 34221, 17361, 568, 204, 921, 40416, 7744, 19084, 1926, 4045, 12665, 408, 3140, 35411, 12522, 2781, 40416, 22486, 2405, 22833, 9580, 47264, 408, 1970, 3035, 1902, 9893, 990, 2386, 4413, 6681, 3064, 11406, 4664, 17367, 460, 37440, 1971, 4068, 2739, 3304, 408, 23179, 6960, 35436, 22204, 12215, 408, 24076, 11153, 30038, 408, 35297, 35473, 408, 9145, 14687, 41619, 5057, 408, 8070, 3140, 16586, 9560, 408, 35090, 6619, 2382, 9580, 11436, 568, 204, 0, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 6130, 19, 1618, 532, 3746, 204, 531, 6130, 19, 3814, 532, 13059, 17, 26437, 17, 3682, 44663, 17, 12628, 17, 16211, 8144, 17, 881, 17, 4429, 17, 18581, 204, 531, 6130, 19, 11901, 532, 752, 17, 1767, 204, 647, 5503, 204, 531, 1498, 532, 1884, 204, 204, 676, 10143, 503, 1655, 6574, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1900, 25787, 348, 2388, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 283, 28641, 68, 481, 68, 546, 1164, 394, 204, 268, 334, 832, 311, 275, 47626, 424, 1445, 19, 204, 264, 1113, 68, 4077, 1164, 421, 204, 268, 334, 1113, 542, 302, 424, 4645, 19, 204, 264, 846, 68, 19457, 68, 1796, 1164, 421, 204, 268, 334, 1646, 1277, 302, 273, 17225, 19, 204, 264, 7494, 68, 835, 1164, 421, 204, 268, 334, 1302, 302, 275, 7494, 19, 204, 264, 1142, 68, 633, 68, 998, 1164, 1135, 204, 268, 332, 955, 4707, 2159, 311, 3265, 19, 204, 264, 1112, 68, 633, 68, 750, 1164, 1135, 204, 268, 332, 955, 4707, 3265, 311, 2159, 19, 204, 264, 6093, 68, 2936, 1164, 1135, 204, 268, 332, 955, 302, 6093, 2388, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 283, 28641, 68, 481, 68, 546, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 10143, 503, 1655, 6574, 850, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 283, 28641, 68, 481, 68, 546, 322, 325, 330, 334, 832, 311, 275, 47626, 424, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 75, 28641, 68, 481, 68, 546, 289, 283, 28641, 68, 481, 68, 546, 204, 268, 370, 19, 2609, 68, 4077, 289, 443, 204, 268, 370, 19, 1129, 68, 19457, 68, 1796, 289, 443, 204, 268, 370, 19, 16421, 68, 835, 289, 443, 204, 268, 370, 19, 750, 68, 633, 68, 998, 289, 443, 204, 268, 370, 19, 998, 68, 633, 68, 750, 289, 443, 204, 268, 370, 19, 9904, 68, 2936, 289, 370, 19, 986, 68, 9904, 68, 2936, 374, 204, 204, 264, 436, 1137, 68, 9904, 68, 2936, 13, 327, 14, 393, 1135, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 320, 204, 268, 5984, 275, 6093, 2388, 497, 275, 47626, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 1135, 31, 332, 955, 302, 6093, 2388, 19, 204, 268, 320, 204, 268, 314, 1385, 6093, 2388, 497, 510, 204, 268, 407, 5503, 19, 986, 13, 3664, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 388, 43, 28641, 29, 80, 68, 492, 20, 9904, 68, 2936, 19, 85, 528, 388, 6952, 3687, 204, 204, 264, 436, 5345, 68, 5592, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 2558, 348, 275, 17225, 570, 4651, 19, 204, 268, 320, 204, 268, 314, 1385, 25787, 497, 510, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 379, 43, 28641, 29, 80, 68, 492, 20, 75, 28641, 68, 29, 80, 68, 1219, 68, 2182, 19, 3039, 491, 9336, 20265, 89, 534, 204, 822, 268, 314, 763, 275, 1113, 542, 302, 4645, 204, 268, 771, 68, 4077, 289, 2349, 19, 1827, 64, 21, 66, 204, 822, 268, 314, 977, 3330, 311, 1640, 25787, 329, 2388, 204, 268, 25787, 68, 655, 289, 1306, 204, 268, 2388, 68, 655, 289, 1306, 204, 822, 268, 314, 1861, 1048, 275, 3015, 292, 275, 5986, 204, 268, 348, 1112, 17, 1237, 292, 2349, 19, 22091, 1293, 204, 305, 25787, 68, 655, 19, 1223, 13, 937, 64, 22, 694, 204, 305, 2388, 68, 655, 19, 1223, 13, 937, 64, 21, 694, 204, 822, 268, 314, 888, 275, 1113, 542, 302, 424, 4645, 204, 268, 370, 19, 2609, 68, 4077, 289, 1066, 13, 1796, 13, 19457, 19, 1590, 1447, 338, 368, 348, 17225, 292, 25787, 68, 655, 14, 204, 268, 456, 13, 75, 7, 6425, 542, 302, 424, 4645, 31, 463, 327, 19, 2609, 68, 4077, 743, 204, 822, 268, 314, 666, 273, 458, 302, 2159, 204, 268, 2159, 289, 551, 3039, 19, 1590, 374, 348, 24238, 292, 25787, 68, 655, 66, 204, 268, 2220, 68, 2489, 289, 758, 13, 750, 348, 14174, 292, 2159, 348, 1142, 292, 14174, 14, 204, 822, 268, 314, 666, 5239, 311, 2304, 2159, 311, 3265, 329, 18977, 23983, 204, 268, 370, 19, 16421, 68, 835, 289, 1245, 13, 5271, 68, 2489, 14, 204, 268, 370, 19, 750, 68, 633, 68, 998, 289, 463, 750, 31, 296, 348, 296, 17, 1142, 292, 3209, 13, 5271, 68, 2489, 4150, 204, 268, 370, 19, 998, 68, 633, 68, 750, 289, 463, 78, 31, 1142, 348, 296, 17, 1142, 292, 3209, 13, 5271, 68, 2489, 4150, 204, 822, 268, 314, 888, 275, 1646, 17225, 1277, 204, 268, 370, 19, 1129, 68, 19457, 68, 1796, 289, 846, 13, 1796, 13, 19457, 19, 1590, 1447, 348, 17225, 292, 25787, 68, 655, 14, 204, 268, 456, 13, 75, 7, 38617, 1302, 31, 463, 327, 19, 16421, 68, 835, 743, 204, 268, 456, 13, 75, 7, 14020, 17225, 1277, 31, 463, 327, 19, 1129, 68, 19457, 68, 1796, 743, 204, 268, 456, 499, 34264, 7934, 7868, 5397, 204, 204, 264, 436, 424, 68, 5404, 13, 327, 17, 2068, 68, 835, 31, 421, 289, 4236, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 744, 204, 268, 320, 204, 268, 6071, 424, 348, 275, 17225, 570, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 424, 4651, 19, 204, 204, 268, 9112, 31, 204, 268, 22988, 204, 268, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 744, 332, 927, 1174, 275, 752, 537, 17, 7380, 25787, 17, 329, 1682, 2159, 19, 204, 268, 320, 204, 268, 314, 1385, 25787, 329, 2388, 497, 510, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 379, 43, 28641, 29, 80, 68, 492, 20, 75, 28641, 68, 29, 80, 68, 1219, 68, 2182, 19, 3039, 491, 9336, 20265, 89, 534, 204, 268, 25787, 68, 655, 289, 2349, 64, 22, 1664, 11380, 374, 204, 268, 2388, 68, 655, 289, 2349, 64, 21, 1664, 11380, 374, 204, 822, 268, 314, 977, 3330, 311, 1640, 7380, 25787, 17, 1682, 2159, 17, 329, 2388, 204, 268, 7380, 68, 17323, 289, 1306, 204, 268, 1682, 68, 2489, 289, 1306, 204, 268, 2388, 289, 1306, 204, 822, 268, 314, 977, 273, 4328, 348, 275, 1113, 542, 302, 4645, 204, 268, 1113, 68, 765, 289, 500, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 1861, 1048, 275, 25787, 329, 2388, 204, 305, 348, 752, 68, 5951, 17, 322, 492, 17, 3840, 14, 292, 3209, 13, 5714, 13, 32627, 68, 655, 17, 2388, 68, 655, 4019, 204, 485, 314, 763, 275, 6093, 752, 204, 485, 790, 68, 935, 289, 370, 19, 9904, 68, 2936, 64, 3371, 19, 4170, 6485, 204, 7933, 485, 314, 1861, 1048, 275, 2159, 292, 275, 17225, 204, 485, 348, 296, 292, 933, 13, 1796, 13, 492, 19, 1590, 1447, 338, 368, 330, 204, 895, 314, 7415, 275, 1113, 1040, 204, 895, 1113, 68, 765, 1412, 368, 204, 20943, 895, 314, 666, 273, 7380, 17225, 204, 895, 7380, 289, 551, 327, 19, 750, 68, 633, 68, 998, 64, 3039, 66, 348, 24238, 292, 1068, 19, 1590, 40172, 78, 465, 368, 2629, 204, 895, 7380, 68, 17323, 19, 1223, 13, 7120, 14, 204, 20943, 895, 314, 666, 273, 1051, 18, 5617, 6093, 1682, 1142, 204, 895, 1682, 68, 750, 289, 645, 19, 4324, 13, 327, 19, 16421, 68, 835, 14, 204, 895, 1682, 68, 750, 64, 327, 19, 750, 68, 633, 68, 998, 64, 492, 19, 1590, 8083, 78, 465, 368, 21192, 289, 368, 204, 895, 1682, 68, 2489, 19, 1223, 13, 2715, 68, 750, 14, 204, 20943, 895, 314, 1255, 275, 752, 311, 275, 458, 302, 2388, 204, 895, 2388, 19, 1223, 13, 1976, 68, 935, 14, 204, 20943, 895, 314, 828, 275, 1113, 1040, 353, 3114, 1194, 521, 1936, 311, 275, 2068, 1302, 17, 4353, 275, 424, 204, 895, 397, 1113, 68, 765, 3721, 2068, 68, 835, 31, 204, 2058, 314, 2208, 275, 3330, 311, 2010, 6946, 204, 2058, 1682, 68, 2489, 289, 645, 19, 16936, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 2715, 68, 2489, 14, 204, 2058, 2388, 289, 645, 19, 16936, 13, 2936, 14, 204, 2058, 7380, 68, 17323, 289, 1767, 19, 7220, 68, 7671, 13, 7120, 68, 17323, 17, 33474, 34, 327, 19, 1129, 68, 19457, 68, 1796, 17, 5204, 833, 2288, 534, 204, 1095, 822, 2058, 314, 8715, 275, 1113, 1040, 329, 4353, 275, 424, 204, 2058, 1113, 68, 765, 289, 500, 204, 2058, 4353, 5787, 2936, 17, 7380, 68, 17323, 648, 1682, 68, 2489, 66, 204, 1095, 822, 2058, 314, 8715, 275, 3330, 204, 2058, 7380, 68, 17323, 289, 1306, 204, 2058, 1682, 68, 2489, 289, 1306, 204, 2058, 2388, 289, 1306, 204, 204, 264, 436, 1137, 68, 935, 13, 327, 17, 832, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 5984, 437, 752, 497, 275, 1713, 832, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 448, 273, 2010, 1348, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 752, 204, 268, 3840, 289, 752, 19, 986, 68, 3371, 13, 546, 17, 1029, 68, 835, 3644, 16613, 17, 14692, 602, 204, 268, 610, 289, 752, 19, 3371, 68, 633, 68, 643, 13, 3371, 14, 204, 268, 407, 645, 19, 16936, 13, 93, 14, 204, 204, 264, 436, 838, 68, 7912, 68, 809, 13, 327, 17, 407, 68, 809, 31, 1109, 289, 1078, 14, 393, 3746, 31, 204, 268, 320, 204, 268, 2605, 275, 2423, 6497, 3100, 570, 348, 275, 17225, 4651, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 407, 68, 809, 322, 2107, 330, 2266, 311, 407, 275, 570, 521, 508, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 3746, 31, 334, 1966, 570, 19, 204, 268, 320, 204, 268, 314, 666, 275, 537, 4131, 204, 268, 752, 68, 768, 289, 4429, 13, 1827, 3644, 33253, 11451, 204, 268, 17225, 68, 768, 289, 4429, 13, 1827, 3644, 327, 19, 1129, 68, 19457, 68, 1796, 11451, 204, 822, 268, 314, 666, 275, 752, 4131, 204, 268, 752, 68, 2594, 68, 22, 289, 18581, 13, 21, 19, 26, 3085, 935, 68, 768, 14, 204, 268, 752, 68, 2594, 68, 23, 289, 12628, 13, 7489, 17, 4142, 833, 5723, 13921, 935, 68, 2594, 68, 22, 14, 204, 268, 752, 68, 2594, 68, 24, 289, 16211, 8144, 13, 327, 19, 1129, 68, 19457, 68, 1796, 3085, 935, 68, 2594, 68, 23, 14, 204, 822, 268, 314, 666, 275, 17225, 4131, 204, 268, 17225, 68, 2594, 68, 22, 289, 26437, 13, 327, 19, 16421, 68, 835, 17, 7328, 17, 3208, 68, 5306, 34, 1021, 3085, 19457, 68, 768, 14, 204, 268, 17225, 68, 2594, 68, 23, 289, 18581, 13, 21, 19, 26, 3085, 19457, 68, 2594, 68, 22, 14, 204, 268, 17225, 68, 2594, 68, 24, 289, 13059, 13, 6372, 17, 407, 68, 7671, 34, 1021, 3085, 19457, 68, 2594, 68, 23, 14, 204, 268, 17225, 68, 2594, 68, 25, 289, 3682, 44663, 13, 9415, 13, 7489, 22933, 19457, 68, 2594, 68, 24, 14, 204, 822, 268, 314, 9761, 275, 752, 329, 17225, 4131, 204, 268, 6879, 68, 2594, 68, 22, 289, 881, 1568, 935, 68, 2594, 68, 24, 17, 17225, 68, 2594, 68, 25, 694, 204, 268, 6879, 68, 2594, 68, 23, 289, 13059, 13, 5758, 17, 407, 68, 7671, 34, 1975, 3085, 9709, 68, 2594, 68, 22, 14, 204, 268, 919, 68, 2594, 289, 12628, 13, 327, 19, 16421, 68, 835, 17, 4142, 833, 11397, 13921, 9709, 68, 2594, 68, 23, 14, 204, 822, 268, 314, 666, 275, 570, 204, 268, 570, 289, 3746, 13, 4599, 3603, 935, 68, 768, 17, 17225, 68, 768, 648, 6360, 34, 1420, 68, 2594, 14, 204, 268, 456, 499, 1655, 1966, 5397, 204, 822, 268, 397, 407, 68, 809, 31, 204, 305, 407, 570, 204, 822, 268, 314, 11886, 275, 570, 204, 268, 570, 19, 7354, 13, 2650, 833, 11697, 68, 18760, 491, 4209, 833, 23528, 13286, 491, 5047, 4980, 5893, 2378, 204, 822, 268, 407, 570, 204, 204, 264, 436, 636, 68, 750, 13, 327, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 1142, 3310, 311, 275, 1713, 1112, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 1112, 322, 339, 330, 334, 1112, 302, 275, 1142, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 394, 31, 334, 1142, 3310, 311, 275, 1112, 19, 204, 268, 320, 204, 268, 407, 370, 19, 998, 68, 633, 68, 750, 64, 998, 66, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 10143, 503, 1655, 6574, 850, 204, 264, 4651, 289, 10143, 503, 1655, 6574, 499, 546, 68, 633, 68, 75, 28641, 68, 481, 431, 204, 615, 264, 314, 977, 275, 2558, 204, 264, 4651, 19, 9462, 68, 5592, 374, 204, 615, 264, 314, 666, 275, 570, 204, 264, 570, 289, 4651, 19, 1510, 68, 7912, 68, 809, 374, 204, 615, 264, 314, 1198, 275, 570, 5549, 204, 264, 456, 13, 809, 19, 7111, 1447, 204, 0, 1834, 353, 2077, 2171, 9071, 302, 974, 273, 14290, 8305, 19, 1785, 6860, 490, 388, 62, 4200, 77, 470, 2948, 204, 38, 9071, 2668, 869, 435, 3758, 448, 1132, 93, 29, 329, 720, 93, 26, 19, 204, 3661, 677, 10582, 717, 4699, 311, 4030, 2104, 204, 2920, 311, 8406, 31, 204, 13, 22, 14, 15631, 1051, 302, 275, 14290, 8305, 800, 292, 1392, 4207, 204, 13, 23, 14, 828, 1422, 353, 1236, 904, 5568, 302, 8305, 17, 1236, 6285, 5087, 311, 1729, 5568, 302, 8305, 848, 904, 204, 13, 24, 14, 4168, 1132, 93, 29, 36346, 9071, 9492, 830, 4207, 17, 848, 6285, 542, 529, 448, 1696, 31, 204, 45469, 13, 29, 659, 361, 3067, 13, 29, 659, 32812, 13, 1003, 659, 8503, 13, 1003, 659, 36107, 535, 13, 2300, 659, 415, 25873, 13, 2300, 14, 204, 13, 22, 14, 415, 25873, 618, 508, 444, 42046, 7686, 204, 13, 23, 14, 8503, 618, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 508, 444, 12956, 12717, 1312, 271, 3483, 10524, 42046, 7686, 204, 13, 24, 14, 32812, 618, 508, 9437, 523, 848, 8166, 1007, 204, 13, 25, 14, 361, 3067, 618, 508, 9437, 523, 848, 1237, 329, 1837, 204, 13, 26, 14, 18878, 618, 508, 9437, 523, 848, 1237, 17, 1837, 329, 8166, 1007, 204, 13, 27, 14, 36107, 535, 353, 13772, 560, 388, 51, 528, 2404, 388, 48, 7, 353, 1376, 348, 8503, 19, 204, 837, 808, 1650, 17, 572, 17260, 273, 717, 537, 1216, 388, 4167, 420, 5028, 7, 348, 273, 14079, 3783, 19, 4168, 872, 529, 4636, 440, 273, 14079, 3783, 440, 1051, 1922, 17, 872, 618, 2064, 275, 2073, 329, 25855, 9035, 292, 2842, 22955, 302, 1051, 1922, 19, 204, 3719, 872, 529, 12912, 292, 388, 4167, 420, 5028, 528, 9626, 3020, 808, 4092, 19, 204, 7, 62, 4200, 77, 470, 7, 353, 275, 667, 284, 29893, 280, 302, 388, 58, 293, 80, 842, 78, 6761, 2948, 204, 27120, 73, 523, 11157, 7207, 274, 10072, 19, 0, 315, 204, 8967, 1274, 6408, 204, 204, 1834, 2413, 8913, 275, 1274, 18620, 348, 275, 2002, 19, 1547, 10105, 5448, 311, 5020, 17, 226, 204, 6790, 299, 275, 1650, 311, 2906, 3426, 2164, 329, 407, 3426, 9347, 19, 204, 204, 3070, 1182, 1483, 17, 9626, 3020, 31, 204, 264, 10447, 1963, 11224, 19, 23564, 19, 1453, 20, 278, 20, 24, 19, 23, 20, 13094, 20, 1942, 20, 3968, 20, 204, 315, 204, 204, 531, 1907, 19, 4823, 532, 3051, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 531, 740, 532, 5020, 204, 204, 8, 968, 1274, 3758, 348, 275, 3051, 4510, 204, 4159, 68, 3968, 289, 551, 204, 264, 314, 9657, 1274, 204, 264, 832, 611, 4159, 4750, 3051, 19, 3350, 19, 3968, 659, 204, 66, 204, 204, 8, 968, 1274, 3758, 348, 1545, 6294, 204, 1723, 68, 3968, 289, 551, 204, 264, 314, 7308, 458, 1274, 204, 264, 832, 14945, 5020, 19, 1723, 68, 655, 17, 588, 833, 1723, 68, 655, 2008, 204, 264, 314, 7308, 3695, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 4810, 17, 588, 1022, 1723, 68, 4810, 3186, 204, 264, 314, 7308, 881, 1274, 204, 264, 832, 611, 826, 4750, 5020, 19, 1723, 68, 826, 17, 588, 1022, 1723, 68, 826, 3186, 204, 264, 314, 7308, 6448, 1274, 204, 264, 832, 611, 7451, 8121, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 7451, 17, 588, 1022, 1723, 68, 7451, 3186, 204, 264, 314, 7308, 4032, 1274, 204, 264, 832, 611, 2756, 8121, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 2756, 17, 588, 1022, 1723, 68, 2756, 3186, 204, 66, 204, 204, 8, 968, 1274, 3758, 348, 1552, 6294, 204, 1115, 68, 3968, 289, 551, 204, 264, 314, 5868, 458, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 19130, 4783, 4750, 5020, 19, 1115, 68, 655, 17, 588, 1022, 1115, 68, 655, 3186, 204, 264, 314, 5868, 881, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 19130, 4783, 20, 826, 4750, 5020, 19, 1115, 68, 826, 17, 588, 1022, 1115, 68, 826, 3186, 204, 66, 204, 204, 8, 968, 275, 667, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 16219, 3051, 5448, 204, 264, 832, 611, 4159, 4750, 2255, 13, 4159, 68, 3968, 3917, 204, 264, 314, 16219, 1545, 5448, 204, 264, 832, 611, 13953, 4750, 2255, 13, 1723, 68, 3968, 3917, 204, 264, 314, 16219, 1552, 5448, 204, 264, 832, 611, 13953, 4750, 2255, 13, 1115, 68, 3968, 3917, 204, 66, 204, 0, 647, 2010, 448, 645, 204, 647, 1127, 204, 204, 461, 1151, 68, 481, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 4143, 273, 424, 510, 329, 2584, 275, 4578, 448, 273, 2010, 1348, 19, 204, 204, 264, 4435, 31, 204, 264, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 424, 510, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 1594, 497, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 510, 329, 1967, 275, 1945, 2630, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 314, 10248, 275, 3494, 1237, 204, 305, 1682, 13, 553, 14, 204, 305, 424, 289, 1306, 204, 305, 348, 1007, 292, 510, 31, 204, 485, 1019, 289, 1007, 19, 1590, 374, 204, 485, 314, 1986, 2630, 435, 17, 681, 17, 887, 17, 329, 1233, 322, 22, 18, 14585, 14, 204, 485, 424, 19, 1223, 1568, 996, 13, 1309, 64, 22, 5060, 818, 13, 1309, 64, 24, 5060, 818, 13, 1309, 64, 26, 5060, 818, 13, 1309, 64, 29, 37860, 204, 305, 407, 645, 19, 643, 13, 481, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1020, 68, 4027, 68, 12761, 13, 481, 31, 645, 19, 766, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 3221, 2311, 292, 275, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 424, 322, 1123, 19, 766, 330, 1594, 311, 1813, 348, 275, 3221, 2311, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 6104, 302, 275, 3221, 2311, 19, 204, 264, 320, 204, 264, 314, 10164, 275, 424, 1025, 10054, 302, 2031, 3015, 204, 264, 771, 68, 14399, 289, 421, 13, 1123, 19, 16304, 13, 1796, 13, 481, 14, 802, 2031, 602, 204, 264, 348, 4724, 292, 933, 13, 920, 68, 14399, 330, 204, 268, 1012, 68, 998, 289, 4724, 540, 2031, 204, 268, 1136, 68, 998, 289, 1006, 1802, 8545, 465, 368, 14, 540, 2031, 17, 1245, 13, 481, 602, 204, 268, 860, 68, 481, 289, 424, 64, 1530, 68, 998, 31, 409, 68, 998, 66, 204, 268, 860, 68, 1208, 289, 860, 68, 481, 3460, 571, 66, 204, 268, 1112, 68, 4027, 289, 645, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21522, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 6752, 204, 264, 771, 68, 10197, 289, 421, 13, 768, 1447, 204, 615, 264, 314, 3325, 848, 1484, 204, 264, 348, 906, 292, 933, 13, 920, 68, 10197, 330, 204, 268, 314, 1606, 275, 537, 348, 275, 790, 1484, 204, 268, 886, 17, 8577, 68, 835, 289, 1151, 68, 768, 374, 204, 822, 268, 314, 1752, 275, 1646, 1842, 292, 21522, 204, 268, 846, 68, 3337, 289, 1020, 68, 1129, 68, 266, 68, 40269, 13, 1630, 17, 8577, 68, 835, 14, 204, 822, 268, 314, 1198, 275, 722, 204, 268, 456, 4934, 1129, 68, 3337, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1361, 204, 647, 1127, 204, 647, 12725, 23, 204, 531, 12725, 23, 19, 6240, 532, 1628, 10208, 4690, 204, 531, 1498, 532, 1535, 17, 1884, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 204, 264, 2049, 833, 2511, 19, 761, 491, 204, 264, 1870, 34, 3247, 19, 9281, 17, 204, 264, 1883, 10730, 8592, 14, 88, 338, 4993, 417, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 491, 204, 264, 38109, 28297, 73, 5079, 71, 5079, 94, 1564, 45, 6212, 50, 6212, 56, 12, 204, 14, 204, 204, 676, 25891, 31, 204, 264, 320, 3317, 311, 2906, 1104, 7369, 329, 6752, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1863, 68, 417, 31, 394, 17, 1863, 68, 816, 31, 394, 17, 1863, 68, 1989, 31, 394, 17, 1863, 68, 2463, 31, 394, 17, 1863, 68, 898, 31, 394, 330, 204, 268, 320, 204, 268, 977, 275, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 268, 338, 1863, 68, 816, 322, 325, 330, 334, 2143, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 1989, 322, 325, 330, 334, 1482, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 2463, 322, 325, 330, 334, 2442, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 898, 322, 325, 330, 334, 2054, 348, 275, 1104, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 68, 417, 289, 1863, 68, 417, 204, 268, 370, 19, 1479, 68, 816, 289, 1863, 68, 816, 204, 268, 370, 19, 1479, 68, 1989, 289, 1863, 68, 1989, 204, 268, 370, 19, 1479, 68, 2463, 289, 1863, 68, 2463, 204, 268, 370, 19, 1479, 68, 898, 289, 1863, 68, 898, 204, 204, 264, 436, 2601, 13, 327, 14, 393, 12725, 23, 19, 2602, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 1104, 19, 204, 204, 268, 475, 31, 204, 268, 338, 12725, 23, 19, 2602, 31, 334, 7634, 1104, 1727, 19, 204, 268, 320, 204, 268, 407, 12725, 23, 19, 2933, 13, 204, 305, 1104, 34, 327, 19, 1479, 68, 417, 17, 204, 305, 575, 34, 327, 19, 1479, 68, 816, 17, 204, 305, 1482, 34, 327, 19, 1479, 68, 1989, 17, 204, 305, 2442, 34, 327, 19, 1479, 68, 2463, 17, 204, 305, 2054, 34, 327, 19, 1479, 68, 898, 204, 268, 1179, 204, 204, 264, 436, 4490, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 3737, 31, 1535, 64, 2983, 66, 289, 443, 14, 393, 1535, 64, 655, 744, 204, 268, 320, 204, 268, 5635, 273, 4053, 1484, 440, 1448, 2072, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 268, 338, 3737, 322, 4437, 64, 2983, 1037, 334, 2072, 348, 275, 1484, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 655, 744, 334, 722, 302, 275, 1484, 17, 521, 443, 397, 437, 908, 3129, 19, 204, 268, 320, 204, 268, 1727, 289, 370, 19, 2933, 374, 204, 268, 3370, 289, 1727, 19, 4322, 374, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 1484, 440, 2072, 397, 1917, 204, 305, 397, 3737, 31, 204, 485, 3370, 19, 4118, 13, 2120, 17, 3737, 14, 204, 305, 902, 31, 204, 485, 3370, 19, 4118, 13, 2120, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 1727, 19, 4827, 374, 204, 305, 314, 6579, 830, 275, 1563, 204, 305, 407, 3370, 19, 13208, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 1169, 2744, 496, 1336, 204, 305, 1361, 19, 718, 13, 75, 7, 596, 14026, 1484, 31, 463, 74, 743, 204, 305, 407, 443, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 3370, 19, 3529, 374, 204, 305, 1727, 19, 3529, 374, 204, 204, 676, 13143, 7073, 31, 204, 264, 320, 3317, 311, 2906, 1363, 1104, 2758, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1863, 68, 2602, 31, 25891, 330, 204, 268, 320, 204, 268, 977, 275, 1363, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1863, 68, 2602, 322, 7073, 5064, 330, 334, 1104, 1727, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 68, 2602, 289, 1863, 68, 2602, 204, 204, 264, 436, 22545, 68, 816, 13, 327, 17, 7178, 68, 359, 31, 421, 17, 588, 31, 394, 17, 18297, 31, 394, 17, 2143, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 29183, 273, 575, 311, 275, 1363, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7178, 68, 359, 322, 339, 330, 334, 7178, 1222, 302, 275, 575, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 575, 19, 204, 268, 338, 18297, 322, 325, 330, 334, 18297, 302, 275, 575, 19, 204, 268, 338, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 20832, 12377, 3612, 322, 8076, 68, 359, 17, 588, 17, 18297, 17, 2143, 17, 1714, 17, 22545, 17, 5218, 68, 655, 14, 204, 305, 12804, 18958, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 379, 816, 491, 34495, 17, 44116, 14, 204, 268, 320, 204, 268, 3737, 289, 322, 8076, 68, 359, 17, 588, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18297, 17, 2143, 14, 204, 268, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 204, 264, 436, 794, 19847, 68, 816, 13, 327, 17, 7178, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 28537, 539, 1071, 2115, 273, 575, 497, 275, 1363, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7178, 68, 359, 322, 339, 330, 334, 7178, 1222, 302, 275, 575, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 31412, 3612, 204, 305, 17899, 22545, 289, 44116, 204, 305, 8888, 7178, 68, 359, 289, 1564, 88, 204, 268, 320, 204, 268, 3737, 289, 322, 8076, 68, 359, 16391, 204, 268, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 204, 264, 436, 353, 68, 805, 68, 8683, 22847, 13, 327, 17, 1779, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 1274, 353, 43888, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1779, 322, 325, 330, 334, 1274, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 1274, 353, 43888, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 15754, 5218, 68, 655, 204, 305, 7281, 14360, 204, 305, 8888, 1779, 289, 1564, 88, 204, 268, 320, 204, 268, 3737, 289, 322, 805, 16391, 204, 268, 722, 289, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 268, 397, 722, 31, 204, 305, 407, 722, 64, 21, 1799, 21, 66, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 2017, 68, 805, 13, 327, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 763, 273, 1400, 1274, 497, 275, 1104, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 325, 744, 334, 1400, 1274, 17, 521, 443, 397, 1236, 5448, 529, 2755, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 15754, 1779, 204, 305, 7281, 14360, 204, 305, 8888, 5218, 68, 655, 289, 44116, 204, 305, 24584, 16960, 361, 2313, 19839, 374, 204, 305, 32872, 368, 204, 268, 320, 204, 268, 722, 289, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 14, 204, 268, 397, 722, 31, 204, 305, 407, 722, 64, 21, 1799, 21, 66, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 1104, 1727, 2072, 497, 1964, 2558, 204, 264, 1863, 68, 417, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 3349, 534, 204, 264, 1863, 68, 816, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 6520, 534, 204, 264, 1863, 68, 1989, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 9778, 534, 204, 264, 1863, 68, 2463, 289, 379, 1479, 12, 204, 264, 1863, 68, 898, 289, 379, 42947, 12, 204, 204, 264, 314, 666, 273, 1104, 1727, 204, 264, 1863, 68, 2602, 289, 25891, 13, 1479, 68, 417, 17, 1863, 68, 816, 17, 1863, 68, 1989, 17, 1863, 68, 2463, 17, 1863, 68, 898, 14, 204, 204, 264, 314, 666, 273, 1363, 1104, 204, 264, 1363, 68, 2819, 289, 13143, 7073, 13, 1479, 68, 2602, 14, 204, 204, 264, 314, 1165, 1265, 31, 204, 264, 1363, 68, 2819, 19, 19847, 68, 816, 13, 16298, 17, 379, 6192, 491, 379, 21869, 491, 379, 41144, 534, 204, 264, 1363, 68, 2819, 19, 350, 19847, 68, 816, 13, 16298, 14, 204, 264, 456, 13, 2511, 68, 2819, 19, 360, 68, 805, 68, 8683, 22847, 611, 3189, 1963, 2569, 19, 1453, 3063, 204, 264, 456, 13, 2511, 68, 2819, 19, 505, 68, 2017, 68, 805, 1447, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 18208, 2321, 8297, 27658, 21195, 6076, 46391, 6791, 5732, 113, 5732, 113, 27658, 568, 1638, 3276, 28436, 26840, 27848, 16412, 8181, 9850, 408, 4296, 27658, 6472, 20371, 4565, 725, 1377, 4684, 1251, 725, 26942, 1822, 725, 5173, 2114, 10893, 725, 1670, 11413, 4562, 30894, 12453, 568, 1929, 2499, 27848, 3784, 10144, 21131, 1984, 204, 831, 725, 9942, 34403, 10250, 568, 9942, 34403, 2321, 1999, 43917, 1811, 1251, 408, 42344, 2321, 1999, 22, 99, 23, 26257, 408, 2321, 5110, 22, 99, 1909, 6377, 408, 6472, 38137, 5612, 1899, 2321, 4769, 1227, 4129, 11032, 4769, 3058, 34403, 7386, 8481, 942, 22356, 2148, 408, 3079, 19658, 16921, 408, 2823, 5801, 2174, 4121, 24809, 13261, 568, 4224, 5677, 2426, 7965, 4709, 34403, 2677, 5759, 2337, 2653, 38626, 10893, 2654, 725, 10893, 11870, 408, 30845, 34403, 2386, 8056, 942, 24736, 8331, 1227, 5124, 3854, 2006, 408, 4126, 26257, 2321, 1999, 1262, 1401, 6633, 16761, 9333, 99, 2825, 36966, 568, 8297, 27658, 7702, 18791, 15625, 4402, 408, 7608, 1638, 36795, 10484, 30452, 24809, 408, 5659, 2321, 2006, 35356, 2321, 1401, 20071, 408, 5727, 9153, 2321, 1999, 22, 20, 24, 408, 1432, 24615, 2321, 11870, 408, 2278, 9239, 8766, 10794, 48201, 725, 6208, 123, 11870, 1955, 408, 5718, 921, 34403, 7386, 2370, 15093, 942, 17827, 8767, 725, 6633, 8767, 2338, 22313, 25945, 1955, 13231, 43139, 44463, 3608, 2336, 1167, 250, 4299, 41050, 7925, 568, 204, 3977, 725, 27658, 15337, 4224, 5677, 568, 6633, 16761, 2321, 8446, 28, 99, 1003, 2773, 31431, 13154, 1946, 17486, 4224, 15337, 408, 1603, 2321, 4837, 5659, 7474, 1822, 408, 42344, 460, 20371, 2321, 4837, 1036, 17145, 99, 2188, 45022, 777, 1909, 17145, 1398, 31007, 11122, 5173, 568, 2321, 2006, 2370, 11017, 1822, 17571, 11032, 408, 42905, 11032, 42204, 1719, 18492, 7228, 8778, 568, 2321, 2006, 26073, 2148, 42204, 2188, 99, 2169, 43176, 568, 9049, 5057, 28, 19, 21, 99, 29, 19, 26, 568, 4224, 5677, 22, 19, 26, 99, 24, 19, 26, 33902, 39026, 27658, 15337, 408, 4224, 5677, 26326, 1189, 26993, 99, 28, 1207, 19278, 20, 26257, 568, 4224, 15337, 1398, 2499, 14136, 27658, 15337, 17515, 16013, 33197, 34403, 2386, 2188, 11259, 40638, 19992, 408, 2678, 27658, 15337, 16873, 19293, 34403, 2386, 2321, 4837, 408, 28346, 6960, 27658, 15337, 1579, 3227, 4562, 568, 4224, 5677, 22, 14881, 13620, 408, 1432, 5100, 1398, 4224, 5677, 1719, 99, 9952, 7228, 20, 19278, 48192, 4747, 8690, 101, 2682, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 99, 2051, 19278, 20, 26257, 568, 18208, 2321, 8297, 27658, 854, 7386, 1167, 250, 12298, 18629, 22118, 408, 21855, 10947, 5677, 1191, 1390, 5784, 11530, 5173, 2114, 12019, 4044, 408, 9555, 1432, 16841, 8297, 27658, 460, 20371, 5932, 408, 9027, 1432, 1531, 34403, 2386, 9510, 11032, 460, 38019, 12019, 4044, 568, 3038, 10705, 10947, 5677, 11413, 5173, 18262, 7960, 5173, 2114, 12019, 4044, 408, 30845, 6290, 8297, 27658, 20371, 568, 204, 3283, 725, 4139, 4293, 119, 28385, 5677, 568, 27658, 15337, 4224, 34403, 2188, 11259, 1946, 6776, 4139, 41335, 38042, 408, 33212, 1254, 4139, 41335, 25450, 10720, 8490, 15547, 4348, 21945, 17922, 408, 4762, 8461, 4076, 12577, 2382, 10893, 12019, 1227, 17071, 11413, 1955, 408, 4139, 41335, 2359, 1189, 27658, 45627, 27, 99, 29, 11191, 1789, 7335, 10776, 29946, 4139, 41335, 568, 6766, 11122, 5173, 5596, 2114, 7980, 241, 10776, 9153, 2544, 43432, 23, 20, 24, 13620, 408, 16806, 777, 2065, 34403, 6760, 45031, 35136, 10464, 568, 1191, 2849, 2321, 4837, 1822, 725, 11122, 5173, 27204, 14136, 408, 4139, 41335, 2359, 1003, 12899, 30068, 4139, 41335, 27658, 4293, 119, 3407, 408, 26489, 4139, 41335, 3172, 10893, 12019, 725, 15547, 2973, 249, 725, 16645, 10396, 122, 725, 7509, 10086, 1955, 17640, 38042, 3359, 1511, 10, 2544, 41335, 2359, 5742, 2321, 4837, 11679, 408, 25942, 17955, 568, 204, 5335, 725, 16392, 4068, 568, 46166, 20171, 31431, 4068, 408, 9632, 17571, 11032, 34139, 408, 31431, 4709, 1951, 568, 45803, 20281, 31076, 16354, 27658, 17171, 4684, 408, 4129, 2110, 4129, 11032, 1843, 568, 20985, 101, 31431, 1811, 12525, 1398, 1262, 1401, 6633, 16761, 4345, 13816, 17171, 4294, 12990, 408, 2014, 9942, 45031, 35136, 568, 20985, 102, 8915, 22696, 34403, 408, 38626, 24736, 8331, 12990, 725, 7509, 11156, 253, 725, 47639, 1955, 568, 204, 31431, 4068, 1984, 204, 8297, 27658, 20371, 4565, 408, 1951, 11042, 39098, 27204, 14136, 408, 13573, 11032, 2359, 1251, 408, 7044, 27658, 9942, 31431, 1345, 11017, 4709, 1951, 408, 40243, 2235, 2321, 1909, 18, 1036, 43176, 5110, 408, 11999, 31431, 28778, 725, 11461, 30463, 408, 2823, 942, 38548, 17571, 11032, 408, 9942, 2321, 26073, 2148, 7780, 921, 4049, 43176, 5110, 8778, 408, 2891, 21558, 1811, 4250, 1398, 408, 1345, 21855, 2235, 5110, 9942, 2321, 408, 1254, 10427, 9942, 2321, 2321, 4837, 568, 7005, 2967, 12165, 8846, 12271, 725, 6806, 7225, 12271, 1227, 15898, 12271, 568, 204, 2891, 35225, 17571, 11032, 4323, 725, 31431, 34634, 2860, 9736, 13332, 16270, 11928, 43920, 4250, 2773, 725, 6128, 18791, 2773, 1955, 16233, 27657, 21558, 1398, 2370, 11153, 4139, 4293, 119, 2359, 2860, 24108, 4139, 4293, 119, 408, 2823, 8915, 19581, 408, 10732, 8342, 8297, 27658, 16135, 23973, 2889, 257, 408, 4294, 4146, 1524, 21186, 6760, 408, 17171, 4684, 2823, 3841, 21186, 1390, 30452, 1398, 408, 14205, 9510, 11032, 13561, 408, 1345, 11562, 4081, 2321, 2860, 2110, 4129, 11032, 1843, 4129, 11032, 568, 204, 921, 8297, 27658, 27848, 460, 16425, 1191, 2780, 8342, 2321, 2006, 1191, 24615, 7191, 17717, 21916, 11870, 1603, 18208, 2321, 2382, 8297, 27658, 27848, 6472, 14269, 14168, 8418, 408, 4525, 2321, 11870, 460, 20371, 15891, 20889, 1550, 7780, 1227, 16841, 27848, 2321, 18897, 37327, 568, 204, 2677, 22, 2653, 31606, 19193, 2337, 1984, 7986, 7371, 7931, 921, 27658, 2587, 4224, 5677, 12665, 3590, 408, 13643, 25415, 22293, 9942, 2321, 408, 2499, 9239, 10794, 8766, 48201, 725, 17730, 5552, 48201, 1955, 4241, 3860, 242, 2321, 11870, 6522, 1579, 2382, 6107, 408, 28229, 5727, 1909, 3912, 18889, 1036, 3912, 408, 11012, 6227, 19193, 1263, 106, 10368, 408, 22897, 1773, 19193, 2739, 9942, 7386, 568, 9942, 7386, 3274, 103, 12980, 39001, 408, 1432, 9487, 31606, 19193, 568, 204, 2677, 23, 2653, 24943, 2739, 2337, 1984, 6208, 115, 725, 16869, 29229, 1955, 17171, 10794, 20071, 408, 33985, 7897, 12980, 4232, 8936, 1946, 9487, 24943, 2739, 9942, 1191, 30628, 5062, 3860, 242, 1367, 20371, 921, 7386, 12980, 1191, 408, 10794, 1367, 22863, 17171, 2321, 1999, 568, 204, 2677, 24, 2653, 8350, 31606, 2337, 1984, 3860, 261, 4747, 725, 31501, 34467, 1955, 28010, 2321, 20071, 2370, 6128, 5062, 8350, 31606, 408, 8350, 31606, 1398, 408, 2370, 3601, 14515, 9230, 10794, 2338, 16856, 6110, 27657, 27538, 1263, 106, 15337, 408, 8350, 31606, 13491, 30675, 9942, 38169, 25415, 33300, 3541, 408, 5659, 1263, 106, 15337, 5062, 2371, 2739, 2321, 921, 1003, 3912, 18889, 1036, 3912, 9863, 408, 12319, 30997, 2642, 7813, 39918, 408, 4126, 26257, 11017, 2188, 3217, 1719, 4003, 119, 17486, 568, 204, 2677, 25, 2653, 29278, 2337, 1984, 6429, 17171, 2801, 241, 1955, 17171, 10794, 20071, 408, 36846, 4485, 23398, 47285, 4472, 408, 26489, 921, 9942, 1191, 1262, 22313, 1832, 129, 725, 11870, 34738, 1955, 11613, 831, 7217, 6796, 408, 3590, 29278, 568, 204, 2677, 26, 2653, 8718, 2587, 2337, 1984, 13375, 11870, 460, 24615, 12431, 7452, 8718, 2587, 2337, 408, 6429, 942, 4076, 2359, 3274, 103, 12980, 460, 9942, 34403, 20195, 12924, 568, 8718, 2587, 1398, 2321, 2894, 7780, 921, 1909, 3912, 408, 4239, 2499, 13375, 11870, 3010, 127, 29442, 23078, 13397, 24521, 408, 4762, 2499, 13397, 7897, 460, 2912, 2094, 1985, 237, 18997, 408, 5227, 2912, 2094, 3362, 6110, 20665, 36996, 5545, 247, 14322, 568, 11012, 15122, 5727, 1003, 14557, 1638, 36996, 12577, 6110, 12147, 23266, 6888, 408, 2065, 36996, 23181, 20741, 1946, 8718, 2587, 568, 8718, 2587, 2359, 4126, 1833, 2117, 121, 2321, 1999, 48497, 22, 36966, 2677, 5759, 2494, 13349, 0, 647, 3805, 448, 1246, 204, 647, 1127, 204, 647, 2164, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 531, 17894, 1931, 532, 26981, 204, 531, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 4861, 204, 35761, 68, 8298, 7216, 68, 3778, 289, 388, 3189, 1963, 25679, 19, 41704, 19, 13942, 20, 7577, 7, 204, 47, 9667, 68, 8440, 68, 3778, 289, 388, 3189, 1963, 481, 18, 676, 18, 79, 863, 18, 2816, 19, 88, 24, 19, 36366, 19, 1453, 20, 47, 9667, 68, 17305, 20, 998, 19, 2079, 7, 204, 50, 27024, 68, 3637, 35774, 68, 3778, 289, 388, 3189, 1963, 2816, 18, 20892, 19, 1453, 20, 25679, 11291, 204, 12087, 2267, 40008, 7190, 62, 68, 3778, 289, 388, 3189, 1963, 19680, 340, 6531, 19, 354, 405, 19, 13942, 20, 1803, 20, 1608, 20, 45691, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20, 59, 21776, 7, 204, 204, 461, 5345, 68, 6964, 374, 393, 26981, 31, 204, 264, 320, 204, 264, 977, 275, 5214, 19, 204, 204, 264, 475, 31, 204, 268, 26981, 31, 334, 9810, 5214, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 440, 45832, 204, 264, 11216, 68, 546, 289, 2552, 14772, 68, 546, 597, 45832, 1528, 9310, 9447, 204, 264, 407, 26981, 611, 10082, 491, 930, 14772, 68, 546, 17, 21572, 34, 1975, 14, 204, 204, 461, 11088, 68, 41704, 68, 7577, 13, 6964, 31, 26981, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 14475, 4240, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 31171, 329, 10313, 302, 275, 4240, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 14475, 4240, 1274, 204, 264, 5214, 19, 15440, 13, 35761, 68, 8298, 7216, 68, 3778, 14, 204, 264, 314, 763, 275, 2966, 1666, 302, 275, 1472, 204, 264, 300, 21785, 68, 7577, 68, 2079, 289, 5214, 19, 2079, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 300, 21785, 68, 7577, 68, 11880, 289, 10650, 13, 41704, 68, 7577, 68, 2079, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 1752, 275, 1043, 3062, 204, 264, 7192, 289, 300, 21785, 68, 7577, 68, 11880, 19, 2269, 68, 668, 611, 612, 491, 850, 20121, 23340, 9520, 21, 66, 204, 264, 314, 1986, 275, 31171, 329, 10313, 204, 264, 31171, 289, 7192, 19, 2269, 13, 676, 20121, 2387, 68, 1778, 3930, 492, 204, 264, 10313, 289, 7192, 19, 2269, 13, 676, 20121, 5982, 68, 356, 12388, 68, 3825, 3930, 492, 204, 264, 407, 2832, 42108, 559, 31171, 17, 388, 18934, 559, 10313, 98, 204, 204, 461, 11088, 68, 79, 863, 68, 935, 13, 6964, 31, 26981, 14, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 871, 9667, 752, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1274, 302, 275, 871, 9667, 752, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 871, 9667, 752, 1274, 204, 264, 5214, 19, 15440, 13, 47, 9667, 68, 8440, 68, 3778, 14, 204, 264, 314, 763, 275, 2966, 1666, 302, 275, 1472, 204, 264, 781, 863, 68, 935, 68, 2079, 289, 5214, 19, 2079, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 781, 863, 68, 935, 68, 11880, 289, 10650, 13, 79, 863, 68, 935, 68, 2079, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 1752, 275, 20682, 752, 204, 264, 752, 289, 781, 863, 68, 935, 68, 11880, 19, 2269, 68, 668, 611, 2952, 491, 850, 20121, 4603, 9520, 21, 66, 204, 264, 20682, 68, 935, 289, 752, 19, 2269, 611, 3371, 491, 850, 20121, 4603, 935, 41331, 18, 266, 534, 204, 264, 314, 1986, 275, 752, 1274, 204, 264, 20682, 68, 935, 68, 805, 289, 20682, 68, 935, 19, 11163, 19, 505, 611, 6422, 491, 443, 14, 204, 264, 4151, 68, 935, 68, 805, 289, 283, 1954, 47, 9667, 68, 8440, 68, 3778, 8246, 42282, 68, 935, 68, 805, 2495, 204, 264, 407, 4151, 68, 935, 68, 805, 204, 204, 461, 11088, 68, 25679, 68, 20892, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 13873, 10942, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2966, 1435, 302, 13873, 10942, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 13873, 10942, 1435, 497, 275, 1274, 204, 264, 28467, 68, 20892, 68, 1867, 289, 1246, 19, 976, 68, 2079, 13, 50, 27024, 68, 3637, 35774, 68, 3778, 14, 204, 264, 314, 2208, 275, 1435, 311, 273, 3135, 204, 264, 28467, 68, 20892, 68, 1695, 289, 28467, 68, 20892, 68, 1867, 64, 21, 66, 204, 264, 314, 2208, 275, 3135, 311, 2966, 204, 264, 28467, 68, 2079, 289, 28467, 68, 20892, 68, 1695, 19, 633, 68, 2079, 374, 204, 264, 314, 3182, 9733, 2724, 204, 264, 28467, 68, 2079, 289, 28467, 68, 2079, 19, 3834, 7708, 83, 491, 8930, 204, 264, 407, 28467, 68, 2079, 204, 204, 461, 11088, 68, 19680, 340, 6531, 374, 393, 783, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18640, 42373, 340, 6531, 2388, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 64, 325, 17, 394, 2440, 332, 458, 302, 5239, 1174, 275, 1724, 329, 1274, 302, 848, 752, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 752, 5448, 204, 264, 29788, 340, 6531, 68, 935, 68, 3968, 289, 1306, 204, 264, 314, 968, 275, 5448, 311, 11088, 204, 264, 14360, 289, 551, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 577, 793, 68, 6022, 15508, 360, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 3078, 3554, 354, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 28160, 1257, 671, 2024, 612, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 2018, 1644, 360, 68, 11393, 68, 278, 37678, 7, 204, 264, 2437, 204, 264, 314, 18640, 848, 1274, 204, 264, 348, 1779, 292, 14360, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 5804, 289, 10650, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 268, 1563, 289, 5804, 19, 2269, 68, 668, 611, 2952, 491, 850, 20121, 8806, 534, 204, 268, 314, 1986, 275, 1724, 329, 752, 1274, 204, 268, 348, 722, 292, 1563, 31, 204, 305, 1724, 289, 722, 19, 2269, 611, 77, 23, 491, 850, 20121, 1778, 3930, 492, 204, 305, 3840, 68, 805, 289, 722, 19, 2269, 611, 3371, 491, 850, 20121, 10502, 18, 935, 534, 204, 305, 3840, 68, 805, 289, 3840, 68, 805, 19, 11163, 19, 505, 611, 6422, 491, 443, 14, 204, 305, 3840, 68, 805, 289, 283, 7, 3189, 1963, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19680, 340, 6531, 19, 354, 405, 19, 13942, 96, 3371, 68, 805, 2495, 204, 305, 29788, 340, 6531, 68, 935, 68, 3968, 19, 1223, 7075, 1778, 559, 1724, 17, 388, 3371, 68, 805, 559, 3840, 68, 805, 1937, 204, 264, 407, 29788, 340, 6531, 68, 935, 68, 3968, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 18044, 13873, 424, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 204, 264, 5214, 289, 5345, 68, 6964, 374, 204, 264, 314, 18640, 14475, 4240, 204, 264, 300, 21785, 68, 7577, 289, 11088, 68, 41704, 68, 7577, 13, 6964, 14, 204, 264, 314, 18640, 871, 9667, 752, 204, 264, 4151, 68, 935, 68, 805, 289, 11088, 68, 79, 863, 68, 935, 13, 6964, 14, 204, 264, 314, 18640, 13873, 10942, 204, 264, 28467, 68, 2079, 289, 11088, 68, 25679, 68, 20892, 374, 204, 264, 314, 18640, 42373, 340, 6531, 2388, 204, 264, 29788, 340, 6531, 68, 935, 68, 3968, 289, 11088, 68, 19680, 340, 6531, 374, 204, 264, 314, 15655, 275, 5214, 204, 264, 5214, 19, 8289, 374, 204, 264, 314, 455, 275, 18044, 424, 204, 264, 407, 463, 204, 268, 388, 42108, 559, 300, 21785, 68, 7577, 1166, 42108, 2869, 204, 268, 388, 18934, 559, 300, 21785, 68, 7577, 1166, 18934, 2869, 204, 268, 388, 8947, 68, 935, 68, 805, 559, 4151, 68, 935, 68, 805, 17, 204, 268, 388, 25679, 68, 2079, 559, 28467, 68, 2079, 17, 204, 268, 388, 19680, 340, 6531, 68, 935, 68, 3968, 559, 29788, 340, 6531, 68, 935, 68, 3968, 204, 264, 1211, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 28467, 68, 481, 289, 11088, 68, 25679, 68, 481, 374, 204, 264, 456, 13, 25679, 68, 481, 14, 204, 0, 647, 304, 204, 531, 1804, 532, 1804, 204, 531, 1692, 19, 3766, 532, 4596, 1921, 3648, 204, 531, 1692, 19, 7641, 532, 1540, 204, 531, 10275, 532, 20737, 17, 23157, 204, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 10890, 532, 46475, 29051, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 1996, 532, 28797, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 39824, 532, 8187, 16396, 7531, 13109, 204, 531, 11878, 40574, 19, 7602, 68, 2201, 532, 1967, 68, 492, 68, 633, 68, 14524, 204, 531, 11878, 40574, 19, 4478, 532, 30309, 15275, 204, 204, 204, 676, 26795, 1816, 40, 7109, 55, 1500, 13109, 13, 16693, 16396, 7531, 13109, 330, 204, 264, 320, 204, 264, 332, 8917, 348, 20259, 20123, 497, 275, 26795, 1816, 14911, 16556, 15268, 19, 204, 264, 320, 204, 204, 264, 588, 289, 388, 934, 87, 68, 72, 7109, 68, 40400, 7, 204, 264, 13478, 289, 388, 38, 80, 1816, 14911, 16556, 15268, 7, 204, 264, 8486, 289, 388, 38909, 20, 10765, 35849, 7, 204, 264, 1012, 68, 3968, 289, 551, 204, 268, 388, 3189, 1963, 5419, 18, 28446, 375, 18, 30397, 18, 17630, 19, 88, 24, 19, 36366, 19, 1453, 20, 934, 87, 68, 72, 7109, 68, 40400, 20, 12142, 19, 547, 81, 7, 226, 314, 38810, 204, 264, 2437, 204, 264, 2852, 289, 463, 204, 268, 388, 417, 559, 388, 38, 80, 1816, 8187, 13631, 17, 28797, 14744, 368, 528, 204, 268, 388, 2820, 559, 388, 33566, 387, 9963, 15725, 17, 26795, 1816, 41323, 10405, 39336, 528, 204, 264, 1211, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 14, 393, 28797, 31, 204, 268, 320, 204, 268, 2735, 275, 958, 329, 4353, 273, 28797, 1184, 19, 204, 204, 268, 457, 31, 204, 305, 958, 31, 334, 958, 726, 497, 275, 3426, 824, 19, 204, 204, 268, 9112, 31, 204, 305, 28797, 31, 332, 28797, 1184, 3634, 497, 275, 958, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 1692, 943, 497, 275, 958, 2484, 204, 268, 5530, 289, 4596, 1921, 3648, 13, 7641, 34, 2305, 789, 1703, 3881, 13, 1935, 19, 3825, 14, 204, 204, 268, 314, 1986, 27046, 497, 275, 1692, 943, 204, 268, 27046, 289, 458, 13, 5000, 19, 2062, 68, 35497, 1447, 204, 204, 268, 314, 4863, 27046, 311, 1698, 2255, 7956, 88, 204, 268, 11878, 68, 35497, 289, 551, 70, 348, 273, 292, 27046, 397, 273, 19, 505, 68, 2387, 68, 932, 374, 564, 388, 5580, 20, 7129, 1339, 204, 204, 268, 314, 828, 273, 7956, 14200, 353, 1193, 17, 2252, 1163, 1068, 32, 2130, 17, 2252, 275, 1692, 1068, 204, 268, 397, 11878, 68, 35497, 31, 204, 305, 7058, 68, 492, 289, 370, 806, 1703, 68, 7129, 68, 492, 13, 7129, 68, 35497, 64, 21, 1664, 505, 68, 8101, 13, 5286, 34, 1021, 602, 204, 268, 902, 31, 204, 305, 7058, 68, 492, 289, 370, 806, 1703, 68, 2302, 68, 492, 13, 5000, 14, 204, 204, 268, 314, 7000, 273, 28797, 1184, 3634, 497, 275, 7058, 1068, 204, 268, 4353, 370, 806, 1703, 68, 7682, 13, 7682, 68, 492, 14, 204, 204, 264, 436, 906, 1703, 68, 7129, 68, 492, 13, 327, 17, 11878, 68, 3881, 31, 3154, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2735, 275, 1068, 497, 273, 7956, 14200, 19, 204, 204, 268, 457, 31, 204, 305, 11878, 68, 3881, 31, 334, 3154, 302, 275, 7956, 14200, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3634, 1068, 497, 275, 7956, 14200, 19, 204, 268, 320, 204, 268, 314, 6153, 5328, 2072, 348, 7956, 1068, 13348, 204, 268, 5328, 68, 2645, 289, 30309, 15275, 13, 1054, 68, 18811, 34, 21, 19, 22, 14, 204, 204, 268, 314, 1986, 1068, 497, 275, 7956, 14200, 204, 268, 919, 68, 1031, 289, 23157, 374, 204, 268, 1967, 68, 492, 68, 633, 68, 14524, 13, 26217, 13, 7129, 68, 3881, 659, 919, 68, 1031, 17, 5088, 2645, 34, 4478, 68, 2645, 14, 204, 204, 268, 314, 8414, 329, 407, 275, 4989, 1068, 204, 268, 407, 304, 19, 1509, 13, 87, 7979, 88, 24053, 388, 6277, 919, 68, 1031, 19, 27528, 13725, 2892, 374, 204, 204, 264, 436, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 906, 1703, 68, 2302, 68, 492, 13, 327, 17, 5530, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2735, 275, 1068, 497, 437, 1692, 943, 19, 204, 204, 268, 457, 31, 204, 305, 5530, 31, 334, 1692, 943, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3634, 1068, 497, 275, 1692, 943, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 782, 311, 1640, 275, 1692, 1068, 204, 268, 1666, 289, 3026, 204, 204, 268, 314, 1861, 1048, 275, 1692, 943, 3576, 204, 268, 348, 1085, 292, 5530, 19, 2062, 68, 6719, 1293, 204, 305, 314, 828, 275, 1085, 353, 273, 1658, 514, 943, 17, 13767, 1048, 1163, 860, 18, 6719, 204, 305, 397, 1085, 19, 505, 68, 2387, 68, 23562, 1357, 374, 564, 388, 37681, 559, 204, 485, 348, 860, 68, 1819, 292, 1085, 19, 505, 68, 8101, 1293, 204, 895, 314, 828, 273, 860, 18, 1819, 353, 273, 1068, 943, 17, 1967, 1163, 1666, 204, 895, 397, 860, 68, 1819, 19, 505, 68, 2387, 68, 23562, 1357, 374, 564, 388, 492, 559, 204, 2058, 1666, 289, 860, 68, 1819, 19, 505, 68, 2387, 374, 204, 2058, 2280, 204, 204, 268, 314, 455, 275, 4989, 1692, 1068, 204, 268, 407, 1666, 204, 204, 264, 436, 906, 1703, 68, 7682, 13, 327, 17, 7058, 31, 394, 14, 393, 28797, 31, 204, 268, 320, 204, 268, 2735, 273, 28797, 1184, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 28797, 31, 332, 28797, 1184, 3634, 497, 275, 7058, 1068, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 1012, 1804, 497, 275, 7058, 1068, 204, 268, 1012, 289, 370, 806, 1703, 68, 1530, 13, 7682, 14, 204, 204, 268, 314, 828, 275, 1012, 1804, 353, 508, 1193, 17, 407, 443, 204, 268, 397, 508, 1012, 31, 204, 305, 407, 204, 204, 268, 314, 666, 273, 717, 28797, 1184, 204, 268, 9328, 289, 28797, 13, 204, 305, 1724, 1022, 40, 7109, 16556, 15268, 528, 204, 305, 2342, 22278, 204, 305, 6980, 34, 26490, 29051, 17, 204, 305, 1012, 34, 1530, 17, 204, 305, 1136, 34, 3170, 17, 204, 305, 830, 68, 2124, 34, 1975, 17, 204, 305, 690, 68, 12100, 1022, 30008, 3695, 440, 13478, 528, 204, 305, 2852, 34, 327, 806, 1703, 68, 3366, 13, 7682, 659, 204, 305, 5444, 27875, 204, 305, 2139, 34, 327, 19, 1530, 68, 3968, 64, 21, 648, 204, 268, 1179, 204, 204, 268, 314, 1359, 275, 9328, 1714, 329, 1222, 204, 268, 9328, 1166, 1835, 1339, 289, 370, 806, 505, 68, 1835, 13, 24187, 17, 1068, 34, 7682, 14, 204, 268, 9328, 1166, 359, 1339, 289, 370, 806, 505, 68, 359, 13, 24187, 14, 204, 204, 268, 314, 455, 275, 3634, 28797, 1184, 204, 268, 407, 9328, 204, 204, 264, 436, 906, 1703, 68, 1530, 13, 327, 17, 7058, 31, 394, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 2735, 275, 1012, 1804, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3634, 1012, 1804, 19, 204, 268, 320, 204, 268, 314, 1986, 1489, 3157, 497, 275, 7058, 1068, 204, 268, 1489, 68, 4648, 289, 370, 806, 5184, 68, 672, 68, 4648, 13, 7682, 14, 204, 204, 268, 314, 828, 1236, 1489, 3157, 529, 1193, 17, 407, 443, 204, 268, 397, 508, 1489, 68, 4648, 31, 204, 305, 407, 204, 204, 268, 314, 763, 275, 6826, 1489, 782, 204, 268, 1489, 68, 1031, 289, 370, 806, 505, 68, 24808, 68, 672, 68, 1031, 13, 672, 68, 4648, 14, 204, 204, 268, 314, 1986, 275, 690, 782, 497, 275, 7058, 1068, 204, 268, 690, 68, 1031, 289, 370, 806, 5184, 68, 834, 68, 1031, 13, 7682, 14, 204, 204, 268, 314, 2735, 275, 1804, 497, 275, 1489, 329, 690, 3157, 204, 268, 407, 370, 806, 1703, 68, 2664, 13, 672, 68, 1031, 17, 690, 68, 1031, 14, 204, 204, 264, 436, 906, 5184, 68, 672, 68, 4648, 13, 327, 17, 7058, 31, 394, 14, 393, 458, 31, 204, 268, 320, 204, 268, 1986, 1489, 3157, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 4989, 1489, 3157, 19, 204, 268, 320, 204, 268, 314, 1986, 830, 1489, 3157, 497, 275, 7058, 1068, 204, 268, 830, 68, 672, 68, 4648, 289, 304, 19, 12624, 13, 87, 15394, 38, 18, 63, 1799, 70, 18, 95, 13110, 23, 17, 29, 98, 688, 73, 96, 22, 17, 23, 1522, 36, 688, 73, 96, 25, 7068, 7058, 14, 204, 204, 268, 314, 1986, 1489, 3157, 496, 529, 508, 8367, 560, 388, 37165, 7, 204, 268, 1489, 68, 4648, 289, 304, 19, 12624, 13, 87, 15394, 38, 18, 63, 1799, 70, 18, 95, 13110, 23, 17, 29, 98, 688, 73, 96, 22, 17, 23, 1522, 36, 688, 73, 96, 25, 7293, 36, 6, 32089, 11541, 7058, 14, 204, 204, 268, 314, 455, 275, 1489, 3157, 496, 529, 508, 8367, 560, 388, 37165, 528, 521, 830, 1489, 3157, 397, 11077, 529, 1193, 204, 268, 407, 1489, 68, 4648, 397, 1489, 68, 4648, 902, 830, 68, 672, 68, 4648, 204, 204, 264, 436, 906, 505, 68, 24808, 68, 672, 68, 1031, 13, 327, 17, 1489, 68, 4648, 31, 458, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 6826, 1489, 782, 497, 275, 800, 458, 302, 1489, 3157, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 68, 4648, 31, 332, 458, 302, 1489, 3157, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 6826, 1489, 782, 19, 204, 268, 320, 204, 268, 314, 828, 1422, 353, 1698, 1051, 1489, 782, 17, 407, 490, 204, 268, 397, 1245, 13, 672, 68, 4648, 14, 564, 368, 31, 204, 305, 407, 1489, 68, 4648, 64, 21, 66, 204, 204, 268, 314, 828, 1422, 529, 970, 1489, 3157, 17, 407, 275, 1350, 1051, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 397, 1245, 13, 672, 68, 4648, 14, 564, 435, 31, 204, 305, 407, 1489, 68, 4648, 64, 22, 66, 204, 204, 268, 314, 828, 1422, 529, 1236, 1489, 3157, 17, 407, 437, 1392, 782, 204, 268, 407, 3026, 204, 204, 264, 436, 906, 5184, 68, 834, 68, 1031, 13, 327, 17, 7058, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 1986, 275, 690, 782, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 4989, 690, 782, 19, 204, 268, 320, 204, 268, 314, 1986, 690, 3157, 497, 275, 7058, 1068, 204, 268, 690, 68, 4648, 289, 551, 204, 305, 297, 64, 21, 66, 204, 305, 348, 297, 292, 304, 19, 12624, 13, 87, 7, 3453, 73, 96, 22, 17, 23, 7293, 8563, 73, 96, 23, 1937, 551, 784, 82, 24503, 13110, 23, 17, 25, 1937, 528, 7058, 17, 8725, 34, 272, 19, 46, 14, 204, 268, 2437, 204, 204, 268, 314, 828, 273, 690, 782, 353, 1193, 17, 407, 490, 32, 2130, 17, 407, 273, 1540, 690, 782, 204, 268, 407, 690, 68, 4648, 64, 21, 66, 397, 690, 68, 4648, 902, 388, 1258, 31, 473, 3315, 7, 204, 204, 264, 436, 906, 1703, 68, 2664, 13, 327, 17, 1489, 68, 1031, 31, 394, 17, 690, 68, 1031, 31, 394, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 2735, 275, 1804, 497, 275, 800, 1489, 329, 690, 3157, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 68, 1031, 31, 334, 1489, 782, 19, 204, 305, 690, 68, 1031, 31, 334, 690, 782, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3634, 1804, 19, 204, 268, 320, 204, 268, 314, 6153, 275, 1804, 1883, 204, 268, 7357, 68, 18247, 289, 13057, 39, 1564, 73, 1564, 62, 10, 46, 6212, 50, 1564, 85, 7, 204, 204, 268, 314, 828, 275, 690, 782, 1583, 508, 918, 273, 10550, 17, 7023, 275, 1804, 1883, 204, 268, 397, 23454, 7, 508, 292, 690, 68, 1031, 31, 204, 305, 7357, 68, 18247, 289, 13057, 39, 1564, 73, 1564, 62, 10, 46, 1564, 85, 7, 204, 204, 268, 314, 2735, 275, 1804, 497, 275, 1489, 329, 690, 3157, 204, 268, 407, 1804, 19, 12903, 13, 672, 68, 1031, 19, 3834, 48650, 11070, 465, 690, 68, 1031, 17, 7357, 68, 18247, 14, 204, 204, 264, 436, 906, 1703, 68, 3366, 13, 327, 17, 7058, 31, 394, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 2735, 275, 2852, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 334, 3634, 2852, 19, 204, 268, 320, 204, 268, 314, 1986, 2852, 3157, 497, 275, 7058, 1068, 204, 268, 2852, 68, 655, 289, 304, 19, 12624, 13, 87, 7979, 73, 96, 23, 17, 26, 98, 551, 38, 18, 63, 1799, 38, 18, 34762, 18, 95, 65, 73, 65, 2458, 2437, 96, 1003, 17, 1719, 20637, 65, 73, 96, 26, 7068, 7058, 14, 204, 204, 268, 314, 828, 273, 2852, 782, 353, 1193, 329, 490, 1583, 508, 2216, 275, 1540, 2852, 17, 407, 490, 204, 268, 397, 2852, 68, 655, 329, 388, 33566, 7, 508, 292, 2852, 68, 655, 64, 21, 744, 204, 305, 407, 463, 204, 485, 388, 417, 559, 8897, 204, 485, 388, 2820, 559, 2852, 68, 655, 64, 21, 648, 204, 305, 1211, 204, 204, 268, 314, 9444, 17, 407, 275, 1540, 2852, 204, 268, 407, 370, 19, 3366, 204, 0, 461, 636, 68, 6418, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 273, 2140, 1534, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 332, 2140, 1534, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 700, 289, 421, 13, 768, 13, 4202, 602, 204, 305, 397, 700, 2186, 500, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 2140, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 700, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 461, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 1205, 31, 421, 17, 2198, 31, 421, 17, 1853, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 3351, 302, 273, 13737, 18909, 19, 204, 204, 264, 457, 31, 204, 268, 1277, 322, 339, 330, 334, 1277, 302, 275, 18909, 19, 204, 268, 2198, 322, 339, 330, 334, 2198, 302, 275, 18909, 19, 204, 268, 1853, 322, 339, 330, 334, 1853, 302, 275, 18909, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 3351, 302, 275, 18909, 19, 204, 264, 320, 204, 264, 314, 888, 275, 3351, 560, 9137, 275, 1277, 17, 2198, 17, 329, 1853, 204, 264, 407, 1277, 540, 2198, 540, 1853, 204, 204, 461, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 13, 4202, 31, 394, 14, 393, 927, 64, 339, 17, 421, 17, 421, 744, 204, 264, 320, 204, 264, 763, 275, 5150, 302, 273, 13737, 18909, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 17, 421, 744, 332, 927, 1174, 275, 1277, 17, 2198, 17, 329, 1853, 302, 275, 18909, 19, 204, 264, 320, 204, 264, 314, 763, 275, 5150, 302, 275, 18909, 204, 264, 1277, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 1277, 31, 2810, 204, 264, 2198, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 2198, 31, 2810, 204, 264, 1853, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 1853, 31, 2810, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 407, 1277, 17, 2198, 17, 1853, 204, 204, 461, 618, 68, 5980, 13, 2670, 2643, 22, 68, 1205, 31, 421, 17, 18909, 22, 68, 2435, 31, 421, 17, 18909, 22, 68, 2757, 31, 421, 17, 716, 485, 18909, 23, 68, 1205, 31, 421, 17, 18909, 23, 68, 2435, 31, 421, 17, 18909, 23, 68, 2757, 31, 421, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 19, 204, 204, 264, 457, 31, 204, 268, 18909, 22, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1043, 18909, 19, 204, 268, 18909, 22, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 1043, 18909, 19, 204, 268, 18909, 22, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 1043, 18909, 19, 204, 268, 18909, 23, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1350, 18909, 19, 204, 268, 18909, 23, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 1350, 18909, 19, 204, 268, 18909, 23, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 1350, 18909, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 204, 264, 407, 322, 2670, 2643, 22, 68, 1205, 3721, 18909, 23, 68, 1205, 329, 716, 305, 18909, 22, 68, 2435, 3721, 18909, 23, 68, 2435, 329, 716, 305, 18909, 22, 68, 2757, 3721, 18909, 23, 68, 2757, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 763, 275, 5150, 302, 275, 2813, 9245, 204, 264, 18909, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 289, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 499, 2101, 275, 1043, 18909, 677, 431, 204, 264, 18909, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 289, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 499, 2101, 275, 1350, 18909, 677, 431, 204, 204, 264, 314, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 204, 264, 397, 618, 68, 5980, 13, 2670, 2643, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 17, 716, 13429, 18909, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 330, 204, 268, 314, 888, 275, 3351, 302, 848, 18909, 204, 268, 18909, 22, 68, 6811, 289, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 2670, 2643, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 14, 204, 268, 18909, 23, 68, 6811, 289, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 2670, 2643, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 14, 204, 822, 268, 314, 888, 329, 456, 275, 542, 302, 2666, 275, 1350, 18909, 618, 4185, 292, 275, 1043, 18909, 204, 268, 456, 13, 2670, 2643, 22, 68, 6811, 3166, 18909, 23, 68, 6811, 14, 204, 264, 902, 31, 204, 268, 456, 499, 21, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 3728, 353, 273, 33563, 703, 12303, 36, 204, 38, 16006, 5208, 353, 273, 3264, 18, 29527, 610, 18, 549, 7157, 302, 275, 12112, 19, 33563, 703, 8039, 618, 1340, 4522, 12112, 6427, 1330, 490, 353, 292, 1163, 4744, 17, 1901, 2577, 19303, 14113, 19, 763, 275, 10942, 1465, 16006, 14922, 19, 204, 43, 5369, 1235, 9289, 275, 11266, 348, 16006, 8887, 14452, 329, 1737, 348, 275, 1880, 1415, 5190, 16006, 14922, 19, 26375, 1425, 14217, 4982, 275, 6759, 496, 5190, 16006, 14922, 292, 275, 548, 19, 56, 2458, 1683, 275, 33563, 703, 12303, 26231, 24835, 5102, 322, 11351, 4688, 789, 204, 19670, 1605, 13868, 311, 1340, 872, 7324, 348, 1214, 16006, 5208, 19, 204, 18, 12647, 884, 89, 14709, 355, 44095, 608, 17, 26557, 1694, 17, 6273, 288, 521, 24280, 1683, 1214, 14898, 521, 523, 1214, 12112, 88, 523, 275, 2344, 302, 1214, 5962, 19, 15983, 9312, 2549, 2248, 719, 292, 437, 610, 18, 549, 19, 204, 18, 5486, 275, 8740, 2379, 397, 872, 874, 12112, 41583, 19, 3433, 1741, 1519, 311, 3074, 1182, 13253, 1194, 273, 4217, 16006, 5208, 19, 204, 18, 40267, 4948, 16006, 14922, 521, 874, 1475, 2312, 311, 275, 3466, 397, 2237, 19, 204, 18, 30916, 275, 26293, 397, 872, 874, 6015, 23941, 496, 1741, 1895, 490, 5027, 348, 872, 311, 4930, 719, 17, 17033, 1214, 14898, 17, 521, 5148, 1214, 12444, 19, 204, 2841, 529, 16965, 302, 34904, 1465, 16006, 8887, 19, 17450, 275, 10942, 311, 6156, 11067, 19, 204, 42308, 703, 8039, 529, 4275, 273, 16641, 348, 33563, 703, 8039, 204, 42308, 703, 8039, 6626, 437, 752, 496, 5913, 275, 3758, 302, 5462, 329, 5043, 3714, 4789, 275, 3776, 302, 275, 2484, 19, 26375, 869, 1236, 6678, 311, 2886, 275, 13312, 496, 25557, 8039, 618, 4066, 16006, 14922, 329, 496, 25557, 12303, 618, 1020, 12112, 6427, 2181, 2518, 490, 618, 444, 7675, 560, 16006, 8887, 19, 204, 51, 7895, 280, 332, 48400, 2471, 529, 4275, 273, 3685, 2719, 347, 348, 33563, 703, 8039, 204, 51, 7895, 280, 31951, 316, 353, 273, 683, 292, 928, 273, 12112, 11392, 353, 1376, 311, 5495, 10142, 497, 273, 10506, 884, 88, 300, 7895, 280, 311, 3645, 348, 17912, 329, 14963, 6427, 1399, 4207, 19, 26375, 869, 1236, 6678, 311, 2886, 13312, 496, 300, 7895, 280, 31951, 316, 4394, 17, 1330, 1376, 523, 1017, 3346, 17, 529, 437, 6639, 21602, 5910, 348, 1169, 7155, 2407, 17, 2864, 275, 7151, 302, 12112, 6427, 521, 904, 12112, 4614, 19, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 461, 881, 68, 1155, 391, 95, 68, 269, 945, 68, 1993, 1293, 204, 264, 320, 204, 264, 5276, 273, 717, 1242, 379, 1155, 391, 95, 68, 269, 945, 12, 311, 275, 379, 6590, 391, 95, 12, 570, 19, 204, 204, 264, 1058, 1242, 353, 273, 8620, 896, 496, 13165, 275, 379, 6590, 391, 95, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 570, 5398, 17, 716, 264, 11439, 348, 370, 18, 272, 19842, 8160, 19, 204, 264, 320, 204, 264, 314, 968, 275, 5420, 6127, 204, 264, 6127, 289, 551, 204, 268, 2448, 285, 3762, 2286, 2925, 25113, 491, 379, 11754, 68, 3474, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 5420, 2758, 204, 264, 2758, 289, 551, 204, 268, 314, 1255, 273, 717, 1242, 379, 1155, 391, 95, 68, 269, 945, 12, 311, 275, 379, 6590, 391, 95, 12, 570, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 833, 1155, 391, 95, 491, 204, 305, 588, 833, 1155, 391, 95, 68, 269, 945, 491, 204, 305, 1242, 34, 1618, 19, 4483, 13, 204, 485, 3232, 68, 417, 833, 1155, 391, 95, 68, 269, 945, 491, 716, 485, 311, 833, 285, 3762, 2286, 2925, 25113, 19, 6590, 391, 95, 491, 716, 485, 4247, 34, 1021, 17, 716, 485, 3749, 34, 1021, 204, 305, 5334, 204, 268, 5334, 204, 264, 2437, 204, 204, 676, 5188, 391, 95, 11267, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 332, 5959, 1104, 5420, 496, 9321, 273, 717, 1242, 311, 275, 379, 6590, 391, 95, 12, 570, 19, 204, 264, 320, 204, 264, 6127, 289, 6127, 204, 264, 2758, 289, 2758, 204, 0, 531, 24368, 532, 24368, 448, 2777, 204, 531, 19709, 19, 25758, 68, 772, 532, 552, 35156, 3295, 204, 531, 19709, 19, 10890, 532, 871, 2313, 17, 332, 12374, 17, 6250, 62, 17, 871, 6217, 17, 871, 2959, 17, 650, 2213, 17, 5370, 40, 204, 531, 1804, 532, 1489, 204, 204, 676, 628, 43885, 347, 351, 45, 35156, 13, 45, 35156, 3295, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 275, 19709, 292, 628, 43885, 347, 351, 19, 204, 204, 264, 1532, 31, 204, 268, 3477, 322, 325, 330, 334, 3477, 1576, 348, 628, 43885, 347, 351, 19, 204, 268, 1540, 68, 6805, 322, 325, 330, 334, 1540, 3269, 348, 628, 43885, 347, 351, 19, 204, 268, 6300, 68, 18608, 322, 2644, 330, 332, 927, 302, 6300, 9351, 19, 204, 264, 320, 204, 204, 264, 3477, 289, 388, 6064, 7, 204, 264, 1540, 68, 6805, 289, 388, 301, 7, 204, 264, 6300, 68, 18608, 289, 4401, 278, 68, 3322, 528, 388, 301, 528, 388, 8349, 431, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 628, 43885, 347, 351, 16099, 850, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 31, 7618, 1906, 19, 204, 305, 930, 2251, 31, 14839, 1906, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 204, 264, 436, 906, 25264, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8401, 9289, 275, 16099, 458, 348, 275, 800, 1324, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 16836, 275, 19709, 19, 204, 268, 320, 204, 268, 2234, 48395, 25264, 13, 2873, 14, 204, 268, 370, 806, 826, 68, 16724, 68, 31511, 13, 2873, 14, 204, 268, 370, 806, 826, 68, 3334, 68, 31511, 13, 2873, 14, 204, 204, 264, 436, 906, 826, 68, 16724, 68, 31511, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 6768, 19709, 311, 275, 16099, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 881, 275, 19709, 19, 204, 268, 320, 204, 268, 314, 2991, 10504, 677, 8373, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 871, 2313, 17, 368, 2395, 289, 2777, 499, 38, 40985, 392, 347, 4158, 431, 204, 204, 268, 314, 18751, 33259, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 3528, 2395, 289, 2777, 499, 51, 19799, 2142, 17191, 431, 204, 204, 268, 314, 18751, 8373, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 2019, 2395, 289, 2777, 499, 41, 33927, 355, 43978, 22045, 431, 204, 204, 268, 314, 2991, 10504, 677, 33259, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 7207, 2395, 289, 2777, 499, 43, 16857, 70, 355, 10480, 355, 332, 40985, 431, 204, 204, 264, 436, 906, 826, 68, 3334, 68, 31511, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 1554, 19709, 311, 275, 16099, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 881, 275, 19709, 19, 204, 268, 320, 204, 268, 314, 19528, 302, 346, 1941, 4089, 19, 204, 268, 34482, 4089, 68, 1637, 2124, 289, 1489, 13, 2873, 17, 24623, 39, 17, 5254, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 72, 1941, 4089, 68, 1637, 2124, 66, 289, 2777, 499, 49, 23421, 355, 346, 1941, 70, 577, 431, 204, 204, 268, 314, 23709, 302, 346, 1941, 4089, 19, 204, 268, 34482, 4089, 68, 89, 18478, 289, 1489, 13, 2873, 17, 24623, 39, 17, 4662, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 72, 1941, 4089, 68, 89, 18478, 66, 289, 2777, 499, 37485, 301, 355, 346, 1941, 70, 577, 431, 204, 204, 268, 314, 7364, 817, 94, 26746, 19, 204, 268, 425, 817, 94, 68, 427, 20352, 289, 1489, 13, 2873, 17, 41660, 17, 7500, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 365, 817, 94, 68, 427, 20352, 66, 289, 2777, 499, 47, 347, 1405, 387, 38145, 431, 204, 204, 268, 314, 12886, 20314, 19, 204, 268, 3094, 68, 75, 16164, 289, 1489, 13, 2873, 17, 41660, 17, 2468, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 10227, 68, 75, 16164, 66, 289, 2777, 499, 26047, 1349, 301, 387, 38145, 431, 204, 204, 268, 314, 32475, 302, 27994, 19, 204, 268, 397, 1324, 3721, 1916, 1641, 31, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 370, 64, 672, 13, 2873, 17, 332, 12374, 17, 1433, 2395, 289, 2777, 499, 3753, 14675, 35205, 355, 5088, 592, 3693, 24856, 431, 204, 204, 268, 314, 9755, 26513, 677, 8373, 19, 204, 268, 397, 1324, 3721, 40252, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 6250, 62, 17, 368, 2395, 289, 2777, 499, 48417, 502, 817, 464, 6924, 4964, 5267, 79, 13436, 431, 204, 204, 268, 314, 20930, 302, 5403, 47687, 702, 19, 204, 268, 397, 1324, 3721, 33252, 521, 1916, 2500, 2186, 1324, 2186, 34623, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 6217, 17, 3528, 2395, 289, 2777, 499, 39, 4888, 351, 355, 5403, 47687, 702, 431, 204, 204, 268, 314, 27994, 8373, 19, 204, 268, 397, 1324, 3721, 1916, 1641, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 2959, 17, 720, 2395, 289, 2777, 499, 41, 33927, 355, 5088, 592, 3693, 24856, 431, 204, 204, 268, 314, 43974, 302, 34680, 23756, 467, 290, 19, 204, 268, 397, 1324, 3721, 34098, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 2959, 17, 3528, 2395, 289, 2777, 499, 51, 4888, 37690, 355, 4590, 16725, 23756, 11863, 4415, 431, 204, 204, 268, 314, 8373, 302, 31419, 28811, 521, 41925, 8373, 19, 204, 268, 397, 1324, 3721, 44742, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 650, 2213, 17, 1598, 2395, 289, 2777, 499, 41, 33927, 355, 5088, 2315, 337, 24856, 3898, 11863, 2721, 70, 431, 397, 1324, 3721, 14565, 902, 2777, 499, 41, 33927, 355, 5088, 1393, 11840, 431, 204, 204, 268, 314, 28489, 552, 35156, 19, 204, 268, 397, 46417, 2186, 1324, 2186, 34623, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 650, 2213, 17, 4662, 2395, 289, 2777, 499, 41, 33927, 37079, 17635, 5285, 495, 912, 14836, 431, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 376, 43885, 347, 351, 68, 31511, 289, 628, 43885, 347, 351, 45, 35156, 374, 204, 264, 348, 1489, 17, 588, 292, 2282, 13, 2553, 43977, 347, 351, 68, 31511, 19, 1996, 13077, 204, 268, 456, 13, 75, 1954, 672, 2829, 463, 417, 743, 204, 0, 647, 3363, 204, 531, 12202, 532, 9124, 17, 14484, 204, 531, 2573, 532, 5782, 204, 204, 8, 968, 3454, 204, 14059, 68, 6559, 289, 11818, 204, 14059, 68, 7645, 289, 8873, 204, 21037, 17302, 2613, 68, 27898, 289, 500, 19, 2300, 204, 19575, 68, 21037, 17302, 2613, 68, 27898, 289, 435, 19, 21, 204, 204, 676, 29851, 2191, 13, 5346, 330, 204, 264, 320, 5272, 275, 1187, 302, 7978, 1279, 204, 264, 29059, 289, 388, 1735, 7, 204, 264, 33627, 289, 388, 1633, 7, 204, 264, 29514, 289, 388, 8683, 7, 204, 204, 676, 5140, 13, 8927, 330, 204, 264, 320, 5272, 273, 1259, 1279, 204, 264, 1642, 9017, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 320, 11546, 88, 275, 1259, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 322, 9346, 19, 8939, 330, 334, 7959, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 676, 29851, 31, 204, 264, 320, 204, 264, 2646, 273, 7978, 1283, 970, 3584, 19, 204, 204, 264, 457, 31, 204, 268, 790, 68, 1512, 322, 5059, 330, 334, 790, 1259, 19, 204, 268, 7978, 68, 932, 322, 38984, 2191, 330, 334, 1187, 302, 7978, 19, 204, 268, 1419, 68, 1512, 322, 5059, 330, 334, 1419, 1259, 19, 204, 268, 1029, 68, 1512, 322, 5059, 330, 334, 1029, 1259, 19, 204, 268, 5401, 322, 996, 17, 1448, 330, 334, 5401, 302, 275, 7978, 19, 1243, 311, 35396, 17302, 2613, 68, 27898, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 790, 68, 1512, 31, 5140, 17, 7978, 68, 932, 31, 29851, 2191, 17, 1419, 68, 1512, 31, 5140, 17, 1029, 68, 1512, 31, 5140, 17, 5401, 31, 818, 289, 35396, 17302, 2613, 68, 27898, 330, 204, 268, 370, 19, 1976, 68, 1512, 289, 790, 68, 1512, 204, 268, 370, 19, 14619, 68, 932, 289, 7978, 68, 932, 204, 268, 370, 19, 3474, 68, 1512, 289, 1419, 68, 1512, 204, 268, 370, 19, 2170, 68, 1512, 289, 1029, 68, 1512, 204, 268, 370, 19, 7083, 289, 5401, 204, 268, 370, 19, 834, 289, 500, 204, 268, 370, 19, 9426, 22, 289, 3363, 19, 8939, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 268, 370, 19, 9426, 23, 289, 3363, 19, 8939, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 268, 370, 19, 3474, 68, 1512, 19, 3320, 13, 327, 19, 9426, 22, 14, 204, 268, 370, 19, 2170, 68, 1512, 19, 3320, 13, 327, 19, 9426, 23, 14, 204, 204, 264, 436, 1395, 13, 327, 17, 7357, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7357, 322, 996, 330, 334, 690, 13179, 3522, 275, 1673, 1395, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 7978, 690, 204, 268, 370, 19, 834, 1412, 7357, 204, 268, 314, 778, 397, 275, 7978, 353, 4151, 204, 268, 397, 370, 19, 834, 1323, 370, 19, 7083, 31, 204, 305, 314, 1716, 275, 790, 1259, 204, 305, 370, 19, 1976, 68, 1512, 289, 370, 19, 2170, 68, 1512, 204, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 322, 9346, 19, 8939, 330, 334, 7959, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 7959, 204, 268, 7959, 19, 5716, 1802, 21, 17, 500, 17, 500, 602, 204, 268, 314, 888, 275, 5634, 302, 275, 7978, 204, 268, 5634, 289, 370, 19, 834, 802, 370, 19, 7083, 204, 268, 610, 22, 289, 500, 204, 268, 469, 22, 289, 500, 204, 268, 610, 23, 289, 15412, 68, 6559, 204, 268, 469, 23, 289, 500, 204, 204, 268, 314, 1426, 1792, 7978, 3003, 204, 268, 397, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 12842, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 305, 314, 38288, 275, 1419, 1259, 311, 275, 1824, 204, 305, 610, 22, 289, 338, 22, 540, 5634, 540, 15412, 68, 6559, 204, 305, 610, 23, 289, 610, 22, 465, 15412, 68, 6559, 204, 268, 1677, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 13544, 31, 204, 305, 314, 38288, 275, 1419, 1259, 311, 275, 1629, 204, 305, 610, 22, 289, 5634, 540, 15412, 68, 6559, 204, 305, 610, 23, 289, 610, 22, 338, 15412, 68, 6559, 204, 268, 1677, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 19575, 31, 204, 305, 314, 4657, 285, 292, 20, 607, 275, 1419, 329, 1029, 3584, 204, 305, 397, 370, 19, 834, 2186, 29514, 68, 21037, 17302, 2613, 68, 27898, 31, 204, 485, 5634, 22, 289, 368, 338, 322, 327, 19, 834, 802, 29514, 68, 21037, 17302, 2613, 68, 27898, 14, 204, 305, 902, 31, 204, 485, 5634, 22, 289, 500, 204, 305, 397, 370, 19, 834, 1323, 29514, 68, 21037, 17302, 2613, 68, 27898, 31, 204, 485, 5634, 23, 289, 322, 327, 19, 834, 338, 29514, 68, 21037, 17302, 2613, 68, 27898, 14, 802, 29514, 68, 21037, 17302, 2613, 68, 27898, 204, 305, 902, 31, 204, 485, 5634, 23, 289, 500, 204, 305, 370, 19, 9426, 22, 19, 574, 68, 4548, 13, 339, 13, 4808, 540, 5634, 22, 602, 204, 305, 370, 19, 9426, 23, 19, 574, 68, 4548, 13, 339, 13, 4808, 540, 5634, 23, 602, 204, 305, 610, 23, 289, 500, 204, 204, 268, 314, 4456, 275, 1419, 329, 1029, 3584, 204, 268, 7959, 19, 15709, 13, 327, 19, 9426, 22, 17, 322, 93, 22, 17, 469, 22, 602, 204, 268, 7959, 19, 15709, 13, 327, 19, 9426, 23, 17, 322, 93, 23, 17, 469, 23, 602, 204, 204, 8, 1165, 1265, 31, 204, 676, 1165, 5059, 13, 5059, 330, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 314, 4456, 273, 4720, 4392, 204, 268, 3363, 19, 3320, 19, 966, 13, 9426, 17, 322, 4808, 17, 500, 17, 500, 659, 322, 21, 17, 500, 17, 15412, 68, 6559, 17, 15412, 68, 7645, 602, 204, 204, 461, 667, 1293, 204, 264, 3363, 19, 924, 374, 204, 264, 3645, 289, 3363, 19, 2994, 19, 574, 68, 3607, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 264, 6988, 289, 3363, 19, 834, 19, 16271, 374, 204, 204, 264, 1419, 68, 1512, 289, 1165, 5059, 374, 204, 264, 1029, 68, 1512, 289, 1165, 5059, 374, 204, 204, 264, 7978, 289, 29851, 13, 3474, 68, 1512, 17, 29851, 2191, 19, 12842, 17, 1419, 68, 1512, 17, 1029, 68, 1512, 14, 204, 204, 264, 4436, 289, 959, 204, 264, 1335, 4436, 31, 204, 268, 348, 1643, 292, 3363, 19, 2977, 19, 505, 1293, 204, 305, 397, 1643, 19, 932, 564, 3363, 19, 18210, 31, 204, 485, 4436, 289, 1078, 204, 204, 268, 7357, 289, 6988, 19, 5355, 13, 2682, 14, 802, 3861, 204, 268, 7978, 19, 2045, 13, 5144, 14, 204, 268, 7978, 19, 3320, 13, 5321, 14, 204, 204, 268, 3363, 19, 2994, 19, 12297, 374, 204, 204, 264, 3363, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 9704, 68, 3337, 13, 5454, 29650, 31, 458, 64, 339, 648, 296, 31, 421, 17, 781, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 13984, 970, 1842, 292, 275, 6082, 29650, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 296, 322, 339, 330, 334, 1112, 302, 275, 1043, 1103, 311, 9704, 19, 204, 268, 781, 322, 339, 330, 334, 1112, 302, 275, 1350, 1103, 311, 9704, 19, 204, 264, 320, 204, 264, 314, 13984, 1842, 974, 927, 32370, 204, 264, 6082, 29650, 64, 78, 648, 6082, 29650, 64, 79, 66, 289, 6082, 29650, 64, 79, 648, 6082, 29650, 64, 78, 66, 204, 204, 461, 1020, 68, 1129, 68, 998, 13, 5454, 29650, 31, 458, 64, 339, 648, 1302, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 1112, 302, 275, 1646, 6082, 26194, 292, 275, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 458, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1112, 302, 275, 1646, 6082, 26194, 19, 204, 264, 320, 204, 264, 314, 977, 846, 68, 998, 311, 500, 329, 13767, 1924, 275, 458, 311, 1020, 275, 1646, 204, 264, 846, 68, 998, 289, 500, 204, 264, 348, 296, 292, 933, 13, 835, 330, 204, 268, 397, 6082, 29650, 64, 78, 66, 1323, 6082, 29650, 64, 1129, 68, 998, 744, 204, 305, 846, 68, 998, 289, 296, 204, 264, 407, 846, 68, 998, 204, 204, 461, 13298, 68, 5454, 29650, 13, 5454, 29650, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 25278, 275, 1043, 724, 6082, 29650, 292, 275, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 724, 322, 339, 330, 334, 542, 302, 6082, 29650, 311, 13298, 19, 204, 264, 320, 204, 264, 314, 1974, 970, 13857, 311, 13298, 275, 6082, 29650, 204, 264, 1824, 289, 500, 204, 264, 1629, 289, 724, 338, 368, 204, 264, 1335, 1824, 962, 1629, 31, 204, 268, 9704, 68, 3337, 13, 5454, 29650, 17, 1824, 17, 1629, 14, 204, 268, 1824, 1412, 368, 204, 268, 1629, 4922, 368, 204, 204, 461, 6082, 26194, 68, 2975, 13, 5454, 29650, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4641, 275, 6082, 29650, 292, 9472, 1552, 974, 275, 6082, 26194, 12111, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 264, 320, 204, 264, 1302, 289, 1245, 13, 5454, 29650, 14, 204, 264, 1335, 1302, 1323, 368, 31, 204, 268, 314, 1752, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 275, 1112, 302, 275, 1646, 6082, 26194, 204, 268, 846, 68, 998, 289, 1020, 68, 1129, 68, 998, 13, 5454, 29650, 17, 1302, 14, 204, 268, 456, 13, 75, 7979, 83, 53, 26242, 5803, 31, 463, 5454, 29650, 1522, 9881, 846, 6082, 26194, 31, 463, 5454, 29650, 64, 1129, 68, 998, 15745, 6104, 302, 846, 6082, 26194, 31, 463, 1129, 68, 998, 743, 204, 822, 268, 314, 828, 275, 1646, 6082, 26194, 353, 2861, 630, 275, 1136, 17, 1236, 13298, 353, 4331, 204, 268, 397, 846, 68, 998, 564, 1302, 338, 368, 31, 204, 305, 1302, 4922, 368, 204, 305, 456, 499, 3882, 13298, 4331, 1280, 204, 268, 902, 31, 204, 305, 314, 25278, 275, 1646, 6082, 26194, 311, 275, 1913, 204, 305, 397, 1302, 2167, 435, 31, 204, 485, 13298, 68, 5454, 29650, 13, 5454, 29650, 17, 846, 68, 998, 465, 368, 14, 204, 485, 456, 499, 43, 39092, 311, 275, 1913, 1280, 204, 305, 314, 25278, 275, 1646, 6082, 26194, 311, 275, 1034, 204, 305, 13298, 68, 5454, 29650, 13, 5454, 29650, 17, 1302, 14, 204, 305, 456, 499, 43, 39092, 311, 275, 1034, 1280, 204, 305, 1302, 4922, 368, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 6082, 29650, 289, 551, 23, 17, 681, 17, 887, 17, 368, 17, 571, 17, 1168, 17, 720, 66, 204, 264, 456, 499, 6238, 6082, 29650, 2180, 6082, 29650, 14, 204, 264, 6082, 26194, 68, 2975, 13, 5454, 29650, 14, 204, 264, 456, 3273, 83, 12222, 6082, 29650, 2180, 6082, 29650, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 837, 1552, 348, 1225, 311, 444, 3870, 523, 437, 726, 17, 2075, 1631, 11616, 311, 275, 726, 36, 204, 204, 673, 726, 1631, 636, 27517, 322, 3573, 292, 1502, 14, 3913, 311, 1169, 8348, 2955, 19, 1058, 618, 444, 8286, 560, 275, 1581, 595, 289, 472, 73, 17, 1273, 595, 353, 275, 1225, 3870, 17, 472, 353, 275, 8348, 2955, 17, 329, 303, 353, 275, 11492, 302, 275, 726, 19, 716, 204, 837, 904, 2159, 17, 348, 1225, 311, 444, 3870, 523, 437, 726, 17, 273, 2955, 1631, 444, 6310, 311, 275, 726, 17, 329, 275, 726, 1631, 2284, 292, 275, 2945, 302, 275, 2955, 19, 334, 1690, 302, 1225, 3870, 8788, 523, 275, 6922, 302, 275, 2955, 329, 275, 1759, 1048, 928, 275, 2955, 353, 6310, 19, 716, 204, 3070, 1763, 17, 397, 872, 7915, 273, 2871, 5229, 275, 8224, 17, 1225, 353, 3870, 523, 275, 2871, 2404, 273, 2955, 322, 7941, 7915, 14, 353, 6310, 311, 275, 2871, 17, 329, 275, 2871, 6315, 292, 275, 2945, 302, 275, 2955, 19, 334, 1690, 302, 1225, 3870, 8788, 523, 1662, 5027, 872, 7915, 322, 1947, 6922, 302, 275, 2955, 14, 329, 1662, 4935, 872, 7915, 275, 2871, 322, 1947, 1759, 1048, 928, 275, 2955, 353, 6310, 789, 0, 531, 1498, 532, 783, 17, 1884, 204, 204, 676, 37071, 2108, 31, 204, 264, 320, 204, 264, 2646, 273, 12449, 1586, 440, 273, 800, 2089, 19, 204, 204, 264, 1532, 31, 204, 268, 2089, 322, 17632, 19, 33722, 330, 332, 8051, 2231, 1048, 1051, 18, 5617, 2510, 2558, 19, 204, 268, 2089, 68, 18200, 75, 322, 17632, 19, 33722, 330, 334, 2089, 292, 2550, 44779, 545, 6503, 4385, 322, 41, 23895, 789, 204, 268, 2089, 68, 43094, 322, 17632, 19, 33722, 330, 334, 1051, 18, 5617, 2355, 302, 275, 2089, 19, 204, 268, 1050, 68, 19262, 322, 1218, 64, 4739, 19, 18660, 12633, 1037, 21537, 15133, 496, 10579, 275, 2089, 19, 204, 268, 7521, 68, 19262, 322, 1218, 64, 4739, 19, 18660, 12633, 1037, 22019, 15133, 496, 770, 508, 10579, 275, 2089, 19, 204, 268, 940, 30466, 322, 2107, 330, 2266, 275, 2089, 353, 273, 940, 30466, 19, 204, 268, 24712, 322, 2107, 330, 2266, 275, 2089, 353, 273, 24712, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2089, 31, 27295, 19, 33722, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 273, 37071, 2108, 1014, 440, 273, 800, 2089, 19, 204, 204, 268, 457, 31, 204, 305, 2089, 322, 17632, 19, 33722, 330, 332, 8051, 2231, 1048, 1051, 18, 5617, 2510, 2558, 19, 204, 268, 320, 204, 268, 370, 19, 22038, 289, 2089, 204, 268, 370, 19, 22038, 68, 18200, 75, 289, 2089, 19, 633, 68, 18200, 75, 374, 204, 268, 370, 19, 22038, 68, 43094, 289, 1051, 5617, 68, 75, 13, 22038, 14, 204, 204, 268, 314, 977, 15133, 204, 268, 370, 19, 1075, 68, 19262, 31, 783, 64, 4739, 19, 18660, 12633, 66, 289, 1306, 204, 268, 370, 19, 10349, 68, 19262, 31, 783, 64, 4739, 19, 18660, 12633, 66, 289, 1306, 204, 268, 348, 1041, 68, 1827, 292, 1041, 19, 18660, 12633, 19, 40564, 68, 17745, 1293, 204, 305, 397, 12478, 13, 4739, 68, 1827, 17, 370, 19, 22038, 68, 43094, 330, 204, 485, 370, 19, 1075, 68, 19262, 19, 1223, 13, 4739, 68, 1827, 14, 204, 305, 902, 31, 204, 485, 370, 19, 10349, 68, 19262, 19, 1223, 13, 4739, 68, 1827, 14, 204, 204, 268, 314, 4347, 940, 30466, 329, 24712, 3564, 204, 268, 370, 19, 1772, 30466, 31, 1109, 289, 2381, 13, 22038, 17, 27295, 19, 4366, 21159, 14, 204, 268, 370, 19, 495, 30466, 31, 1109, 289, 2381, 13, 22038, 17, 27295, 19, 7002, 21159, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 37071, 2108, 1014, 19, 204, 268, 320, 204, 268, 2089, 68, 325, 31, 394, 289, 370, 19, 22038, 68, 633, 68, 325, 374, 204, 268, 407, 283, 7, 47803, 2108, 13, 22038, 2508, 22038, 68, 325, 9222, 204, 204, 264, 436, 2089, 68, 633, 68, 325, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 275, 2089, 311, 273, 782, 2355, 19, 204, 268, 320, 204, 268, 2089, 68, 812, 31, 1884, 289, 370, 19, 22038, 19, 633, 68, 812, 374, 204, 268, 2089, 68, 325, 31, 394, 289, 370, 806, 812, 68, 633, 68, 325, 13, 22038, 68, 812, 14, 204, 268, 407, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2089, 68, 325, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 812, 68, 633, 68, 325, 13, 812, 31, 1884, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 437, 10003, 15618, 2192, 311, 273, 782, 2355, 19, 204, 204, 268, 457, 31, 204, 305, 7588, 322, 2983, 330, 334, 10003, 15618, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 782, 2355, 302, 275, 10003, 15618, 2192, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 2510, 2661, 204, 268, 397, 1245, 13, 812, 14, 1323, 435, 31, 204, 305, 4360, 68, 417, 31, 394, 289, 7588, 64, 21, 66, 204, 305, 1824, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 22, 694, 204, 305, 1629, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 23, 694, 204, 305, 407, 283, 1954, 1735, 68, 325, 98, 463, 760, 68, 417, 98, 463, 1633, 68, 325, 2495, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 18809, 204, 268, 1677, 7588, 64, 21, 66, 564, 379, 13981, 597, 204, 305, 4344, 289, 906, 49, 14548, 64, 812, 64, 22, 2629, 204, 305, 397, 4344, 19, 417, 564, 379, 72, 597, 204, 485, 4344, 68, 417, 31, 394, 289, 1848, 19, 59, 23, 40, 64, 13981, 66, 204, 305, 902, 31, 204, 485, 4344, 68, 417, 31, 394, 289, 2665, 19, 59, 23, 56, 64, 13981, 66, 204, 305, 407, 283, 1954, 13981, 68, 417, 2495, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 42005, 2661, 204, 268, 902, 31, 204, 305, 4360, 68, 417, 31, 394, 289, 7588, 64, 21, 66, 204, 305, 2571, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 22, 694, 204, 305, 407, 283, 1954, 760, 68, 417, 98, 463, 2345, 68, 325, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2089, 204, 264, 2089, 31, 27295, 19, 33722, 289, 27295, 19, 7002, 21159, 13, 17632, 19, 49, 286, 611, 70, 2008, 27295, 19, 49, 286, 611, 71, 3063, 204, 264, 12449, 68, 1087, 31, 37071, 2108, 289, 37071, 2108, 13, 22038, 14, 204, 264, 456, 13, 4132, 68, 1087, 14, 204, 0, 647, 11609, 204, 531, 11609, 19, 1549, 532, 5453, 204, 531, 14573, 532, 13615, 204, 647, 1875, 204, 531, 1498, 532, 1535, 204, 204, 8, 4390, 2363, 6500, 204, 531, 401, 405, 19, 7590, 299, 532, 14644, 448, 906, 7590, 17, 8987, 448, 906, 71, 7762, 17, 2342, 448, 906, 2749, 204, 531, 401, 405, 532, 2193, 22203, 204, 531, 401, 405, 532, 7150, 404, 204, 531, 283, 842, 70, 68, 87, 4043, 19, 2191, 18446, 532, 2838, 18446, 204, 204, 676, 5496, 13, 6792, 19, 28886, 330, 204, 264, 320, 204, 264, 5496, 14971, 329, 1354, 6886, 19, 204, 204, 264, 1058, 850, 9713, 1104, 2758, 329, 5453, 348, 275, 16582, 1363, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1545, 31, 5453, 19, 8759, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 5496, 850, 19, 204, 204, 268, 457, 31, 204, 305, 1545, 322, 6792, 19, 8759, 330, 334, 16582, 1363, 1545, 19, 204, 268, 320, 204, 268, 370, 19, 1723, 289, 1545, 204, 268, 370, 19, 75, 842, 70, 289, 2838, 18446, 374, 204, 268, 370, 19, 2819, 289, 13615, 20526, 2819, 839, 226, 314, 6652, 273, 7450, 1104, 204, 204, 264, 1642, 6792, 19, 395, 32351, 13, 22, 17, 435, 17, 5453, 19, 23597, 2191, 19, 816, 14, 204, 264, 1642, 6792, 19, 2196, 13, 204, 268, 1340, 10374, 7590, 611, 2301, 327, 2008, 716, 268, 2342, 10374, 2749, 611, 2301, 327, 2008, 716, 268, 8987, 10374, 71, 7762, 611, 2301, 327, 534, 204, 264, 1179, 204, 264, 4470, 436, 24372, 13, 327, 17, 7773, 31, 5453, 19, 6569, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 11196, 440, 896, 1019, 497, 275, 1943, 6087, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 268, 320, 204, 268, 314, 763, 275, 575, 677, 6572, 329, 1943, 6087, 204, 268, 25300, 17, 906, 359, 17, 297, 337, 27161, 289, 2193, 22203, 13, 11721, 17, 370, 19, 2819, 14, 204, 268, 2061, 289, 370, 19, 2819, 19, 2269, 68, 389, 6758, 68, 359, 597, 906, 359, 1937, 204, 204, 268, 810, 31, 204, 305, 314, 666, 273, 11196, 440, 275, 1943, 6087, 424, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 327, 19, 75, 842, 70, 19, 671, 23605, 68, 2663, 68, 79, 1312, 13436, 13, 4621, 34, 88, 337, 27161, 17, 2061, 34, 3280, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 521, 2906, 275, 2710, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 1642, 6792, 19, 395, 32351, 13, 22, 17, 435, 17, 5453, 19, 23597, 2191, 19, 816, 14, 204, 264, 1642, 6792, 19, 2196, 13, 204, 268, 1340, 10374, 7590, 611, 2301, 2008, 716, 268, 2342, 10374, 2749, 611, 2301, 2008, 716, 268, 8987, 10374, 71, 7762, 611, 2301, 534, 204, 264, 1179, 204, 264, 4470, 436, 2745, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 630, 5909, 84, 31, 1535, 64, 325, 66, 289, 443, 17, 23038, 2042, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19305, 437, 3929, 497, 275, 1943, 6087, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 630, 5909, 84, 322, 4437, 64, 325, 1037, 334, 3929, 311, 5656, 19, 204, 305, 2042, 322, 4437, 64, 325, 1037, 6119, 1906, 19, 204, 268, 320, 204, 268, 397, 630, 5909, 84, 353, 443, 31, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 671, 23605, 499, 6, 2301, 25300, 68, 2663, 68, 269, 5909, 84, 3687, 204, 305, 407, 204, 204, 268, 314, 763, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 611, 7297, 8121, 339, 31, 2572, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 2572, 17, 588, 833, 2045, 68, 2572, 2008, 204, 204, 264, 314, 42431, 18, 5969, 1274, 3758, 204, 264, 832, 611, 1155, 1008, 4750, 5020, 19, 42574, 68, 655, 17, 588, 833, 42574, 68, 655, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 17462, 5020, 19, 42574, 68, 7682, 17, 588, 833, 42574, 68, 7682, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 42574, 17, 588, 833, 2045, 68, 42574, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 19130, 12188, 4750, 5020, 19, 12188, 68, 42574, 17, 588, 833, 12188, 68, 42574, 2008, 204, 204, 264, 314, 6761, 18, 5969, 1274, 3758, 204, 264, 832, 611, 14112, 4750, 5020, 19, 3396, 68, 655, 17, 588, 833, 3396, 68, 655, 2008, 204, 264, 832, 611, 14112, 8121, 339, 31, 3396, 68, 359, 17462, 5020, 19, 3396, 68, 7682, 17, 588, 833, 3396, 68, 7682, 2008, 204, 264, 832, 611, 14112, 8121, 339, 31, 3396, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 3396, 17, 588, 833, 2045, 68, 3396, 2008, 204, 204, 264, 314, 2221, 18, 5969, 1274, 3758, 204, 264, 832, 611, 4162, 4750, 5020, 19, 816, 68, 655, 17, 588, 833, 816, 68, 655, 2008, 204, 264, 832, 611, 4162, 8121, 339, 31, 816, 68, 359, 17462, 5020, 19, 816, 68, 7682, 17, 588, 833, 816, 68, 7682, 2008, 204, 264, 832, 611, 4162, 8121, 339, 31, 816, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 816, 17, 588, 833, 2045, 68, 816, 2008, 204, 204, 264, 314, 5898, 1274, 3758, 204, 264, 832, 611, 11596, 4750, 5020, 19, 2256, 68, 655, 17, 588, 833, 2256, 68, 655, 2008, 204, 264, 832, 611, 553, 18, 7488, 4750, 5020, 19, 553, 68, 7488, 17, 588, 833, 553, 68, 7488, 2008, 204, 264, 832, 611, 6157, 4750, 5020, 19, 6157, 17, 588, 833, 6157, 2008, 204, 264, 832, 611, 8763, 18, 6157, 4750, 5020, 19, 8763, 68, 6157, 17, 588, 833, 8763, 68, 6157, 2008, 204, 264, 832, 611, 2749, 8121, 339, 31, 42574, 68, 359, 17462, 5020, 19, 2749, 17, 588, 833, 2749, 2008, 204, 264, 832, 611, 3396, 18, 4637, 4750, 5020, 19, 3396, 68, 4637, 17, 588, 833, 3396, 68, 4637, 2008, 204, 264, 832, 611, 15114, 18, 4637, 8121, 339, 31, 15114, 68, 359, 17462, 5020, 19, 15114, 68, 4637, 17, 588, 833, 15114, 68, 4637, 2008, 204, 264, 832, 611, 3396, 18, 4637, 8121, 339, 31, 3396, 68, 359, 17462, 5020, 19, 3396, 68, 4637, 17, 588, 833, 3396, 68, 4637, 2008, 204, 264, 832, 611, 7492, 18, 4637, 8121, 325, 31, 7492, 17462, 5020, 19, 7492, 68, 4637, 17, 588, 833, 7492, 68, 4637, 2008, 204, 264, 832, 611, 1803, 4750, 5020, 19, 1803, 17, 588, 833, 1803, 2008, 204, 66, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 5696, 31, 204, 264, 436, 771, 3488, 643, 6902, 32718, 4167, 291, 48, 13, 327, 17, 7093, 31, 783, 64, 339, 648, 724, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 542, 302, 30860, 21522, 1273, 275, 1351, 302, 830, 275, 1842, 292, 275, 8577, 353, 2202, 1194, 724, 19, 204, 204, 268, 457, 31, 204, 305, 7093, 322, 1218, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 305, 724, 322, 339, 330, 334, 1351, 2689, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 21522, 440, 1351, 2202, 1194, 724, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 724, 353, 2202, 1194, 521, 1936, 311, 500, 19, 204, 268, 320, 204, 268, 314, 778, 397, 724, 353, 1097, 204, 268, 397, 724, 2186, 368, 31, 204, 305, 980, 987, 499, 80, 1631, 444, 3114, 1194, 368, 431, 204, 204, 268, 314, 977, 275, 1040, 302, 21522, 329, 275, 2158, 10873, 204, 268, 8577, 68, 765, 289, 500, 204, 268, 1824, 289, 500, 204, 268, 1351, 289, 368, 204, 204, 268, 314, 1861, 1048, 275, 458, 302, 886, 204, 268, 348, 1629, 292, 933, 13, 1796, 13, 8586, 4019, 204, 305, 314, 1716, 275, 1351, 204, 305, 1351, 10744, 7093, 64, 1633, 66, 204, 204, 305, 314, 2541, 13820, 275, 2158, 497, 275, 1824, 3119, 275, 1351, 353, 2202, 1194, 724, 204, 305, 1335, 1351, 3721, 724, 329, 1824, 2186, 1629, 31, 204, 485, 1351, 16695, 7093, 64, 1735, 66, 204, 485, 1824, 1412, 368, 204, 204, 305, 314, 1716, 275, 1040, 302, 21522, 204, 305, 314, 334, 542, 302, 21522, 9801, 630, 275, 790, 1629, 1112, 353, 322, 1633, 338, 1824, 465, 368, 14, 204, 305, 8577, 68, 765, 1412, 1629, 338, 1824, 465, 368, 204, 204, 268, 407, 8577, 68, 765, 204, 204, 204, 461, 683, 1293, 204, 264, 320, 204, 264, 18036, 297, 289, 5696, 374, 204, 264, 18036, 7093, 17, 724, 289, 551, 1003, 17, 720, 17, 435, 17, 887, 648, 1607, 204, 264, 18036, 297, 19, 920, 3488, 643, 6902, 32718, 4167, 291, 48, 13, 8586, 17, 724, 14, 204, 264, 1132, 204, 264, 320, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 42517, 822, 264, 42517, 19, 804, 2272, 13, 6182, 11241, 34, 2663, 294, 742, 19, 3668, 43695, 22775, 14, 204, 0, 461, 26415, 68, 522, 68, 270, 269, 31760, 13, 83, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2727, 886, 719, 311, 275, 800, 542, 300, 974, 275, 40183, 302, 39895, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2722, 348, 6154, 2727, 886, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 2727, 886, 719, 311, 300, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 437, 1534, 521, 353, 2202, 1194, 435, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 1097, 1534, 204, 264, 397, 508, 2381, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 83, 17, 421, 14, 521, 300, 962, 435, 31, 204, 268, 980, 987, 499, 3383, 1631, 444, 437, 1534, 3114, 1194, 368, 431, 204, 204, 264, 314, 977, 273, 1435, 311, 3550, 3234, 302, 2727, 886, 204, 264, 353, 68, 5390, 289, 551, 1021, 66, 540, 322, 83, 465, 368, 14, 226, 314, 16219, 300, 292, 275, 1435, 204, 264, 353, 68, 5390, 64, 21, 66, 289, 353, 68, 5390, 64, 22, 66, 289, 1078, 226, 314, 500, 329, 368, 529, 508, 2727, 886, 204, 204, 264, 314, 1861, 1048, 275, 1435, 329, 2434, 11929, 886, 204, 264, 348, 296, 292, 933, 13, 23, 17, 421, 13, 83, 930, 500, 19, 26, 14, 465, 368, 330, 226, 314, 11917, 13767, 719, 311, 275, 2415, 1610, 302, 300, 204, 268, 397, 353, 68, 5390, 64, 78, 744, 204, 305, 314, 5979, 10112, 302, 296, 448, 11929, 204, 305, 348, 724, 292, 933, 13, 78, 540, 296, 17, 300, 465, 368, 17, 296, 330, 204, 485, 353, 68, 5390, 64, 80, 66, 289, 1078, 204, 204, 264, 314, 455, 273, 458, 302, 2727, 886, 204, 264, 407, 551, 78, 348, 296, 292, 933, 13, 23, 17, 300, 465, 368, 14, 397, 353, 68, 5390, 64, 78, 2629, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 300, 289, 2753, 204, 264, 10788, 289, 26415, 68, 522, 68, 270, 269, 31760, 13, 83, 14, 204, 264, 456, 13, 75, 7, 19214, 886, 719, 311, 463, 83, 2829, 463, 15897, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 970, 18, 1982, 44625, 4858, 353, 273, 11258, 6893, 496, 5913, 1662, 970, 978, 9372, 36365, 28441, 1330, 3585, 353, 4675, 311, 3714, 1283, 1475, 19, 334, 4858, 5628, 35832, 1070, 970, 36365, 311, 1792, 41378, 329, 12076, 1475, 440, 273, 15001, 19, 4168, 275, 23542, 353, 11771, 17, 275, 5406, 20878, 23300, 88, 329, 275, 5658, 20878, 40352, 19, 204, 204, 673, 6137, 302, 275, 36365, 618, 444, 13171, 560, 275, 4815, 5825, 348, 437, 10495, 25441, 20878, 19, 334, 4815, 6204, 273, 20878, 18862, 440, 1163, 8035, 17, 329, 275, 5825, 5913, 496, 275, 4815, 14169, 273, 1646, 630, 273, 4153, 8035, 19, 4168, 275, 23542, 353, 11159, 17, 3585, 14474, 497, 275, 20878, 630, 5092, 4815, 311, 275, 20878, 630, 3124, 4815, 17, 12511, 275, 5406, 20878, 311, 23300, 329, 275, 5658, 20878, 311, 10889, 19, 204, 204, 673, 4815, 5825, 618, 444, 8699, 560, 275, 1581, 31, 204, 204, 53, 289, 346, 802, 322, 87, 21, 67, 23, 540, 468, 14, 540, 551, 22, 338, 322, 87, 21, 20, 87, 2246, 27, 66, 204, 204, 3663, 415, 353, 275, 7599, 4815, 17, 346, 353, 273, 3324, 17, 468, 21, 353, 275, 794, 3643, 81, 756, 3441, 17, 329, 468, 353, 275, 790, 3441, 19, 204, 204, 673, 4858, 618, 444, 13171, 292, 275, 2631, 3214, 31, 204, 204, 22, 19, 334, 970, 36365, 529, 35832, 756, 311, 1792, 41378, 17, 440, 275, 5406, 20878, 5701, 273, 5092, 4815, 19, 204, 23, 19, 4168, 275, 23542, 353, 11771, 17, 3585, 14474, 497, 275, 5406, 20878, 311, 275, 5658, 20878, 17, 12511, 275, 5406, 20878, 311, 23300, 329, 275, 5658, 20878, 311, 10889, 19, 204, 24, 19, 334, 3585, 3714, 6084, 3710, 1330, 275, 970, 36365, 874, 1936, 4815, 17, 440, 1051, 523, 275, 1824, 7659, 302, 275, 4815, 5825, 322, 87, 962, 43426, 14, 329, 1051, 523, 275, 1629, 7659, 322, 87, 1323, 43426, 789, 204, 204, 673, 970, 18, 1982, 44625, 4858, 12938, 275, 3773, 302, 29686, 329, 275, 6137, 302, 978, 9372, 5194, 19, 1547, 353, 273, 3277, 7301, 24823, 4858, 496, 618, 444, 1376, 311, 17886, 3700, 6015, 11362, 19, 716, 204, 837, 1950, 18, 40702, 36365, 17, 275, 4815, 6204, 275, 20878, 5602, 2528, 7529, 630, 3403, 11904, 3913, 311, 6015, 6126, 1702, 448, 42447, 1613, 17, 22968, 4273, 23489, 302, 275, 16419, 21694, 17, 329, 406, 13306, 45181, 87, 2083, 19, 1058, 5814, 275, 6137, 302, 25441, 36365, 1182, 3700, 1194, 496, 302, 978, 9372, 30253, 39928, 19, 15277, 25441, 1425, 34123, 2725, 2834, 21476, 17, 5268, 496, 275, 4815, 8788, 508, 2842, 523, 275, 20878, 8035, 1101, 1425, 523, 275, 11621, 292, 928, 21872, 7117, 2481, 329, 275, 1419, 2945, 302, 2652, 19, 0, 8, 21523, 560, 5959, 571, 19, 22, 19, 25, 523, 17371, 18, 7085, 18, 1258, 39285, 31, 1719, 204, 204, 531, 1907, 19, 1479, 532, 6447, 204, 204, 676, 12596, 53, 323, 1186, 1449, 53, 323, 4203, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 12596, 275, 379, 9892, 12, 1242, 311, 379, 9892, 68, 546, 12, 292, 275, 379, 53, 762, 742, 12, 570, 19, 204, 204, 264, 1058, 5420, 353, 10742, 523, 275, 379, 1207, 30, 68, 4881, 68, 46559, 29, 1258, 68, 1845, 4553, 12, 5420, 292, 275, 379, 2154, 804, 12, 740, 19, 204, 264, 320, 204, 204, 264, 314, 783, 302, 6127, 348, 808, 5420, 204, 264, 6127, 31, 458, 64, 2644, 64, 325, 17, 394, 2629, 289, 551, 204, 268, 2448, 2154, 804, 491, 379, 1207, 30, 68, 4881, 68, 46559, 29, 1258, 68, 1845, 4553, 2008, 204, 264, 2437, 204, 204, 264, 314, 783, 302, 2758, 311, 2811, 292, 808, 5420, 204, 264, 2758, 31, 458, 64, 12571, 19, 12558, 66, 289, 551, 204, 268, 314, 12596, 275, 379, 9892, 12, 1242, 311, 379, 9892, 68, 546, 12, 292, 275, 379, 53, 762, 742, 12, 570, 204, 268, 6447, 19, 32662, 1186, 13, 204, 305, 570, 68, 417, 833, 85, 762, 742, 491, 226, 314, 3746, 588, 204, 305, 3299, 68, 417, 833, 9892, 491, 226, 314, 13448, 1242, 588, 204, 305, 717, 68, 417, 833, 9892, 68, 546, 491, 226, 314, 2991, 1242, 588, 204, 268, 5334, 204, 264, 2437, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 647, 3805, 448, 1246, 204, 531, 3805, 19, 89, 6242, 19, 24237, 532, 565, 15585, 204, 204, 8, 4861, 204, 32137, 68, 25355, 289, 2470, 43, 491, 379, 44, 491, 379, 45, 491, 379, 47, 491, 379, 48, 491, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 379, 50, 491, 379, 51, 491, 379, 54, 491, 379, 58, 491, 379, 59, 491, 379, 61, 491, 379, 63, 839, 204, 37696, 28425, 289, 2552, 9658, 597, 500, 17, 379, 57, 347, 597, 368, 17, 379, 60, 336, 597, 435, 17, 379, 4167, 90, 597, 571, 17, 379, 25303, 597, 681, 17, 379, 34405, 597, 720, 17, 379, 32570, 597, 887, 98, 204, 204, 461, 636, 68, 9983, 68, 2873, 13, 2873, 68, 325, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 455, 275, 3090, 1324, 448, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 1324, 68, 325, 322, 325, 330, 334, 1324, 448, 273, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3090, 1324, 448, 273, 782, 19, 204, 264, 320, 204, 264, 407, 394, 13, 339, 13, 2873, 68, 325, 14, 338, 368, 14, 204, 204, 461, 311, 68, 29163, 68, 834, 13, 5144, 31, 1804, 14, 393, 421, 31, 204, 264, 320, 204, 264, 455, 275, 22998, 4521, 348, 273, 800, 1804, 19, 204, 204, 264, 457, 31, 204, 268, 7357, 322, 2664, 330, 334, 1804, 726, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 22998, 4521, 19, 204, 264, 320, 204, 264, 314, 4496, 275, 4521, 374, 1216, 353, 1182, 6184, 329, 16633, 204, 264, 407, 421, 13, 5144, 19, 5192, 374, 540, 3861, 14, 204, 204, 461, 2252, 68, 672, 68, 531, 68, 40296, 649, 632, 13, 672, 68, 325, 31, 394, 14, 393, 1804, 31, 204, 264, 320, 204, 264, 455, 273, 1804, 726, 497, 273, 27445, 44724, 782, 19, 204, 204, 264, 457, 31, 204, 268, 1489, 68, 325, 322, 325, 330, 334, 1489, 782, 292, 27445, 44724, 1883, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 31, 334, 1804, 726, 19, 204, 264, 320, 204, 264, 314, 4496, 394, 11708, 353, 1182, 6184, 329, 16633, 204, 264, 407, 1804, 19, 12903, 13, 672, 68, 325, 17, 11307, 62, 10, 82, 10, 73, 534, 204, 204, 461, 2252, 68, 2664, 68, 531, 68, 5144, 13, 5144, 68, 325, 31, 394, 14, 393, 1804, 31, 204, 264, 320, 204, 264, 455, 273, 1804, 726, 497, 273, 27445, 18, 6688, 18, 8141, 24723, 31, 6688, 31, 2740, 782, 19, 204, 204, 264, 457, 31, 204, 268, 7357, 68, 325, 322, 325, 330, 334, 1804, 782, 292, 27445, 18, 6688, 18, 8141, 24723, 31, 6688, 31, 2740, 1883, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 31, 334, 1804, 726, 19, 204, 264, 320, 204, 264, 314, 4496, 394, 11708, 353, 1182, 6184, 329, 16633, 204, 264, 407, 1804, 19, 12903, 13, 5144, 68, 325, 17, 11307, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 534, 204, 204, 461, 636, 68, 4994, 68, 1190, 13, 4994, 68, 1181, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 542, 322, 22, 18, 1258, 14, 348, 273, 800, 2699, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 68, 1181, 322, 325, 330, 334, 2699, 1576, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 2699, 542, 19, 204, 264, 320, 204, 264, 407, 26109, 2504, 68, 25355, 19, 998, 13, 4994, 68, 1181, 14, 465, 368, 204, 204, 461, 636, 68, 4994, 68, 1181, 13, 4994, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 1576, 348, 273, 800, 2699, 542, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 2699, 542, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2699, 1576, 19, 204, 264, 320, 204, 264, 407, 26109, 2504, 68, 25355, 64, 4994, 338, 368, 66, 204, 204, 461, 881, 68, 17960, 13, 4994, 31, 421, 17, 1324, 31, 421, 17, 2699, 68, 765, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 329, 1324, 1877, 5209, 273, 800, 542, 302, 5869, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 1419, 2699, 19, 204, 268, 1324, 322, 339, 330, 334, 1419, 1324, 19, 204, 268, 2699, 68, 765, 322, 339, 330, 334, 542, 302, 5869, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 717, 2699, 329, 1324, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1804, 726, 204, 264, 7357, 289, 1804, 13, 2873, 17, 2699, 17, 368, 14, 204, 615, 264, 314, 1255, 275, 800, 542, 302, 5869, 204, 264, 717, 68, 5144, 289, 7357, 465, 1246, 19, 3713, 34564, 13, 17960, 34, 4994, 68, 765, 14, 204, 615, 264, 314, 455, 275, 717, 2699, 329, 1324, 204, 264, 407, 717, 68, 5144, 19, 4994, 17, 717, 68, 5144, 19, 2873, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 1324, 68, 325, 289, 379, 8409, 12, 204, 264, 456, 13, 505, 68, 9983, 68, 2873, 13, 2873, 68, 325, 602, 226, 314, 3215, 31, 17371, 204, 615, 264, 7357, 289, 1804, 13, 8409, 17, 368, 17, 368, 14, 204, 264, 456, 13, 633, 68, 29163, 68, 834, 13, 5144, 602, 226, 314, 3215, 31, 2247, 2169, 41769, 2825, 1207, 204, 615, 264, 1489, 68, 325, 289, 379, 1036, 20188, 10986, 12, 204, 264, 456, 13, 1703, 68, 672, 68, 531, 68, 40296, 649, 632, 13, 672, 68, 325, 602, 226, 314, 3215, 31, 27889, 18, 3222, 18, 3222, 19074, 31, 473, 31, 473, 204, 615, 264, 7357, 68, 325, 289, 379, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 12, 204, 264, 456, 13, 1703, 68, 2664, 68, 531, 68, 5144, 13, 5144, 68, 325, 602, 226, 314, 3215, 31, 27889, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 204, 615, 264, 2699, 68, 1181, 289, 379, 43, 12, 204, 264, 456, 13, 505, 68, 4994, 68, 1190, 13, 4994, 68, 1181, 602, 226, 314, 3215, 31, 368, 204, 615, 264, 2699, 289, 368, 204, 264, 456, 13, 505, 68, 4994, 68, 1181, 13, 4994, 602, 226, 314, 3215, 31, 472, 204, 615, 264, 2699, 289, 368, 204, 264, 1324, 289, 27889, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 2699, 68, 765, 289, 1598, 204, 264, 717, 68, 4994, 17, 717, 68, 2873, 289, 881, 68, 17960, 13, 4994, 17, 1324, 17, 2699, 68, 765, 14, 204, 264, 456, 13, 75, 12, 6001, 2699, 31, 463, 1957, 68, 4994, 1522, 2991, 1324, 31, 463, 1957, 68, 2873, 3501, 226, 314, 3215, 31, 2991, 2699, 31, 368, 17, 2991, 1324, 31, 43477, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 16588, 3313, 13, 1618, 19, 3313, 330, 204, 264, 320, 204, 264, 332, 2363, 4000, 348, 275, 16588, 570, 19, 204, 264, 320, 204, 204, 264, 436, 838, 68, 17416, 13, 327, 17, 588, 31, 394, 17, 1977, 31, 394, 17, 3986, 31, 394, 289, 8897, 752, 68, 3112, 31, 394, 289, 11070, 393, 379, 33024, 597, 204, 268, 320, 204, 268, 2605, 273, 717, 5332, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 5332, 19, 204, 305, 1977, 322, 325, 330, 334, 1977, 311, 275, 5332, 19, 204, 305, 3986, 322, 325, 17, 1448, 330, 10455, 1465, 275, 5332, 19, 1243, 311, 13080, 204, 305, 752, 68, 3112, 322, 325, 17, 1448, 330, 334, 2139, 302, 275, 5332, 752, 19, 1243, 311, 13080, 204, 204, 268, 475, 31, 204, 305, 16588, 31, 334, 9932, 1966, 5332, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1510, 13, 417, 34, 417, 17, 1977, 34, 2850, 17, 3986, 34, 1270, 17, 752, 68, 3112, 34, 935, 68, 3112, 14, 204, 204, 264, 436, 636, 68, 17416, 13, 327, 17, 1276, 31, 421, 14, 393, 379, 33024, 597, 204, 268, 320, 204, 268, 4071, 273, 5332, 560, 1163, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 334, 1222, 302, 275, 5332, 19, 204, 204, 268, 475, 31, 204, 305, 16588, 31, 334, 5332, 440, 275, 1713, 1222, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 407, 370, 19, 505, 13, 359, 34, 359, 14, 204, 268, 827, 16588, 19, 9775, 31, 204, 305, 407, 443, 204, 204, 204, 676, 16588, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 273, 5332, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 5332, 19, 204, 268, 1977, 322, 325, 330, 334, 1977, 311, 275, 5332, 19, 204, 268, 3986, 322, 325, 330, 10455, 1465, 275, 5332, 19, 204, 268, 752, 68, 3112, 322, 325, 330, 334, 2139, 302, 275, 5332, 752, 19, 204, 264, 320, 204, 204, 264, 314, 12859, 18, 5903, 4408, 896, 1242, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 204, 264, 314, 4014, 302, 275, 5332, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 14, 204, 204, 264, 314, 8692, 311, 275, 5332, 204, 264, 1977, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 6386, 14, 204, 204, 264, 314, 10455, 1465, 275, 5332, 204, 264, 3986, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 14, 204, 204, 264, 314, 14153, 302, 275, 5332, 752, 204, 264, 752, 68, 3112, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 14, 204, 204, 264, 314, 5336, 4000, 348, 275, 16588, 570, 204, 264, 2828, 289, 16588, 3313, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5332, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 588, 302, 275, 5332, 19, 204, 268, 320, 204, 268, 407, 370, 19, 417, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 5332, 204, 264, 5332, 289, 16588, 19, 2856, 19, 1510, 68, 17416, 499, 5063, 16588, 528, 388, 3189, 1963, 2569, 19, 1453, 20, 17416, 431, 204, 204, 264, 314, 4491, 273, 5332, 560, 1163, 1222, 204, 264, 8781, 68, 17416, 289, 16588, 19, 2856, 19, 505, 68, 17416, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 588, 302, 275, 8781, 5332, 204, 264, 397, 8781, 68, 17416, 31, 204, 268, 456, 13, 22679, 68, 17416, 19, 417, 14, 204, 264, 902, 31, 204, 268, 456, 499, 33024, 508, 1193, 431, 204, 0, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1489, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 15902, 299, 11443, 31, 204, 264, 320, 204, 264, 2646, 273, 31080, 2556, 440, 6826, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 2556, 68, 672, 322, 672, 330, 334, 1489, 275, 2556, 867, 4489, 19, 204, 268, 31080, 68, 12100, 322, 325, 330, 2334, 7506, 3232, 311, 275, 31080, 19, 204, 268, 11965, 68, 17326, 322, 325, 330, 334, 11965, 4768, 17, 397, 1169, 19, 204, 264, 320, 204, 204, 264, 2556, 68, 672, 31, 1489, 204, 264, 31080, 68, 12100, 31, 1535, 64, 325, 66, 289, 443, 204, 264, 11965, 68, 17326, 31, 1535, 64, 325, 66, 289, 443, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 327, 19, 4723, 68, 672, 17, 1489, 330, 204, 305, 980, 987, 499, 11443, 1489, 1631, 444, 273, 1489, 726, 431, 204, 268, 397, 370, 19, 9078, 299, 68, 12100, 329, 508, 2381, 13, 327, 19, 9078, 299, 68, 12100, 17, 394, 330, 204, 305, 980, 987, 499, 16885, 299, 7506, 1631, 444, 273, 782, 431, 204, 268, 397, 370, 19, 24620, 820, 68, 17326, 329, 508, 2381, 13, 327, 19, 24620, 820, 68, 17326, 17, 394, 330, 204, 305, 980, 987, 499, 39086, 820, 4768, 1631, 444, 273, 782, 431, 204, 204, 264, 436, 1395, 68, 9078, 299, 68, 12100, 13, 327, 17, 717, 68, 12100, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 31080, 7506, 19, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 457, 31, 204, 305, 717, 68, 12100, 322, 325, 330, 334, 717, 7506, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 7506, 529, 1097, 204, 268, 397, 508, 2381, 13, 1957, 68, 12100, 17, 394, 330, 204, 305, 980, 987, 499, 16885, 299, 7506, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 9078, 299, 68, 12100, 289, 717, 68, 12100, 204, 204, 264, 436, 1395, 68, 24620, 820, 68, 17326, 13, 327, 17, 717, 68, 24620, 820, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 11965, 4768, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 24620, 820, 322, 325, 330, 334, 717, 11965, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 11965, 353, 1097, 204, 268, 397, 508, 2381, 13, 1957, 68, 24620, 820, 17, 394, 330, 204, 305, 980, 987, 499, 39086, 820, 4768, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 24620, 820, 68, 17326, 289, 717, 68, 24620, 820, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2556, 289, 15902, 299, 11443, 13, 4723, 68, 672, 34, 672, 19, 10388, 2144, 31080, 68, 12100, 1022, 6238, 2556, 431, 204, 264, 456, 13, 4723, 14, 204, 264, 2556, 19, 2045, 68, 9078, 299, 68, 12100, 499, 10510, 2556, 431, 204, 264, 456, 13, 4723, 14, 204, 264, 2556, 19, 2045, 68, 24620, 820, 68, 17326, 499, 1560, 6466, 41250, 431, 204, 264, 456, 13, 4723, 14, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 7260, 275, 2689, 311, 444, 14416, 204, 2310, 1519, 311, 2248, 496, 275, 2689, 302, 551, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 6023, 22, 6918, 22, 18, 61, 602, 448, 1504, 7881, 368, 353, 1936, 311, 9180, 53, 2422, 57, 789, 204, 204, 658, 1687, 435, 31, 3291, 14821, 311, 1855, 2902, 302, 275, 1581, 204, 3661, 469, 289, 551, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 6023, 22, 6918, 22, 18, 61, 8093, 27577, 275, 4193, 14821, 302, 1855, 2902, 4658, 10363, 13, 94, 14, 289, 322, 22, 6918, 22, 18, 61, 602, 540, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 1664, 204, 204, 658, 1687, 571, 31, 4938, 275, 2689, 302, 10363, 13, 94, 14, 448, 1504, 7881, 368, 204, 5039, 1504, 7881, 368, 17, 275, 2231, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 802, 322, 22, 18, 61, 14, 353, 292, 275, 798, 500, 20, 21, 17, 928, 353, 437, 292, 46287, 798, 19, 1785, 618, 3120, 480, 12, 46070, 2764, 677, 4090, 311, 3953, 808, 2689, 19, 204, 204, 658, 1687, 681, 31, 3291, 480, 12, 46070, 2764, 677, 4090, 204, 3661, 273, 289, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 329, 308, 289, 368, 18, 61, 19, 5512, 17, 3121, 20, 4928, 289, 313, 13, 23, 93, 18, 22, 4061, 64, 39857, 13, 93, 18, 22, 14040, 22, 66, 329, 1863, 20, 4928, 289, 338, 22, 19, 334, 2689, 302, 10363, 13, 94, 14, 448, 1504, 7881, 368, 353, 1675, 275, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 19, 204, 204, 658, 1687, 720, 31, 4938, 275, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 204, 673, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 353, 338, 57, 13, 23, 93, 18, 22, 4061, 64, 39857, 13, 93, 18, 22, 14040, 22, 66, 14416, 630, 1504, 289, 368, 17, 928, 11388, 311, 338, 57, 19, 204, 204, 658, 1687, 887, 31, 1752, 275, 2689, 302, 469, 448, 1504, 7881, 368, 204, 4592, 10363, 13, 94, 14, 289, 338, 57, 17, 572, 874, 469, 289, 318, 7218, 57, 789, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 74, 5373, 57, 10512, 0, 531, 589, 8991, 367, 532, 10297, 204, 531, 38037, 532, 20987, 17, 7661, 204, 531, 1498, 532, 1535, 204, 647, 20210, 204, 647, 690, 204, 647, 16239, 204, 647, 782, 204, 204, 676, 26946, 7545, 13, 15542, 330, 204, 264, 320, 204, 264, 2646, 273, 958, 311, 273, 1948, 5247, 824, 19, 204, 204, 264, 1058, 850, 353, 1376, 311, 2252, 275, 958, 497, 275, 26946, 1948, 5247, 4584, 19, 204, 264, 1547, 3192, 273, 2875, 1242, 17, 1758, 42841, 1479, 68, 2119, 7147, 928, 4504, 275, 9932, 18, 5903, 1948, 19, 204, 264, 320, 204, 204, 264, 34926, 1479, 68, 2119, 31, 394, 289, 7661, 13, 204, 268, 14012, 204, 268, 1724, 1022, 6001, 447, 18, 5903, 1948, 528, 204, 268, 1763, 3644, 204, 305, 388, 1707, 47, 21, 74, 61, 38, 78, 52, 78, 32993, 59, 22, 54, 78, 15901, 47, 77, 71, 44, 1697, 52, 78, 40869, 58, 95, 46, 22, 47598, 47, 30, 19, 1707, 47, 280, 11442, 78, 52, 79, 42, 23, 17797, 58, 92, 10226, 50, 24, 51, 95, 62, 88, 46, 1368, 7, 204, 305, 388, 22583, 7691, 27, 50, 5578, 93, 4495, 80, 26, 51, 95, 58, 94, 18885, 37001, 61, 51, 30073, 26, 77, 71, 60, 33101, 52, 78, 47, 94, 3912, 42, 403, 54, 19, 42, 70, 43, 21, 20420, 47, 18734, 48, 48, 9049, 46, 58, 912, 24, 94, 52, 7, 204, 305, 388, 95, 23152, 22, 3458, 73, 48, 83, 9162, 95, 47312, 18886, 63, 38976, 91, 2445, 7, 204, 268, 5334, 204, 264, 1179, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 407, 283, 7, 837, 25625, 7545, 13, 42841, 1479, 68, 2119, 2508, 327, 19, 42841, 1479, 68, 2119, 9222, 204, 204, 204, 676, 26946, 7545, 3313, 31, 204, 264, 320, 204, 264, 16318, 275, 5247, 329, 12230, 302, 26946, 5357, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 1900, 717, 5357, 329, 6767, 4449, 6399, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4583, 68, 644, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 1948, 4000, 440, 273, 4583, 896, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 204, 268, 457, 31, 204, 268, 338, 4583, 68, 644, 322, 325, 330, 334, 4583, 896, 1376, 311, 1574, 329, 6767, 5357, 19, 204, 268, 320, 204, 268, 370, 19, 4679, 68, 644, 289, 4583, 68, 644, 204, 204, 264, 436, 1900, 68, 2119, 13, 327, 17, 2143, 31, 394, 17, 24149, 68, 266, 31, 421, 289, 15644, 14, 393, 26946, 7545, 31, 204, 268, 320, 204, 268, 6071, 273, 717, 26946, 1948, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2143, 322, 325, 330, 334, 2143, 3610, 440, 275, 1948, 19, 204, 268, 338, 24149, 68, 266, 322, 339, 330, 334, 542, 302, 3331, 3119, 275, 1948, 24149, 19, 1243, 311, 15644, 322, 22, 4904, 789, 204, 204, 268, 475, 31, 204, 268, 338, 26946, 7545, 31, 334, 9932, 18, 5903, 1948, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 5735, 440, 275, 2143, 329, 14218, 690, 204, 268, 5735, 289, 463, 204, 305, 388, 4041, 559, 421, 13, 834, 19, 834, 1447, 465, 24149, 68, 266, 17, 204, 305, 388, 11629, 559, 421, 13, 834, 19, 834, 10206, 204, 305, 388, 2574, 559, 2143, 17, 204, 268, 1211, 204, 822, 268, 314, 2069, 273, 1948, 974, 275, 5735, 329, 4583, 896, 204, 268, 1948, 289, 20210, 19, 4170, 13, 8101, 17, 370, 19, 4679, 68, 644, 17, 3372, 1022, 14663, 6372, 431, 204, 822, 268, 314, 455, 275, 1948, 448, 437, 26946, 7545, 726, 204, 268, 407, 26946, 7545, 13, 42841, 1479, 68, 2119, 34, 2119, 14, 204, 204, 264, 436, 6767, 68, 2119, 13, 327, 17, 1948, 31, 394, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 11885, 437, 4449, 26946, 1948, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1948, 322, 325, 330, 334, 1948, 311, 6767, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 325, 744, 334, 2143, 3610, 440, 275, 1948, 397, 490, 677, 1097, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 12210, 275, 1948, 974, 275, 4583, 896, 204, 305, 5735, 289, 20210, 19, 5286, 13, 2119, 17, 370, 19, 4679, 68, 644, 17, 11619, 8090, 14663, 6372, 3808, 204, 305, 314, 455, 275, 2143, 497, 275, 5735, 204, 305, 407, 5735, 1166, 2574, 1339, 204, 268, 827, 20210, 19, 46930, 26362, 596, 31, 204, 305, 314, 1426, 18498, 5357, 204, 305, 407, 443, 204, 268, 827, 20210, 19, 1962, 7545, 596, 31, 204, 305, 314, 1426, 2872, 5357, 204, 305, 407, 443, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 273, 4583, 896, 204, 264, 4583, 68, 644, 289, 9434, 1541, 13, 21894, 19, 4352, 13, 1031, 19, 9601, 68, 10576, 465, 782, 19, 5931, 14, 348, 906, 292, 933, 13, 2177, 602, 204, 615, 264, 314, 666, 273, 1948, 4000, 204, 264, 1948, 68, 2754, 289, 26946, 7545, 3313, 13, 4679, 68, 644, 14, 204, 615, 264, 314, 2069, 273, 717, 1948, 204, 264, 1948, 289, 1948, 68, 2754, 19, 4776, 68, 2119, 499, 2569, 68, 816, 431, 204, 264, 456, 13, 75, 7, 24569, 1948, 31, 463, 2119, 743, 204, 615, 264, 314, 6407, 275, 1948, 204, 264, 2143, 289, 1948, 68, 2754, 19, 11174, 68, 2119, 13, 2119, 19, 42841, 1479, 68, 2119, 14, 204, 264, 456, 13, 75, 7, 11158, 1287, 2143, 31, 463, 2574, 743, 204, 0, 18597, 16897, 1737, 8052, 874, 311, 444, 13013, 17, 1422, 5252, 311, 444, 437, 12130, 302, 275, 1737, 5252, 928, 5252, 311, 678, 4354, 10350, 902, 19, 23256, 302, 275, 1737, 5252, 1856, 444, 3870, 292, 437, 32687, 329, 1216, 787, 11621, 329, 1856, 444, 15964, 19, 19054, 572, 11049, 1662, 1737, 5252, 529, 311, 444, 28500, 17, 572, 1519, 311, 3126, 2075, 1737, 5252, 529, 19, 2416, 1012, 440, 17, 9700, 292, 1169, 7365, 3667, 874, 311, 14179, 1017, 6173, 521, 4309, 717, 6173, 311, 2709, 24369, 523, 275, 2624, 19, 1058, 3210, 496, 1250, 1519, 311, 444, 6020, 523, 275, 7663, 13199, 521, 18000, 9365, 353, 4331, 348, 1475, 311, 636, 275, 2624, 3870, 19, 14207, 17, 9700, 5751, 719, 275, 21261, 4230, 1519, 311, 444, 6020, 523, 4000, 464, 6173, 329, 16675, 6173, 19, 5610, 808, 3210, 496, 848, 4703, 869, 273, 2318, 1519, 311, 636, 6020, 523, 4260, 13862, 6173, 521, 5571, 6173, 19, 4171, 798, 275, 7032, 348, 275, 