Datasets:
ttnksm
/
lease_sk_ner_emph_all_test

Dataset card Viewer Files Community
1
document_id
stringlengths
7
7
chunk_number
int64
0
4
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
labels
sequencelengths
512
512
4814875
0
[ 0, 50264, 1182, 50276, 36828, 45225, 2334, 267, 16648, 631, 7495, 311, 2613, 281, 2158, 40107, 13657, 1745, 1783, 1182, 50267, 1182, 50279, 1182, 50223, 50278, 1182, 50266, 508, 5, 292, 196, 1105, 39330, 612, 1182, 50277, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 82, 1182, 23077, 24504, 6653, 259, 94, 856, 158, 5, 28913, 19088, 6, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 50223, 379, 30787, 22599, 50223, 190, 4083, 6284, 3333, 146, 16774, 6620, 16851, 462, 14643, 50244, 1182, 50264, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50267, 1182, 50223, 50266, 13894, 922, 922, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50276, 15650, 45926, 35852, 1182, 50277, 1182, 50265, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 50276, 1182, 48870, 25177, 1182, 50277, 29897, 1672, 1182, 50276, 1182, 50250, 1182, 50277, 1182, 50191, 50223, 50264, 119, 5, 1182, 50276, 2515, 2364, 2693, 1182, 50277, 1182, 50265, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 50264, 27921, 325, 1182, 50209, 11170, 4, 1427, 32218, 45926, 35852, 1182, 50265, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 50264, 236, 5, 1260, 5, 1250, 6503, 1182, 50265, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50265, 1182, 50223, 50264, 4458, 6666, 6, 5204, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 50264, 311, 2201, 248, 488, 508, 5, 1426, 1182, 50265, 84, 1182, 50264, 14630, 4, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 1182, 50265, 84, 1182, 50264, 10742, 508, 5, 107, 1182, 50265, 84, 50264, 7, 25797, 50244, 45926, 35852, 1182, 50267, 1182, 50223, 50266, 1182, 27, 27921, 325, 12264, 551, 1182, 50265, 84, 23, 4301, 597, 1182, 50264, 11840, 9609, 2491, 6, 1182, 50265, 1182, 50264, 2364, 28851, 1998, 45993, 1182, 50265, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4814875
1
[ 0, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 713, 237, 1157, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 50264, 29, 446, 5, 10044, 5, 1508, 2659, 18, 564, 5, 10044, 5, 1508, 4708, 1182, 50265, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 50264, 45, 1493, 655, 4, 668, 2845, 1182, 50265, 44, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 1182, 50265, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 10717, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 10, 5336, 82, 2552, 1100, 1301, 29897, 2875, 4, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 6, 1361, 50223, 209, 643, 50223, 379, 37884, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 28, 27414, 423, 50223, 96, 7956, 168, 6, 1361, 708, 10717, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4814875
2
[ 0, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 4, 438, 50223, 944, 50223, 4468, 956, 991, 7509, 453, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 4, 10, 2933, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 28, 23486, 50223, 929, 15870, 116, 50223, 11581, 148, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 50245, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 874, 19088, 5, 50223, 497, 5, 1368, 29897, 1672, 19794, 82, 1744, 352, 5, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4814884
0
[ 0, 50264, 1182, 50276, 36828, 45225, 2334, 267, 16648, 631, 7495, 311, 2613, 281, 2158, 40107, 13657, 1745, 1783, 1182, 50267, 1182, 50279, 1182, 50223, 50278, 1182, 50266, 508, 5, 292, 196, 1105, 1164, 1250, 1182, 50277, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 82, 1182, 23077, 24504, 6653, 259, 94, 856, 158, 5, 28913, 19088, 6, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 50223, 379, 30787, 22599, 50223, 190, 4083, 6284, 3333, 146, 16774, 6620, 16851, 462, 14643, 50244, 1182, 50264, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50267, 1182, 50223, 50266, 13894, 922, 922, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50276, 15650, 45926, 35852, 1182, 50277, 1182, 50265, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 50276, 1182, 48870, 25177, 1182, 50277, 29897, 1672, 1182, 50276, 1182, 50250, 1182, 50277, 1182, 50191, 50223, 50264, 119, 5, 1182, 50276, 1150, 19532, 21021, 3046, 1182, 50277, 1182, 50265, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 50264, 1962, 41290, 16866, 1961, 50209, 6503, 444, 4, 20203, 2458, 444, 268, 16265, 1718, 1182, 50265, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 50264, 950, 5, 7062, 5, 1250, 14018, 1182, 50265, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50265, 1182, 50223, 50264, 4458, 6666, 6, 5204, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 50264, 311, 2201, 248, 488, 508, 5, 2466, 497, 1182, 50265, 84, 1182, 50264, 2466, 528, 4, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 1182, 50265, 84, 1182, 50264, 10742, 508, 5, 107, 1182, 50265, 84, 50264, 7, 25797, 50244, 1182, 50267, 1182, 50223, 50266, 45926, 35852, 1182, 27, 27921, 325, 12264, 551, 1182, 50265, 84, 23, 4301, 597, 1182, 50264, 552, 132, 3237, 6272, 6, 1182, 50265, 1182, 50264, 2220, 6078, 12531, 520, 45073, 1182, 50265, 1182, 50223, 50189, 32092, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4814884
1
[ 0, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 713, 237, 1157, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 50264, 29, 658, 5, 1260, 5, 1508, 3100, 18, 446, 5, 1260, 5, 1508, 4549, 1182, 50265, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 50264, 45, 1493, 609, 4, 668, 2845, 1182, 50265, 44, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 1182, 50265, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 10717, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 10, 5336, 82, 2552, 1100, 1301, 29897, 2875, 4, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 6, 1361, 50223, 209, 643, 50223, 379, 37884, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4814884
2
[ 0, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 4, 438, 50223, 944, 50223, 4468, 956, 991, 7509, 453, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 4, 10, 2933, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 28, 23486, 50223, 929, 15870, 116, 50223, 11581, 148, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 50245, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4818891
0
[ 0, 50264, 3206, 7956, 96, 5885, 508, 5, 119, 50209, 1508, 2659, 1182, 50267, 1182, 50223, 50266, 7, 9784, 8869, 639, 1134, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 8, 2185, 1182, 23077, 24504, 6653, 259, 6, 145, 158, 5, 1556, 14556, 425, 19088, 6, 638, 508, 5, 2247, 253, 50209, 10673, 239, 5, 100, 5, 17, 50223, 379, 30787, 22599, 50223, 50264, 34124, 7306, 400, 1182, 50244, 1182, 50267, 1182, 50223, 50266, 107, 5, 37442, 654, 13164, 1672, 50244, 4578, 212, 5838, 579, 1182, 50265, 1182, 50223, 290, 13322, 406, 44889, 1114, 1182, 27, 5176, 5, 45701, 33624, 391, 4, 19198, 5, 50223, 12959, 1034, 5668, 1182, 50244, 33978, 3566, 558, 4, 6, 5, 12, 5, 50223, 234, 5, 293, 32942, 1182, 50244, 17859, 7220, 11348, 35062, 50209, 14018, 668, 50223, 272, 24069, 1182, 50244, 2985, 259, 3410, 196, 1164, 5, 5, 5, 5, 5, 50223, 182, 15563, 1182, 50244, 5476, 1659, 5466, 4228, 50223, 50209, 544, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 1182, 50209, 50223, 50264, 119, 44, 1514, 7956, 165, 1182, 50244, 9512, 596, 701, 173, 1182, 50265, 1182, 50223, 1251, 8226, 9728, 1182, 50244, 50223, 192, 5838, 579, 508, 5, 4120, 196, 50223, 1196, 10043, 11833, 212, 5838, 579, 50223, 50209, 544, 36, 1182, 48870, 25177, 7509, 165, 48870, 19594, 1182, 50209, 50223, 50264, 186, 5, 30934, 315, 3692, 16648, 631, 19995, 1182, 50265, 1182, 50223, 79, 713, 237, 1157, 17998, 133, 2031, 29897, 1672, 7509, 2042, 18, 34345, 8869, 248, 488, 23, 50223, 293, 21854, 68, 13458, 449, 4418, 44092, 269, 33, 4418, 8224, 269, 7, 25797, 8, 212, 5838, 6945, 7, 50223, 2975, 35090, 292, 50209, 253, 5, 50223, 50272, 1182, 50264, 258, 4520, 6, 9354, 1182, 50244, 6516, 596, 701, 520, 4, 12624, 5, 44, 212, 5838, 579, 508, 5, 352, 4, 1182, 50189, 5075, 7830, 658, 5, 10582, 5, 1508, 2659, 50191, 1182, 50273, 1182, 50267, 1182, 50223, 50266, 2038, 5, 19635, 3570, 16648, 631, 19995, 1182, 50265, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1182, 50264, 1785, 13907, 1182, 50265, 6, 3199, 9, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 1182, 50209, 236, 167, 1182, 50209, 84, 93, 989, 508, 5, 40062, 50209, 10673, 239, 5, 100, 5, 17, 15762, 22599, 22493, 46761, 660, 5, 50223, 50264, 1182, 50272, 119, 5, 34400, 933, 8869, 639, 1134, 1628, 864, 50244, 387, 5, 10582, 5, 1508, 2659, 5, 1182, 50273, 1182, 50265, 1182, 50223, 50264, 7085, 5, 33148, 729, 2316, 16648, 631, 3813, 11160, 4590, 1182, 50265, 1182, 50223, 253, 5, 3023, 1363, 7509, 168, 23, 7509, 8869, 639, 1134, 50272, 1182, 50264, 29, 387, 5, 10582, 5, 1508, 2659, 18, 580, 5, 10582, 5, 1508, 7590, 1182, 50191, 1182, 50273, 1182, 50265, 45, 1493, 50223, 828, 4, 668, 2845, 50209, 292, 167, 4, 10, 5336, 82, 1182, 23077, 24504, 704, 11009, 52, 9735, 168, 9820, 1114, 212, 5838, 579, 4, 508, 5, 50223, 196, 50209, 1508, 4135, 4, 42295, 508, 5, 107, 4, 744, 9, 39495, 35800, 1350, 5111, 38393, 536, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4818891
1
[ 0, 1114, 212, 5838, 579, 5, 50223, 196, 5, 550, 574, 1732, 34345, 10, 740, 22516, 34543, 4, 45, 1493, 34345, 82, 32175, 50223, 39963, 910, 1297, 10451, 168, 9820, 4, 744, 31, 6579, 572, 858, 34345, 8869, 422, 1220, 5, 50223, 50264, 10903, 5, 19981, 6740, 1372, 6265, 16648, 631, 19995, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 427, 1182, 50244, 50223, 71, 50191, 48627, 35206, 731, 9661, 5367, 2002, 1179, 20978, 4521, 4, 50223, 211, 50191, 939, 35206, 731, 8869, 248, 488, 6, 59, 25109, 73, 5651, 8, 6264, 51, 6, 1179, 7, 2101, 50223, 96, 10218, 4, 50223, 134, 50191, 17717, 731, 8869, 248, 488, 82, 7509, 116, 1157, 4, 50223, 201, 50191, 465, 18798, 731, 6208, 9798, 7011, 7, 8869, 1323, 750, 6, 7011, 518, 8869, 639, 50223, 1751, 467, 188, 60, 20069, 19865, 20978, 4521, 4, 50223, 179, 50191, 143, 4988, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 4, 39, 31, 740, 7, 50223, 1330, 282, 21403, 4, 50223, 235, 50191, 939, 35206, 731, 5111, 6, 14431, 731, 35954, 38393, 536, 305, 5, 50223, 196, 5, 21234, 38393, 536, 305, 438, 3334, 303, 15778, 7509, 116, 1157, 1228, 30, 50223, 205, 2201, 6440, 37311, 6, 13242, 6334, 9, 9334, 28693, 18, 8869, 422, 1220, 84, 640, 4927, 4, 50223, 424, 10, 740, 3334, 10102, 34891, 38393, 536, 305, 5, 267, 3249, 5395, 12701, 50223, 278, 2933, 3734, 11850, 6603, 7509, 453, 5, 267, 34, 6252, 701, 5395, 12701, 18, 50223, 205, 2201, 639, 1134, 4, 10, 16201, 20978, 4521, 2933, 19276, 11850, 6603, 50223, 96, 7956, 453, 5, 50223, 259, 5, 1514, 7956, 165, 5764, 7, 8564, 4, 13, 59, 3401, 18254, 2431, 5069, 14, 10, 2933, 28, 36987, 7, 2101, 50223, 96, 10218, 5, 225, 1402, 654, 13164, 1672, 27292, 23, 44933, 9602, 4, 1396, 5, 39444, 2856, 5, 50223, 50264, 159, 5, 130, 27862, 1025, 21494, 16648, 631, 3813, 11160, 4590, 27577, 5004, 44360, 280, 1182, 50265, 1182, 50223, 253, 5, 1514, 7956, 165, 141, 17998, 11668, 8869, 248, 488, 19894, 7509, 2042, 7, 713, 2106, 19533, 50223, 465, 5128, 14944, 5, 50223, 196, 5, 330, 25808, 7509, 453, 8869, 639, 1134, 62, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 50223, 100, 32445, 465, 7, 8869, 248, 488, 37741, 2069, 4, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 50223, 299, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 7, 46318, 7509, 116, 1157, 375, 10381, 50223, 4326, 52, 30207, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 1134, 5, 50223, 259, 5, 37442, 654, 13164, 1672, 10, 2933, 3734, 16069, 7509, 453, 4, 13, 28013, 591, 19917, 4, 7, 376, 10, 34543, 50223, 290, 5012, 287, 4, 5617, 416, 2535, 67, 46622, 237, 12621, 5, 50223, 328, 5, 37442, 654, 13164, 1672, 10, 2933, 3734, 11850, 16069, 7509, 453, 7, 16268, 541, 7509, 116, 50223, 100, 32445, 465, 4, 2330, 1794, 1405, 11910, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 266, 5, 37442, 654, 13164, 1672, 121, 38351, 7509, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4818891
2
[ 0, 3936, 1783, 474, 48918, 2169, 1182, 50265, 1182, 50223, 253, 5, 1303, 5885, 26545, 15372, 6, 8618, 7671, 14039, 627, 237, 1157, 5, 50223, 196, 5, 28252, 6, 11175, 81, 30, 237, 8195, 1088, 274, 8380, 176, 3279, 4, 660, 31, 46614, 5, 50223, 259, 5, 32, 265, 4, 13, 21, 1245, 15, 19362, 99, 46614, 4, 10, 46614, 188, 8, 237, 530, 5, 50223, 328, 5, 17412, 177, 6, 3488, 22983, 1572, 3507, 21737, 42015, 572, 9, 4295, 407, 50223, 88, 43071, 449, 63, 28913, 19088, 4, 638, 508, 5, 2247, 253, 50209, 10673, 239, 5, 155, 5, 17, 15762, 22599, 6, 50223, 41096, 474, 1114, 212, 5838, 579, 508, 5, 119, 50209, 1508, 4135, 50223, 266, 5, 1514, 7956, 165, 8, 2185, 1182, 23077, 24504, 497, 638, 508, 5, 6503, 196, 50209, 15024, 239, 5, 155, 5, 17, 3556, 1725, 1049, 1406, 50223, 4595, 2186, 68, 7, 237, 8195, 10059, 84, 13, 14368, 60, 26240, 3273, 59, 1725, 50223, 293, 4407, 137, 29897, 4852, 8, 3331, 1049, 5630, 38, 45610, 22983, 1572, 237, 50223, 100, 32445, 465, 6, 8, 12236, 508, 5, 2247, 253, 50209, 10673, 239, 5, 100, 5, 17, 15762, 22599, 7, 5204, 4176, 549, 1049, 8, 50223, 179, 48895, 812, 7509, 460, 6, 3336, 116, 6626, 16995, 7509, 453, 7, 3181, 12368, 237, 1157, 4, 50223, 16172, 481, 24794, 8, 36095, 7509, 460, 4, 6, 11, 303, 15778, 237, 1157, 4, 50223, 4326, 52, 30207, 72, 18, 12621, 37780, 627, 331, 16958, 4089, 6754, 7, 713, 237, 50223, 100, 32445, 465, 5, 529, 29843, 1334, 240, 2522, 1222, 7509, 453, 15, 13500, 4476, 50223, 147, 1402, 654, 13164, 2875, 15582, 572, 5, 3206, 7956, 165, 141, 14315, 2931, 384, 10576, 346, 4293, 28, 50223, 88, 1282, 3461, 9753, 1157, 6, 16546, 10885, 331, 16958, 5, 50223, 444, 5, 6869, 3305, 25888, 28444, 400, 14451, 4, 2029, 4, 629, 6, 13938, 5575, 35985, 27027, 4, 13, 50223, 854, 22685, 43, 19280, 17723, 4, 17, 21205, 6, 3831, 381, 65, 8, 1860, 4160, 15677, 50223, 320, 16036, 12240, 5, 37141, 124, 1157, 28, 33581, 6, 10534, 423, 102, 3831, 7, 7961, 7663, 50223, 100, 47701, 462, 14643, 42022, 5, 50223, 497, 5, 1303, 5885, 10, 8868, 406, 8, 556, 2557, 2186, 553, 4, 15, 349, 260, 2557, 2186, 456, 23286, 50223, 96, 7956, 165, 6, 260, 2557, 2186, 29897, 1672, 5, 50223, 32, 212, 5838, 6945, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4819202