1737, 5252, 928, 1519, 311, 444, 10994, 329, 30863, 6982, 19, 204, 17550, 1737, 5252, 529, 10994, 17, 1675, 275, 37145, 41, 741, 1631, 7324, 273, 36725, 302, 9700, 329, 273, 1525, 302, 848, 4703, 329, 1704, 521, 2830, 1737, 5252, 19, 1058, 1784, 5190, 1475, 273, 8615, 1216, 311, 7968, 1662, 1910, 9700, 1519, 311, 444, 6020, 523, 2075, 9365, 329, 3855, 1250, 874, 275, 855, 37497, 3600, 311, 7575, 275, 951, 880, 19, 204, 26913, 17, 808, 1525, 1784, 1340, 1475, 292, 11666, 348, 275, 951, 880, 292, 273, 23636, 329, 2590, 6183, 685, 11621, 19, 3065, 353, 3161, 7857, 3237, 329, 496, 21668, 311, 275, 17596, 302, 1737, 5252, 3870, 560, 9700, 329, 1017, 21051, 19, 334, 917, 3237, 353, 496, 275, 2824, 5252, 496, 529, 10994, 560, 275, 21051, 4230, 444, 1792, 497, 3153, 28827, 6839, 560, 275, 9700, 19, 18911, 17, 273, 10602, 4249, 5252, 311, 444, 3870, 928, 14977, 543, 1855, 1605, 329, 9321, 311, 275, 1525, 14511, 4166, 19, 204, 673, 4986, 7857, 353, 1330, 275, 1737, 5252, 529, 2423, 1491, 329, 275, 1352, 302, 22383, 348, 275, 2641, 951, 880, 7036, 19, 334, 37145, 41, 741, 1631, 732, 275, 1525, 302, 5252, 311, 7260, 3153, 496, 529, 19686, 440, 275, 32043, 10683, 329, 7324, 273, 2423, 458, 302, 1737, 5252, 496, 618, 444, 16644, 756, 311, 275, 21051, 348, 1017, 21561, 19, 3065, 529, 1910, 1818, 329, 18795, 22262, 8033, 292, 808, 1352, 2404, 302, 275, 841, 38823, 20086, 496, 529, 2323, 311, 32043, 8908, 329, 32043, 6137, 19, 6917, 808, 17, 275, 1737, 8052, 1631, 444, 4285, 928, 1784, 1995, 1605, 1737, 5252, 329, 1784, 444, 275, 31647, 14629, 348, 2641, 4616, 275, 1737, 5252, 329, 4979, 34093, 1475, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 18226, 17, 1737, 5252, 10140, 497, 7365, 311, 7365, 329, 497, 4703, 311, 4703, 19, 3065, 353, 1236, 917, 292, 4461, 830, 9700, 26935, 24574, 951, 880, 329, 630, 275, 1729, 690, 17, 1422, 353, 275, 1519, 311, 951, 830, 9700, 523, 275, 6173, 496, 1250, 1519, 311, 770, 1017, 2624, 2590, 19, 4087, 17, 275, 37145, 41, 741, 1631, 444, 7588, 925, 311, 11506, 808, 48850, 8573, 329, 15775, 1017, 24443, 329, 5384, 302, 275, 8642, 5814, 275, 2712, 1283, 2707, 1737, 8052, 329, 3153, 496, 479, 12639, 329, 753, 7772, 1017, 2501, 1924, 19, 204, 837, 11144, 17, 1737, 353, 273, 4802, 7857, 302, 1169, 2624, 329, 15775, 17, 275, 37145, 41, 3263, 292, 12488, 1631, 2761, 5256, 6005, 329, 6183, 311, 275, 1352, 19, 11917, 1273, 1422, 353, 273, 15964, 3478, 292, 2481, 311, 951, 9700, 5575, 311, 1017, 5252, 329, 275, 13174, 302, 1605, 5252, 440, 32043, 10683, 1784, 4897, 3597, 5634, 348, 275, 12488, 19, 204, 24133, 15040, 14949, 322, 31126, 14, 353, 437, 11975, 23364, 17434, 440, 275, 11676, 302, 9530, 2459, 329, 24490, 1225, 27748, 17634, 440, 3073, 311, 11031, 17, 7249, 311, 3126, 17, 12283, 2908, 6842, 523, 1910, 6294, 3232, 7993, 19, 204, 31126, 3384, 34043, 13861, 19239, 329, 18081, 1415, 2390, 275, 1666, 348, 275, 23364, 19, 1785, 42913, 5438, 311, 2077, 3384, 448, 338, 502, 11154, 701, 12335, 19, 2416, 22133, 1182, 17, 4974, 523, 14614, 15167, 19, 204, 23513, 6294, 7345, 2343, 30805, 15641, 440, 7249, 311, 3126, 17, 11031, 447, 26417, 3100, 6500, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 8632, 532, 8204, 204, 531, 9229, 19, 20401, 532, 30199, 448, 10483, 204, 204, 676, 12001, 31, 204, 264, 320, 204, 264, 2646, 273, 2852, 292, 273, 346, 2139, 2548, 19, 204, 204, 264, 1532, 31, 204, 268, 2049, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 2049, 19, 204, 268, 7480, 68, 1190, 322, 339, 330, 334, 7480, 542, 302, 275, 2852, 19, 204, 268, 1007, 68, 1190, 322, 339, 330, 334, 1007, 542, 302, 275, 2852, 19, 204, 268, 42792, 322, 40, 3753, 14675, 657, 330, 334, 42792, 726, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 42792, 31, 379, 40, 3753, 14675, 657, 491, 2049, 68, 998, 31, 421, 17, 7480, 68, 1190, 31, 421, 17, 1007, 68, 1190, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 12001, 726, 19, 204, 204, 268, 457, 31, 204, 305, 42792, 322, 40, 3753, 14675, 657, 330, 334, 42792, 726, 19, 204, 305, 2049, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 2049, 19, 204, 305, 7480, 68, 1190, 322, 339, 330, 334, 7480, 542, 302, 275, 2852, 19, 204, 305, 1007, 68, 1190, 322, 339, 330, 334, 1007, 542, 302, 275, 2852, 19, 204, 268, 320, 204, 268, 370, 19, 20110, 657, 289, 42792, 204, 268, 370, 19, 2029, 68, 998, 289, 2049, 68, 998, 204, 268, 370, 19, 11403, 68, 1190, 289, 7480, 68, 1190, 204, 268, 370, 19, 1054, 68, 1190, 289, 1007, 68, 1190, 204, 204, 264, 436, 636, 68, 11403, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 7480, 542, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 7480, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 11403, 68, 1190, 204, 204, 264, 436, 636, 68, 1054, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1007, 542, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1007, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1054, 68, 1190, 204, 204, 264, 436, 636, 68, 553, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 2049, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 2049, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 2049, 1112, 353, 2872, 19, 204, 268, 320, 204, 268, 397, 370, 19, 2029, 68, 998, 962, 500, 31, 204, 305, 980, 987, 499, 1962, 2049, 1112, 431, 204, 268, 407, 370, 19, 20110, 657, 19, 505, 68, 2029, 13, 327, 19, 2029, 68, 998, 14, 204, 204, 264, 436, 636, 68, 3366, 13, 327, 14, 393, 1884, 64, 325, 17, 421, 17, 421, 744, 204, 268, 320, 204, 268, 475, 275, 2852, 448, 273, 927, 302, 2049, 17, 1007, 542, 17, 329, 7480, 542, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 325, 17, 421, 17, 421, 744, 334, 2852, 19, 204, 268, 320, 204, 268, 407, 322, 327, 19, 505, 68, 553, 2144, 370, 19, 505, 68, 1054, 2144, 370, 19, 505, 68, 11403, 1447, 204, 204, 264, 436, 589, 340, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 3114, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 3114, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 3721, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 8636, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 3114, 1194, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 3114, 1194, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 1323, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 280, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 2202, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 2202, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 2186, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 10477, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 2202, 1194, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 2202, 1194, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 962, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 11642, 889, 327, 17, 904, 31, 726, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 1386, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 2123, 17, 12001, 330, 204, 305, 407, 9719, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 564, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 656, 889, 327, 17, 904, 31, 726, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 508, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 1386, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 508, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 2123, 17, 12001, 330, 204, 305, 407, 9719, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 2167, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 782, 2355, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 505, 68, 553, 374, 10829, 327, 19, 505, 68, 1054, 29260, 204, 204, 204, 676, 346, 3753, 14675, 657, 31, 204, 264, 320, 204, 264, 2646, 275, 42792, 19, 204, 204, 264, 1532, 31, 204, 268, 13067, 322, 1218, 64, 325, 1037, 334, 458, 302, 13067, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 13067, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 1865, 273, 717, 346, 3753, 14675, 657, 726, 19, 204, 204, 268, 457, 31, 204, 305, 13067, 322, 1218, 64, 325, 1037, 334, 458, 302, 13067, 19, 204, 268, 320, 204, 268, 370, 19, 17025, 289, 13067, 204, 204, 264, 436, 636, 68, 2029, 13, 327, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 2049, 630, 275, 800, 1112, 19, 204, 204, 268, 457, 31, 204, 305, 1112, 322, 339, 330, 334, 1112, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 2049, 19, 204, 268, 320, 204, 268, 407, 370, 19, 17025, 64, 998, 66, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 458, 302, 13067, 204, 264, 13067, 289, 3134, 553, 22, 19, 72, 528, 388, 553, 23, 19, 72, 528, 388, 553, 24, 19, 72, 1339, 204, 204, 264, 314, 666, 273, 346, 3753, 14675, 657, 726, 204, 264, 42792, 289, 346, 3753, 14675, 657, 13, 17025, 14, 204, 204, 264, 314, 666, 273, 12001, 726, 204, 264, 2852, 289, 12001, 13, 20110, 657, 17, 500, 17, 931, 17, 720, 14, 204, 204, 264, 314, 1198, 275, 2852, 204, 264, 456, 13, 3366, 14, 204, 204, 264, 314, 1198, 275, 2049, 204, 264, 456, 13, 3366, 19, 505, 68, 553, 1447, 204, 204, 264, 314, 1198, 275, 1007, 542, 204, 264, 456, 13, 3366, 19, 505, 68, 1054, 1447, 204, 204, 264, 314, 1198, 275, 7480, 542, 204, 264, 456, 13, 3366, 19, 505, 68, 11403, 1447, 204, 0, 647, 3238, 204, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 15397, 204, 647, 15397, 19, 13558, 448, 8112, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 17, 40294, 10300, 23834, 204, 647, 2010, 448, 645, 204, 531, 15397, 532, 1094, 204, 204, 8, 968, 3454, 204, 13342, 68, 10710, 68, 2956, 289, 5737, 204, 12889, 68, 10710, 68, 2956, 289, 7328, 204, 8004, 68, 10710, 68, 2956, 289, 7328, 204, 5551, 68, 14710, 289, 5106, 204, 3707, 46, 16010, 289, 2468, 204, 18290, 68, 9572, 289, 500, 19, 22, 204, 49, 23, 68, 13712, 29718, 26056, 289, 500, 19, 37425, 204, 204, 461, 1137, 68, 481, 13, 481, 68, 1217, 31, 394, 17, 3204, 31, 8112, 19, 16612, 14, 393, 15397, 19, 8271, 19, 3873, 22881, 31, 204, 264, 320, 204, 264, 1385, 275, 1485, 497, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 1485, 19, 204, 268, 3204, 322, 13558, 19, 16612, 330, 334, 6220, 311, 3120, 311, 275, 424, 19, 204, 204, 264, 475, 31, 204, 268, 15397, 19, 8271, 19, 3873, 22881, 31, 334, 3271, 1485, 19, 204, 264, 320, 204, 264, 407, 15397, 19, 8271, 19, 3873, 22881, 13, 481, 68, 1217, 17, 3204, 34, 4072, 14, 204, 204, 461, 838, 68, 481, 68, 24957, 13, 2182, 31, 15397, 19, 8271, 19, 3873, 22881, 17, 951, 68, 2884, 68, 835, 31, 421, 17, 1097, 68, 2884, 68, 835, 31, 421, 17, 683, 68, 2884, 68, 835, 31, 421, 14, 393, 322, 10535, 17, 8641, 17, 8641, 330, 204, 264, 320, 204, 264, 666, 424, 18173, 348, 1737, 17, 3587, 17, 329, 2907, 19, 204, 204, 264, 457, 31, 204, 268, 1485, 322, 3109, 6302, 19, 8271, 19, 3873, 22881, 330, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1485, 311, 3404, 1025, 1737, 17, 3587, 17, 329, 2907, 3416, 19, 204, 268, 951, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 1737, 758, 19, 204, 268, 1097, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 3587, 758, 19, 204, 268, 683, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 2907, 758, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1737, 17, 3587, 17, 329, 2907, 424, 18173, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 1485, 1025, 1737, 17, 3587, 17, 329, 2907, 3416, 204, 264, 1485, 68, 835, 289, 1245, 13, 2182, 14, 204, 264, 3265, 289, 458, 13, 2307, 13, 2182, 68, 835, 602, 204, 264, 1097, 68, 835, 289, 421, 13, 1123, 19, 11062, 13, 21, 19, 23, 540, 1485, 68, 835, 602, 204, 264, 683, 68, 835, 289, 421, 13, 1123, 19, 11062, 13, 21, 19, 22, 540, 1485, 68, 835, 602, 204, 264, 951, 68, 835, 289, 1485, 68, 835, 338, 1097, 68, 835, 338, 683, 68, 835, 204, 204, 264, 645, 19, 2017, 19, 12446, 13, 3992, 14, 204, 264, 951, 68, 3992, 289, 3265, 2022, 1219, 68, 835, 66, 204, 264, 1097, 68, 3992, 289, 3265, 64, 1219, 68, 835, 31, 1219, 68, 835, 465, 1097, 68, 835, 66, 204, 264, 683, 68, 3992, 289, 3265, 64, 1219, 68, 835, 465, 1097, 68, 835, 5853, 204, 204, 264, 314, 666, 424, 1533, 1016, 375, 329, 18173, 204, 264, 951, 68, 22989, 289, 40294, 10300, 23834, 13, 1219, 68, 3992, 14, 204, 264, 1097, 68, 22989, 289, 40294, 10300, 23834, 13, 1018, 68, 3992, 14, 204, 264, 683, 68, 22989, 289, 40294, 10300, 23834, 13, 804, 68, 3992, 14, 204, 204, 264, 951, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 1219, 68, 22989, 17, 2068, 68, 835, 34, 1219, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 264, 1097, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 1018, 68, 22989, 17, 2068, 68, 835, 34, 1018, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 264, 683, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 804, 68, 22989, 17, 2068, 68, 835, 34, 804, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 204, 264, 407, 951, 68, 3670, 17, 1097, 68, 3670, 17, 683, 68, 3670, 204, 204, 676, 13222, 5948, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 3277, 13222, 5266, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 2234, 13, 19965, 5948, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 4575, 22, 289, 2839, 19, 6769, 23, 73, 13, 24, 17, 887, 17, 720, 14, 204, 268, 370, 19, 5108, 289, 2839, 19, 25868, 23, 73, 13, 23, 17, 435, 14, 204, 268, 370, 19, 4575, 23, 289, 2839, 19, 6769, 23, 73, 13, 27, 17, 2247, 17, 720, 14, 204, 268, 370, 19, 6586, 22, 289, 2839, 19, 6446, 13, 1845, 540, 720, 540, 720, 17, 7219, 14, 204, 268, 370, 19, 6586, 23, 289, 2839, 19, 6446, 13, 9030, 17, 13451, 14, 204, 268, 370, 19, 6586, 24, 289, 2839, 19, 6446, 13, 6304, 17, 435, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 610, 330, 204, 268, 610, 289, 370, 19, 5108, 13, 2606, 19, 14213, 19, 5723, 13, 327, 19, 4575, 22, 13, 93, 3694, 204, 268, 610, 289, 370, 19, 5108, 13, 2606, 19, 14213, 19, 5723, 13, 327, 19, 4575, 23, 13, 93, 3694, 204, 268, 610, 289, 610, 19, 1529, 2422, 22, 17, 2247, 540, 720, 540, 720, 14, 204, 268, 610, 289, 2839, 19, 14213, 19, 5723, 13, 327, 19, 6586, 22, 13, 93, 602, 204, 268, 610, 289, 2839, 19, 14213, 19, 5723, 13, 327, 19, 6586, 23, 13, 93, 602, 204, 268, 610, 289, 370, 19, 6586, 24, 13, 93, 14, 204, 268, 407, 610, 204, 204, 461, 951, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 771, 68, 7064, 31, 421, 17, 23942, 31, 421, 17, 3100, 68, 1949, 31, 818, 17, 317, 23, 68, 29266, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 974, 275, 800, 424, 18173, 329, 11848, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 348, 19, 204, 268, 23942, 322, 339, 330, 334, 542, 302, 6175, 2900, 16558, 311, 5498, 2518, 16663, 1737, 19, 204, 268, 3100, 68, 1949, 322, 996, 330, 334, 3100, 2233, 19, 204, 268, 317, 23, 68, 29266, 322, 996, 330, 334, 480, 23, 14133, 5514, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2210, 741, 329, 4209, 204, 264, 2210, 68, 2539, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 1437, 19, 4647, 19, 25247, 13, 809, 19, 3465, 2144, 10264, 34, 6859, 68, 1949, 17, 2308, 68, 11560, 34, 81, 23, 68, 29266, 14, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 2765, 68, 1018, 68, 2650, 289, 818, 611, 3643, 534, 204, 264, 348, 3741, 292, 933, 13, 920, 68, 7064, 330, 204, 268, 314, 2672, 523, 275, 1737, 758, 204, 268, 570, 19, 1219, 374, 204, 268, 348, 2068, 292, 951, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 2068, 204, 305, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 2210, 68, 2539, 13, 7247, 17, 1769, 14, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 204, 268, 314, 4938, 523, 275, 3587, 758, 204, 268, 570, 19, 6844, 374, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 1097, 68, 2650, 289, 500, 204, 268, 1706, 289, 500, 204, 268, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 305, 348, 2068, 292, 1097, 68, 3670, 31, 204, 485, 3806, 17, 1769, 289, 2068, 204, 485, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 485, 6360, 289, 570, 13, 4599, 14, 204, 485, 2210, 289, 2210, 68, 2539, 13, 7247, 17, 1769, 14, 204, 485, 1097, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 485, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 17, 368, 14, 204, 485, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 204, 268, 314, 778, 348, 4744, 16663, 204, 268, 397, 3741, 1323, 23942, 329, 1097, 68, 2650, 1323, 2765, 68, 1018, 68, 2650, 31, 204, 305, 2280, 204, 268, 2765, 68, 1018, 68, 2650, 289, 1006, 13, 6222, 68, 1018, 68, 2650, 17, 1097, 68, 2650, 14, 204, 204, 268, 456, 13, 75, 12, 15934, 463, 4220, 16, 22, 1522, 2611, 11205, 31, 463, 1018, 68, 2650, 802, 1245, 13, 1018, 68, 3670, 18475, 204, 204, 461, 683, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 683, 68, 3670, 31, 8641, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 570, 974, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 683, 19, 204, 268, 683, 68, 3670, 322, 10535, 330, 334, 2907, 424, 6707, 19, 204, 264, 320, 204, 264, 570, 19, 6844, 374, 204, 264, 683, 68, 2650, 289, 500, 204, 264, 1706, 289, 500, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 2068, 292, 683, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 2068, 204, 305, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 2839, 19, 24987, 18826, 7247, 17, 1769, 14, 204, 305, 683, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 17, 368, 14, 204, 305, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 204, 264, 456, 13, 75, 12, 2346, 11205, 31, 463, 804, 68, 2650, 802, 1245, 13, 804, 68, 3670, 18475, 204, 264, 456, 13, 75, 12, 2346, 16151, 31, 463, 4381, 802, 1245, 13, 804, 68, 3670, 19, 2182, 18475, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 273, 13222, 5266, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7064, 491, 1187, 34, 339, 17, 1540, 34, 5551, 68, 14710, 17, 1340, 833, 4290, 302, 6175, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 42561, 491, 1187, 34, 339, 17, 1540, 34, 3707, 46, 16010, 17, 1340, 833, 4290, 302, 6175, 2900, 16558, 311, 5498, 2518, 16663, 1737, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7350, 491, 1187, 34, 996, 17, 1540, 34, 18290, 68, 9572, 17, 1340, 833, 16329, 2233, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 81, 23, 491, 1187, 34, 996, 17, 1540, 34, 49, 23, 68, 13712, 29718, 26056, 17, 1340, 833, 49, 23, 14133, 5514, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1385, 275, 1485, 204, 264, 3204, 289, 8112, 19, 16612, 1568, 204, 268, 8112, 19, 10300, 26706, 35181, 2144, 204, 268, 8112, 19, 10300, 34452, 13, 1036, 659, 204, 268, 8112, 19, 22604, 2144, 204, 268, 8112, 19, 25726, 1802, 21, 19, 26, 17, 500, 19, 26, 17, 500, 19, 26, 659, 322, 21, 19, 26, 17, 500, 19, 26, 17, 500, 19, 26, 602, 204, 264, 9174, 204, 264, 1485, 289, 1137, 68, 481, 24711, 6691, 481, 20, 39161, 68, 12737, 68, 31602, 20, 1219, 574, 491, 3204, 14, 204, 204, 264, 314, 666, 424, 18173, 204, 264, 951, 68, 3670, 17, 1097, 68, 3670, 17, 683, 68, 3670, 289, 838, 68, 481, 68, 24957, 13, 2182, 17, 29147, 68, 10710, 68, 2956, 17, 31912, 68, 10710, 68, 2956, 17, 15521, 68, 10710, 68, 2956, 14, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 570, 289, 13222, 5948, 374, 204, 264, 570, 19, 6938, 374, 204, 264, 951, 68, 809, 13, 809, 17, 951, 68, 3670, 17, 1097, 68, 3670, 17, 2042, 19, 7064, 17, 2042, 19, 42561, 17, 2042, 19, 7350, 17, 2042, 19, 81, 23, 14, 204, 204, 264, 314, 1295, 275, 570, 204, 264, 683, 68, 809, 13, 809, 17, 683, 68, 3670, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 24, 204, 204, 647, 2454, 204, 647, 3238, 204, 204, 461, 1151, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 4143, 273, 510, 329, 2584, 1163, 4578, 448, 273, 458, 302, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 444, 1151, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2238, 292, 275, 510, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 329, 407, 1163, 4578, 448, 273, 458, 302, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 9872, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 1583, 508, 1337, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 9749, 68, 2604, 13, 2604, 31, 458, 64, 325, 694, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 37377, 275, 2238, 560, 13931, 388, 45, 2166, 1119, 50, 7, 440, 388, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1119, 13370, 7, 397, 275, 1007, 3192, 388, 15982, 2948, 204, 204, 264, 457, 31, 204, 268, 2238, 322, 655, 64, 325, 1037, 332, 458, 302, 2238, 311, 444, 5846, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 5846, 2238, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 311, 9749, 275, 2238, 204, 264, 407, 551, 204, 268, 388, 1119, 13370, 226, 388, 465, 1007, 64, 27, 5853, 397, 1007, 2022, 27, 66, 564, 388, 45, 2166, 1119, 50, 7, 329, 1007, 64, 2314, 31, 1036, 66, 564, 388, 15982, 7, 902, 1007, 204, 268, 348, 1007, 292, 2238, 204, 264, 2437, 204, 204, 461, 2281, 68, 553, 13, 553, 68, 546, 31, 394, 17, 2238, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 275, 5846, 2238, 311, 275, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 444, 5052, 19, 204, 268, 2238, 322, 655, 64, 325, 1037, 332, 458, 302, 2238, 311, 444, 5052, 19, 204, 204, 264, 1632, 31, 204, 268, 24838, 31, 828, 7312, 353, 18698, 311, 2281, 311, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 2281, 2291, 329, 2281, 275, 5846, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 510, 31, 204, 305, 348, 1007, 292, 2238, 31, 204, 485, 314, 3182, 275, 9733, 1943, 630, 275, 1136, 302, 848, 1007, 204, 485, 456, 13, 1054, 9128, 22, 648, 510, 34, 553, 14, 204, 264, 827, 24838, 31, 204, 268, 314, 1426, 275, 1322, 1273, 7312, 353, 18698, 204, 268, 456, 13, 75, 7, 18474, 18698, 31, 463, 553, 68, 546, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 273, 510, 17, 37653, 1163, 2238, 17, 329, 13364, 275, 5846, 2238, 1818, 311, 275, 510, 19, 204, 264, 320, 204, 264, 314, 1974, 3238, 311, 2252, 1354, 1007, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 3339, 1204, 273, 510, 560, 13931, 379, 45, 2166, 1119, 50, 12, 440, 379, 1119, 13370, 12, 397, 275, 1007, 3192, 379, 15982, 17998, 204, 264, 1732, 19, 826, 68, 2389, 499, 553, 68, 546, 528, 1340, 1022, 673, 832, 311, 275, 510, 311, 444, 5846, 1280, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1606, 275, 510, 17, 9749, 1163, 2238, 17, 329, 2281, 275, 5846, 2238, 1818, 311, 275, 510, 204, 264, 2238, 289, 1151, 68, 553, 13, 1038, 19, 553, 68, 546, 14, 204, 264, 5846, 68, 2604, 289, 9749, 68, 2604, 13, 2604, 14, 204, 264, 2281, 68, 553, 13, 1038, 19, 553, 68, 546, 17, 5846, 68, 2604, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22844, 7455, 322, 39032, 464, 19615, 14, 204, 22844, 7455, 353, 273, 26805, 464, 19615, 10395, 496, 353, 1376, 292, 13727, 17, 6893, 329, 2907, 19, 10892, 7455, 353, 437, 2086, 1273, 273, 26805, 464, 8536, 5018, 273, 26744, 3776, 311, 2280, 1051, 521, 1182, 2828, 974, 275, 6173, 13374, 336, 292, 1017, 1838, 798, 19, 334, 26744, 3776, 353, 5971, 273, 1922, 521, 273, 6789, 17, 1101, 1741, 1425, 444, 273, 283, 299, 864, 579, 17, 39020, 17, 1526, 17, 31974, 17, 13781, 6045, 280, 17, 521, 28240, 19, 334, 1901, 2323, 726, 353, 273, 6285, 302, 8525, 17, 7239, 490, 353, 1425, 2323, 311, 2280, 26574, 521, 279, 3677, 6808, 19, 204, 22844, 7455, 618, 3667, 444, 5298, 292, 724, 290, 316, 17, 3507, 2385, 28816, 2663, 329, 284, 999, 934, 8529, 269, 19, 8257, 2187, 3662, 95, 529, 1425, 3556, 348, 2668, 329, 18389, 18711, 17, 1101, 508, 830, 15128, 302, 26805, 464, 19615, 2481, 1936, 21212, 523, 490, 521, 732, 490, 19, 592, 15128, 1273, 26744, 329, 22790, 299, 529, 2202, 3287, 329, 1422, 353, 437, 21212, 523, 1065, 453, 2772, 521, 12487, 569, 17, 18711, 353, 2202, 21253, 19, 40410, 11623, 26805, 464, 1838, 8229, 2481, 5680, 17, 397, 1169, 17, 21212, 523, 2668, 18, 33914, 17, 9504, 275, 1838, 302, 18711, 2828, 867, 3556, 448, 265, 341, 32940, 92, 815, 17, 1335, 275, 3557, 6296, 302, 313, 341, 823, 30530, 391, 521, 379, 804, 15454, 12, 353, 1376, 292, 27618, 19615, 19, 204, 4654, 30870, 18711, 618, 444, 1609, 523, 28672, 23925, 17, 542, 302, 2696, 13273, 292, 273, 800, 1690, 302, 690, 17, 542, 302, 2696, 13273, 440, 273, 2875, 16606, 17, 521, 690, 311, 2280, 273, 542, 302, 2696, 19, 3065, 529, 4569, 33206, 18711, 5981, 292, 4109, 30923, 302, 2688, 5594, 1702, 448, 275, 7551, 266, 2292, 6030, 19, 592, 273, 6893, 17, 273, 26805, 464, 8536, 34123, 1704, 521, 2830, 9365, 560, 14026, 437, 4219, 1195, 90, 521, 556, 573, 84, 861, 35272, 1767, 302, 19409, 348, 437, 16056, 19, 14358, 464, 19615, 8229, 8489, 6548, 16342, 19409, 292, 1552, 311, 6061, 3566, 516, 329, 35782, 24146, 521, 15063, 19, 204, 16901, 23512, 2907, 17, 1910, 15128, 302, 26805, 464, 19615, 4426, 496, 2459, 6548, 1017, 6173, 560, 14026, 19409, 32, 275, 11447, 302, 273, 1945, 2280, 8788, 523, 275, 4849, 348, 928, 275, 2384, 353, 2907, 19, 43469, 311, 4490, 273, 1945, 2280, 353, 3667, 9133, 24115, 348, 8228, 302, 273, 23512, 683, 19, 204, 47550, 278, 19482, 529, 275, 1901, 2323, 18711, 1184, 292, 1901, 26805, 464, 19615, 17, 21812, 19482, 1376, 1741, 933, 497, 23849, 7539, 448, 2637, 448, 887, 7, 93, 1258, 7, 93, 22, 7, 311, 448, 3403, 448, 1598, 7, 93, 1258, 7, 93, 22, 7, 322, 70, 2668, 440, 273, 23849, 2198, 302, 368, 7, 869, 437, 2641, 2198, 302, 571, 20, 25, 5561, 334, 13713, 6986, 2907, 2668, 353, 5387, 931, 7, 93, 1258, 7, 93, 22, 2948, 204, 673, 19341, 302, 275, 2668, 1631, 444, 4581, 754, 448, 311, 444, 5966, 440, 275, 26744, 1922, 19, 204, 24918, 1741, 732, 15064, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 270, 329, 377, 9424, 19482, 17, 440, 681, 329, 720, 1324, 3299, 88, 8489, 18711, 19482, 448, 2637, 448, 681, 7, 93, 1258, 7, 93, 22, 20, 23, 528, 329, 1422, 529, 1425, 12686, 19482, 2927, 302, 1792, 21966, 3379, 928, 618, 10140, 275, 11447, 1870, 8033, 292, 18711, 19, 204, 3742, 1834, 3062, 3192, 8506, 17, 15048, 17, 521, 1662, 18, 633, 1666, 19, 322, 18102, 10072, 10808, 204, 837, 4303, 17, 18711, 353, 1376, 1855, 448, 273, 1216, 302, 13978, 2955, 302, 27619, 348, 26805, 464, 15286, 17, 448, 1422, 867, 1236, 904, 2501, 311, 770, 808, 329, 1698, 10547, 874, 7204, 1702, 448, 4824, 39334, 1742, 1376, 292, 26805, 464, 19615, 17, 329, 448, 273, 7654, 302, 9563, 13482, 2129, 17, 275, 7103, 302, 275, 6832, 329, 2484, 311, 20966, 19, 204, 4630, 3483, 17, 273, 26805, 464, 8536, 20176, 292, 18711, 1120, 6296, 560, 20628, 29288, 5027, 15220, 19, 32386, 312, 2103, 90, 650, 94, 8691, 17, 273, 12178, 2280, 270, 1415, 867, 3556, 348, 18711, 275, 4057, 853, 2258, 26314, 88, 17, 1784, 732, 7223, 19, 592, 724, 290, 316, 17, 273, 2322, 3250, 273, 425, 14148, 9344, 70, 353, 1376, 32, 808, 2322, 869, 1193, 1182, 7458, 732, 560, 33854, 302, 904, 26805, 464, 19615, 5319, 19, 592, 275, 5378, 17, 44543, 46680, 329, 904, 10407, 26805, 464, 15286, 1784, 732, 1910, 1792, 3003, 302, 7204, 292, 1552, 311, 2407, 7105, 17, 508, 4501, 348, 7493, 18711, 17, 1101, 974, 275, 1729, 7345, 1376, 5319, 19, 1765, 1014, 17, 1422, 353, 28031, 17265, 82, 17, 28031, 2541, 266, 17, 28031, 2541, 17121, 17, 28031, 19977, 17, 329, 904, 3003, 302, 1737, 928, 3466, 3332, 31080, 4109, 3576, 302, 275, 2484, 754, 1250, 2549, 37808, 521, 5190, 18995, 88, 1702, 448, 2075, 353, 5298, 5319, 292, 26805, 464, 19615, 18711, 19, 8624, 9619, 5194, 1425, 529, 302, 275, 3859, 302, 6183, 496, 388, 15517, 2796, 7, 521, 23988, 353, 1376, 1330, 18711, 17, 928, 353, 508, 10742, 6982, 12559, 8001, 329, 2484, 2308, 19, 204, 673, 4303, 11362, 1376, 292, 26805, 464, 19615, 18711, 1737, 353, 3557, 311, 275, 1729, 11362, 1376, 348, 1901, 14738, 1592, 1154, 19, 334, 2484, 8649, 88, 311, 7443, 19, 3065, 529, 8628, 2327, 4549, 273, 26805, 464, 19615, 2280, 270, 31880, 311, 2955, 1017, 2484, 311, 8649, 311, 31, 275, 16995, 17, 275, 7498, 322, 2960, 5792, 659, 329, 15911, 322, 1538, 1855, 3284, 329, 2969, 789, 334, 4303, 11316, 3237, 5323, 348, 1014, 17, 348, 275, 16995, 5323, 353, 1193, 292, 32001, 897, 677, 3938, 17, 928, 3584, 496, 275, 45398, 1561, 1120, 17, 1877, 21575, 17, 444, 19356, 397, 13775, 353, 4481, 311, 490, 19, 40, 321, 352, 6742, 45070, 88, 12938, 808, 7156, 1877, 18711, 1922, 292, 47192, 13978, 12790, 6096, 1675, 13978, 12790, 6096, 1877, 21575, 19, 592, 808, 11621, 275, 18711, 45172, 29233, 508, 22177, 273, 2484, 12245, 1415, 5994, 685, 440, 3093, 17, 1675, 5178, 273, 3155, 302, 3022, 311, 25494, 329, 2512, 275, 15911, 311, 3891, 1818, 19356, 19, 204, 1834, 5568, 302, 1737, 353, 3250, 388, 10404, 545, 6795, 1737, 24724, 3020, 13194, 1737, 348, 1182, 1483, 19, 26707, 6108, 292, 2484, 4147, 618, 444, 5298, 292, 275, 798, 302, 17959, 23724, 1283, 273, 18711, 45172, 329, 273, 1950, 18, 85, 829, 639, 270, 19, 34864, 791, 74, 1405, 17, 273, 21369, 2280, 270, 17, 34179, 292, 1704, 2016, 275, 1265, 302, 273, 425, 14148, 9344, 70, 329, 13781, 6045, 280, 7915, 18, 8263, 19, 5424, 13781, 6045, 280, 7915, 18, 8263, 17, 566, 29036, 4145, 523, 44068, 476, 8224, 3821, 329, 4636, 1214, 2501, 719, 311, 12939, 19, 204, 3322, 11595, 20, 60, 11595, 11462, 270, 412, 10543, 3983, 3084, 84, 17, 15592, 302, 275, 38479, 388, 22844, 7455, 5610, 26289, 528, 28534, 33854, 311, 20114, 2931, 275, 11447, 329, 1690, 302, 273, 3821, 311, 4516, 13775, 19, 2474, 10846, 496, 4959, 5483, 1856, 1012, 440, 8525, 19482, 329, 2931, 275, 1690, 448, 13862, 426, 92, 1055, 7529, 19, 13128, 273, 1870, 302, 14236, 17, 1855, 23493, 329, 37027, 17, 353, 7486, 17, 22274, 7186, 1702, 448, 12939, 618, 444, 22254, 19, 204, 2841, 529, 8820, 14453, 440, 26805, 464, 19615, 18711, 17, 754, 1051, 1856, 9605, 685, 437, 22645, 19, 3065, 529, 1910, 2637, 16995, 302, 275, 6789, 329, 1922, 928, 1519, 311, 444, 3060, 15858, 329, 16811, 2407, 336, 348, 8820, 19, 13939, 756, 7034, 311, 275, 1718, 957, 20253, 2770, 302, 275, 13781, 6045, 793, 618, 3014, 311, 2482, 3018, 3490, 440, 355, 41753, 516, 19, 204, 20900, 9790, 19, 9554, 9790, 19, 9083, 12518, 9790, 15323, 15990, 204, 97, 1834, 4446, 1583, 508, 31748, 1169, 13165, 521, 6651, 19, 322, 31532, 9300, 10808, 204, 2841, 529, 8628, 571, 34609, 302, 19409, 31, 2969, 19409, 17, 2347, 19409, 17, 329, 5571, 19409, 19, 3065, 353, 273, 681, 427, 17, 28640, 18, 4917, 17, 6980, 3556, 448, 275, 22223, 2280, 19, 204, 20900, 19409, 529, 19409, 1273, 275, 26744, 726, 353, 508, 8923, 292, 2481, 19, 334, 1698, 2501, 311, 2280, 275, 726, 353, 311, 16606, 275, 3776, 440, 9133, 2969, 630, 273, 14814, 917, 302, 5800, 19, 20410, 273, 2668, 311, 444, 13273, 353, 8923, 48541, 1283, 970, 22042, 560, 273, 1874, 32, 437, 11772, 28524, 683, 1741, 10649, 437, 4809, 311, 2280, 273, 2668, 448, 490, 14646, 1924, 275, 3585, 19, 3999, 37597, 302, 275, 8001, 302, 275, 394, 78, 3046, 17, 275, 2668, 1120, 1698, 2280, 397, 490, 353, 26988, 440, 9133, 3581, 19, 204, 12129, 1187, 302, 388, 20900, 15990, 7, 353, 496, 928, 5628, 18711, 273, 542, 302, 2828, 1048, 273, 800, 1690, 302, 690, 19, 332, 2323, 690, 9659, 353, 368, 8054, 17, 1101, 808, 618, 10140, 10625, 523, 275, 3821, 329, 24225, 19, 592, 13727, 490, 353, 3060, 2323, 348, 273, 2969, 18711, 2851, 311, 2689, 275, 690, 311, 1132, 4154, 1003, 3331, 17, 26975, 1182, 40649, 311, 18715, 19, 26289, 329, 2824, 88, 529, 12527, 3234, 302, 560, 6043, 26805, 464, 19615, 18711, 12488, 1702, 448, 275, 5481, 11595, 20, 60, 11595, 322, 32594, 5439, 329, 5179, 10892, 7455, 9825, 657, 14, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 329, 275, 10125, 30908, 322, 37683, 34324, 20669, 316, 12496, 789, 204, 17882, 19409, 529, 19409, 1273, 275, 26744, 726, 353, 6300, 19, 35172, 275, 2280, 1120, 5897, 3651, 5148, 375, 348, 5954, 17, 9955, 17, 521, 20515, 6329, 27619, 17, 521, 275, 2280, 1120, 4426, 496, 275, 2828, 444, 25417, 348, 22650, 6329, 27619, 19, 1765, 273, 25417, 2280, 275, 726, 353, 8210, 523, 406, 298, 7198, 17313, 2828, 17, 1702, 448, 12939, 6808, 17, 496, 529, 8210, 523, 275, 4410, 19, 8624, 1848, 26206, 322, 14118, 3450, 2518, 5218, 26206, 14, 23512, 2907, 19409, 529, 2347, 19409, 3217, 286, 353, 32530, 9509, 348, 437, 292, 18292, 73, 1874, 311, 1631, 270, 9133, 2796, 311, 2280, 273, 23848, 2668, 440, 273, 2347, 2280, 322, 7108, 17, 808, 353, 508, 3597, 348, 830, 19409, 789, 334, 15596, 9794, 302, 1605, 5897, 3651, 2668, 5148, 375, 19, 26707, 273, 19356, 521, 1182, 10652, 394, 78, 3046, 1741, 8776, 1429, 8001, 348, 10395, 329, 4073, 25919, 275, 2280, 19, 9496, 5594, 496, 529, 10798, 6044, 529, 348, 2347, 19409, 19, 1547, 353, 3060, 2323, 348, 5218, 26206, 4394, 311, 732, 26574, 17, 12939, 284, 2763, 6808, 17, 521, 4569, 19482, 25417, 523, 1913, 302, 17313, 2828, 348, 16342, 22650, 27619, 19, 204, 57, 10578, 19482, 529, 8489, 1376, 311, 47528, 275, 1690, 302, 3651, 8142, 497, 275, 5148, 375, 348, 273, 2280, 19, 1547, 353, 3060, 5362, 311, 5148, 273, 3194, 302, 19482, 1182, 1194, 681, 6887, 39868, 5256, 348, 16342, 2280, 19, 6263, 17, 1429, 394, 3278, 375, 1120, 16649, 273, 3194, 302, 19482, 4430, 311, 1895, 273, 388, 36820, 7, 348, 1017, 5148, 375, 311, 5148, 19, 33797, 5862, 17, 683, 19409, 630, 5516, 34513, 329, 3780, 529, 3870, 2900, 265, 10578, 19482, 19, 204, 11354, 275, 2969, 329, 2347, 19409, 10580, 275, 2796, 1945, 311, 20966, 275, 2162, 329, 12952, 288, 6971, 302, 275, 2668, 1924, 3284, 11492, 17, 1273, 275, 11459, 2796, 353, 800, 560, 368, 20, 23, 309, 15, 91, 23, 19, 7054, 353, 17, 4260, 275, 2969, 302, 275, 26744, 3288, 322, 4659, 20, 16138, 20, 23186, 14, 869, 311, 444, 2223, 5256, 17, 521, 275, 394, 78, 3046, 1631, 444, 6556, 5256, 311, 2931, 6639, 3284, 10342, 1025, 275, 2280, 322, 78, 19, 74, 19, 1704, 521, 2830, 2484, 2308, 14, 311, 15464, 275, 18389, 20, 2052, 677, 3442, 19, 1765, 2875, 19482, 17, 490, 353, 8628, 7249, 322, 402, 292, 275, 28921, 1874, 869, 273, 9133, 23816, 302, 3284, 14, 311, 5288, 808, 3442, 1924, 273, 2347, 2280, 19, 204, 673, 4986, 1216, 17, 5571, 19409, 17, 1425, 3556, 448, 388, 14148, 7, 19409, 10649, 275, 732, 302, 29520, 45792, 27619, 1698, 19, 334, 3821, 353, 5971, 6300, 17, 20566, 17, 523, 970, 10045, 19, 334, 2280, 270, 10036, 1017, 1922, 329, 31408, 275, 29520, 16606, 5573, 17, 560, 275, 732, 302, 8770, 9999, 329, 1236, 12559, 2347, 17, 7883, 275, 3821, 19, 334, 3821, 353, 13273, 560, 2796, 6728, 830, 275, 2501, 1924, 17, 292, 273, 3422, 1007, 497, 275, 29520, 17, 275, 3821, 19, 1547, 353, 1425, 1924, 273, 22376, 1864, 302, 5800, 329, 5971, 8095, 1182, 7034, 1194, 904, 27619, 19, 1058, 2280, 353, 273, 14092, 311, 26744, 273, 1874, 440, 273, 297, 4826, 19, 332, 29520, 16606, 618, 3253, 3171, 7599, 7034, 1335, 273, 38870, 17, 521, 3557, 16606, 17, 3253, 1182, 8348, 19, 11240, 17, 273, 5571, 16606, 1741, 8720, 273, 4720, 2434, 1335, 1901, 5800, 27619, 8720, 1182, 19, 2334, 1874, 302, 1169, 2523, 17, 1702, 448, 28795, 1880, 719, 311, 5074, 329, 4950, 2181, 302, 2523, 17, 618, 770, 808, 2280, 329, 6202, 24672, 8094, 562, 7105, 19, 334, 1901, 9233, 13775, 1741, 444, 273, 29520, 496, 265, 43630, 397, 275, 2280, 353, 508, 2707, 19, 15990, 88, 302, 1182, 1194, 1051, 6285, 302, 3821, 17, 3870, 440, 1236, 37536, 375, 17, 440, 808, 1216, 529, 1425, 21851, 578, 560, 1880, 302, 1169, 2523, 521, 6978, 19, 334, 4398, 2752, 630, 275, 5533, 302, 275, 1472, 5913, 361, 9026, 22308, 1652, 1486, 9584, 21013, 449, 17, 302, 275, 5946, 23386, 14358, 464, 23975, 12496, 329, 275, 1233, 427, 5746, 29200, 2541, 266, 565, 398, 12892, 8319, 17, 353, 6680, 9116, 5571, 18711, 10395, 19, 204, 31608, 44915, 1792, 17, 275, 681, 427, 5568, 302, 2280, 5323, 275, 22223, 2280, 5323, 353, 3667, 26955, 440, 273, 2969, 2280, 17, 2404, 275, 26744, 3288, 618, 322, 780, 1519, 508, 14, 5288, 273, 2223, 2969, 19, 3846, 496, 353, 1273, 275, 8027, 10045, 19, 334, 2796, 12929, 497, 437, 22223, 2280, 47832, 508, 497, 3284, 11492, 17, 1101, 497, 5054, 12929, 19, 322, 5039, 437, 12724, 5054, 14913, 273, 24991, 14, 334, 3284, 302, 275, 1922, 20, 16138, 20, 23186, 1583, 508, 5886, 3171, 5395, 1194, 3600, 311, 10580, 275, 5054, 3217, 11813, 1563, 292, 437, 12549, 8987, 3754, 440, 275, 18389, 521, 2668, 3469, 322, 402, 20580, 311, 6186, 388, 15838, 490, 3186, 329, 275, 5054, 5398, 8095, 275, 26744, 3776, 311, 12952, 329, 42297, 280, 19, 334, 2202, 21296, 275, 26744, 3776, 17, 275, 1182, 5508, 311, 2280, 19, 204, 12988, 76, 2669, 9790, 19, 794, 15031, 2669, 322, 2816, 73, 9790, 19, 794, 2816, 73, 14, 204, 97, 1834, 4446, 1583, 508, 31748, 1169, 13165, 521, 6651, 19, 322, 31532, 9300, 10808, 204, 2841, 529, 970, 3003, 302, 3536, 25417, 2668, 2557, 31, 34229, 2669, 322, 2816, 73, 14, 329, 794, 15031, 2669, 322, 350, 2816, 73, 789, 1628, 15031, 2669, 24183, 529, 1273, 3536, 2696, 529, 25417, 5104, 523, 1913, 302, 848, 904, 19, 204, 12988, 76, 2669, 24183, 529, 24183, 1273, 3536, 2696, 529, 25417, 440, 18650, 2696, 322, 31751, 13018, 311, 448, 37536, 375, 14, 1283, 1475, 17, 5971, 8525, 37536, 375, 19, 388, 3739, 15031, 2669, 7, 3194, 299, 6876, 273, 3422, 6728, 302, 11459, 2796, 329, 275, 394, 78, 3046, 1631, 6618, 7942, 2955, 3171, 6397, 1194, 437, 388, 15031, 2669, 7, 3194, 448, 275, 394, 78, 3046, 6315, 1873, 1924, 275, 20607, 1250, 529, 11969, 299, 275, 6795, 302, 848, 2668, 26925, 5976, 302, 4141, 5256, 2955, 311, 12952, 329, 2280, 437, 5641, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3194, 794, 2816, 73, 3343, 204, 1834, 353, 3913, 311, 275, 2501, 292, 928, 275, 970, 7186, 2280, 19, 18040, 17, 928, 353, 273, 4193, 9012, 26319, 1525, 17, 12952, 301, 311, 273, 4153, 5746, 2518, 490, 4940, 4691, 630, 275, 1029, 917, 19, 4168, 794, 15031, 2669, 17, 808, 6876, 348, 437, 5641, 3194, 302, 8525, 311, 12952, 6982, 5800, 17, 6465, 292, 275, 2280, 16508, 292, 275, 1552, 302, 22021, 1947, 274, 2668, 497, 5800, 311, 275, 8462, 2668, 322, 281, 42760, 273, 4628, 302, 273, 1350, 2712, 41544, 848, 2668, 17, 4461, 490, 6743, 28391, 789, 1058, 618, 444, 35875, 292, 1910, 1236, 1033, 37615, 1273, 275, 21315, 2668, 1120, 2280, 17, 1101, 275, 4017, 1913, 19482, 529, 34456, 19, 4168, 34229, 2669, 17, 275, 10602, 1283, 275, 19482, 11214, 286, 675, 848, 3509, 2668, 311, 12952, 329, 31377, 2518, 275, 1682, 2668, 353, 7486, 292, 39192, 19, 16730, 8156, 17, 523, 275, 904, 1922, 17, 529, 44881, 17, 329, 31377, 322, 276, 691, 1192, 14, 6982, 5800, 17, 440, 1236, 12952, 2086, 19, 204, 5681, 974, 273, 34229, 2669, 3440, 17, 275, 3219, 329, 47490, 302, 275, 1464, 405, 353, 6793, 19, 2001, 310, 12763, 1225, 12549, 3671, 440, 1017, 3384, 311, 4897, 496, 848, 34229, 353, 292, 2133, 2852, 329, 1120, 508, 5752, 19, 332, 34229, 496, 19676, 497, 1163, 2852, 618, 14963, 35673, 440, 275, 8926, 2280, 302, 275, 3194, 19, 828, 16957, 19311, 329, 7935, 529, 508, 4768, 17, 1464, 405, 1120, 8978, 5752, 1882, 275, 1419, 3194, 329, 5465, 302, 275, 2280, 19, 204, 1046, 6518, 284, 2763, 6808, 17, 1376, 292, 1901, 4376, 18711, 41771, 17, 4426, 275, 46877, 311, 388, 823, 1821, 7, 275, 3821, 329, 10312, 1924, 497, 1913, 311, 5533, 19, 204, 8273, 10567, 302, 7186, 292, 13727, 353, 1425, 3287, 311, 9393, 273, 4199, 8427, 311, 444, 7634, 448, 275, 542, 302, 25417, 2696, 7529, 19, 16655, 402, 273, 2689, 302, 5544, 794, 2816, 73, 284, 2763, 6808, 1741, 444, 273, 2323, 9583, 299, 917, 497, 1051, 46877, 311, 3161, 17, 273, 3194, 302, 32901, 284, 2763, 6808, 618, 1308, 1182, 2558, 2404, 302, 275, 6863, 7048, 17, 928, 1120, 15064, 275, 1242, 302, 40649, 19, 1058, 732, 302, 37536, 375, 5814, 13727, 1182, 8175, 329, 23211, 348, 40649, 329, 6320, 2471, 28546, 19, 204, 18, 388, 32594, 5439, 329, 5179, 10892, 7455, 12496, 2948, 5481, 11595, 317, 24767, 19, 12200, 10902, 18, 8265, 18, 1909, 19, 204, 18, 37884, 779, 2881, 266, 11053, 19, 388, 47009, 650, 94, 8691, 3343, 4778, 1963, 4537, 19, 11825, 779, 2881, 266, 4453, 7132, 19, 1453, 20, 88, 20483, 936, 94, 8691, 19, 27022, 204, 18, 791, 74, 1405, 17, 34864, 17, 329, 13809, 501, 19, 18410, 1486, 19, 9554, 10892, 7455, 31, 2026, 311, 19370, 329, 1974, 10892, 7455, 30805, 348, 23036, 18, 7146, 2619, 19, 204, 18, 3983, 3084, 84, 17, 412, 10543, 17, 329, 37174, 628, 668, 389, 19, 10892, 7455, 5610, 26289, 19, 11347, 19, 4778, 1963, 4537, 19, 14301, 395, 812, 1219, 880, 27085, 88, 19, 1453, 20, 29450, 10, 1036, 6188, 19, 27022, 204, 18, 552, 1156, 71, 619, 17, 6901, 19, 20669, 316, 10892, 7455, 42586, 31, 5424, 44821, 18190, 311, 23036, 18, 7146, 2619, 19, 0, 676, 3744, 8537, 22122, 3313, 31, 204, 264, 320, 204, 264, 332, 850, 311, 4204, 10242, 1019, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 881, 17, 3686, 17, 329, 4032, 10242, 1019, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1392, 955, 311, 1640, 10242, 1019, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 955, 311, 1640, 10242, 1019, 204, 268, 370, 19, 22935, 68, 1309, 31, 1135, 64, 325, 17, 726, 66, 289, 2087, 204, 204, 264, 436, 881, 68, 876, 13, 327, 17, 896, 31, 394, 17, 700, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 10242, 700, 311, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 305, 700, 322, 1386, 330, 334, 10242, 700, 19, 204, 268, 320, 204, 268, 314, 1255, 275, 10242, 700, 311, 275, 955, 204, 268, 370, 19, 22935, 68, 1309, 64, 644, 66, 289, 700, 204, 204, 264, 436, 636, 68, 876, 13, 327, 17, 896, 31, 394, 14, 393, 726, 1152, 443, 31, 204, 268, 320, 204, 268, 4071, 437, 10242, 700, 497, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 204, 268, 475, 31, 204, 305, 726, 1152, 443, 31, 334, 10242, 700, 397, 490, 2560, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 4491, 275, 10242, 700, 497, 275, 955, 204, 268, 407, 370, 19, 22935, 68, 1309, 19, 505, 13, 644, 14, 204, 204, 264, 436, 4032, 68, 876, 13, 327, 17, 896, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 437, 10242, 700, 497, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 268, 320, 204, 268, 314, 6117, 275, 10242, 700, 497, 275, 955, 397, 490, 2560, 204, 268, 397, 896, 292, 370, 19, 22935, 68, 1309, 31, 204, 305, 6924, 370, 19, 22935, 68, 1309, 64, 644, 66, 204, 204, 264, 436, 456, 68, 22935, 68, 1309, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 10242, 1019, 19, 204, 268, 320, 204, 268, 314, 1198, 830, 10242, 1019, 204, 268, 348, 896, 17, 700, 292, 370, 19, 22935, 68, 1309, 19, 1996, 1293, 204, 305, 456, 13, 75, 1954, 644, 2829, 463, 876, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 1662, 311, 732, 275, 3744, 8537, 22122, 3313, 850, 19, 204, 264, 320, 204, 264, 314, 666, 437, 1014, 302, 275, 3744, 8537, 22122, 3313, 850, 204, 264, 4000, 289, 3744, 8537, 22122, 3313, 374, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 314, 1255, 10242, 1019, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 11143, 528, 931, 14, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 16190, 528, 959, 14, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 6109, 528, 388, 22469, 7113, 431, 204, 204, 264, 314, 1198, 10242, 1019, 204, 264, 456, 499, 10951, 8537, 16516, 2212, 204, 264, 4000, 19, 2102, 68, 22935, 68, 1309, 374, 204, 204, 264, 314, 6117, 437, 10242, 700, 204, 264, 4000, 19, 2756, 68, 876, 499, 10951, 8537, 16190, 431, 204, 204, 264, 314, 1198, 4017, 10242, 1019, 204, 264, 456, 3273, 83, 42873, 3744, 8537, 16516, 2212, 204, 264, 4000, 19, 2102, 68, 22935, 68, 1309, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1040, 68, 15391, 68, 4324, 13, 920, 68, 3337, 31, 421, 17, 1348, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 7152, 292, 275, 1348, 1877, 13931, 1950, 18, 15391, 1892, 440, 7152, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 275, 1348, 19, 204, 268, 1348, 322, 655, 64, 339, 1037, 334, 537, 1348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 7152, 292, 275, 1348, 17, 521, 338, 22, 397, 830, 1842, 529, 7152, 19, 204, 264, 320, 204, 264, 314, 977, 275, 1812, 6920, 1534, 204, 264, 1812, 68, 4649, 289, 368, 204, 204, 264, 314, 1861, 1048, 275, 1348, 329, 4066, 1950, 18, 15391, 1892, 440, 7152, 204, 264, 348, 296, 292, 933, 13, 920, 68, 3337, 330, 204, 268, 314, 778, 397, 275, 790, 1103, 353, 508, 1936, 311, 275, 1812, 1534, 204, 268, 397, 1348, 64, 78, 66, 2167, 1812, 68, 4649, 31, 204, 305, 1348, 64, 78, 66, 289, 500, 204, 268, 902, 31, 204, 305, 314, 7415, 275, 1812, 1534, 397, 275, 790, 1103, 353, 6920, 204, 305, 1812, 68, 4649, 1412, 368, 204, 204, 264, 314, 3398, 275, 542, 302, 7152, 292, 275, 1348, 204, 264, 2962, 68, 765, 289, 1348, 19, 765, 13, 21, 14, 204, 204, 264, 314, 455, 338, 22, 397, 830, 1842, 529, 7152, 17, 2130, 407, 275, 2962, 1040, 204, 264, 407, 338, 22, 397, 2962, 68, 765, 564, 771, 68, 3337, 902, 2962, 68, 765, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 3596, 275, 542, 302, 1842, 329, 275, 1348, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 458, 64, 339, 2440, 332, 927, 1174, 275, 542, 302, 1842, 329, 275, 1348, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 264, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 204, 264, 314, 763, 275, 1348, 497, 275, 575, 204, 264, 1348, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 1348, 1842, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 204, 264, 407, 771, 68, 3337, 17, 1348, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 7987, 275, 1040, 68, 15391, 68, 4324, 741, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 1842, 329, 275, 1348, 497, 275, 575, 204, 264, 771, 68, 3337, 17, 1348, 289, 636, 68, 816, 68, 768, 374, 204, 204, 264, 314, 4889, 275, 1040, 68, 15391, 68, 4324, 741, 329, 456, 275, 722, 204, 264, 722, 289, 1040, 68, 15391, 68, 4324, 13, 920, 68, 3337, 17, 1348, 14, 204, 264, 456, 499, 673, 542, 302, 7152, 292, 275, 1348, 353, 2180, 722, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2164, 204, 647, 23656, 204, 647, 3238, 204, 204, 461, 4065, 68, 45676, 13, 3751, 68, 932, 31, 394, 17, 2270, 68, 1190, 31, 394, 17, 2270, 68, 765, 31, 421, 17, 1779, 68, 4830, 31, 394, 17, 7777, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8467, 24703, 497, 275, 1713, 1274, 329, 2106, 1475, 311, 273, 3221, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 2270, 68, 932, 322, 325, 330, 334, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 3930, 204, 268, 2270, 68, 1190, 322, 325, 330, 334, 2270, 542, 19, 204, 268, 2270, 68, 765, 322, 339, 330, 334, 2270, 1040, 19, 204, 268, 1779, 68, 4830, 322, 325, 330, 334, 4016, 348, 275, 1274, 19, 204, 268, 7777, 322, 873, 330, 332, 955, 4707, 2270, 3003, 311, 1017, 12428, 7777, 19, 204, 264, 320, 204, 264, 314, 666, 275, 23909, 348, 275, 2270, 204, 264, 2270, 68, 37599, 289, 283, 7, 3751, 88, 4235, 3751, 68, 932, 7449, 3751, 68, 1190, 15999, 3751, 68, 765, 2495, 204, 264, 1127, 19, 8240, 13, 3751, 68, 37599, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 264, 314, 5128, 275, 1274, 348, 275, 24703, 204, 264, 1779, 289, 283, 1954, 805, 68, 4830, 8246, 8929, 64, 3751, 68, 932, 7916, 4235, 3751, 68, 1190, 8246, 3751, 68, 1190, 15999, 3751, 68, 765, 5865, 45676, 19, 5714, 7, 204, 264, 456, 13, 75, 7, 35522, 24703, 497, 31, 463, 805, 743, 204, 204, 264, 810, 31, 204, 268, 314, 8467, 275, 24703, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 204, 268, 314, 3025, 275, 24703, 311, 273, 4337, 510, 204, 268, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3186, 388, 9220, 431, 448, 510, 31, 204, 305, 510, 19, 2206, 13, 1935, 19, 2387, 14, 204, 204, 268, 314, 1986, 275, 24703, 497, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4337, 510, 204, 268, 440, 23656, 19, 32961, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3186, 388, 87, 431, 448, 4337, 68, 3484, 31, 204, 305, 4337, 68, 3484, 19, 5184, 668, 13, 3751, 68, 37599, 14, 204, 204, 268, 314, 3182, 275, 4337, 510, 204, 268, 1127, 19, 3956, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3687, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16950, 24703, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 348, 275, 3467, 19, 204, 204, 264, 29342, 88, 275, 2631, 1354, 18, 1054, 1906, 31, 204, 264, 2270, 31, 334, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 3930, 204, 264, 2270, 920, 31, 334, 2270, 542, 19, 204, 264, 2270, 765, 31, 334, 2270, 1040, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 15695, 24703, 497, 273, 2270, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 528, 1340, 1022, 673, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 534, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 920, 528, 1340, 1022, 673, 2270, 542, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 765, 528, 1340, 1022, 673, 2270, 1040, 528, 1187, 34, 339, 14, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 968, 275, 1274, 4016, 329, 7777, 204, 264, 1779, 68, 4830, 289, 388, 3189, 1963, 23473, 23, 7129, 18, 9154, 19, 88, 24, 19, 36366, 19, 1453, 7, 204, 264, 7777, 289, 463, 204, 268, 388, 20766, 4187, 559, 388, 85, 365, 398, 266, 20, 20766, 4187, 18, 23473, 23, 7129, 18, 9154, 528, 204, 268, 388, 23473, 23, 7129, 559, 388, 23473, 23, 7129, 20, 23473, 23, 7129, 7, 204, 264, 1211, 204, 204, 264, 314, 8467, 24703, 348, 848, 2270, 1040, 204, 264, 348, 296, 292, 933, 13, 22, 17, 2042, 19, 3751, 765, 465, 368, 330, 204, 268, 4065, 68, 45676, 13, 1038, 19, 3751, 17, 2042, 19, 3751, 920, 17, 296, 17, 1779, 68, 4830, 17, 7777, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 12947, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 4123, 17, 1779, 68, 1538, 204, 531, 4433, 68, 37987, 532, 48199, 204, 647, 11088, 68, 25679, 204, 647, 1361, 204, 204, 8, 666, 273, 2082, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 6153, 275, 7450, 1727, 204, 748, 19, 1087, 1166, 20521, 68, 12450, 1339, 289, 388, 17454, 1963, 7714, 31, 35597, 20, 45691, 68, 748, 7, 204, 8946, 289, 48199, 13, 748, 14, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 18640, 424, 497, 13873, 974, 275, 11088, 68, 25679, 2413, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 18044, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 18640, 424, 497, 13873, 204, 268, 407, 11088, 68, 25679, 19, 26410, 68, 668, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 20259, 424, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1395, 68, 25679, 68, 2819, 13, 481, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 275, 13873, 68, 748, 1104, 440, 275, 18044, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 873, 330, 332, 955, 1174, 275, 18044, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1716, 275, 1104, 204, 268, 14767, 19, 1479, 19, 25679, 68, 1270, 19, 2045, 40321, 424, 17, 719, 2365, 34, 1021, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 9683, 1104, 31, 463, 74, 743, 204, 204, 37, 748, 19, 3955, 19255, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4784, 275, 1112, 2399, 440, 275, 13873, 424, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 1112, 2399, 19, 204, 264, 320, 204, 264, 314, 763, 275, 13873, 424, 497, 275, 1104, 204, 264, 28467, 68, 481, 289, 14767, 19, 1479, 19, 25679, 68, 1270, 19, 2269, 68, 389, 374, 204, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 28467, 34, 25679, 68, 481, 14, 204, 204, 37, 748, 19, 3955, 6343, 26410, 431, 204, 461, 11088, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 424, 329, 1395, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 18640, 424, 204, 264, 18044, 68, 481, 289, 11088, 68, 25679, 68, 481, 374, 204, 264, 2082, 19, 1270, 13, 75, 7, 16396, 8479, 424, 31, 463, 28446, 336, 68, 481, 743, 204, 615, 264, 314, 1716, 275, 1104, 204, 264, 1395, 68, 25679, 68, 2819, 13, 28446, 336, 68, 481, 14, 204, 615, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 13, 805, 68, 1538, 499, 998, 3186, 1576, 34, 39348, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 6431, 275, 1019, 302, 610, 292, 275, 800, 7644, 19, 204, 204, 1380, 5248, 368, 31, 204, 4377, 970, 5966, 2238, 284, 329, 3259, 17, 572, 874, 3557, 7644, 19, 1785, 618, 758, 719, 273, 5945, 311, 1020, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 700, 302, 610, 19, 204, 204, 13, 93, 465, 887, 4061, 27, 289, 322, 26, 465, 571, 4061, 24, 204, 204, 1449, 2616, 348, 610, 17, 572, 618, 4393, 18, 12651, 31, 204, 24, 13, 93, 465, 887, 14, 289, 887, 13, 29, 14, 204, 204, 17055, 275, 1581, 31, 204, 24, 93, 465, 1916, 289, 7332, 204, 204, 20946, 1916, 497, 1855, 2902, 31, 204, 24, 93, 289, 2468, 204, 204, 20367, 1855, 2902, 560, 571, 31, 204, 93, 289, 931, 204, 204, 1380, 5248, 435, 31, 204, 4377, 2327, 5966, 2238, 284, 17, 3259, 17, 329, 468, 17, 572, 618, 758, 719, 273, 3726, 1283, 275, 10812, 2902, 302, 275, 970, 18010, 19405, 31, 204, 204, 1003, 20, 26, 289, 2905, 20, 93, 204, 204, 1449, 2616, 348, 610, 17, 572, 618, 4393, 18, 12651, 31, 204, 1003, 93, 289, 2905, 540, 720, 204, 1003, 93, 289, 6787, 204, 204, 20367, 1855, 2902, 560, 931, 31, 204, 93, 289, 1168, 204, 204, 7108, 31, 334, 4986, 1844, 353, 508, 1917, 440, 9133, 1483, 311, 2616, 348, 610, 19, 0, 8, 4390, 275, 3600, 6500, 204, 531, 1907, 19, 3968, 532, 832, 204, 531, 18062, 532, 5020, 448, 18062, 68, 4280, 204, 204, 8, 968, 275, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 2221, 18, 5969, 5448, 204, 264, 832, 611, 5164, 4750, 18062, 68, 4280, 19, 2491, 9650, 266, 3244, 19, 402, 68, 1529, 2144, 588, 833, 43725, 2008, 204, 264, 832, 611, 816, 20, 5164, 4750, 18062, 68, 4280, 19, 2491, 15918, 3244, 19, 402, 68, 1529, 2144, 588, 833, 816, 5164, 2008, 204, 264, 832, 611, 816, 20, 655, 4750, 18062, 68, 4280, 19, 2491, 20728, 19, 402, 68, 1529, 2144, 588, 833, 816, 655, 2008, 204, 264, 832, 611, 816, 20, 2045, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 2491, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 816, 2045, 2008, 204, 264, 832, 611, 816, 20, 2760, 23123, 20, 2045, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 2491, 3103, 18446, 6667, 19, 402, 68, 1529, 2144, 588, 833, 816, 2760, 23123, 2045, 2008, 204, 204, 264, 314, 9657, 18, 5969, 5448, 204, 264, 832, 611, 4159, 20, 5164, 4750, 18062, 68, 4280, 19, 6536, 15918, 19, 402, 68, 1529, 2144, 588, 833, 4159, 5164, 2008, 204, 264, 832, 611, 4159, 20, 11174, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 6536, 36481, 3103, 19, 402, 68, 1529, 2144, 588, 833, 11174, 834, 2008, 204, 204, 264, 314, 10903, 18, 5969, 5448, 204, 264, 832, 611, 6270, 20, 826, 4750, 18062, 68, 4280, 19, 4421, 14846, 19, 402, 68, 1529, 2144, 588, 833, 826, 6270, 2008, 204, 264, 832, 611, 12583, 20, 655, 4750, 18062, 68, 4280, 19, 14846, 20728, 19, 402, 68, 1529, 2144, 588, 833, 655, 6270, 2008, 204, 264, 832, 611, 6270, 20, 2045, 8121, 339, 31, 6270, 68, 359, 17462, 18062, 68, 4280, 19, 14846, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 6270, 2045, 2008, 204, 204, 264, 314, 11579, 18, 5969, 5448, 204, 264, 832, 611, 2884, 20, 826, 4750, 18062, 68, 4280, 19, 9731, 4421, 19, 402, 68, 1529, 2144, 588, 833, 826, 2884, 2008, 204, 264, 832, 611, 14352, 20, 655, 4750, 18062, 68, 4280, 19, 9731, 20728, 19, 402, 68, 1529, 2144, 588, 833, 655, 2884, 2008, 204, 264, 832, 611, 2884, 20, 2045, 8121, 339, 31, 2884, 68, 359, 17462, 18062, 68, 4280, 19, 9731, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 2884, 2045, 2008, 204, 204, 264, 314, 3682, 6087, 18, 5969, 5448, 204, 264, 832, 611, 826, 20, 2760, 23123, 4750, 18062, 68, 4280, 19, 3103, 18446, 4421, 19, 402, 68, 1529, 2144, 588, 833, 826, 2760, 23123, 2008, 204, 264, 832, 611, 655, 20, 2760, 267, 2187, 4750, 18062, 68, 4280, 19, 3103, 18446, 1218, 19, 402, 68, 1529, 2144, 588, 833, 655, 2760, 267, 2187, 2008, 204, 204, 264, 314, 9067, 685, 1274, 204, 264, 832, 611, 2040, 607, 4750, 18062, 68, 4280, 19, 9650, 13074, 3244, 19, 402, 68, 1529, 2144, 588, 833, 2040, 607, 2008, 204, 66, 204, 0, 10272, 25314, 8285, 8181, 15191, 26398, 9760, 408, 8085, 2781, 11338, 15603, 1456, 3455, 17733, 2860, 13865, 8829, 408, 14765, 921, 16112, 1398, 31190, 20706, 18306, 408, 1254, 2678, 16112, 10513, 9169, 3590, 2860, 11572, 1926, 3031, 38050, 1603, 11338, 20458, 408, 34299, 20706, 18306, 28157, 26260, 13806, 1390, 10875, 2356, 3656, 568, 204, 2134, 18306, 28157, 20706, 3708, 854, 11698, 44, 3738, 5659, 2405, 4587, 408, 3571, 17784, 2114, 20706, 18306, 8706, 1227, 11338, 7780, 10026, 4004, 6848, 13387, 568, 41907, 1189, 28157, 2638, 18629, 4660, 20706, 18306, 7340, 408, 16354, 8188, 13865, 25733, 5601, 5309, 2338, 33506, 460, 27719, 1401, 568, 13191, 19147, 12990, 22926, 725, 39899, 725, 37131, 1227, 37440, 21544, 40099, 408, 2336, 12453, 854, 1984, 15463, 26785, 17784, 2114, 20706, 8706, 1432, 12256, 1990, 11530, 18629, 408, 10166, 6281, 5186, 408, 40305, 14609, 1929, 12582, 11530, 18629, 408, 28081, 26856, 6443, 408, 20706, 5784, 2338, 18306, 5784, 15493, 21574, 408, 25190, 19448, 4197, 2134, 408, 34520, 460, 7780, 10026, 36846, 4485, 19344, 408, 34097, 34940, 16112, 18938, 10166, 13491, 408, 9249, 2642, 5463, 4837, 4760, 4769, 408, 1432, 21408, 27016, 11338, 408, 9406, 10344, 12350, 408, 19120, 2638, 18629, 1689, 2494, 5137, 8792, 13256, 408, 19293, 5890, 5932, 568, 0, 15276, 26604, 23659, 408, 9789, 460, 20292, 11751, 1456, 1550, 1377, 4286, 6523, 29377, 568, 2891, 10233, 4664, 5928, 2402, 6553, 1390, 3429, 19667, 8728, 408, 9789, 1951, 1458, 1773, 22594, 13172, 1670, 1432, 16233, 12397, 12049, 20292, 568, 9536, 15276, 20429, 3730, 10531, 460, 408, 6878, 2780, 5851, 34575, 18830, 15202, 568, 204, 9789, 9531, 7363, 11751, 5673, 15444, 12816, 4762, 11329, 4264, 1572, 1116, 35801, 5459, 1111, 10444, 9304, 408, 11751, 2778, 5295, 13928, 16240, 408, 12833, 24068, 854, 2498, 9219, 460, 12037, 568, 15630, 48922, 15944, 11618, 7819, 19104, 26276, 13256, 20195, 6122, 568, 204, 9678, 23296, 11618, 7819, 19104, 26504, 29290, 3684, 7872, 408, 15630, 48922, 7819, 19104, 10943, 12833, 16392, 26276, 1984, 204, 2112, 33074, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 408, 10282, 26276, 4044, 3560, 21133, 408, 2253, 3865, 2498, 4096, 460, 25666, 16392, 26276, 3560, 9833, 13684, 1254, 3534, 10, 45586, 1227, 6304, 26276, 8345, 17922, 568, 3534, 10, 4431, 1262, 45586, 854, 19001, 28253, 1227, 25733, 20855, 40816, 408, 8695, 19001, 28253, 460, 28513, 1189, 3534, 11191, 5002, 15032, 17096, 45586, 26276, 8483, 2498, 10875, 408, 6899, 13816, 19703, 7782, 21334, 12049, 6213, 20292, 45370, 15916, 33925, 1227, 20292, 568, 6304, 26276, 8345, 854, 3183, 31490, 10000, 47634, 1227, 31490, 1971, 47634, 460, 20855, 40816, 408, 26276, 1398, 3152, 8418, 7360, 3183, 31490, 10000, 47634, 408, 3183, 31490, 10000, 47634, 2338, 3183, 31490, 10000, 17408, 2114, 6371, 3476, 408, 7744, 14655, 3976, 28374, 408, 1367, 2575, 1262, 13816, 19703, 33925, 1227, 20292, 568, 204, 10282, 11618, 7819, 19104, 2949, 5784, 14765, 1189, 15463, 3784, 46244, 33393, 4121, 13769, 4121, 11798, 5784, 408, 1603, 16392, 24047, 5490, 22245, 46349, 19104, 7858, 29926, 942, 7191, 16776, 27549, 8418, 568, 3038, 26276, 8345, 15863, 6472, 47635, 20197, 2114, 2065, 22960, 2114, 408, 38967, 2253, 9487, 22204, 1638, 7819, 19104, 39981, 408, 2860, 1689, 2860, 4076, 1456, 10150, 19104, 2949, 5784, 41136, 3944, 20197, 24267, 408, 32021, 40881, 11618, 7819, 19104, 25827, 4741, 40812, 28258, 568, 7466, 921, 26276, 8345, 3865, 1398, 9302, 1262, 19211, 5227, 2860, 47498, 3708, 2499, 7819, 19104, 12054, 460, 43986, 725, 13540, 1458, 1955, 38626, 24817, 408, 4762, 2499, 6304, 26276, 8345, 11698, 9366, 1789, 2356, 3977, 4228, 9366, 1789, 2356, 6245, 460, 25132, 12357, 28513, 3590, 4795, 36099, 408, 5651, 921, 5758, 1368, 35225, 33036, 23, 18, 26, 1368, 460, 26276, 8345, 568, 25767, 408, 2499, 24817, 460, 31616, 4574, 2860, 24851, 5227, 33036, 25132, 12357, 8345, 1191, 23078, 13397, 24, 11259, 13620, 408, 2498, 1946, 2499, 24851, 5227, 1649, 106, 5759, 4228, 1002, 22245, 2321, 408, 4239, 1603, 19104, 24851, 831, 15341, 408, 4762, 1262, 2822, 24817, 24851, 5227, 2499, 19104, 24851, 831, 15341, 408, 11153, 26276, 8345, 18816, 8056, 568, 204, 9678, 23296, 11618, 7819, 19104, 26504, 16487, 408, 15630, 48922, 7819, 19104, 1262, 6304, 26276, 8345, 26276, 22426, 16492, 42523, 11329, 408, 4945, 33848, 38967, 3865, 25867, 26327, 19104, 568, 204, 0, 21205, 299, 4009, 529, 508, 311, 444, 4768, 48541, 19, 7954, 1017, 7249, 311, 732, 28088, 329, 11018, 25443, 4230, 1895, 1475, 5111, 7399, 311, 275, 794, 21031, 756, 7724, 17, 872, 1120, 444, 29194, 448, 311, 1662, 1910, 13185, 1880, 5971, 15177, 685, 523, 1335, 19423, 329, 974, 1702, 4009, 19, 1785, 4501, 4897, 496, 18083, 329, 12292, 2828, 1856, 508, 444, 12527, 292, 275, 15558, 302, 2077, 2804, 329, 21391, 19, 4087, 5566, 770, 572, 508, 874, 275, 1729, 10733, 2292, 1330, 490, 7336, 311, 1605, 6556, 15279, 19, 204, 5399, 353, 273, 36725, 302, 2696, 496, 1519, 311, 444, 45999, 266, 5329, 2518, 4461, 1169, 29279, 31, 204, 18, 32561, 6584, 7684, 4009, 43706, 1930, 19, 25884, 4897, 496, 872, 47370, 4338, 690, 292, 1605, 353, 793, 19, 334, 1483, 496, 618, 4260, 1895, 521, 2280, 3094, 2667, 353, 4501, 523, 275, 1818, 19, 334, 6509, 1653, 302, 275, 28088, 34043, 1698, 302, 25663, 3821, 496, 353, 7784, 311, 13106, 1214, 34910, 1335, 872, 35185, 275, 43328, 19, 204, 18, 13655, 18, 35354, 3106, 375, 529, 508, 6488, 8534, 18, 35354, 5602, 872, 1151, 275, 1818, 1653, 302, 275, 1351, 19, 1547, 618, 444, 1193, 523, 1901, 302, 1475, 496, 1422, 529, 9395, 273, 4542, 2805, 1702, 448, 20942, 17, 22000, 704, 17, 20918, 15220, 329, 754, 523, 19, 204, 18, 8257, 549, 329, 595, 13221, 3106, 375, 529, 13626, 311, 1824, 18282, 523, 275, 3776, 19, 7954, 275, 588, 10846, 437, 16171, 1352, 288, 302, 2086, 17, 275, 8506, 8944, 4230, 6721, 872, 311, 8720, 275, 11576, 523, 275, 9647, 1864, 348, 931, 4112, 2518, 41673, 299, 440, 273, 25971, 521, 273, 14676, 340, 19, 204, 18, 332, 17770, 1701, 502, 26566, 3096, 37925, 50, 18944, 56, 19, 31294, 299, 15279, 618, 14963, 3014, 311, 45424, 378, 395, 1027, 19, 1765, 1014, 25207, 39609, 329, 15921, 714, 618, 4481, 685, 283, 22634, 496, 618, 3253, 5741, 19, 204, 18, 15317, 12305, 30914, 595, 15741, 501, 2863, 59, 2214, 19, 4222, 11414, 353, 1945, 348, 808, 917, 19, 3242, 572, 830, 2379, 17, 572, 1856, 6156, 2077, 7498, 497, 15279, 630, 830, 6923, 19, 28710, 1405, 21672, 7498, 8820, 11959, 6043, 311, 30063, 3094, 2667, 19, 1785, 8812, 311, 732, 2077, 8650, 523, 2077, 6587, 521, 904, 3576, 302, 2077, 2484, 1335, 16622, 19, 828, 15279, 636, 18901, 497, 2077, 22629, 8650, 311, 904, 3576, 17, 572, 529, 5508, 311, 2390, 753, 88, 2734, 329, 8926, 32002, 19, 0, 647, 34967, 3555, 26, 2898, 204, 531, 5525, 532, 20631, 17, 28974, 204, 204, 461, 5345, 68, 20052, 68, 9259, 13, 46374, 31, 421, 289, 2019, 23587, 17, 31030, 31, 421, 289, 500, 17, 6771, 31, 421, 289, 500, 14, 393, 28974, 31, 204, 264, 320, 204, 264, 977, 275, 28974, 4510, 19, 204, 204, 264, 457, 31, 204, 268, 20812, 322, 339, 330, 334, 20812, 302, 275, 28974, 4510, 19, 1243, 311, 2019, 23587, 19, 204, 268, 31030, 322, 339, 330, 334, 31030, 302, 275, 28974, 4510, 19, 1243, 311, 500, 19, 204, 268, 6771, 322, 339, 330, 334, 6771, 302, 275, 28974, 4510, 19, 1243, 311, 500, 19, 204, 204, 264, 475, 31, 204, 268, 28974, 31, 334, 9810, 28974, 4510, 19, 204, 264, 320, 204, 264, 314, 977, 275, 28974, 4510, 440, 275, 800, 2072, 204, 264, 14394, 289, 28974, 13, 22, 17, 20812, 34, 46374, 17, 31030, 34, 37135, 17, 6771, 34, 12217, 14, 204, 264, 14394, 19, 924, 374, 204, 264, 407, 14394, 204, 204, 461, 3219, 68, 18481, 3555, 26, 2898, 68, 6439, 13, 20052, 31, 28974, 17, 27865, 68, 23473, 31, 421, 289, 500, 17, 27865, 68, 4434, 31, 421, 289, 435, 14, 393, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 31, 204, 264, 320, 204, 264, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 19, 204, 204, 264, 457, 31, 204, 268, 14394, 322, 37634, 330, 334, 28974, 4510, 311, 732, 19, 204, 268, 27865, 68, 23473, 322, 339, 330, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7280, 6468, 348, 7264, 19, 1243, 311, 500, 19, 204, 268, 27865, 68, 4434, 322, 339, 330, 334, 7280, 6468, 348, 18059, 2694, 19, 1243, 311, 435, 19, 204, 204, 264, 475, 31, 204, 268, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 31, 334, 758, 719, 31906, 10330, 26, 2898, 6686, 19, 204, 264, 320, 204, 264, 314, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 440, 275, 800, 2072, 204, 264, 468, 7885, 289, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 13, 20052, 34, 20052, 17, 27865, 55, 274, 34, 20788, 68, 23473, 17, 27865, 22727, 34, 20788, 68, 4434, 14, 204, 264, 407, 468, 7885, 204, 204, 461, 2281, 68, 481, 68, 633, 68, 3530, 13, 87, 7885, 31, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 17, 1995, 31, 421, 289, 500, 93, 7085, 17, 424, 31, 3154, 289, 308, 8761, 93, 473, 65, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 93, 8619, 65, 93, 21, 70, 65, 93, 21, 71, 65, 93, 21, 72, 65, 93, 21, 73, 65, 93, 21, 74, 65, 93, 21, 75, 534, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 424, 311, 275, 2786, 19, 204, 204, 264, 457, 31, 204, 268, 468, 7885, 322, 18481, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 330, 334, 31906, 10330, 26, 2898, 6686, 311, 732, 19, 204, 268, 1995, 322, 339, 330, 334, 1995, 311, 2281, 311, 19, 1243, 311, 500, 93, 7085, 19, 204, 268, 424, 322, 3881, 330, 334, 424, 311, 2281, 19, 1243, 311, 308, 8761, 93, 473, 65, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 93, 8619, 65, 93, 21, 70, 65, 93, 21, 71, 65, 93, 21, 72, 65, 93, 21, 73, 65, 93, 21, 74, 65, 93, 21, 75, 2625, 204, 264, 320, 204, 264, 314, 1198, 8506, 311, 275, 575, 204, 264, 456, 20840, 204, 264, 456, 13, 75, 7, 17629, 2786, 2518, 6686, 311, 2281, 1995, 500, 93, 96, 2820, 31, 5559, 93, 743, 204, 264, 456, 20840, 204, 204, 264, 810, 31, 204, 268, 1335, 959, 31, 204, 305, 314, 7242, 273, 2786, 204, 305, 322, 9529, 17, 3518, 68, 932, 14, 289, 468, 7885, 19, 1443, 13, 87, 7885, 19, 29409, 1701, 49, 14, 204, 204, 305, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 485, 314, 763, 275, 2786, 677, 31435, 204, 485, 322, 9529, 17, 4793, 68, 3639, 14, 289, 468, 7885, 19, 8785, 7774, 374, 204, 204, 485, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 895, 314, 1198, 275, 2786, 677, 1483, 204, 895, 456, 499, 6001, 2786, 7675, 431, 204, 895, 456, 13, 75, 7, 226, 338, 3518, 1187, 31, 500, 93, 96, 3709, 68, 932, 31, 5559, 93, 743, 204, 895, 456, 13, 75, 7, 226, 338, 18048, 203, 1164, 500, 93, 96, 1292, 68, 3639, 64, 21, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 22, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 23, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 24, 744, 5559, 93, 743, 204, 895, 456, 20840, 204, 204, 895, 314, 5988, 275, 2786, 204, 895, 397, 468, 7885, 19, 4637, 68, 3709, 13, 1292, 68, 3639, 14, 564, 468, 7885, 19, 7444, 31, 204, 2058, 314, 16699, 275, 2786, 204, 2058, 896, 289, 308, 8761, 33109, 65, 33109, 65, 33109, 65, 33109, 65, 33109, 65, 33109, 12, 204, 2058, 397, 468, 7885, 19, 3340, 13, 87, 7885, 19, 10475, 5546, 22, 38, 17, 1995, 17, 896, 17, 4793, 68, 3639, 14, 564, 468, 7885, 19, 7444, 31, 204, 4511, 314, 3400, 275, 424, 311, 275, 2786, 204, 4511, 9161, 289, 468, 7885, 19, 2206, 13, 2820, 17, 424, 14, 204, 4511, 468, 7885, 19, 5029, 68, 23923, 22, 374, 204, 4511, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 8835, 456, 499, 989, 5052, 311, 2786, 431, 204, 4511, 902, 31, 204, 8835, 456, 499, 3504, 311, 2281, 424, 311, 2786, 431, 204, 2058, 902, 31, 204, 4511, 456, 499, 17471, 908, 431, 204, 895, 902, 31, 204, 2058, 456, 499, 3504, 311, 2694, 3518, 431, 204, 204, 264, 827, 16797, 31, 204, 268, 456, 499, 3609, 74, 431, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 977, 275, 28974, 4510, 204, 264, 14394, 289, 5345, 68, 20052, 68, 9259, 374, 204, 204, 264, 314, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 204, 264, 468, 7885, 289, 3219, 68, 18481, 3555, 26, 2898, 68, 6439, 13, 20052, 14, 204, 204, 264, 314, 3400, 424, 311, 275, 2786, 204, 264, 2281, 68, 481, 68, 633, 68, 3530, 13, 87, 7885, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 7697, 276, 26633, 46501, 204, 7, 32180, 5494, 311, 16124, 9851, 204, 7, 25728, 7716, 2077, 1233, 94, 20, 84, 677, 2501, 302, 7595, 630, 2821, 9851, 204, 1834, 740, 348, 275, 296, 27533, 353, 13379, 348, 2459, 1415, 874, 2861, 7868, 13826, 368, 302, 4508, 88, 18, 5824, 13463, 19, 204, 837, 13826, 435, 17, 275, 2384, 41549, 1662, 311, 2616, 3779, 11939, 275, 5624, 46273, 5187, 6738, 588, 353, 388, 12113, 7, 5187, 448, 2590, 448, 275, 5631, 46273, 329, 275, 4720, 11078, 19, 204, 673, 5624, 46273, 353, 437, 7843, 2090, 275, 5631, 46273, 19, 334, 700, 302, 275, 5624, 46273, 353, 275, 7283, 302, 496, 302, 275, 5631, 46273, 19, 18911, 397, 610, 289, 571, 17, 8140, 289, 338, 24, 19, 204, 4592, 1017, 1066, 353, 2962, 17, 1330, 275, 5624, 46273, 329, 275, 5631, 46273, 1336, 4430, 523, 275, 1729, 1653, 302, 275, 3948, 1250, 1741, 444, 5748, 2900, 21823, 275, 3188, 19, 204, 673, 11661, 1376, 348, 275, 5624, 46273, 353, 496, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 437, 610, 440, 273, 4393, 3520, 1924, 490, 19, 1547, 869, 275, 588, 302, 1622, 12113, 1001, 3522, 490, 13207, 2090, 273, 8140, 19, 25926, 523, 292, 275, 2548, 275, 2459, 4309, 311, 11506, 1622, 2422, 93, 14, 1001, 448, 3161, 588, 348, 8140, 19, 204, 837, 13826, 435, 2459, 4309, 311, 2616, 3779, 1702, 448, 681, 93, 16, 2422, 93, 14040, 22, 34, 23, 93, 16, 26, 329, 435, 93, 18, 2422, 93, 12884, 1258, 19, 204, 38, 2752, 11856, 353, 1917, 348, 848, 9542, 19, 322, 16014, 275, 1672, 14091, 2752, 630, 4778, 1963, 94, 607, 90, 19, 2115, 20, 59, 34996, 54, 7326, 25912, 86, 63, 92, 6268, 7616, 2752, 11856, 353, 8367, 560, 970, 6016, 329, 7496, 14696, 19, 1547, 353, 6456, 348, 275, 2384, 311, 2013, 275, 9542, 2752, 4948, 311, 18493, 275, 6016, 329, 14696, 348, 496, 9542, 19, 204, 45, 5152, 18, 5824, 13463, 353, 275, 10495, 11856, 311, 8585, 348, 20482, 329, 4876, 3859, 2459, 19, 4275, 1698, 1120, 2459, 874, 9819, 329, 444, 17963, 11013, 440, 275, 2548, 17, 1017, 7211, 302, 370, 18, 38339, 1120, 444, 27399, 24211, 448, 1250, 4699, 1978, 440, 26197, 14202, 3779, 19, 204, 17170, 3859, 2459, 28166, 440, 8585, 1120, 5508, 4699, 1978, 329, 5384, 348, 275, 1043, 690, 448, 1250, 1225, 440, 808, 740, 19, 204, 673, 2752, 6842, 348, 848, 9542, 1120, 9393, 1214, 1656, 311, 3524, 275, 1978, 329, 47863, 1250, 2080, 440, 275, 13826, 368, 740, 448, 1250, 2616, 2219, 1182, 16342, 3779, 6, 204, 13936, 1483, 523, 4508, 88, 18, 5824, 13463, 618, 444, 1193, 630, 17255, 19, 71, 573, 853, 271, 19, 1453, 329, 523, 14091, 19, 204, 18, 9815, 39285, 17, 10279, 2991, 2585, 571, 19, 27, 204, 18, 11639, 40844, 17, 10755, 2991, 2585, 571, 19, 26, 204, 18, 9923, 3139, 17, 10755, 2991, 2585, 571, 19, 25, 204, 18, 11639, 1199, 17, 10072, 2991, 2585, 571, 19, 24, 204, 18, 11639, 29184, 17, 10072, 2991, 2585, 571, 19, 23, 204, 18, 11261, 42430, 17, 10072, 10864, 2931, 31, 43863, 6, 393, 686, 24, 19, 2418, 204, 18, 11261, 39346, 17, 10072, 10864, 10574, 31, 686, 24, 19, 2418, 393, 43863, 6, 204, 18, 11047, 39285, 17, 10072, 2991, 2585, 571, 19, 22, 204, 18, 10228, 4662, 17, 10072, 2991, 2585, 571, 19, 21, 204, 18, 9402, 29184, 17, 10072, 2991, 2585, 435, 19, 22, 204, 18, 10137, 5773, 17, 10072, 2991, 2585, 435, 19, 21, 204, 18, 11261, 3528, 17, 9551, 2991, 2585, 368, 19, 29, 204, 18, 11261, 38159, 17, 9551, 2991, 2585, 368, 19, 28, 204, 18, 11047, 2153, 17, 9551, 2991, 2585, 368, 19, 27, 204, 18, 9907, 5773, 17, 9551, 2991, 2585, 368, 19, 26, 204, 18, 10228, 4662, 17, 9551, 2991, 2585, 368, 19, 25, 204, 18, 9815, 2019, 17, 9551, 2991, 2585, 368, 19, 23, 204, 18, 9815, 43763, 17, 9551, 2991, 2585, 368, 19, 22, 204, 18, 9923, 5789, 17, 9551, 807, 5367, 0, 647, 1127, 204, 647, 4845, 204, 531, 10697, 532, 23794, 17, 15758, 204, 204, 461, 11037, 68, 5154, 13, 5154, 68, 417, 31, 394, 17, 3467, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9690, 30871, 273, 4847, 3467, 974, 275, 1540, 1561, 1354, 19, 204, 204, 264, 457, 31, 204, 268, 3467, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3467, 311, 11037, 19, 204, 268, 3467, 68, 546, 322, 325, 330, 334, 832, 311, 275, 3467, 311, 11037, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 3467, 510, 1583, 508, 1337, 19, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 39255, 275, 3467, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 3467, 510, 2560, 204, 268, 397, 508, 1127, 19, 546, 19, 13226, 13, 5154, 68, 546, 330, 204, 305, 980, 3180, 13, 75, 7, 13146, 510, 3318, 5154, 68, 546, 2867, 508, 1193, 1280, 204, 204, 268, 314, 25178, 275, 3467, 974, 275, 1540, 1561, 1354, 204, 268, 4845, 19, 2960, 8031, 5207, 491, 3467, 68, 546, 694, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 39255, 3467, 31, 463, 74, 743, 204, 204, 461, 838, 68, 5154, 68, 43838, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 3277, 9841, 440, 8982, 311, 11037, 1792, 19283, 19, 204, 264, 320, 204, 264, 314, 666, 275, 667, 2158, 204, 264, 1610, 289, 23794, 374, 204, 264, 1610, 19, 1778, 499, 13146, 9690, 23546, 431, 204, 204, 264, 314, 968, 3467, 10608, 204, 264, 3467, 68, 13812, 289, 551, 204, 268, 2832, 417, 559, 388, 57, 323, 30553, 33935, 528, 388, 546, 559, 388, 8017, 364, 19, 948, 7832, 204, 268, 2832, 417, 559, 388, 57, 23993, 528, 388, 546, 559, 388, 660, 19, 948, 6669, 204, 264, 2437, 204, 204, 264, 314, 666, 8982, 348, 848, 3467, 204, 264, 348, 954, 292, 3467, 68, 13812, 31, 204, 268, 2963, 289, 15758, 13, 2125, 17, 1068, 34, 1087, 1166, 417, 2869, 1354, 34, 3605, 832, 34, 1087, 1166, 546, 8682, 11037, 68, 5154, 13, 1087, 1166, 417, 2869, 832, 602, 204, 268, 2963, 19, 3674, 13, 37560, 34, 1003, 14, 204, 204, 264, 314, 4055, 275, 667, 1643, 3546, 204, 264, 1610, 19, 14677, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 838, 68, 5154, 68, 43838, 374, 204, 0, 673, 667, 7253, 302, 808, 3200, 1208, 353, 3836, 1381, 8672, 19, 8385, 869, 1742, 8942, 311, 14063, 830, 275, 9029, 329, 4883, 1483, 523, 808, 7597, 19, 334, 3511, 397, 3836, 1381, 8672, 353, 14511, 17, 448, 2590, 448, 1017, 3263, 17, 11793, 17, 329, 8622, 19, 334, 8784, 302, 808, 3200, 1208, 353, 311, 3126, 496, 273, 3836, 35125, 353, 273, 3966, 302, 1554, 2712, 302, 45848, 32, 311, 4309, 1662, 311, 732, 275, 1581, 302, 275, 3836, 1381, 8672, 32, 311, 4309, 1662, 311, 27209, 3836, 1381, 8672, 19, 204, 837, 46646, 19657, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34680, 29835, 17, 273, 7089, 6132, 1516, 17, 869, 10921, 275, 11499, 496, 566, 10994, 311, 444, 275, 6795, 19, 2474, 867, 275, 1051, 311, 10065, 496, 1792, 7186, 496, 529, 14534, 311, 444, 5096, 311, 7575, 12387, 874, 1792, 4683, 302, 3914, 3962, 17, 440, 928, 437, 6132, 790, 618, 1879, 1924, 1475, 19, 1058, 3210, 496, 2589, 12387, 18, 29944, 299, 3821, 521, 1561, 353, 5096, 311, 2249, 275, 3714, 1924, 440, 1792, 6795, 311, 275, 3714, 19, 17674, 2547, 17, 6795, 618, 444, 1425, 20166, 448, 273, 4153, 1187, 302, 10187, 496, 5814, 490, 2237, 311, 4204, 329, 3326, 275, 3714, 302, 6132, 790, 19, 204, 8124, 4563, 34680, 29835, 1193, 685, 496, 808, 355, 22517, 523, 275, 1187, 302, 275, 3821, 329, 4153, 8348, 3857, 322, 6595, 17, 15456, 789, 334, 7089, 6132, 1516, 8699, 1702, 11499, 448, 4362, 33562, 18651, 5028, 302, 275, 1901, 3287, 29391, 2927, 560, 808, 21253, 20707, 302, 1704, 690, 867, 275, 2089, 17, 440, 928, 566, 6900, 719, 19, 7054, 2089, 3629, 8864, 496, 1422, 2560, 4153, 1727, 1283, 275, 6795, 17, 6264, 329, 275, 790, 292, 273, 4539, 6132, 1561, 31, 204, 36014, 311, 830, 302, 2075, 867, 11799, 4166, 17, 490, 353, 1236, 12862, 496, 275, 6795, 353, 9140, 440, 14560, 1015, 292, 20419, 302, 275, 46286, 322, 60, 594, 340, 2385, 789, 204, 46002, 1381, 8672, 529, 24880, 16589, 17931, 302, 437, 6132, 1561, 496, 529, 7784, 311, 6626, 6264, 2712, 1283, 1163, 31895, 19, 3433, 529, 25800, 17931, 17, 1174, 1236, 2347, 2139, 17, 5862, 17, 1017, 741, 353, 14636, 448, 1250, 529, 275, 1698, 6399, 496, 529, 5096, 311, 10574, 275, 3683, 302, 275, 790, 496, 11669, 1924, 19, 204, 1823, 37065, 529, 13627, 27235, 448, 1842, 302, 16589, 8164, 322, 39, 10294, 789, 3433, 529, 6999, 292, 7510, 2589, 16589, 3440, 329, 6783, 19, 204, 2841, 529, 970, 3003, 302, 16589, 18147, 2317, 5966, 329, 3196, 6399, 19, 10303, 292, 1855, 302, 1605, 275, 741, 496, 275, 3836, 1381, 8672, 2811, 353, 12925, 3171, 275, 1729, 17, 275, 896, 311, 5384, 1017, 3422, 8784, 329, 14285, 302, 1225, 48910, 292, 5384, 275, 2712, 1283, 1017, 5956, 292, 1855, 302, 1605, 16589, 5194, 322, 55, 19779, 17, 10599, 789, 204, 673, 741, 302, 3836, 35125, 292, 5966, 18147, 353, 311, 7659, 2258, 904, 18147, 496, 1563, 292, 4141, 1051, 5348, 5422, 19, 10665, 18147, 17, 523, 275, 904, 1922, 17, 529, 27235, 311, 1977, 719, 273, 4542, 3702, 24595, 17, 7301, 1250, 1895, 1475, 39412, 19, 1058, 432, 4973, 275, 3773, 302, 6414, 6795, 17, 928, 353, 275, 6795, 496, 273, 2875, 3836, 35125, 1784, 4426, 348, 2545, 1936, 311, 275, 4303, 4767, 302, 275, 24154, 884, 3599, 292, 275, 6783, 19, 204, 11354, 3003, 302, 16589, 18147, 5961, 1017, 3346, 2089, 23198, 496, 8335, 275, 11362, 302, 1017, 1225, 19, 1765, 5966, 6783, 31, 204, 59, 34, 59, 22, 34, 59, 23, 34, 59, 83, 17, 361, 2609, 34, 55, 22, 55, 23, 20, 55, 22, 16, 55, 23, 32, 1547, 2007, 34, 59, 13, 22, 20, 55, 22, 16, 5013, 22, 20, 55, 83, 5224, 348, 3196, 6783, 31, 382, 34, 46, 22, 34, 5013, 34, 837, 32, 361, 2609, 34, 55, 22, 16, 5013, 16, 55, 83, 19, 204, 46002, 1381, 8672, 618, 444, 2927, 302, 1792, 7186, 329, 5961, 8318, 12593, 17, 20607, 521, 10346, 17, 9205, 10346, 17, 14637, 10346, 17, 9823, 10346, 17, 33013, 9823, 10346, 17, 11041, 362, 15639, 17, 329, 754, 523, 19, 3065, 1337, 273, 6592, 8372, 302, 1702, 4550, 302, 275, 6132, 6783, 17, 348, 1763, 31, 7023, 578, 17, 1554, 521, 31285, 47556, 17, 2347, 17, 8795, 27497, 24154, 17, 4338, 7204, 17, 6623, 19, 204, 837, 275, 1324, 302, 46646, 19657, 29835, 869, 10921, 6795, 302, 7186, 19, 2315, 37065, 17, 928, 529, 1425, 12459, 3556, 448, 275, 3836, 1381, 8672, 17, 529, 275, 1901, 4802, 329, 12459, 27235, 4781, 302, 16589, 6783, 19, 26705, 1381, 8672, 529, 27235, 311, 8386, 329, 2280, 719, 275, 790, 329, 6264, 292, 273, 4539, 6132, 6783, 754, 496, 7490, 3576, 618, 1698, 636, 275, 790, 329, 275, 6264, 496, 529, 1855, 20032, 329, 3600, 311, 6618, 275, 1945, 1561, 19, 2315, 37065, 618, 444, 978, 9372, 4430, 4260, 292, 3196, 329, 5966, 5687, 496, 838, 11898, 302, 6132, 790, 521, 6132, 6783, 19, 21918, 275, 3718, 496, 275, 2712, 1283, 275, 970, 6132, 18147, 353, 19249, 4883, 17, 275, 741, 8942, 560, 275, 3836, 1381, 8672, 6786, 275, 1729, 2317, 311, 10574, 275, 3714, 329, 6813, 275, 6264, 39493, 329, 6618, 275, 8819, 1225, 302, 275, 1561, 19, 828, 275, 6783, 353, 5966, 17, 25795, 353, 3324, 17, 1335, 292, 275, 3196, 275, 382, 17, 521, 275, 6132, 790, 353, 17, 928, 3731, 275, 4802, 2089, 382, 34, 59, 20, 55, 15844, 19, 204, 18, 23185, 6527, 793, 204, 18, 334, 20268, 204, 18, 628, 478, 3723, 389, 5269, 20318, 204, 18, 313, 316, 329, 480, 2859, 415, 15901, 204, 18, 8201, 46095, 14628, 22435, 11865, 204, 14813, 20921, 311, 1214, 4695, 3384, 348, 11311, 1924, 348, 479, 440, 2745, 1673, 1552, 19, 382, 11076, 884, 89, 5190, 1475, 273, 6273, 302, 10065, 17, 1101, 1250, 1466, 5096, 311, 3891, 719, 440, 273, 2234, 71, 4960, 348, 479, 19, 1058, 353, 275, 5568, 302, 3158, 496, 382, 8336, 19, 20410, 17, 382, 636, 17556, 1382, 17, 329, 382, 17556, 1330, 2745, 4960, 3913, 7163, 529, 19, 1547, 353, 754, 14236, 299, 311, 2379, 496, 382, 618, 444, 292, 273, 40143, 329, 3754, 39810, 18, 10841, 19, 3052, 329, 496, 872, 1120, 10580, 273, 4382, 4960, 348, 479, 17, 1236, 7597, 2075, 19, 334, 3718, 496, 872, 2255, 437, 10167, 18, 85, 10517, 26896, 2643, 2556, 353, 4382, 17, 4440, 19, 382, 27879, 16635, 496, 2745, 1225, 353, 23919, 2171, 19, 39810, 18, 10841, 19, 3052, 19232, 6, 204, 10357, 18967, 529, 36936, 630, 690, 6294, 19, 382, 12098, 292, 437, 1552, 348, 3420, 3060, 5362, 13168, 17, 329, 1250, 1466, 830, 5052, 21070, 17, 2219, 440, 275, 3697, 21376, 10065, 19, 35553, 17, 39810, 18, 10841, 19, 3052, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 204, 10357, 4695, 3886, 47185, 348, 479, 2589, 690, 19, 382, 874, 6202, 1742, 940, 29048, 336, 19, 204, 46, 867, 10048, 440, 275, 970, 15382, 496, 1214, 18967, 3756, 348, 479, 19, 10146, 7239, 275, 3397, 7597, 867, 9395, 11482, 17, 1250, 14417, 311, 3891, 719, 440, 2223, 5926, 1225, 19, 1058, 869, 1742, 2745, 4699, 440, 39810, 18, 10841, 19, 3052, 17, 1048, 275, 2482, 14693, 335, 19, 7616, 329, 2589, 690, 382, 874, 4331, 273, 2223, 5926, 4960, 17, 872, 874, 3891, 1924, 440, 27883, 4695, 6016, 348, 479, 19, 382, 3315, 42246, 311, 8789, 1214, 4695, 3158, 311, 2745, 8120, 329, 18987, 19, 204, 673, 1225, 382, 5445, 497, 1214, 18967, 867, 3171, 4037, 1194, 1812, 17, 6469, 8442, 275, 17736, 3423, 302, 1214, 6171, 6, 1058, 353, 754, 29161, 6, 382, 19395, 884, 89, 9136, 17, 12650, 17, 496, 8774, 2090, 39810, 18, 10841, 19, 3052, 2219, 23500, 17, 1101, 1675, 2528, 17, 382, 884, 82, 12925, 6430, 872, 529, 275, 1698, 1051, 496, 353, 808, 3094, 19, 382, 874, 14006, 273, 6273, 302, 5726, 5337, 1465, 904, 4695, 8774, 17, 1101, 6202, 273, 2917, 1142, 1465, 39810, 18, 10841, 19, 3052, 19, 3665, 529, 21784, 336, 448, 2545, 275, 2765, 17, 329, 382, 17, 348, 1051, 17, 3315, 32070, 496, 808, 353, 3597, 19, 28644, 872, 348, 275, 27883, 2624, 872, 3756, 523, 2745, 6985, 329, 3793, 13168, 19, 0, 8312, 3865, 28666, 9308, 46447, 4769, 6287, 7880, 2567, 10593, 18, 1794, 33961, 3812, 338, 8129, 5820, 204, 8185, 28666, 3784, 854, 32536, 408, 26073, 18262, 3601, 6841, 12644, 3558, 3028, 11198, 408, 7466, 921, 4068, 11545, 29823, 45461, 10700, 4296, 3784, 17276, 13919, 7649, 20315, 568, 12319, 11545, 29823, 4769, 17464, 39799, 23819, 854, 10644, 18, 33736, 15272, 408, 21283, 10914, 408, 9276, 11553, 408, 5259, 5659, 408, 32315, 37886, 26073, 6478, 23039, 2657, 6960, 12319, 11545, 29823, 11686, 21103, 12215, 568, 204, 2570, 30356, 408, 2891, 5778, 5137, 1398, 408, 22845, 21283, 460, 39949, 2657, 20937, 1773, 921, 27008, 6170, 4530, 20292, 460, 20087, 408, 2823, 17621, 1773, 26796, 3590, 7780, 568, 3064, 33058, 15849, 1390, 7763, 408, 34343, 44253, 1111, 8185, 23832, 5778, 26073, 2114, 2253, 37569, 9198, 17183, 1002, 19572, 2860, 2492, 102, 7174, 460, 20087, 568, 11545, 29823, 4769, 6564, 28666, 2657, 6693, 5778, 25461, 460, 34409, 20572, 16865, 568, 204, 25986, 408, 26728, 25431, 11545, 29823, 19539, 18063, 5661, 408, 5385, 10644, 460, 10914, 5778, 1227, 11545, 5452, 23034, 921, 12145, 8055, 1227, 45461, 568, 7466, 408, 921, 4485, 1398, 10904, 23262, 5778, 408, 11026, 25867, 8181, 5778, 568, 204, 14407, 408, 10241, 1262, 28666, 29895, 11514, 460, 7833, 6514, 38, 395, 270, 7833, 47887, 17572, 408, 1254, 1603, 9438, 5584, 6897, 460, 12049, 6213, 20292, 20604, 3044, 19, 20604, 3044, 13427, 5778, 1432, 4530, 1971, 6689, 408, 6899, 2065, 45, 336, 2996, 13392, 1944, 460, 23034, 2815, 13611, 2183, 3784, 2677, 41, 17180, 2653, 3590, 26796, 37989, 568, 204, 20604, 1944, 460, 33129, 53, 1251, 2678, 4872, 290, 269, 1407, 20843, 15903, 42524, 5820, 408, 30697, 8466, 2370, 3463, 20183, 2065, 23109, 21210, 460, 6233, 33736, 4769, 408, 1254, 26796, 25461, 12408, 5778, 2823, 8181, 1432, 18858, 5284, 3240, 408, 1254, 32854, 12049, 6213, 20292, 1251, 3361, 18858, 44822, 11220, 568, 204, 2218, 10922, 8075, 408, 10366, 921, 28666, 7858, 6233, 33736, 4769, 9555, 2499, 11999, 12408, 41504, 19219, 2114, 408, 9027, 8185, 41, 17180, 28972, 35285, 35285, 1227, 37718, 2114, 408, 2499, 11999, 1002, 39549, 43460, 41504, 35644, 568, 204, 4525, 19802, 32315, 14010, 408, 18922, 4769, 2823, 7307, 2498, 35984, 42085, 1227, 12792, 6112, 408, 2657, 9092, 28666, 1550, 44397, 12049, 6213, 20292, 11545, 32315, 460, 10458, 16570, 568, 204, 0, 531, 1907, 19, 11761, 532, 2111, 17, 4123, 204, 531, 1907, 19, 1479, 19, 1618, 532, 3398, 204, 531, 2617, 1618, 532, 5185, 17, 6319, 204, 531, 2617, 6041, 532, 48353, 17, 5185, 2954, 204, 531, 1907, 19, 4823, 19, 3340, 19, 15516, 532, 2924, 68, 5593, 204, 204, 461, 636, 68, 668, 68, 8754, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 7215, 497, 275, 1104, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 830, 7215, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 7215, 497, 275, 1104, 204, 264, 407, 5185, 19, 2856, 19, 668, 374, 204, 204, 461, 636, 68, 668, 68, 9483, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 6943, 497, 275, 1104, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 830, 6943, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 6943, 497, 275, 1104, 204, 264, 407, 6319, 19, 2856, 19, 668, 374, 204, 204, 37, 3424, 68, 5593, 204, 461, 838, 68, 2288, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 275, 5247, 302, 273, 717, 1722, 19, 204, 204, 264, 1164, 2394, 824, 31, 334, 3426, 824, 726, 19, 204, 264, 1164, 3309, 31, 332, 4123, 311, 275, 19031, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 1722, 798, 1014, 204, 264, 1722, 68, 654, 289, 5185, 2954, 13, 1443, 19, 4252, 14, 204, 204, 264, 397, 1722, 68, 654, 19, 360, 68, 1018, 1293, 204, 268, 314, 666, 273, 717, 1722, 1014, 204, 268, 1014, 289, 1722, 68, 654, 19, 2360, 13, 4827, 34, 1975, 14, 204, 268, 1014, 19, 2288, 68, 816, 289, 824, 19, 816, 204, 268, 1014, 19, 2360, 374, 204, 268, 407, 4123, 12394, 204, 204, 461, 19031, 13, 1443, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 5133, 275, 19031, 2013, 19, 204, 204, 264, 1164, 2394, 824, 31, 334, 3426, 824, 726, 19, 204, 264, 1164, 3309, 31, 334, 5703, 19031, 2399, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 7215, 329, 6943, 204, 264, 7215, 289, 636, 68, 668, 68, 8754, 374, 204, 264, 6943, 289, 636, 68, 668, 68, 9483, 374, 204, 204, 264, 314, 666, 717, 798, 5644, 204, 264, 3777, 68, 654, 289, 48353, 374, 204, 264, 1722, 68, 654, 289, 5185, 2954, 374, 204, 204, 264, 314, 778, 397, 275, 824, 1216, 353, 6379, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 778, 397, 275, 1722, 798, 353, 2545, 16059, 204, 268, 397, 379, 2288, 68, 654, 12, 292, 824, 19, 4252, 31, 204, 305, 838, 68, 2288, 13, 1443, 14, 204, 268, 314, 778, 397, 275, 3777, 798, 353, 2545, 16059, 204, 268, 1677, 379, 6324, 68, 654, 12, 292, 824, 19, 4252, 31, 204, 305, 314, 666, 273, 717, 3777, 798, 1014, 204, 305, 3777, 68, 654, 289, 48353, 13, 1443, 19, 4252, 14, 204, 305, 397, 3777, 68, 654, 19, 360, 68, 1018, 1293, 204, 485, 314, 666, 273, 717, 3777, 1014, 204, 485, 3777, 68, 654, 19, 2360, 374, 204, 204, 264, 314, 4784, 275, 19031, 2399, 204, 264, 407, 2111, 13, 1443, 17, 379, 660, 20, 5164, 19, 2079, 491, 463, 204, 268, 379, 8754, 597, 7215, 17, 204, 268, 379, 9483, 597, 6943, 17, 204, 268, 379, 6324, 68, 654, 597, 3777, 68, 654, 17, 204, 268, 379, 2288, 68, 654, 597, 1722, 68, 654, 204, 264, 7084, 204, 0, 647, 2010, 448, 645, 204, 531, 9325, 19, 25145, 532, 1356, 68, 6164, 204, 204, 461, 3219, 68, 804, 68, 481, 374, 393, 927, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 683, 424, 348, 275, 6361, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 8421, 1259, 1525, 322, 38, 1539, 14, 329, 275, 8421, 537, 1525, 322, 39, 1539, 789, 204, 264, 320, 204, 264, 314, 968, 275, 1419, 1259, 329, 537, 7703, 204, 264, 332, 1539, 289, 645, 19, 643, 1568, 204, 268, 551, 22, 19, 3222, 17, 500, 19, 3222, 17, 500, 648, 204, 268, 551, 21, 19, 3222, 17, 368, 19, 3222, 17, 500, 19, 3222, 648, 204, 268, 551, 21, 17, 500, 19, 3222, 17, 368, 19, 3222, 66, 204, 264, 9174, 204, 264, 565, 1539, 289, 645, 19, 13493, 13, 24, 14, 204, 204, 264, 314, 415, 864, 9446, 275, 7703, 311, 4897, 1250, 529, 2614, 275, 435, 18, 5915, 4279, 204, 264, 314, 9076, 31, 334, 1758, 2393, 68, 23, 68, 633, 68, 23, 68, 5689, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 264, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 19289, 43564, 275, 537, 1525, 19, 204, 264, 314, 1765, 6893, 5356, 17, 273, 3277, 36236, 353, 6310, 19, 204, 264, 332, 1539, 1412, 500, 19, 22, 540, 645, 19, 2017, 19, 9054, 4934, 38, 1539, 19, 1827, 14, 204, 264, 565, 1539, 1412, 500, 19, 22, 540, 645, 19, 2017, 19, 9054, 4934, 39, 1539, 19, 1827, 14, 204, 204, 264, 407, 332, 1539, 17, 565, 1539, 204, 204, 461, 7072, 68, 19343, 68, 2539, 13, 54, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 18289, 275, 8985, 741, 311, 444, 18972, 19, 204, 204, 264, 457, 31, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 332, 7063, 741, 496, 31199, 275, 8985, 741, 700, 19, 204, 264, 320, 204, 264, 436, 8985, 68, 2539, 13, 93, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 12276, 275, 8985, 741, 700, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 1123, 19, 766, 330, 334, 11689, 1554, 17, 928, 353, 273, 19349, 2585, 302, 275, 1259, 329, 537, 7703, 19, 204, 204, 268, 475, 31, 204, 305, 334, 8985, 741, 700, 19, 204, 268, 320, 204, 268, 314, 13600, 275, 11689, 1554, 1025, 1259, 329, 537, 7703, 204, 268, 300, 289, 1301, 19, 1827, 64, 21, 66, 204, 268, 332, 289, 610, 2022, 83, 15, 83, 1664, 6358, 1802, 83, 17, 300, 602, 204, 268, 565, 289, 610, 64, 83, 15, 83, 20514, 6358, 1802, 83, 17, 300, 602, 204, 204, 268, 314, 3963, 275, 8985, 741, 700, 974, 275, 1758, 2539, 68, 876, 69, 741, 204, 268, 314, 9076, 31, 334, 1758, 2539, 68, 876, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 268, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 31199, 275, 8985, 741, 700, 19, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 8985, 741, 353, 1376, 19, 204, 268, 407, 645, 19, 11217, 13, 38, 19, 57, 1642, 1301, 1642, 332, 14, 465, 645, 19, 11217, 13, 39, 19, 57, 1642, 361, 1642, 565, 14, 204, 204, 264, 407, 8985, 68, 2539, 204, 204, 461, 7072, 68, 11272, 68, 2539, 13, 54, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 18289, 275, 6361, 741, 302, 275, 8985, 741, 19, 204, 204, 264, 457, 31, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 332, 7063, 741, 496, 31199, 275, 6361, 302, 275, 8985, 741, 19, 204, 264, 320, 204, 264, 436, 6361, 68, 2539, 13, 93, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 12276, 275, 6361, 302, 275, 8985, 741, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 1123, 19, 766, 330, 334, 11689, 1554, 17, 928, 353, 273, 19349, 2585, 302, 275, 1259, 329, 537, 7703, 19, 204, 204, 268, 475, 31, 204, 305, 334, 6361, 302, 275, 8985, 741, 19, 204, 268, 320, 204, 268, 314, 13600, 275, 11689, 1554, 1025, 1259, 329, 537, 7703, 204, 268, 300, 289, 1301, 19, 1827, 64, 21, 66, 204, 268, 332, 289, 610, 2022, 83, 15, 83, 1664, 6358, 1802, 83, 17, 300, 602, 204, 268, 565, 289, 610, 64, 83, 15, 83, 20514, 6358, 1802, 83, 17, 300, 602, 204, 204, 268, 314, 3963, 275, 6361, 302, 275, 8985, 741, 974, 275, 1758, 11272, 69, 741, 204, 268, 314, 9076, 31, 334, 1758, 11272, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 31199, 275, 6361, 19, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 6361, 353, 1376, 19, 204, 268, 42572, 289, 435, 540, 1301, 1642, 332, 204, 268, 26667, 289, 435, 540, 361, 1642, 565, 204, 268, 407, 645, 19, 13750, 1802, 44352, 19, 12114, 2144, 26667, 19, 12114, 5887, 204, 204, 264, 407, 6361, 68, 2539, 204, 204, 461, 1356, 68, 11272, 13, 38, 1539, 31, 645, 19, 766, 17, 565, 1539, 31, 645, 19, 766, 17, 1301, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4191, 275, 6361, 302, 275, 8985, 741, 19, 204, 204, 264, 457, 31, 204, 268, 332, 1539, 322, 1123, 19, 766, 330, 334, 8421, 1259, 1525, 19, 204, 268, 565, 1539, 322, 1123, 19, 766, 330, 334, 8421, 537, 1525, 19, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 264, 320, 204, 264, 314, 15822, 275, 1259, 329, 537, 7703, 1025, 273, 2875, 11689, 1554, 204, 264, 377, 289, 645, 19, 13750, 1802, 38, 1539, 19, 12114, 2144, 565, 1539, 19, 12114, 5887, 204, 204, 264, 314, 968, 275, 8985, 741, 329, 1163, 6361, 204, 264, 8985, 68, 4266, 289, 7072, 68, 19343, 68, 2539, 13, 54, 17, 361, 14, 204, 264, 6361, 68, 4266, 289, 7072, 68, 11272, 68, 2539, 13, 54, 17, 361, 14, 204, 204, 264, 314, 778, 275, 6361, 974, 275, 1758, 2555, 68, 6164, 69, 741, 497, 6535, 5941, 204, 264, 9981, 289, 1356, 68, 6164, 13, 19343, 68, 4266, 17, 6361, 68, 4266, 17, 377, 14, 204, 264, 397, 9981, 1323, 368, 74, 18, 25, 31, 204, 268, 980, 987, 13, 75, 7, 13648, 27190, 908, 302, 6361, 353, 463, 5823, 743, 204, 204, 461, 683, 68, 11272, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 6361, 302, 275, 8985, 741, 19, 204, 264, 320, 204, 264, 332, 1539, 17, 565, 1539, 289, 3219, 68, 804, 68, 481, 374, 204, 264, 1301, 289, 368, 74, 18, 24, 540, 645, 19, 13493, 13, 24, 14, 204, 264, 361, 289, 645, 19, 13493, 13, 24, 14, 204, 264, 1356, 68, 11272, 13, 38, 1539, 17, 565, 1539, 17, 1301, 17, 361, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 11272, 374, 204, 0, 647, 2044, 23, 204, 204, 461, 5656, 68, 4814, 68, 531, 68, 3230, 13958, 13, 8844, 68, 998, 31, 421, 17, 2023, 68, 2435, 31, 421, 17, 2023, 68, 2757, 31, 421, 17, 17022, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 19305, 2752, 497, 273, 37978, 329, 2037, 490, 19, 204, 204, 264, 457, 31, 204, 268, 4812, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 4812, 311, 732, 19, 204, 268, 2023, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 2752, 2023, 19, 204, 268, 2023, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 2752, 2023, 19, 204, 268, 17022, 322, 339, 330, 334, 17022, 302, 275, 2752, 2023, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 12206, 13001, 726, 329, 758, 1163, 3564, 204, 264, 2752, 68, 10767, 289, 2044, 23, 19, 15200, 13, 8844, 68, 998, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 18002, 68, 6559, 17, 2023, 68, 2435, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 18002, 68, 7645, 17, 2023, 68, 2757, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 42212, 27002, 17, 17022, 14, 204, 204, 264, 314, 778, 397, 275, 2752, 5656, 353, 11771, 4073, 204, 264, 397, 508, 2752, 68, 10767, 19, 31215, 1293, 204, 268, 456, 499, 10219, 1451, 4812, 431, 204, 268, 407, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 1606, 273, 2023, 497, 275, 2752, 5656, 204, 268, 1978, 17, 2023, 289, 2752, 68, 10767, 19, 976, 374, 204, 268, 397, 508, 1978, 31, 204, 305, 456, 499, 10219, 7137, 2023, 431, 204, 305, 2280, 204, 204, 268, 314, 3740, 275, 2023, 204, 268, 2044, 23, 19, 8122, 499, 9501, 528, 2023, 14, 204, 204, 268, 314, 778, 348, 275, 379, 86, 12, 896, 3692, 311, 5925, 204, 268, 397, 2044, 23, 19, 13755, 13, 22, 14, 2343, 500, 19562, 564, 10014, 611, 86, 4448, 204, 305, 2280, 204, 204, 264, 314, 15763, 275, 2752, 5656, 329, 3671, 275, 2158, 204, 264, 2752, 68, 10767, 19, 8242, 374, 204, 264, 2044, 23, 19, 15524, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 968, 275, 1540, 4812, 2557, 204, 264, 1540, 68, 8844, 68, 998, 289, 500, 204, 264, 1540, 68, 1669, 68, 2435, 289, 27123, 204, 264, 1540, 68, 1669, 68, 2757, 289, 20509, 204, 264, 1540, 68, 24009, 289, 1607, 204, 204, 264, 314, 19305, 2752, 497, 275, 1540, 4812, 204, 264, 5656, 68, 4814, 68, 531, 68, 3230, 13958, 13, 2305, 68, 8844, 68, 998, 17, 1540, 68, 1669, 68, 2435, 17, 1540, 68, 1669, 68, 2757, 17, 1540, 68, 24009, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4104, 204, 531, 4277, 19, 11783, 68, 4165, 532, 39550, 204, 531, 4277, 19, 5878, 532, 3666, 68, 2224, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 1137, 68, 1292, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 1385, 4793, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 475, 31, 204, 264, 783, 64, 1218, 64, 325, 2440, 332, 458, 302, 3330, 17, 1273, 848, 7086, 458, 4504, 273, 1237, 292, 275, 2306, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 9733, 18590, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 6686, 289, 4104, 19, 6439, 13, 553, 14, 204, 305, 4793, 68, 481, 289, 551, 937, 348, 1237, 292, 6686, 66, 204, 305, 407, 4793, 68, 481, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1967, 68, 2226, 68, 416, 68, 1676, 13, 937, 31, 783, 64, 325, 694, 393, 1884, 64, 1218, 64, 339, 648, 421, 744, 204, 264, 320, 204, 264, 1986, 2048, 329, 1800, 497, 273, 2875, 1237, 19, 204, 204, 264, 457, 31, 204, 264, 1237, 322, 1218, 64, 325, 1037, 332, 458, 2457, 273, 1237, 292, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 339, 648, 421, 744, 332, 927, 1174, 275, 4989, 2048, 329, 1800, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2048, 329, 1017, 3310, 3265, 204, 264, 2048, 289, 551, 21, 66, 540, 931, 12991, 264, 2648, 68, 1608, 289, 463, 204, 268, 379, 10951, 339, 509, 8433, 6539, 84, 597, 500, 17, 204, 268, 379, 11508, 33186, 597, 368, 17, 204, 268, 379, 6648, 40141, 1257, 597, 435, 17, 204, 268, 379, 25387, 11614, 87, 2142, 6369, 501, 707, 29758, 865, 597, 571, 17, 204, 268, 379, 25387, 11614, 87, 2142, 6369, 650, 18886, 29758, 865, 597, 681, 17, 204, 268, 379, 41, 276, 355, 29974, 74, 14700, 70, 597, 720, 17, 204, 268, 379, 41, 276, 355, 23422, 2262, 530, 597, 887, 17, 204, 268, 379, 10492, 4927, 597, 1168, 17, 204, 268, 379, 13074, 4666, 597, 1132, 17, 204, 268, 379, 57, 865, 277, 597, 1233, 204, 264, 1211, 204, 264, 1800, 68, 1608, 289, 463, 204, 268, 379, 11805, 286, 17635, 597, 368, 17, 204, 268, 379, 6950, 76, 269, 17635, 597, 500, 204, 264, 1211, 204, 615, 264, 314, 1986, 2048, 329, 1800, 204, 264, 348, 782, 292, 1237, 31, 204, 268, 348, 2648, 17, 1112, 292, 2648, 68, 1608, 19, 1996, 1293, 204, 305, 397, 2648, 292, 782, 31, 204, 485, 2048, 64, 998, 66, 289, 368, 204, 268, 397, 379, 11805, 286, 17635, 12, 292, 782, 31, 204, 305, 1800, 289, 368, 204, 268, 1677, 379, 6950, 76, 269, 17635, 12, 292, 782, 31, 204, 305, 1800, 289, 500, 204, 264, 407, 2048, 17, 1800, 204, 204, 461, 1352, 68, 481, 13, 1292, 68, 481, 31, 783, 64, 1218, 64, 325, 4097, 393, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 3325, 275, 4793, 424, 560, 16997, 2048, 329, 1769, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 481, 322, 1218, 64, 1218, 64, 325, 3795, 332, 458, 302, 3330, 17, 1273, 848, 7086, 458, 4504, 273, 1237, 292, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 339, 2440, 332, 927, 1174, 275, 4050, 424, 329, 1769, 19, 204, 264, 320, 204, 264, 4050, 68, 481, 289, 1306, 204, 264, 1769, 289, 1306, 204, 264, 348, 1237, 292, 4793, 68, 481, 31, 204, 268, 2048, 17, 1800, 289, 1967, 68, 2226, 68, 416, 68, 1676, 13, 937, 14, 204, 268, 4050, 68, 481, 19, 1223, 13, 2226, 14, 204, 268, 1769, 19, 1223, 13, 1676, 14, 204, 264, 407, 4050, 68, 481, 17, 1769, 204, 204, 461, 3404, 68, 481, 13, 481, 31, 783, 64, 1218, 64, 339, 4395, 1769, 31, 783, 64, 339, 648, 3404, 68, 6534, 31, 818, 14, 393, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 1218, 64, 339, 4395, 783, 64, 339, 648, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 3736, 275, 424, 1025, 1737, 329, 2907, 3416, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 4050, 424, 19, 204, 264, 1769, 322, 1218, 64, 339, 1037, 332, 458, 302, 1769, 19, 204, 264, 3404, 68, 6534, 322, 996, 330, 334, 3726, 302, 424, 311, 444, 1376, 348, 1737, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 1218, 64, 339, 4395, 783, 64, 339, 648, 783, 64, 339, 2440, 332, 927, 1174, 275, 1737, 424, 17, 2907, 424, 17, 1737, 1769, 17, 329, 2907, 1769, 19, 204, 264, 320, 204, 264, 314, 1974, 4277, 677, 951, 68, 804, 68, 1590, 741, 348, 16782, 424, 204, 264, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 481, 17, 1769, 17, 683, 68, 835, 34, 22, 18, 1590, 68, 6534, 17, 1400, 68, 1512, 34, 5820, 14, 204, 264, 407, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 204, 204, 461, 951, 68, 24102, 68, 8895, 13, 1219, 68, 481, 31, 783, 64, 1218, 64, 339, 4395, 951, 68, 2185, 31, 783, 64, 339, 694, 393, 39550, 31, 204, 264, 320, 204, 264, 2672, 437, 20321, 5266, 974, 275, 1737, 424, 19, 204, 204, 264, 457, 31, 204, 264, 951, 68, 481, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1737, 424, 19, 204, 264, 951, 68, 2185, 322, 1218, 64, 339, 1037, 332, 458, 302, 1737, 1769, 19, 204, 204, 264, 475, 31, 204, 264, 39550, 31, 332, 6020, 20321, 5266, 19, 204, 264, 320, 204, 264, 33718, 68, 8895, 289, 39550, 13, 7952, 34, 1975, 17, 846, 68, 2062, 34, 5758, 17, 29081, 34, 21, 19, 3145, 1003, 14, 204, 264, 33718, 68, 8895, 19, 2714, 13, 1219, 68, 481, 17, 951, 68, 2185, 14, 204, 264, 407, 33718, 68, 8895, 204, 204, 461, 683, 68, 24102, 68, 8895, 13, 24102, 68, 8895, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31, 39550, 17, 683, 68, 481, 31, 783, 64, 1218, 64, 339, 4395, 683, 68, 2185, 31, 783, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 20321, 5266, 974, 275, 2907, 424, 19, 204, 204, 264, 457, 31, 204, 264, 33718, 68, 8895, 322, 35552, 5948, 330, 332, 6020, 20321, 5266, 19, 204, 264, 683, 68, 481, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 2907, 424, 19, 204, 264, 683, 68, 2185, 322, 1218, 64, 339, 1037, 332, 458, 302, 2907, 1769, 19, 204, 264, 320, 204, 264, 3705, 289, 33718, 68, 8895, 19, 4396, 13, 804, 68, 481, 14, 204, 264, 3666, 289, 3666, 68, 2224, 13, 804, 68, 2185, 17, 3705, 14, 204, 264, 456, 13, 75, 7, 15735, 31, 463, 5893, 4567, 24, 75, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 4793, 68, 481, 289, 1137, 68, 1292, 68, 481, 611, 73, 19393, 18, 1460, 18, 997, 345, 22441, 19, 2039, 534, 204, 264, 4050, 68, 481, 17, 1769, 289, 1352, 68, 481, 13, 1292, 68, 481, 14, 204, 264, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 289, 3404, 68, 481, 13, 4971, 68, 481, 17, 1769, 17, 500, 19, 29, 14, 204, 264, 33718, 68, 8895, 289, 951, 68, 24102, 68, 8895, 13, 1219, 68, 481, 17, 951, 68, 2185, 14, 204, 264, 683, 68, 24102, 68, 8895, 13, 24102, 68, 8895, 17, 683, 68, 481, 17, 683, 68, 2185, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 1449, 1020, 275, 14951, 292, 273, 19213, 10685, 302, 6096, 17509, 17, 3441, 468, 17, 329, 1864, 302, 4393, 18, 3769, 332, 17, 928, 353, 19213, 440, 437, 9955, 3581, 302, 15752, 17, 572, 618, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 29019, 273, 2637, 4724, 302, 275, 10685, 1416, 11328, 273, 3060, 2637, 4724, 302, 275, 10685, 440, 1277, 4992, 19, 334, 3351, 302, 808, 1103, 353, 3839, 93, 17, 329, 1163, 3284, 353, 17509, 4270, 93, 19, 204, 204, 23, 19, 930, 11479, 275, 21081, 5816, 1416, 334, 21081, 5816, 302, 808, 4724, 353, 15752, 3231, 87, 17, 1273, 15752, 353, 275, 9955, 3581, 329, 468, 353, 275, 3441, 302, 275, 10685, 19, 204, 204, 24, 19, 930, 11479, 275, 5422, 2955, 523, 275, 4724, 1416, 334, 5422, 2955, 523, 808, 4724, 353, 1936, 311, 1163, 3284, 2666, 1163, 5816, 17, 928, 353, 17509, 4270, 93, 13155, 3231, 87, 19, 204, 204, 25, 19, 930, 1823, 4267, 275, 6971, 1416, 334, 1698, 6971, 11877, 523, 808, 4724, 529, 275, 42866, 630, 1163, 970, 3885, 17, 313, 16092, 329, 313, 16241, 19, 4682, 1422, 353, 1236, 37201, 5816, 17, 275, 37201, 4550, 302, 313, 16092, 329, 313, 16241, 1631, 444, 1936, 329, 7283, 17, 754, 313, 16092, 289, 313, 16241, 289, 313, 19, 204, 204, 26, 19, 930, 11479, 275, 26788, 2955, 1416, 334, 26788, 2955, 523, 275, 4724, 353, 435, 57, 2883, 13, 73, 5907, 659, 1273, 40571, 353, 275, 2746, 1283, 313, 329, 275, 3441, 19, 4682, 3698, 13, 73, 5907, 14, 289, 4992, 20, 23, 87, 17, 275, 26788, 2955, 353, 435, 57, 13, 4928, 20, 23, 87, 14, 289, 313, 4928, 20, 87, 19, 204, 204, 27, 19, 930, 40899, 275, 26788, 2955, 311, 275, 5422, 2955, 1416, 6703, 1070, 275, 26788, 2955, 311, 275, 5422, 2955, 523, 275, 4724, 17, 572, 636, 313, 4928, 20, 87, 289, 17509, 4270, 93, 13155, 3231, 87, 19, 12748, 348, 313, 17, 572, 636, 313, 289, 17509, 38, 13155, 3231, 87, 3231, 19, 204, 204, 673, 14951, 353, 3324, 7870, 275, 10685, 2404, 275, 26788, 2955, 1945, 311, 3550, 848, 4724, 302, 275, 10685, 5751, 292, 273, 3620, 353, 275, 1729, 17, 329, 808, 2955, 353, 1917, 560, 275, 14951, 292, 275, 10685, 19, 828, 275, 14951, 1466, 508, 3324, 17, 1422, 1784, 444, 273, 5422, 2955, 523, 1429, 10054, 302, 275, 10685, 17, 12511, 1475, 311, 27862, 37201, 447, 17, 928, 353, 508, 275, 1322, 19, 204, 204, 673, 7159, 3698, 13, 73, 5907, 14, 289, 4992, 20, 23, 87, 7336, 497, 275, 3718, 496, 275, 3302, 7196, 560, 275, 3441, 17, 275, 4724, 4992, 17, 329, 275, 1007, 497, 275, 3466, 302, 275, 3620, 311, 275, 12288, 302, 4992, 353, 273, 1629, 3302, 17, 329, 275, 2746, 40571, 353, 2637, 17, 754, 3698, 13, 73, 5907, 14, 6753, 40571, 6753, 4992, 20, 23, 87, 19, 716, 204, 673, 10115, 302, 40571, 20799, 3391, 685, 2404, 17, 448, 40571, 7881, 2962, 17, 3615, 13, 73, 5907, 14, 7881, 368, 19, 716, 204, 673, 14951, 1631, 1337, 2404, 17, 2900, 490, 17, 1422, 1784, 444, 1236, 26788, 2955, 311, 3550, 275, 10685, 19213, 17, 928, 1784, 7958, 316, 12462, 677, 1350, 3938, 19, 0, 647, 2164, 204, 531, 10650, 25, 532, 5322, 204, 531, 14573, 532, 13615, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 204, 204, 8, 4861, 204, 8589, 68, 3778, 289, 388, 1942, 1963, 4537, 19, 664, 18, 16138, 5689, 18, 8340, 19, 1453, 7, 204, 204, 461, 636, 68, 1011, 68, 1424, 68, 1011, 68, 11880, 13, 805, 31, 394, 17, 3599, 68, 805, 14, 393, 5322, 31, 204, 264, 320, 204, 264, 763, 275, 1370, 18, 1424, 18, 1011, 5804, 348, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 11088, 19, 204, 268, 3599, 68, 805, 31, 334, 3599, 311, 1640, 275, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 5322, 31, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 264, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 5804, 289, 5322, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 6993, 275, 1274, 329, 2966, 292, 275, 3599, 204, 264, 3599, 68, 805, 19, 5021, 68, 389, 6758, 805, 597, 1779, 17, 379, 2079, 597, 958, 19, 492, 1937, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 407, 5804, 204, 204, 461, 636, 68, 3071, 68, 5093, 13, 11922, 85, 31, 5322, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 275, 1837, 3496, 497, 275, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 457, 31, 204, 268, 284, 17200, 322, 18091, 330, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 334, 1837, 3496, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 1043, 1237, 292, 275, 1435, 204, 264, 1237, 289, 284, 17200, 19, 2269, 611, 997, 534, 204, 264, 314, 1752, 830, 1837, 3496, 292, 275, 1237, 204, 264, 1837, 68, 5093, 289, 551, 3071, 19, 505, 68, 492, 374, 348, 1837, 292, 1237, 19, 2269, 68, 668, 611, 427, 10116, 204, 264, 407, 1837, 68, 5093, 204, 204, 461, 11088, 68, 389, 68, 1756, 13, 11922, 85, 31, 5322, 17, 1863, 17, 1489, 31, 394, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 18640, 1051, 1470, 497, 275, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 457, 31, 204, 268, 284, 17200, 322, 18091, 330, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 268, 1863, 31, 334, 1104, 311, 1640, 275, 424, 19, 204, 268, 1489, 322, 325, 330, 334, 1489, 302, 275, 1470, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 325, 2440, 334, 18044, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1837, 3496, 204, 264, 1837, 68, 5093, 289, 636, 68, 3071, 68, 5093, 13, 11922, 85, 14, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 1470, 424, 204, 264, 1470, 68, 481, 289, 1306, 204, 264, 314, 1752, 830, 3015, 292, 275, 1435, 204, 264, 3015, 289, 284, 17200, 19, 2269, 68, 668, 611, 997, 9520, 23, 5853, 204, 264, 348, 1237, 292, 3015, 31, 204, 268, 810, 31, 204, 305, 314, 1752, 275, 12853, 204, 305, 12853, 289, 1237, 19, 2269, 611, 427, 491, 13640, 7860, 481, 18, 9529, 597, 379, 24768, 38245, 505, 68, 492, 374, 204, 268, 827, 13289, 31, 204, 305, 314, 10248, 3015, 2900, 273, 12853, 204, 305, 3524, 204, 268, 314, 1752, 830, 4207, 292, 275, 1237, 204, 268, 4207, 289, 1237, 19, 2269, 68, 668, 611, 8171, 534, 204, 268, 397, 508, 4207, 31, 204, 305, 314, 10248, 3015, 2900, 4207, 204, 305, 3524, 204, 268, 314, 1986, 275, 424, 497, 275, 4207, 204, 268, 690, 289, 4207, 64, 21, 1664, 505, 68, 492, 374, 204, 268, 1873, 289, 4207, 64, 22, 1664, 505, 68, 492, 374, 204, 268, 311, 3216, 289, 4207, 64, 23, 1664, 505, 68, 492, 374, 204, 268, 2852, 289, 4207, 64, 24, 1664, 505, 68, 492, 374, 204, 268, 7058, 289, 4207, 64, 25, 1664, 505, 68, 492, 374, 204, 268, 284, 17200, 68, 70, 289, 4207, 64, 26, 1664, 505, 68, 492, 374, 204, 268, 284, 17200, 68, 77, 289, 4207, 64, 27, 1664, 505, 68, 492, 374, 204, 268, 1918, 68, 71, 289, 4207, 64, 28, 1664, 505, 68, 492, 374, 204, 268, 1918, 68, 70, 289, 4207, 64, 29, 1664, 505, 68, 492, 374, 204, 268, 2941, 68, 29418, 289, 4207, 64, 30, 1664, 505, 68, 492, 374, 204, 268, 314, 666, 273, 458, 302, 424, 204, 268, 1370, 289, 551, 24768, 17, 690, 17, 1873, 17, 311, 3216, 17, 2852, 17, 7058, 17, 284, 17200, 68, 70, 17, 284, 17200, 68, 77, 17, 1918, 68, 71, 17, 1918, 68, 70, 17, 2941, 68, 29418, 17, 1489, 66, 204, 268, 314, 666, 273, 955, 302, 424, 204, 268, 424, 289, 463, 80, 31, 376, 348, 724, 17, 376, 292, 4337, 13, 3071, 68, 5093, 17, 1370, 4150, 204, 268, 314, 6461, 275, 424, 1025, 275, 1104, 204, 268, 1863, 19, 5021, 68, 389, 13, 481, 14, 204, 268, 314, 5230, 275, 424, 311, 275, 1470, 424, 458, 204, 268, 1470, 68, 481, 19, 1223, 13, 1011, 14, 204, 264, 407, 1470, 68, 481, 204, 204, 461, 636, 68, 7037, 68, 633, 68, 26410, 13, 12193, 31, 783, 64, 339, 648, 8735, 31, 783, 64, 325, 694, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 275, 5444, 311, 11088, 348, 273, 800, 458, 302, 2181, 329, 8735, 19, 204, 204, 264, 457, 31, 204, 268, 2181, 322, 1218, 64, 339, 1037, 334, 458, 302, 2181, 311, 11088, 19, 204, 268, 8735, 322, 1218, 64, 325, 1037, 334, 458, 302, 8735, 311, 11088, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 334, 5444, 311, 11088, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 5444, 204, 264, 5444, 289, 1306, 204, 264, 348, 1324, 292, 2181, 31, 204, 268, 348, 3747, 292, 8735, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 3747, 1472, 204, 305, 958, 289, 2164, 19, 505, 13, 75, 1954, 8589, 68, 3778, 5865, 12193, 4235, 2873, 8246, 7704, 3572, 27022, 431, 204, 305, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 305, 5804, 289, 5322, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 305, 314, 1752, 830, 1470, 5549, 5444, 204, 305, 1470, 68, 7111, 68, 7037, 289, 5804, 19, 2269, 68, 668, 13, 676, 20121, 1756, 68, 7111, 14036, 1236, 36185, 534, 204, 305, 348, 1977, 292, 1470, 68, 7111, 68, 7037, 31, 204, 485, 314, 1986, 275, 1977, 204, 485, 5444, 19, 1223, 13, 2850, 19, 2269, 68, 668, 611, 70, 9520, 22, 6690, 9919, 2378, 204, 264, 407, 5444, 204, 204, 461, 1523, 68, 24564, 13, 7037, 31, 783, 64, 325, 648, 1863, 17, 3599, 68, 805, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 2466, 275, 18272, 348, 273, 800, 458, 302, 5444, 19, 204, 204, 264, 457, 31, 204, 268, 5444, 322, 1218, 64, 325, 1037, 334, 458, 302, 5444, 311, 11088, 19, 204, 268, 1863, 31, 334, 1104, 311, 1640, 275, 424, 19, 204, 268, 3599, 68, 805, 31, 334, 3599, 311, 1640, 275, 5448, 19, 204, 204, 264, 475, 31, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 783, 64, 1218, 64, 325, 2440, 334, 18044, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 18044, 424, 204, 264, 424, 289, 1306, 204, 264, 348, 1977, 292, 5444, 31, 204, 268, 314, 5128, 275, 3101, 1274, 204, 268, 1779, 289, 283, 1954, 8589, 68, 3778, 1134, 2850, 2495, 204, 268, 314, 763, 275, 1370, 18, 1424, 18, 1011, 5804, 204, 268, 284, 17200, 289, 636, 68, 1011, 68, 1424, 68, 1011, 68, 11880, 13, 805, 17, 3599, 68, 805, 14, 204, 268, 314, 18640, 275, 1470, 204, 268, 1470, 68, 481, 289, 11088, 68, 389, 68, 1756, 13, 11922, 85, 17, 1863, 17, 1977, 14, 204, 268, 314, 5230, 275, 1470, 424, 311, 275, 18044, 424, 204, 268, 424, 19, 6683, 13, 1756, 68, 481, 14, 204, 264, 407, 424, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 6370, 311, 275, 7450, 1545, 204, 264, 1545, 289, 13615, 611, 7714, 31, 35597, 534, 204, 264, 314, 5988, 275, 1104, 204, 264, 1863, 289, 1545, 736, 3972, 9787, 839, 204, 264, 314, 5988, 275, 5920, 204, 264, 3599, 68, 805, 289, 1863, 736, 3968, 839, 204, 264, 3599, 68, 481, 289, 1863, 736, 73, 10034, 33745, 839, 204, 264, 314, 968, 275, 2181, 329, 8735, 311, 11088, 204, 264, 2181, 289, 551, 12425, 66, 204, 264, 8735, 289, 551, 75, 7, 7704, 1859, 78, 2495, 348, 296, 292, 933, 13, 22, 17, 1916, 2395, 204, 264, 314, 763, 275, 5444, 311, 11088, 204, 264, 5444, 289, 636, 68, 7037, 68, 633, 68, 26410, 13, 12193, 17, 8735, 14, 204, 264, 314, 2466, 275, 18272, 204, 264, 424, 289, 1523, 68, 24564, 13, 7037, 17, 3599, 68, 481, 17, 3599, 68, 805, 14, 204, 264, 314, 2208, 275, 424, 311, 273, 3805, 3135, 204, 264, 2349, 289, 1246, 19, 1362, 13, 655, 13, 5763, 68, 481, 19, 2269, 5887, 204, 264, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 264, 2349, 19, 633, 68, 2039, 611, 12425, 68, 15675, 19, 2039, 534, 204, 264, 314, 5706, 275, 7450, 1545, 204, 264, 1545, 19, 3529, 374, 204, 0, 647, 304, 204, 531, 1498, 532, 783, 204, 204, 461, 1967, 68, 2749, 68, 12020, 68, 5990, 13, 2749, 68, 492, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 275, 2342, 1085, 497, 273, 800, 1068, 17, 16533, 275, 5085, 4446, 19, 204, 204, 264, 457, 31, 204, 268, 2342, 68, 492, 322, 325, 330, 334, 537, 1068, 496, 1741, 918, 273, 5085, 4446, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2342, 2900, 275, 5085, 4446, 17, 521, 437, 1392, 782, 397, 275, 5085, 4446, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 1020, 275, 2342, 1085, 2518, 275, 5085, 4446, 204, 264, 2216, 289, 304, 19, 1803, 13, 87, 37710, 67, 17865, 36872, 83, 27777, 31, 11541, 2342, 68, 492, 17, 304, 19, 36164, 9074, 14, 204, 264, 397, 2216, 31, 204, 268, 314, 455, 275, 2342, 1085, 17, 27192, 302, 6043, 329, 12467, 10494, 204, 268, 407, 2216, 19, 2207, 13, 22, 789, 2892, 374, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 782, 397, 1236, 5085, 4446, 353, 1193, 204, 268, 407, 3026, 204, 204, 461, 1967, 68, 3709, 68, 655, 68, 531, 68, 2749, 13, 2749, 68, 492, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 7483, 273, 458, 302, 5085, 497, 273, 800, 2342, 1068, 19, 204, 204, 264, 457, 31, 204, 268, 2342, 68, 492, 322, 325, 330, 334, 537, 1068, 496, 1741, 918, 273, 5085, 4446, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 5085, 17, 521, 437, 1392, 458, 397, 1236, 5085, 529, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 1020, 275, 5085, 4446, 204, 264, 2216, 289, 304, 19, 1803, 13, 87, 7, 27777, 24082, 9371, 3920, 528, 2342, 68, 492, 17, 304, 19, 21645, 47697, 1152, 304, 19, 36164, 9074, 14, 204, 264, 397, 2216, 31, 204, 268, 314, 1986, 275, 5085, 782, 329, 3404, 490, 1025, 3509, 5085, 204, 268, 3518, 68, 1031, 289, 2216, 19, 2207, 13, 22, 789, 2892, 374, 204, 268, 314, 455, 273, 458, 302, 5085, 17, 27192, 302, 6043, 329, 12467, 10494, 204, 268, 407, 551, 3709, 19, 2892, 374, 348, 3518, 292, 3518, 68, 1031, 19, 1590, 30867, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 458, 397, 1236, 5085, 4446, 353, 1193, 204, 268, 407, 1306, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2342, 68, 492, 289, 320, 204, 264, 1058, 353, 273, 1672, 2342, 19, 204, 264, 1547, 869, 3536, 2238, 19, 204, 264, 36116, 31, 3518, 22, 17, 3518, 23, 17, 3518, 24, 204, 264, 320, 204, 264, 456, 499, 12385, 2900, 5085, 2212, 204, 264, 456, 13, 5184, 68, 2749, 68, 12020, 68, 5990, 13, 2749, 68, 492, 602, 204, 264, 456, 499, 10833, 458, 2212, 204, 264, 456, 13, 5184, 68, 3709, 68, 655, 68, 531, 68, 2749, 13, 2749, 68, 492, 602, 204, 0, 647, 3238, 204, 647, 1127, 204, 647, 4845, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 6552, 628, 47983, 974, 3505, 94, 85, 946, 431, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 39223, 85, 946, 68, 546, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 3505, 94, 85, 946, 11216, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 4047, 85, 68, 546, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 275, 628, 47983, 11216, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 768, 68, 553, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 537, 510, 348, 628, 47983, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 1420, 68, 553, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 919, 510, 348, 628, 47983, 528, 204, 264, 1179, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 204, 461, 3219, 68, 39223, 85, 946, 13, 1038, 31, 3238, 19, 5750, 14, 393, 394, 31, 204, 264, 320, 204, 264, 1359, 719, 3505, 94, 85, 946, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 2621, 311, 275, 3505, 94, 85, 946, 11216, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 3505, 94, 85, 946, 11216, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 39223, 85, 946, 68, 546, 330, 204, 268, 980, 3180, 499, 40, 4473, 85, 946, 11216, 508, 1193, 431, 204, 264, 407, 2042, 19, 39223, 85, 946, 68, 546, 204, 204, 204, 461, 1523, 68, 4047, 85, 13, 39223, 85, 946, 68, 546, 31, 394, 17, 2042, 31, 3238, 19, 5750, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 628, 47983, 974, 3505, 94, 85, 946, 19, 204, 204, 264, 457, 31, 204, 268, 2074, 94, 85, 946, 68, 546, 322, 325, 330, 2621, 311, 275, 3505, 94, 85, 946, 11216, 19, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 628, 47983, 11216, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 4047, 85, 68, 546, 330, 204, 268, 980, 3180, 499, 59, 47983, 11216, 508, 1193, 431, 204, 615, 264, 314, 778, 397, 275, 537, 510, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 768, 68, 553, 330, 204, 268, 980, 3180, 499, 3383, 510, 508, 1193, 431, 204, 615, 264, 314, 2466, 628, 47983, 974, 3505, 94, 85, 946, 204, 264, 810, 31, 204, 268, 314, 1974, 4845, 311, 1523, 275, 1354, 204, 268, 1354, 289, 283, 1954, 39223, 85, 946, 68, 546, 98, 463, 1038, 19, 4047, 85, 68, 546, 98, 463, 1038, 19, 768, 68, 553, 98, 1323, 463, 1038, 19, 1420, 68, 553, 2495, 204, 268, 4845, 19, 1777, 13, 2196, 17, 7902, 34, 1021, 17, 1356, 34, 1021, 14, 204, 264, 827, 4845, 19, 15054, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4436, 628, 47983, 31, 463, 74, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 1007, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 615, 264, 314, 1359, 719, 3505, 94, 85, 946, 204, 264, 2074, 94, 85, 946, 68, 546, 289, 3219, 68, 39223, 85, 946, 13, 1038, 14, 204, 615, 264, 314, 2466, 628, 47983, 974, 3505, 94, 85, 946, 204, 264, 1523, 68, 4047, 85, 13, 39223, 85, 946, 68, 546, 17, 2042, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 17970, 5313, 329, 39168, 4225, 31274, 204, 204, 673, 3773, 302, 437, 1392, 758, 618, 444, 33624, 17, 448, 490, 6965, 311, 45060, 275, 6733, 302, 273, 758, 448, 273, 3599, 302, 2828, 19, 3355, 17, 275, 1392, 758, 353, 273, 3600, 3773, 292, 9207, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 204, 204, 1380, 2026, 4128, 273, 1359, 3300, 17970, 36, 204, 204, 38, 758, 618, 444, 1392, 2404, 275, 4790, 302, 273, 758, 1583, 508, 4426, 490, 311, 874, 1169, 1842, 19, 592, 3718, 17, 275, 1392, 758, 353, 273, 7370, 302, 2589, 758, 17, 329, 490, 353, 273, 3600, 3773, 292, 1910, 6542, 2758, 17, 1702, 448, 6907, 329, 8651, 19, 204, 204, 673, 1392, 758, 353, 3667, 6717, 448, 2087, 521, 46892, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 1058, 3210, 496, 490, 1583, 508, 918, 1169, 2828, 17, 329, 490, 353, 508, 275, 1729, 448, 273, 758, 496, 3192, 273, 2875, 1103, 17, 1702, 448, 463, 2768, 233, 3572, 204, 204, 1380, 11449, 353, 275, 17970, 1359, 273, 40294, 302, 12320, 1359, 36, 204, 204, 673, 1392, 758, 353, 273, 7370, 302, 2589, 758, 2404, 490, 1583, 508, 918, 1169, 1842, 496, 529, 508, 292, 275, 904, 758, 19, 592, 904, 2159, 17, 2589, 1103, 302, 275, 1392, 758, 353, 1425, 437, 1103, 302, 1169, 904, 758, 17, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 19, 204, 204, 1834, 618, 444, 5298, 448, 273, 23781, 302, 275, 4790, 302, 273, 7370, 19, 332, 758, 332, 353, 273, 7370, 302, 273, 758, 565, 397, 2589, 1103, 302, 332, 353, 1425, 437, 1103, 302, 565, 19, 4682, 275, 1392, 758, 869, 1236, 1842, 17, 490, 12478, 808, 2407, 348, 1169, 758, 565, 19, 204, 204, 1380, 39168, 4225, 31274, 204, 204, 673, 3773, 302, 12307, 4225, 7180, 353, 3232, 311, 275, 1392, 758, 329, 275, 2501, 572, 7072, 8886, 1465, 3416, 19, 332, 4818, 1465, 273, 758, 353, 6028, 3597, 397, 490, 353, 3597, 348, 830, 1842, 302, 275, 758, 19, 3355, 17, 397, 275, 758, 353, 1392, 17, 1675, 275, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 311, 1356, 19, 204, 204, 3070, 1763, 17, 2506, 275, 4818, 388, 5797, 1842, 302, 275, 1392, 758, 529, 4720, 3343, 1058, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 20069, 17, 275, 4818, 388, 5797, 1842, 302, 275, 1392, 758, 529, 5631, 7, 353, 1425, 6028, 3597, 19, 204, 204, 1834, 1741, 5111, 4328, 339, 48287, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 490, 353, 273, 23781, 302, 275, 2501, 572, 7072, 8886, 1465, 3416, 19, 1547, 353, 1425, 3232, 311, 275, 3773, 302, 13885, 8886, 17, 1273, 273, 4818, 302, 275, 798, 388, 3719, 415, 1675, 1301, 7, 353, 6028, 3597, 397, 415, 353, 7463, 17, 16527, 302, 275, 7180, 700, 302, 1301, 19, 204, 204, 1380, 12636, 302, 34661, 204, 204, 673, 3773, 302, 12307, 4225, 7180, 1425, 13456, 311, 11947, 1283, 3416, 19, 1765, 1763, 17, 2506, 275, 4818, 388, 3070, 830, 610, 292, 275, 1392, 758, 17, 415, 13, 93, 14, 353, 3597, 3343, 1058, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 204, 204, 24911, 17, 275, 4818, 388, 2841, 2560, 610, 292, 275, 1392, 758, 1702, 496, 415, 13, 93, 14, 353, 3597, 7, 353, 6028, 7463, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 204, 204, 837, 5549, 17, 275, 1392, 758, 353, 273, 3600, 3773, 292, 9207, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 334, 1392, 758, 353, 273, 7370, 302, 2589, 758, 17, 329, 490, 353, 3232, 311, 275, 3773, 302, 12307, 4225, 7180, 17, 928, 3584, 496, 273, 4818, 1465, 273, 758, 353, 6028, 3597, 397, 490, 353, 3597, 348, 830, 1842, 302, 275, 758, 17, 2219, 397, 275, 758, 353, 1392, 19, 0, 647, 3238, 204, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 4378, 19, 18257, 448, 15482, 204, 531, 41657, 48, 291, 4949, 532, 41657, 48, 291, 4949, 204, 204, 461, 1137, 68, 2626, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 1767, 424, 497, 273, 2010, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2010, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 9387, 1767, 424, 19, 204, 264, 320, 204, 264, 407, 645, 19, 986, 13, 553, 68, 546, 14, 204, 204, 461, 3234, 68, 1386, 68, 266, 68, 2626, 13, 204, 264, 1767, 31, 645, 19, 766, 17, 716, 264, 1419, 68, 9670, 31, 458, 17, 716, 264, 771, 68, 5749, 31, 421, 17, 716, 264, 3442, 31, 818, 17, 716, 264, 2399, 68, 5053, 31, 818, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 18646, 437, 726, 292, 273, 1767, 302, 6710, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 1123, 19, 766, 330, 11881, 302, 6710, 19, 204, 268, 1419, 68, 9670, 322, 655, 330, 807, 4392, 2992, 19, 204, 268, 771, 68, 5749, 322, 339, 330, 3239, 302, 6195, 348, 41657, 18, 48, 291, 4949, 19, 204, 268, 3442, 322, 996, 330, 24346, 348, 46226, 11689, 19, 204, 268, 2399, 68, 5053, 322, 996, 330, 24346, 348, 15628, 3855, 311, 1395, 2399, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 4964, 17401, 4392, 2992, 19, 204, 264, 320, 204, 264, 314, 763, 1767, 5150, 204, 264, 1853, 17, 2198, 17, 771, 68, 7022, 289, 1767, 19, 1827, 204, 204, 264, 314, 977, 2558, 204, 264, 1395, 289, 959, 204, 264, 2399, 68, 5053, 68, 876, 289, 2399, 68, 5053, 204, 264, 1419, 68, 3143, 289, 1767, 3460, 8893, 500, 66, 204, 264, 1419, 68, 1096, 289, 645, 19, 4324, 13, 23, 14, 204, 264, 4392, 289, 645, 19, 643, 13, 3474, 68, 9670, 14, 204, 204, 264, 314, 977, 27028, 4392, 2992, 204, 264, 27028, 68, 22793, 289, 645, 19, 643, 13, 9670, 14, 204, 204, 264, 348, 296, 292, 933, 13, 920, 68, 7022, 338, 368, 330, 204, 268, 314, 763, 790, 329, 1682, 6710, 204, 268, 790, 68, 1669, 289, 1767, 3460, 8893, 296, 465, 368, 66, 204, 204, 268, 314, 888, 917, 974, 41657, 18, 48, 291, 4949, 204, 268, 917, 289, 41657, 48, 291, 4949, 13, 3474, 68, 3143, 17, 790, 68, 1669, 17, 4392, 17, 3442, 17, 771, 68, 5749, 17, 284, 21, 34, 3474, 68, 1096, 14, 204, 204, 268, 314, 888, 717, 917, 204, 268, 717, 68, 1096, 289, 917, 465, 551, 9670, 64, 21, 66, 338, 4392, 64, 21, 648, 4392, 64, 22, 66, 338, 4392, 64, 22, 2629, 204, 204, 268, 314, 888, 717, 917, 974, 41657, 18, 48, 291, 4949, 440, 1419, 2399, 204, 268, 717, 68, 1096, 68, 12113, 289, 41657, 48, 291, 4949, 13, 2626, 3460, 8893, 500, 648, 790, 68, 1669, 17, 4392, 17, 3442, 17, 771, 68, 5749, 17, 284, 21, 34, 1957, 68, 1096, 14, 204, 204, 268, 314, 888, 2652, 204, 268, 2652, 289, 645, 19, 11450, 19, 5915, 13, 1957, 68, 1096, 338, 717, 68, 1096, 68, 12113, 14, 204, 204, 268, 397, 2652, 962, 2399, 68, 5053, 68, 876, 31, 204, 305, 314, 1716, 4392, 2992, 204, 305, 722, 68, 1096, 289, 322, 1957, 68, 1096, 68, 12113, 338, 551, 9670, 64, 21, 66, 338, 4392, 64, 21, 648, 4392, 64, 22, 66, 338, 4392, 64, 22, 4097, 204, 305, 4392, 64, 21, 66, 1412, 722, 68, 1096, 64, 21, 66, 204, 305, 4392, 64, 22, 66, 1412, 722, 68, 1096, 64, 22, 66, 204, 305, 4392, 64, 23, 66, 1412, 722, 68, 1096, 64, 21, 66, 204, 305, 4392, 64, 24, 66, 1412, 722, 68, 1096, 64, 22, 66, 204, 204, 305, 314, 1716, 2399, 329, 917, 204, 305, 1419, 68, 3143, 289, 790, 68, 1669, 204, 305, 1419, 68, 1096, 289, 645, 19, 4324, 13, 23, 14, 204, 204, 305, 314, 5230, 717, 4392, 2992, 204, 305, 27028, 68, 22793, 289, 645, 19, 25658, 1802, 46917, 68, 22793, 17, 4392, 602, 204, 268, 902, 31, 204, 305, 314, 5230, 717, 4392, 2992, 204, 305, 27028, 68, 22793, 289, 645, 19, 25658, 1802, 46917, 68, 22793, 17, 551, 9670, 64, 21, 66, 465, 917, 64, 21, 648, 4392, 64, 22, 66, 465, 917, 64, 22, 648, 4392, 64, 23, 66, 465, 917, 64, 21, 648, 4392, 64, 24, 66, 465, 917, 64, 22, 32758, 204, 204, 305, 314, 1716, 917, 204, 305, 1419, 68, 1096, 289, 917, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 204, 264, 407, 27028, 68, 22793, 204, 204, 461, 8603, 68, 16493, 68, 2826, 13, 204, 264, 1767, 31, 645, 19, 766, 17, 716, 264, 4410, 68, 9319, 68, 22793, 31, 645, 19, 766, 17, 716, 264, 27028, 68, 22793, 31, 645, 19, 766, 17, 716, 264, 2023, 68, 1630, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12626, 275, 13575, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 1123, 19, 766, 330, 11881, 302, 6710, 19, 204, 268, 4410, 68, 9319, 68, 22793, 322, 1123, 19, 766, 330, 23557, 7180, 4392, 2992, 19, 204, 268, 27028, 68, 22793, 322, 1123, 19, 766, 330, 4964, 17401, 4392, 2992, 19, 204, 268, 2023, 68, 1630, 322, 655, 330, 14354, 886, 311, 8603, 19, 204, 264, 320, 204, 264, 348, 2023, 68, 1190, 292, 2023, 68, 1630, 31, 204, 268, 314, 763, 790, 2023, 329, 4392, 2992, 204, 268, 2023, 289, 1767, 3460, 8893, 2023, 68, 1190, 66, 204, 268, 4410, 68, 9319, 68, 9670, 289, 4410, 68, 9319, 68, 22793, 64, 1669, 68, 1190, 17, 10113, 204, 268, 27028, 68, 9670, 289, 27028, 68, 22793, 64, 1669, 68, 1190, 17, 10113, 204, 204, 268, 314, 666, 4368, 329, 3138, 204, 268, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 268, 314, 3740, 2023, 204, 268, 1711, 19, 8122, 13, 1669, 17, 14033, 833, 8472, 534, 204, 204, 268, 314, 1255, 4410, 7180, 4392, 204, 268, 1711, 19, 826, 68, 5690, 13, 18257, 19, 24953, 13, 204, 305, 322, 3335, 68, 9319, 68, 9670, 64, 21, 648, 4410, 68, 9319, 68, 9670, 64, 22, 5060, 716, 305, 322, 3335, 68, 9319, 68, 9670, 64, 23, 66, 338, 4410, 68, 9319, 68, 9670, 64, 21, 5060, 716, 305, 322, 3335, 68, 9319, 68, 9670, 64, 24, 66, 338, 4410, 68, 9319, 68, 9670, 64, 22, 5060, 716, 305, 38459, 833, 71, 491, 716, 305, 42685, 833, 10953, 491, 716, 305, 18953, 34, 23, 204, 268, 19634, 204, 204, 268, 314, 1255, 27028, 4392, 204, 268, 1711, 19, 826, 68, 5690, 13, 18257, 19, 24953, 13, 204, 305, 322, 46917, 68, 9670, 64, 21, 648, 27028, 68, 9670, 64, 22, 5060, 716, 305, 322, 46917, 68, 9670, 64, 23, 66, 338, 27028, 68, 9670, 64, 21, 5060, 716, 305, 322, 46917, 68, 9670, 64, 24, 66, 338, 27028, 68, 9670, 64, 22, 5060, 716, 305, 38459, 833, 87, 491, 716, 305, 42685, 833, 10953, 491, 716, 305, 18953, 34, 23, 204, 268, 19634, 204, 204, 268, 314, 3025, 4368, 204, 268, 2836, 19, 12273, 13, 75, 12, 6691, 2826, 20, 76, 24614, 6734, 68, 34710, 294, 96, 1669, 68, 1190, 3572, 4955, 491, 14185, 68, 22520, 833, 14923, 534, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 374, 204, 264, 1732, 19, 826, 68, 2389, 5919, 920, 68, 5749, 491, 1187, 34, 339, 17, 1540, 34, 13971, 17, 1340, 833, 4290, 302, 6195, 348, 41657, 18, 48, 291, 4949, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 5053, 491, 1187, 34, 996, 17, 1540, 34, 22, 74, 18, 23, 17, 1340, 833, 29807, 348, 46226, 11689, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3143, 68, 5053, 491, 1187, 34, 996, 17, 1540, 34, 26, 17, 1340, 833, 29807, 348, 15628, 3855, 311, 1395, 2399, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1385, 1767, 424, 204, 264, 1767, 289, 1137, 68, 2626, 68, 481, 34514, 481, 20, 76, 24614, 6734, 19, 12942, 431, 204, 204, 264, 314, 968, 1419, 4392, 2992, 204, 264, 1419, 68, 9670, 289, 551, 21887, 17, 36091, 17, 30786, 17, 571, 2132, 66, 204, 204, 264, 314, 1385, 4410, 7180, 4392, 2992, 204, 264, 4410, 68, 9319, 68, 22793, 289, 1137, 68, 2626, 68, 481, 611, 76, 24614, 6734, 41480, 19, 12942, 534, 204, 204, 264, 314, 18646, 726, 292, 1767, 204, 264, 27028, 68, 22793, 289, 3234, 68, 1386, 68, 266, 68, 2626, 13, 204, 268, 1767, 17, 716, 268, 1419, 68, 9670, 17, 716, 268, 2042, 19, 920, 68, 5749, 17, 716, 268, 2042, 19, 5053, 17, 716, 268, 2042, 19, 3143, 68, 5053, 204, 264, 1179, 204, 204, 264, 314, 3025, 27028, 4392, 2992, 204, 264, 645, 19, 2360, 611, 76, 24614, 6734, 41480, 18, 35439, 1644, 19, 12942, 491, 27028, 68, 22793, 14, 204, 204, 264, 314, 968, 2023, 886, 311, 8603, 204, 264, 2023, 68, 1630, 289, 551, 22, 17, 1199, 17, 2846, 17, 3382, 17, 5074, 66, 204, 204, 264, 314, 12626, 13575, 1563, 204, 264, 8603, 68, 16493, 68, 2826, 13, 2626, 17, 4410, 68, 9319, 68, 22793, 17, 27028, 68, 22793, 17, 2023, 68, 1630, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 9884, 32466, 854, 11476, 9896, 27719, 8461, 42024, 4409, 11104, 408, 6883, 11553, 6371, 30602, 10364, 408, 2253, 12516, 9768, 10120, 3784, 12261, 408, 11035, 6232, 8342, 408, 9884, 32466, 2570, 942, 18426, 41527, 854, 15143, 36996, 408, 20780, 9884, 32466, 975, 101, 2455, 9098, 408, 9884, 32466, 975, 101, 2455, 9098, 6564, 9884, 32466, 3283, 2801, 256, 204, 15433, 32466, 1116, 12836, 9884, 32466, 975, 101, 2455, 5351, 1191, 9884, 32466, 3283, 2801, 256, 23056, 16497, 1822, 3812, 204, 32466, 1116, 12836, 2499, 4736, 3827, 22401, 9884, 32466, 975, 101, 2455, 9098, 15860, 10941, 9358, 18791, 22640, 725, 19083, 725, 4121, 13769, 460, 8188, 10398, 2386, 12522, 23337, 4268, 10853, 568, 32466, 1116, 12836, 854, 1902, 942, 9884, 32466, 24615, 17363, 725, 4664, 19989, 725, 15234, 5259, 725, 20369, 10332, 39212, 24917, 26997, 3140, 204, 9884, 32466, 975, 101, 2455, 9098, 10633, 3589, 460, 1227, 41972, 9352, 29105, 460, 13391, 15772, 5890, 33105, 8922, 3812, 204, 9884, 32466, 975, 101, 2455, 9098, 8747, 3622, 5890, 1603, 9884, 32466, 975, 101, 2455, 9098, 27257, 854, 19084, 6290, 460, 408, 5643, 9884, 32466, 975, 101, 2455, 9098, 921, 8561, 17673, 9238, 854, 4485, 3590, 20662, 46244, 408, 5643, 8561, 17673, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9238, 460, 9884, 32466, 975, 101, 2455, 9098, 7813, 12840, 2065, 12489, 16081, 408, 6663, 12562, 17408, 408, 8681, 21492, 14635, 3361, 6817, 204, 44690, 942, 8684, 7282, 2657, 7960, 9884, 32466, 975, 101, 2455, 9098, 10454, 3812, 32466, 1116, 12836, 9884, 32466, 975, 101, 2455, 9098, 23328, 34679, 3812, 204, 42641, 9884, 32466, 975, 101, 2455, 9098, 12808, 2657, 28158, 9308, 23316, 2780, 12854, 2386, 21977, 2405, 33322, 8612, 18426, 16122, 408, 6429, 13751, 23037, 2145, 17662, 31970, 21307, 39639, 9308, 8418, 408, 32021, 2657, 28158, 2499, 2006, 15944, 10263, 5944, 16756, 11562, 1773, 44232, 2006, 2638, 204, 9884, 32466, 1689, 13871, 854, 9884, 32466, 975, 101, 2455, 9098, 1191, 2405, 7333, 12582, 14168, 8681, 21492, 11104, 408, 7466, 7059, 12165, 6049, 25034, 3235, 17535, 17979, 408, 1603, 4411, 3590, 8241, 34558, 408, 18906, 8342, 4411, 6472, 6371, 13191, 21472, 23427, 408, 2657, 35232, 6960, 2780, 1116, 18897, 29390, 6486, 204, 3429, 15572, 460, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 25731, 5591, 7744, 3812, 204, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 4987, 7115, 2675, 3833, 24567, 14139, 460, 18426, 29823, 1846, 11104, 3058, 16626, 2112, 33074, 8561, 17673, 9884, 32466, 975, 101, 19459, 7744, 1822, 4323, 1002, 831, 408, 6658, 25599, 1002, 14346, 408, 33242, 3429, 15572, 460, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 25731, 5591, 7744, 4770, 9416, 23342, 8922, 204, 9884, 32466, 975, 101, 2455, 9098, 26610, 47987, 6226, 20665, 8403, 261, 13274, 460, 45613, 16122, 408, 15143, 18426, 16122, 3944, 19998, 21307, 460, 8270, 11369, 29360, 17673, 4232, 45201, 3013, 408, 3362, 14794, 18426, 16122, 9862, 1367, 12354, 26148, 19533, 3131, 2336, 8561, 17673, 4562, 408, 8561, 17673, 4562, 45940, 408, 8681, 21492, 9884, 32466, 3283, 2801, 256, 12562, 26148, 2411, 48246, 408, 23056, 1886, 45940, 204, 9884, 32466, 975, 101, 2455, 9098, 26780, 5351, 19578, 7617, 4265, 5351, 19578, 3812, 204, 35411, 8498, 9884, 32466, 975, 101, 2455, 9098, 22143, 33167, 5351, 408, 2780, 13643, 9302, 19422, 38782, 9884, 32466, 975, 101, 2455, 9098, 3812, 4411, 19745, 2114, 27538, 408, 17280, 1603, 9884, 32466, 460, 11962, 7533, 9238, 408, 9754, 15699, 19422, 9884, 32466, 975, 101, 2455, 9098, 22143, 33167, 5351, 9358, 1111, 204, 32466, 1116, 12836, 3369, 5290, 5768, 33565, 9884, 32466, 975, 101, 2455, 9098, 9302, 3131, 2494, 8816, 46590, 3812, 204, 6765, 6049, 11197, 6429, 36847, 9884, 32466, 975, 101, 2455, 9098, 3131, 34918, 17754, 6770, 7059, 12612, 18517, 408, 942, 7360, 3131, 6463, 725, 942, 7360, 3131, 9862, 854, 2014, 24917, 3140, 408, 942, 7360, 3131, 2336, 8681, 21492, 23056, 408, 11204, 1438, 46590, 33628, 6122, 0, 658, 6194, 10932, 334, 3239, 10107, 681, 25966, 39139, 31824, 292, 8800, 34324, 565, 2187, 204, 204, 1449, 949, 275, 542, 302, 681, 18, 11549, 10160, 31824, 292, 1214, 15485, 37410, 17, 872, 618, 732, 273, 3277, 2089, 19, 4682, 872, 529, 8205, 681, 18, 29144, 375, 17, 872, 1519, 311, 9356, 275, 4368, 3528, 17, 928, 353, 3392, 448, 368, 2771, 435, 2771, 571, 2771, 681, 289, 3528, 19, 204, 204, 5399, 677, 1662, 311, 3120, 808, 2089, 31, 204, 204, 22, 19, 4347, 275, 542, 302, 31750, 872, 529, 46200, 19, 204, 23, 19, 3398, 1818, 681, 886, 497, 275, 1113, 542, 302, 31750, 19, 204, 24, 19, 8838, 275, 886, 4430, 329, 3281, 560, 3528, 19, 204, 204, 1380, 9134, 31, 204, 204, 15, 720, 31750, 31, 720, 2771, 681, 2771, 571, 2771, 435, 7410, 3528, 289, 720, 204, 15, 1598, 31750, 31, 1598, 2771, 2958, 2771, 931, 2771, 1233, 7410, 3528, 289, 681, 4957, 204, 15, 2019, 31750, 31, 2019, 2771, 3528, 2771, 5773, 2771, 5436, 7410, 3528, 289, 1598, 17, 31766, 204, 204, 5009, 618, 5620, 275, 4183, 560, 20799, 2772, 685, 275, 2323, 3857, 19, 1765, 1763, 17, 292, 275, 1322, 302, 1598, 31750, 17, 872, 618, 13668, 685, 275, 681, 2771, 571, 2771, 435, 322, 2609, 3528, 14, 440, 275, 5533, 542, 3528, 17, 12637, 872, 440, 1598, 2771, 2958, 2771, 1233, 7410, 435, 289, 681, 4957, 37410, 19, 204, 204, 4931, 273, 6506, 618, 1425, 1895, 275, 4183, 43623, 329, 9509, 19, 28832, 4122, 275, 886, 4430, 329, 3281, 560, 3528, 311, 636, 275, 1113, 542, 302, 681, 18, 11549, 10160, 31824, 19, 0, 5399, 529, 275, 2821, 3490, 2900, 8557, 1483, 31, 204, 204, 22, 19, 930, 5842, 15009, 288, 311, 29937, 1416, 226, 204, 7820, 440, 368, 17, 1207, 17, 1207, 523, 273, 6506, 19, 20310, 808, 311, 1168, 974, 1698, 275, 1168, 896, 329, 275, 2758, 881, 17, 5400, 17, 4122, 17, 3281, 17, 329, 9329, 19, 204, 204, 23, 19, 930, 38, 32815, 605, 5248, 1416, 226, 204, 7820, 440, 6449, 329, 20628, 5400, 1233, 17, 16780, 17090, 448, 872, 1307, 19, 204, 204, 24, 19, 930, 16383, 15765, 19714, 1416, 226, 204, 11345, 275, 886, 292, 275, 2871, 311, 838, 4125, 496, 881, 719, 311, 273, 2415, 542, 17, 974, 848, 542, 1698, 5602, 19, 204, 204, 25, 19, 930, 15297, 23016, 18931, 226, 204, 18355, 273, 4414, 311, 4481, 1025, 273, 542, 4094, 19, 204, 204, 26, 19, 930, 41, 3128, 84, 8587, 1416, 226, 204, 15045, 2400, 5566, 435, 560, 435, 2549, 1936, 720, 329, 2885, 2075, 435, 560, 931, 1120, 444, 19, 204, 204, 27, 19, 930, 38, 9748, 302, 8587, 1416, 226, 204, 17629, 275, 886, 368, 18, 29, 1025, 9725, 754, 496, 3420, 9079, 529, 1706, 19, 204, 204, 28, 19, 930, 30039, 25035, 31, 18447, 18, 19928, 14014, 9748, 1416, 226, 204, 5964, 273, 6246, 18, 19928, 11192, 2415, 329, 4151, 1855, 2902, 19, 204, 204, 29, 19, 930, 37930, 273, 21635, 1416, 226, 204, 31676, 273, 13333, 5082, 292, 2415, 4131, 302, 2637, 11078, 19, 3239, 275, 11078, 497, 275, 1913, 17, 4145, 440, 368, 17, 329, 3822, 928, 11078, 529, 5104, 5084, 275, 1043, 6871, 19, 204, 204, 30, 19, 930, 35937, 5689, 7035, 1416, 226, 204, 6431, 275, 1019, 302, 275, 14372, 6072, 292, 275, 1066, 31, 21626, 3376, 465, 44076, 289, 35368, 19, 204, 204, 1003, 19, 930, 40, 533, 6455, 1416, 226, 204, 14225, 437, 4998, 1066, 1273, 6072, 1173, 3258, 368, 18, 30, 17, 800, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 332, 34, 24, 329, 412, 34, 23, 19, 204, 204, 1641, 19, 930, 40, 15099, 25203, 37128, 1416, 226, 204, 21153, 275, 542, 302, 11078, 302, 848, 1848, 1376, 311, 2270, 273, 571, 93, 24, 93, 24, 6871, 440, 4720, 11078, 3332, 273, 10302, 6871, 17, 1675, 5631, 11078, 3332, 275, 4720, 6871, 17, 329, 754, 523, 19, 204, 204, 1258, 19, 930, 8390, 24513, 7054, 6903, 3300, 392, 623, 521, 392, 19437, 348, 7609, 1416, 226, 204, 11345, 6121, 302, 2481, 700, 311, 16564, 437, 13952, 292, 273, 1470, 19, 204, 204, 2353, 19, 930, 4290, 35058, 1416, 226, 204, 17629, 886, 368, 18, 30, 292, 5537, 754, 496, 275, 2712, 1283, 12174, 5537, 353, 4069, 19, 204, 204, 2300, 19, 930, 24887, 1416, 226, 204, 17629, 886, 368, 18, 1003, 292, 9725, 754, 496, 848, 542, 353, 275, 2712, 1283, 275, 970, 886, 5084, 490, 19, 204, 204, 1909, 19, 930, 40, 391, 333, 14258, 23434, 1416, 226, 204, 17497, 273, 1470, 348, 435, 6453, 496, 11845, 11043, 521, 904, 2821, 2758, 19, 204, 204, 1845, 19, 930, 16710, 342, 9748, 1416, 226, 204, 48645, 886, 1283, 368, 329, 1233, 292, 273, 8302, 342, 9748, 754, 496, 848, 1653, 9321, 311, 275, 1729, 1113, 19, 204, 204, 2314, 19, 930, 11683, 334, 82, 10932, 322, 23, 12541, 226, 204, 21153, 275, 542, 523, 1214, 2786, 329, 10065, 1169, 3758, 19, 204, 204, 2132, 19, 930, 3417, 16775, 275, 30284, 1416, 226, 204, 46926, 10405, 1880, 630, 2153, 2415, 5630, 496, 9908, 681, 1880, 17, 440, 1236, 1392, 6759, 19, 204, 204, 1794, 19, 930, 63, 44362, 501, 2215, 1416, 226, 204, 21153, 275, 542, 302, 28655, 4331, 311, 1895, 6320, 39123, 348, 275, 16020, 302, 275, 8504, 2747, 44362, 19, 204, 204, 1036, 19, 930, 53, 580, 299, 275, 415, 6054, 39456, 1416, 226, 204, 53, 580, 1233, 14013, 302, 7475, 497, 1051, 30682, 311, 3161, 3119, 1422, 529, 6488, 571, 14013, 292, 2327, 302, 275, 12968, 405, 19, 204, 204, 3699, 19, 930, 39199, 7440, 292, 275, 14355, 1416, 226, 204, 11345, 8886, 311, 3822, 275, 542, 302, 848, 1187, 302, 24980, 292, 31162, 19, 204, 204, 2898, 19, 930, 13936, 5403, 2410, 48563, 1416, 226, 204, 15045, 2400, 1662, 886, 529, 8210, 292, 273, 5403, 2410, 11228, 329, 1800, 3015, 329, 2630, 19, 204, 204, 3787, 19, 930, 14865, 2483, 1416, 226, 204, 21153, 275, 5527, 329, 4794, 2237, 542, 302, 11522, 292, 273, 2415, 1273, 886, 571, 329, 931, 529, 7283, 848, 904, 19, 204, 204, 2500, 19, 930, 45986, 14606, 1416, 226, 204, 17497, 273, 1470, 348, 435, 521, 1182, 6453, 496, 11845, 4998, 17, 11043, 17, 6177, 17, 329, 4854, 19, 204, 204, 1511, 19, 930, 8390, 24513, 7054, 6903, 3300, 392, 623, 521, 392, 19437, 1416, 226, 204, 17497, 18917, 10537, 302, 273, 8445, 1470, 19, 204, 204, 4635, 19, 930, 5834, 6370, 13056, 1416, 226, 204, 4421, 521, 5400, 886, 523, 8445, 329, 4921, 275, 722, 523, 273, 2333, 17, 9221, 311, 636, 273, 1007, 302, 2327, 19, 204, 204, 4343, 19, 930, 12124, 329, 7609, 1416, 226, 204, 6431, 5169, 311, 273, 1066, 1273, 1792, 6072, 10762, 348, 1792, 886, 19, 204, 204, 4023, 19, 930, 17629, 9729, 9649, 292, 275, 1581, 368, 435, 571, 681, 720, 887, 1168, 1132, 1233, 289, 10923, 1416, 226, 204, 21153, 1662, 1910, 3942, 808, 618, 444, 3870, 19, 204, 204, 4734, 19, 930, 17629, 6699, 23561, 30902, 32846, 1025, 273, 2871, 1416, 226, 204, 29459, 970, 30902, 32846, 292, 2589, 1837, 329, 1237, 19, 204, 204, 2188, 19, 930, 7366, 2974, 1416, 226, 204, 17497, 273, 2585, 302, 275, 19763, 3398, 2974, 5180, 19, 204, 204, 5639, 19, 930, 40732, 4208, 275, 7035, 1416, 226, 204, 6431, 275, 1066, 302, 275, 3258, 292, 275, 542, 32008, 329, 3822, 1662, 1910, 904, 886, 874, 275, 1729, 1113, 1101, 1236, 7152, 19, 204, 204, 2177, 19, 930, 7154, 10892, 8203, 1416, 226, 204, 5118, 6711, 273, 1576, 1609, 523, 970, 1792, 2727, 886, 2202, 1194, 931, 19, 204, 204, 3268, 19, 930, 17856, 4085, 41476, 1416, 226, 204, 48645, 15066, 25396, 292, 273, 2415, 2092, 2254, 302, 23389, 4207, 754, 496, 1422, 529, 2019, 4558, 848, 5999, 19, 204, 204, 5091, 19, 930, 38, 18, 5535, 787, 3239, 36632, 1416, 226, 204, 7820, 630, 1169, 2092, 292, 273, 11192, 2415, 329, 1307, 1924, 2589, 2092, 17, 6186, 685, 273, 1113, 302, 2153, 19, 204, 204, 4049, 19, 930, 29571, 447, 1416, 226, 204, 6431, 275, 1066, 302, 830, 2327, 18, 4289, 886, 440, 1698, 4069, 3258, 19, 204, 204, 3701, 19, 930, 35534, 490, 9461, 1416, 226, 204, 15045, 2400, 275, 37715, 1547, 6, 1470, 329, 1020, 273, 9822, 6684, 19, 204, 204, 4462, 19, 930, 45, 10615, 17, 41573, 1416, 226, 204, 21153, 275, 542, 302, 3942, 311, 1895, 273, 781, 24531, 31743, 34113, 440, 4236, 13624, 19, 204, 204, 5049, 19, 930, 40, 30264, 10037, 10442, 1162, 1416, 226, 204, 40026, 1662, 273, 2786, 17764, 5994, 19, 204, 204, 6221, 19, 930, 21643, 34973, 1416, 226, 204, 6431, 5544, 886, 496, 881, 719, 292, 4125, 311, 800, 8598, 19, 204, 204, 2169, 19, 930, 2920, 13448, 18931, 226, 204, 21153, 275, 2523, 302, 848, 6914, 974, 800, 1483, 19, 204, 204, 7879, 19, 930, 7226, 953, 560, 8587, 1416, 226, 204, 18106, 886, 348, 6072, 292, 8598, 19, 204, 204, 5820, 19, 930, 5824, 11378, 1416, 226, 204, 6431, 1792, 3942, 311, 2279, 10405, 974, 720, 303, 17432, 19, 204, 204, 7698, 19, 930, 61, 4208, 720, 19714, 1416, 226, 204, 48645, 720, 1792, 3258, 292, 273, 4393, 754, 496, 490, 16757, 4153, 4042, 19, 204, 204, 4832, 19, 930, 5834, 6370, 13056, 348, 7609, 1416, 226, 204, 17497, 273, 1470, 348, 437, 6986, 329, 1656, 974, 8445, 886, 329, 4998, 521, 11043, 19, 204, 204, 2985, 19, 930, 41, 369, 1389, 22975, 1416, 226, 204, 6431, 4520, 886, 523, 273, 303, 369, 1389, 20777, 1273, 848, 4678, 353, 27368, 754, 496, 886, 3332, 848, 34945, 3469, 881, 719, 311, 9806, 19, 204, 204, 7378, 19, 930, 6425, 516, 1416, 226, 204, 17497, 437, 5209, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1470, 348, 970, 6453, 19, 204, 204, 7326, 19, 930, 12124, 47535, 22308, 375, 1416, 226, 204, 21153, 275, 2666, 496, 618, 444, 9140, 974, 970, 15926, 48460, 496, 3074, 681, 329, 1168, 4112, 311, 1392, 19, 204, 204, 4553, 19, 930, 673, 415, 4890, 8149, 558, 302, 552, 341, 5720, 1416, 226, 204, 28961, 19116, 275, 1792, 886, 302, 1880, 329, 27960, 1609, 523, 275, 1113, 542, 302, 13624, 19, 204, 204, 7298, 19, 930, 10461, 13056, 1416, 226, 204, 7937, 275, 1043, 311, 4151, 273, 1237, 302, 2327, 292, 273, 1470, 19, 0, 14225, 275, 8047, 322, 93, 465, 571, 4061, 29, 962, 322, 93, 338, 571, 4061, 26, 19, 204, 204, 1449, 2616, 808, 8047, 17, 572, 618, 1012, 560, 9137, 1855, 2902, 560, 2846, 17, 928, 353, 275, 3406, 2323, 3536, 302, 1132, 329, 720, 17, 311, 13776, 275, 6249, 19, 204, 204, 13, 93, 465, 571, 4061, 29, 962, 322, 93, 338, 571, 4061, 26, 204, 204, 22167, 1855, 2902, 560, 2846, 31, 204, 26, 13, 93, 465, 571, 14, 962, 1132, 13, 93, 338, 571, 14, 204, 204, 17055, 1855, 2902, 31, 204, 26, 93, 465, 2153, 962, 1132, 93, 338, 3528, 204, 204, 20946, 720, 93, 497, 1855, 2902, 31, 204, 1909, 962, 571, 93, 338, 3528, 204, 204, 20542, 3528, 311, 1855, 2902, 31, 204, 6221, 962, 571, 93, 204, 204, 20367, 1855, 2902, 560, 571, 31, 204, 2353, 962, 610, 204, 204, 2551, 17, 275, 1988, 311, 275, 8047, 353, 610, 1323, 2989, 19, 204, 204, 673, 1988, 758, 353, 463, 93, 1164, 610, 11966, 361, 329, 610, 1323, 2989, 3572, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 1498, 532, 783, 204, 204, 461, 1137, 68, 14673, 68, 481, 13, 3396, 68, 546, 31, 394, 17, 424, 68, 546, 31, 394, 17, 3906, 68, 2199, 31, 783, 64, 325, 694, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 7513, 424, 497, 275, 1713, 2002, 329, 424, 3630, 19, 204, 204, 264, 457, 31, 204, 268, 2002, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2002, 1445, 19, 204, 268, 424, 68, 546, 322, 325, 330, 334, 832, 311, 275, 424, 1445, 19, 204, 268, 3906, 68, 2199, 322, 1218, 64, 325, 1037, 332, 458, 302, 3906, 1987, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 7513, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 6505, 497, 275, 1713, 2002, 329, 424, 3630, 204, 264, 7513, 68, 481, 289, 906, 505, 68, 481, 68, 4588, 13, 3396, 68, 546, 17, 424, 68, 546, 17, 3906, 68, 2199, 14, 204, 615, 264, 314, 2208, 690, 311, 3331, 204, 264, 7513, 68, 481, 736, 834, 839, 289, 7513, 68, 481, 736, 834, 839, 802, 368, 74, 30, 204, 615, 264, 407, 7513, 68, 481, 204, 204, 461, 1137, 68, 14673, 68, 4591, 13, 3396, 68, 546, 31, 394, 17, 2002, 68, 417, 31, 394, 17, 4781, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 7513, 3688, 497, 275, 1713, 2002, 329, 4781, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 2002, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2002, 1445, 19, 204, 268, 2002, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2002, 19, 204, 268, 4781, 68, 932, 322, 325, 330, 334, 1187, 302, 4781, 322, 74, 19, 76, 2458, 379, 2721, 3930, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 7513, 3688, 19, 204, 264, 320, 204, 264, 314, 1385, 4781, 1187, 424, 497, 275, 1713, 2002, 329, 4781, 1187, 204, 264, 7513, 68, 4591, 289, 906, 505, 68, 8264, 68, 932, 68, 481, 13, 3396, 68, 546, 17, 2002, 68, 417, 17, 4781, 68, 932, 14, 204, 615, 264, 407, 7513, 68, 4591, 204, 204, 461, 7009, 68, 14673, 68, 481, 13, 14673, 68, 481, 31, 1246, 19, 1362, 17, 7513, 68, 4591, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12589, 275, 7513, 424, 329, 3688, 19, 204, 204, 264, 457, 31, 204, 268, 7513, 68, 481, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 424, 19, 204, 268, 7513, 68, 4591, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 3688, 19, 204, 264, 320, 204, 264, 314, 888, 7513, 1586, 3731, 204, 264, 2736, 68, 1087, 68, 4336, 68, 14472, 289, 906, 505, 68, 2721, 68, 1087, 68, 12024, 13, 14673, 68, 481, 14, 204, 615, 264, 314, 6119, 4249, 618, 444, 8942, 3237, 204, 264, 456, 499, 36941, 6408, 24962, 2212, 204, 264, 456, 13, 2721, 68, 1087, 68, 4336, 68, 14472, 14, 204, 204, 461, 1807, 68, 14673, 68, 481, 13, 14673, 68, 481, 31, 1246, 19, 1362, 17, 3906, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 7513, 424, 348, 275, 1713, 3906, 19, 204, 204, 264, 457, 31, 204, 268, 7513, 68, 481, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 424, 19, 204, 268, 3906, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3906, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 440, 273, 1713, 1302, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 29, 17, 720, 19, 26, 602, 204, 615, 264, 314, 3045, 275, 7513, 424, 348, 275, 1713, 3906, 204, 264, 1513, 19, 1657, 13, 14673, 68, 481, 736, 834, 2043, 7513, 68, 481, 64, 4782, 68, 417, 694, 204, 615, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 2002, 329, 424, 3630, 204, 264, 2002, 68, 546, 289, 43404, 5709, 56, 27742, 20, 20798, 91, 934, 9248, 204, 264, 424, 68, 546, 289, 379, 3383, 989, 20, 45542, 989, 20, 29624, 989, 9248, 204, 615, 264, 314, 968, 3906, 1987, 204, 264, 3906, 68, 2199, 289, 2470, 2721, 22, 53, 491, 379, 2721, 23, 53, 491, 379, 2721, 24, 53, 839, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 615, 264, 314, 968, 2002, 588, 329, 4781, 1187, 204, 264, 2002, 68, 417, 289, 379, 20798, 91, 934, 12, 204, 264, 4781, 68, 932, 289, 379, 2721, 12, 204, 204, 264, 314, 1385, 7513, 424, 329, 3688, 204, 264, 7513, 68, 481, 289, 1137, 68, 14673, 68, 481, 13, 3396, 68, 546, 17, 424, 68, 546, 17, 3906, 68, 2199, 14, 204, 264, 7513, 68, 4591, 289, 1137, 68, 14673, 68, 4591, 13, 3396, 68, 546, 17, 2002, 68, 417, 17, 4781, 68, 932, 14, 204, 204, 264, 314, 12589, 7513, 424, 329, 3688, 204, 264, 7009, 68, 14673, 68, 481, 13, 14673, 68, 481, 17, 7513, 68, 4591, 14, 204, 204, 264, 314, 3045, 7513, 424, 348, 848, 3906, 204, 264, 348, 3906, 68, 417, 292, 3906, 68, 2199, 31, 204, 268, 1807, 68, 14673, 68, 481, 13, 14673, 68, 481, 17, 3906, 68, 417, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 204, 8, 7614, 38532, 348, 8348, 3263, 204, 461, 906, 505, 68, 481, 68, 4588, 13, 3396, 68, 546, 31, 394, 17, 424, 68, 546, 31, 394, 17, 3906, 68, 2199, 31, 783, 64, 325, 694, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 989, 1571, 3367, 204, 264, 532, 2010, 448, 645, 204, 264, 690, 289, 645, 19, 8268, 13, 21, 17, 1607, 17, 368, 14, 204, 264, 2736, 22, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 2736, 23, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 2736, 24, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 407, 1246, 19, 1362, 6758, 834, 597, 690, 17, 379, 2721, 22, 53, 597, 2736, 22, 53, 17, 379, 2721, 23, 53, 597, 2736, 23, 53, 17, 379, 2721, 24, 53, 597, 2736, 24, 53, 1937, 204, 204, 461, 906, 505, 68, 8264, 68, 932, 68, 481, 13, 3396, 68, 546, 31, 394, 17, 2002, 68, 417, 31, 394, 17, 4781, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 17300, 2191, 989, 204, 264, 407, 1246, 19, 1362, 6758, 8264, 68, 932, 597, 551, 8264, 68, 932, 23647, 204, 204, 461, 906, 505, 68, 2721, 68, 1087, 68, 12024, 13, 14673, 68, 481, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 13529, 2108, 48125, 204, 264, 407, 1246, 19, 1362, 6758, 2721, 68, 1087, 68, 12024, 597, 551, 22, 17, 435, 17, 571, 23647, 204, 0, 647, 5683, 204, 531, 1559, 39602, 19, 4969, 532, 25712, 1655, 17, 1359, 17, 10617, 17, 25785, 204, 531, 1559, 39602, 19, 4165, 532, 9182, 204, 531, 1276, 34214, 19, 1234, 19, 3978, 19, 31286, 532, 322, 826, 68, 1386, 68, 8340, 17, 4028, 68, 898, 68, 1309, 17, 204, 264, 12745, 17212, 14, 204, 204, 461, 838, 68, 809, 374, 393, 25712, 1655, 31, 204, 264, 320, 204, 264, 666, 273, 2802, 39602, 570, 440, 273, 758, 17, 6808, 17, 329, 2558, 19, 204, 615, 264, 475, 31, 204, 268, 25712, 1655, 31, 332, 2802, 39602, 570, 19, 204, 264, 320, 204, 264, 570, 289, 25712, 1655, 374, 204, 264, 570, 19, 88, 289, 1359, 13, 9462, 3603, 22, 17, 435, 17, 571, 694, 204, 264, 570, 19, 71, 22, 289, 10617, 374, 204, 264, 570, 19, 71, 23, 289, 10617, 374, 204, 615, 264, 314, 977, 2558, 204, 264, 570, 19, 71, 22, 19, 93, 289, 25785, 13, 9462, 34, 24, 14, 204, 264, 570, 19, 71, 22, 19, 94, 289, 25785, 1568, 21, 17, 22, 648, 5345, 2508, 21, 31, 25, 17, 22, 31, 26, 1937, 204, 264, 570, 19, 71, 22, 19, 95, 289, 25785, 1568, 21, 17, 22, 648, 3134, 38, 528, 388, 39, 2869, 5345, 2508, 204, 268, 322, 21, 17, 388, 38, 6471, 27, 17, 322, 21, 17, 388, 39, 6471, 28, 17, 322, 22, 5167, 38, 6471, 29, 17, 322, 22, 5167, 39, 6471, 30, 1937, 204, 264, 570, 19, 71, 23, 19, 93, 289, 25785, 13, 9462, 34, 22, 14, 204, 264, 570, 19, 71, 23, 19, 94, 289, 25785, 1568, 21, 17, 22, 648, 5345, 34, 22, 14, 204, 264, 570, 19, 71, 23, 19, 95, 289, 25785, 1568, 21, 17, 22, 648, 3134, 38, 528, 388, 39, 2869, 5345, 34, 22, 14, 204, 615, 264, 314, 666, 14542, 204, 264, 570, 19, 71, 22, 19, 898, 289, 9182, 374, 204, 264, 570, 19, 71, 23, 19, 898, 289, 9182, 374, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 93, 17, 388, 93, 431, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 94, 17, 388, 94, 431, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 95, 17, 388, 95, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 93, 17, 388, 93, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 94, 17, 388, 94, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 95, 17, 388, 95, 431, 204, 615, 264, 407, 570, 204, 204, 461, 683, 68, 826, 68, 1386, 68, 8340, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5209, 437, 726, 4398, 311, 273, 570, 19, 204, 264, 320, 204, 264, 570, 289, 838, 68, 809, 374, 204, 264, 314, 1255, 726, 4398, 204, 264, 881, 68, 1386, 68, 8340, 13, 809, 17, 388, 804, 68, 3484, 528, 570, 19, 88, 14, 204, 264, 2136, 11089, 13, 809, 17, 388, 804, 68, 3484, 431, 204, 264, 2136, 570, 19, 804, 68, 3484, 564, 570, 19, 88, 204, 204, 461, 683, 68, 826, 68, 1386, 68, 8340, 68, 7639, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5209, 437, 726, 4398, 311, 273, 570, 17, 46223, 8228, 19, 204, 264, 320, 204, 264, 570, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1650, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 15660, 31, 334, 4000, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4000, 1014, 348, 275, 3017, 1650, 204, 264, 4000, 289, 15660, 13, 748, 14, 204, 264, 407, 4000, 204, 204, 461, 838, 68, 25069, 13, 748, 31, 726, 17, 1863, 31, 726, 14, 393, 26642, 31, 204, 264, 320, 204, 264, 666, 273, 23314, 1014, 348, 1104, 6447, 19, 204, 204, 264, 457, 31, 204, 268, 740, 322, 1386, 330, 334, 3017, 1650, 1014, 19, 204, 268, 1863, 322, 1386, 330, 334, 1104, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 26642, 31, 334, 23314, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 23314, 1014, 348, 1104, 6447, 204, 264, 23314, 289, 26642, 13, 748, 17, 1863, 14, 204, 264, 407, 23314, 204, 204, 461, 881, 68, 6792, 13, 2754, 31, 15660, 17, 23314, 31, 26642, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1255, 5453, 311, 275, 4000, 19, 204, 204, 264, 457, 31, 204, 268, 4000, 322, 3313, 330, 334, 4000, 1014, 19, 204, 268, 23314, 322, 50, 352, 1949, 330, 334, 23314, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1255, 275, 23314, 1354, 311, 275, 4000, 204, 264, 4000, 19, 826, 68, 2196, 499, 1479, 528, 26642, 7352, 14, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 1523, 2923, 374, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 3017, 4383, 1981, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 2466, 275, 3017, 4383, 1981, 204, 268, 4433, 68, 748, 19, 1777, 13, 2463, 1022, 10779, 19, 21, 19, 21, 19, 22, 528, 2054, 34, 14789, 17, 5344, 34, 1021, 14, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 3219, 374, 393, 443, 31, 204, 268, 320, 204, 268, 666, 830, 1104, 5630, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 666, 830, 1104, 5630, 204, 268, 440, 4433, 68, 748, 19, 748, 68, 3348, 1293, 204, 305, 1863, 19, 1510, 68, 668, 374, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 838, 68, 4159, 68, 816, 374, 393, 443, 31, 204, 268, 320, 204, 268, 666, 437, 3051, 575, 440, 10390, 4997, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 4390, 1945, 6500, 204, 268, 497, 22349, 532, 22349, 204, 268, 497, 27289, 19, 12538, 532, 1900, 68, 1989, 68, 4074, 204, 204, 268, 314, 666, 437, 3051, 575, 440, 10390, 4997, 204, 268, 440, 4433, 68, 748, 19, 748, 68, 3348, 1293, 204, 305, 1692, 289, 537, 499, 2101, 3051, 1692, 31, 2810, 204, 305, 2143, 289, 537, 499, 2101, 3051, 2143, 31, 2810, 204, 305, 1482, 289, 22349, 499, 2101, 3051, 1482, 31, 2810, 204, 305, 8184, 68, 1989, 289, 22349, 499, 30008, 3051, 1482, 31, 2810, 204, 204, 305, 397, 1482, 2167, 8184, 68, 1989, 31, 204, 485, 456, 499, 41506, 770, 508, 2216, 19, 5443, 372, 299, 1280, 204, 485, 407, 204, 204, 305, 575, 289, 2221, 13, 204, 485, 1692, 34, 2302, 17, 204, 485, 2143, 34, 2574, 17, 204, 485, 1482, 34, 4776, 68, 1989, 68, 4074, 13, 1989, 659, 204, 485, 16671, 34, 3170, 17, 204, 305, 1179, 204, 305, 1863, 19, 2488, 19, 826, 13, 816, 14, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 456, 499, 6536, 575, 1966, 4073, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 4000, 1014, 204, 264, 4000, 289, 838, 68, 2754, 13, 9879, 68, 748, 14, 204, 204, 264, 314, 666, 273, 23314, 1014, 204, 264, 23314, 289, 838, 68, 25069, 13, 9879, 68, 748, 17, 1863, 14, 204, 204, 264, 314, 1255, 5453, 311, 275, 4000, 204, 264, 881, 68, 6792, 13, 2754, 17, 23314, 14, 204, 204, 264, 314, 2466, 275, 4000, 204, 264, 4000, 19, 1777, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 4504, 273, 3277, 3017, 1650, 440, 273, 3612, 6955, 19, 204, 3837, 9713, 575, 6718, 329, 2924, 7800, 19, 204, 315, 204, 204, 8, 4390, 275, 3017, 850, 497, 275, 4433, 2413, 19, 204, 531, 4433, 532, 3017, 17, 5908, 17, 824, 204, 204, 8, 666, 273, 717, 1014, 302, 275, 3017, 1650, 19, 204, 748, 31, 3017, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 955, 311, 1640, 575, 424, 292, 4843, 348, 12116, 19, 204, 8, 592, 273, 2318, 18, 6715, 1650, 17, 808, 424, 1784, 444, 6929, 292, 273, 1104, 19, 204, 4162, 68, 481, 31, 1135, 289, 463, 204, 264, 388, 816, 22, 559, 2832, 1989, 559, 388, 1989, 22, 528, 388, 2302, 559, 388, 816, 22, 37, 2569, 19, 1453, 7832, 204, 264, 388, 816, 23, 559, 2832, 1989, 559, 388, 1989, 23, 528, 388, 2302, 559, 388, 816, 23, 37, 2569, 19, 1453, 7832, 204, 98, 204, 204, 461, 4080, 68, 816, 13, 2574, 31, 394, 17, 1482, 31, 394, 17, 1692, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 19795, 273, 717, 575, 440, 275, 800, 2143, 17, 1482, 17, 329, 1692, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2143, 322, 325, 330, 334, 2143, 7540, 560, 275, 575, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 7540, 560, 275, 575, 19, 204, 264, 338, 1692, 322, 325, 330, 334, 1692, 1995, 302, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 959, 397, 275, 575, 867, 9882, 4073, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 2861, 2560, 19, 204, 264, 397, 2143, 292, 3612, 68, 481, 31, 204, 268, 407, 1078, 204, 615, 264, 314, 1255, 275, 717, 575, 311, 275, 3612, 424, 955, 19, 204, 264, 3612, 68, 481, 64, 2574, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 66, 289, 2832, 1989, 559, 1482, 17, 388, 2302, 559, 1692, 98, 204, 264, 407, 959, 204, 204, 461, 2924, 68, 816, 13, 2574, 31, 394, 17, 1482, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 15616, 292, 273, 575, 440, 275, 800, 2143, 329, 1482, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 302, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 959, 397, 275, 575, 867, 11314, 292, 4073, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 2560, 329, 275, 1482, 353, 1706, 19, 204, 264, 397, 2143, 292, 3612, 68, 481, 329, 3612, 68, 481, 64, 2574, 10017, 1989, 1339, 564, 1482, 31, 204, 268, 407, 959, 204, 264, 407, 1078, 204, 204, 8, 968, 273, 5143, 348, 575, 6718, 19, 204, 37, 748, 19, 3955, 6343, 4216, 528, 2986, 8090, 4252, 3808, 204, 461, 2906, 68, 4216, 1293, 204, 264, 320, 204, 264, 5133, 575, 6718, 2164, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2084, 958, 5850, 3855, 275, 6718, 867, 2707, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2143, 17, 1482, 17, 329, 1692, 497, 275, 824, 2484, 19, 204, 264, 424, 289, 824, 19, 1775, 204, 264, 2143, 289, 424, 19, 505, 499, 2574, 431, 204, 264, 1482, 289, 424, 19, 505, 499, 1989, 431, 204, 264, 1692, 289, 424, 19, 505, 499, 2302, 431, 204, 204, 264, 314, 6676, 275, 575, 329, 407, 275, 722, 19, 204, 264, 397, 4080, 68, 816, 13, 2574, 17, 1482, 17, 1692, 330, 204, 268, 407, 5908, 7075, 1454, 559, 388, 2491, 9882, 4073, 20327, 17415, 204, 264, 902, 31, 204, 268, 407, 5908, 7075, 1454, 559, 388, 16251, 2861, 2560, 20327, 5953, 204, 204, 8, 968, 273, 5143, 348, 575, 2924, 19, 204, 37, 748, 19, 3955, 6343, 3424, 528, 2986, 8090, 4252, 3808, 204, 461, 2906, 68, 3424, 1293, 204, 264, 320, 204, 264, 5133, 575, 2924, 2164, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2084, 958, 5850, 3855, 275, 2924, 867, 2707, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2143, 329, 1482, 497, 275, 824, 2484, 19, 204, 264, 424, 289, 824, 19, 1775, 204, 264, 2143, 289, 424, 19, 505, 499, 2574, 431, 204, 264, 1482, 289, 424, 19, 505, 499, 1989, 431, 204, 204, 264, 314, 8196, 275, 575, 329, 407, 275, 722, 19, 204, 264, 397, 2924, 68, 816, 13, 2574, 17, 1482, 330, 204, 268, 407, 5908, 7075, 1454, 559, 388, 2491, 11314, 292, 4073, 20327, 2031, 204, 264, 902, 31, 204, 268, 407, 5908, 7075, 1454, 559, 388, 1962, 2143, 521, 1482, 20327, 21913, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 314, 2466, 275, 3017, 1650, 292, 5344, 2291, 19, 204, 268, 314, 1058, 353, 7562, 348, 4383, 1101, 1856, 444, 758, 311, 1078, 292, 5627, 19, 204, 268, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1650, 21942, 19, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 763, 273, 818, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 575, 677, 537, 448, 273, 818, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1814, 575, 537, 311, 273, 818, 204, 305, 407, 818, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 1426, 2872, 537, 329, 3176, 575, 311, 810, 2528, 204, 305, 456, 499, 5977, 30674, 7303, 43009, 19, 28107, 6972, 17, 7638, 277, 794, 15692, 1280, 204, 204, 461, 949, 68, 5670, 13, 1630, 31, 458, 64, 996, 694, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 2480, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 996, 1037, 334, 458, 302, 886, 311, 2480, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 2480, 302, 275, 886, 19, 204, 264, 320, 204, 264, 314, 778, 348, 1392, 458, 311, 4516, 4854, 560, 2962, 908, 204, 264, 397, 508, 886, 31, 204, 268, 980, 987, 499, 18595, 30807, 355, 36409, 2432, 8433, 12307, 33927, 431, 204, 264, 407, 1066, 13, 1630, 14, 802, 1245, 13, 1630, 14, 204, 204, 461, 636, 68, 1630, 68, 531, 68, 816, 13, 920, 68, 765, 31, 421, 14, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 765, 322, 339, 330, 334, 542, 302, 1019, 311, 636, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 332, 458, 302, 886, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 886, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 22, 17, 771, 68, 765, 465, 368, 330, 204, 268, 314, 763, 575, 537, 348, 848, 542, 204, 268, 771, 289, 636, 68, 816, 68, 768, 13, 75, 7, 38631, 731, 22026, 463, 78, 2829, 2810, 204, 268, 886, 19, 1223, 13, 920, 14, 204, 264, 407, 886, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 542, 302, 1019, 311, 636, 497, 275, 575, 204, 264, 771, 68, 765, 289, 571, 204, 204, 264, 314, 763, 575, 537, 204, 264, 886, 289, 636, 68, 1630, 68, 531, 68, 816, 13, 920, 68, 765, 14, 204, 204, 264, 314, 888, 329, 456, 275, 2480, 204, 264, 810, 31, 204, 268, 2480, 289, 949, 68, 5670, 13, 1630, 14, 204, 268, 456, 13, 75, 7, 20133, 426, 3569, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84, 355, 30917, 463, 920, 68, 765, 98, 36409, 3077, 31, 463, 5670, 4567, 23, 75, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 74, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 10588, 521, 3416, 273, 700, 496, 10335, 3855, 275, 10406, 1014, 353, 31317, 292, 16062, 3511, 19, 204, 5039, 10532, 31, 45276, 45350, 322, 266, 45276, 45350, 19, 31220, 14, 204, 22189, 7596, 348, 1504, 8859, 31, 4778, 1963, 24424, 19, 4432, 16480, 19, 1453, 20, 92, 3643, 93, 20, 20497, 20, 93, 6328, 20, 12197, 17, 4778, 1963, 24424, 19, 4432, 16480, 19, 1453, 20, 3052, 24168, 20, 19070, 20, 93, 6328, 20, 12197, 204, 5681, 273, 1472, 353, 1043, 22181, 756, 311, 17, 273, 717, 1014, 302, 275, 10406, 850, 353, 1966, 19, 4168, 273, 1472, 353, 22181, 756, 5501, 497, 322, 30619, 1818, 521, 4533, 659, 437, 2901, 348, 275, 1472, 353, 4327, 311, 16062, 3511, 19, 4596, 1540, 17, 275, 2901, 1583, 508, 4398, 275, 1472, 726, 19, 13472, 17, 275, 2901, 3192, 273, 5833, 9000, 3966, 4634, 322, 12450, 14, 348, 275, 1472, 19, 4168, 275, 2901, 348, 275, 1472, 353, 22181, 756, 311, 974, 16062, 3511, 17, 275, 5833, 9000, 3966, 4634, 322, 12450, 14, 353, 1376, 311, 838, 273, 717, 1014, 302, 275, 1472, 19, 1058, 6137, 353, 275, 1540, 17, 311, 4516, 20929, 4843, 732, 31, 15753, 299, 1472, 5644, 618, 9295, 11111, 4843, 17, 8578, 3153, 440, 273, 1950, 39524, 1690, 302, 1666, 19, 1058, 1844, 353, 19550, 560, 275, 3718, 496, 1422, 353, 1236, 2689, 311, 275, 542, 302, 7876, 496, 618, 444, 6929, 292, 275, 1818, 329, 4533, 24183, 302, 16062, 3511, 19, 592, 10420, 17, 14460, 5833, 9000, 3966, 20206, 322, 12450, 88, 14, 348, 6214, 869, 24426, 1236, 5800, 523, 4843, 9757, 19, 204, 673, 667, 1653, 2620, 302, 4141, 717, 5644, 302, 273, 1472, 353, 496, 1472, 1259, 353, 508, 32395, 497, 1051, 1014, 302, 273, 1472, 311, 3161, 19, 592, 1605, 2910, 17, 14165, 45276, 15847, 322, 60, 38416, 14, 11138, 4569, 9021, 348, 44316, 1259, 19, 204, 1449, 3550, 273, 1472, 13890, 17, 872, 758, 275, 4355, 311, 3597, 322, 1947, 1540, 353, 7463, 789, 204, 35854, 496, 529, 47293, 329, 22181, 756, 311, 974, 1698, 1576, 322, 1538, 1763, 17, 14101, 11454, 659, 529, 15551, 12527, 13890, 19, 204, 5009, 1856, 4516, 5465, 311, 3597, 14275, 872, 1519, 311, 31, 204, 5681, 273, 1472, 869, 273, 6273, 302, 1666, 17, 490, 1741, 3074, 273, 2482, 690, 311, 48013, 19, 828, 275, 1472, 353, 508, 12527, 13890, 17, 329, 275, 1472, 353, 12283, 22181, 756, 311, 17, 275, 2264, 302, 20185, 12943, 34093, 275, 1472, 1741, 874, 273, 2917, 5800, 523, 275, 575, 4699, 19, 3355, 17, 497, 273, 5956, 13024, 17, 872, 1856, 18341, 523, 275, 1540, 2557, 329, 3680, 1214, 1650, 677, 5956, 32, 397, 2907, 27931, 6214, 440, 1137, 2666, 496, 5573, 5084, 275, 933, 1945, 348, 1214, 1650, 17, 30830, 275, 6214, 311, 444, 12527, 13890, 1741, 444, 1051, 2501, 311, 2616, 275, 1844, 19, 204, 5977, 2882, 348, 6214, 496, 529, 12527, 13890, 529, 508, 31317, 292, 16062, 3511, 302, 437, 1504, 8859, 5214, 1650, 322, 61, 39, 9213, 14, 397, 273, 575, 22181, 675, 5501, 497, 329, 1818, 311, 275, 1504, 8859, 5214, 1650, 322, 61, 39, 9213, 789, 11917, 10315, 7876, 348, 6214, 496, 529, 508, 12527, 13890, 529, 31317, 292, 16062, 3511, 19, 204, 673, 2631, 1763, 5913, 1662, 311, 732, 1504, 8859, 311, 15753, 437, 1014, 302, 275, 10406, 850, 5229, 3536, 22181, 657, 19, 0, 647, 304, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 783, 17, 1884, 204, 647, 2725, 14208, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 1437, 204, 531, 4277, 19, 772, 532, 26995, 9500, 204, 531, 2284, 19, 38437, 532, 45599, 204, 531, 2284, 19, 10132, 19, 5878, 532, 322, 204, 264, 949, 68, 5893, 17, 204, 264, 949, 68, 22565, 68, 11841, 17, 204, 14, 204, 531, 2284, 19, 4120, 19, 6069, 532, 12589, 20898, 319, 2108, 17, 46502, 2108, 204, 531, 2284, 19, 1234, 19, 3247, 532, 636, 68, 3342, 204, 531, 2284, 19, 1234, 19, 29740, 532, 18232, 8713, 204, 531, 2284, 19, 481, 532, 10275, 204, 531, 2284, 19, 481, 19, 73, 34122, 532, 46502, 5030, 17, 1895, 68, 15281, 204, 531, 2284, 19, 481, 19, 44638, 657, 532, 322, 204, 264, 27651, 68, 11697, 68, 481, 17, 204, 264, 27651, 68, 23855, 68, 481, 17, 204, 14, 204, 531, 2284, 19, 481, 19, 11901, 532, 1051, 68, 5617, 68, 4170, 68, 8765, 204, 531, 2284, 19, 1618, 19, 20605, 532, 28331, 204, 531, 2284, 19, 5135, 19, 5135, 68, 5891, 532, 7502, 17040, 8116, 204, 531, 1498, 532, 9935, 204, 204, 461, 1020, 68, 3995, 68, 1309, 13, 204, 264, 2648, 68, 417, 31, 394, 17, 204, 264, 2648, 68, 2199, 68, 7518, 31, 783, 64, 1218, 64, 325, 4395, 204, 264, 2648, 68, 1309, 31, 783, 64, 9742, 8713, 648, 204, 14, 393, 1884, 64, 339, 17, 18232, 8713, 744, 204, 264, 320, 204, 264, 13792, 348, 275, 2648, 292, 275, 458, 302, 6835, 329, 2584, 1163, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 2648, 68, 417, 322, 325, 330, 13792, 18, 398, 896, 204, 268, 2648, 68, 2199, 68, 7518, 322, 1218, 64, 1218, 64, 325, 3795, 783, 302, 3330, 440, 2648, 1987, 348, 848, 1485, 204, 268, 2648, 68, 1309, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 424, 6946, 17, 848, 2457, 273, 1485, 204, 204, 264, 1632, 31, 204, 268, 7323, 31, 828, 2648, 1583, 508, 1337, 292, 1169, 1485, 204, 204, 264, 475, 31, 204, 268, 1884, 1174, 322, 22, 14, 1112, 302, 1485, 1174, 2648, 329, 322, 23, 14, 1019, 3310, 311, 275, 2648, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1485, 311, 1020, 275, 2648, 204, 264, 348, 1485, 68, 998, 17, 2648, 68, 2199, 292, 3209, 13, 3995, 68, 2199, 68, 7518, 330, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1020, 275, 2648, 292, 275, 790, 1485, 204, 305, 2648, 68, 998, 289, 2648, 68, 2199, 19, 998, 13, 3995, 68, 417, 14, 204, 268, 827, 987, 31, 204, 305, 314, 828, 2648, 353, 508, 1193, 17, 3524, 311, 275, 1682, 1485, 204, 305, 3524, 204, 268, 902, 31, 204, 305, 314, 828, 2648, 353, 1193, 17, 407, 1163, 1112, 329, 1019, 204, 305, 407, 1485, 68, 998, 17, 645, 19, 15150, 13, 3995, 68, 1309, 64, 2182, 68, 998, 648, 2648, 68, 998, 17, 3138, 34, 22, 14, 204, 264, 314, 828, 2648, 353, 508, 1193, 292, 1169, 1485, 17, 980, 437, 908, 204, 264, 980, 7323, 13, 75, 7, 11896, 3318, 3995, 68, 417, 2867, 508, 292, 1169, 1485, 1280, 204, 204, 204, 461, 3893, 68, 2607, 68, 1087, 13, 2607, 68, 1087, 31, 12589, 20898, 319, 2108, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3866, 275, 1781, 1586, 19, 204, 204, 264, 457, 31, 204, 268, 1781, 68, 1087, 322, 49012, 20898, 319, 2108, 330, 7543, 1586, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 304, 9278, 850, 353, 508, 1713, 11050, 204, 264, 320, 204, 264, 314, 778, 397, 304, 9278, 850, 353, 1713, 204, 264, 397, 12895, 2170, 33069, 508, 292, 1781, 68, 1087, 19, 272, 9278, 31, 204, 268, 980, 987, 499, 40324, 3078, 850, 508, 1713, 11050, 1280, 204, 204, 204, 461, 1137, 68, 481, 13, 1087, 31, 46502, 2108, 14, 393, 1884, 64, 1218, 64, 9742, 8713, 648, 783, 64, 9742, 8713, 648, 783, 64, 325, 648, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 1385, 424, 497, 1860, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 204, 264, 475, 31, 204, 268, 1884, 1174, 322, 22, 14, 10820, 424, 17, 322, 23, 14, 7346, 424, 17, 322, 24, 14, 10820, 1987, 17, 329, 322, 25, 14, 7346, 1987, 204, 264, 320, 204, 264, 314, 968, 424, 3630, 204, 264, 4793, 68, 481, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 1292, 68, 481, 68, 546, 14, 204, 264, 978, 449, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 1931, 449, 68, 481, 68, 546, 14, 204, 615, 264, 314, 1385, 1672, 1987, 204, 264, 1672, 68, 2199, 289, 10275, 19, 976, 68, 2199, 13, 1292, 68, 481, 68, 546, 802, 283, 1954, 1087, 19, 481, 19, 2393, 68, 2199, 3572, 3039, 431, 204, 615, 264, 314, 1385, 8049, 424, 204, 264, 6549, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 655, 17, 378, 68, 2199, 289, 10275, 19, 986, 68, 22067, 68, 481, 13, 204, 268, 978, 449, 68, 546, 17, 204, 268, 954, 19, 481, 19, 11697, 68, 2199, 17, 204, 268, 954, 19, 481, 19, 23855, 68, 2199, 17, 204, 264, 1179, 204, 615, 264, 407, 6549, 68, 655, 17, 378, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 2199, 204, 204, 204, 461, 951, 68, 809, 13, 204, 264, 954, 31, 46502, 2108, 17, 204, 264, 6549, 68, 655, 31, 783, 64, 9742, 8713, 648, 204, 264, 378, 68, 655, 31, 783, 64, 9742, 8713, 648, 204, 264, 919, 68, 546, 31, 2621, 17, 204, 14, 393, 28331, 31, 204, 264, 320, 204, 264, 2672, 273, 28331, 570, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 268, 6549, 68, 655, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 10820, 424, 204, 268, 378, 68, 655, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 7346, 424, 204, 268, 919, 68, 546, 322, 4203, 330, 2621, 311, 919, 1445, 204, 204, 264, 475, 31, 204, 268, 16728, 28331, 570, 204, 264, 320, 204, 264, 314, 763, 1781, 1586, 204, 264, 1781, 68, 1087, 289, 9935, 13, 49012, 20898, 319, 2108, 17, 954, 19, 2607, 14, 204, 615, 264, 314, 3866, 1781, 1586, 204, 264, 3893, 68, 2607, 68, 1087, 13, 2607, 68, 1087, 14, 204, 204, 264, 314, 666, 683, 19052, 204, 264, 683, 68, 15281, 289, 1895, 68, 15281, 13, 204, 268, 6549, 68, 655, 17, 204, 268, 378, 68, 655, 17, 204, 268, 8062, 34, 1975, 17, 204, 268, 2068, 68, 835, 34, 2607, 68, 1087, 19, 2884, 68, 835, 17, 204, 264, 1179, 204, 615, 264, 314, 763, 683, 1485, 204, 264, 683, 68, 2182, 289, 9935, 13, 26090, 5030, 17, 683, 68, 15281, 19, 2182, 14, 204, 615, 264, 314, 968, 2322, 322, 22690, 521, 11290, 14, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 7, 397, 1781, 68, 1087, 19, 809, 19, 6938, 902, 388, 6995, 431, 204, 615, 264, 314, 48030, 28331, 570, 204, 264, 570, 31, 28331, 289, 2725, 14208, 19, 2918, 19, 43293, 11051, 13, 204, 268, 1781, 68, 1087, 19, 809, 17, 204, 268, 7346, 68, 19298, 34, 804, 68, 2182, 19, 495, 68, 19298, 17, 204, 268, 10820, 68, 19298, 34, 804, 68, 2182, 19, 3162, 68, 19298, 17, 204, 264, 1179, 204, 204, 264, 314, 968, 570, 832, 204, 264, 570, 68, 546, 289, 919, 68, 546, 802, 388, 809, 19, 386, 7, 204, 615, 264, 314, 778, 397, 570, 353, 2861, 6020, 204, 264, 397, 570, 68, 546, 19, 4332, 1293, 204, 268, 314, 1385, 6020, 570, 204, 268, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 809, 68, 546, 602, 204, 268, 570, 19, 633, 13, 3075, 14, 204, 264, 902, 31, 204, 268, 314, 2672, 570, 204, 268, 570, 19, 633, 13, 3075, 14, 204, 268, 951, 68, 15281, 289, 1895, 68, 15281, 13, 204, 305, 6549, 68, 655, 17, 204, 305, 378, 68, 655, 17, 204, 305, 8062, 34, 1021, 17, 204, 305, 2068, 68, 835, 34, 2607, 68, 1087, 19, 2884, 68, 835, 17, 204, 305, 5790, 68, 2391, 34, 1021, 17, 204, 268, 1179, 204, 268, 919, 31, 7502, 17040, 8116, 289, 2725, 14208, 19, 2918, 19, 2960, 13, 204, 305, 1781, 68, 1087, 19, 5135, 68, 5891, 17, 204, 305, 570, 34, 809, 17, 204, 305, 951, 68, 15281, 34, 1219, 68, 15281, 17, 204, 268, 1179, 204, 268, 314, 3025, 6020, 570, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 570, 68, 546, 14, 204, 204, 264, 407, 570, 204, 204, 204, 461, 7009, 68, 17875, 13, 1087, 31, 46502, 2108, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 1051, 570, 311, 18679, 1163, 11876, 2817, 27108, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 264, 320, 204, 264, 314, 763, 2082, 204, 264, 2082, 289, 636, 68, 3342, 3843, 417, 4422, 204, 264, 2082, 19, 1270, 499, 31094, 1240, 1781, 31, 7009, 11876, 2817, 431, 204, 204, 264, 314, 1385, 424, 204, 264, 6549, 68, 655, 17, 378, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 2199, 289, 1137, 68, 481, 13, 1087, 14, 204, 615, 264, 314, 968, 919, 832, 204, 264, 919, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 2826, 68, 546, 14, 802, 388, 17875, 68, 2816, 7, 204, 264, 919, 68, 546, 19, 13986, 13, 8038, 68, 779, 34, 1021, 17, 6757, 34, 1021, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 570, 289, 951, 68, 809, 13, 1087, 17, 6549, 68, 655, 17, 378, 68, 655, 17, 919, 68, 546, 14, 204, 204, 264, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 954, 289, 46502, 2108, 374, 226, 314, 977, 46502, 1586, 204, 264, 7009, 68, 17875, 13, 1087, 14, 204, 0, 647, 2454, 204, 647, 690, 204, 647, 8738, 204, 531, 1498, 532, 5006, 204, 204, 676, 3215, 10062, 31, 204, 264, 320, 204, 264, 20010, 850, 496, 6609, 437, 919, 4457, 311, 2281, 424, 19, 204, 615, 264, 1974, 490, 292, 1322, 872, 3480, 311, 4457, 1025, 5805, 1792, 1194, 20721, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 4457, 68, 7414, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 3215, 10062, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 4457, 68, 7414, 322, 325, 330, 334, 1354, 311, 732, 348, 275, 919, 4457, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 828, 4457, 68, 7414, 353, 1917, 17, 732, 490, 311, 838, 273, 717, 919, 4457, 204, 268, 397, 4457, 68, 7414, 31, 204, 305, 314, 1765, 12116, 17, 572, 6356, 5257, 4457, 68, 7414, 353, 273, 1097, 510, 832, 204, 305, 370, 19, 4509, 289, 1451, 13, 4509, 68, 7414, 17, 379, 92, 534, 204, 268, 902, 31, 204, 305, 314, 9444, 17, 732, 2454, 19, 8869, 448, 275, 1540, 919, 4457, 204, 305, 370, 19, 4509, 289, 2454, 19, 8869, 204, 204, 264, 436, 2281, 13, 327, 17, 424, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 424, 311, 275, 919, 4457, 19, 204, 822, 268, 457, 31, 204, 268, 424, 322, 325, 330, 334, 424, 311, 2281, 311, 275, 919, 4457, 19, 204, 268, 320, 204, 268, 314, 3400, 275, 424, 311, 275, 919, 4457, 204, 268, 370, 19, 4509, 19, 2206, 13, 481, 14, 204, 268, 314, 37826, 275, 919, 4457, 311, 4897, 275, 424, 353, 5052, 11084, 204, 268, 370, 19, 4509, 19, 17208, 374, 204, 204, 204, 676, 10352, 2204, 1891, 13, 24506, 19, 9928, 330, 204, 264, 320, 204, 264, 5297, 348, 919, 1693, 16950, 1714, 19, 204, 615, 264, 1058, 850, 6609, 273, 7490, 3532, 311, 38696, 1395, 275, 4065, 1714, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2237, 3584, 448, 850, 3454, 204, 264, 34054, 68, 14152, 13617, 289, 2470, 42899, 491, 379, 45581, 491, 379, 7237, 299, 3688, 491, 204, 14019, 379, 7237, 299, 491, 379, 16744, 491, 379, 5273, 299, 491, 379, 281, 1229, 1070, 491, 204, 14019, 379, 45581, 5217, 23253, 839, 204, 264, 314, 968, 275, 919, 1883, 448, 273, 850, 3324, 204, 264, 24682, 68, 13538, 289, 7810, 87, 9489, 23, 75, 26012, 4151, 322, 2974, 31, 26941, 22, 75, 43322, 20, 88, 719, 31, 26941, 22, 75, 724, 39, 20, 88, 21223, 31, 1564, 73, 14, 1564, 88, 12, 204, 264, 314, 968, 275, 1540, 5119, 448, 273, 850, 3324, 204, 264, 8719, 68, 15831, 289, 500, 19, 26, 226, 314, 3331, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1714, 31, 5006, 17, 23349, 68, 553, 17, 5119, 31, 818, 289, 8719, 68, 15831, 17, 919, 68, 4509, 31, 3215, 10062, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 10352, 2204, 1891, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 1714, 322, 9261, 330, 332, 741, 496, 2584, 275, 790, 4065, 1714, 19, 204, 268, 23349, 68, 553, 31, 334, 23349, 510, 2545, 12579, 19, 204, 268, 5119, 322, 996, 330, 334, 3091, 1283, 1714, 7861, 19, 1243, 311, 8719, 68, 15831, 19, 204, 268, 919, 68, 4509, 322, 8116, 10062, 330, 334, 919, 4457, 311, 732, 348, 1714, 7861, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 314, 6993, 275, 1714, 741, 329, 23349, 510, 204, 268, 370, 19, 1835, 289, 1714, 204, 268, 370, 19, 28692, 68, 553, 289, 23349, 68, 553, 204, 268, 314, 6993, 275, 5119, 329, 919, 4457, 204, 268, 370, 19, 7738, 289, 5119, 204, 268, 370, 19, 1420, 68, 4509, 289, 919, 68, 4509, 397, 919, 68, 4509, 902, 3215, 10062, 374, 204, 268, 314, 3867, 808, 3532, 273, 21263, 754, 490, 28558, 1330, 275, 667, 3532, 28558, 204, 268, 370, 19, 24158, 289, 959, 204, 268, 314, 4055, 275, 3532, 204, 268, 370, 19, 1530, 374, 204, 204, 264, 436, 906, 2478, 68, 1420, 13, 327, 17, 1714, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9265, 275, 919, 782, 1609, 523, 275, 1714, 19, 204, 822, 268, 457, 31, 204, 268, 1714, 31, 334, 790, 4065, 1714, 19, 204, 822, 268, 475, 31, 204, 268, 394, 31, 334, 6585, 919, 782, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 24682, 68, 13538, 311, 838, 275, 919, 782, 204, 268, 407, 370, 19, 11927, 68, 13538, 1564, 322, 204, 305, 1714, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 10404, 540, 1607, 17, 204, 305, 1714, 19, 7237, 68, 1949, 802, 3861, 17, 204, 305, 1714, 19, 7488, 68, 1949, 802, 3861, 17, 204, 305, 1714, 19, 920, 68, 37431, 17, 204, 305, 370, 19, 15486, 68, 14152, 13617, 64, 1835, 19, 1512, 694, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 1714, 1395, 3546, 19, 204, 268, 320, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 314, 763, 275, 790, 1714, 204, 485, 1714, 289, 370, 19, 1835, 374, 204, 485, 314, 9265, 275, 919, 782, 204, 485, 919, 289, 370, 806, 2478, 68, 1420, 13, 1835, 14, 204, 485, 314, 3400, 275, 919, 782, 311, 275, 919, 4457, 204, 485, 370, 19, 1420, 68, 4509, 19, 2206, 13, 1420, 14, 204, 485, 314, 18285, 348, 275, 1713, 5119, 204, 485, 690, 19, 4867, 13, 327, 19, 7738, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 2805, 496, 1336, 204, 485, 456, 13, 75, 7, 596, 31, 463, 74, 7068, 510, 34, 4807, 19, 10449, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 8467, 5330, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 10404, 289, 500, 19, 26, 204, 268, 370, 19, 7237, 68, 1949, 289, 20846, 204, 268, 370, 19, 7488, 68, 1949, 289, 32114, 204, 268, 370, 19, 920, 68, 37431, 289, 931, 204, 268, 370, 19, 1512, 289, 571, 226, 314, 16950, 204, 204, 264, 436, 636, 68, 1835, 13, 327, 330, 204, 268, 407, 370, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 8467, 5330, 1014, 204, 264, 1714, 289, 8467, 5330, 374, 204, 264, 314, 666, 273, 10352, 2204, 1891, 1014, 204, 264, 44017, 289, 10352, 2204, 1891, 13, 1835, 19, 505, 68, 1835, 17, 388, 2569, 19, 28692, 431, 204, 264, 314, 14086, 275, 667, 3532, 4436, 311, 3020, 275, 1714, 7861, 204, 264, 1335, 959, 31, 204, 268, 690, 19, 4867, 13, 22, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 3259, 7368, 19568, 1234, 19, 1443, 532, 7242, 204, 531, 1498, 532, 783, 204, 204, 676, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 13, 2862, 330, 204, 264, 320, 204, 264, 332, 824, 850, 348, 15734, 38981, 35089, 21223, 19, 204, 204, 264, 1532, 31, 204, 268, 2689, 322, 339, 330, 334, 2689, 302, 275, 824, 19, 204, 268, 5165, 322, 339, 330, 334, 5165, 302, 275, 824, 19, 204, 268, 1552, 68, 5863, 322, 325, 330, 334, 1552, 2945, 302, 275, 824, 19, 204, 268, 1552, 68, 1993, 322, 325, 330, 334, 1552, 1242, 302, 275, 824, 19, 204, 268, 1464, 5669, 68, 2602, 68, 1915, 322, 1218, 64, 325, 1037, 334, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 268, 1259, 322, 325, 330, 334, 1259, 302, 275, 824, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 850, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 71, 20050, 6092, 491, 379, 48112, 7076, 59, 22, 491, 379, 46958, 39, 82, 59, 6092, 12988, 375, 1480, 491, 379, 71, 20050, 6092, 19, 2005, 19, 48112, 19, 1453, 534, 204, 204, 264, 1642, 3830, 204, 264, 436, 2689, 13, 327, 14, 393, 421, 31, 204, 268, 320, 10588, 275, 2689, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 3485, 534, 204, 204, 264, 1642, 3485, 19, 11094, 204, 264, 436, 2689, 13, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 5313, 275, 2689, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 2689, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 437, 1534, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 421, 330, 204, 305, 980, 3660, 499, 21495, 1631, 444, 437, 1534, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 3485, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 5165, 13, 327, 14, 393, 421, 31, 204, 268, 320, 10588, 275, 5165, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 5911, 534, 204, 204, 264, 1642, 5911, 19, 11094, 204, 264, 436, 5165, 13, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 5313, 275, 5165, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 5165, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 437, 1534, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 421, 330, 204, 305, 980, 3660, 499, 34564, 1631, 444, 437, 1534, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 5911, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1552, 68, 5863, 13, 327, 14, 393, 394, 31, 204, 268, 320, 10588, 275, 1552, 2945, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1115, 18839, 534, 204, 204, 264, 1642, 1115, 68, 5863, 19, 11094, 204, 264, 436, 1552, 68, 5863, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1552, 2945, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1552, 2945, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 8477, 2945, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1115, 18839, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1552, 68, 1993, 13, 327, 14, 393, 394, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 320, 10588, 275, 1552, 1242, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1115, 1186, 534, 204, 204, 264, 1642, 1115, 68, 1993, 19, 11094, 204, 264, 436, 1552, 68, 1993, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1552, 1242, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1552, 1242, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 8477, 1242, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1115, 1186, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1464, 5669, 68, 2602, 68, 1915, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 10588, 275, 1464, 5669, 1727, 4192, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 396, 5669, 5064, 31837, 534, 204, 204, 264, 1642, 396, 5669, 68, 2602, 68, 1915, 19, 11094, 204, 264, 436, 1464, 5669, 68, 2602, 68, 1915, 13, 327, 17, 700, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 5313, 275, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 1218, 64, 325, 1037, 334, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 458, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 458, 330, 204, 305, 980, 3660, 499, 12988, 5669, 1727, 4192, 1631, 444, 273, 458, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 396, 5669, 5064, 31837, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1259, 13, 327, 14, 393, 394, 31, 204, 268, 320, 10588, 275, 1259, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1512, 534, 204, 204, 264, 1642, 1512, 19, 11094, 204, 264, 436, 1259, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1259, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1259, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 5059, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1512, 491, 700, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 824, 289, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 374, 204, 264, 824, 19, 3485, 289, 931, 204, 264, 824, 19, 5911, 289, 500, 204, 264, 824, 19, 1115, 68, 5863, 289, 388, 12010, 7, 204, 264, 824, 19, 1115, 68, 1993, 289, 388, 1510, 3103, 7, 204, 264, 824, 19, 396, 5669, 68, 2602, 68, 1915, 289, 3134, 6092, 93, 18, 11085, 1339, 204, 264, 824, 19, 1512, 289, 388, 6772, 7, 204, 264, 456, 13, 1443, 19, 505, 68, 2645, 1447, 204, 0, 647, 2164, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 3752, 68, 19630, 68, 531, 68, 2005, 13, 805, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 11244, 273, 458, 302, 5899, 497, 275, 1917, 19870, 1893, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 302, 275, 19870, 1893, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3477, 5239, 19, 204, 204, 264, 1632, 31, 204, 268, 2164, 19, 6866, 31, 828, 275, 824, 311, 275, 1893, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 681, 8005, 521, 720, 8005, 1714, 6210, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 275, 2710, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 10775, 5899, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 456, 68, 7199, 68, 1270, 13, 19630, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 458, 302, 5899, 329, 1017, 2737, 17097, 19, 204, 204, 264, 457, 31, 204, 268, 5899, 322, 655, 330, 332, 458, 302, 3477, 5239, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 3494, 204, 264, 456, 13, 75, 1954, 12, 18035, 597, 1719, 98, 226, 338, 2552, 48837, 12, 743, 204, 264, 456, 28358, 540, 3382, 14, 204, 615, 264, 314, 1198, 848, 3477, 677, 1483, 204, 264, 348, 3477, 292, 5899, 31, 204, 268, 456, 13, 75, 1954, 7199, 736, 417, 5441, 1719, 98, 226, 338, 463, 7199, 736, 12755, 9436, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 1893, 1274, 204, 264, 3923, 68, 805, 289, 388, 3189, 1963, 5243, 19630, 19, 23096, 20, 5243, 20, 91, 23, 20, 668, 7, 204, 615, 264, 810, 31, 204, 268, 314, 6579, 275, 5899, 497, 275, 1893, 204, 268, 5899, 289, 3752, 68, 19630, 68, 531, 68, 2005, 13, 2005, 68, 805, 14, 204, 822, 268, 314, 1198, 275, 3477, 1483, 204, 268, 456, 68, 7199, 68, 1270, 13, 19630, 14, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 5925, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 3752, 5899, 31, 463, 74, 743, 204, 268, 5925, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 667, 374, 204, 0, 56, 1911, 299, 2317, 332, 2637, 3196, 302, 13253, 302, 275, 46164, 302, 275, 14079, 36, 4700, 6, 1643, 1818, 292, 10137, 9551, 292, 275, 12531, 3249, 80, 439, 298, 12654, 95, 13135, 19, 204, 64, 281, 40141, 18, 16707, 363, 371, 18, 1538, 18, 9892, 21785, 18, 416, 18, 9888, 18, 11967, 6934, 34, 1001, 816, 68, 13700, 1001, 18048, 34, 1001, 1003, 2132, 6655, 19047, 5007, 6007, 3276, 27, 5049, 42839, 35429, 226, 945, 71, 34, 1001, 8369, 30, 2353, 5820, 1036, 4957, 3276, 1258, 2682, 2314, 35429, 3840, 81, 34, 1001, 75, 7166, 2036, 1001, 24251, 492, 34, 1001, 53, 323, 21785, 1001, 6060, 34, 1001, 11062, 1001, 1237, 34, 1001, 30, 35429, 771, 34, 1001, 30, 35429, 1302, 34, 1001, 13151, 35429, 16868, 34, 1001, 22, 35429, 8906, 34, 1001, 22, 35429, 13297, 34, 1001, 5342, 1001, 846, 34, 1001, 2051, 35429, 300, 912, 6628, 34, 1001, 22, 35429, 66, 204, 56, 1911, 299, 353, 273, 1352, 292, 928, 970, 521, 1182, 9823, 2696, 529, 12174, 4430, 560, 29345, 329, 21418, 273, 47359, 9823, 322, 88, 1911, 14, 1025, 275, 7018, 17, 275, 47359, 9823, 5701, 273, 3124, 29345, 917, 1194, 275, 1225, 13246, 19, 387, 1911, 299, 30091, 497, 43161, 292, 496, 297, 1911, 299, 1583, 508, 10649, 29345, 275, 1225, 8305, 19, 592, 6563, 8066, 17, 275, 47359, 9823, 13943, 3450, 630, 273, 5092, 3312, 17, 1101, 275, 1225, 13246, 9823, 1583, 508, 30611, 19, 4385, 270, 447, 10501, 830, 10068, 375, 13782, 3014, 17, 1101, 8543, 14453, 874, 16311, 1135, 756, 732, 302, 3014, 18, 8382, 520, 30182, 348, 27849, 329, 903, 47603, 5356, 19, 204, 2841, 353, 6678, 496, 297, 1911, 299, 867, 18246, 719, 311, 13777, 2181, 8518, 292, 23279, 40757, 555, 1257, 19, 387, 1911, 299, 329, 6563, 8066, 529, 6183, 311, 874, 273, 391, 3762, 3060, 4744, 292, 275, 3511, 302, 9823, 18, 15650, 17, 9047, 2518, 23243, 34269, 19, 7035, 270, 1516, 297, 2489, 497, 12351, 19556, 34269, 1466, 30528, 974, 5027, 297, 1911, 299, 19, 204, 20203, 2836, 298, 466, 2545, 1966, 560, 297, 1911, 299, 204, 56, 1911, 299, 867, 33158, 1376, 311, 1895, 45230, 2696, 17, 19654, 306, 879, 329, 7807, 17, 448, 2590, 448, 904, 5018, 1702, 448, 292, 28027, 2772, 25321, 336, 12451, 19, 0, 19641, 34521, 6336, 1405, 3307, 302, 275, 12724, 8224, 204, 40731, 2153, 17, 11166, 204, 3244, 2171, 3062, 3237, 19, 204, 17664, 466, 8849, 874, 7001, 273, 35649, 496, 348, 275, 1043, 690, 3629, 273, 2158, 1025, 275, 2637, 3948, 15705, 302, 17582, 3307, 19, 204, 673, 11128, 9612, 11395, 791, 599, 17, 273, 12479, 3599, 302, 8873, 3003, 302, 29258, 17, 353, 754, 3403, 490, 618, 1742, 5298, 497, 2817, 19, 204, 3837, 353, 8405, 7249, 311, 17556, 496, 808, 798, 302, 17582, 3307, 26935, 301, 6332, 523, 273, 3171, 5406, 3948, 19, 204, 673, 3384, 497, 10224, 329, 12820, 16894, 3695, 302, 275, 35649, 292, 16476, 40013, 19, 204, 673, 2667, 329, 9793, 10569, 302, 21291, 17582, 3307, 1702, 448, 724, 31326, 17992, 17, 34998, 295, 1405, 17, 414, 616, 37270, 28654, 329, 29258, 40808, 529, 11864, 9647, 560, 6196, 496, 1336, 630, 7539, 273, 13690, 2666, 5406, 1194, 273, 4013, 470, 8104, 19, 204, 13759, 27852, 1605, 6332, 7239, 353, 273, 41160, 6160, 19, 334, 15641, 9793, 2263, 21675, 17, 3312, 17, 11791, 4683, 17, 329, 8912, 516, 874, 754, 4935, 2927, 6709, 523, 808, 3948, 13337, 292, 1017, 4193, 1964, 19, 204, 33383, 447, 17, 7476, 874, 4768, 17582, 3307, 1025, 275, 1069, 17, 5602, 5748, 497, 275, 12724, 17, 7239, 17, 11897, 1483, 353, 8287, 1465, 1662, 275, 4645, 8808, 329, 28441, 19, 204, 673, 717, 9417, 867, 8405, 7001, 311, 17046, 630, 275, 8469, 8224, 19, 204, 7, 2310, 529, 23429, 275, 20135, 292, 1163, 4193, 1964, 928, 353, 3060, 3700, 329, 5362, 311, 28343, 292, 275, 1069, 5167, 6834, 313, 10713, 14367, 1156, 21489, 17, 1085, 302, 275, 35649, 677, 4383, 3384, 17, 10571, 32096, 9582, 19, 204, 673, 1627, 302, 8849, 874, 18275, 275, 5800, 302, 808, 35649, 560, 13915, 275, 15705, 302, 3509, 9275, 2554, 17, 275, 2637, 7160, 496, 4430, 1895, 719, 29258, 40808, 19, 204, 13239, 8696, 39464, 4680, 302, 9275, 85, 36119, 848, 904, 440, 11586, 47686, 299, 37689, 1320, 17, 329, 1425, 3509, 9275, 2554, 12076, 311, 6635, 4764, 19, 204, 5039, 29258, 40808, 3332, 275, 2688, 529, 38483, 292, 1302, 3913, 311, 3651, 6196, 273, 17540, 6121, 302, 275, 2637, 3948, 6332, 12511, 808, 32305, 594, 353, 1945, 19, 1058, 35649, 869, 275, 3836, 311, 1308, 1605, 9087, 19, 204, 40026, 299, 2830, 21960, 348, 275, 1225, 17, 6834, 14367, 1156, 21489, 497, 275, 8452, 302, 27019, 18452, 630, 275, 4639, 302, 15956, 403, 70, 3252, 31, 388, 673, 12724, 24557, 273, 6273, 302, 2077, 7977, 17, 1429, 1880, 529, 508, 9136, 302, 275, 9253, 329, 275, 11031, 2292, 302, 2075, 353, 6186, 523, 685, 1422, 3343, 204, 673, 35649, 9995, 302, 2665, 9793, 14885, 2927, 497, 273, 21296, 21862, 9492, 440, 10142, 19, 4596, 8910, 12387, 275, 2665, 302, 275, 14885, 2549, 444, 7716, 19, 472, 45863, 10170, 3702, 4897, 73, 275, 17582, 3307, 867, 2590, 4344, 19, 204, 5797, 275, 8941, 867, 13782, 292, 273, 19882, 1561, 496, 2549, 444, 4768, 1873, 311, 275, 8469, 8224, 329, 25851, 560, 273, 20562, 19, 204, 673, 8849, 2556, 496, 275, 717, 35649, 1120, 444, 5096, 311, 5800, 6982, 273, 17775, 933, 302, 8615, 2357, 2864, 33850, 17, 47985, 17, 6038, 31422, 1154, 17, 10142, 18621, 17, 17582, 44323, 329, 11258, 19, 0, 315, 204, 1834, 2413, 8913, 273, 3017, 1893, 348, 11696, 14827, 17, 1860, 17, 329, 12117, 7092, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 5908, 17, 14305, 204, 531, 4433, 68, 26762, 532, 21659, 17, 4393, 68, 10768, 204, 531, 6686, 532, 322, 204, 264, 636, 68, 481, 17, 204, 264, 1813, 68, 2375, 68, 1424, 68, 2574, 17, 204, 264, 1813, 68, 2375, 68, 1424, 68, 6811, 17, 204, 264, 636, 68, 668, 68, 23435, 17, 204, 264, 636, 68, 668, 68, 2375, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 636, 68, 668, 68, 34517, 7092, 17, 204, 264, 1813, 68, 553, 68, 1424, 68, 359, 17, 204, 14, 204, 204, 8, 968, 273, 3324, 348, 275, 6394, 204, 21877, 289, 3382, 226, 314, 3331, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 45251, 13, 748, 17, 4764, 2508, 87, 16825, 2005, 22823, 559, 2832, 45450, 559, 17203, 6669, 1937, 204, 204, 8, 968, 273, 741, 311, 2906, 2744, 204, 461, 2906, 68, 718, 13, 718, 31, 1319, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1426, 2744, 329, 407, 273, 2084, 958, 19, 204, 204, 264, 457, 31, 204, 268, 908, 322, 2940, 330, 334, 908, 311, 2906, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 5106, 1714, 1576, 19, 204, 264, 320, 204, 264, 407, 5908, 7075, 718, 559, 394, 13, 718, 27778, 5106, 204, 204, 8, 968, 273, 14497, 348, 14827, 13327, 204, 23435, 68, 10182, 289, 14305, 499, 23435, 528, 589, 417, 4422, 204, 204, 37, 23435, 68, 10182, 19, 3955, 6343, 2005, 20, 23435, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 23435, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 14827, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 14827, 497, 275, 424, 2139, 204, 268, 14827, 289, 636, 68, 668, 68, 23435, 374, 204, 268, 407, 5908, 13, 23435, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 968, 273, 14497, 348, 1860, 13327, 204, 2375, 68, 10182, 289, 14305, 499, 2375, 528, 589, 417, 4422, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 2375, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 636, 68, 668, 68, 2375, 374, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 8121, 1031, 31, 553, 68, 359, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 553, 68, 1424, 68, 359, 68, 8155, 13, 553, 68, 359, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 273, 510, 560, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 510, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 510, 497, 275, 424, 2139, 204, 268, 510, 289, 1813, 68, 553, 68, 1424, 68, 359, 13, 553, 68, 359, 14, 204, 268, 407, 5908, 13, 553, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 20, 6811, 8121, 1031, 31, 6811, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 2375, 68, 1424, 68, 6811, 68, 8155, 13, 6811, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 1860, 560, 3351, 19, 204, 204, 264, 457, 31, 204, 268, 3351, 322, 325, 330, 334, 3351, 311, 3686, 1860, 497, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 1813, 68, 2375, 68, 1424, 68, 6811, 13, 6811, 14, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 968, 273, 14497, 348, 12117, 7092, 13327, 204, 34517, 7092, 68, 10182, 289, 14305, 499, 34517, 7092, 528, 589, 417, 4422, 204, 204, 37, 34517, 7092, 68, 10182, 19, 3955, 6343, 2005, 20, 34517, 7092, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 34517, 7092, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 12117, 7092, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 12117, 7092, 497, 275, 424, 2139, 204, 268, 12117, 7092, 289, 636, 68, 668, 68, 34517, 7092, 374, 204, 268, 407, 5908, 13, 34517, 7092, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 34517, 7092, 68, 10182, 19, 3955, 6343, 2005, 20, 34517, 7092, 20, 2574, 8121, 1031, 31, 2574, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 2375, 68, 1424, 68, 2574, 68, 8155, 13, 2574, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 1860, 560, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 3686, 1860, 348, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 275, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 1813, 68, 2375, 68, 1424, 68, 2574, 13, 2574, 14, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 6676, 275, 27732, 204, 748, 19, 4216, 68, 10182, 13, 23435, 68, 10182, 14, 204, 748, 19, 4216, 68, 10182, 13, 2375, 68, 10182, 14, 204, 748, 19, 4216, 68, 10182, 13, 34517, 7092, 68, 10182, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2466, 275, 1650, 292, 5344, 2291, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 461, 456, 68, 7291, 13, 417, 31, 394, 17, 943, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15309, 4389, 943, 311, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 311, 444, 35969, 19, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 4389, 943, 440, 275, 1917, 588, 329, 943, 204, 264, 456, 13, 75, 7, 5975, 17, 463, 417, 31097, 463, 1454, 743, 204, 204, 461, 636, 68, 35664, 68, 2873, 374, 393, 421, 31, 204, 264, 320, 204, 264, 475, 273, 4883, 1324, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 4883, 1324, 19, 204, 264, 320, 204, 264, 314, 1765, 808, 1763, 17, 2249, 677, 2506, 30604, 448, 275, 4883, 1324, 204, 264, 407, 30604, 204, 204, 461, 456, 68, 2873, 68, 1454, 13, 2873, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 943, 5850, 273, 4883, 1324, 19, 204, 204, 264, 457, 31, 204, 268, 1324, 322, 339, 330, 334, 4883, 1324, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 4883, 1324, 943, 204, 264, 456, 13, 75, 7, 673, 4883, 1324, 353, 31, 463, 2873, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 588, 204, 264, 588, 289, 537, 499, 5213, 2064, 1214, 588, 31, 2810, 204, 615, 264, 314, 968, 275, 4389, 943, 204, 264, 4389, 68, 1454, 289, 388, 15352, 311, 2077, 1561, 9851, 204, 615, 264, 314, 1198, 275, 4389, 943, 204, 264, 456, 68, 7291, 13, 417, 17, 4389, 68, 1454, 14, 204, 615, 264, 314, 763, 275, 4883, 1324, 204, 264, 4883, 68, 2873, 289, 636, 68, 35664, 68, 2873, 374, 204, 615, 264, 314, 1198, 275, 4883, 1324, 943, 204, 264, 456, 68, 2873, 68, 1454, 13, 35664, 68, 2873, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 315, 204, 22422, 18920, 1594, 204, 35381, 35381, 35381, 35381, 35381, 35381, 35381, 35381, 204, 204, 1834, 2413, 3192, 3454, 329, 4364, 348, 2457, 5499, 5914, 424, 19, 204, 204, 14203, 31, 204, 7848, 7848, 7848, 7848, 204, 204, 15, 42430, 19, 7085, 19, 2300, 31, 20933, 322, 50, 13202, 20061, 16205, 14, 204, 315, 204, 204, 531, 8632, 532, 8204, 204, 531, 2573, 532, 5782, 204, 531, 1498, 532, 1061, 204, 204, 676, 16898, 6059, 13, 5346, 330, 204, 264, 320, 5346, 348, 5499, 8982, 1279, 204, 264, 42900, 13559, 68, 22, 289, 388, 6059, 22, 7, 204, 264, 42900, 13559, 68, 23, 289, 388, 6059, 23, 7, 204, 204, 676, 16898, 38063, 989, 31, 204, 264, 320, 3317, 348, 2457, 5499, 5914, 424, 1279, 204, 615, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 2963, 68, 5950, 31, 1061, 64, 22422, 6059, 17, 1109, 648, 716, 1095, 296, 6092, 31, 394, 17, 716, 1095, 11139, 31, 394, 17, 716, 1095, 752, 68, 3473, 31, 394, 17, 716, 1095, 16830, 31, 1109, 17, 716, 1095, 16680, 68, 21830, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 275, 5499, 5914, 424, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2963, 68, 5950, 322, 1665, 64, 22422, 6059, 17, 1109, 1037, 5439, 302, 275, 5499, 8982, 19, 204, 268, 338, 296, 6092, 322, 325, 330, 334, 3877, 40, 322, 5987, 18, 4880, 27673, 14, 896, 19, 204, 268, 338, 11139, 322, 325, 330, 334, 790, 11139, 302, 275, 5499, 19, 204, 268, 338, 752, 68, 3473, 322, 325, 330, 334, 11139, 630, 275, 690, 275, 752, 867, 4768, 19, 204, 268, 338, 16830, 322, 2107, 330, 3898, 23896, 397, 275, 5499, 869, 273, 16830, 322, 17683, 16680, 41372, 789, 204, 268, 338, 16680, 68, 21830, 322, 2107, 330, 3898, 23896, 397, 275, 5499, 869, 273, 16680, 16830, 19, 204, 268, 320, 204, 268, 370, 19, 2947, 68, 5950, 289, 2963, 68, 5950, 204, 268, 370, 19, 579, 72, 289, 296, 6092, 204, 268, 370, 19, 3473, 289, 11139, 204, 268, 370, 19, 935, 68, 3473, 289, 752, 68, 3473, 204, 268, 370, 19, 21830, 289, 16830, 204, 268, 370, 19, 19576, 68, 21830, 289, 16680, 68, 21830, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 2208, 275, 5499, 5914, 424, 311, 273, 955, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 64, 325, 17, 394, 744, 334, 5499, 5914, 424, 448, 273, 955, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 6059, 22, 559, 394, 13, 327, 19, 2947, 68, 5950, 64, 22422, 6059, 19, 15562, 68, 22, 5060, 204, 305, 388, 6059, 23, 559, 394, 13, 327, 19, 2947, 68, 5950, 64, 22422, 6059, 19, 15562, 68, 23, 5060, 204, 305, 388, 46, 6092, 559, 370, 19, 579, 72, 17, 204, 305, 388, 32078, 559, 370, 19, 3473, 17, 204, 305, 388, 17082, 32078, 559, 370, 19, 935, 68, 3473, 17, 204, 305, 388, 33864, 10429, 559, 394, 13, 327, 19, 21830, 659, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 305, 388, 2938, 945, 33864, 10429, 559, 394, 13, 327, 19, 19576, 68, 21830, 14, 204, 268, 1211, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 955, 302, 2963, 3584, 204, 264, 2963, 68, 5950, 289, 463, 204, 268, 16898, 6059, 19, 15562, 68, 22, 31, 959, 17, 204, 268, 16898, 6059, 19, 15562, 68, 23, 31, 1078, 204, 264, 1211, 204, 615, 264, 314, 666, 273, 5499, 5914, 424, 726, 204, 264, 5914, 68, 481, 289, 16898, 38063, 989, 13, 204, 268, 2963, 68, 5950, 34, 2947, 68, 5950, 17, 716, 268, 296, 6092, 1022, 579, 72, 68, 644, 528, 716, 268, 11139, 1022, 1976, 68, 3473, 528, 716, 268, 752, 68, 3473, 1022, 935, 68, 3473, 528, 716, 268, 16830, 34, 1975, 17, 716, 268, 16680, 68, 21830, 34, 1975, 204, 264, 1179, 204, 615, 264, 314, 2208, 275, 5914, 424, 311, 273, 955, 204, 264, 5914, 68, 481, 68, 873, 289, 5914, 68, 481, 19, 633, 68, 873, 374, 204, 615, 264, 314, 1198, 275, 5914, 424, 955, 204, 264, 456, 13, 17845, 68, 481, 68, 873, 14, 204, 0, 4947, 435, 14013, 275, 1729, 448, 435, 36526, 36, 204, 204, 3882, 17, 435, 14013, 353, 508, 275, 1729, 448, 435, 36526, 19, 716, 204, 1449, 3822, 275, 6414, 302, 435, 14013, 292, 36526, 17, 572, 618, 732, 275, 5818, 2479, 31, 368, 6206, 353, 5387, 1936, 311, 368, 19, 4779, 5645, 36526, 19, 716, 204, 2551, 17, 435, 14013, 353, 1936, 311, 435, 610, 368, 19, 4779, 5645, 289, 435, 19, 1641, 5091, 36526, 19, 204, 204, 4931, 275, 800, 1435, 31, 204, 49, 23079, 311, 5481, 3386, 17432, 322, 49, 6333, 359, 14, 1435, 204, 23, 480, 289, 435, 19, 1641, 32779, 204, 204, 4356, 17, 435, 14013, 353, 5387, 1936, 311, 435, 19, 1641, 36526, 19, 716, 204, 1834, 3210, 496, 273, 435, 18, 11044, 17074, 3192, 1182, 11576, 1194, 273, 435, 18, 18408, 17074, 19, 716, 204, 837, 5549, 17, 435, 14013, 353, 508, 1936, 311, 435, 36526, 17, 1101, 6216, 5387, 435, 19, 1641, 36526, 19, 0, 531, 4433, 532, 3017, 17, 1779, 68, 1538, 17, 4123, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 3324, 348, 275, 1812, 2143, 204, 33997, 68, 16692, 289, 379, 94, 651, 8668, 8668, 12, 204, 204, 8, 968, 273, 5143, 348, 275, 1112, 1472, 204, 37, 748, 19, 3955, 12394, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4389, 943, 348, 275, 1112, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4389, 943, 19, 204, 264, 320, 204, 264, 407, 379, 5975, 5179, 19820, 204, 204, 8, 968, 273, 5143, 348, 275, 15399, 1472, 204, 37, 748, 19, 3955, 4195, 9226, 8121, 2574, 16906, 204, 461, 15399, 13, 2574, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4389, 943, 348, 275, 800, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 12042, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4389, 943, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 353, 1097, 204, 264, 397, 508, 2143, 31, 204, 268, 314, 828, 275, 2143, 353, 1392, 17, 4123, 311, 275, 1112, 1472, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 204, 264, 314, 778, 397, 275, 2143, 353, 275, 1812, 1051, 204, 264, 397, 2143, 19, 3006, 374, 564, 38844, 68, 16692, 31, 204, 268, 314, 828, 275, 2143, 353, 275, 1812, 1051, 17, 407, 273, 4389, 943, 204, 268, 407, 283, 12, 5975, 17, 463, 2574, 98, 19820, 204, 264, 902, 31, 204, 268, 314, 828, 275, 2143, 353, 508, 275, 1812, 1051, 17, 407, 273, 943, 204, 268, 407, 283, 12, 5975, 17, 463, 2574, 31097, 3665, 529, 508, 275, 1812, 575, 10655, 204, 204, 8, 968, 273, 5143, 348, 275, 1465, 1472, 204, 37, 748, 19, 3955, 4195, 12519, 534, 204, 461, 1465, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 943, 348, 275, 1465, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 943, 19, 204, 264, 320, 204, 264, 407, 379, 1834, 353, 273, 3277, 3017, 1650, 10655, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 2466, 275, 3017, 1650, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 38, 5946, 25451, 3300, 44874, 204, 45175, 12494, 329, 11488, 1784, 19860, 4260, 273, 5166, 1286, 24604, 521, 273, 45936, 24604, 1882, 40006, 3658, 1273, 1250, 1466, 12527, 23124, 440, 15485, 17, 46851, 17, 329, 904, 6196, 19, 10146, 275, 36196, 2804, 1466, 1917, 348, 448, 275, 1407, 2236, 2854, 28144, 6999, 273, 38047, 7168, 560, 273, 11394, 4799, 36881, 497, 275, 6503, 8452, 4789, 31780, 9053, 17, 39665, 19, 592, 275, 21465, 275, 5641, 4316, 1784, 3891, 4430, 348, 275, 8546, 677, 32179, 292, 275, 653, 41304, 288, 19, 204, 53, 2797, 22093, 677, 1407, 2236, 2854, 28144, 3242, 8225, 6330, 1466, 9395, 2707, 19, 592, 275, 1324, 22063, 17, 273, 1051, 2344, 15063, 2493, 867, 758, 630, 2842, 1048, 2958, 17, 1207, 1880, 19, 1058, 353, 1182, 29161, 1330, 1051, 28883, 496, 275, 1113, 3390, 302, 275, 3226, 630, 496, 690, 867, 1698, 1168, 17, 43606, 5575, 311, 275, 548, 19, 56, 19, 28853, 19, 592, 42058, 17, 415, 2797, 22093, 677, 8213, 10865, 15995, 758, 3161, 24003, 15063, 2493, 19, 10910, 311, 1051, 2139, 17, 275, 42058, 415, 2797, 22093, 1407, 2236, 2854, 28144, 2080, 275, 1622, 48743, 15063, 302, 1169, 15028, 1407, 2236, 2854, 28144, 17, 1163, 6450, 15063, 1882, 275, 5641, 2247, 3054, 38943, 887, 17, 3894, 23, 4412, 348, 273, 970, 3747, 1113, 302, 28519, 17, 33762, 38412, 19, 3355, 17, 3205, 292, 275, 415, 2797, 22093, 1407, 2236, 2854, 28144, 3242, 8225, 6330, 7988, 311, 306, 2351, 292, 275, 5086, 20486, 88, 19, 334, 7591, 32850, 343, 496, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4816, 6494, 275, 11128, 33104, 2080, 24543, 560, 1675, 17, 329, 904, 2914, 1466, 3303, 2755, 348, 1855, 32179, 329, 9004, 728, 639, 19, 23833, 17, 273, 17705, 6838, 3692, 17, 329, 5914, 13253, 6802, 275, 4408, 6651, 302, 40798, 6121, 329, 8372, 32179, 19, 334, 3242, 8225, 6330, 2080, 13335, 1017, 8784, 35465, 9786, 447, 17, 1101, 34407, 13199, 9295, 10741, 1475, 19, 0, 461, 2037, 68, 19186, 68, 5386, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 275, 4607, 302, 2350, 6404, 1008, 19, 204, 204, 264, 1058, 741, 5538, 275, 2755, 5818, 2914, 311, 275, 6474, 19, 204, 264, 320, 204, 264, 456, 499, 37423, 14517, 2212, 204, 264, 456, 499, 70, 19, 43722, 311, 5045, 5513, 431, 204, 264, 456, 499, 71, 19, 1144, 11101, 3360, 311, 6890, 1015, 431, 204, 264, 456, 499, 72, 19, 46440, 272, 311, 15009, 27226, 431, 204, 204, 461, 636, 68, 816, 68, 19186, 68, 4352, 374, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 575, 677, 3508, 302, 5818, 19, 204, 204, 264, 1058, 741, 15162, 275, 575, 311, 2064, 1017, 3508, 329, 16340, 275, 537, 19, 204, 264, 1547, 2584, 275, 7540, 5818, 4248, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 7540, 5818, 4248, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 3508, 289, 537, 499, 2101, 275, 5818, 872, 3480, 311, 2811, 322, 70, 20, 71, 20, 72, 330, 6165, 3006, 374, 204, 268, 397, 3508, 292, 2470, 70, 491, 379, 71, 491, 379, 72, 5441, 204, 305, 407, 3508, 204, 268, 456, 499, 1962, 3508, 19, 2982, 810, 2528, 1280, 204, 204, 461, 636, 68, 7871, 68, 633, 68, 6470, 374, 393, 818, 31, 204, 264, 320, 204, 264, 763, 275, 4474, 311, 444, 6004, 19, 204, 204, 264, 1058, 741, 15162, 275, 575, 311, 2064, 273, 4474, 329, 16340, 275, 537, 19, 204, 264, 1547, 2584, 275, 4474, 448, 273, 818, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 311, 444, 6004, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 4474, 289, 818, 13, 768, 499, 2101, 275, 4474, 31, 4091, 204, 305, 407, 4474, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 461, 1814, 68, 1205, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 6166, 311, 15930, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 6166, 329, 2584, 275, 6414, 4474, 292, 15930, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 6166, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 15930, 19, 204, 264, 320, 204, 264, 314, 368, 12047, 353, 1936, 311, 1607, 15930, 204, 264, 407, 4474, 540, 1607, 204, 204, 461, 1814, 68, 8245, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 15906, 311, 12324, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 15906, 329, 2584, 275, 6414, 4474, 292, 12324, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 15906, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 12324, 19, 204, 264, 320, 204, 264, 314, 368, 27684, 353, 1936, 311, 3861, 12324, 204, 264, 407, 4474, 540, 3861, 204, 204, 461, 1814, 68, 6811, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 26802, 311, 32878, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 26802, 329, 2584, 275, 6414, 4474, 292, 32878, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 26802, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 32878, 19, 204, 264, 320, 204, 264, 314, 368, 4344, 272, 353, 1936, 311, 3861, 32878, 204, 264, 407, 4474, 540, 3861, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 204, 264, 1058, 741, 12784, 275, 5818, 4607, 17, 8290, 275, 575, 677, 3508, 17, 329, 16510, 275, 5818, 19, 204, 264, 320, 204, 264, 2037, 68, 19186, 68, 5386, 374, 204, 264, 1335, 959, 31, 204, 268, 3508, 289, 636, 68, 816, 68, 19186, 68, 4352, 374, 204, 268, 4474, 289, 636, 68, 7871, 68, 633, 68, 6470, 374, 204, 268, 397, 3508, 564, 379, 70, 597, 204, 305, 722, 289, 1814, 68, 1205, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 6166, 353, 1936, 311, 463, 1300, 98, 15930, 431, 204, 268, 1677, 3508, 564, 379, 71, 597, 204, 305, 722, 289, 1814, 68, 8245, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 15906, 353, 1936, 311, 463, 1300, 98, 12324, 431, 204, 268, 1677, 3508, 564, 379, 72, 597, 204, 305, 722, 289, 1814, 68, 6811, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 26802, 353, 1936, 311, 463, 1300, 98, 32878, 431, 204, 268, 958, 289, 537, 499, 5058, 872, 13181, 311, 3524, 36, 322, 94, 20, 83, 330, 6165, 3006, 374, 204, 268, 397, 958, 2167, 379, 94, 597, 204, 305, 2280, 204, 264, 456, 499, 28644, 872, 348, 17322, 440, 479, 5397, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 204, 676, 48692, 31, 204, 264, 320, 204, 264, 3301, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 35896, 68, 9326, 68, 12450, 322, 325, 330, 334, 9740, 302, 275, 1104, 19, 204, 268, 33205, 68, 4617, 322, 325, 330, 334, 4583, 896, 348, 275, 1650, 19, 204, 268, 35896, 68, 22600, 68, 30813, 322, 2107, 330, 2266, 311, 3234, 23198, 19, 204, 264, 320, 204, 264, 35896, 68, 9326, 68, 12450, 289, 388, 9853, 20304, 1449, 5058, 19, 1479, 7, 204, 264, 33205, 68, 4617, 289, 1127, 19, 4969, 19, 505, 499, 9187, 68, 4617, 431, 226, 314, 1974, 1964, 1554, 348, 4583, 896, 204, 264, 35896, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 22600, 68, 30813, 289, 1078, 204, 204, 676, 46940, 13, 3295, 2108, 330, 204, 264, 320, 204, 264, 11699, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 21706, 322, 2107, 330, 2266, 275, 1650, 353, 292, 5344, 2291, 19, 204, 264, 320, 204, 264, 21706, 289, 959, 204, 204, 676, 21043, 2108, 13, 3295, 2108, 330, 204, 264, 320, 204, 264, 21043, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 21706, 322, 2107, 330, 2266, 275, 1650, 353, 292, 5344, 2291, 19, 204, 264, 320, 204, 264, 21706, 289, 1078, 204, 0, 647, 2010, 448, 645, 204, 531, 1498, 532, 1884, 17, 1535, 204, 204, 461, 949, 68, 2393, 68, 8582, 13, 204, 264, 610, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 24969, 31, 645, 19, 766, 204, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 744, 204, 264, 320, 204, 264, 888, 275, 1672, 1869, 329, 6951, 302, 469, 1019, 348, 848, 2220, 610, 700, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 1309, 31, 10402, 302, 610, 1019, 19, 204, 268, 469, 68, 1309, 31, 10402, 302, 469, 1019, 19, 204, 268, 24969, 31, 10402, 302, 24969, 1376, 311, 636, 848, 424, 917, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 302, 322, 93, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 14, 1273, 610, 353, 437, 1348, 302, 2220, 610, 1019, 17, 204, 268, 469, 68, 3037, 353, 437, 1348, 302, 1672, 1869, 469, 1019, 17, 469, 68, 3960, 353, 437, 1348, 302, 1672, 2599, 204, 268, 5432, 302, 469, 1019, 17, 329, 1113, 68, 35442, 529, 275, 1113, 542, 302, 4858, 24969, 1376, 204, 268, 311, 3953, 848, 424, 917, 19, 204, 264, 320, 204, 264, 314, 763, 2220, 610, 1019, 204, 264, 2220, 68, 93, 68, 1309, 289, 645, 19, 5271, 13, 93, 68, 1309, 14, 204, 204, 264, 314, 977, 6946, 311, 1640, 1563, 204, 264, 469, 68, 8763, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 469, 68, 48871, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 1113, 68, 35442, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 339, 2562, 14, 204, 204, 264, 314, 1861, 1048, 2220, 610, 1019, 204, 264, 348, 296, 17, 610, 292, 3209, 13, 5271, 68, 93, 68, 1309, 330, 204, 268, 314, 763, 3265, 302, 469, 1019, 3310, 311, 790, 610, 700, 204, 268, 6849, 88, 289, 610, 68, 1309, 564, 610, 204, 822, 268, 314, 763, 469, 1019, 329, 24969, 348, 790, 610, 700, 204, 268, 26025, 289, 469, 68, 1309, 64, 25260, 66, 204, 268, 26555, 289, 24969, 64, 25260, 66, 204, 204, 268, 314, 888, 1672, 1869, 329, 2599, 5432, 204, 268, 469, 68, 8763, 64, 78, 66, 289, 645, 19, 3037, 13, 1286, 14, 204, 268, 469, 68, 48871, 64, 78, 66, 289, 645, 19, 3960, 13, 1286, 17, 29302, 522, 34, 22, 14, 226, 314, 1974, 29302, 522, 34, 22, 348, 1672, 2599, 5432, 204, 268, 1113, 68, 35442, 64, 78, 66, 289, 645, 19, 1303, 13, 853, 14, 204, 204, 264, 407, 2220, 68, 93, 68, 1309, 17, 469, 68, 8763, 17, 469, 68, 48871, 17, 1113, 68, 35442, 204, 204, 204, 461, 949, 68, 16145, 68, 16130, 68, 8582, 13, 204, 264, 610, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 9115, 31, 645, 19, 766, 17, 716, 264, 24969, 31, 645, 19, 766, 204, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 744, 204, 264, 320, 204, 264, 888, 275, 6276, 18, 16130, 6951, 302, 469, 1019, 348, 848, 2220, 610, 700, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 1309, 31, 10402, 302, 610, 1019, 19, 204, 268, 469, 68, 1309, 31, 10402, 302, 469, 1019, 19, 204, 268, 9115, 31, 10402, 302, 2599, 17654, 292, 469, 1019, 19, 204, 268, 24969, 31, 10402, 302, 24969, 1376, 311, 636, 848, 424, 917, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 302, 322, 93, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 14, 1273, 610, 353, 437, 1348, 302, 2220, 610, 1019, 17, 204, 268, 469, 68, 3037, 353, 437, 1348, 302, 6276, 18, 16130, 6951, 469, 1019, 17, 469, 68, 3960, 353, 437, 1348, 302, 204, 268, 6276, 18, 16130, 6951, 302, 469, 1019, 17, 329, 1113, 68, 35442, 529, 275, 1113, 542, 302, 4858, 204, 268, 24969, 1376, 311, 3953, 848, 424, 917, 19, 204, 264, 320, 204, 264, 314, 763, 2220, 610, 1019, 204, 264, 2220, 68, 93, 68, 1309, 289, 645, 19, 5271, 13, 93, 68, 1309, 14, 204, 204, 264, 314, 977, 6946, 311, 1640, 1563, 204, 264, 469, 68, 8763, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 469, 68, 48871, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 1113, 68, 35442, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 339, 2562, 14, 204, 204, 264, 314, 1861, 1048, 2220, 610, 1019, 204, 264, 348, 296, 17, 610, 292, 3209, 13, 5271, 68, 93, 68, 1309, 330, 204, 268, 314, 763, 3265, 302, 469, 1019, 3310, 311, 790, 610, 700, 204, 268, 6849, 88, 289, 610, 68, 1309, 564, 610, 204, 822, 268, 314, 763, 469, 1019, 17, 9115, 1019, 17, 329, 24969, 348, 790, 610, 700, 204, 268, 26025, 289, 469, 68, 1309, 64, 25260, 66, 204, 268, 32200, 289, 9115, 64, 25260, 66, 204, 268, 26555, 289, 24969, 64, 25260, 66, 204, 204, 268, 314, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 888, 3093, 204, 268, 3093, 289, 368, 802, 32200, 930, 435, 204, 204, 268, 314, 888, 6276, 18, 16130, 6951, 204, 268, 469, 68, 4415, 289, 368, 802, 645, 19, 1303, 13, 3815, 14, 204, 268, 469, 68, 8763, 64, 78, 66, 289, 469, 68, 4415, 540, 645, 19, 1303, 13, 3815, 540, 26025, 14, 204, 268, 469, 68, 48871, 64, 78, 66, 289, 645, 19, 2514, 13, 94, 68, 4415, 14, 204, 268, 1113, 68, 35442, 64, 78, 66, 289, 645, 19, 1303, 13, 853, 14, 204, 204, 264, 407, 2220, 68, 93, 68, 1309, 17, 469, 68, 8763, 17, 469, 68, 48871, 17, 1113, 68, 35442, 204, 204, 204, 461, 949, 68, 3037, 68, 3053, 68, 481, 13, 204, 264, 610, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 9115, 31, 1535, 64, 1123, 19, 766, 66, 289, 443, 17, 716, 264, 24969, 31, 1535, 64, 1123, 19, 766, 66, 289, 443, 17, 716, 264, 1216, 31, 394, 289, 388, 2393, 7, 204, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 744, 204, 264, 320, 204, 264, 888, 275, 1869, 329, 6951, 302, 469, 1019, 348, 848, 2220, 610, 700, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 1309, 31, 10402, 302, 610, 1019, 19, 204, 268, 469, 68, 1309, 31, 10402, 302, 469, 1019, 19, 204, 268, 9115, 31, 1535, 1348, 302, 2599, 17654, 292, 469, 1019, 19, 204, 268, 24969, 31, 1535, 1348, 302, 24969, 1376, 311, 636, 848, 424, 917, 19, 204, 268, 1216, 31, 6339, 311, 732, 348, 8397, 1869, 329, 6951, 322, 2305, 31, 388, 2393, 5561, 204, 204, 264, 475, 31, 204, 268, 1884, 302, 322, 93, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 14, 1273, 610, 353, 437, 1348, 302, 2220, 610, 1019, 17, 204, 268, 469, 68, 3037, 353, 437, 1348, 302, 1869, 469, 1019, 17, 469, 68, 3960, 353, 437, 1348, 302, 2599, 5432, 204, 268, 302, 469, 1019, 17, 329, 1113, 68, 35442, 529, 275, 1113, 542, 302, 4858, 24969, 1376, 311, 204, 268, 3953, 848, 424, 917, 19, 204, 264, 320, 204, 264, 314, 778, 397, 24969, 353, 1917, 17, 397, 508, 17, 838, 437, 1348, 302, 6399, 204, 264, 397, 24969, 353, 443, 521, 645, 19, 1933, 13, 1123, 19, 31131, 13, 35442, 4019, 204, 268, 24969, 289, 645, 19, 3535, 68, 4995, 13, 93, 68, 1309, 14, 204, 204, 264, 314, 11420, 4183, 1216, 204, 264, 397, 1216, 564, 388, 2393, 559, 204, 268, 407, 949, 68, 2393, 68, 8582, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 24969, 14, 204, 264, 1677, 1216, 564, 388, 41751, 91, 559, 204, 268, 397, 9115, 353, 443, 31, 204, 305, 980, 987, 499, 673, 6276, 18, 16130, 6951, 1216, 2950, 444, 1376, 440, 1758, 8456, 34, 3170, 69, 431, 204, 268, 407, 949, 68, 16145, 68, 16130, 68, 8582, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 9115, 17, 24969, 14, 204, 264, 902, 31, 204, 268, 980, 987, 13, 75, 7, 15204, 1216, 463, 1939, 743, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 4378, 19, 5380, 448, 1513, 204, 204, 264, 314, 2069, 1429, 1672, 424, 204, 264, 610, 68, 1309, 289, 645, 19, 15511, 13, 1123, 19, 8268, 13, 26, 659, 931, 14, 204, 264, 469, 68, 1309, 289, 645, 19, 2017, 19, 4056, 13, 21, 17, 368, 17, 1302, 34, 1719, 14, 204, 264, 9115, 289, 645, 19, 2017, 19, 8745, 13, 21, 19, 22, 17, 368, 17, 1302, 34, 1719, 14, 204, 264, 24969, 289, 645, 19, 2017, 19, 5574, 13, 22, 17, 931, 17, 1302, 34, 1719, 14, 204, 204, 264, 314, 888, 1869, 329, 6951, 204, 264, 610, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 289, 949, 68, 3037, 68, 3053, 68, 481, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 9115, 17, 24969, 17, 1216, 1022, 2393, 431, 204, 204, 264, 314, 3045, 275, 1563, 204, 264, 1513, 19, 718, 3520, 13, 93, 17, 469, 68, 3037, 17, 469, 5823, 34, 94, 68, 3960, 14, 204, 264, 1513, 19, 7246, 499, 61, 431, 204, 264, 1513, 19, 7127, 499, 62, 431, 204, 264, 1513, 19, 1778, 499, 12342, 9664, 329, 26174, 431, 204, 264, 1513, 19, 2896, 374, 204, 0, 990, 7442, 128, 7442, 260, 18889, 7442, 105, 35842, 11480, 239, 1001, 381, 239, 6281, 8552, 408, 40765, 22510, 460, 990, 16492, 45134, 18889, 8464, 204, 990, 44219, 22965, 6897, 1001, 381, 239, 12821, 1524, 10747, 408, 40765, 22510, 460, 990, 18889, 1524, 10747, 8464, 204, 450, 256, 6882, 11480, 243, 11480, 239, 204, 11423, 44339, 12115, 2426, 43224, 46995, 1398, 7442, 110, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 16057, 8428, 7442, 240, 6882, 11480, 243, 7442, 102, 7442, 259, 7442, 107, 7442, 241, 7442, 110, 725, 7442, 129, 11480, 247, 7442, 109, 10842, 3304, 43774, 105, 35842, 7442, 259, 568, 204, 2677, 13850, 16240, 8728, 408, 6445, 19726, 10842, 3304, 568, 2653, 204, 11448, 11341, 1345, 10144, 460, 990, 18889, 6882, 11480, 243, 11480, 239, 6681, 1262, 2337, 1227, 20469, 13764, 27082, 14281, 18889, 6882, 13, 7442, 238, 14, 11480, 243, 11480, 239, 1001, 13987, 1254, 990, 21574, 1871, 11198, 1001, 34498, 3865, 408, 8075, 990, 3500, 3964, 9317, 3606, 21826, 6681, 40765, 22510, 460, 990, 3500, 3964, 18889, 1001, 2356, 2879, 408, 204, 38782, 990, 21574, 1871, 11198, 1001, 8922, 3812, 10344, 9184, 408, 4987, 3977, 1377, 1871, 11198, 2235, 23095, 725, 23133, 2822, 1871, 11198, 568, 7931, 1456, 1254, 990, 1871, 11198, 7442, 128, 45334, 4138, 1001, 381, 239, 990, 1871, 11198, 1001, 34498, 10464, 23095, 3865, 568, 204, 5173, 7442, 123, 11480, 239, 10818, 381, 239, 10818, 6882, 11480, 243, 11480, 239, 10818, 381, 257, 10818, 5173, 7442, 123, 6882, 11480, 243, 11480, 239, 2677, 7960, 3964, 2653, 204, 5103, 7442, 243, 10818, 381, 239, 10818, 6882, 11480, 243, 11480, 239, 10818, 381, 257, 10818, 5103, 7442, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 241, 6882, 11480, 243, 11480, 239, 2677, 8356, 3964, 2653, 204, 11264, 990, 18889, 6882, 11480, 243, 11480, 239, 1001, 36534, 1262, 2337, 408, 11204, 1002, 5522, 14927, 408, 46668, 854, 22510, 460, 990, 3500, 3964, 18889, 7960, 3964, 18889, 8356, 3964, 18889, 1001, 17062, 460, 990, 18889, 3964, 1001, 20469, 17486, 408, 204, 9219, 14523, 3622, 1984, 226, 8075, 21826, 460, 990, 1871, 11198, 7442, 128, 45334, 4138, 1001, 33630, 7442, 128, 45334, 226, 381, 239, 10818, 6882, 11480, 243, 11480, 239, 204, 19532, 11480, 247, 7442, 260, 47495, 44339, 14781, 5173, 7442, 123, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 2677, 35294, 10086, 14781, 2402, 7960, 3964, 1111, 568, 2653, 204, 11277, 111, 11277, 257, 33630, 11277, 236, 47593, 5103, 7442, 241, 6882, 11480, 243, 7442, 102, 7442, 105, 7442, 239, 11480, 237, 725, 4294, 7442, 117, 7442, 110, 1490, 7442, 243, 568, 204, 2677, 8356, 3964, 11713, 40638, 27007, 8794, 568, 2653, 204, 4239, 5579, 7395, 7442, 102, 7442, 259, 34272, 44339, 725, 4895, 5579, 1191, 14731, 261, 7442, 129, 6882, 11480, 243, 11480, 239, 7442, 103, 11480, 230, 11480, 238, 7442, 260, 568, 204, 2677, 1390, 5579, 7395, 14081, 2853, 408, 38450, 46463, 5579, 7799, 3964, 568, 22856, 44339, 11480, 232, 7442, 102, 7442, 107, 5532, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 11277, 245, 11480, 127, 11480, 117, 47004, 7442, 240, 18865, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 11480, 237, 15428, 14374, 7442, 252, 11480, 239, 1001, 47593, 11480, 113, 11277, 109, 11277, 231, 11480, 113, 43774, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 381, 246, 4384, 47593, 7442, 239, 7442, 245, 7442, 105, 725, 11480, 232, 7442, 102, 7442, 107, 7442, 238, 452, 129, 47593, 8746, 35842, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 2677, 5562, 1111, 3977, 1377, 12502, 408, 24554, 2499, 10088, 2455, 8746, 3964, 1111, 568, 2653, 204, 11480, 129, 11277, 244, 11480, 117, 47593, 7403, 35842, 6882, 11480, 243, 7442, 102, 7442, 259, 11480, 237, 725, 11423, 6331, 7442, 110, 755, 125, 7442, 102, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 990, 450, 256, 7442, 239, 7442, 245, 1001, 2968, 25253, 8075, 990, 6776, 3500, 408, 6878, 41472, 3500, 3964, 19774, 6681, 1262, 25415, 5463, 15208, 16229, 9184, 408, 4987, 990, 16492, 45134, 1001, 37251, 568, 29362, 2499, 990, 450, 256, 7442, 239, 7442, 245, 1001, 14927, 1579, 22510, 460, 990, 450, 256, 1524, 45134, 6681, 14407, 990, 7799, 1524, 45134, 460, 5103, 17708, 7960, 1524, 45134, 460, 13951, 1001, 17062, 5957, 14523, 568, 204, 990, 450, 256, 7442, 239, 7442, 245, 1001, 36534, 1262, 2337, 408, 1456, 28049, 1871, 11198, 460, 990, 7442, 128, 45334, 4138, 1001, 10464, 408, 10434, 990, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 17708, 5173, 7442, 123, 7442, 239, 7442, 245, 1001, 13688, 3028, 11198, 568, 15289, 3865, 990, 450, 256, 7442, 239, 7442, 245, 11480, 239, 1001, 16229, 408, 10434, 990, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 11480, 239, 17708, 5173, 7442, 123, 7442, 239, 7442, 245, 11480, 239, 1001, 17062, 460, 21574, 1871, 11198, 568, 204, 24159, 7335, 19517, 9466, 4197, 1191, 408, 1674, 1811, 990, 450, 256, 7442, 105, 35842, 11480, 239, 1001, 36534, 1262, 2337, 408, 2336, 20469, 1227, 990, 450, 256, 7442, 239, 7442, 245, 1001, 2675, 6308, 408, 2780, 1955, 12603, 1456, 10144, 1438, 3977, 17535, 9978, 18889, 204, 1871, 11198, 7442, 128, 45334, 4138, 226, 33630, 7442, 128, 45334, 226, 381, 239, 226, 7442, 239, 7442, 245, 10818, 30931, 450, 256, 204, 1871, 11198, 7442, 128, 45334, 4138, 226, 33630, 7442, 128, 45334, 226, 381, 239, 7442, 239, 7442, 245, 11480, 239, 204, 8188, 13843, 119, 10398, 7442, 110, 7442, 230, 11480, 239, 9058, 7442, 129, 7442, 239, 7442, 245, 30931, 11277, 247, 33630, 11277, 110, 47593, 22201, 7442, 105, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 1024, 248, 14515, 19260, 47889, 3362, 16749, 1524, 45134, 460, 44436, 568, 7442, 247, 30931, 34272, 44339, 7442, 128, 7442, 260, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 7442, 260, 568, 204, 2677, 1438, 2183, 34272, 4770, 7799, 1524, 45134, 568, 2653, 204, 11277, 243, 47004, 11277, 244, 33630, 11480, 111, 33630, 47593, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 241, 7442, 110, 725, 1390, 2591, 7442, 239, 11480, 237, 14735, 7442, 240, 1550, 7442, 259, 568, 204, 2677, 12232, 26085, 7960, 1524, 45134, 8728, 408, 1390, 2591, 47954, 32085, 568, 2653, 204, 11480, 232, 11480, 238, 7442, 239, 7442, 245, 7442, 259, 7442, 247, 7442, 107, 47593, 725, 7442, 249, 7442, 102, 7442, 249, 7442, 107, 8088, 7442, 249, 7442, 255, 7442, 109, 7442, 249, 35842, 4134, 204, 2780, 12665, 1674, 27930, 990, 1871, 11198, 7442, 105, 4138, 381, 239, 35842, 11480, 239, 1001, 1262, 2337, 408, 2657, 1227, 990, 450, 256, 7442, 239, 7442, 245, 1001, 10236, 7474, 568, 3977, 2449, 22664, 8075, 990, 42986, 19418, 16492, 45134, 1001, 37251, 408, 19759, 20681, 2657, 6366, 7712, 725, 20469, 8221, 942, 6325, 6650, 11679, 408, 11448, 7617, 38213, 10073, 27082, 1984, 204, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 7442, 259, 2183, 47593, 22856, 7442, 110, 14127, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 11319, 2218, 831, 2183, 1527, 7799, 1524, 45134, 460, 5103, 568, 2653, 204, 7442, 128, 7442, 260, 14731, 261, 11480, 247, 47099, 35842, 11480, 239, 7442, 257, 30931, 2183, 47593, 22856, 7442, 110, 14127, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 11319, 2218, 831, 2183, 1527, 12703, 7799, 460, 5103, 568, 2653, 204, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 11480, 115, 33630, 11480, 261, 47593, 8188, 13843, 119, 10398, 7442, 110, 2739, 11480, 240, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 2499, 7960, 1524, 45134, 460, 47809, 4224, 1899, 47889, 1191, 568, 2653, 204, 7442, 128, 7442, 260, 5173, 7442, 123, 6882, 11480, 243, 7442, 102, 7442, 105, 35842, 7442, 109, 35842, 7442, 257, 30931, 11480, 115, 33630, 11480, 261, 47593, 8188, 13843, 119, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10398, 7442, 110, 2739, 11480, 240, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 2499, 22515, 41472, 7960, 3964, 460, 47809, 4224, 1899, 47889, 1191, 568, 2653, 204, 7466, 408, 2657, 26508, 14927, 1579, 1984, 204, 5103, 7442, 241, 7442, 239, 7442, 245, 30931, 3304, 9826, 47593, 1670, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 23860, 13733, 8356, 1524, 45134, 460, 2868, 568, 2653, 204, 7442, 247, 30931, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 11480, 119, 11277, 108, 11277, 228, 44339, 15276, 30931, 47099, 45334, 7442, 239, 3812, 204, 2677, 5002, 7960, 1524, 45134, 460, 12147, 6969, 854, 15276, 460, 3812, 2653, 204, 22856, 5282, 7442, 240, 13956, 11480, 240, 7442, 239, 7442, 245, 7442, 259, 1398, 725, 13507, 44339, 22856, 5282, 30931, 43103, 47593, 7442, 103, 7442, 239, 11480, 247, 47099, 725, 204, 10694, 35842, 47099, 13517, 10694, 3068, 47593, 14870, 11480, 247, 7442, 260, 568, 204, 2677, 921, 6079, 4565, 1345, 13956, 1926, 1398, 408, 1527, 32015, 21517, 3304, 33924, 408, 10694, 18951, 13265, 1111, 13517, 4831, 3068, 568, 2653, 204, 7544, 7442, 249, 11480, 247, 7442, 240, 25887, 11480, 238, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 241, 725, 39337, 7442, 110, 3028, 2426, 47593, 14870, 7442, 114, 11480, 240, 7442, 259, 568, 204, 2677, 921, 7544, 15600, 4565, 1345, 16869, 3013, 8728, 408, 3944, 39337, 13265, 7756, 12080, 568, 2653, 204, 13507, 7442, 240, 4172, 47099, 3591, 124, 11480, 240, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 247, 11480, 241, 47593, 725, 22856, 7442, 240, 4828, 7442, 245, 7442, 105, 7442, 243, 11480, 240, 7442, 259, 568, 204, 2677, 30670, 4172, 3362, 4565, 3591, 124, 2321, 8728, 408, 2218, 13517, 1111, 1527, 568, 2653, 204, 7925, 25887, 11480, 238, 3523, 170, 125, 101, 43774, 105, 725, 11422, 7442, 234, 7442, 243, 11509, 7442, 110, 7442, 239, 7442, 245, 7442, 259, 568, 204, 2677, 28923, 4348, 15712, 240, 16869, 28923, 44946, 408, 7658, 15208, 1970, 3468, 6897, 1111, 568, 2653, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 36534, 1262, 2337, 408, 40765, 22510, 460, 990, 11583, 18889, 