0
[ 0, 21702, 107, 15, 236, 50223, 50264, 3206, 7956, 96, 5885, 1182, 50267, 1182, 50223, 50266, 6, 5885, 17, 15118, 8195, 17, 30797, 778, 168, 5444, 10236, 1182, 50267, 1182, 50223, 50266, 508, 5, 390, 155, 50209, 5728, 27, 2247, 3410, 27, 1508, 2659, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 82, 1182, 23077, 24504, 6653, 259, 8, 10671, 12, 1182, 23077, 24504, 655, 71, 638, 508, 5, 857, 50209, 24393, 10833, 5, 28913, 19088, 8, 50223, 100, 3473, 6284, 3333, 50223, 50272, 1182, 50249, 50249, 50249, 318, 1970, 5269, 922, 155, 36540, 280, 23109, 50256, 50256, 50256, 474, 155, 922, 20323, 922, 281, 13338, 922, 500, 276, 24167, 922, 8624, 922, 9901, 922, 50258, 50258, 50258, 1182, 50273, 1182, 50223, 50264, 225, 1402, 654, 13164, 1672, 50244, 1182, 50265, 1182, 50223, 31660, 6, 9354, 50244, 1182, 50264, 37455, 130, 29022, 153, 1182, 50265, 1182, 50223, 50189, 32092, 36, 19, 1182, 50264, 1182, 48870, 25177, 1182, 50276, 29897, 1672, 1182, 50277, 1182, 48870, 19594, 1182, 50209, 1182, 48870, 25177, 1182, 50276, 2933, 1182, 50277, 1182, 48870, 19594, 1182, 50265, 8, 34448, 2767, 294, 6437, 7837, 50191, 50223, 71, 50223, 50264, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 50244, 1182, 50264, 19345, 21488, 29217, 31008, 158, 13694, 4, 12, 5, 997, 5, 17, 5, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 12441, 325, 1715, 609, 4, 430, 4135, 3317, 842, 1182, 27, 20575, 637, 36903, 50223, 48573, 194, 4386, 135, 6779, 50244, 11680, 5, 5176, 5, 44813, 2054, 6794, 1182, 48870, 25877, 36153, 50223, 272, 24069, 50244, 5184, 3811, 266, 11848, 259, 50223, 182, 15563, 50244, 704, 196, 2342, 528, 2342, 7473, 50223, 15563, 4035, 50244, 3218, 196, 1260, 2342, 528, 2342, 7473, 50223, 367, 15198, 1013, 50244, 8, 10584, 161, 16590, 29112, 1972, 842, 7085, 4, 10157, 5, 50244, 130, 270, 4, 34179, 50223, 234, 5, 50244, 31775, 1260, 612, 50209, 281, 50223, 12959, 1034, 5668, 50244, 14338, 3566, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 2267, 24090, 2985, 668, 2985, 4708, 3872, 1260, 3914, 15594, 50223, 50189, 32092, 36, 19, 1182, 50264, 1182, 48870, 25177, 1182, 50276, 7509, 165, 1182, 50277, 1182, 48870, 19594, 1182, 50209, 1182, 48870, 25177, 1182, 50276, 10260, 1182, 50277, 1182, 48870, 19594, 1182, 50265, 8, 34448, 2767, 294, 6437, 7837, 50191, 50223, 50189, 32092, 393, 16, 19, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 28444, 400, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 1210, 7841, 407, 4, 13, 31, 3079, 8688, 183, 30, 26245, 635, 19009, 6, 21374, 5694, 8, 2332, 12, 11179, 5, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 50223, 190, 10671, 12, 11179, 5, 1182, 23077, 24504, 655, 71, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 1182, 48870, 25877, 28913, 19088, 8, 4083, 6284, 50223, 100, 9568, 6, 12697, 4, 706, 3305, 17, 14523, 87, 6967, 6, 17, 12637, 30797, 778, 168, 5444, 10236, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 5885, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 50244, 50223, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4819202
1
[ 0, 19345, 21488, 29217, 31008, 158, 13694, 4, 12, 5, 199, 5, 143, 5, 10, 46151, 43521, 17, 40526, 19813, 812, 7, 50223, 21277, 2574, 4574, 12, 1885, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 6, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 27, 50223, 2348, 3368, 3864, 1301, 48870, 19594, 5, 26554, 869, 926, 47985, 508, 5, 12772, 196, 50209, 1508, 4135, 77, 864, 50223, 3410, 5, 1260, 5, 1508, 4135, 11204, 22737, 7, 5920, 43521, 17, 40526, 19813, 812, 24, 9454, 540, 50223, 1873, 15927, 12, 1885, 3575, 8825, 2589, 4925, 19345, 21488, 1182, 50189, 32092, 16, 36, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 50191, 6, 50223, 96, 8726, 52, 6510, 4975, 333, 32267, 864, 1280, 5, 1260, 5, 1508, 4135, 39253, 17, 40526, 50223, 209, 348, 1671, 812, 24, 9454, 540, 1601, 12, 1885, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 4, 108, 12966, 50223, 828, 266, 3192, 266, 50209, 1508, 4135, 27, 9558, 3192, 27, 3100, 7220, 7760, 4, 39, 99, 25717, 5085, 5524, 4975, 333, 17, 2909, 50223, 1077, 1330, 3439, 17, 40526, 12411, 508, 5, 236, 3294, 266, 50209, 1508, 3410, 27, 9558, 3192, 27, 7220, 2267, 266, 77, 864, 7000, 5, 10582, 5, 1508, 3410, 3572, 287, 6, 50223, 5170, 4975, 333, 32267, 864, 7000, 5, 10582, 5, 1508, 3410, 39253, 17, 40526, 19813, 812, 24, 50223, 209, 34623, 540, 1601, 12, 1885, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 4, 108, 12966, 236, 3294, 266, 50209, 1508, 3410, 27, 9558, 3192, 27, 50223, 7220, 2267, 497, 5, 26554, 869, 926, 47985, 508, 5, 857, 259, 50209, 1508, 3410, 15, 387, 5, 1364, 39860, 11204, 22737, 7, 50223, 22176, 119, 15, 828, 50223, 100, 24817, 43521, 17, 40526, 19813, 812, 7, 9454, 540, 1601, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 4, 50223, 96, 8726, 52, 6510, 4975, 869, 926, 32267, 864, 894, 5, 9587, 5, 1508, 3410, 3572, 287, 50223, 1077, 1330, 1891, 508, 5, 236, 3294, 266, 50209, 1508, 3410, 27, 9558, 3192, 27, 497, 2659, 3192, 5, 26554, 869, 926, 47985, 508, 5, 3498, 253, 50209, 1508, 3410, 15, 50223, 1260, 5, 1449, 39860, 11204, 22737, 7, 2352, 43521, 17, 40526, 19813, 812, 7, 9454, 540, 50223, 1873, 15927, 1182, 48870, 25177, 6232, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 4, 1767, 6510, 4975, 869, 50223, 170, 21605, 81, 32267, 864, 727, 5, 828, 5, 1508, 3410, 3572, 287, 39253, 508, 5, 50244, 236, 3294, 266, 50209, 1508, 3410, 27, 9558, 3192, 27, 4348, 5307, 497, 1182, 50189, 32092, 36, 50223, 48870, 25177, 17508, 1330, 1891, 24, 3575, 8825, 2589, 4925, 19345, 21488, 48870, 19594, 50191, 82, 1182, 23077, 24504, 539, 1680, 5, 119, 8, 10671, 12, 1182, 23077, 24504, 429, 1680, 5, 107, 638, 50223, 234, 5, 3726, 253, 50209, 1508, 4135, 239, 5, 15, 5, 17, 12610, 19813, 3033, 1182, 50189, 32092, 16, 36, 1182, 48870, 25177, 10330, 17, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100 ]
4819202
2
[ 0, 1903, 20239, 3369, 6305, 116, 4873, 30, 7135, 1657, 50223, 2421, 3409, 168, 10948, 4574, 1182, 50264, 3575, 8825, 2967, 6354, 19345, 21488, 1182, 50265, 6, 1767, 33231, 50223, 294, 16681, 3369, 27708, 37780, 627, 16399, 4574, 5, 31669, 336, 10, 38418, 19813, 925, 6, 102, 50223, 88, 23018, 1266, 10, 45, 8710, 6318, 5, 50223, 50264, 1046, 47864, 186, 5, 1182, 50267, 1182, 50223, 50266, 30068, 73, 9661, 1182, 50265, 1182, 50223, 253, 5, 253, 225, 1402, 654, 13164, 1672, 10, 18953, 11053, 29654, 1821, 6967, 1182, 48870, 25877, 5304, 749, 3608, 50223, 299, 8, 20944, 161, 1716, 50264, 1815, 38713, 1243, 1182, 50265, 1719, 50264, 1815, 38713, 1243, 1182, 50265, 5547, 50264, 2629, 1182, 27, 5651, 1182, 50265, 29784, 3631, 50223, 190, 34848, 8472, 1200, 2188, 21251, 221, 15233, 50264, 2629, 1182, 27, 5651, 1182, 50265, 8, 16590, 50223, 53, 109, 29203, 910, 8634, 664, 50244, 50223, 22176, 150, 15, 828, 50223, 386, 32, 1046, 28978, 50223, 2975, 24655, 23248, 16624, 50223, 192, 474, 9503, 520, 50223, 929, 5048, 8, 50223, 105, 196, 39718, 248, 50223, 709, 6717, 8, 530, 50223, 281, 44748, 17881, 34908, 9174, 50223, 379, 3768, 22191, 50223, 379, 3164, 90, 50223, 3100, 14015, 236, 8727, 264, 1280, 14761, 107, 107, 50209, 259, 1435, 96, 29107, 50223, 3100, 14015, 446, 3018, 264, 894, 1260, 107, 107, 50209, 259, 1435, 96, 29107, 50223, 3018, 266, 658, 14092, 264, 411, 1635, 207, 107, 50209, 328, 1435, 96, 29107, 50223, 3100, 14015, 658, 12414, 264, 3872, 11170, 107, 107, 50209, 259, 1435, 96, 29107, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 10686, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 50264, 20500, 389, 113, 50244, 3206, 7956, 96, 5885, 1182, 50265, 1182, 50223, 50264, 1046, 47864, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 7509, 116, 1157, 1182, 50265, 1182, 50223, 196, 5, 253, 225, 1402, 654, 13164, 1672, 29897, 530, 8472, 2747, 8, 1973, 186, 5, 1680, 5, 107, 5, 253, 7509, 2042, 50223, 50264, 19345, 21488, 29217, 31008, 158, 13694, 4, 12, 5, 997, 5, 17, 5, 1182, 50265, 84, 12441, 325, 1715, 609, 4, 430, 4135, 3317, 842, 1182, 27, 20575, 637, 50223, 33953, 17632, 1182, 50189, 8523, 21725, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 24, 5204, 14990, 4574, 4, 95, 10, 38418, 19813, 925, 50223, 3760, 6807, 45, 8710, 6318, 4, 6, 11, 8, 3331, 7025, 5395, 8, 237, 34124, 348, 5, 50223, 196, 5, 196, 3300, 7271, 34345, 7, 43178, 5630, 8, 1973, 186, 5, 1680, 5, 107, 5, 253, 10, 2930, 1186, 3161, 8, 1962, 12628, 50223, 86, 21374, 2463, 47275, 9577, 1182, 48870, 25877, 46044, 14868, 7, 16211, 1182, 48870, 25177, 8610, 1695, 1862, 405, 36897, 5169, 21535, 192, 50223, 2334, 2161, 386, 7653, 903, 1182, 48870, 25877, 17955, 10731, 12570, 5770, 409, 1695, 729, 9997, 16949, 335, 1054, 1695, 48870, 19594, 82, 28417, 8463, 1182, 50244, 50223, 405, 276, 1253, 7854, 644, 50223, 31091, 1623, 7854, 644, 864, 37064, 80, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4819202
3
[ 0, 9293, 364, 4, 8, 648, 48, 7350, 50223, 16860, 2551, 319, 18, 2447, 8688, 597, 7, 15231, 17936, 5, 50223, 497, 5, 259, 3206, 7956, 165, 10, 2933, 12900, 29897, 11890, 9238, 4, 95, 11494, 7, 9134, 51, 34345, 6, 50223, 190, 265, 23936, 2720, 4950, 237, 5660, 198, 7076, 5, 50223, 497, 5, 328, 225, 1402, 654, 13164, 1672, 5764, 7, 8564, 6, 14368, 12, 171, 4, 13, 12, 4238, 7, 384, 3163, 8, 2185, 50223, 88, 43071, 449, 1182, 23077, 24504, 46118, 1680, 5, 119, 28913, 19088, 7, 7827, 12, 8126, 22815, 1623, 4, 50223, 71, 242, 12, 7182, 34345, 82, 237, 25312, 14368, 5, 50223, 497, 5, 266, 225, 1402, 654, 13164, 1672, 5764, 7, 8564, 6, 14368, 12, 171, 4, 13, 8, 601, 21142, 8158, 15333, 687, 50223, 2421, 510, 8, 13251, 6, 4507, 7550, 46234, 17196, 141, 22609, 9472, 540, 50223, 11473, 1231, 14868, 88, 12, 4878, 68, 7, 826, 43461, 50209, 118, 6, 617, 45829, 14868, 88, 50209, 137, 5, 3922, 2381, 96, 3835, 3331, 50223, 470, 6149, 168, 14868, 88, 48, 23212, 406, 11175, 275, 30, 237, 34124, 348, 82, 25511, 14868, 88, 50223, 24040, 510, 5, 159, 265, 2720, 1903, 8476, 687, 13845, 10657, 952, 11379, 9, 28444, 50223, 1638, 135, 6387, 4, 13, 7320, 164, 41556, 30, 237, 34124, 348, 5, 50223, 497, 5, 444, 225, 1402, 654, 13164, 1672, 2325, 7671, 28095, 237, 1157, 4314, 4293, 7509, 2042, 4, 41, 7, 50223, 1297, 12628, 237, 1157, 26148, 24, 9134, 1168, 9798, 13656, 4574, 1182, 50264, 9798, 1182, 50267, 1182, 50223, 50266, 7310, 1182, 50265, 6, 23014, 37319, 7383, 12253, 26122, 8472, 15, 23528, 7764, 50223, 71, 50209, 2800, 23014, 121, 701, 7383, 47042, 5304, 15, 12368, 1784, 7654, 5, 225, 1402, 654, 13164, 1672, 14368, 50223, 944, 15543, 4, 6042, 462, 46846, 4, 19, 16, 12, 6820, 1214, 5899, 13845, 60, 6042, 462, 50223, 6683, 1351, 7, 12253, 26122, 43178, 4, 19, 16, 12, 6252, 3991, 708, 39509, 4, 39, 375, 50223, 201, 16390, 52, 21755, 23, 5198, 6352, 31669, 510, 7025, 1674, 8, 237, 8195, 7, 50223, 88, 1330, 610, 43178, 7671, 19121, 481, 15345, 10948, 5, 50223, 497, 5, 497, 12256, 5885, 10, 24, 7509, 453, 4, 47, 10, 6042, 1821, 31669, 510, 16399, 8, 11007, 237, 1157, 4, 50223, 470, 32401, 30, 5304, 2747, 218, 8, 1973, 7085, 5, 1680, 5, 150, 5, 196, 237, 1157, 19, 517, 928, 82, 50223, 23077, 24504, 6361, 1680, 5, 119, 6, 1182, 23077, 24504, 46118, 1680, 5, 107, 4, 5183, 5, 6, 50191, 638, 508, 5, 655, 50209, 1250, 8291, 10833, 5, 17, 13532, 161, 41409, 50223, 71, 6042, 161, 1179, 1182, 50189, 2421, 3409, 80, 989, 50191, 8, 4083, 6284, 3333, 5, 50223, 497, 5, 528, 225, 1402, 654, 13164, 1672, 23087, 4, 13, 55, 10215, 33264, 7, 6296, 19620, 4, 13, 30, 22815, 7937, 4, 50223, 14155, 31, 7182, 237, 1157, 42704, 24796, 1042, 3497, 75, 138, 17111, 4, 7, 7499, 4, 1361, 50223, 86, 4288, 49119, 52, 2952, 1173, 4, 13, 1222, 8, 10419, 610, 18, 26838, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4819244
0