6681, 8777, 8075, 990, 11583, 3500, 3964, 9317, 3606, 21826, 6681, 14407, 990, 11583, 7893, 1111, 27741, 725, 14328, 11583, 11095, 4402, 1111, 1001, 17062, 5957, 14523, 568, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 7931, 1456, 1227, 990, 1871, 11198, 7442, 128, 45334, 4138, 1001, 10236, 3865, 408, 10434, 990, 6553, 11480, 238, 7442, 241, 11480, 239, 725, 1670, 43774, 241, 11480, 239, 1001, 13688, 21574, 1871, 11198, 408, 8075, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 2356, 2879, 408, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 9189, 15881, 3606, 5146, 7796, 20469, 408, 4987, 2657, 8075, 990, 5881, 4907, 12682, 6681, 11448, 4226, 23537, 408, 18824, 46668, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 1550, 14927, 17486, 408, 204, 9219, 14523, 3622, 1984, 10818, 1871, 11198, 7442, 128, 45334, 4138, 33630, 7442, 128, 45334, 226, 381, 239, 226, 7442, 241, 11480, 239, 204, 990, 19048, 27449, 1001, 7442, 107, 35842, 7442, 234, 34272, 47593, 43224, 1565, 7442, 239, 7442, 245, 7442, 105, 14731, 261, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 5562, 9486, 1565, 4384, 408, 26043, 7799, 3964, 1111, 19048, 27449, 1438, 2183, 34272, 568, 2653, 204, 7442, 247, 11480, 247, 7442, 109, 2382, 7442, 249, 35842, 3068, 725, 2014, 3012, 2739, 11480, 238, 7442, 241, 11480, 240, 7442, 109, 35842, 11480, 236, 568, 204, 2677, 16497, 20665, 3068, 408, 10904, 14781, 6155, 2402, 41048, 30749, 568, 2653, 5490, 4138, 1262, 2337, 990, 7442, 241, 11480, 240, 11480, 239, 1001, 204, 7442, 247, 11480, 247, 7442, 109, 13665, 232, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 4276, 725, 5284, 7442, 105, 35842, 7442, 105, 1326, 251, 1789, 7442, 240, 11480, 236, 7442, 243, 7442, 109, 11480, 239, 568, 204, 2677, 7986, 4709, 17270, 460, 40642, 408, 39672, 9238, 33367, 1456, 3796, 2174, 568, 22856, 44339, 1902, 1789, 7442, 240, 3429, 37378, 35842, 7442, 107, 7174, 35842, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 2218, 3964, 11583, 2014, 18260, 39389, 3994, 854, 31186, 568, 2653, 204, 18721, 44339, 725, 26807, 11480, 240, 7442, 241, 7442, 102, 7442, 105, 8333, 7442, 239, 11480, 237, 988, 114, 7442, 102, 7442, 105, 7442, 241, 7442, 259, 568, 204, 3181, 120, 11277, 247, 33630, 11277, 110, 47593, 9058, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 568, 204, 7442, 257, 30931, 7442, 247, 7442, 107, 44339, 15276, 47099, 11480, 230, 11480, 243, 7442, 239, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 2730, 646, 259, 7442, 260, 568, 204, 2677, 3878, 28987, 854, 26044, 2402, 26043, 25316, 12265, 2094, 568, 2653, 204, 7442, 109, 11480, 247, 7442, 107, 7442, 239, 7442, 257, 30931, 15051, 47593, 27853, 7442, 242, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 4262, 42191, 26043, 4294, 3964, 3878, 4906, 8627, 1111, 568, 2653, 204, 1902, 1789, 7442, 259, 7442, 100, 30931, 3617, 7442, 102, 7442, 105, 35842, 11480, 239, 2034, 47593, 4623, 1990, 47099, 1670, 43774, 241, 11480, 240, 7442, 114, 725, 204, 7442, 241, 7442, 102, 7442, 107, 11457, 7442, 105, 7442, 128, 45334, 11480, 236, 568, 204, 2677, 14037, 2499, 7413, 19598, 26043, 14034, 921, 43190, 408, 7191, 6899, 12910, 31590, 568, 2653, 204, 15387, 13522, 7442, 249, 11480, 247, 44339, 22856, 30931, 7442, 247, 7442, 107, 47593, 2868, 7442, 252, 7442, 241, 7442, 102, 7442, 105, 35842, 7442, 259, 568, 204, 13409, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 21044, 30931, 21208, 47593, 3429, 43774, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 3883, 3429, 6225, 26043, 13409, 12515, 460, 21044, 21208, 568, 2653, 204, 26807, 11480, 240, 7442, 241, 7442, 102, 7442, 105, 35842, 7442, 259, 7442, 240, 725, 2014, 3036, 25887, 11480, 240, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 2677, 10282, 6225, 12510, 1524, 1002, 1490, 1111, 408, 6878, 7441, 11583, 16869, 1002, 3013, 568, 2653, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 15289, 3865, 990, 1871, 11198, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5490, 4138, 1001, 460, 31925, 990, 450, 256, 7442, 241, 11480, 240, 11480, 239, 6681, 11448, 7931, 42498, 7479, 2093, 31925, 990, 450, 256, 7442, 241, 11480, 240, 7442, 109, 35842, 6681, 8075, 990, 10904, 11583, 18889, 725, 10904, 26043, 18889, 1001, 37251, 408, 204, 22856, 5282, 30931, 7442, 247, 7442, 107, 47593, 2492, 255, 11480, 229, 7442, 241, 11480, 240, 7442, 109, 35842, 568, 204, 7442, 247, 30931, 11480, 232, 11480, 238, 1740, 7442, 247, 7442, 257, 3429, 37378, 35842, 7442, 107, 7174, 35842, 7442, 241, 11480, 240, 11480, 239, 568, 204, 2677, 16497, 20665, 3068, 408, 10904, 14781, 6155, 2402, 41048, 30749, 568, 2653, 204, 7442, 247, 30931, 2698, 8428, 7442, 110, 2642, 7442, 236, 7442, 241, 11480, 240, 7442, 109, 35842, 7442, 125, 7442, 108, 30931, 4384, 47593, 3856, 11480, 232, 43774, 259, 568, 204, 2677, 36534, 9516, 36984, 1111, 2642, 2356, 1002, 7893, 15563, 568, 2653, 204, 990, 450, 256, 7442, 111, 7442, 243, 1001, 36534, 1262, 2337, 37251, 408, 1227, 10020, 4770, 10144, 460, 990, 450, 256, 7442, 241, 11480, 239, 1001, 13764, 35458, 408, 18824, 31244, 990, 11583, 18889, 1001, 460, 5957, 3464, 408, 6878, 5890, 33105, 20679, 1984, 204, 40765, 22510, 460, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 204, 40765, 22510, 460, 990, 18889, 10852, 1524, 10747, 1001, 204, 23206, 113, 10818, 43224, 46995, 46995, 11480, 261, 11277, 261, 30931, 11277, 258, 11277, 108, 11480, 127, 47004, 47593, 6553, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 568, 204, 23206, 113, 10818, 19532, 11480, 247, 7442, 260, 14409, 2591, 47593, 14781, 5173, 7442, 123, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 2499, 35294, 14409, 2591, 11583, 7960, 3964, 568, 10818, 19532, 11480, 247, 7442, 260, 14409, 2591, 47593, 14781, 5173, 7442, 123, 7442, 111, 35842, 7442, 259, 568, 204, 12994, 10220, 450, 256, 7442, 111, 7442, 243, 1001, 1886, 1227, 990, 450, 256, 7442, 241, 11480, 239, 1001, 10368, 408, 13987, 1254, 21574, 1871, 11198, 34498, 7363, 408, 14407, 990, 4256, 7442, 236, 7442, 111, 35842, 7442, 259, 17708, 6553, 11480, 238, 7442, 111, 35842, 7442, 259, 1001, 17062, 18889, 204, 9219, 14523, 3622, 1984, 10818, 1871, 11198, 7442, 128, 45334, 4138, 33630, 7442, 128, 45334, 226, 381, 239, 7442, 111, 7442, 243, 204, 11480, 118, 33630, 11277, 110, 7442, 128, 47099, 6553, 11480, 238, 7442, 111, 35842, 7442, 259, 568, 204, 2117, 127, 6496, 11480, 238, 7442, 111, 35842, 7442, 259, 7442, 240, 725, 3455, 5556, 2436, 7442, 110, 1990, 11480, 243, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 2677, 10282, 12821, 1524, 10747, 408, 6878, 10858, 7617, 1550, 42081, 568, 2653, 204, 7442, 247, 11480, 240, 44339, 3283, 11277, 120, 2903, 4256, 7442, 236, 7442, 111, 35842, 7442, 259, 44250, 47099, 45334, 568, 204, 2677, 9536, 11035, 3283, 14881, 34240, 10747, 460, 44250, 35627, 5110, 6510, 10720, 10706, 13911, 44250, 568, 2653, 204, 7442, 108, 11480, 247, 7442, 109, 7442, 110, 5522, 43774, 243, 7442, 105, 11480, 230, 725, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 7442, 103, 11480, 230, 11480, 238, 7442, 260, 568, 204, 2677, 14752, 4762, 10943, 45706, 408, 1527, 2402, 3730, 12821, 1524, 10747, 568, 2653, 204, 44219, 22965, 6897, 2117, 127, 6496, 7442, 102, 7442, 259, 7442, 240, 725, 3455, 5556, 2436, 7442, 110, 1990, 11480, 243, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 7442, 247, 11480, 240, 44339, 3283, 11277, 120, 2903, 44219, 22965, 6897, 4256, 7442, 236, 7442, 259, 44250, 47099, 45334, 568, 204, 2677, 9536, 11035, 3283, 14881, 17271, 6897, 12198, 13911, 44250, 568, 2653, 204, 7442, 247, 30931, 14661, 44339, 2117, 127, 6496, 11480, 238, 7442, 111, 35842, 7442, 259, 4001, 47099, 45334, 568, 204, 2677, 5002, 14661, 4987, 2766, 12821, 1524, 10747, 460, 16325, 568, 2653, 204, 22856, 5282, 44339, 381, 246, 7442, 103, 30931, 7221, 1251, 755, 105, 47593, 1401, 7442, 241, 7442, 111, 35842, 7442, 259, 568, 204, 2677, 6079, 921, 29946, 7221, 48378, 1191, 2402, 28308, 1524, 10747, 35627, 42159, 1111, 29946, 7221, 48378, 568, 2653, 204, 1353, 124, 44339, 755, 105, 6642, 7442, 107, 43774, 105, 10747, 7442, 128, 47099, 755, 105, 35842, 7442, 111, 7442, 243, 568, 204, 7442, 247, 11480, 240, 44339, 13507, 7442, 240, 4256, 7442, 236, 7442, 111, 35842, 7442, 105, 1670, 43774, 259, 44250, 7442, 260, 568, 204, 2677, 9536, 1527, 12821, 21641, 1524, 10747, 36148, 13934, 44250, 568, 2653, 204, 990, 450, 256, 7442, 111, 7442, 243, 1001, 7931, 1456, 1262, 921, 990, 12821, 13572, 1524, 10747, 1001, 12816, 408, 7466, 35329, 4265, 990, 12821, 725, 13572, 1001, 20469, 460, 5957, 14523, 408, 3865, 990, 450, 256, 7442, 111, 7442, 243, 1001, 12562, 28560, 7474, 1002, 9754, 568, 204, 23206, 113, 10818, 5522, 37378, 35842, 581, 249, 2730, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 16553, 13423, 3500, 3964, 568, 10818, 11277, 258, 47004, 11480, 111, 47593, 14731, 261, 7442, 129, 7442, 111, 7442, 243, 568, 204, 23206, 113, 10818, 7442, 257, 11480, 240, 7442, 110, 171, 250, 101, 45334, 11480, 239, 18014, 47593, 14731, 261, 7442, 129, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 24805, 42806, 7799, 1524, 10747, 568, 2653, 204, 10621, 117, 10818, 11277, 234, 11277, 111, 11277, 247, 11480, 116, 33630, 11277, 260, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 17853, 12821, 8794, 1524, 10747, 568, 2653, 204, 23206, 113, 10818, 3977, 11277, 120, 2903, 7442, 110, 11480, 243, 7442, 259, 11480, 239, 11277, 251, 11277, 261, 11480, 122, 11480, 106, 11480, 113, 11277, 236, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 2564, 4144, 3977, 14881, 460, 3293, 5011, 12821, 3590, 1524, 10747, 568, 2653, 204, 46166, 10818, 8075, 40036, 8088, 9317, 2730, 1398, 408, 7931, 3865, 990, 450, 256, 6882, 11480, 243, 11480, 239, 8464, 204, 23206, 113, 10818, 11480, 238, 11480, 247, 7442, 248, 47593, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 568, 204, 23206, 113, 10818, 5173, 7442, 123, 7442, 239, 7442, 245, 30931, 11480, 238, 11480, 247, 7442, 248, 568, 204, 20985, 101, 10818, 8075, 990, 3964, 11583, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2014, 725, 831, 22245, 1002, 22467, 725, 14781, 4484, 4402, 1001, 40422, 1398, 408, 204, 23206, 113, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 43774, 241, 7442, 102, 7442, 259, 568, 204, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 43774, 111, 35842, 7442, 259, 568, 204, 2677, 6225, 2678, 1670, 14781, 460, 2034, 3464, 1111, 568, 2653, 204, 23206, 113, 10818, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 7442, 103, 11480, 230, 11480, 238, 47099, 45334, 568, 204, 10818, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 6882, 11480, 243, 11480, 239, 7442, 103, 11480, 230, 11480, 238, 47099, 45334, 568, 0, 47903, 12425, 1565, 30, 2903, 6776, 408, 42749, 460, 990, 9366, 1116, 9366, 1999, 1001, 20315, 15244, 10700, 408, 13764, 21596, 18196, 42749, 21127, 3941, 12644, 12164, 10332, 13265, 13375, 1002, 43443, 408, 23060, 854, 15103, 2544, 7756, 408, 10961, 43697, 3064, 3136, 27102, 42749, 725, 44954, 22858, 568, 11204, 35519, 11952, 1456, 1111, 11069, 9366, 1116, 9366, 1999, 884, 4134, 9366, 1116, 9366, 1999, 17413, 2853, 3675, 42749, 31036, 1111, 3429, 19667, 408, 854, 42749, 4769, 7080, 3183, 45012, 12644, 14609, 408, 14609, 9238, 6744, 5522, 3500, 408, 17202, 17584, 26562, 4134, 226, 3429, 23766, 42749, 460, 20315, 921, 40861, 460, 3796, 408, 7044, 4404, 42749, 9934, 460, 13032, 7059, 4126, 2849, 13391, 1951, 6949, 408, 1603, 42749, 21127, 14590, 8957, 8767, 18906, 12547, 9603, 1111, 2188, 17150, 8915, 460, 21938, 408, 13764, 21938, 854, 5584, 6897, 460, 408, 24378, 1002, 8915, 12562, 3675, 21127, 5216, 3500, 5216, 9416, 1946, 408, 10961, 2051, 11847, 46731, 2402, 7416, 1002, 7756, 4134, 226, 4525, 7224, 2014, 8706, 460, 21127, 14590, 13032, 9238, 408, 28, 18, 1909, 2773, 15699, 5227, 2822, 1951, 7296, 17490, 4287, 1524, 44364, 408, 5277, 46952, 2453, 30118, 921, 1926, 9784, 11753, 31461, 2638, 408, 19759, 30118, 2657, 7689, 7689, 460, 8494, 921, 44364, 4134, 226, 7617, 3878, 28156, 1984, 42749, 3079, 1398, 3079, 10135, 29726, 11679, 4134, 35411, 8547, 1390, 42749, 460, 47726, 22447, 36135, 22347, 408, 7224, 2570, 23412, 13032, 408, 3500, 2570, 6444, 13172, 460, 2704, 5201, 4134, 204, 0, 647, 1437, 204, 531, 1437, 532, 2976, 17, 2839, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 204, 531, 15397, 532, 8112, 204, 204, 531, 1485, 532, 14924, 5030, 204, 531, 570, 532, 23348, 19965, 204, 531, 13703, 532, 1295, 7700, 204, 204, 8, 968, 3454, 204, 10710, 68, 2956, 31, 421, 289, 7328, 204, 14710, 31, 421, 289, 931, 204, 18290, 68, 9572, 31, 818, 289, 500, 19, 7585, 204, 204, 461, 838, 68, 481, 68, 4072, 374, 393, 8112, 19, 16612, 31, 204, 264, 320, 204, 264, 666, 273, 424, 6220, 6704, 19, 204, 204, 264, 475, 31, 204, 268, 8112, 19, 16612, 31, 332, 12593, 302, 424, 13228, 19, 204, 264, 320, 204, 264, 314, 968, 424, 6220, 204, 264, 407, 8112, 19, 16612, 1568, 204, 268, 8112, 19, 40794, 3782, 13, 920, 68, 1420, 68, 4588, 34, 22, 659, 204, 268, 8112, 19, 30407, 13, 2051, 659, 204, 268, 8112, 19, 22604, 2144, 204, 268, 8112, 19, 25726, 1802, 21, 18671, 322, 22, 41441, 204, 264, 9174, 204, 204, 461, 1137, 68, 481, 13, 4072, 31, 8112, 19, 16612, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1485, 329, 838, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 3204, 322, 13558, 19, 16612, 330, 332, 12593, 302, 424, 13228, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 424, 18173, 348, 951, 17, 683, 17, 329, 3587, 3416, 19, 204, 264, 320, 204, 264, 314, 1385, 1485, 329, 838, 424, 18173, 204, 264, 1485, 289, 14924, 5030, 13, 4072, 14, 204, 264, 6835, 289, 1485, 19, 1219, 68, 804, 68, 2182, 13, 21, 19, 23, 17, 500, 19, 22, 14, 204, 264, 44756, 289, 463, 204, 268, 610, 31, 8641, 13, 8271, 64, 93, 648, 20476, 68, 2956, 17, 8062, 34, 1021, 17, 771, 68, 8938, 34, 21, 17, 5790, 68, 2391, 34, 1021, 14, 204, 268, 348, 610, 292, 2470, 1219, 491, 379, 804, 491, 379, 577, 839, 204, 264, 1211, 204, 264, 407, 44756, 204, 204, 461, 951, 68, 809, 13, 204, 264, 570, 31, 2839, 19, 3732, 17, 716, 264, 2322, 31, 1437, 19, 3075, 17, 716, 264, 44756, 31, 1135, 17, 716, 264, 9616, 31, 2839, 19, 24987, 17, 716, 264, 4209, 31, 2976, 19, 12967, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 444, 6020, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 951, 275, 570, 523, 19, 204, 268, 44756, 322, 873, 330, 332, 955, 1174, 424, 18173, 348, 951, 17, 683, 17, 329, 3587, 3416, 19, 204, 268, 9616, 322, 2606, 19, 24987, 330, 334, 2210, 741, 19, 204, 268, 4209, 322, 4647, 19, 12967, 330, 334, 4209, 19, 204, 264, 320, 204, 264, 570, 19, 1219, 374, 204, 264, 10418, 289, 1306, 204, 264, 4436, 68, 2650, 289, 500, 19, 21, 204, 264, 679, 68, 5951, 289, 500, 204, 204, 264, 314, 2672, 275, 570, 348, 273, 1713, 542, 302, 6175, 204, 264, 348, 3741, 292, 933, 13, 14710, 330, 204, 268, 348, 296, 17, 424, 292, 3209, 13, 73, 34122, 736, 1219, 2043, 500, 330, 204, 305, 679, 68, 5951, 1412, 368, 204, 204, 305, 314, 763, 3806, 329, 1769, 204, 305, 3806, 17, 1769, 289, 424, 736, 13475, 2043, 424, 736, 1676, 839, 204, 305, 3806, 289, 3806, 19, 633, 13, 3075, 14, 204, 204, 305, 314, 7628, 275, 11431, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 204, 305, 314, 9711, 1879, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 204, 305, 314, 8254, 1769, 348, 2210, 4183, 204, 305, 1769, 289, 1769, 19, 1529, 13, 10710, 68, 2956, 17, 338, 22, 789, 16916, 13, 22, 789, 5515, 1528, 633, 13, 3075, 14, 204, 204, 305, 314, 888, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2210, 204, 305, 2210, 289, 9616, 13, 7247, 19, 1529, 13, 10710, 68, 2956, 17, 338, 22, 659, 1769, 14, 204, 204, 305, 314, 24210, 1879, 204, 305, 2210, 19, 12242, 374, 204, 204, 305, 314, 1716, 570, 2072, 204, 305, 4209, 19, 2290, 374, 204, 204, 305, 314, 1716, 4436, 2210, 204, 305, 4436, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 204, 305, 314, 1198, 2210, 630, 4217, 7046, 204, 305, 397, 296, 1564, 931, 564, 500, 31, 204, 485, 10418, 19, 1223, 13, 10051, 68, 2650, 802, 931, 14, 204, 485, 456, 13, 75, 18380, 96, 4220, 1522, 463, 78, 11129, 2210, 31, 463, 12667, 3327, 22, 33984, 24, 75, 3501, 204, 485, 4436, 68, 2650, 289, 500, 19, 21, 204, 204, 305, 314, 4938, 570, 523, 3587, 758, 630, 4217, 7046, 204, 305, 397, 679, 68, 5951, 1564, 1607, 564, 500, 31, 204, 485, 13703, 19, 6844, 13, 73, 34122, 736, 577, 2378, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 424, 6220, 204, 264, 3204, 289, 838, 68, 481, 68, 4072, 374, 204, 204, 264, 314, 1385, 424, 204, 264, 44756, 289, 1137, 68, 481, 13, 4072, 14, 204, 204, 264, 314, 1198, 1485, 7539, 204, 264, 456, 13, 75, 1954, 1796, 13, 73, 34122, 736, 1219, 2378, 1522, 463, 1796, 13, 73, 34122, 736, 804, 2378, 1522, 463, 1796, 13, 73, 34122, 736, 577, 2378, 98, 2672, 17, 1295, 329, 11643, 30439, 431, 204, 204, 264, 314, 977, 570, 17, 2322, 17, 329, 4209, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 31, 21, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 431, 204, 264, 570, 289, 23348, 19965, 374, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 264, 9616, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 2976, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 18290, 68, 9572, 14, 204, 264, 4610, 13703, 716, 264, 13703, 289, 1295, 7700, 13, 3075, 17, 20476, 68, 2956, 17, 9616, 17, 570, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 951, 68, 809, 13, 809, 17, 2322, 17, 44756, 17, 9616, 17, 4209, 14, 204, 204, 264, 314, 4938, 570, 523, 683, 758, 204, 264, 13703, 19, 6844, 13, 73, 34122, 736, 804, 2378, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 461, 838, 68, 28276, 46461, 68, 2052, 13, 3173, 31, 421, 17, 2630, 31, 421, 17, 11447, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2605, 273, 46460, 46461, 2668, 440, 275, 800, 542, 302, 3015, 17, 2630, 17, 329, 11447, 1870, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 2668, 19, 204, 268, 2630, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 2668, 19, 204, 268, 11447, 322, 339, 330, 334, 11447, 1870, 302, 275, 2668, 322, 22, 17, 435, 17, 521, 571, 789, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 435, 41, 458, 2457, 275, 46460, 46461, 2668, 19, 204, 264, 320, 204, 264, 314, 968, 275, 542, 302, 23260, 1609, 523, 275, 11447, 1870, 204, 264, 14960, 68, 3115, 289, 463, 22, 31, 931, 17, 435, 31, 2846, 17, 571, 31, 10923, 98, 204, 264, 771, 68, 28276, 289, 14960, 68, 3115, 19, 505, 13, 22689, 17, 931, 14, 226, 314, 1540, 311, 931, 397, 11447, 353, 508, 1193, 204, 204, 264, 314, 666, 437, 1392, 2668, 204, 264, 2668, 289, 5787, 21, 348, 906, 292, 933, 13, 3786, 2395, 348, 906, 292, 933, 13, 3173, 2395, 204, 204, 264, 314, 20328, 2481, 23260, 523, 275, 2668, 204, 264, 23260, 68, 21320, 289, 500, 204, 264, 1335, 23260, 68, 21320, 962, 771, 68, 28276, 31, 204, 268, 1237, 289, 1400, 19, 5574, 13, 21, 17, 3015, 338, 368, 14, 204, 268, 734, 289, 1400, 19, 5574, 13, 21, 17, 2630, 338, 368, 14, 204, 268, 397, 2668, 64, 937, 1799, 982, 66, 2167, 338, 22, 31, 204, 305, 2668, 64, 937, 1799, 982, 66, 289, 338, 22, 204, 305, 23260, 68, 21320, 1412, 368, 204, 204, 264, 314, 1716, 275, 2668, 440, 14960, 4442, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 348, 781, 292, 933, 13, 3786, 330, 204, 305, 397, 2668, 64, 78, 1799, 79, 66, 2167, 338, 22, 31, 204, 485, 314, 3398, 275, 542, 302, 23260, 3332, 275, 790, 2092, 204, 485, 14960, 68, 765, 289, 1040, 68, 28276, 68, 21280, 13, 2052, 17, 296, 17, 781, 14, 204, 485, 2668, 64, 78, 1799, 79, 66, 289, 14960, 68, 765, 204, 204, 264, 407, 2668, 204, 204, 204, 461, 1040, 68, 28276, 68, 21280, 13, 2052, 31, 458, 17, 1237, 31, 421, 17, 734, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 23260, 3332, 275, 800, 2092, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 655, 330, 334, 46460, 46461, 2668, 19, 204, 268, 1237, 322, 339, 330, 334, 1237, 1112, 302, 275, 2092, 19, 204, 268, 734, 322, 339, 330, 334, 1837, 1112, 302, 275, 2092, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 23260, 3332, 275, 2092, 19, 204, 264, 320, 204, 264, 3015, 17, 10426, 289, 1245, 13, 2052, 659, 1245, 13, 2052, 64, 21, 694, 204, 264, 14960, 68, 765, 289, 500, 204, 264, 348, 296, 292, 933, 13, 1129, 13, 21, 17, 1237, 338, 368, 659, 1006, 13, 3173, 17, 1237, 465, 435, 4019, 204, 268, 348, 781, 292, 933, 13, 1129, 13, 21, 17, 734, 338, 368, 659, 1006, 13, 6103, 17, 734, 465, 435, 4019, 204, 305, 397, 322, 78, 17, 781, 14, 2167, 322, 937, 17, 734, 14, 329, 2668, 64, 78, 1799, 79, 66, 564, 338, 22, 31, 204, 485, 14960, 68, 765, 1412, 368, 204, 264, 407, 14960, 68, 765, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3015, 289, 931, 204, 264, 2630, 289, 931, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11447, 289, 435, 204, 264, 2668, 289, 838, 68, 28276, 46461, 68, 2052, 13, 3173, 17, 2630, 17, 11447, 14, 204, 264, 348, 1237, 292, 2668, 31, 204, 268, 456, 13, 937, 14, 204, 0, 647, 1127, 204, 531, 1498, 532, 1061, 204, 204, 676, 6408, 31, 204, 264, 320, 204, 264, 6408, 850, 348, 35269, 424, 3599, 1650, 19, 204, 204, 264, 1058, 850, 28382, 9289, 275, 1586, 2557, 348, 275, 1650, 17, 2864, 204, 264, 7450, 4997, 17, 1104, 329, 3599, 1987, 17, 711, 510, 17, 329, 904, 3600, 204, 264, 3695, 348, 21035, 8916, 424, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1586, 2557, 19, 204, 204, 268, 334, 2557, 529, 3271, 497, 1964, 2558, 19, 828, 275, 1964, 2558, 204, 268, 529, 508, 758, 17, 275, 1540, 1019, 529, 1376, 19, 204, 268, 320, 204, 268, 314, 1385, 7450, 4997, 497, 1964, 2558, 204, 268, 370, 19, 8946, 68, 2463, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 8737, 491, 8930, 204, 268, 370, 19, 8946, 68, 898, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 20521, 68, 7660, 491, 40158, 602, 204, 268, 370, 19, 8946, 68, 816, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 6520, 491, 8930, 204, 268, 370, 19, 8946, 68, 1989, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 9778, 491, 8930, 204, 204, 268, 314, 5496, 329, 3599, 1987, 204, 268, 370, 19, 481, 68, 1479, 31, 394, 289, 388, 23923, 1270, 7, 204, 268, 370, 19, 481, 68, 5763, 31, 394, 289, 388, 23923, 8653, 7, 204, 204, 268, 314, 2175, 510, 204, 268, 370, 19, 761, 68, 553, 31, 394, 289, 388, 761, 19, 1775, 7, 204, 204, 268, 314, 4853, 3059, 3695, 311, 636, 8916, 424, 204, 268, 370, 19, 24899, 68, 481, 68, 4936, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 33750, 1452, 18944, 68, 6355, 68, 28425, 491, 368, 602, 204, 268, 370, 19, 1129, 68, 12768, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 5605, 68, 41121, 56, 491, 571, 602, 204, 268, 370, 19, 23923, 15828, 68, 644, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 41764, 53, 4403, 22017, 16860, 68, 4617, 491, 11070, 204, 204, 264, 436, 636, 68, 8946, 68, 7272, 13, 327, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 763, 275, 7450, 4997, 448, 273, 955, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 7450, 2442, 17, 2054, 17, 575, 17, 329, 1482, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 379, 2463, 597, 370, 19, 8946, 68, 2463, 17, 204, 305, 379, 898, 597, 370, 19, 8946, 68, 898, 17, 204, 305, 379, 816, 597, 370, 19, 8946, 68, 816, 17, 204, 305, 379, 1989, 597, 370, 19, 8946, 68, 1989, 204, 268, 1211, 204, 204, 264, 436, 636, 68, 24899, 68, 481, 68, 3282, 13, 327, 14, 393, 1061, 64, 325, 17, 421, 744, 204, 268, 320, 204, 268, 763, 275, 8916, 424, 2557, 448, 273, 955, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 8916, 424, 3054, 329, 846, 9429, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 379, 24899, 68, 481, 68, 4936, 597, 370, 19, 24899, 68, 481, 68, 4936, 17, 204, 305, 379, 1129, 68, 12768, 597, 370, 19, 1129, 68, 12768, 204, 268, 1211, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 954, 289, 6408, 374, 204, 264, 456, 13, 1087, 19, 505, 68, 8946, 68, 7272, 1447, 204, 264, 456, 13, 1087, 19, 505, 68, 24899, 68, 481, 68, 3282, 1447, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 1967, 68, 2856, 13, 204, 264, 1472, 68, 2387, 31, 394, 17, 716, 264, 1824, 68, 4745, 31, 394, 17, 716, 264, 1629, 68, 4745, 31, 394, 17, 716, 264, 846, 68, 1205, 31, 421, 289, 3861, 204, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 7483, 2828, 497, 275, 800, 1472, 1666, 1609, 523, 275, 1824, 329, 1629, 3758, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1472, 68, 2387, 322, 325, 330, 334, 1666, 302, 275, 1472, 311, 1967, 497, 19, 204, 264, 338, 1824, 68, 4745, 322, 325, 330, 334, 1824, 2679, 311, 2216, 19, 204, 264, 338, 1629, 68, 4745, 322, 325, 330, 334, 1629, 2679, 311, 2216, 19, 204, 264, 338, 846, 68, 1205, 322, 339, 330, 334, 1646, 1277, 302, 275, 4989, 726, 322, 2305, 353, 3861, 789, 204, 204, 264, 475, 31, 204, 264, 338, 783, 64, 325, 744, 332, 458, 302, 4989, 2828, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 4989, 2828, 204, 264, 4989, 68, 2856, 289, 1306, 204, 615, 264, 314, 977, 275, 1813, 1112, 311, 500, 204, 264, 1813, 68, 998, 289, 500, 204, 615, 264, 314, 11333, 14223, 3119, 275, 1136, 302, 275, 1472, 1666, 353, 7486, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 1752, 275, 1112, 302, 275, 1824, 2679, 292, 275, 1472, 1666, 204, 305, 1012, 68, 1735, 289, 1472, 68, 2387, 19, 998, 13, 1735, 68, 4745, 17, 1813, 68, 998, 14, 204, 3123, 305, 314, 888, 275, 1136, 1112, 302, 275, 1824, 2679, 204, 305, 1136, 68, 1735, 289, 1012, 68, 1735, 465, 1245, 13, 1735, 68, 4745, 14, 204, 3123, 305, 314, 1752, 275, 1112, 302, 275, 1629, 2679, 292, 275, 1472, 1666, 204, 305, 1136, 289, 1472, 68, 2387, 19, 998, 13, 1633, 68, 4745, 17, 1136, 68, 1735, 14, 204, 3123, 305, 314, 778, 397, 275, 1277, 302, 275, 4989, 726, 353, 2614, 275, 1646, 1277, 204, 305, 397, 1136, 338, 1136, 68, 1735, 2186, 846, 68, 1205, 31, 204, 485, 314, 1986, 275, 726, 329, 6283, 490, 311, 275, 458, 204, 485, 4989, 68, 2856, 19, 1223, 13, 2225, 68, 2387, 64, 409, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1735, 31, 409, 1664, 2892, 1447, 204, 3123, 305, 314, 1716, 275, 1813, 1112, 311, 3524, 14223, 497, 275, 1682, 1502, 204, 305, 1813, 68, 998, 289, 1012, 68, 1735, 465, 368, 204, 822, 268, 314, 1426, 275, 1322, 1330, 275, 2679, 353, 508, 1193, 292, 275, 1472, 1666, 204, 268, 827, 987, 31, 204, 305, 314, 2175, 521, 2906, 275, 908, 30512, 204, 305, 456, 499, 596, 31, 21753, 508, 1193, 292, 1472, 1666, 1280, 204, 305, 2280, 204, 615, 264, 314, 455, 275, 458, 302, 4989, 2828, 204, 264, 407, 458, 13, 574, 13, 25030, 68, 2856, 602, 204, 204, 204, 461, 2081, 68, 4918, 13, 204, 264, 3758, 31, 783, 64, 2983, 64, 325, 17, 394, 4395, 716, 264, 5885, 68, 3366, 31, 394, 17, 716, 264, 33738, 68, 553, 68, 3366, 31, 394, 17, 716, 264, 5221, 68, 932, 31, 394, 289, 388, 3170, 7, 204, 14, 393, 783, 64, 2983, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18403, 3758, 1609, 523, 1017, 9920, 292, 275, 800, 5885, 2852, 329, 33738, 510, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3758, 322, 1218, 64, 2983, 64, 325, 17, 394, 3795, 332, 458, 302, 3758, 311, 2081, 19, 204, 264, 338, 5885, 68, 3366, 322, 325, 330, 334, 2852, 302, 275, 5885, 311, 1813, 292, 19, 204, 264, 338, 33738, 68, 553, 68, 3366, 322, 325, 330, 334, 2852, 302, 275, 33738, 510, 19, 204, 264, 338, 5221, 68, 932, 322, 325, 330, 334, 1187, 302, 16445, 311, 3120, 322, 2305, 353, 388, 3170, 5561, 204, 204, 264, 475, 31, 204, 264, 338, 783, 64, 2983, 64, 325, 17, 394, 2440, 332, 458, 302, 4932, 3758, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 4932, 3758, 204, 264, 4932, 68, 4918, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 2679, 292, 275, 458, 302, 3758, 204, 264, 348, 2679, 292, 3758, 31, 204, 268, 1824, 68, 4745, 17, 1629, 68, 4745, 289, 2679, 204, 822, 268, 314, 763, 830, 6214, 6204, 275, 5885, 204, 268, 6214, 289, 636, 5797, 35854, 837, 2662, 43006, 13, 15697, 68, 3366, 14, 204, 822, 268, 314, 977, 273, 2279, 311, 3234, 275, 9920, 302, 275, 2679, 204, 268, 2679, 68, 2224, 289, 500, 204, 822, 268, 314, 1861, 1048, 848, 1472, 292, 275, 458, 302, 6214, 204, 268, 348, 1472, 292, 6214, 31, 204, 305, 314, 5128, 275, 4710, 1472, 2852, 204, 305, 4710, 68, 2225, 68, 3366, 289, 1472, 465, 6040, 2225, 19, 2079, 7, 204, 3123, 305, 314, 1606, 275, 1666, 302, 275, 33738, 510, 204, 305, 1666, 68, 655, 289, 1151, 2597, 8334, 837, 1218, 13, 2225, 465, 34635, 465, 33738, 68, 553, 68, 3366, 14, 204, 3123, 305, 314, 9828, 275, 1666, 458, 1025, 273, 2875, 782, 204, 305, 7905, 68, 2387, 289, 388, 5161, 1541, 13, 2387, 68, 655, 64, 21, 1664, 1590, 1447, 397, 1666, 68, 655, 902, 3026, 204, 3123, 305, 314, 1606, 275, 14824, 2966, 1472, 1666, 204, 305, 1472, 68, 2387, 289, 1151, 38768, 28274, 6188, 8334, 13, 22966, 68, 2225, 68, 3366, 14, 204, 3123, 305, 314, 3291, 16445, 311, 275, 1472, 1666, 397, 1713, 204, 305, 397, 5221, 68, 932, 564, 388, 5551, 559, 204, 485, 1472, 68, 2387, 289, 4066, 13648, 29168, 837, 8542, 13, 2225, 68, 2387, 14, 204, 3123, 305, 314, 1986, 2828, 497, 275, 1472, 1666, 974, 275, 2679, 204, 305, 1563, 289, 1967, 68, 2856, 13, 2225, 68, 2387, 17, 1824, 68, 4745, 17, 1629, 68, 4745, 14, 204, 3123, 305, 314, 778, 397, 275, 7905, 1666, 353, 3113, 292, 275, 4989, 2828, 204, 305, 397, 7905, 68, 2387, 292, 1563, 31, 204, 485, 314, 7415, 275, 2679, 2279, 204, 485, 2679, 68, 2224, 1412, 368, 204, 822, 268, 314, 778, 397, 275, 2679, 2279, 353, 3114, 1194, 500, 204, 268, 397, 2679, 68, 2224, 1323, 500, 31, 204, 305, 314, 5230, 275, 2679, 311, 275, 458, 302, 4932, 3758, 204, 305, 4932, 68, 4918, 19, 1223, 1802, 1735, 68, 4745, 17, 1629, 68, 4745, 602, 204, 615, 264, 314, 455, 275, 458, 302, 4932, 3758, 204, 264, 407, 4932, 68, 4918, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3758, 289, 28175, 4745, 22, 528, 388, 4745, 23, 3186, 4401, 4745, 24, 528, 388, 4745, 25, 14094, 204, 264, 5885, 68, 3366, 289, 388, 3189, 1963, 2569, 19, 1453, 7, 204, 264, 33738, 68, 553, 68, 3366, 289, 388, 36510, 68, 553, 19, 3039, 7, 204, 264, 5221, 68, 932, 289, 388, 5551, 7, 204, 615, 264, 4932, 68, 4918, 289, 2081, 68, 4918, 13, 4918, 17, 5885, 68, 3366, 17, 33738, 68, 553, 68, 3366, 17, 5221, 68, 932, 14, 204, 264, 456, 13, 10975, 68, 4918, 14, 204, 0, 461, 949, 68, 1129, 68, 1303, 13, 18467, 68, 3337, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1646, 1066, 496, 618, 444, 8744, 560, 9137, 7686, 1842, 292, 273, 458, 329, 7057, 275, 4876, 1103, 19, 204, 204, 264, 457, 31, 204, 268, 7686, 68, 3337, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1646, 1066, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 828, 275, 458, 869, 2202, 1194, 571, 1842, 17, 407, 500, 204, 264, 397, 1245, 13, 18467, 68, 3337, 14, 962, 571, 31, 204, 268, 407, 500, 204, 204, 264, 846, 68, 1303, 289, 818, 6905, 3643, 534, 226, 314, 977, 846, 68, 1303, 448, 2917, 9556, 204, 204, 264, 436, 9611, 68, 25965, 13, 3337, 31, 458, 64, 339, 648, 790, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18302, 741, 311, 949, 275, 1646, 1066, 19, 204, 204, 268, 457, 31, 204, 305, 1842, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 305, 790, 68, 1303, 322, 339, 330, 334, 790, 1066, 19, 204, 268, 320, 204, 268, 37023, 846, 68, 1303, 226, 314, 1974, 37023, 4541, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 9749, 846, 68, 1303, 204, 204, 268, 314, 3301, 1322, 31, 828, 275, 458, 869, 435, 1842, 17, 1395, 846, 68, 1303, 204, 268, 397, 1245, 13, 3337, 14, 564, 435, 31, 204, 305, 846, 68, 1303, 289, 846, 13, 1129, 68, 1303, 17, 790, 68, 1303, 465, 1842, 64, 21, 66, 540, 1842, 64, 22, 694, 204, 305, 407, 204, 822, 268, 314, 18302, 1322, 31, 6608, 7057, 848, 4876, 1103, 204, 268, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 3337, 14, 338, 368, 330, 204, 305, 314, 888, 717, 1066, 560, 9137, 7686, 1842, 329, 5209, 311, 790, 1066, 204, 305, 717, 68, 1303, 289, 790, 68, 1303, 465, 1842, 64, 78, 18, 22, 66, 540, 1842, 64, 78, 16, 22, 66, 204, 305, 314, 666, 273, 717, 458, 560, 7057, 275, 4876, 1103, 204, 305, 717, 68, 3337, 289, 1842, 2022, 78, 66, 465, 1842, 64, 78, 16, 22, 5853, 204, 305, 9611, 68, 25965, 13, 1957, 68, 3337, 17, 717, 68, 1303, 14, 204, 204, 264, 9611, 68, 25965, 13, 18467, 68, 3337, 17, 500, 14, 204, 264, 407, 846, 68, 1303, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 636, 575, 537, 329, 456, 275, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 268, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 822, 268, 314, 763, 275, 1842, 497, 275, 575, 204, 268, 1842, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 1842, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 822, 268, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 537, 204, 268, 397, 1245, 13, 3337, 14, 2167, 771, 68, 3337, 31, 204, 305, 980, 987, 499, 1962, 537, 431, 204, 822, 268, 314, 888, 329, 456, 275, 1646, 1066, 204, 268, 846, 68, 1303, 289, 949, 68, 1129, 68, 1303, 13, 3337, 14, 204, 268, 456, 499, 14020, 1066, 2180, 846, 68, 1303, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 499, 1962, 537, 2180, 394, 13, 74, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 25602, 302, 373, 3198, 1312, 447, 696, 1154, 6985, 1763, 204, 48, 1915, 4309, 1465, 1429, 373, 3198, 1312, 447, 26869, 6016, 329, 275, 8123, 497, 10033, 318, 11675, 2864, 2159, 17, 38247, 17, 4857, 5392, 17, 886, 17, 329, 10942, 6757, 329, 8277, 31, 2886, 22731, 13347, 560, 2631, 451, 523, 3511, 10033, 318, 11675, 3003, 302, 8822, 19, 12415, 9542, 3478, 368, 31, 373, 3198, 1312, 447, 44538, 329, 8749, 2248, 2459, 437, 1763, 302, 373, 3198, 1312, 447, 44538, 808, 2549, 444, 3870, 560, 22296, 13253, 275, 732, 302, 373, 3198, 1312, 447, 44538, 311, 2493, 3511, 329, 2566, 3595, 497, 2481, 311, 2481, 6965, 47757, 329, 19, 22406, 31, 5576, 302, 566, 17380, 24185, 696, 1154, 275, 5576, 302, 1605, 373, 3198, 1312, 447, 696, 1154, 6965, 311, 1425, 311, 444, 30340, 13670, 560, 1910, 1880, 42840, 14, 348, 1763, 17, 275, 4414, 302, 275, 6747, 2549, 1425, 8956, 275, 6733, 302, 379, 2124, 12, 521, 379, 3676, 19, 22406, 338, 5408, 20, 30382, 20365, 40757, 555, 1257, 329, 318, 11675, 373, 3198, 1312, 447, 696, 1154, 338, 622, 574, 530, 10581, 311, 13541, 1376, 8605, 17, 7001, 11513, 1583, 275, 6985, 5190, 6016, 302, 275, 3942, 292, 928, 970, 23553, 618, 874, 3557, 9901, 17, 1101, 29412, 521, 19, 11449, 869, 275, 13107, 302, 43222, 1282, 7546, 15193, 25338, 3522, 275, 20388, 333, 626, 6985, 43308, 6985, 3094, 1064, 5483, 2388, 6912, 1282, 6985, 523, 11458, 292, 16813, 20187, 22490, 15382, 7636, 286, 1321, 88, 781, 45005, 49136, 6985, 23470, 11925, 94, 4829, 13803, 427, 8546, 3232, 1722, 302, 373, 3198, 1312, 447, 696, 1154, 4695, 3511, 6985, 19, 27747, 318, 11675, 1516, 25721, 329, 8908, 3511, 6985, 456, 4398, 808, 275, 2363, 302, 309, 24929, 2151, 17, 5052, 3269, 2090, 373, 3198, 1312, 447, 696, 1154, 17, 275, 732, 302, 1573, 1044, 17, 11636, 17, 329, 3511, 6985, 4695, 3158, 15382, 1182, 3511, 15382, 3511, 42199, 6016, 12912, 292, 10772, 19, 204, 45, 3198, 1312, 447, 26869, 4695, 31, 348, 1763, 17, 275, 588, 373, 3198, 1312, 447, 696, 1154, 353, 4501, 1376, 311, 3440, 316, 275, 28802, 281, 292, 1071, 1347, 302, 275, 1418, 354, 25721, 329, 302, 275, 8043, 89, 3379, 1163, 5576, 497, 273, 2824, 26214, 24075, 329, 3667, 1425, 275, 4297, 302, 275, 33622, 1466, 25317, 17, 329, 17, 448, 273, 4090, 19, 1158, 20223, 7369, 311, 1340, 872, 311, 25158, 1475, 17, 1763, 1763, 302, 273, 3511, 3793, 4960, 15809, 4974, 3237, 2569, 6985, 311, 2281, 15382, 348, 5132, 17, 3511, 630, 3511, 872, 3126, 496, 292, 1214, 15809, 19, 27747, 318, 11675, 1516, 19283, 21631, 302, 318, 11675, 1516, 373, 3198, 1312, 447, 44538, 1710, 6711, 430, 275, 17338, 3556, 6016, 302, 4695, 292, 318, 11675, 874, 1742, 34040, 311, 571, 17, 6386, 23107, 275, 373, 3198, 1312, 447, 26869, 3467, 867, 1376, 14790, 348, 13846, 292, 1071, 1347, 523, 275, 12540, 302, 36825, 329, 27716, 88, 19, 1752, 685, 1182, 1465, 275, 3511, 302, 10033, 318, 11675, 17, 2864, 12989, 17, 9764, 7192, 17, 13253, 318, 11675, 529, 275, 1910, 40377, 17, 2828, 329, 24703, 496, 874, 1742, 21593, 497, 31718, 9400, 17, 9811, 440, 373, 3198, 1312, 447, 44538, 496, 874, 1698, 10547, 1742, 1710, 579, 28859, 19, 12415, 31, 3511, 302, 10033, 318, 11675, 1516, 4695, 322, 77, 3198, 1312, 447, 44538, 659, 273, 2648, 10459, 318, 11675, 5765, 368, 18, 29210, 18, 29, 5091, 18, 2300, 4553, 3269, 31, 18702, 10459, 318, 11675, 2941, 1051, 1763, 302, 275, 304, 6724, 292, 9161, 8306, 353, 273, 32496, 302, 5623, 278, 3832, 17, 20284, 270, 311, 275, 9911, 9866, 36935, 267, 2554, 312, 19, 204, 35985, 1026, 1741, 70, 329, 318, 11675, 1516, 1125, 793, 48419, 781, 2981, 853, 271, 292, 808, 6985, 17, 572, 10634, 3113, 5395, 6016, 302, 1142, 18, 43819, 329, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 322, 8878, 1841, 14, 31891, 88, 1283, 275, 10033, 1741, 70, 1561, 302, 479, 946, 18, 22794, 8495, 329, 275, 10033, 318, 11675, 1516, 3269, 19, 4014, 589, 24138, 3155, 589, 24138, 292, 9218, 1214, 2073, 7133, 444, 6430, 311, 3550, 808, 3888, 1120, 1340, 872, 2281, 275, 1085, 308, 6985, 292, 928, 872, 1120, 444, 9176, 311, 31, 1781, 31, 1605, 5594, 1466, 12527, 292, 373, 3198, 1312, 447, 696, 1154, 19, 27747, 318, 11675, 17, 373, 3198, 1312, 447, 696, 1154, 437, 11414, 302, 373, 3198, 1312, 447, 696, 1154, 373, 3198, 1312, 447, 44538, 17, 2724, 292, 1169, 1561, 302, 4695, 292, 928, 8822, 1173, 2828, 322, 17538, 448, 7807, 348, 1763, 17, 275, 373, 3198, 1312, 447, 26869, 4414, 302, 273, 3868, 302, 13624, 4230, 1173, 275, 16971, 6438, 19, 26104, 3511, 302, 373, 3198, 1312, 447, 696, 1154, 373, 3198, 1312, 447, 44538, 529, 10819, 497, 275, 357, 9606, 1142, 373, 3198, 1312, 447, 696, 3278, 865, 496, 3210, 23969, 26275, 322, 88, 2063, 1013, 15066, 14, 1163, 5576, 353, 497, 275, 10033, 318, 11675, 4825, 497, 275, 2181, 302, 3332, 18133, 13141, 311, 6562, 364, 322, 80, 555, 23166, 1433, 19, 26104, 373, 3198, 1312, 447, 44538, 322, 20, 348, 1763, 17, 8822, 523, 17289, 2513, 291, 5862, 17, 800, 275, 8608, 302, 3422, 6678, 17, 1236, 40687, 25524, 869, 1742, 2927, 448, 311, 275, 5576, 302, 373, 3198, 1312, 447, 696, 1154, 292, 10033, 318, 11675, 5976, 17, 490, 353, 19, 334, 4382, 13333, 348, 1763, 869, 1742, 3610, 440, 13333, 2347, 556, 2063, 7774, 288, 677, 38297, 440, 373, 3198, 1312, 447, 696, 1154, 523, 275, 622, 574, 530, 10581, 11771, 719, 717, 15520, 311, 3220, 329, 3126, 10033, 318, 11675, 2090, 6202, 318, 11675, 1516, 3511, 15382, 744, 31, 2989, 5994, 25172, 1164, 15338, 1511, 2159, 322, 38791, 6214, 19, 204, 25602, 302, 373, 3198, 1312, 447, 696, 1154, 6985, 1763, 204, 1560, 277, 275, 13708, 18, 21780, 375, 560, 622, 3539, 781, 23375, 275, 3243, 5084, 3192, 2077, 850, 7456, 657, 338, 16373, 329, 4249, 6999, 21769, 571, 338, 2247, 19, 204, 46191, 1260, 338, 4794, 1104, 302, 5926, 1672, 15382, 329, 3793, 13168, 523, 1763, 302, 2031, 2159, 302, 6985, 3220, 3607, 338, 29332, 329, 4476, 15382, 17, 3018, 1763, 302, 2667, 3511, 6985, 292, 808, 6985, 19, 334, 3511, 302, 4695, 21479, 275, 4383, 302, 26559, 3269, 560, 6072, 521, 904, 9035, 275, 17294, 1763, 353, 497, 1916, 9320, 17, 38403, 2181, 1877, 1017, 1043, 3754, 440, 275, 1729, 353, 3597, 302, 1429, 302, 275, 4744, 318, 11675, 1516, 373, 3198, 1312, 447, 696, 1154, 329, 275, 11342, 302, 10033, 38660, 4886, 19, 1346, 16894, 302, 10033, 318, 11675, 1516, 3511, 456, 4398, 808, 273, 671, 309, 351, 309, 351, 18, 28, 318, 11675, 1516, 8295, 22814, 496, 275, 4695, 302, 373, 3198, 1312, 447, 696, 1154, 5096, 311, 19424, 275, 6832, 302, 3511, 6985, 4695, 3158, 15382, 1182, 3511, 15382, 3511, 42199, 6016, 12912, 292, 10772, 572, 618, 19, 12955, 6985, 523, 10033, 3511, 302, 275, 373, 3198, 1312, 447, 696, 1154, 2755, 23919, 4476, 630, 318, 1118, 269, 1453, 17, 275, 4794, 4476, 6985, 5698, 19, 204, 45361, 516, 3018, 13168, 16894, 275, 5576, 302, 275, 13709, 3420, 5020, 302, 42537, 338, 3420, 5020, 302, 42537, 3793, 4960, 6924, 1405, 1025, 437, 1763, 302, 437, 1552, 8210, 523, 273, 275, 9046, 49136, 302, 273, 2016, 18319, 74, 3803, 281, 338, 18319, 74, 3803, 281, 3793, 13168, 5190, 275, 3511, 302, 275, 18319, 74, 3803, 281, 11575, 329, 1163, 19, 3594, 3243, 5084, 353, 437, 6985, 523, 4316, 302, 5576, 497, 10167, 15382, 17, 1214, 2139, 348, 3793, 13168, 17, 15382, 17, 329, 3018, 4960, 6016, 19, 26104, 373, 3198, 1312, 447, 26869, 8123, 24994, 2281, 1214, 588, 1422, 529, 1182, 1194, 32011, 373, 3198, 1312, 447, 26869, 32124, 2864, 20907, 318, 11675, 1516, 1142, 6016, 329, 1048, 34516, 373, 3198, 1312, 447, 44538, 497, 275, 8940, 15508, 458, 318, 11675, 1516, 373, 3198, 1312, 447, 696, 1154, 6019, 10660, 1483, 523, 275, 3511, 302, 318, 11675, 1516, 4695, 329, 19, 8385, 6985, 1672, 523, 10033, 3511, 302, 275, 373, 3198, 1312, 447, 696, 1154, 2363, 6985, 4695, 373, 3198, 1312, 447, 696, 1154, 318, 11675, 1516, 10033, 10581, 19, 0, 24749, 273, 2462, 20775, 204, 3882, 7597, 1662, 872, 6900, 311, 3594, 18, 7061, 18, 20962, 19, 1453, 17, 872, 1236, 18382, 6900, 292, 1813, 302, 273, 510, 5674, 521, 1483, 523, 273, 4153, 510, 5674, 19, 332, 510, 5674, 353, 7493, 275, 1673, 4542, 6072, 630, 275, 1136, 302, 273, 510, 588, 496, 1120, 3891, 1877, 275, 7844, 17, 521, 3155, 19, 1765, 273, 3060, 4802, 1763, 17, 273, 510, 496, 10428, 17, 4362, 2301, 2597, 19, 3228, 29074, 1784, 444, 273, 3243, 510, 19, 1058, 618, 444, 10994, 560, 7595, 1877, 275, 7844, 17, 521, 3155, 17, 630, 275, 4362, 3228, 884, 1085, 302, 275, 510, 588, 19, 204, 3070, 1182, 1483, 523, 275, 4109, 3003, 302, 510, 11904, 329, 311, 3020, 273, 458, 302, 275, 1910, 3003, 302, 510, 11904, 17, 9626, 6321, 2077, 510, 5674, 30333, 322, 2850, 14, 4446, 19, 828, 872, 529, 19683, 1483, 523, 5511, 46842, 2404, 872, 874, 437, 4466, 521, 2752, 510, 496, 1120, 508, 1370, 11050, 17, 9626, 6321, 2077, 30333, 322, 2850, 14, 4446, 18042, 311, 5511, 46842, 19, 204, 2920, 311, 1974, 3594, 18, 7061, 18, 20962, 19, 1453, 204, 10936, 18, 7061, 18, 20962, 19, 1453, 11138, 273, 12479, 1104, 302, 1483, 523, 273, 6592, 8372, 302, 510, 11904, 19, 592, 1552, 311, 732, 2077, 6171, 17, 872, 7493, 1519, 311, 2379, 275, 510, 5674, 496, 872, 3480, 1483, 523, 329, 1187, 496, 1025, 275, 1813, 2871, 523, 808, 1472, 19, 3665, 1120, 3480, 311, 1813, 560, 510, 5674, 6216, 1194, 560, 3099, 329, 444, 6430, 496, 872, 529, 1698, 14223, 348, 1051, 510, 5674, 630, 273, 690, 19, 204, 3719, 3594, 18, 7061, 18, 20962, 19, 1453, 869, 1483, 523, 496, 2824, 510, 5674, 17, 872, 1120, 444, 4768, 311, 273, 1563, 1472, 1273, 872, 618, 2013, 275, 1483, 630, 1214, 47489, 19, 828, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1236, 1483, 353, 2755, 17, 872, 1120, 444, 800, 273, 1977, 496, 1120, 3074, 872, 311, 273, 1792, 1472, 496, 1120, 6018, 872, 19340, 523, 1662, 872, 618, 7575, 5395, 3793, 523, 1214, 2824, 510, 5674, 19, 204, 3728, 311, 770, 397, 14165, 4128, 884, 89, 3594, 25865, 523, 8800, 6136, 204, 5842, 302, 275, 1901, 2323, 3490, 496, 572, 1340, 19508, 2616, 353, 14165, 508, 2545, 5096, 311, 1451, 4153, 3003, 302, 510, 11904, 19, 1058, 353, 3667, 437, 7249, 11564, 329, 7493, 16950, 275, 510, 5674, 497, 3594, 18, 7061, 18, 20962, 19, 1453, 884, 88, 1104, 329, 31875, 490, 1120, 770, 275, 17764, 19, 828, 5862, 17, 808, 1583, 508, 1225, 17, 490, 1741, 444, 3913, 311, 11008, 7034, 523, 1214, 1561, 19, 12338, 302, 808, 17, 572, 17828, 4894, 496, 872, 1523, 273, 4476, 8511, 322, 2850, 14, 523, 1214, 1561, 311, 3020, 397, 1422, 529, 1169, 11008, 3490, 496, 1519, 311, 444, 22062, 19, 0, 531, 4433, 532, 322, 204, 264, 2111, 68, 3143, 17, 204, 264, 1779, 68, 1538, 17, 204, 264, 9565, 17, 204, 264, 4123, 17, 204, 264, 824, 17, 204, 264, 14305, 17, 204, 264, 13732, 17, 204, 14, 204, 531, 4433, 68, 3424, 532, 790, 68, 816, 17, 2924, 68, 5593, 204, 531, 4978, 532, 1863, 204, 531, 4978, 19, 1618, 532, 2221, 17, 21166, 204, 531, 4978, 19, 8754, 19, 6041, 532, 21166, 2954, 204, 204, 8, 666, 273, 14305, 348, 6886, 4978, 7215, 204, 8754, 289, 14305, 611, 8754, 491, 589, 417, 4422, 204, 204, 461, 838, 68, 9130, 68, 2288, 13, 654, 31, 21166, 2954, 14, 393, 21166, 31, 204, 264, 320, 204, 264, 666, 273, 717, 4978, 1722, 497, 275, 800, 798, 424, 19, 204, 204, 264, 457, 31, 204, 268, 798, 322, 41926, 2954, 330, 334, 798, 424, 348, 275, 717, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 21166, 31, 334, 9932, 1966, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4978, 1722, 440, 275, 800, 798, 424, 204, 264, 1722, 289, 21166, 13, 1778, 34, 654, 19, 1778, 19, 481, 17, 1068, 34, 654, 19, 492, 19, 481, 17, 575, 68, 359, 34, 1976, 68, 816, 19, 359, 14, 204, 264, 407, 1722, 204, 204, 461, 1395, 68, 9130, 68, 2288, 13, 2288, 31, 21166, 17, 798, 31, 21166, 2954, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 275, 800, 4978, 1722, 440, 275, 717, 424, 497, 275, 798, 19, 204, 204, 264, 457, 31, 204, 268, 1722, 322, 41926, 330, 334, 4978, 1722, 311, 444, 2908, 19, 204, 268, 798, 322, 41926, 2954, 330, 334, 798, 424, 348, 275, 2908, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 1716, 275, 4978, 1722, 440, 275, 717, 798, 424, 204, 264, 1722, 19, 1778, 289, 798, 19, 1778, 19, 481, 204, 264, 1722, 19, 492, 289, 798, 19, 492, 19, 481, 204, 204, 461, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 31, 421, 14, 393, 21166, 31, 204, 264, 320, 204, 264, 763, 273, 4978, 1722, 560, 1222, 521, 407, 273, 9485, 908, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 21166, 31, 334, 4978, 1722, 440, 275, 800, 1222, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 521, 407, 273, 9485, 908, 204, 264, 407, 21166, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 204, 461, 1356, 68, 2288, 68, 47938, 13, 2288, 31, 21166, 14, 393, 443, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1722, 322, 41926, 330, 334, 4978, 1722, 311, 444, 13860, 19, 204, 204, 264, 1632, 31, 204, 268, 28587, 31, 828, 275, 790, 575, 353, 508, 275, 2799, 302, 275, 1722, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 397, 1722, 19, 4020, 2167, 790, 68, 816, 31, 204, 268, 13732, 13, 28109, 14, 204, 204, 37, 8754, 19, 3955, 4195, 1510, 491, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 838, 68, 2288, 374, 393, 394, 31, 204, 264, 320, 204, 264, 666, 273, 717, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 4141, 273, 717, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 798, 348, 4141, 273, 4978, 1722, 204, 264, 798, 289, 21166, 2954, 374, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 4978, 1722, 497, 275, 798, 424, 204, 305, 1722, 289, 838, 68, 9130, 68, 2288, 13, 654, 14, 204, 305, 314, 1255, 275, 717, 4978, 1722, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 826, 13, 2288, 14, 204, 305, 314, 8588, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 314, 23469, 273, 1978, 943, 204, 305, 9565, 611, 19848, 1722, 1966, 5901, 204, 305, 314, 10693, 311, 275, 1112, 1472, 204, 305, 407, 4123, 13, 805, 68, 1538, 611, 1234, 19, 998, 3063, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 32166, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 19398, 374, 204, 305, 314, 23469, 437, 908, 943, 204, 305, 9565, 611, 596, 4141, 4978, 1722, 5901, 204, 305, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 305, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 798, 34, 654, 14, 204, 264, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 264, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 798, 34, 654, 14, 204, 204, 37, 8754, 19, 3955, 47804, 339, 31, 359, 16906, 204, 461, 2013, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3740, 273, 4978, 1722, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 24755, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 4784, 275, 1722, 2399, 440, 275, 4978, 1722, 204, 264, 407, 2111, 68, 3143, 611, 2288, 19, 2079, 491, 1722, 34, 2288, 14, 204, 204, 37, 8754, 19, 3955, 4195, 7451, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 6448, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 1716, 273, 4978, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 16958, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 1356, 68, 2288, 68, 47938, 13, 2288, 14, 204, 264, 314, 666, 273, 717, 798, 348, 16958, 273, 4978, 1722, 204, 264, 798, 289, 21166, 2954, 374, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 810, 31, 204, 305, 314, 1716, 275, 4978, 1722, 440, 275, 717, 798, 424, 204, 305, 1395, 68, 9130, 68, 2288, 13, 2288, 17, 798, 14, 204, 305, 314, 8588, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 314, 23469, 273, 1978, 943, 204, 305, 9565, 611, 19848, 1722, 19545, 5901, 204, 305, 314, 10693, 311, 275, 1722, 1472, 204, 305, 407, 4123, 13, 805, 68, 1538, 611, 8754, 19, 1529, 68, 2288, 491, 1276, 34, 2288, 19, 359, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 32166, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 19398, 374, 204, 305, 314, 23469, 437, 908, 943, 204, 305, 9565, 611, 596, 16958, 4978, 1722, 5901, 204, 305, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 305, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 1724, 833, 7202, 9212, 1214, 1722, 491, 798, 34, 654, 14, 204, 264, 1677, 824, 19, 1939, 564, 379, 5016, 597, 204, 268, 314, 17207, 275, 798, 440, 275, 4978, 1722, 424, 204, 268, 798, 19, 1778, 19, 481, 289, 1722, 19, 1778, 204, 268, 798, 19, 492, 19, 481, 289, 1722, 19, 492, 204, 264, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 264, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 1724, 833, 7202, 9212, 1214, 1722, 491, 798, 34, 654, 14, 204, 204, 37, 8754, 19, 3955, 4195, 2756, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 4032, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6117, 273, 4978, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 12629, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 1356, 68, 2288, 68, 47938, 13, 2288, 14, 204, 264, 810, 31, 204, 268, 314, 6117, 275, 4978, 1722, 497, 275, 1104, 204, 268, 1863, 19, 2488, 19, 2756, 13, 2288, 14, 204, 268, 314, 8588, 275, 3731, 311, 275, 1104, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 268, 314, 23469, 273, 1978, 943, 204, 268, 9565, 611, 7164, 869, 1742, 8143, 5901, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 32166, 275, 3731, 311, 275, 1104, 204, 268, 1863, 19, 2488, 19, 19398, 374, 204, 268, 314, 23469, 437, 908, 943, 204, 268, 9565, 611, 596, 12629, 1722, 5901, 204, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 13, 805, 68, 1538, 611, 1234, 19, 998, 3063, 204, 0, 1449, 3204, 275, 1561, 387, 23, 1025, 275, 1561, 387, 22, 17, 572, 1519, 311, 1020, 275, 6220, 1525, 313, 19, 716, 204, 4377, 496, 1561, 387, 22, 353, 292, 8166, 798, 17, 275, 1525, 332, 1856, 2909, 2090, 808, 31, 226, 204, 38, 289, 1743, 6411, 96, 14615, 98, 273, 2343, 500, 6997, 21, 2343, 303, 688, 409, 96, 14615, 1617, 204, 204, 2310, 529, 1425, 800, 275, 1561, 387, 23, 31, 204, 4292, 1209, 96, 24612, 1134, 5144, 98, 289, 688, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 98, 95, 465, 688, 6411, 96, 14615, 98, 500, 6997, 22, 688, 409, 96, 14615, 98, 90, 9, 204, 9, 94, 289, 688, 6411, 96, 14615, 98, 368, 2343, 18, 22, 688, 409, 96, 14615, 98, 95, 9, 204, 204, 673, 6220, 1525, 313, 618, 444, 11352, 497, 275, 17893, 302, 1743, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 4742, 716, 204, 673, 14424, 302, 1743, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 1617, 529, 500, 329, 338, 24, 19, 716, 204, 673, 17893, 529, 31, 204, 9, 85, 68, 22, 289, 688, 6411, 96, 14615, 98, 338, 23, 6997, 368, 688, 409, 96, 14615, 1617, 329, 686, 85, 68, 23, 289, 688, 6411, 96, 14615, 98, 368, 6997, 368, 688, 409, 96, 14615, 1617, 204, 204, 673, 6220, 1525, 313, 353, 31, 204, 9, 57, 289, 688, 6411, 96, 14615, 98, 338, 23, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 4092, 68, 481, 322, 873, 330, 332, 955, 1174, 275, 4092, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 332, 955, 1174, 275, 2648, 19, 204, 264, 320, 204, 264, 2648, 289, 463, 204, 268, 388, 6782, 68, 359, 559, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 876, 3603, 6782, 68, 359, 4513, 204, 264, 1211, 204, 264, 397, 4092, 68, 359, 292, 4092, 68, 481, 31, 204, 268, 397, 388, 12477, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 12477, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 3881, 68, 655, 34, 2987, 19, 1219, 19, 33454, 1218, 13, 204, 485, 700, 34, 655, 13, 1608, 13, 3605, 610, 31, 610, 19, 4170, 499, 3102, 18, 29, 3186, 4092, 68, 481, 64, 6782, 68, 359, 10017, 12477, 1339, 18742, 204, 268, 397, 388, 12521, 14333, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 12521, 14333, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 204, 485, 700, 3603, 6782, 68, 481, 64, 6782, 68, 359, 10017, 12521, 14333, 1339, 4513, 204, 268, 397, 388, 7983, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 7983, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 3881, 68, 655, 34, 2987, 19, 1219, 19, 33454, 1218, 13, 204, 485, 700, 34, 655, 13, 1608, 13, 3605, 610, 31, 610, 19, 4170, 499, 3102, 18, 29, 3186, 4092, 68, 481, 64, 6782, 68, 359, 10017, 7983, 1339, 18742, 204, 264, 407, 2648, 204, 204, 461, 1900, 68, 1219, 68, 481, 13, 1420, 68, 553, 31, 394, 17, 2158, 68, 835, 31, 421, 17, 771, 68, 38777, 31, 421, 17, 7778, 68, 1205, 31, 421, 17, 407, 68, 2394, 31, 818, 17, 292, 607, 68, 2394, 31, 818, 17, 6374, 68, 1129, 68, 16427, 68, 4397, 31, 421, 17, 353, 68, 3412, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2069, 275, 1737, 424, 329, 2106, 490, 311, 275, 800, 919, 510, 19, 204, 204, 264, 457, 31, 204, 264, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 2158, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2158, 19, 204, 264, 771, 68, 38777, 322, 339, 330, 334, 542, 302, 20886, 311, 2811, 19, 204, 264, 7778, 68, 1205, 322, 339, 330, 334, 1277, 302, 848, 7778, 19, 204, 264, 407, 68, 2394, 322, 996, 330, 334, 407, 3918, 19, 204, 264, 292, 607, 68, 2394, 322, 996, 330, 334, 292, 18, 607, 3918, 19, 204, 264, 6374, 68, 1129, 68, 16427, 68, 4397, 322, 339, 330, 334, 1646, 10602, 292, 3331, 1283, 970, 10161, 19, 204, 264, 353, 68, 3412, 322, 2107, 330, 2266, 275, 1582, 353, 13090, 521, 508, 19, 204, 264, 320, 204, 264, 1400, 68, 38777, 289, 944, 23, 5968, 13, 920, 68, 38777, 17, 7778, 68, 1205, 17, 407, 68, 2394, 17, 292, 607, 68, 2394, 17, 6374, 68, 1129, 68, 16427, 68, 4397, 17, 353, 68, 3412, 14, 204, 264, 4092, 68, 481, 289, 1137, 68, 6782, 68, 481, 374, 204, 264, 5594, 289, 1306, 204, 264, 348, 7778, 292, 1400, 68, 38777, 31, 204, 268, 348, 296, 292, 933, 13, 2997, 68, 835, 17, 1245, 13, 11105, 14, 338, 2158, 68, 835, 330, 204, 305, 7343, 289, 1306, 204, 305, 348, 781, 292, 933, 13, 2997, 68, 835, 330, 204, 485, 397, 296, 338, 781, 338, 368, 3721, 500, 31, 204, 895, 7343, 19, 1223, 13, 11105, 64, 78, 338, 781, 338, 368, 694, 204, 485, 397, 296, 465, 781, 465, 368, 962, 1245, 13, 11105, 330, 204, 895, 7343, 19, 1223, 13, 11105, 64, 78, 465, 781, 465, 368, 694, 204, 305, 2648, 289, 838, 68, 3995, 13, 11105, 64, 78, 648, 4092, 68, 481, 14, 204, 305, 348, 6199, 292, 7343, 31, 204, 485, 2648, 1166, 2170, 68, 6782, 68, 359, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 876, 3603, 9431, 4513, 204, 485, 1763, 289, 1774, 19, 1219, 19, 5063, 13, 2226, 34, 2987, 19, 1219, 19, 19401, 13, 3995, 34, 3995, 8093, 4693, 504, 1449, 4269, 374, 204, 485, 5594, 19, 1223, 13, 2569, 14, 204, 264, 1400, 19, 12446, 13, 7485, 14, 204, 264, 440, 1774, 19, 936, 19, 11909, 8630, 10841, 13, 1420, 68, 553, 14, 448, 283, 31, 204, 268, 348, 2493, 292, 5594, 31, 204, 305, 283, 19, 2206, 13, 3689, 14, 204, 204, 461, 537, 68, 6696, 13, 2884, 68, 835, 31, 421, 17, 8062, 68, 6437, 68, 835, 31, 421, 289, 443, 14, 393, 1774, 19, 481, 19, 5030, 31, 204, 264, 320, 204, 264, 666, 437, 537, 741, 348, 275, 1737, 424, 19, 204, 204, 264, 457, 31, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 19, 204, 264, 8062, 68, 6437, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 8062, 5668, 19, 204, 204, 264, 475, 31, 204, 264, 1774, 19, 481, 19, 5030, 31, 332, 1485, 1174, 275, 1737, 424, 19, 204, 264, 320, 204, 264, 1763, 68, 6069, 289, 463, 204, 268, 388, 2170, 68, 6782, 68, 359, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 6782, 68, 359, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 12477, 559, 1774, 19, 936, 19, 55, 616, 2669, 11896, 13, 8863, 34, 2987, 19, 1031, 17, 1237, 68, 19705, 68, 8863, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 12521, 14333, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 17, 1540, 68, 876, 34, 21, 659, 204, 268, 388, 7983, 559, 1774, 19, 936, 19, 55, 616, 2669, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 370, 19, 1510, 68, 779, 68, 16881, 68, 12766, 374, 204, 268, 370, 19, 1510, 68, 23563, 68, 4723, 68, 1676, 374, 204, 268, 370, 19, 1510, 68, 7655, 68, 4723, 68, 1676, 374, 204, 204, 264, 436, 838, 68, 779, 68, 16881, 68, 12766, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 16385, 329, 28922, 8982, 19, 204, 268, 320, 204, 268, 314, 666, 275, 2963, 2871, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 289, 6349, 19, 29526, 6059, 6754, 13, 327, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 19064, 13, 13113, 19, 21146, 13, 39517, 17, 48662, 17, 42440, 17, 4236, 602, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 574, 44492, 13, 13113, 19, 5171, 19, 26706, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 574, 15151, 6059, 88, 13, 11540, 19, 29526, 6059, 6754, 19, 29843, 1152, 6349, 19, 29526, 6059, 6754, 19, 29991, 14, 204, 204, 268, 314, 6370, 275, 8982, 311, 1017, 12428, 19071, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 28499, 19, 2933, 13, 327, 19, 11130, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 272, 29498, 19, 2933, 13, 327, 19, 41659, 14, 204, 204, 264, 436, 838, 68, 23563, 68, 4723, 68, 1676, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 14477, 2556, 1800, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1800, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 289, 6349, 19, 18708, 13, 327, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 19064, 13, 13113, 19, 21146, 13, 11425, 17, 2468, 17, 720, 5639, 17, 13316, 602, 204, 204, 268, 314, 1359, 275, 1800, 677, 4514, 329, 1068, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 1671, 19021, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 4635, 14, 204, 268, 4514, 19, 574, 15045, 1054, 13, 1021, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 33425, 13, 6823, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 14802, 499, 3044, 3704, 15210, 9376, 431, 204, 204, 264, 436, 838, 68, 7655, 68, 4723, 68, 1676, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 4497, 2556, 1800, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1800, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 289, 6349, 19, 18708, 13, 327, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 19064, 13, 13113, 19, 21146, 13, 24179, 17, 12602, 17, 681, 7879, 17, 4662, 22, 602, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 10173, 30243, 28897, 13, 1975, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 1126, 18660, 13, 11540, 19, 43440, 19, 56, 605, 1153, 20305, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 1126, 4872, 12004, 13, 11540, 19, 43440, 19, 32570, 1226, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 36209, 9576, 20445, 13, 1641, 14, 204, 204, 268, 314, 1385, 275, 284, 21470, 204, 268, 810, 31, 204, 305, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 35394, 13, 19254, 19, 27084, 21470, 499, 44, 15459, 39, 19, 12814, 6761, 20, 23563, 4723, 19, 4955, 3687, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4644, 284, 21470, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 19242, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 532, 2454, 204, 264, 740, 289, 6349, 19, 20909, 13, 4807, 19, 4983, 14, 204, 264, 8320, 289, 43337, 11443, 12987, 374, 204, 264, 8320, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 2606, 19, 14213, 532, 10270, 68, 81, 22, 68, 2650, 204, 647, 2010, 448, 645, 204, 531, 1498, 532, 783, 204, 204, 676, 17646, 2703, 892, 1240, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 17646, 1301, 18, 16329, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 300, 68, 3616, 322, 339, 330, 334, 542, 302, 5107, 19, 204, 268, 9077, 322, 996, 330, 334, 6778, 2479, 19, 204, 268, 7170, 322, 996, 330, 334, 8470, 700, 19, 204, 268, 2044, 22, 322, 2606, 19, 6769, 23, 73, 330, 334, 1043, 7752, 2522, 19, 204, 268, 2044, 23, 322, 2606, 19, 6769, 23, 73, 330, 334, 1350, 7752, 2522, 19, 204, 268, 2044, 24, 322, 2606, 19, 6769, 23, 73, 330, 334, 4986, 7752, 2522, 19, 204, 268, 11482, 322, 2606, 19, 6446, 330, 334, 11482, 2522, 19, 204, 268, 5107, 322, 2606, 19, 6446, 330, 334, 5107, 2522, 19, 204, 268, 4209, 322, 4647, 19, 37633, 13286, 330, 334, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 300, 68, 3616, 31, 421, 17, 9077, 31, 818, 289, 500, 19, 22, 17, 7170, 31, 818, 289, 500, 19, 22, 330, 204, 268, 320, 204, 268, 977, 275, 17646, 1301, 18, 16329, 570, 19, 204, 204, 268, 457, 31, 204, 305, 300, 68, 3616, 322, 339, 330, 334, 542, 302, 5107, 19, 204, 305, 9077, 322, 996, 17, 1448, 330, 334, 6778, 2479, 19, 1243, 311, 500, 19, 22, 19, 204, 305, 7170, 322, 996, 17, 1448, 330, 334, 8470, 700, 19, 1243, 311, 500, 19, 22, 19, 204, 268, 320, 204, 268, 2234, 13, 30502, 2703, 892, 1240, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 83, 68, 3616, 289, 300, 68, 3616, 204, 268, 370, 19, 9655, 289, 9077, 204, 268, 370, 19, 7592, 289, 7170, 204, 268, 370, 19, 4869, 22, 289, 2839, 19, 6769, 23, 73, 13, 25, 17, 4236, 17, 3696, 68, 835, 34, 29, 17, 8096, 34, 25, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14, 204, 268, 370, 19, 4869, 23, 289, 2839, 19, 6769, 23, 73, 13, 2177, 17, 5737, 17, 3696, 68, 835, 34, 25, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 4869, 24, 289, 2839, 19, 6769, 23, 73, 13, 2562, 17, 5737, 17, 3696, 68, 835, 34, 24, 17, 8096, 34, 22, 14, 204, 268, 370, 19, 13747, 289, 2839, 19, 6446, 13, 28, 540, 1168, 540, 5737, 17, 12251, 14, 204, 268, 370, 19, 3616, 289, 2839, 19, 6446, 13, 12969, 17, 300, 68, 3616, 14, 204, 268, 370, 19, 7560, 289, 2976, 19, 37633, 13286, 13, 327, 19, 3465, 2144, 10264, 34, 21, 19, 7585, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 1259, 31, 1437, 19, 1556, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 9711, 1879, 19, 204, 204, 268, 457, 31, 204, 305, 1259, 322, 3109, 19, 1556, 330, 334, 537, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 334, 919, 19, 204, 268, 320, 204, 268, 314, 17816, 4131, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 22, 13, 1512, 602, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 23, 13, 93, 602, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 24, 13, 93, 602, 204, 822, 268, 314, 15822, 275, 919, 204, 268, 610, 289, 610, 19, 1529, 13, 93, 19, 1827, 64, 21, 648, 338, 22, 14, 204, 822, 268, 314, 12628, 4131, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 13747, 13, 93, 602, 204, 268, 610, 289, 370, 19, 3616, 13, 93, 14, 204, 268, 407, 610, 204, 204, 264, 436, 636, 68, 6222, 68, 1744, 13, 327, 17, 1259, 31, 1437, 19, 1556, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 2765, 2086, 19, 204, 204, 268, 457, 31, 204, 305, 1259, 322, 3109, 19, 1556, 330, 334, 537, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 2765, 2086, 19, 204, 268, 320, 204, 268, 3259, 68, 1309, 289, 370, 19, 6904, 13, 1512, 14, 204, 268, 407, 1437, 19, 11300, 13, 86, 68, 1309, 789, 1271, 374, 204, 204, 264, 436, 4309, 13, 327, 17, 16643, 31, 783, 14, 393, 443, 31, 204, 268, 320, 204, 268, 17450, 497, 275, 16643, 19, 204, 204, 268, 457, 31, 204, 305, 16643, 322, 1218, 330, 334, 16643, 19, 204, 268, 320, 204, 268, 348, 7978, 292, 16643, 31, 204, 305, 370, 19, 3838, 68, 389, 13, 14619, 14, 204, 204, 264, 436, 4309, 68, 389, 13, 327, 17, 7978, 14, 393, 443, 31, 204, 268, 320, 204, 268, 17450, 497, 273, 2875, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7978, 31, 334, 7978, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1259, 17, 2086, 17, 1682, 68, 1512, 17, 5877, 289, 7978, 204, 305, 3259, 68, 1512, 289, 370, 19, 6904, 13, 1512, 14, 204, 305, 3259, 68, 2715, 68, 1512, 289, 370, 19, 6904, 13, 2715, 68, 1512, 789, 18861, 374, 204, 305, 1812, 68, 86, 289, 5877, 465, 370, 19, 9655, 540, 1437, 19, 1129, 13, 86, 68, 2715, 68, 1512, 14, 204, 305, 2210, 289, 10270, 68, 81, 22, 68, 2650, 13, 86, 68, 1512, 17, 1812, 68, 86, 14, 204, 305, 370, 19, 7560, 19, 5306, 68, 6164, 374, 204, 305, 2210, 19, 12242, 374, 204, 305, 370, 19, 7560, 19, 2290, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 3129, 1882, 3100, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 977, 275, 570, 204, 264, 570, 289, 17646, 2703, 892, 1240, 13, 83, 68, 3616, 34, 1003, 14, 204, 204, 264, 314, 666, 1429, 11330, 16643, 204, 264, 16643, 289, 551, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 500, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 435, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 264, 2437, 204, 204, 264, 314, 17450, 497, 275, 16643, 204, 264, 570, 19, 3838, 13, 25439, 14, 204, 204, 264, 314, 763, 275, 2765, 2086, 204, 264, 1259, 289, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 14, 204, 264, 2765, 68, 1744, 289, 570, 19, 505, 68, 6222, 68, 1744, 13, 1512, 14, 204, 264, 456, 13, 75, 7, 19127, 2086, 31, 463, 6222, 68, 1744, 743, 204, 0, 531, 3022, 68, 7522, 532, 10686, 204, 531, 1498, 532, 1061, 17, 783, 204, 531, 1804, 532, 1804, 204, 204, 676, 17188, 24014, 5449, 13, 12873, 19, 5449, 330, 204, 264, 320, 204, 264, 18078, 348, 4801, 10482, 19, 204, 204, 264, 1532, 31, 204, 268, 1012, 68, 834, 322, 2664, 330, 334, 1012, 690, 302, 275, 4801, 3155, 19, 204, 268, 1136, 68, 834, 322, 2664, 330, 334, 1136, 690, 302, 275, 4801, 3155, 19, 204, 264, 320, 204, 264, 1012, 68, 834, 289, 10686, 19, 6602, 13, 2478, 28297, 73, 1564, 71, 1564, 62, 1564, 46, 6212, 50, 1564, 85, 534, 204, 264, 1136, 68, 834, 289, 10686, 19, 6602, 13, 2478, 28297, 73, 1564, 71, 1564, 62, 1564, 46, 6212, 50, 1564, 85, 534, 204, 204, 204, 676, 35541, 13, 12873, 19, 5449, 330, 204, 264, 320, 204, 264, 18078, 348, 3612, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 325, 330, 334, 2220, 1222, 302, 275, 575, 19, 204, 268, 2318, 68, 417, 322, 325, 330, 334, 2318, 588, 302, 275, 575, 19, 204, 268, 25559, 322, 325, 330, 334, 8486, 302, 275, 575, 19, 204, 268, 4801, 68, 22619, 322, 1218, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 64, 1665, 1037, 332, 458, 302, 4801, 10482, 348, 275, 575, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 16158, 13, 327, 17, 575, 68, 1648, 31, 726, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 475, 273, 955, 2355, 302, 275, 575, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 1648, 322, 1386, 330, 334, 575, 1014, 311, 444, 11948, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 332, 955, 1174, 575, 3695, 329, 4801, 10482, 19, 204, 204, 268, 1632, 31, 204, 305, 10686, 19, 14910, 31, 828, 437, 908, 3459, 1882, 19546, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 575, 3695, 497, 275, 575, 1014, 204, 305, 575, 68, 4810, 289, 463, 204, 485, 379, 359, 597, 575, 68, 1648, 19, 5271, 68, 359, 17, 204, 485, 379, 6763, 68, 417, 597, 575, 68, 1648, 19, 505, 68, 5022, 68, 417, 2144, 204, 485, 379, 11344, 597, 575, 68, 1648, 19, 11674, 17, 204, 305, 1211, 204, 204, 305, 314, 763, 4801, 10482, 348, 275, 575, 204, 305, 4801, 68, 22619, 289, 370, 19, 505, 68, 9360, 68, 22619, 13, 816, 68, 1648, 14, 204, 204, 305, 314, 9587, 575, 3695, 329, 4801, 10482, 204, 305, 407, 35723, 816, 68, 4810, 17, 379, 9360, 68, 22619, 597, 4801, 68, 22619, 98, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 19546, 2744, 204, 305, 980, 10686, 19, 14910, 13, 325, 13, 74, 602, 204, 204, 264, 436, 636, 68, 9360, 68, 22619, 13, 327, 17, 575, 68, 1648, 31, 726, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 475, 273, 458, 302, 4801, 10482, 348, 275, 800, 575, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 1648, 322, 1386, 330, 334, 575, 1014, 348, 928, 4801, 10482, 529, 311, 444, 8781, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 1665, 744, 332, 458, 302, 5239, 1174, 4801, 3155, 3695, 19, 204, 204, 268, 1632, 31, 204, 305, 10686, 19, 14910, 31, 828, 437, 908, 3459, 1330, 9933, 4801, 10482, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 4491, 4801, 10482, 348, 275, 575, 204, 305, 4801, 68, 22619, 289, 575, 68, 1648, 19, 9360, 68, 22619, 19, 668, 374, 204, 204, 305, 314, 16454, 4801, 10482, 204, 305, 407, 17188, 24014, 5449, 13, 9360, 68, 22619, 17, 1910, 34, 1021, 789, 481, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 2744, 1330, 9933, 4801, 10482, 204, 305, 980, 10686, 19, 14910, 13, 325, 13, 74, 602, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 2221, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2220, 68, 359, 31, 394, 17, 3101, 68, 417, 31, 394, 17, 8486, 31, 394, 330, 204, 268, 370, 19, 5271, 68, 359, 289, 2220, 68, 359, 204, 268, 370, 19, 5022, 68, 417, 289, 3101, 68, 417, 204, 268, 370, 19, 11674, 289, 8486, 204, 268, 370, 19, 9360, 68, 22619, 289, 1306, 204, 204, 264, 436, 636, 68, 5022, 68, 417, 13, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 5022, 68, 417, 204, 204, 264, 436, 881, 68, 9360, 68, 6956, 13, 327, 17, 1012, 68, 834, 31, 1804, 17, 1136, 68, 834, 31, 1804, 330, 204, 268, 370, 19, 9360, 68, 22619, 19, 1223, 6758, 1530, 68, 834, 597, 1012, 68, 834, 17, 379, 409, 68, 834, 597, 1136, 68, 834, 1937, 204, 204, 264, 436, 830, 13, 327, 330, 204, 268, 407, 370, 19, 9360, 68, 22619, 204, 204, 204, 8, 666, 273, 575, 1014, 204, 816, 289, 2221, 611, 58, 4326, 491, 379, 6192, 7358, 491, 379, 38909, 20, 6001, 68, 62, 745, 534, 204, 816, 19, 826, 68, 9360, 68, 6956, 13, 2664, 13, 8409, 17, 368, 17, 368, 17, 1233, 17, 500, 17, 500, 659, 1804, 13, 8409, 17, 368, 17, 368, 17, 3139, 17, 500, 17, 500, 602, 204, 816, 19, 826, 68, 9360, 68, 6956, 13, 2664, 13, 8409, 17, 368, 17, 435, 17, 1233, 17, 500, 17, 500, 659, 1804, 13, 8409, 17, 368, 17, 435, 17, 3139, 17, 500, 17, 500, 602, 204, 204, 8, 16454, 275, 575, 1014, 204, 9692, 289, 35541, 374, 204, 15148, 68, 816, 289, 6317, 19, 633, 68, 16158, 13, 816, 14, 204, 204, 8, 1198, 275, 11948, 575, 204, 2102, 13, 15148, 68, 816, 14, 204, 0, 673, 2631, 1763, 867, 1966, 560, 6432, 6699, 4125, 302, 2238, 497, 25392, 25376, 17, 16782, 848, 3868, 292, 4315, 17, 329, 16780, 275, 1043, 4315, 302, 275, 1043, 1007, 440, 275, 1350, 4315, 302, 275, 1350, 322, 416, 18977, 23983, 789, 3242, 17668, 560, 275, 12301, 677, 1724, 17, 275, 1136, 1142, 302, 848, 1007, 353, 388, 25007, 3343, 346, 24239, 618, 444, 1193, 5084, 19, 204, 990, 38, 46440, 1933, 302, 2135, 402, 1001, 204, 2310, 874, 317, 9614, 336, 292, 275, 37243, 18, 1795, 7014, 8469, 17, 204, 673, 7921, 18, 5705, 24589, 42397, 302, 275, 8469, 17, 204, 3609, 1064, 329, 444, 812, 329, 560, 275, 11660, 8469, 19, 204, 32790, 275, 21518, 17, 7625, 329, 3585, 329, 8469, 17, 204, 11189, 297, 651, 10701, 275, 18348, 302, 275, 8469, 19, 204, 23158, 15558, 302, 1158, 356, 354, 17, 41382, 302, 275, 8469, 17, 204, 3609, 8546, 17, 440, 1236, 1439, 17, 397, 275, 283, 494, 267, 1240, 8469, 204, 60, 1239, 273, 35099, 32, 329, 302, 275, 14067, 8469, 17, 204, 7002, 12365, 868, 29668, 88, 302, 2077, 15028, 32415, 17, 204, 13203, 874, 275, 283, 1268, 8078, 24480, 336, 440, 10865, 8469, 19, 204, 10492, 812, 1475, 6982, 275, 724, 360, 890, 302, 275, 8469, 17, 204, 15045, 275, 6247, 1009, 339, 29227, 17285, 302, 275, 8469, 19, 204, 39133, 368, 329, 435, 31, 313, 19, 56, 19, 35095, 363, 17, 1622, 673, 29386, 18658, 302, 871, 19, 39557, 415, 1771, 17921, 390, 1001, 204, 60, 281, 1130, 44060, 17, 1622, 673, 25497, 70, 302, 5868, 630, 204, 39133, 571, 329, 681, 31, 2232, 2298, 4596, 333, 267, 30660, 6455, 17, 1622, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4270, 19551, 360, 1001, 204, 3027, 29667, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 39133, 720, 329, 887, 31, 14150, 1130, 44060, 17, 1622, 673, 25497, 70, 302, 5868, 630, 204, 39538, 23393, 17166, 17, 1622, 673, 5179, 4208, 35305, 27569, 5424, 15167, 1001, 204, 39133, 1168, 329, 1132, 31, 39557, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 49, 454, 4596, 1816, 17, 1622, 1571, 22703, 8705, 929, 677, 46799, 21801, 550, 17, 332, 6527, 365, 515, 1001, 204, 39133, 1233, 329, 931, 31, 39557, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 39538, 3846, 1375, 1358, 905, 88, 17, 1622, 40494, 13809, 301, 1001, 204, 39133, 2958, 329, 1598, 31, 6901, 1144, 905, 88, 17, 1622, 5824, 275, 15955, 1001, 204, 6114, 2298, 4596, 333, 267, 30660, 6455, 17, 1622, 42, 21160, 2018, 366, 359, 288, 1001, 0, 18, 16274, 11243, 874, 273, 4968, 290, 360, 46207, 36, 204, 18, 2935, 353, 275, 12559, 292, 1214, 39275, 3250, 36, 204, 18, 2935, 5050, 302, 9712, 529, 4520, 808, 12559, 36, 204, 18, 16274, 11243, 874, 275, 1729, 542, 302, 15911, 36, 204, 18, 2935, 353, 275, 3406, 1376, 12559, 292, 1214, 2484, 36, 204, 18, 2026, 770, 872, 6721, 397, 872, 529, 21749, 36, 204, 18, 2935, 353, 275, 6726, 12559, 292, 275, 2484, 36, 204, 18, 2026, 770, 382, 26736, 2745, 17265, 6022, 360, 2482, 354, 36, 204, 18, 12322, 872, 1182, 21749, 397, 872, 4006, 884, 89, 874, 17265, 6022, 360, 2482, 354, 36, 204, 18, 2935, 1583, 490, 1869, 397, 872, 4006, 884, 89, 874, 273, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4208, 490, 3094, 311, 874, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4128, 872, 874, 970, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4128, 872, 5794, 2900, 15911, 36, 204, 18, 16274, 275, 18538, 302, 275, 17265, 6022, 360, 2482, 354, 4767, 42727, 329, 6468, 366, 8001, 36, 204, 18, 4128, 872, 874, 1698, 1051, 17265, 6022, 360, 2482, 354, 36, 204, 8772, 11243, 874, 273, 4968, 290, 360, 46207, 36, 204, 673, 4968, 290, 360, 12559, 329, 46207, 4930, 19264, 292, 275, 3466, 302, 275, 2074, 75, 17, 1283, 275, 970, 11879, 302, 275, 357, 812, 12031, 83, 547, 5717, 19, 204, 25243, 17177, 17, 3332, 931, 10, 311, 1199, 10, 302, 275, 3390, 353, 9596, 2900, 4968, 290, 360, 15911, 19, 204, 2204, 5701, 1051, 292, 1236, 2501, 13605, 27864, 17, 4260, 292, 275, 2482, 521, 3697, 3018, 1047, 204, 3728, 353, 275, 12559, 292, 1214, 39275, 3250, 36, 204, 673, 12952, 276, 2147, 1460, 21081, 360, 26547, 7686, 311, 275, 15016, 730, 1593, 301, 322, 291, 31974, 12559, 659, 23545, 275, 31974, 329, 39275, 17, 329, 630, 530, 1749, 311, 275, 1034, 302, 275, 1350, 1922, 12790, 19, 12694, 4408, 4263, 353, 311, 36560, 275, 39275, 17, 329, 490, 618, 1340, 311, 2284, 275, 39275, 8206, 275, 22955, 19, 204, 3728, 5050, 302, 9712, 529, 4520, 808, 12559, 36, 204, 38, 1481, 931, 311, 2153, 841, 1762, 302, 1880, 529, 4520, 808, 12559, 523, 1051, 521, 1855, 302, 1017, 14898, 19, 3846, 4520, 275, 12559, 5409, 884, 89, 1895, 275, 1874, 39412, 19, 334, 12559, 353, 273, 40922, 608, 302, 2077, 21086, 1415, 1376, 4494, 19497, 348, 31463, 19, 4253, 8489, 490, 618, 444, 1193, 14392, 311, 275, 39275, 19, 204, 8772, 11243, 874, 275, 1729, 542, 302, 15911, 36, 204, 14206, 6651, 1259, 496, 1422, 529, 1048, 34516, 6860, 45398, 15911, 292, 275, 3651, 2484, 17, 9504, 1429, 11057, 1307, 719, 311, 448, 1910, 448, 48722, 19, 9517, 10303, 1901, 7330, 874, 275, 1729, 4303, 758, 302, 15911, 17, 1422, 353, 1429, 23616, 497, 1051, 1874, 311, 3161, 19, 204, 3728, 353, 275, 3406, 1376, 12559, 292, 1214, 2484, 36, 204, 673, 12997, 6022, 360, 2482, 354, 12559, 6944, 497, 275, 39275, 311, 275, 31974, 19, 14614, 931, 10, 302, 9712, 770, 508, 874, 490, 19, 828, 872, 3022, 275, 1818, 302, 1214, 39275, 523, 273, 1435, 329, 2601, 1214, 22955, 311, 1214, 24180, 94, 17, 872, 1741, 3020, 273, 8072, 302, 12559, 2287, 719, 523, 1214, 39275, 19, 7054, 353, 273, 33521, 352, 464, 12559, 3250, 275, 12997, 6022, 360, 2482, 354, 19, 204, 2920, 770, 872, 6721, 397, 872, 529, 21749, 36, 204, 1036, 38028, 3665, 884, 358, 471, 27155, 448, 273, 6909, 673, 15847, 31, 3665, 2379, 1415, 872, 529, 19, 9517, 3665, 2379, 2075, 872, 3480, 19, 9517, 3665, 5506, 2090, 872, 884, 272, 1273, 872, 884, 272, 17870, 311, 444, 19, 9517, 3665, 8732, 872, 529, 292, 3326, 302, 275, 8411, 292, 1214, 3307, 19, 9517, 8800, 3307, 353, 758, 719, 523, 1214, 3346, 3099, 19, 9517, 8800, 3307, 353, 1182, 3277, 19, 9517, 8800, 10683, 3472, 11821, 9295, 1877, 872, 758, 1475, 19, 13936, 2696, 5013, 8617, 204, 3728, 353, 275, 6726, 12559, 292, 275, 2484, 36, 204, 88, 514, 276, 5717, 673, 6726, 12559, 292, 1214, 2484, 353, 275, 297, 514, 276, 5717, 17, 273, 2482, 14637, 12559, 496, 6944, 1873, 275, 1277, 302, 275, 3482, 377, 1267, 17, 21900, 275, 4342, 1873, 311, 275, 6204, 302, 275, 28240, 19, 334, 4408, 3263, 302, 275, 297, 514, 276, 1750, 529, 28240, 12952, 288, 329, 25842, 12952, 288, 329, 1093, 2750, 19, 204, 2920, 770, 382, 26736, 2745, 17265, 6022, 360, 2482, 354, 36, 204, 14324, 368, 12351, 1200, 7998, 521, 18282, 17, 14444, 275, 9739, 292, 6509, 302, 872, 329, 440, 273, 8106, 11586, 521, 23391, 685, 31974, 17, 3074, 275, 39275, 1025, 5674, 329, 732, 275, 904, 1922, 311, 9561, 275, 39275, 8206, 872, 311, 2931, 275, 16044, 322, 34039, 6022, 360, 13432, 354, 789, 204, 18696, 872, 1182, 21749, 397, 872, 4006, 884, 89, 874, 17265, 6022, 360, 2482, 354, 36, 204, 837, 2077, 8812, 2527, 17, 311, 444, 2824, 19, 9517, 828, 872, 3020, 273, 7514, 8072, 292, 275, 4876, 302, 1214, 39275, 17, 872, 874, 275, 46207, 4851, 311, 1214, 3848, 18, 339, 773, 12997, 6022, 360, 2482, 354, 19, 828, 872, 4006, 884, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 89, 2317, 378, 6499, 2103, 17, 872, 884, 272, 39789, 19, 204, 3728, 1583, 490, 1869, 397, 872, 4006, 884, 89, 874, 273, 17265, 6022, 360, 2482, 354, 36, 204, 7637, 6284, 302, 275, 12997, 6022, 360, 2482, 354, 1583, 508, 874, 437, 2620, 523, 42727, 8001, 19, 334, 12997, 6022, 360, 2482, 354, 12559, 618, 444, 5298, 560, 27176, 275, 36968, 302, 275, 12044, 14992, 329, 22955, 329, 12952, 299, 275, 39275, 19, 334, 46207, 17, 397, 3113, 17, 1120, 444, 9455, 292, 275, 4210, 1054, 302, 275, 39833, 39275, 19, 204, 4947, 490, 3094, 311, 874, 17265, 6022, 360, 2482, 354, 36, 204, 23, 19, 415, 1889, 29014, 6906, 480, 36051, 3322, 19, 1058, 14637, 46207, 630, 530, 1749, 311, 275, 5533, 1653, 302, 275, 39275, 329, 353, 4520, 292, 1465, 2247, 2847, 302, 1880, 292, 273, 5411, 3220, 19, 9517, 1058, 5926, 5814, 490, 437, 10495, 3508, 348, 732, 292, 46207, 1065, 34020, 2404, 490, 618, 444, 1376, 448, 273, 8776, 13762, 292, 275, 2484, 2900, 1169, 3490, 19, 204, 7874, 872, 874, 970, 17265, 6022, 360, 2482, 354, 36, 204, 31151, 12997, 6022, 360, 2482, 354, 12559, 867, 1193, 292, 435, 4494, 19497, 292, 970, 11041, 310, 5792, 19, 13432, 40117, 43382, 329, 3697, 46207, 302, 12997, 6022, 360, 2482, 354, 12559, 867, 8696, 292, 1051, 302, 3528, 11041, 310, 5792, 1101, 292, 1855, 4494, 19497, 2617, 204, 7874, 872, 5794, 2900, 15911, 36, 204, 27398, 12559, 17, 9712, 2549, 508, 5794, 19, 334, 4408, 2624, 302, 12559, 353, 311, 2284, 275, 16995, 302, 275, 20984, 17, 1101, 15911, 1425, 9393, 275, 5557, 311, 16564, 329, 32982, 275, 12540, 302, 904, 3287, 29668, 20691, 19, 204, 8772, 275, 18538, 302, 275, 17265, 6022, 360, 2482, 354, 4767, 42727, 329, 6468, 366, 8001, 36, 204, 13096, 19, 334, 12997, 6022, 360, 2482, 354, 46207, 353, 275, 1901, 12283, 35451, 46207, 348, 15003, 545, 12686, 329, 1922, 26924, 15913, 19, 9517, 1058, 3220, 12938, 496, 18538, 302, 275, 12997, 6022, 360, 2482, 354, 353, 508, 3610, 440, 273, 10574, 302, 42727, 521, 6468, 366, 8001, 19, 204, 7874, 872, 874, 1698, 1051, 17265, 6022, 360, 2482, 354, 36, 204, 673, 12997, 6022, 360, 2482, 354, 322, 9667, 14, 12559, 353, 273, 3256, 2581, 17, 49003, 12952, 276, 12559, 302, 275, 4494, 3040, 6738, 9920, 353, 29467, 2547, 9693, 1554, 329, 292, 1910, 2910, 27401, 17, 4260, 794, 29901, 3483, 521, 308, 29901, 3483, 19, 0, 45, 35156, 2427, 1680, 2303, 9331, 88, 31, 334, 37826, 2416, 371, 89, 204, 30210, 4160, 5436, 17, 10599, 204, 3837, 884, 88, 5805, 872, 5508, 4030, 1465, 17519, 17, 1429, 302, 451, 1182, 32389, 447, 1194, 5261, 2317, 29444, 3450, 19, 45002, 17, 3682, 21125, 16001, 273, 5765, 1465, 275, 3511, 302, 29444, 3450, 19, 382, 874, 311, 29784, 17, 348, 437, 726, 496, 13909, 1702, 273, 21253, 4263, 292, 2077, 7977, 322, 34555, 448, 382, 17935, 6396, 14, 382, 16084, 28740, 447, 5680, 1465, 275, 11091, 302, 2077, 21246, 331, 5183, 8120, 19, 204, 11594, 275, 4710, 5576, 302, 29444, 3450, 353, 19542, 1666, 1750, 17, 24359, 273, 16711, 302, 6148, 5032, 2080, 10581, 373, 12556, 440, 303, 12972, 292, 275, 1818, 348, 41342, 5252, 448, 4744, 448, 571, 17, 1207, 565, 19, 40, 19, 15438, 4212, 87, 1224, 1466, 1425, 1193, 292, 273, 35424, 523, 2427, 356, 496, 867, 5082, 3332, 368, 17, 16712, 565, 19, 40, 19, 1765, 273, 1335, 17, 29444, 3450, 1466, 273, 31821, 302, 275, 31363, 19, 1547, 19395, 884, 89, 3119, 275, 2153, 427, 6129, 17, 1330, 12014, 884, 88, 16773, 1504, 46, 47669, 273, 2871, 440, 273, 42719, 8944, 5955, 692, 16386, 17, 496, 273, 1182, 1622, 35760, 1001, 36599, 867, 9596, 19, 10303, 21056, 6901, 8705, 3548, 1333, 25811, 275, 1043, 6491, 302, 273, 18544, 578, 36599, 292, 2153, 5007, 17, 23415, 346, 24929, 880, 7001, 275, 387, 18, 19918, 9669, 1683, 275, 36599, 26136, 311, 3326, 37723, 7510, 2031, 2181, 5287, 19, 33978, 275, 1136, 302, 275, 1916, 427, 6129, 17, 18544, 578, 29444, 3450, 1466, 13405, 1182, 7458, 19, 204, 5399, 884, 88, 437, 9764, 4577, 302, 36599, 1659, 19019, 348, 872, 5013, 292, 275, 34371, 88, 17, 27996, 23071, 36881, 273, 11343, 903, 2228, 311, 2270, 17286, 10183, 292, 4109, 23516, 12997, 33534, 19, 334, 903, 2228, 1675, 3098, 20228, 4569, 41342, 18, 5969, 292, 15324, 19, 7953, 588, 36, 14083, 346, 5603, 19, 204, 16901, 275, 1199, 427, 6129, 17, 18544, 39178, 17, 1913, 18, 1612, 336, 2263, 24209, 329, 36599, 4960, 17768, 4327, 311, 275, 36802, 302, 29444, 3450, 496, 572, 830, 10582, 5319, 19, 592, 275, 4210, 18, 3276, 88, 17, 13530, 7568, 275, 10754, 15868, 5102, 311, 4426, 275, 1622, 737, 18, 2788, 1001, 29444, 3450, 496, 732, 1465, 4315, 448, 3171, 2263, 448, 275, 3090, 1094, 19, 9419, 1422, 529, 1429, 1880, 496, 4627, 490, 884, 88, 690, 311, 13776, 18544, 29444, 3450, 830, 4430, 3913, 311, 275, 3403, 1690, 302, 2263, 496, 353, 322, 85, 619, 271, 275, 16544, 14, 41951, 19, 387, 1980, 438, 5194, 329, 10590, 18, 36424, 11366, 8720, 273, 12479, 8318, 27050, 17, 754, 353, 490, 690, 311, 303, 8391, 2077, 40710, 1750, 18544, 299, 29444, 3450, 348, 1182, 37452, 18, 18418, 18814, 36, 4596, 1428, 3987, 685, 18544, 299, 29444, 3450, 329, 35928, 11576, 497, 9943, 10590, 17, 1622, 41570, 4132, 38012, 1001, 11845, 2549, 1814, 10590, 1025, 29405, 329, 29215, 5859, 1025, 2347, 496, 2549, 1523, 27784, 521, 3702, 719, 11522, 19, 204, 11926, 3483, 17, 382, 4006, 884, 89, 2379, 1465, 1622, 41570, 4132, 38012, 3582, 382, 884, 82, 1182, 1194, 10048, 311, 43511, 17, 382, 11278, 719, 1363, 38800, 2263, 329, 382, 4006, 884, 89, 10312, 448, 3171, 448, 382, 1376, 311, 20921, 311, 3566, 17422, 2317, 1101, 22275, 440, 2745, 18544, 36599, 36, 6, 7054, 4230, 444, 273, 1660, 1048, 275, 1007, 19, 204, 3728, 770, 872, 4030, 36, 0, 531, 1498, 532, 783, 204, 531, 4028, 532, 20351, 204, 531, 2573, 532, 5782, 204, 204, 676, 42595, 13, 5346, 330, 204, 264, 320, 5272, 273, 2786, 8415, 1279, 204, 264, 13195, 7622, 56, 289, 379, 45, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 2769, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 2769, 311, 4199, 19, 204, 268, 2769, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2769, 311, 4199, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 12421, 6200, 27084, 3368, 1014, 204, 268, 2769, 68, 1723, 289, 12421, 6200, 27084, 3368, 13, 1920, 68, 805, 17, 2769, 68, 417, 14, 204, 822, 268, 314, 977, 273, 4328, 348, 275, 542, 302, 3595, 28512, 204, 268, 771, 68, 522, 68, 6051, 289, 500, 204, 204, 268, 314, 45481, 3595, 497, 275, 2769, 3119, 490, 353, 1392, 204, 268, 1335, 959, 31, 204, 305, 314, 763, 273, 943, 497, 275, 2769, 204, 305, 5530, 289, 2769, 68, 1723, 19, 505, 68, 1454, 374, 204, 3123, 305, 314, 828, 275, 2769, 353, 1392, 17, 2280, 275, 3546, 204, 305, 397, 5530, 353, 443, 31, 204, 485, 456, 13, 75, 7, 40, 280, 2728, 463, 920, 68, 522, 68, 6051, 98, 3595, 497, 463, 1920, 68, 417, 12443, 204, 485, 2280, 204, 3123, 305, 314, 7415, 275, 943, 4328, 204, 305, 771, 68, 522, 68, 6051, 1412, 368, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2769, 26465, 204, 268, 456, 13, 75, 7, 596, 26465, 463, 1920, 68, 417, 2829, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 28523, 275, 1713, 27111, 19, 204, 264, 320, 204, 264, 314, 9886, 275, 27111, 204, 264, 348, 2769, 68, 417, 17, 2769, 68, 1087, 292, 1301, 7823, 7823, 68, 9926, 56, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 26956, 299, 463, 1920, 68, 417, 98, 2769, 7862, 204, 268, 4199, 68, 1920, 13, 1920, 68, 1087, 1166, 805, 2869, 2769, 68, 1087, 1166, 417, 3808, 204, 268, 456, 13, 75, 1954, 1920, 68, 417, 98, 2769, 28512, 13310, 83, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1255, 275, 2260, 1445, 311, 275, 1561, 832, 204, 264, 2454, 19, 546, 19, 1223, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 3843, 553, 19128, 45617, 379, 4608, 3063, 204, 615, 264, 314, 4390, 275, 12421, 6200, 27084, 3368, 204, 264, 497, 7135, 6200, 27084, 68, 1723, 532, 12421, 6200, 27084, 3368, 226, 314, 42238, 31, 16485, 34, 42, 21, 21972, 17, 346, 6257, 2353, 204, 615, 264, 314, 2466, 275, 667, 741, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 5180, 7627, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2851, 302, 7694, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1470, 2851, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 588, 302, 275, 1470, 2851, 1279, 204, 268, 407, 370, 19, 417, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 14386, 2914, 348, 275, 5180, 7627, 570, 1279, 204, 268, 2874, 68, 417, 289, 388, 7313, 8953, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 7313, 45812, 7, 204, 268, 10772, 289, 3134, 417, 1339, 204, 204, 204, 676, 5180, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1470, 440, 1163, 4163, 19, 204, 204, 264, 1532, 31, 204, 268, 2851, 322, 7313, 7627, 330, 334, 2851, 302, 275, 1470, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 1470, 19, 204, 268, 542, 68, 522, 68, 8524, 322, 339, 330, 334, 542, 302, 6453, 1945, 348, 275, 1470, 19, 204, 268, 9365, 68, 2201, 322, 339, 330, 334, 9365, 1870, 1945, 348, 275, 1470, 19, 204, 264, 320, 204, 264, 314, 968, 9365, 1870, 5426, 448, 273, 850, 3929, 204, 264, 23578, 28204, 68, 15140, 68, 10337, 289, 551, 204, 268, 322, 22, 17, 379, 31094, 1570, 2008, 204, 268, 322, 23, 17, 379, 5987, 8214, 2008, 204, 268, 322, 24, 17, 379, 46313, 2008, 204, 264, 2437, 204, 204, 264, 2851, 31, 5180, 7627, 289, 1094, 19, 4483, 499, 7313, 7627, 528, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 1022, 13271, 431, 204, 264, 1724, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 3534, 14, 204, 264, 542, 68, 522, 68, 8524, 31, 421, 289, 1094, 19, 23212, 374, 226, 314, 9251, 2140, 1534, 204, 264, 9365, 68, 2201, 31, 421, 289, 1094, 19, 6368, 13, 10481, 34, 15694, 28204, 68, 15140, 68, 10337, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 1724, 302, 275, 1470, 1279, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 14386, 2914, 348, 275, 5180, 570, 1279, 204, 268, 2874, 68, 417, 289, 388, 7313, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 7313, 88, 7, 204, 268, 10772, 289, 3134, 1778, 1339, 204, 0, 647, 2010, 448, 645, 204, 531, 5920, 532, 7664, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1967, 68, 5342, 13, 3366, 31, 1061, 14, 393, 1884, 64, 996, 17, 818, 744, 204, 264, 320, 204, 264, 1986, 275, 3466, 302, 273, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 2852, 322, 1665, 330, 332, 955, 1174, 379, 6600, 12, 329, 379, 19663, 12, 2992, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 996, 17, 818, 744, 334, 3466, 2992, 19, 204, 264, 320, 204, 264, 314, 888, 275, 3466, 2992, 204, 264, 610, 289, 322, 3366, 736, 6600, 6970, 21, 66, 465, 2852, 736, 19663, 6970, 21, 694, 802, 435, 204, 264, 469, 289, 322, 3366, 736, 6600, 6970, 22, 66, 465, 2852, 736, 19663, 6970, 22, 694, 802, 435, 204, 264, 407, 610, 17, 469, 204, 204, 461, 1967, 68, 835, 13, 3366, 31, 1061, 14, 393, 818, 31, 204, 264, 320, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 1986, 275, 1302, 302, 273, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 2852, 322, 1665, 330, 332, 955, 1174, 379, 6600, 12, 329, 379, 19663, 12, 2992, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 1302, 302, 275, 2852, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1302, 204, 264, 610, 289, 2852, 736, 6600, 6970, 21, 66, 338, 2852, 736, 19663, 6970, 21, 66, 204, 264, 469, 289, 2852, 736, 6600, 6970, 22, 66, 338, 2852, 736, 19663, 6970, 22, 66, 204, 264, 407, 610, 540, 469, 204, 204, 461, 1356, 68, 14028, 68, 47201, 13, 204, 264, 4449, 68, 47201, 31, 1061, 17, 716, 264, 10671, 31, 1061, 17, 716, 264, 690, 31, 421, 17, 716, 264, 3466, 31, 1884, 64, 996, 17, 818, 648, 716, 264, 690, 68, 10868, 31, 421, 204, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 397, 273, 10671, 2560, 292, 275, 4449, 17409, 19, 204, 204, 264, 457, 31, 204, 264, 4449, 68, 47201, 322, 1665, 330, 332, 955, 302, 4449, 17409, 19, 204, 264, 10671, 322, 1665, 330, 332, 955, 1174, 10671, 1483, 19, 204, 264, 690, 322, 339, 330, 334, 790, 690, 19, 204, 264, 3466, 322, 2983, 64, 996, 17, 818, 1037, 334, 3466, 2992, 302, 275, 10671, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 10671, 1222, 397, 490, 2560, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1861, 1924, 4449, 17409, 204, 264, 348, 10671, 68, 359, 17, 10671, 68, 873, 292, 4449, 68, 47201, 19, 1996, 1293, 204, 268, 846, 68, 834, 289, 846, 13, 18749, 68, 873, 1166, 834, 3808, 204, 268, 314, 778, 397, 275, 690, 2712, 353, 2614, 275, 3442, 204, 268, 397, 690, 338, 846, 68, 834, 1323, 690, 68, 10868, 540, 435, 31, 204, 305, 3524, 204, 268, 314, 778, 397, 275, 10671, 3466, 353, 3671, 311, 437, 4449, 10671, 3466, 204, 268, 348, 10671, 68, 5342, 292, 10671, 68, 873, 1166, 18749, 68, 5342, 8682, 204, 305, 2674, 289, 645, 19, 11450, 19, 5915, 13, 1123, 19, 643, 1568, 5342, 694, 338, 645, 19, 643, 1568, 18749, 68, 5342, 4513, 204, 305, 397, 2674, 962, 500, 19, 1258, 31, 204, 485, 407, 10671, 68, 359, 204, 264, 407, 443, 204, 204, 461, 1395, 68, 47201, 13, 204, 264, 4449, 68, 47201, 31, 1061, 17, 716, 264, 5209, 68, 47201, 31, 783, 64, 1665, 648, 716, 264, 10671, 68, 359, 31, 421, 17, 716, 264, 690, 31, 421, 17, 716, 264, 690, 68, 10868, 31, 421, 204, 14, 393, 1884, 64, 1665, 17, 421, 744, 204, 264, 320, 204, 264, 1716, 275, 4449, 17409, 440, 717, 17409, 19, 204, 204, 264, 457, 31, 204, 264, 4449, 68, 47201, 322, 1665, 330, 332, 955, 302, 4449, 17409, 19, 204, 264, 5209, 68, 47201, 322, 1218, 64, 1665, 1037, 332, 458, 302, 717, 17409, 311, 881, 19, 204, 264, 10671, 68, 359, 322, 339, 330, 334, 790, 10671, 1222, 19, 204, 264, 690, 322, 339, 330, 334, 790, 690, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1665, 17, 421, 744, 334, 2908, 4449, 17409, 329, 275, 717, 10671, 1222, 19, 204, 264, 320, 204, 264, 314, 1861, 1924, 717, 17409, 204, 264, 397, 5209, 68, 47201, 31, 204, 268, 348, 10671, 292, 5209, 68, 47201, 31, 204, 305, 3466, 289, 1967, 68, 5342, 13, 18749, 736, 1244, 68, 1229, 2378, 204, 305, 314, 778, 397, 275, 10671, 2861, 2560, 204, 305, 7535, 68, 359, 289, 1356, 68, 14028, 68, 47201, 13, 14028, 68, 47201, 17, 10671, 17, 690, 17, 3466, 17, 690, 68, 10868, 14, 204, 305, 397, 7535, 68, 359, 353, 443, 31, 204, 485, 314, 1255, 273, 717, 10671, 204, 485, 4449, 68, 47201, 64, 18749, 68, 359, 66, 289, 463, 204, 895, 388, 47201, 559, 551, 18749, 648, 204, 895, 388, 834, 559, 551, 834, 648, 204, 895, 388, 18749, 68, 5342, 559, 551, 5342, 66, 204, 485, 1211, 204, 485, 10671, 68, 359, 1412, 368, 204, 305, 902, 31, 204, 485, 314, 1716, 437, 4449, 10671, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 47201, 6925, 1223, 13, 18749, 14, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 834, 6925, 1223, 13, 834, 14, 204, 485, 4449, 68, 47201, 64, 18762, 68, 359, 10017, 18749, 68, 5342, 6925, 1223, 13, 5342, 14, 204, 264, 407, 4449, 68, 47201, 17, 10671, 68, 359, 204, 204, 461, 10671, 68, 10132, 13, 204, 264, 722, 68, 47201, 31, 783, 64, 1665, 648, 716, 264, 690, 68, 10868, 31, 421, 17, 716, 264, 7524, 68, 78, 31, 818, 289, 500, 19, 1258, 204, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 3055, 10671, 4249, 19, 204, 204, 264, 457, 31, 204, 264, 722, 68, 47201, 322, 1218, 64, 1665, 1037, 332, 458, 302, 17409, 440, 1017, 1483, 19, 204, 264, 690, 68, 10868, 322, 339, 330, 334, 690, 2280, 3442, 19, 204, 264, 7524, 68, 78, 322, 996, 17, 1448, 330, 334, 1759, 3442, 19, 1243, 311, 500, 19, 1258, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 31, 332, 955, 1174, 275, 4249, 1563, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 204, 264, 3090, 68, 863, 2103, 289, 722, 68, 47201, 64, 21, 6690, 863, 269, 839, 204, 264, 3090, 68, 834, 289, 722, 68, 47201, 64, 21, 6690, 834, 839, 204, 264, 4449, 68, 47201, 289, 2087, 204, 264, 10671, 68, 359, 289, 500, 204, 204, 264, 314, 1716, 4449, 17409, 440, 1419, 17409, 204, 264, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 3090, 68, 863, 2103, 17, 10671, 68, 359, 17, 3090, 68, 834, 17, 690, 68, 10868, 14, 204, 204, 264, 314, 1861, 1924, 722, 17409, 204, 264, 348, 424, 292, 722, 68, 47201, 31, 204, 268, 903, 2103, 289, 424, 736, 863, 269, 839, 204, 268, 690, 289, 424, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 736, 834, 839, 204, 268, 314, 778, 397, 275, 690, 2712, 353, 2614, 275, 3442, 204, 268, 397, 690, 338, 3090, 68, 834, 1323, 690, 68, 10868, 31, 204, 305, 3090, 68, 863, 2103, 289, 903, 2103, 204, 305, 3090, 68, 834, 289, 690, 204, 305, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 3090, 68, 863, 2103, 17, 10671, 68, 359, 17, 690, 17, 690, 68, 10868, 14, 204, 305, 3524, 204, 204, 268, 314, 1861, 1924, 17409, 204, 268, 348, 903, 269, 292, 903, 2103, 31, 204, 305, 397, 903, 269, 736, 1244, 68, 325, 839, 353, 443, 31, 204, 485, 3524, 204, 204, 305, 3466, 68, 78, 289, 1967, 68, 5342, 13, 863, 269, 736, 1244, 68, 1229, 2378, 204, 305, 1302, 68, 78, 289, 1967, 68, 835, 13, 863, 269, 736, 1244, 68, 1229, 2378, 204, 204, 305, 314, 1861, 1924, 3090, 17409, 204, 305, 348, 903, 269, 68, 79, 292, 3090, 68, 863, 2103, 31, 204, 485, 397, 903, 269, 68, 79, 736, 1244, 68, 325, 839, 353, 443, 31, 204, 895, 3524, 204, 204, 485, 3466, 68, 79, 289, 1967, 68, 5342, 13, 863, 269, 68, 79, 736, 1244, 68, 1229, 2378, 204, 485, 1302, 68, 79, 289, 1967, 68, 835, 13, 863, 269, 68, 79, 736, 1244, 68, 1229, 2378, 204, 204, 485, 314, 888, 1759, 329, 1302, 2712, 204, 485, 2674, 289, 645, 19, 11450, 19, 5915, 13, 1123, 19, 643, 1568, 5342, 68, 78, 694, 338, 645, 19, 643, 1568, 5342, 68, 79, 4513, 204, 485, 1302, 68, 5679, 289, 645, 19, 4977, 13, 835, 68, 78, 338, 1302, 68, 79, 14, 204, 204, 485, 314, 1716, 4449, 17409, 204, 485, 4449, 68, 47201, 17, 10671, 68, 359, 289, 1395, 68, 47201, 13, 14028, 68, 47201, 17, 551, 863, 269, 648, 10671, 68, 359, 17, 690, 17, 690, 68, 10868, 14, 204, 204, 268, 3090, 68, 863, 2103, 289, 903, 2103, 204, 268, 3090, 68, 834, 289, 690, 204, 204, 264, 314, 5185, 18, 13892, 204, 264, 2220, 68, 47201, 289, 2087, 204, 264, 348, 10671, 68, 359, 17, 10671, 68, 873, 292, 4449, 68, 47201, 19, 1996, 1293, 204, 268, 314, 1986, 10671, 1483, 204, 268, 17409, 289, 10671, 68, 873, 1166, 47201, 1339, 204, 268, 2666, 289, 10671, 68, 873, 1166, 834, 1339, 204, 268, 10671, 68, 15137, 289, 10671, 68, 873, 1166, 18749, 68, 5342, 1339, 204, 204, 268, 314, 888, 10671, 20998, 204, 268, 1097, 68, 47201, 289, 1306, 204, 268, 348, 10671, 292, 17409, 31, 204, 305, 397, 1245, 13, 18749, 736, 1244, 68, 325, 2378, 962, 720, 31, 204, 485, 3524, 204, 305, 1097, 68, 47201, 19, 1223, 13, 18749, 736, 1244, 68, 325, 2378, 204, 204, 268, 314, 1716, 2220, 17409, 204, 268, 2220, 68, 47201, 64, 18749, 68, 359, 66, 289, 463, 204, 305, 388, 23693, 5199, 675, 559, 7664, 13, 1018, 68, 47201, 789, 4425, 68, 4608, 2144, 204, 305, 388, 53, 812, 5199, 675, 559, 20866, 18749, 559, 10671, 17, 388, 834, 559, 690, 17, 388, 835, 559, 1302, 98, 348, 10671, 17, 690, 17, 1302, 292, 4337, 13, 47201, 17, 2666, 17, 10671, 68, 15137, 2395, 204, 268, 1211, 204, 204, 264, 407, 2220, 68, 47201, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 722, 68, 47201, 289, 551, 204, 268, 463, 204, 305, 379, 863, 269, 597, 551, 204, 485, 2552, 1244, 68, 325, 597, 379, 8927, 4326, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1003, 17, 931, 648, 379, 19663, 597, 551, 21, 17, 500, 7916, 1522, 204, 485, 2552, 1244, 68, 325, 597, 379, 16050, 7372, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1036, 17, 1199, 648, 379, 19663, 597, 551, 1003, 17, 931, 66, 3734, 204, 305, 7241, 204, 305, 379, 834, 597, 368, 204, 268, 4752, 204, 268, 463, 204, 305, 379, 863, 269, 597, 551, 204, 485, 2552, 1244, 68, 325, 597, 379, 8927, 4326, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 1641, 17, 2958, 648, 379, 19663, 597, 551, 22, 17, 368, 7916, 1522, 204, 485, 2552, 1244, 68, 325, 597, 379, 42750, 29025, 491, 379, 1244, 68, 1229, 597, 2552, 6600, 597, 551, 2188, 17, 2468, 648, 379, 19663, 597, 551, 1036, 17, 1199, 66, 3734, 204, 305, 7241, 204, 305, 379, 834, 597, 435, 204, 268, 1211, 204, 264, 2437, 204, 264, 690, 68, 10868, 289, 368, 204, 264, 4249, 68, 1300, 289, 10671, 68, 10132, 13, 1300, 68, 47201, 17, 690, 68, 10868, 14, 204, 264, 456, 13, 10132, 68, 1300, 14, 204, 0, 3661, 677, 2280, 1873, 275, 1844, 1660, 560, 1660, 31, 204, 204, 42164, 21778, 27466, 348, 435, 3658, 329, 16001, 348, 368, 19, 26, 3658, 19, 334, 1113, 5879, 867, 1199, 6172, 19, 1785, 529, 1425, 800, 496, 2268, 16001, 8697, 448, 5217, 448, 2268, 27466, 19, 204, 204, 3661, 677, 12091, 275, 14694, 2969, 448, 610, 6172, 841, 4904, 19, 5512, 17, 275, 4436, 2969, 353, 435, 93, 6172, 841, 4904, 19, 204, 204, 673, 1759, 2268, 27466, 353, 1936, 311, 2830, 14694, 2969, 11983, 560, 275, 690, 2268, 27466, 31, 435, 93, 19, 204, 204, 673, 1759, 2268, 16001, 353, 1936, 311, 2830, 4436, 2969, 11983, 560, 275, 690, 2268, 16001, 31, 368, 19, 26, 540, 435, 93, 289, 571, 93, 19, 204, 204, 4592, 275, 1113, 1759, 353, 1199, 6172, 17, 572, 618, 758, 719, 275, 1581, 31, 204, 204, 23, 93, 465, 571, 93, 289, 1199, 204, 204, 16758, 2090, 3099, 31, 204, 204, 26, 93, 289, 1199, 204, 204, 14880, 1855, 2902, 560, 720, 31, 204, 204, 93, 289, 681, 6172, 841, 4904, 322, 92, 8975, 2969, 14, 204, 204, 673, 4436, 2969, 353, 8697, 275, 14694, 2969, 31, 204, 204, 23, 93, 289, 435, 540, 681, 289, 1132, 6172, 841, 4904, 322, 10051, 2969, 14, 204, 204, 1449, 1356, 2077, 2073, 17, 2249, 677, 949, 275, 1113, 1759, 31, 204, 204, 14853, 27466, 31, 435, 3658, 540, 681, 6172, 20, 7459, 289, 1132, 6172, 204, 14853, 16001, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31, 368, 19, 26, 3658, 540, 1132, 6172, 20, 7459, 289, 1598, 6172, 204, 204, 6425, 1759, 31, 1132, 6172, 465, 1598, 6172, 289, 1199, 6172, 204, 204, 4356, 17, 15677, 21778, 16001, 630, 273, 2969, 302, 1132, 6172, 841, 4904, 19, 0, 647, 3805, 448, 1246, 204, 531, 781, 34620, 17383, 19, 481, 532, 636, 68, 40122, 27513, 68, 481, 204, 204, 461, 3686, 68, 40122, 27513, 68, 481, 374, 393, 1246, 19, 1362, 1152, 443, 31, 204, 264, 320, 204, 264, 4071, 275, 23086, 27513, 424, 497, 275, 424, 4065, 4712, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 1152, 443, 31, 334, 8781, 23086, 27513, 424, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 3686, 275, 23086, 27513, 424, 204, 268, 407, 636, 68, 40122, 27513, 68, 481, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 14052, 204, 268, 456, 13, 75, 7, 596, 9933, 23086, 27513, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3893, 68, 40122, 27513, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 11149, 275, 23086, 27513, 424, 560, 9101, 1163, 2630, 329, 1112, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 23086, 27513, 424, 311, 444, 7950, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 424, 353, 1097, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 424, 353, 443, 204, 264, 397, 424, 353, 443, 31, 204, 268, 407, 1078, 204, 615, 264, 314, 968, 275, 1812, 2630, 348, 275, 23086, 27513, 424, 204, 264, 1812, 68, 3786, 289, 2470, 25647, 491, 379, 30111, 491, 379, 6425, 839, 204, 615, 264, 314, 778, 397, 275, 424, 869, 275, 1812, 2630, 329, 273, 412, 1344, 7555, 204, 264, 407, 830, 13, 3071, 292, 424, 19, 3786, 348, 1837, 292, 1812, 68, 3786, 14, 329, 2381, 13, 481, 19, 998, 17, 1246, 19, 41072, 7555, 14, 204, 204, 461, 683, 68, 40122, 27513, 68, 481, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 23086, 27513, 424, 560, 9933, 329, 30635, 490, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 23086, 27513, 424, 353, 2872, 19, 204, 264, 320, 204, 264, 314, 4491, 275, 23086, 27513, 424, 204, 264, 424, 289, 3686, 68, 40122, 27513, 68, 481, 374, 204, 615, 264, 314, 3866, 275, 23086, 27513, 424, 204, 264, 397, 508, 3893, 68, 40122, 27513, 68, 481, 13, 481, 330, 204, 268, 980, 15689, 499, 43, 272, 27513, 424, 353, 2872, 431, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 40122, 27513, 68, 481, 374, 204, 0, 531, 12202, 532, 9124, 17, 14484, 204, 531, 1498, 532, 2334, 204, 647, 2010, 448, 645, 204, 204, 676, 13696, 13, 8927, 330, 204, 264, 320, 204, 264, 11663, 1034, 850, 348, 2048, 19, 204, 204, 264, 1058, 850, 3629, 273, 4802, 4147, 348, 2048, 17, 928, 618, 444, 1376, 311, 5363, 204, 264, 4109, 4685, 521, 13228, 523, 273, 800, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 1642, 9017, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 2334, 31, 204, 268, 320, 204, 268, 3963, 275, 722, 302, 275, 2648, 348, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 722, 302, 275, 2648, 15224, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 204, 676, 9664, 11896, 13, 11896, 330, 204, 264, 320, 204, 264, 13696, 850, 311, 5363, 275, 1869, 302, 273, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3963, 275, 1869, 302, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 1869, 302, 275, 424, 2158, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 424, 2158, 353, 1392, 204, 268, 397, 1245, 13, 481, 68, 2997, 14, 564, 500, 31, 204, 305, 407, 645, 19, 10377, 226, 314, 455, 17547, 348, 1392, 424, 2158, 204, 822, 268, 314, 3963, 275, 1869, 302, 275, 424, 2158, 204, 268, 407, 645, 19, 3037, 13, 481, 68, 2997, 14, 204, 204, 204, 676, 7383, 3753, 4261, 11896, 13, 11896, 330, 204, 264, 320, 204, 264, 13696, 850, 311, 5363, 275, 2599, 5432, 302, 273, 424, 2158, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 1300, 13, 327, 17, 424, 68, 2997, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3963, 275, 2599, 5432, 302, 275, 800, 424, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 2997, 31, 334, 537, 424, 2158, 19, 204, 204, 268, 475, 31, 204, 305, 334, 2599, 5432, 302, 275, 424, 2158, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 424, 2158, 353, 1392, 204, 268, 397, 1245, 13, 481, 68, 2997, 14, 564, 500, 31, 204, 305, 407, 645, 19, 10377, 226, 314, 455, 17547, 348, 1392, 424, 2158, 204, 822, 268, 314, 3963, 275, 2599, 5432, 302, 275, 424, 2158, 204, 268, 407, 645, 19, 3960, 13, 481, 68, 2997, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 1672, 424, 2158, 204, 264, 424, 68, 2997, 289, 645, 19, 643, 1568, 22, 17, 435, 17, 571, 17, 681, 17, 720, 694, 204, 204, 264, 314, 666, 2648, 5644, 204, 264, 1869, 68, 3995, 289, 9664, 11896, 374, 204, 264, 4714, 68, 5707, 68, 3995, 289, 7383, 3753, 4261, 11896, 374, 204, 204, 264, 314, 3963, 329, 456, 275, 1563, 204, 264, 456, 499, 12275, 2180, 1869, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 3995, 19, 505, 68, 1300, 13, 481, 68, 2997, 602, 204, 264, 456, 499, 15151, 21589, 2180, 4714, 68, 5707, 68, 3995, 19, 505, 68, 1300, 13, 481, 68, 2997, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 9992, 33692, 5248, 204, 204, 4377, 496, 273, 2384, 677, 33692, 353, 6488, 681, 19, 21, 17, 2075, 353, 275, 2634, 496, 275, 2384, 353, 497, 8971, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 3126, 275, 2634, 13783, 302, 33692, 3703, 348, 4719, 329, 9992, 2459, 19, 204, 204, 777, 17345, 10677, 4626, 204, 204, 15, 334, 2634, 3272, 302, 33692, 3703, 353, 7346, 440, 2634, 500, 19, 4957, 329, 14528, 440, 2634, 500, 19, 4779, 19, 204, 15, 828, 275, 3272, 353, 7346, 17, 275, 33692, 6353, 273, 7855, 3272, 440, 2072, 1132, 329, 435, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 681, 19, 21, 14, 3091, 19, 204, 15, 828, 275, 3272, 353, 14528, 17, 275, 33692, 353, 681, 19, 21, 440, 2634, 500, 19, 6007, 329, 500, 19, 21, 440, 2634, 500, 19, 1909, 19, 204, 204, 777, 49085, 10677, 4626, 204, 204, 15, 334, 2634, 3272, 302, 33692, 3703, 353, 7346, 440, 2634, 500, 19, 2418, 329, 14528, 440, 2634, 500, 19, 3222, 19, 204, 15, 828, 275, 3272, 353, 7346, 17, 275, 33692, 6353, 273, 7855, 3272, 440, 2072, 720, 329, 720, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 931, 19, 21, 14, 3091, 19, 204, 15, 828, 275, 3272, 353, 14528, 17, 275, 33692, 353, 931, 19, 21, 440, 2634, 500, 19, 30, 329, 500, 19, 21, 440, 2634, 500, 19, 22, 19, 204, 204, 777, 42101, 46485, 4626, 204, 204, 15, 334, 2634, 496, 275, 2384, 353, 497, 7266, 353, 500, 19, 1511, 19, 204, 15, 334, 2634, 496, 275, 2384, 353, 497, 8971, 353, 500, 19, 3534, 19, 204, 204, 4931, 23787, 12849, 17, 572, 618, 949, 275, 18135, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 19, 204, 204, 3661, 677, 732, 275, 2631, 5989, 31, 204, 204, 15, 415, 13, 38, 14, 289, 500, 19, 1511, 322, 15196, 2634, 302, 2545, 497, 7266, 14, 204, 15, 415, 13, 46, 14, 289, 500, 19, 3534, 322, 15196, 2634, 302, 2545, 497, 8971, 14, 204, 15, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 289, 2634, 302, 5202, 273, 33692, 302, 681, 19, 21, 800, 496, 275, 2384, 353, 497, 7266, 204, 15, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 289, 2634, 302, 5202, 273, 33692, 302, 681, 19, 21, 800, 496, 275, 2384, 353, 497, 8971, 204, 204, 2310, 618, 949, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 329, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 974, 275, 800, 13783, 19, 204, 204, 777, 37077, 4626, 204, 204, 53, 13, 44, 34, 25, 19, 21, 97, 38, 14, 289, 500, 19, 4957, 8591, 322, 7030, 3272, 440, 2072, 1132, 329, 435, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 681, 19, 21, 14, 3091, 14, 465, 500, 19, 4779, 8591, 322, 30331, 3272, 440, 2634, 500, 19, 6007, 630, 681, 19, 21, 329, 500, 19, 1909, 630, 500, 19, 21, 14, 204, 53, 13, 44, 34, 25, 19, 21, 97, 46, 14, 289, 500, 19, 2418, 8591, 322, 7030, 3272, 440, 2072, 720, 329, 720, 17, 513, 25963, 311, 275, 322, 21, 19, 21, 17, 931, 19, 21, 14, 3091, 14, 465, 500, 19, 3222, 8591, 322, 30331, 3272, 440, 2634, 500, 19, 30, 630, 931, 19, 21, 329, 500, 19, 22, 630, 500, 19, 21, 14, 204, 204, 4931, 1605, 5989, 17, 572, 618, 949, 275, 18135, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 31, 204, 204, 53, 13, 38, 97, 44, 34, 25, 19, 21, 14, 289, 415, 13, 44, 34, 25, 19, 21, 97, 38, 14, 8591, 415, 13, 38, 14, 802, 322, 53, 13, 44, 34, 25, 19, 21, 97, 38, 14, 8591, 415, 13, 38, 14, 465, 415, 13, 44, 34, 25, 19, 21, 97, 46, 14, 8591, 415, 13, 46, 602, 204, 204, 777, 5725, 4626, 204, 204, 673, 2634, 496, 275, 2384, 353, 497, 7266, 800, 496, 1017, 33692, 353, 681, 19, 21, 353, 5387, 368, 19, 21, 19, 204, 204, 1834, 722, 5814, 7211, 17, 3522, 275, 33692, 302, 681, 19, 21, 353, 3171, 1182, 5508, 311, 3891, 497, 437, 4719, 2384, 1194, 437, 9992, 2384, 17, 800, 275, 13783, 19, 0, 647, 45847, 204, 647, 690, 204, 204, 8, 968, 6860, 3454, 348, 11192, 886, 204, 24263, 68, 30012, 68, 43957, 289, 368, 204, 30012, 68, 15506, 68, 25782, 289, 931, 204, 204, 8, 968, 683, 2072, 204, 8004, 68, 28849, 17936, 2214, 289, 551, 21, 19, 26, 17, 500, 19, 28, 17, 368, 17, 368, 19, 1511, 17, 368, 19, 26, 17, 368, 19, 3534, 17, 500, 17, 368, 19, 1511, 17, 368, 19, 26, 17, 368, 19, 3534, 66, 204, 8004, 68, 41, 4544, 12196, 289, 551, 2188, 540, 3382, 66, 540, 887, 465, 551, 2682, 540, 3382, 66, 465, 551, 2188, 66, 540, 571, 204, 30012, 68, 41, 4544, 12196, 289, 551, 2188, 540, 3382, 66, 540, 887, 465, 551, 21, 66, 465, 551, 2682, 540, 3382, 66, 540, 571, 204, 204, 461, 5345, 68, 5747, 68, 32236, 13, 5433, 68, 417, 31, 394, 14, 393, 45847, 19, 8048, 31, 204, 264, 320, 204, 264, 977, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 3966, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2347, 8459, 2322, 3966, 19, 204, 204, 264, 475, 31, 204, 268, 45847, 19, 8048, 31, 334, 9810, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 3966, 68, 2754, 289, 45847, 19, 8048, 3313, 374, 204, 264, 407, 3966, 68, 2754, 19, 3664, 68, 5433, 13, 5433, 68, 417, 14, 204, 204, 461, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 8048, 17, 6264, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3291, 275, 1713, 6264, 311, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 268, 6264, 322, 996, 330, 334, 6264, 311, 3120, 19, 204, 264, 320, 204, 264, 314, 3291, 275, 1713, 6264, 440, 273, 1646, 790, 302, 368, 19, 21, 332, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 13, 75, 12, 8558, 49, 415, 1511, 59, 17, 463, 18143, 1522, 368, 19, 21, 534, 204, 204, 461, 3638, 68, 271, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8174, 523, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 611, 1420, 31, 1512, 523, 534, 204, 204, 461, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8174, 2258, 275, 2347, 8459, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 264, 320, 204, 264, 2347, 68, 32236, 68, 3075, 19, 2206, 611, 1420, 31, 1512, 2258, 534, 204, 204, 461, 1523, 68, 804, 13, 5747, 68, 32236, 68, 3075, 31, 45847, 19, 8048, 17, 683, 68, 18143, 31, 818, 17, 683, 68, 7083, 31, 421, 17, 5590, 68, 7083, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 273, 2875, 683, 440, 275, 1713, 6264, 329, 5401, 19, 204, 204, 264, 457, 31, 204, 268, 2347, 68, 32236, 68, 3075, 322, 3624, 70, 19, 8048, 330, 334, 2347, 8459, 2322, 19, 204, 268, 683, 68, 18143, 322, 996, 330, 334, 6264, 311, 3120, 1882, 275, 683, 19, 204, 268, 683, 68, 7083, 322, 339, 330, 334, 5401, 302, 275, 683, 292, 3331, 19, 204, 268, 5590, 68, 7083, 322, 339, 330, 334, 5401, 311, 5590, 1877, 275, 683, 292, 3331, 19, 204, 264, 320, 204, 264, 456, 611, 17882, 523, 534, 204, 264, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 17, 683, 68, 18143, 14, 204, 264, 3638, 68, 271, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 690, 19, 4867, 13, 804, 68, 7083, 14, 204, 264, 3120, 68, 18143, 13, 5747, 68, 32236, 68, 3075, 17, 500, 14, 204, 264, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 456, 611, 17882, 2258, 534, 204, 264, 690, 19, 4867, 13, 4867, 68, 7083, 14, 204, 204, 461, 24064, 13, 3474, 68, 4867, 68, 8618, 31, 421, 17, 5590, 68, 4841, 68, 6821, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3398, 2974, 497, 275, 1419, 5590, 3658, 440, 273, 1713, 5590, 3091, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 4867, 68, 8618, 322, 339, 330, 334, 1419, 5590, 3658, 19, 204, 268, 5590, 68, 4841, 68, 6821, 322, 339, 330, 334, 5590, 3091, 292, 3331, 19, 204, 264, 320, 204, 264, 1419, 68, 4867, 68, 6821, 289, 1419, 68, 4867, 68, 8618, 540, 3382, 540, 3382, 204, 264, 348, 296, 292, 933, 13, 3474, 68, 4867, 68, 6821, 330, 204, 268, 397, 296, 1564, 5590, 68, 4841, 68, 6821, 564, 500, 31, 204, 305, 456, 13, 75, 4705, 3474, 68, 4867, 68, 6821, 338, 296, 98, 3331, 4017, 534, 204, 268, 690, 19, 4867, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 348, 275, 3467, 19, 204, 264, 320, 204, 264, 3966, 68, 417, 289, 379, 44, 1338, 39, 21, 8799, 22, 8799, 1143, 14152, 12, 204, 264, 2347, 68, 32236, 68, 3075, 289, 5345, 68, 5747, 68, 32236, 13, 5433, 68, 417, 14, 204, 264, 456, 13, 75, 12, 7820, 336, 683, 19, 807, 5590, 348, 463, 24263, 68, 30012, 68, 43957, 98, 3658, 534, 204, 264, 24064, 13, 24263, 68, 30012, 68, 43957, 17, 387, 27212, 68, 15506, 68, 25782, 14, 204, 264, 348, 683, 68, 998, 17, 322, 804, 68, 18143, 17, 683, 68, 7083, 17, 5590, 68, 7083, 14, 292, 3209, 13, 5714, 13, 8004, 68, 28849, 17936, 2214, 17, 15521, 68, 41, 4544, 12196, 17, 387, 27212, 68, 41, 4544, 12196, 4019, 204, 268, 456, 13, 75, 12, 2346, 463, 804, 68, 998, 465, 368, 2829, 25795, 289, 463, 804, 68, 18143, 98, 628, 17, 29844, 289, 463, 804, 68, 7083, 98, 3331, 534, 204, 268, 1523, 68, 804, 13, 5747, 68, 32236, 68, 3075, 17, 683, 68, 18143, 17, 683, 68, 7083, 17, 5590, 68, 7083, 14, 204, 264, 3638, 68, 3008, 68, 5747, 68, 32236, 13, 5747, 68, 32236, 68, 3075, 14, 204, 264, 456, 611, 2346, 3870, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 5683, 204, 531, 5682, 532, 10974, 68, 7735, 204, 531, 5682, 19, 11851, 532, 27628, 204, 531, 5682, 532, 2805, 204, 531, 5682, 532, 15321, 204, 531, 5682, 532, 27450, 204, 531, 4305, 19, 6026, 532, 6528, 204, 204, 8, 968, 23443, 204, 37, 6598, 19, 8999, 204, 461, 1392, 68, 3530, 68, 11851, 374, 393, 27628, 31, 204, 264, 320, 6266, 437, 1392, 2786, 7667, 1279, 204, 264, 407, 27628, 374, 204, 204, 37, 6598, 19, 8999, 204, 461, 25417, 68, 3530, 68, 11851, 374, 393, 27628, 31, 204, 264, 320, 6266, 273, 25417, 2786, 7667, 440, 23516, 5682, 1279, 204, 264, 7667, 289, 27628, 374, 204, 264, 348, 4849, 292, 15321, 19, 505, 68, 6272, 1493, 1293, 204, 268, 2786, 289, 10974, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 379, 39066, 285, 534, 204, 268, 7667, 19, 5021, 68, 633, 68, 2723, 13, 3530, 14, 204, 264, 407, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7667, 204, 204, 8, 968, 683, 2910, 204, 461, 683, 68, 924, 68, 11851, 374, 393, 443, 31, 204, 264, 320, 12108, 275, 7934, 302, 273, 7667, 1279, 204, 264, 314, 666, 273, 717, 7667, 329, 1356, 397, 490, 677, 1392, 204, 264, 7667, 289, 27628, 374, 204, 264, 2136, 7667, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 4868, 68, 11851, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 437, 1392, 7667, 1279, 204, 264, 314, 778, 397, 275, 7667, 353, 1392, 204, 264, 2136, 1392, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 4952, 68, 4108, 68, 16939, 68, 27316, 68, 531, 68, 4868, 68, 11851, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 8374, 497, 437, 1392, 7667, 10036, 437, 2710, 1279, 204, 264, 314, 6608, 311, 2790, 273, 2786, 497, 437, 1392, 7667, 329, 1356, 397, 437, 2710, 353, 7514, 204, 264, 440, 5683, 19, 11688, 13, 5678, 19, 3882, 40, 7062, 19584, 2940, 330, 204, 268, 1392, 68, 3530, 68, 11851, 19, 3320, 374, 204, 204, 461, 683, 68, 2723, 68, 5021, 68, 16899, 68, 10247, 68, 4868, 68, 11851, 68, 37956, 3710, 68, 920, 68, 7735, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 18740, 273, 2786, 1025, 437, 1392, 7667, 7529, 275, 2786, 1040, 1279, 204, 264, 314, 6461, 273, 2786, 1025, 437, 1392, 7667, 329, 1356, 397, 275, 2786, 1040, 7529, 204, 264, 2786, 289, 10974, 68, 7735, 19, 11505, 374, 204, 264, 1392, 68, 3530, 68, 11851, 19, 5021, 68, 633, 68, 2723, 13, 3530, 14, 204, 264, 2136, 1392, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 368, 204, 204, 461, 683, 68, 2723, 68, 5021, 68, 416, 68, 3320, 68, 25382, 88, 68, 9743, 68, 3530, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 18740, 329, 8374, 273, 2786, 13729, 275, 1729, 2786, 1279, 204, 264, 314, 6461, 273, 2786, 1025, 437, 1392, 7667, 329, 2790, 490, 1818, 204, 264, 12493, 68, 3530, 289, 10974, 68, 7735, 19, 11505, 374, 204, 264, 1392, 68, 3530, 68, 11851, 19, 5021, 68, 633, 68, 2723, 13, 41270, 68, 3530, 14, 204, 264, 9470, 68, 3530, 289, 1392, 68, 3530, 68, 11851, 19, 3320, 374, 204, 264, 2136, 12493, 68, 3530, 353, 9470, 68, 3530, 204, 204, 461, 683, 68, 12446, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 41439, 273, 7667, 1279, 204, 264, 314, 25104, 275, 8062, 741, 329, 1356, 397, 490, 677, 3250, 204, 264, 440, 6528, 611, 7735, 19, 11851, 19, 2017, 19, 12446, 534, 448, 4306, 68, 12446, 31, 204, 268, 25417, 68, 3530, 68, 11851, 19, 12446, 374, 204, 268, 4306, 68, 12446, 19, 1858, 68, 10277, 68, 16899, 374, 204, 204, 461, 683, 68, 3956, 68, 3530, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 273, 2786, 497, 273, 7667, 1279, 204, 264, 314, 3182, 273, 2786, 497, 275, 7667, 329, 1356, 397, 490, 677, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 9839, 17, 27450, 19, 42271, 1557, 602, 204, 264, 1812, 68, 7735, 289, 551, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 27450, 19, 42271, 1557, 14, 204, 13653, 348, 4849, 292, 551, 20685, 19, 57, 1888, 17, 15321, 19, 47, 6135, 17, 15321, 19, 21111, 1888, 17, 15321, 19, 43316, 2629, 204, 264, 348, 1812, 68, 3530, 292, 1812, 68, 7735, 31, 204, 268, 2136, 1812, 68, 3530, 292, 25417, 68, 3530, 68, 11851, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 681, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 8765, 68, 3530, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 7428, 302, 273, 2875, 2786, 1279, 204, 264, 314, 3182, 830, 7428, 302, 273, 2875, 2786, 329, 1356, 397, 1250, 7188, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 68, 668, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 9839, 17, 27450, 19, 42271, 1557, 602, 204, 264, 1812, 68, 7735, 289, 551, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 5246, 17, 27450, 19, 42271, 1557, 14, 204, 13653, 348, 4849, 292, 551, 20685, 19, 57, 1888, 17, 15321, 19, 47, 6135, 17, 15321, 19, 21111, 1888, 17, 15321, 19, 43316, 2629, 204, 264, 348, 1812, 68, 3530, 292, 1812, 68, 7735, 31, 204, 268, 2136, 1812, 68, 3530, 292, 25417, 68, 3530, 68, 11851, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 681, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 23225, 13, 41097, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 5682, 496, 2216, 273, 10939, 1279, 204, 264, 314, 3182, 830, 5682, 496, 2216, 273, 10939, 329, 1356, 397, 1250, 7188, 5748, 204, 264, 25417, 68, 3530, 68, 11851, 19, 3956, 68, 668, 13, 40441, 19, 42271, 1557, 14, 204, 264, 2136, 25417, 68, 3530, 68, 11851, 19, 920, 68, 7735, 564, 500, 204, 204, 461, 683, 68, 3956, 68, 668, 68, 16204, 68, 389, 13, 4868, 68, 3530, 68, 11851, 31, 27628, 14, 393, 443, 31, 204, 264, 320, 12108, 7057, 830, 5682, 827, 1051, 1279, 204, 264, 314, 6461, 3536, 5682, 1025, 275, 7667, 329, 3142, 830, 827, 1051, 204, 264, 7667, 289, 1392, 68, 3530, 68, 11851, 204, 264, 348, 296, 292, 933, 13, 26, 330, 204, 268, 7667, 19, 5021, 68, 633, 68, 2723, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 43316, 17, 27450, 19, 4687, 7622, 602, 204, 264, 7667, 19, 5021, 68, 633, 68, 2723, 13, 29662, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 3745, 4544, 17, 27450, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42271, 1557, 602, 204, 264, 7667, 19, 12446, 374, 204, 264, 7667, 19, 3956, 68, 668, 13, 20685, 19, 43316, 14, 204, 264, 2136, 7667, 19, 920, 68, 7735, 564, 368, 204, 264, 2136, 7667, 19, 3320, 374, 564, 10974, 68, 7735, 19, 15151, 17497, 299, 11505, 13, 20685, 19, 3745, 4544, 17, 27450, 19, 42271, 1557, 14, 204, 0, 647, 6032, 448, 1774, 204, 204, 461, 458, 68, 6772, 68, 13238, 374, 393, 443, 31, 204, 264, 320, 204, 264, 23908, 3221, 7204, 2755, 348, 12105, 19, 204, 204, 264, 1058, 741, 5538, 275, 458, 302, 3221, 7204, 2755, 348, 12105, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 3221, 7204, 204, 264, 3221, 68, 13238, 289, 1774, 19, 1087, 19, 655, 68, 4132, 68, 13238, 611, 22690, 534, 465, 1774, 19, 1087, 19, 655, 68, 4132, 68, 13238, 611, 22990, 534, 204, 615, 264, 314, 1198, 275, 458, 302, 3221, 7204, 204, 264, 456, 499, 21235, 7204, 2212, 204, 264, 348, 2322, 292, 3221, 68, 13238, 31, 204, 268, 456, 13, 75, 7, 226, 338, 463, 3075, 19, 417, 743, 204, 204, 461, 838, 68, 15117, 68, 1538, 68, 20950, 374, 393, 927, 64, 2987, 19, 1556, 17, 1774, 19, 1556, 744, 204, 264, 320, 204, 264, 2605, 970, 7703, 348, 1525, 6177, 19, 204, 204, 264, 475, 31, 204, 268, 1525, 68, 70, 322, 2987, 19, 1556, 330, 334, 1043, 1525, 19, 204, 268, 1525, 68, 71, 322, 2987, 19, 1556, 330, 334, 1350, 1525, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2665, 329, 1019, 302, 275, 7703, 204, 264, 1525, 68, 70, 68, 1827, 289, 322, 23, 17, 571, 14, 204, 264, 1525, 68, 71, 68, 1827, 289, 322, 24, 17, 435, 14, 204, 264, 1525, 68, 70, 68, 1309, 289, 551, 22, 19, 21, 17, 435, 19, 21, 17, 571, 19, 21, 17, 681, 19, 21, 17, 720, 19, 21, 17, 887, 19, 21, 66, 204, 264, 1525, 68, 71, 68, 1309, 289, 551, 22, 19, 21, 17, 435, 19, 21, 17, 571, 19, 21, 17, 681, 19, 21, 17, 720, 19, 21, 17, 887, 19, 21, 66, 204, 204, 264, 314, 666, 275, 7703, 204, 264, 1525, 68, 70, 289, 1774, 19, 9185, 13, 1663, 68, 70, 68, 1309, 17, 2665, 34, 1663, 68, 70, 68, 1827, 17, 588, 833, 1663, 68, 70, 534, 204, 264, 1525, 68, 71, 289, 1774, 19, 9185, 13, 1663, 68, 71, 68, 1309, 17, 2665, 34, 1663, 68, 71, 68, 1827, 17, 588, 833, 1663, 68, 71, 534, 204, 615, 264, 407, 1525, 68, 70, 17, 1525, 68, 71, 204, 204, 461, 2811, 68, 1663, 68, 20950, 13, 1663, 68, 70, 31, 1774, 19, 1556, 17, 1525, 68, 71, 31, 1774, 19, 1556, 14, 393, 1774, 19, 1556, 31, 204, 264, 320, 204, 264, 9715, 1525, 6177, 523, 970, 7703, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 68, 70, 322, 2987, 19, 1556, 330, 334, 1043, 1525, 19, 204, 268, 1525, 68, 71, 322, 2987, 19, 1556, 330, 334, 1350, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 722, 322, 2987, 19, 1556, 330, 334, 722, 302, 275, 1525, 6177, 19, 204, 264, 320, 204, 264, 314, 3055, 1525, 6177, 974, 1774, 19, 15800, 204, 264, 722, 289, 1774, 19, 15800, 13, 1663, 68, 70, 17, 1525, 68, 71, 14, 204, 615, 264, 407, 722, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 1058, 741, 3330, 275, 2755, 7204, 17, 6609, 970, 7703, 17, 16510, 1525, 6177, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 783, 2755, 7204, 204, 264, 458, 68, 6772, 68, 13238, 374, 204, 615, 264, 314, 666, 7703, 348, 6177, 204, 264, 1525, 68, 70, 17, 1525, 68, 71, 289, 838, 68, 15117, 68, 1538, 68, 20950, 374, 204, 615, 264, 314, 3055, 1525, 6177, 204, 264, 722, 289, 2811, 68, 1663, 68, 20950, 13, 1663, 68, 70, 17, 1525, 68, 71, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 499, 11767, 332, 2212, 204, 264, 456, 13, 1663, 68, 70, 14, 204, 264, 456, 499, 11767, 565, 2212, 204, 264, 456, 13, 1663, 68, 71, 14, 204, 264, 456, 499, 5725, 302, 9260, 14579, 2212, 204, 264, 456, 13, 1300, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 32452, 204, 531, 1127, 532, 458, 1217, 204, 531, 1127, 19, 546, 532, 353, 553, 17, 5157, 204, 647, 8738, 204, 647, 690, 204, 204, 676, 9841, 31, 204, 264, 320, 204, 264, 332, 24552, 575, 4510, 348, 332, 4329, 28595, 8025, 368, 19, 22, 7855, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 68, 36768, 31, 7063, 330, 204, 268, 320, 204, 268, 1865, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 36768, 322, 10740, 330, 334, 17533, 311, 1012, 1330, 275, 388, 7820, 7, 2963, 353, 18728, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 3347, 19, 7882, 374, 204, 268, 370, 19, 2125, 19, 1778, 499, 38, 4329, 28595, 8025, 368, 19, 22, 7855, 431, 204, 268, 370, 19, 1530, 68, 36768, 289, 1012, 68, 36768, 204, 268, 370, 19, 1420, 68, 492, 289, 3347, 19, 3430, 13, 327, 19, 2125, 14, 204, 268, 370, 19, 1420, 68, 492, 19, 3674, 374, 204, 268, 370, 19, 11549, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 2125, 17, 1068, 1022, 473, 31, 473, 431, 204, 268, 370, 19, 11549, 68, 1676, 19, 3674, 374, 204, 268, 370, 19, 1510, 68, 12669, 374, 204, 204, 264, 436, 838, 68, 12669, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 13085, 348, 275, 9841, 19, 204, 268, 320, 204, 268, 314, 666, 6710, 204, 268, 1913, 68, 1669, 289, 3347, 19, 1126, 13, 327, 19, 2125, 14, 204, 268, 1913, 68, 1669, 19, 3674, 374, 204, 268, 1824, 68, 1669, 289, 3347, 19, 1126, 13, 2723, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 1669, 14, 204, 268, 1824, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 12842, 14, 204, 268, 1629, 68, 1669, 289, 3347, 19, 1126, 13, 2723, 68, 1669, 14, 204, 268, 1629, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 13544, 14, 204, 268, 5533, 68, 1669, 289, 3347, 19, 1126, 13, 327, 19, 2125, 14, 204, 268, 5533, 68, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 204, 268, 314, 763, 424, 329, 9696, 1860, 204, 268, 370, 19, 481, 68, 2375, 289, 370, 19, 505, 68, 481, 68, 2375, 374, 204, 268, 370, 19, 5547, 68, 2375, 289, 370, 19, 505, 68, 5547, 68, 2375, 374, 204, 204, 268, 314, 666, 10499, 8982, 204, 268, 370, 19, 481, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 5547, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 1510, 68, 20766, 68, 12766, 13, 1735, 68, 1669, 17, 370, 19, 481, 68, 2375, 17, 370, 19, 481, 68, 4415, 17, 388, 989, 25865, 431, 204, 268, 370, 19, 1510, 68, 20766, 68, 12766, 13, 1735, 68, 1669, 17, 370, 19, 5547, 68, 2375, 17, 370, 19, 5547, 68, 4415, 17, 388, 36818, 25865, 431, 204, 204, 268, 314, 666, 8982, 204, 268, 370, 19, 1510, 68, 12766, 13, 1735, 68, 1669, 14, 204, 204, 268, 314, 666, 1356, 7040, 204, 268, 370, 19, 2896, 68, 18366, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 11469, 68, 633, 68, 7129, 68, 4415, 289, 3347, 19, 44551, 374, 204, 268, 370, 19, 1510, 68, 2555, 7040, 13, 1633, 68, 1669, 14, 204, 204, 264, 436, 838, 68, 20766, 68, 12766, 13, 327, 17, 2023, 31, 3347, 19, 1126, 17, 1860, 31, 458, 17, 1554, 31, 3347, 19, 44551, 17, 1800, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 10499, 8982, 348, 275, 800, 1860, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 10499, 8982, 292, 19, 204, 305, 1860, 322, 655, 330, 334, 458, 302, 1860, 311, 838, 10499, 8982, 348, 19, 204, 305, 1554, 322, 4111, 19, 44551, 330, 334, 1554, 311, 19611, 440, 275, 10499, 8982, 19, 204, 305, 1800, 322, 325, 330, 334, 1800, 311, 2037, 4166, 275, 10499, 8982, 19, 204, 268, 320, 204, 268, 3347, 19, 6872, 13, 1669, 17, 1068, 34, 1676, 789, 3674, 374, 204, 268, 348, 296, 17, 510, 292, 3209, 13, 2375, 330, 204, 305, 3347, 19, 28555, 2947, 13, 1669, 17, 1068, 34, 553, 17, 1554, 34, 3334, 17, 700, 34, 78, 789, 3674, 13, 19492, 34, 4111, 19, 60, 14, 204, 204, 264, 436, 838, 68, 12766, 13, 327, 17, 2023, 31, 3347, 19, 1126, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 8982, 348, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 8982, 292, 19, 204, 268, 320, 204, 268, 1012, 68, 2947, 289, 3347, 19, 6059, 13, 1669, 17, 1068, 1022, 7820, 528, 1354, 34, 327, 19, 1530, 68, 10132, 14, 204, 268, 1012, 68, 2947, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 268, 5925, 68, 2947, 289, 3347, 19, 6059, 13, 1669, 17, 1068, 1022, 17100, 528, 1354, 34, 327, 19, 2125, 19, 11207, 14, 204, 268, 5925, 68, 2947, 19, 3674, 13, 2662, 34, 4111, 19, 42347, 14, 204, 204, 264, 436, 838, 68, 2555, 7040, 13, 327, 17, 2023, 31, 3347, 19, 1126, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 275, 1356, 7040, 348, 275, 9841, 19, 204, 204, 268, 457, 31, 204, 305, 2023, 322, 4111, 19, 1126, 330, 334, 2023, 311, 838, 275, 1356, 7040, 292, 19, 204, 268, 320, 204, 268, 3347, 19, 5995, 2947, 13, 1669, 17, 1068, 1022, 14625, 14054, 528, 1554, 34, 327, 19, 2896, 68, 18366, 68, 4415, 789, 3674, 374, 204, 268, 3347, 19, 5995, 2947, 13, 1669, 17, 1068, 1022, 23612, 311, 7956, 528, 1554, 34, 327, 19, 11469, 68, 633, 68, 7129, 68, 4415, 789, 3674, 374, 204, 204, 264, 436, 636, 68, 481, 68, 2375, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 3596, 275, 424, 1860, 497, 275, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 334, 458, 302, 424, 1860, 19, 204, 268, 320, 204, 268, 407, 551, 75, 348, 283, 292, 458, 1217, 22335, 481, 431, 397, 353, 553, 13, 1541, 22335, 481, 528, 283, 602, 329, 283, 19, 9641, 499, 24, 409, 14094, 204, 204, 264, 436, 636, 68, 5547, 68, 2375, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 3596, 275, 9696, 1860, 497, 275, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 334, 458, 302, 9696, 1860, 19, 204, 268, 320, 204, 268, 407, 551, 75, 348, 283, 292, 458, 1217, 22335, 481, 431, 397, 353, 553, 13, 1541, 22335, 481, 528, 283, 602, 329, 283, 19, 9641, 499, 5547, 14094, 204, 204, 264, 436, 1012, 68, 10132, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15374, 275, 4249, 19, 204, 268, 320, 204, 268, 424, 68, 553, 289, 370, 19, 481, 68, 2375, 64, 327, 19, 481, 68, 4415, 19, 505, 6485, 204, 268, 5704, 68, 553, 289, 370, 19, 5547, 68, 2375, 64, 327, 19, 5547, 68, 4415, 19, 505, 6485, 204, 268, 370, 19, 1530, 68, 36768, 13, 327, 17, 424, 68, 553, 17, 5704, 68, 553, 14, 204, 268, 370, 19, 2125, 19, 14677, 374, 204, 204, 264, 436, 2281, 68, 633, 68, 1420, 13, 327, 17, 5530, 31, 394, 289, 388, 3170, 528, 19544, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10515, 311, 275, 919, 1068, 2871, 19, 204, 204, 268, 457, 31, 204, 305, 5530, 322, 325, 330, 334, 943, 311, 2281, 19, 204, 305, 19544, 322, 2107, 330, 2266, 311, 19544, 275, 4449, 1068, 19, 204, 268, 320, 204, 268, 397, 19544, 31, 204, 305, 370, 19, 1420, 68, 492, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 2756, 13, 22, 19, 21, 17, 3347, 19, 6627, 14, 204, 305, 370, 19, 1420, 68, 492, 19, 5021, 13, 4111, 19, 14483, 17, 5530, 14, 204, 268, 902, 31, 204, 305, 370, 19, 1420, 68, 492, 19, 5021, 13, 4111, 19, 14483, 17, 5530, 14, 204, 268, 370, 19, 2125, 19, 2045, 374, 204, 204, 264, 436, 1395, 68, 11549, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 9869, 1800, 19, 204, 268, 320, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 268, 1335, 959, 31, 204, 305, 13179, 68, 834, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 305, 4112, 17, 3331, 289, 33564, 13, 19268, 68, 834, 17, 3382, 14, 204, 305, 370, 19, 11549, 68, 1676, 19, 1087, 13, 492, 34, 75, 1954, 339, 13, 10530, 330, 5559, 73, 10829, 339, 13, 6821, 330, 5559, 73, 743, 204, 305, 370, 19, 2125, 19, 2045, 374, 204, 305, 690, 19, 4867, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 436, 1012, 68, 36768, 13, 14891, 31, 9841, 17, 424, 68, 553, 31, 394, 17, 5704, 68, 553, 31, 394, 14, 393, 443, 31, 204, 268, 314, 8800, 4249, 1576, 3237, 204, 268, 1879, 204, 204, 264, 24536, 289, 9841, 13, 1530, 68, 36768, 14, 204, 264, 8738, 19, 9928, 13, 2170, 34, 14891, 19, 2045, 68, 11549, 789, 1530, 374, 204, 264, 24536, 19, 2125, 19, 14677, 374, 204, 0, 1834, 16680, 1472, 353, 1085, 302, 275, 16495, 47078, 1158, 46161, 884, 88, 32135, 19, 334, 19368, 5581, 302, 808, 4510, 1741, 1228, 322, 38881, 275, 3310, 19368, 16680, 1472, 348, 3695, 302, 19368, 6137, 659, 521, 275, 4510, 1741, 508, 444, 7306, 523, 19368, 19, 204, 1858, 19, 77, 5323, 6767, 2548, 25757, 204, 673, 7800, 8699, 523, 808, 4398, 1472, 353, 17498, 440, 275, 21582, 346, 2599, 19, 2334, 9422, 1283, 275, 7949, 8699, 3237, 329, 275, 21582, 346, 2599, 353, 794, 22324, 8979, 19, 1058, 3351, 302, 16495, 47078, 19, 22, 18, 18094, 436, 375, 311, 275, 21582, 346, 2599, 19, 204, 673, 962, 1858, 19, 77, 35, 3494, 10634, 7072, 275, 2136, 374, 20285, 19, 1547, 11647, 311, 275, 20285, 392, 9281, 928, 353, 508, 4310, 292, 275, 3494, 19, 828, 392, 9281, 353, 4310, 448, 273, 20285, 588, 2518, 275, 23091, 302, 808, 3494, 17, 275, 2136, 374, 20285, 10634, 444, 4310, 7493, 448, 31, 204, 8, 18125, 2136, 13, 12286, 48841, 22623, 14, 500, 14, 204, 12695, 1712, 17, 275, 20285, 42965, 448, 8699, 292, 2136, 1528, 204, 673, 2136, 374, 20285, 10634, 444, 304, 10208, 5575, 311, 275, 790, 1259, 302, 392, 9281, 848, 690, 962, 1858, 19, 77, 35, 353, 6999, 19, 204, 673, 2136, 374, 20285, 10634, 444, 7306, 448, 273, 20285, 17, 508, 448, 273, 741, 19, 828, 275, 20285, 4790, 353, 42361, 292, 1552, 311, 3073, 437, 2641, 741, 17, 275, 6137, 353, 23366, 19, 204, 673, 2631, 11056, 529, 19153, 19, 204, 673, 6136, 5181, 6269, 3351, 302, 16495, 47078, 19, 22, 18, 18094, 17, 2136, 374, 204, 13840, 1178, 302, 808, 1068, 529, 304, 38311, 329, 10876, 3862, 292, 16589, 798, 497, 44565, 1200, 73, 1607, 24, 19, 22, 17, 10072, 27453, 17, 7383, 348, 10455, 15259, 5187, 9182, 578, 36610, 6136, 26237, 322, 2701, 47078, 659, 334, 3594, 6885, 3301, 7314, 7973, 25886, 1168, 17, 21118, 322, 40, 14, 10072, 560, 275, 10249, 302, 33683, 329, 11405, 36292, 41813, 17, 15479, 329, 334, 3594, 6885, 19, 322, 1834, 353, 16495, 47078, 19, 22, 18, 18094, 440, 275, 10072, 31433, 5468, 6708, 43202, 368, 6310, 6268, 592, 275, 1643, 302, 1169, 39401, 1283, 808, 2585, 329, 275, 2171, 44565, 329, 334, 3594, 6885, 7383, 17, 275, 2171, 44565, 329, 334, 3594, 6885, 7383, 353, 275, 5438, 2265, 3243, 19, 334, 2171, 7383, 618, 444, 8744, 7110, 630, 4778, 1963, 4537, 19, 29163, 19, 4563, 20, 19960, 19, 2079, 2617, 204, 5588, 40975, 36231, 521, 15022, 2744, 496, 6743, 292, 808, 1472, 529, 1901, 5508, 311, 874, 1742, 12009, 1882, 275, 5818, 302, 275, 2139, 1860, 311, 1064, 1472, 1883, 19, 2416, 2556, 1702, 2744, 17, 3020, 10447, 1963, 4537, 19, 7317, 19, 4563, 20, 3228, 20, 1486, 18, 8381, 20, 38201, 68, 39653, 19, 2079, 2617, 0, 647, 2010, 448, 645, 204, 531, 2010, 19, 11450, 532, 7757, 204, 531, 7588, 532, 18809, 68, 6844, 204, 531, 4708, 532, 1184, 23241, 204, 531, 1498, 532, 783, 204, 204, 531, 6130, 19, 11901, 532, 752, 204, 531, 6130, 19, 25991, 19, 21330, 1845, 532, 19868, 1845, 204, 531, 6130, 19, 25991, 19, 21330, 1845, 532, 5221, 68, 768, 204, 647, 6032, 448, 1774, 204, 204, 676, 3207, 46190, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 5408, 2388, 974, 275, 19868, 1845, 570, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 570, 1164, 19868, 1845, 204, 268, 334, 19868, 1845, 570, 440, 3207, 5480, 3093, 329, 2900, 1913, 4131, 19, 204, 264, 1582, 1164, 1774, 19, 5963, 204, 268, 334, 4610, 1582, 348, 12105, 19, 204, 264, 4675, 68, 13753, 1164, 758, 204, 268, 332, 758, 302, 4675, 510, 11904, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 3207, 46190, 850, 19, 204, 268, 320, 204, 268, 370, 19, 809, 289, 19868, 1845, 13, 3815, 833, 32152, 491, 2255, 68, 2723, 34, 1975, 14, 204, 268, 370, 19, 1944, 289, 1774, 19, 505, 68, 2305, 68, 1944, 374, 204, 268, 370, 19, 13307, 68, 13753, 289, 758, 8031, 4955, 491, 379, 5684, 491, 379, 17997, 2378, 204, 204, 264, 436, 353, 68, 13307, 68, 553, 13, 327, 17, 2049, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 510, 869, 437, 4675, 5674, 19, 204, 204, 268, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 510, 869, 437, 4675, 5674, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 778, 397, 275, 2049, 3192, 273, 7844, 329, 275, 5674, 353, 292, 275, 4675, 11904, 204, 268, 407, 19849, 292, 2049, 329, 2049, 19, 33800, 28408, 368, 5604, 22, 1664, 3006, 374, 292, 370, 19, 13307, 68, 13753, 204, 204, 264, 436, 1352, 68, 935, 13, 327, 17, 752, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 3325, 437, 752, 560, 4644, 17, 29262, 17, 329, 32243, 490, 19, 204, 204, 268, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 268, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4050, 752, 2048, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 752, 329, 10752, 490, 311, 322, 16613, 17, 14692, 14, 204, 268, 3840, 289, 752, 19, 986, 68, 3371, 13, 935, 68, 546, 17, 1029, 68, 835, 3644, 16613, 17, 14692, 602, 204, 268, 314, 2208, 275, 752, 311, 437, 1348, 204, 268, 3840, 68, 481, 289, 752, 19, 3371, 68, 633, 68, 643, 13, 3371, 14, 204, 268, 314, 1255, 273, 2068, 5117, 204, 268, 3840, 68, 481, 289, 645, 19, 11185, 68, 10840, 13, 3371, 68, 481, 17, 3138, 34, 21, 14, 204, 268, 314, 8192, 275, 537, 204, 268, 3840, 68, 481, 289, 5221, 68, 768, 13, 3371, 68, 481, 14, 204, 204, 268, 314, 1974, 275, 570, 311, 1967, 2048, 497, 275, 752, 204, 268, 440, 370, 19, 1944, 19, 402, 68, 2305, 1293, 204, 305, 2048, 289, 370, 19, 809, 19, 4396, 13, 3371, 68, 481, 14, 204, 268, 407, 2048, 204, 204, 264, 436, 1814, 68, 633, 68, 766, 13, 327, 17, 424, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 2208, 273, 782, 2355, 302, 273, 955, 1818, 1025, 273, 2010, 1348, 19, 204, 204, 268, 457, 31, 204, 268, 424, 322, 325, 330, 334, 782, 2355, 302, 275, 955, 19, 204, 204, 268, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6004, 2010, 1348, 19, 204, 268, 320, 204, 268, 314, 2208, 275, 782, 311, 273, 955, 204, 268, 2048, 289, 18809, 68, 6844, 13, 481, 14, 204, 268, 314, 666, 273, 2010, 1348, 440, 275, 1706, 2665, 204, 268, 300, 643, 289, 645, 19, 4324, 1802, 22, 17, 1168, 17, 1168, 17, 12251, 602, 204, 204, 268, 314, 17207, 275, 2010, 1348, 440, 275, 1019, 497, 275, 955, 204, 268, 348, 296, 17, 1043, 292, 2048, 19, 1996, 1293, 204, 305, 348, 781, 17, 1350, 292, 1043, 19, 1996, 1293, 204, 485, 348, 724, 17, 4986, 292, 1350, 19, 1996, 1293, 204, 895, 348, 317, 17, 12044, 292, 4986, 19, 1996, 1293, 204, 2058, 300, 643, 64, 78, 1799, 79, 1799, 80, 1799, 81, 66, 289, 12044, 204, 204, 268, 407, 300, 643, 204, 204, 264, 436, 1020, 68, 19764, 68, 9274, 13, 327, 17, 752, 68, 546, 31, 394, 17, 752, 68, 643, 31, 783, 14, 393, 783, 31, 204, 268, 320, 204, 268, 1752, 275, 8462, 4083, 311, 437, 752, 292, 273, 458, 302, 2388, 19, 204, 204, 268, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 268, 752, 68, 643, 322, 1218, 330, 334, 458, 302, 2388, 311, 5408, 440, 19, 204, 204, 268, 475, 31, 204, 268, 783, 31, 332, 458, 302, 275, 1913, 720, 8462, 4083, 19, 204, 268, 320, 204, 268, 314, 3325, 275, 752, 329, 636, 1163, 2048, 204, 268, 752, 68, 2226, 289, 370, 19, 1616, 68, 935, 13, 935, 68, 546, 14, 204, 268, 314, 977, 273, 458, 311, 1640, 275, 8462, 4083, 204, 268, 8462, 68, 9274, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 458, 302, 2388, 204, 268, 348, 3840, 292, 752, 68, 643, 31, 204, 305, 314, 888, 275, 3671, 2292, 1283, 275, 752, 329, 275, 790, 752, 292, 275, 458, 204, 305, 7448, 289, 463, 204, 485, 379, 1368, 88, 920, 597, 3840, 19, 1368, 88, 920, 17, 204, 485, 379, 3529, 2292, 597, 7757, 13, 935, 68, 2226, 338, 370, 19, 6470, 68, 633, 68, 766, 13, 3371, 19, 2226, 602, 204, 305, 1211, 204, 305, 314, 1255, 275, 7448, 311, 275, 458, 302, 8462, 4083, 204, 305, 8462, 68, 9274, 19, 1223, 13, 20350, 14, 204, 204, 268, 314, 4641, 275, 458, 302, 8462, 4083, 560, 3671, 2292, 204, 268, 8462, 68, 9274, 19, 2975, 13, 644, 34, 1271, 23241, 611, 3529, 2292, 3063, 204, 268, 314, 455, 275, 1913, 720, 8462, 4083, 204, 268, 407, 551, 72, 736, 1368, 88, 920, 839, 348, 279, 292, 8462, 68, 9274, 2022, 26, 2629, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 39207, 289, 3207, 46190, 374, 204, 264, 752, 68, 546, 289, 388, 546, 68, 633, 68, 7941, 68, 935, 19, 5684, 7, 204, 264, 752, 68, 643, 289, 20866, 1368, 88, 920, 559, 368, 17, 388, 2226, 559, 11465, 2495, 1522, 2832, 1368, 88, 920, 559, 435, 17, 388, 2226, 559, 11465, 2495, 11129, 204, 264, 8462, 68, 9274, 289, 39207, 19, 2269, 68, 19764, 68, 9274, 13, 935, 68, 546, 17, 752, 68, 643, 14, 204, 264, 456, 13, 19764, 68, 9274, 14, 204, 0, 1571, 5648, 7515, 4042, 2549, 10574, 36046, 884, 88, 15747, 21811, 329, 838, 3490, 440, 27229, 38289, 5194, 17, 5575, 311, 275, 13153, 9354, 7515, 2652, 2556, 11159, 5319, 19, 204, 56, 11014, 415, 569, 276, 353, 8323, 1081, 16123, 302, 45815, 8134, 630, 36046, 4639, 19, 6234, 13335, 523, 275, 35075, 2668, 348, 275, 2556, 329, 353, 275, 17749, 1070, 11707, 348, 275, 17758, 9965, 9280, 19, 204, 990, 46, 4030, 1422, 529, 1429, 4199, 11658, 17, 1101, 808, 353, 1425, 437, 23211, 690, 4412, 415, 569, 276, 5366, 19, 1622, 673, 2556, 353, 35941, 292, 1163, 7058, 17, 329, 490, 6876, 1259, 23673, 311, 1012, 4461, 12939, 3214, 1025, 12711, 21603, 3582, 204, 10972, 20043, 884, 88, 15747, 7561, 17, 292, 4539, 17, 353, 17950, 311, 9793, 7515, 4042, 329, 8282, 5583, 19, 204, 60, 310, 476, 34445, 8812, 311, 6394, 21515, 302, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14822, 17, 329, 8797, 476, 17, 4870, 270, 16082, 375, 8812, 311, 1869, 496, 275, 14822, 3437, 2202, 18540, 17, 23963, 299, 13729, 19, 204, 12129, 36046, 10845, 17950, 311, 7515, 2652, 353, 6571, 42096, 329, 20502, 5194, 19, 2474, 14998, 39856, 20493, 82, 275, 5194, 17, 329, 38678, 42096, 353, 45312, 1025, 2077, 2263, 3641, 17, 4141, 273, 3566, 2667, 20227, 19, 204, 27742, 2090, 334, 3898, 94, 313, 14229, 292, 9992, 42603, 2248, 1662, 36046, 353, 2861, 4145, 311, 8649, 311, 7515, 2652, 19, 204, 10972, 20043, 1425, 869, 630, 94, 25148, 2223, 12492, 302, 20127, 20031, 3610, 440, 2077, 2796, 10845, 2317, 1465, 1199, 2847, 5092, 1194, 275, 6838, 2480, 19, 204, 2567, 281, 18, 45195, 2347, 6415, 732, 273, 6273, 302, 2263, 348, 19060, 19, 4087, 397, 572, 4699, 20335, 4042, 17, 496, 3210, 1017, 2661, 353, 692, 9127, 2317, 329, 2202, 12387, 353, 4489, 19, 204, 990, 2310, 874, 1182, 7048, 3303, 496, 7921, 496, 490, 353, 3651, 6196, 496, 529, 12511, 7515, 2652, 329, 496, 7515, 2652, 353, 16508, 4412, 415, 569, 276, 5366, 19, 1622, 2551, 275, 1259, 302, 36046, 353, 1465, 368, 329, 273, 4315, 4528, 31588, 17, 523, 2480, 17, 1194, 490, 867, 1051, 7584, 2181, 8518, 3582, 0, 11476, 2526, 21429, 3140, 7115, 21401, 35436, 39772, 38152, 725, 2494, 5351, 1227, 2321, 14648, 3464, 1955, 921, 11197, 23013, 1191, 10220, 1822, 12271, 725, 1822, 27830, 725, 1822, 21225, 1001, 2065, 2526, 21429, 5038, 2278, 4106, 5742, 4138, 990, 3283, 1822, 1001, 6290, 44553, 9959, 3654, 568, 1189, 226, 13919, 12271, 5661, 408, 14726, 10073, 8466, 16312, 9903, 408, 5659, 3140, 11153, 38152, 3865, 408, 21204, 8085, 39906, 3140, 1689, 1262, 18753, 13201, 568, 26789, 30794, 408, 14159, 3865, 18753, 13201, 1886, 6693, 942, 5510, 2356, 6642, 460, 45818, 568, 40416, 3571, 226, 3136, 33979, 1111, 36690, 4530, 3491, 568, 204, 6385, 990, 36718, 11932, 13201, 6681, 40416, 30280, 9878, 4265, 6290, 23717, 8202, 725, 12271, 36132, 40367, 24821, 1227, 2673, 254, 2321, 9014, 408, 14464, 1432, 5718, 11153, 29612, 17408, 2654, 21225, 2359, 2934, 38798, 3276, 11191, 11153, 831, 17408, 14486, 21225, 2359, 8532, 11191, 7466, 3944, 4096, 1189, 14159, 408, 2253, 8466, 5385, 921, 14159, 9878, 31660, 6122, 8418, 568, 204, 25986, 408, 40416, 27921, 3608, 4250, 10427, 408, 27921, 12354, 5017, 7474, 12674, 8643, 408, 12791, 1579, 31617, 3941, 1638, 14648, 12791, 35794, 16276, 408, 1367, 3463, 921, 4664, 1191, 11004, 21746, 6960, 568, 204, 40416, 921, 2526, 21429, 19539, 6883, 34149, 2338, 30287, 14557, 3833, 11808, 568, 6385, 18753, 13201, 1227, 1822, 4250, 5057, 35436, 226, 40416, 921, 19448, 6619, 5612, 5949, 6472, 28576, 11148, 3038, 30544, 3140, 31190, 39530, 990, 22740, 17663, 8464, 3865, 40416, 10150, 4664, 9580, 9145, 725, 40416, 7744, 1390, 18858, 23657, 10706, 1955, 408, 3675, 30544, 3140, 1603, 40416, 5629, 41280, 3653, 2235, 568, 204, 40416, 7744, 460, 22486, 2499, 10922, 30544, 4664, 9580, 408, 6429, 3140, 12261, 9184, 408, 31567, 854, 30912, 1002, 20665, 32751, 408, 6429, 5038, 9184, 6290, 27241, 854, 5110, 7292, 460, 408, 6429, 6462, 2499, 1345, 25418, 40416, 4664, 19119, 9184, 408, 1886, 20742, 40696, 16382, 12198, 5002, 990, 47659, 1001, 460, 9580, 4517, 568, 204, 3064, 7115, 1398, 2615, 3131, 10147, 40416, 18207, 29323, 854, 31, 22, 725, 4045, 3632, 1946, 45773, 7624, 34221, 4224, 13596, 725, 1390, 4294, 33226, 9145, 32, 23, 725, 3608, 3035, 30058, 16873, 13489, 10090, 725, 40416, 7744, 3064, 8466, 19987, 4907, 3632, 24944, 4286, 6796, 32, 24, 725, 45773, 7624, 34221, 17361, 568, 204, 921, 40416, 7744, 19084, 1926, 4045, 12665, 408, 3140, 35411, 12522, 2781, 40416, 22486, 2405, 22833, 9580, 47264, 408, 1970, 3035, 1902, 9893, 990, 2386, 4413, 6681, 3064, 11406, 4664, 17367, 460, 37440, 1971, 4068, 2739, 3304, 408, 23179, 6960, 35436, 22204, 12215, 408, 24076, 11153, 30038, 408, 35297, 35473, 408, 9145, 14687, 41619, 5057, 408, 8070, 3140, 16586, 9560, 408, 35090, 6619, 2382, 9580, 11436, 568, 204, 0, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 6130, 19, 1618, 532, 3746, 204, 531, 6130, 19, 3814, 532, 13059, 17, 26437, 17, 3682, 44663, 17, 12628, 17, 16211, 8144, 17, 881, 17, 4429, 17, 18581, 204, 531, 6130, 19, 11901, 532, 752, 17, 1767, 204, 647, 5503, 204, 531, 1498, 532, 1884, 204, 204, 676, 10143, 503, 1655, 6574, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1900, 25787, 348, 2388, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 283, 28641, 68, 481, 68, 546, 1164, 394, 204, 268, 334, 832, 311, 275, 47626, 424, 1445, 19, 204, 264, 1113, 68, 4077, 1164, 421, 204, 268, 334, 1113, 542, 302, 424, 4645, 19, 204, 264, 846, 68, 19457, 68, 1796, 1164, 421, 204, 268, 334, 1646, 1277, 302, 273, 17225, 19, 204, 264, 7494, 68, 835, 1164, 421, 204, 268, 334, 1302, 302, 275, 7494, 19, 204, 264, 1142, 68, 633, 68, 998, 1164, 1135, 204, 268, 332, 955, 4707, 2159, 311, 3265, 19, 204, 264, 1112, 68, 633, 68, 750, 1164, 1135, 204, 268, 332, 955, 4707, 3265, 311, 2159, 19, 204, 264, 6093, 68, 2936, 1164, 1135, 204, 268, 332, 955, 302, 6093, 2388, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 283, 28641, 68, 481, 68, 546, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 10143, 503, 1655, 6574, 850, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 283, 28641, 68, 481, 68, 546, 322, 325, 330, 334, 832, 311, 275, 47626, 424, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 75, 28641, 68, 481, 68, 546, 289, 283, 28641, 68, 481, 68, 546, 204, 268, 370, 19, 2609, 68, 4077, 289, 443, 204, 268, 370, 19, 1129, 68, 19457, 68, 1796, 289, 443, 204, 268, 370, 19, 16421, 68, 835, 289, 443, 204, 268, 370, 19, 750, 68, 633, 68, 998, 289, 443, 204, 268, 370, 19, 998, 68, 633, 68, 750, 289, 443, 204, 268, 370, 19, 9904, 68, 2936, 289, 370, 19, 986, 68, 9904, 68, 2936, 374, 204, 204, 264, 436, 1137, 68, 9904, 68, 2936, 13, 327, 14, 393, 1135, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 320, 204, 268, 5984, 275, 6093, 2388, 497, 275, 47626, 424, 1445, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 1135, 31, 332, 955, 302, 6093, 2388, 19, 204, 268, 320, 204, 268, 314, 1385, 6093, 2388, 497, 510, 204, 268, 407, 5503, 19, 986, 13, 3664, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 388, 43, 28641, 29, 80, 68, 492, 20, 9904, 68, 2936, 19, 85, 528, 388, 6952, 3687, 204, 204, 264, 436, 5345, 68, 5592, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 2558, 348, 275, 17225, 570, 4651, 19, 204, 268, 320, 204, 268, 314, 1385, 25787, 497, 510, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 379, 43, 28641, 29, 80, 68, 492, 20, 75, 28641, 68, 29, 80, 68, 1219, 68, 2182, 19, 3039, 491, 9336, 20265, 89, 534, 204, 822, 268, 314, 763, 275, 1113, 542, 302, 4645, 204, 268, 771, 68, 4077, 289, 2349, 19, 1827, 64, 21, 66, 204, 822, 268, 314, 977, 3330, 311, 1640, 25787, 329, 2388, 204, 268, 25787, 68, 655, 289, 1306, 204, 268, 2388, 68, 655, 289, 1306, 204, 822, 268, 314, 1861, 1048, 275, 3015, 292, 275, 5986, 204, 268, 348, 1112, 17, 1237, 292, 2349, 19, 22091, 1293, 204, 305, 25787, 68, 655, 19, 1223, 13, 937, 64, 22, 694, 204, 305, 2388, 68, 655, 19, 1223, 13, 937, 64, 21, 694, 204, 822, 268, 314, 888, 275, 1113, 542, 302, 424, 4645, 204, 268, 370, 19, 2609, 68, 4077, 289, 1066, 13, 1796, 13, 19457, 19, 1590, 1447, 338, 368, 348, 17225, 292, 25787, 68, 655, 14, 204, 268, 456, 13, 75, 7, 6425, 542, 302, 424, 4645, 31, 463, 327, 19, 2609, 68, 4077, 743, 204, 822, 268, 314, 666, 273, 458, 302, 2159, 204, 268, 2159, 289, 551, 3039, 19, 1590, 374, 348, 24238, 292, 25787, 68, 655, 66, 204, 268, 2220, 68, 2489, 289, 758, 13, 750, 348, 14174, 292, 2159, 348, 1142, 292, 14174, 14, 204, 822, 268, 314, 666, 5239, 311, 2304, 2159, 311, 3265, 329, 18977, 23983, 204, 268, 370, 19, 16421, 68, 835, 289, 1245, 13, 5271, 68, 2489, 14, 204, 268, 370, 19, 750, 68, 633, 68, 998, 289, 463, 750, 31, 296, 348, 296, 17, 1142, 292, 3209, 13, 5271, 68, 2489, 4150, 204, 268, 370, 19, 998, 68, 633, 68, 750, 289, 463, 78, 31, 1142, 348, 296, 17, 1142, 292, 3209, 13, 5271, 68, 2489, 4150, 204, 822, 268, 314, 888, 275, 1646, 17225, 1277, 204, 268, 370, 19, 1129, 68, 19457, 68, 1796, 289, 846, 13, 1796, 13, 19457, 19, 1590, 1447, 348, 17225, 292, 25787, 68, 655, 14, 204, 268, 456, 13, 75, 7, 38617, 1302, 31, 463, 327, 19, 16421, 68, 835, 743, 204, 268, 456, 13, 75, 7, 14020, 17225, 1277, 31, 463, 327, 19, 1129, 68, 19457, 68, 1796, 743, 204, 268, 456, 499, 34264, 7934, 7868, 5397, 204, 204, 264, 436, 424, 68, 5404, 13, 327, 17, 2068, 68, 835, 31, 421, 289, 4236, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 744, 204, 268, 320, 204, 268, 6071, 424, 348, 275, 17225, 570, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 424, 4651, 19, 204, 204, 268, 9112, 31, 204, 268, 22988, 204, 268, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 744, 332, 927, 1174, 275, 752, 537, 17, 7380, 25787, 17, 329, 1682, 2159, 19, 204, 268, 320, 204, 268, 314, 1385, 25787, 329, 2388, 497, 510, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 327, 19, 75, 28641, 68, 481, 68, 546, 465, 379, 43, 28641, 29, 80, 68, 492, 20, 75, 28641, 68, 29, 80, 68, 1219, 68, 2182, 19, 3039, 491, 9336, 20265, 89, 534, 204, 268, 25787, 68, 655, 289, 2349, 64, 22, 1664, 11380, 374, 204, 268, 2388, 68, 655, 289, 2349, 64, 21, 1664, 11380, 374, 204, 822, 268, 314, 977, 3330, 311, 1640, 7380, 25787, 17, 1682, 2159, 17, 329, 2388, 204, 268, 7380, 68, 17323, 289, 1306, 204, 268, 1682, 68, 2489, 289, 1306, 204, 268, 2388, 289, 1306, 204, 822, 268, 314, 977, 273, 4328, 348, 275, 1113, 542, 302, 4645, 204, 268, 1113, 68, 765, 289, 500, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 1861, 1048, 275, 25787, 329, 2388, 204, 305, 348, 752, 68, 5951, 17, 322, 492, 17, 3840, 14, 292, 3209, 13, 5714, 13, 32627, 68, 655, 17, 2388, 68, 655, 4019, 204, 485, 314, 763, 275, 6093, 752, 204, 485, 790, 68, 935, 289, 370, 19, 9904, 68, 2936, 64, 3371, 19, 4170, 6485, 204, 7933, 485, 314, 1861, 1048, 275, 2159, 292, 275, 17225, 204, 485, 348, 296, 292, 933, 13, 1796, 13, 492, 19, 1590, 1447, 338, 368, 330, 204, 895, 314, 7415, 275, 1113, 1040, 204, 895, 1113, 68, 765, 1412, 368, 204, 20943, 895, 314, 666, 273, 7380, 17225, 204, 895, 7380, 289, 551, 327, 19, 750, 68, 633, 68, 998, 64, 3039, 66, 348, 24238, 292, 1068, 19, 1590, 40172, 78, 465, 368, 2629, 204, 895, 7380, 68, 17323, 19, 1223, 13, 7120, 14, 204, 20943, 895, 314, 666, 273, 1051, 18, 5617, 6093, 1682, 1142, 204, 895, 1682, 68, 750, 289, 645, 19, 4324, 13, 327, 19, 16421, 68, 835, 14, 204, 895, 1682, 68, 750, 64, 327, 19, 750, 68, 633, 68, 998, 64, 492, 19, 1590, 8083, 78, 465, 368, 21192, 289, 368, 204, 895, 1682, 68, 2489, 19, 1223, 13, 2715, 68, 750, 14, 204, 20943, 895, 314, 1255, 275, 752, 311, 275, 458, 302, 2388, 204, 895, 2388, 19, 1223, 13, 1976, 68, 935, 14, 204, 20943, 895, 314, 828, 275, 1113, 1040, 353, 3114, 1194, 521, 1936, 311, 275, 2068, 1302, 17, 4353, 275, 424, 204, 895, 397, 1113, 68, 765, 3721, 2068, 68, 835, 31, 204, 2058, 314, 2208, 275, 3330, 311, 2010, 6946, 204, 2058, 1682, 68, 2489, 289, 645, 19, 16936, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 2715, 68, 2489, 14, 204, 2058, 2388, 289, 645, 19, 16936, 13, 2936, 14, 204, 2058, 7380, 68, 17323, 289, 1767, 19, 7220, 68, 7671, 13, 7120, 68, 17323, 17, 33474, 34, 327, 19, 1129, 68, 19457, 68, 1796, 17, 5204, 833, 2288, 534, 204, 1095, 822, 2058, 314, 8715, 275, 1113, 1040, 329, 4353, 275, 424, 204, 2058, 1113, 68, 765, 289, 500, 204, 2058, 4353, 5787, 2936, 17, 7380, 68, 17323, 648, 1682, 68, 2489, 66, 204, 1095, 822, 2058, 314, 8715, 275, 3330, 204, 2058, 7380, 68, 17323, 289, 1306, 204, 2058, 1682, 68, 2489, 289, 1306, 204, 2058, 2388, 289, 1306, 204, 204, 264, 436, 1137, 68, 935, 13, 327, 17, 832, 31, 394, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 5984, 437, 752, 497, 275, 1713, 832, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 448, 273, 2010, 1348, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 752, 204, 268, 3840, 289, 752, 19, 986, 68, 3371, 13, 546, 17, 1029, 68, 835, 3644, 16613, 17, 14692, 602, 204, 268, 610, 289, 752, 19, 3371, 68, 633, 68, 643, 13, 3371, 14, 204, 268, 407, 645, 19, 16936, 13, 93, 14, 204, 204, 264, 436, 838, 68, 7912, 68, 809, 13, 327, 17, 407, 68, 809, 31, 1109, 289, 1078, 14, 393, 3746, 31, 204, 268, 320, 204, 268, 2605, 275, 2423, 6497, 3100, 570, 348, 275, 17225, 4651, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 407, 68, 809, 322, 2107, 330, 2266, 311, 407, 275, 570, 521, 508, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 3746, 31, 334, 1966, 570, 19, 204, 268, 320, 204, 268, 314, 666, 275, 537, 4131, 204, 268, 752, 68, 768, 289, 4429, 13, 1827, 3644, 33253, 11451, 204, 268, 17225, 68, 768, 289, 4429, 13, 1827, 3644, 327, 19, 1129, 68, 19457, 68, 1796, 11451, 204, 822, 268, 314, 666, 275, 752, 4131, 204, 268, 752, 68, 2594, 68, 22, 289, 18581, 13, 21, 19, 26, 3085, 935, 68, 768, 14, 204, 268, 752, 68, 2594, 68, 23, 289, 12628, 13, 7489, 17, 4142, 833, 5723, 13921, 935, 68, 2594, 68, 22, 14, 204, 268, 752, 68, 2594, 68, 24, 289, 16211, 8144, 13, 327, 19, 1129, 68, 19457, 68, 1796, 3085, 935, 68, 2594, 68, 23, 14, 204, 822, 268, 314, 666, 275, 17225, 4131, 204, 268, 17225, 68, 2594, 68, 22, 289, 26437, 13, 327, 19, 16421, 68, 835, 17, 7328, 17, 3208, 68, 5306, 34, 1021, 3085, 19457, 68, 768, 14, 204, 268, 17225, 68, 2594, 68, 23, 289, 18581, 13, 21, 19, 26, 3085, 19457, 68, 2594, 68, 22, 14, 204, 268, 17225, 68, 2594, 68, 24, 289, 13059, 13, 6372, 17, 407, 68, 7671, 34, 1021, 3085, 19457, 68, 2594, 68, 23, 14, 204, 268, 17225, 68, 2594, 68, 25, 289, 3682, 44663, 13, 9415, 13, 7489, 22933, 19457, 68, 2594, 68, 24, 14, 204, 822, 268, 314, 9761, 275, 752, 329, 17225, 4131, 204, 268, 6879, 68, 2594, 68, 22, 289, 881, 1568, 935, 68, 2594, 68, 24, 17, 17225, 68, 2594, 68, 25, 694, 204, 268, 6879, 68, 2594, 68, 23, 289, 13059, 13, 5758, 17, 407, 68, 7671, 34, 1975, 3085, 9709, 68, 2594, 68, 22, 14, 204, 268, 919, 68, 2594, 289, 12628, 13, 327, 19, 16421, 68, 835, 17, 4142, 833, 11397, 13921, 9709, 68, 2594, 68, 23, 14, 204, 822, 268, 314, 666, 275, 570, 204, 268, 570, 289, 3746, 13, 4599, 3603, 935, 68, 768, 17, 17225, 68, 768, 648, 6360, 34, 1420, 68, 2594, 14, 204, 268, 456, 499, 1655, 1966, 5397, 204, 822, 268, 397, 407, 68, 809, 31, 204, 305, 407, 570, 204, 822, 268, 314, 11886, 275, 570, 204, 268, 570, 19, 7354, 13, 2650, 833, 11697, 68, 18760, 491, 4209, 833, 23528, 13286, 491, 5047, 4980, 5893, 2378, 204, 822, 268, 407, 570, 204, 204, 264, 436, 636, 68, 750, 13, 327, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 1142, 3310, 311, 275, 1713, 1112, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 1112, 322, 339, 330, 334, 1112, 302, 275, 1142, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 394, 31, 334, 1142, 3310, 311, 275, 1112, 19, 204, 268, 320, 204, 268, 407, 370, 19, 998, 68, 633, 68, 750, 64, 998, 66, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 10143, 503, 1655, 6574, 850, 204, 264, 4651, 289, 10143, 503, 1655, 6574, 499, 546, 68, 633, 68, 75, 28641, 68, 481, 431, 204, 615, 264, 314, 977, 275, 2558, 204, 264, 4651, 19, 9462, 68, 5592, 374, 204, 615, 264, 314, 666, 275, 570, 204, 264, 570, 289, 4651, 19, 1510, 68, 7912, 68, 809, 374, 204, 615, 264, 314, 1198, 275, 570, 5549, 204, 264, 456, 13, 809, 19, 7111, 1447, 204, 0, 1834, 353, 2077, 2171, 9071, 302, 974, 273, 14290, 8305, 19, 1785, 6860, 490, 388, 62, 4200, 77, 470, 2948, 204, 38, 9071, 2668, 869, 435, 3758, 448, 1132, 93, 29, 329, 720, 93, 26, 19, 204, 3661, 677, 10582, 717, 4699, 311, 4030, 2104, 204, 2920, 311, 8406, 31, 204, 13, 22, 14, 15631, 1051, 302, 275, 14290, 8305, 800, 292, 1392, 4207, 204, 13, 23, 14, 828, 1422, 353, 1236, 904, 5568, 302, 8305, 17, 1236, 6285, 5087, 311, 1729, 5568, 302, 8305, 848, 904, 204, 13, 24, 14, 4168, 1132, 93, 29, 36346, 9071, 9492, 830, 4207, 17, 848, 6285, 542, 529, 448, 1696, 31, 204, 45469, 13, 29, 659, 361, 3067, 13, 29, 659, 32812, 13, 1003, 659, 8503, 13, 1003, 659, 36107, 535, 13, 2300, 659, 415, 25873, 13, 2300, 14, 204, 13, 22, 14, 415, 25873, 618, 508, 444, 42046, 7686, 204, 13, 23, 14, 8503, 618, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 508, 444, 12956, 12717, 1312, 271, 3483, 10524, 42046, 7686, 204, 13, 24, 14, 32812, 618, 508, 9437, 523, 848, 8166, 1007, 204, 13, 25, 14, 361, 3067, 618, 508, 9437, 523, 848, 1237, 329, 1837, 204, 13, 26, 14, 18878, 618, 508, 9437, 523, 848, 1237, 17, 1837, 329, 8166, 1007, 204, 13, 27, 14, 36107, 535, 353, 13772, 560, 388, 51, 528, 2404, 388, 48, 7, 353, 1376, 348, 8503, 19, 204, 837, 808, 1650, 17, 572, 17260, 273, 717, 537, 1216, 388, 4167, 420, 5028, 7, 348, 273, 14079, 3783, 19, 4168, 872, 529, 4636, 440, 273, 14079, 3783, 440, 1051, 1922, 17, 872, 618, 2064, 275, 2073, 329, 25855, 9035, 292, 2842, 22955, 302, 1051, 1922, 19, 204, 3719, 872, 529, 12912, 292, 388, 4167, 420, 5028, 528, 9626, 3020, 808, 4092, 19, 204, 7, 62, 4200, 77, 470, 7, 353, 275, 667, 284, 29893, 280, 302, 388, 58, 293, 80, 842, 78, 6761, 2948, 204, 27120, 73, 523, 11157, 7207, 274, 10072, 19, 0, 315, 204, 8967, 1274, 6408, 204, 204, 1834, 2413, 8913, 275, 1274, 18620, 348, 275, 2002, 19, 1547, 10105, 5448, 311, 5020, 17, 226, 204, 6790, 299, 275, 1650, 311, 2906, 3426, 2164, 329, 407, 3426, 9347, 19, 204, 204, 3070, 1182, 1483, 17, 9626, 3020, 31, 204, 264, 10447, 1963, 11224, 19, 23564, 19, 1453, 20, 278, 20, 24, 19, 23, 20, 13094, 20, 1942, 20, 3968, 20, 204, 315, 204, 204, 531, 1907, 19, 4823, 532, 3051, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 531, 740, 532, 5020, 204, 204, 8, 968, 1274, 3758, 348, 275, 3051, 4510, 204, 4159, 68, 3968, 289, 551, 204, 264, 314, 9657, 1274, 204, 264, 832, 611, 4159, 4750, 3051, 19, 3350, 19, 3968, 659, 204, 66, 204, 204, 8, 968, 1274, 3758, 348, 1545, 6294, 204, 1723, 68, 3968, 289, 551, 204, 264, 314, 7308, 458, 1274, 204, 264, 832, 14945, 5020, 19, 1723, 68, 655, 17, 588, 833, 1723, 68, 655, 2008, 204, 264, 314, 7308, 3695, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 4810, 17, 588, 1022, 1723, 68, 4810, 3186, 204, 264, 314, 7308, 881, 1274, 204, 264, 832, 611, 826, 4750, 5020, 19, 1723, 68, 826, 17, 588, 1022, 1723, 68, 826, 3186, 204, 264, 314, 7308, 6448, 1274, 204, 264, 832, 611, 7451, 8121, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 7451, 17, 588, 1022, 1723, 68, 7451, 3186, 204, 264, 314, 7308, 4032, 1274, 204, 264, 832, 611, 2756, 8121, 339, 31, 1723, 68, 359, 17462, 5020, 19, 1723, 68, 2756, 17, 588, 1022, 1723, 68, 2756, 3186, 204, 66, 204, 204, 8, 968, 1274, 3758, 348, 1552, 6294, 204, 1115, 68, 3968, 289, 551, 204, 264, 314, 5868, 458, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 19130, 4783, 4750, 5020, 19, 1115, 68, 655, 17, 588, 1022, 1115, 68, 655, 3186, 204, 264, 314, 5868, 881, 1274, 204, 264, 832, 17404, 339, 31, 1723, 68, 359, 19130, 4783, 20, 826, 4750, 5020, 19, 1115, 68, 826, 17, 588, 1022, 1115, 68, 826, 3186, 204, 66, 204, 204, 8, 968, 275, 667, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 16219, 3051, 5448, 204, 264, 832, 611, 4159, 4750, 2255, 13, 4159, 68, 3968, 3917, 204, 264, 314, 16219, 1545, 5448, 204, 264, 832, 611, 13953, 4750, 2255, 13, 1723, 68, 3968, 3917, 204, 264, 314, 16219, 1552, 5448, 204, 264, 832, 611, 13953, 4750, 2255, 13, 1115, 68, 3968, 3917, 204, 66, 204, 0, 647, 2010, 448, 645, 204, 647, 1127, 204, 204, 461, 1151, 68, 481, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 4143, 273, 424, 510, 329, 2584, 275, 4578, 448, 273, 2010, 1348, 19, 204, 204, 264, 4435, 31, 204, 264, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 424, 510, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 1594, 497, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 510, 329, 1967, 275, 1945, 2630, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 314, 10248, 275, 3494, 1237, 204, 305, 1682, 13, 553, 14, 204, 305, 424, 289, 1306, 204, 305, 348, 1007, 292, 510, 31, 204, 485, 1019, 289, 1007, 19, 1590, 374, 204, 485, 314, 1986, 2630, 435, 17, 681, 17, 887, 17, 329, 1233, 322, 22, 18, 14585, 14, 204, 485, 424, 19, 1223, 1568, 996, 13, 1309, 64, 22, 5060, 818, 13, 1309, 64, 24, 5060, 818, 13, 1309, 64, 26, 5060, 818, 13, 1309, 64, 29, 37860, 204, 305, 407, 645, 19, 643, 13, 481, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1020, 68, 4027, 68, 12761, 13, 481, 31, 645, 19, 766, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 3221, 2311, 292, 275, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 424, 322, 1123, 19, 766, 330, 1594, 311, 1813, 348, 275, 3221, 2311, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 6104, 302, 275, 3221, 2311, 19, 204, 264, 320, 204, 264, 314, 10164, 275, 424, 1025, 10054, 302, 2031, 3015, 204, 264, 771, 68, 14399, 289, 421, 13, 1123, 19, 16304, 13, 1796, 13, 481, 14, 802, 2031, 602, 204, 264, 348, 4724, 292, 933, 13, 920, 68, 14399, 330, 204, 268, 1012, 68, 998, 289, 4724, 540, 2031, 204, 268, 1136, 68, 998, 289, 1006, 1802, 8545, 465, 368, 14, 540, 2031, 17, 1245, 13, 481, 602, 204, 268, 860, 68, 481, 289, 424, 64, 1530, 68, 998, 31, 409, 68, 998, 66, 204, 268, 860, 68, 1208, 289, 860, 68, 481, 3460, 571, 66, 204, 268, 1112, 68, 4027, 289, 645, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21522, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 6752, 204, 264, 771, 68, 10197, 289, 421, 13, 768, 1447, 204, 615, 264, 314, 3325, 848, 1484, 204, 264, 348, 906, 292, 933, 13, 920, 68, 10197, 330, 204, 268, 314, 1606, 275, 537, 348, 275, 790, 1484, 204, 268, 886, 17, 8577, 68, 835, 289, 1151, 68, 768, 374, 204, 822, 268, 314, 1752, 275, 1646, 1842, 292, 21522, 204, 268, 846, 68, 3337, 289, 1020, 68, 1129, 68, 266, 68, 40269, 13, 1630, 17, 8577, 68, 835, 14, 204, 822, 268, 314, 1198, 275, 722, 204, 268, 456, 4934, 1129, 68, 3337, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1361, 204, 647, 1127, 204, 647, 12725, 23, 204, 531, 12725, 23, 19, 6240, 532, 1628, 10208, 4690, 204, 531, 1498, 532, 1535, 17, 1884, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 204, 264, 2049, 833, 2511, 19, 761, 491, 204, 264, 1870, 34, 3247, 19, 9281, 17, 204, 264, 1883, 10730, 8592, 14, 88, 338, 4993, 417, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 491, 204, 264, 38109, 28297, 73, 5079, 71, 5079, 94, 1564, 45, 6212, 50, 6212, 56, 12, 204, 14, 204, 204, 676, 25891, 31, 204, 264, 320, 3317, 311, 2906, 1104, 7369, 329, 6752, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1863, 68, 417, 31, 394, 17, 1863, 68, 816, 31, 394, 17, 1863, 68, 1989, 31, 394, 17, 1863, 68, 2463, 31, 394, 17, 1863, 68, 898, 31, 394, 330, 204, 268, 320, 204, 268, 977, 275, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 268, 338, 1863, 68, 816, 322, 325, 330, 334, 2143, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 1989, 322, 325, 330, 334, 1482, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 2463, 322, 325, 330, 334, 2442, 348, 275, 1104, 19, 204, 268, 338, 1863, 68, 898, 322, 325, 330, 334, 2054, 348, 275, 1104, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 68, 417, 289, 1863, 68, 417, 204, 268, 370, 19, 1479, 68, 816, 289, 1863, 68, 816, 204, 268, 370, 19, 1479, 68, 1989, 289, 1863, 68, 1989, 204, 268, 370, 19, 1479, 68, 2463, 289, 1863, 68, 2463, 204, 268, 370, 19, 1479, 68, 898, 289, 1863, 68, 898, 204, 204, 264, 436, 2601, 13, 327, 14, 393, 12725, 23, 19, 2602, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 1104, 19, 204, 204, 268, 475, 31, 204, 268, 338, 12725, 23, 19, 2602, 31, 334, 7634, 1104, 1727, 19, 204, 268, 320, 204, 268, 407, 12725, 23, 19, 2933, 13, 204, 305, 1104, 34, 327, 19, 1479, 68, 417, 17, 204, 305, 575, 34, 327, 19, 1479, 68, 816, 17, 204, 305, 1482, 34, 327, 19, 1479, 68, 1989, 17, 204, 305, 2442, 34, 327, 19, 1479, 68, 2463, 17, 204, 305, 2054, 34, 327, 19, 1479, 68, 898, 204, 268, 1179, 204, 204, 264, 436, 4490, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 3737, 31, 1535, 64, 2983, 66, 289, 443, 14, 393, 1535, 64, 655, 744, 204, 268, 320, 204, 268, 5635, 273, 4053, 1484, 440, 1448, 2072, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 268, 338, 3737, 322, 4437, 64, 2983, 1037, 334, 2072, 348, 275, 1484, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 655, 744, 334, 722, 302, 275, 1484, 17, 521, 443, 397, 437, 908, 3129, 19, 204, 268, 320, 204, 268, 1727, 289, 370, 19, 2933, 374, 204, 268, 3370, 289, 1727, 19, 4322, 374, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 1484, 440, 2072, 397, 1917, 204, 305, 397, 3737, 31, 204, 485, 3370, 19, 4118, 13, 2120, 17, 3737, 14, 204, 305, 902, 31, 204, 485, 3370, 19, 4118, 13, 2120, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 1727, 19, 4827, 374, 204, 305, 314, 6579, 830, 275, 1563, 204, 305, 407, 3370, 19, 13208, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 1169, 2744, 496, 1336, 204, 305, 1361, 19, 718, 13, 75, 7, 596, 14026, 1484, 31, 463, 74, 743, 204, 305, 407, 443, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 3370, 19, 3529, 374, 204, 305, 1727, 19, 3529, 374, 204, 204, 676, 13143, 7073, 31, 204, 264, 320, 3317, 311, 2906, 1363, 1104, 2758, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1863, 68, 2602, 31, 25891, 330, 204, 268, 320, 204, 268, 977, 275, 1363, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1863, 68, 2602, 322, 7073, 5064, 330, 334, 1104, 1727, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 68, 2602, 289, 1863, 68, 2602, 204, 204, 264, 436, 22545, 68, 816, 13, 327, 17, 7178, 68, 359, 31, 421, 17, 588, 31, 394, 17, 18297, 31, 394, 17, 2143, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 29183, 273, 575, 311, 275, 1363, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7178, 68, 359, 322, 339, 330, 334, 7178, 1222, 302, 275, 575, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 575, 19, 204, 268, 338, 18297, 322, 325, 330, 334, 18297, 302, 275, 575, 19, 204, 268, 338, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 20832, 12377, 3612, 322, 8076, 68, 359, 17, 588, 17, 18297, 17, 2143, 17, 1714, 17, 22545, 17, 5218, 68, 655, 14, 204, 305, 12804, 18958, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 379, 816, 491, 34495, 17, 44116, 14, 204, 268, 320, 204, 268, 3737, 289, 322, 8076, 68, 359, 17, 588, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18297, 17, 2143, 14, 204, 268, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 204, 264, 436, 794, 19847, 68, 816, 13, 327, 17, 7178, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 28537, 539, 1071, 2115, 273, 575, 497, 275, 1363, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7178, 68, 359, 322, 339, 330, 334, 7178, 1222, 302, 275, 575, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 31412, 3612, 204, 305, 17899, 22545, 289, 44116, 204, 305, 8888, 7178, 68, 359, 289, 1564, 88, 204, 268, 320, 204, 268, 3737, 289, 322, 8076, 68, 359, 16391, 204, 268, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 204, 264, 436, 353, 68, 805, 68, 8683, 22847, 13, 327, 17, 1779, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 1274, 353, 43888, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1779, 322, 325, 330, 334, 1274, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 1274, 353, 43888, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 15754, 5218, 68, 655, 204, 305, 7281, 14360, 204, 305, 8888, 1779, 289, 1564, 88, 204, 268, 320, 204, 268, 3737, 289, 322, 805, 16391, 204, 268, 722, 289, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 17, 3737, 14, 204, 268, 397, 722, 31, 204, 305, 407, 722, 64, 21, 1799, 21, 66, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 2017, 68, 805, 13, 327, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 763, 273, 1400, 1274, 497, 275, 1104, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 325, 744, 334, 1400, 1274, 17, 521, 443, 397, 1236, 5448, 529, 2755, 19, 204, 268, 320, 204, 268, 1484, 289, 320, 204, 305, 15754, 1779, 204, 305, 7281, 14360, 204, 305, 8888, 5218, 68, 655, 289, 44116, 204, 305, 24584, 16960, 361, 2313, 19839, 374, 204, 305, 32872, 368, 204, 268, 320, 204, 268, 722, 289, 370, 19, 1479, 68, 2602, 19, 4118, 68, 2120, 13, 2120, 14, 204, 268, 397, 722, 31, 204, 305, 407, 722, 64, 21, 1799, 21, 66, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 1104, 1727, 2072, 497, 1964, 2558, 204, 264, 1863, 68, 417, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 3349, 534, 204, 264, 1863, 68, 816, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 6520, 534, 204, 264, 1863, 68, 1989, 289, 1127, 19, 4969, 19, 505, 611, 44720, 68, 9778, 534, 204, 264, 1863, 68, 2463, 289, 379, 1479, 12, 204, 264, 1863, 68, 898, 289, 379, 42947, 12, 204, 204, 264, 314, 666, 273, 1104, 1727, 204, 264, 1863, 68, 2602, 289, 25891, 13, 1479, 68, 417, 17, 1863, 68, 816, 17, 1863, 68, 1989, 17, 1863, 68, 2463, 17, 1863, 68, 898, 14, 204, 204, 264, 314, 666, 273, 1363, 1104, 204, 264, 1363, 68, 2819, 289, 13143, 7073, 13, 1479, 68, 2602, 14, 204, 204, 264, 314, 1165, 1265, 31, 204, 264, 1363, 68, 2819, 19, 19847, 68, 816, 13, 16298, 17, 379, 6192, 491, 379, 21869, 491, 379, 41144, 534, 204, 264, 1363, 68, 2819, 19, 350, 19847, 68, 816, 13, 16298, 14, 204, 264, 456, 13, 2511, 68, 2819, 19, 360, 68, 805, 68, 8683, 22847, 611, 3189, 1963, 2569, 19, 1453, 3063, 204, 264, 456, 13, 2511, 68, 2819, 19, 505, 68, 2017, 68, 805, 1447, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 18208, 2321, 8297, 27658, 21195, 6076, 46391, 6791, 5732, 113, 5732, 113, 27658, 568, 1638, 3276, 28436, 26840, 27848, 16412, 8181, 9850, 408, 4296, 27658, 6472, 20371, 4565, 725, 1377, 4684, 1251, 725, 26942, 1822, 725, 5173, 2114, 10893, 725, 1670, 11413, 4562, 30894, 12453, 568, 1929, 2499, 27848, 3784, 10144, 21131, 1984, 204, 831, 725, 9942, 34403, 10250, 568, 9942, 34403, 2321, 1999, 43917, 1811, 1251, 408, 42344, 2321, 1999, 22, 99, 23, 26257, 408, 2321, 5110, 22, 99, 1909, 6377, 408, 6472, 38137, 5612, 1899, 2321, 4769, 1227, 4129, 11032, 4769, 3058, 34403, 7386, 8481, 942, 22356, 2148, 408, 3079, 19658, 16921, 408, 2823, 5801, 2174, 4121, 24809, 13261, 568, 4224, 5677, 2426, 7965, 4709, 34403, 2677, 5759, 2337, 2653, 38626, 10893, 2654, 725, 10893, 11870, 408, 30845, 34403, 2386, 8056, 942, 24736, 8331, 1227, 5124, 3854, 2006, 408, 4126, 26257, 2321, 1999, 1262, 1401, 6633, 16761, 9333, 99, 2825, 36966, 568, 8297, 27658, 7702, 18791, 15625, 4402, 408, 7608, 1638, 36795, 10484, 30452, 24809, 408, 5659, 2321, 2006, 35356, 2321, 1401, 20071, 408, 5727, 9153, 2321, 1999, 22, 20, 24, 408, 1432, 24615, 2321, 11870, 408, 2278, 9239, 8766, 10794, 48201, 725, 6208, 123, 11870, 1955, 408, 5718, 921, 34403, 7386, 2370, 15093, 942, 17827, 8767, 725, 6633, 8767, 2338, 22313, 25945, 1955, 13231, 43139, 44463, 3608, 2336, 1167, 250, 4299, 41050, 7925, 568, 204, 3977, 725, 27658, 15337, 4224, 5677, 568, 6633, 16761, 2321, 8446, 28, 99, 1003, 2773, 31431, 13154, 1946, 17486, 4224, 15337, 408, 1603, 2321, 4837, 5659, 7474, 1822, 408, 42344, 460, 20371, 2321, 4837, 1036, 17145, 99, 2188, 45022, 777, 1909, 17145, 1398, 31007, 11122, 5173, 568, 2321, 2006, 2370, 11017, 1822, 17571, 11032, 408, 42905, 11032, 42204, 1719, 18492, 7228, 8778, 568, 2321, 2006, 26073, 2148, 42204, 2188, 99, 2169, 43176, 568, 9049, 5057, 28, 19, 21, 99, 29, 19, 26, 568, 4224, 5677, 22, 19, 26, 99, 24, 19, 26, 33902, 39026, 27658, 15337, 408, 4224, 5677, 26326, 1189, 26993, 99, 28, 1207, 19278, 20, 26257, 568, 4224, 15337, 1398, 2499, 14136, 27658, 15337, 17515, 16013, 33197, 34403, 2386, 2188, 11259, 40638, 19992, 408, 2678, 27658, 15337, 16873, 19293, 34403, 2386, 2321, 4837, 408, 28346, 6960, 27658, 15337, 1579, 3227, 4562, 568, 4224, 5677, 22, 14881, 13620, 408, 1432, 5100, 1398, 4224, 5677, 1719, 99, 9952, 7228, 20, 19278, 48192, 4747, 8690, 101, 2682, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 99, 2051, 19278, 20, 26257, 568, 18208, 2321, 8297, 27658, 854, 7386, 1167, 250, 12298, 18629, 22118, 408, 21855, 10947, 5677, 1191, 1390, 5784, 11530, 5173, 2114, 12019, 4044, 408, 9555, 1432, 16841, 8297, 27658, 460, 20371, 5932, 408, 9027, 1432, 1531, 34403, 2386, 9510, 11032, 460, 38019, 12019, 4044, 568, 3038, 10705, 10947, 5677, 11413, 5173, 18262, 7960, 5173, 2114, 12019, 4044, 408, 30845, 6290, 8297, 27658, 20371, 568, 204, 3283, 725, 4139, 4293, 119, 28385, 5677, 568, 27658, 15337, 4224, 34403, 2188, 11259, 1946, 6776, 4139, 41335, 38042, 408, 33212, 1254, 4139, 41335, 25450, 10720, 8490, 15547, 4348, 21945, 17922, 408, 4762, 8461, 4076, 12577, 2382, 10893, 12019, 1227, 17071, 11413, 1955, 408, 4139, 41335, 2359, 1189, 27658, 45627, 27, 99, 29, 11191, 1789, 7335, 10776, 29946, 4139, 41335, 568, 6766, 11122, 5173, 5596, 2114, 7980, 241, 10776, 9153, 2544, 43432, 23, 20, 24, 13620, 408, 16806, 777, 2065, 34403, 6760, 45031, 35136, 10464, 568, 1191, 2849, 2321, 4837, 1822, 725, 11122, 5173, 27204, 14136, 408, 4139, 41335, 2359, 1003, 12899, 30068, 4139, 41335, 27658, 4293, 119, 3407, 408, 26489, 4139, 41335, 3172, 10893, 12019, 725, 15547, 2973, 249, 725, 16645, 10396, 122, 725, 7509, 10086, 1955, 17640, 38042, 3359, 1511, 10, 2544, 41335, 2359, 5742, 2321, 4837, 11679, 408, 25942, 17955, 568, 204, 5335, 725, 16392, 4068, 568, 46166, 20171, 31431, 4068, 408, 9632, 17571, 11032, 34139, 408, 31431, 4709, 1951, 568, 45803, 20281, 31076, 16354, 27658, 17171, 4684, 408, 4129, 2110, 4129, 11032, 1843, 568, 20985, 101, 31431, 1811, 12525, 1398, 1262, 1401, 6633, 16761, 4345, 13816, 17171, 4294, 12990, 408, 2014, 9942, 45031, 35136, 568, 20985, 102, 8915, 22696, 34403, 408, 38626, 24736, 8331, 12990, 725, 7509, 11156, 253, 725, 47639, 1955, 568, 204, 31431, 4068, 1984, 204, 8297, 27658, 20371, 4565, 408, 1951, 11042, 39098, 27204, 14136, 408, 13573, 11032, 2359, 1251, 408, 7044, 27658, 9942, 31431, 1345, 11017, 4709, 1951, 408, 40243, 2235, 2321, 1909, 18, 1036, 43176, 5110, 408, 11999, 31431, 28778, 725, 11461, 30463, 408, 2823, 942, 38548, 17571, 11032, 408, 9942, 2321, 26073, 2148, 7780, 921, 4049, 43176, 5110, 8778, 408, 2891, 21558, 1811, 4250, 1398, 408, 1345, 21855, 2235, 5110, 9942, 2321, 408, 1254, 10427, 9942, 2321, 2321, 4837, 568, 7005, 2967, 12165, 8846, 12271, 725, 6806, 7225, 12271, 1227, 15898, 12271, 568, 204, 2891, 35225, 17571, 11032, 4323, 725, 31431, 34634, 2860, 9736, 13332, 16270, 11928, 43920, 4250, 2773, 725, 6128, 18791, 2773, 1955, 16233, 27657, 21558, 1398, 2370, 11153, 4139, 4293, 119, 2359, 2860, 24108, 4139, 4293, 119, 408, 2823, 8915, 19581, 408, 10732, 8342, 8297, 27658, 16135, 23973, 2889, 257, 408, 4294, 4146, 1524, 21186, 6760, 408, 17171, 4684, 2823, 3841, 21186, 1390, 30452, 1398, 408, 14205, 9510, 11032, 13561, 408, 1345, 11562, 4081, 2321, 2860, 2110, 4129, 11032, 1843, 4129, 11032, 568, 204, 921, 8297, 27658, 27848, 460, 16425, 1191, 2780, 8342, 2321, 2006, 1191, 24615, 7191, 17717, 21916, 11870, 1603, 18208, 2321, 2382, 8297, 27658, 27848, 6472, 14269, 14168, 8418, 408, 4525, 2321, 11870, 460, 20371, 15891, 20889, 1550, 7780, 1227, 16841, 27848, 2321, 18897, 37327, 568, 204, 2677, 22, 2653, 31606, 19193, 2337, 1984, 7986, 7371, 7931, 921, 27658, 2587, 4224, 5677, 12665, 3590, 408, 13643, 25415, 22293, 9942, 2321, 408, 2499, 9239, 10794, 8766, 48201, 725, 17730, 5552, 48201, 1955, 4241, 3860, 242, 2321, 11870, 6522, 1579, 2382, 6107, 408, 28229, 5727, 1909, 3912, 18889, 1036, 3912, 408, 11012, 6227, 19193, 1263, 106, 10368, 408, 22897, 1773, 19193, 2739, 9942, 7386, 568, 9942, 7386, 3274, 103, 12980, 39001, 408, 1432, 9487, 31606, 19193, 568, 204, 2677, 23, 2653, 24943, 2739, 2337, 1984, 6208, 115, 725, 16869, 29229, 1955, 17171, 10794, 20071, 408, 33985, 7897, 12980, 4232, 8936, 1946, 9487, 24943, 2739, 9942, 1191, 30628, 5062, 3860, 242, 1367, 20371, 921, 7386, 12980, 1191, 408, 10794, 1367, 22863, 17171, 2321, 1999, 568, 204, 2677, 24, 2653, 8350, 31606, 2337, 1984, 3860, 261, 4747, 725, 31501, 34467, 1955, 28010, 2321, 20071, 2370, 6128, 5062, 8350, 31606, 408, 8350, 31606, 1398, 408, 2370, 3601, 14515, 9230, 10794, 2338, 16856, 6110, 27657, 27538, 1263, 106, 15337, 408, 8350, 31606, 13491, 30675, 9942, 38169, 25415, 33300, 3541, 408, 5659, 1263, 106, 15337, 5062, 2371, 2739, 2321, 921, 1003, 3912, 18889, 1036, 3912, 9863, 408, 12319, 30997, 2642, 7813, 39918, 408, 4126, 26257, 11017, 2188, 3217, 1719, 4003, 119, 17486, 568, 204, 2677, 25, 2653, 29278, 2337, 1984, 6429, 17171, 2801, 241, 1955, 17171, 10794, 20071, 408, 36846, 4485, 23398, 47285, 4472, 408, 26489, 921, 9942, 1191, 1262, 22313, 1832, 129, 725, 11870, 34738, 1955, 11613, 831, 7217, 6796, 408, 3590, 29278, 568, 204, 2677, 26, 2653, 8718, 2587, 2337, 1984, 13375, 11870, 460, 24615, 12431, 7452, 8718, 2587, 2337, 408, 6429, 942, 4076, 2359, 3274, 103, 12980, 460, 9942, 34403, 20195, 12924, 568, 8718, 2587, 1398, 2321, 2894, 7780, 921, 1909, 3912, 408, 4239, 2499, 13375, 11870, 3010, 127, 29442, 23078, 13397, 24521, 408, 4762, 2499, 13397, 7897, 460, 2912, 2094, 1985, 237, 18997, 408, 5227, 2912, 2094, 3362, 6110, 20665, 36996, 5545, 247, 14322, 568, 11012, 15122, 5727, 1003, 14557, 1638, 36996, 12577, 6110, 12147, 23266, 6888, 408, 2065, 36996, 23181, 20741, 1946, 8718, 2587, 568, 8718, 2587, 2359, 4126, 1833, 2117, 121, 2321, 1999, 48497, 22, 36966, 2677, 5759, 2494, 13349, 0, 647, 3805, 448, 1246, 204, 647, 1127, 204, 647, 2164, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 531, 17894, 1931, 532, 26981, 204, 531, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 4861, 204, 35761, 68, 8298, 7216, 68, 3778, 289, 388, 3189, 1963, 25679, 19, 41704, 19, 13942, 20, 7577, 7, 204, 47, 9667, 68, 8440, 68, 3778, 289, 388, 3189, 1963, 481, 18, 676, 18, 79, 863, 18, 2816, 19, 88, 24, 19, 36366, 19, 1453, 20, 47, 9667, 68, 17305, 20, 998, 19, 2079, 7, 204, 50, 27024, 68, 3637, 35774, 68, 3778, 289, 388, 3189, 1963, 2816, 18, 20892, 19, 1453, 20, 25679, 11291, 204, 12087, 2267, 40008, 7190, 62, 68, 3778, 289, 388, 3189, 1963, 19680, 340, 6531, 19, 354, 405, 19, 13942, 20, 1803, 20, 1608, 20, 45691, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20, 59, 21776, 7, 204, 204, 461, 5345, 68, 6964, 374, 393, 26981, 31, 204, 264, 320, 204, 264, 977, 275, 5214, 19, 204, 204, 264, 475, 31, 204, 268, 26981, 31, 334, 9810, 5214, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 440, 45832, 204, 264, 11216, 68, 546, 289, 2552, 14772, 68, 546, 597, 45832, 1528, 9310, 9447, 204, 264, 407, 26981, 611, 10082, 491, 930, 14772, 68, 546, 17, 21572, 34, 1975, 14, 204, 204, 461, 11088, 68, 41704, 68, 7577, 13, 6964, 31, 26981, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 14475, 4240, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 31171, 329, 10313, 302, 275, 4240, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 14475, 4240, 1274, 204, 264, 5214, 19, 15440, 13, 35761, 68, 8298, 7216, 68, 3778, 14, 204, 264, 314, 763, 275, 2966, 1666, 302, 275, 1472, 204, 264, 300, 21785, 68, 7577, 68, 2079, 289, 5214, 19, 2079, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 300, 21785, 68, 7577, 68, 11880, 289, 10650, 13, 41704, 68, 7577, 68, 2079, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 1752, 275, 1043, 3062, 204, 264, 7192, 289, 300, 21785, 68, 7577, 68, 11880, 19, 2269, 68, 668, 611, 612, 491, 850, 20121, 23340, 9520, 21, 66, 204, 264, 314, 1986, 275, 31171, 329, 10313, 204, 264, 31171, 289, 7192, 19, 2269, 13, 676, 20121, 2387, 68, 1778, 3930, 492, 204, 264, 10313, 289, 7192, 19, 2269, 13, 676, 20121, 5982, 68, 356, 12388, 68, 3825, 3930, 492, 204, 264, 407, 2832, 42108, 559, 31171, 17, 388, 18934, 559, 10313, 98, 204, 204, 461, 11088, 68, 79, 863, 68, 935, 13, 6964, 31, 26981, 14, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 871, 9667, 752, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1274, 302, 275, 871, 9667, 752, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 871, 9667, 752, 1274, 204, 264, 5214, 19, 15440, 13, 47, 9667, 68, 8440, 68, 3778, 14, 204, 264, 314, 763, 275, 2966, 1666, 302, 275, 1472, 204, 264, 781, 863, 68, 935, 68, 2079, 289, 5214, 19, 2079, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 781, 863, 68, 935, 68, 11880, 289, 10650, 13, 79, 863, 68, 935, 68, 2079, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 1752, 275, 20682, 752, 204, 264, 752, 289, 781, 863, 68, 935, 68, 11880, 19, 2269, 68, 668, 611, 2952, 491, 850, 20121, 4603, 9520, 21, 66, 204, 264, 20682, 68, 935, 289, 752, 19, 2269, 611, 3371, 491, 850, 20121, 4603, 935, 41331, 18, 266, 534, 204, 264, 314, 1986, 275, 752, 1274, 204, 264, 20682, 68, 935, 68, 805, 289, 20682, 68, 935, 19, 11163, 19, 505, 611, 6422, 491, 443, 14, 204, 264, 4151, 68, 935, 68, 805, 289, 283, 1954, 47, 9667, 68, 8440, 68, 3778, 8246, 42282, 68, 935, 68, 805, 2495, 204, 264, 407, 4151, 68, 935, 68, 805, 204, 204, 461, 11088, 68, 25679, 68, 20892, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 13873, 10942, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2966, 1435, 302, 13873, 10942, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 13873, 10942, 1435, 497, 275, 1274, 204, 264, 28467, 68, 20892, 68, 1867, 289, 1246, 19, 976, 68, 2079, 13, 50, 27024, 68, 3637, 35774, 68, 3778, 14, 204, 264, 314, 2208, 275, 1435, 311, 273, 3135, 204, 264, 28467, 68, 20892, 68, 1695, 289, 28467, 68, 20892, 68, 1867, 64, 21, 66, 204, 264, 314, 2208, 275, 3135, 311, 2966, 204, 264, 28467, 68, 2079, 289, 28467, 68, 20892, 68, 1695, 19, 633, 68, 2079, 374, 204, 264, 314, 3182, 9733, 2724, 204, 264, 28467, 68, 2079, 289, 28467, 68, 2079, 19, 3834, 7708, 83, 491, 8930, 204, 264, 407, 28467, 68, 2079, 204, 204, 461, 11088, 68, 19680, 340, 6531, 374, 393, 783, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18640, 42373, 340, 6531, 2388, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 64, 325, 17, 394, 2440, 332, 458, 302, 5239, 1174, 275, 1724, 329, 1274, 302, 848, 752, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 752, 5448, 204, 264, 29788, 340, 6531, 68, 935, 68, 3968, 289, 1306, 204, 264, 314, 968, 275, 5448, 311, 11088, 204, 264, 14360, 289, 551, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 577, 793, 68, 6022, 15508, 360, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 3078, 3554, 354, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 28160, 1257, 671, 2024, 612, 68, 278, 37678, 528, 204, 268, 283, 1954, 12087, 2267, 40008, 7190, 62, 68, 3778, 5865, 2018, 1644, 360, 68, 11393, 68, 278, 37678, 7, 204, 264, 2437, 204, 264, 314, 18640, 848, 1274, 204, 264, 348, 1779, 292, 14360, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 5804, 289, 10650, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 268, 1563, 289, 5804, 19, 2269, 68, 668, 611, 2952, 491, 850, 20121, 8806, 534, 204, 268, 314, 1986, 275, 1724, 329, 752, 1274, 204, 268, 348, 722, 292, 1563, 31, 204, 305, 1724, 289, 722, 19, 2269, 611, 77, 23, 491, 850, 20121, 1778, 3930, 492, 204, 305, 3840, 68, 805, 289, 722, 19, 2269, 611, 3371, 491, 850, 20121, 10502, 18, 935, 534, 204, 305, 3840, 68, 805, 289, 3840, 68, 805, 19, 11163, 19, 505, 611, 6422, 491, 443, 14, 204, 305, 3840, 68, 805, 289, 283, 7, 3189, 1963, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19680, 340, 6531, 19, 354, 405, 19, 13942, 96, 3371, 68, 805, 2495, 204, 305, 29788, 340, 6531, 68, 935, 68, 3968, 19, 1223, 7075, 1778, 559, 1724, 17, 388, 3371, 68, 805, 559, 3840, 68, 805, 1937, 204, 264, 407, 29788, 340, 6531, 68, 935, 68, 3968, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 18044, 13873, 424, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 204, 264, 5214, 289, 5345, 68, 6964, 374, 204, 264, 314, 18640, 14475, 4240, 204, 264, 300, 21785, 68, 7577, 289, 11088, 68, 41704, 68, 7577, 13, 6964, 14, 204, 264, 314, 18640, 871, 9667, 752, 204, 264, 4151, 68, 935, 68, 805, 289, 11088, 68, 79, 863, 68, 935, 13, 6964, 14, 204, 264, 314, 18640, 13873, 10942, 204, 264, 28467, 68, 2079, 289, 11088, 68, 25679, 68, 20892, 374, 204, 264, 314, 18640, 42373, 340, 6531, 2388, 204, 264, 29788, 340, 6531, 68, 935, 68, 3968, 289, 11088, 68, 19680, 340, 6531, 374, 204, 264, 314, 15655, 275, 5214, 204, 264, 5214, 19, 8289, 374, 204, 264, 314, 455, 275, 18044, 424, 204, 264, 407, 463, 204, 268, 388, 42108, 559, 300, 21785, 68, 7577, 1166, 42108, 2869, 204, 268, 388, 18934, 559, 300, 21785, 68, 7577, 1166, 18934, 2869, 204, 268, 388, 8947, 68, 935, 68, 805, 559, 4151, 68, 935, 68, 805, 17, 204, 268, 388, 25679, 68, 2079, 559, 28467, 68, 2079, 17, 204, 268, 388, 19680, 340, 6531, 68, 935, 68, 3968, 559, 29788, 340, 6531, 68, 935, 68, 3968, 204, 264, 1211, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 28467, 68, 481, 289, 11088, 68, 25679, 68, 481, 374, 204, 264, 456, 13, 25679, 68, 481, 14, 204, 0, 647, 304, 204, 531, 1804, 532, 1804, 204, 531, 1692, 19, 3766, 532, 4596, 1921, 3648, 204, 531, 1692, 19, 7641, 532, 1540, 204, 531, 10275, 532, 20737, 17, 23157, 204, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 10890, 532, 46475, 29051, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 1996, 532, 28797, 204, 531, 3226, 68, 28446, 375, 68, 1234, 19, 39824, 532, 8187, 16396, 7531, 13109, 204, 531, 11878, 40574, 19, 7602, 68, 2201, 532, 1967, 68, 492, 68, 633, 68, 14524, 204, 531, 11878, 40574, 19, 4478, 532, 30309, 15275, 204, 204, 204, 676, 26795, 1816, 40, 7109, 55, 1500, 13109, 13, 16693, 16396, 7531, 13109, 330, 204, 264, 320, 204, 264, 332, 8917, 348, 20259, 20123, 497, 275, 26795, 1816, 14911, 16556, 15268, 19, 204, 264, 320, 204, 204, 264, 588, 289, 388, 934, 87, 68, 72, 7109, 68, 40400, 7, 204, 264, 13478, 289, 388, 38, 80, 1816, 14911, 16556, 15268, 7, 204, 264, 8486, 289, 388, 38909, 20, 10765, 35849, 7, 204, 264, 1012, 68, 3968, 289, 551, 204, 268, 388, 3189, 1963, 5419, 18, 28446, 375, 18, 30397, 18, 17630, 19, 88, 24, 19, 36366, 19, 1453, 20, 934, 87, 68, 72, 7109, 68, 40400, 20, 12142, 19, 547, 81, 7, 226, 314, 38810, 204, 264, 2437, 204, 264, 2852, 289, 463, 204, 268, 388, 417, 559, 388, 38, 80, 1816, 8187, 13631, 17, 28797, 14744, 368, 528, 204, 268, 388, 2820, 559, 388, 33566, 387, 9963, 15725, 17, 26795, 1816, 41323, 10405, 39336, 528, 204, 264, 1211, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 14, 393, 28797, 31, 204, 268, 320, 204, 268, 2735, 275, 958, 329, 4353, 273, 28797, 1184, 19, 204, 204, 268, 457, 31, 204, 305, 958, 31, 334, 958, 726, 497, 275, 3426, 824, 19, 204, 204, 268, 9112, 31, 204, 305, 28797, 31, 332, 28797, 1184, 3634, 497, 275, 958, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 1692, 943, 497, 275, 958, 2484, 204, 268, 5530, 289, 4596, 1921, 3648, 13, 7641, 34, 2305, 789, 1703, 3881, 13, 1935, 19, 3825, 14, 204, 204, 268, 314, 1986, 27046, 497, 275, 1692, 943, 204, 268, 27046, 289, 458, 13, 5000, 19, 2062, 68, 35497, 1447, 204, 204, 268, 314, 4863, 27046, 311, 1698, 2255, 7956, 88, 204, 268, 11878, 68, 35497, 289, 551, 70, 348, 273, 292, 27046, 397, 273, 19, 505, 68, 2387, 68, 932, 374, 564, 388, 5580, 20, 7129, 1339, 204, 204, 268, 314, 828, 273, 7956, 14200, 353, 1193, 17, 2252, 1163, 1068, 32, 2130, 17, 2252, 275, 1692, 1068, 204, 268, 397, 11878, 68, 35497, 31, 204, 305, 7058, 68, 492, 289, 370, 806, 1703, 68, 7129, 68, 492, 13, 7129, 68, 35497, 64, 21, 1664, 505, 68, 8101, 13, 5286, 34, 1021, 602, 204, 268, 902, 31, 204, 305, 7058, 68, 492, 289, 370, 806, 1703, 68, 2302, 68, 492, 13, 5000, 14, 204, 204, 268, 314, 7000, 273, 28797, 1184, 3634, 497, 275, 7058, 1068, 204, 268, 4353, 370, 806, 1703, 68, 7682, 13, 7682, 68, 492, 14, 204, 204, 264, 436, 906, 1703, 68, 7129, 68, 492, 13, 327, 17, 11878, 68, 3881, 31, 3154, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2735, 275, 1068, 497, 273, 7956, 14200, 19, 204, 204, 268, 457, 31, 204, 305, 11878, 68, 3881, 31, 334, 3154, 302, 275, 7956, 14200, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3634, 1068, 497, 275, 7956, 14200, 19, 204, 268, 320, 204, 268, 314, 6153, 5328, 2072, 348, 7956, 1068, 13348, 204, 268, 5328, 68, 2645, 289, 30309, 15275, 13, 1054, 68, 18811, 34, 21, 19, 22, 14, 204, 204, 268, 314, 1986, 1068, 497, 275, 7956, 14200, 204, 268, 919, 68, 1031, 289, 23157, 374, 204, 268, 1967, 68, 492, 68, 633, 68, 14524, 13, 26217, 13, 7129, 68, 3881, 659, 919, 68, 1031, 17, 5088, 2645, 34, 4478, 68, 2645, 14, 204, 204, 268, 314, 8414, 329, 407, 275, 4989, 1068, 204, 268, 407, 304, 19, 1509, 13, 87, 7979, 88, 24053, 388, 6277, 919, 68, 1031, 19, 27528, 13725, 2892, 374, 204, 204, 264, 436, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 906, 1703, 68, 2302, 68, 492, 13, 327, 17, 5530, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2735, 275, 1068, 497, 437, 1692, 943, 19, 204, 204, 268, 457, 31, 204, 305, 5530, 31, 334, 1692, 943, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3634, 1068, 497, 275, 1692, 943, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 782, 311, 1640, 275, 1692, 1068, 204, 268, 1666, 289, 3026, 204, 204, 268, 314, 1861, 1048, 275, 1692, 943, 3576, 204, 268, 348, 1085, 292, 5530, 19, 2062, 68, 6719, 1293, 204, 305, 314, 828, 275, 1085, 353, 273, 1658, 514, 943, 17, 13767, 1048, 1163, 860, 18, 6719, 204, 305, 397, 1085, 19, 505, 68, 2387, 68, 23562, 1357, 374, 564, 388, 37681, 559, 204, 485, 348, 860, 68, 1819, 292, 1085, 19, 505, 68, 8101, 1293, 204, 895, 314, 828, 273, 860, 18, 1819, 353, 273, 1068, 943, 17, 1967, 1163, 1666, 204, 895, 397, 860, 68, 1819, 19, 505, 68, 2387, 68, 23562, 1357, 374, 564, 388, 492, 559, 204, 2058, 1666, 289, 860, 68, 1819, 19, 505, 68, 2387, 374, 204, 2058, 2280, 204, 204, 268, 314, 455, 275, 4989, 1692, 1068, 204, 268, 407, 1666, 204, 204, 264, 436, 906, 1703, 68, 7682, 13, 327, 17, 7058, 31, 394, 14, 393, 28797, 31, 204, 268, 320, 204, 268, 2735, 273, 28797, 1184, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 28797, 31, 332, 28797, 1184, 3634, 497, 275, 7058, 1068, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 1012, 1804, 497, 275, 7058, 1068, 204, 268, 1012, 289, 370, 806, 1703, 68, 1530, 13, 7682, 14, 204, 204, 268, 314, 828, 275, 1012, 1804, 353, 508, 1193, 17, 407, 443, 204, 268, 397, 508, 1012, 31, 204, 305, 407, 204, 204, 268, 314, 666, 273, 717, 28797, 1184, 204, 268, 9328, 289, 28797, 13, 204, 305, 1724, 1022, 40, 7109, 16556, 15268, 528, 204, 305, 2342, 22278, 204, 305, 6980, 34, 26490, 29051, 17, 204, 305, 1012, 34, 1530, 17, 204, 305, 1136, 34, 3170, 17, 204, 305, 830, 68, 2124, 34, 1975, 17, 204, 305, 690, 68, 12100, 1022, 30008, 3695, 440, 13478, 528, 204, 305, 2852, 34, 327, 806, 1703, 68, 3366, 13, 7682, 659, 204, 305, 5444, 27875, 204, 305, 2139, 34, 327, 19, 1530, 68, 3968, 64, 21, 648, 204, 268, 1179, 204, 204, 268, 314, 1359, 275, 9328, 1714, 329, 1222, 204, 268, 9328, 1166, 1835, 1339, 289, 370, 806, 505, 68, 1835, 13, 24187, 17, 1068, 34, 7682, 14, 204, 268, 9328, 1166, 359, 1339, 289, 370, 806, 505, 68, 359, 13, 24187, 14, 204, 204, 268, 314, 455, 275, 3634, 28797, 1184, 204, 268, 407, 9328, 204, 204, 264, 436, 906, 1703, 68, 1530, 13, 327, 17, 7058, 31, 394, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 2735, 275, 1012, 1804, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3634, 1012, 1804, 19, 204, 268, 320, 204, 268, 314, 1986, 1489, 3157, 497, 275, 7058, 1068, 204, 268, 1489, 68, 4648, 289, 370, 806, 5184, 68, 672, 68, 4648, 13, 7682, 14, 204, 204, 268, 314, 828, 1236, 1489, 3157, 529, 1193, 17, 407, 443, 204, 268, 397, 508, 1489, 68, 4648, 31, 204, 305, 407, 204, 204, 268, 314, 763, 275, 6826, 1489, 782, 204, 268, 1489, 68, 1031, 289, 370, 806, 505, 68, 24808, 68, 672, 68, 1031, 13, 672, 68, 4648, 14, 204, 204, 268, 314, 1986, 275, 690, 782, 497, 275, 7058, 1068, 204, 268, 690, 68, 1031, 289, 370, 806, 5184, 68, 834, 68, 1031, 13, 7682, 14, 204, 204, 268, 314, 2735, 275, 1804, 497, 275, 1489, 329, 690, 3157, 204, 268, 407, 370, 806, 1703, 68, 2664, 13, 672, 68, 1031, 17, 690, 68, 1031, 14, 204, 204, 264, 436, 906, 5184, 68, 672, 68, 4648, 13, 327, 17, 7058, 31, 394, 14, 393, 458, 31, 204, 268, 320, 204, 268, 1986, 1489, 3157, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 4989, 1489, 3157, 19, 204, 268, 320, 204, 268, 314, 1986, 830, 1489, 3157, 497, 275, 7058, 1068, 204, 268, 830, 68, 672, 68, 4648, 289, 304, 19, 12624, 13, 87, 15394, 38, 18, 63, 1799, 70, 18, 95, 13110, 23, 17, 29, 98, 688, 73, 96, 22, 17, 23, 1522, 36, 688, 73, 96, 25, 7068, 7058, 14, 204, 204, 268, 314, 1986, 1489, 3157, 496, 529, 508, 8367, 560, 388, 37165, 7, 204, 268, 1489, 68, 4648, 289, 304, 19, 12624, 13, 87, 15394, 38, 18, 63, 1799, 70, 18, 95, 13110, 23, 17, 29, 98, 688, 73, 96, 22, 17, 23, 1522, 36, 688, 73, 96, 25, 7293, 36, 6, 32089, 11541, 7058, 14, 204, 204, 268, 314, 455, 275, 1489, 3157, 496, 529, 508, 8367, 560, 388, 37165, 528, 521, 830, 1489, 3157, 397, 11077, 529, 1193, 204, 268, 407, 1489, 68, 4648, 397, 1489, 68, 4648, 902, 830, 68, 672, 68, 4648, 204, 204, 264, 436, 906, 505, 68, 24808, 68, 672, 68, 1031, 13, 327, 17, 1489, 68, 4648, 31, 458, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 6826, 1489, 782, 497, 275, 800, 458, 302, 1489, 3157, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 68, 4648, 31, 332, 458, 302, 1489, 3157, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 6826, 1489, 782, 19, 204, 268, 320, 204, 268, 314, 828, 1422, 353, 1698, 1051, 1489, 782, 17, 407, 490, 204, 268, 397, 1245, 13, 672, 68, 4648, 14, 564, 368, 31, 204, 305, 407, 1489, 68, 4648, 64, 21, 66, 204, 204, 268, 314, 828, 1422, 529, 970, 1489, 3157, 17, 407, 275, 1350, 1051, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 397, 1245, 13, 672, 68, 4648, 14, 564, 435, 31, 204, 305, 407, 1489, 68, 4648, 64, 22, 66, 204, 204, 268, 314, 828, 1422, 529, 1236, 1489, 3157, 17, 407, 437, 1392, 782, 204, 268, 407, 3026, 204, 204, 264, 436, 906, 5184, 68, 834, 68, 1031, 13, 327, 17, 7058, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 1986, 275, 690, 782, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 4989, 690, 782, 19, 204, 268, 320, 204, 268, 314, 1986, 690, 3157, 497, 275, 7058, 1068, 204, 268, 690, 68, 4648, 289, 551, 204, 305, 297, 64, 21, 66, 204, 305, 348, 297, 292, 304, 19, 12624, 13, 87, 7, 3453, 73, 96, 22, 17, 23, 7293, 8563, 73, 96, 23, 1937, 551, 784, 82, 24503, 13110, 23, 17, 25, 1937, 528, 7058, 17, 8725, 34, 272, 19, 46, 14, 204, 268, 2437, 204, 204, 268, 314, 828, 273, 690, 782, 353, 1193, 17, 407, 490, 32, 2130, 17, 407, 273, 1540, 690, 782, 204, 268, 407, 690, 68, 4648, 64, 21, 66, 397, 690, 68, 4648, 902, 388, 1258, 31, 473, 3315, 7, 204, 204, 264, 436, 906, 1703, 68, 2664, 13, 327, 17, 1489, 68, 1031, 31, 394, 17, 690, 68, 1031, 31, 394, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 2735, 275, 1804, 497, 275, 800, 1489, 329, 690, 3157, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 68, 1031, 31, 334, 1489, 782, 19, 204, 305, 690, 68, 1031, 31, 334, 690, 782, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3634, 1804, 19, 204, 268, 320, 204, 268, 314, 6153, 275, 1804, 1883, 204, 268, 7357, 68, 18247, 289, 13057, 39, 1564, 73, 1564, 62, 10, 46, 6212, 50, 1564, 85, 7, 204, 204, 268, 314, 828, 275, 690, 782, 1583, 508, 918, 273, 10550, 17, 7023, 275, 1804, 1883, 204, 268, 397, 23454, 7, 508, 292, 690, 68, 1031, 31, 204, 305, 7357, 68, 18247, 289, 13057, 39, 1564, 73, 1564, 62, 10, 46, 1564, 85, 7, 204, 204, 268, 314, 2735, 275, 1804, 497, 275, 1489, 329, 690, 3157, 204, 268, 407, 1804, 19, 12903, 13, 672, 68, 1031, 19, 3834, 48650, 11070, 465, 690, 68, 1031, 17, 7357, 68, 18247, 14, 204, 204, 264, 436, 906, 1703, 68, 3366, 13, 327, 17, 7058, 31, 394, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 2735, 275, 2852, 497, 275, 800, 7058, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 7058, 31, 334, 7058, 1068, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 334, 3634, 2852, 19, 204, 268, 320, 204, 268, 314, 1986, 2852, 3157, 497, 275, 7058, 1068, 204, 268, 2852, 68, 655, 289, 304, 19, 12624, 13, 87, 7979, 73, 96, 23, 17, 26, 98, 551, 38, 18, 63, 1799, 38, 18, 34762, 18, 95, 65, 73, 65, 2458, 2437, 96, 1003, 17, 1719, 20637, 65, 73, 96, 26, 7068, 7058, 14, 204, 204, 268, 314, 828, 273, 2852, 782, 353, 1193, 329, 490, 1583, 508, 2216, 275, 1540, 2852, 17, 407, 490, 204, 268, 397, 2852, 68, 655, 329, 388, 33566, 7, 508, 292, 2852, 68, 655, 64, 21, 744, 204, 305, 407, 463, 204, 485, 388, 417, 559, 8897, 204, 485, 388, 2820, 559, 2852, 68, 655, 64, 21, 648, 204, 305, 1211, 204, 204, 268, 314, 9444, 17, 407, 275, 1540, 2852, 204, 268, 407, 370, 19, 3366, 204, 0, 461, 636, 68, 6418, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 273, 2140, 1534, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 332, 2140, 1534, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 700, 289, 421, 13, 768, 13, 4202, 602, 204, 305, 397, 700, 2186, 500, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 2140, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 700, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 461, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 1205, 31, 421, 17, 2198, 31, 421, 17, 1853, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 3351, 302, 273, 13737, 18909, 19, 204, 204, 264, 457, 31, 204, 268, 1277, 322, 339, 330, 334, 1277, 302, 275, 18909, 19, 204, 268, 2198, 322, 339, 330, 334, 2198, 302, 275, 18909, 19, 204, 268, 1853, 322, 339, 330, 334, 1853, 302, 275, 18909, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 3351, 302, 275, 18909, 19, 204, 264, 320, 204, 264, 314, 888, 275, 3351, 560, 9137, 275, 1277, 17, 2198, 17, 329, 1853, 204, 264, 407, 1277, 540, 2198, 540, 1853, 204, 204, 461, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 13, 4202, 31, 394, 14, 393, 927, 64, 339, 17, 421, 17, 421, 744, 204, 264, 320, 204, 264, 763, 275, 5150, 302, 273, 13737, 18909, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 17, 421, 744, 332, 927, 1174, 275, 1277, 17, 2198, 17, 329, 1853, 302, 275, 18909, 19, 204, 264, 320, 204, 264, 314, 763, 275, 5150, 302, 275, 18909, 204, 264, 1277, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 1277, 31, 2810, 204, 264, 2198, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 2198, 31, 2810, 204, 264, 1853, 289, 636, 68, 6418, 68, 4649, 68, 768, 13, 75, 1954, 4202, 98, 1853, 31, 2810, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 407, 1277, 17, 2198, 17, 1853, 204, 204, 461, 618, 68, 5980, 13, 2670, 2643, 22, 68, 1205, 31, 421, 17, 18909, 22, 68, 2435, 31, 421, 17, 18909, 22, 68, 2757, 31, 421, 17, 716, 485, 18909, 23, 68, 1205, 31, 421, 17, 18909, 23, 68, 2435, 31, 421, 17, 18909, 23, 68, 2757, 31, 421, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 19, 204, 204, 264, 457, 31, 204, 268, 18909, 22, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1043, 18909, 19, 204, 268, 18909, 22, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 1043, 18909, 19, 204, 268, 18909, 22, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 1043, 18909, 19, 204, 268, 18909, 23, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1350, 18909, 19, 204, 268, 18909, 23, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 1350, 18909, 19, 204, 268, 18909, 23, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 1350, 18909, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 204, 264, 407, 322, 2670, 2643, 22, 68, 1205, 3721, 18909, 23, 68, 1205, 329, 716, 305, 18909, 22, 68, 2435, 3721, 18909, 23, 68, 2435, 329, 716, 305, 18909, 22, 68, 2757, 3721, 18909, 23, 68, 2757, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 763, 275, 5150, 302, 275, 2813, 9245, 204, 264, 18909, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 289, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 499, 2101, 275, 1043, 18909, 677, 431, 204, 264, 18909, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 289, 636, 68, 966, 6898, 68, 2670, 2643, 68, 8920, 499, 2101, 275, 1350, 18909, 677, 431, 204, 204, 264, 314, 778, 397, 275, 1043, 18909, 618, 918, 275, 1350, 18909, 204, 264, 397, 618, 68, 5980, 13, 2670, 2643, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 17, 716, 13429, 18909, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 330, 204, 268, 314, 888, 275, 3351, 302, 848, 18909, 204, 268, 18909, 22, 68, 6811, 289, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 2670, 2643, 22, 68, 1205, 17, 18909, 22, 68, 2435, 17, 18909, 22, 68, 2757, 14, 204, 268, 18909, 23, 68, 6811, 289, 949, 68, 966, 6898, 68, 2670, 2643, 68, 6811, 13, 2670, 2643, 23, 68, 1205, 17, 18909, 23, 68, 2435, 17, 18909, 23, 68, 2757, 14, 204, 822, 268, 314, 888, 329, 456, 275, 542, 302, 2666, 275, 1350, 18909, 618, 4185, 292, 275, 1043, 18909, 204, 268, 456, 13, 2670, 2643, 22, 68, 6811, 3166, 18909, 23, 68, 6811, 14, 204, 264, 902, 31, 204, 268, 456, 499, 21, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 3728, 353, 273, 33563, 703, 12303, 36, 204, 38, 16006, 5208, 353, 273, 3264, 18, 29527, 610, 18, 549, 7157, 302, 275, 12112, 19, 33563, 703, 8039, 618, 1340, 4522, 12112, 6427, 1330, 490, 353, 292, 1163, 4744, 17, 1901, 2577, 19303, 14113, 19, 763, 275, 10942, 1465, 16006, 14922, 19, 204, 43, 5369, 1235, 9289, 275, 11266, 348, 16006, 8887, 14452, 329, 1737, 348, 275, 1880, 1415, 5190, 16006, 14922, 19, 26375, 1425, 14217, 4982, 275, 6759, 496, 5190, 16006, 14922, 292, 275, 548, 19, 56, 2458, 1683, 275, 33563, 703, 12303, 26231, 24835, 5102, 322, 11351, 4688, 789, 204, 19670, 1605, 13868, 311, 1340, 872, 7324, 348, 1214, 16006, 5208, 19, 204, 18, 12647, 884, 89, 14709, 355, 44095, 608, 17, 26557, 1694, 17, 6273, 288, 521, 24280, 1683, 1214, 14898, 521, 523, 1214, 12112, 88, 523, 275, 2344, 302, 1214, 5962, 19, 15983, 9312, 2549, 2248, 719, 292, 437, 610, 18, 549, 19, 204, 18, 5486, 275, 8740, 2379, 397, 872, 874, 12112, 41583, 19, 3433, 1741, 1519, 311, 3074, 1182, 13253, 1194, 273, 4217, 16006, 5208, 19, 204, 18, 40267, 4948, 16006, 14922, 521, 874, 1475, 2312, 311, 275, 3466, 397, 2237, 19, 204, 18, 30916, 275, 26293, 397, 872, 874, 6015, 23941, 496, 1741, 1895, 490, 5027, 348, 872, 311, 4930, 719, 17, 17033, 1214, 14898, 17, 521, 5148, 1214, 12444, 19, 204, 2841, 529, 16965, 302, 34904, 1465, 16006, 8887, 19, 17450, 275, 10942, 311, 6156, 11067, 19, 204, 42308, 703, 8039, 529, 4275, 273, 16641, 348, 33563, 703, 8039, 204, 42308, 703, 8039, 6626, 437, 752, 496, 5913, 275, 3758, 302, 5462, 329, 5043, 3714, 4789, 275, 3776, 302, 275, 2484, 19, 26375, 869, 1236, 6678, 311, 2886, 275, 13312, 496, 25557, 8039, 618, 4066, 16006, 14922, 329, 496, 25557, 12303, 618, 1020, 12112, 6427, 2181, 2518, 490, 618, 444, 7675, 560, 16006, 8887, 19, 204, 51, 7895, 280, 332, 48400, 2471, 529, 4275, 273, 3685, 2719, 347, 348, 33563, 703, 8039, 204, 51, 7895, 280, 31951, 316, 353, 273, 683, 292, 928, 273, 12112, 11392, 353, 1376, 311, 5495, 10142, 497, 273, 10506, 884, 88, 300, 7895, 280, 311, 3645, 348, 17912, 329, 14963, 6427, 1399, 4207, 19, 26375, 869, 1236, 6678, 311, 2886, 13312, 496, 300, 7895, 280, 31951, 316, 4394, 17, 1330, 1376, 523, 1017, 3346, 17, 529, 437, 6639, 21602, 5910, 348, 1169, 7155, 2407, 17, 2864, 275, 7151, 302, 12112, 6427, 521, 904, 12112, 4614, 19, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 461, 881, 68, 1155, 391, 95, 68, 269, 945, 68, 1993, 1293, 204, 264, 320, 204, 264, 5276, 273, 717, 1242, 379, 1155, 391, 95, 68, 269, 945, 12, 311, 275, 379, 6590, 391, 95, 12, 570, 19, 204, 204, 264, 1058, 1242, 353, 273, 8620, 896, 496, 13165, 275, 379, 6590, 391, 95, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 570, 5398, 17, 716, 264, 11439, 348, 370, 18, 272, 19842, 8160, 19, 204, 264, 320, 204, 264, 314, 968, 275, 5420, 6127, 204, 264, 6127, 289, 551, 204, 268, 2448, 285, 3762, 2286, 2925, 25113, 491, 379, 11754, 68, 3474, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 5420, 2758, 204, 264, 2758, 289, 551, 204, 268, 314, 1255, 273, 717, 1242, 379, 1155, 391, 95, 68, 269, 945, 12, 311, 275, 379, 6590, 391, 95, 12, 570, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 833, 1155, 391, 95, 491, 204, 305, 588, 833, 1155, 391, 95, 68, 269, 945, 491, 204, 305, 1242, 34, 1618, 19, 4483, 13, 204, 485, 3232, 68, 417, 833, 1155, 391, 95, 68, 269, 945, 491, 716, 485, 311, 833, 285, 3762, 2286, 2925, 25113, 19, 6590, 391, 95, 491, 716, 485, 4247, 34, 1021, 17, 716, 485, 3749, 34, 1021, 204, 305, 5334, 204, 268, 5334, 204, 264, 2437, 204, 204, 676, 5188, 391, 95, 11267, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 332, 5959, 1104, 5420, 496, 9321, 273, 717, 1242, 311, 275, 379, 6590, 391, 95, 12, 570, 19, 204, 264, 320, 204, 264, 6127, 289, 6127, 204, 264, 2758, 289, 2758, 204, 0, 531, 24368, 532, 24368, 448, 2777, 204, 531, 19709, 19, 25758, 68, 772, 532, 552, 35156, 3295, 204, 531, 19709, 19, 10890, 532, 871, 2313, 17, 332, 12374, 17, 6250, 62, 17, 871, 6217, 17, 871, 2959, 17, 650, 2213, 17, 5370, 40, 204, 531, 1804, 532, 1489, 204, 204, 676, 628, 43885, 347, 351, 45, 35156, 13, 45, 35156, 3295, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 275, 19709, 292, 628, 43885, 347, 351, 19, 204, 204, 264, 1532, 31, 204, 268, 3477, 322, 325, 330, 334, 3477, 1576, 348, 628, 43885, 347, 351, 19, 204, 268, 1540, 68, 6805, 322, 325, 330, 334, 1540, 3269, 348, 628, 43885, 347, 351, 19, 204, 268, 6300, 68, 18608, 322, 2644, 330, 332, 927, 302, 6300, 9351, 19, 204, 264, 320, 204, 204, 264, 3477, 289, 388, 6064, 7, 204, 264, 1540, 68, 6805, 289, 388, 301, 7, 204, 264, 6300, 68, 18608, 289, 4401, 278, 68, 3322, 528, 388, 301, 528, 388, 8349, 431, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 628, 43885, 347, 351, 16099, 850, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 31, 7618, 1906, 19, 204, 305, 930, 2251, 31, 14839, 1906, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 204, 264, 436, 906, 25264, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8401, 9289, 275, 16099, 458, 348, 275, 800, 1324, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 16836, 275, 19709, 19, 204, 268, 320, 204, 268, 2234, 48395, 25264, 13, 2873, 14, 204, 268, 370, 806, 826, 68, 16724, 68, 31511, 13, 2873, 14, 204, 268, 370, 806, 826, 68, 3334, 68, 31511, 13, 2873, 14, 204, 204, 264, 436, 906, 826, 68, 16724, 68, 31511, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 6768, 19709, 311, 275, 16099, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 881, 275, 19709, 19, 204, 268, 320, 204, 268, 314, 2991, 10504, 677, 8373, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 871, 2313, 17, 368, 2395, 289, 2777, 499, 38, 40985, 392, 347, 4158, 431, 204, 204, 268, 314, 18751, 33259, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 3528, 2395, 289, 2777, 499, 51, 19799, 2142, 17191, 431, 204, 204, 268, 314, 18751, 8373, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 2019, 2395, 289, 2777, 499, 41, 33927, 355, 43978, 22045, 431, 204, 204, 268, 314, 2991, 10504, 677, 33259, 19, 204, 268, 370, 64, 672, 13, 2873, 17, 5370, 40, 17, 7207, 2395, 289, 2777, 499, 43, 16857, 70, 355, 10480, 355, 332, 40985, 431, 204, 204, 264, 436, 906, 826, 68, 3334, 68, 31511, 13, 327, 17, 1324, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 1554, 19709, 311, 275, 16099, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1324, 322, 339, 330, 334, 1324, 348, 928, 311, 881, 275, 19709, 19, 204, 268, 320, 204, 268, 314, 19528, 302, 346, 1941, 4089, 19, 204, 268, 34482, 4089, 68, 1637, 2124, 289, 1489, 13, 2873, 17, 24623, 39, 17, 5254, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 72, 1941, 4089, 68, 1637, 2124, 66, 289, 2777, 499, 49, 23421, 355, 346, 1941, 70, 577, 431, 204, 204, 268, 314, 23709, 302, 346, 1941, 4089, 19, 204, 268, 34482, 4089, 68, 89, 18478, 289, 1489, 13, 2873, 17, 24623, 39, 17, 4662, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 72, 1941, 4089, 68, 89, 18478, 66, 289, 2777, 499, 37485, 301, 355, 346, 1941, 70, 577, 431, 204, 204, 268, 314, 7364, 817, 94, 26746, 19, 204, 268, 425, 817, 94, 68, 427, 20352, 289, 1489, 13, 2873, 17, 41660, 17, 7500, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 365, 817, 94, 68, 427, 20352, 66, 289, 2777, 499, 47, 347, 1405, 387, 38145, 431, 204, 204, 268, 314, 12886, 20314, 19, 204, 268, 3094, 68, 75, 16164, 289, 1489, 13, 2873, 17, 41660, 17, 2468, 14, 226, 314, 1058, 1489, 1741, 10140, 17, 2506, 974, 273, 4712, 311, 949, 490, 204, 268, 370, 64, 10227, 68, 75, 16164, 66, 289, 2777, 499, 26047, 1349, 301, 387, 38145, 431, 204, 204, 268, 314, 32475, 302, 27994, 19, 204, 268, 397, 1324, 3721, 1916, 1641, 31, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 370, 64, 672, 13, 2873, 17, 332, 12374, 17, 1433, 2395, 289, 2777, 499, 3753, 14675, 35205, 355, 5088, 592, 3693, 24856, 431, 204, 204, 268, 314, 9755, 26513, 677, 8373, 19, 204, 268, 397, 1324, 3721, 40252, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 6250, 62, 17, 368, 2395, 289, 2777, 499, 48417, 502, 817, 464, 6924, 4964, 5267, 79, 13436, 431, 204, 204, 268, 314, 20930, 302, 5403, 47687, 702, 19, 204, 268, 397, 1324, 3721, 33252, 521, 1916, 2500, 2186, 1324, 2186, 34623, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 6217, 17, 3528, 2395, 289, 2777, 499, 39, 4888, 351, 355, 5403, 47687, 702, 431, 204, 204, 268, 314, 27994, 8373, 19, 204, 268, 397, 1324, 3721, 1916, 1641, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 2959, 17, 720, 2395, 289, 2777, 499, 41, 33927, 355, 5088, 592, 3693, 24856, 431, 204, 204, 268, 314, 43974, 302, 34680, 23756, 467, 290, 19, 204, 268, 397, 1324, 3721, 34098, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 871, 2959, 17, 3528, 2395, 289, 2777, 499, 51, 4888, 37690, 355, 4590, 16725, 23756, 11863, 4415, 431, 204, 204, 268, 314, 8373, 302, 31419, 28811, 521, 41925, 8373, 19, 204, 268, 397, 1324, 3721, 44742, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 650, 2213, 17, 1598, 2395, 289, 2777, 499, 41, 33927, 355, 5088, 2315, 337, 24856, 3898, 11863, 2721, 70, 431, 397, 1324, 3721, 14565, 902, 2777, 499, 41, 33927, 355, 5088, 1393, 11840, 431, 204, 204, 268, 314, 28489, 552, 35156, 19, 204, 268, 397, 46417, 2186, 1324, 2186, 34623, 31, 204, 305, 370, 64, 672, 13, 2873, 17, 650, 2213, 17, 4662, 2395, 289, 2777, 499, 41, 33927, 37079, 17635, 5285, 495, 912, 14836, 431, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 376, 43885, 347, 351, 68, 31511, 289, 628, 43885, 347, 351, 45, 35156, 374, 204, 264, 348, 1489, 17, 588, 292, 2282, 13, 2553, 43977, 347, 351, 68, 31511, 19, 1996, 13077, 204, 268, 456, 13, 75, 1954, 672, 2829, 463, 417, 743, 204, 0, 647, 3363, 204, 531, 12202, 532, 9124, 17, 14484, 204, 531, 2573, 532, 5782, 204, 204, 8, 968, 3454, 204, 14059, 68, 6559, 289, 11818, 204, 14059, 68, 7645, 289, 8873, 204, 21037, 17302, 2613, 68, 27898, 289, 500, 19, 2300, 204, 19575, 68, 21037, 17302, 2613, 68, 27898, 289, 435, 19, 21, 204, 204, 676, 29851, 2191, 13, 5346, 330, 204, 264, 320, 5272, 275, 1187, 302, 7978, 1279, 204, 264, 29059, 289, 388, 1735, 7, 204, 264, 33627, 289, 388, 1633, 7, 204, 264, 29514, 289, 388, 8683, 7, 204, 204, 676, 5140, 13, 8927, 330, 204, 264, 320, 5272, 273, 1259, 1279, 204, 264, 1642, 9017, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 320, 11546, 88, 275, 1259, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 322, 9346, 19, 8939, 330, 334, 7959, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 676, 29851, 31, 204, 264, 320, 204, 264, 2646, 273, 7978, 1283, 970, 3584, 19, 204, 204, 264, 457, 31, 204, 268, 790, 68, 1512, 322, 5059, 330, 334, 790, 1259, 19, 204, 268, 7978, 68, 932, 322, 38984, 2191, 330, 334, 1187, 302, 7978, 19, 204, 268, 1419, 68, 1512, 322, 5059, 330, 334, 1419, 1259, 19, 204, 268, 1029, 68, 1512, 322, 5059, 330, 334, 1029, 1259, 19, 204, 268, 5401, 322, 996, 17, 1448, 330, 334, 5401, 302, 275, 7978, 19, 1243, 311, 35396, 17302, 2613, 68, 27898, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 790, 68, 1512, 31, 5140, 17, 7978, 68, 932, 31, 29851, 2191, 17, 1419, 68, 1512, 31, 5140, 17, 1029, 68, 1512, 31, 5140, 17, 5401, 31, 818, 289, 35396, 17302, 2613, 68, 27898, 330, 204, 268, 370, 19, 1976, 68, 1512, 289, 790, 68, 1512, 204, 268, 370, 19, 14619, 68, 932, 289, 7978, 68, 932, 204, 268, 370, 19, 3474, 68, 1512, 289, 1419, 68, 1512, 204, 268, 370, 19, 2170, 68, 1512, 289, 1029, 68, 1512, 204, 268, 370, 19, 7083, 289, 5401, 204, 268, 370, 19, 834, 289, 500, 204, 268, 370, 19, 9426, 22, 289, 3363, 19, 8939, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 268, 370, 19, 9426, 23, 289, 3363, 19, 8939, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 268, 370, 19, 3474, 68, 1512, 19, 3320, 13, 327, 19, 9426, 22, 14, 204, 268, 370, 19, 2170, 68, 1512, 19, 3320, 13, 327, 19, 9426, 23, 14, 204, 204, 264, 436, 1395, 13, 327, 17, 7357, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7357, 322, 996, 330, 334, 690, 13179, 3522, 275, 1673, 1395, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 7978, 690, 204, 268, 370, 19, 834, 1412, 7357, 204, 268, 314, 778, 397, 275, 7978, 353, 4151, 204, 268, 397, 370, 19, 834, 1323, 370, 19, 7083, 31, 204, 305, 314, 1716, 275, 790, 1259, 204, 305, 370, 19, 1976, 68, 1512, 289, 370, 19, 2170, 68, 1512, 204, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 322, 9346, 19, 8939, 330, 334, 7959, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 7959, 204, 268, 7959, 19, 5716, 1802, 21, 17, 500, 17, 500, 602, 204, 268, 314, 888, 275, 5634, 302, 275, 7978, 204, 268, 5634, 289, 370, 19, 834, 802, 370, 19, 7083, 204, 268, 610, 22, 289, 500, 204, 268, 469, 22, 289, 500, 204, 268, 610, 23, 289, 15412, 68, 6559, 204, 268, 469, 23, 289, 500, 204, 204, 268, 314, 1426, 1792, 7978, 3003, 204, 268, 397, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 12842, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 305, 314, 38288, 275, 1419, 1259, 311, 275, 1824, 204, 305, 610, 22, 289, 338, 22, 540, 5634, 540, 15412, 68, 6559, 204, 305, 610, 23, 289, 610, 22, 465, 15412, 68, 6559, 204, 268, 1677, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 13544, 31, 204, 305, 314, 38288, 275, 1419, 1259, 311, 275, 1629, 204, 305, 610, 22, 289, 5634, 540, 15412, 68, 6559, 204, 305, 610, 23, 289, 610, 22, 338, 15412, 68, 6559, 204, 268, 1677, 370, 19, 14619, 68, 932, 564, 29851, 2191, 19, 19575, 31, 204, 305, 314, 4657, 285, 292, 20, 607, 275, 1419, 329, 1029, 3584, 204, 305, 397, 370, 19, 834, 2186, 29514, 68, 21037, 17302, 2613, 68, 27898, 31, 204, 485, 5634, 22, 289, 368, 338, 322, 327, 19, 834, 802, 29514, 68, 21037, 17302, 2613, 68, 27898, 14, 204, 305, 902, 31, 204, 485, 5634, 22, 289, 500, 204, 305, 397, 370, 19, 834, 1323, 29514, 68, 21037, 17302, 2613, 68, 27898, 31, 204, 485, 5634, 23, 289, 322, 327, 19, 834, 338, 29514, 68, 21037, 17302, 2613, 68, 27898, 14, 802, 29514, 68, 21037, 17302, 2613, 68, 27898, 204, 305, 902, 31, 204, 485, 5634, 23, 289, 500, 204, 305, 370, 19, 9426, 22, 19, 574, 68, 4548, 13, 339, 13, 4808, 540, 5634, 22, 602, 204, 305, 370, 19, 9426, 23, 19, 574, 68, 4548, 13, 339, 13, 4808, 540, 5634, 23, 602, 204, 305, 610, 23, 289, 500, 204, 204, 268, 314, 4456, 275, 1419, 329, 1029, 3584, 204, 268, 7959, 19, 15709, 13, 327, 19, 9426, 22, 17, 322, 93, 22, 17, 469, 22, 602, 204, 268, 7959, 19, 15709, 13, 327, 19, 9426, 23, 17, 322, 93, 23, 17, 469, 23, 602, 204, 204, 8, 1165, 1265, 31, 204, 676, 1165, 5059, 13, 5059, 330, 204, 264, 436, 2790, 13, 327, 17, 7959, 31, 3363, 19, 8939, 14, 393, 443, 31, 204, 268, 314, 4456, 273, 4720, 4392, 204, 268, 3363, 19, 3320, 19, 966, 13, 9426, 17, 322, 4808, 17, 500, 17, 500, 659, 322, 21, 17, 500, 17, 15412, 68, 6559, 17, 15412, 68, 7645, 602, 204, 204, 461, 667, 1293, 204, 264, 3363, 19, 924, 374, 204, 264, 3645, 289, 3363, 19, 2994, 19, 574, 68, 3607, 1802, 14059, 68, 6559, 17, 15412, 68, 7645, 602, 204, 264, 6988, 289, 3363, 19, 834, 19, 16271, 374, 204, 204, 264, 1419, 68, 1512, 289, 1165, 5059, 374, 204, 264, 1029, 68, 1512, 289, 1165, 5059, 374, 204, 204, 264, 7978, 289, 29851, 13, 3474, 68, 1512, 17, 29851, 2191, 19, 12842, 17, 1419, 68, 1512, 17, 1029, 68, 1512, 14, 204, 204, 264, 4436, 289, 959, 204, 264, 1335, 4436, 31, 204, 268, 348, 1643, 292, 3363, 19, 2977, 19, 505, 1293, 204, 305, 397, 1643, 19, 932, 564, 3363, 19, 18210, 31, 204, 485, 4436, 289, 1078, 204, 204, 268, 7357, 289, 6988, 19, 5355, 13, 2682, 14, 802, 3861, 204, 268, 7978, 19, 2045, 13, 5144, 14, 204, 268, 7978, 19, 3320, 13, 5321, 14, 204, 204, 268, 3363, 19, 2994, 19, 12297, 374, 204, 204, 264, 3363, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 9704, 68, 3337, 13, 5454, 29650, 31, 458, 64, 339, 648, 296, 31, 421, 17, 781, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 13984, 970, 1842, 292, 275, 6082, 29650, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 296, 322, 339, 330, 334, 1112, 302, 275, 1043, 1103, 311, 9704, 19, 204, 268, 781, 322, 339, 330, 334, 1112, 302, 275, 1350, 1103, 311, 9704, 19, 204, 264, 320, 204, 264, 314, 13984, 1842, 974, 927, 32370, 204, 264, 6082, 29650, 64, 78, 648, 6082, 29650, 64, 79, 66, 289, 6082, 29650, 64, 79, 648, 6082, 29650, 64, 78, 66, 204, 204, 461, 1020, 68, 1129, 68, 998, 13, 5454, 29650, 31, 458, 64, 339, 648, 1302, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 1112, 302, 275, 1646, 6082, 26194, 292, 275, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 458, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1112, 302, 275, 1646, 6082, 26194, 19, 204, 264, 320, 204, 264, 314, 977, 846, 68, 998, 311, 500, 329, 13767, 1924, 275, 458, 311, 1020, 275, 1646, 204, 264, 846, 68, 998, 289, 500, 204, 264, 348, 296, 292, 933, 13, 835, 330, 204, 268, 397, 6082, 29650, 64, 78, 66, 1323, 6082, 29650, 64, 1129, 68, 998, 744, 204, 305, 846, 68, 998, 289, 296, 204, 264, 407, 846, 68, 998, 204, 204, 461, 13298, 68, 5454, 29650, 13, 5454, 29650, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 25278, 275, 1043, 724, 6082, 29650, 292, 275, 458, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 268, 724, 322, 339, 330, 334, 542, 302, 6082, 29650, 311, 13298, 19, 204, 264, 320, 204, 264, 314, 1974, 970, 13857, 311, 13298, 275, 6082, 29650, 204, 264, 1824, 289, 500, 204, 264, 1629, 289, 724, 338, 368, 204, 264, 1335, 1824, 962, 1629, 31, 204, 268, 9704, 68, 3337, 13, 5454, 29650, 17, 1824, 17, 1629, 14, 204, 268, 1824, 1412, 368, 204, 268, 1629, 4922, 368, 204, 204, 461, 6082, 26194, 68, 2975, 13, 5454, 29650, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4641, 275, 6082, 29650, 292, 9472, 1552, 974, 275, 6082, 26194, 12111, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 6082, 29650, 322, 655, 64, 339, 1037, 334, 458, 302, 6082, 29650, 19, 204, 264, 320, 204, 264, 1302, 289, 1245, 13, 5454, 29650, 14, 204, 264, 1335, 1302, 1323, 368, 31, 204, 268, 314, 1752, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 275, 1112, 302, 275, 1646, 6082, 26194, 204, 268, 846, 68, 998, 289, 1020, 68, 1129, 68, 998, 13, 5454, 29650, 17, 1302, 14, 204, 268, 456, 13, 75, 7979, 83, 53, 26242, 5803, 31, 463, 5454, 29650, 1522, 9881, 846, 6082, 26194, 31, 463, 5454, 29650, 64, 1129, 68, 998, 15745, 6104, 302, 846, 6082, 26194, 31, 463, 1129, 68, 998, 743, 204, 822, 268, 314, 828, 275, 1646, 6082, 26194, 353, 2861, 630, 275, 1136, 17, 1236, 13298, 353, 4331, 204, 268, 397, 846, 68, 998, 564, 1302, 338, 368, 31, 204, 305, 1302, 4922, 368, 204, 305, 456, 499, 3882, 13298, 4331, 1280, 204, 268, 902, 31, 204, 305, 314, 25278, 275, 1646, 6082, 26194, 311, 275, 1913, 204, 305, 397, 1302, 2167, 435, 31, 204, 485, 13298, 68, 5454, 29650, 13, 5454, 29650, 17, 846, 68, 998, 465, 368, 14, 204, 485, 456, 499, 43, 39092, 311, 275, 1913, 1280, 204, 305, 314, 25278, 275, 1646, 6082, 26194, 311, 275, 1034, 204, 305, 13298, 68, 5454, 29650, 13, 5454, 29650, 17, 1302, 14, 204, 305, 456, 499, 43, 39092, 311, 275, 1034, 1280, 204, 305, 1302, 4922, 368, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 6082, 29650, 289, 551, 23, 17, 681, 17, 887, 17, 368, 17, 571, 17, 1168, 17, 720, 66, 204, 264, 456, 499, 6238, 6082, 29650, 2180, 6082, 29650, 14, 204, 264, 6082, 26194, 68, 2975, 13, 5454, 29650, 14, 204, 264, 456, 3273, 83, 12222, 6082, 29650, 2180, 6082, 29650, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 837, 1552, 348, 1225, 311, 444, 3870, 523, 437, 726, 17, 2075, 1631, 11616, 311, 275, 726, 36, 204, 204, 673, 726, 1631, 636, 27517, 322, 3573, 292, 1502, 14, 3913, 311, 1169, 8348, 2955, 19, 1058, 618, 444, 8286, 560, 275, 1581, 595, 289, 472, 73, 17, 1273, 595, 353, 275, 1225, 3870, 17, 472, 353, 275, 8348, 2955, 17, 329, 303, 353, 275, 11492, 302, 275, 726, 19, 716, 204, 837, 904, 2159, 17, 348, 1225, 311, 444, 3870, 523, 437, 726, 17, 273, 2955, 1631, 444, 6310, 311, 275, 726, 17, 329, 275, 726, 1631, 2284, 292, 275, 2945, 302, 275, 2955, 19, 334, 1690, 302, 1225, 3870, 8788, 523, 275, 6922, 302, 275, 2955, 329, 275, 1759, 1048, 928, 275, 2955, 353, 6310, 19, 716, 204, 3070, 1763, 17, 397, 872, 7915, 273, 2871, 5229, 275, 8224, 17, 1225, 353, 3870, 523, 275, 2871, 2404, 273, 2955, 322, 7941, 7915, 14, 353, 6310, 311, 275, 2871, 17, 329, 275, 2871, 6315, 292, 275, 2945, 302, 275, 2955, 19, 334, 1690, 302, 1225, 3870, 8788, 523, 1662, 5027, 872, 7915, 322, 1947, 6922, 302, 275, 2955, 14, 329, 1662, 4935, 872, 7915, 275, 2871, 322, 1947, 1759, 1048, 928, 275, 2955, 353, 6310, 789, 0, 531, 1498, 532, 783, 17, 1884, 204, 204, 676, 37071, 2108, 31, 204, 264, 320, 204, 264, 2646, 273, 12449, 1586, 440, 273, 800, 2089, 19, 204, 204, 264, 1532, 31, 204, 268, 2089, 322, 17632, 19, 33722, 330, 332, 8051, 2231, 1048, 1051, 18, 5617, 2510, 2558, 19, 204, 268, 2089, 68, 18200, 75, 322, 17632, 19, 33722, 330, 334, 2089, 292, 2550, 44779, 545, 6503, 4385, 322, 41, 23895, 789, 204, 268, 2089, 68, 43094, 322, 17632, 19, 33722, 330, 334, 1051, 18, 5617, 2355, 302, 275, 2089, 19, 204, 268, 1050, 68, 19262, 322, 1218, 64, 4739, 19, 18660, 12633, 1037, 21537, 15133, 496, 10579, 275, 2089, 19, 204, 268, 7521, 68, 19262, 322, 1218, 64, 4739, 19, 18660, 12633, 1037, 22019, 15133, 496, 770, 508, 10579, 275, 2089, 19, 204, 268, 940, 30466, 322, 2107, 330, 2266, 275, 2089, 353, 273, 940, 30466, 19, 204, 268, 24712, 322, 2107, 330, 2266, 275, 2089, 353, 273, 24712, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2089, 31, 27295, 19, 33722, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 273, 37071, 2108, 1014, 440, 273, 800, 2089, 19, 204, 204, 268, 457, 31, 204, 305, 2089, 322, 17632, 19, 33722, 330, 332, 8051, 2231, 1048, 1051, 18, 5617, 2510, 2558, 19, 204, 268, 320, 204, 268, 370, 19, 22038, 289, 2089, 204, 268, 370, 19, 22038, 68, 18200, 75, 289, 2089, 19, 633, 68, 18200, 75, 374, 204, 268, 370, 19, 22038, 68, 43094, 289, 1051, 5617, 68, 75, 13, 22038, 14, 204, 204, 268, 314, 977, 15133, 204, 268, 370, 19, 1075, 68, 19262, 31, 783, 64, 4739, 19, 18660, 12633, 66, 289, 1306, 204, 268, 370, 19, 10349, 68, 19262, 31, 783, 64, 4739, 19, 18660, 12633, 66, 289, 1306, 204, 268, 348, 1041, 68, 1827, 292, 1041, 19, 18660, 12633, 19, 40564, 68, 17745, 1293, 204, 305, 397, 12478, 13, 4739, 68, 1827, 17, 370, 19, 22038, 68, 43094, 330, 204, 485, 370, 19, 1075, 68, 19262, 19, 1223, 13, 4739, 68, 1827, 14, 204, 305, 902, 31, 204, 485, 370, 19, 10349, 68, 19262, 19, 1223, 13, 4739, 68, 1827, 14, 204, 204, 268, 314, 4347, 940, 30466, 329, 24712, 3564, 204, 268, 370, 19, 1772, 30466, 31, 1109, 289, 2381, 13, 22038, 17, 27295, 19, 4366, 21159, 14, 204, 268, 370, 19, 495, 30466, 31, 1109, 289, 2381, 13, 22038, 17, 27295, 19, 7002, 21159, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 37071, 2108, 1014, 19, 204, 268, 320, 204, 268, 2089, 68, 325, 31, 394, 289, 370, 19, 22038, 68, 633, 68, 325, 374, 204, 268, 407, 283, 7, 47803, 2108, 13, 22038, 2508, 22038, 68, 325, 9222, 204, 204, 264, 436, 2089, 68, 633, 68, 325, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 275, 2089, 311, 273, 782, 2355, 19, 204, 268, 320, 204, 268, 2089, 68, 812, 31, 1884, 289, 370, 19, 22038, 19, 633, 68, 812, 374, 204, 268, 2089, 68, 325, 31, 394, 289, 370, 806, 812, 68, 633, 68, 325, 13, 22038, 68, 812, 14, 204, 268, 407, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2089, 68, 325, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 812, 68, 633, 68, 325, 13, 812, 31, 1884, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 437, 10003, 15618, 2192, 311, 273, 782, 2355, 19, 204, 204, 268, 457, 31, 204, 305, 7588, 322, 2983, 330, 334, 10003, 15618, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 782, 2355, 302, 275, 10003, 15618, 2192, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 2510, 2661, 204, 268, 397, 1245, 13, 812, 14, 1323, 435, 31, 204, 305, 4360, 68, 417, 31, 394, 289, 7588, 64, 21, 66, 204, 305, 1824, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 22, 694, 204, 305, 1629, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 23, 694, 204, 305, 407, 283, 1954, 1735, 68, 325, 98, 463, 760, 68, 417, 98, 463, 1633, 68, 325, 2495, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 18809, 204, 268, 1677, 7588, 64, 21, 66, 564, 379, 13981, 597, 204, 305, 4344, 289, 906, 49, 14548, 64, 812, 64, 22, 2629, 204, 305, 397, 4344, 19, 417, 564, 379, 72, 597, 204, 485, 4344, 68, 417, 31, 394, 289, 1848, 19, 59, 23, 40, 64, 13981, 66, 204, 305, 902, 31, 204, 485, 4344, 68, 417, 31, 394, 289, 2665, 19, 59, 23, 56, 64, 13981, 66, 204, 305, 407, 283, 1954, 13981, 68, 417, 2495, 204, 268, 314, 778, 397, 275, 25503, 4504, 273, 42005, 2661, 204, 268, 902, 31, 204, 305, 4360, 68, 417, 31, 394, 289, 7588, 64, 21, 66, 204, 305, 2571, 68, 325, 31, 394, 289, 37071, 2108, 806, 812, 68, 633, 68, 325, 13, 812, 64, 22, 694, 204, 305, 407, 283, 1954, 760, 68, 417, 98, 463, 2345, 68, 325, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2089, 204, 264, 2089, 31, 27295, 19, 33722, 289, 27295, 19, 7002, 21159, 13, 17632, 19, 49, 286, 611, 70, 2008, 27295, 19, 49, 286, 611, 71, 3063, 204, 264, 12449, 68, 1087, 31, 37071, 2108, 289, 37071, 2108, 13, 22038, 14, 204, 264, 456, 13, 4132, 68, 1087, 14, 204, 0, 647, 11609, 204, 531, 11609, 19, 1549, 532, 5453, 204, 531, 14573, 532, 13615, 204, 647, 1875, 204, 531, 1498, 532, 1535, 204, 204, 8, 4390, 2363, 6500, 204, 531, 401, 405, 19, 7590, 299, 532, 14644, 448, 906, 7590, 17, 8987, 448, 906, 71, 7762, 17, 2342, 448, 906, 2749, 204, 531, 401, 405, 532, 2193, 22203, 204, 531, 401, 405, 532, 7150, 404, 204, 531, 283, 842, 70, 68, 87, 4043, 19, 2191, 18446, 532, 2838, 18446, 204, 204, 676, 5496, 13, 6792, 19, 28886, 330, 204, 264, 320, 204, 264, 5496, 14971, 329, 1354, 6886, 19, 204, 204, 264, 1058, 850, 9713, 1104, 2758, 329, 5453, 348, 275, 16582, 1363, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1545, 31, 5453, 19, 8759, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 5496, 850, 19, 204, 204, 268, 457, 31, 204, 305, 1545, 322, 6792, 19, 8759, 330, 334, 16582, 1363, 1545, 19, 204, 268, 320, 204, 268, 370, 19, 1723, 289, 1545, 204, 268, 370, 19, 75, 842, 70, 289, 2838, 18446, 374, 204, 268, 370, 19, 2819, 289, 13615, 20526, 2819, 839, 226, 314, 6652, 273, 7450, 1104, 204, 204, 264, 1642, 6792, 19, 395, 32351, 13, 22, 17, 435, 17, 5453, 19, 23597, 2191, 19, 816, 14, 204, 264, 1642, 6792, 19, 2196, 13, 204, 268, 1340, 10374, 7590, 611, 2301, 327, 2008, 716, 268, 2342, 10374, 2749, 611, 2301, 327, 2008, 716, 268, 8987, 10374, 71, 7762, 611, 2301, 327, 534, 204, 264, 1179, 204, 264, 4470, 436, 24372, 13, 327, 17, 7773, 31, 5453, 19, 6569, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 11196, 440, 896, 1019, 497, 275, 1943, 6087, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 268, 320, 204, 268, 314, 763, 275, 575, 677, 6572, 329, 1943, 6087, 204, 268, 25300, 17, 906, 359, 17, 297, 337, 27161, 289, 2193, 22203, 13, 11721, 17, 370, 19, 2819, 14, 204, 268, 2061, 289, 370, 19, 2819, 19, 2269, 68, 389, 6758, 68, 359, 597, 906, 359, 1937, 204, 204, 268, 810, 31, 204, 305, 314, 666, 273, 11196, 440, 275, 1943, 6087, 424, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 327, 19, 75, 842, 70, 19, 671, 23605, 68, 2663, 68, 79, 1312, 13436, 13, 4621, 34, 88, 337, 27161, 17, 2061, 34, 3280, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 521, 2906, 275, 2710, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 1642, 6792, 19, 395, 32351, 13, 22, 17, 435, 17, 5453, 19, 23597, 2191, 19, 816, 14, 204, 264, 1642, 6792, 19, 2196, 13, 204, 268, 1340, 10374, 7590, 611, 2301, 2008, 716, 268, 2342, 10374, 2749, 611, 2301, 2008, 716, 268, 8987, 10374, 71, 7762, 611, 2301, 534, 204, 264, 1179, 204, 264, 4470, 436, 2745, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 630, 5909, 84, 31, 1535, 64, 325, 66, 289, 443, 17, 23038, 2042, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19305, 437, 3929, 497, 275, 1943, 6087, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 630, 5909, 84, 322, 4437, 64, 325, 1037, 334, 3929, 311, 5656, 19, 204, 305, 2042, 322, 4437, 64, 325, 1037, 6119, 1906, 19, 204, 268, 320, 204, 268, 397, 630, 5909, 84, 353, 443, 31, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 671, 23605, 499, 6, 2301, 25300, 68, 2663, 68, 269, 5909, 84, 3687, 204, 305, 407, 204, 204, 268, 314, 763, 275, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 611, 7297, 8121, 339, 31, 2572, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 2572, 17, 588, 833, 2045, 68, 2572, 2008, 204, 204, 264, 314, 42431, 18, 5969, 1274, 3758, 204, 264, 832, 611, 1155, 1008, 4750, 5020, 19, 42574, 68, 655, 17, 588, 833, 42574, 68, 655, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 17462, 5020, 19, 42574, 68, 7682, 17, 588, 833, 42574, 68, 7682, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 42574, 17, 588, 833, 2045, 68, 42574, 2008, 204, 264, 832, 611, 1155, 1008, 8121, 339, 31, 42574, 68, 359, 19130, 12188, 4750, 5020, 19, 12188, 68, 42574, 17, 588, 833, 12188, 68, 42574, 2008, 204, 204, 264, 314, 6761, 18, 5969, 1274, 3758, 204, 264, 832, 611, 14112, 4750, 5020, 19, 3396, 68, 655, 17, 588, 833, 3396, 68, 655, 2008, 204, 264, 832, 