[ 0, 50264, 3206, 7956, 96, 5885, 1182, 50265, 1182, 50223, 50264, 17, 501, 87, 4104, 48017, 7, 34543, 7445, 84, 43683, 8, 2185, 638, 508, 5, 2627, 612, 50209, 29608, 1182, 50267, 1182, 50223, 50266, 10833, 5, 17, 37837, 30797, 8, 4083, 6284, 4291, 6, 12697, 4, 28913, 19088, 1182, 50267, 1182, 50223, 50266, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 8, 4083, 6284, 3333, 4, 39808, 5, 234, 5, 7590, 259, 50209, 10673, 239, 5, 100, 5, 5524, 2531, 4, 1182, 50267, 1182, 50223, 50266, 6352, 6, 16559, 4022, 333, 8, 4083, 6284, 3333, 6, 32175, 4872, 1182, 50267, 1182, 50223, 50266, 9735, 168, 9820, 1114, 15467, 701, 1243, 17, 3028, 11313, 42761, 47275, 4394, 5, 1182, 50265, 1182, 50223, 50264, 186, 5, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 1182, 50264, 1182, 50244, 15650, 15467, 701, 1243, 84, 11848, 259, 950, 15467, 701, 1243, 508, 5, 950, 328, 1182, 50265, 1182, 50223, 190, 42727, 247, 134, 5, 21818, 18034, 514, 199, 1099, 4, 9861, 1114, 50223, 272, 24069, 50244, 2985, 259, 4708, 266, 4549, 50223, 12959, 5482, 5668, 50244, 159, 8657, 25557, 5514, 9444, 50223, 234, 5, 293, 5, 186, 38810, 50244, 3218, 10582, 563, 7048, 2985, 668, 2985, 668, 800, 1260, 11848, 17033, 50223, 1514, 7956, 165, 1182, 50264, 1182, 50244, 6435, 13621, 9905, 12624, 5, 50244, 1182, 50265, 1182, 50223, 199, 5, 234, 5, 50244, 40212, 21, 455, 15467, 701, 1243, 508, 5, 1182, 50264, 800, 266, 50209, 497, 1182, 50265, 1182, 50223, 71, 3513, 3681, 9665, 4980, 13856, 38, 19269, 2691, 5, 50223, 50264, 1046, 158, 5, 50244, 10311, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 19964, 27870, 1374, 31, 147, 5, 508, 5, 1182, 50264, 800, 266, 1182, 50265, 84, 3648, 391, 9, 7, 826, 35090, 50223, 234, 5, 429, 7565, 4, 29784, 3631, 8, 44748, 508, 5, 107, 8, 30, 5, 293, 5, 15467, 701, 1243, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 534, 1182, 50264, 508, 5, 429, 1182, 50265, 8, 46801, 2784, 31, 147, 5, 508, 5, 1182, 50264, 800, 266, 5, 1182, 50265, 1182, 50223, 20849, 9552, 4104, 10, 5708, 4, 1105, 413, 196, 5, 31460, 9, 749, 7, 186, 5, 10057, 6, 5830, 15, 107, 50223, 7226, 2043, 3683, 4, 7393, 4, 16228, 12, 7514, 6, 26426, 4, 9656, 5, 50223, 259, 5, 212, 4394, 1595, 13330, 44957, 845, 50244, 5385, 5956, 19656, 6, 1172, 256, 3900, 4, 7200, 325, 17450, 4, 5385, 5956, 50223, 12277, 1281, 4, 1019, 546, 5102, 4, 12666, 7438, 4, 36983, 35538, 2968, 1182, 48870, 25877, 9410, 3288, 4, 7514, 7598, 71, 4, 1883, 692, 4, 50223, 2343, 5684, 10127, 760, 652, 165, 4, 20940, 73, 4952, 6, 2639, 2968, 2747, 8, 28793, 125, 50223, 143, 23767, 6, 17, 10413, 832, 14108, 34345, 5, 1190, 17893, 7383, 1171, 5630, 8, 6480, 179, 50223, 379, 2272, 3014, 201, 1354, 7509, 165, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4819244
1
[ 0, 1406, 24354, 5, 50223, 328, 5, 225, 1402, 654, 13164, 1672, 19885, 7509, 2042, 534, 913, 23724, 8, 18512, 8740, 161, 2372, 4, 50223, 1600, 5048, 52, 15595, 644, 59, 8084, 6411, 5, 50223, 50264, 1046, 158, 5, 50244, 7085, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 146, 29897, 4852, 6, 7509, 391, 9, 11708, 7, 1785, 13907, 6, 11, 1182, 50264, 29, 387, 5, 1260, 5, 1508, 3100, 1182, 50267, 1182, 50223, 50266, 18, 1182, 50265, 1182, 50264, 580, 5, 1260, 5, 1508, 2278, 5, 1182, 50265, 1182, 50223, 196, 5, 1514, 7956, 165, 55, 928, 7, 32707, 46318, 34345, 4104, 38, 12785, 2108, 29897, 4852, 50223, 43071, 610, 2318, 5630, 8, 237, 7509, 116, 8195, 4, 1916, 25779, 20933, 50223, 4767, 34382, 6, 20933, 3333, 6, 1570, 6623, 20779, 32, 6, 351, 500, 333, 5, 50223, 259, 5, 1514, 7956, 80, 6698, 141, 13663, 18617, 50244, 50223, 71, 50209, 46622, 2193, 34345, 4, 22376, 50223, 211, 50209, 93, 26081, 1212, 15768, 13121, 462, 18596, 50223, 134, 50209, 8380, 185, 14600, 252, 22983, 1572, 12, 150, 27, 12433, 2668, 17655, 185, 48812, 688, 4, 95, 50223, 290, 28264, 39372, 4283, 7671, 23835, 4855, 28, 42754, 21744, 6, 11, 7912, 15, 50223, 4618, 132, 2993, 50244, 50223, 27, 93, 7509, 165, 30316, 995, 370, 5111, 4, 50223, 27, 93, 7509, 165, 30608, 11182, 1354, 12253, 11255, 534, 6, 59, 2968, 50223, 27, 93, 7509, 165, 30608, 30316, 232, 3488, 23402, 15, 34345, 14108, 1157, 4, 50223, 4326, 15406, 171, 4, 13, 819, 12573, 34543, 33, 19478, 23, 9426, 28333, 12, 48126, 50223, 4767, 87, 194, 1157, 23, 380, 14692, 19, 416, 2535, 6, 29897, 1672, 1397, 604, 14119, 50223, 31659, 9982, 5, 159, 5, 237, 1157, 4, 50223, 27, 93, 7509, 165, 5064, 1322, 534, 33, 5062, 4, 50223, 27, 93, 7509, 165, 899, 32812, 11317, 1157, 1182, 50209, 56, 7156, 22950, 980, 5044, 7775, 6, 2326, 3439, 50209, 50223, 27, 93, 7509, 165, 4, 33, 44122, 5495, 1218, 901, 20769, 16714, 833, 30608, 9429, 407, 921, 50223, 105, 136, 465, 8, 2784, 5, 50223, 328, 44, 159, 265, 20672, 34345, 14108, 1157, 29897, 1672, 17733, 7509, 2042, 15731, 50223, 96, 31916, 416, 2535, 67, 59, 8284, 4432, 5, 50223, 266, 5, 159, 265, 20672, 34345, 14108, 1157, 10, 7509, 165, 2933, 2311, 534, 913, 50223, 8819, 9715, 449, 6, 23724, 8, 2372, 11201, 13593, 6540, 881, 15595, 996, 6, 11, 8, 9124, 18, 50223, 1635, 734, 3323, 864, 19121, 168, 34022, 34345, 5, 1368, 29897, 1672, 13952, 14953, 6627, 2043, 50223, 19642, 481, 4, 102, 1651, 33, 23724, 55, 928, 12797, 11793, 4950, 1294, 50223, 43767, 1341, 5, 1962, 2186, 68, 10576, 524, 8, 237, 8195, 7509, 165, 14368, 4, 41, 8, 265, 2720, 4950, 50223, 14968, 960, 13719, 406, 15, 4107, 3403, 4, 39, 55, 1719, 30, 1568, 8, 2332, 50223, 56, 25455, 18596, 44, 50223, 50264, 1046, 158, 5, 10903, 5, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 34345, 6, 4601, 13153, 12, 9878, 3273, 1182, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4819244
2
[ 0, 237, 1157, 4924, 7, 3862, 17936, 4104, 6, 59, 50223, 21328, 168, 6, 8118, 168, 23724, 8, 2185, 237, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 5914, 8, 12253, 22402, 6811, 10510, 11512, 9310, 12, 59, 48126, 50223, 71, 36183, 201, 4380, 2183, 3938, 12, 59, 39609, 26486, 1955, 5, 47591, 450, 4224, 8609, 4, 39, 55, 35075, 50223, 147, 1402, 654, 13164, 1672, 4, 10, 2933, 12900, 120, 110, 23252, 26169, 649, 5, 250, 5, 18, 229, 27, 2414, 231, 11081, 515, 734, 28, 50223, 190, 2599, 90, 36138, 639, 2447, 6, 4314, 120, 17559, 43, 18703, 5, 159, 16484, 265, 50223, 100, 23696, 256, 23, 9238, 4, 95, 4005, 10873, 3991, 237, 3488, 5, 50223, 259, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 65, 8697, 176, 2352, 8, 6811, 6, 8, 13330, 27541, 50223, 6247, 7663, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 28250, 7753, 780, 31, 195, 6208, 25842, 18, 50223, 35516, 238, 1876, 4176, 6, 642, 7011, 4, 39, 21, 523, 21547, 797, 5022, 4104, 4, 33, 2290, 59, 50223, 809, 33454, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 940, 6165, 8, 2332, 12, 1182, 23077, 24504, 6653, 266, 50223, 1556, 14556, 874, 19088, 1228, 18, 1596, 4104, 23, 5198, 4003, 4, 61, 7509, 165, 21517, 12253, 11255, 50223, 5430, 6, 59, 34746, 3336, 767, 932, 5, 1529, 27504, 10, 2933, 17559, 1228, 23, 5198, 50223, 1282, 2721, 246, 16, 2585, 12031, 6686, 4818, 20779, 32, 6, 351, 500, 333, 2389, 21, 2444, 1976, 6, 2585, 50223, 1282, 15056, 221, 11511, 5, 50223, 266, 5, 3206, 7956, 165, 37, 10, 10260, 4, 110, 7663, 29897, 2875, 15395, 7, 4746, 4074, 4720, 4, 640, 50223, 4618, 1648, 4, 39, 31, 2747, 8, 25281, 24, 22666, 7509, 168, 6, 10717, 6, 3923, 5959, 237, 50223, 100, 32445, 465, 5, 689, 9, 28258, 7, 4268, 4628, 2563, 287, 1047, 7509, 453, 28, 2720, 34345, 4104, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 6126, 306, 24229, 2517, 7011, 8, 6811, 7, 2101, 2183, 18, 1020, 50223, 2414, 231, 11081, 515, 734, 29, 2476, 29897, 2875, 5, 50223, 497, 5, 3206, 7956, 165, 9, 20913, 4, 13, 7625, 4293, 24, 29897, 2875, 2363, 19563, 9273, 50223, 23924, 453, 8, 265, 4089, 6754, 1276, 37884, 7, 7509, 161, 6, 34429, 9895, 50223, 4172, 250, 610, 12, 9878, 3273, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 20227, 9, 7, 10035, 2108, 40405, 6, 1179, 8, 6811, 6, 25670, 755, 2327, 5, 50223, 612, 5, 3206, 7956, 165, 10, 2933, 22516, 4950, 9926, 2585, 437, 3336, 767, 48126, 27870, 50223, 8819, 9715, 449, 4, 38, 648, 2304, 30, 59, 20636, 4, 11540, 33, 30628, 652, 5, 3206, 7956, 165, 10, 195, 2933, 50223, 1600, 9979, 34345, 3334, 7, 232, 2183, 25079, 6491, 9640, 511, 5, 828, 5, 3206, 7956, 165, 10, 2933, 11287, 7916, 29897, 11890, 306, 2093, 4, 39, 31, 1248, 38, 50223, 929, 6506, 51, 22471, 23, 7445, 6, 23, 791, 3938, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4822998
0
[ 0, 50264, 3206, 7956, 96, 5885, 508, 5, 387, 497, 50209, 1508, 2659, 1182, 50267, 1182, 50223, 50266, 17, 14523, 87, 15086, 3731, 5352, 4, 29283, 1182, 50267, 1182, 50223, 50266, 8, 2185, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 6, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 1182, 50267, 1182, 50223, 50266, 6284, 3333, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 50244, 1182, 50265, 1182, 50223, 50264, 107, 5, 225, 1402, 654, 13164, 1672, 50244, 8286, 45043, 1182, 50267, 1182, 50223, 50266, 26967, 2974, 1690, 1495, 4, 563, 6503, 3317, 45043, 1182, 50267, 1182, 50223, 50266, 1050, 13322, 319, 50244, 46613, 607, 2380, 68, 5868, 126, 275, 1182, 50267, 1182, 50223, 50266, 18188, 50244, 1961, 528, 3263, 528, 1182, 50267, 1182, 50223, 50266, 115, 15563, 50244, 5476, 612, 6799, 1164, 444, 1182, 50267, 1182, 50223, 50266, 186, 38810, 1182, 50244, 3218, 2137, 563, 7048, 2985, 668, 2985, 668, 1315, 3410, 6246, 15230, 1182, 50267, 1182, 50223, 50266, 8523, 21725, 1182, 48870, 25177, 29897, 1672, 1182, 48870, 19594, 44, 1182, 50265, 1182, 50223, 50264, 119, 5, 3206, 7956, 165, 50244, 3206, 13522, 8651, 711, 1012, 1912, 291, 38111, 1182, 50267, 1182, 50223, 50266, 15666, 96, 1715, 800, 13227, 50209, 2621, 4, 430, 7437, 6130, 842, 2651, 1182, 50265, 1182, 50264, 18188, 50244, 414, 528, 3294, 444, 10883, 1182, 50267, 1182, 50223, 50266, 115, 15563, 50244, 292, 196, 828, 33598, 18560, 1182, 50267, 1182, 50223, 50266, 186, 38810, 50244, 3218, 4120, 4217, 668, 2985, 668, 2985, 668, 292, 13962, 207, 1250, 266, 1182, 50267, 1182, 50223, 50266, 8523, 21725, 1182, 48870, 25177, 7509, 165, 1182, 48870, 19594, 44, 1182, 50267, 1182, 50223, 50266, 186, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 19, 25356, 3406, 6326, 1286, 7, 27148, 12071, 269, 1961, 8, 30889, 2636, 4, 30, 5, 635, 5, 50223, 4532, 320, 49401, 4, 1182, 50264, 1182, 50268, 1182, 50272, 1182, 50269, 1182, 50273, 1182, 50265, 826, 134, 5, 508, 5, 2345, 50209, 266, 4, 44748, 508, 5, 2418, 253, 2514, 7509, 2042, 18, 34345, 9134, 1920, 15086, 2464, 50223, 13779, 5102, 7, 2038, 5, 43389, 161, 42627, 6, 11, 50244, 50223, 27, 18868, 248, 3316, 6, 25670, 1118, 4675, 4, 12477, 96, 8534, 23, 14064, 4, 50223, 34623, 13332, 4, 3451, 1651, 4, 24845, 16284, 2808, 1220, 7, 19766, 4, 1182, 50189, 32092, 50223, 626, 1182, 48870, 25177, 4767, 6666, 34345, 48870, 19594, 50191, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 2794, 12, 14523, 1852, 31851, 10895, 1301, 4, 4172, 250, 287, 12, 48126, 14108, 34345, 50209, 3893, 4, 12295, 4, 2512, 4, 31566, 1182, 50209, 5, 50223, 50264, 2038, 5, 1182, 50267, 1182, 50223, 50266, 1584, 21854, 34345, 1182, 50265, 1182, 50223, 1514, 7956, 165, 10, 10260, 8764, 11317, 34345, 7, 36620, 3520, 84, 4, 15663, 73, 50223, 96, 13522, 6070, 2886, 4, 3196, 50223, 50264, 7085, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 39919, 9, 11708, 7, 1785, 13907, 4, 6, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4822998
1
[ 0, 11, 7, 50223, 27, 18868, 248, 3316, 864, 800, 5, 10582, 5, 1508, 2659, 29, 580, 4, 1105, 1502, 5, 18, 581, 4, 1105, 1502, 551, 150, 1685, 1182, 50209, 7873, 155, 50209, 50223, 27, 18868, 248, 3316, 864, 800, 5, 10582, 5, 1508, 2659, 29, 581, 4, 1105, 1502, 5, 18, 840, 4, 1105, 1502, 551, 119, 1685, 5, 50223, 50264, 10903, 5, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 7509, 168, 1182, 50265, 1182, 50223, 21881, 7509, 168, 10, 28935, 82, 2347, 3534, 24, 8360, 366, 4139, 7509, 168, 23, 7509, 50223, 71, 108, 96, 7956, 8472, 6, 18254, 14051, 2856, 45, 18888, 607, 25668, 1182, 50244, 50223, 1282, 24225, 248, 3316, 150, 1502, 5, 1067, 446, 4, 14018, 1182, 49607, 14238, 27272, 50209, 253, 1502, 5, 1182, 50247, 3726, 4, 12414, 1182, 49607, 14238, 27272, 1182, 50209, 7873, 155, 50209, 50223, 1282, 24225, 248, 3316, 107, 1067, 4512, 4, 668, 1182, 49607, 14238, 27272, 50209, 253, 7402, 1182, 50247, 4512, 4, 668, 1182, 49607, 14238, 27272, 50223, 379, 25253, 1701, 38586, 3439, 107, 1067, 655, 4, 668, 1182, 49607, 14238, 27272, 50209, 253, 7402, 1182, 50247, 655, 4, 668, 1182, 49607, 14238, 27272, 50223, 30989, 292, 497, 4, 12414, 1182, 49607, 14238, 27272, 4, 718, 28, 45002, 41970, 2963, 7, 1217, 26460, 1182, 50264, 292, 528, 1182, 50265, 1182, 49607, 14238, 27272, 5, 2520, 1493, 7509, 168, 10, 8072, 5185, 16, 50223, 293, 22492, 23, 791, 3938, 228, 1052, 3273, 14108, 34345, 1182, 50268, 44, 1182, 50269, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 159, 5, 1182, 50267, 1182, 50223, 50266, 130, 5012, 450, 7509, 168, 1182, 50265, 1182, 50223, 1514, 7956, 165, 9, 20913, 5013, 34543, 7, 713, 7509, 116, 1157, 4, 24317, 7, 50223, 293, 9542, 29897, 2875, 3218, 2137, 563, 7048, 2985, 668, 2985, 668, 1315, 3410, 6246, 15230, 4, 20236, 50244, 704, 7048, 6513, 1164, 196, 6, 11, 8, 9124, 50223, 470, 580, 734, 3323, 864, 2499, 2397, 5, 50223, 50264, 15776, 5, 1182, 50267, 1182, 50223, 50266, 24766, 177, 6, 3488, 22983, 1572, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 3334, 791, 3938, 1182, 50264, 12, 1182, 50265, 48126, 14108, 34345, 4, 50223, 49776, 15620, 8, 1973, 186, 5, 1004, 119, 5, 50223, 17233, 71, 26138, 77, 400, 29897, 2875, 23, 39670, 6, 22560, 5352, 50223, 190, 506, 9468, 1651, 6, 18482, 29, 17914, 7428, 10, 10505, 529, 10805, 50223, 196, 5, 3206, 7956, 165, 23, 20913, 1182, 50244, 50223, 27, 5013, 34543, 8, 5551, 23712, 9704, 50223, 27, 8764, 12253, 11255, 1183, 3862, 7, 45300, 5204, 50223, 27, 24752, 12253, 11255, 1183, 28, 6067, 34345, 6, 14009, 54, 29897, 11890, 50223, 190, 19584, 2372, 50223, 27, 11619, 8, 12253, 26122, 4658, 20825, 6296, 14420, 7365, 9, 50223, 777, 1461, 1072, 6, 2471, 2856, 67, 16282, 4, 27733, 4, 3788, 4432, 4, 50223, 52, 143, 6305, 14664, 7741, 33, 19468, 4456, 6, 41899, 2048, 1669, 14420, 50223, 27, 8, 265, 13458, 449, 11972, 19136, 45043, 19, 29897, 11890, 5352, 50223, 190, 2555, 18672, 3643, 20933, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4822998
2
[ 0, 8, 2332, 12, 1182, 23077, 24504, 5708, 71, 50223, 1556, 14556, 874, 19088, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 50223, 100, 105, 50116, 5, 50223, 497, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 25888, 14451, 6, 2029, 4, 629, 6, 13938, 5575, 50223, 71, 7, 7961, 7663, 12, 102, 5467, 149, 5114, 407, 5, 50223, 32, 30889, 2636, 864, 159, 30889, 2636, 864, 50223, 37442, 654, 13164, 1672, 50244, 3206, 7956, 165, 50244, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 6186, 5868, 1812, 9808, 5077, 50223, 1600, 22483, 607, 7392, 392, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4824570