611, 14112, 8121, 339, 31, 3396, 68, 359, 17462, 5020, 19, 3396, 68, 7682, 17, 588, 833, 3396, 68, 7682, 2008, 204, 264, 832, 611, 14112, 8121, 339, 31, 3396, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 3396, 17, 588, 833, 2045, 68, 3396, 2008, 204, 204, 264, 314, 2221, 18, 5969, 1274, 3758, 204, 264, 832, 611, 4162, 4750, 5020, 19, 816, 68, 655, 17, 588, 833, 816, 68, 655, 2008, 204, 264, 832, 611, 4162, 8121, 339, 31, 816, 68, 359, 17462, 5020, 19, 816, 68, 7682, 17, 588, 833, 816, 68, 7682, 2008, 204, 264, 832, 611, 4162, 8121, 339, 31, 816, 68, 359, 19130, 2045, 4750, 5020, 19, 2045, 68, 816, 17, 588, 833, 2045, 68, 816, 2008, 204, 204, 264, 314, 5898, 1274, 3758, 204, 264, 832, 611, 11596, 4750, 5020, 19, 2256, 68, 655, 17, 588, 833, 2256, 68, 655, 2008, 204, 264, 832, 611, 553, 18, 7488, 4750, 5020, 19, 553, 68, 7488, 17, 588, 833, 553, 68, 7488, 2008, 204, 264, 832, 611, 6157, 4750, 5020, 19, 6157, 17, 588, 833, 6157, 2008, 204, 264, 832, 611, 8763, 18, 6157, 4750, 5020, 19, 8763, 68, 6157, 17, 588, 833, 8763, 68, 6157, 2008, 204, 264, 832, 611, 2749, 8121, 339, 31, 42574, 68, 359, 17462, 5020, 19, 2749, 17, 588, 833, 2749, 2008, 204, 264, 832, 611, 3396, 18, 4637, 4750, 5020, 19, 3396, 68, 4637, 17, 588, 833, 3396, 68, 4637, 2008, 204, 264, 832, 611, 15114, 18, 4637, 8121, 339, 31, 15114, 68, 359, 17462, 5020, 19, 15114, 68, 4637, 17, 588, 833, 15114, 68, 4637, 2008, 204, 264, 832, 611, 3396, 18, 4637, 8121, 339, 31, 3396, 68, 359, 17462, 5020, 19, 3396, 68, 4637, 17, 588, 833, 3396, 68, 4637, 2008, 204, 264, 832, 611, 7492, 18, 4637, 8121, 325, 31, 7492, 17462, 5020, 19, 7492, 68, 4637, 17, 588, 833, 7492, 68, 4637, 2008, 204, 264, 832, 611, 1803, 4750, 5020, 19, 1803, 17, 588, 833, 1803, 2008, 204, 66, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 5696, 31, 204, 264, 436, 771, 3488, 643, 6902, 32718, 4167, 291, 48, 13, 327, 17, 7093, 31, 783, 64, 339, 648, 724, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 542, 302, 30860, 21522, 1273, 275, 1351, 302, 830, 275, 1842, 292, 275, 8577, 353, 2202, 1194, 724, 19, 204, 204, 268, 457, 31, 204, 305, 7093, 322, 1218, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 305, 724, 322, 339, 330, 334, 1351, 2689, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 21522, 440, 1351, 2202, 1194, 724, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 724, 353, 2202, 1194, 521, 1936, 311, 500, 19, 204, 268, 320, 204, 268, 314, 778, 397, 724, 353, 1097, 204, 268, 397, 724, 2186, 368, 31, 204, 305, 980, 987, 499, 80, 1631, 444, 3114, 1194, 368, 431, 204, 204, 268, 314, 977, 275, 1040, 302, 21522, 329, 275, 2158, 10873, 204, 268, 8577, 68, 765, 289, 500, 204, 268, 1824, 289, 500, 204, 268, 1351, 289, 368, 204, 204, 268, 314, 1861, 1048, 275, 458, 302, 886, 204, 268, 348, 1629, 292, 933, 13, 1796, 13, 8586, 4019, 204, 305, 314, 1716, 275, 1351, 204, 305, 1351, 10744, 7093, 64, 1633, 66, 204, 204, 305, 314, 2541, 13820, 275, 2158, 497, 275, 1824, 3119, 275, 1351, 353, 2202, 1194, 724, 204, 305, 1335, 1351, 3721, 724, 329, 1824, 2186, 1629, 31, 204, 485, 1351, 16695, 7093, 64, 1735, 66, 204, 485, 1824, 1412, 368, 204, 204, 305, 314, 1716, 275, 1040, 302, 21522, 204, 305, 314, 334, 542, 302, 21522, 9801, 630, 275, 790, 1629, 1112, 353, 322, 1633, 338, 1824, 465, 368, 14, 204, 305, 8577, 68, 765, 1412, 1629, 338, 1824, 465, 368, 204, 204, 268, 407, 8577, 68, 765, 204, 204, 204, 461, 683, 1293, 204, 264, 320, 204, 264, 18036, 297, 289, 5696, 374, 204, 264, 18036, 7093, 17, 724, 289, 551, 1003, 17, 720, 17, 435, 17, 887, 648, 1607, 204, 264, 18036, 297, 19, 920, 3488, 643, 6902, 32718, 4167, 291, 48, 13, 8586, 17, 724, 14, 204, 264, 1132, 204, 264, 320, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 42517, 822, 264, 42517, 19, 804, 2272, 13, 6182, 11241, 34, 2663, 294, 742, 19, 3668, 43695, 22775, 14, 204, 0, 461, 26415, 68, 522, 68, 270, 269, 31760, 13, 83, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2727, 886, 719, 311, 275, 800, 542, 300, 974, 275, 40183, 302, 39895, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2722, 348, 6154, 2727, 886, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 2727, 886, 719, 311, 300, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 437, 1534, 521, 353, 2202, 1194, 435, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 1097, 1534, 204, 264, 397, 508, 2381, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 83, 17, 421, 14, 521, 300, 962, 435, 31, 204, 268, 980, 987, 499, 3383, 1631, 444, 437, 1534, 3114, 1194, 368, 431, 204, 204, 264, 314, 977, 273, 1435, 311, 3550, 3234, 302, 2727, 886, 204, 264, 353, 68, 5390, 289, 551, 1021, 66, 540, 322, 83, 465, 368, 14, 226, 314, 16219, 300, 292, 275, 1435, 204, 264, 353, 68, 5390, 64, 21, 66, 289, 353, 68, 5390, 64, 22, 66, 289, 1078, 226, 314, 500, 329, 368, 529, 508, 2727, 886, 204, 204, 264, 314, 1861, 1048, 275, 1435, 329, 2434, 11929, 886, 204, 264, 348, 296, 292, 933, 13, 23, 17, 421, 13, 83, 930, 500, 19, 26, 14, 465, 368, 330, 226, 314, 11917, 13767, 719, 311, 275, 2415, 1610, 302, 300, 204, 268, 397, 353, 68, 5390, 64, 78, 744, 204, 305, 314, 5979, 10112, 302, 296, 448, 11929, 204, 305, 348, 724, 292, 933, 13, 78, 540, 296, 17, 300, 465, 368, 17, 296, 330, 204, 485, 353, 68, 5390, 64, 80, 66, 289, 1078, 204, 204, 264, 314, 455, 273, 458, 302, 2727, 886, 204, 264, 407, 551, 78, 348, 296, 292, 933, 13, 23, 17, 300, 465, 368, 14, 397, 353, 68, 5390, 64, 78, 2629, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 300, 289, 2753, 204, 264, 10788, 289, 26415, 68, 522, 68, 270, 269, 31760, 13, 83, 14, 204, 264, 456, 13, 75, 7, 19214, 886, 719, 311, 463, 83, 2829, 463, 15897, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 970, 18, 1982, 44625, 4858, 353, 273, 11258, 6893, 496, 5913, 1662, 970, 978, 9372, 36365, 28441, 1330, 3585, 353, 4675, 311, 3714, 1283, 1475, 19, 334, 4858, 5628, 35832, 1070, 970, 36365, 311, 1792, 41378, 329, 12076, 1475, 440, 273, 15001, 19, 4168, 275, 23542, 353, 11771, 17, 275, 5406, 20878, 23300, 88, 329, 275, 5658, 20878, 40352, 19, 204, 204, 673, 6137, 302, 275, 36365, 618, 444, 13171, 560, 275, 4815, 5825, 348, 437, 10495, 25441, 20878, 19, 334, 4815, 6204, 273, 20878, 18862, 440, 1163, 8035, 17, 329, 275, 5825, 5913, 496, 275, 4815, 14169, 273, 1646, 630, 273, 4153, 8035, 19, 4168, 275, 23542, 353, 11159, 17, 3585, 14474, 497, 275, 20878, 630, 5092, 4815, 311, 275, 20878, 630, 3124, 4815, 17, 12511, 275, 5406, 20878, 311, 23300, 329, 275, 5658, 20878, 311, 10889, 19, 204, 204, 673, 4815, 5825, 618, 444, 8699, 560, 275, 1581, 31, 204, 204, 53, 289, 346, 802, 322, 87, 21, 67, 23, 540, 468, 14, 540, 551, 22, 338, 322, 87, 21, 20, 87, 2246, 27, 66, 204, 204, 3663, 415, 353, 275, 7599, 4815, 17, 346, 353, 273, 3324, 17, 468, 21, 353, 275, 794, 3643, 81, 756, 3441, 17, 329, 468, 353, 275, 790, 3441, 19, 204, 204, 673, 4858, 618, 444, 13171, 292, 275, 2631, 3214, 31, 204, 204, 22, 19, 334, 970, 36365, 529, 35832, 756, 311, 1792, 41378, 17, 440, 275, 5406, 20878, 5701, 273, 5092, 4815, 19, 204, 23, 19, 4168, 275, 23542, 353, 11771, 17, 3585, 14474, 497, 275, 5406, 20878, 311, 275, 5658, 20878, 17, 12511, 275, 5406, 20878, 311, 23300, 329, 275, 5658, 20878, 311, 10889, 19, 204, 24, 19, 334, 3585, 3714, 6084, 3710, 1330, 275, 970, 36365, 874, 1936, 4815, 17, 440, 1051, 523, 275, 1824, 7659, 302, 275, 4815, 5825, 322, 87, 962, 43426, 14, 329, 1051, 523, 275, 1629, 7659, 322, 87, 1323, 43426, 789, 204, 204, 673, 970, 18, 1982, 44625, 4858, 12938, 275, 3773, 302, 29686, 329, 275, 6137, 302, 978, 9372, 5194, 19, 1547, 353, 273, 3277, 7301, 24823, 4858, 496, 618, 444, 1376, 311, 17886, 3700, 6015, 11362, 19, 716, 204, 837, 1950, 18, 40702, 36365, 17, 275, 4815, 6204, 275, 20878, 5602, 2528, 7529, 630, 3403, 11904, 3913, 311, 6015, 6126, 1702, 448, 42447, 1613, 17, 22968, 4273, 23489, 302, 275, 16419, 21694, 17, 329, 406, 13306, 45181, 87, 2083, 19, 1058, 5814, 275, 6137, 302, 25441, 36365, 1182, 3700, 1194, 496, 302, 978, 9372, 30253, 39928, 19, 15277, 25441, 1425, 34123, 2725, 2834, 21476, 17, 5268, 496, 275, 4815, 8788, 508, 2842, 523, 275, 20878, 8035, 1101, 1425, 523, 275, 11621, 292, 928, 21872, 7117, 2481, 329, 275, 1419, 2945, 302, 2652, 19, 0, 8, 21523, 560, 5959, 571, 19, 22, 19, 25, 523, 17371, 18, 7085, 18, 1258, 39285, 31, 1719, 204, 204, 531, 1907, 19, 1479, 532, 6447, 204, 204, 676, 12596, 53, 323, 1186, 1449, 53, 323, 4203, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 12596, 275, 379, 9892, 12, 1242, 311, 379, 9892, 68, 546, 12, 292, 275, 379, 53, 762, 742, 12, 570, 19, 204, 204, 264, 1058, 5420, 353, 10742, 523, 275, 379, 1207, 30, 68, 4881, 68, 46559, 29, 1258, 68, 1845, 4553, 12, 5420, 292, 275, 379, 2154, 804, 12, 740, 19, 204, 264, 320, 204, 204, 264, 314, 783, 302, 6127, 348, 808, 5420, 204, 264, 6127, 31, 458, 64, 2644, 64, 325, 17, 394, 2629, 289, 551, 204, 268, 2448, 2154, 804, 491, 379, 1207, 30, 68, 4881, 68, 46559, 29, 1258, 68, 1845, 4553, 2008, 204, 264, 2437, 204, 204, 264, 314, 783, 302, 2758, 311, 2811, 292, 808, 5420, 204, 264, 2758, 31, 458, 64, 12571, 19, 12558, 66, 289, 551, 204, 268, 314, 12596, 275, 379, 9892, 12, 1242, 311, 379, 9892, 68, 546, 12, 292, 275, 379, 53, 762, 742, 12, 570, 204, 268, 6447, 19, 32662, 1186, 13, 204, 305, 570, 68, 417, 833, 85, 762, 742, 491, 226, 314, 3746, 588, 204, 305, 3299, 68, 417, 833, 9892, 491, 226, 314, 13448, 1242, 588, 204, 305, 717, 68, 417, 833, 9892, 68, 546, 491, 226, 314, 2991, 1242, 588, 204, 268, 5334, 204, 264, 2437, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 647, 3805, 448, 1246, 204, 531, 3805, 19, 89, 6242, 19, 24237, 532, 565, 15585, 204, 204, 8, 4861, 204, 32137, 68, 25355, 289, 2470, 43, 491, 379, 44, 491, 379, 45, 491, 379, 47, 491, 379, 48, 491, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 379, 50, 491, 379, 51, 491, 379, 54, 491, 379, 58, 491, 379, 59, 491, 379, 61, 491, 379, 63, 839, 204, 37696, 28425, 289, 2552, 9658, 597, 500, 17, 379, 57, 347, 597, 368, 17, 379, 60, 336, 597, 435, 17, 379, 4167, 90, 597, 571, 17, 379, 25303, 597, 681, 17, 379, 34405, 597, 720, 17, 379, 32570, 597, 887, 98, 204, 204, 461, 636, 68, 9983, 68, 2873, 13, 2873, 68, 325, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 455, 275, 3090, 1324, 448, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 1324, 68, 325, 322, 325, 330, 334, 1324, 448, 273, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3090, 1324, 448, 273, 782, 19, 204, 264, 320, 204, 264, 407, 394, 13, 339, 13, 2873, 68, 325, 14, 338, 368, 14, 204, 204, 461, 311, 68, 29163, 68, 834, 13, 5144, 31, 1804, 14, 393, 421, 31, 204, 264, 320, 204, 264, 455, 275, 22998, 4521, 348, 273, 800, 1804, 19, 204, 204, 264, 457, 31, 204, 268, 7357, 322, 2664, 330, 334, 1804, 726, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 22998, 4521, 19, 204, 264, 320, 204, 264, 314, 4496, 275, 4521, 374, 1216, 353, 1182, 6184, 329, 16633, 204, 264, 407, 421, 13, 5144, 19, 5192, 374, 540, 3861, 14, 204, 204, 461, 2252, 68, 672, 68, 531, 68, 40296, 649, 632, 13, 672, 68, 325, 31, 394, 14, 393, 1804, 31, 204, 264, 320, 204, 264, 455, 273, 1804, 726, 497, 273, 27445, 44724, 782, 19, 204, 204, 264, 457, 31, 204, 268, 1489, 68, 325, 322, 325, 330, 334, 1489, 782, 292, 27445, 44724, 1883, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 31, 334, 1804, 726, 19, 204, 264, 320, 204, 264, 314, 4496, 394, 11708, 353, 1182, 6184, 329, 16633, 204, 264, 407, 1804, 19, 12903, 13, 672, 68, 325, 17, 11307, 62, 10, 82, 10, 73, 534, 204, 204, 461, 2252, 68, 2664, 68, 531, 68, 5144, 13, 5144, 68, 325, 31, 394, 14, 393, 1804, 31, 204, 264, 320, 204, 264, 455, 273, 1804, 726, 497, 273, 27445, 18, 6688, 18, 8141, 24723, 31, 6688, 31, 2740, 782, 19, 204, 204, 264, 457, 31, 204, 268, 7357, 68, 325, 322, 325, 330, 334, 1804, 782, 292, 27445, 18, 6688, 18, 8141, 24723, 31, 6688, 31, 2740, 1883, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 31, 334, 1804, 726, 19, 204, 264, 320, 204, 264, 314, 4496, 394, 11708, 353, 1182, 6184, 329, 16633, 204, 264, 407, 1804, 19, 12903, 13, 5144, 68, 325, 17, 11307, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 534, 204, 204, 461, 636, 68, 4994, 68, 1190, 13, 4994, 68, 1181, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 542, 322, 22, 18, 1258, 14, 348, 273, 800, 2699, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 68, 1181, 322, 325, 330, 334, 2699, 1576, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 2699, 542, 19, 204, 264, 320, 204, 264, 407, 26109, 2504, 68, 25355, 19, 998, 13, 4994, 68, 1181, 14, 465, 368, 204, 204, 461, 636, 68, 4994, 68, 1181, 13, 4994, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 1576, 348, 273, 800, 2699, 542, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 2699, 542, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2699, 1576, 19, 204, 264, 320, 204, 264, 407, 26109, 2504, 68, 25355, 64, 4994, 338, 368, 66, 204, 204, 461, 881, 68, 17960, 13, 4994, 31, 421, 17, 1324, 31, 421, 17, 2699, 68, 765, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 455, 275, 2699, 329, 1324, 1877, 5209, 273, 800, 542, 302, 5869, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 1419, 2699, 19, 204, 268, 1324, 322, 339, 330, 334, 1419, 1324, 19, 204, 268, 2699, 68, 765, 322, 339, 330, 334, 542, 302, 5869, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 717, 2699, 329, 1324, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1804, 726, 204, 264, 7357, 289, 1804, 13, 2873, 17, 2699, 17, 368, 14, 204, 615, 264, 314, 1255, 275, 800, 542, 302, 5869, 204, 264, 717, 68, 5144, 289, 7357, 465, 1246, 19, 3713, 34564, 13, 17960, 34, 4994, 68, 765, 14, 204, 615, 264, 314, 455, 275, 717, 2699, 329, 1324, 204, 264, 407, 717, 68, 5144, 19, 4994, 17, 717, 68, 5144, 19, 2873, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 1324, 68, 325, 289, 379, 8409, 12, 204, 264, 456, 13, 505, 68, 9983, 68, 2873, 13, 2873, 68, 325, 602, 226, 314, 3215, 31, 17371, 204, 615, 264, 7357, 289, 1804, 13, 8409, 17, 368, 17, 368, 14, 204, 264, 456, 13, 633, 68, 29163, 68, 834, 13, 5144, 602, 226, 314, 3215, 31, 2247, 2169, 41769, 2825, 1207, 204, 615, 264, 1489, 68, 325, 289, 379, 1036, 20188, 10986, 12, 204, 264, 456, 13, 1703, 68, 672, 68, 531, 68, 40296, 649, 632, 13, 672, 68, 325, 602, 226, 314, 3215, 31, 27889, 18, 3222, 18, 3222, 19074, 31, 473, 31, 473, 204, 615, 264, 7357, 68, 325, 289, 379, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 12, 204, 264, 456, 13, 1703, 68, 2664, 68, 531, 68, 5144, 13, 5144, 68, 325, 602, 226, 314, 3215, 31, 27889, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 204, 615, 264, 2699, 68, 1181, 289, 379, 43, 12, 204, 264, 456, 13, 505, 68, 4994, 68, 1190, 13, 4994, 68, 1181, 602, 226, 314, 3215, 31, 368, 204, 615, 264, 2699, 289, 368, 204, 264, 456, 13, 505, 68, 4994, 68, 1181, 13, 4994, 602, 226, 314, 3215, 31, 472, 204, 615, 264, 2699, 289, 368, 204, 264, 1324, 289, 27889, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 2699, 68, 765, 289, 1598, 204, 264, 717, 68, 4994, 17, 717, 68, 2873, 289, 881, 68, 17960, 13, 4994, 17, 1324, 17, 2699, 68, 765, 14, 204, 264, 456, 13, 75, 12, 6001, 2699, 31, 463, 1957, 68, 4994, 1522, 2991, 1324, 31, 463, 1957, 68, 2873, 3501, 226, 314, 3215, 31, 2991, 2699, 31, 368, 17, 2991, 1324, 31, 43477, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 16588, 3313, 13, 1618, 19, 3313, 330, 204, 264, 320, 204, 264, 332, 2363, 4000, 348, 275, 16588, 570, 19, 204, 264, 320, 204, 204, 264, 436, 838, 68, 17416, 13, 327, 17, 588, 31, 394, 17, 1977, 31, 394, 17, 3986, 31, 394, 289, 8897, 752, 68, 3112, 31, 394, 289, 11070, 393, 379, 33024, 597, 204, 268, 320, 204, 268, 2605, 273, 717, 5332, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 5332, 19, 204, 305, 1977, 322, 325, 330, 334, 1977, 311, 275, 5332, 19, 204, 305, 3986, 322, 325, 17, 1448, 330, 10455, 1465, 275, 5332, 19, 1243, 311, 13080, 204, 305, 752, 68, 3112, 322, 325, 17, 1448, 330, 334, 2139, 302, 275, 5332, 752, 19, 1243, 311, 13080, 204, 204, 268, 475, 31, 204, 305, 16588, 31, 334, 9932, 1966, 5332, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1510, 13, 417, 34, 417, 17, 1977, 34, 2850, 17, 3986, 34, 1270, 17, 752, 68, 3112, 34, 935, 68, 3112, 14, 204, 204, 264, 436, 636, 68, 17416, 13, 327, 17, 1276, 31, 421, 14, 393, 379, 33024, 597, 204, 268, 320, 204, 268, 4071, 273, 5332, 560, 1163, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 334, 1222, 302, 275, 5332, 19, 204, 204, 268, 475, 31, 204, 305, 16588, 31, 334, 5332, 440, 275, 1713, 1222, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 407, 370, 19, 505, 13, 359, 34, 359, 14, 204, 268, 827, 16588, 19, 9775, 31, 204, 305, 407, 443, 204, 204, 204, 676, 16588, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 273, 5332, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 5332, 19, 204, 268, 1977, 322, 325, 330, 334, 1977, 311, 275, 5332, 19, 204, 268, 3986, 322, 325, 330, 10455, 1465, 275, 5332, 19, 204, 268, 752, 68, 3112, 322, 325, 330, 334, 2139, 302, 275, 5332, 752, 19, 204, 264, 320, 204, 204, 264, 314, 12859, 18, 5903, 4408, 896, 1242, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 204, 264, 314, 4014, 302, 275, 5332, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 14, 204, 204, 264, 314, 8692, 311, 275, 5332, 204, 264, 1977, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 6386, 14, 204, 204, 264, 314, 10455, 1465, 275, 5332, 204, 264, 3986, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 14, 204, 204, 264, 314, 14153, 302, 275, 5332, 752, 204, 264, 752, 68, 3112, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 14, 204, 204, 264, 314, 5336, 4000, 348, 275, 16588, 570, 204, 264, 2828, 289, 16588, 3313, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5332, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 588, 302, 275, 5332, 19, 204, 268, 320, 204, 268, 407, 370, 19, 417, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 5332, 204, 264, 5332, 289, 16588, 19, 2856, 19, 1510, 68, 17416, 499, 5063, 16588, 528, 388, 3189, 1963, 2569, 19, 1453, 20, 17416, 431, 204, 204, 264, 314, 4491, 273, 5332, 560, 1163, 1222, 204, 264, 8781, 68, 17416, 289, 16588, 19, 2856, 19, 505, 68, 17416, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 588, 302, 275, 8781, 5332, 204, 264, 397, 8781, 68, 17416, 31, 204, 268, 456, 13, 22679, 68, 17416, 19, 417, 14, 204, 264, 902, 31, 204, 268, 456, 499, 33024, 508, 1193, 431, 204, 0, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1489, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 15902, 299, 11443, 31, 204, 264, 320, 204, 264, 2646, 273, 31080, 2556, 440, 6826, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 2556, 68, 672, 322, 672, 330, 334, 1489, 275, 2556, 867, 4489, 19, 204, 268, 31080, 68, 12100, 322, 325, 330, 2334, 7506, 3232, 311, 275, 31080, 19, 204, 268, 11965, 68, 17326, 322, 325, 330, 334, 11965, 4768, 17, 397, 1169, 19, 204, 264, 320, 204, 204, 264, 2556, 68, 672, 31, 1489, 204, 264, 31080, 68, 12100, 31, 1535, 64, 325, 66, 289, 443, 204, 264, 11965, 68, 17326, 31, 1535, 64, 325, 66, 289, 443, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 327, 19, 4723, 68, 672, 17, 1489, 330, 204, 305, 980, 987, 499, 11443, 1489, 1631, 444, 273, 1489, 726, 431, 204, 268, 397, 370, 19, 9078, 299, 68, 12100, 329, 508, 2381, 13, 327, 19, 9078, 299, 68, 12100, 17, 394, 330, 204, 305, 980, 987, 499, 16885, 299, 7506, 1631, 444, 273, 782, 431, 204, 268, 397, 370, 19, 24620, 820, 68, 17326, 329, 508, 2381, 13, 327, 19, 24620, 820, 68, 17326, 17, 394, 330, 204, 305, 980, 987, 499, 39086, 820, 4768, 1631, 444, 273, 782, 431, 204, 204, 264, 436, 1395, 68, 9078, 299, 68, 12100, 13, 327, 17, 717, 68, 12100, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 31080, 7506, 19, 204, 204, 0 ]

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

[ 0, 268, 457, 31, 204, 305, 717, 68, 12100, 322, 325, 330, 334, 717, 7506, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 7506, 529, 1097, 204, 268, 397, 508, 2381, 13, 1957, 68, 12100, 17, 394, 330, 204, 305, 980, 987, 499, 16885, 299, 7506, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 9078, 299, 68, 12100, 289, 717, 68, 12100, 204, 204, 264, 436, 1395, 68, 24620, 820, 68, 17326, 13, 327, 17, 717, 68, 24620, 820, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 11965, 4768, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 24620, 820, 322, 325, 330, 334, 717, 11965, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 11965, 353, 1097, 204, 268, 397, 508, 2381, 13, 1957, 68, 24620, 820, 17, 394, 330, 204, 305, 980, 987, 499, 39086, 820, 4768, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 24620, 820, 68, 17326, 289, 717, 68, 24620, 820, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2556, 289, 15902, 299, 11443, 13, 4723, 68, 672, 34, 672, 19, 10388, 2144, 31080, 68, 12100, 1022, 6238, 2556, 431, 204, 264, 456, 13, 4723, 14, 204, 264, 2556, 19, 2045, 68, 9078, 299, 68, 12100, 499, 10510, 2556, 431, 204, 264, 456, 13, 4723, 14, 204, 264, 2556, 19, 2045, 68, 24620, 820, 68, 17326, 499, 1560, 6466, 41250, 431, 204, 264, 456, 13, 4723, 14, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 7260, 275, 2689, 311, 444, 14416, 204, 2310, 1519, 311, 2248, 496, 275, 2689, 302, 551, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 6023, 22, 6918, 22, 18, 61, 602, 448, 1504, 7881, 368, 353, 1936, 311, 9180, 53, 2422, 57, 789, 204, 204, 658, 1687, 435, 31, 3291, 14821, 311, 1855, 2902, 302, 275, 1581, 204, 3661, 469, 289, 551, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 6023, 22, 6918, 22, 18, 61, 8093, 27577, 275, 4193, 14821, 302, 1855, 2902, 4658, 10363, 13, 94, 14, 289, 322, 22, 6918, 22, 18, 61, 602, 540, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 1664, 204, 204, 658, 1687, 571, 31, 4938, 275, 2689, 302, 10363, 13, 94, 14, 448, 1504, 7881, 368, 204, 5039, 1504, 7881, 368, 17, 275, 2231, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 802, 322, 22, 18, 61, 14, 353, 292, 275, 798, 500, 20, 21, 17, 928, 353, 437, 292, 46287, 798, 19, 1785, 618, 3120, 480, 12, 46070, 2764, 677, 4090, 311, 3953, 808, 2689, 19, 204, 204, 658, 1687, 681, 31, 3291, 480, 12, 46070, 2764, 677, 4090, 204, 3661, 273, 289, 10363, 64, 61, 13, 61, 18, 22, 14, 57, 16, 22, 66, 329, 308, 289, 368, 18, 61, 19, 5512, 17, 3121, 20, 4928, 289, 313, 13, 23, 93, 18, 22, 4061, 64, 39857, 13, 93, 18, 22, 14040, 22, 66, 329, 1863, 20, 4928, 289, 338, 22, 19, 334, 2689, 302, 10363, 13, 94, 14, 448, 1504, 7881, 368, 353, 1675, 275, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 19, 204, 204, 658, 1687, 720, 31, 4938, 275, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 204, 673, 2689, 302, 3121, 20, 4928, 802, 1863, 20, 4928, 448, 1504, 7881, 368, 353, 338, 57, 13, 23, 93, 18, 22, 4061, 64, 39857, 13, 93, 18, 22, 14040, 22, 66, 14416, 630, 1504, 289, 368, 17, 928, 11388, 311, 338, 57, 19, 204, 204, 658, 1687, 887, 31, 1752, 275, 2689, 302, 469, 448, 1504, 7881, 368, 204, 4592, 10363, 13, 94, 14, 289, 338, 57, 17, 572, 874, 469, 289, 318, 7218, 57, 789, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 74, 5373, 57, 10512, 0, 531, 589, 8991, 367, 532, 10297, 204, 531, 38037, 532, 20987, 17, 7661, 204, 531, 1498, 532, 1535, 204, 647, 20210, 204, 647, 690, 204, 647, 16239, 204, 647, 782, 204, 204, 676, 26946, 7545, 13, 15542, 330, 204, 264, 320, 204, 264, 2646, 273, 958, 311, 273, 1948, 5247, 824, 19, 204, 204, 264, 1058, 850, 353, 1376, 311, 2252, 275, 958, 497, 275, 26946, 1948, 5247, 4584, 19, 204, 264, 1547, 3192, 273, 2875, 1242, 17, 1758, 42841, 1479, 68, 2119, 7147, 928, 4504, 275, 9932, 18, 5903, 1948, 19, 204, 264, 320, 204, 204, 264, 34926, 1479, 68, 2119, 31, 394, 289, 7661, 13, 204, 268, 14012, 204, 268, 1724, 1022, 6001, 447, 18, 5903, 1948, 528, 204, 268, 1763, 3644, 204, 305, 388, 1707, 47, 21, 74, 61, 38, 78, 52, 78, 32993, 59, 22, 54, 78, 15901, 47, 77, 71, 44, 1697, 52, 78, 40869, 58, 95, 46, 22, 47598, 47, 30, 19, 1707, 47, 280, 11442, 78, 52, 79, 42, 23, 17797, 58, 92, 10226, 50, 24, 51, 95, 62, 88, 46, 1368, 7, 204, 305, 388, 22583, 7691, 27, 50, 5578, 93, 4495, 80, 26, 51, 95, 58, 94, 18885, 37001, 61, 51, 30073, 26, 77, 71, 60, 33101, 52, 78, 47, 94, 3912, 42, 403, 54, 19, 42, 70, 43, 21, 20420, 47, 18734, 48, 48, 9049, 46, 58, 912, 24, 94, 52, 7, 204, 305, 388, 95, 23152, 22, 3458, 73, 48, 83, 9162, 95, 47312, 18886, 63, 38976, 91, 2445, 7, 204, 268, 5334, 204, 264, 1179, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 407, 283, 7, 837, 25625, 7545, 13, 42841, 1479, 68, 2119, 2508, 327, 19, 42841, 1479, 68, 2119, 9222, 204, 204, 204, 676, 26946, 7545, 3313, 31, 204, 264, 320, 204, 264, 16318, 275, 5247, 329, 12230, 302, 26946, 5357, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 1900, 717, 5357, 329, 6767, 4449, 6399, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4583, 68, 644, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 1948, 4000, 440, 273, 4583, 896, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 204, 268, 457, 31, 204, 268, 338, 4583, 68, 644, 322, 325, 330, 334, 4583, 896, 1376, 311, 1574, 329, 6767, 5357, 19, 204, 268, 320, 204, 268, 370, 19, 4679, 68, 644, 289, 4583, 68, 644, 204, 204, 264, 436, 1900, 68, 2119, 13, 327, 17, 2143, 31, 394, 17, 24149, 68, 266, 31, 421, 289, 15644, 14, 393, 26946, 7545, 31, 204, 268, 320, 204, 268, 6071, 273, 717, 26946, 1948, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2143, 322, 325, 330, 334, 2143, 3610, 440, 275, 1948, 19, 204, 268, 338, 24149, 68, 266, 322, 339, 330, 334, 542, 302, 3331, 3119, 275, 1948, 24149, 19, 1243, 311, 15644, 322, 22, 4904, 789, 204, 204, 268, 475, 31, 204, 268, 338, 26946, 7545, 31, 334, 9932, 18, 5903, 1948, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 5735, 440, 275, 2143, 329, 14218, 690, 204, 268, 5735, 289, 463, 204, 305, 388, 4041, 559, 421, 13, 834, 19, 834, 1447, 465, 24149, 68, 266, 17, 204, 305, 388, 11629, 559, 421, 13, 834, 19, 834, 10206, 204, 305, 388, 2574, 559, 2143, 17, 204, 268, 1211, 204, 822, 268, 314, 2069, 273, 1948, 974, 275, 5735, 329, 4583, 896, 204, 268, 1948, 289, 20210, 19, 4170, 13, 8101, 17, 370, 19, 4679, 68, 644, 17, 3372, 1022, 14663, 6372, 431, 204, 822, 268, 314, 455, 275, 1948, 448, 437, 26946, 7545, 726, 204, 268, 407, 26946, 7545, 13, 42841, 1479, 68, 2119, 34, 2119, 14, 204, 204, 264, 436, 6767, 68, 2119, 13, 327, 17, 1948, 31, 394, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 11885, 437, 4449, 26946, 1948, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1948, 322, 325, 330, 334, 1948, 311, 6767, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1535, 64, 325, 744, 334, 2143, 3610, 440, 275, 1948, 397, 490, 677, 1097, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 12210, 275, 1948, 974, 275, 4583, 896, 204, 305, 5735, 289, 20210, 19, 5286, 13, 2119, 17, 370, 19, 4679, 68, 644, 17, 11619, 8090, 14663, 6372, 3808, 204, 305, 314, 455, 275, 2143, 497, 275, 5735, 204, 305, 407, 5735, 1166, 2574, 1339, 204, 268, 827, 20210, 19, 46930, 26362, 596, 31, 204, 305, 314, 1426, 18498, 5357, 204, 305, 407, 443, 204, 268, 827, 20210, 19, 1962, 7545, 596, 31, 204, 305, 314, 1426, 2872, 5357, 204, 305, 407, 443, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 273, 4583, 896, 204, 264, 4583, 68, 644, 289, 9434, 1541, 13, 21894, 19, 4352, 13, 1031, 19, 9601, 68, 10576, 465, 782, 19, 5931, 14, 348, 906, 292, 933, 13, 2177, 602, 204, 615, 264, 314, 666, 273, 1948, 4000, 204, 264, 1948, 68, 2754, 289, 26946, 7545, 3313, 13, 4679, 68, 644, 14, 204, 615, 264, 314, 2069, 273, 717, 1948, 204, 264, 1948, 289, 1948, 68, 2754, 19, 4776, 68, 2119, 499, 2569, 68, 816, 431, 204, 264, 456, 13, 75, 7, 24569, 1948, 31, 463, 2119, 743, 204, 615, 264, 314, 6407, 275, 1948, 204, 264, 2143, 289, 1948, 68, 2754, 19, 11174, 68, 2119, 13, 2119, 19, 42841, 1479, 68, 2119, 14, 204, 264, 456, 13, 75, 7, 11158, 1287, 2143, 31, 463, 2574, 743, 204, 0, 18597, 16897, 1737, 8052, 874, 311, 444, 13013, 17, 1422, 5252, 311, 444, 437, 12130, 302, 275, 1737, 5252, 928, 5252, 311, 678, 4354, 10350, 902, 19, 23256, 302, 275, 1737, 5252, 1856, 444, 3870, 292, 437, 32687, 329, 1216, 787, 11621, 329, 1856, 444, 15964, 19, 19054, 572, 11049, 1662, 1737, 5252, 529, 311, 444, 28500, 17, 572, 1519, 311, 3126, 2075, 1737, 5252, 529, 19, 2416, 1012, 440, 17, 9700, 292, 1169, 7365, 3667, 874, 311, 14179, 1017, 6173, 521, 4309, 717, 6173, 311, 2709, 24369, 523, 275, 2624, 19, 1058, 3210, 496, 1250, 1519, 311, 444, 6020, 523, 275, 7663, 13199, 521, 18000, 9365, 353, 4331, 348, 1475, 311, 636, 275, 2624, 3870, 19, 14207, 17, 9700, 5751, 719, 275, 21261, 4230, 1519, 311, 444, 6020, 523, 4000, 464, 6173, 329, 16675, 6173, 19, 5610, 808, 3210, 496, 848, 4703, 869, 273, 2318, 1519, 311, 636, 6020, 523, 4260, 13862, 6173, 521, 5571, 6173, 19, 4171, 798, 275, 7032, 348, 275, 1737, 5252, 928, 1519, 311, 444, 10994, 329, 30863, 6982, 19, 204, 17550, 1737, 5252, 529, 10994, 17, 1675, 275, 37145, 41, 741, 1631, 7324, 273, 36725, 302, 9700, 329, 273, 1525, 302, 848, 4703, 329, 1704, 521, 2830, 1737, 5252, 19, 1058, 1784, 5190, 1475, 273, 8615, 1216, 311, 7968, 1662, 1910, 9700, 1519, 311, 444, 6020, 523, 2075, 9365, 329, 3855, 1250, 874, 275, 855, 37497, 3600, 311, 7575, 275, 951, 880, 19, 204, 26913, 17, 808, 1525, 1784, 1340, 1475, 292, 11666, 348, 275, 951, 880, 292, 273, 23636, 329, 2590, 6183, 685, 11621, 19, 3065, 353, 3161, 7857, 3237, 329, 496, 21668, 311, 275, 17596, 302, 1737, 5252, 3870, 560, 9700, 329, 1017, 21051, 19, 334, 917, 3237, 353, 496, 275, 2824, 5252, 496, 529, 10994, 560, 275, 21051, 4230, 444, 1792, 497, 3153, 28827, 6839, 560, 275, 9700, 19, 18911, 17, 273, 10602, 4249, 5252, 311, 444, 3870, 928, 14977, 543, 1855, 1605, 329, 9321, 311, 275, 1525, 14511, 4166, 19, 204, 673, 4986, 7857, 353, 1330, 275, 1737, 5252, 529, 2423, 1491, 329, 275, 1352, 302, 22383, 348, 275, 2641, 951, 880, 7036, 19, 334, 37145, 41, 741, 1631, 732, 275, 1525, 302, 5252, 311, 7260, 3153, 496, 529, 19686, 440, 275, 32043, 10683, 329, 7324, 273, 2423, 458, 302, 1737, 5252, 496, 618, 444, 16644, 756, 311, 275, 21051, 348, 1017, 21561, 19, 3065, 529, 1910, 1818, 329, 18795, 22262, 8033, 292, 808, 1352, 2404, 302, 275, 841, 38823, 20086, 496, 529, 2323, 311, 32043, 8908, 329, 32043, 6137, 19, 6917, 808, 17, 275, 1737, 8052, 1631, 444, 4285, 928, 1784, 1995, 1605, 1737, 5252, 329, 1784, 444, 275, 31647, 14629, 348, 2641, 4616, 275, 1737, 5252, 329, 4979, 34093, 1475, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 18226, 17, 1737, 5252, 10140, 497, 7365, 311, 7365, 329, 497, 4703, 311, 4703, 19, 3065, 353, 1236, 917, 292, 4461, 830, 9700, 26935, 24574, 951, 880, 329, 630, 275, 1729, 690, 17, 1422, 353, 275, 1519, 311, 951, 830, 9700, 523, 275, 6173, 496, 1250, 1519, 311, 770, 1017, 2624, 2590, 19, 4087, 17, 275, 37145, 41, 741, 1631, 444, 7588, 925, 311, 11506, 808, 48850, 8573, 329, 15775, 1017, 24443, 329, 5384, 302, 275, 8642, 5814, 275, 2712, 1283, 2707, 1737, 8052, 329, 3153, 496, 479, 12639, 329, 753, 7772, 1017, 2501, 1924, 19, 204, 837, 11144, 17, 1737, 353, 273, 4802, 7857, 302, 1169, 2624, 329, 15775, 17, 275, 37145, 41, 3263, 292, 12488, 1631, 2761, 5256, 6005, 329, 6183, 311, 275, 1352, 19, 11917, 1273, 1422, 353, 273, 15964, 3478, 292, 2481, 311, 951, 9700, 5575, 311, 1017, 5252, 329, 275, 13174, 302, 1605, 5252, 440, 32043, 10683, 1784, 4897, 3597, 5634, 348, 275, 12488, 19, 204, 24133, 15040, 14949, 322, 31126, 14, 353, 437, 11975, 23364, 17434, 440, 275, 11676, 302, 9530, 2459, 329, 24490, 1225, 27748, 17634, 440, 3073, 311, 11031, 17, 7249, 311, 3126, 17, 12283, 2908, 6842, 523, 1910, 6294, 3232, 7993, 19, 204, 31126, 3384, 34043, 13861, 19239, 329, 18081, 1415, 2390, 275, 1666, 348, 275, 23364, 19, 1785, 42913, 5438, 311, 2077, 3384, 448, 338, 502, 11154, 701, 12335, 19, 2416, 22133, 1182, 17, 4974, 523, 14614, 15167, 19, 204, 23513, 6294, 7345, 2343, 30805, 15641, 440, 7249, 311, 3126, 17, 11031, 447, 26417, 3100, 6500, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 8632, 532, 8204, 204, 531, 9229, 19, 20401, 532, 30199, 448, 10483, 204, 204, 676, 12001, 31, 204, 264, 320, 204, 264, 2646, 273, 2852, 292, 273, 346, 2139, 2548, 19, 204, 204, 264, 1532, 31, 204, 268, 2049, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 2049, 19, 204, 268, 7480, 68, 1190, 322, 339, 330, 334, 7480, 542, 302, 275, 2852, 19, 204, 268, 1007, 68, 1190, 322, 339, 330, 334, 1007, 542, 302, 275, 2852, 19, 204, 268, 42792, 322, 40, 3753, 14675, 657, 330, 334, 42792, 726, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 42792, 31, 379, 40, 3753, 14675, 657, 491, 2049, 68, 998, 31, 421, 17, 7480, 68, 1190, 31, 421, 17, 1007, 68, 1190, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 12001, 726, 19, 204, 204, 268, 457, 31, 204, 305, 42792, 322, 40, 3753, 14675, 657, 330, 334, 42792, 726, 19, 204, 305, 2049, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 2049, 19, 204, 305, 7480, 68, 1190, 322, 339, 330, 334, 7480, 542, 302, 275, 2852, 19, 204, 305, 1007, 68, 1190, 322, 339, 330, 334, 1007, 542, 302, 275, 2852, 19, 204, 268, 320, 204, 268, 370, 19, 20110, 657, 289, 42792, 204, 268, 370, 19, 2029, 68, 998, 289, 2049, 68, 998, 204, 268, 370, 19, 11403, 68, 1190, 289, 7480, 68, 1190, 204, 268, 370, 19, 1054, 68, 1190, 289, 1007, 68, 1190, 204, 204, 264, 436, 636, 68, 11403, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 7480, 542, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 7480, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 11403, 68, 1190, 204, 204, 264, 436, 636, 68, 1054, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1007, 542, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1007, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1054, 68, 1190, 204, 204, 264, 436, 636, 68, 553, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 2049, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 2049, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 2049, 1112, 353, 2872, 19, 204, 268, 320, 204, 268, 397, 370, 19, 2029, 68, 998, 962, 500, 31, 204, 305, 980, 987, 499, 1962, 2049, 1112, 431, 204, 268, 407, 370, 19, 20110, 657, 19, 505, 68, 2029, 13, 327, 19, 2029, 68, 998, 14, 204, 204, 264, 436, 636, 68, 3366, 13, 327, 14, 393, 1884, 64, 325, 17, 421, 17, 421, 744, 204, 268, 320, 204, 268, 475, 275, 2852, 448, 273, 927, 302, 2049, 17, 1007, 542, 17, 329, 7480, 542, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 325, 17, 421, 17, 421, 744, 334, 2852, 19, 204, 268, 320, 204, 268, 407, 322, 327, 19, 505, 68, 553, 2144, 370, 19, 505, 68, 1054, 2144, 370, 19, 505, 68, 11403, 1447, 204, 204, 264, 436, 589, 340, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 3114, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 3114, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 3721, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 8636, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 3114, 1194, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 3114, 1194, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 1323, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 280, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 2202, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 2202, 1194, 521, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 2186, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 10477, 889, 327, 17, 904, 31, 379, 11411, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 2202, 1194, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 11411, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 2202, 1194, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 962, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 11642, 889, 327, 17, 904, 31, 726, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 1386, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 2123, 17, 12001, 330, 204, 305, 407, 9719, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 564, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 656, 889, 327, 17, 904, 31, 726, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 808, 2852, 353, 508, 1936, 311, 275, 800, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 904, 322, 1386, 330, 334, 904, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 808, 2852, 353, 508, 1936, 311, 275, 800, 2852, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 2123, 17, 12001, 330, 204, 305, 407, 9719, 204, 268, 407, 370, 19, 505, 68, 3366, 374, 2167, 904, 19, 505, 68, 3366, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 2852, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 782, 2355, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 505, 68, 553, 374, 10829, 327, 19, 505, 68, 1054, 29260, 204, 204, 204, 676, 346, 3753, 14675, 657, 31, 204, 264, 320, 204, 264, 2646, 275, 42792, 19, 204, 204, 264, 1532, 31, 204, 268, 13067, 322, 1218, 64, 325, 1037, 334, 458, 302, 13067, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 13067, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 1865, 273, 717, 346, 3753, 14675, 657, 726, 19, 204, 204, 268, 457, 31, 204, 305, 13067, 322, 1218, 64, 325, 1037, 334, 458, 302, 13067, 19, 204, 268, 320, 204, 268, 370, 19, 17025, 289, 13067, 204, 204, 264, 436, 636, 68, 2029, 13, 327, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 2049, 630, 275, 800, 1112, 19, 204, 204, 268, 457, 31, 204, 305, 1112, 322, 339, 330, 334, 1112, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 2049, 19, 204, 268, 320, 204, 268, 407, 370, 19, 17025, 64, 998, 66, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 458, 302, 13067, 204, 264, 13067, 289, 3134, 553, 22, 19, 72, 528, 388, 553, 23, 19, 72, 528, 388, 553, 24, 19, 72, 1339, 204, 204, 264, 314, 666, 273, 346, 3753, 14675, 657, 726, 204, 264, 42792, 289, 346, 3753, 14675, 657, 13, 17025, 14, 204, 204, 264, 314, 666, 273, 12001, 726, 204, 264, 2852, 289, 12001, 13, 20110, 657, 17, 500, 17, 931, 17, 720, 14, 204, 204, 264, 314, 1198, 275, 2852, 204, 264, 456, 13, 3366, 14, 204, 204, 264, 314, 1198, 275, 2049, 204, 264, 456, 13, 3366, 19, 505, 68, 553, 1447, 204, 204, 264, 314, 1198, 275, 1007, 542, 204, 264, 456, 13, 3366, 19, 505, 68, 1054, 1447, 204, 204, 264, 314, 1198, 275, 7480, 542, 204, 264, 456, 13, 3366, 19, 505, 68, 11403, 1447, 204, 0, 647, 3238, 204, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 15397, 204, 647, 15397, 19, 13558, 448, 8112, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 17, 40294, 10300, 23834, 204, 647, 2010, 448, 645, 204, 531, 15397, 532, 1094, 204, 204, 8, 968, 3454, 204, 13342, 68, 10710, 68, 2956, 289, 5737, 204, 12889, 68, 10710, 68, 2956, 289, 7328, 204, 8004, 68, 10710, 68, 2956, 289, 7328, 204, 5551, 68, 14710, 289, 5106, 204, 3707, 46, 16010, 289, 2468, 204, 18290, 68, 9572, 289, 500, 19, 22, 204, 49, 23, 68, 13712, 29718, 26056, 289, 500, 19, 37425, 204, 204, 461, 1137, 68, 481, 13, 481, 68, 1217, 31, 394, 17, 3204, 31, 8112, 19, 16612, 14, 393, 15397, 19, 8271, 19, 3873, 22881, 31, 204, 264, 320, 204, 264, 1385, 275, 1485, 497, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 1485, 19, 204, 268, 3204, 322, 13558, 19, 16612, 330, 334, 6220, 311, 3120, 311, 275, 424, 19, 204, 204, 264, 475, 31, 204, 268, 15397, 19, 8271, 19, 3873, 22881, 31, 334, 3271, 1485, 19, 204, 264, 320, 204, 264, 407, 15397, 19, 8271, 19, 3873, 22881, 13, 481, 68, 1217, 17, 3204, 34, 4072, 14, 204, 204, 461, 838, 68, 481, 68, 24957, 13, 2182, 31, 15397, 19, 8271, 19, 3873, 22881, 17, 951, 68, 2884, 68, 835, 31, 421, 17, 1097, 68, 2884, 68, 835, 31, 421, 17, 683, 68, 2884, 68, 835, 31, 421, 14, 393, 322, 10535, 17, 8641, 17, 8641, 330, 204, 264, 320, 204, 264, 666, 424, 18173, 348, 1737, 17, 3587, 17, 329, 2907, 19, 204, 204, 264, 457, 31, 204, 268, 1485, 322, 3109, 6302, 19, 8271, 19, 3873, 22881, 330, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1485, 311, 3404, 1025, 1737, 17, 3587, 17, 329, 2907, 3416, 19, 204, 268, 951, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 1737, 758, 19, 204, 268, 1097, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 3587, 758, 19, 204, 268, 683, 68, 2884, 68, 835, 322, 339, 330, 334, 2068, 1302, 348, 275, 2907, 758, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1737, 17, 3587, 17, 329, 2907, 424, 18173, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 1485, 1025, 1737, 17, 3587, 17, 329, 2907, 3416, 204, 264, 1485, 68, 835, 289, 1245, 13, 2182, 14, 204, 264, 3265, 289, 458, 13, 2307, 13, 2182, 68, 835, 602, 204, 264, 1097, 68, 835, 289, 421, 13, 1123, 19, 11062, 13, 21, 19, 23, 540, 1485, 68, 835, 602, 204, 264, 683, 68, 835, 289, 421, 13, 1123, 19, 11062, 13, 21, 19, 22, 540, 1485, 68, 835, 602, 204, 264, 951, 68, 835, 289, 1485, 68, 835, 338, 1097, 68, 835, 338, 683, 68, 835, 204, 204, 264, 645, 19, 2017, 19, 12446, 13, 3992, 14, 204, 264, 951, 68, 3992, 289, 3265, 2022, 1219, 68, 835, 66, 204, 264, 1097, 68, 3992, 289, 3265, 64, 1219, 68, 835, 31, 1219, 68, 835, 465, 1097, 68, 835, 66, 204, 264, 683, 68, 3992, 289, 3265, 64, 1219, 68, 835, 465, 1097, 68, 835, 5853, 204, 204, 264, 314, 666, 424, 1533, 1016, 375, 329, 18173, 204, 264, 951, 68, 22989, 289, 40294, 10300, 23834, 13, 1219, 68, 3992, 14, 204, 264, 1097, 68, 22989, 289, 40294, 10300, 23834, 13, 1018, 68, 3992, 14, 204, 264, 683, 68, 22989, 289, 40294, 10300, 23834, 13, 804, 68, 3992, 14, 204, 204, 264, 951, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 1219, 68, 22989, 17, 2068, 68, 835, 34, 1219, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 264, 1097, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 1018, 68, 22989, 17, 2068, 68, 835, 34, 1018, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 264, 683, 68, 3670, 289, 8641, 13, 2182, 17, 20858, 34, 804, 68, 22989, 17, 2068, 68, 835, 34, 804, 68, 2884, 68, 835, 17, 771, 68, 8938, 34, 22, 14, 204, 204, 264, 407, 951, 68, 3670, 17, 1097, 68, 3670, 17, 683, 68, 3670, 204, 204, 676, 13222, 5948, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 3277, 13222, 5266, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 2234, 13, 19965, 5948, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 4575, 22, 289, 2839, 19, 6769, 23, 73, 13, 24, 17, 887, 17, 720, 14, 204, 268, 370, 19, 5108, 289, 2839, 19, 25868, 23, 73, 13, 23, 17, 435, 14, 204, 268, 370, 19, 4575, 23, 289, 2839, 19, 6769, 23, 73, 13, 27, 17, 2247, 17, 720, 14, 204, 268, 370, 19, 6586, 22, 289, 2839, 19, 6446, 13, 1845, 540, 720, 540, 720, 17, 7219, 14, 204, 268, 370, 19, 6586, 23, 289, 2839, 19, 6446, 13, 9030, 17, 13451, 14, 204, 268, 370, 19, 6586, 24, 289, 2839, 19, 6446, 13, 6304, 17, 435, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 610, 330, 204, 268, 610, 289, 370, 19, 5108, 13, 2606, 19, 14213, 19, 5723, 13, 327, 19, 4575, 22, 13, 93, 3694, 204, 268, 610, 289, 370, 19, 5108, 13, 2606, 19, 14213, 19, 5723, 13, 327, 19, 4575, 23, 13, 93, 3694, 204, 268, 610, 289, 610, 19, 1529, 2422, 22, 17, 2247, 540, 720, 540, 720, 14, 204, 268, 610, 289, 2839, 19, 14213, 19, 5723, 13, 327, 19, 6586, 22, 13, 93, 602, 204, 268, 610, 289, 2839, 19, 14213, 19, 5723, 13, 327, 19, 6586, 23, 13, 93, 602, 204, 268, 610, 289, 370, 19, 6586, 24, 13, 93, 14, 204, 268, 407, 610, 204, 204, 461, 951, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 771, 68, 7064, 31, 421, 17, 23942, 31, 421, 17, 3100, 68, 1949, 31, 818, 17, 317, 23, 68, 29266, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 974, 275, 800, 424, 18173, 329, 11848, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 348, 19, 204, 268, 23942, 322, 339, 330, 334, 542, 302, 6175, 2900, 16558, 311, 5498, 2518, 16663, 1737, 19, 204, 268, 3100, 68, 1949, 322, 996, 330, 334, 3100, 2233, 19, 204, 268, 317, 23, 68, 29266, 322, 996, 330, 334, 480, 23, 14133, 5514, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2210, 741, 329, 4209, 204, 264, 2210, 68, 2539, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 1437, 19, 4647, 19, 25247, 13, 809, 19, 3465, 2144, 10264, 34, 6859, 68, 1949, 17, 2308, 68, 11560, 34, 81, 23, 68, 29266, 14, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 2765, 68, 1018, 68, 2650, 289, 818, 611, 3643, 534, 204, 264, 348, 3741, 292, 933, 13, 920, 68, 7064, 330, 204, 268, 314, 2672, 523, 275, 1737, 758, 204, 268, 570, 19, 1219, 374, 204, 268, 348, 2068, 292, 951, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 2068, 204, 305, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 2210, 68, 2539, 13, 7247, 17, 1769, 14, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 204, 268, 314, 4938, 523, 275, 3587, 758, 204, 268, 570, 19, 6844, 374, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 1097, 68, 2650, 289, 500, 204, 268, 1706, 289, 500, 204, 268, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 305, 348, 2068, 292, 1097, 68, 3670, 31, 204, 485, 3806, 17, 1769, 289, 2068, 204, 485, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 485, 6360, 289, 570, 13, 4599, 14, 204, 485, 2210, 289, 2210, 68, 2539, 13, 7247, 17, 1769, 14, 204, 485, 1097, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 485, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 17, 368, 14, 204, 485, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 204, 268, 314, 778, 348, 4744, 16663, 204, 268, 397, 3741, 1323, 23942, 329, 1097, 68, 2650, 1323, 2765, 68, 1018, 68, 2650, 31, 204, 305, 2280, 204, 268, 2765, 68, 1018, 68, 2650, 289, 1006, 13, 6222, 68, 1018, 68, 2650, 17, 1097, 68, 2650, 14, 204, 204, 268, 456, 13, 75, 12, 15934, 463, 4220, 16, 22, 1522, 2611, 11205, 31, 463, 1018, 68, 2650, 802, 1245, 13, 1018, 68, 3670, 18475, 204, 204, 461, 683, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 683, 68, 3670, 31, 8641, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 570, 974, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 683, 19, 204, 268, 683, 68, 3670, 322, 10535, 330, 334, 2907, 424, 6707, 19, 204, 264, 320, 204, 264, 570, 19, 6844, 374, 204, 264, 683, 68, 2650, 289, 500, 204, 264, 1706, 289, 500, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 2068, 292, 683, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 2068, 204, 305, 3806, 17, 1769, 289, 3806, 19, 6938, 2144, 1769, 19, 6938, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 2839, 19, 24987, 18826, 7247, 17, 1769, 14, 204, 305, 683, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 17, 368, 14, 204, 305, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 204, 264, 456, 13, 75, 12, 2346, 11205, 31, 463, 804, 68, 2650, 802, 1245, 13, 804, 68, 3670, 18475, 204, 264, 456, 13, 75, 12, 2346, 16151, 31, 463, 4381, 802, 1245, 13, 804, 68, 3670, 19, 2182, 18475, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 273, 13222, 5266, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7064, 491, 1187, 34, 339, 17, 1540, 34, 5551, 68, 14710, 17, 1340, 833, 4290, 302, 6175, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 42561, 491, 1187, 34, 339, 17, 1540, 34, 3707, 46, 16010, 17, 1340, 833, 4290, 302, 6175, 2900, 16558, 311, 5498, 2518, 16663, 1737, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7350, 491, 1187, 34, 996, 17, 1540, 34, 18290, 68, 9572, 17, 1340, 833, 16329, 2233, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 81, 23, 491, 1187, 34, 996, 17, 1540, 34, 49, 23, 68, 13712, 29718, 26056, 17, 1340, 833, 49, 23, 14133, 5514, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1385, 275, 1485, 204, 264, 3204, 289, 8112, 19, 16612, 1568, 204, 268, 8112, 19, 10300, 26706, 35181, 2144, 204, 268, 8112, 19, 10300, 34452, 13, 1036, 659, 204, 268, 8112, 19, 22604, 2144, 204, 268, 8112, 19, 25726, 1802, 21, 19, 26, 17, 500, 19, 26, 17, 500, 19, 26, 659, 322, 21, 19, 26, 17, 500, 19, 26, 17, 500, 19, 26, 602, 204, 264, 9174, 204, 264, 1485, 289, 1137, 68, 481, 24711, 6691, 481, 20, 39161, 68, 12737, 68, 31602, 20, 1219, 574, 491, 3204, 14, 204, 204, 264, 314, 666, 424, 18173, 204, 264, 951, 68, 3670, 17, 1097, 68, 3670, 17, 683, 68, 3670, 289, 838, 68, 481, 68, 24957, 13, 2182, 17, 29147, 68, 10710, 68, 2956, 17, 31912, 68, 10710, 68, 2956, 17, 15521, 68, 10710, 68, 2956, 14, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 570, 289, 13222, 5948, 374, 204, 264, 570, 19, 6938, 374, 204, 264, 951, 68, 809, 13, 809, 17, 951, 68, 3670, 17, 1097, 68, 3670, 17, 2042, 19, 7064, 17, 2042, 19, 42561, 17, 2042, 19, 7350, 17, 2042, 19, 81, 23, 14, 204, 204, 264, 314, 1295, 275, 570, 204, 264, 683, 68, 809, 13, 809, 17, 683, 68, 3670, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 24, 204, 204, 647, 2454, 204, 647, 3238, 204, 204, 461, 1151, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 4143, 273, 510, 329, 2584, 1163, 4578, 448, 273, 458, 302, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 444, 1151, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2238, 292, 275, 510, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 329, 407, 1163, 4578, 448, 273, 458, 302, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 9872, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 1583, 508, 1337, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 9749, 68, 2604, 13, 2604, 31, 458, 64, 325, 694, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 37377, 275, 2238, 560, 13931, 388, 45, 2166, 1119, 50, 7, 440, 388, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1119, 13370, 7, 397, 275, 1007, 3192, 388, 15982, 2948, 204, 204, 264, 457, 31, 204, 268, 2238, 322, 655, 64, 325, 1037, 332, 458, 302, 2238, 311, 444, 5846, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 5846, 2238, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 311, 9749, 275, 2238, 204, 264, 407, 551, 204, 268, 388, 1119, 13370, 226, 388, 465, 1007, 64, 27, 5853, 397, 1007, 2022, 27, 66, 564, 388, 45, 2166, 1119, 50, 7, 329, 1007, 64, 2314, 31, 1036, 66, 564, 388, 15982, 7, 902, 1007, 204, 268, 348, 1007, 292, 2238, 204, 264, 2437, 204, 204, 461, 2281, 68, 553, 13, 553, 68, 546, 31, 394, 17, 2238, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 275, 5846, 2238, 311, 275, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 444, 5052, 19, 204, 268, 2238, 322, 655, 64, 325, 1037, 332, 458, 302, 2238, 311, 444, 5052, 19, 204, 204, 264, 1632, 31, 204, 268, 24838, 31, 828, 7312, 353, 18698, 311, 2281, 311, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 2281, 2291, 329, 2281, 275, 5846, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 510, 31, 204, 305, 348, 1007, 292, 2238, 31, 204, 485, 314, 3182, 275, 9733, 1943, 630, 275, 1136, 302, 848, 1007, 204, 485, 456, 13, 1054, 9128, 22, 648, 510, 34, 553, 14, 204, 264, 827, 24838, 31, 204, 268, 314, 1426, 275, 1322, 1273, 7312, 353, 18698, 204, 268, 456, 13, 75, 7, 18474, 18698, 31, 463, 553, 68, 546, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 273, 510, 17, 37653, 1163, 2238, 17, 329, 13364, 275, 5846, 2238, 1818, 311, 275, 510, 19, 204, 264, 320, 204, 264, 314, 1974, 3238, 311, 2252, 1354, 1007, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 3339, 1204, 273, 510, 560, 13931, 379, 45, 2166, 1119, 50, 12, 440, 379, 1119, 13370, 12, 397, 275, 1007, 3192, 379, 15982, 17998, 204, 264, 1732, 19, 826, 68, 2389, 499, 553, 68, 546, 528, 1340, 1022, 673, 832, 311, 275, 510, 311, 444, 5846, 1280, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1606, 275, 510, 17, 9749, 1163, 2238, 17, 329, 2281, 275, 5846, 2238, 1818, 311, 275, 510, 204, 264, 2238, 289, 1151, 68, 553, 13, 1038, 19, 553, 68, 546, 14, 204, 264, 5846, 68, 2604, 289, 9749, 68, 2604, 13, 2604, 14, 204, 264, 2281, 68, 553, 13, 1038, 19, 553, 68, 546, 17, 5846, 68, 2604, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22844, 7455, 322, 39032, 464, 19615, 14, 204, 22844, 7455, 353, 273, 26805, 464, 19615, 10395, 496, 353, 1376, 292, 13727, 17, 6893, 329, 2907, 19, 10892, 7455, 353, 437, 2086, 1273, 273, 26805, 464, 8536, 5018, 273, 26744, 3776, 311, 2280, 1051, 521, 1182, 2828, 974, 275, 6173, 13374, 336, 292, 1017, 1838, 798, 19, 334, 26744, 3776, 353, 5971, 273, 1922, 521, 273, 6789, 17, 1101, 1741, 1425, 444, 273, 283, 299, 864, 579, 17, 39020, 17, 1526, 17, 31974, 17, 13781, 6045, 280, 17, 521, 28240, 19, 334, 1901, 2323, 726, 353, 273, 6285, 302, 8525, 17, 7239, 490, 353, 1425, 2323, 311, 2280, 26574, 521, 279, 3677, 6808, 19, 204, 22844, 7455, 618, 3667, 444, 5298, 292, 724, 290, 316, 17, 3507, 2385, 28816, 2663, 329, 284, 999, 934, 8529, 269, 19, 8257, 2187, 3662, 95, 529, 1425, 3556, 348, 2668, 329, 18389, 18711, 17, 1101, 508, 830, 15128, 302, 26805, 464, 19615, 2481, 1936, 21212, 523, 490, 521, 732, 490, 19, 592, 15128, 1273, 26744, 329, 22790, 299, 529, 2202, 3287, 329, 1422, 353, 437, 21212, 523, 1065, 453, 2772, 521, 12487, 569, 17, 18711, 353, 2202, 21253, 19, 40410, 11623, 26805, 464, 1838, 8229, 2481, 5680, 17, 397, 1169, 17, 21212, 523, 2668, 18, 33914, 17, 9504, 275, 1838, 302, 18711, 2828, 867, 3556, 448, 265, 341, 32940, 92, 815, 17, 1335, 275, 3557, 6296, 302, 313, 341, 823, 30530, 391, 521, 379, 804, 15454, 12, 353, 1376, 292, 27618, 19615, 19, 204, 4654, 30870, 18711, 618, 444, 1609, 523, 28672, 23925, 17, 542, 302, 2696, 13273, 292, 273, 800, 1690, 302, 690, 17, 542, 302, 2696, 13273, 440, 273, 2875, 16606, 17, 521, 690, 311, 2280, 273, 542, 302, 2696, 19, 3065, 529, 4569, 33206, 18711, 5981, 292, 4109, 30923, 302, 2688, 5594, 1702, 448, 275, 7551, 266, 2292, 6030, 19, 592, 273, 6893, 17, 273, 26805, 464, 8536, 34123, 1704, 521, 2830, 9365, 560, 14026, 437, 4219, 1195, 90, 521, 556, 573, 84, 861, 35272, 1767, 302, 19409, 348, 437, 16056, 19, 14358, 464, 19615, 8229, 8489, 6548, 16342, 19409, 292, 1552, 311, 6061, 3566, 516, 329, 35782, 24146, 521, 15063, 19, 204, 16901, 23512, 2907, 17, 1910, 15128, 302, 26805, 464, 19615, 4426, 496, 2459, 6548, 1017, 6173, 560, 14026, 19409, 32, 275, 11447, 302, 273, 1945, 2280, 8788, 523, 275, 4849, 348, 928, 275, 2384, 353, 2907, 19, 43469, 311, 4490, 273, 1945, 2280, 353, 3667, 9133, 24115, 348, 8228, 302, 273, 23512, 683, 19, 204, 47550, 278, 19482, 529, 275, 1901, 2323, 18711, 1184, 292, 1901, 26805, 464, 19615, 17, 21812, 19482, 1376, 1741, 933, 497, 23849, 7539, 448, 2637, 448, 887, 7, 93, 1258, 7, 93, 22, 7, 311, 448, 3403, 448, 1598, 7, 93, 1258, 7, 93, 22, 7, 322, 70, 2668, 440, 273, 23849, 2198, 302, 368, 7, 869, 437, 2641, 2198, 302, 571, 20, 25, 5561, 334, 13713, 6986, 2907, 2668, 353, 5387, 931, 7, 93, 1258, 7, 93, 22, 2948, 204, 673, 19341, 302, 275, 2668, 1631, 444, 4581, 754, 448, 311, 444, 5966, 440, 275, 26744, 1922, 19, 204, 24918, 1741, 732, 15064, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 270, 329, 377, 9424, 19482, 17, 440, 681, 329, 720, 1324, 3299, 88, 8489, 18711, 19482, 448, 2637, 448, 681, 7, 93, 1258, 7, 93, 22, 20, 23, 528, 329, 1422, 529, 1425, 12686, 19482, 2927, 302, 1792, 21966, 3379, 928, 618, 10140, 275, 11447, 1870, 8033, 292, 18711, 19, 204, 3742, 1834, 3062, 3192, 8506, 17, 15048, 17, 521, 1662, 18, 633, 1666, 19, 322, 18102, 10072, 10808, 204, 837, 4303, 17, 18711, 353, 1376, 1855, 448, 273, 1216, 302, 13978, 2955, 302, 27619, 348, 26805, 464, 15286, 17, 448, 1422, 867, 1236, 904, 2501, 311, 770, 808, 329, 1698, 10547, 874, 7204, 1702, 448, 4824, 39334, 1742, 1376, 292, 26805, 464, 19615, 17, 329, 448, 273, 7654, 302, 9563, 13482, 2129, 17, 275, 7103, 302, 275, 6832, 329, 2484, 311, 20966, 19, 204, 4630, 3483, 17, 273, 26805, 464, 8536, 20176, 292, 18711, 1120, 6296, 560, 20628, 29288, 5027, 15220, 19, 32386, 312, 2103, 90, 650, 94, 8691, 17, 273, 12178, 2280, 270, 1415, 867, 3556, 348, 18711, 275, 4057, 853, 2258, 26314, 88, 17, 1784, 732, 7223, 19, 592, 724, 290, 316, 17, 273, 2322, 3250, 273, 425, 14148, 9344, 70, 353, 1376, 32, 808, 2322, 869, 1193, 1182, 7458, 732, 560, 33854, 302, 904, 26805, 464, 19615, 5319, 19, 592, 275, 5378, 17, 44543, 46680, 329, 904, 10407, 26805, 464, 15286, 1784, 732, 1910, 1792, 3003, 302, 7204, 292, 1552, 311, 2407, 7105, 17, 508, 4501, 348, 7493, 18711, 17, 1101, 974, 275, 1729, 7345, 1376, 5319, 19, 1765, 1014, 17, 1422, 353, 28031, 17265, 82, 17, 28031, 2541, 266, 17, 28031, 2541, 17121, 17, 28031, 19977, 17, 329, 904, 3003, 302, 1737, 928, 3466, 3332, 31080, 4109, 3576, 302, 275, 2484, 754, 1250, 2549, 37808, 521, 5190, 18995, 88, 1702, 448, 2075, 353, 5298, 5319, 292, 26805, 464, 19615, 18711, 19, 8624, 9619, 5194, 1425, 529, 302, 275, 3859, 302, 6183, 496, 388, 15517, 2796, 7, 521, 23988, 353, 1376, 1330, 18711, 17, 928, 353, 508, 10742, 6982, 12559, 8001, 329, 2484, 2308, 19, 204, 673, 4303, 11362, 1376, 292, 26805, 464, 19615, 18711, 1737, 353, 3557, 311, 275, 1729, 11362, 1376, 348, 1901, 14738, 1592, 1154, 19, 334, 2484, 8649, 88, 311, 7443, 19, 3065, 529, 8628, 2327, 4549, 273, 26805, 464, 19615, 2280, 270, 31880, 311, 2955, 1017, 2484, 311, 8649, 311, 31, 275, 16995, 17, 275, 7498, 322, 2960, 5792, 659, 329, 15911, 322, 1538, 1855, 3284, 329, 2969, 789, 334, 4303, 11316, 3237, 5323, 348, 1014, 17, 348, 275, 16995, 5323, 353, 1193, 292, 32001, 897, 677, 3938, 17, 928, 3584, 496, 275, 45398, 1561, 1120, 17, 1877, 21575, 17, 444, 19356, 397, 13775, 353, 4481, 311, 490, 19, 40, 321, 352, 6742, 45070, 88, 12938, 808, 7156, 1877, 18711, 1922, 292, 47192, 13978, 12790, 6096, 1675, 13978, 12790, 6096, 1877, 21575, 19, 592, 808, 11621, 275, 18711, 45172, 29233, 508, 22177, 273, 2484, 12245, 1415, 5994, 685, 440, 3093, 17, 1675, 5178, 273, 3155, 302, 3022, 311, 25494, 329, 2512, 275, 15911, 311, 3891, 1818, 19356, 19, 204, 1834, 5568, 302, 1737, 353, 3250, 388, 10404, 545, 6795, 1737, 24724, 3020, 13194, 1737, 348, 1182, 1483, 19, 26707, 6108, 292, 2484, 4147, 618, 444, 5298, 292, 275, 798, 302, 17959, 23724, 1283, 273, 18711, 45172, 329, 273, 1950, 18, 85, 829, 639, 270, 19, 34864, 791, 74, 1405, 17, 273, 21369, 2280, 270, 17, 34179, 292, 1704, 2016, 275, 1265, 302, 273, 425, 14148, 9344, 70, 329, 13781, 6045, 280, 7915, 18, 8263, 19, 5424, 13781, 6045, 280, 7915, 18, 8263, 17, 566, 29036, 4145, 523, 44068, 476, 8224, 3821, 329, 4636, 1214, 2501, 719, 311, 12939, 19, 204, 3322, 11595, 20, 60, 11595, 11462, 270, 412, 10543, 3983, 3084, 84, 17, 15592, 302, 275, 38479, 388, 22844, 7455, 5610, 26289, 528, 28534, 33854, 311, 20114, 2931, 275, 11447, 329, 1690, 302, 273, 3821, 311, 4516, 13775, 19, 2474, 10846, 496, 4959, 5483, 1856, 1012, 440, 8525, 19482, 329, 2931, 275, 1690, 448, 13862, 426, 92, 1055, 7529, 19, 13128, 273, 1870, 302, 14236, 17, 1855, 23493, 329, 37027, 17, 353, 7486, 17, 22274, 7186, 1702, 448, 12939, 618, 444, 22254, 19, 204, 2841, 529, 8820, 14453, 440, 26805, 464, 19615, 18711, 17, 754, 1051, 1856, 9605, 685, 437, 22645, 19, 3065, 529, 1910, 2637, 16995, 302, 275, 6789, 329, 1922, 928, 1519, 311, 444, 3060, 15858, 329, 16811, 2407, 336, 348, 8820, 19, 13939, 756, 7034, 311, 275, 1718, 957, 20253, 2770, 302, 275, 13781, 6045, 793, 618, 3014, 311, 2482, 3018, 3490, 440, 355, 41753, 516, 19, 204, 20900, 9790, 19, 9554, 9790, 19, 9083, 12518, 9790, 15323, 15990, 204, 97, 1834, 4446, 1583, 508, 31748, 1169, 13165, 521, 6651, 19, 322, 31532, 9300, 10808, 204, 2841, 529, 8628, 571, 34609, 302, 19409, 31, 2969, 19409, 17, 2347, 19409, 17, 329, 5571, 19409, 19, 3065, 353, 273, 681, 427, 17, 28640, 18, 4917, 17, 6980, 3556, 448, 275, 22223, 2280, 19, 204, 20900, 19409, 529, 19409, 1273, 275, 26744, 726, 353, 508, 8923, 292, 2481, 19, 334, 1698, 2501, 311, 2280, 275, 726, 353, 311, 16606, 275, 3776, 440, 9133, 2969, 630, 273, 14814, 917, 302, 5800, 19, 20410, 273, 2668, 311, 444, 13273, 353, 8923, 48541, 1283, 970, 22042, 560, 273, 1874, 32, 437, 11772, 28524, 683, 1741, 10649, 437, 4809, 311, 2280, 273, 2668, 448, 490, 14646, 1924, 275, 3585, 19, 3999, 37597, 302, 275, 8001, 302, 275, 394, 78, 3046, 17, 275, 2668, 1120, 1698, 2280, 397, 490, 353, 26988, 440, 9133, 3581, 19, 204, 12129, 1187, 302, 388, 20900, 15990, 7, 353, 496, 928, 5628, 18711, 273, 542, 302, 2828, 1048, 273, 800, 1690, 302, 690, 19, 332, 2323, 690, 9659, 353, 368, 8054, 17, 1101, 808, 618, 10140, 10625, 523, 275, 3821, 329, 24225, 19, 592, 13727, 490, 353, 3060, 2323, 348, 273, 2969, 18711, 2851, 311, 2689, 275, 690, 311, 1132, 4154, 1003, 3331, 17, 26975, 1182, 40649, 311, 18715, 19, 26289, 329, 2824, 88, 529, 12527, 3234, 302, 560, 6043, 26805, 464, 19615, 18711, 12488, 1702, 448, 275, 5481, 11595, 20, 60, 11595, 322, 32594, 5439, 329, 5179, 10892, 7455, 9825, 657, 14, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 329, 275, 10125, 30908, 322, 37683, 34324, 20669, 316, 12496, 789, 204, 17882, 19409, 529, 19409, 1273, 275, 26744, 726, 353, 6300, 19, 35172, 275, 2280, 1120, 5897, 3651, 5148, 375, 348, 5954, 17, 9955, 17, 521, 20515, 6329, 27619, 17, 521, 275, 2280, 1120, 4426, 496, 275, 2828, 444, 25417, 348, 22650, 6329, 27619, 19, 1765, 273, 25417, 2280, 275, 726, 353, 8210, 523, 406, 298, 7198, 17313, 2828, 17, 1702, 448, 12939, 6808, 17, 496, 529, 8210, 523, 275, 4410, 19, 8624, 1848, 26206, 322, 14118, 3450, 2518, 5218, 26206, 14, 23512, 2907, 19409, 529, 2347, 19409, 3217, 286, 353, 32530, 9509, 348, 437, 292, 18292, 73, 1874, 311, 1631, 270, 9133, 2796, 311, 2280, 273, 23848, 2668, 440, 273, 2347, 2280, 322, 7108, 17, 808, 353, 508, 3597, 348, 830, 19409, 789, 334, 15596, 9794, 302, 1605, 5897, 3651, 2668, 5148, 375, 19, 26707, 273, 19356, 521, 1182, 10652, 394, 78, 3046, 1741, 8776, 1429, 8001, 348, 10395, 329, 4073, 25919, 275, 2280, 19, 9496, 5594, 496, 529, 10798, 6044, 529, 348, 2347, 19409, 19, 1547, 353, 3060, 2323, 348, 5218, 26206, 4394, 311, 732, 26574, 17, 12939, 284, 2763, 6808, 17, 521, 4569, 19482, 25417, 523, 1913, 302, 17313, 2828, 348, 16342, 22650, 27619, 19, 204, 57, 10578, 19482, 529, 8489, 1376, 311, 47528, 275, 1690, 302, 3651, 8142, 497, 275, 5148, 375, 348, 273, 2280, 19, 1547, 353, 3060, 5362, 311, 5148, 273, 3194, 302, 19482, 1182, 1194, 681, 6887, 39868, 5256, 348, 16342, 2280, 19, 6263, 17, 1429, 394, 3278, 375, 1120, 16649, 273, 3194, 302, 19482, 4430, 311, 1895, 273, 388, 36820, 7, 348, 1017, 5148, 375, 311, 5148, 19, 33797, 5862, 17, 683, 19409, 630, 5516, 34513, 329, 3780, 529, 3870, 2900, 265, 10578, 19482, 19, 204, 11354, 275, 2969, 329, 2347, 19409, 10580, 275, 2796, 1945, 311, 20966, 275, 2162, 329, 12952, 288, 6971, 302, 275, 2668, 1924, 3284, 11492, 17, 1273, 275, 11459, 2796, 353, 800, 560, 368, 20, 23, 309, 15, 91, 23, 19, 7054, 353, 17, 4260, 275, 2969, 302, 275, 26744, 3288, 322, 4659, 20, 16138, 20, 23186, 14, 869, 311, 444, 2223, 5256, 17, 521, 275, 394, 78, 3046, 1631, 444, 6556, 5256, 311, 2931, 6639, 3284, 10342, 1025, 275, 2280, 322, 78, 19, 74, 19, 1704, 521, 2830, 2484, 2308, 14, 311, 15464, 275, 18389, 20, 2052, 677, 3442, 19, 1765, 2875, 19482, 17, 490, 353, 8628, 7249, 322, 402, 292, 275, 28921, 1874, 869, 273, 9133, 23816, 302, 3284, 14, 311, 5288, 808, 3442, 1924, 273, 2347, 2280, 19, 204, 673, 4986, 1216, 17, 5571, 19409, 17, 1425, 3556, 448, 388, 14148, 7, 19409, 10649, 275, 732, 302, 29520, 45792, 27619, 1698, 19, 334, 3821, 353, 5971, 6300, 17, 20566, 17, 523, 970, 10045, 19, 334, 2280, 270, 10036, 1017, 1922, 329, 31408, 275, 29520, 16606, 5573, 17, 560, 275, 732, 302, 8770, 9999, 329, 1236, 12559, 2347, 17, 7883, 275, 3821, 19, 334, 3821, 353, 13273, 560, 2796, 6728, 830, 275, 2501, 1924, 17, 292, 273, 3422, 1007, 497, 275, 29520, 17, 275, 3821, 19, 1547, 353, 1425, 1924, 273, 22376, 1864, 302, 5800, 329, 5971, 8095, 1182, 7034, 1194, 904, 27619, 19, 1058, 2280, 353, 273, 14092, 311, 26744, 273, 1874, 440, 273, 297, 4826, 19, 332, 29520, 16606, 618, 3253, 3171, 7599, 7034, 1335, 273, 38870, 17, 521, 3557, 16606, 17, 3253, 1182, 8348, 19, 11240, 17, 273, 5571, 16606, 1741, 8720, 273, 4720, 2434, 1335, 1901, 5800, 27619, 8720, 1182, 19, 2334, 1874, 302, 1169, 2523, 17, 1702, 448, 28795, 1880, 719, 311, 5074, 329, 4950, 2181, 302, 2523, 17, 618, 770, 808, 2280, 329, 6202, 24672, 8094, 562, 7105, 19, 334, 1901, 9233, 13775, 1741, 444, 273, 29520, 496, 265, 43630, 397, 275, 2280, 353, 508, 2707, 19, 15990, 88, 302, 1182, 1194, 1051, 6285, 302, 3821, 17, 3870, 440, 1236, 37536, 375, 17, 440, 808, 1216, 529, 1425, 21851, 578, 560, 1880, 302, 1169, 2523, 521, 6978, 19, 334, 4398, 2752, 630, 275, 5533, 302, 275, 1472, 5913, 361, 9026, 22308, 1652, 1486, 9584, 21013, 449, 17, 302, 275, 5946, 23386, 14358, 464, 23975, 12496, 329, 275, 1233, 427, 5746, 29200, 2541, 266, 565, 398, 12892, 8319, 17, 353, 6680, 9116, 5571, 18711, 10395, 19, 204, 31608, 44915, 1792, 17, 275, 681, 427, 5568, 302, 2280, 5323, 275, 22223, 2280, 5323, 353, 3667, 26955, 440, 273, 2969, 2280, 17, 2404, 275, 26744, 3288, 618, 322, 780, 1519, 508, 14, 5288, 273, 2223, 2969, 19, 3846, 496, 353, 1273, 275, 8027, 10045, 19, 334, 2796, 12929, 497, 437, 22223, 2280, 47832, 508, 497, 3284, 11492, 17, 1101, 497, 5054, 12929, 19, 322, 5039, 437, 12724, 5054, 14913, 273, 24991, 14, 334, 3284, 302, 275, 1922, 20, 16138, 20, 23186, 1583, 508, 5886, 3171, 5395, 1194, 3600, 311, 10580, 275, 5054, 3217, 11813, 1563, 292, 437, 12549, 8987, 3754, 440, 275, 18389, 521, 2668, 3469, 322, 402, 20580, 311, 6186, 388, 15838, 490, 3186, 329, 275, 5054, 5398, 8095, 275, 26744, 3776, 311, 12952, 329, 42297, 280, 19, 334, 2202, 21296, 275, 26744, 3776, 17, 275, 1182, 5508, 311, 2280, 19, 204, 12988, 76, 2669, 9790, 19, 794, 15031, 2669, 322, 2816, 73, 9790, 19, 794, 2816, 73, 14, 204, 97, 1834, 4446, 1583, 508, 31748, 1169, 13165, 521, 6651, 19, 322, 31532, 9300, 10808, 204, 2841, 529, 970, 3003, 302, 3536, 25417, 2668, 2557, 31, 34229, 2669, 322, 2816, 73, 14, 329, 794, 15031, 2669, 322, 350, 2816, 73, 789, 1628, 15031, 2669, 24183, 529, 1273, 3536, 2696, 529, 25417, 5104, 523, 1913, 302, 848, 904, 19, 204, 12988, 76, 2669, 24183, 529, 24183, 1273, 3536, 2696, 529, 25417, 440, 18650, 2696, 322, 31751, 13018, 311, 448, 37536, 375, 14, 1283, 1475, 17, 5971, 8525, 37536, 375, 19, 388, 3739, 15031, 2669, 7, 3194, 299, 6876, 273, 3422, 6728, 302, 11459, 2796, 329, 275, 394, 78, 3046, 1631, 6618, 7942, 2955, 3171, 6397, 1194, 437, 388, 15031, 2669, 7, 3194, 448, 275, 394, 78, 3046, 6315, 1873, 1924, 275, 20607, 1250, 529, 11969, 299, 275, 6795, 302, 848, 2668, 26925, 5976, 302, 4141, 5256, 2955, 311, 12952, 329, 2280, 437, 5641, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3194, 794, 2816, 73, 3343, 204, 1834, 353, 3913, 311, 275, 2501, 292, 928, 275, 970, 7186, 2280, 19, 18040, 17, 928, 353, 273, 4193, 9012, 26319, 1525, 17, 12952, 301, 311, 273, 4153, 5746, 2518, 490, 4940, 4691, 630, 275, 1029, 917, 19, 4168, 794, 15031, 2669, 17, 808, 6876, 348, 437, 5641, 3194, 302, 8525, 311, 12952, 6982, 5800, 17, 6465, 292, 275, 2280, 16508, 292, 275, 1552, 302, 22021, 1947, 274, 2668, 497, 5800, 311, 275, 8462, 2668, 322, 281, 42760, 273, 4628, 302, 273, 1350, 2712, 41544, 848, 2668, 17, 4461, 490, 6743, 28391, 789, 1058, 618, 444, 35875, 292, 1910, 1236, 1033, 37615, 1273, 275, 21315, 2668, 1120, 2280, 17, 1101, 275, 4017, 1913, 19482, 529, 34456, 19, 4168, 34229, 2669, 17, 275, 10602, 1283, 275, 19482, 11214, 286, 675, 848, 3509, 2668, 311, 12952, 329, 31377, 2518, 275, 1682, 2668, 353, 7486, 292, 39192, 19, 16730, 8156, 17, 523, 275, 904, 1922, 17, 529, 44881, 17, 329, 31377, 322, 276, 691, 1192, 14, 6982, 5800, 17, 440, 1236, 12952, 2086, 19, 204, 5681, 974, 273, 34229, 2669, 3440, 17, 275, 3219, 329, 47490, 302, 275, 1464, 405, 353, 6793, 19, 2001, 310, 12763, 1225, 12549, 3671, 440, 1017, 3384, 311, 4897, 496, 848, 34229, 353, 292, 2133, 2852, 329, 1120, 508, 5752, 19, 332, 34229, 496, 19676, 497, 1163, 2852, 618, 14963, 35673, 440, 275, 8926, 2280, 302, 275, 3194, 19, 828, 16957, 19311, 329, 7935, 529, 508, 4768, 17, 1464, 405, 1120, 8978, 5752, 1882, 275, 1419, 3194, 329, 5465, 302, 275, 2280, 19, 204, 1046, 6518, 284, 2763, 6808, 17, 1376, 292, 1901, 4376, 18711, 41771, 17, 4426, 275, 46877, 311, 388, 823, 1821, 7, 275, 3821, 329, 10312, 1924, 497, 1913, 311, 5533, 19, 204, 8273, 10567, 302, 7186, 292, 13727, 353, 1425, 3287, 311, 9393, 273, 4199, 8427, 311, 444, 7634, 448, 275, 542, 302, 25417, 2696, 7529, 19, 16655, 402, 273, 2689, 302, 5544, 794, 2816, 73, 284, 2763, 6808, 1741, 444, 273, 2323, 9583, 299, 917, 497, 1051, 46877, 311, 3161, 17, 273, 3194, 302, 32901, 284, 2763, 6808, 618, 1308, 1182, 2558, 2404, 302, 275, 6863, 7048, 17, 928, 1120, 15064, 275, 1242, 302, 40649, 19, 1058, 732, 302, 37536, 375, 5814, 13727, 1182, 8175, 329, 23211, 348, 40649, 329, 6320, 2471, 28546, 19, 204, 18, 388, 32594, 5439, 329, 5179, 10892, 7455, 12496, 2948, 5481, 11595, 317, 24767, 19, 12200, 10902, 18, 8265, 18, 1909, 19, 204, 18, 37884, 779, 2881, 266, 11053, 19, 388, 47009, 650, 94, 8691, 3343, 4778, 1963, 4537, 19, 11825, 779, 2881, 266, 4453, 7132, 19, 1453, 20, 88, 20483, 936, 94, 8691, 19, 27022, 204, 18, 791, 74, 1405, 17, 34864, 17, 329, 13809, 501, 19, 18410, 1486, 19, 9554, 10892, 7455, 31, 2026, 311, 19370, 329, 1974, 10892, 7455, 30805, 348, 23036, 18, 7146, 2619, 19, 204, 18, 3983, 3084, 84, 17, 412, 10543, 17, 329, 37174, 628, 668, 389, 19, 10892, 7455, 5610, 26289, 19, 11347, 19, 4778, 1963, 4537, 19, 14301, 395, 812, 1219, 880, 27085, 88, 19, 1453, 20, 29450, 10, 1036, 6188, 19, 27022, 204, 18, 552, 1156, 71, 619, 17, 6901, 19, 20669, 316, 10892, 7455, 42586, 31, 5424, 44821, 18190, 311, 23036, 18, 7146, 2619, 19, 0, 676, 3744, 8537, 22122, 3313, 31, 204, 264, 320, 204, 264, 332, 850, 311, 4204, 10242, 1019, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 881, 17, 3686, 17, 329, 4032, 10242, 1019, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1392, 955, 311, 1640, 10242, 1019, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 955, 311, 1640, 10242, 1019, 204, 268, 370, 19, 22935, 68, 1309, 31, 1135, 64, 325, 17, 726, 66, 289, 2087, 204, 204, 264, 436, 881, 68, 876, 13, 327, 17, 896, 31, 394, 17, 700, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 10242, 700, 311, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 305, 700, 322, 1386, 330, 334, 10242, 700, 19, 204, 268, 320, 204, 268, 314, 1255, 275, 10242, 700, 311, 275, 955, 204, 268, 370, 19, 22935, 68, 1309, 64, 644, 66, 289, 700, 204, 204, 264, 436, 636, 68, 876, 13, 327, 17, 896, 31, 394, 14, 393, 726, 1152, 443, 31, 204, 268, 320, 204, 268, 4071, 437, 10242, 700, 497, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 204, 268, 475, 31, 204, 305, 726, 1152, 443, 31, 334, 10242, 700, 397, 490, 2560, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 4491, 275, 10242, 700, 497, 275, 955, 204, 268, 407, 370, 19, 22935, 68, 1309, 19, 505, 13, 644, 14, 204, 204, 264, 436, 4032, 68, 876, 13, 327, 17, 896, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 437, 10242, 700, 497, 275, 955, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 325, 330, 334, 896, 348, 275, 10242, 700, 19, 204, 268, 320, 204, 268, 314, 6117, 275, 10242, 700, 497, 275, 955, 397, 490, 2560, 204, 268, 397, 896, 292, 370, 19, 22935, 68, 1309, 31, 204, 305, 6924, 370, 19, 22935, 68, 1309, 64, 644, 66, 204, 204, 264, 436, 456, 68, 22935, 68, 1309, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 10242, 1019, 19, 204, 268, 320, 204, 268, 314, 1198, 830, 10242, 1019, 204, 268, 348, 896, 17, 700, 292, 370, 19, 22935, 68, 1309, 19, 1996, 1293, 204, 305, 456, 13, 75, 1954, 644, 2829, 463, 876, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 1662, 311, 732, 275, 3744, 8537, 22122, 3313, 850, 19, 204, 264, 320, 204, 264, 314, 666, 437, 1014, 302, 275, 3744, 8537, 22122, 3313, 850, 204, 264, 4000, 289, 3744, 8537, 22122, 3313, 374, 204, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 314, 1255, 10242, 1019, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 11143, 528, 931, 14, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 16190, 528, 959, 14, 204, 264, 4000, 19, 826, 68, 876, 499, 10951, 8537, 6109, 528, 388, 22469, 7113, 431, 204, 204, 264, 314, 1198, 10242, 1019, 204, 264, 456, 499, 10951, 8537, 16516, 2212, 204, 264, 4000, 19, 2102, 68, 22935, 68, 1309, 374, 204, 204, 264, 314, 6117, 437, 10242, 700, 204, 264, 4000, 19, 2756, 68, 876, 499, 10951, 8537, 16190, 431, 204, 204, 264, 314, 1198, 4017, 10242, 1019, 204, 264, 456, 3273, 83, 42873, 3744, 8537, 16516, 2212, 204, 264, 4000, 19, 2102, 68, 22935, 68, 1309, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1040, 68, 15391, 68, 4324, 13, 920, 68, 3337, 31, 421, 17, 1348, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 7152, 292, 275, 1348, 1877, 13931, 1950, 18, 15391, 1892, 440, 7152, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 275, 1348, 19, 204, 268, 1348, 322, 655, 64, 339, 1037, 334, 537, 1348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 7152, 292, 275, 1348, 17, 521, 338, 22, 397, 830, 1842, 529, 7152, 19, 204, 264, 320, 204, 264, 314, 977, 275, 1812, 6920, 1534, 204, 264, 1812, 68, 4649, 289, 368, 204, 204, 264, 314, 1861, 1048, 275, 1348, 329, 4066, 1950, 18, 15391, 1892, 440, 7152, 204, 264, 348, 296, 292, 933, 13, 920, 68, 3337, 330, 204, 268, 314, 778, 397, 275, 790, 1103, 353, 508, 1936, 311, 275, 1812, 1534, 204, 268, 397, 1348, 64, 78, 66, 2167, 1812, 68, 4649, 31, 204, 305, 1348, 64, 78, 66, 289, 500, 204, 268, 902, 31, 204, 305, 314, 7415, 275, 1812, 1534, 397, 275, 790, 1103, 353, 6920, 204, 305, 1812, 68, 4649, 1412, 368, 204, 204, 264, 314, 3398, 275, 542, 302, 7152, 292, 275, 1348, 204, 264, 2962, 68, 765, 289, 1348, 19, 765, 13, 21, 14, 204, 204, 264, 314, 455, 338, 22, 397, 830, 1842, 529, 7152, 17, 2130, 407, 275, 2962, 1040, 204, 264, 407, 338, 22, 397, 2962, 68, 765, 564, 771, 68, 3337, 902, 2962, 68, 765, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 3596, 275, 542, 302, 1842, 329, 275, 1348, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 458, 64, 339, 2440, 332, 927, 1174, 275, 542, 302, 1842, 329, 275, 1348, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 264, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 204, 264, 314, 763, 275, 1348, 497, 275, 575, 204, 264, 1348, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 1348, 1842, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 204, 264, 407, 771, 68, 3337, 17, 1348, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 7987, 275, 1040, 68, 15391, 68, 4324, 741, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 1842, 329, 275, 1348, 497, 275, 575, 204, 264, 771, 68, 3337, 17, 1348, 289, 636, 68, 816, 68, 768, 374, 204, 204, 264, 314, 4889, 275, 1040, 68, 15391, 68, 4324, 741, 329, 456, 275, 722, 204, 264, 722, 289, 1040, 68, 15391, 68, 4324, 13, 920, 68, 3337, 17, 1348, 14, 204, 264, 456, 499, 673, 542, 302, 7152, 292, 275, 1348, 353, 2180, 722, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2164, 204, 647, 23656, 204, 647, 3238, 204, 204, 461, 4065, 68, 45676, 13, 3751, 68, 932, 31, 394, 17, 2270, 68, 1190, 31, 394, 17, 2270, 68, 765, 31, 421, 17, 1779, 68, 4830, 31, 394, 17, 7777, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8467, 24703, 497, 275, 1713, 1274, 329, 2106, 1475, 311, 273, 3221, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 2270, 68, 932, 322, 325, 330, 334, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 3930, 204, 268, 2270, 68, 1190, 322, 325, 330, 334, 2270, 542, 19, 204, 268, 2270, 68, 765, 322, 339, 330, 334, 2270, 1040, 19, 204, 268, 1779, 68, 4830, 322, 325, 330, 334, 4016, 348, 275, 1274, 19, 204, 268, 7777, 322, 873, 330, 332, 955, 4707, 2270, 3003, 311, 1017, 12428, 7777, 19, 204, 264, 320, 204, 264, 314, 666, 275, 23909, 348, 275, 2270, 204, 264, 2270, 68, 37599, 289, 283, 7, 3751, 88, 4235, 3751, 68, 932, 7449, 3751, 68, 1190, 15999, 3751, 68, 765, 2495, 204, 264, 1127, 19, 8240, 13, 3751, 68, 37599, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 264, 314, 5128, 275, 1274, 348, 275, 24703, 204, 264, 1779, 289, 283, 1954, 805, 68, 4830, 8246, 8929, 64, 3751, 68, 932, 7916, 4235, 3751, 68, 1190, 8246, 3751, 68, 1190, 15999, 3751, 68, 765, 5865, 45676, 19, 5714, 7, 204, 264, 456, 13, 75, 7, 35522, 24703, 497, 31, 463, 805, 743, 204, 204, 264, 810, 31, 204, 268, 314, 8467, 275, 24703, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 204, 268, 314, 3025, 275, 24703, 311, 273, 4337, 510, 204, 268, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3186, 388, 9220, 431, 448, 510, 31, 204, 305, 510, 19, 2206, 13, 1935, 19, 2387, 14, 204, 204, 268, 314, 1986, 275, 24703, 497, 275, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4337, 510, 204, 268, 440, 23656, 19, 32961, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3186, 388, 87, 431, 448, 4337, 68, 3484, 31, 204, 305, 4337, 68, 3484, 19, 5184, 668, 13, 3751, 68, 37599, 14, 204, 204, 268, 314, 3182, 275, 4337, 510, 204, 268, 1127, 19, 3956, 13, 865, 19, 546, 19, 1541, 13, 3751, 68, 37599, 17, 388, 45676, 19, 5714, 3687, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16950, 24703, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 348, 275, 3467, 19, 204, 204, 264, 29342, 88, 275, 2631, 1354, 18, 1054, 1906, 31, 204, 264, 2270, 31, 334, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 3930, 204, 264, 2270, 920, 31, 334, 2270, 542, 19, 204, 264, 2270, 765, 31, 334, 2270, 1040, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 15695, 24703, 497, 273, 2270, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 528, 1340, 1022, 673, 2270, 1187, 322, 74, 19, 76, 19, 379, 20766, 4187, 12, 521, 379, 23473, 23, 7129, 534, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 920, 528, 1340, 1022, 673, 2270, 542, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 3751, 765, 528, 1340, 1022, 673, 2270, 1040, 528, 1187, 34, 339, 14, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 968, 275, 1274, 4016, 329, 7777, 204, 264, 1779, 68, 4830, 289, 388, 3189, 1963, 23473, 23, 7129, 18, 9154, 19, 88, 24, 19, 36366, 19, 1453, 7, 204, 264, 7777, 289, 463, 204, 268, 388, 20766, 4187, 559, 388, 85, 365, 398, 266, 20, 20766, 4187, 18, 23473, 23, 7129, 18, 9154, 528, 204, 268, 388, 23473, 23, 7129, 559, 388, 23473, 23, 7129, 20, 23473, 23, 7129, 7, 204, 264, 1211, 204, 204, 264, 314, 8467, 24703, 348, 848, 2270, 1040, 204, 264, 348, 296, 292, 933, 13, 22, 17, 2042, 19, 3751, 765, 465, 368, 330, 204, 268, 4065, 68, 45676, 13, 1038, 19, 3751, 17, 2042, 19, 3751, 920, 17, 296, 17, 1779, 68, 4830, 17, 7777, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 12947, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 4123, 17, 1779, 68, 1538, 204, 531, 4433, 68, 37987, 532, 48199, 204, 647, 11088, 68, 25679, 204, 647, 1361, 204, 204, 8, 666, 273, 2082, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 6153, 275, 7450, 1727, 204, 748, 19, 1087, 1166, 20521, 68, 12450, 1339, 289, 388, 17454, 1963, 7714, 31, 35597, 20, 45691, 68, 748, 7, 204, 8946, 289, 48199, 13, 748, 14, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 18640, 424, 497, 13873, 974, 275, 11088, 68, 25679, 2413, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 18044, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 18640, 424, 497, 13873, 204, 268, 407, 11088, 68, 25679, 19, 26410, 68, 668, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 20259, 424, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1395, 68, 25679, 68, 2819, 13, 481, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 275, 13873, 68, 748, 1104, 440, 275, 18044, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 873, 330, 332, 955, 1174, 275, 18044, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1716, 275, 1104, 204, 268, 14767, 19, 1479, 19, 25679, 68, 1270, 19, 2045, 40321, 424, 17, 719, 2365, 34, 1021, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 9683, 1104, 31, 463, 74, 743, 204, 204, 37, 748, 19, 3955, 19255, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4784, 275, 1112, 2399, 440, 275, 13873, 424, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 1112, 2399, 19, 204, 264, 320, 204, 264, 314, 763, 275, 13873, 424, 497, 275, 1104, 204, 264, 28467, 68, 481, 289, 14767, 19, 1479, 19, 25679, 68, 1270, 19, 2269, 68, 389, 374, 204, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 28467, 34, 25679, 68, 481, 14, 204, 204, 37, 748, 19, 3955, 6343, 26410, 431, 204, 461, 11088, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 424, 329, 1395, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 18640, 424, 204, 264, 18044, 68, 481, 289, 11088, 68, 25679, 68, 481, 374, 204, 264, 2082, 19, 1270, 13, 75, 7, 16396, 8479, 424, 31, 463, 28446, 336, 68, 481, 743, 204, 615, 264, 314, 1716, 275, 1104, 204, 264, 1395, 68, 25679, 68, 2819, 13, 28446, 336, 68, 481, 14, 204, 615, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 13, 805, 68, 1538, 499, 998, 3186, 1576, 34, 39348, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 6431, 275, 1019, 302, 610, 292, 275, 800, 7644, 19, 204, 204, 1380, 5248, 368, 31, 204, 4377, 970, 5966, 2238, 284, 329, 3259, 17, 572, 874, 3557, 7644, 19, 1785, 618, 758, 719, 273, 5945, 311, 1020, 275, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 700, 302, 610, 19, 204, 204, 13, 93, 465, 887, 4061, 27, 289, 322, 26, 465, 571, 4061, 24, 204, 204, 1449, 2616, 348, 610, 17, 572, 618, 4393, 18, 12651, 31, 204, 24, 13, 93, 465, 887, 14, 289, 887, 13, 29, 14, 204, 204, 17055, 275, 1581, 31, 204, 24, 93, 465, 1916, 289, 7332, 204, 204, 20946, 1916, 497, 1855, 2902, 31, 204, 24, 93, 289, 2468, 204, 204, 20367, 1855, 2902, 560, 571, 31, 204, 93, 289, 931, 204, 204, 1380, 5248, 435, 31, 204, 4377, 2327, 5966, 2238, 284, 17, 3259, 17, 329, 468, 17, 572, 618, 758, 719, 273, 3726, 1283, 275, 10812, 2902, 302, 275, 970, 18010, 19405, 31, 204, 204, 1003, 20, 26, 289, 2905, 20, 93, 204, 204, 1449, 2616, 348, 610, 17, 572, 618, 4393, 18, 12651, 31, 204, 1003, 93, 289, 2905, 540, 720, 204, 1003, 93, 289, 6787, 204, 204, 20367, 1855, 2902, 560, 931, 31, 204, 93, 289, 1168, 204, 204, 7108, 31, 334, 4986, 1844, 353, 508, 1917, 440, 9133, 1483, 311, 2616, 348, 610, 19, 0, 8, 4390, 275, 3600, 6500, 204, 531, 1907, 19, 3968, 532, 832, 204, 531, 18062, 532, 5020, 448, 18062, 68, 4280, 204, 204, 8, 968, 275, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 2221, 18, 5969, 5448, 204, 264, 832, 611, 5164, 4750, 18062, 68, 4280, 19, 2491, 9650, 266, 3244, 19, 402, 68, 1529, 2144, 588, 833, 43725, 2008, 204, 264, 832, 611, 816, 20, 5164, 4750, 18062, 68, 4280, 19, 2491, 15918, 3244, 19, 402, 68, 1529, 2144, 588, 833, 816, 5164, 2008, 204, 264, 832, 611, 816, 20, 655, 4750, 18062, 68, 4280, 19, 2491, 20728, 19, 402, 68, 1529, 2144, 588, 833, 816, 655, 2008, 204, 264, 832, 611, 816, 20, 2045, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 2491, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 816, 2045, 2008, 204, 264, 832, 611, 816, 20, 2760, 23123, 20, 2045, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 2491, 3103, 18446, 6667, 19, 402, 68, 1529, 2144, 588, 833, 816, 2760, 23123, 2045, 2008, 204, 204, 264, 314, 9657, 18, 5969, 5448, 204, 264, 832, 611, 4159, 20, 5164, 4750, 18062, 68, 4280, 19, 6536, 15918, 19, 402, 68, 1529, 2144, 588, 833, 4159, 5164, 2008, 204, 264, 832, 611, 4159, 20, 11174, 8121, 339, 31, 816, 68, 359, 17462, 18062, 68, 4280, 19, 6536, 36481, 3103, 19, 402, 68, 1529, 2144, 588, 833, 11174, 834, 2008, 204, 204, 264, 314, 10903, 18, 5969, 5448, 204, 264, 832, 611, 6270, 20, 826, 4750, 18062, 68, 4280, 19, 4421, 14846, 19, 402, 68, 1529, 2144, 588, 833, 826, 6270, 2008, 204, 264, 832, 611, 12583, 20, 655, 4750, 18062, 68, 4280, 19, 14846, 20728, 19, 402, 68, 1529, 2144, 588, 833, 655, 6270, 2008, 204, 264, 832, 611, 6270, 20, 2045, 8121, 339, 31, 6270, 68, 359, 17462, 18062, 68, 4280, 19, 14846, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 6270, 2045, 2008, 204, 204, 264, 314, 11579, 18, 5969, 5448, 204, 264, 832, 611, 2884, 20, 826, 4750, 18062, 68, 4280, 19, 9731, 4421, 19, 402, 68, 1529, 2144, 588, 833, 826, 2884, 2008, 204, 264, 832, 611, 14352, 20, 655, 4750, 18062, 68, 4280, 19, 9731, 20728, 19, 402, 68, 1529, 2144, 588, 833, 655, 2884, 2008, 204, 264, 832, 611, 2884, 20, 2045, 8121, 339, 31, 2884, 68, 359, 17462, 18062, 68, 4280, 19, 9731, 11571, 3244, 19, 402, 68, 1529, 2144, 588, 833, 2884, 2045, 2008, 204, 204, 264, 314, 3682, 6087, 18, 5969, 5448, 204, 264, 832, 611, 826, 20, 2760, 23123, 4750, 18062, 68, 4280, 19, 3103, 18446, 4421, 19, 402, 68, 1529, 2144, 588, 833, 826, 2760, 23123, 2008, 204, 264, 832, 611, 655, 20, 2760, 267, 2187, 4750, 18062, 68, 4280, 19, 3103, 18446, 1218, 19, 402, 68, 1529, 2144, 588, 833, 655, 2760, 267, 2187, 2008, 204, 204, 264, 314, 9067, 685, 1274, 204, 264, 832, 611, 2040, 607, 4750, 18062, 68, 4280, 19, 9650, 13074, 3244, 19, 402, 68, 1529, 2144, 588, 833, 2040, 607, 2008, 204, 66, 204, 0, 10272, 25314, 8285, 8181, 15191, 26398, 9760, 408, 8085, 2781, 11338, 15603, 1456, 3455, 17733, 2860, 13865, 8829, 408, 14765, 921, 16112, 1398, 31190, 20706, 18306, 408, 1254, 2678, 16112, 10513, 9169, 3590, 2860, 11572, 1926, 3031, 38050, 1603, 11338, 20458, 408, 34299, 20706, 18306, 28157, 26260, 13806, 1390, 10875, 2356, 3656, 568, 204, 2134, 18306, 28157, 20706, 3708, 854, 11698, 44, 3738, 5659, 2405, 4587, 408, 3571, 17784, 2114, 20706, 18306, 8706, 1227, 11338, 7780, 10026, 4004, 6848, 13387, 568, 41907, 1189, 28157, 2638, 18629, 4660, 20706, 18306, 7340, 408, 16354, 8188, 13865, 25733, 5601, 5309, 2338, 33506, 460, 27719, 1401, 568, 13191, 19147, 12990, 22926, 725, 39899, 725, 37131, 1227, 37440, 21544, 40099, 408, 2336, 12453, 854, 1984, 15463, 26785, 17784, 2114, 20706, 8706, 1432, 12256, 1990, 11530, 18629, 408, 10166, 6281, 5186, 408, 40305, 14609, 1929, 12582, 11530, 18629, 408, 28081, 26856, 6443, 408, 20706, 5784, 2338, 18306, 5784, 15493, 21574, 408, 25190, 19448, 4197, 2134, 408, 34520, 460, 7780, 10026, 36846, 4485, 19344, 408, 34097, 34940, 16112, 18938, 10166, 13491, 408, 9249, 2642, 5463, 4837, 4760, 4769, 408, 1432, 21408, 27016, 11338, 408, 9406, 10344, 12350, 408, 19120, 2638, 18629, 1689, 2494, 5137, 8792, 13256, 408, 19293, 5890, 5932, 568, 0, 15276, 26604, 23659, 408, 9789, 460, 20292, 11751, 1456, 1550, 1377, 4286, 6523, 29377, 568, 2891, 10233, 4664, 5928, 2402, 6553, 1390, 3429, 19667, 8728, 408, 9789, 1951, 1458, 1773, 22594, 13172, 1670, 1432, 16233, 12397, 12049, 20292, 568, 9536, 15276, 20429, 3730, 10531, 460, 408, 6878, 2780, 5851, 34575, 18830, 15202, 568, 204, 9789, 9531, 7363, 11751, 5673, 15444, 12816, 4762, 11329, 4264, 1572, 1116, 35801, 5459, 1111, 10444, 9304, 408, 11751, 2778, 5295, 13928, 16240, 408, 12833, 24068, 854, 2498, 9219, 460, 12037, 568, 15630, 48922, 15944, 11618, 7819, 19104, 26276, 13256, 20195, 6122, 568, 204, 9678, 23296, 11618, 7819, 19104, 26504, 29290, 3684, 7872, 408, 15630, 48922, 7819, 19104, 10943, 12833, 16392, 26276, 1984, 204, 2112, 33074, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 408, 10282, 26276, 4044, 3560, 21133, 408, 2253, 3865, 2498, 4096, 460, 25666, 16392, 26276, 3560, 9833, 13684, 1254, 3534, 10, 45586, 1227, 6304, 26276, 8345, 17922, 568, 3534, 10, 4431, 1262, 45586, 854, 19001, 28253, 1227, 25733, 20855, 40816, 408, 8695, 19001, 28253, 460, 28513, 1189, 3534, 11191, 5002, 15032, 17096, 45586, 26276, 8483, 2498, 10875, 408, 6899, 13816, 19703, 7782, 21334, 12049, 6213, 20292, 45370, 15916, 33925, 1227, 20292, 568, 6304, 26276, 8345, 854, 3183, 31490, 10000, 47634, 1227, 31490, 1971, 47634, 460, 20855, 40816, 408, 26276, 1398, 3152, 8418, 7360, 3183, 31490, 10000, 47634, 408, 3183, 31490, 10000, 47634, 2338, 3183, 31490, 10000, 17408, 2114, 6371, 3476, 408, 7744, 14655, 3976, 28374, 408, 1367, 2575, 1262, 13816, 19703, 33925, 1227, 20292, 568, 204, 10282, 11618, 7819, 19104, 2949, 5784, 14765, 1189, 15463, 3784, 46244, 33393, 4121, 13769, 4121, 11798, 5784, 408, 1603, 16392, 24047, 5490, 22245, 46349, 19104, 7858, 29926, 942, 7191, 16776, 27549, 8418, 568, 3038, 26276, 8345, 15863, 6472, 47635, 20197, 2114, 2065, 22960, 2114, 408, 38967, 2253, 9487, 22204, 1638, 7819, 19104, 39981, 408, 2860, 1689, 2860, 4076, 1456, 10150, 19104, 2949, 5784, 41136, 3944, 20197, 24267, 408, 32021, 40881, 11618, 7819, 19104, 25827, 4741, 40812, 28258, 568, 7466, 921, 26276, 8345, 3865, 1398, 9302, 1262, 19211, 5227, 2860, 47498, 3708, 2499, 7819, 19104, 12054, 460, 43986, 725, 13540, 1458, 1955, 38626, 24817, 408, 4762, 2499, 6304, 26276, 8345, 11698, 9366, 1789, 2356, 3977, 4228, 9366, 1789, 2356, 6245, 460, 25132, 12357, 28513, 3590, 4795, 36099, 408, 5651, 921, 5758, 1368, 35225, 33036, 23, 18, 26, 1368, 460, 26276, 8345, 568, 25767, 408, 2499, 24817, 460, 31616, 4574, 2860, 24851, 5227, 33036, 25132, 12357, 8345, 1191, 23078, 13397, 24, 11259, 13620, 408, 2498, 1946, 2499, 24851, 5227, 1649, 106, 5759, 4228, 1002, 22245, 2321, 408, 4239, 1603, 19104, 24851, 831, 15341, 408, 4762, 1262, 2822, 24817, 24851, 5227, 2499, 19104, 24851, 831, 15341, 408, 11153, 26276, 8345, 18816, 8056, 568, 204, 9678, 23296, 11618, 7819, 19104, 26504, 16487, 408, 15630, 48922, 7819, 19104, 1262, 6304, 26276, 8345, 26276, 22426, 16492, 42523, 11329, 408, 4945, 33848, 38967, 3865, 25867, 26327, 19104, 568, 204, 0, 21205, 299, 4009, 529, 508, 311, 444, 4768, 48541, 19, 7954, 1017, 7249, 311, 732, 28088, 329, 11018, 25443, 4230, 1895, 1475, 5111, 7399, 311, 275, 794, 21031, 756, 7724, 17, 872, 1120, 444, 29194, 448, 311, 1662, 1910, 13185, 1880, 5971, 15177, 685, 523, 1335, 19423, 329, 974, 1702, 4009, 19, 1785, 4501, 4897, 496, 18083, 329, 12292, 2828, 1856, 508, 444, 12527, 292, 275, 15558, 302, 2077, 2804, 329, 21391, 19, 4087, 5566, 770, 572, 508, 874, 275, 1729, 10733, 2292, 1330, 490, 7336, 311, 1605, 6556, 15279, 19, 204, 5399, 353, 273, 36725, 302, 2696, 496, 1519, 311, 444, 45999, 266, 5329, 2518, 4461, 1169, 29279, 31, 204, 18, 32561, 6584, 7684, 4009, 43706, 1930, 19, 25884, 4897, 496, 872, 47370, 4338, 690, 292, 1605, 353, 793, 19, 334, 1483, 496, 618, 4260, 1895, 521, 2280, 3094, 2667, 353, 4501, 523, 275, 1818, 19, 334, 6509, 1653, 302, 275, 28088, 34043, 1698, 302, 25663, 3821, 496, 353, 7784, 311, 13106, 1214, 34910, 1335, 872, 35185, 275, 43328, 19, 204, 18, 13655, 18, 35354, 3106, 375, 529, 508, 6488, 8534, 18, 35354, 5602, 872, 1151, 275, 1818, 1653, 302, 275, 1351, 19, 1547, 618, 444, 1193, 523, 1901, 302, 1475, 496, 1422, 529, 9395, 273, 4542, 2805, 1702, 448, 20942, 17, 22000, 704, 17, 20918, 15220, 329, 754, 523, 19, 204, 18, 8257, 549, 329, 595, 13221, 3106, 375, 529, 13626, 311, 1824, 18282, 523, 275, 3776, 19, 7954, 275, 588, 10846, 437, 16171, 1352, 288, 302, 2086, 17, 275, 8506, 8944, 4230, 6721, 872, 311, 8720, 275, 11576, 523, 275, 9647, 1864, 348, 931, 4112, 2518, 41673, 299, 440, 273, 25971, 521, 273, 14676, 340, 19, 204, 18, 332, 17770, 1701, 502, 26566, 3096, 37925, 50, 18944, 56, 19, 31294, 299, 15279, 618, 14963, 3014, 311, 45424, 378, 395, 1027, 19, 1765, 1014, 25207, 39609, 329, 15921, 714, 618, 4481, 685, 283, 22634, 496, 618, 3253, 5741, 19, 204, 18, 15317, 12305, 30914, 595, 15741, 501, 2863, 59, 2214, 19, 4222, 11414, 353, 1945, 348, 808, 917, 19, 3242, 572, 830, 2379, 17, 572, 1856, 6156, 2077, 7498, 497, 15279, 630, 830, 6923, 19, 28710, 1405, 21672, 7498, 8820, 11959, 6043, 311, 30063, 3094, 2667, 19, 1785, 8812, 311, 732, 2077, 8650, 523, 2077, 6587, 521, 904, 3576, 302, 2077, 2484, 1335, 16622, 19, 828, 15279, 636, 18901, 497, 2077, 22629, 8650, 311, 904, 3576, 17, 572, 529, 5508, 311, 2390, 753, 88, 2734, 329, 8926, 32002, 19, 0, 647, 34967, 3555, 26, 2898, 204, 531, 5525, 532, 20631, 17, 28974, 204, 204, 461, 5345, 68, 20052, 68, 9259, 13, 46374, 31, 421, 289, 2019, 23587, 17, 31030, 31, 421, 289, 500, 17, 6771, 31, 421, 289, 500, 14, 393, 28974, 31, 204, 264, 320, 204, 264, 977, 275, 28974, 4510, 19, 204, 204, 264, 457, 31, 204, 268, 20812, 322, 339, 330, 334, 20812, 302, 275, 28974, 4510, 19, 1243, 311, 2019, 23587, 19, 204, 268, 31030, 322, 339, 330, 334, 31030, 302, 275, 28974, 4510, 19, 1243, 311, 500, 19, 204, 268, 6771, 322, 339, 330, 334, 6771, 302, 275, 28974, 4510, 19, 1243, 311, 500, 19, 204, 204, 264, 475, 31, 204, 268, 28974, 31, 334, 9810, 28974, 4510, 19, 204, 264, 320, 204, 264, 314, 977, 275, 28974, 4510, 440, 275, 800, 2072, 204, 264, 14394, 289, 28974, 13, 22, 17, 20812, 34, 46374, 17, 31030, 34, 37135, 17, 6771, 34, 12217, 14, 204, 264, 14394, 19, 924, 374, 204, 264, 407, 14394, 204, 204, 461, 3219, 68, 18481, 3555, 26, 2898, 68, 6439, 13, 20052, 31, 28974, 17, 27865, 68, 23473, 31, 421, 289, 500, 17, 27865, 68, 4434, 31, 421, 289, 435, 14, 393, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 31, 204, 264, 320, 204, 264, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 19, 204, 204, 264, 457, 31, 204, 268, 14394, 322, 37634, 330, 334, 28974, 4510, 311, 732, 19, 204, 268, 27865, 68, 23473, 322, 339, 330, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7280, 6468, 348, 7264, 19, 1243, 311, 500, 19, 204, 268, 27865, 68, 4434, 322, 339, 330, 334, 7280, 6468, 348, 18059, 2694, 19, 1243, 311, 435, 19, 204, 204, 264, 475, 31, 204, 268, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 31, 334, 758, 719, 31906, 10330, 26, 2898, 6686, 19, 204, 264, 320, 204, 264, 314, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 440, 275, 800, 2072, 204, 264, 468, 7885, 289, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 13, 20052, 34, 20052, 17, 27865, 55, 274, 34, 20788, 68, 23473, 17, 27865, 22727, 34, 20788, 68, 4434, 14, 204, 264, 407, 468, 7885, 204, 204, 461, 2281, 68, 481, 68, 633, 68, 3530, 13, 87, 7885, 31, 34967, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 17, 1995, 31, 421, 289, 500, 93, 7085, 17, 424, 31, 3154, 289, 308, 8761, 93, 473, 65, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 93, 8619, 65, 93, 21, 70, 65, 93, 21, 71, 65, 93, 21, 72, 65, 93, 21, 73, 65, 93, 21, 74, 65, 93, 21, 75, 534, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 424, 311, 275, 2786, 19, 204, 204, 264, 457, 31, 204, 268, 468, 7885, 322, 18481, 3555, 26, 2898, 19, 22192, 10330, 26, 2898, 330, 334, 31906, 10330, 26, 2898, 6686, 311, 732, 19, 204, 268, 1995, 322, 339, 330, 334, 1995, 311, 2281, 311, 19, 1243, 311, 500, 93, 7085, 19, 204, 268, 424, 322, 3881, 330, 334, 424, 311, 2281, 19, 1243, 311, 308, 8761, 93, 473, 65, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 93, 8619, 65, 93, 21, 70, 65, 93, 21, 71, 65, 93, 21, 72, 65, 93, 21, 73, 65, 93, 21, 74, 65, 93, 21, 75, 2625, 204, 264, 320, 204, 264, 314, 1198, 8506, 311, 275, 575, 204, 264, 456, 20840, 204, 264, 456, 13, 75, 7, 17629, 2786, 2518, 6686, 311, 2281, 1995, 500, 93, 96, 2820, 31, 5559, 93, 743, 204, 264, 456, 20840, 204, 204, 264, 810, 31, 204, 268, 1335, 959, 31, 204, 305, 314, 7242, 273, 2786, 204, 305, 322, 9529, 17, 3518, 68, 932, 14, 289, 468, 7885, 19, 1443, 13, 87, 7885, 19, 29409, 1701, 49, 14, 204, 204, 305, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 485, 314, 763, 275, 2786, 677, 31435, 204, 485, 322, 9529, 17, 4793, 68, 3639, 14, 289, 468, 7885, 19, 8785, 7774, 374, 204, 204, 485, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 895, 314, 1198, 275, 2786, 677, 1483, 204, 895, 456, 499, 6001, 2786, 7675, 431, 204, 895, 456, 13, 75, 7, 226, 338, 3518, 1187, 31, 500, 93, 96, 3709, 68, 932, 31, 5559, 93, 743, 204, 895, 456, 13, 75, 7, 226, 338, 18048, 203, 1164, 500, 93, 96, 1292, 68, 3639, 64, 21, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 22, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 23, 744, 5559, 93, 1134, 1292, 68, 3639, 64, 24, 744, 5559, 93, 743, 204, 895, 456, 20840, 204, 204, 895, 314, 5988, 275, 2786, 204, 895, 397, 468, 7885, 19, 4637, 68, 3709, 13, 1292, 68, 3639, 14, 564, 468, 7885, 19, 7444, 31, 204, 2058, 314, 16699, 275, 2786, 204, 2058, 896, 289, 308, 8761, 33109, 65, 33109, 65, 33109, 65, 33109, 65, 33109, 65, 33109, 12, 204, 2058, 397, 468, 7885, 19, 3340, 13, 87, 7885, 19, 10475, 5546, 22, 38, 17, 1995, 17, 896, 17, 4793, 68, 3639, 14, 564, 468, 7885, 19, 7444, 31, 204, 4511, 314, 3400, 275, 424, 311, 275, 2786, 204, 4511, 9161, 289, 468, 7885, 19, 2206, 13, 2820, 17, 424, 14, 204, 4511, 468, 7885, 19, 5029, 68, 23923, 22, 374, 204, 4511, 397, 9161, 564, 468, 7885, 19, 7444, 31, 204, 8835, 456, 499, 989, 5052, 311, 2786, 431, 204, 4511, 902, 31, 204, 8835, 456, 499, 3504, 311, 2281, 424, 311, 2786, 431, 204, 2058, 902, 31, 204, 4511, 456, 499, 17471, 908, 431, 204, 895, 902, 31, 204, 2058, 456, 499, 3504, 311, 2694, 3518, 431, 204, 204, 264, 827, 16797, 31, 204, 268, 456, 499, 3609, 74, 431, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 977, 275, 28974, 4510, 204, 264, 14394, 289, 5345, 68, 20052, 68, 9259, 374, 204, 204, 264, 314, 1359, 719, 275, 31906, 10330, 26, 2898, 6686, 204, 264, 468, 7885, 289, 3219, 68, 18481, 3555, 26, 2898, 68, 6439, 13, 20052, 14, 204, 204, 264, 314, 3400, 424, 311, 275, 2786, 204, 264, 2281, 68, 481, 68, 633, 68, 3530, 13, 87, 7885, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 7697, 276, 26633, 46501, 204, 7, 32180, 5494, 311, 16124, 9851, 204, 7, 25728, 7716, 2077, 1233, 94, 20, 84, 677, 2501, 302, 7595, 630, 2821, 9851, 204, 1834, 740, 348, 275, 296, 27533, 353, 13379, 348, 2459, 1415, 874, 2861, 7868, 13826, 368, 302, 4508, 88, 18, 5824, 13463, 19, 204, 837, 13826, 435, 17, 275, 2384, 41549, 1662, 311, 2616, 3779, 11939, 275, 5624, 46273, 5187, 6738, 588, 353, 388, 12113, 7, 5187, 448, 2590, 448, 275, 5631, 46273, 329, 275, 4720, 11078, 19, 204, 673, 5624, 46273, 353, 437, 7843, 2090, 275, 5631, 46273, 19, 334, 700, 302, 275, 5624, 46273, 353, 275, 7283, 302, 496, 302, 275, 5631, 46273, 19, 18911, 397, 610, 289, 571, 17, 8140, 289, 338, 24, 19, 204, 4592, 1017, 1066, 353, 2962, 17, 1330, 275, 5624, 46273, 329, 275, 5631, 46273, 1336, 4430, 523, 275, 1729, 1653, 302, 275, 3948, 1250, 1741, 444, 5748, 2900, 21823, 275, 3188, 19, 204, 673, 11661, 1376, 348, 275, 5624, 46273, 353, 496, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 437, 610, 440, 273, 4393, 3520, 1924, 490, 19, 1547, 869, 275, 588, 302, 1622, 12113, 1001, 3522, 490, 13207, 2090, 273, 8140, 19, 25926, 523, 292, 275, 2548, 275, 2459, 4309, 311, 11506, 1622, 2422, 93, 14, 1001, 448, 3161, 588, 348, 8140, 19, 204, 837, 13826, 435, 2459, 4309, 311, 2616, 3779, 1702, 448, 681, 93, 16, 2422, 93, 14040, 22, 34, 23, 93, 16, 26, 329, 435, 93, 18, 2422, 93, 12884, 1258, 19, 204, 38, 2752, 11856, 353, 1917, 348, 848, 9542, 19, 322, 16014, 275, 1672, 14091, 2752, 630, 4778, 1963, 94, 607, 90, 19, 2115, 20, 59, 34996, 54, 7326, 25912, 86, 63, 92, 6268, 7616, 2752, 11856, 353, 8367, 560, 970, 6016, 329, 7496, 14696, 19, 1547, 353, 6456, 348, 275, 2384, 311, 2013, 275, 9542, 2752, 4948, 311, 18493, 275, 6016, 329, 14696, 348, 496, 9542, 19, 204, 45, 5152, 18, 5824, 13463, 353, 275, 10495, 11856, 311, 8585, 348, 20482, 329, 4876, 3859, 2459, 19, 4275, 1698, 1120, 2459, 874, 9819, 329, 444, 17963, 11013, 440, 275, 2548, 17, 1017, 7211, 302, 370, 18, 38339, 1120, 444, 27399, 24211, 448, 1250, 4699, 1978, 440, 26197, 14202, 3779, 19, 204, 17170, 3859, 2459, 28166, 440, 8585, 1120, 5508, 4699, 1978, 329, 5384, 348, 275, 1043, 690, 448, 1250, 1225, 440, 808, 740, 19, 204, 673, 2752, 6842, 348, 848, 9542, 1120, 9393, 1214, 1656, 311, 3524, 275, 1978, 329, 47863, 1250, 2080, 440, 275, 13826, 368, 740, 448, 1250, 2616, 2219, 1182, 16342, 3779, 6, 204, 13936, 1483, 523, 4508, 88, 18, 5824, 13463, 618, 444, 1193, 630, 17255, 19, 71, 573, 853, 271, 19, 1453, 329, 523, 14091, 19, 204, 18, 9815, 39285, 17, 10279, 2991, 2585, 571, 19, 27, 204, 18, 11639, 40844, 17, 10755, 2991, 2585, 571, 19, 26, 204, 18, 9923, 3139, 17, 10755, 2991, 2585, 571, 19, 25, 204, 18, 11639, 1199, 17, 10072, 2991, 2585, 571, 19, 24, 204, 18, 11639, 29184, 17, 10072, 2991, 2585, 571, 19, 23, 204, 18, 11261, 42430, 17, 10072, 10864, 2931, 31, 43863, 6, 393, 686, 24, 19, 2418, 204, 18, 11261, 39346, 17, 10072, 10864, 10574, 31, 686, 24, 19, 2418, 393, 43863, 6, 204, 18, 11047, 39285, 17, 10072, 2991, 2585, 571, 19, 22, 204, 18, 10228, 4662, 17, 10072, 2991, 2585, 571, 19, 21, 204, 18, 9402, 29184, 17, 10072, 2991, 2585, 435, 19, 22, 204, 18, 10137, 5773, 17, 10072, 2991, 2585, 435, 19, 21, 204, 18, 11261, 3528, 17, 9551, 2991, 2585, 368, 19, 29, 204, 18, 11261, 38159, 17, 9551, 2991, 2585, 368, 19, 28, 204, 18, 11047, 2153, 17, 9551, 2991, 2585, 368, 19, 27, 204, 18, 9907, 5773, 17, 9551, 2991, 2585, 368, 19, 26, 204, 18, 10228, 4662, 17, 9551, 2991, 2585, 368, 19, 25, 204, 18, 9815, 2019, 17, 9551, 2991, 2585, 368, 19, 23, 204, 18, 9815, 43763, 17, 9551, 2991, 2585, 368, 19, 22, 204, 18, 9923, 5789, 17, 9551, 807, 5367, 0, 647, 1127, 204, 647, 4845, 204, 531, 10697, 532, 23794, 17, 15758, 204, 204, 461, 11037, 68, 5154, 13, 5154, 68, 417, 31, 394, 17, 3467, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9690, 30871, 273, 4847, 3467, 974, 275, 1540, 1561, 1354, 19, 204, 204, 264, 457, 31, 204, 268, 3467, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3467, 311, 11037, 19, 204, 268, 3467, 68, 546, 322, 325, 330, 334, 832, 311, 275, 3467, 311, 11037, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 3467, 510, 1583, 508, 1337, 19, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 39255, 275, 3467, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 3467, 510, 2560, 204, 268, 397, 508, 1127, 19, 546, 19, 13226, 13, 5154, 68, 546, 330, 204, 305, 980, 3180, 13, 75, 7, 13146, 510, 3318, 5154, 68, 546, 2867, 508, 1193, 1280, 204, 204, 268, 314, 25178, 275, 3467, 974, 275, 1540, 1561, 1354, 204, 268, 4845, 19, 2960, 8031, 5207, 491, 3467, 68, 546, 694, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 39255, 3467, 31, 463, 74, 743, 204, 204, 461, 838, 68, 5154, 68, 43838, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 3277, 9841, 440, 8982, 311, 11037, 1792, 19283, 19, 204, 264, 320, 204, 264, 314, 666, 275, 667, 2158, 204, 264, 1610, 289, 23794, 374, 204, 264, 1610, 19, 1778, 499, 13146, 9690, 23546, 431, 204, 204, 264, 314, 968, 3467, 10608, 204, 264, 3467, 68, 13812, 289, 551, 204, 268, 2832, 417, 559, 388, 57, 323, 30553, 33935, 528, 388, 546, 559, 388, 8017, 364, 19, 948, 7832, 204, 268, 2832, 417, 559, 388, 57, 23993, 528, 388, 546, 559, 388, 660, 19, 948, 6669, 204, 264, 2437, 204, 204, 264, 314, 666, 8982, 348, 848, 3467, 204, 264, 348, 954, 292, 3467, 68, 13812, 31, 204, 268, 2963, 289, 15758, 13, 2125, 17, 1068, 34, 1087, 1166, 417, 2869, 1354, 34, 3605, 832, 34, 1087, 1166, 546, 8682, 11037, 68, 5154, 13, 1087, 1166, 417, 2869, 832, 602, 204, 268, 2963, 19, 3674, 13, 37560, 34, 1003, 14, 204, 204, 264, 314, 4055, 275, 667, 1643, 3546, 204, 264, 1610, 19, 14677, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 838, 68, 5154, 68, 43838, 374, 204, 0, 673, 667, 7253, 302, 808, 3200, 1208, 353, 3836, 1381, 8672, 19, 8385, 869, 1742, 8942, 311, 14063, 830, 275, 9029, 329, 4883, 1483, 523, 808, 7597, 19, 334, 3511, 397, 3836, 1381, 8672, 353, 14511, 17, 448, 2590, 448, 1017, 3263, 17, 11793, 17, 329, 8622, 19, 334, 8784, 302, 808, 3200, 1208, 353, 311, 3126, 496, 273, 3836, 35125, 353, 273, 3966, 302, 1554, 2712, 302, 45848, 32, 311, 4309, 1662, 311, 732, 275, 1581, 302, 275, 3836, 1381, 8672, 32, 311, 4309, 1662, 311, 27209, 3836, 1381, 8672, 19, 204, 837, 46646, 19657, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34680, 29835, 17, 273, 7089, 6132, 1516, 17, 869, 10921, 275, 11499, 496, 566, 10994, 311, 444, 275, 6795, 19, 2474, 867, 275, 1051, 311, 10065, 496, 1792, 7186, 496, 529, 14534, 311, 444, 5096, 311, 7575, 12387, 874, 1792, 4683, 302, 3914, 3962, 17, 440, 928, 437, 6132, 790, 618, 1879, 1924, 1475, 19, 1058, 3210, 496, 2589, 12387, 18, 29944, 299, 3821, 521, 1561, 353, 5096, 311, 2249, 275, 3714, 1924, 440, 1792, 6795, 311, 275, 3714, 19, 17674, 2547, 17, 6795, 618, 444, 1425, 20166, 448, 273, 4153, 1187, 302, 10187, 496, 5814, 490, 2237, 311, 4204, 329, 3326, 275, 3714, 302, 6132, 790, 19, 204, 8124, 4563, 34680, 29835, 1193, 685, 496, 808, 355, 22517, 523, 275, 1187, 302, 275, 3821, 329, 4153, 8348, 3857, 322, 6595, 17, 15456, 789, 334, 7089, 6132, 1516, 8699, 1702, 11499, 448, 4362, 33562, 18651, 5028, 302, 275, 1901, 3287, 29391, 2927, 560, 808, 21253, 20707, 302, 1704, 690, 867, 275, 2089, 17, 440, 928, 566, 6900, 719, 19, 7054, 2089, 3629, 8864, 496, 1422, 2560, 4153, 1727, 1283, 275, 6795, 17, 6264, 329, 275, 790, 292, 273, 4539, 6132, 1561, 31, 204, 36014, 311, 830, 302, 2075, 867, 11799, 4166, 17, 490, 353, 1236, 12862, 496, 275, 6795, 353, 9140, 440, 14560, 1015, 292, 20419, 302, 275, 46286, 322, 60, 594, 340, 2385, 789, 204, 46002, 1381, 8672, 529, 24880, 16589, 17931, 302, 437, 6132, 1561, 496, 529, 7784, 311, 6626, 6264, 2712, 1283, 1163, 31895, 19, 3433, 529, 25800, 17931, 17, 1174, 1236, 2347, 2139, 17, 5862, 17, 1017, 741, 353, 14636, 448, 1250, 529, 275, 1698, 6399, 496, 529, 5096, 311, 10574, 275, 3683, 302, 275, 790, 496, 11669, 1924, 19, 204, 1823, 37065, 529, 13627, 27235, 448, 1842, 302, 16589, 8164, 322, 39, 10294, 789, 3433, 529, 6999, 292, 7510, 2589, 16589, 3440, 329, 6783, 19, 204, 2841, 529, 970, 3003, 302, 16589, 18147, 2317, 5966, 329, 3196, 6399, 19, 10303, 292, 1855, 302, 1605, 275, 741, 496, 275, 3836, 1381, 8672, 2811, 353, 12925, 3171, 275, 1729, 17, 275, 896, 311, 5384, 1017, 3422, 8784, 329, 14285, 302, 1225, 48910, 292, 5384, 275, 2712, 1283, 1017, 5956, 292, 1855, 302, 1605, 16589, 5194, 322, 55, 19779, 17, 10599, 789, 204, 673, 741, 302, 3836, 35125, 292, 5966, 18147, 353, 311, 7659, 2258, 904, 18147, 496, 1563, 292, 4141, 1051, 5348, 5422, 19, 10665, 18147, 17, 523, 275, 904, 1922, 17, 529, 27235, 311, 1977, 719, 273, 4542, 3702, 24595, 17, 7301, 1250, 1895, 1475, 39412, 19, 1058, 432, 4973, 275, 3773, 302, 6414, 6795, 17, 928, 353, 275, 6795, 496, 273, 2875, 3836, 35125, 1784, 4426, 348, 2545, 1936, 311, 275, 4303, 4767, 302, 275, 24154, 884, 3599, 292, 275, 6783, 19, 204, 11354, 3003, 302, 16589, 18147, 5961, 1017, 3346, 2089, 23198, 496, 8335, 275, 11362, 302, 1017, 1225, 19, 1765, 5966, 6783, 31, 204, 59, 34, 59, 22, 34, 59, 23, 34, 59, 83, 17, 361, 2609, 34, 55, 22, 55, 23, 20, 55, 22, 16, 55, 23, 32, 1547, 2007, 34, 59, 13, 22, 20, 55, 22, 16, 5013, 22, 20, 55, 83, 5224, 348, 3196, 6783, 31, 382, 34, 46, 22, 34, 5013, 34, 837, 32, 361, 2609, 34, 55, 22, 16, 5013, 16, 55, 83, 19, 204, 46002, 1381, 8672, 618, 444, 2927, 302, 1792, 7186, 329, 5961, 8318, 12593, 17, 20607, 521, 10346, 17, 9205, 10346, 17, 14637, 10346, 17, 9823, 10346, 17, 33013, 9823, 10346, 17, 11041, 362, 15639, 17, 329, 754, 523, 19, 3065, 1337, 273, 6592, 8372, 302, 1702, 4550, 302, 275, 6132, 6783, 17, 348, 1763, 31, 7023, 578, 17, 1554, 521, 31285, 47556, 17, 2347, 17, 8795, 27497, 24154, 17, 4338, 7204, 17, 6623, 19, 204, 837, 275, 1324, 302, 46646, 19657, 29835, 869, 10921, 6795, 302, 7186, 19, 2315, 37065, 17, 928, 529, 1425, 12459, 3556, 448, 275, 3836, 1381, 8672, 17, 529, 275, 1901, 4802, 329, 12459, 27235, 4781, 302, 16589, 6783, 19, 26705, 1381, 8672, 529, 27235, 311, 8386, 329, 2280, 719, 275, 790, 329, 6264, 292, 273, 4539, 6132, 6783, 754, 496, 7490, 3576, 618, 1698, 636, 275, 790, 329, 275, 6264, 496, 529, 1855, 20032, 329, 3600, 311, 6618, 275, 1945, 1561, 19, 2315, 37065, 618, 444, 978, 9372, 4430, 4260, 292, 3196, 329, 5966, 5687, 496, 838, 11898, 302, 6132, 790, 521, 6132, 6783, 19, 21918, 275, 3718, 496, 275, 2712, 1283, 275, 970, 6132, 18147, 353, 19249, 4883, 17, 275, 741, 8942, 560, 275, 3836, 1381, 8672, 6786, 275, 1729, 2317, 311, 10574, 275, 3714, 329, 6813, 275, 6264, 39493, 329, 6618, 275, 8819, 1225, 302, 275, 1561, 19, 828, 275, 6783, 353, 5966, 17, 25795, 353, 3324, 17, 1335, 292, 275, 3196, 275, 382, 17, 521, 275, 6132, 790, 353, 17, 928, 3731, 275, 4802, 2089, 382, 34, 59, 20, 55, 15844, 19, 204, 18, 23185, 6527, 793, 204, 18, 334, 20268, 204, 18, 628, 478, 3723, 389, 5269, 20318, 204, 18, 313, 316, 329, 480, 2859, 415, 15901, 204, 18, 8201, 46095, 14628, 22435, 11865, 204, 14813, 20921, 311, 1214, 4695, 3384, 348, 11311, 1924, 348, 479, 440, 2745, 1673, 1552, 19, 382, 11076, 884, 89, 5190, 1475, 273, 6273, 302, 10065, 17, 1101, 1250, 1466, 5096, 311, 3891, 719, 440, 273, 2234, 71, 4960, 348, 479, 19, 1058, 353, 275, 5568, 302, 3158, 496, 382, 8336, 19, 20410, 17, 382, 636, 17556, 1382, 17, 329, 382, 17556, 1330, 2745, 4960, 3913, 7163, 529, 19, 1547, 353, 754, 14236, 299, 311, 2379, 496, 382, 618, 444, 292, 273, 40143, 329, 3754, 39810, 18, 10841, 19, 3052, 329, 496, 872, 1120, 10580, 273, 4382, 4960, 348, 479, 17, 1236, 7597, 2075, 19, 334, 3718, 496, 872, 2255, 437, 10167, 18, 85, 10517, 26896, 2643, 2556, 353, 4382, 17, 4440, 19, 382, 27879, 16635, 496, 2745, 1225, 353, 23919, 2171, 19, 39810, 18, 10841, 19, 3052, 19232, 6, 204, 10357, 18967, 529, 36936, 630, 690, 6294, 19, 382, 12098, 292, 437, 1552, 348, 3420, 3060, 5362, 13168, 17, 329, 1250, 1466, 830, 5052, 21070, 17, 2219, 440, 275, 3697, 21376, 10065, 19, 35553, 17, 39810, 18, 10841, 19, 3052, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 204, 10357, 4695, 3886, 47185, 348, 479, 2589, 690, 19, 382, 874, 6202, 1742, 940, 29048, 336, 19, 204, 46, 867, 10048, 440, 275, 970, 15382, 496, 1214, 18967, 3756, 348, 479, 19, 10146, 7239, 275, 3397, 7597, 867, 9395, 11482, 17, 1250, 14417, 311, 3891, 719, 440, 2223, 5926, 1225, 19, 1058, 869, 1742, 2745, 4699, 440, 39810, 18, 10841, 19, 3052, 17, 1048, 275, 2482, 14693, 335, 19, 7616, 329, 2589, 690, 382, 874, 4331, 273, 2223, 5926, 4960, 17, 872, 874, 3891, 1924, 440, 27883, 4695, 6016, 348, 479, 19, 382, 3315, 42246, 311, 8789, 1214, 4695, 3158, 311, 2745, 8120, 329, 18987, 19, 204, 673, 1225, 382, 5445, 497, 1214, 18967, 867, 3171, 4037, 1194, 1812, 17, 6469, 8442, 275, 17736, 3423, 302, 1214, 6171, 6, 1058, 353, 754, 29161, 6, 382, 19395, 884, 89, 9136, 17, 12650, 17, 496, 8774, 2090, 39810, 18, 10841, 19, 3052, 2219, 23500, 17, 1101, 1675, 2528, 17, 382, 884, 82, 12925, 6430, 872, 529, 275, 1698, 1051, 496, 353, 808, 3094, 19, 382, 874, 14006, 273, 6273, 302, 5726, 5337, 1465, 904, 4695, 8774, 17, 1101, 6202, 273, 2917, 1142, 1465, 39810, 18, 10841, 19, 3052, 19, 3665, 529, 21784, 336, 448, 2545, 275, 2765, 17, 329, 382, 17, 348, 1051, 17, 3315, 32070, 496, 808, 353, 3597, 19, 28644, 872, 348, 275, 27883, 2624, 872, 3756, 523, 2745, 6985, 329, 3793, 13168, 19, 0, 8312, 3865, 28666, 9308, 46447, 4769, 6287, 7880, 2567, 10593, 18, 1794, 33961, 3812, 338, 8129, 5820, 204, 8185, 28666, 3784, 854, 32536, 408, 26073, 18262, 3601, 6841, 12644, 3558, 3028, 11198, 408, 7466, 921, 4068, 11545, 29823, 45461, 10700, 4296, 3784, 17276, 13919, 7649, 20315, 568, 12319, 11545, 29823, 4769, 17464, 39799, 23819, 854, 10644, 18, 33736, 15272, 408, 21283, 10914, 408, 9276, 11553, 408, 5259, 5659, 408, 32315, 37886, 26073, 6478, 23039, 2657, 6960, 12319, 11545, 29823, 11686, 21103, 12215, 568, 204, 2570, 30356, 408, 2891, 5778, 5137, 1398, 408, 22845, 21283, 460, 39949, 2657, 20937, 1773, 921, 27008, 6170, 4530, 20292, 460, 20087, 408, 2823, 17621, 1773, 26796, 3590, 7780, 568, 3064, 33058, 15849, 1390, 7763, 408, 34343, 44253, 1111, 8185, 23832, 5778, 26073, 2114, 2253, 37569, 9198, 17183, 1002, 19572, 2860, 2492, 102, 7174, 460, 20087, 568, 11545, 29823, 4769, 6564, 28666, 2657, 6693, 5778, 25461, 460, 34409, 20572, 16865, 568, 204, 25986, 408, 26728, 25431, 11545, 29823, 19539, 18063, 5661, 408, 5385, 10644, 460, 10914, 5778, 1227, 11545, 5452, 23034, 921, 12145, 8055, 1227, 45461, 568, 7466, 408, 921, 4485, 1398, 10904, 23262, 5778, 408, 11026, 25867, 8181, 5778, 568, 204, 14407, 408, 10241, 1262, 28666, 29895, 11514, 460, 7833, 6514, 38, 395, 270, 7833, 47887, 17572, 408, 1254, 1603, 9438, 5584, 6897, 460, 12049, 6213, 20292, 20604, 3044, 19, 20604, 3044, 13427, 5778, 1432, 4530, 1971, 6689, 408, 6899, 2065, 45, 336, 2996, 13392, 1944, 460, 23034, 2815, 13611, 2183, 3784, 2677, 41, 17180, 2653, 3590, 26796, 37989, 568, 204, 20604, 1944, 460, 33129, 53, 1251, 2678, 4872, 290, 269, 1407, 20843, 15903, 42524, 5820, 408, 30697, 8466, 2370, 3463, 20183, 2065, 23109, 21210, 460, 6233, 33736, 4769, 408, 1254, 26796, 25461, 12408, 5778, 2823, 8181, 1432, 18858, 5284, 3240, 408, 1254, 32854, 12049, 6213, 20292, 1251, 3361, 18858, 44822, 11220, 568, 204, 2218, 10922, 8075, 408, 10366, 921, 28666, 7858, 6233, 33736, 4769, 9555, 2499, 11999, 12408, 41504, 19219, 2114, 408, 9027, 8185, 41, 17180, 28972, 35285, 35285, 1227, 37718, 2114, 408, 2499, 11999, 1002, 39549, 43460, 41504, 35644, 568, 204, 4525, 19802, 32315, 14010, 408, 18922, 4769, 2823, 7307, 2498, 35984, 42085, 1227, 12792, 6112, 408, 2657, 9092, 28666, 1550, 44397, 12049, 6213, 20292, 11545, 32315, 460, 10458, 16570, 568, 204, 0, 531, 1907, 19, 11761, 532, 2111, 17, 4123, 204, 531, 1907, 19, 1479, 19, 1618, 532, 3398, 204, 531, 2617, 1618, 532, 5185, 17, 6319, 204, 531, 2617, 6041, 532, 48353, 17, 5185, 2954, 204, 531, 1907, 19, 4823, 19, 3340, 19, 15516, 532, 2924, 68, 5593, 204, 204, 461, 636, 68, 668, 68, 8754, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 7215, 497, 275, 1104, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 830, 7215, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 7215, 497, 275, 1104, 204, 264, 407, 5185, 19, 2856, 19, 668, 374, 204, 204, 461, 636, 68, 668, 68, 9483, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 6943, 497, 275, 1104, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 830, 6943, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 6943, 497, 275, 1104, 204, 264, 407, 6319, 19, 2856, 19, 668, 374, 204, 204, 37, 3424, 68, 5593, 204, 461, 838, 68, 2288, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 275, 5247, 302, 273, 717, 1722, 19, 204, 204, 264, 1164, 2394, 824, 31, 334, 3426, 824, 726, 19, 204, 264, 1164, 3309, 31, 332, 4123, 311, 275, 19031, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 1722, 798, 1014, 204, 264, 1722, 68, 654, 289, 5185, 2954, 13, 1443, 19, 4252, 14, 204, 204, 264, 397, 1722, 68, 654, 19, 360, 68, 1018, 1293, 204, 268, 314, 666, 273, 717, 1722, 1014, 204, 268, 1014, 289, 1722, 68, 654, 19, 2360, 13, 4827, 34, 1975, 14, 204, 268, 1014, 19, 2288, 68, 816, 289, 824, 19, 816, 204, 268, 1014, 19, 2360, 374, 204, 268, 407, 4123, 12394, 204, 204, 461, 19031, 13, 1443, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 5133, 275, 19031, 2013, 19, 204, 204, 264, 1164, 2394, 824, 31, 334, 3426, 824, 726, 19, 204, 264, 1164, 3309, 31, 334, 5703, 19031, 2399, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 7215, 329, 6943, 204, 264, 7215, 289, 636, 68, 668, 68, 8754, 374, 204, 264, 6943, 289, 636, 68, 668, 68, 9483, 374, 204, 204, 264, 314, 666, 717, 798, 5644, 204, 264, 3777, 68, 654, 289, 48353, 374, 204, 264, 1722, 68, 654, 289, 5185, 2954, 374, 204, 204, 264, 314, 778, 397, 275, 824, 1216, 353, 6379, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 778, 397, 275, 1722, 798, 353, 2545, 16059, 204, 268, 397, 379, 2288, 68, 654, 12, 292, 824, 19, 4252, 31, 204, 305, 838, 68, 2288, 13, 1443, 14, 204, 268, 314, 778, 397, 275, 3777, 798, 353, 2545, 16059, 204, 268, 1677, 379, 6324, 68, 654, 12, 292, 824, 19, 4252, 31, 204, 305, 314, 666, 273, 717, 3777, 798, 1014, 204, 305, 3777, 68, 654, 289, 48353, 13, 1443, 19, 4252, 14, 204, 305, 397, 3777, 68, 654, 19, 360, 68, 1018, 1293, 204, 485, 314, 666, 273, 717, 3777, 1014, 204, 485, 3777, 68, 654, 19, 2360, 374, 204, 204, 264, 314, 4784, 275, 19031, 2399, 204, 264, 407, 2111, 13, 1443, 17, 379, 660, 20, 5164, 19, 2079, 491, 463, 204, 268, 379, 8754, 597, 7215, 17, 204, 268, 379, 9483, 597, 6943, 17, 204, 268, 379, 6324, 68, 654, 597, 3777, 68, 654, 17, 204, 268, 379, 2288, 68, 654, 597, 1722, 68, 654, 204, 264, 7084, 204, 0, 647, 2010, 448, 645, 204, 531, 9325, 19, 25145, 532, 1356, 68, 6164, 204, 204, 461, 3219, 68, 804, 68, 481, 374, 393, 927, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 683, 424, 348, 275, 6361, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 8421, 1259, 1525, 322, 38, 1539, 14, 329, 275, 8421, 537, 1525, 322, 39, 1539, 789, 204, 264, 320, 204, 264, 314, 968, 275, 1419, 1259, 329, 537, 7703, 204, 264, 332, 1539, 289, 645, 19, 643, 1568, 204, 268, 551, 22, 19, 3222, 17, 500, 19, 3222, 17, 500, 648, 204, 268, 551, 21, 19, 3222, 17, 368, 19, 3222, 17, 500, 19, 3222, 648, 204, 268, 551, 21, 17, 500, 19, 3222, 17, 368, 19, 3222, 66, 204, 264, 9174, 204, 264, 565, 1539, 289, 645, 19, 13493, 13, 24, 14, 204, 204, 264, 314, 415, 864, 9446, 275, 7703, 311, 4897, 1250, 529, 2614, 275, 435, 18, 5915, 4279, 204, 264, 314, 9076, 31, 334, 1758, 2393, 68, 23, 68, 633, 68, 23, 68, 5689, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 264, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 19289, 43564, 275, 537, 1525, 19, 204, 264, 314, 1765, 6893, 5356, 17, 273, 3277, 36236, 353, 6310, 19, 204, 264, 332, 1539, 1412, 500, 19, 22, 540, 645, 19, 2017, 19, 9054, 4934, 38, 1539, 19, 1827, 14, 204, 264, 565, 1539, 1412, 500, 19, 22, 540, 645, 19, 2017, 19, 9054, 4934, 39, 1539, 19, 1827, 14, 204, 204, 264, 407, 332, 1539, 17, 565, 1539, 204, 204, 461, 7072, 68, 19343, 68, 2539, 13, 54, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 18289, 275, 8985, 741, 311, 444, 18972, 19, 204, 204, 264, 457, 31, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 332, 7063, 741, 496, 31199, 275, 8985, 741, 700, 19, 204, 264, 320, 204, 264, 436, 8985, 68, 2539, 13, 93, 31, 645, 19, 766, 14, 393, 818, 31, 204, 268, 320, 204, 268, 12276, 275, 8985, 741, 700, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 1123, 19, 766, 330, 334, 11689, 1554, 17, 928, 353, 273, 19349, 2585, 302, 275, 1259, 329, 537, 7703, 19, 204, 204, 268, 475, 31, 204, 305, 334, 8985, 741, 700, 19, 204, 268, 320, 204, 268, 314, 13600, 275, 11689, 1554, 1025, 1259, 329, 537, 7703, 204, 268, 300, 289, 1301, 19, 1827, 64, 21, 66, 204, 268, 332, 289, 610, 2022, 83, 15, 83, 1664, 6358, 1802, 83, 17, 300, 602, 204, 268, 565, 289, 610, 64, 83, 15, 83, 20514, 6358, 1802, 83, 17, 300, 602, 204, 204, 268, 314, 3963, 275, 8985, 741, 700, 974, 275, 1758, 2539, 68, 876, 69, 741, 204, 268, 314, 9076, 31, 334, 1758, 2539, 68, 876, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 268, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 31199, 275, 8985, 741, 700, 19, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 8985, 741, 353, 1376, 19, 204, 268, 407, 645, 19, 11217, 13, 38, 19, 57, 1642, 1301, 1642, 332, 14, 465, 645, 19, 11217, 13, 39, 19, 57, 1642, 361, 1642, 565, 14, 204, 204, 264, 407, 8985, 68, 2539, 204, 204, 461, 7072, 68, 11272, 68, 2539, 13, 54, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 18289, 275, 6361, 741, 302, 275, 8985, 741, 19, 204, 204, 264, 457, 31, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 332, 7063, 741, 496, 31199, 275, 6361, 302, 275, 8985, 741, 19, 204, 264, 320, 204, 264, 436, 6361, 68, 2539, 13, 93, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 12276, 275, 6361, 302, 275, 8985, 741, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 1123, 19, 766, 330, 334, 11689, 1554, 17, 928, 353, 273, 19349, 2585, 302, 275, 1259, 329, 537, 7703, 19, 204, 204, 268, 475, 31, 204, 305, 334, 6361, 302, 275, 8985, 741, 19, 204, 268, 320, 204, 268, 314, 13600, 275, 11689, 1554, 1025, 1259, 329, 537, 7703, 204, 268, 300, 289, 1301, 19, 1827, 64, 21, 66, 204, 268, 332, 289, 610, 2022, 83, 15, 83, 1664, 6358, 1802, 83, 17, 300, 602, 204, 268, 565, 289, 610, 64, 83, 15, 83, 20514, 6358, 1802, 83, 17, 300, 602, 204, 204, 268, 314, 3963, 275, 6361, 302, 275, 8985, 741, 974, 275, 1758, 11272, 69, 741, 204, 268, 314, 9076, 31, 334, 1758, 11272, 69, 741, 353, 508, 1917, 292, 275, 2171, 1576, 17, 204, 0 ]