0
[ 0, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 1182, 50265, 1182, 50223, 50264, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 50264, 1050, 14917, 429, 4, 539, 1508, 3317, 45936, 1182, 50265, 1182, 50223, 50264, 186, 1182, 50265, 1046, 1182, 50264, 267, 50244, 2627, 950, 266, 8595, 1182, 50265, 1182, 50223, 50264, 186, 1182, 50265, 1046, 50264, 4035, 50244, 3801, 292, 5125, 1105, 3294, 1182, 50265, 1182, 50223, 50264, 11359, 117, 1182, 50265, 508, 1182, 50264, 3127, 1182, 50265, 16808, 50264, 28270, 8, 23219, 16590, 5369, 8497, 4, 8, 10157, 5, 130, 270, 45, 8162, 189, 1182, 50265, 508, 1182, 50264, 44, 34350, 2458, 50209, 335, 1182, 50265, 1182, 50223, 50264, 11359, 117, 1182, 50265, 508, 1182, 50264, 3127, 1182, 50265, 16808, 50264, 19413, 406, 12233, 51, 1182, 50265, 7101, 1182, 50264, 4526, 50244, 5176, 5, 23373, 459, 26532, 1182, 50265, 1182, 50223, 50264, 1182, 50189, 1182, 50265, 14585, 1182, 50264, 26, 250, 36, 29897, 51, 1182, 50265, 7101, 50264, 1182, 50191, 1182, 50265, 1182, 50223, 71, 50223, 31660, 6, 9354, 50244, 5176, 6495, 3129, 520, 11891, 583, 346, 50223, 379, 5430, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 1556, 2542, 333, 50223, 50264, 1182, 50189, 1182, 50265, 14585, 1182, 50264, 26, 250, 8, 17933, 36, 19, 7509, 165, 1182, 50191, 1182, 50265, 1182, 50223, 1865, 361, 468, 5694, 82, 9661, 1182, 23077, 24504, 352, 7722, 6, 856, 158, 5, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 6284, 3333, 50223, 50189, 544, 36, 1182, 48870, 25177, 30773, 289, 41348, 1182, 48870, 19594, 1182, 50191, 706, 50223, 96, 7956, 176, 3305, 50223, 50189, 544, 36, 1182, 48870, 25177, 100, 32445, 1032, 48870, 19594, 1182, 50191, 50223, 1025, 1182, 50264, 3999, 4594, 186, 5, 1182, 50265, 1182, 50223, 50264, 30068, 73, 9661, 1182, 50265, 1182, 50223, 253, 5, 30611, 237, 1157, 10, 7509, 6967, 16399, 108, 15978, 6, 4, 349, 19964, 10, 8286, 50223, 368, 117, 1912, 1512, 6, 29897, 4852, 10, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 551, 7, 713, 25857, 2043, 1157, 77, 864, 50223, 2621, 5, 9192, 5, 7037, 4, 95, 9848, 78, 5506, 1163, 864, 3317, 5, 7062, 5, 7037, 50244, 50223, 71, 50191, 119, 27, 25464, 534, 508, 5, 564, 4, 17, 20216, 17447, 902, 6080, 5708, 4, 1659, 413, 196, 7, 21243, 4, 7, 107, 5, 225, 551, 119, 5, 31843, 27870, 1374, 84, 50223, 1626, 5923, 466, 1253, 658, 4, 31, 2186, 73, 1253, 4574, 580, 18560, 7, 2240, 14898, 132, 503, 525, 325, 8, 37867, 104, 4, 41825, 7, 44748, 508, 5, 3811, 668, 84, 50223, 128, 5, 293, 5, 45936, 4, 1719, 45936, 4, 9377, 7, 5304, 4, 826, 11307, 6565, 233, 508, 5, 3872, 4463, 50209, 196, 4, 617, 5048, 826, 24655, 1270, 444, 413, 196, 4, 50223, 201, 6198, 5304, 27, 3591, 287, 6080, 6, 30438, 164, 8, 3591, 1713, 1716, 1114, 84, 7350, 10, 30004, 7, 44748, 508, 5, 3811, 668, 5, 50223, 196, 5, 35524, 7509, 185, 21737, 17998, 133, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4824570
1
[ 0, 29897, 1672, 7509, 2042, 17333, 14728, 11981, 2847, 8, 5484, 107, 50223, 132, 33829, 1973, 1157, 1182, 50189, 544, 36, 11317, 34345, 1182, 50191, 23, 34543, 4, 533, 5341, 10, 36565, 8, 9982, 5, 10903, 5, 237, 50223, 100, 32445, 465, 5, 50223, 1025, 1182, 50264, 3999, 4594, 2038, 5, 1182, 50265, 1182, 50223, 50264, 33208, 4104, 6, 59, 23724, 1182, 50265, 1182, 50223, 1108, 6666, 34345, 27, 119, 27, 25464, 534, 4, 5830, 15, 119, 23008, 6, 23724, 5, 3206, 7956, 165, 9, 12, 39050, 23930, 4104, 50223, 854, 32589, 3515, 6, 23087, 4, 13, 2082, 59, 3862, 17936, 7, 3181, 34345, 5, 31460, 55, 32305, 29230, 11608, 5708, 4, 1659, 413, 196, 5, 50223, 27449, 30713, 4104, 10, 67, 1030, 701, 150, 4, 9587, 413, 196, 413, 196, 4, 14014, 50195, 719, 318, 207, 4, 4487, 413, 196, 4, 12773, 429, 4, 14837, 413, 196, 6, 107, 8151, 55, 568, 4, 1508, 413, 196, 4, 119, 5, 50223, 272, 18174, 55, 568, 4, 2342, 413, 196, 44, 50223, 1025, 1182, 50264, 3999, 4594, 7085, 5, 1182, 50265, 1182, 50223, 50264, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 1303, 5885, 9, 11708, 7, 1785, 1182, 50264, 3837, 1182, 50265, 508, 1182, 50264, 83, 2224, 27, 107, 273, 12, 635, 1182, 50265, 508, 1182, 50264, 156, 3866, 1182, 50265, 16808, 1182, 50264, 19217, 29, 3317, 5, 7062, 5, 1508, 2659, 18, 414, 5, 9192, 5, 1508, 2278, 5, 1962, 47779, 1182, 50267, 1182, 50223, 50266, 67, 1182, 50265, 39863, 1182, 50264, 1412, 449, 7509, 116, 1157, 10, 3862, 9426, 331, 9115, 31112, 15, 7509, 116, 1157, 6, 1182, 50267, 1182, 50223, 50266, 35496, 1182, 50265, 508, 1182, 50264, 3127, 1182, 50265, 16808, 1182, 50264, 84, 13, 7509, 165, 496, 9429, 342, 1182, 50265, 16808, 50264, 921, 19842, 465, 8, 2784, 5, 12855, 1266, 2318, 8609, 1182, 50265, 18207, 1182, 50264, 75, 1459, 30, 1182, 50267, 1182, 50223, 50266, 2370, 881, 67, 1182, 50265, 39863, 1182, 50264, 1412, 996, 7509, 116, 1157, 6592, 154, 29897, 51, 1182, 50265, 7101, 1182, 50264, 44, 1182, 50265, 1182, 50223, 196, 5, 33201, 7306, 400, 9, 6387, 4, 13, 29897, 1672, 6480, 151, 1473, 8631, 11317, 34345, 7509, 2042, 5617, 864, 50223, 7595, 5, 7062, 5, 1508, 2659, 5, 50223, 196, 5, 5, 19987, 802, 29, 9134, 4485, 5352, 26521, 7509, 165, 5617, 864, 3317, 5, 7062, 5, 1508, 2659, 6, 11, 7, 713, 26445, 4530, 50223, 42424, 173, 271, 5, 50223, 259, 5, 1514, 7956, 165, 23087, 4, 13, 14, 42471, 1467, 4924, 7, 4394, 293, 11793, 9818, 1616, 28, 6067, 1157, 5, 3206, 7956, 165, 50223, 299, 20913, 4, 13, 11317, 34345, 8631, 29897, 11890, 5617, 864, 414, 5, 9192, 5, 1508, 2278, 6, 11, 3862, 14040, 101, 816, 6, 8, 50223, 548, 4810, 68, 2372, 19, 120, 66, 12253, 11255, 49735, 49870, 36, 7, 5747, 15595, 282, 5, 50223, 1025, 1182, 50264, 3999, 4594, 10903, 5, 1182, 50265, 1182, 50223, 50264, 3206, 7956, 73, 6, 791, 3938, 12, 48126, 4104, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4824570
2
[ 0, 18045, 29, 14552, 29897, 11890, 6, 11, 8, 6, 2179, 12299, 116, 50223, 929, 11315, 8, 2332, 12, 8765, 1405, 4, 303, 349, 9380, 2487, 15, 237, 1157, 9258, 4, 93, 7509, 165, 9009, 709, 8073, 50223, 17717, 1800, 1301, 3679, 8, 26445, 391, 28793, 125, 5, 50223, 1025, 1182, 50264, 3999, 4594, 15776, 5, 1182, 50265, 1182, 50223, 50264, 1584, 1182, 50265, 508, 1182, 50264, 7929, 34345, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 11317, 34345, 8764, 7, 3181, 4, 7, 39, 139, 6042, 52, 3110, 4, 6, 11, 7, 17936, 23, 5198, 50223, 32429, 19357, 1804, 14245, 5, 50223, 1025, 1182, 50264, 3999, 4594, 159, 10311, 5, 1182, 50265, 1182, 50223, 50264, 24766, 177, 6, 3488, 22983, 1572, 1182, 50265, 1182, 50223, 50264, 267, 8802, 644, 7509, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 60, 23930, 14108, 34345, 13709, 8, 1973, 186, 5, 237, 1157, 11569, 3515, 6, 12334, 26814, 436, 4, 50223, 43767, 6, 4745, 45097, 48, 9128, 8, 28793, 125, 17, 10413, 832, 6, 23767, 14108, 34345, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 17998, 11668, 11317, 34345, 7509, 2042, 8, 2372, 8688, 68, 7, 14030, 287, 17936, 7, 50223, 1297, 12628, 14039, 3631, 26445, 4530, 30874, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 13242, 6334, 9, 2499, 4, 744, 21, 760, 3526, 7509, 453, 38, 34816, 14108, 34345, 5, 50223, 328, 5, 1514, 7956, 165, 37, 10, 10260, 1140, 11317, 34345, 14728, 21373, 8, 1973, 186, 5, 33613, 107, 237, 1157, 18, 108, 96, 31916, 4591, 50223, 23907, 179, 110, 12837, 31087, 7663, 29897, 2875, 6, 3199, 7509, 165, 33580, 24, 478, 33, 7621, 50223, 23907, 118, 17502, 4746, 5, 32, 265, 4, 93, 7509, 165, 23531, 199, 1052, 3657, 25470, 8, 316, 5484, 1157, 4, 10, 2933, 50223, 290, 41509, 29897, 11890, 16851, 176, 7366, 45, 1493, 446, 20379, 90, 4139, 7509, 168, 6, 635, 4082, 23, 791, 13845, 23, 50223, 17717, 933, 4104, 1182, 50189, 45, 1493, 22464, 23, 671, 697, 1636, 18512, 4104, 1182, 50191, 6, 11, 18, 1020, 734, 3323, 864, 102, 31087, 50223, 1006, 3096, 2581, 77, 400, 29897, 2875, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 11317, 34345, 14728, 21373, 8, 1973, 186, 5, 33613, 107, 237, 1157, 8764, 25, 4, 41, 50223, 52, 470, 4797, 30, 20315, 5660, 7208, 33, 20636, 14108, 34345, 5, 1050, 9238, 33, 14953, 14108, 34345, 82, 50223, 4767, 4753, 3563, 11711, 9, 28055, 45595, 15595, 282, 14108, 34345, 5, 159, 9134, 51, 34345, 3199, 7509, 165, 50223, 11858, 1582, 22343, 1396, 5, 40194, 731, 13904, 1051, 16407, 5, 50223, 444, 5, 4458, 6666, 34345, 9128, 8, 1973, 186, 5, 237, 1157, 48, 10413, 816, 7, 713, 30874, 17, 10413, 832, 6, 50223, 1210, 17893, 5507, 4, 47, 48, 14039, 816, 17258, 16851, 462, 14643, 5, 159, 601, 30874, 17, 10413, 832, 6, 23767, 14108, 50223, 96, 31916, 29897, 1672, 8631, 7509, 2042, 21539, 29, 14108, 34345, 5, 225, 1402, 654, 13164, 1672, 14, 28, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4824570
3
[ 0, 13, 6468, 2399, 14, 8380, 450, 487, 30798, 1428, 8, 9627, 116, 9124, 4, 33, 5688, 14493, 33, 9, 7, 16399, 50223, 813, 170, 314, 34, 589, 13599, 154, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 364, 4, 57, 124, 8380, 450, 9508, 406, 747, 50223, 100, 32445, 6308, 723, 5, 50223, 328, 5, 12256, 5885, 10, 7854, 882, 6, 42022, 8, 1020, 2557, 2186, 553, 4, 808, 29897, 1672, 456, 23286, 28, 556, 50223, 548, 219, 2186, 553, 84, 260, 2557, 2186, 24, 7509, 453, 5, 50223, 266, 5, 21973, 450, 1157, 10, 20755, 1013, 7, 5114, 17258, 16851, 462, 14643, 5, 41590, 10, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 50223, 444, 5, 34124, 7306, 400, 35985, 407, 4, 13, 14, 3305, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 8257, 98, 4, 13, 1724, 237, 50223, 100, 32445, 465, 8495, 43, 25371, 6, 36660, 25693, 4, 149, 5114, 407, 5, 50223, 497, 5, 3206, 7956, 165, 19, 2069, 35654, 5534, 31102, 384, 4293, 60, 17167, 1725, 1049, 29897, 11890, 19, 50223, 1210, 50125, 291, 7, 5756, 2922, 1725, 1049, 8, 3331, 6, 7, 5204, 6099, 24, 35331, 26099, 50223, 1498, 132, 1157, 8, 2185, 638, 3494, 6604, 869, 926, 508, 5, 411, 50209, 2618, 239, 5, 100, 5, 17, 3556, 1725, 1049, 50223, 435, 5128, 3038, 9225, 7, 1838, 1725, 1049, 869, 926, 508, 5, 36378, 50209, 2618, 239, 5, 100, 5, 17, 18103, 38, 40997, 50223, 190, 7242, 1032, 7, 1838, 1725, 1049, 4, 390, 35682, 5782, 1443, 6, 6604, 1182, 50189, 754, 1182, 50191, 1535, 50209, 8956, 612, 6, 2198, 1286, 50223, 28860, 874, 1443, 6, 6604, 1182, 50189, 754, 1182, 50191, 1535, 50209, 444, 2606, 19, 83, 1916, 13845, 8722, 3333, 5, 8613, 20, 50223, 16044, 52, 3074, 3934, 17, 331, 483, 21137, 6, 10674, 7580, 31112, 15, 1997, 16399, 14197, 5, 50223, 32, 37867, 104, 4, 864, 1182, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 5, 159, 37867, 104, 4, 864, 1182, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 1182, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 1182, 50264, 29897, 51, 1182, 50265, 7101, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 7509, 165, 1182, 50265, 1182, 50223, 50264, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 5, 5176, 6495, 3129, 520, 1182, 50265, 1182, 50223, 50264, 5176, 5, 1161, 459, 2731, 4, 12233, 51, 1182, 50265, 7101, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4825388
0
[ 0, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50269, 1182, 50265, 1182, 50223, 31659, 1182, 23077, 24504, 6653, 259, 6, 352, 5466, 28913, 19088, 50223, 1025, 28978, 1157, 50244, 1182, 50264, 41590, 922, 2659, 253, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 38393, 536, 305, 50244, 50223, 34394, 50244, 4578, 23451, 43193, 50223, 272, 24069, 50244, 668, 259, 2342, 8692, 328, 50223, 182, 15563, 50244, 1508, 196, 40499, 828, 3100, 50223, 8757, 44975, 50244, 7534, 184, 47218, 305, 39174, 50209, 497, 4, 539, 7722, 6026, 23451, 43193, 50223, 290, 13322, 406, 44889, 1114, 50244, 40290, 5, 32322, 1124, 234, 939, 68, 50223, 1514, 7956, 165, 8869, 639, 1134, 50244, 50223, 31660, 6, 10146, 100, 49421, 50244, 40290, 5, 10505, 1529, 22277, 50223, 1025, 28978, 9605, 50244, 50223, 10317, 73, 1253, 50244, 50223, 8757, 44975, 50244, 50223, 50264, 1046, 158, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 30068, 73, 9661, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 6565, 233, 43787, 826, 11307, 1253, 1961, 444, 50209, 253, 4, 8224, 96, 50223, 4763, 809, 17, 20216, 658, 13227, 196, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 30137, 50209, 259, 4, 8224, 96, 9552, 17, 20216, 50223, 2659, 196, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 30137, 50209, 328, 4, 8224, 96, 9552, 17, 20216, 44940, 413, 196, 4, 826, 11307, 50223, 28463, 136, 233, 43787, 1253, 24090, 50209, 259, 4, 8224, 96, 9552, 17, 20216, 229, 2278, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 50223, 1164, 668, 50209, 444, 4, 8224, 96, 9552, 17, 20216, 3811, 444, 413, 196, 29854, 20944, 767, 2389, 68, 19168, 1992, 50223, 5898, 48541, 4, 24, 1719, 6, 20944, 52, 4925, 23451, 43193, 4, 7, 12239, 11987, 508, 5, 3263, 612, 1182, 50189, 32092, 16, 19, 50223, 48870, 25177, 52, 22659, 481, 48870, 19594, 50191, 5, 50223, 196, 5, 550, 237, 6967, 9, 749, 29678, 1114, 23451, 43193, 4, 47, 10, 38393, 536, 362, 82, 50223, 1297, 9315, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 5, 225, 1402, 654, 13164, 1672, 10, 50223, 1210, 50125, 38393, 536, 305, 5, 50223, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 5630, 8, 237, 50223, 100, 32445, 348, 4, 8869, 248, 488, 50244, 50223, 4297, 781, 1078, 23451, 43193, 4, 4811, 5, 40348, 1182, 50264, 150, 1182, 50265, 84, 4811, 5, 962, 1182, 50264, 539, 1182, 50265, 84, 4811, 5, 1253, 1182, 50264, 1496, 1182, 50265, 84, 2153, 28388, 1182, 50264, 1943, 205, 2201, 1182, 50265, 1182, 50223, 100, 1077, 191, 2282, 50209, 183, 50244, 3834, 16156, 122, 4073, 5, 16156, 122, 50223, 19514, 16156, 3974, 4073, 5, 596, 7909, 3046, 50223, 378, 7254, 4039, 1872, 153, 4073, 5, 7604, 3363, 153, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4825388