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

[ 0, 268, 314, 754, 490, 677, 14534, 311, 444, 273, 2363, 741, 496, 31199, 275, 6361, 19, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 6361, 353, 1376, 19, 204, 268, 42572, 289, 435, 540, 1301, 1642, 332, 204, 268, 26667, 289, 435, 540, 361, 1642, 565, 204, 268, 407, 645, 19, 13750, 1802, 44352, 19, 12114, 2144, 26667, 19, 12114, 5887, 204, 204, 264, 407, 6361, 68, 2539, 204, 204, 461, 1356, 68, 11272, 13, 38, 1539, 31, 645, 19, 766, 17, 565, 1539, 31, 645, 19, 766, 17, 1301, 31, 645, 19, 766, 17, 361, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4191, 275, 6361, 302, 275, 8985, 741, 19, 204, 204, 264, 457, 31, 204, 268, 332, 1539, 322, 1123, 19, 766, 330, 334, 8421, 1259, 1525, 19, 204, 268, 565, 1539, 322, 1123, 19, 766, 330, 334, 8421, 537, 1525, 19, 204, 268, 1301, 322, 1123, 19, 766, 330, 334, 1259, 2264, 1525, 19, 204, 268, 361, 322, 1123, 19, 766, 330, 334, 537, 2264, 1525, 19, 204, 264, 320, 204, 264, 314, 15822, 275, 1259, 329, 537, 7703, 1025, 273, 2875, 11689, 1554, 204, 264, 377, 289, 645, 19, 13750, 1802, 38, 1539, 19, 12114, 2144, 565, 1539, 19, 12114, 5887, 204, 204, 264, 314, 968, 275, 8985, 741, 329, 1163, 6361, 204, 264, 8985, 68, 4266, 289, 7072, 68, 19343, 68, 2539, 13, 54, 17, 361, 14, 204, 264, 6361, 68, 4266, 289, 7072, 68, 11272, 68, 2539, 13, 54, 17, 361, 14, 204, 204, 264, 314, 778, 275, 6361, 974, 275, 1758, 2555, 68, 6164, 69, 741, 497, 6535, 5941, 204, 264, 9981, 289, 1356, 68, 6164, 13, 19343, 68, 4266, 17, 6361, 68, 4266, 17, 377, 14, 204, 264, 397, 9981, 1323, 368, 74, 18, 25, 31, 204, 268, 980, 987, 13, 75, 7, 13648, 27190, 908, 302, 6361, 353, 463, 5823, 743, 204, 204, 461, 683, 68, 11272, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 6361, 302, 275, 8985, 741, 19, 204, 264, 320, 204, 264, 332, 1539, 17, 565, 1539, 289, 3219, 68, 804, 68, 481, 374, 204, 264, 1301, 289, 368, 74, 18, 24, 540, 645, 19, 13493, 13, 24, 14, 204, 264, 361, 289, 645, 19, 13493, 13, 24, 14, 204, 264, 1356, 68, 11272, 13, 38, 1539, 17, 565, 1539, 17, 1301, 17, 361, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 11272, 374, 204, 0, 647, 2044, 23, 204, 204, 461, 5656, 68, 4814, 68, 531, 68, 3230, 13958, 13, 8844, 68, 998, 31, 421, 17, 2023, 68, 2435, 31, 421, 17, 2023, 68, 2757, 31, 421, 17, 17022, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 19305, 2752, 497, 273, 37978, 329, 2037, 490, 19, 204, 204, 264, 457, 31, 204, 268, 4812, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 4812, 311, 732, 19, 204, 268, 2023, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 2752, 2023, 19, 204, 268, 2023, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 2752, 2023, 19, 204, 268, 17022, 322, 339, 330, 334, 17022, 302, 275, 2752, 2023, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 12206, 13001, 726, 329, 758, 1163, 3564, 204, 264, 2752, 68, 10767, 289, 2044, 23, 19, 15200, 13, 8844, 68, 998, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 18002, 68, 6559, 17, 2023, 68, 2435, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 18002, 68, 7645, 17, 2023, 68, 2757, 14, 204, 264, 2752, 68, 10767, 19, 574, 13, 4869, 23, 19, 20503, 68, 27708, 68, 42212, 27002, 17, 17022, 14, 204, 204, 264, 314, 778, 397, 275, 2752, 5656, 353, 11771, 4073, 204, 264, 397, 508, 2752, 68, 10767, 19, 31215, 1293, 204, 268, 456, 499, 10219, 1451, 4812, 431, 204, 268, 407, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 1606, 273, 2023, 497, 275, 2752, 5656, 204, 268, 1978, 17, 2023, 289, 2752, 68, 10767, 19, 976, 374, 204, 268, 397, 508, 1978, 31, 204, 305, 456, 499, 10219, 7137, 2023, 431, 204, 305, 2280, 204, 204, 268, 314, 3740, 275, 2023, 204, 268, 2044, 23, 19, 8122, 499, 9501, 528, 2023, 14, 204, 204, 268, 314, 778, 348, 275, 379, 86, 12, 896, 3692, 311, 5925, 204, 268, 397, 2044, 23, 19, 13755, 13, 22, 14, 2343, 500, 19562, 564, 10014, 611, 86, 4448, 204, 305, 2280, 204, 204, 264, 314, 15763, 275, 2752, 5656, 329, 3671, 275, 2158, 204, 264, 2752, 68, 10767, 19, 8242, 374, 204, 264, 2044, 23, 19, 15524, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 968, 275, 1540, 4812, 2557, 204, 264, 1540, 68, 8844, 68, 998, 289, 500, 204, 264, 1540, 68, 1669, 68, 2435, 289, 27123, 204, 264, 1540, 68, 1669, 68, 2757, 289, 20509, 204, 264, 1540, 68, 24009, 289, 1607, 204, 204, 264, 314, 19305, 2752, 497, 275, 1540, 4812, 204, 264, 5656, 68, 4814, 68, 531, 68, 3230, 13958, 13, 2305, 68, 8844, 68, 998, 17, 1540, 68, 1669, 68, 2435, 17, 1540, 68, 1669, 68, 2757, 17, 1540, 68, 24009, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4104, 204, 531, 4277, 19, 11783, 68, 4165, 532, 39550, 204, 531, 4277, 19, 5878, 532, 3666, 68, 2224, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 1137, 68, 1292, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 1385, 4793, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 475, 31, 204, 264, 783, 64, 1218, 64, 325, 2440, 332, 458, 302, 3330, 17, 1273, 848, 7086, 458, 4504, 273, 1237, 292, 275, 2306, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 9733, 18590, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 6686, 289, 4104, 19, 6439, 13, 553, 14, 204, 305, 4793, 68, 481, 289, 551, 937, 348, 1237, 292, 6686, 66, 204, 305, 407, 4793, 68, 481, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1967, 68, 2226, 68, 416, 68, 1676, 13, 937, 31, 783, 64, 325, 694, 393, 1884, 64, 1218, 64, 339, 648, 421, 744, 204, 264, 320, 204, 264, 1986, 2048, 329, 1800, 497, 273, 2875, 1237, 19, 204, 204, 264, 457, 31, 204, 264, 1237, 322, 1218, 64, 325, 1037, 332, 458, 2457, 273, 1237, 292, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 339, 648, 421, 744, 332, 927, 1174, 275, 4989, 2048, 329, 1800, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2048, 329, 1017, 3310, 3265, 204, 264, 2048, 289, 551, 21, 66, 540, 931, 12991, 264, 2648, 68, 1608, 289, 463, 204, 268, 379, 10951, 339, 509, 8433, 6539, 84, 597, 500, 17, 204, 268, 379, 11508, 33186, 597, 368, 17, 204, 268, 379, 6648, 40141, 1257, 597, 435, 17, 204, 268, 379, 25387, 11614, 87, 2142, 6369, 501, 707, 29758, 865, 597, 571, 17, 204, 268, 379, 25387, 11614, 87, 2142, 6369, 650, 18886, 29758, 865, 597, 681, 17, 204, 268, 379, 41, 276, 355, 29974, 74, 14700, 70, 597, 720, 17, 204, 268, 379, 41, 276, 355, 23422, 2262, 530, 597, 887, 17, 204, 268, 379, 10492, 4927, 597, 1168, 17, 204, 268, 379, 13074, 4666, 597, 1132, 17, 204, 268, 379, 57, 865, 277, 597, 1233, 204, 264, 1211, 204, 264, 1800, 68, 1608, 289, 463, 204, 268, 379, 11805, 286, 17635, 597, 368, 17, 204, 268, 379, 6950, 76, 269, 17635, 597, 500, 204, 264, 1211, 204, 615, 264, 314, 1986, 2048, 329, 1800, 204, 264, 348, 782, 292, 1237, 31, 204, 268, 348, 2648, 17, 1112, 292, 2648, 68, 1608, 19, 1996, 1293, 204, 305, 397, 2648, 292, 782, 31, 204, 485, 2048, 64, 998, 66, 289, 368, 204, 268, 397, 379, 11805, 286, 17635, 12, 292, 782, 31, 204, 305, 1800, 289, 368, 204, 268, 1677, 379, 6950, 76, 269, 17635, 12, 292, 782, 31, 204, 305, 1800, 289, 500, 204, 264, 407, 2048, 17, 1800, 204, 204, 461, 1352, 68, 481, 13, 1292, 68, 481, 31, 783, 64, 1218, 64, 325, 4097, 393, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 3325, 275, 4793, 424, 560, 16997, 2048, 329, 1769, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 481, 322, 1218, 64, 1218, 64, 325, 3795, 332, 458, 302, 3330, 17, 1273, 848, 7086, 458, 4504, 273, 1237, 292, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 339, 2440, 332, 927, 1174, 275, 4050, 424, 329, 1769, 19, 204, 264, 320, 204, 264, 4050, 68, 481, 289, 1306, 204, 264, 1769, 289, 1306, 204, 264, 348, 1237, 292, 4793, 68, 481, 31, 204, 268, 2048, 17, 1800, 289, 1967, 68, 2226, 68, 416, 68, 1676, 13, 937, 14, 204, 268, 4050, 68, 481, 19, 1223, 13, 2226, 14, 204, 268, 1769, 19, 1223, 13, 1676, 14, 204, 264, 407, 4050, 68, 481, 17, 1769, 204, 204, 461, 3404, 68, 481, 13, 481, 31, 783, 64, 1218, 64, 339, 4395, 1769, 31, 783, 64, 339, 648, 3404, 68, 6534, 31, 818, 14, 393, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 1218, 64, 339, 4395, 783, 64, 339, 648, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 3736, 275, 424, 1025, 1737, 329, 2907, 3416, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 4050, 424, 19, 204, 264, 1769, 322, 1218, 64, 339, 1037, 332, 458, 302, 1769, 19, 204, 264, 3404, 68, 6534, 322, 996, 330, 334, 3726, 302, 424, 311, 444, 1376, 348, 1737, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 339, 4395, 783, 64, 1218, 64, 339, 4395, 783, 64, 339, 648, 783, 64, 339, 2440, 332, 927, 1174, 275, 1737, 424, 17, 2907, 424, 17, 1737, 1769, 17, 329, 2907, 1769, 19, 204, 264, 320, 204, 264, 314, 1974, 4277, 677, 951, 68, 804, 68, 1590, 741, 348, 16782, 424, 204, 264, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 481, 17, 1769, 17, 683, 68, 835, 34, 22, 18, 1590, 68, 6534, 17, 1400, 68, 1512, 34, 5820, 14, 204, 264, 407, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 204, 204, 461, 951, 68, 24102, 68, 8895, 13, 1219, 68, 481, 31, 783, 64, 1218, 64, 339, 4395, 951, 68, 2185, 31, 783, 64, 339, 694, 393, 39550, 31, 204, 264, 320, 204, 264, 2672, 437, 20321, 5266, 974, 275, 1737, 424, 19, 204, 204, 264, 457, 31, 204, 264, 951, 68, 481, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1737, 424, 19, 204, 264, 951, 68, 2185, 322, 1218, 64, 339, 1037, 332, 458, 302, 1737, 1769, 19, 204, 204, 264, 475, 31, 204, 264, 39550, 31, 332, 6020, 20321, 5266, 19, 204, 264, 320, 204, 264, 33718, 68, 8895, 289, 39550, 13, 7952, 34, 1975, 17, 846, 68, 2062, 34, 5758, 17, 29081, 34, 21, 19, 3145, 1003, 14, 204, 264, 33718, 68, 8895, 19, 2714, 13, 1219, 68, 481, 17, 951, 68, 2185, 14, 204, 264, 407, 33718, 68, 8895, 204, 204, 461, 683, 68, 24102, 68, 8895, 13, 24102, 68, 8895, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31, 39550, 17, 683, 68, 481, 31, 783, 64, 1218, 64, 339, 4395, 683, 68, 2185, 31, 783, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 20321, 5266, 974, 275, 2907, 424, 19, 204, 204, 264, 457, 31, 204, 264, 33718, 68, 8895, 322, 35552, 5948, 330, 332, 6020, 20321, 5266, 19, 204, 264, 683, 68, 481, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 2907, 424, 19, 204, 264, 683, 68, 2185, 322, 1218, 64, 339, 1037, 332, 458, 302, 2907, 1769, 19, 204, 264, 320, 204, 264, 3705, 289, 33718, 68, 8895, 19, 4396, 13, 804, 68, 481, 14, 204, 264, 3666, 289, 3666, 68, 2224, 13, 804, 68, 2185, 17, 3705, 14, 204, 264, 456, 13, 75, 7, 15735, 31, 463, 5893, 4567, 24, 75, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 4793, 68, 481, 289, 1137, 68, 1292, 68, 481, 611, 73, 19393, 18, 1460, 18, 997, 345, 22441, 19, 2039, 534, 204, 264, 4050, 68, 481, 17, 1769, 289, 1352, 68, 481, 13, 1292, 68, 481, 14, 204, 264, 951, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 683, 68, 2185, 289, 3404, 68, 481, 13, 4971, 68, 481, 17, 1769, 17, 500, 19, 29, 14, 204, 264, 33718, 68, 8895, 289, 951, 68, 24102, 68, 8895, 13, 1219, 68, 481, 17, 951, 68, 2185, 14, 204, 264, 683, 68, 24102, 68, 8895, 13, 24102, 68, 8895, 17, 683, 68, 481, 17, 683, 68, 2185, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 1449, 1020, 275, 14951, 292, 273, 19213, 10685, 302, 6096, 17509, 17, 3441, 468, 17, 329, 1864, 302, 4393, 18, 3769, 332, 17, 928, 353, 19213, 440, 437, 9955, 3581, 302, 15752, 17, 572, 618, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 29019, 273, 2637, 4724, 302, 275, 10685, 1416, 11328, 273, 3060, 2637, 4724, 302, 275, 10685, 440, 1277, 4992, 19, 334, 3351, 302, 808, 1103, 353, 3839, 93, 17, 329, 1163, 3284, 353, 17509, 4270, 93, 19, 204, 204, 23, 19, 930, 11479, 275, 21081, 5816, 1416, 334, 21081, 5816, 302, 808, 4724, 353, 15752, 3231, 87, 17, 1273, 15752, 353, 275, 9955, 3581, 329, 468, 353, 275, 3441, 302, 275, 10685, 19, 204, 204, 24, 19, 930, 11479, 275, 5422, 2955, 523, 275, 4724, 1416, 334, 5422, 2955, 523, 808, 4724, 353, 1936, 311, 1163, 3284, 2666, 1163, 5816, 17, 928, 353, 17509, 4270, 93, 13155, 3231, 87, 19, 204, 204, 25, 19, 930, 1823, 4267, 275, 6971, 1416, 334, 1698, 6971, 11877, 523, 808, 4724, 529, 275, 42866, 630, 1163, 970, 3885, 17, 313, 16092, 329, 313, 16241, 19, 4682, 1422, 353, 1236, 37201, 5816, 17, 275, 37201, 4550, 302, 313, 16092, 329, 313, 16241, 1631, 444, 1936, 329, 7283, 17, 754, 313, 16092, 289, 313, 16241, 289, 313, 19, 204, 204, 26, 19, 930, 11479, 275, 26788, 2955, 1416, 334, 26788, 2955, 523, 275, 4724, 353, 435, 57, 2883, 13, 73, 5907, 659, 1273, 40571, 353, 275, 2746, 1283, 313, 329, 275, 3441, 19, 4682, 3698, 13, 73, 5907, 14, 289, 4992, 20, 23, 87, 17, 275, 26788, 2955, 353, 435, 57, 13, 4928, 20, 23, 87, 14, 289, 313, 4928, 20, 87, 19, 204, 204, 27, 19, 930, 40899, 275, 26788, 2955, 311, 275, 5422, 2955, 1416, 6703, 1070, 275, 26788, 2955, 311, 275, 5422, 2955, 523, 275, 4724, 17, 572, 636, 313, 4928, 20, 87, 289, 17509, 4270, 93, 13155, 3231, 87, 19, 12748, 348, 313, 17, 572, 636, 313, 289, 17509, 38, 13155, 3231, 87, 3231, 19, 204, 204, 673, 14951, 353, 3324, 7870, 275, 10685, 2404, 275, 26788, 2955, 1945, 311, 3550, 848, 4724, 302, 275, 10685, 5751, 292, 273, 3620, 353, 275, 1729, 17, 329, 808, 2955, 353, 1917, 560, 275, 14951, 292, 275, 10685, 19, 828, 275, 14951, 1466, 508, 3324, 17, 1422, 1784, 444, 273, 5422, 2955, 523, 1429, 10054, 302, 275, 10685, 17, 12511, 1475, 311, 27862, 37201, 447, 17, 928, 353, 508, 275, 1322, 19, 204, 204, 673, 7159, 3698, 13, 73, 5907, 14, 289, 4992, 20, 23, 87, 7336, 497, 275, 3718, 496, 275, 3302, 7196, 560, 275, 3441, 17, 275, 4724, 4992, 17, 329, 275, 1007, 497, 275, 3466, 302, 275, 3620, 311, 275, 12288, 302, 4992, 353, 273, 1629, 3302, 17, 329, 275, 2746, 40571, 353, 2637, 17, 754, 3698, 13, 73, 5907, 14, 6753, 40571, 6753, 4992, 20, 23, 87, 19, 716, 204, 673, 10115, 302, 40571, 20799, 3391, 685, 2404, 17, 448, 40571, 7881, 2962, 17, 3615, 13, 73, 5907, 14, 7881, 368, 19, 716, 204, 673, 14951, 1631, 1337, 2404, 17, 2900, 490, 17, 1422, 1784, 444, 1236, 26788, 2955, 311, 3550, 275, 10685, 19213, 17, 928, 1784, 7958, 316, 12462, 677, 1350, 3938, 19, 0, 647, 2164, 204, 531, 10650, 25, 532, 5322, 204, 531, 14573, 532, 13615, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 204, 204, 8, 4861, 204, 8589, 68, 3778, 289, 388, 1942, 1963, 4537, 19, 664, 18, 16138, 5689, 18, 8340, 19, 1453, 7, 204, 204, 461, 636, 68, 1011, 68, 1424, 68, 1011, 68, 11880, 13, 805, 31, 394, 17, 3599, 68, 805, 14, 393, 5322, 31, 204, 264, 320, 204, 264, 763, 275, 1370, 18, 1424, 18, 1011, 5804, 348, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 11088, 19, 204, 268, 3599, 68, 805, 31, 334, 3599, 311, 1640, 275, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 5322, 31, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 264, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 5804, 289, 5322, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 264, 314, 6993, 275, 1274, 329, 2966, 292, 275, 3599, 204, 264, 3599, 68, 805, 19, 5021, 68, 389, 6758, 805, 597, 1779, 17, 379, 2079, 597, 958, 19, 492, 1937, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 407, 5804, 204, 204, 461, 636, 68, 3071, 68, 5093, 13, 11922, 85, 31, 5322, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 275, 1837, 3496, 497, 275, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 457, 31, 204, 268, 284, 17200, 322, 18091, 330, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 334, 1837, 3496, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 1043, 1237, 292, 275, 1435, 204, 264, 1237, 289, 284, 17200, 19, 2269, 611, 997, 534, 204, 264, 314, 1752, 830, 1837, 3496, 292, 275, 1237, 204, 264, 1837, 68, 5093, 289, 551, 3071, 19, 505, 68, 492, 374, 348, 1837, 292, 1237, 19, 2269, 68, 668, 611, 427, 10116, 204, 264, 407, 1837, 68, 5093, 204, 204, 461, 11088, 68, 389, 68, 1756, 13, 11922, 85, 31, 5322, 17, 1863, 17, 1489, 31, 394, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 18640, 1051, 1470, 497, 275, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 204, 264, 457, 31, 204, 268, 284, 17200, 322, 18091, 330, 334, 1370, 18, 1424, 18, 1011, 5804, 19, 204, 268, 1863, 31, 334, 1104, 311, 1640, 275, 424, 19, 204, 268, 1489, 322, 325, 330, 334, 1489, 302, 275, 1470, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 325, 2440, 334, 18044, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1837, 3496, 204, 264, 1837, 68, 5093, 289, 636, 68, 3071, 68, 5093, 13, 11922, 85, 14, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 1470, 424, 204, 264, 1470, 68, 481, 289, 1306, 204, 264, 314, 1752, 830, 3015, 292, 275, 1435, 204, 264, 3015, 289, 284, 17200, 19, 2269, 68, 668, 611, 997, 9520, 23, 5853, 204, 264, 348, 1237, 292, 3015, 31, 204, 268, 810, 31, 204, 305, 314, 1752, 275, 12853, 204, 305, 12853, 289, 1237, 19, 2269, 611, 427, 491, 13640, 7860, 481, 18, 9529, 597, 379, 24768, 38245, 505, 68, 492, 374, 204, 268, 827, 13289, 31, 204, 305, 314, 10248, 3015, 2900, 273, 12853, 204, 305, 3524, 204, 268, 314, 1752, 830, 4207, 292, 275, 1237, 204, 268, 4207, 289, 1237, 19, 2269, 68, 668, 611, 8171, 534, 204, 268, 397, 508, 4207, 31, 204, 305, 314, 10248, 3015, 2900, 4207, 204, 305, 3524, 204, 268, 314, 1986, 275, 424, 497, 275, 4207, 204, 268, 690, 289, 4207, 64, 21, 1664, 505, 68, 492, 374, 204, 268, 1873, 289, 4207, 64, 22, 1664, 505, 68, 492, 374, 204, 268, 311, 3216, 289, 4207, 64, 23, 1664, 505, 68, 492, 374, 204, 268, 2852, 289, 4207, 64, 24, 1664, 505, 68, 492, 374, 204, 268, 7058, 289, 4207, 64, 25, 1664, 505, 68, 492, 374, 204, 268, 284, 17200, 68, 70, 289, 4207, 64, 26, 1664, 505, 68, 492, 374, 204, 268, 284, 17200, 68, 77, 289, 4207, 64, 27, 1664, 505, 68, 492, 374, 204, 268, 1918, 68, 71, 289, 4207, 64, 28, 1664, 505, 68, 492, 374, 204, 268, 1918, 68, 70, 289, 4207, 64, 29, 1664, 505, 68, 492, 374, 204, 268, 2941, 68, 29418, 289, 4207, 64, 30, 1664, 505, 68, 492, 374, 204, 268, 314, 666, 273, 458, 302, 424, 204, 268, 1370, 289, 551, 24768, 17, 690, 17, 1873, 17, 311, 3216, 17, 2852, 17, 7058, 17, 284, 17200, 68, 70, 17, 284, 17200, 68, 77, 17, 1918, 68, 71, 17, 1918, 68, 70, 17, 2941, 68, 29418, 17, 1489, 66, 204, 268, 314, 666, 273, 955, 302, 424, 204, 268, 424, 289, 463, 80, 31, 376, 348, 724, 17, 376, 292, 4337, 13, 3071, 68, 5093, 17, 1370, 4150, 204, 268, 314, 6461, 275, 424, 1025, 275, 1104, 204, 268, 1863, 19, 5021, 68, 389, 13, 481, 14, 204, 268, 314, 5230, 275, 424, 311, 275, 1470, 424, 458, 204, 268, 1470, 68, 481, 19, 1223, 13, 1011, 14, 204, 264, 407, 1470, 68, 481, 204, 204, 461, 636, 68, 7037, 68, 633, 68, 26410, 13, 12193, 31, 783, 64, 339, 648, 8735, 31, 783, 64, 325, 694, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 275, 5444, 311, 11088, 348, 273, 800, 458, 302, 2181, 329, 8735, 19, 204, 204, 264, 457, 31, 204, 268, 2181, 322, 1218, 64, 339, 1037, 334, 458, 302, 2181, 311, 11088, 19, 204, 268, 8735, 322, 1218, 64, 325, 1037, 334, 458, 302, 8735, 311, 11088, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 334, 5444, 311, 11088, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 5444, 204, 264, 5444, 289, 1306, 204, 264, 348, 1324, 292, 2181, 31, 204, 268, 348, 3747, 292, 8735, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 3747, 1472, 204, 305, 958, 289, 2164, 19, 505, 13, 75, 1954, 8589, 68, 3778, 5865, 12193, 4235, 2873, 8246, 7704, 3572, 27022, 431, 204, 305, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 305, 5804, 289, 5322, 13, 1935, 19, 492, 17, 379, 2079, 19, 3766, 534, 204, 305, 314, 1752, 830, 1470, 5549, 5444, 204, 305, 1470, 68, 7111, 68, 7037, 289, 5804, 19, 2269, 68, 668, 13, 676, 20121, 1756, 68, 7111, 14036, 1236, 36185, 534, 204, 305, 348, 1977, 292, 1470, 68, 7111, 68, 7037, 31, 204, 485, 314, 1986, 275, 1977, 204, 485, 5444, 19, 1223, 13, 2850, 19, 2269, 68, 668, 611, 70, 9520, 22, 6690, 9919, 2378, 204, 264, 407, 5444, 204, 204, 461, 1523, 68, 24564, 13, 7037, 31, 783, 64, 325, 648, 1863, 17, 3599, 68, 805, 14, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 2466, 275, 18272, 348, 273, 800, 458, 302, 5444, 19, 204, 204, 264, 457, 31, 204, 268, 5444, 322, 1218, 64, 325, 1037, 334, 458, 302, 5444, 311, 11088, 19, 204, 268, 1863, 31, 334, 1104, 311, 1640, 275, 424, 19, 204, 268, 3599, 68, 805, 31, 334, 3599, 311, 1640, 275, 5448, 19, 204, 204, 264, 475, 31, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 783, 64, 1218, 64, 325, 2440, 334, 18044, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 18044, 424, 204, 264, 424, 289, 1306, 204, 264, 348, 1977, 292, 5444, 31, 204, 268, 314, 5128, 275, 3101, 1274, 204, 268, 1779, 289, 283, 1954, 8589, 68, 3778, 1134, 2850, 2495, 204, 268, 314, 763, 275, 1370, 18, 1424, 18, 1011, 5804, 204, 268, 284, 17200, 289, 636, 68, 1011, 68, 1424, 68, 1011, 68, 11880, 13, 805, 17, 3599, 68, 805, 14, 204, 268, 314, 18640, 275, 1470, 204, 268, 1470, 68, 481, 289, 11088, 68, 389, 68, 1756, 13, 11922, 85, 17, 1863, 17, 1977, 14, 204, 268, 314, 5230, 275, 1470, 424, 311, 275, 18044, 424, 204, 268, 424, 19, 6683, 13, 1756, 68, 481, 14, 204, 264, 407, 424, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 6370, 311, 275, 7450, 1545, 204, 264, 1545, 289, 13615, 611, 7714, 31, 35597, 534, 204, 264, 314, 5988, 275, 1104, 204, 264, 1863, 289, 1545, 736, 3972, 9787, 839, 204, 264, 314, 5988, 275, 5920, 204, 264, 3599, 68, 805, 289, 1863, 736, 3968, 839, 204, 264, 3599, 68, 481, 289, 1863, 736, 73, 10034, 33745, 839, 204, 264, 314, 968, 275, 2181, 329, 8735, 311, 11088, 204, 264, 2181, 289, 551, 12425, 66, 204, 264, 8735, 289, 551, 75, 7, 7704, 1859, 78, 2495, 348, 296, 292, 933, 13, 22, 17, 1916, 2395, 204, 264, 314, 763, 275, 5444, 311, 11088, 204, 264, 5444, 289, 636, 68, 7037, 68, 633, 68, 26410, 13, 12193, 17, 8735, 14, 204, 264, 314, 2466, 275, 18272, 204, 264, 424, 289, 1523, 68, 24564, 13, 7037, 17, 3599, 68, 481, 17, 3599, 68, 805, 14, 204, 264, 314, 2208, 275, 424, 311, 273, 3805, 3135, 204, 264, 2349, 289, 1246, 19, 1362, 13, 655, 13, 5763, 68, 481, 19, 2269, 5887, 204, 264, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 264, 2349, 19, 633, 68, 2039, 611, 12425, 68, 15675, 19, 2039, 534, 204, 264, 314, 5706, 275, 7450, 1545, 204, 264, 1545, 19, 3529, 374, 204, 0, 647, 304, 204, 531, 1498, 532, 783, 204, 204, 461, 1967, 68, 2749, 68, 12020, 68, 5990, 13, 2749, 68, 492, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 275, 2342, 1085, 497, 273, 800, 1068, 17, 16533, 275, 5085, 4446, 19, 204, 204, 264, 457, 31, 204, 268, 2342, 68, 492, 322, 325, 330, 334, 537, 1068, 496, 1741, 918, 273, 5085, 4446, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2342, 2900, 275, 5085, 4446, 17, 521, 437, 1392, 782, 397, 275, 5085, 4446, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 1020, 275, 2342, 1085, 2518, 275, 5085, 4446, 204, 264, 2216, 289, 304, 19, 1803, 13, 87, 37710, 67, 17865, 36872, 83, 27777, 31, 11541, 2342, 68, 492, 17, 304, 19, 36164, 9074, 14, 204, 264, 397, 2216, 31, 204, 268, 314, 455, 275, 2342, 1085, 17, 27192, 302, 6043, 329, 12467, 10494, 204, 268, 407, 2216, 19, 2207, 13, 22, 789, 2892, 374, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 782, 397, 1236, 5085, 4446, 353, 1193, 204, 268, 407, 3026, 204, 204, 461, 1967, 68, 3709, 68, 655, 68, 531, 68, 2749, 13, 2749, 68, 492, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 7483, 273, 458, 302, 5085, 497, 273, 800, 2342, 1068, 19, 204, 204, 264, 457, 31, 204, 268, 2342, 68, 492, 322, 325, 330, 334, 537, 1068, 496, 1741, 918, 273, 5085, 4446, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 5085, 17, 521, 437, 1392, 458, 397, 1236, 5085, 529, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 1020, 275, 5085, 4446, 204, 264, 2216, 289, 304, 19, 1803, 13, 87, 7, 27777, 24082, 9371, 3920, 528, 2342, 68, 492, 17, 304, 19, 21645, 47697, 1152, 304, 19, 36164, 9074, 14, 204, 264, 397, 2216, 31, 204, 268, 314, 1986, 275, 5085, 782, 329, 3404, 490, 1025, 3509, 5085, 204, 268, 3518, 68, 1031, 289, 2216, 19, 2207, 13, 22, 789, 2892, 374, 204, 268, 314, 455, 273, 458, 302, 5085, 17, 27192, 302, 6043, 329, 12467, 10494, 204, 268, 407, 551, 3709, 19, 2892, 374, 348, 3518, 292, 3518, 68, 1031, 19, 1590, 30867, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 458, 397, 1236, 5085, 4446, 353, 1193, 204, 268, 407, 1306, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2342, 68, 492, 289, 320, 204, 264, 1058, 353, 273, 1672, 2342, 19, 204, 264, 1547, 869, 3536, 2238, 19, 204, 264, 36116, 31, 3518, 22, 17, 3518, 23, 17, 3518, 24, 204, 264, 320, 204, 264, 456, 499, 12385, 2900, 5085, 2212, 204, 264, 456, 13, 5184, 68, 2749, 68, 12020, 68, 5990, 13, 2749, 68, 492, 602, 204, 264, 456, 499, 10833, 458, 2212, 204, 264, 456, 13, 5184, 68, 3709, 68, 655, 68, 531, 68, 2749, 13, 2749, 68, 492, 602, 204, 0, 647, 3238, 204, 647, 1127, 204, 647, 4845, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 6552, 628, 47983, 974, 3505, 94, 85, 946, 431, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 39223, 85, 946, 68, 546, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 3505, 94, 85, 946, 11216, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 4047, 85, 68, 546, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 275, 628, 47983, 11216, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 768, 68, 553, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 537, 510, 348, 628, 47983, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 1420, 68, 553, 528, 204, 268, 1187, 34, 325, 17, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 4203, 311, 275, 919, 510, 348, 628, 47983, 528, 204, 264, 1179, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 204, 461, 3219, 68, 39223, 85, 946, 13, 1038, 31, 3238, 19, 5750, 14, 393, 394, 31, 204, 264, 320, 204, 264, 1359, 719, 3505, 94, 85, 946, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 2621, 311, 275, 3505, 94, 85, 946, 11216, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 3505, 94, 85, 946, 11216, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 39223, 85, 946, 68, 546, 330, 204, 268, 980, 3180, 499, 40, 4473, 85, 946, 11216, 508, 1193, 431, 204, 264, 407, 2042, 19, 39223, 85, 946, 68, 546, 204, 204, 204, 461, 1523, 68, 4047, 85, 13, 39223, 85, 946, 68, 546, 31, 394, 17, 2042, 31, 3238, 19, 5750, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 628, 47983, 974, 3505, 94, 85, 946, 19, 204, 204, 264, 457, 31, 204, 268, 2074, 94, 85, 946, 68, 546, 322, 325, 330, 2621, 311, 275, 3505, 94, 85, 946, 11216, 19, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 628, 47983, 11216, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 4047, 85, 68, 546, 330, 204, 268, 980, 3180, 499, 59, 47983, 11216, 508, 1193, 431, 204, 615, 264, 314, 778, 397, 275, 537, 510, 2560, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1038, 19, 768, 68, 553, 330, 204, 268, 980, 3180, 499, 3383, 510, 508, 1193, 431, 204, 615, 264, 314, 2466, 628, 47983, 974, 3505, 94, 85, 946, 204, 264, 810, 31, 204, 268, 314, 1974, 4845, 311, 1523, 275, 1354, 204, 268, 1354, 289, 283, 1954, 39223, 85, 946, 68, 546, 98, 463, 1038, 19, 4047, 85, 68, 546, 98, 463, 1038, 19, 768, 68, 553, 98, 1323, 463, 1038, 19, 1420, 68, 553, 2495, 204, 268, 4845, 19, 1777, 13, 2196, 17, 7902, 34, 1021, 17, 1356, 34, 1021, 14, 204, 264, 827, 4845, 19, 15054, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4436, 628, 47983, 31, 463, 74, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 1007, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 615, 264, 314, 1359, 719, 3505, 94, 85, 946, 204, 264, 2074, 94, 85, 946, 68, 546, 289, 3219, 68, 39223, 85, 946, 13, 1038, 14, 204, 615, 264, 314, 2466, 628, 47983, 974, 3505, 94, 85, 946, 204, 264, 1523, 68, 4047, 85, 13, 39223, 85, 946, 68, 546, 17, 2042, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 17970, 5313, 329, 39168, 4225, 31274, 204, 204, 673, 3773, 302, 437, 1392, 758, 618, 444, 33624, 17, 448, 490, 6965, 311, 45060, 275, 6733, 302, 273, 758, 448, 273, 3599, 302, 2828, 19, 3355, 17, 275, 1392, 758, 353, 273, 3600, 3773, 292, 9207, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 204, 204, 1380, 2026, 4128, 273, 1359, 3300, 17970, 36, 204, 204, 38, 758, 618, 444, 1392, 2404, 275, 4790, 302, 273, 758, 1583, 508, 4426, 490, 311, 874, 1169, 1842, 19, 592, 3718, 17, 275, 1392, 758, 353, 273, 7370, 302, 2589, 758, 17, 329, 490, 353, 273, 3600, 3773, 292, 1910, 6542, 2758, 17, 1702, 448, 6907, 329, 8651, 19, 204, 204, 673, 1392, 758, 353, 3667, 6717, 448, 2087, 521, 46892, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 1058, 3210, 496, 490, 1583, 508, 918, 1169, 2828, 17, 329, 490, 353, 508, 275, 1729, 448, 273, 758, 496, 3192, 273, 2875, 1103, 17, 1702, 448, 463, 2768, 233, 3572, 204, 204, 1380, 11449, 353, 275, 17970, 1359, 273, 40294, 302, 12320, 1359, 36, 204, 204, 673, 1392, 758, 353, 273, 7370, 302, 2589, 758, 2404, 490, 1583, 508, 918, 1169, 1842, 496, 529, 508, 292, 275, 904, 758, 19, 592, 904, 2159, 17, 2589, 1103, 302, 275, 1392, 758, 353, 1425, 437, 1103, 302, 1169, 904, 758, 17, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 19, 204, 204, 1834, 618, 444, 5298, 448, 273, 23781, 302, 275, 4790, 302, 273, 7370, 19, 332, 758, 332, 353, 273, 7370, 302, 273, 758, 565, 397, 2589, 1103, 302, 332, 353, 1425, 437, 1103, 302, 565, 19, 4682, 275, 1392, 758, 869, 1236, 1842, 17, 490, 12478, 808, 2407, 348, 1169, 758, 565, 19, 204, 204, 1380, 39168, 4225, 31274, 204, 204, 673, 3773, 302, 12307, 4225, 7180, 353, 3232, 311, 275, 1392, 758, 329, 275, 2501, 572, 7072, 8886, 1465, 3416, 19, 332, 4818, 1465, 273, 758, 353, 6028, 3597, 397, 490, 353, 3597, 348, 830, 1842, 302, 275, 758, 19, 3355, 17, 397, 275, 758, 353, 1392, 17, 1675, 275, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 311, 1356, 19, 204, 204, 3070, 1763, 17, 2506, 275, 4818, 388, 5797, 1842, 302, 275, 1392, 758, 529, 4720, 3343, 1058, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 20069, 17, 275, 4818, 388, 5797, 1842, 302, 275, 1392, 758, 529, 5631, 7, 353, 1425, 6028, 3597, 19, 204, 204, 1834, 1741, 5111, 4328, 339, 48287, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 490, 353, 273, 23781, 302, 275, 2501, 572, 7072, 8886, 1465, 3416, 19, 1547, 353, 1425, 3232, 311, 275, 3773, 302, 13885, 8886, 17, 1273, 273, 4818, 302, 275, 798, 388, 3719, 415, 1675, 1301, 7, 353, 6028, 3597, 397, 415, 353, 7463, 17, 16527, 302, 275, 7180, 700, 302, 1301, 19, 204, 204, 1380, 12636, 302, 34661, 204, 204, 673, 3773, 302, 12307, 4225, 7180, 1425, 13456, 311, 11947, 1283, 3416, 19, 1765, 1763, 17, 2506, 275, 4818, 388, 3070, 830, 610, 292, 275, 1392, 758, 17, 415, 13, 93, 14, 353, 3597, 3343, 1058, 4818, 353, 6028, 3597, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 204, 204, 24911, 17, 275, 4818, 388, 2841, 2560, 610, 292, 275, 1392, 758, 1702, 496, 415, 13, 93, 14, 353, 3597, 7, 353, 6028, 7463, 2404, 1422, 529, 1236, 1842, 292, 275, 1392, 758, 311, 1356, 19, 204, 204, 837, 5549, 17, 275, 1392, 758, 353, 273, 3600, 3773, 292, 9207, 17, 329, 490, 353, 4310, 448, 273, 758, 440, 1236, 1842, 19, 334, 1392, 758, 353, 273, 7370, 302, 2589, 758, 17, 329, 490, 353, 3232, 311, 275, 3773, 302, 12307, 4225, 7180, 17, 928, 3584, 496, 273, 4818, 1465, 273, 758, 353, 6028, 3597, 397, 490, 353, 3597, 348, 830, 1842, 302, 275, 758, 17, 2219, 397, 275, 758, 353, 1392, 19, 0, 647, 3238, 204, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 4378, 19, 18257, 448, 15482, 204, 531, 41657, 48, 291, 4949, 532, 41657, 48, 291, 4949, 204, 204, 461, 1137, 68, 2626, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 1767, 424, 497, 273, 2010, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2010, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 9387, 1767, 424, 19, 204, 264, 320, 204, 264, 407, 645, 19, 986, 13, 553, 68, 546, 14, 204, 204, 461, 3234, 68, 1386, 68, 266, 68, 2626, 13, 204, 264, 1767, 31, 645, 19, 766, 17, 716, 264, 1419, 68, 9670, 31, 458, 17, 716, 264, 771, 68, 5749, 31, 421, 17, 716, 264, 3442, 31, 818, 17, 716, 264, 2399, 68, 5053, 31, 818, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 18646, 437, 726, 292, 273, 1767, 302, 6710, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 1123, 19, 766, 330, 11881, 302, 6710, 19, 204, 268, 1419, 68, 9670, 322, 655, 330, 807, 4392, 2992, 19, 204, 268, 771, 68, 5749, 322, 339, 330, 3239, 302, 6195, 348, 41657, 18, 48, 291, 4949, 19, 204, 268, 3442, 322, 996, 330, 24346, 348, 46226, 11689, 19, 204, 268, 2399, 68, 5053, 322, 996, 330, 24346, 348, 15628, 3855, 311, 1395, 2399, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 4964, 17401, 4392, 2992, 19, 204, 264, 320, 204, 264, 314, 763, 1767, 5150, 204, 264, 1853, 17, 2198, 17, 771, 68, 7022, 289, 1767, 19, 1827, 204, 204, 264, 314, 977, 2558, 204, 264, 1395, 289, 959, 204, 264, 2399, 68, 5053, 68, 876, 289, 2399, 68, 5053, 204, 264, 1419, 68, 3143, 289, 1767, 3460, 8893, 500, 66, 204, 264, 1419, 68, 1096, 289, 645, 19, 4324, 13, 23, 14, 204, 264, 4392, 289, 645, 19, 643, 13, 3474, 68, 9670, 14, 204, 204, 264, 314, 977, 27028, 4392, 2992, 204, 264, 27028, 68, 22793, 289, 645, 19, 643, 13, 9670, 14, 204, 204, 264, 348, 296, 292, 933, 13, 920, 68, 7022, 338, 368, 330, 204, 268, 314, 763, 790, 329, 1682, 6710, 204, 268, 790, 68, 1669, 289, 1767, 3460, 8893, 296, 465, 368, 66, 204, 204, 268, 314, 888, 917, 974, 41657, 18, 48, 291, 4949, 204, 268, 917, 289, 41657, 48, 291, 4949, 13, 3474, 68, 3143, 17, 790, 68, 1669, 17, 4392, 17, 3442, 17, 771, 68, 5749, 17, 284, 21, 34, 3474, 68, 1096, 14, 204, 204, 268, 314, 888, 717, 917, 204, 268, 717, 68, 1096, 289, 917, 465, 551, 9670, 64, 21, 66, 338, 4392, 64, 21, 648, 4392, 64, 22, 66, 338, 4392, 64, 22, 2629, 204, 204, 268, 314, 888, 717, 917, 974, 41657, 18, 48, 291, 4949, 440, 1419, 2399, 204, 268, 717, 68, 1096, 68, 12113, 289, 41657, 48, 291, 4949, 13, 2626, 3460, 8893, 500, 648, 790, 68, 1669, 17, 4392, 17, 3442, 17, 771, 68, 5749, 17, 284, 21, 34, 1957, 68, 1096, 14, 204, 204, 268, 314, 888, 2652, 204, 268, 2652, 289, 645, 19, 11450, 19, 5915, 13, 1957, 68, 1096, 338, 717, 68, 1096, 68, 12113, 14, 204, 204, 268, 397, 2652, 962, 2399, 68, 5053, 68, 876, 31, 204, 305, 314, 1716, 4392, 2992, 204, 305, 722, 68, 1096, 289, 322, 1957, 68, 1096, 68, 12113, 338, 551, 9670, 64, 21, 66, 338, 4392, 64, 21, 648, 4392, 64, 22, 66, 338, 4392, 64, 22, 4097, 204, 305, 4392, 64, 21, 66, 1412, 722, 68, 1096, 64, 21, 66, 204, 305, 4392, 64, 22, 66, 1412, 722, 68, 1096, 64, 22, 66, 204, 305, 4392, 64, 23, 66, 1412, 722, 68, 1096, 64, 21, 66, 204, 305, 4392, 64, 24, 66, 1412, 722, 68, 1096, 64, 22, 66, 204, 204, 305, 314, 1716, 2399, 329, 917, 204, 305, 1419, 68, 3143, 289, 790, 68, 1669, 204, 305, 1419, 68, 1096, 289, 645, 19, 4324, 13, 23, 14, 204, 204, 305, 314, 5230, 717, 4392, 2992, 204, 305, 27028, 68, 22793, 289, 645, 19, 25658, 1802, 46917, 68, 22793, 17, 4392, 602, 204, 268, 902, 31, 204, 305, 314, 5230, 717, 4392, 2992, 204, 305, 27028, 68, 22793, 289, 645, 19, 25658, 1802, 46917, 68, 22793, 17, 551, 9670, 64, 21, 66, 465, 917, 64, 21, 648, 4392, 64, 22, 66, 465, 917, 64, 22, 648, 4392, 64, 23, 66, 465, 917, 64, 21, 648, 4392, 64, 24, 66, 465, 917, 64, 22, 32758, 204, 204, 305, 314, 1716, 917, 204, 305, 1419, 68, 1096, 289, 917, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 204, 264, 407, 27028, 68, 22793, 204, 204, 461, 8603, 68, 16493, 68, 2826, 13, 204, 264, 1767, 31, 645, 19, 766, 17, 716, 264, 4410, 68, 9319, 68, 22793, 31, 645, 19, 766, 17, 716, 264, 27028, 68, 22793, 31, 645, 19, 766, 17, 716, 264, 2023, 68, 1630, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12626, 275, 13575, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 1123, 19, 766, 330, 11881, 302, 6710, 19, 204, 268, 4410, 68, 9319, 68, 22793, 322, 1123, 19, 766, 330, 23557, 7180, 4392, 2992, 19, 204, 268, 27028, 68, 22793, 322, 1123, 19, 766, 330, 4964, 17401, 4392, 2992, 19, 204, 268, 2023, 68, 1630, 322, 655, 330, 14354, 886, 311, 8603, 19, 204, 264, 320, 204, 264, 348, 2023, 68, 1190, 292, 2023, 68, 1630, 31, 204, 268, 314, 763, 790, 2023, 329, 4392, 2992, 204, 268, 2023, 289, 1767, 3460, 8893, 2023, 68, 1190, 66, 204, 268, 4410, 68, 9319, 68, 9670, 289, 4410, 68, 9319, 68, 22793, 64, 1669, 68, 1190, 17, 10113, 204, 268, 27028, 68, 9670, 289, 27028, 68, 22793, 64, 1669, 68, 1190, 17, 10113, 204, 204, 268, 314, 666, 4368, 329, 3138, 204, 268, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 268, 314, 3740, 2023, 204, 268, 1711, 19, 8122, 13, 1669, 17, 14033, 833, 8472, 534, 204, 204, 268, 314, 1255, 4410, 7180, 4392, 204, 268, 1711, 19, 826, 68, 5690, 13, 18257, 19, 24953, 13, 204, 305, 322, 3335, 68, 9319, 68, 9670, 64, 21, 648, 4410, 68, 9319, 68, 9670, 64, 22, 5060, 716, 305, 322, 3335, 68, 9319, 68, 9670, 64, 23, 66, 338, 4410, 68, 9319, 68, 9670, 64, 21, 5060, 716, 305, 322, 3335, 68, 9319, 68, 9670, 64, 24, 66, 338, 4410, 68, 9319, 68, 9670, 64, 22, 5060, 716, 305, 38459, 833, 71, 491, 716, 305, 42685, 833, 10953, 491, 716, 305, 18953, 34, 23, 204, 268, 19634, 204, 204, 268, 314, 1255, 27028, 4392, 204, 268, 1711, 19, 826, 68, 5690, 13, 18257, 19, 24953, 13, 204, 305, 322, 46917, 68, 9670, 64, 21, 648, 27028, 68, 9670, 64, 22, 5060, 716, 305, 322, 46917, 68, 9670, 64, 23, 66, 338, 27028, 68, 9670, 64, 21, 5060, 716, 305, 322, 46917, 68, 9670, 64, 24, 66, 338, 27028, 68, 9670, 64, 22, 5060, 716, 305, 38459, 833, 87, 491, 716, 305, 42685, 833, 10953, 491, 716, 305, 18953, 34, 23, 204, 268, 19634, 204, 204, 268, 314, 3025, 4368, 204, 268, 2836, 19, 12273, 13, 75, 12, 6691, 2826, 20, 76, 24614, 6734, 68, 34710, 294, 96, 1669, 68, 1190, 3572, 4955, 491, 14185, 68, 22520, 833, 14923, 534, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 374, 204, 264, 1732, 19, 826, 68, 2389, 5919, 920, 68, 5749, 491, 1187, 34, 339, 17, 1540, 34, 13971, 17, 1340, 833, 4290, 302, 6195, 348, 41657, 18, 48, 291, 4949, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 5053, 491, 1187, 34, 996, 17, 1540, 34, 22, 74, 18, 23, 17, 1340, 833, 29807, 348, 46226, 11689, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3143, 68, 5053, 491, 1187, 34, 996, 17, 1540, 34, 26, 17, 1340, 833, 29807, 348, 15628, 3855, 311, 1395, 2399, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 314, 1385, 1767, 424, 204, 264, 1767, 289, 1137, 68, 2626, 68, 481, 34514, 481, 20, 76, 24614, 6734, 19, 12942, 431, 204, 204, 264, 314, 968, 1419, 4392, 2992, 204, 264, 1419, 68, 9670, 289, 551, 21887, 17, 36091, 17, 30786, 17, 571, 2132, 66, 204, 204, 264, 314, 1385, 4410, 7180, 4392, 2992, 204, 264, 4410, 68, 9319, 68, 22793, 289, 1137, 68, 2626, 68, 481, 611, 76, 24614, 6734, 41480, 19, 12942, 534, 204, 204, 264, 314, 18646, 726, 292, 1767, 204, 264, 27028, 68, 22793, 289, 3234, 68, 1386, 68, 266, 68, 2626, 13, 204, 268, 1767, 17, 716, 268, 1419, 68, 9670, 17, 716, 268, 2042, 19, 920, 68, 5749, 17, 716, 268, 2042, 19, 5053, 17, 716, 268, 2042, 19, 3143, 68, 5053, 204, 264, 1179, 204, 204, 264, 314, 3025, 27028, 4392, 2992, 204, 264, 645, 19, 2360, 611, 76, 24614, 6734, 41480, 18, 35439, 1644, 19, 12942, 491, 27028, 68, 22793, 14, 204, 204, 264, 314, 968, 2023, 886, 311, 8603, 204, 264, 2023, 68, 1630, 289, 551, 22, 17, 1199, 17, 2846, 17, 3382, 17, 5074, 66, 204, 204, 264, 314, 12626, 13575, 1563, 204, 264, 8603, 68, 16493, 68, 2826, 13, 2626, 17, 4410, 68, 9319, 68, 22793, 17, 27028, 68, 22793, 17, 2023, 68, 1630, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 9884, 32466, 854, 11476, 9896, 27719, 8461, 42024, 4409, 11104, 408, 6883, 11553, 6371, 30602, 10364, 408, 2253, 12516, 9768, 10120, 3784, 12261, 408, 11035, 6232, 8342, 408, 9884, 32466, 2570, 942, 18426, 41527, 854, 15143, 36996, 408, 20780, 9884, 32466, 975, 101, 2455, 9098, 408, 9884, 32466, 975, 101, 2455, 9098, 6564, 9884, 32466, 3283, 2801, 256, 204, 15433, 32466, 1116, 12836, 9884, 32466, 975, 101, 2455, 5351, 1191, 9884, 32466, 3283, 2801, 256, 23056, 16497, 1822, 3812, 204, 32466, 1116, 12836, 2499, 4736, 3827, 22401, 9884, 32466, 975, 101, 2455, 9098, 15860, 10941, 9358, 18791, 22640, 725, 19083, 725, 4121, 13769, 460, 8188, 10398, 2386, 12522, 23337, 4268, 10853, 568, 32466, 1116, 12836, 854, 1902, 942, 9884, 32466, 24615, 17363, 725, 4664, 19989, 725, 15234, 5259, 725, 20369, 10332, 39212, 24917, 26997, 3140, 204, 9884, 32466, 975, 101, 2455, 9098, 10633, 3589, 460, 1227, 41972, 9352, 29105, 460, 13391, 15772, 5890, 33105, 8922, 3812, 204, 9884, 32466, 975, 101, 2455, 9098, 8747, 3622, 5890, 1603, 9884, 32466, 975, 101, 2455, 9098, 27257, 854, 19084, 6290, 460, 408, 5643, 9884, 32466, 975, 101, 2455, 9098, 921, 8561, 17673, 9238, 854, 4485, 3590, 20662, 46244, 408, 5643, 8561, 17673, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9238, 460, 9884, 32466, 975, 101, 2455, 9098, 7813, 12840, 2065, 12489, 16081, 408, 6663, 12562, 17408, 408, 8681, 21492, 14635, 3361, 6817, 204, 44690, 942, 8684, 7282, 2657, 7960, 9884, 32466, 975, 101, 2455, 9098, 10454, 3812, 32466, 1116, 12836, 9884, 32466, 975, 101, 2455, 9098, 23328, 34679, 3812, 204, 42641, 9884, 32466, 975, 101, 2455, 9098, 12808, 2657, 28158, 9308, 23316, 2780, 12854, 2386, 21977, 2405, 33322, 8612, 18426, 16122, 408, 6429, 13751, 23037, 2145, 17662, 31970, 21307, 39639, 9308, 8418, 408, 32021, 2657, 28158, 2499, 2006, 15944, 10263, 5944, 16756, 11562, 1773, 44232, 2006, 2638, 204, 9884, 32466, 1689, 13871, 854, 9884, 32466, 975, 101, 2455, 9098, 1191, 2405, 7333, 12582, 14168, 8681, 21492, 11104, 408, 7466, 7059, 12165, 6049, 25034, 3235, 17535, 17979, 408, 1603, 4411, 3590, 8241, 34558, 408, 18906, 8342, 4411, 6472, 6371, 13191, 21472, 23427, 408, 2657, 35232, 6960, 2780, 1116, 18897, 29390, 6486, 204, 3429, 15572, 460, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 25731, 5591, 7744, 3812, 204, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 4987, 7115, 2675, 3833, 24567, 14139, 460, 18426, 29823, 1846, 11104, 3058, 16626, 2112, 33074, 8561, 17673, 9884, 32466, 975, 101, 19459, 7744, 1822, 4323, 1002, 831, 408, 6658, 25599, 1002, 14346, 408, 33242, 3429, 15572, 460, 8561, 17673, 9884, 32466, 975, 101, 2455, 9098, 25731, 5591, 7744, 4770, 9416, 23342, 8922, 204, 9884, 32466, 975, 101, 2455, 9098, 26610, 47987, 6226, 20665, 8403, 261, 13274, 460, 45613, 16122, 408, 15143, 18426, 16122, 3944, 19998, 21307, 460, 8270, 11369, 29360, 17673, 4232, 45201, 3013, 408, 3362, 14794, 18426, 16122, 9862, 1367, 12354, 26148, 19533, 3131, 2336, 8561, 17673, 4562, 408, 8561, 17673, 4562, 45940, 408, 8681, 21492, 9884, 32466, 3283, 2801, 256, 12562, 26148, 2411, 48246, 408, 23056, 1886, 45940, 204, 9884, 32466, 975, 101, 2455, 9098, 26780, 5351, 19578, 7617, 4265, 5351, 19578, 3812, 204, 35411, 8498, 9884, 32466, 975, 101, 2455, 9098, 22143, 33167, 5351, 408, 2780, 13643, 9302, 19422, 38782, 9884, 32466, 975, 101, 2455, 9098, 3812, 4411, 19745, 2114, 27538, 408, 17280, 1603, 9884, 32466, 460, 11962, 7533, 9238, 408, 9754, 15699, 19422, 9884, 32466, 975, 101, 2455, 9098, 22143, 33167, 5351, 9358, 1111, 204, 32466, 1116, 12836, 3369, 5290, 5768, 33565, 9884, 32466, 975, 101, 2455, 9098, 9302, 3131, 2494, 8816, 46590, 3812, 204, 6765, 6049, 11197, 6429, 36847, 9884, 32466, 975, 101, 2455, 9098, 3131, 34918, 17754, 6770, 7059, 12612, 18517, 408, 942, 7360, 3131, 6463, 725, 942, 7360, 3131, 9862, 854, 2014, 24917, 3140, 408, 942, 7360, 3131, 2336, 8681, 21492, 23056, 408, 11204, 1438, 46590, 33628, 6122, 0, 658, 6194, 10932, 334, 3239, 10107, 681, 25966, 39139, 31824, 292, 8800, 34324, 565, 2187, 204, 204, 1449, 949, 275, 542, 302, 681, 18, 11549, 10160, 31824, 292, 1214, 15485, 37410, 17, 872, 618, 732, 273, 3277, 2089, 19, 4682, 872, 529, 8205, 681, 18, 29144, 375, 17, 872, 1519, 311, 9356, 275, 4368, 3528, 17, 928, 353, 3392, 448, 368, 2771, 435, 2771, 571, 2771, 681, 289, 3528, 19, 204, 204, 5399, 677, 1662, 311, 3120, 808, 2089, 31, 204, 204, 22, 19, 4347, 275, 542, 302, 31750, 872, 529, 46200, 19, 204, 23, 19, 3398, 1818, 681, 886, 497, 275, 1113, 542, 302, 31750, 19, 204, 24, 19, 8838, 275, 886, 4430, 329, 3281, 560, 3528, 19, 204, 204, 1380, 9134, 31, 204, 204, 15, 720, 31750, 31, 720, 2771, 681, 2771, 571, 2771, 435, 7410, 3528, 289, 720, 204, 15, 1598, 31750, 31, 1598, 2771, 2958, 2771, 931, 2771, 1233, 7410, 3528, 289, 681, 4957, 204, 15, 2019, 31750, 31, 2019, 2771, 3528, 2771, 5773, 2771, 5436, 7410, 3528, 289, 1598, 17, 31766, 204, 204, 5009, 618, 5620, 275, 4183, 560, 20799, 2772, 685, 275, 2323, 3857, 19, 1765, 1763, 17, 292, 275, 1322, 302, 1598, 31750, 17, 872, 618, 13668, 685, 275, 681, 2771, 571, 2771, 435, 322, 2609, 3528, 14, 440, 275, 5533, 542, 3528, 17, 12637, 872, 440, 1598, 2771, 2958, 2771, 1233, 7410, 435, 289, 681, 4957, 37410, 19, 204, 204, 4931, 273, 6506, 618, 1425, 1895, 275, 4183, 43623, 329, 9509, 19, 28832, 4122, 275, 886, 4430, 329, 3281, 560, 3528, 311, 636, 275, 1113, 542, 302, 681, 18, 11549, 10160, 31824, 19, 0, 5399, 529, 275, 2821, 3490, 2900, 8557, 1483, 31, 204, 204, 22, 19, 930, 5842, 15009, 288, 311, 29937, 1416, 226, 204, 7820, 440, 368, 17, 1207, 17, 1207, 523, 273, 6506, 19, 20310, 808, 311, 1168, 974, 1698, 275, 1168, 896, 329, 275, 2758, 881, 17, 5400, 17, 4122, 17, 3281, 17, 329, 9329, 19, 204, 204, 23, 19, 930, 38, 32815, 605, 5248, 1416, 226, 204, 7820, 440, 6449, 329, 20628, 5400, 1233, 17, 16780, 17090, 448, 872, 1307, 19, 204, 204, 24, 19, 930, 16383, 15765, 19714, 1416, 226, 204, 11345, 275, 886, 292, 275, 2871, 311, 838, 4125, 496, 881, 719, 311, 273, 2415, 542, 17, 974, 848, 542, 1698, 5602, 19, 204, 204, 25, 19, 930, 15297, 23016, 18931, 226, 204, 18355, 273, 4414, 311, 4481, 1025, 273, 542, 4094, 19, 204, 204, 26, 19, 930, 41, 3128, 84, 8587, 1416, 226, 204, 15045, 2400, 5566, 435, 560, 435, 2549, 1936, 720, 329, 2885, 2075, 435, 560, 931, 1120, 444, 19, 204, 204, 27, 19, 930, 38, 9748, 302, 8587, 1416, 226, 204, 17629, 275, 886, 368, 18, 29, 1025, 9725, 754, 496, 3420, 9079, 529, 1706, 19, 204, 204, 28, 19, 930, 30039, 25035, 31, 18447, 18, 19928, 14014, 9748, 1416, 226, 204, 5964, 273, 6246, 18, 19928, 11192, 2415, 329, 4151, 1855, 2902, 19, 204, 204, 29, 19, 930, 37930, 273, 21635, 1416, 226, 204, 31676, 273, 13333, 5082, 292, 2415, 4131, 302, 2637, 11078, 19, 3239, 275, 11078, 497, 275, 1913, 17, 4145, 440, 368, 17, 329, 3822, 928, 11078, 529, 5104, 5084, 275, 1043, 6871, 19, 204, 204, 30, 19, 930, 35937, 5689, 7035, 1416, 226, 204, 6431, 275, 1019, 302, 275, 14372, 6072, 292, 275, 1066, 31, 21626, 3376, 465, 44076, 289, 35368, 19, 204, 204, 1003, 19, 930, 40, 533, 6455, 1416, 226, 204, 14225, 437, 4998, 1066, 1273, 6072, 1173, 3258, 368, 18, 30, 17, 800, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 332, 34, 24, 329, 412, 34, 23, 19, 204, 204, 1641, 19, 930, 40, 15099, 25203, 37128, 1416, 226, 204, 21153, 275, 542, 302, 11078, 302, 848, 1848, 1376, 311, 2270, 273, 571, 93, 24, 93, 24, 6871, 440, 4720, 11078, 3332, 273, 10302, 6871, 17, 1675, 5631, 11078, 3332, 275, 4720, 6871, 17, 329, 754, 523, 19, 204, 204, 1258, 19, 930, 8390, 24513, 7054, 6903, 3300, 392, 623, 521, 392, 19437, 348, 7609, 1416, 226, 204, 11345, 6121, 302, 2481, 700, 311, 16564, 437, 13952, 292, 273, 1470, 19, 204, 204, 2353, 19, 930, 4290, 35058, 1416, 226, 204, 17629, 886, 368, 18, 30, 292, 5537, 754, 496, 275, 2712, 1283, 12174, 5537, 353, 4069, 19, 204, 204, 2300, 19, 930, 24887, 1416, 226, 204, 17629, 886, 368, 18, 1003, 292, 9725, 754, 496, 848, 542, 353, 275, 2712, 1283, 275, 970, 886, 5084, 490, 19, 204, 204, 1909, 19, 930, 40, 391, 333, 14258, 23434, 1416, 226, 204, 17497, 273, 1470, 348, 435, 6453, 496, 11845, 11043, 521, 904, 2821, 2758, 19, 204, 204, 1845, 19, 930, 16710, 342, 9748, 1416, 226, 204, 48645, 886, 1283, 368, 329, 1233, 292, 273, 8302, 342, 9748, 754, 496, 848, 1653, 9321, 311, 275, 1729, 1113, 19, 204, 204, 2314, 19, 930, 11683, 334, 82, 10932, 322, 23, 12541, 226, 204, 21153, 275, 542, 523, 1214, 2786, 329, 10065, 1169, 3758, 19, 204, 204, 2132, 19, 930, 3417, 16775, 275, 30284, 1416, 226, 204, 46926, 10405, 1880, 630, 2153, 2415, 5630, 496, 9908, 681, 1880, 17, 440, 1236, 1392, 6759, 19, 204, 204, 1794, 19, 930, 63, 44362, 501, 2215, 1416, 226, 204, 21153, 275, 542, 302, 28655, 4331, 311, 1895, 6320, 39123, 348, 275, 16020, 302, 275, 8504, 2747, 44362, 19, 204, 204, 1036, 19, 930, 53, 580, 299, 275, 415, 6054, 39456, 1416, 226, 204, 53, 580, 1233, 14013, 302, 7475, 497, 1051, 30682, 311, 3161, 3119, 1422, 529, 6488, 571, 14013, 292, 2327, 302, 275, 12968, 405, 19, 204, 204, 3699, 19, 930, 39199, 7440, 292, 275, 14355, 1416, 226, 204, 11345, 8886, 311, 3822, 275, 542, 302, 848, 1187, 302, 24980, 292, 31162, 19, 204, 204, 2898, 19, 930, 13936, 5403, 2410, 48563, 1416, 226, 204, 15045, 2400, 1662, 886, 529, 8210, 292, 273, 5403, 2410, 11228, 329, 1800, 3015, 329, 2630, 19, 204, 204, 3787, 19, 930, 14865, 2483, 1416, 226, 204, 21153, 275, 5527, 329, 4794, 2237, 542, 302, 11522, 292, 273, 2415, 1273, 886, 571, 329, 931, 529, 7283, 848, 904, 19, 204, 204, 2500, 19, 930, 45986, 14606, 1416, 226, 204, 17497, 273, 1470, 348, 435, 521, 1182, 6453, 496, 11845, 4998, 17, 11043, 17, 6177, 17, 329, 4854, 19, 204, 204, 1511, 19, 930, 8390, 24513, 7054, 6903, 3300, 392, 623, 521, 392, 19437, 1416, 226, 204, 17497, 18917, 10537, 302, 273, 8445, 1470, 19, 204, 204, 4635, 19, 930, 5834, 6370, 13056, 1416, 226, 204, 4421, 521, 5400, 886, 523, 8445, 329, 4921, 275, 722, 523, 273, 2333, 17, 9221, 311, 636, 273, 1007, 302, 2327, 19, 204, 204, 4343, 19, 930, 12124, 329, 7609, 1416, 226, 204, 6431, 5169, 311, 273, 1066, 1273, 1792, 6072, 10762, 348, 1792, 886, 19, 204, 204, 4023, 19, 930, 17629, 9729, 9649, 292, 275, 1581, 368, 435, 571, 681, 720, 887, 1168, 1132, 1233, 289, 10923, 1416, 226, 204, 21153, 1662, 1910, 3942, 808, 618, 444, 3870, 19, 204, 204, 4734, 19, 930, 17629, 6699, 23561, 30902, 32846, 1025, 273, 2871, 1416, 226, 204, 29459, 970, 30902, 32846, 292, 2589, 1837, 329, 1237, 19, 204, 204, 2188, 19, 930, 7366, 2974, 1416, 226, 204, 17497, 273, 2585, 302, 275, 19763, 3398, 2974, 5180, 19, 204, 204, 5639, 19, 930, 40732, 4208, 275, 7035, 1416, 226, 204, 6431, 275, 1066, 302, 275, 3258, 292, 275, 542, 32008, 329, 3822, 1662, 1910, 904, 886, 874, 275, 1729, 1113, 1101, 1236, 7152, 19, 204, 204, 2177, 19, 930, 7154, 10892, 8203, 1416, 226, 204, 5118, 6711, 273, 1576, 1609, 523, 970, 1792, 2727, 886, 2202, 1194, 931, 19, 204, 204, 3268, 19, 930, 17856, 4085, 41476, 1416, 226, 204, 48645, 15066, 25396, 292, 273, 2415, 2092, 2254, 302, 23389, 4207, 754, 496, 1422, 529, 2019, 4558, 848, 5999, 19, 204, 204, 5091, 19, 930, 38, 18, 5535, 787, 3239, 36632, 1416, 226, 204, 7820, 630, 1169, 2092, 292, 273, 11192, 2415, 329, 1307, 1924, 2589, 2092, 17, 6186, 685, 273, 1113, 302, 2153, 19, 204, 204, 4049, 19, 930, 29571, 447, 1416, 226, 204, 6431, 275, 1066, 302, 830, 2327, 18, 4289, 886, 440, 1698, 4069, 3258, 19, 204, 204, 3701, 19, 930, 35534, 490, 9461, 1416, 226, 204, 15045, 2400, 275, 37715, 1547, 6, 1470, 329, 1020, 273, 9822, 6684, 19, 204, 204, 4462, 19, 930, 45, 10615, 17, 41573, 1416, 226, 204, 21153, 275, 542, 302, 3942, 311, 1895, 273, 781, 24531, 31743, 34113, 440, 4236, 13624, 19, 204, 204, 5049, 19, 930, 40, 30264, 10037, 10442, 1162, 1416, 226, 204, 40026, 1662, 273, 2786, 17764, 5994, 19, 204, 204, 6221, 19, 930, 21643, 34973, 1416, 226, 204, 6431, 5544, 886, 496, 881, 719, 292, 4125, 311, 800, 8598, 19, 204, 204, 2169, 19, 930, 2920, 13448, 18931, 226, 204, 21153, 275, 2523, 302, 848, 6914, 974, 800, 1483, 19, 204, 204, 7879, 19, 930, 7226, 953, 560, 8587, 1416, 226, 204, 18106, 886, 348, 6072, 292, 8598, 19, 204, 204, 5820, 19, 930, 5824, 11378, 1416, 226, 204, 6431, 1792, 3942, 311, 2279, 10405, 974, 720, 303, 17432, 19, 204, 204, 7698, 19, 930, 61, 4208, 720, 19714, 1416, 226, 204, 48645, 720, 1792, 3258, 292, 273, 4393, 754, 496, 490, 16757, 4153, 4042, 19, 204, 204, 4832, 19, 930, 5834, 6370, 13056, 348, 7609, 1416, 226, 204, 17497, 273, 1470, 348, 437, 6986, 329, 1656, 974, 8445, 886, 329, 4998, 521, 11043, 19, 204, 204, 2985, 19, 930, 41, 369, 1389, 22975, 1416, 226, 204, 6431, 4520, 886, 523, 273, 303, 369, 1389, 20777, 1273, 848, 4678, 353, 27368, 754, 496, 886, 3332, 848, 34945, 3469, 881, 719, 311, 9806, 19, 204, 204, 7378, 19, 930, 6425, 516, 1416, 226, 204, 17497, 437, 5209, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1470, 348, 970, 6453, 19, 204, 204, 7326, 19, 930, 12124, 47535, 22308, 375, 1416, 226, 204, 21153, 275, 2666, 496, 618, 444, 9140, 974, 970, 15926, 48460, 496, 3074, 681, 329, 1168, 4112, 311, 1392, 19, 204, 204, 4553, 19, 930, 673, 415, 4890, 8149, 558, 302, 552, 341, 5720, 1416, 226, 204, 28961, 19116, 275, 1792, 886, 302, 1880, 329, 27960, 1609, 523, 275, 1113, 542, 302, 13624, 19, 204, 204, 7298, 19, 930, 10461, 13056, 1416, 226, 204, 7937, 275, 1043, 311, 4151, 273, 1237, 302, 2327, 292, 273, 1470, 19, 0, 14225, 275, 8047, 322, 93, 465, 571, 4061, 29, 962, 322, 93, 338, 571, 4061, 26, 19, 204, 204, 1449, 2616, 808, 8047, 17, 572, 618, 1012, 560, 9137, 1855, 2902, 560, 2846, 17, 928, 353, 275, 3406, 2323, 3536, 302, 1132, 329, 720, 17, 311, 13776, 275, 6249, 19, 204, 204, 13, 93, 465, 571, 4061, 29, 962, 322, 93, 338, 571, 4061, 26, 204, 204, 22167, 1855, 2902, 560, 2846, 31, 204, 26, 13, 93, 465, 571, 14, 962, 1132, 13, 93, 338, 571, 14, 204, 204, 17055, 1855, 2902, 31, 204, 26, 93, 465, 2153, 962, 1132, 93, 338, 3528, 204, 204, 20946, 720, 93, 497, 1855, 2902, 31, 204, 1909, 962, 571, 93, 338, 3528, 204, 204, 20542, 3528, 311, 1855, 2902, 31, 204, 6221, 962, 571, 93, 204, 204, 20367, 1855, 2902, 560, 571, 31, 204, 2353, 962, 610, 204, 204, 2551, 17, 275, 1988, 311, 275, 8047, 353, 610, 1323, 2989, 19, 204, 204, 673, 1988, 758, 353, 463, 93, 1164, 610, 11966, 361, 329, 610, 1323, 2989, 3572, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 1498, 532, 783, 204, 204, 461, 1137, 68, 14673, 68, 481, 13, 3396, 68, 546, 31, 394, 17, 424, 68, 546, 31, 394, 17, 3906, 68, 2199, 31, 783, 64, 325, 694, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 7513, 424, 497, 275, 1713, 2002, 329, 424, 3630, 19, 204, 204, 264, 457, 31, 204, 268, 2002, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2002, 1445, 19, 204, 268, 424, 68, 546, 322, 325, 330, 334, 832, 311, 275, 424, 1445, 19, 204, 268, 3906, 68, 2199, 322, 1218, 64, 325, 1037, 332, 458, 302, 3906, 1987, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 7513, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 6505, 497, 275, 1713, 2002, 329, 424, 3630, 204, 264, 7513, 68, 481, 289, 906, 505, 68, 481, 68, 4588, 13, 3396, 68, 546, 17, 424, 68, 546, 17, 3906, 68, 2199, 14, 204, 615, 264, 314, 2208, 690, 311, 3331, 204, 264, 7513, 68, 481, 736, 834, 839, 289, 7513, 68, 481, 736, 834, 839, 802, 368, 74, 30, 204, 615, 264, 407, 7513, 68, 481, 204, 204, 461, 1137, 68, 14673, 68, 4591, 13, 3396, 68, 546, 31, 394, 17, 2002, 68, 417, 31, 394, 17, 4781, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 7513, 3688, 497, 275, 1713, 2002, 329, 4781, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 2002, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2002, 1445, 19, 204, 268, 2002, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2002, 19, 204, 268, 4781, 68, 932, 322, 325, 330, 334, 1187, 302, 4781, 322, 74, 19, 76, 2458, 379, 2721, 3930, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 7513, 3688, 19, 204, 264, 320, 204, 264, 314, 1385, 4781, 1187, 424, 497, 275, 1713, 2002, 329, 4781, 1187, 204, 264, 7513, 68, 4591, 289, 906, 505, 68, 8264, 68, 932, 68, 481, 13, 3396, 68, 546, 17, 2002, 68, 417, 17, 4781, 68, 932, 14, 204, 615, 264, 407, 7513, 68, 4591, 204, 204, 461, 7009, 68, 14673, 68, 481, 13, 14673, 68, 481, 31, 1246, 19, 1362, 17, 7513, 68, 4591, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12589, 275, 7513, 424, 329, 3688, 19, 204, 204, 264, 457, 31, 204, 268, 7513, 68, 481, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 424, 19, 204, 268, 7513, 68, 4591, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 3688, 19, 204, 264, 320, 204, 264, 314, 888, 7513, 1586, 3731, 204, 264, 2736, 68, 1087, 68, 4336, 68, 14472, 289, 906, 505, 68, 2721, 68, 1087, 68, 12024, 13, 14673, 68, 481, 14, 204, 615, 264, 314, 6119, 4249, 618, 444, 8942, 3237, 204, 264, 456, 499, 36941, 6408, 24962, 2212, 204, 264, 456, 13, 2721, 68, 1087, 68, 4336, 68, 14472, 14, 204, 204, 461, 1807, 68, 14673, 68, 481, 13, 14673, 68, 481, 31, 1246, 19, 1362, 17, 3906, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 7513, 424, 348, 275, 1713, 3906, 19, 204, 204, 264, 457, 31, 204, 268, 7513, 68, 481, 322, 2600, 19, 1362, 330, 332, 3135, 1174, 275, 7513, 424, 19, 204, 268, 3906, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3906, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 440, 273, 1713, 1302, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 29, 17, 720, 19, 26, 602, 204, 615, 264, 314, 3045, 275, 7513, 424, 348, 275, 1713, 3906, 204, 264, 1513, 19, 1657, 13, 14673, 68, 481, 736, 834, 2043, 7513, 68, 481, 64, 4782, 68, 417, 694, 204, 615, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 2002, 329, 424, 3630, 204, 264, 2002, 68, 546, 289, 43404, 5709, 56, 27742, 20, 20798, 91, 934, 9248, 204, 264, 424, 68, 546, 289, 379, 3383, 989, 20, 45542, 989, 20, 29624, 989, 9248, 204, 615, 264, 314, 968, 3906, 1987, 204, 264, 3906, 68, 2199, 289, 2470, 2721, 22, 53, 491, 379, 2721, 23, 53, 491, 379, 2721, 24, 53, 839, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 615, 264, 314, 968, 2002, 588, 329, 4781, 1187, 204, 264, 2002, 68, 417, 289, 379, 20798, 91, 934, 12, 204, 264, 4781, 68, 932, 289, 379, 2721, 12, 204, 204, 264, 314, 1385, 7513, 424, 329, 3688, 204, 264, 7513, 68, 481, 289, 1137, 68, 14673, 68, 481, 13, 3396, 68, 546, 17, 424, 68, 546, 17, 3906, 68, 2199, 14, 204, 264, 7513, 68, 4591, 289, 1137, 68, 14673, 68, 4591, 13, 3396, 68, 546, 17, 2002, 68, 417, 17, 4781, 68, 932, 14, 204, 204, 264, 314, 12589, 7513, 424, 329, 3688, 204, 264, 7009, 68, 14673, 68, 481, 13, 14673, 68, 481, 17, 7513, 68, 4591, 14, 204, 204, 264, 314, 3045, 7513, 424, 348, 848, 3906, 204, 264, 348, 3906, 68, 417, 292, 3906, 68, 2199, 31, 204, 268, 1807, 68, 14673, 68, 481, 13, 14673, 68, 481, 17, 3906, 68, 417, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 204, 8, 7614, 38532, 348, 8348, 3263, 204, 461, 906, 505, 68, 481, 68, 4588, 13, 3396, 68, 546, 31, 394, 17, 424, 68, 546, 31, 394, 17, 3906, 68, 2199, 31, 783, 64, 325, 694, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 989, 1571, 3367, 204, 264, 532, 2010, 448, 645, 204, 264, 690, 289, 645, 19, 8268, 13, 21, 17, 1607, 17, 368, 14, 204, 264, 2736, 22, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 2736, 23, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 2736, 24, 53, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 407, 1246, 19, 1362, 6758, 834, 597, 690, 17, 379, 2721, 22, 53, 597, 2736, 22, 53, 17, 379, 2721, 23, 53, 597, 2736, 23, 53, 17, 379, 2721, 24, 53, 597, 2736, 24, 53, 1937, 204, 204, 461, 906, 505, 68, 8264, 68, 932, 68, 481, 13, 3396, 68, 546, 31, 394, 17, 2002, 68, 417, 31, 394, 17, 4781, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 17300, 2191, 989, 204, 264, 407, 1246, 19, 1362, 6758, 8264, 68, 932, 597, 551, 8264, 68, 932, 23647, 204, 204, 461, 906, 505, 68, 2721, 68, 1087, 68, 12024, 13, 14673, 68, 481, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 314, 7614, 5581, 348, 636, 13529, 2108, 48125, 204, 264, 407, 1246, 19, 1362, 6758, 2721, 68, 1087, 68, 12024, 597, 551, 22, 17, 435, 17, 571, 23647, 204, 0, 647, 5683, 204, 531, 1559, 39602, 19, 4969, 532, 25712, 1655, 17, 1359, 17, 10617, 17, 25785, 204, 531, 1559, 39602, 19, 4165, 532, 9182, 204, 531, 1276, 34214, 19, 1234, 19, 3978, 19, 31286, 532, 322, 826, 68, 1386, 68, 8340, 17, 4028, 68, 898, 68, 1309, 17, 204, 264, 12745, 17212, 14, 204, 204, 461, 838, 68, 809, 374, 393, 25712, 1655, 31, 204, 264, 320, 204, 264, 666, 273, 2802, 39602, 570, 440, 273, 758, 17, 6808, 17, 329, 2558, 19, 204, 615, 264, 475, 31, 204, 268, 25712, 1655, 31, 332, 2802, 39602, 570, 19, 204, 264, 320, 204, 264, 570, 289, 25712, 1655, 374, 204, 264, 570, 19, 88, 289, 1359, 13, 9462, 3603, 22, 17, 435, 17, 571, 694, 204, 264, 570, 19, 71, 22, 289, 10617, 374, 204, 264, 570, 19, 71, 23, 289, 10617, 374, 204, 615, 264, 314, 977, 2558, 204, 264, 570, 19, 71, 22, 19, 93, 289, 25785, 13, 9462, 34, 24, 14, 204, 264, 570, 19, 71, 22, 19, 94, 289, 25785, 1568, 21, 17, 22, 648, 5345, 2508, 21, 31, 25, 17, 22, 31, 26, 1937, 204, 264, 570, 19, 71, 22, 19, 95, 289, 25785, 1568, 21, 17, 22, 648, 3134, 38, 528, 388, 39, 2869, 5345, 2508, 204, 268, 322, 21, 17, 388, 38, 6471, 27, 17, 322, 21, 17, 388, 39, 6471, 28, 17, 322, 22, 5167, 38, 6471, 29, 17, 322, 22, 5167, 39, 6471, 30, 1937, 204, 264, 570, 19, 71, 23, 19, 93, 289, 25785, 13, 9462, 34, 22, 14, 204, 264, 570, 19, 71, 23, 19, 94, 289, 25785, 1568, 21, 17, 22, 648, 5345, 34, 22, 14, 204, 264, 570, 19, 71, 23, 19, 95, 289, 25785, 1568, 21, 17, 22, 648, 3134, 38, 528, 388, 39, 2869, 5345, 34, 22, 14, 204, 615, 264, 314, 666, 14542, 204, 264, 570, 19, 71, 22, 19, 898, 289, 9182, 374, 204, 264, 570, 19, 71, 23, 19, 898, 289, 9182, 374, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 93, 17, 388, 93, 431, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 94, 17, 388, 94, 431, 204, 264, 570, 19, 71, 22, 19, 898, 19, 826, 13, 809, 19, 71, 22, 19, 95, 17, 388, 95, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 93, 17, 388, 93, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 94, 17, 388, 94, 431, 204, 264, 570, 19, 71, 23, 19, 898, 19, 826, 13, 809, 19, 71, 23, 19, 95, 17, 388, 95, 431, 204, 615, 264, 407, 570, 204, 204, 461, 683, 68, 826, 68, 1386, 68, 8340, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5209, 437, 726, 4398, 311, 273, 570, 19, 204, 264, 320, 204, 264, 570, 289, 838, 68, 809, 374, 204, 264, 314, 1255, 726, 4398, 204, 264, 881, 68, 1386, 68, 8340, 13, 809, 17, 388, 804, 68, 3484, 528, 570, 19, 88, 14, 204, 264, 2136, 11089, 13, 809, 17, 388, 804, 68, 3484, 431, 204, 264, 2136, 570, 19, 804, 68, 3484, 564, 570, 19, 88, 204, 204, 461, 683, 68, 826, 68, 1386, 68, 8340, 68, 7639, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5209, 437, 726, 4398, 311, 273, 570, 17, 46223, 8228, 19, 204, 264, 320, 204, 264, 570, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1650, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 15660, 31, 334, 4000, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4000, 1014, 348, 275, 3017, 1650, 204, 264, 4000, 289, 15660, 13, 748, 14, 204, 264, 407, 4000, 204, 204, 461, 838, 68, 25069, 13, 748, 31, 726, 17, 1863, 31, 726, 14, 393, 26642, 31, 204, 264, 320, 204, 264, 666, 273, 23314, 1014, 348, 1104, 6447, 19, 204, 204, 264, 457, 31, 204, 268, 740, 322, 1386, 330, 334, 3017, 1650, 1014, 19, 204, 268, 1863, 322, 1386, 330, 334, 1104, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 26642, 31, 334, 23314, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 23314, 1014, 348, 1104, 6447, 204, 264, 23314, 289, 26642, 13, 748, 17, 1863, 14, 204, 264, 407, 23314, 204, 204, 461, 881, 68, 6792, 13, 2754, 31, 15660, 17, 23314, 31, 26642, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1255, 5453, 311, 275, 4000, 19, 204, 204, 264, 457, 31, 204, 268, 4000, 322, 3313, 330, 334, 4000, 1014, 19, 204, 268, 23314, 322, 50, 352, 1949, 330, 334, 23314, 1014, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1255, 275, 23314, 1354, 311, 275, 4000, 204, 264, 4000, 19, 826, 68, 2196, 499, 1479, 528, 26642, 7352, 14, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 1523, 2923, 374, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 3017, 4383, 1981, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 2466, 275, 3017, 4383, 1981, 204, 268, 4433, 68, 748, 19, 1777, 13, 2463, 1022, 10779, 19, 21, 19, 21, 19, 22, 528, 2054, 34, 14789, 17, 5344, 34, 1021, 14, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 3219, 374, 393, 443, 31, 204, 268, 320, 204, 268, 666, 830, 1104, 5630, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 666, 830, 1104, 5630, 204, 268, 440, 4433, 68, 748, 19, 748, 68, 3348, 1293, 204, 305, 1863, 19, 1510, 68, 668, 374, 204, 204, 264, 1642, 2754, 19, 2196, 204, 264, 436, 838, 68, 4159, 68, 816, 374, 393, 443, 31, 204, 268, 320, 204, 268, 666, 437, 3051, 575, 440, 10390, 4997, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 4390, 1945, 6500, 204, 268, 497, 22349, 532, 22349, 204, 268, 497, 27289, 19, 12538, 532, 1900, 68, 1989, 68, 4074, 204, 204, 268, 314, 666, 437, 3051, 575, 440, 10390, 4997, 204, 268, 440, 4433, 68, 748, 19, 748, 68, 3348, 1293, 204, 305, 1692, 289, 537, 499, 2101, 3051, 1692, 31, 2810, 204, 305, 2143, 289, 537, 499, 2101, 3051, 2143, 31, 2810, 204, 305, 1482, 289, 22349, 499, 2101, 3051, 1482, 31, 2810, 204, 305, 8184, 68, 1989, 289, 22349, 499, 30008, 3051, 1482, 31, 2810, 204, 204, 305, 397, 1482, 2167, 8184, 68, 1989, 31, 204, 485, 456, 499, 41506, 770, 508, 2216, 19, 5443, 372, 299, 1280, 204, 485, 407, 204, 204, 305, 575, 289, 2221, 13, 204, 485, 1692, 34, 2302, 17, 204, 485, 2143, 34, 2574, 17, 204, 485, 1482, 34, 4776, 68, 1989, 68, 4074, 13, 1989, 659, 204, 485, 16671, 34, 3170, 17, 204, 305, 1179, 204, 305, 1863, 19, 2488, 19, 826, 13, 816, 14, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 456, 499, 6536, 575, 1966, 4073, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 4000, 1014, 204, 264, 4000, 289, 838, 68, 2754, 13, 9879, 68, 748, 14, 204, 204, 264, 314, 666, 273, 23314, 1014, 204, 264, 23314, 289, 838, 68, 25069, 13, 9879, 68, 748, 17, 1863, 14, 204, 204, 264, 314, 1255, 5453, 311, 275, 4000, 204, 264, 881, 68, 6792, 13, 2754, 17, 23314, 14, 204, 204, 264, 314, 2466, 275, 4000, 204, 264, 4000, 19, 1777, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 4504, 273, 3277, 3017, 1650, 440, 273, 3612, 6955, 19, 204, 3837, 9713, 575, 6718, 329, 2924, 7800, 19, 204, 315, 204, 204, 8, 4390, 275, 3017, 850, 497, 275, 4433, 2413, 19, 204, 531, 4433, 532, 3017, 17, 5908, 17, 824, 204, 204, 8, 666, 273, 717, 1014, 302, 275, 3017, 1650, 19, 204, 748, 31, 3017, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 955, 311, 1640, 575, 424, 292, 4843, 348, 12116, 19, 204, 8, 592, 273, 2318, 18, 6715, 1650, 17, 808, 424, 1784, 444, 6929, 292, 273, 1104, 19, 204, 4162, 68, 481, 31, 1135, 289, 463, 204, 264, 388, 816, 22, 559, 2832, 1989, 559, 388, 1989, 22, 528, 388, 2302, 559, 388, 816, 22, 37, 2569, 19, 1453, 7832, 204, 264, 388, 816, 23, 559, 2832, 1989, 559, 388, 1989, 23, 528, 388, 2302, 559, 388, 816, 23, 37, 2569, 19, 1453, 7832, 204, 98, 204, 204, 461, 4080, 68, 816, 13, 2574, 31, 394, 17, 1482, 31, 394, 17, 1692, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 19795, 273, 717, 575, 440, 275, 800, 2143, 17, 1482, 17, 329, 1692, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2143, 322, 325, 330, 334, 2143, 7540, 560, 275, 575, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 7540, 560, 275, 575, 19, 204, 264, 338, 1692, 322, 325, 330, 334, 1692, 1995, 302, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 959, 397, 275, 575, 867, 9882, 4073, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 2861, 2560, 19, 204, 264, 397, 2143, 292, 3612, 68, 481, 31, 204, 268, 407, 1078, 204, 615, 264, 314, 1255, 275, 717, 575, 311, 275, 3612, 424, 955, 19, 204, 264, 3612, 68, 481, 64, 2574, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 66, 289, 2832, 1989, 559, 1482, 17, 388, 2302, 559, 1692, 98, 204, 264, 407, 959, 204, 204, 461, 2924, 68, 816, 13, 2574, 31, 394, 17, 1482, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 15616, 292, 273, 575, 440, 275, 800, 2143, 329, 1482, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 302, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 959, 397, 275, 575, 867, 11314, 292, 4073, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 2560, 329, 275, 1482, 353, 1706, 19, 204, 264, 397, 2143, 292, 3612, 68, 481, 329, 3612, 68, 481, 64, 2574, 10017, 1989, 1339, 564, 1482, 31, 204, 268, 407, 959, 204, 264, 407, 1078, 204, 204, 8, 968, 273, 5143, 348, 575, 6718, 19, 204, 37, 748, 19, 3955, 6343, 4216, 528, 2986, 8090, 4252, 3808, 204, 461, 2906, 68, 4216, 1293, 204, 264, 320, 204, 264, 5133, 575, 6718, 2164, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2084, 958, 5850, 3855, 275, 6718, 867, 2707, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2143, 17, 1482, 17, 329, 1692, 497, 275, 824, 2484, 19, 204, 264, 424, 289, 824, 19, 1775, 204, 264, 2143, 289, 424, 19, 505, 499, 2574, 431, 204, 264, 1482, 289, 424, 19, 505, 499, 1989, 431, 204, 264, 1692, 289, 424, 19, 505, 499, 2302, 431, 204, 204, 264, 314, 6676, 275, 575, 329, 407, 275, 722, 19, 204, 264, 397, 4080, 68, 816, 13, 2574, 17, 1482, 17, 1692, 330, 204, 268, 407, 5908, 7075, 1454, 559, 388, 2491, 9882, 4073, 20327, 17415, 204, 264, 902, 31, 204, 268, 407, 5908, 7075, 1454, 559, 388, 16251, 2861, 2560, 20327, 5953, 204, 204, 8, 968, 273, 5143, 348, 575, 2924, 19, 204, 37, 748, 19, 3955, 6343, 3424, 528, 2986, 8090, 4252, 3808, 204, 461, 2906, 68, 3424, 1293, 204, 264, 320, 204, 264, 5133, 575, 2924, 2164, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2084, 958, 5850, 3855, 275, 2924, 867, 2707, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2143, 329, 1482, 497, 275, 824, 2484, 19, 204, 264, 424, 289, 824, 19, 1775, 204, 264, 2143, 289, 424, 19, 505, 499, 2574, 431, 204, 264, 1482, 289, 424, 19, 505, 499, 1989, 431, 204, 204, 264, 314, 8196, 275, 575, 329, 407, 275, 722, 19, 204, 264, 397, 2924, 68, 816, 13, 2574, 17, 1482, 330, 204, 268, 407, 5908, 7075, 1454, 559, 388, 2491, 11314, 292, 4073, 20327, 2031, 204, 264, 902, 31, 204, 268, 407, 5908, 7075, 1454, 559, 388, 1962, 2143, 521, 1482, 20327, 21913, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 314, 2466, 275, 3017, 1650, 292, 5344, 2291, 19, 204, 268, 314, 1058, 353, 7562, 348, 4383, 1101, 1856, 444, 758, 311, 1078, 292, 5627, 19, 204, 268, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1650, 21942, 19, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 763, 273, 818, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 575, 677, 537, 448, 273, 818, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1814, 575, 537, 311, 273, 818, 204, 305, 407, 818, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 1426, 2872, 537, 329, 3176, 575, 311, 810, 2528, 204, 305, 456, 499, 5977, 30674, 7303, 43009, 19, 28107, 6972, 17, 7638, 277, 794, 15692, 1280, 204, 204, 461, 949, 68, 5670, 13, 1630, 31, 458, 64, 996, 694, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 2480, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 996, 1037, 334, 458, 302, 886, 311, 2480, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 2480, 302, 275, 886, 19, 204, 264, 320, 204, 264, 314, 778, 348, 1392, 458, 311, 4516, 4854, 560, 2962, 908, 204, 264, 397, 508, 886, 31, 204, 268, 980, 987, 499, 18595, 30807, 355, 36409, 2432, 8433, 12307, 33927, 431, 204, 264, 407, 1066, 13, 1630, 14, 802, 1245, 13, 1630, 14, 204, 204, 461, 636, 68, 1630, 68, 531, 68, 816, 13, 920, 68, 765, 31, 421, 14, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 765, 322, 339, 330, 334, 542, 302, 1019, 311, 636, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 332, 458, 302, 886, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 886, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 22, 17, 771, 68, 765, 465, 368, 330, 204, 268, 314, 763, 575, 537, 348, 848, 542, 204, 268, 771, 289, 636, 68, 816, 68, 768, 13, 75, 7, 38631, 731, 22026, 463, 78, 2829, 2810, 204, 268, 886, 19, 1223, 13, 920, 14, 204, 264, 407, 886, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 542, 302, 1019, 311, 636, 497, 275, 575, 204, 264, 771, 68, 765, 289, 571, 204, 204, 264, 314, 763, 575, 537, 204, 264, 886, 289, 636, 68, 1630, 68, 531, 68, 816, 13, 920, 68, 765, 14, 204, 204, 264, 314, 888, 329, 456, 275, 2480, 204, 264, 810, 31, 204, 268, 2480, 289, 949, 68, 5670, 13, 1630, 14, 204, 268, 456, 13, 75, 7, 20133, 426, 3569, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84, 355, 30917, 463, 920, 68, 765, 98, 36409, 3077, 31, 463, 5670, 4567, 23, 75, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 74, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 10588, 521, 3416, 273, 700, 496, 10335, 3855, 275, 10406, 1014, 353, 31317, 292, 16062, 3511, 19, 204, 5039, 10532, 31, 45276, 45350, 322, 266, 45276, 45350, 19, 31220, 14, 204, 22189, 7596, 348, 1504, 8859, 31, 4778, 1963, 24424, 19, 4432, 16480, 19, 1453, 20, 92, 3643, 93, 20, 20497, 20, 93, 6328, 20, 12197, 17, 4778, 1963, 24424, 19, 4432, 16480, 19, 1453, 20, 3052, 24168, 20, 19070, 20, 93, 6328, 20, 12197, 204, 5681, 273, 1472, 353, 1043, 22181, 756, 311, 17, 273, 717, 1014, 302, 275, 10406, 850, 353, 1966, 19, 4168, 273, 1472, 353, 22181, 756, 5501, 497, 322, 30619, 1818, 521, 4533, 659, 437, 2901, 348, 275, 1472, 353, 4327, 311, 16062, 3511, 19, 4596, 1540, 17, 275, 2901, 1583, 508, 4398, 275, 1472, 726, 19, 13472, 17, 275, 2901, 3192, 273, 5833, 9000, 3966, 4634, 322, 12450, 14, 348, 275, 1472, 19, 4168, 275, 2901, 348, 275, 1472, 353, 22181, 756, 311, 974, 16062, 3511, 17, 275, 5833, 9000, 3966, 4634, 322, 12450, 14, 353, 1376, 311, 838, 273, 717, 1014, 302, 275, 1472, 19, 1058, 6137, 353, 275, 1540, 17, 311, 4516, 20929, 4843, 732, 31, 15753, 299, 1472, 5644, 618, 9295, 11111, 4843, 17, 8578, 3153, 440, 273, 1950, 39524, 1690, 302, 1666, 19, 1058, 1844, 353, 19550, 560, 275, 3718, 496, 1422, 353, 1236, 2689, 311, 275, 542, 302, 7876, 496, 618, 444, 6929, 292, 275, 1818, 329, 4533, 24183, 302, 16062, 3511, 19, 592, 10420, 17, 14460, 5833, 9000, 3966, 20206, 322, 12450, 88, 14, 348, 6214, 869, 24426, 1236, 5800, 523, 4843, 9757, 19, 204, 673, 667, 1653, 2620, 302, 4141, 717, 5644, 302, 273, 1472, 353, 496, 1472, 1259, 353, 508, 32395, 497, 1051, 1014, 302, 273, 1472, 311, 3161, 19, 592, 1605, 2910, 17, 14165, 45276, 15847, 322, 60, 38416, 14, 11138, 4569, 9021, 348, 44316, 1259, 19, 204, 1449, 3550, 273, 1472, 13890, 17, 872, 758, 275, 4355, 311, 3597, 322, 1947, 1540, 353, 7463, 789, 204, 35854, 496, 529, 47293, 329, 22181, 756, 311, 974, 1698, 1576, 322, 1538, 1763, 17, 14101, 11454, 659, 529, 15551, 12527, 13890, 19, 204, 5009, 1856, 4516, 5465, 311, 3597, 14275, 872, 1519, 311, 31, 204, 5681, 273, 1472, 869, 273, 6273, 302, 1666, 17, 490, 1741, 3074, 273, 2482, 690, 311, 48013, 19, 828, 275, 1472, 353, 508, 12527, 13890, 17, 329, 275, 1472, 353, 12283, 22181, 756, 311, 17, 275, 2264, 302, 20185, 12943, 34093, 275, 1472, 1741, 874, 273, 2917, 5800, 523, 275, 575, 4699, 19, 3355, 17, 497, 273, 5956, 13024, 17, 872, 1856, 18341, 523, 275, 1540, 2557, 329, 3680, 1214, 1650, 677, 5956, 32, 397, 2907, 27931, 6214, 440, 1137, 2666, 496, 5573, 5084, 275, 933, 1945, 348, 1214, 1650, 17, 30830, 275, 6214, 311, 444, 12527, 13890, 1741, 444, 1051, 2501, 311, 2616, 275, 1844, 19, 204, 5977, 2882, 348, 6214, 496, 529, 12527, 13890, 529, 508, 31317, 292, 16062, 3511, 302, 437, 1504, 8859, 5214, 1650, 322, 61, 39, 9213, 14, 397, 273, 575, 22181, 675, 5501, 497, 329, 1818, 311, 275, 1504, 8859, 5214, 1650, 322, 61, 39, 9213, 789, 11917, 10315, 7876, 348, 6214, 496, 529, 508, 12527, 13890, 529, 31317, 292, 16062, 3511, 19, 204, 673, 2631, 1763, 5913, 1662, 311, 732, 1504, 8859, 311, 15753, 437, 1014, 302, 275, 10406, 850, 5229, 3536, 22181, 657, 19, 0, 647, 304, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 783, 17, 1884, 204, 647, 2725, 14208, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 1437, 204, 531, 4277, 19, 772, 532, 26995, 9500, 204, 531, 2284, 19, 38437, 532, 45599, 204, 531, 2284, 19, 10132, 19, 5878, 532, 322, 204, 264, 949, 68, 5893, 17, 204, 264, 949, 68, 22565, 68, 11841, 17, 204, 14, 204, 531, 2284, 19, 4120, 19, 6069, 532, 12589, 20898, 319, 2108, 17, 46502, 2108, 204, 531, 2284, 19, 1234, 19, 3247, 532, 636, 68, 3342, 204, 531, 2284, 19, 1234, 19, 29740, 532, 18232, 8713, 204, 531, 2284, 19, 481, 532, 10275, 204, 531, 2284, 19, 481, 19, 73, 34122, 532, 46502, 5030, 17, 1895, 68, 15281, 204, 531, 2284, 19, 481, 19, 44638, 657, 532, 322, 204, 264, 27651, 68, 11697, 68, 481, 17, 204, 264, 27651, 68, 23855, 68, 481, 17, 204, 14, 204, 531, 2284, 19, 481, 19, 11901, 532, 1051, 68, 5617, 68, 4170, 68, 8765, 204, 531, 2284, 19, 1618, 19, 20605, 532, 28331, 204, 531, 2284, 19, 5135, 19, 5135, 68, 5891, 532, 7502, 17040, 8116, 204, 531, 1498, 532, 9935, 204, 204, 461, 1020, 68, 3995, 68, 1309, 13, 204, 264, 2648, 68, 417, 31, 394, 17, 204, 264, 2648, 68, 2199, 68, 7518, 31, 783, 64, 1218, 64, 325, 4395, 204, 264, 2648, 68, 1309, 31, 783, 64, 9742, 8713, 648, 204, 14, 393, 1884, 64, 339, 17, 18232, 8713, 744, 204, 264, 320, 204, 264, 13792, 348, 275, 2648, 292, 275, 458, 302, 6835, 329, 2584, 1163, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 2648, 68, 417, 322, 325, 330, 13792, 18, 398, 896, 204, 268, 2648, 68, 2199, 68, 7518, 322, 1218, 64, 1218, 64, 325, 3795, 783, 302, 3330, 440, 2648, 1987, 348, 848, 1485, 204, 268, 2648, 68, 1309, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 424, 6946, 17, 848, 2457, 273, 1485, 204, 204, 264, 1632, 31, 204, 268, 7323, 31, 828, 2648, 1583, 508, 1337, 292, 1169, 1485, 204, 204, 264, 475, 31, 204, 268, 1884, 1174, 322, 22, 14, 1112, 302, 1485, 1174, 2648, 329, 322, 23, 14, 1019, 3310, 311, 275, 2648, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1485, 311, 1020, 275, 2648, 204, 264, 348, 1485, 68, 998, 17, 2648, 68, 2199, 292, 3209, 13, 3995, 68, 2199, 68, 7518, 330, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1020, 275, 2648, 292, 275, 790, 1485, 204, 305, 2648, 68, 998, 289, 2648, 68, 2199, 19, 998, 13, 3995, 68, 417, 14, 204, 268, 827, 987, 31, 204, 305, 314, 828, 2648, 353, 508, 1193, 17, 3524, 311, 275, 1682, 1485, 204, 305, 3524, 204, 268, 902, 31, 204, 305, 314, 828, 2648, 353, 1193, 17, 407, 1163, 1112, 329, 1019, 204, 305, 407, 1485, 68, 998, 17, 645, 19, 15150, 13, 3995, 68, 1309, 64, 2182, 68, 998, 648, 2648, 68, 998, 17, 3138, 34, 22, 14, 204, 264, 314, 828, 2648, 353, 508, 1193, 292, 1169, 1485, 17, 980, 437, 908, 204, 264, 980, 7323, 13, 75, 7, 11896, 3318, 3995, 68, 417, 2867, 508, 292, 1169, 1485, 1280, 204, 204, 204, 461, 3893, 68, 2607, 68, 1087, 13, 2607, 68, 1087, 31, 12589, 20898, 319, 2108, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3866, 275, 1781, 1586, 19, 204, 204, 264, 457, 31, 204, 268, 1781, 68, 1087, 322, 49012, 20898, 319, 2108, 330, 7543, 1586, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 304, 9278, 850, 353, 508, 1713, 11050, 204, 264, 320, 204, 264, 314, 778, 397, 304, 9278, 850, 353, 1713, 204, 264, 397, 12895, 2170, 33069, 508, 292, 1781, 68, 1087, 19, 272, 9278, 31, 204, 268, 980, 987, 499, 40324, 3078, 850, 508, 1713, 11050, 1280, 204, 204, 204, 461, 1137, 68, 481, 13, 1087, 31, 46502, 2108, 14, 393, 1884, 64, 1218, 64, 9742, 8713, 648, 783, 64, 9742, 8713, 648, 783, 64, 325, 648, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 1385, 424, 497, 1860, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 204, 264, 475, 31, 204, 268, 1884, 1174, 322, 22, 14, 10820, 424, 17, 322, 23, 14, 7346, 424, 17, 322, 24, 14, 10820, 1987, 17, 329, 322, 25, 14, 7346, 1987, 204, 264, 320, 204, 264, 314, 968, 424, 3630, 204, 264, 4793, 68, 481, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 1292, 68, 481, 68, 546, 14, 204, 264, 978, 449, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 1931, 449, 68, 481, 68, 546, 14, 204, 615, 264, 314, 1385, 1672, 1987, 204, 264, 1672, 68, 2199, 289, 10275, 19, 976, 68, 2199, 13, 1292, 68, 481, 68, 546, 802, 283, 1954, 1087, 19, 481, 19, 2393, 68, 2199, 3572, 3039, 431, 204, 615, 264, 314, 1385, 8049, 424, 204, 264, 6549, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 655, 17, 378, 68, 2199, 289, 10275, 19, 986, 68, 22067, 68, 481, 13, 204, 268, 978, 449, 68, 546, 17, 204, 268, 954, 19, 481, 19, 11697, 68, 2199, 17, 204, 268, 954, 19, 481, 19, 23855, 68, 2199, 17, 204, 264, 1179, 204, 615, 264, 407, 6549, 68, 655, 17, 378, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 2199, 204, 204, 204, 461, 951, 68, 809, 13, 204, 264, 954, 31, 46502, 2108, 17, 204, 264, 6549, 68, 655, 31, 783, 64, 9742, 8713, 648, 204, 264, 378, 68, 655, 31, 783, 64, 9742, 8713, 648, 204, 264, 919, 68, 546, 31, 2621, 17, 204, 14, 393, 28331, 31, 204, 264, 320, 204, 264, 2672, 273, 28331, 570, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 268, 6549, 68, 655, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 10820, 424, 204, 268, 378, 68, 655, 322, 1218, 64, 9742, 8713, 1037, 783, 302, 7346, 424, 204, 268, 919, 68, 546, 322, 4203, 330, 2621, 311, 919, 1445, 204, 204, 264, 475, 31, 204, 268, 16728, 28331, 570, 204, 264, 320, 204, 264, 314, 763, 1781, 1586, 204, 264, 1781, 68, 1087, 289, 9935, 13, 49012, 20898, 319, 2108, 17, 954, 19, 2607, 14, 204, 615, 264, 314, 3866, 1781, 1586, 204, 264, 3893, 68, 2607, 68, 1087, 13, 2607, 68, 1087, 14, 204, 204, 264, 314, 666, 683, 19052, 204, 264, 683, 68, 15281, 289, 1895, 68, 15281, 13, 204, 268, 6549, 68, 655, 17, 204, 268, 378, 68, 655, 17, 204, 268, 8062, 34, 1975, 17, 204, 268, 2068, 68, 835, 34, 2607, 68, 1087, 19, 2884, 68, 835, 17, 204, 264, 1179, 204, 615, 264, 314, 763, 683, 1485, 204, 264, 683, 68, 2182, 289, 9935, 13, 26090, 5030, 17, 683, 68, 15281, 19, 2182, 14, 204, 615, 264, 314, 968, 2322, 322, 22690, 521, 11290, 14, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 7, 397, 1781, 68, 1087, 19, 809, 19, 6938, 902, 388, 6995, 431, 204, 615, 264, 314, 48030, 28331, 570, 204, 264, 570, 31, 28331, 289, 2725, 14208, 19, 2918, 19, 43293, 11051, 13, 204, 268, 1781, 68, 1087, 19, 809, 17, 204, 268, 7346, 68, 19298, 34, 804, 68, 2182, 19, 495, 68, 19298, 17, 204, 268, 10820, 68, 19298, 34, 804, 68, 2182, 19, 3162, 68, 19298, 17, 204, 264, 1179, 204, 204, 264, 314, 968, 570, 832, 204, 264, 570, 68, 546, 289, 919, 68, 546, 802, 388, 809, 19, 386, 7, 204, 615, 264, 314, 778, 397, 570, 353, 2861, 6020, 204, 264, 397, 570, 68, 546, 19, 4332, 1293, 204, 268, 314, 1385, 6020, 570, 204, 268, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 809, 68, 546, 602, 204, 268, 570, 19, 633, 13, 3075, 14, 204, 264, 902, 31, 204, 268, 314, 2672, 570, 204, 268, 570, 19, 633, 13, 3075, 14, 204, 268, 951, 68, 15281, 289, 1895, 68, 15281, 13, 204, 305, 6549, 68, 655, 17, 204, 305, 378, 68, 655, 17, 204, 305, 8062, 34, 1021, 17, 204, 305, 2068, 68, 835, 34, 2607, 68, 1087, 19, 2884, 68, 835, 17, 204, 305, 5790, 68, 2391, 34, 1021, 17, 204, 268, 1179, 204, 268, 919, 31, 7502, 17040, 8116, 289, 2725, 14208, 19, 2918, 19, 2960, 13, 204, 305, 1781, 68, 1087, 19, 5135, 68, 5891, 17, 204, 305, 570, 34, 809, 17, 204, 305, 951, 68, 15281, 34, 1219, 68, 15281, 17, 204, 268, 1179, 204, 268, 314, 3025, 6020, 570, 204, 0 ]

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

[ 0, 268, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 570, 68, 546, 14, 204, 204, 264, 407, 570, 204, 204, 204, 461, 7009, 68, 17875, 13, 1087, 31, 46502, 2108, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 1051, 570, 311, 18679, 1163, 11876, 2817, 27108, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 26090, 2108, 330, 46502, 1586, 204, 264, 320, 204, 264, 314, 763, 2082, 204, 264, 2082, 289, 636, 68, 3342, 3843, 417, 4422, 204, 264, 2082, 19, 1270, 499, 31094, 1240, 1781, 31, 7009, 11876, 2817, 431, 204, 204, 264, 314, 1385, 424, 204, 264, 6549, 68, 655, 17, 378, 68, 655, 17, 6549, 68, 2199, 17, 378, 68, 2199, 289, 1137, 68, 481, 13, 1087, 14, 204, 615, 264, 314, 968, 919, 832, 204, 264, 919, 68, 546, 289, 2621, 13, 1087, 19, 481, 19, 2826, 68, 546, 14, 802, 388, 17875, 68, 2816, 7, 204, 264, 919, 68, 546, 19, 13986, 13, 8038, 68, 779, 34, 1021, 17, 6757, 34, 1021, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 570, 289, 951, 68, 809, 13, 1087, 17, 6549, 68, 655, 17, 378, 68, 655, 17, 919, 68, 546, 14, 204, 204, 264, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 954, 289, 46502, 2108, 374, 226, 314, 977, 46502, 1586, 204, 264, 7009, 68, 17875, 13, 1087, 14, 204, 0, 647, 2454, 204, 647, 690, 204, 647, 8738, 204, 531, 1498, 532, 5006, 204, 204, 676, 3215, 10062, 31, 204, 264, 320, 204, 264, 20010, 850, 496, 6609, 437, 919, 4457, 311, 2281, 424, 19, 204, 615, 264, 1974, 490, 292, 1322, 872, 3480, 311, 4457, 1025, 5805, 1792, 1194, 20721, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 4457, 68, 7414, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 3215, 10062, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 4457, 68, 7414, 322, 325, 330, 334, 1354, 311, 732, 348, 275, 919, 4457, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 828, 4457, 68, 7414, 353, 1917, 17, 732, 490, 311, 838, 273, 717, 919, 4457, 204, 268, 397, 4457, 68, 7414, 31, 204, 305, 314, 1765, 12116, 17, 572, 6356, 5257, 4457, 68, 7414, 353, 273, 1097, 510, 832, 204, 305, 370, 19, 4509, 289, 1451, 13, 4509, 68, 7414, 17, 379, 92, 534, 204, 268, 902, 31, 204, 305, 314, 9444, 17, 732, 2454, 19, 8869, 448, 275, 1540, 919, 4457, 204, 305, 370, 19, 4509, 289, 2454, 19, 8869, 204, 204, 264, 436, 2281, 13, 327, 17, 424, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 424, 311, 275, 919, 4457, 19, 204, 822, 268, 457, 31, 204, 268, 424, 322, 325, 330, 334, 424, 311, 2281, 311, 275, 919, 4457, 19, 204, 268, 320, 204, 268, 314, 3400, 275, 424, 311, 275, 919, 4457, 204, 268, 370, 19, 4509, 19, 2206, 13, 481, 14, 204, 268, 314, 37826, 275, 919, 4457, 311, 4897, 275, 424, 353, 5052, 11084, 204, 268, 370, 19, 4509, 19, 17208, 374, 204, 204, 204, 676, 10352, 2204, 1891, 13, 24506, 19, 9928, 330, 204, 264, 320, 204, 264, 5297, 348, 919, 1693, 16950, 1714, 19, 204, 615, 264, 1058, 850, 6609, 273, 7490, 3532, 311, 38696, 1395, 275, 4065, 1714, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2237, 3584, 448, 850, 3454, 204, 264, 34054, 68, 14152, 13617, 289, 2470, 42899, 491, 379, 45581, 491, 379, 7237, 299, 3688, 491, 204, 14019, 379, 7237, 299, 491, 379, 16744, 491, 379, 5273, 299, 491, 379, 281, 1229, 1070, 491, 204, 14019, 379, 45581, 5217, 23253, 839, 204, 264, 314, 968, 275, 919, 1883, 448, 273, 850, 3324, 204, 264, 24682, 68, 13538, 289, 7810, 87, 9489, 23, 75, 26012, 4151, 322, 2974, 31, 26941, 22, 75, 43322, 20, 88, 719, 31, 26941, 22, 75, 724, 39, 20, 88, 21223, 31, 1564, 73, 14, 1564, 88, 12, 204, 264, 314, 968, 275, 1540, 5119, 448, 273, 850, 3324, 204, 264, 8719, 68, 15831, 289, 500, 19, 26, 226, 314, 3331, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1714, 31, 5006, 17, 23349, 68, 553, 17, 5119, 31, 818, 289, 8719, 68, 15831, 17, 919, 68, 4509, 31, 3215, 10062, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 10352, 2204, 1891, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 1714, 322, 9261, 330, 332, 741, 496, 2584, 275, 790, 4065, 1714, 19, 204, 268, 23349, 68, 553, 31, 334, 23349, 510, 2545, 12579, 19, 204, 268, 5119, 322, 996, 330, 334, 3091, 1283, 1714, 7861, 19, 1243, 311, 8719, 68, 15831, 19, 204, 268, 919, 68, 4509, 322, 8116, 10062, 330, 334, 919, 4457, 311, 732, 348, 1714, 7861, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 314, 6993, 275, 1714, 741, 329, 23349, 510, 204, 268, 370, 19, 1835, 289, 1714, 204, 268, 370, 19, 28692, 68, 553, 289, 23349, 68, 553, 204, 268, 314, 6993, 275, 5119, 329, 919, 4457, 204, 268, 370, 19, 7738, 289, 5119, 204, 268, 370, 19, 1420, 68, 4509, 289, 919, 68, 4509, 397, 919, 68, 4509, 902, 3215, 10062, 374, 204, 268, 314, 3867, 808, 3532, 273, 21263, 754, 490, 28558, 1330, 275, 667, 3532, 28558, 204, 268, 370, 19, 24158, 289, 959, 204, 268, 314, 4055, 275, 3532, 204, 268, 370, 19, 1530, 374, 204, 204, 264, 436, 906, 2478, 68, 1420, 13, 327, 17, 1714, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9265, 275, 919, 782, 1609, 523, 275, 1714, 19, 204, 822, 268, 457, 31, 204, 268, 1714, 31, 334, 790, 4065, 1714, 19, 204, 822, 268, 475, 31, 204, 268, 394, 31, 334, 6585, 919, 782, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 24682, 68, 13538, 311, 838, 275, 919, 782, 204, 268, 407, 370, 19, 11927, 68, 13538, 1564, 322, 204, 305, 1714, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 10404, 540, 1607, 17, 204, 305, 1714, 19, 7237, 68, 1949, 802, 3861, 17, 204, 305, 1714, 19, 7488, 68, 1949, 802, 3861, 17, 204, 305, 1714, 19, 920, 68, 37431, 17, 204, 305, 370, 19, 15486, 68, 14152, 13617, 64, 1835, 19, 1512, 694, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 1714, 1395, 3546, 19, 204, 268, 320, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 314, 763, 275, 790, 1714, 204, 485, 1714, 289, 370, 19, 1835, 374, 204, 485, 314, 9265, 275, 919, 782, 204, 485, 919, 289, 370, 806, 2478, 68, 1420, 13, 1835, 14, 204, 485, 314, 3400, 275, 919, 782, 311, 275, 919, 4457, 204, 485, 370, 19, 1420, 68, 4509, 19, 2206, 13, 1420, 14, 204, 485, 314, 18285, 348, 275, 1713, 5119, 204, 485, 690, 19, 4867, 13, 327, 19, 7738, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 2805, 496, 1336, 204, 485, 456, 13, 75, 7, 596, 31, 463, 74, 7068, 510, 34, 4807, 19, 10449, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 8467, 5330, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 10404, 289, 500, 19, 26, 204, 268, 370, 19, 7237, 68, 1949, 289, 20846, 204, 268, 370, 19, 7488, 68, 1949, 289, 32114, 204, 268, 370, 19, 920, 68, 37431, 289, 931, 204, 268, 370, 19, 1512, 289, 571, 226, 314, 16950, 204, 204, 264, 436, 636, 68, 1835, 13, 327, 330, 204, 268, 407, 370, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 8467, 5330, 1014, 204, 264, 1714, 289, 8467, 5330, 374, 204, 264, 314, 666, 273, 10352, 2204, 1891, 1014, 204, 264, 44017, 289, 10352, 2204, 1891, 13, 1835, 19, 505, 68, 1835, 17, 388, 2569, 19, 28692, 431, 204, 264, 314, 14086, 275, 667, 3532, 4436, 311, 3020, 275, 1714, 7861, 204, 264, 1335, 959, 31, 204, 268, 690, 19, 4867, 13, 22, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 3259, 7368, 19568, 1234, 19, 1443, 532, 7242, 204, 531, 1498, 532, 783, 204, 204, 676, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 13, 2862, 330, 204, 264, 320, 204, 264, 332, 824, 850, 348, 15734, 38981, 35089, 21223, 19, 204, 204, 264, 1532, 31, 204, 268, 2689, 322, 339, 330, 334, 2689, 302, 275, 824, 19, 204, 268, 5165, 322, 339, 330, 334, 5165, 302, 275, 824, 19, 204, 268, 1552, 68, 5863, 322, 325, 330, 334, 1552, 2945, 302, 275, 824, 19, 204, 268, 1552, 68, 1993, 322, 325, 330, 334, 1552, 1242, 302, 275, 824, 19, 204, 268, 1464, 5669, 68, 2602, 68, 1915, 322, 1218, 64, 325, 1037, 334, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 268, 1259, 322, 325, 330, 334, 1259, 302, 275, 824, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 850, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 71, 20050, 6092, 491, 379, 48112, 7076, 59, 22, 491, 379, 46958, 39, 82, 59, 6092, 12988, 375, 1480, 491, 379, 71, 20050, 6092, 19, 2005, 19, 48112, 19, 1453, 534, 204, 204, 264, 1642, 3830, 204, 264, 436, 2689, 13, 327, 14, 393, 421, 31, 204, 268, 320, 10588, 275, 2689, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 3485, 534, 204, 204, 264, 1642, 3485, 19, 11094, 204, 264, 436, 2689, 13, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 5313, 275, 2689, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 2689, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 437, 1534, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 421, 330, 204, 305, 980, 3660, 499, 21495, 1631, 444, 437, 1534, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 3485, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 5165, 13, 327, 14, 393, 421, 31, 204, 268, 320, 10588, 275, 5165, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 5911, 534, 204, 204, 264, 1642, 5911, 19, 11094, 204, 264, 436, 5165, 13, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 5313, 275, 5165, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 5165, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 437, 1534, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 421, 330, 204, 305, 980, 3660, 499, 34564, 1631, 444, 437, 1534, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 5911, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1552, 68, 5863, 13, 327, 14, 393, 394, 31, 204, 268, 320, 10588, 275, 1552, 2945, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1115, 18839, 534, 204, 204, 264, 1642, 1115, 68, 5863, 19, 11094, 204, 264, 436, 1552, 68, 5863, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1552, 2945, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1552, 2945, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 8477, 2945, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1115, 18839, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1552, 68, 1993, 13, 327, 14, 393, 394, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 320, 10588, 275, 1552, 1242, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1115, 1186, 534, 204, 204, 264, 1642, 1115, 68, 1993, 19, 11094, 204, 264, 436, 1552, 68, 1993, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1552, 1242, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1552, 1242, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 8477, 1242, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1115, 1186, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1464, 5669, 68, 2602, 68, 1915, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 10588, 275, 1464, 5669, 1727, 4192, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 396, 5669, 5064, 31837, 534, 204, 204, 264, 1642, 396, 5669, 68, 2602, 68, 1915, 19, 11094, 204, 264, 436, 1464, 5669, 68, 2602, 68, 1915, 13, 327, 17, 700, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 5313, 275, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 1218, 64, 325, 1037, 334, 1464, 5669, 1727, 4192, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 458, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 458, 330, 204, 305, 980, 3660, 499, 12988, 5669, 1727, 4192, 1631, 444, 273, 458, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 396, 5669, 5064, 31837, 491, 700, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1259, 13, 327, 14, 393, 394, 31, 204, 268, 320, 10588, 275, 1259, 302, 275, 824, 1279, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1512, 534, 204, 204, 264, 1642, 1512, 19, 11094, 204, 264, 436, 1259, 13, 327, 17, 700, 31, 394, 330, 204, 268, 320, 204, 268, 5313, 275, 1259, 302, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 1259, 302, 275, 824, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 700, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 876, 17, 394, 330, 204, 305, 980, 3660, 499, 5059, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 826, 68, 2394, 611, 1512, 491, 700, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 824, 289, 22427, 39, 82, 59, 6092, 12988, 375, 1480, 2862, 374, 204, 264, 824, 19, 3485, 289, 931, 204, 264, 824, 19, 5911, 289, 500, 204, 264, 824, 19, 1115, 68, 5863, 289, 388, 12010, 7, 204, 264, 824, 19, 1115, 68, 1993, 289, 388, 1510, 3103, 7, 204, 264, 824, 19, 396, 5669, 68, 2602, 68, 1915, 289, 3134, 6092, 93, 18, 11085, 1339, 204, 264, 824, 19, 1512, 289, 388, 6772, 7, 204, 264, 456, 13, 1443, 19, 505, 68, 2645, 1447, 204, 0, 647, 2164, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 3752, 68, 19630, 68, 531, 68, 2005, 13, 805, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 11244, 273, 458, 302, 5899, 497, 275, 1917, 19870, 1893, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 302, 275, 19870, 1893, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3477, 5239, 19, 204, 204, 264, 1632, 31, 204, 268, 2164, 19, 6866, 31, 828, 275, 824, 311, 275, 1893, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 681, 8005, 521, 720, 8005, 1714, 6210, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 275, 2710, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 10775, 5899, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 456, 68, 7199, 68, 1270, 13, 19630, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 458, 302, 5899, 329, 1017, 2737, 17097, 19, 204, 204, 264, 457, 31, 204, 268, 5899, 322, 655, 330, 332, 458, 302, 3477, 5239, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 3494, 204, 264, 456, 13, 75, 1954, 12, 18035, 597, 1719, 98, 226, 338, 2552, 48837, 12, 743, 204, 264, 456, 28358, 540, 3382, 14, 204, 615, 264, 314, 1198, 848, 3477, 677, 1483, 204, 264, 348, 3477, 292, 5899, 31, 204, 268, 456, 13, 75, 1954, 7199, 736, 417, 5441, 1719, 98, 226, 338, 463, 7199, 736, 12755, 9436, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 1893, 1274, 204, 264, 3923, 68, 805, 289, 388, 3189, 1963, 5243, 19630, 19, 23096, 20, 5243, 20, 91, 23, 20, 668, 7, 204, 615, 264, 810, 31, 204, 268, 314, 6579, 275, 5899, 497, 275, 1893, 204, 268, 5899, 289, 3752, 68, 19630, 68, 531, 68, 2005, 13, 2005, 68, 805, 14, 204, 822, 268, 314, 1198, 275, 3477, 1483, 204, 268, 456, 68, 7199, 68, 1270, 13, 19630, 14, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 5925, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 3752, 5899, 31, 463, 74, 743, 204, 268, 5925, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 667, 374, 204, 0, 56, 1911, 299, 2317, 332, 2637, 3196, 302, 13253, 302, 275, 46164, 302, 275, 14079, 36, 4700, 6, 1643, 1818, 292, 10137, 9551, 292, 275, 12531, 3249, 80, 439, 298, 12654, 95, 13135, 19, 204, 64, 281, 40141, 18, 16707, 363, 371, 18, 1538, 18, 9892, 21785, 18, 416, 18, 9888, 18, 11967, 6934, 34, 1001, 816, 68, 13700, 1001, 18048, 34, 1001, 1003, 2132, 6655, 19047, 5007, 6007, 3276, 27, 5049, 42839, 35429, 226, 945, 71, 34, 1001, 8369, 30, 2353, 5820, 1036, 4957, 3276, 1258, 2682, 2314, 35429, 3840, 81, 34, 1001, 75, 7166, 2036, 1001, 24251, 492, 34, 1001, 53, 323, 21785, 1001, 6060, 34, 1001, 11062, 1001, 1237, 34, 1001, 30, 35429, 771, 34, 1001, 30, 35429, 1302, 34, 1001, 13151, 35429, 16868, 34, 1001, 22, 35429, 8906, 34, 1001, 22, 35429, 13297, 34, 1001, 5342, 1001, 846, 34, 1001, 2051, 35429, 300, 912, 6628, 34, 1001, 22, 35429, 66, 204, 56, 1911, 299, 353, 273, 1352, 292, 928, 970, 521, 1182, 9823, 2696, 529, 12174, 4430, 560, 29345, 329, 21418, 273, 47359, 9823, 322, 88, 1911, 14, 1025, 275, 7018, 17, 275, 47359, 9823, 5701, 273, 3124, 29345, 917, 1194, 275, 1225, 13246, 19, 387, 1911, 299, 30091, 497, 43161, 292, 496, 297, 1911, 299, 1583, 508, 10649, 29345, 275, 1225, 8305, 19, 592, 6563, 8066, 17, 275, 47359, 9823, 13943, 3450, 630, 273, 5092, 3312, 17, 1101, 275, 1225, 13246, 9823, 1583, 508, 30611, 19, 4385, 270, 447, 10501, 830, 10068, 375, 13782, 3014, 17, 1101, 8543, 14453, 874, 16311, 1135, 756, 732, 302, 3014, 18, 8382, 520, 30182, 348, 27849, 329, 903, 47603, 5356, 19, 204, 2841, 353, 6678, 496, 297, 1911, 299, 867, 18246, 719, 311, 13777, 2181, 8518, 292, 23279, 40757, 555, 1257, 19, 387, 1911, 299, 329, 6563, 8066, 529, 6183, 311, 874, 273, 391, 3762, 3060, 4744, 292, 275, 3511, 302, 9823, 18, 15650, 17, 9047, 2518, 23243, 34269, 19, 7035, 270, 1516, 297, 2489, 497, 12351, 19556, 34269, 1466, 30528, 974, 5027, 297, 1911, 299, 19, 204, 20203, 2836, 298, 466, 2545, 1966, 560, 297, 1911, 299, 204, 56, 1911, 299, 867, 33158, 1376, 311, 1895, 45230, 2696, 17, 19654, 306, 879, 329, 7807, 17, 448, 2590, 448, 904, 5018, 1702, 448, 292, 28027, 2772, 25321, 336, 12451, 19, 0, 19641, 34521, 6336, 1405, 3307, 302, 275, 12724, 8224, 204, 40731, 2153, 17, 11166, 204, 3244, 2171, 3062, 3237, 19, 204, 17664, 466, 8849, 874, 7001, 273, 35649, 496, 348, 275, 1043, 690, 3629, 273, 2158, 1025, 275, 2637, 3948, 15705, 302, 17582, 3307, 19, 204, 673, 11128, 9612, 11395, 791, 599, 17, 273, 12479, 3599, 302, 8873, 3003, 302, 29258, 17, 353, 754, 3403, 490, 618, 1742, 5298, 497, 2817, 19, 204, 3837, 353, 8405, 7249, 311, 17556, 496, 808, 798, 302, 17582, 3307, 26935, 301, 6332, 523, 273, 3171, 5406, 3948, 19, 204, 673, 3384, 497, 10224, 329, 12820, 16894, 3695, 302, 275, 35649, 292, 16476, 40013, 19, 204, 673, 2667, 329, 9793, 10569, 302, 21291, 17582, 3307, 1702, 448, 724, 31326, 17992, 17, 34998, 295, 1405, 17, 414, 616, 37270, 28654, 329, 29258, 40808, 529, 11864, 9647, 560, 6196, 496, 1336, 630, 7539, 273, 13690, 2666, 5406, 1194, 273, 4013, 470, 8104, 19, 204, 13759, 27852, 1605, 6332, 7239, 353, 273, 41160, 6160, 19, 334, 15641, 9793, 2263, 21675, 17, 3312, 17, 11791, 4683, 17, 329, 8912, 516, 874, 754, 4935, 2927, 6709, 523, 808, 3948, 13337, 292, 1017, 4193, 1964, 19, 204, 33383, 447, 17, 7476, 874, 4768, 17582, 3307, 1025, 275, 1069, 17, 5602, 5748, 497, 275, 12724, 17, 7239, 17, 11897, 1483, 353, 8287, 1465, 1662, 275, 4645, 8808, 329, 28441, 19, 204, 673, 717, 9417, 867, 8405, 7001, 311, 17046, 630, 275, 8469, 8224, 19, 204, 7, 2310, 529, 23429, 275, 20135, 292, 1163, 4193, 1964, 928, 353, 3060, 3700, 329, 5362, 311, 28343, 292, 275, 1069, 5167, 6834, 313, 10713, 14367, 1156, 21489, 17, 1085, 302, 275, 35649, 677, 4383, 3384, 17, 10571, 32096, 9582, 19, 204, 673, 1627, 302, 8849, 874, 18275, 275, 5800, 302, 808, 35649, 560, 13915, 275, 15705, 302, 3509, 9275, 2554, 17, 275, 2637, 7160, 496, 4430, 1895, 719, 29258, 40808, 19, 204, 13239, 8696, 39464, 4680, 302, 9275, 85, 36119, 848, 904, 440, 11586, 47686, 299, 37689, 1320, 17, 329, 1425, 3509, 9275, 2554, 12076, 311, 6635, 4764, 19, 204, 5039, 29258, 40808, 3332, 275, 2688, 529, 38483, 292, 1302, 3913, 311, 3651, 6196, 273, 17540, 6121, 302, 275, 2637, 3948, 6332, 12511, 808, 32305, 594, 353, 1945, 19, 1058, 35649, 869, 275, 3836, 311, 1308, 1605, 9087, 19, 204, 40026, 299, 2830, 21960, 348, 275, 1225, 17, 6834, 14367, 1156, 21489, 497, 275, 8452, 302, 27019, 18452, 630, 275, 4639, 302, 15956, 403, 70, 3252, 31, 388, 673, 12724, 24557, 273, 6273, 302, 2077, 7977, 17, 1429, 1880, 529, 508, 9136, 302, 275, 9253, 329, 275, 11031, 2292, 302, 2075, 353, 6186, 523, 685, 1422, 3343, 204, 673, 35649, 9995, 302, 2665, 9793, 14885, 2927, 497, 273, 21296, 21862, 9492, 440, 10142, 19, 4596, 8910, 12387, 275, 2665, 302, 275, 14885, 2549, 444, 7716, 19, 472, 45863, 10170, 3702, 4897, 73, 275, 17582, 3307, 867, 2590, 4344, 19, 204, 5797, 275, 8941, 867, 13782, 292, 273, 19882, 1561, 496, 2549, 444, 4768, 1873, 311, 275, 8469, 8224, 329, 25851, 560, 273, 20562, 19, 204, 673, 8849, 2556, 496, 275, 717, 35649, 1120, 444, 5096, 311, 5800, 6982, 273, 17775, 933, 302, 8615, 2357, 2864, 33850, 17, 47985, 17, 6038, 31422, 1154, 17, 10142, 18621, 17, 17582, 44323, 329, 11258, 19, 0, 315, 204, 1834, 2413, 8913, 273, 3017, 1893, 348, 11696, 14827, 17, 1860, 17, 329, 12117, 7092, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 5908, 17, 14305, 204, 531, 4433, 68, 26762, 532, 21659, 17, 4393, 68, 10768, 204, 531, 6686, 532, 322, 204, 264, 636, 68, 481, 17, 204, 264, 1813, 68, 2375, 68, 1424, 68, 2574, 17, 204, 264, 1813, 68, 2375, 68, 1424, 68, 6811, 17, 204, 264, 636, 68, 668, 68, 23435, 17, 204, 264, 636, 68, 668, 68, 2375, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 636, 68, 668, 68, 34517, 7092, 17, 204, 264, 1813, 68, 553, 68, 1424, 68, 359, 17, 204, 14, 204, 204, 8, 968, 273, 3324, 348, 275, 6394, 204, 21877, 289, 3382, 226, 314, 3331, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 45251, 13, 748, 17, 4764, 2508, 87, 16825, 2005, 22823, 559, 2832, 45450, 559, 17203, 6669, 1937, 204, 204, 8, 968, 273, 741, 311, 2906, 2744, 204, 461, 2906, 68, 718, 13, 718, 31, 1319, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1426, 2744, 329, 407, 273, 2084, 958, 19, 204, 204, 264, 457, 31, 204, 268, 908, 322, 2940, 330, 334, 908, 311, 2906, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 5106, 1714, 1576, 19, 204, 264, 320, 204, 264, 407, 5908, 7075, 718, 559, 394, 13, 718, 27778, 5106, 204, 204, 8, 968, 273, 14497, 348, 14827, 13327, 204, 23435, 68, 10182, 289, 14305, 499, 23435, 528, 589, 417, 4422, 204, 204, 37, 23435, 68, 10182, 19, 3955, 6343, 2005, 20, 23435, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 23435, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 14827, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 14827, 497, 275, 424, 2139, 204, 268, 14827, 289, 636, 68, 668, 68, 23435, 374, 204, 268, 407, 5908, 13, 23435, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 968, 273, 14497, 348, 1860, 13327, 204, 2375, 68, 10182, 289, 14305, 499, 2375, 528, 589, 417, 4422, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 2375, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 636, 68, 668, 68, 2375, 374, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 8121, 1031, 31, 553, 68, 359, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 553, 68, 1424, 68, 359, 68, 8155, 13, 553, 68, 359, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 273, 510, 560, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 510, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 510, 497, 275, 424, 2139, 204, 268, 510, 289, 1813, 68, 553, 68, 1424, 68, 359, 13, 553, 68, 359, 14, 204, 268, 407, 5908, 13, 553, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 2375, 68, 10182, 19, 3955, 6343, 2005, 20, 2375, 20, 6811, 8121, 1031, 31, 6811, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 2375, 68, 1424, 68, 6811, 68, 8155, 13, 6811, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 1860, 560, 3351, 19, 204, 204, 264, 457, 31, 204, 268, 3351, 322, 325, 330, 334, 3351, 311, 3686, 1860, 497, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 1813, 68, 2375, 68, 1424, 68, 6811, 13, 6811, 14, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 968, 273, 14497, 348, 12117, 7092, 13327, 204, 34517, 7092, 68, 10182, 289, 14305, 499, 34517, 7092, 528, 589, 417, 4422, 204, 204, 37, 34517, 7092, 68, 10182, 19, 3955, 6343, 2005, 20, 34517, 7092, 528, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 668, 68, 34517, 7092, 68, 8155, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 830, 12117, 7092, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 830, 12117, 7092, 497, 275, 424, 2139, 204, 268, 12117, 7092, 289, 636, 68, 668, 68, 34517, 7092, 374, 204, 268, 407, 5908, 13, 34517, 7092, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 37, 34517, 7092, 68, 10182, 19, 3955, 6343, 2005, 20, 34517, 7092, 20, 2574, 8121, 1031, 31, 2574, 17119, 2986, 8090, 5016, 3808, 204, 37, 9634, 68, 10768, 374, 204, 461, 636, 68, 2375, 68, 1424, 68, 2574, 68, 8155, 13, 2574, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 763, 1860, 560, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 3686, 1860, 348, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 2084, 958, 440, 273, 2031, 1714, 1576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 0 ]

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