1
[ 0, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 25066, 2224, 6, 3199, 9, 31827, 667, 4, 19, 28, 23486, 50223, 5876, 1308, 2193, 1182, 50189, 828, 167, 3323, 864, 4042, 687, 50191, 4, 93, 989, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 50223, 100, 3473, 6284, 3333, 22493, 46761, 660, 5, 50223, 50264, 1046, 158, 5, 10903, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 6, 12253, 12702, 1732, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 8869, 248, 488, 9, 25167, 2552, 1821, 17396, 47171, 373, 19225, 50223, 1865, 361, 3172, 449, 1157, 6, 10, 12583, 1168, 373, 19225, 8341, 864, 67, 1756, 19328, 2584, 5, 1182, 50264, 3206, 7956, 73, 1182, 50267, 1182, 50223, 50266, 23, 1732, 29, 14121, 5, 1164, 5, 1508, 3100, 18, 16935, 5, 1164, 5, 1508, 4549, 8, 12981, 414, 4, 668, 1182, 49607, 14238, 27272, 1182, 50265, 10, 12583, 1168, 373, 19225, 16751, 237, 50223, 96, 7956, 116, 1157, 5, 50223, 196, 5, 3023, 1363, 7509, 168, 23, 7607, 1732, 9, 141, 5455, 4, 93, 16201, 38, 10163, 50223, 128, 17290, 23763, 8, 2552, 3716, 5, 159, 4961, 265, 10, 7509, 165, 2933, 14572, 2154, 1119, 146, 50223, 929, 15291, 7509, 168, 5036, 46569, 82, 8215, 2552, 1100, 17396, 6, 21615, 50223, 96, 7956, 168, 82, 1373, 2552, 1100, 17396, 23, 1732, 3323, 864, 9753, 1373, 50223, 1664, 1100, 17396, 18, 1411, 67, 1756, 19328, 2584, 8, 9124, 414, 734, 3323, 864, 50223, 100, 31699, 2581, 1373, 2552, 1100, 5, 50223, 259, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 9, 34543, 36183, 27715, 3734, 7, 1884, 50223, 5876, 537, 1785, 7, 38393, 536, 463, 5, 50223, 50264, 1046, 158, 5, 159, 1182, 50267, 1182, 50223, 50266, 21837, 209, 481, 17396, 6, 7509, 453, 1182, 50265, 1182, 50223, 253, 5, 30010, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 50223, 190, 2332, 16795, 462, 25455, 18596, 17, 15762, 22599, 6, 5367, 4701, 35550, 50223, 379, 7584, 536, 305, 6, 303, 15778, 237, 7509, 116, 1157, 10, 2933, 3334, 1228, 50223, 128, 12253, 361, 1595, 8869, 6440, 37311, 6, 13242, 6334, 9, 9334, 28693, 18, 12253, 42441, 50223, 205, 2201, 639, 1134, 640, 4927, 4, 57, 10, 740, 19276, 24259, 10102, 50223, 1210, 16974, 4222, 38393, 536, 305, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 8764, 12253, 12702, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 50223, 4767, 2186, 63, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 4663, 15406, 10, 2933, 7, 50223, 34908, 73, 2183, 31851, 14024, 12253, 42441, 8869, 639, 1134, 4, 10704, 180, 50223, 1210, 50125, 291, 38393, 536, 305, 306, 1458, 1049, 740, 7, 3242, 21403, 50223, 205, 2201, 422, 1220, 4, 8, 265, 9332, 1371, 427, 2352, 6154, 6, 15138, 21119, 5366, 4, 50223, 190, 265, 23620, 1371, 427, 2352, 10169, 6154, 6, 13438, 5, 50223, 259, 5, 1504, 25808, 7509, 453, 67, 11659, 928, 7, 29218, 7509, 116, 1157, 202, 24091, 1087, 4, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4825388
2
[ 0, 706, 3305, 25888, 14451, 6, 2029, 4, 37, 8, 25744, 151, 23, 50223, 96, 6777, 9870, 43615, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 50223, 71, 3831, 1042, 31835, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 1303, 5885, 26545, 15372, 21913, 767, 7671, 4982, 2429, 28095, 22983, 1572, 50223, 71, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 266, 5, 1303, 5885, 10, 17391, 5277, 43028, 82, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 50223, 6101, 13141, 30, 20196, 8, 39695, 4083, 5, 50223, 444, 5, 30322, 10720, 933, 1725, 1049, 9, 6472, 44052, 264, 4825, 500, 754, 508, 5, 1535, 50209, 8956, 612, 17, 3556, 50223, 27228, 1817, 1648, 38, 47785, 1725, 1049, 6, 17, 15436, 14252, 3664, 1049, 4, 50223, 4724, 524, 9, 3707, 9040, 39310, 6174, 50209, 8065, 50209, 1745, 1182, 50189, 190, 45778, 73, 12760, 17, 3556, 1049, 50191, 6, 29, 50223, 2278, 5, 7062, 5, 2618, 3931, 333, 508, 5, 411, 50209, 2618, 239, 5, 15, 5, 17, 3556, 1725, 1049, 6, 17, 2909, 6, 9689, 50223, 591, 4724, 643, 3833, 5, 115, 1259, 40010, 2069, 14, 10, 1200, 8712, 483, 1692, 4, 39, 8, 1182, 23077, 24504, 840, 94, 1182, 23077, 24504, 414, 50223, 1297, 9315, 508, 5, 411, 50209, 2618, 239, 5, 15, 5, 37754, 3488, 17396, 38, 6123, 9863, 1692, 50223, 470, 8368, 6754, 1648, 5, 50223, 32, 23451, 3418, 1688, 4, 864, 2247, 5, 10044, 5, 1508, 2659, 32, 23451, 3418, 1688, 4, 864, 387, 5, 10582, 5, 1508, 2659, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 1210, 50125, 1182, 48870, 25877, 29897, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4825397
0
[ 0, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50269, 1182, 50265, 1182, 50223, 31659, 1182, 23077, 24504, 6653, 259, 6, 352, 5466, 28913, 19088, 50223, 1025, 28978, 1157, 50244, 1182, 50264, 41590, 922, 4228, 328, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 38393, 536, 305, 50244, 50223, 34394, 50244, 4578, 23451, 43193, 50223, 272, 24069, 50244, 668, 259, 2342, 8692, 328, 50223, 182, 15563, 50244, 1508, 196, 40499, 828, 3100, 50223, 8757, 44975, 50244, 7534, 184, 47218, 305, 39174, 50209, 497, 4, 539, 7722, 6026, 23451, 43193, 50223, 290, 13322, 406, 44889, 1114, 50244, 40290, 5, 32322, 1124, 234, 939, 68, 50223, 1514, 7956, 165, 8869, 639, 1134, 50244, 50223, 31660, 6, 10146, 100, 49421, 50244, 40290, 5, 10505, 1529, 22277, 50223, 1025, 28978, 9605, 50244, 50223, 10317, 73, 1253, 50244, 50223, 8757, 44975, 50244, 50223, 50264, 1046, 158, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 30068, 73, 9661, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 6565, 233, 43787, 826, 11307, 1253, 1961, 444, 50209, 253, 4, 8224, 96, 50223, 4763, 809, 17, 20216, 658, 13227, 196, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 30137, 50209, 259, 4, 8224, 96, 9552, 17, 20216, 50223, 2659, 196, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 30137, 50209, 328, 4, 8224, 96, 9552, 17, 20216, 44940, 413, 196, 4, 826, 11307, 50223, 28463, 136, 233, 43787, 1253, 24090, 50209, 259, 4, 8224, 96, 9552, 17, 20216, 229, 2278, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 50223, 1164, 668, 50209, 444, 4, 8224, 96, 9552, 17, 20216, 3811, 444, 413, 196, 29854, 20944, 767, 2389, 68, 19168, 1992, 50223, 5898, 48541, 4, 24, 1719, 6, 20944, 52, 4925, 23451, 43193, 4, 7, 12239, 11987, 508, 5, 3263, 612, 1182, 50189, 32092, 16, 19, 50223, 48870, 25177, 52, 22659, 481, 48870, 19594, 50191, 5, 50223, 196, 5, 550, 237, 6967, 9, 749, 29678, 1114, 23451, 43193, 4, 47, 10, 38393, 536, 362, 82, 50223, 1297, 9315, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 5, 225, 1402, 654, 13164, 1672, 10, 50223, 1210, 50125, 38393, 536, 305, 5, 50223, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 5630, 8, 237, 50223, 100, 32445, 348, 4, 8869, 248, 488, 50244, 50223, 4297, 781, 1078, 23451, 43193, 4, 4811, 5, 40348, 1182, 50264, 150, 1182, 50265, 84, 4811, 5, 962, 1182, 50264, 581, 1182, 50265, 84, 4811, 5, 1253, 1182, 50264, 35525, 1182, 50265, 84, 2153, 28388, 1182, 50264, 522, 205, 2201, 1182, 50265, 1182, 50223, 100, 1077, 191, 2282, 50209, 183, 50244, 10505, 4039, 1872, 2563, 5, 4039, 1872, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 25066, 2224, 6, 3199, 9, 31827, 667, 4, 19, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4825397
1
[ 0, 28, 23486, 50223, 5876, 1308, 2193, 1182, 50189, 828, 167, 3323, 864, 4042, 687, 50191, 4, 93, 989, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 50223, 100, 3473, 6284, 3333, 22493, 46761, 660, 5, 50223, 50264, 1046, 158, 5, 10903, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 6, 12253, 12702, 1732, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 8869, 248, 488, 9, 25167, 2552, 1821, 17396, 47171, 373, 19225, 50223, 1865, 361, 3172, 449, 1157, 6, 10, 12583, 1168, 373, 19225, 8341, 864, 67, 1756, 19328, 2584, 5, 1182, 50264, 3206, 7956, 73, 1182, 50267, 1182, 50223, 50266, 23, 1732, 29, 14121, 5, 1164, 5, 1508, 3100, 18, 16935, 5, 1164, 5, 1508, 4549, 8, 12981, 236, 4, 668, 1182, 49607, 14238, 27272, 1182, 50265, 10, 12583, 1168, 373, 19225, 16751, 237, 50223, 96, 7956, 116, 1157, 5, 50223, 196, 5, 3023, 1363, 7509, 168, 23, 7607, 1732, 9, 141, 5455, 4, 93, 16201, 38, 10163, 50223, 128, 17290, 23763, 8, 2552, 3716, 5, 159, 4961, 265, 10, 7509, 165, 2933, 14572, 2154, 1119, 146, 50223, 929, 15291, 7509, 168, 5036, 46569, 82, 8215, 2552, 1100, 17396, 6, 21615, 50223, 96, 7956, 168, 82, 1373, 2552, 1100, 17396, 23, 1732, 3323, 864, 9753, 1373, 50223, 1664, 1100, 17396, 18, 1411, 67, 1756, 19328, 2584, 8, 9124, 414, 734, 3323, 864, 50223, 100, 31699, 2581, 1373, 2552, 1100, 5, 50223, 259, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 9, 34543, 36183, 27715, 3734, 7, 1884, 50223, 5876, 537, 1785, 7, 38393, 536, 463, 5, 50223, 50264, 1046, 158, 5, 159, 1182, 50267, 1182, 50223, 50266, 21837, 209, 481, 17396, 6, 7509, 453, 1182, 50265, 1182, 50223, 253, 5, 30010, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 50223, 190, 2332, 16795, 462, 25455, 18596, 17, 15762, 22599, 6, 5367, 4701, 35550, 50223, 379, 7584, 536, 305, 6, 303, 15778, 237, 7509, 116, 1157, 10, 2933, 3334, 1228, 50223, 128, 12253, 361, 1595, 8869, 6440, 37311, 6, 13242, 6334, 9, 9334, 28693, 18, 12253, 42441, 50223, 205, 2201, 639, 1134, 640, 4927, 4, 57, 10, 740, 19276, 24259, 10102, 50223, 1210, 16974, 4222, 38393, 536, 305, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 8764, 12253, 12702, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 50223, 4767, 2186, 63, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 4663, 15406, 10, 2933, 7, 50223, 34908, 73, 2183, 31851, 14024, 12253, 42441, 8869, 639, 1134, 4, 10704, 180, 50223, 1210, 50125, 291, 38393, 536, 305, 306, 1458, 1049, 740, 7, 3242, 21403, 50223, 205, 2201, 422, 1220, 4, 8, 265, 9332, 1371, 427, 2352, 6154, 6, 15138, 21119, 5366, 4, 50223, 190, 265, 23620, 1371, 427, 2352, 10169, 6154, 6, 13438, 5, 50223, 259, 5, 1504, 25808, 7509, 453, 67, 11659, 928, 7, 29218, 7509, 116, 1157, 202, 24091, 1087, 4, 93, 10, 50223, 201, 6646, 1235, 85, 4, 127, 15, 24091, 1235, 4, 47, 9, 14140, 254, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4825397
2
[ 0, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 50223, 71, 3831, 1042, 31835, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 1303, 5885, 26545, 15372, 21913, 767, 7671, 4982, 2429, 28095, 22983, 1572, 50223, 71, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 266, 5, 1303, 5885, 10, 17391, 5277, 43028, 82, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 50223, 6101, 13141, 30, 20196, 8, 39695, 4083, 5, 50223, 444, 5, 30322, 10720, 933, 1725, 1049, 9, 6472, 44052, 264, 4825, 500, 754, 508, 5, 1535, 50209, 8956, 612, 17, 3556, 50223, 27228, 1817, 1648, 38, 47785, 1725, 1049, 6, 17, 15436, 14252, 3664, 1049, 4, 50223, 4724, 524, 9, 3707, 9040, 39310, 6174, 50209, 8065, 50209, 1745, 1182, 50189, 190, 45778, 73, 12760, 17, 3556, 1049, 50191, 6, 29, 50223, 2278, 5, 7062, 5, 2618, 3931, 333, 508, 5, 411, 50209, 2618, 239, 5, 15, 5, 17, 3556, 1725, 1049, 6, 17, 2909, 6, 9689, 50223, 591, 4724, 643, 3833, 5, 115, 1259, 40010, 2069, 14, 10, 1200, 8712, 483, 1692, 4, 39, 8, 1182, 23077, 24504, 840, 94, 1182, 23077, 24504, 414, 50223, 1297, 9315, 508, 5, 411, 50209, 2618, 239, 5, 15, 5, 37754, 3488, 17396, 38, 6123, 9863, 1692, 50223, 470, 8368, 6754, 1648, 5, 50223, 32, 23451, 3418, 1688, 4, 864, 2247, 5, 10044, 5, 1508, 2659, 32, 23451, 3418, 1688, 4, 864, 387, 5, 10582, 5, 1508, 2659, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 1210, 50125, 1182, 48870, 25877, 29897, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4825758
0
[ 0, 50264, 1182, 50268, 41590, 17, 14523, 87, 4104, 508, 5, 5708, 50209, 1508, 2659, 1182, 50269, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 82, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 50223, 23634, 2108, 8, 4083, 6284, 3333, 6, 11179, 5, 1182, 23077, 24504, 352, 7722, 6, 856, 158, 5, 12, 7741, 11179, 5, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 50223, 1556, 14556, 874, 19088, 50223, 50264, 225, 1402, 654, 13164, 1672, 50244, 15650, 267, 8179, 774, 7, 41837, 179, 1182, 50265, 1182, 50223, 50264, 31629, 3288, 50244, 539, 8065, 658, 267, 8179, 774, 7, 41837, 179, 4, 36271, 8047, 1182, 50267, 1182, 50223, 50266, 18188, 50244, 2985, 414, 444, 352, 3410, 1182, 50265, 1182, 50223, 290, 26161, 50244, 11174, 233, 2766, 135, 1407, 56, 2901, 4, 9990, 53, 1114, 50223, 12959, 1034, 5668, 1182, 50244, 27954, 6, 5, 56, 5, 50223, 1025, 28978, 7250, 1182, 50244, 3218, 17033, 563, 7048, 2985, 668, 2985, 668, 950, 9558, 704, 9558, 50223, 50264, 3206, 7956, 165, 50244, 258, 4520, 6, 9354, 50244, 16989, 4194, 56, 6452, 299, 1182, 50267, 1182, 50223, 50266, 19318, 9728, 1182, 50265, 1182, 50244, 50223, 50264, 46608, 21119, 5366, 50244, 1182, 50265, 1182, 50223, 50264, 1046, 47864, 186, 5, 1182, 50267, 1182, 50223, 50266, 839, 18087, 29897, 2875, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 23087, 4, 13, 10, 27023, 1485, 19964, 27870, 1374, 8, 1658, 267, 8179, 774, 7, 50223, 47914, 179, 4, 12264, 5, 14738, 305, 31, 2186, 73, 1253, 37900, 749, 3608, 9, 7, 826, 134, 5, 6565, 1182, 48870, 25177, 318, 48870, 19594, 508, 50223, 528, 11170, 50209, 8727, 4, 29784, 3631, 7, 44748, 508, 5, 387, 2341, 8, 20944, 161, 1716, 267, 8179, 774, 7, 41837, 179, 5, 50223, 50264, 119, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 23087, 4, 13, 67, 10550, 4456, 7509, 116, 1157, 25697, 7509, 2042, 50223, 1210, 10966, 90, 14108, 34345, 1182, 27, 7509, 168, 4104, 12, 38464, 4, 17463, 6, 50223, 465, 4945, 636, 5, 50223, 50264, 1046, 47864, 2038, 5, 1182, 50267, 1182, 50223, 50266, 839, 18087, 7509, 453, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 3206, 7956, 165, 23087, 4, 13, 7509, 80, 534, 33, 59, 637, 37, 10, 10260, 17998, 11668, 18, 50223, 4595, 96, 31916, 4591, 6165, 5, 50223, 50264, 119, 5, 1182, 50265, 3206, 7956, 165, 23087, 4, 13, 10, 8609, 34720, 44011, 9836, 4, 95, 9837, 1212, 50223, 944, 38952, 14245, 82, 1182, 23077, 24504, 894, 1680, 5, 259, 5183, 5, 6, 50191, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 50223, 2348, 3368, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 443, 10218, 50223, 1210, 88, 3227, 1747, 1041, 27305, 541, 2318, 31, 998, 27280, 508, 5, 107, 30, 237, 8195, 5, 50223, 50264, 1046, 47864, 7085, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 4, 6170, 2447, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4825758