[ 0, 763, 275, 1860, 497, 275, 424, 2139, 204, 268, 1860, 289, 1813, 68, 2375, 68, 1424, 68, 2574, 13, 2574, 14, 204, 268, 407, 5908, 13, 2375, 659, 2031, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 204, 268, 407, 2906, 68, 718, 13, 74, 14, 204, 204, 8, 6676, 275, 27732, 204, 748, 19, 4216, 68, 10182, 13, 23435, 68, 10182, 14, 204, 748, 19, 4216, 68, 10182, 13, 2375, 68, 10182, 14, 204, 748, 19, 4216, 68, 10182, 13, 34517, 7092, 68, 10182, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2466, 275, 1650, 292, 5344, 2291, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 461, 456, 68, 7291, 13, 417, 31, 394, 17, 943, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15309, 4389, 943, 311, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 311, 444, 35969, 19, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 4389, 943, 440, 275, 1917, 588, 329, 943, 204, 264, 456, 13, 75, 7, 5975, 17, 463, 417, 31097, 463, 1454, 743, 204, 204, 461, 636, 68, 35664, 68, 2873, 374, 393, 421, 31, 204, 264, 320, 204, 264, 475, 273, 4883, 1324, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 4883, 1324, 19, 204, 264, 320, 204, 264, 314, 1765, 808, 1763, 17, 2249, 677, 2506, 30604, 448, 275, 4883, 1324, 204, 264, 407, 30604, 204, 204, 461, 456, 68, 2873, 68, 1454, 13, 2873, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 943, 5850, 273, 4883, 1324, 19, 204, 204, 264, 457, 31, 204, 268, 1324, 322, 339, 330, 334, 4883, 1324, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 4883, 1324, 943, 204, 264, 456, 13, 75, 7, 673, 4883, 1324, 353, 31, 463, 2873, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 588, 204, 264, 588, 289, 537, 499, 5213, 2064, 1214, 588, 31, 2810, 204, 615, 264, 314, 968, 275, 4389, 943, 204, 264, 4389, 68, 1454, 289, 388, 15352, 311, 2077, 1561, 9851, 204, 615, 264, 314, 1198, 275, 4389, 943, 204, 264, 456, 68, 7291, 13, 417, 17, 4389, 68, 1454, 14, 204, 615, 264, 314, 763, 275, 4883, 1324, 204, 264, 4883, 68, 2873, 289, 636, 68, 35664, 68, 2873, 374, 204, 615, 264, 314, 1198, 275, 4883, 1324, 943, 204, 264, 456, 68, 2873, 68, 1454, 13, 35664, 68, 2873, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 315, 204, 22422, 18920, 1594, 204, 35381, 35381, 35381, 35381, 35381, 35381, 35381, 35381, 204, 204, 1834, 2413, 3192, 3454, 329, 4364, 348, 2457, 5499, 5914, 424, 19, 204, 204, 14203, 31, 204, 7848, 7848, 7848, 7848, 204, 204, 15, 42430, 19, 7085, 19, 2300, 31, 20933, 322, 50, 13202, 20061, 16205, 14, 204, 315, 204, 204, 531, 8632, 532, 8204, 204, 531, 2573, 532, 5782, 204, 531, 1498, 532, 1061, 204, 204, 676, 16898, 6059, 13, 5346, 330, 204, 264, 320, 5346, 348, 5499, 8982, 1279, 204, 264, 42900, 13559, 68, 22, 289, 388, 6059, 22, 7, 204, 264, 42900, 13559, 68, 23, 289, 388, 6059, 23, 7, 204, 204, 676, 16898, 38063, 989, 31, 204, 264, 320, 3317, 348, 2457, 5499, 5914, 424, 1279, 204, 615, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 2963, 68, 5950, 31, 1061, 64, 22422, 6059, 17, 1109, 648, 716, 1095, 296, 6092, 31, 394, 17, 716, 1095, 11139, 31, 394, 17, 716, 1095, 752, 68, 3473, 31, 394, 17, 716, 1095, 16830, 31, 1109, 17, 716, 1095, 16680, 68, 21830, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 275, 5499, 5914, 424, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2963, 68, 5950, 322, 1665, 64, 22422, 6059, 17, 1109, 1037, 5439, 302, 275, 5499, 8982, 19, 204, 268, 338, 296, 6092, 322, 325, 330, 334, 3877, 40, 322, 5987, 18, 4880, 27673, 14, 896, 19, 204, 268, 338, 11139, 322, 325, 330, 334, 790, 11139, 302, 275, 5499, 19, 204, 268, 338, 752, 68, 3473, 322, 325, 330, 334, 11139, 630, 275, 690, 275, 752, 867, 4768, 19, 204, 268, 338, 16830, 322, 2107, 330, 3898, 23896, 397, 275, 5499, 869, 273, 16830, 322, 17683, 16680, 41372, 789, 204, 268, 338, 16680, 68, 21830, 322, 2107, 330, 3898, 23896, 397, 275, 5499, 869, 273, 16680, 16830, 19, 204, 268, 320, 204, 268, 370, 19, 2947, 68, 5950, 289, 2963, 68, 5950, 204, 268, 370, 19, 579, 72, 289, 296, 6092, 204, 268, 370, 19, 3473, 289, 11139, 204, 268, 370, 19, 935, 68, 3473, 289, 752, 68, 3473, 204, 268, 370, 19, 21830, 289, 16830, 204, 268, 370, 19, 19576, 68, 21830, 289, 16680, 68, 21830, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 2208, 275, 5499, 5914, 424, 311, 273, 955, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 64, 325, 17, 394, 744, 334, 5499, 5914, 424, 448, 273, 955, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 6059, 22, 559, 394, 13, 327, 19, 2947, 68, 5950, 64, 22422, 6059, 19, 15562, 68, 22, 5060, 204, 305, 388, 6059, 23, 559, 394, 13, 327, 19, 2947, 68, 5950, 64, 22422, 6059, 19, 15562, 68, 23, 5060, 204, 305, 388, 46, 6092, 559, 370, 19, 579, 72, 17, 204, 305, 388, 32078, 559, 370, 19, 3473, 17, 204, 305, 388, 17082, 32078, 559, 370, 19, 935, 68, 3473, 17, 204, 305, 388, 33864, 10429, 559, 394, 13, 327, 19, 21830, 659, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 305, 388, 2938, 945, 33864, 10429, 559, 394, 13, 327, 19, 19576, 68, 21830, 14, 204, 268, 1211, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 955, 302, 2963, 3584, 204, 264, 2963, 68, 5950, 289, 463, 204, 268, 16898, 6059, 19, 15562, 68, 22, 31, 959, 17, 204, 268, 16898, 6059, 19, 15562, 68, 23, 31, 1078, 204, 264, 1211, 204, 615, 264, 314, 666, 273, 5499, 5914, 424, 726, 204, 264, 5914, 68, 481, 289, 16898, 38063, 989, 13, 204, 268, 2963, 68, 5950, 34, 2947, 68, 5950, 17, 716, 268, 296, 6092, 1022, 579, 72, 68, 644, 528, 716, 268, 11139, 1022, 1976, 68, 3473, 528, 716, 268, 752, 68, 3473, 1022, 935, 68, 3473, 528, 716, 268, 16830, 34, 1975, 17, 716, 268, 16680, 68, 21830, 34, 1975, 204, 264, 1179, 204, 615, 264, 314, 2208, 275, 5914, 424, 311, 273, 955, 204, 264, 5914, 68, 481, 68, 873, 289, 5914, 68, 481, 19, 633, 68, 873, 374, 204, 615, 264, 314, 1198, 275, 5914, 424, 955, 204, 264, 456, 13, 17845, 68, 481, 68, 873, 14, 204, 0, 4947, 435, 14013, 275, 1729, 448, 435, 36526, 36, 204, 204, 3882, 17, 435, 14013, 353, 508, 275, 1729, 448, 435, 36526, 19, 716, 204, 1449, 3822, 275, 6414, 302, 435, 14013, 292, 36526, 17, 572, 618, 732, 275, 5818, 2479, 31, 368, 6206, 353, 5387, 1936, 311, 368, 19, 4779, 5645, 36526, 19, 716, 204, 2551, 17, 435, 14013, 353, 1936, 311, 435, 610, 368, 19, 4779, 5645, 289, 435, 19, 1641, 5091, 36526, 19, 204, 204, 4931, 275, 800, 1435, 31, 204, 49, 23079, 311, 5481, 3386, 17432, 322, 49, 6333, 359, 14, 1435, 204, 23, 480, 289, 435, 19, 1641, 32779, 204, 204, 4356, 17, 435, 14013, 353, 5387, 1936, 311, 435, 19, 1641, 36526, 19, 716, 204, 1834, 3210, 496, 273, 435, 18, 11044, 17074, 3192, 1182, 11576, 1194, 273, 435, 18, 18408, 17074, 19, 716, 204, 837, 5549, 17, 435, 14013, 353, 508, 1936, 311, 435, 36526, 17, 1101, 6216, 5387, 435, 19, 1641, 36526, 19, 0, 531, 4433, 532, 3017, 17, 1779, 68, 1538, 17, 4123, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 3324, 348, 275, 1812, 2143, 204, 33997, 68, 16692, 289, 379, 94, 651, 8668, 8668, 12, 204, 204, 8, 968, 273, 5143, 348, 275, 1112, 1472, 204, 37, 748, 19, 3955, 12394, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4389, 943, 348, 275, 1112, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4389, 943, 19, 204, 264, 320, 204, 264, 407, 379, 5975, 5179, 19820, 204, 204, 8, 968, 273, 5143, 348, 275, 15399, 1472, 204, 37, 748, 19, 3955, 4195, 9226, 8121, 2574, 16906, 204, 461, 15399, 13, 2574, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4389, 943, 348, 275, 800, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 12042, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4389, 943, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2143, 353, 1097, 204, 264, 397, 508, 2143, 31, 204, 268, 314, 828, 275, 2143, 353, 1392, 17, 4123, 311, 275, 1112, 1472, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 204, 264, 314, 778, 397, 275, 2143, 353, 275, 1812, 1051, 204, 264, 397, 2143, 19, 3006, 374, 564, 38844, 68, 16692, 31, 204, 268, 314, 828, 275, 2143, 353, 275, 1812, 1051, 17, 407, 273, 4389, 943, 204, 268, 407, 283, 12, 5975, 17, 463, 2574, 98, 19820, 204, 264, 902, 31, 204, 268, 314, 828, 275, 2143, 353, 508, 275, 1812, 1051, 17, 407, 273, 943, 204, 268, 407, 283, 12, 5975, 17, 463, 2574, 31097, 3665, 529, 508, 275, 1812, 575, 10655, 204, 204, 8, 968, 273, 5143, 348, 275, 1465, 1472, 204, 37, 748, 19, 3955, 4195, 12519, 534, 204, 461, 1465, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 943, 348, 275, 1465, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 943, 19, 204, 264, 320, 204, 264, 407, 379, 1834, 353, 273, 3277, 3017, 1650, 10655, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 2466, 275, 3017, 1650, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 38, 5946, 25451, 3300, 44874, 204, 45175, 12494, 329, 11488, 1784, 19860, 4260, 273, 5166, 1286, 24604, 521, 273, 45936, 24604, 1882, 40006, 3658, 1273, 1250, 1466, 12527, 23124, 440, 15485, 17, 46851, 17, 329, 904, 6196, 19, 10146, 275, 36196, 2804, 1466, 1917, 348, 448, 275, 1407, 2236, 2854, 28144, 6999, 273, 38047, 7168, 560, 273, 11394, 4799, 36881, 497, 275, 6503, 8452, 4789, 31780, 9053, 17, 39665, 19, 592, 275, 21465, 275, 5641, 4316, 1784, 3891, 4430, 348, 275, 8546, 677, 32179, 292, 275, 653, 41304, 288, 19, 204, 53, 2797, 22093, 677, 1407, 2236, 2854, 28144, 3242, 8225, 6330, 1466, 9395, 2707, 19, 592, 275, 1324, 22063, 17, 273, 1051, 2344, 15063, 2493, 867, 758, 630, 2842, 1048, 2958, 17, 1207, 1880, 19, 1058, 353, 1182, 29161, 1330, 1051, 28883, 496, 275, 1113, 3390, 302, 275, 3226, 630, 496, 690, 867, 1698, 1168, 17, 43606, 5575, 311, 275, 548, 19, 56, 19, 28853, 19, 592, 42058, 17, 415, 2797, 22093, 677, 8213, 10865, 15995, 758, 3161, 24003, 15063, 2493, 19, 10910, 311, 1051, 2139, 17, 275, 42058, 415, 2797, 22093, 1407, 2236, 2854, 28144, 2080, 275, 1622, 48743, 15063, 302, 1169, 15028, 1407, 2236, 2854, 28144, 17, 1163, 6450, 15063, 1882, 275, 5641, 2247, 3054, 38943, 887, 17, 3894, 23, 4412, 348, 273, 970, 3747, 1113, 302, 28519, 17, 33762, 38412, 19, 3355, 17, 3205, 292, 275, 415, 2797, 22093, 1407, 2236, 2854, 28144, 3242, 8225, 6330, 7988, 311, 306, 2351, 292, 275, 5086, 20486, 88, 19, 334, 7591, 32850, 343, 496, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4816, 6494, 275, 11128, 33104, 2080, 24543, 560, 1675, 17, 329, 904, 2914, 1466, 3303, 2755, 348, 1855, 32179, 329, 9004, 728, 639, 19, 23833, 17, 273, 17705, 6838, 3692, 17, 329, 5914, 13253, 6802, 275, 4408, 6651, 302, 40798, 6121, 329, 8372, 32179, 19, 334, 3242, 8225, 6330, 2080, 13335, 1017, 8784, 35465, 9786, 447, 17, 1101, 34407, 13199, 9295, 10741, 1475, 19, 0, 461, 2037, 68, 19186, 68, 5386, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 275, 4607, 302, 2350, 6404, 1008, 19, 204, 204, 264, 1058, 741, 5538, 275, 2755, 5818, 2914, 311, 275, 6474, 19, 204, 264, 320, 204, 264, 456, 499, 37423, 14517, 2212, 204, 264, 456, 499, 70, 19, 43722, 311, 5045, 5513, 431, 204, 264, 456, 499, 71, 19, 1144, 11101, 3360, 311, 6890, 1015, 431, 204, 264, 456, 499, 72, 19, 46440, 272, 311, 15009, 27226, 431, 204, 204, 461, 636, 68, 816, 68, 19186, 68, 4352, 374, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 575, 677, 3508, 302, 5818, 19, 204, 204, 264, 1058, 741, 15162, 275, 575, 311, 2064, 1017, 3508, 329, 16340, 275, 537, 19, 204, 264, 1547, 2584, 275, 7540, 5818, 4248, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 7540, 5818, 4248, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 3508, 289, 537, 499, 2101, 275, 5818, 872, 3480, 311, 2811, 322, 70, 20, 71, 20, 72, 330, 6165, 3006, 374, 204, 268, 397, 3508, 292, 2470, 70, 491, 379, 71, 491, 379, 72, 5441, 204, 305, 407, 3508, 204, 268, 456, 499, 1962, 3508, 19, 2982, 810, 2528, 1280, 204, 204, 461, 636, 68, 7871, 68, 633, 68, 6470, 374, 393, 818, 31, 204, 264, 320, 204, 264, 763, 275, 4474, 311, 444, 6004, 19, 204, 204, 264, 1058, 741, 15162, 275, 575, 311, 2064, 273, 4474, 329, 16340, 275, 537, 19, 204, 264, 1547, 2584, 275, 4474, 448, 273, 818, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 311, 444, 6004, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 4474, 289, 818, 13, 768, 499, 2101, 275, 4474, 31, 4091, 204, 305, 407, 4474, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 461, 1814, 68, 1205, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 6166, 311, 15930, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 6166, 329, 2584, 275, 6414, 4474, 292, 15930, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 6166, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 15930, 19, 204, 264, 320, 204, 264, 314, 368, 12047, 353, 1936, 311, 1607, 15930, 204, 264, 407, 4474, 540, 1607, 204, 204, 461, 1814, 68, 8245, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 15906, 311, 12324, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 15906, 329, 2584, 275, 6414, 4474, 292, 12324, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 15906, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 12324, 19, 204, 264, 320, 204, 264, 314, 368, 27684, 353, 1936, 311, 3861, 12324, 204, 264, 407, 4474, 540, 3861, 204, 204, 461, 1814, 68, 6811, 13, 7871, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 26802, 311, 32878, 19, 204, 204, 264, 1058, 741, 5178, 273, 4474, 292, 26802, 329, 2584, 275, 6414, 4474, 292, 32878, 19, 204, 204, 264, 457, 31, 204, 268, 4474, 322, 996, 330, 334, 4474, 292, 26802, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 4474, 292, 32878, 19, 204, 264, 320, 204, 264, 314, 368, 4344, 272, 353, 1936, 311, 3861, 32878, 204, 264, 407, 4474, 540, 3861, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 204, 264, 1058, 741, 12784, 275, 5818, 4607, 17, 8290, 275, 575, 677, 3508, 17, 329, 16510, 275, 5818, 19, 204, 264, 320, 204, 264, 2037, 68, 19186, 68, 5386, 374, 204, 264, 1335, 959, 31, 204, 268, 3508, 289, 636, 68, 816, 68, 19186, 68, 4352, 374, 204, 268, 4474, 289, 636, 68, 7871, 68, 633, 68, 6470, 374, 204, 268, 397, 3508, 564, 379, 70, 597, 204, 305, 722, 289, 1814, 68, 1205, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 6166, 353, 1936, 311, 463, 1300, 98, 15930, 431, 204, 268, 1677, 3508, 564, 379, 71, 597, 204, 305, 722, 289, 1814, 68, 8245, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 15906, 353, 1936, 311, 463, 1300, 98, 12324, 431, 204, 268, 1677, 3508, 564, 379, 72, 597, 204, 305, 722, 289, 1814, 68, 6811, 13, 7871, 14, 204, 305, 456, 13, 75, 1954, 7871, 98, 26802, 353, 1936, 311, 463, 1300, 98, 32878, 431, 204, 268, 958, 289, 537, 499, 5058, 872, 13181, 311, 3524, 36, 322, 94, 20, 83, 330, 6165, 3006, 374, 204, 268, 397, 958, 2167, 379, 94, 597, 204, 305, 2280, 204, 264, 456, 499, 28644, 872, 348, 17322, 440, 479, 5397, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 204, 676, 48692, 31, 204, 264, 320, 204, 264, 3301, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 35896, 68, 9326, 68, 12450, 322, 325, 330, 334, 9740, 302, 275, 1104, 19, 204, 268, 33205, 68, 4617, 322, 325, 330, 334, 4583, 896, 348, 275, 1650, 19, 204, 268, 35896, 68, 22600, 68, 30813, 322, 2107, 330, 2266, 311, 3234, 23198, 19, 204, 264, 320, 204, 264, 35896, 68, 9326, 68, 12450, 289, 388, 9853, 20304, 1449, 5058, 19, 1479, 7, 204, 264, 33205, 68, 4617, 289, 1127, 19, 4969, 19, 505, 499, 9187, 68, 4617, 431, 226, 314, 1974, 1964, 1554, 348, 4583, 896, 204, 264, 35896, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 22600, 68, 30813, 289, 1078, 204, 204, 676, 46940, 13, 3295, 2108, 330, 204, 264, 320, 204, 264, 11699, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 21706, 322, 2107, 330, 2266, 275, 1650, 353, 292, 5344, 2291, 19, 204, 264, 320, 204, 264, 21706, 289, 959, 204, 204, 676, 21043, 2108, 13, 3295, 2108, 330, 204, 264, 320, 204, 264, 21043, 1586, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 21706, 322, 2107, 330, 2266, 275, 1650, 353, 292, 5344, 2291, 19, 204, 264, 320, 204, 264, 21706, 289, 1078, 204, 0, 647, 2010, 448, 645, 204, 531, 1498, 532, 1884, 17, 1535, 204, 204, 461, 949, 68, 2393, 68, 8582, 13, 204, 264, 610, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 24969, 31, 645, 19, 766, 204, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 744, 204, 264, 320, 204, 264, 888, 275, 1672, 1869, 329, 6951, 302, 469, 1019, 348, 848, 2220, 610, 700, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 1309, 31, 10402, 302, 610, 1019, 19, 204, 268, 469, 68, 1309, 31, 10402, 302, 469, 1019, 19, 204, 268, 24969, 31, 10402, 302, 24969, 1376, 311, 636, 848, 424, 917, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 302, 322, 93, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 14, 1273, 610, 353, 437, 1348, 302, 2220, 610, 1019, 17, 204, 268, 469, 68, 3037, 353, 437, 1348, 302, 1672, 1869, 469, 1019, 17, 469, 68, 3960, 353, 437, 1348, 302, 1672, 2599, 204, 268, 5432, 302, 469, 1019, 17, 329, 1113, 68, 35442, 529, 275, 1113, 542, 302, 4858, 24969, 1376, 204, 268, 311, 3953, 848, 424, 917, 19, 204, 264, 320, 204, 264, 314, 763, 2220, 610, 1019, 204, 264, 2220, 68, 93, 68, 1309, 289, 645, 19, 5271, 13, 93, 68, 1309, 14, 204, 204, 264, 314, 977, 6946, 311, 1640, 1563, 204, 264, 469, 68, 8763, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 469, 68, 48871, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 1113, 68, 35442, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 339, 2562, 14, 204, 204, 264, 314, 1861, 1048, 2220, 610, 1019, 204, 264, 348, 296, 17, 610, 292, 3209, 13, 5271, 68, 93, 68, 1309, 330, 204, 268, 314, 763, 3265, 302, 469, 1019, 3310, 311, 790, 610, 700, 204, 268, 6849, 88, 289, 610, 68, 1309, 564, 610, 204, 822, 268, 314, 763, 469, 1019, 329, 24969, 348, 790, 610, 700, 204, 268, 26025, 289, 469, 68, 1309, 64, 25260, 66, 204, 268, 26555, 289, 24969, 64, 25260, 66, 204, 204, 268, 314, 888, 1672, 1869, 329, 2599, 5432, 204, 268, 469, 68, 8763, 64, 78, 66, 289, 645, 19, 3037, 13, 1286, 14, 204, 268, 469, 68, 48871, 64, 78, 66, 289, 645, 19, 3960, 13, 1286, 17, 29302, 522, 34, 22, 14, 226, 314, 1974, 29302, 522, 34, 22, 348, 1672, 2599, 5432, 204, 268, 1113, 68, 35442, 64, 78, 66, 289, 645, 19, 1303, 13, 853, 14, 204, 204, 264, 407, 2220, 68, 93, 68, 1309, 17, 469, 68, 8763, 17, 469, 68, 48871, 17, 1113, 68, 35442, 204, 204, 204, 461, 949, 68, 16145, 68, 16130, 68, 8582, 13, 204, 264, 610, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1309, 31, 645, 19, 766, 17, 716, 264, 9115, 31, 645, 19, 766, 17, 716, 264, 24969, 31, 645, 19, 766, 204, 14, 393, 1884, 64, 1123, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 17, 645, 19, 766, 744, 204, 264, 320, 204, 264, 888, 275, 6276, 18, 16130, 6951, 302, 469, 1019, 348, 848, 2220, 610, 700, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 1309, 31, 10402, 302, 610, 1019, 19, 204, 268, 469, 68, 1309, 31, 10402, 302, 469, 1019, 19, 204, 268, 9115, 31, 10402, 302, 2599, 17654, 292, 469, 1019, 19, 204, 268, 24969, 31, 10402, 302, 24969, 1376, 311, 636, 848, 424, 917, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 302, 322, 93, 17, 469, 68, 3037, 17, 469, 68, 3960, 17, 1113, 68, 35442, 14, 1273, 610, 353, 437, 1348, 302, 2220, 610, 1019, 17, 204, 268, 469, 68, 3037, 353, 437, 1348, 302, 6276, 18, 16130, 6951, 469, 1019, 17, 469, 68, 3960, 353, 437, 1348, 302, 204, 268, 6276, 18, 16130, 6951, 302, 469, 1019, 17, 329, 1113, 68, 35442, 529, 275, 1113, 542, 302, 4858, 204, 268, 24969, 1376, 311, 3953, 848, 424, 917, 19, 204, 264, 320, 204, 264, 314, 763, 2220, 610, 1019, 204, 264, 2220, 68, 93, 68, 1309, 289, 645, 19, 5271, 13, 93, 68, 1309, 14, 204, 204, 264, 314, 977, 6946, 311, 1640, 1563, 204, 264, 469, 68, 8763, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 469, 68, 48871, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 996, 2562, 14, 204, 264, 1113, 68, 35442, 289, 645, 19, 4324, 68, 4995, 13, 5271, 68, 93, 68, 1309, 17, 4798, 34, 1123, 19, 339, 2562, 14, 204, 204, 264, 314, 1861, 1048, 2220, 610, 1019, 204, 264, 348, 296, 17, 610, 292, 3209, 13, 5271, 68, 93, 68, 1309, 330, 204, 268, 314, 763, 3265, 302, 469, 1019, 3310, 311, 790, 610, 700, 204, 268, 6849, 88, 289, 610, 68, 1309, 564, 610, 204, 822, 268, 314, 763, 469, 1019, 17, 9115, 1019, 17, 329, 24969, 348, 790, 610, 700, 204, 268, 26025, 289, 469, 68, 1309, 64, 25260, 66, 204, 268, 32200, 289, 9115, 64, 25260, 66, 204, 268, 26555, 289, 24969, 64, 25260, 66, 204, 204, 268, 314, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 241, 6882, 11480, 243, 11480, 239, 2677, 8356, 3964, 2653, 204, 11264, 990, 18889, 6882, 11480, 243, 11480, 239, 1001, 36534, 1262, 2337, 408, 11204, 1002, 5522, 14927, 408, 46668, 854, 22510, 460, 990, 3500, 3964, 18889, 7960, 3964, 18889, 8356, 3964, 18889, 1001, 17062, 460, 990, 18889, 3964, 1001, 20469, 17486, 408, 204, 9219, 14523, 3622, 1984, 226, 8075, 21826, 460, 990, 1871, 11198, 7442, 128, 45334, 4138, 1001, 33630, 7442, 128, 45334, 226, 381, 239, 10818, 6882, 11480, 243, 11480, 239, 204, 19532, 11480, 247, 7442, 260, 47495, 44339, 14781, 5173, 7442, 123, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 2677, 35294, 10086, 14781, 2402, 7960, 3964, 1111, 568, 2653, 204, 11277, 111, 11277, 257, 33630, 11277, 236, 47593, 5103, 7442, 241, 6882, 11480, 243, 7442, 102, 7442, 105, 7442, 239, 11480, 237, 725, 4294, 7442, 117, 7442, 110, 1490, 7442, 243, 568, 204, 2677, 8356, 3964, 11713, 40638, 27007, 8794, 568, 2653, 204, 4239, 5579, 7395, 7442, 102, 7442, 259, 34272, 44339, 725, 4895, 5579, 1191, 14731, 261, 7442, 129, 6882, 11480, 243, 11480, 239, 7442, 103, 11480, 230, 11480, 238, 7442, 260, 568, 204, 2677, 1390, 5579, 7395, 14081, 2853, 408, 38450, 46463, 5579, 7799, 3964, 568, 22856, 44339, 11480, 232, 7442, 102, 7442, 107, 5532, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 11277, 245, 11480, 127, 11480, 117, 47004, 7442, 240, 18865, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 11480, 237, 15428, 14374, 7442, 252, 11480, 239, 1001, 47593, 11480, 113, 11277, 109, 11277, 231, 11480, 113, 43774, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 381, 246, 4384, 47593, 7442, 239, 7442, 245, 7442, 105, 725, 11480, 232, 7442, 102, 7442, 107, 7442, 238, 452, 129, 47593, 8746, 35842, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 2677, 5562, 1111, 3977, 1377, 12502, 408, 24554, 2499, 10088, 2455, 8746, 3964, 1111, 568, 2653, 204, 11480, 129, 11277, 244, 11480, 117, 47593, 7403, 35842, 6882, 11480, 243, 7442, 102, 7442, 259, 11480, 237, 725, 11423, 6331, 7442, 110, 755, 125, 7442, 102, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 990, 450, 256, 7442, 239, 7442, 245, 1001, 2968, 25253, 8075, 990, 6776, 3500, 408, 6878, 41472, 3500, 3964, 19774, 6681, 1262, 25415, 5463, 15208, 16229, 9184, 408, 4987, 990, 16492, 45134, 1001, 37251, 568, 29362, 2499, 990, 450, 256, 7442, 239, 7442, 245, 1001, 14927, 1579, 22510, 460, 990, 450, 256, 1524, 45134, 6681, 14407, 990, 7799, 1524, 45134, 460, 5103, 17708, 7960, 1524, 45134, 460, 13951, 1001, 17062, 5957, 14523, 568, 204, 990, 450, 256, 7442, 239, 7442, 245, 1001, 36534, 1262, 2337, 408, 1456, 28049, 1871, 11198, 460, 990, 7442, 128, 45334, 4138, 1001, 10464, 408, 10434, 990, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 17708, 5173, 7442, 123, 7442, 239, 7442, 245, 1001, 13688, 3028, 11198, 568, 15289, 3865, 990, 450, 256, 7442, 239, 7442, 245, 11480, 239, 1001, 16229, 408, 10434, 990, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 11480, 239, 17708, 5173, 7442, 123, 7442, 239, 7442, 245, 11480, 239, 1001, 17062, 460, 21574, 1871, 11198, 568, 204, 24159, 7335, 19517, 9466, 4197, 1191, 408, 1674, 1811, 990, 450, 256, 7442, 105, 35842, 11480, 239, 1001, 36534, 1262, 2337, 408, 2336, 20469, 1227, 990, 450, 256, 7442, 239, 7442, 245, 1001, 2675, 6308, 408, 2780, 1955, 12603, 1456, 10144, 1438, 3977, 17535, 9978, 18889, 204, 1871, 11198, 7442, 128, 45334, 4138, 226, 33630, 7442, 128, 45334, 226, 381, 239, 226, 7442, 239, 7442, 245, 10818, 30931, 450, 256, 204, 1871, 11198, 7442, 128, 45334, 4138, 226, 33630, 7442, 128, 45334, 226, 381, 239, 7442, 239, 7442, 245, 11480, 239, 204, 8188, 13843, 119, 10398, 7442, 110, 7442, 230, 11480, 239, 9058, 7442, 129, 7442, 239, 7442, 245, 30931, 11277, 247, 33630, 11277, 110, 47593, 22201, 7442, 105, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 1024, 248, 14515, 19260, 47889, 3362, 16749, 1524, 45134, 460, 44436, 568, 7442, 247, 30931, 34272, 44339, 7442, 128, 7442, 260, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 7442, 260, 568, 204, 2677, 1438, 2183, 34272, 4770, 7799, 1524, 45134, 568, 2653, 204, 11277, 243, 47004, 11277, 244, 33630, 11480, 111, 33630, 47593, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 241, 7442, 110, 725, 1390, 2591, 7442, 239, 11480, 237, 14735, 7442, 240, 1550, 7442, 259, 568, 204, 2677, 12232, 26085, 7960, 1524, 45134, 8728, 408, 1390, 2591, 47954, 32085, 568, 2653, 204, 11480, 232, 11480, 238, 7442, 239, 7442, 245, 7442, 259, 7442, 247, 7442, 107, 47593, 725, 7442, 249, 7442, 102, 7442, 249, 7442, 107, 8088, 7442, 249, 7442, 255, 7442, 109, 7442, 249, 35842, 4134, 204, 2780, 12665, 1674, 27930, 990, 1871, 11198, 7442, 105, 4138, 381, 239, 35842, 11480, 239, 1001, 1262, 2337, 408, 2657, 1227, 990, 450, 256, 7442, 239, 7442, 245, 1001, 10236, 7474, 568, 3977, 2449, 22664, 8075, 990, 42986, 19418, 16492, 45134, 1001, 37251, 408, 19759, 20681, 2657, 6366, 7712, 725, 20469, 8221, 942, 6325, 6650, 11679, 408, 11448, 7617, 38213, 10073, 27082, 1984, 204, 14731, 261, 7442, 129, 7442, 239, 7442, 245, 7442, 259, 2183, 47593, 22856, 7442, 110, 14127, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 11319, 2218, 831, 2183, 1527, 7799, 1524, 45134, 460, 5103, 568, 2653, 204, 7442, 128, 7442, 260, 14731, 261, 11480, 247, 47099, 35842, 11480, 239, 7442, 257, 30931, 2183, 47593, 22856, 7442, 110, 14127, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 11319, 2218, 831, 2183, 1527, 12703, 7799, 460, 5103, 568, 2653, 204, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 11480, 115, 33630, 11480, 261, 47593, 8188, 13843, 119, 10398, 7442, 110, 2739, 11480, 240, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 2499, 7960, 1524, 45134, 460, 47809, 4224, 1899, 47889, 1191, 568, 2653, 204, 7442, 128, 7442, 260, 5173, 7442, 123, 6882, 11480, 243, 7442, 102, 7442, 105, 35842, 7442, 109, 35842, 7442, 257, 30931, 11480, 115, 33630, 11480, 261, 47593, 8188, 13843, 119, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10398, 7442, 110, 2739, 11480, 240, 7442, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 2499, 22515, 41472, 7960, 3964, 460, 47809, 4224, 1899, 47889, 1191, 568, 2653, 204, 7466, 408, 2657, 26508, 14927, 1579, 1984, 204, 5103, 7442, 241, 7442, 239, 7442, 245, 30931, 3304, 9826, 47593, 1670, 43774, 105, 43774, 128, 7442, 102, 7442, 259, 568, 204, 2677, 1002, 34163, 23860, 13733, 8356, 1524, 45134, 460, 2868, 568, 2653, 204, 7442, 247, 30931, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 11480, 119, 11277, 108, 11277, 228, 44339, 15276, 30931, 47099, 45334, 7442, 239, 3812, 204, 2677, 5002, 7960, 1524, 45134, 460, 12147, 6969, 854, 15276, 460, 3812, 2653, 204, 22856, 5282, 7442, 240, 13956, 11480, 240, 7442, 239, 7442, 245, 7442, 259, 1398, 725, 13507, 44339, 22856, 5282, 30931, 43103, 47593, 7442, 103, 7442, 239, 11480, 247, 47099, 725, 204, 10694, 35842, 47099, 13517, 10694, 3068, 47593, 14870, 11480, 247, 7442, 260, 568, 204, 2677, 921, 6079, 4565, 1345, 13956, 1926, 1398, 408, 1527, 32015, 21517, 3304, 33924, 408, 10694, 18951, 13265, 1111, 13517, 4831, 3068, 568, 2653, 204, 7544, 7442, 249, 11480, 247, 7442, 240, 25887, 11480, 238, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 241, 725, 39337, 7442, 110, 3028, 2426, 47593, 14870, 7442, 114, 11480, 240, 7442, 259, 568, 204, 2677, 921, 7544, 15600, 4565, 1345, 16869, 3013, 8728, 408, 3944, 39337, 13265, 7756, 12080, 568, 2653, 204, 13507, 7442, 240, 4172, 47099, 3591, 124, 11480, 240, 7442, 239, 7442, 245, 7442, 259, 7442, 107, 7442, 247, 11480, 241, 47593, 725, 22856, 7442, 240, 4828, 7442, 245, 7442, 105, 7442, 243, 11480, 240, 7442, 259, 568, 204, 2677, 30670, 4172, 3362, 4565, 3591, 124, 2321, 8728, 408, 2218, 13517, 1111, 1527, 568, 2653, 204, 7925, 25887, 11480, 238, 3523, 170, 125, 101, 43774, 105, 725, 11422, 7442, 234, 7442, 243, 11509, 7442, 110, 7442, 239, 7442, 245, 7442, 259, 568, 204, 2677, 28923, 4348, 15712, 240, 16869, 28923, 44946, 408, 7658, 15208, 1970, 3468, 6897, 1111, 568, 2653, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 36534, 1262, 2337, 408, 40765, 22510, 460, 990, 11583, 18889, 6681, 8777, 8075, 990, 11583, 3500, 3964, 9317, 3606, 21826, 6681, 14407, 990, 11583, 7893, 1111, 27741, 725, 14328, 11583, 11095, 4402, 1111, 1001, 17062, 5957, 14523, 568, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 7931, 1456, 1227, 990, 1871, 11198, 7442, 128, 45334, 4138, 1001, 10236, 3865, 408, 10434, 990, 6553, 11480, 238, 7442, 241, 11480, 239, 725, 1670, 43774, 241, 11480, 239, 1001, 13688, 21574, 1871, 11198, 408, 8075, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 2356, 2879, 408, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 9189, 15881, 3606, 5146, 7796, 20469, 408, 4987, 2657, 8075, 990, 5881, 4907, 12682, 6681, 11448, 4226, 23537, 408, 18824, 46668, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 1550, 14927, 17486, 408, 204, 9219, 14523, 3622, 1984, 10818, 1871, 11198, 7442, 128, 45334, 4138, 33630, 7442, 128, 45334, 226, 381, 239, 226, 7442, 241, 11480, 239, 204, 990, 19048, 27449, 1001, 7442, 107, 35842, 7442, 234, 34272, 47593, 43224, 1565, 7442, 239, 7442, 245, 7442, 105, 14731, 261, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 5562, 9486, 1565, 4384, 408, 26043, 7799, 3964, 1111, 19048, 27449, 1438, 2183, 34272, 568, 2653, 204, 7442, 247, 11480, 247, 7442, 109, 2382, 7442, 249, 35842, 3068, 725, 2014, 3012, 2739, 11480, 238, 7442, 241, 11480, 240, 7442, 109, 35842, 11480, 236, 568, 204, 2677, 16497, 20665, 3068, 408, 10904, 14781, 6155, 2402, 41048, 30749, 568, 2653, 5490, 4138, 1262, 2337, 990, 7442, 241, 11480, 240, 11480, 239, 1001, 204, 7442, 247, 11480, 247, 7442, 109, 13665, 232, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 4276, 725, 5284, 7442, 105, 35842, 7442, 105, 1326, 251, 1789, 7442, 240, 11480, 236, 7442, 243, 7442, 109, 11480, 239, 568, 204, 2677, 7986, 4709, 17270, 460, 40642, 408, 39672, 9238, 33367, 1456, 3796, 2174, 568, 22856, 44339, 1902, 1789, 7442, 240, 3429, 37378, 35842, 7442, 107, 7174, 35842, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 2218, 3964, 11583, 2014, 18260, 39389, 3994, 854, 31186, 568, 2653, 204, 18721, 44339, 725, 26807, 11480, 240, 7442, 241, 7442, 102, 7442, 105, 8333, 7442, 239, 11480, 237, 988, 114, 7442, 102, 7442, 105, 7442, 241, 7442, 259, 568, 204, 3181, 120, 11277, 247, 33630, 11277, 110, 47593, 9058, 7442, 129, 7442, 241, 7442, 102, 7442, 259, 568, 204, 7442, 257, 30931, 7442, 247, 7442, 107, 44339, 15276, 47099, 11480, 230, 11480, 243, 7442, 239, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 2730, 646, 259, 7442, 260, 568, 204, 2677, 3878, 28987, 854, 26044, 2402, 26043, 25316, 12265, 2094, 568, 2653, 204, 7442, 109, 11480, 247, 7442, 107, 7442, 239, 7442, 257, 30931, 15051, 47593, 27853, 7442, 242, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 4262, 42191, 26043, 4294, 3964, 3878, 4906, 8627, 1111, 568, 2653, 204, 1902, 1789, 7442, 259, 7442, 100, 30931, 3617, 7442, 102, 7442, 105, 35842, 11480, 239, 2034, 47593, 4623, 1990, 47099, 1670, 43774, 241, 11480, 240, 7442, 114, 725, 204, 7442, 241, 7442, 102, 7442, 107, 11457, 7442, 105, 7442, 128, 45334, 11480, 236, 568, 204, 2677, 14037, 2499, 7413, 19598, 26043, 14034, 921, 43190, 408, 7191, 6899, 12910, 31590, 568, 2653, 204, 15387, 13522, 7442, 249, 11480, 247, 44339, 22856, 30931, 7442, 247, 7442, 107, 47593, 2868, 7442, 252, 7442, 241, 7442, 102, 7442, 105, 35842, 7442, 259, 568, 204, 13409, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 21044, 30931, 21208, 47593, 3429, 43774, 105, 7442, 243, 7442, 260, 7442, 249, 35842, 568, 204, 2677, 4796, 3883, 3429, 6225, 26043, 13409, 12515, 460, 21044, 21208, 568, 2653, 204, 26807, 11480, 240, 7442, 241, 7442, 102, 7442, 105, 35842, 7442, 259, 7442, 240, 725, 2014, 3036, 25887, 11480, 240, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 2677, 10282, 6225, 12510, 1524, 1002, 1490, 1111, 408, 6878, 7441, 11583, 16869, 1002, 3013, 568, 2653, 204, 990, 450, 256, 7442, 241, 11480, 239, 1001, 15289, 3865, 990, 1871, 11198, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5490, 4138, 1001, 460, 31925, 990, 450, 256, 7442, 241, 11480, 240, 11480, 239, 6681, 11448, 7931, 42498, 7479, 2093, 31925, 990, 450, 256, 7442, 241, 11480, 240, 7442, 109, 35842, 6681, 8075, 990, 10904, 11583, 18889, 725, 10904, 26043, 18889, 1001, 37251, 408, 204, 22856, 5282, 30931, 7442, 247, 7442, 107, 47593, 2492, 255, 11480, 229, 7442, 241, 11480, 240, 7442, 109, 35842, 568, 204, 7442, 247, 30931, 11480, 232, 11480, 238, 1740, 7442, 247, 7442, 257, 3429, 37378, 35842, 7442, 107, 7174, 35842, 7442, 241, 11480, 240, 11480, 239, 568, 204, 2677, 16497, 20665, 3068, 408, 10904, 14781, 6155, 2402, 41048, 30749, 568, 2653, 204, 7442, 247, 30931, 2698, 8428, 7442, 110, 2642, 7442, 236, 7442, 241, 11480, 240, 7442, 109, 35842, 7442, 125, 7442, 108, 30931, 4384, 47593, 3856, 11480, 232, 43774, 259, 568, 204, 2677, 36534, 9516, 36984, 1111, 2642, 2356, 1002, 7893, 15563, 568, 2653, 204, 990, 450, 256, 7442, 111, 7442, 243, 1001, 36534, 1262, 2337, 37251, 408, 1227, 10020, 4770, 10144, 460, 990, 450, 256, 7442, 241, 11480, 239, 1001, 13764, 35458, 408, 18824, 31244, 990, 11583, 18889, 1001, 460, 5957, 3464, 408, 6878, 5890, 33105, 20679, 1984, 204, 40765, 22510, 460, 990, 3964, 11583, 2014, 18889, 725, 26043, 18889, 1001, 204, 40765, 22510, 460, 990, 18889, 10852, 1524, 10747, 1001, 204, 23206, 113, 10818, 43224, 46995, 46995, 11480, 261, 11277, 261, 30931, 11277, 258, 11277, 108, 11480, 127, 47004, 47593, 6553, 11480, 238, 7442, 241, 7442, 102, 7442, 259, 568, 204, 23206, 113, 10818, 19532, 11480, 247, 7442, 260, 14409, 2591, 47593, 14781, 5173, 7442, 123, 7442, 241, 7442, 102, 7442, 259, 568, 204, 2677, 2499, 35294, 14409, 2591, 11583, 7960, 3964, 568, 10818, 19532, 11480, 247, 7442, 260, 14409, 2591, 47593, 14781, 5173, 7442, 123, 7442, 111, 35842, 7442, 259, 568, 204, 12994, 10220, 450, 256, 7442, 111, 7442, 243, 1001, 1886, 1227, 990, 450, 256, 7442, 241, 11480, 239, 1001, 10368, 408, 13987, 1254, 21574, 1871, 11198, 34498, 7363, 408, 14407, 990, 4256, 7442, 236, 7442, 111, 35842, 7442, 259, 17708, 6553, 11480, 238, 7442, 111, 35842, 7442, 259, 1001, 17062, 18889, 204, 9219, 14523, 3622, 1984, 10818, 1871, 11198, 7442, 128, 45334, 4138, 33630, 7442, 128, 45334, 226, 381, 239, 7442, 111, 7442, 243, 204, 11480, 118, 33630, 11277, 110, 7442, 128, 47099, 6553, 11480, 238, 7442, 111, 35842, 7442, 259, 568, 204, 2117, 127, 6496, 11480, 238, 7442, 111, 35842, 7442, 259, 7442, 240, 725, 3455, 5556, 2436, 7442, 110, 1990, 11480, 243, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 2677, 10282, 12821, 1524, 10747, 408, 6878, 10858, 7617, 1550, 42081, 568, 2653, 204, 7442, 247, 11480, 240, 44339, 3283, 11277, 120, 2903, 4256, 7442, 236, 7442, 111, 35842, 7442, 259, 44250, 47099, 45334, 568, 204, 2677, 9536, 11035, 3283, 14881, 34240, 10747, 460, 44250, 35627, 5110, 6510, 10720, 10706, 13911, 44250, 568, 2653, 204, 7442, 108, 11480, 247, 7442, 109, 7442, 110, 5522, 43774, 243, 7442, 105, 11480, 230, 725, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 7442, 103, 11480, 230, 11480, 238, 7442, 260, 568, 204, 2677, 14752, 4762, 10943, 45706, 408, 1527, 2402, 3730, 12821, 1524, 10747, 568, 2653, 204, 44219, 22965, 6897, 2117, 127, 6496, 7442, 102, 7442, 259, 7442, 240, 725, 3455, 5556, 2436, 7442, 110, 1990, 11480, 243, 7442, 109, 7442, 239, 7442, 102, 7442, 259, 568, 204, 7442, 247, 11480, 240, 44339, 3283, 11277, 120, 2903, 44219, 22965, 6897, 4256, 7442, 236, 7442, 259, 44250, 47099, 45334, 568, 204, 2677, 9536, 11035, 3283, 14881, 17271, 6897, 12198, 13911, 44250, 568, 2653, 204, 7442, 247, 30931, 14661, 44339, 2117, 127, 6496, 11480, 238, 7442, 111, 35842, 7442, 259, 4001, 47099, 45334, 568, 204, 2677, 5002, 14661, 4987, 2766, 12821, 1524, 10747, 460, 16325, 568, 2653, 204, 22856, 5282, 44339, 381, 246, 7442, 103, 30931, 7221, 1251, 755, 105, 47593, 1401, 7442, 241, 7442, 111, 35842, 7442, 259, 568, 204, 2677, 6079, 921, 29946, 7221, 48378, 1191, 2402, 28308, 1524, 10747, 35627, 42159, 1111, 29946, 7221, 48378, 568, 2653, 204, 1353, 124, 44339, 755, 105, 6642, 7442, 107, 43774, 105, 10747, 7442, 128, 47099, 755, 105, 35842, 7442, 111, 7442, 243, 568, 204, 7442, 247, 11480, 240, 44339, 13507, 7442, 240, 4256, 7442, 236, 7442, 111, 35842, 7442, 105, 1670, 43774, 259, 44250, 7442, 260, 568, 204, 2677, 9536, 1527, 12821, 21641, 1524, 10747, 36148, 13934, 44250, 568, 2653, 204, 990, 450, 256, 7442, 111, 7442, 243, 1001, 7931, 1456, 1262, 921, 990, 12821, 13572, 1524, 10747, 1001, 12816, 408, 7466, 35329, 4265, 990, 12821, 725, 13572, 1001, 20469, 460, 5957, 14523, 408, 3865, 990, 450, 256, 7442, 111, 7442, 243, 1001, 12562, 28560, 7474, 1002, 9754, 568, 204, 23206, 113, 10818, 5522, 37378, 35842, 581, 249, 2730, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 16553, 13423, 3500, 3964, 568, 10818, 11277, 258, 47004, 11480, 111, 47593, 14731, 261, 7442, 129, 7442, 111, 7442, 243, 568, 204, 23206, 113, 10818, 7442, 257, 11480, 240, 7442, 110, 171, 250, 101, 45334, 11480, 239, 18014, 47593, 14731, 261, 7442, 129, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 24805, 42806, 7799, 1524, 10747, 568, 2653, 204, 10621, 117, 10818, 11277, 234, 11277, 111, 11277, 247, 11480, 116, 33630, 11277, 260, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 17853, 12821, 8794, 1524, 10747, 568, 2653, 204, 23206, 113, 10818, 3977, 11277, 120, 2903, 7442, 110, 11480, 243, 7442, 259, 11480, 239, 11277, 251, 11277, 261, 11480, 122, 11480, 106, 11480, 113, 11277, 236, 47593, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 568, 204, 2677, 2499, 2564, 4144, 3977, 14881, 460, 3293, 5011, 12821, 3590, 1524, 10747, 568, 2653, 204, 46166, 10818, 8075, 40036, 8088, 9317, 2730, 1398, 408, 7931, 3865, 990, 450, 256, 6882, 11480, 243, 11480, 239, 8464, 204, 23206, 113, 10818, 11480, 238, 11480, 247, 7442, 248, 47593, 5173, 7442, 123, 7442, 239, 7442, 245, 7442, 259, 568, 204, 23206, 113, 10818, 5173, 7442, 123, 7442, 239, 7442, 245, 30931, 11480, 238, 11480, 247, 7442, 248, 568, 204, 20985, 101, 10818, 8075, 990, 3964, 11583, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2014, 725, 831, 22245, 1002, 22467, 725, 14781, 4484, 4402, 1001, 40422, 1398, 408, 204, 23206, 113, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 43774, 241, 7442, 102, 7442, 259, 568, 204, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 37378, 6882, 11480, 243, 7442, 102, 7442, 259, 568, 204, 10818, 11480, 230, 7442, 234, 2034, 47593, 1670, 43774, 111, 35842, 7442, 259, 568, 204, 2677, 6225, 2678, 1670, 14781, 460, 2034, 3464, 1111, 568, 2653, 204, 23206, 113, 10818, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 7442, 111, 7442, 243, 7442, 103, 11480, 230, 11480, 238, 47099, 45334, 568, 204, 10818, 10747, 7442, 128, 47099, 11480, 232, 11480, 238, 6882, 11480, 243, 11480, 239, 7442, 103, 11480, 230, 11480, 238, 47099, 45334, 568, 0, 47903, 12425, 1565, 30, 2903, 6776, 408, 42749, 460, 990, 9366, 1116, 9366, 1999, 1001, 20315, 15244, 10700, 408, 13764, 21596, 18196, 42749, 21127, 3941, 12644, 12164, 10332, 13265, 13375, 1002, 43443, 408, 23060, 854, 15103, 2544, 7756, 408, 10961, 43697, 3064, 3136, 27102, 42749, 725, 44954, 22858, 568, 11204, 35519, 11952, 1456, 1111, 11069, 9366, 1116, 9366, 1999, 884, 4134, 9366, 1116, 9366, 1999, 17413, 2853, 3675, 42749, 31036, 1111, 3429, 19667, 408, 854, 42749, 4769, 7080, 3183, 45012, 12644, 14609, 408, 14609, 9238, 6744, 5522, 3500, 408, 17202, 17584, 26562, 4134, 226, 3429, 23766, 42749, 460, 20315, 921, 40861, 460, 3796, 408, 7044, 4404, 42749, 9934, 460, 13032, 7059, 4126, 2849, 13391, 1951, 6949, 408, 1603, 42749, 21127, 14590, 8957, 8767, 18906, 12547, 9603, 1111, 2188, 17150, 8915, 460, 21938, 408, 13764, 21938, 854, 5584, 6897, 460, 408, 24378, 1002, 8915, 12562, 3675, 21127, 5216, 3500, 5216, 9416, 1946, 408, 10961, 2051, 11847, 46731, 2402, 7416, 1002, 7756, 4134, 226, 4525, 7224, 2014, 8706, 460, 21127, 14590, 13032, 9238, 408, 28, 18, 1909, 2773, 15699, 5227, 2822, 1951, 7296, 17490, 4287, 1524, 44364, 408, 5277, 46952, 2453, 30118, 921, 1926, 9784, 11753, 31461, 2638, 408, 19759, 30118, 2657, 7689, 7689, 460, 8494, 921, 44364, 4134, 226, 7617, 3878, 28156, 1984, 42749, 3079, 1398, 3079, 10135, 29726, 11679, 4134, 35411, 8547, 1390, 42749, 460, 47726, 22447, 36135, 22347, 408, 7224, 2570, 23412, 13032, 408, 3500, 2570, 6444, 13172, 460, 2704, 5201, 4134, 204, 0, 647, 1437, 204, 531, 1437, 532, 2976, 17, 2839, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 204, 531, 15397, 532, 8112, 204, 204, 531, 1485, 532, 14924, 5030, 204, 531, 570, 532, 23348, 19965, 204, 531, 13703, 532, 1295, 7700, 204, 204, 8, 968, 3454, 204, 10710, 68, 2956, 31, 421, 289, 7328, 204, 14710, 31, 421, 289, 931, 204, 18290, 68, 9572, 31, 818, 289, 500, 19, 7585, 204, 204, 461, 838, 68, 481, 68, 4072, 374, 393, 8112, 19, 16612, 31, 204, 264, 320, 204, 264, 666, 273, 424, 6220, 6704, 19, 204, 204, 264, 475, 31, 204, 268, 8112, 19, 16612, 31, 332, 12593, 302, 424, 13228, 19, 204, 264, 320, 204, 264, 314, 968, 424, 6220, 204, 264, 407, 8112, 19, 16612, 1568, 204, 268, 8112, 19, 40794, 3782, 13, 920, 68, 1420, 68, 4588, 34, 22, 659, 204, 268, 8112, 19, 30407, 13, 2051, 659, 204, 268, 8112, 19, 22604, 2144, 204, 268, 8112, 19, 25726, 1802, 21, 18671, 322, 22, 41441, 204, 264, 9174, 204, 204, 461, 1137, 68, 481, 13, 4072, 31, 8112, 19, 16612, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1485, 329, 838, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 3204, 322, 13558, 19, 16612, 330, 332, 12593, 302, 424, 13228, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 424, 18173, 348, 951, 17, 683, 17, 329, 3587, 3416, 19, 204, 264, 320, 204, 264, 314, 1385, 1485, 329, 838, 424, 18173, 204, 264, 1485, 289, 14924, 5030, 13, 4072, 14, 204, 264, 6835, 289, 1485, 19, 1219, 68, 804, 68, 2182, 13, 21, 19, 23, 17, 500, 19, 22, 14, 204, 264, 44756, 289, 463, 204, 268, 610, 31, 8641, 13, 8271, 64, 93, 648, 20476, 68, 2956, 17, 8062, 34, 1021, 17, 771, 68, 8938, 34, 21, 17, 5790, 68, 2391, 34, 1021, 14, 204, 268, 348, 610, 292, 2470, 1219, 491, 379, 804, 491, 379, 577, 839, 204, 264, 1211, 204, 264, 407, 44756, 204, 204, 461, 951, 68, 809, 13, 204, 264, 570, 31, 2839, 19, 3732, 17, 716, 264, 2322, 31, 1437, 19, 3075, 17, 716, 264, 44756, 31, 1135, 17, 716, 264, 9616, 31, 2839, 19, 24987, 17, 716, 264, 4209, 31, 2976, 19, 12967, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 444, 6020, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 951, 275, 570, 523, 19, 204, 268, 44756, 322, 873, 330, 332, 955, 1174, 424, 18173, 348, 951, 17, 683, 17, 329, 3587, 3416, 19, 204, 268, 9616, 322, 2606, 19, 24987, 330, 334, 2210, 741, 19, 204, 268, 4209, 322, 4647, 19, 12967, 330, 334, 4209, 19, 204, 264, 320, 204, 264, 570, 19, 1219, 374, 204, 264, 10418, 289, 1306, 204, 264, 4436, 68, 2650, 289, 500, 19, 21, 204, 264, 679, 68, 5951, 289, 500, 204, 204, 264, 314, 2672, 275, 570, 348, 273, 1713, 542, 302, 6175, 204, 264, 348, 3741, 292, 933, 13, 14710, 330, 204, 268, 348, 296, 17, 424, 292, 3209, 13, 73, 34122, 736, 1219, 2043, 500, 330, 204, 305, 679, 68, 5951, 1412, 368, 204, 204, 305, 314, 763, 3806, 329, 1769, 204, 305, 3806, 17, 1769, 289, 424, 736, 13475, 2043, 424, 736, 1676, 839, 204, 305, 3806, 289, 3806, 19, 633, 13, 3075, 14, 204, 204, 305, 314, 7628, 275, 11431, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 204, 305, 314, 9711, 1879, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 204, 305, 314, 8254, 1769, 348, 2210, 4183, 204, 305, 1769, 289, 1769, 19, 1529, 13, 10710, 68, 2956, 17, 338, 22, 789, 16916, 13, 22, 789, 5515, 1528, 633, 13, 3075, 14, 204, 204, 305, 314, 888, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2210, 204, 305, 2210, 289, 9616, 13, 7247, 19, 1529, 13, 10710, 68, 2956, 17, 338, 22, 659, 1769, 14, 204, 204, 305, 314, 24210, 1879, 204, 305, 2210, 19, 12242, 374, 204, 204, 305, 314, 1716, 570, 2072, 204, 305, 4209, 19, 2290, 374, 204, 204, 305, 314, 1716, 4436, 2210, 204, 305, 4436, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 204, 305, 314, 1198, 2210, 630, 4217, 7046, 204, 305, 397, 296, 1564, 931, 564, 500, 31, 204, 485, 10418, 19, 1223, 13, 10051, 68, 2650, 802, 931, 14, 204, 485, 456, 13, 75, 18380, 96, 4220, 1522, 463, 78, 11129, 2210, 31, 463, 12667, 3327, 22, 33984, 24, 75, 3501, 204, 485, 4436, 68, 2650, 289, 500, 19, 21, 204, 204, 305, 314, 4938, 570, 523, 3587, 758, 630, 4217, 7046, 204, 305, 397, 679, 68, 5951, 1564, 1607, 564, 500, 31, 204, 485, 13703, 19, 6844, 13, 73, 34122, 736, 577, 2378, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 424, 6220, 204, 264, 3204, 289, 838, 68, 481, 68, 4072, 374, 204, 204, 264, 314, 1385, 424, 204, 264, 44756, 289, 1137, 68, 481, 13, 4072, 14, 204, 204, 264, 314, 1198, 1485, 7539, 204, 264, 456, 13, 75, 1954, 1796, 13, 73, 34122, 736, 1219, 2378, 1522, 463, 1796, 13, 73, 34122, 736, 804, 2378, 1522, 463, 1796, 13, 73, 34122, 736, 577, 2378, 98, 2672, 17, 1295, 329, 11643, 30439, 431, 204, 204, 264, 314, 977, 570, 17, 2322, 17, 329, 4209, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 31, 21, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 431, 204, 264, 570, 289, 23348, 19965, 374, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 264, 9616, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 2976, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 18290, 68, 9572, 14, 204, 264, 4610, 13703, 716, 264, 13703, 289, 1295, 7700, 13, 3075, 17, 20476, 68, 2956, 17, 9616, 17, 570, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 951, 68, 809, 13, 809, 17, 2322, 17, 44756, 17, 9616, 17, 4209, 14, 204, 204, 264, 314, 4938, 570, 523, 683, 758, 204, 264, 13703, 19, 6844, 13, 73, 34122, 736, 804, 2378, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 461, 838, 68, 28276, 46461, 68, 2052, 13, 3173, 31, 421, 17, 2630, 31, 421, 17, 11447, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2605, 273, 46460, 46461, 2668, 440, 275, 800, 542, 302, 3015, 17, 2630, 17, 329, 11447, 1870, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 2668, 19, 204, 268, 2630, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 2668, 19, 204, 268, 11447, 322, 339, 330, 334, 11447, 1870, 302, 275, 2668, 322, 22, 17, 435, 17, 521, 571, 789, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 435, 41, 458, 2457, 275, 46460, 46461, 2668, 19, 204, 264, 320, 204, 264, 314, 968, 275, 542, 302, 23260, 1609, 523, 275, 11447, 1870, 204, 264, 14960, 68, 3115, 289, 463, 22, 31, 931, 17, 435, 31, 2846, 17, 571, 31, 10923, 98, 204, 264, 771, 68, 28276, 289, 14960, 68, 3115, 19, 505, 13, 22689, 17, 931, 14, 226, 314, 1540, 311, 931, 397, 11447, 353, 508, 1193, 204, 204, 264, 314, 666, 437, 1392, 2668, 204, 264, 2668, 289, 5787, 21, 348, 906, 292, 933, 13, 3786, 2395, 348, 906, 292, 933, 13, 3173, 2395, 204, 204, 264, 314, 20328, 2481, 23260, 523, 275, 2668, 204, 264, 23260, 68, 21320, 289, 500, 204, 264, 1335, 23260, 68, 21320, 962, 771, 68, 28276, 31, 204, 268, 1237, 289, 1400, 19, 5574, 13, 21, 17, 3015, 338, 368, 14, 204, 268, 734, 289, 1400, 19, 5574, 13, 21, 17, 2630, 338, 368, 14, 204, 268, 397, 2668, 64, 937, 1799, 982, 66, 2167, 338, 22, 31, 204, 305, 2668, 64, 937, 1799, 982, 66, 289, 338, 22, 204, 305, 23260, 68, 21320, 1412, 368, 204, 204, 264, 314, 1716, 275, 2668, 440, 14960, 4442, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 348, 781, 292, 933, 13, 3786, 330, 204, 305, 397, 2668, 64, 78, 1799, 79, 66, 2167, 338, 22, 31, 204, 485, 314, 3398, 275, 542, 302, 23260, 3332, 275, 790, 2092, 204, 485, 14960, 68, 765, 289, 1040, 68, 28276, 68, 21280, 13, 2052, 17, 296, 17, 781, 14, 204, 485, 2668, 64, 78, 1799, 79, 66, 289, 14960, 68, 765, 204, 204, 264, 407, 2668, 204, 204, 204, 461, 1040, 68, 28276, 68, 21280, 13, 2052, 31, 458, 17, 1237, 31, 421, 17, 734, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 23260, 3332, 275, 800, 2092, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 655, 330, 334, 46460, 46461, 2668, 19, 204, 268, 1237, 322, 339, 330, 334, 1237, 1112, 302, 275, 2092, 19, 204, 268, 734, 322, 339, 330, 334, 1837, 1112, 302, 275, 2092, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 23260, 3332, 275, 2092, 19, 204, 264, 320, 204, 264, 3015, 17, 10426, 289, 1245, 13, 2052, 659, 1245, 13, 2052, 64, 21, 694, 204, 264, 14960, 68, 765, 289, 500, 204, 264, 348, 296, 292, 933, 13, 1129, 13, 21, 17, 1237, 338, 368, 659, 1006, 13, 3173, 17, 1237, 465, 435, 4019, 204, 268, 348, 781, 292, 933, 13, 1129, 13, 21, 17, 734, 338, 368, 659, 1006, 13, 6103, 17, 734, 465, 435, 4019, 204, 305, 397, 322, 78, 17, 781, 14, 2167, 322, 937, 17, 734, 14, 329, 2668, 64, 78, 1799, 79, 66, 564, 338, 22, 31, 204, 485, 14960, 68, 765, 1412, 368, 204, 264, 407, 14960, 68, 765, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3015, 289, 931, 204, 264, 2630, 289, 931, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11447, 289, 435, 204, 264, 2668, 289, 838, 68, 28276, 46461, 68, 2052, 13, 3173, 17, 2630, 17, 11447, 14, 204, 264, 348, 1237, 292, 2668, 31, 204, 268, 456, 13, 937, 14, 204, 0, 647, 1127, 204, 531, 1498, 532, 1061, 204, 204, 676, 6408, 31, 204, 264, 320, 204, 264, 6408, 850, 348, 35269, 424, 3599, 1650, 19, 204, 204, 264, 1058, 850, 28382, 9289, 275, 1586, 2557, 348, 275, 1650, 17, 2864, 204, 264, 7450, 4997, 17, 1104, 329, 3599, 1987, 17, 711, 510, 17, 329, 904, 3600, 204, 264, 3695, 348, 21035, 8916, 424, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1586, 2557, 19, 204, 204, 268, 334, 2557, 529, 3271, 497, 1964, 2558, 19, 828, 275, 1964, 2558, 204, 268, 529, 508, 758, 17, 275, 1540, 1019, 529, 1376, 19, 204, 268, 320, 204, 268, 314, 1385, 7450, 4997, 497, 1964, 2558, 204, 268, 370, 19, 8946, 68, 2463, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 8737, 491, 8930, 204, 268, 370, 19, 8946, 68, 898, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 20521, 68, 7660, 491, 40158, 602, 204, 268, 370, 19, 8946, 68, 816, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 6520, 491, 8930, 204, 268, 370, 19, 8946, 68, 1989, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 20521, 68, 9778, 491, 8930, 204, 204, 268, 314, 5496, 329, 3599, 1987, 204, 268, 370, 19, 481, 68, 1479, 31, 394, 289, 388, 23923, 1270, 7, 204, 268, 370, 19, 481, 68, 5763, 31, 394, 289, 388, 23923, 8653, 7, 204, 204, 268, 314, 2175, 510, 204, 268, 370, 19, 761, 68, 553, 31, 394, 289, 388, 761, 19, 1775, 7, 204, 204, 268, 314, 4853, 3059, 3695, 311, 636, 8916, 424, 204, 268, 370, 19, 24899, 68, 481, 68, 4936, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 33750, 1452, 18944, 68, 6355, 68, 28425, 491, 368, 602, 204, 268, 370, 19, 1129, 68, 12768, 31, 421, 289, 421, 13, 865, 19, 4969, 19, 505, 611, 5605, 68, 41121, 56, 491, 571, 602, 204, 268, 370, 19, 23923, 15828, 68, 644, 31, 394, 289, 1127, 19, 4969, 19, 505, 611, 41764, 53, 4403, 22017, 16860, 68, 4617, 491, 11070, 204, 204, 264, 436, 636, 68, 8946, 68, 7272, 13, 327, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 763, 275, 7450, 4997, 448, 273, 955, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 7450, 2442, 17, 2054, 17, 575, 17, 329, 1482, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 379, 2463, 597, 370, 19, 8946, 68, 2463, 17, 204, 305, 379, 898, 597, 370, 19, 8946, 68, 898, 17, 204, 305, 379, 816, 597, 370, 19, 8946, 68, 816, 17, 204, 305, 379, 1989, 597, 370, 19, 8946, 68, 1989, 204, 268, 1211, 204, 204, 264, 436, 636, 68, 24899, 68, 481, 68, 3282, 13, 327, 14, 393, 1061, 64, 325, 17, 421, 744, 204, 268, 320, 204, 268, 763, 275, 8916, 424, 2557, 448, 273, 955, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 8916, 424, 3054, 329, 846, 9429, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 379, 24899, 68, 481, 68, 4936, 597, 370, 19, 24899, 68, 481, 68, 4936, 17, 204, 305, 379, 1129, 68, 12768, 597, 370, 19, 1129, 68, 12768, 204, 268, 1211, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 954, 289, 6408, 374, 204, 264, 456, 13, 1087, 19, 505, 68, 8946, 68, 7272, 1447, 204, 264, 456, 13, 1087, 19, 505, 68, 24899, 68, 481, 68, 3282, 1447, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 1967, 68, 2856, 13, 204, 264, 1472, 68, 2387, 31, 394, 17, 716, 264, 1824, 68, 4745, 31, 394, 17, 716, 264, 1629, 68, 4745, 31, 394, 17, 716, 264, 846, 68, 1205, 31, 421, 289, 3861, 204, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 7483, 2828, 497, 275, 800, 1472, 1666, 1609, 523, 275, 1824, 329, 1629, 3758, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1472, 68, 2387, 322, 325, 330, 334, 1666, 302, 275, 1472, 311, 1967, 497, 19, 204, 264, 338, 1824, 68, 4745, 322, 325, 330, 334, 1824, 2679, 311, 2216, 19, 204, 264, 338, 1629, 68, 4745, 322, 325, 330, 334, 1629, 2679, 311, 2216, 19, 204, 264, 338, 846, 68, 1205, 322, 339, 330, 334, 1646, 1277, 302, 275, 4989, 726, 322, 2305, 353, 3861, 789, 204, 204, 264, 475, 31, 204, 264, 338, 783, 64, 325, 744, 332, 458, 302, 4989, 2828, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 4989, 2828, 204, 264, 4989, 68, 2856, 289, 1306, 204, 615, 264, 314, 977, 275, 1813, 1112, 311, 500, 204, 264, 1813, 68, 998, 289, 500, 204, 615, 264, 314, 11333, 14223, 3119, 275, 1136, 302, 275, 1472, 1666, 353, 7486, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 1752, 275, 1112, 302, 275, 1824, 2679, 292, 275, 1472, 1666, 204, 305, 1012, 68, 1735, 289, 1472, 68, 2387, 19, 998, 13, 1735, 68, 4745, 17, 1813, 68, 998, 14, 204, 3123, 305, 314, 888, 275, 1136, 1112, 302, 275, 1824, 2679, 204, 305, 1136, 68, 1735, 289, 1012, 68, 1735, 465, 1245, 13, 1735, 68, 4745, 14, 204, 3123, 305, 314, 1752, 275, 1112, 302, 275, 1629, 2679, 292, 275, 1472, 1666, 204, 305, 1136, 289, 1472, 68, 2387, 19, 998, 13, 1633, 68, 4745, 17, 1136, 68, 1735, 14, 204, 3123, 305, 314, 778, 397, 275, 1277, 302, 275, 4989, 726, 353, 2614, 275, 1646, 1277, 204, 305, 397, 1136, 338, 1136, 68, 1735, 2186, 846, 68, 1205, 31, 204, 485, 314, 1986, 275, 726, 329, 6283, 490, 311, 275, 458, 204, 485, 4989, 68, 2856, 19, 1223, 13, 2225, 68, 2387, 64, 409, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1735, 31, 409, 1664, 2892, 1447, 204, 3123, 305, 314, 1716, 275, 1813, 1112, 311, 3524, 14223, 497, 275, 1682, 1502, 204, 305, 1813, 68, 998, 289, 1012, 68, 1735, 465, 368, 204, 822, 268, 314, 1426, 275, 1322, 1330, 275, 2679, 353, 508, 1193, 292, 275, 1472, 1666, 204, 268, 827, 987, 31, 204, 305, 314, 2175, 521, 2906, 275, 908, 30512, 204, 305, 456, 499, 596, 31, 21753, 508, 1193, 292, 1472, 1666, 1280, 204, 305, 2280, 204, 615, 264, 314, 455, 275, 458, 302, 4989, 2828, 204, 264, 407, 458, 13, 574, 13, 25030, 68, 2856, 602, 204, 204, 204, 461, 2081, 68, 4918, 13, 204, 264, 3758, 31, 783, 64, 2983, 64, 325, 17, 394, 4395, 716, 264, 5885, 68, 3366, 31, 394, 17, 716, 264, 33738, 68, 553, 68, 3366, 31, 394, 17, 716, 264, 5221, 68, 932, 31, 394, 289, 388, 3170, 7, 204, 14, 393, 783, 64, 2983, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18403, 3758, 1609, 523, 1017, 9920, 292, 275, 800, 5885, 2852, 329, 33738, 510, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3758, 322, 1218, 64, 2983, 64, 325, 17, 394, 3795, 332, 458, 302, 3758, 311, 2081, 19, 204, 264, 338, 5885, 68, 3366, 322, 325, 330, 334, 2852, 302, 275, 5885, 311, 1813, 292, 19, 204, 264, 338, 33738, 68, 553, 68, 3366, 322, 325, 330, 334, 2852, 302, 275, 33738, 510, 19, 204, 264, 338, 5221, 68, 932, 322, 325, 330, 334, 1187, 302, 16445, 311, 3120, 322, 2305, 353, 388, 3170, 5561, 204, 204, 264, 475, 31, 204, 264, 338, 783, 64, 2983, 64, 325, 17, 394, 2440, 332, 458, 302, 4932, 3758, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 4932, 3758, 204, 264, 4932, 68, 4918, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 2679, 292, 275, 458, 302, 3758, 204, 264, 348, 2679, 292, 3758, 31, 204, 268, 1824, 68, 4745, 17, 1629, 68, 4745, 289, 2679, 204, 822, 268, 314, 763, 830, 6214, 6204, 275, 5885, 204, 268, 6214, 289, 636, 5797, 35854, 837, 2662, 43006, 13, 15697, 68, 3366, 14, 204, 822, 268, 314, 977, 273, 2279, 311, 3234, 275, 9920, 302, 275, 2679, 204, 268, 2679, 68, 2224, 289, 500, 204, 822, 268, 314, 1861, 1048, 848, 1472, 292, 275, 458, 302, 6214, 204, 268, 348, 1472, 292, 6214, 31, 204, 305, 314, 5128, 275, 4710, 1472, 2852, 204, 305, 4710, 68, 2225, 68, 3366, 289, 1472, 465, 6040, 2225, 19, 2079, 7, 204, 3123, 305, 314, 1606, 275, 1666, 302, 275, 33738, 510, 204, 305, 1666, 68, 655, 289, 1151, 2597, 8334, 837, 1218, 13, 2225, 465, 34635, 465, 33738, 68, 553, 68, 3366, 14, 204, 3123, 305, 314, 9828, 275, 1666, 458, 1025, 273, 2875, 782, 204, 305, 7905, 68, 2387, 289, 388, 5161, 1541, 13, 2387, 68, 655, 64, 21, 1664, 1590, 1447, 397, 1666, 68, 655, 902, 3026, 204, 3123, 305, 314, 1606, 275, 14824, 2966, 1472, 1666, 204, 305, 1472, 68, 2387, 289, 1151, 38768, 28274, 6188, 8334, 13, 22966, 68, 2225, 68, 3366, 14, 204, 3123, 305, 314, 3291, 16445, 311, 275, 1472, 1666, 397, 1713, 204, 305, 397, 5221, 68, 932, 564, 388, 5551, 559, 204, 485, 1472, 68, 2387, 289, 4066, 13648, 29168, 837, 8542, 13, 2225, 68, 2387, 14, 204, 3123, 305, 314, 1986, 2828, 497, 275, 1472, 1666, 974, 275, 2679, 204, 305, 1563, 289, 1967, 68, 2856, 13, 2225, 68, 2387, 17, 1824, 68, 4745, 17, 1629, 68, 4745, 14, 204, 3123, 305, 314, 778, 397, 275, 7905, 1666, 353, 3113, 292, 275, 4989, 2828, 204, 305, 397, 7905, 68, 2387, 292, 1563, 31, 204, 485, 314, 7415, 275, 2679, 2279, 204, 485, 2679, 68, 2224, 1412, 368, 204, 822, 268, 314, 778, 397, 275, 2679, 2279, 353, 3114, 1194, 500, 204, 268, 397, 2679, 68, 2224, 1323, 500, 31, 204, 305, 314, 5230, 275, 2679, 311, 275, 458, 302, 4932, 3758, 204, 305, 4932, 68, 4918, 19, 1223, 1802, 1735, 68, 4745, 17, 1629, 68, 4745, 602, 204, 615, 264, 314, 455, 275, 458, 302, 4932, 3758, 204, 264, 407, 4932, 68, 4918, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3758, 289, 28175, 4745, 22, 528, 388, 4745, 23, 3186, 4401, 4745, 24, 528, 388, 4745, 25, 14094, 204, 264, 5885, 68, 3366, 289, 388, 3189, 1963, 2569, 19, 1453, 7, 204, 264, 33738, 68, 553, 68, 3366, 289, 388, 36510, 68, 553, 19, 3039, 7, 204, 264, 5221, 68, 932, 289, 388, 5551, 7, 204, 615, 264, 4932, 68, 4918, 289, 2081, 68, 4918, 13, 4918, 17, 5885, 68, 3366, 17, 33738, 68, 553, 68, 3366, 17, 5221, 68, 932, 14, 204, 264, 456, 13, 10975, 68, 4918, 14, 204, 0, 461, 949, 68, 1129, 68, 1303, 13, 18467, 68, 3337, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1646, 1066, 496, 618, 444, 8744, 560, 9137, 7686, 1842, 292, 273, 458, 329, 7057, 275, 4876, 1103, 19, 204, 204, 264, 457, 31, 204, 268, 7686, 68, 3337, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1646, 1066, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 828, 275, 458, 869, 2202, 1194, 571, 1842, 17, 407, 500, 204, 264, 397, 1245, 13, 18467, 68, 3337, 14, 962, 571, 31, 204, 268, 407, 500, 204, 204, 264, 846, 68, 1303, 289, 818, 6905, 3643, 534, 226, 314, 977, 846, 68, 1303, 448, 2917, 9556, 204, 204, 264, 436, 9611, 68, 25965, 13, 3337, 31, 458, 64, 339, 648, 790, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18302, 741, 311, 949, 275, 1646, 1066, 19, 204, 204, 268, 457, 31, 204, 305, 1842, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 305, 790, 68, 1303, 322, 339, 330, 334, 790, 1066, 19, 204, 268, 320, 204, 268, 37023, 846, 68, 1303, 226, 314, 1974, 37023, 4541, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 9749, 846, 68, 1303, 204, 204, 268, 314, 3301, 1322, 31, 828, 275, 458, 869, 435, 1842, 17, 1395, 846, 68, 1303, 204, 268, 397, 1245, 13, 3337, 14, 564, 435, 31, 204, 305, 846, 68, 1303, 289, 846, 13, 1129, 68, 1303, 17, 790, 68, 1303, 465, 1842, 64, 21, 66, 540, 1842, 64, 22, 694, 204, 305, 407, 204, 822, 268, 314, 18302, 1322, 31, 6608, 7057, 848, 4876, 1103, 204, 268, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 3337, 14, 338, 368, 330, 204, 305, 314, 888, 717, 1066, 560, 9137, 7686, 1842, 329, 5209, 311, 790, 1066, 204, 305, 717, 68, 1303, 289, 790, 68, 1303, 465, 1842, 64, 78, 18, 22, 66, 540, 1842, 64, 78, 16, 22, 66, 204, 305, 314, 666, 273, 717, 458, 560, 7057, 275, 4876, 1103, 204, 305, 717, 68, 3337, 289, 1842, 2022, 78, 66, 465, 1842, 64, 78, 16, 22, 5853, 204, 305, 9611, 68, 25965, 13, 1957, 68, 3337, 17, 717, 68, 1303, 14, 204, 204, 264, 9611, 68, 25965, 13, 18467, 68, 3337, 17, 500, 14, 204, 264, 407, 846, 68, 1303, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 636, 575, 537, 329, 456, 275, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 268, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 822, 268, 314, 763, 275, 1842, 497, 275, 575, 204, 268, 1842, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 1842, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 822, 268, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 537, 204, 268, 397, 1245, 13, 3337, 14, 2167, 771, 68, 3337, 31, 204, 305, 980, 987, 499, 1962, 537, 431, 204, 822, 268, 314, 888, 329, 456, 275, 1646, 1066, 204, 268, 846, 68, 1303, 289, 949, 68, 1129, 68, 1303, 13, 3337, 14, 204, 268, 456, 499, 14020, 1066, 2180, 846, 68, 1303, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 499, 1962, 537, 2180, 394, 13, 74, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 25602, 302, 373, 3198, 1312, 447, 696, 1154, 6985, 1763, 204, 48, 1915, 4309, 1465, 1429, 373, 3198, 1312, 447, 26869, 6016, 329, 275, 8123, 497, 10033, 318, 11675, 2864, 2159, 17, 38247, 17, 4857, 5392, 17, 886, 17, 329, 10942, 6757, 329, 8277, 31, 2886, 22731, 13347, 560, 2631, 451, 523, 3511, 10033, 318, 11675, 3003, 302, 8822, 19, 12415, 9542, 3478, 368, 31, 373, 3198, 1312, 447, 44538, 329, 8749, 2248, 2459, 437, 1763, 302, 373, 3198, 1312, 447, 44538, 808, 2549, 444, 3870, 560, 22296, 13253, 275, 732, 302, 373, 3198, 1312, 447, 44538, 311, 2493, 3511, 329, 2566, 3595, 497, 2481, 311, 2481, 6965, 47757, 329, 19, 22406, 31, 5576, 302, 566, 17380, 24185, 696, 1154, 275, 5576, 302, 1605, 373, 3198, 1312, 447, 696, 1154, 6965, 311, 1425, 311, 444, 30340, 13670, 560, 1910, 1880, 42840, 14, 348, 1763, 17, 275, 4414, 302, 275, 6747, 2549, 1425, 8956, 275, 6733, 302, 379, 2124, 12, 521, 379, 3676, 19, 22406, 338, 5408, 20, 30382, 20365, 40757, 555, 1257, 329, 318, 11675, 373, 3198, 1312, 447, 696, 1154, 338, 622, 574, 530, 10581, 311, 13541, 1376, 8605, 17, 7001, 11513, 1583, 275, 6985, 5190, 6016, 302, 275, 3942, 292, 928, 970, 23553, 618, 874, 3557, 9901, 17, 1101, 29412, 521, 19, 11449, 869, 275, 13107, 302, 43222, 1282, 7546, 15193, 25338, 3522, 275, 20388, 333, 626, 6985, 43308, 6985, 3094, 1064, 5483, 2388, 6912, 1282, 6985, 523, 11458, 292, 16813, 20187, 22490, 15382, 7636, 286, 1321, 88, 781, 45005, 49136, 6985, 23470, 11925, 94, 4829, 13803, 427, 8546, 3232, 1722, 302, 373, 3198, 1312, 447, 696, 1154, 4695, 3511, 6985, 19, 27747, 318, 11675, 1516, 25721, 329, 8908, 3511, 6985, 456, 4398, 808, 275, 2363, 302, 309, 24929, 2151, 17, 5052, 3269, 2090, 373, 3198, 1312, 447, 696, 1154, 17, 275, 732, 302, 1573, 1044, 17, 11636, 17, 329, 3511, 6985, 4695, 3158, 15382, 1182, 3511, 15382, 3511, 42199, 6016, 12912, 292, 10772, 19, 204, 45, 3198, 1312, 447, 26869, 4695, 31, 348, 1763, 17, 275, 588, 373, 3198, 1312, 447, 696, 1154, 353, 4501, 1376, 311, 3440, 316, 275, 28802, 281, 292, 1071, 1347, 302, 275, 1418, 354, 25721, 329, 302, 275, 8043, 89, 3379, 1163, 5576, 497, 273, 2824, 26214, 24075, 329, 3667, 1425, 275, 4297, 302, 275, 33622, 1466, 25317, 17, 329, 17, 448, 273, 4090, 19, 1158, 20223, 7369, 311, 1340, 872, 311, 25158, 1475, 17, 1763, 1763, 302, 273, 3511, 3793, 4960, 15809, 4974, 3237, 2569, 6985, 311, 2281, 15382, 348, 5132, 17, 3511, 630, 3511, 872, 3126, 496, 292, 1214, 15809, 19, 27747, 318, 11675, 1516, 19283, 21631, 302, 318, 11675, 1516, 373, 3198, 1312, 447, 44538, 1710, 6711, 430, 275, 17338, 3556, 6016, 302, 4695, 292, 318, 11675, 874, 1742, 34040, 311, 571, 17, 6386, 23107, 275, 373, 3198, 1312, 447, 26869, 3467, 867, 1376, 14790, 348, 13846, 292, 1071, 1347, 523, 275, 12540, 302, 36825, 329, 27716, 88, 19, 1752, 685, 1182, 1465, 275, 3511, 302, 10033, 318, 11675, 17, 2864, 12989, 17, 9764, 7192, 17, 13253, 318, 11675, 529, 275, 1910, 40377, 17, 2828, 329, 24703, 496, 874, 1742, 21593, 497, 31718, 9400, 17, 9811, 440, 373, 3198, 1312, 447, 44538, 496, 874, 1698, 10547, 1742, 1710, 579, 28859, 19, 12415, 31, 3511, 302, 10033, 318, 11675, 1516, 4695, 322, 77, 3198, 1312, 447, 44538, 659, 273, 2648, 10459, 318, 11675, 5765, 368, 18, 29210, 18, 29, 5091, 18, 2300, 4553, 3269, 31, 18702, 10459, 318, 11675, 2941, 1051, 1763, 302, 275, 304, 6724, 292, 9161, 8306, 353, 273, 32496, 302, 5623, 278, 3832, 17, 20284, 270, 311, 275, 9911, 9866, 36935, 267, 2554, 312, 19, 204, 35985, 1026, 1741, 70, 329, 318, 11675, 1516, 1125, 793, 48419, 781, 2981, 853, 271, 292, 808, 6985, 17, 572, 10634, 3113, 5395, 6016, 302, 1142, 18, 43819, 329, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 322, 8878, 1841, 14, 31891, 88, 1283, 275, 10033, 1741, 70, 1561, 302, 479, 946, 18, 22794, 8495, 329, 275, 10033, 318, 11675, 1516, 3269, 19, 4014, 589, 24138, 3155, 589, 24138, 292, 9218, 1214, 2073, 7133, 444, 6430, 311, 3550, 808, 3888, 1120, 1340, 872, 2281, 275, 1085, 308, 6985, 292, 928, 872, 1120, 444, 9176, 311, 31, 1781, 31, 1605, 5594, 1466, 12527, 292, 373, 3198, 1312, 447, 696, 1154, 19, 27747, 318, 11675, 17, 373, 3198, 1312, 447, 696, 1154, 437, 11414, 302, 373, 3198, 1312, 447, 696, 1154, 373, 3198, 1312, 447, 44538, 17, 2724, 292, 1169, 1561, 302, 4695, 292, 928, 8822, 1173, 2828, 322, 17538, 448, 7807, 348, 1763, 17, 275, 373, 3198, 1312, 447, 26869, 4414, 302, 273, 3868, 302, 13624, 4230, 1173, 275, 16971, 6438, 19, 26104, 3511, 302, 373, 3198, 1312, 447, 696, 1154, 373, 3198, 1312, 447, 44538, 529, 10819, 497, 275, 357, 9606, 1142, 373, 3198, 1312, 447, 696, 3278, 865, 496, 3210, 23969, 26275, 322, 88, 2063, 1013, 15066, 14, 1163, 5576, 353, 497, 275, 10033, 318, 11675, 4825, 497, 275, 2181, 302, 3332, 18133, 13141, 311, 6562, 364, 322, 80, 555, 23166, 1433, 19, 26104, 373, 3198, 1312, 447, 44538, 322, 20, 348, 1763, 17, 8822, 523, 17289, 2513, 291, 5862, 17, 800, 275, 8608, 302, 3422, 6678, 17, 1236, 40687, 25524, 869, 1742, 2927, 448, 311, 275, 5576, 302, 373, 3198, 1312, 447, 696, 1154, 292, 10033, 318, 11675, 5976, 17, 490, 353, 19, 334, 4382, 13333, 348, 1763, 869, 1742, 3610, 440, 13333, 2347, 556, 2063, 7774, 288, 677, 38297, 440, 373, 3198, 1312, 447, 696, 1154, 523, 275, 622, 574, 530, 10581, 11771, 719, 717, 15520, 311, 3220, 329, 3126, 10033, 318, 11675, 2090, 6202, 318, 11675, 1516, 3511, 15382, 744, 31, 2989, 5994, 25172, 1164, 15338, 1511, 2159, 322, 38791, 6214, 19, 204, 25602, 302, 373, 3198, 1312, 447, 696, 1154, 6985, 1763, 204, 1560, 277, 275, 13708, 18, 21780, 375, 560, 622, 3539, 781, 23375, 275, 3243, 5084, 3192, 2077, 850, 7456, 657, 338, 16373, 329, 4249, 6999, 21769, 571, 338, 2247, 19, 204, 46191, 1260, 338, 4794, 1104, 302, 5926, 1672, 15382, 329, 3793, 13168, 523, 1763, 302, 2031, 2159, 302, 6985, 3220, 3607, 338, 29332, 329, 4476, 15382, 17, 3018, 1763, 302, 2667, 3511, 6985, 292, 808, 6985, 19, 334, 3511, 302, 4695, 21479, 275, 4383, 302, 26559, 3269, 560, 6072, 521, 904, 9035, 275, 17294, 1763, 353, 497, 1916, 9320, 17, 38403, 2181, 1877, 1017, 1043, 3754, 440, 275, 1729, 353, 3597, 302, 1429, 302, 275, 4744, 318, 11675, 1516, 373, 3198, 1312, 447, 696, 1154, 329, 275, 11342, 302, 10033, 38660, 4886, 19, 1346, 16894, 302, 10033, 318, 11675, 1516, 3511, 456, 4398, 808, 273, 671, 309, 351, 309, 351, 18, 28, 318, 11675, 1516, 8295, 22814, 496, 275, 4695, 302, 373, 3198, 1312, 447, 696, 1154, 5096, 311, 19424, 275, 6832, 302, 3511, 6985, 4695, 3158, 15382, 1182, 3511, 15382, 3511, 42199, 6016, 12912, 292, 10772, 572, 618, 19, 12955, 6985, 523, 10033, 3511, 302, 275, 373, 3198, 1312, 447, 696, 1154, 2755, 23919, 4476, 630, 318, 1118, 269, 1453, 17, 275, 4794, 4476, 6985, 5698, 19, 204, 45361, 516, 3018, 13168, 16894, 275, 5576, 302, 275, 13709, 3420, 5020, 302, 42537, 338, 3420, 5020, 302, 42537, 3793, 4960, 6924, 1405, 1025, 437, 1763, 302, 437, 1552, 8210, 523, 273, 275, 9046, 49136, 302, 273, 2016, 18319, 74, 3803, 281, 338, 18319, 74, 3803, 281, 3793, 13168, 5190, 275, 3511, 302, 275, 18319, 74, 3803, 281, 11575, 329, 1163, 19, 3594, 3243, 5084, 353, 437, 6985, 523, 4316, 302, 5576, 497, 10167, 15382, 17, 1214, 2139, 348, 3793, 13168, 17, 15382, 17, 329, 3018, 4960, 6016, 19, 26104, 373, 3198, 1312, 447, 26869, 8123, 24994, 2281, 1214, 588, 1422, 529, 1182, 1194, 32011, 373, 3198, 1312, 447, 26869, 32124, 2864, 20907, 318, 11675, 1516, 1142, 6016, 329, 1048, 34516, 373, 3198, 1312, 447, 44538, 497, 275, 8940, 15508, 458, 318, 11675, 1516, 373, 3198, 1312, 447, 696, 1154, 6019, 10660, 1483, 523, 275, 3511, 302, 318, 11675, 1516, 4695, 329, 19, 8385, 6985, 1672, 523, 10033, 3511, 302, 275, 373, 3198, 1312, 447, 696, 1154, 2363, 6985, 4695, 373, 3198, 1312, 447, 696, 1154, 318, 11675, 1516, 10033, 10581, 19, 0, 24749, 273, 2462, 20775, 204, 3882, 7597, 1662, 872, 6900, 311, 3594, 18, 7061, 18, 20962, 19, 1453, 17, 872, 1236, 18382, 6900, 292, 1813, 302, 273, 510, 5674, 521, 1483, 523, 273, 4153, 510, 5674, 19, 332, 510, 5674, 353, 7493, 275, 1673, 4542, 6072, 630, 275, 1136, 302, 273, 510, 588, 496, 1120, 3891, 1877, 275, 7844, 17, 521, 3155, 19, 1765, 273, 3060, 4802, 1763, 17, 273, 510, 496, 10428, 17, 4362, 2301, 2597, 19, 3228, 29074, 1784, 444, 273, 3243, 510, 19, 1058, 618, 444, 10994, 560, 7595, 1877, 275, 7844, 17, 521, 3155, 17, 630, 275, 4362, 3228, 884, 1085, 302, 275, 510, 588, 19, 204, 3070, 1182, 1483, 523, 275, 4109, 3003, 302, 510, 11904, 329, 311, 3020, 273, 458, 302, 275, 1910, 3003, 302, 510, 11904, 17, 9626, 6321, 2077, 510, 5674, 30333, 322, 2850, 14, 4446, 19, 828, 872, 529, 19683, 1483, 523, 5511, 46842, 2404, 872, 874, 437, 4466, 521, 2752, 510, 496, 1120, 508, 1370, 11050, 17, 9626, 6321, 2077, 30333, 322, 2850, 14, 4446, 18042, 311, 5511, 46842, 19, 204, 2920, 311, 1974, 3594, 18, 7061, 18, 20962, 19, 1453, 204, 10936, 18, 7061, 18, 20962, 19, 1453, 11138, 273, 12479, 1104, 302, 1483, 523, 273, 6592, 8372, 302, 510, 11904, 19, 592, 1552, 311, 732, 2077, 6171, 17, 872, 7493, 1519, 311, 2379, 275, 510, 5674, 496, 872, 3480, 1483, 523, 329, 1187, 496, 1025, 275, 1813, 2871, 523, 808, 1472, 19, 3665, 1120, 3480, 311, 1813, 560, 510, 5674, 6216, 1194, 560, 3099, 329, 444, 6430, 496, 872, 529, 1698, 14223, 348, 1051, 510, 5674, 630, 273, 690, 19, 204, 3719, 3594, 18, 7061, 18, 20962, 19, 1453, 869, 1483, 523, 496, 2824, 510, 5674, 17, 872, 1120, 444, 4768, 311, 273, 1563, 1472, 1273, 872, 618, 2013, 275, 1483, 630, 1214, 47489, 19, 828, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1236, 1483, 353, 2755, 17, 872, 1120, 444, 800, 273, 1977, 496, 1120, 3074, 872, 311, 273, 1792, 1472, 496, 1120, 6018, 872, 19340, 523, 1662, 872, 618, 7575, 5395, 3793, 523, 1214, 2824, 510, 5674, 19, 204, 3728, 311, 770, 397, 14165, 4128, 884, 89, 3594, 25865, 523, 8800, 6136, 204, 5842, 302, 275, 1901, 2323, 3490, 496, 572, 1340, 19508, 2616, 353, 14165, 508, 2545, 5096, 311, 1451, 4153, 3003, 302, 510, 11904, 19, 1058, 353, 3667, 437, 7249, 11564, 329, 7493, 16950, 275, 510, 5674, 497, 3594, 18, 7061, 18, 20962, 19, 1453, 884, 88, 1104, 329, 31875, 490, 1120, 770, 275, 17764, 19, 828, 5862, 17, 808, 1583, 508, 1225, 17, 490, 1741, 444, 3913, 311, 11008, 7034, 523, 1214, 1561, 19, 12338, 302, 808, 17, 572, 17828, 4894, 496, 872, 1523, 273, 4476, 8511, 322, 2850, 14, 523, 1214, 1561, 311, 3020, 397, 1422, 529, 1169, 11008, 3490, 496, 1519, 311, 444, 22062, 19, 0, 531, 4433, 532, 322, 204, 264, 2111, 68, 3143, 17, 204, 264, 1779, 68, 1538, 17, 204, 264, 9565, 17, 204, 264, 4123, 17, 204, 264, 824, 17, 204, 264, 14305, 17, 204, 264, 13732, 17, 204, 14, 204, 531, 4433, 68, 3424, 532, 790, 68, 816, 17, 2924, 68, 5593, 204, 531, 4978, 532, 1863, 204, 531, 4978, 19, 1618, 532, 2221, 17, 21166, 204, 531, 4978, 19, 8754, 19, 6041, 532, 21166, 2954, 204, 204, 8, 666, 273, 14305, 348, 6886, 4978, 7215, 204, 8754, 289, 14305, 611, 8754, 491, 589, 417, 4422, 204, 204, 461, 838, 68, 9130, 68, 2288, 13, 654, 31, 21166, 2954, 14, 393, 21166, 31, 204, 264, 320, 204, 264, 666, 273, 717, 4978, 1722, 497, 275, 800, 798, 424, 19, 204, 204, 264, 457, 31, 204, 268, 798, 322, 41926, 2954, 330, 334, 798, 424, 348, 275, 717, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 21166, 31, 334, 9932, 1966, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4978, 1722, 440, 275, 800, 798, 424, 204, 264, 1722, 289, 21166, 13, 1778, 34, 654, 19, 1778, 19, 481, 17, 1068, 34, 654, 19, 492, 19, 481, 17, 575, 68, 359, 34, 1976, 68, 816, 19, 359, 14, 204, 264, 407, 1722, 204, 204, 461, 1395, 68, 9130, 68, 2288, 13, 2288, 31, 21166, 17, 798, 31, 21166, 2954, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 275, 800, 4978, 1722, 440, 275, 717, 424, 497, 275, 798, 19, 204, 204, 264, 457, 31, 204, 268, 1722, 322, 41926, 330, 334, 4978, 1722, 311, 444, 2908, 19, 204, 268, 798, 322, 41926, 2954, 330, 334, 798, 424, 348, 275, 2908, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 1716, 275, 4978, 1722, 440, 275, 717, 798, 424, 204, 264, 1722, 19, 1778, 289, 798, 19, 1778, 19, 481, 204, 264, 1722, 19, 492, 289, 798, 19, 492, 19, 481, 204, 204, 461, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 31, 421, 14, 393, 21166, 31, 204, 264, 320, 204, 264, 763, 273, 4978, 1722, 560, 1222, 521, 407, 273, 9485, 908, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 21166, 31, 334, 4978, 1722, 440, 275, 800, 1222, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 521, 407, 273, 9485, 908, 204, 264, 407, 21166, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 204, 461, 1356, 68, 2288, 68, 47938, 13, 2288, 31, 21166, 14, 393, 443, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1722, 322, 41926, 330, 334, 4978, 1722, 311, 444, 13860, 19, 204, 204, 264, 1632, 31, 204, 268, 28587, 31, 828, 275, 790, 575, 353, 508, 275, 2799, 302, 275, 1722, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 397, 1722, 19, 4020, 2167, 790, 68, 816, 31, 204, 268, 13732, 13, 28109, 14, 204, 204, 37, 8754, 19, 3955, 4195, 1510, 491, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 838, 68, 2288, 374, 393, 394, 31, 204, 264, 320, 204, 264, 666, 273, 717, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 4141, 273, 717, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 798, 348, 4141, 273, 4978, 1722, 204, 264, 798, 289, 21166, 2954, 374, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 4978, 1722, 497, 275, 798, 424, 204, 305, 1722, 289, 838, 68, 9130, 68, 2288, 13, 654, 14, 204, 305, 314, 1255, 275, 717, 4978, 1722, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 826, 13, 2288, 14, 204, 305, 314, 8588, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 314, 23469, 273, 1978, 943, 204, 305, 9565, 611, 19848, 1722, 1966, 5901, 204, 305, 314, 10693, 311, 275, 1112, 1472, 204, 305, 407, 4123, 13, 805, 68, 1538, 611, 1234, 19, 998, 3063, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 32166, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 19398, 374, 204, 305, 314, 23469, 437, 908, 943, 204, 305, 9565, 611, 596, 4141, 4978, 1722, 5901, 204, 305, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 305, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 798, 34, 654, 14, 204, 264, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 264, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 798, 34, 654, 14, 204, 204, 37, 8754, 19, 3955, 47804, 339, 31, 359, 16906, 204, 461, 2013, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3740, 273, 4978, 1722, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 24755, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 4784, 275, 1722, 2399, 440, 275, 4978, 1722, 204, 264, 407, 2111, 68, 3143, 611, 2288, 19, 2079, 491, 1722, 34, 2288, 14, 204, 204, 37, 8754, 19, 3955, 4195, 7451, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 6448, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 1716, 273, 4978, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 16958, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 1356, 68, 2288, 68, 47938, 13, 2288, 14, 204, 264, 314, 666, 273, 717, 798, 348, 16958, 273, 4978, 1722, 204, 264, 798, 289, 21166, 2954, 374, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 810, 31, 204, 305, 314, 1716, 275, 4978, 1722, 440, 275, 717, 798, 424, 204, 305, 1395, 68, 9130, 68, 2288, 13, 2288, 17, 798, 14, 204, 305, 314, 8588, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 4827, 374, 204, 305, 314, 23469, 273, 1978, 943, 204, 305, 9565, 611, 19848, 1722, 19545, 5901, 204, 305, 314, 10693, 311, 275, 1722, 1472, 204, 305, 407, 4123, 13, 805, 68, 1538, 611, 8754, 19, 1529, 68, 2288, 491, 1276, 34, 2288, 19, 359, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 32166, 275, 3731, 311, 275, 1104, 204, 305, 1863, 19, 2488, 19, 19398, 374, 204, 305, 314, 23469, 437, 908, 943, 204, 305, 9565, 611, 596, 16958, 4978, 1722, 5901, 204, 305, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 305, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 1724, 833, 7202, 9212, 1214, 1722, 491, 798, 34, 654, 14, 204, 264, 1677, 824, 19, 1939, 564, 379, 5016, 597, 204, 268, 314, 17207, 275, 798, 440, 275, 4978, 1722, 424, 204, 268, 798, 19, 1778, 19, 481, 289, 1722, 19, 1778, 204, 268, 798, 19, 492, 19, 481, 289, 1722, 19, 492, 204, 264, 314, 4784, 275, 838, 1722, 2399, 440, 275, 798, 204, 264, 407, 2111, 68, 3143, 611, 1510, 68, 2288, 19, 2079, 491, 1724, 833, 7202, 9212, 1214, 1722, 491, 798, 34, 654, 14, 204, 204, 37, 8754, 19, 3955, 4195, 2756, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 3424, 68, 5593, 204, 461, 4032, 68, 2288, 13, 359, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6117, 273, 4978, 1722, 19, 204, 204, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 4978, 1722, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 348, 12629, 273, 4978, 1722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4978, 1722, 440, 275, 800, 1222, 204, 264, 1722, 289, 636, 68, 2288, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 778, 397, 275, 790, 575, 353, 275, 2799, 302, 275, 1722, 204, 264, 1356, 68, 2288, 68, 47938, 13, 2288, 14, 204, 264, 810, 31, 204, 268, 314, 6117, 275, 4978, 1722, 497, 275, 1104, 204, 268, 1863, 19, 2488, 19, 2756, 13, 2288, 14, 204, 268, 314, 8588, 275, 3731, 311, 275, 1104, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 268, 314, 23469, 273, 1978, 943, 204, 268, 9565, 611, 7164, 869, 1742, 8143, 5901, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 32166, 275, 3731, 311, 275, 1104, 204, 268, 1863, 19, 2488, 19, 19398, 374, 204, 268, 314, 23469, 437, 908, 943, 204, 268, 9565, 611, 596, 12629, 1722, 5901, 204, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 13, 805, 68, 1538, 611, 1234, 19, 998, 3063, 204, 0, 1449, 3204, 275, 1561, 387, 23, 1025, 275, 1561, 387, 22, 17, 572, 1519, 311, 1020, 275, 6220, 1525, 313, 19, 716, 204, 4377, 496, 1561, 387, 22, 353, 292, 8166, 798, 17, 275, 1525, 332, 1856, 2909, 2090, 808, 31, 226, 204, 38, 289, 1743, 6411, 96, 14615, 98, 273, 2343, 500, 6997, 21, 2343, 303, 688, 409, 96, 14615, 1617, 204, 204, 2310, 529, 1425, 800, 275, 1561, 387, 23, 31, 204, 4292, 1209, 96, 24612, 1134, 5144, 98, 289, 688, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 98, 95, 465, 688, 6411, 96, 14615, 98, 500, 6997, 22, 688, 409, 96, 14615, 98, 90, 9, 204, 9, 94, 289, 688, 6411, 96, 14615, 98, 368, 2343, 18, 22, 688, 409, 96, 14615, 98, 95, 9, 204, 204, 673, 6220, 1525, 313, 618, 444, 11352, 497, 275, 17893, 302, 1743, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 4742, 716, 204, 673, 14424, 302, 1743, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 1617, 529, 500, 329, 338, 24, 19, 716, 204, 673, 17893, 529, 31, 204, 9, 85, 68, 22, 289, 688, 6411, 96, 14615, 98, 338, 23, 6997, 368, 688, 409, 96, 14615, 1617, 329, 686, 85, 68, 23, 289, 688, 6411, 96, 14615, 98, 368, 6997, 368, 688, 409, 96, 14615, 1617, 204, 204, 673, 6220, 1525, 313, 353, 31, 204, 9, 57, 289, 688, 6411, 96, 14615, 98, 338, 23, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2343, 368, 6997, 22, 2343, 368, 688, 409, 96, 14615, 1617, 204, 204, 2310, 618, 6767, 496, 31, 204, 9, 57, 5373, 22, 2277, 6411, 96, 14615, 98, 338, 22, 2343, 338, 23, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 98, 57, 289, 688, 6411, 96, 14615, 98, 500, 2343, 500, 6997, 21, 2343, 338, 24, 688, 409, 96, 14615, 1617, 204, 204, 1834, 3210, 496, 275, 1525, 332, 292, 1561, 387, 22, 353, 31, 204, 38, 289, 1743, 6411, 96, 14615, 98, 500, 2343, 500, 6997, 21, 2343, 338, 24, 688, 409, 96, 14615, 1617, 204, 204, 2310, 1425, 874, 31, 204, 9, 57, 5373, 22, 98, 71, 289, 688, 6411, 96, 14615, 98, 500, 6997, 22, 688, 409, 96, 14615, 1617, 329, 686, 72, 67, 57, 289, 688, 6411, 96, 14615, 98, 368, 2343, 18, 22, 688, 409, 96, 14615, 98, 57, 5373, 22, 1617, 204, 204, 8395, 8397, 686, 57, 5373, 22, 7078, 572, 636, 31, 204, 9, 57, 5373, 22, 98, 289, 688, 1209, 96, 22, 1134, 24, 2277, 6411, 96, 14615, 98, 368, 2343, 338, 22, 6997, 18, 22, 2343, 338, 23, 688, 409, 96, 14615, 1617, 204, 204, 9538, 17, 686, 71, 289, 313, 688, 6411, 96, 14615, 98, 500, 6997, 22, 688, 409, 96, 14615, 98, 289, 688, 6411, 96, 14615, 98, 368, 6997, 368, 688, 409, 96, 14615, 1617, 204, 204, 7002, 686, 72, 289, 688, 6411, 96, 14615, 98, 368, 2343, 18, 22, 688, 409, 96, 14615, 98, 57, 5373, 22, 98, 289, 688, 6411, 96, 14615, 98, 10723, 1209, 96, 23, 1134, 24, 98, 2343, 10723, 1209, 96, 22, 1134, 24, 98, 688, 409, 96, 14615, 1617, 204, 204, 2551, 17, 275, 1561, 387, 22, 353, 31, 204, 4292, 1209, 96, 4928, 1134, 5144, 98, 289, 688, 6411, 96, 14615, 98, 500, 2343, 500, 6997, 21, 2343, 338, 24, 688, 409, 96, 14615, 98, 93, 465, 688, 6411, 96, 14615, 98, 368, 6997, 368, 688, 409, 96, 14615, 98, 90, 9, 204, 9, 94, 289, 688, 6411, 96, 14615, 98, 10723, 1209, 96, 23, 1134, 24, 98, 2343, 10723, 1209, 96, 22, 1134, 24, 98, 688, 409, 96, 14615, 98, 93, 9, 0, 14145, 5809, 1025, 571, 14383, 204, 204, 46, 874, 970, 3888, 31, 204, 204, 22, 19, 610, 13, 93, 16, 22, 3085, 23, 93, 16, 28, 14, 465, 887, 13, 93, 16, 22, 3085, 93, 16, 24, 14, 204, 23, 19, 392, 67, 23, 13, 51, 16, 22, 2246, 23, 465, 681, 13, 51, 16, 22, 2246, 24, 204, 204, 46, 3315, 794, 15696, 1662, 311, 38112, 1475, 1025, 2327, 14383, 2900, 21536, 10350, 19, 204, 204, 1449, 38112, 275, 7277, 17, 572, 618, 1696, 1605, 3214, 31, 204, 204, 22, 19, 610, 13, 93, 16, 22, 3085, 23, 93, 16, 28, 14, 465, 887, 13, 93, 16, 22, 3085, 93, 16, 24, 14, 204, 204, 37165, 496, 1855, 3099, 874, 273, 2323, 2479, 302, 322, 93, 16, 22, 789, 1785, 618, 2479, 808, 685, 31, 204, 204, 13, 93, 16, 22, 3085, 93, 13, 23, 93, 16, 28, 14, 465, 887, 13, 93, 16, 24, 602, 204, 204, 17055, 275, 2231, 6204, 275, 14383, 31, 204, 204, 13, 93, 16, 22, 3085, 23, 93, 67, 23, 465, 1168, 93, 465, 887, 93, 465, 1916, 14, 204, 204, 16758, 2090, 3099, 31, 204, 204, 13, 93, 16, 22, 3085, 23, 93, 67, 23, 465, 2989, 93, 465, 1916, 14, 204, 204, 14145, 504, 275, 6884, 2231, 31, 204, 204, 13, 93, 16, 22, 3085, 93, 16, 23, 3085, 23, 93, 16, 30, 14, 204, 204, 2551, 17, 275, 2479, 1491, 798, 302, 275, 1043, 2231, 353, 322, 93, 16, 22, 3085, 93, 16, 23, 3085, 23, 93, 16, 30, 789, 204, 204, 23, 19, 392, 67, 23, 13, 51, 16, 22, 2246, 23, 465, 681, 13, 51, 16, 22, 2246, 24, 204, 204, 37165, 496, 1855, 3099, 874, 273, 2323, 2479, 302, 322, 51, 16, 22, 2246, 23, 19, 1785, 618, 2479, 808, 685, 31, 204, 204, 13, 51, 16, 22, 2246, 23, 13, 51, 67, 23, 465, 681, 13, 51, 16, 22, 602, 204, 204, 17055, 275, 2231, 6204, 275, 14383, 31, 204, 204, 13, 51, 16, 22, 2246, 23, 13, 51, 67, 23, 465, 681, 51, 465, 681, 14, 204, 204, 14145, 504, 275, 6884, 2231, 31, 204, 204, 13, 51, 16, 22, 2246, 23, 13, 51, 16, 23, 2246, 23, 204, 204, 2551, 17, 275, 2479, 1491, 798, 302, 275, 1350, 2231, 353, 322, 51, 16, 22, 2246, 23, 13, 51, 16, 23, 2246, 23, 19, 0, 647, 6032, 448, 1774, 204, 647, 1127, 204, 647, 1400, 204, 647, 2010, 448, 645, 204, 531, 5920, 532, 8909, 204, 531, 424, 19, 6782, 49, 624, 532, 1137, 68, 6124, 68, 481, 17, 1137, 68, 6782, 68, 481, 204, 204, 461, 13674, 68, 2393, 13, 8832, 31, 458, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3055, 13674, 8813, 523, 275, 800, 7343, 19, 204, 204, 264, 457, 31, 204, 264, 7343, 322, 655, 330, 332, 458, 302, 5760, 1174, 275, 6199, 1222, 329, 1163, 2634, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1222, 302, 275, 15948, 6199, 19, 204, 264, 320, 204, 264, 314, 888, 275, 5989, 329, 838, 275, 13674, 1435, 204, 264, 300, 289, 1245, 13, 8832, 14, 204, 264, 5989, 289, 645, 19, 643, 1568, 7673, 348, 6915, 12410, 292, 7343, 694, 540, 300, 204, 264, 13674, 68, 1867, 289, 645, 19, 4324, 13, 83, 17, 4798, 34, 339, 14, 204, 264, 2637, 88, 17, 2053, 1110, 289, 7541, 1306, 204, 264, 348, 296, 17, 12410, 292, 3209, 13, 8353, 330, 204, 268, 397, 12410, 962, 368, 31, 204, 305, 2637, 88, 19, 1223, 13, 78, 14, 204, 268, 902, 31, 204, 305, 2053, 1110, 19, 1223, 13, 78, 14, 204, 615, 264, 1335, 2637, 88, 329, 2053, 1110, 31, 204, 268, 2637, 17, 3403, 289, 2637, 88, 19, 3377, 2144, 2053, 1110, 19, 3377, 374, 204, 268, 13674, 68, 1867, 64, 11968, 66, 289, 3403, 204, 268, 5989, 64, 13092, 66, 289, 322, 8353, 64, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 4092, 68, 481, 322, 873, 330, 332, 955, 1174, 275, 4092, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 332, 955, 1174, 275, 2648, 19, 204, 264, 320, 204, 264, 2648, 289, 463, 204, 268, 388, 6782, 68, 359, 559, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 876, 3603, 6782, 68, 359, 4513, 204, 264, 1211, 204, 264, 397, 4092, 68, 359, 292, 4092, 68, 481, 31, 204, 268, 397, 388, 12477, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 12477, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 3881, 68, 655, 34, 2987, 19, 1219, 19, 33454, 1218, 13, 204, 485, 700, 34, 655, 13, 1608, 13, 3605, 610, 31, 610, 19, 4170, 499, 3102, 18, 29, 3186, 4092, 68, 481, 64, 6782, 68, 359, 10017, 12477, 1339, 18742, 204, 268, 397, 388, 12521, 14333, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 12521, 14333, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 204, 485, 700, 3603, 6782, 68, 481, 64, 6782, 68, 359, 10017, 12521, 14333, 1339, 4513, 204, 268, 397, 388, 7983, 7, 292, 4092, 68, 481, 64, 6782, 68, 359, 744, 204, 305, 2648, 1166, 7983, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 3881, 68, 655, 34, 2987, 19, 1219, 19, 33454, 1218, 13, 204, 485, 700, 34, 655, 13, 1608, 13, 3605, 610, 31, 610, 19, 4170, 499, 3102, 18, 29, 3186, 4092, 68, 481, 64, 6782, 68, 359, 10017, 7983, 1339, 18742, 204, 264, 407, 2648, 204, 204, 461, 1900, 68, 1219, 68, 481, 13, 1420, 68, 553, 31, 394, 17, 2158, 68, 835, 31, 421, 17, 771, 68, 38777, 31, 421, 17, 7778, 68, 1205, 31, 421, 17, 407, 68, 2394, 31, 818, 17, 292, 607, 68, 2394, 31, 818, 17, 6374, 68, 1129, 68, 16427, 68, 4397, 31, 421, 17, 353, 68, 3412, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2069, 275, 1737, 424, 329, 2106, 490, 311, 275, 800, 919, 510, 19, 204, 204, 264, 457, 31, 204, 264, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 2158, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2158, 19, 204, 264, 771, 68, 38777, 322, 339, 330, 334, 542, 302, 20886, 311, 2811, 19, 204, 264, 7778, 68, 1205, 322, 339, 330, 334, 1277, 302, 848, 7778, 19, 204, 264, 407, 68, 2394, 322, 996, 330, 334, 407, 3918, 19, 204, 264, 292, 607, 68, 2394, 322, 996, 330, 334, 292, 18, 607, 3918, 19, 204, 264, 6374, 68, 1129, 68, 16427, 68, 4397, 322, 339, 330, 334, 1646, 10602, 292, 3331, 1283, 970, 10161, 19, 204, 264, 353, 68, 3412, 322, 2107, 330, 2266, 275, 1582, 353, 13090, 521, 508, 19, 204, 264, 320, 204, 264, 1400, 68, 38777, 289, 944, 23, 5968, 13, 920, 68, 38777, 17, 7778, 68, 1205, 17, 407, 68, 2394, 17, 292, 607, 68, 2394, 17, 6374, 68, 1129, 68, 16427, 68, 4397, 17, 353, 68, 3412, 14, 204, 264, 4092, 68, 481, 289, 1137, 68, 6782, 68, 481, 374, 204, 264, 5594, 289, 1306, 204, 264, 348, 7778, 292, 1400, 68, 38777, 31, 204, 268, 348, 296, 292, 933, 13, 2997, 68, 835, 17, 1245, 13, 11105, 14, 338, 2158, 68, 835, 330, 204, 305, 7343, 289, 1306, 204, 305, 348, 781, 292, 933, 13, 2997, 68, 835, 330, 204, 485, 397, 296, 338, 781, 338, 368, 3721, 500, 31, 204, 895, 7343, 19, 1223, 13, 11105, 64, 78, 338, 781, 338, 368, 694, 204, 485, 397, 296, 465, 781, 465, 368, 962, 1245, 13, 11105, 330, 204, 895, 7343, 19, 1223, 13, 11105, 64, 78, 465, 781, 465, 368, 694, 204, 305, 2648, 289, 838, 68, 3995, 13, 11105, 64, 78, 648, 4092, 68, 481, 14, 204, 305, 348, 6199, 292, 7343, 31, 204, 485, 2648, 1166, 2170, 68, 6782, 68, 359, 1339, 289, 1774, 19, 1219, 19, 11896, 13, 339, 2562, 68, 655, 34, 2987, 19, 1219, 19, 6594, 2562, 1218, 13, 876, 3603, 9431, 4513, 204, 485, 1763, 289, 1774, 19, 1219, 19, 5063, 13, 2226, 34, 2987, 19, 1219, 19, 19401, 13, 3995, 34, 3995, 8093, 4693, 504, 1449, 4269, 374, 204, 485, 5594, 19, 1223, 13, 2569, 14, 204, 264, 1400, 19, 12446, 13, 7485, 14, 204, 264, 440, 1774, 19, 936, 19, 11909, 8630, 10841, 13, 1420, 68, 553, 14, 448, 283, 31, 204, 268, 348, 2493, 292, 5594, 31, 204, 305, 283, 19, 2206, 13, 3689, 14, 204, 204, 461, 537, 68, 6696, 13, 2884, 68, 835, 31, 421, 17, 8062, 68, 6437, 68, 835, 31, 421, 289, 443, 14, 393, 1774, 19, 481, 19, 5030, 31, 204, 264, 320, 204, 264, 666, 437, 537, 741, 348, 275, 1737, 424, 19, 204, 204, 264, 457, 31, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 19, 204, 264, 8062, 68, 6437, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 8062, 5668, 19, 204, 204, 264, 475, 31, 204, 264, 1774, 19, 481, 19, 5030, 31, 332, 1485, 1174, 275, 1737, 424, 19, 204, 264, 320, 204, 264, 1763, 68, 6069, 289, 463, 204, 268, 388, 2170, 68, 6782, 68, 359, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 6782, 68, 359, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 12477, 559, 1774, 19, 936, 19, 55, 616, 2669, 11896, 13, 8863, 34, 2987, 19, 1031, 17, 1237, 68, 19705, 68, 8863, 34, 2987, 19, 339, 2562, 659, 204, 268, 388, 12521, 14333, 559, 1774, 19, 936, 19, 24365, 31232, 11896, 13, 1827, 3644, 22, 18671, 4798, 34, 2987, 19, 339, 2562, 17, 1540, 68, 876, 34, 21, 659, 204, 268, 388, 7983, 559, 1774, 19, 936, 19, 55, 616, 2669, 0 ]

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

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 370, 19, 1510, 68, 779, 68, 16881, 68, 12766, 374, 204, 268, 370, 19, 1510, 68, 23563, 68, 4723, 68, 1676, 374, 204, 268, 370, 19, 1510, 68, 7655, 68, 4723, 68, 1676, 374, 204, 204, 264, 436, 838, 68, 779, 68, 16881, 68, 12766, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 16385, 329, 28922, 8982, 19, 204, 268, 320, 204, 268, 314, 666, 275, 2963, 2871, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 289, 6349, 19, 29526, 6059, 6754, 13, 327, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 19064, 13, 13113, 19, 21146, 13, 39517, 17, 48662, 17, 42440, 17, 4236, 602, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 574, 44492, 13, 13113, 19, 5171, 19, 26706, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 574, 15151, 6059, 88, 13, 11540, 19, 29526, 6059, 6754, 19, 29843, 1152, 6349, 19, 29526, 6059, 6754, 19, 29991, 14, 204, 204, 268, 314, 6370, 275, 8982, 311, 1017, 12428, 19071, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 28499, 19, 2933, 13, 327, 19, 11130, 14, 204, 268, 370, 19, 779, 68, 16881, 68, 12766, 19, 272, 29498, 19, 2933, 13, 327, 19, 41659, 14, 204, 204, 264, 436, 838, 68, 23563, 68, 4723, 68, 1676, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 14477, 2556, 1800, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1800, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 289, 6349, 19, 18708, 13, 327, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 19064, 13, 13113, 19, 21146, 13, 11425, 17, 2468, 17, 720, 5639, 17, 13316, 602, 204, 204, 268, 314, 1359, 275, 1800, 677, 4514, 329, 1068, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 1671, 19021, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 4635, 14, 204, 268, 4514, 19, 574, 15045, 1054, 13, 1021, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 33425, 13, 6823, 14, 204, 268, 370, 19, 23563, 68, 4723, 68, 1676, 19, 14802, 499, 3044, 3704, 15210, 9376, 431, 204, 204, 264, 436, 838, 68, 7655, 68, 4723, 68, 1676, 13, 327, 14, 393, 19242, 31, 204, 268, 320, 204, 268, 2605, 275, 4497, 2556, 1800, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1800, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 289, 6349, 19, 18708, 13, 327, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 19064, 13, 13113, 19, 21146, 13, 24179, 17, 12602, 17, 681, 7879, 17, 4662, 22, 602, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 10173, 30243, 28897, 13, 1975, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 1126, 18660, 13, 11540, 19, 43440, 19, 56, 605, 1153, 20305, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 1126, 4872, 12004, 13, 11540, 19, 43440, 19, 32570, 1226, 14, 204, 268, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 36209, 9576, 20445, 13, 1641, 14, 204, 204, 268, 314, 1385, 275, 284, 21470, 204, 268, 810, 31, 204, 305, 370, 19, 7655, 68, 4723, 68, 1676, 19, 574, 35394, 13, 19254, 19, 27084, 21470, 499, 44, 15459, 39, 19, 12814, 6761, 20, 23563, 4723, 19, 4955, 3687, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4644, 284, 21470, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 19242, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 532, 2454, 204, 264, 740, 289, 6349, 19, 20909, 13, 4807, 19, 4983, 14, 204, 264, 8320, 289, 43337, 11443, 12987, 374, 204, 264, 8320, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 2606, 19, 14213, 532, 10270, 68, 81, 22, 68, 2650, 204, 647, 2010, 448, 645, 204, 531, 1498, 532, 783, 204, 204, 676, 17646, 2703, 892, 1240, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 17646, 1301, 18, 16329, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 300, 68, 3616, 322, 339, 330, 334, 542, 302, 5107, 19, 204, 268, 9077, 322, 996, 330, 334, 6778, 2479, 19, 204, 268, 7170, 322, 996, 330, 334, 8470, 700, 19, 204, 268, 2044, 22, 322, 2606, 19, 6769, 23, 73, 330, 334, 1043, 7752, 2522, 19, 204, 268, 2044, 23, 322, 2606, 19, 6769, 23, 73, 330, 334, 1350, 7752, 2522, 19, 204, 268, 2044, 24, 322, 2606, 19, 6769, 23, 73, 330, 334, 4986, 7752, 2522, 19, 204, 268, 11482, 322, 2606, 19, 6446, 330, 334, 11482, 2522, 19, 204, 268, 5107, 322, 2606, 19, 6446, 330, 334, 5107, 2522, 19, 204, 268, 4209, 322, 4647, 19, 37633, 13286, 330, 334, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 300, 68, 3616, 31, 421, 17, 9077, 31, 818, 289, 500, 19, 22, 17, 7170, 31, 818, 289, 500, 19, 22, 330, 204, 268, 320, 204, 268, 977, 275, 17646, 1301, 18, 16329, 570, 19, 204, 204, 268, 457, 31, 204, 305, 300, 68, 3616, 322, 339, 330, 334, 542, 302, 5107, 19, 204, 305, 9077, 322, 996, 17, 1448, 330, 334, 6778, 2479, 19, 1243, 311, 500, 19, 22, 19, 204, 305, 7170, 322, 996, 17, 1448, 330, 334, 8470, 700, 19, 1243, 311, 500, 19, 22, 19, 204, 268, 320, 204, 268, 2234, 13, 30502, 2703, 892, 1240, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 83, 68, 3616, 289, 300, 68, 3616, 204, 268, 370, 19, 9655, 289, 9077, 204, 268, 370, 19, 7592, 289, 7170, 204, 268, 370, 19, 4869, 22, 289, 2839, 19, 6769, 23, 73, 13, 25, 17, 4236, 17, 3696, 68, 835, 34, 29, 17, 8096, 34, 25, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14, 204, 268, 370, 19, 4869, 23, 289, 2839, 19, 6769, 23, 73, 13, 2177, 17, 5737, 17, 3696, 68, 835, 34, 25, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 4869, 24, 289, 2839, 19, 6769, 23, 73, 13, 2562, 17, 5737, 17, 3696, 68, 835, 34, 24, 17, 8096, 34, 22, 14, 204, 268, 370, 19, 13747, 289, 2839, 19, 6446, 13, 28, 540, 1168, 540, 5737, 17, 12251, 14, 204, 268, 370, 19, 3616, 289, 2839, 19, 6446, 13, 12969, 17, 300, 68, 3616, 14, 204, 268, 370, 19, 7560, 289, 2976, 19, 37633, 13286, 13, 327, 19, 3465, 2144, 10264, 34, 21, 19, 7585, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 1259, 31, 1437, 19, 1556, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 9711, 1879, 19, 204, 204, 268, 457, 31, 204, 305, 1259, 322, 3109, 19, 1556, 330, 334, 537, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 334, 919, 19, 204, 268, 320, 204, 268, 314, 17816, 4131, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 22, 13, 1512, 602, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 23, 13, 93, 602, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 4869, 24, 13, 93, 602, 204, 822, 268, 314, 15822, 275, 919, 204, 268, 610, 289, 610, 19, 1529, 13, 93, 19, 1827, 64, 21, 648, 338, 22, 14, 204, 822, 268, 314, 12628, 4131, 204, 268, 610, 289, 1437, 19, 5723, 13, 327, 19, 13747, 13, 93, 602, 204, 268, 610, 289, 370, 19, 3616, 13, 93, 14, 204, 268, 407, 610, 204, 204, 264, 436, 636, 68, 6222, 68, 1744, 13, 327, 17, 1259, 31, 1437, 19, 1556, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 2765, 2086, 19, 204, 204, 268, 457, 31, 204, 305, 1259, 322, 3109, 19, 1556, 330, 334, 537, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 2765, 2086, 19, 204, 268, 320, 204, 268, 3259, 68, 1309, 289, 370, 19, 6904, 13, 1512, 14, 204, 268, 407, 1437, 19, 11300, 13, 86, 68, 1309, 789, 1271, 374, 204, 204, 264, 436, 4309, 13, 327, 17, 16643, 31, 783, 14, 393, 443, 31, 204, 268, 320, 204, 268, 17450, 497, 275, 16643, 19, 204, 204, 268, 457, 31, 204, 305, 16643, 322, 1218, 330, 334, 16643, 19, 204, 268, 320, 204, 268, 348, 7978, 292, 16643, 31, 204, 305, 370, 19, 3838, 68, 389, 13, 14619, 14, 204, 204, 264, 436, 4309, 68, 389, 13, 327, 17, 7978, 14, 393, 443, 31, 204, 268, 320, 204, 268, 17450, 497, 273, 2875, 7978, 19, 204, 204, 268, 457, 31, 204, 305, 7978, 31, 334, 7978, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1259, 17, 2086, 17, 1682, 68, 1512, 17, 5877, 289, 7978, 204, 305, 3259, 68, 1512, 289, 370, 19, 6904, 13, 1512, 14, 204, 305, 3259, 68, 2715, 68, 1512, 289, 370, 19, 6904, 13, 2715, 68, 1512, 789, 18861, 374, 204, 305, 1812, 68, 86, 289, 5877, 465, 370, 19, 9655, 540, 1437, 19, 1129, 13, 86, 68, 2715, 68, 1512, 14, 204, 305, 2210, 289, 10270, 68, 81, 22, 68, 2650, 13, 86, 68, 1512, 17, 1812, 68, 86, 14, 204, 305, 370, 19, 7560, 19, 5306, 68, 6164, 374, 204, 305, 2210, 19, 12242, 374, 204, 305, 370, 19, 7560, 19, 2290, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 3129, 1882, 3100, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 977, 275, 570, 204, 264, 570, 289, 17646, 2703, 892, 1240, 13, 83, 68, 3616, 34, 1003, 14, 204, 204, 264, 314, 666, 1429, 11330, 16643, 204, 264, 16643, 289, 551, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 500, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 268, 322, 3109, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 435, 17, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 659, 368, 19, 21, 659, 204, 264, 2437, 204, 204, 264, 314, 17450, 497, 275, 16643, 204, 264, 570, 19, 3838, 13, 25439, 14, 204, 204, 264, 314, 763, 275, 2765, 2086, 204, 264, 1259, 289, 1437, 19, 9054, 13, 22, 17, 681, 17, 13451, 17, 13451, 14, 204, 264, 2765, 68, 1744, 289, 570, 19, 505, 68, 6222, 68, 1744, 13, 1512, 14, 204, 264, 456, 13, 75, 7, 19127, 2086, 31, 463, 6222, 68, 1744, 743, 204, 0, 531, 3022, 68, 7522, 532, 10686, 204, 531, 1498, 532, 1061, 17, 783, 204, 531, 1804, 532, 1804, 204, 204, 676, 17188, 24014, 5449, 13, 12873, 19, 5449, 330, 204, 264, 320, 204, 264, 18078, 348, 4801, 10482, 19, 204, 204, 264, 1532, 31, 204, 268, 1012, 68, 834, 322, 2664, 330, 334, 1012, 690, 302, 275, 4801, 3155, 19, 204, 268, 1136, 68, 834, 322, 2664, 330, 334, 1136, 690, 302, 275, 4801, 3155, 19, 204, 264, 320, 204, 264, 1012, 68, 834, 289, 10686, 19, 6602, 13, 2478, 28297, 73, 1564, 71, 1564, 62, 1564, 46, 6212, 50, 1564, 85, 534, 204, 264, 1136, 68, 834, 289, 10686, 19, 6602, 13, 2478, 28297, 73, 1564, 71, 1564, 62, 1564, 46, 6212, 50, 1564, 85, 534, 204, 204, 204, 676, 35541, 13, 12873, 19, 5449, 330, 204, 264, 320, 204, 264, 18078, 348, 3612, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 325, 330, 334, 2220, 1222, 302, 275, 575, 19, 204, 268, 2318, 68, 417, 322, 325, 330, 334, 2318, 588, 302, 275, 575, 19, 204, 268, 25559, 322, 325, 330, 334, 8486, 302, 275, 575, 19, 204, 268, 4801, 68, 22619, 322, 1218, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 64, 1665, 1037, 332, 458, 302, 4801, 10482, 348, 275, 575, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 16158, 13, 327, 17, 575, 68, 1648, 31, 726, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 475, 273, 955, 2355, 302, 275, 575, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 1648, 322, 1386, 330, 334, 575, 1014, 311, 444, 11948, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 332, 955, 1174, 575, 3695, 329, 4801, 10482, 19, 204, 204, 268, 1632, 31, 204, 305, 10686, 19, 14910, 31, 828, 437, 908, 3459, 1882, 19546, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 575, 3695, 497, 275, 575, 1014, 204, 305, 575, 68, 4810, 289, 463, 204, 485, 379, 359, 597, 575, 68, 1648, 19, 5271, 68, 359, 17, 204, 485, 379, 6763, 68, 417, 597, 575, 68, 1648, 19, 505, 68, 5022, 68, 417, 2144, 204, 485, 379, 11344, 597, 575, 68, 1648, 19, 11674, 17, 204, 305, 1211, 204, 204, 305, 314, 763, 4801, 10482, 348, 275, 575, 204, 305, 4801, 68, 22619, 289, 370, 19, 505, 68, 9360, 68, 22619, 13, 816, 68, 1648, 14, 204, 204, 305, 314, 9587, 575, 3695, 329, 4801, 10482, 204, 305, 407, 35723, 816, 68, 4810, 17, 379, 9360, 68, 22619, 597, 4801, 68, 22619, 98, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 19546, 2744, 204, 305, 980, 10686, 19, 14910, 13, 325, 13, 74, 602, 204, 204, 264, 436, 636, 68, 9360, 68, 22619, 13, 327, 17, 575, 68, 1648, 31, 726, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 475, 273, 458, 302, 4801, 10482, 348, 275, 800, 575, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 1648, 322, 1386, 330, 334, 575, 1014, 348, 928, 4801, 10482, 529, 311, 444, 8781, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 1665, 744, 332, 458, 302, 5239, 1174, 4801, 3155, 3695, 19, 204, 204, 268, 1632, 31, 204, 305, 10686, 19, 14910, 31, 828, 437, 908, 3459, 1330, 9933, 4801, 10482, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 4491, 4801, 10482, 348, 275, 575, 204, 305, 4801, 68, 22619, 289, 575, 68, 1648, 19, 9360, 68, 22619, 19, 668, 374, 204, 204, 305, 314, 16454, 4801, 10482, 204, 305, 407, 17188, 24014, 5449, 13, 9360, 68, 22619, 17, 1910, 34, 1021, 789, 481, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 2744, 1330, 9933, 4801, 10482, 204, 305, 980, 10686, 19, 14910, 13, 325, 13, 74, 602, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 2221, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2220, 68, 359, 31, 394, 17, 3101, 68, 417, 31, 394, 17, 8486, 31, 394, 330, 204, 268, 370, 19, 5271, 68, 359, 289, 2220, 68, 359, 204, 268, 370, 19, 5022, 68, 417, 289, 3101, 68, 417, 204, 268, 370, 19, 11674, 289, 8486, 204, 268, 370, 19, 9360, 68, 22619, 289, 1306, 204, 204, 264, 436, 636, 68, 5022, 68, 417, 13, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 5022, 68, 417, 204, 204, 264, 436, 881, 68, 9360, 68, 6956, 13, 327, 17, 1012, 68, 834, 31, 1804, 17, 1136, 68, 834, 31, 1804, 330, 204, 268, 370, 19, 9360, 68, 22619, 19, 1223, 6758, 1530, 68, 834, 597, 1012, 68, 834, 17, 379, 409, 68, 834, 597, 1136, 68, 834, 1937, 204, 204, 264, 436, 830, 13, 327, 330, 204, 268, 407, 370, 19, 9360, 68, 22619, 204, 204, 204, 8, 666, 273, 575, 1014, 204, 816, 289, 2221, 611, 58, 4326, 491, 379, 6192, 7358, 491, 379, 38909, 20, 6001, 68, 62, 745, 534, 204, 816, 19, 826, 68, 9360, 68, 6956, 13, 2664, 13, 8409, 17, 368, 17, 368, 17, 1233, 17, 500, 17, 500, 659, 1804, 13, 8409, 17, 368, 17, 368, 17, 3139, 17, 500, 17, 500, 602, 204, 816, 19, 826, 68, 9360, 68, 6956, 13, 2664, 13, 8409, 17, 368, 17, 435, 17, 1233, 17, 500, 17, 500, 659, 1804, 13, 8409, 17, 368, 17, 435, 17, 3139, 17, 500, 17, 500, 602, 204, 204, 8, 16454, 275, 575, 1014, 204, 9692, 289, 35541, 374, 204, 15148, 68, 816, 289, 6317, 19, 633, 68, 16158, 13, 816, 14, 204, 204, 8, 1198, 275, 11948, 575, 204, 2102, 13, 15148, 68, 816, 14, 204, 0, 673, 2631, 1763, 867, 1966, 560, 6432, 6699, 4125, 302, 2238, 497, 25392, 25376, 17, 16782, 848, 3868, 292, 4315, 17, 329, 16780, 275, 1043, 4315, 302, 275, 1043, 1007, 440, 275, 1350, 4315, 302, 275, 1350, 322, 416, 18977, 23983, 789, 3242, 17668, 560, 275, 12301, 677, 1724, 17, 275, 1136, 1142, 302, 848, 1007, 353, 388, 25007, 3343, 346, 24239, 618, 444, 1193, 5084, 19, 204, 990, 38, 46440, 1933, 302, 2135, 402, 1001, 204, 2310, 874, 317, 9614, 336, 292, 275, 37243, 18, 1795, 7014, 8469, 17, 204, 673, 7921, 18, 5705, 24589, 42397, 302, 275, 8469, 17, 204, 3609, 1064, 329, 444, 812, 329, 560, 275, 11660, 8469, 19, 204, 32790, 275, 21518, 17, 7625, 329, 3585, 329, 8469, 17, 204, 11189, 297, 651, 10701, 275, 18348, 302, 275, 8469, 19, 204, 23158, 15558, 302, 1158, 356, 354, 17, 41382, 302, 275, 8469, 17, 204, 3609, 8546, 17, 440, 1236, 1439, 17, 397, 275, 283, 494, 267, 1240, 8469, 204, 60, 1239, 273, 35099, 32, 329, 302, 275, 14067, 8469, 17, 204, 7002, 12365, 868, 29668, 88, 302, 2077, 15028, 32415, 17, 204, 13203, 874, 275, 283, 1268, 8078, 24480, 336, 440, 10865, 8469, 19, 204, 10492, 812, 1475, 6982, 275, 724, 360, 890, 302, 275, 8469, 17, 204, 15045, 275, 6247, 1009, 339, 29227, 17285, 302, 275, 8469, 19, 204, 39133, 368, 329, 435, 31, 313, 19, 56, 19, 35095, 363, 17, 1622, 673, 29386, 18658, 302, 871, 19, 39557, 415, 1771, 17921, 390, 1001, 204, 60, 281, 1130, 44060, 17, 1622, 673, 25497, 70, 302, 5868, 630, 204, 39133, 571, 329, 681, 31, 2232, 2298, 4596, 333, 267, 30660, 6455, 17, 1622, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4270, 19551, 360, 1001, 204, 3027, 29667, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 39133, 720, 329, 887, 31, 14150, 1130, 44060, 17, 1622, 673, 25497, 70, 302, 5868, 630, 204, 39538, 23393, 17166, 17, 1622, 673, 5179, 4208, 35305, 27569, 5424, 15167, 1001, 204, 39133, 1168, 329, 1132, 31, 39557, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 49, 454, 4596, 1816, 17, 1622, 1571, 22703, 8705, 929, 677, 46799, 21801, 550, 17, 332, 6527, 365, 515, 1001, 204, 39133, 1233, 329, 931, 31, 39557, 17, 13497, 313, 32966, 1013, 17, 1622, 50, 39742, 303, 884, 3417, 22785, 1001, 204, 39538, 3846, 1375, 1358, 905, 88, 17, 1622, 40494, 13809, 301, 1001, 204, 39133, 2958, 329, 1598, 31, 6901, 1144, 905, 88, 17, 1622, 5824, 275, 15955, 1001, 204, 6114, 2298, 4596, 333, 267, 30660, 6455, 17, 1622, 42, 21160, 2018, 366, 359, 288, 1001, 0, 18, 16274, 11243, 874, 273, 4968, 290, 360, 46207, 36, 204, 18, 2935, 353, 275, 12559, 292, 1214, 39275, 3250, 36, 204, 18, 2935, 5050, 302, 9712, 529, 4520, 808, 12559, 36, 204, 18, 16274, 11243, 874, 275, 1729, 542, 302, 15911, 36, 204, 18, 2935, 353, 275, 3406, 1376, 12559, 292, 1214, 2484, 36, 204, 18, 2026, 770, 872, 6721, 397, 872, 529, 21749, 36, 204, 18, 2935, 353, 275, 6726, 12559, 292, 275, 2484, 36, 204, 18, 2026, 770, 382, 26736, 2745, 17265, 6022, 360, 2482, 354, 36, 204, 18, 12322, 872, 1182, 21749, 397, 872, 4006, 884, 89, 874, 17265, 6022, 360, 2482, 354, 36, 204, 18, 2935, 1583, 490, 1869, 397, 872, 4006, 884, 89, 874, 273, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4208, 490, 3094, 311, 874, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4128, 872, 874, 970, 17265, 6022, 360, 2482, 354, 36, 204, 18, 4128, 872, 5794, 2900, 15911, 36, 204, 18, 16274, 275, 18538, 302, 275, 17265, 6022, 360, 2482, 354, 4767, 42727, 329, 6468, 366, 8001, 36, 204, 18, 4128, 872, 874, 1698, 1051, 17265, 6022, 360, 2482, 354, 36, 204, 8772, 11243, 874, 273, 4968, 290, 360, 46207, 36, 204, 673, 4968, 290, 360, 12559, 329, 46207, 4930, 19264, 292, 275, 3466, 302, 275, 2074, 75, 17, 1283, 275, 970, 11879, 302, 275, 357, 812, 12031, 83, 547, 5717, 19, 204, 25243, 17177, 17, 3332, 931, 10, 311, 1199, 10, 302, 275, 3390, 353, 9596, 2900, 4968, 290, 360, 15911, 19, 204, 2204, 5701, 1051, 292, 1236, 2501, 13605, 27864, 17, 4260, 292, 275, 2482, 521, 3697, 3018, 1047, 204, 3728, 353, 275, 12559, 292, 1214, 39275, 3250, 36, 204, 673, 12952, 276, 2147, 1460, 21081, 360, 26547, 7686, 311, 275, 15016, 730, 1593, 301, 322, 291, 31974, 12559, 659, 23545, 275, 31974, 329, 39275, 17, 329, 630, 530, 1749, 311, 275, 1034, 302, 275, 1350, 1922, 12790, 19, 12694, 4408, 4263, 353, 311, 36560, 275, 39275, 17, 329, 490, 618, 1340, 311, 2284, 275, 39275, 8206, 275, 22955, 19, 204, 3728, 5050, 302, 9712, 529, 4520, 808, 12559, 36, 204, 38, 1481, 931, 311, 2153, 841, 1762, 302, 1880, 529, 4520, 808, 12559, 523, 1051, 521, 1855, 302, 1017, 14898, 19, 3846, 4520, 275, 12559, 5409, 884, 89, 1895, 275, 1874, 39412, 19, 334, 12559, 353, 273, 40922, 608, 302, 2077, 21086, 1415, 1376, 4494, 19497, 348, 31463, 19, 4253, 8489, 490, 618, 444, 1193, 14392, 311, 275, 39275, 19, 204, 8772, 11243, 874, 275, 1729, 542, 302, 15911, 36, 204, 14206, 6651, 1259, 496, 1422, 529, 1048, 34516, 6860, 45398, 15911, 292, 275, 3651, 2484, 17, 9504, 1429, 11057, 1307, 719, 311, 448, 1910, 448, 48722, 19, 9517, 10303, 1901, 7330, 874, 275, 1729, 4303, 758, 302, 15911, 17, 1422, 353, 1429, 23616, 497, 1051, 1874, 311, 3161, 19, 204, 3728, 353, 275, 3406, 1376, 12559, 292, 1214, 2484, 36, 204, 673, 12997, 6022, 360, 2482, 354, 12559, 6944, 497, 275, 39275, 311, 275, 31974, 19, 14614, 931, 10, 302, 9712, 770, 508, 874, 490, 19, 828, 872, 3022, 275, 1818, 302, 1214, 39275, 523, 273, 1435, 329, 2601, 1214, 22955, 311, 1214, 24180, 94, 17, 872, 1741, 3020, 273, 8072, 302, 12559, 2287, 719, 523, 1214, 39275, 19, 7054, 353, 273, 33521, 352, 464, 12559, 3250, 275, 12997, 6022, 360, 2482, 354, 19, 204, 2920, 770, 872, 6721, 397, 872, 529, 21749, 36, 204, 1036, 38028, 3665, 884, 358, 471, 27155, 448, 273, 6909, 673, 15847, 31, 3665, 2379, 1415, 872, 529, 19, 9517, 3665, 2379, 2075, 872, 3480, 19, 9517, 3665, 5506, 2090, 872, 884, 272, 1273, 872, 884, 272, 17870, 311, 444, 19, 9517, 3665, 8732, 872, 529, 292, 3326, 302, 275, 8411, 292, 1214, 3307, 19, 9517, 8800, 3307, 353, 758, 719, 523, 1214, 3346, 3099, 19, 9517, 8800, 3307, 353, 1182, 3277, 19, 9517, 8800, 10683, 3472, 11821, 9295, 1877, 872, 758, 1475, 19, 13936, 2696, 5013, 8617, 204, 3728, 353, 275, 6726, 12559, 292, 275, 2484, 36, 204, 88, 514, 276, 5717, 673, 6726, 12559, 292, 1214, 2484, 353, 275, 297, 514, 276, 5717, 17, 273, 2482, 14637, 12559, 496, 6944, 1873, 275, 1277, 302, 275, 3482, 377, 1267, 17, 21900, 275, 4342, 1873, 311, 275, 6204, 302, 275, 28240, 19, 334, 4408, 3263, 302, 275, 297, 514, 276, 1750, 529, 28240, 12952, 288, 329, 25842, 12952, 288, 329, 1093, 2750, 19, 204, 2920, 770, 382, 26736, 2745, 17265, 6022, 360, 2482, 354, 36, 204, 14324, 368, 12351, 1200, 7998, 521, 18282, 17, 14444, 275, 9739, 292, 6509, 302, 872, 329, 440, 273, 8106, 11586, 521, 23391, 685, 31974, 17, 3074, 275, 39275, 1025, 5674, 329, 732, 275, 904, 1922, 311, 9561, 275, 39275, 8206, 872, 311, 2931, 275, 16044, 322, 34039, 6022, 360, 13432, 354, 789, 204, 18696, 872, 1182, 21749, 397, 872, 4006, 884, 89, 874, 17265, 6022, 360, 2482, 354, 36, 204, 837, 2077, 8812, 2527, 17, 311, 444, 2824, 19, 9517, 828, 872, 3020, 273, 7514, 8072, 292, 275, 4876, 302, 1214, 39275, 17, 872, 874, 275, 46207, 4851, 311, 1214, 3848, 18, 339, 773, 12997, 6022, 360, 2482, 354, 19, 828, 872, 4006, 884, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 89, 2317, 378, 6499, 2103, 17, 872, 884, 272, 39789, 19, 204, 3728, 1583, 490, 1869, 397, 872, 4006, 884, 89, 874, 273, 17265, 6022, 360, 2482, 354, 36, 204, 7637, 6284, 302, 275, 12997, 6022, 360, 2482, 354, 1583, 508, 874, 437, 2620, 523, 42727, 8001, 19, 334, 12997, 6022, 360, 2482, 354, 12559, 618, 444, 5298, 560, 27176, 275, 36968, 302, 275, 12044, 14992, 329, 22955, 329, 12952, 299, 275, 39275, 19, 334, 46207, 17, 397, 3113, 17, 1120, 444, 9455, 292, 275, 4210, 1054, 302, 275, 39833, 39275, 19, 204, 4947, 490, 3094, 311, 874, 17265, 6022, 360, 2482, 354, 36, 204, 23, 19, 415, 1889, 29014, 6906, 480, 36051, 3322, 19, 1058, 14637, 46207, 630, 530, 1749, 311, 275, 5533, 1653, 302, 275, 39275, 329, 353, 4520, 292, 1465, 2247, 2847, 302, 1880, 292, 273, 5411, 3220, 19, 9517, 1058, 5926, 5814, 490, 437, 10495, 3508, 348, 732, 292, 46207, 1065, 34020, 2404, 490, 618, 444, 1376, 448, 273, 8776, 13762, 292, 275, 2484, 2900, 1169, 3490, 19, 204, 7874, 872, 874, 970, 17265, 6022, 360, 2482, 354, 36, 204, 31151, 12997, 6022, 360, 2482, 354, 12559, 867, 1193, 292, 435, 4494, 19497, 292, 970, 11041, 310, 5792, 19, 13432, 40117, 43382, 329, 3697, 46207, 302, 12997, 6022, 360, 2482, 354, 12559, 867, 8696, 292, 1051, 302, 3528, 11041, 310, 5792, 1101, 292, 1855, 4494, 19497, 2617, 204, 7874, 872, 5794, 2900, 15911, 36, 204, 27398, 12559, 17, 9712, 2549, 508, 5794, 19, 334, 4408, 2624, 302, 12559, 353, 311, 2284, 275, 16995, 302, 275, 20984, 17, 1101, 15911, 1425, 9393, 275, 5557, 311, 16564, 329, 32982, 275, 12540, 302, 904, 3287, 29668, 20691, 19, 204, 8772, 275, 18538, 302, 275, 17265, 6022, 360, 2482, 354, 4767, 42727, 329, 6468, 366, 8001, 36, 204, 13096, 19, 334, 12997, 6022, 360, 2482, 354, 46207, 353, 275, 1901, 12283, 35451, 46207, 348, 15003, 545, 12686, 329, 1922, 26924, 15913, 19, 9517, 1058, 3220, 12938, 496, 18538, 302, 275, 12997, 6022, 360, 2482, 354, 353, 508, 3610, 440, 273, 10574, 302, 42727, 521, 6468, 366, 8001, 19, 204, 7874, 872, 874, 1698, 1051, 17265, 6022, 360, 2482, 354, 36, 204, 673, 12997, 6022, 360, 2482, 354, 322, 9667, 14, 12559, 353, 273, 3256, 2581, 17, 49003, 12952, 276, 12559, 302, 275, 4494, 3040, 6738, 9920, 353, 29467, 2547, 9693, 1554, 329, 292, 1910, 2910, 27401, 17, 4260, 794, 29901, 3483, 521, 308, 29901, 3483, 19, 0, 45, 35156, 2427, 1680, 2303, 9331, 88, 31, 334, 37826, 2416, 371, 89, 204, 30210, 4160, 5436, 17, 10599, 204, 3837, 884, 88, 5805, 872, 5508, 4030, 1465, 17519, 17, 1429, 302, 451, 1182, 32389, 447, 1194, 5261, 2317, 29444, 3450, 19, 45002, 17, 3682, 21125, 16001, 273, 5765, 1465, 275, 3511, 302, 29444, 3450, 19, 382, 874, 311, 29784, 17, 348, 437, 726, 496, 13909, 1702, 273, 21253, 4263, 292, 2077, 7977, 322, 34555, 448, 382, 17935, 6396, 14, 382, 16084, 28740, 447, 5680, 1465, 275, 11091, 302, 2077, 21246, 331, 5183, 8120, 19, 204, 11594, 275, 4710, 5576, 302, 29444, 3450, 353, 19542, 1666, 1750, 17, 24359, 273, 16711, 302, 6148, 5032, 2080, 10581, 373, 12556, 440, 303, 12972, 292, 275, 1818, 348, 41342, 5252, 448, 4744, 448, 571, 17, 1207, 565, 19, 40, 19, 15438, 4212, 87, 1224, 1466, 1425, 1193, 292, 273, 35424, 523, 2427, 356, 496, 867, 5082, 3332, 368, 17, 16712, 565, 19, 40, 19, 1765, 273, 1335, 17, 29444, 3450, 1466, 273, 31821, 302, 275, 31363, 19, 1547, 19395, 884, 89, 3119, 275, 2153, 427, 6129, 17, 1330, 12014, 884, 88, 16773, 1504, 46, 47669, 273, 2871, 440, 273, 42719, 8944, 5955, 692, 16386, 17, 496, 273, 1182, 1622, 35760, 1001, 36599, 867, 9596, 19, 10303, 21056, 6901, 8705, 3548, 1333, 25811, 275, 1043, 6491, 302, 273, 18544, 578, 36599, 292, 2153, 5007, 17, 23415, 346, 24929, 880, 7001, 275, 387, 18, 19918, 9669, 1683, 275, 36599, 26136, 311, 3326, 37723, 7510, 2031, 2181, 5287, 19, 33978, 275, 1136, 302, 275, 1916, 427, 6129, 17, 18544, 578, 29444, 3450, 1466, 13405, 1182, 7458, 19, 204, 5399, 884, 88, 437, 9764, 4577, 302, 36599, 1659, 19019, 348, 872, 5013, 292, 275, 34371, 88, 17, 27996, 23071, 36881, 273, 11343, 903, 2228, 311, 2270, 17286, 10183, 292, 4109, 23516, 12997, 33534, 19, 334, 903, 2228, 1675, 3098, 20228, 4569, 41342, 18, 5969, 292, 15324, 19, 7953, 588, 36, 14083, 346, 5603, 19, 204, 16901, 275, 1199, 427, 6129, 17, 18544, 39178, 17, 1913, 18, 1612, 336, 2263, 24209, 329, 36599, 4960, 17768, 4327, 311, 275, 36802, 302, 29444, 3450, 496, 572, 830, 10582, 5319, 19, 592, 275, 4210, 18, 3276, 88, 17, 13530, 7568, 275, 10754, 15868, 5102, 311, 4426, 275, 1622, 737, 18, 2788, 1001, 29444, 3450, 496, 732, 1465, 4315, 448, 3171, 2263, 448, 275, 3090, 1094, 19, 9419, 1422, 529, 1429, 1880, 496, 4627, 490, 884, 88, 690, 311, 13776, 18544, 29444, 3450, 830, 4430, 3913, 311, 275, 3403, 1690, 302, 2263, 496, 353, 322, 85, 619, 271, 275, 16544, 14, 41951, 19, 387, 1980, 438, 5194, 329, 10590, 18, 36424, 11366, 8720, 273, 12479, 8318, 27050, 17, 754, 353, 490, 690, 311, 303, 8391, 2077, 40710, 1750, 18544, 299, 29444, 3450, 348, 1182, 37452, 18, 18418, 18814, 36, 4596, 1428, 3987, 685, 18544, 299, 29444, 3450, 329, 35928, 11576, 497, 9943, 10590, 17, 1622, 41570, 4132, 38012, 1001, 11845, 2549, 1814, 10590, 1025, 29405, 329, 29215, 5859, 1025, 2347, 496, 2549, 1523, 27784, 521, 3702, 719, 11522, 19, 204, 11926, 3483, 17, 382, 4006, 884, 89, 2379, 1465, 1622, 41570, 4132, 38012, 3582, 382, 884, 82, 1182, 1194, 10048, 311, 43511, 17, 382, 11278, 719, 1363, 38800, 2263, 329, 382, 4006, 884, 89, 10312, 448, 3171, 448, 382, 1376, 311, 20921, 311, 3566, 17422, 2317, 1101, 22275, 440, 2745, 18544, 36599, 36, 6, 7054, 4230, 444, 273, 1660, 1048, 275, 1007, 19, 204, 3728, 770, 872, 4030, 36, 0, 531, 1498, 532, 783, 204, 531, 4028, 532, 20351, 204, 531, 2573, 532, 5782, 204, 204, 676, 42595, 13, 5346, 330, 204, 264, 320, 5272, 273, 2786, 8415, 1279, 204, 264, 13195, 7622, 56, 289, 379, 45, 0 ]

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