1
[ 0, 4104, 6, 6170, 23724, 4104, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 19, 11317, 34345, 50244, 50223, 50264, 534, 508, 5, 2345, 43338, 9, 7, 107, 5, 10057, 27870, 1374, 508, 5, 37900, 8, 1658, 267, 8179, 774, 7, 1182, 50267, 1182, 50223, 50266, 41837, 179, 4, 12264, 5, 14738, 305, 1182, 50265, 1182, 50264, 31, 2186, 73, 1253, 37900, 749, 3608, 9, 7, 826, 134, 5, 6565, 1182, 48870, 25177, 318, 48870, 19594, 1182, 50267, 1182, 50223, 50266, 508, 5, 430, 11170, 50209, 8727, 4, 29784, 3631, 7, 44748, 508, 387, 2341, 8, 20944, 161, 1716, 267, 8179, 774, 7, 41837, 179, 1182, 50265, 1182, 50223, 13389, 10, 29713, 18, 1182, 50276, 186, 5, 50209, 10311, 5, 1182, 50277, 4028, 5, 50223, 50264, 44644, 9978, 9552, 4104, 50244, 6061, 4, 2341, 413, 196, 5, 1182, 50267, 1182, 50223, 50266, 31460, 5830, 15, 119, 9833, 1182, 48870, 25877, 107, 8151, 10, 12, 7200, 1194, 27092, 4, 15, 67, 2715, 510, 84, 15, 16228, 1182, 50267, 1182, 50223, 50266, 12, 10074, 688, 5, 1182, 50265, 1182, 50223, 50264, 119, 5, 1182, 50265, 31460, 3947, 4493, 11317, 34345, 55, 1182, 50244, 3348, 31435, 1651, 6, 2639, 1651, 5, 50223, 32544, 31435, 1651, 4104, 31, 50244, 36062, 2776, 4, 11197, 1686, 6, 964, 6, 50223, 702, 11741, 30836, 11151, 4, 267, 22732, 1651, 4104, 31, 1182, 50244, 1516, 19051, 6, 11894, 466, 1651, 50223, 1210, 10010, 176, 4156, 6, 2779, 50223, 50264, 150, 5, 1182, 50265, 31460, 3947, 4493, 11317, 34345, 55, 11916, 7121, 4104, 50244, 32, 7200, 362, 3050, 51, 9, 749, 7200, 325, 17450, 913, 2836, 4966, 4, 1019, 546, 5102, 4, 8815, 6, 50223, 3384, 6970, 5, 50223, 32, 45238, 151, 9, 749, 107, 1883, 692, 4, 107, 9410, 3288, 4, 107, 10074, 109, 4, 208, 9410, 11686, 19823, 50223, 56, 2457, 2337, 6, 107, 19196, 9346, 1172, 6791, 5, 50223, 33201, 7306, 400, 9, 6387, 4, 13, 8, 364, 2720, 34345, 17001, 3377, 28444, 400, 6480, 4719, 50223, 143, 10413, 832, 6, 23767, 14108, 34345, 12, 6170, 68, 2447, 14108, 34345, 1182, 48870, 25877, 4104, 6, 59, 50223, 6101, 18669, 14938, 4, 1651, 6, 13554, 4104, 195, 12, 6170, 68, 2447, 7, 11107, 9314, 5555, 6292, 50223, 6248, 320, 8133, 1182, 50189, 649, 5, 250, 5, 25653, 964, 4, 6022, 4, 16543, 964, 4, 2776, 4, 7266, 4, 517, 1182, 50191, 6, 12, 31896, 3764, 418, 50223, 702, 137, 1900, 1612, 18482, 29, 14108, 34345, 6, 29, 12875, 5352, 5, 267, 2186, 2447, 4104, 50223, 71, 6170, 23724, 4104, 4, 1651, 6, 13554, 4104, 10, 9128, 8, 6480, 1641, 50223, 143, 10413, 832, 6, 23767, 4104, 6, 3923, 48620, 8860, 5959, 237, 1157, 1182, 27, 998, 17280, 508, 5, 119, 237, 50223, 100, 32445, 465, 5, 50223, 50264, 1046, 47864, 10903, 5, 1182, 50267, 1182, 50223, 50266, 3300, 7271, 18512, 14108, 34345, 1182, 50265, 1182, 50223, 50264, 107, 5, 1182, 50265, 3206, 7956, 165, 10, 10260, 8764, 11317, 34345, 7912, 7, 232, 7445, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4825758
2
[ 0, 39, 37, 31, 2747, 8, 25281, 332, 9820, 4, 50223, 424, 6377, 7, 867, 12425, 1123, 929, 742, 5104, 1496, 457, 5, 1368, 9, 5376, 7, 714, 7078, 371, 50223, 5148, 8609, 4, 39, 393, 12917, 4, 10, 23751, 43947, 4601, 7, 306, 482, 11512, 5, 50223, 50264, 229, 5, 1182, 50265, 3206, 7956, 165, 10, 2933, 31851, 7, 2101, 2183, 1383, 3938, 12, 39609, 50223, 293, 13599, 1955, 4104, 5, 3206, 10218, 3938, 12, 39609, 26486, 1955, 31, 2183, 23, 516, 4, 39, 9, 8300, 50223, 465, 18798, 879, 38, 34100, 34816, 4, 1340, 5, 1182, 50250, 854, 14376, 1118, 10035, 23317, 2183, 50250, 4, 649, 5, 250, 5, 45123, 4, 50223, 86, 35742, 541, 37564, 117, 103, 2444, 13608, 4, 19593, 184, 4222, 6, 14324, 366, 6354, 4198, 4, 40102, 50223, 201, 170, 22234, 456, 4866, 449, 19360, 4, 11512, 17481, 3631, 10269, 1182, 50189, 143, 11513, 6, 15063, 20991, 6, 50223, 96, 14573, 50191, 5, 50223, 50264, 352, 5, 1182, 50265, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 55, 50223, 147, 1402, 654, 13164, 1672, 928, 25, 1146, 28, 17075, 8380, 161, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 7509, 453, 11793, 5, 1182, 50264, 429, 5, 1182, 50265, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 33, 50223, 674, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 17075, 50223, 88, 18935, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 29, 7509, 453, 11793, 5, 50223, 50264, 430, 5, 1182, 50265, 3206, 7956, 165, 10, 2933, 19276, 11850, 12900, 29897, 11890, 5289, 8365, 50223, 86, 9134, 51, 34345, 12425, 208, 14456, 20375, 8609, 6, 19288, 25728, 8, 2185, 237, 50223, 100, 32445, 465, 6, 17559, 120, 43, 18703, 4, 660, 8495, 23, 9238, 4, 95, 10873, 3991, 237, 50223, 1776, 209, 481, 4005, 5, 1182, 50264, 539, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 10, 2933, 8365, 7, 9134, 51, 34345, 12425, 208, 14456, 20375, 8609, 50223, 71, 19288, 25728, 84, 39, 27604, 3862, 218, 8084, 6411, 4104, 8, 9124, 18, 292, 29, 12693, 50223, 379, 2859, 510, 8365, 7, 9134, 51, 34345, 12425, 208, 14456, 20375, 8609, 6, 19288, 50223, 293, 13599, 510, 5, 50223, 50264, 236, 5, 1182, 50265, 1368, 29897, 1672, 10873, 172, 399, 3657, 6126, 26814, 436, 14172, 6659, 3862, 218, 8084, 6411, 50223, 42342, 4, 33, 2088, 10, 1258, 7509, 168, 1154, 44086, 4, 55, 7509, 165, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 29897, 2875, 26814, 436, 6126, 8, 8176, 116, 5396, 6, 50223, 379, 14993, 180, 29, 458, 11793, 5204, 52, 44315, 610, 4601, 5, 36067, 7, 11793, 438, 50223, 1006, 3096, 1525, 75, 29897, 2875, 110, 23252, 26169, 5, 36067, 40035, 4, 93, 9, 42471, 3456, 18, 50223, 831, 21848, 1405, 29, 45097, 681, 4506, 5, 50223, 50264, 564, 5, 1182, 50265, 3206, 7956, 165, 3199, 5914, 1042, 9798, 7011, 65, 4424, 8697, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4825758
3
[ 0, 93, 8433, 30, 23360, 858, 791, 4, 3323, 864, 16751, 1458, 858, 50223, 211, 50191, 93, 7, 713, 20821, 35396, 687, 45541, 269, 7, 19478, 23, 791, 3938, 50223, 56, 14523, 1852, 4104, 1276, 20486, 7, 9895, 26604, 742, 5104, 609, 457, 50223, 50264, 352, 5, 1182, 50265, 7080, 1163, 33633, 7544, 17, 24785, 2846, 34345, 6, 23899, 73, 7544, 17, 24785, 50223, 4767, 12405, 90, 7, 19478, 23, 791, 3938, 12, 14523, 1852, 4104, 10, 29897, 1672, 2933, 24353, 50223, 96, 7956, 2042, 18, 3141, 3863, 5617, 18, 28164, 549, 635, 4082, 5, 50223, 50264, 429, 5, 1182, 50265, 1584, 23462, 23, 12368, 3938, 12, 48126, 4104, 29897, 1672, 9060, 12810, 234, 7928, 7, 50223, 1297, 12628, 20821, 35396, 687, 77, 400, 14552, 21361, 13153, 12, 48126, 4104, 50223, 190, 9704, 18, 292, 734, 29, 12539, 20821, 35396, 687, 77, 400, 14552, 21361, 5, 50223, 37442, 654, 13164, 1672, 6879, 7139, 33487, 635, 4082, 23, 28333, 791, 195, 18, 414, 734, 29, 50223, 201, 2866, 3439, 12810, 36140, 687, 29, 14552, 549, 1301, 8, 265, 20672, 34345, 50223, 190, 1702, 509, 5, 50223, 50264, 430, 5, 1182, 50265, 159, 265, 26689, 1823, 7, 635, 2253, 10938, 23, 12368, 28333, 12, 48126, 4104, 10, 50223, 147, 1402, 654, 13164, 1672, 2933, 210, 24, 20486, 21795, 7, 3717, 7509, 453, 8, 9704, 18, 414, 734, 29, 50223, 4633, 35396, 687, 29897, 4852, 5, 159, 265, 4, 13, 7509, 165, 55, 8, 628, 20821, 50223, 9276, 36140, 687, 1276, 19086, 7, 7509, 161, 4, 29897, 1672, 10, 10260, 210, 24, 20486, 1697, 50223, 86, 19478, 1276, 32726, 7, 7509, 161, 4, 17, 1822, 7509, 453, 11850, 10436, 393, 12, 841, 1485, 50223, 9276, 36140, 1343, 44, 50223, 50264, 539, 5, 1182, 50265, 159, 265, 1276, 32726, 7, 635, 2253, 10938, 23, 12368, 28333, 12, 48126, 4104, 10, 7509, 165, 50223, 1776, 30763, 210, 1276, 20486, 21795, 7, 3717, 29897, 2875, 8, 9704, 18, 414, 734, 29, 50223, 201, 2866, 3439, 20821, 35396, 687, 5, 50223, 50264, 236, 5, 1182, 50265, 159, 265, 4, 13, 7509, 165, 819, 12573, 24066, 34543, 6, 25272, 23, 12368, 3938, 50223, 56, 48126, 4104, 18, 3306, 734, 28, 43, 28164, 4, 10, 2933, 5013, 29897, 11890, 50223, 379, 20486, 15, 45708, 5, 159, 13083, 90, 13001, 15, 45708, 12698, 1182, 23077, 24504, 207, 390, 48330, 996, 673, 333, 508, 5, 50223, 16706, 50209, 35156, 239, 5, 15, 5, 744, 9, 15967, 1245, 9661, 28913, 19088, 8, 50223, 100, 3473, 6284, 3333, 4, 25, 4, 13, 6434, 15, 45708, 10, 23, 394, 364, 45708, 50223, 1196, 4, 266, 33915, 10976, 5997, 6910, 4, 2330, 72, 563, 4, 15594, 5281, 23, 394, 83, 4697, 11255, 1636, 45708, 5, 50223, 50264, 1046, 47864, 1382, 5, 1182, 50267, 1182, 50223, 50266, 14689, 774, 681, 17431, 53, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 3206, 7956, 165, 8, 364, 28095, 237, 1157, 33376, 7, 3717, 29897, 2875, 10048, 681, 17431, 90, 50223, 401, 1493, 4665, 4, 668, 50264, 1182, 49607, 14238, 27272, 1182, 50265, 7, 3717, 29897, 2875, 1182, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4826023
0
[ 0, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50209, 7, 38068, 534, 1182, 50265, 1182, 50209, 1182, 50271, 1182, 50223, 50270, 29283, 146, 1182, 50271, 1182, 50223, 50270, 1182, 50264, 34124, 190, 462, 14643, 1182, 50269, 1182, 50265, 1182, 50244, 50223, 50264, 225, 1402, 654, 13164, 1672, 50244, 15650, 9554, 73, 159, 2328, 10853, 1182, 50265, 1182, 50223, 2351, 694, 772, 325, 387, 328, 50209, 12356, 4, 539, 12126, 950, 9554, 73, 159, 2328, 10853, 50223, 272, 24069, 1182, 50244, 2985, 259, 2267, 1196, 10043, 50223, 367, 13322, 406, 44889, 1114, 1182, 50244, 9692, 164, 1852, 13847, 7476, 3786, 50223, 50189, 32092, 36, 29897, 1672, 50191, 7, 877, 723, 50223, 50264, 3206, 7956, 165, 50244, 264, 2762, 873, 28323, 29780, 1182, 50265, 1182, 50223, 13042, 13206, 8651, 207, 1260, 50209, 4135, 4, 539, 12126, 950, 9554, 73, 159, 2328, 10853, 50223, 199, 5, 234, 5, 429, 10043, 828, 266, 50209, 2606, 5466, 50189, 32092, 36, 7509, 165, 50191, 7, 747, 723, 50223, 50264, 1182, 50276, 23, 549, 2318, 1182, 50265, 1182, 50244, 1182, 50277, 1182, 50223, 50264, 1182, 50268, 186, 5, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 1182, 50268, 4458, 6666, 6, 8073, 1157, 1182, 50269, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 7509, 80, 534, 2194, 104, 18, 59, 11987, 4, 47, 66, 50223, 44445, 319, 8, 2332, 60, 2198, 28938, 5524, 6352, 6, 16559, 4022, 333, 508, 5, 50223, 528, 50209, 40724, 4, 107, 50209, 20014, 6, 207, 50209, 20014, 4, 39, 19001, 989, 508, 5, 2247, 328, 50209, 7037, 4, 1315, 497, 50209, 5862, 4, 800, 612, 50209, 5125, 239, 5, 100, 5, 6, 50223, 40015, 27919, 989, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 50223, 190, 4083, 6284, 6, 737, 3333, 6, 10, 23707, 1502, 221, 9273, 4308, 2875, 4, 50223, 86, 28548, 7509, 165, 41769, 6594, 8989, 82, 1182, 23077, 24504, 1260, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 50223, 322, 210, 534, 43338, 9, 8, 46801, 2784, 4, 508, 5, 31, 2186, 73, 207, 1260, 50209, 4135, 7, 2240, 2220, 13206, 8651, 8, 50223, 128, 5, 293, 5, 9554, 73, 159, 2328, 10853, 1450, 23824, 4985, 16173, 319, 24861, 1114, 9554, 73, 159, 2328, 10853, 508, 5, 50223, 328, 50209, 5125, 8, 4083, 12697, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 150, 1182, 48870, 25877, 25464, 7509, 80, 534, 508, 5, 857, 4, 24380, 1182, 48870, 25877, 150, 5, 50223, 27726, 343, 4, 5830, 1218, 15, 150, 9833, 4, 7393, 6, 23724, 7, 2240, 2220, 13206, 6542, 207, 1260, 50209, 4135, 50223, 190, 1658, 9554, 73, 159, 2328, 10853, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 29897, 534, 7509, 2042, 7, 713, 3998, 7509, 453, 17, 7509, 80, 534, 6, 7, 50223, 1297, 12628, 16051, 3135, 24, 9814, 4, 3451, 371, 4, 2548, 2856, 1114, 6, 50223, 4595, 937, 541, 38, 15650, 161, 38187, 8, 9554, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4826023
1
[ 0, 159, 2328, 796, 1688, 77, 864, 1315, 5, 119, 5, 292, 2659, 17, 50223, 1600, 22438, 183, 9134, 5180, 4104, 4320, 11890, 5, 50223, 328, 5, 3922, 18669, 9850, 4104, 13709, 8, 1680, 5, 119, 332, 9661, 3923, 50244, 41658, 5, 50223, 266, 5, 267, 2186, 2447, 4104, 50244, 50223, 27, 534, 186, 5, 4028, 4, 50223, 27, 14583, 617, 5048, 1156, 29210, 6080, 4104, 8, 413, 196, 50244, 12772, 4, 4348, 413, 196, 4, 50223, 27, 24054, 4104, 50244, 28234, 5, 50223, 27127, 1098, 6, 7121, 4104, 10, 2747, 8, 44091, 24395, 17, 23767, 6, 10413, 832, 4104, 50223, 50189, 6101, 11606, 508, 5, 119, 237, 1157, 50191, 4, 95, 3923, 48620, 8860, 5959, 7509, 116, 1157, 5, 50223, 50264, 1182, 50268, 2038, 5, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 1182, 50268, 24766, 177, 6, 3488, 7509, 453, 1182, 50269, 1182, 50265, 1182, 50223, 253, 5, 24766, 177, 6, 3488, 22983, 1572, 31, 16832, 8, 1182, 23077, 24504, 8047, 497, 1182, 27, 352, 5275, 28913, 19088, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 17998, 133, 816, 534, 8, 27304, 1334, 3862, 15962, 4611, 6, 4630, 3612, 1771, 50223, 37116, 2083, 119, 1067, 414, 1102, 5, 50223, 259, 5, 3206, 7956, 165, 9, 20913, 15575, 5111, 8, 6811, 4, 8, 12875, 4658, 4, 8, 2327, 50223, 510, 4889, 1374, 6, 12501, 9, 8, 2332, 12, 26587, 11953, 63, 4, 5220, 1899, 44713, 50223, 30989, 86, 1052, 1800, 6, 821, 524, 35550, 5, 50223, 328, 5, 3206, 7956, 165, 9, 20913, 4, 13, 394, 8102, 18, 11826, 4104, 913, 59, 1651, 33, 50223, 2421, 3409, 73, 7011, 8, 6811, 3867, 36, 12, 8380, 221, 20069, 29897, 2875, 5, 159, 16484, 50223, 49394, 48, 7509, 165, 42632, 644, 5, 1584, 19440, 23, 10510, 11512, 6, 7011, 1733, 50223, 5950, 10003, 16300, 4104, 1182, 50264, 18, 4139, 609, 1182, 49607, 14238, 27272, 1182, 50265, 48, 35075, 7509, 165, 5, 267, 11513, 208, 25470, 50223, 582, 218, 48, 7684, 29399, 3965, 38, 9625, 44, 159, 265, 4, 13, 9, 37236, 23538, 282, 50223, 96, 7956, 453, 4, 33788, 2183, 7, 11512, 8, 6941, 1493, 7509, 165, 5, 50223, 266, 5, 3206, 7956, 165, 3199, 5455, 14552, 15611, 110, 7663, 30808, 27870, 1374, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 47179, 534, 7, 3387, 4104, 3415, 2042, 1182, 50189, 702, 11671, 964, 4, 2776, 4, 50223, 170, 897, 1432, 4, 4003, 11736, 29280, 4, 247, 6893, 276, 4, 4003, 12875, 5352, 50191, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 47179, 534, 7, 3387, 11853, 2468, 4, 32755, 50223, 2421, 3409, 168, 1992, 6, 708, 43534, 5195, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 67, 24354, 7509, 116, 1157, 12989, 2691, 1648, 3947, 10003, 50223, 201, 8712, 21745, 7509, 453, 1182, 48870, 25877, 42295, 508, 5, 107, 237, 1157, 5, 50223, 612, 5, 1126, 549, 4394, 9, 1088, 7, 17502, 4746, 15395, 306, 1371, 2747, 8, 6673, 1726, 87, 1648, 50223, 50189, 6101, 11606, 508, 5, 107, 237, 1157, 50191, 5, 50223, 828, 5, 27343, 549, 1692, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826023
2
[ 0, 265, 4, 13, 9, 7509, 165, 30, 18200, 20672, 7509, 116, 1157, 15, 13709, 4104, 50223, 52, 702, 44186, 154, 4, 16105, 10016, 14040, 15846, 7509, 168, 4104, 7, 2183, 7509, 453, 7, 50223, 22562, 3110, 8, 34142, 215, 6480, 1641, 5, 50223, 250, 50191, 1516, 299, 540, 7233, 3710, 32751, 4, 9182, 11839, 816, 19, 43947, 5346, 1648, 4, 349, 8526, 9, 50223, 379, 7440, 2861, 2794, 82, 9273, 11044, 10, 5619, 19, 5329, 10206, 4, 50223, 465, 379, 25125, 15, 8989, 23, 3191, 33887, 273, 19, 3163, 332, 8989, 6, 16810, 50223, 6506, 194, 1405, 4, 303, 349, 9, 3710, 28, 12665, 5, 50223, 128, 50191, 1516, 299, 540, 3710, 1648, 4, 349, 8526, 9, 2794, 8941, 2861, 82, 9273, 50223, 4767, 8194, 1123, 13853, 154, 6595, 8989, 38877, 3931, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 1182, 23077, 24504, 894, 1680, 5, 150, 50223, 190, 4083, 6, 9689, 6284, 3333, 5, 50223, 158, 50191, 1368, 30583, 3710, 1648, 4, 349, 8526, 9, 8941, 2861, 2794, 18527, 1422, 38, 50223, 1291, 1143, 418, 161, 18220, 183, 7509, 168, 4104, 34644, 121, 2551, 2847, 82, 9982, 5, 119, 1680, 5, 107, 24861, 1114, 50223, 48174, 73, 159, 2328, 10853, 508, 5, 207, 50209, 5125, 4, 141, 91, 12, 7509, 4555, 43683, 7509, 96, 5885, 7, 50223, 253, 273, 5, 50223, 50264, 1182, 50268, 7085, 5, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 1182, 50268, 3023, 1363, 6, 16795, 450, 7509, 168, 6, 25272, 23, 12368, 28333, 12, 48126, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 4104, 1182, 50269, 1182, 50265, 1182, 50223, 253, 5, 3023, 1363, 7509, 168, 23, 534, 9, 47410, 8, 2185, 20933, 8722, 3333, 24, 210, 2153, 50223, 96, 7956, 163, 4394, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 3020, 3323, 864, 14039, 627, 7509, 116, 1157, 6, 43086, 17, 10413, 832, 50223, 71, 23767, 4104, 1182, 50264, 34543, 1182, 50265, 45, 1493, 1182, 50264, 39271, 4, 7044, 457, 1182, 50265, 1182, 50264, 7920, 1182, 50265, 7, 3717, 2445, 129, 9554, 73, 159, 2328, 10853, 4, 50223, 31533, 5, 8, 22113, 267, 134, 1054, 1182, 50189, 96, 8726, 52, 48, 12348, 406, 7, 9594, 3717, 50191, 5, 3206, 7956, 165, 9, 20913, 50223, 41509, 3323, 864, 14039, 627, 7509, 116, 1157, 6, 43086, 17, 10413, 832, 6, 23767, 4104, 50223, 50264, 20465, 738, 25411, 23, 1686, 6, 791, 1182, 50265, 28333, 12, 48126, 4104, 45, 1493, 1182, 50264, 609, 457, 1182, 50267, 1182, 50223, 50266, 7920, 1182, 50265, 7, 3717, 2445, 129, 9554, 73, 159, 2328, 10853, 4, 1396, 5, 8, 22113, 267, 134, 1054, 1182, 50189, 96, 8726, 52, 48, 12348, 406, 50223, 86, 9594, 3717, 50191, 5, 50223, 50264, 1584, 22492, 23, 12368, 28333, 12, 48126, 4104, 9, 1450, 7920, 20465, 915, 393, 12, 1182, 50267, 1182, 50223, 50266, 7509, 221, 1182, 50265, 7, 3717, 2445, 129, 9554, 73, 159, 2328, 10853, 30004, 45, 27954, 41916, 2316, 4, 38235, 15457, 50223, 27418, 2477, 1182, 50264, 3218, 6088, 563, 7048, 2985, 668, 2985, 4228, 3390, 6088, 6361, 14761, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826023
3
[ 0, 14039, 627, 1948, 1572, 6, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 50223, 32, 9554, 163, 159, 2328, 796, 1688, 864, 446, 5, 150, 5, 292, 2659, 50223, 37442, 654, 13164, 1672, 50244, 3206, 7956, 165, 50244, 43706, 7070, 13847, 7476, 285, 8, 5, 199, 5, 264, 2762, 873, 28323, 29780, 8, 5, 199, 5, 50223, 50264, 3283, 2287, 5269, 6909, 508, 5, 107, 1182, 50267, 1182, 50223, 50266, 1182, 50268, 15766, 1648, 1182, 50269, 1182, 50265, 1182, 50223, 50276, 1182, 50189, 2917, 12315, 22240, 30076, 5575, 6892, 3414, 524, 9041, 1852, 50191, 1182, 50277, 1182, 50223, 50264, 3206, 7956, 165, 1182, 50265, 1182, 50189, 22079, 6, 9354, 4, 7385, 9728, 4, 17502, 4746, 50191, 1182, 50264, 1182, 50244, 1182, 50265, 1182, 50223, 378, 2762, 873, 28323, 29780, 4, 12624, 5, 229, 5, 564, 5, 21302, 4, 2220, 13206, 8651, 207, 1260, 50209, 4135, 4, 539, 12126, 950, 9554, 73, 159, 2328, 10853, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 50264, 36492, 50244, 1182, 50265, 1182, 50223, 3171, 699, 505, 823, 4, 12624, 5, 581, 5, 430, 5, 1982, 4, 2220, 13206, 8651, 207, 1260, 50209, 4135, 4, 539, 12126, 950, 9554, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4826023
4
[ 0, 9, 20913, 6126, 482, 26814, 436, 18, 864, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 5, 50223, 211, 50191, 2355, 11671, 15611, 50244, 50223, 27, 42455, 47592, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 27, 42455, 20859, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 27, 19920, 47930, 10545, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 32, 9554, 163, 159, 2328, 796, 1688, 864, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 50276, 33336, 50244, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50279, 1182, 50223, 50278, 7509, 624, 1182, 50277, 1182, 50223, 50276, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50279, 1182, 50223, 50278, 7509, 624, 19771, 769, 267, 134, 1054, 1182, 50277, 1182, 50223, 7964, 9272, 7509, 1100, 50244, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4826295
0
[ 0, 50268, 16648, 631, 3813, 12570, 36828, 45225, 2334, 1182, 50269, 229, 5, 27, 281, 328, 50209, 6799, 50209, 196, 27, 32459, 5, 7437, 5, 10582, 5, 1508, 4120, 50223, 1865, 361, 3172, 406, 82, 11179, 5, 1182, 23077, 24504, 352, 7722, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 6284, 50223, 4767, 34382, 6, 11179, 5, 1182, 23077, 24504, 1260, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 50223, 190, 4083, 6284, 8722, 3333, 1182, 50189, 32092, 36, 19, 1182, 48870, 25177, 39919, 48870, 19594, 50191, 50223, 5659, 408, 50244, 50223, 33201, 7306, 400, 50244, 50223, 37442, 654, 13164, 1672, 50244, 50223, 8227, 45936, 50223, 1930, 7780, 50244, 258, 5, 351, 5, 30413, 107, 4, 539, 1508, 3317, 45936, 50223, 272, 24069, 50244, 2985, 259, 1260, 1659, 612, 50223, 32, 42727, 7, 713, 3489, 1251, 2043, 1157, 77, 864, 236, 5, 7062, 5, 5125, 5199, 50244, 50223, 7895, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 5, 60, 7780, 1182, 50244, 1050, 14917, 429, 4, 539, 1508, 50223, 7595, 45936, 35222, 1253, 50244, 2627, 950, 266, 8595, 186, 1025, 4035, 50244, 50223, 3801, 1508, 5125, 1105, 3294, 711, 28270, 8, 23219, 16590, 50223, 36451, 168, 1972, 8497, 4, 31439, 130, 270, 4, 34179, 508, 5, 50244, 34350, 2458, 50209, 335, 50223, 290, 13322, 406, 41000, 767, 11511, 50244, 5176, 5, 1161, 459, 2731, 1182, 27, 36153, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 1514, 7956, 165, 50244, 50223, 44601, 36064, 153, 50223, 2272, 23273, 21, 455, 3574, 406, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 393, 36, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 4312, 1648, 3947, 10003, 14187, 16562, 3206, 7956, 453, 50244, 50223, 253, 5, 38303, 36064, 153, 4, 12624, 5, 50223, 33201, 7306, 400, 1294, 35985, 407, 4, 13, 31, 8688, 324, 30, 26245, 635, 19009, 8, 10123, 3331, 6, 21374, 5694, 50223, 96, 7956, 176, 3305, 11139, 168, 15, 2581, 50244, 50223, 272, 5, 50223, 196, 50223, 1054, 32, 3982, 11160, 3936, 1783, 474, 48918, 2169, 50223, 253, 5, 18277, 236, 5, 7062, 5, 5125, 124, 146, 5199, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 551, 60, 7780, 1182, 50244, 1050, 14917, 50223, 497, 4, 539, 1508, 3317, 45936, 4, 35222, 1253, 50244, 2627, 950, 266, 8595, 19, 13725, 8789, 599, 6, 14151, 68, 45936, 4, 60, 7780, 50223, 315, 5, 351, 5, 30413, 107, 4, 539, 1508, 3317, 45936, 4, 35222, 1253, 50244, 2985, 150, 1260, 655, 612, 19, 13725, 329, 455, 4, 43683, 50223, 31659, 9661, 1182, 23077, 24504, 6026, 444, 6, 856, 158, 5, 638, 508, 5, 229, 2247, 50209, 34836, 10833, 5, 10584, 80, 41348, 8, 4083, 6284, 50223, 6305, 515, 3333, 1182, 50189, 32092, 36, 19, 1182, 48870, 25177, 14541, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826295
1
[ 0, 41348, 50191, 3489, 1251, 9280, 5885, 1182, 50189, 32092, 36, 19, 50223, 48870, 25177, 9392, 1251, 9280, 5885, 48870, 19594, 50191, 5, 50223, 196, 5, 18277, 6981, 5, 7062, 5, 5125, 124, 146, 5199, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 551, 60, 7780, 1182, 50244, 1050, 14917, 50223, 497, 4, 539, 1508, 3317, 45936, 4, 35222, 1253, 50244, 2627, 950, 266, 8595, 19, 38246, 6, 14151, 68, 45936, 4, 60, 7780, 258, 5, 50223, 500, 5, 30413, 107, 4, 539, 1508, 3317, 45936, 4, 35222, 1253, 50244, 2985, 150, 1260, 655, 612, 19, 19964, 4394, 4, 43683, 50223, 31659, 638, 4378, 333, 508, 5, 411, 196, 50209, 41793, 239, 5, 15, 5, 17, 18888, 4394, 6, 15086, 3731, 5352, 8, 4083, 50223, 52, 9761, 1197, 3333, 41590, 17, 10244, 1173, 1182, 50189, 32092, 36, 19, 1182, 48870, 25177, 39919, 17, 10244, 1173, 48870, 19594, 50191, 5, 50223, 259, 5, 6871, 2081, 20491, 45936, 4, 12, 5, 199, 5, 143, 5, 7, 713, 16399, 3489, 1251, 2043, 1157, 6, 25312, 17, 10244, 50223, 27804, 465, 10550, 4618, 12, 14151, 68, 45936, 427, 50244, 50223, 71, 50191, 5376, 2548, 4, 12425, 6, 14024, 1101, 47275, 4394, 4, 749, 1459, 9, 8, 46801, 2784, 50223, 4468, 2186, 73, 1253, 3538, 2458, 4, 14702, 466, 1253, 29149, 4, 7, 2240, 1504, 5394, 342, 4, 3648, 391, 9, 7, 5304, 50223, 28463, 136, 1182, 48870, 25177, 318, 48870, 19594, 4, 826, 5865, 73, 1253, 429, 8065, 50209, 259, 29784, 1713, 7, 44748, 1253, 3811, 668, 24, 30, 5, 293, 5, 45936, 4, 50223, 211, 50191, 11708, 34543, 1157, 12, 7509, 1351, 5630, 4394, 8, 2332, 60, 11009, 52, 9735, 221, 50223, 86, 16044, 636, 607, 45936, 6579, 4818, 1212, 34345, 8, 41231, 7, 1504, 5394, 279, 2240, 6, 50223, 88, 43071, 449, 63, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 4, 19, 16, 50223, 465, 18798, 177, 306, 1154, 6, 3488, 29897, 2875, 5630, 4394, 4, 50223, 134, 50191, 5376, 19620, 8, 4481, 13725, 22987, 45, 371, 16748, 17498, 899, 2253, 14468, 7509, 168, 4, 5376, 50223, 15357, 19620, 30, 5401, 996, 45638, 449, 549, 24922, 4, 913, 25272, 20025, 50209, 26763, 515, 50223, 379, 37884, 13153, 12, 6123, 3991, 14, 19396, 4, 50223, 201, 50191, 5376, 19620, 45, 12458, 4481, 45, 371, 16748, 17498, 1276, 37884, 23, 1686, 6, 791, 4, 39, 31, 50223, 6101, 250, 1852, 13725, 361, 3858, 4, 5376, 6296, 19620, 30, 5401, 996, 45638, 449, 549, 24922, 4, 50223, 190, 506, 9468, 25272, 20025, 50209, 26763, 515, 10717, 13153, 12, 6123, 3991, 14, 19396, 4, 50223, 179, 50191, 25768, 6296, 3168, 30, 3556, 1692, 6, 7816, 13725, 22987, 4, 3110, 7509, 185, 21737, 4, 50223, 235, 50191, 5845, 7709, 4, 14024, 6, 11512, 12875, 5440, 4, 12875, 1733, 27870, 1374, 50223, 4468, 2186, 73, 1253, 3538, 2458, 4, 14702, 466, 1253, 29149, 4, 7, 2240, 1504, 5394, 342, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 9837, 1212, 3110, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826295
2
[ 0, 6165, 50223, 8021, 5, 50223, 12570, 631, 3813, 11160, 113, 9673, 42171, 12036, 2718, 15293, 1372, 3370, 130, 1584, 1598, 2287, 2334, 11816, 315, 30934, 315, 3692, 280, 16648, 631, 19995, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 3020, 29897, 11890, 32169, 34543, 15768, 22376, 22983, 1572, 50223, 401, 1493, 580, 196, 4, 5965, 9980, 1182, 50189, 7319, 68, 522, 1152, 23796, 48843, 19965, 457, 6, 10685, 23796, 13105, 50191, 913, 4035, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 3020, 29897, 11890, 640, 7509, 168, 16, 20465, 248, 7433, 23, 791, 3938, 50223, 56, 48126, 14108, 34345, 1182, 50189, 48627, 256, 2771, 6022, 4, 16543, 6, 21915, 17447, 902, 964, 4, 40066, 10545, 50223, 1210, 3357, 4675, 6, 1651, 4, 7045, 23, 6677, 12387, 279, 964, 4, 21690, 5, 517, 50191, 913, 4601, 50223, 290, 24066, 12368, 4, 6, 11, 16, 8, 265, 4, 93, 21, 66, 7, 9426, 3664, 4601, 2933, 7, 713, 50223, 100, 47701, 168, 3003, 33, 77, 638, 705, 29897, 1672, 50245, 8, 7708, 265, 10, 29897, 1672, 50223, 1776, 30763, 12989, 7509, 2042, 8, 18861, 161, 28977, 35624, 8680, 5073, 2057, 15015, 59, 50223, 1776, 30129, 3020, 23, 24066, 12368, 19, 16, 6594, 10242, 12368, 5, 5719, 22185, 39802, 6, 16, 6594, 50223, 6248, 320, 8133, 13153, 48126, 14108, 34345, 10, 7025, 644, 45, 12826, 13356, 12239, 4, 47, 3923, 50223, 328, 50223, 52, 702, 11396, 8860, 5959, 237, 25312, 5, 159, 265, 4, 93, 14, 7509, 165, 16, 901, 7314, 881, 10419, 996, 50223, 470, 3925, 137, 82, 17905, 11711, 10873, 172, 399, 3657, 805, 1833, 3862, 6, 7314, 2183, 82, 50223, 4767, 4753, 3563, 11711, 4, 8495, 8, 1617, 3331, 29897, 11890, 23, 9238, 4, 376, 120, 8, 2555, 50223, 573, 597, 132, 2499, 19653, 5, 3023, 1363, 20465, 422, 22471, 23, 791, 3938, 12, 48126, 14108, 34345, 50223, 278, 28935, 7, 5104, 45, 1493, 23834, 4, 3192, 9980, 1182, 50189, 7319, 68, 522, 217, 702, 48595, 19965, 457, 6, 45924, 13105, 50191, 50223, 71, 10, 16795, 96, 7920, 5, 50223, 259, 5, 3206, 7956, 73, 82, 1680, 5, 107, 332, 1973, 25312, 6, 20465, 248, 7433, 82, 5484, 119, 332, 1973, 25312, 50223, 290, 671, 1636, 15778, 34345, 18084, 1665, 7509, 165, 29897, 11890, 932, 32377, 8, 1680, 5, 207, 4, 1396, 5, 50223, 266, 332, 1973, 5617, 38, 38540, 237, 1157, 5, 50223, 328, 5, 3206, 7956, 73, 82, 1680, 5, 107, 332, 1973, 25312, 23, 574, 1732, 39571, 7671, 3317, 5, 9192, 5, 1508, 2659, 240, 50223, 96, 7956, 391, 3104, 287, 45, 1493, 580, 196, 4, 5965, 9980, 1182, 50189, 7319, 68, 522, 1152, 23796, 48843, 19965, 457, 6, 10685, 23796, 13105, 50191, 50223, 12433, 1473, 3734, 4, 377, 5617, 30, 387, 5, 19225, 4855, 12837, 1636, 88, 4, 23, 47, 9, 50223, 96, 7956, 73, 1450, 4, 6, 11, 8, 16919, 18, 6016, 52, 29112, 1992, 8, 37867, 104, 4, 33, 110, 45978, 221, 50223, 1210, 2932, 68, 7, 3717, 29897, 2875, 508, 5, 293, 5, 50244, 3218, 1635, 563, 7048, 2985, 668, 2985, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4826295
3
[ 0, 8472, 23, 5198, 8609, 4, 25728, 4, 6, 11, 28, 50223, 4767, 4753, 3563, 7404, 12, 7509, 391, 6, 36, 28, 19063, 7546, 176, 1785, 5, 50223, 35385, 5, 50223, 7511, 2080, 2334, 113, 225, 2158, 2013, 45098, 2047, 16648, 631, 3813, 318, 280, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 8764, 11317, 34345, 2794, 12, 19559, 45469, 8, 237, 8195, 1182, 50189, 48870, 25177, 23907, 118, 50223, 5950, 6659, 14187, 16562, 48870, 19594, 50191, 6, 6237, 15, 458, 32305, 1096, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 4, 13, 18, 1020, 2957, 734, 29, 14039, 627, 237, 25312, 478, 19, 16, 2639, 50223, 23907, 118, 3947, 6659, 14187, 16562, 2747, 8, 237, 34124, 348, 15395, 7, 17502, 4746, 8, 923, 50223, 368, 117, 1912, 1512, 1182, 50189, 470, 14108, 34345, 50191, 4, 7, 35, 120, 29897, 1672, 19, 25356, 14108, 34345, 25757, 1294, 50223, 56, 3368, 4293, 5, 50223, 259, 5, 3206, 7956, 165, 9, 20913, 42569, 389, 14, 25, 4, 41, 24484, 117, 373, 5660, 7208, 7, 9134, 51, 34345, 50245, 660, 50223, 100, 23696, 256, 29897, 11890, 23, 9238, 4, 95, 4005, 10873, 3991, 237, 3488, 5, 159, 265, 4, 93, 4869, 50223, 86, 9134, 51, 34345, 4576, 4, 7509, 165, 110, 23252, 26169, 7, 102, 8390, 39874, 34896, 709, 932, 50223, 1600, 5048, 221, 18367, 7937, 19501, 6, 93, 34, 4576, 7, 9134, 51, 34345, 4005, 4, 7084, 7509, 165, 50223, 1600, 5048, 73, 2700, 7, 3572, 3436, 37355, 28765, 5, 267, 549, 14483, 7580, 10, 7509, 165, 50223, 1776, 30763, 29897, 2875, 110, 23252, 26169, 6603, 5, 50223, 497, 50223, 328, 5, 3206, 7956, 165, 3199, 25725, 18, 7336, 639, 3016, 13671, 14108, 34345, 4, 17779, 40413, 6, 7458, 20071, 65, 7, 11317, 50223, 96, 31916, 5931, 2827, 11498, 15452, 3511, 4, 19005, 148, 4, 28227, 135, 6, 2410, 1651, 5, 46560, 3436, 332, 50223, 49266, 25312, 77, 400, 7509, 453, 951, 9989, 9983, 25312, 12, 5274, 10115, 6001, 50223, 56, 1282, 3439, 7509, 168, 3003, 77, 400, 29897, 2875, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 4, 13, 48, 303, 1377, 2193, 34345, 11317, 34345, 913, 59, 31, 35133, 15575, 50223, 190, 1179, 6, 6264, 51, 6, 38, 11203, 161, 46464, 13554, 59, 23538, 636, 10, 2933, 3334, 50223, 143, 12777, 4, 21690, 5, 2065, 11793, 7, 232, 2101, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 2937, 40599, 29897, 11890, 2603, 9046, 7794, 11969, 2971, 33, 50223, 9866, 450, 1648, 4, 5069, 8, 9134, 51, 34345, 33, 7794, 11969, 1838, 3223, 1863, 5, 50223, 497, 5, 3206, 7956, 165, 9, 20913, 4, 13, 306, 3357, 530, 27870, 1374, 1182, 50189, 4326, 15406, 26426, 4, 8356, 37216, 4, 1183, 50223, 929, 6489, 137, 50191, 28, 18814, 9065, 14029, 73, 8, 2185, 17914, 19362, 8722, 3333, 17, 3556, 50223, 4767, 9365, 8326, 6, 17, 3592, 6, 3556, 4393, 38, 1534, 5, 3206, 7956, 165, 3199, 8, 4658, 12875, 50223, 35133, 27870, 1374, 5931, 2827, 4, 14221, 180, 4, 3298, 180, 6208, 18254, 1999, 371, 5, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4826651
0
[ 0, 50264, 3206, 7956, 96, 5885, 508, 5, 150, 50209, 1508, 2659, 1182, 50267, 1182, 50223, 50266, 43683, 8, 2185, 508, 5, 1164, 444, 50209, 29608, 10833, 5, 17, 14523, 87, 6, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 1182, 50267, 1182, 50223, 50266, 6284, 3333, 1182, 50265, 1182, 50223, 5659, 408, 50223, 50264, 225, 1402, 654, 13164, 1672, 1182, 50244, 29013, 3176, 4, 33944, 325, 5438, 444, 50209, 196, 4, 849, 30877, 108, 159, 26329, 6951, 1182, 50267, 1182, 50223, 50266, 159, 42727, 1182, 50244, 11680, 5, 17025, 41173, 3974, 4, 11900, 817, 1182, 50267, 1182, 50223, 50266, 18188, 1182, 50244, 2627, 1260, 444, 4487, 444, 1182, 50267, 1182, 50223, 50266, 115, 15563, 1182, 50244, 292, 196, 2342, 2659, 13157, 328, 1182, 50267, 1182, 50223, 50266, 5084, 1034, 5668, 1182, 50244, 33978, 3566, 558, 4, 6, 5, 56, 5, 1182, 48870, 25877, 38235, 15457, 1182, 50267, 1182, 50223, 50266, 1046, 28978, 7250, 1182, 50244, 1427, 2458, 13157, 1229, 444, 1182, 50209, 6026, 668, 1182, 50267, 1182, 50223, 50266, 1427, 2458, 13157, 20014, 1182, 50209, 6026, 668, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 165, 1182, 50244, 6651, 5363, 134, 1182, 50272, 34727, 2502, 17446, 8610, 903, 4408, 1182, 50273, 1182, 50267, 1182, 50223, 50266, 159, 42727, 1182, 50244, 6651, 5363, 134, 1182, 50267, 1182, 50223, 50266, 31629, 3288, 1182, 50244, 23364, 207, 50209, 196, 4, 539, 14875, 3317, 15457, 1182, 50267, 1182, 50223, 50266, 18188, 1182, 50244, 2345, 21658, 563, 4064, 1182, 50267, 1182, 50223, 50266, 5084, 1034, 5668, 1182, 50244, 1182, 50267, 1182, 50223, 50266, 1046, 28978, 7250, 1182, 50244, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 12, 7509, 391, 21374, 5694, 7509, 176, 3305, 23, 11139, 163, 2318, 50244, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 38511, 7509, 2042, 18, 18512, 5069, 45, 18888, 2445, 129, 849, 30877, 108, 159, 26329, 6951, 50223, 190, 3920, 31023, 817, 4, 33944, 325, 5438, 444, 50209, 196, 4, 849, 30877, 108, 159, 26329, 6951, 5, 50223, 37442, 654, 13164, 1672, 2325, 7509, 2042, 18, 20767, 15086, 2464, 1183, 1182, 48870, 25877, 7990, 19616, 234, 2758, 6, 5565, 52, 5, 50223, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 1584, 21854, 20767, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 7625, 7509, 2042, 9134, 1168, 4675, 23, 5198, 12353, 980, 5697, 1182, 48870, 25877, 26605, 50223, 2975, 308, 357, 8, 1728, 8, 2145, 11591, 24358, 8, 628, 29, 580, 5, 1508, 18, 387, 5, 1508, 1502, 5, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 1514, 7956, 96, 5885, 9, 11708, 7, 1785, 13907, 1182, 50264, 29, 1182, 50265, 1182, 50264, 411, 5, 259, 5, 1508, 2659, 1182, 50265, 1182, 50264, 18, 1182, 50265, 1182, 50264, 1315, 5, 266, 5, 1508, 2659, 1182, 50265, 44, 50223, 1514, 7956, 141, 91, 12717, 10642, 10811, 7, 713, 19820, 16051, 5524, 3247, 333, 33, 50223, 31134, 1804, 2476, 9225, 3598, 3656, 333, 28, 1785, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4826651
1
[ 0, 15778, 42074, 324, 1751, 5545, 233, 2158, 3165, 50223, 27, 1250, 6, 303, 332, 2584, 7509, 165, 34543, 6, 1062, 23, 11928, 15611, 8957, 5, 50223, 50264, 1046, 158, 5, 10903, 1182, 50267, 1182, 50223, 50266, 21837, 209, 481, 22983, 1572, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 50244, 50223, 190, 2145, 2499, 12353, 980, 5697, 3334, 15584, 817, 6, 1228, 17102, 18, 50223, 465, 2253, 14068, 5352, 3337, 817, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 50244, 50223, 71, 50191, 4730, 12253, 12702, 4675, 6, 1651, 36, 7, 45300, 5204, 4, 50223, 211, 50191, 14493, 7, 478, 3657, 1182, 50244, 50223, 27, 33820, 380, 17364, 6, 12618, 15, 19616, 1473, 18, 21038, 794, 1769, 19227, 19616, 1473, 4, 50223, 27, 15420, 1098, 19616, 1473, 6, 5565, 172, 67, 15543, 18, 5352, 6, 26619, 14953, 50223, 290, 13459, 18, 21038, 794, 1769, 19616, 1473, 5, 3206, 7956, 165, 10, 2933, 9926, 16, 26619, 50223, 379, 25388, 282, 33820, 18, 21038, 794, 1769, 19616, 1473, 6, 1767, 30064, 389, 5846, 168, 50223, 24601, 1100, 817, 5, 159, 265, 4, 13, 9926, 14953, 496, 34254, 8, 21038, 794, 4790, 50223, 51, 117, 13085, 1473, 6, 223, 14953, 9, 1767, 13952, 28, 9345, 7509, 453, 4, 48, 7509, 165, 23, 9238, 50223, 100, 702, 26613, 8, 6941, 1493, 5, 50223, 27, 23366, 23, 9238, 7, 2856, 29897, 2875, 4, 376, 19653, 295, 788, 33, 1371, 4, 39, 50223, 39719, 8764, 12253, 12702, 4675, 393, 12, 783, 4, 33, 12, 59, 33691, 8, 6941, 1493, 5, 50223, 32, 265, 2720, 3664, 29640, 4, 10, 7509, 165, 2933, 22516, 29897, 11890, 19280, 50223, 2622, 428, 5617, 18, 580, 734, 3323, 864, 102, 2720, 5, 12463, 9, 36183, 27715, 8, 28787, 4, 93, 72, 50223, 379, 25388, 319, 17, 11, 21316, 6, 93, 10, 11, 434, 6, 5204, 73, 4, 36183, 27715, 9, 4576, 31896, 18, 50223, 147, 16390, 168, 2447, 5, 50223, 27, 31767, 3334, 3497, 12353, 980, 5697, 15928, 14796, 4, 50223, 27, 30988, 306, 1371, 12731, 14688, 9, 7, 35415, 12253, 26122, 5352, 12, 21235, 63, 50223, 1210, 1887, 8, 27230, 6, 459, 20197, 3991, 30, 7472, 6411, 38547, 3354, 19616, 2206, 8, 927, 7616, 17531, 50223, 6149, 179, 32175, 29, 411, 5, 828, 5, 6218, 4, 50223, 27, 3334, 4, 41, 1371, 4, 39, 240, 8764, 12253, 12702, 4675, 393, 12, 783, 4, 33, 12, 59, 50223, 19076, 433, 4, 110, 929, 4082, 52, 12785, 789, 50244, 50223, 71, 50191, 3024, 3724, 3439, 8, 4658, 817, 4, 50223, 211, 50191, 3024, 5481, 8, 4658, 817, 8, 22698, 4, 95, 41405, 8769, 7, 37619, 4, 50223, 134, 50191, 33920, 6, 5111, 4, 50223, 201, 50191, 23325, 5565, 172, 6, 5352, 817, 18, 387, 1102, 28, 6067, 8217, 4, 50223, 179, 50191, 20804, 1371, 7357, 940, 8631, 3273, 6, 26445, 1268, 12253, 26122, 5352, 4, 50223, 235, 50191, 3024, 8, 96, 18970, 25329, 4, 2367, 22743, 1023, 4, 20086, 28775, 2832, 11539, 647, 6, 108, 5, 18, 3406, 817, 5, 50223, 220, 50191, 3657, 8517, 4751, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826651
2
[ 0, 3206, 7956, 165, 10, 2933, 6663, 1458, 858, 23, 1686, 18688, 5, 50223, 196, 5, 43001, 3729, 1458, 6, 50209, 2800, 6409, 2581, 237, 1157, 9, 363, 8365, 188, 7, 713, 3291, 50223, 854, 1080, 9139, 22983, 1572, 4, 6, 11, 45, 2722, 8380, 163, 6, 4644, 7319, 1612, 11175, 269, 30, 8195, 50223, 4595, 15198, 1612, 10260, 63, 21966, 1948, 22983, 1572, 5, 50223, 259, 5, 34124, 7306, 400, 9, 23, 10451, 407, 4, 13, 8, 265, 4089, 6754, 2092, 9, 240, 7314, 6603, 50223, 71, 11580, 7188, 2010, 46896, 5, 50223, 328, 5, 12256, 5885, 10, 43683, 7, 1785, 13907, 6, 26545, 15372, 7671, 102, 19707, 168, 14039, 627, 5, 50223, 266, 5, 12256, 5885, 26545, 8618, 82, 1182, 23077, 24504, 5708, 71, 1680, 5, 107, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 28913, 19088, 50223, 190, 4083, 6284, 3333, 7671, 16774, 3398, 28, 1090, 102, 17860, 5, 50223, 444, 5, 3206, 7956, 82, 237, 1157, 4541, 46622, 2193, 34345, 5, 50223, 497, 5, 41590, 10, 8868, 406, 8, 556, 24988, 2777, 3250, 4, 3606, 1247, 2022, 260, 17787, 5, 50223, 528, 5, 34124, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 13496, 11569, 6507, 4, 102, 3831, 37742, 6, 7, 7961, 50223, 4468, 956, 582, 3305, 5114, 407, 1182, 50264, 44, 1182, 50265, 1182, 50223, 32, 849, 213, 51, 108, 159, 26329, 6951, 4, 864, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 17025, 41173, 3974, 6651, 5363, 134, 50223, 979, 17282, 53, 817, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 4578, 849, 30877, 108, 159, 26329, 6951, 50223, 315, 8049, 5, 2380, 8523, 8312, 278, 19198, 5, 50223, 467, 48451, 1114, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4826805
0
[ 0, 107, 50223, 50264, 1182, 50268, 3206, 7956, 96, 5885, 508, 5, 20203, 50209, 1508, 2659, 1182, 27, 658, 4120, 497, 1182, 50269, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 82, 19362, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 6, 108, 96, 8842, 15086, 3731, 13779, 5102, 137, 8, 4083, 6284, 3333, 6, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 28913, 50223, 1297, 1282, 1100, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 19594, 100, 32445, 177, 48870, 19594, 50191, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 50264, 1046, 158, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 50244, 8286, 27547, 545, 50223, 34112, 3288, 50244, 36680, 9184, 704, 196, 50209, 328, 4, 6174, 528, 3317, 27547, 545, 50223, 367, 13322, 319, 50244, 25884, 5, 1184, 477, 6824, 5, 45701, 1292, 652, 275, 4, 19198, 551, 46613, 50223, 272, 24069, 50244, 2985, 259, 828, 3018, 266, 50223, 182, 15563, 50244, 292, 196, 1260, 497, 2606, 4463, 50223, 27418, 2477, 50244, 3218, 3100, 6981, 668, 2985, 668, 2985, 1659, 229, 2659, 444, 539, 2659, 50223, 12959, 1034, 5668, 50244, 3585, 30547, 692, 4, 6, 5, 12, 5, 50223, 335, 823, 5, 1253, 50244, 563, 7220, 50209, 266, 5728, 1105, 3410, 4, 563, 7220, 50209, 266, 5728, 1105, 2341, 50223, 50189, 32092, 36, 1182, 50264, 84, 4, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 1182, 50265, 1182, 50223, 71, 50223, 1514, 7956, 165, 1182, 50244, 333, 1182, 27, 21600, 24, 385, 6, 1234, 32122, 50223, 34112, 3288, 50244, 10802, 243, 1087, 1690, 3538, 5275, 4, 539, 6088, 3317, 32122, 50223, 367, 13322, 319, 50244, 11680, 5, 11392, 1225, 1124, 1265, 3418, 252, 4, 2070, 308, 50223, 272, 24069, 50244, 42586, 1635, 328, 5965, 50223, 182, 15563, 50244, 292, 196, 1635, 1659, 3410, 259, 50223, 27418, 2477, 50244, 3218, 9192, 430, 2267, 1196, 2985, 668, 2985, 3192, 2985, 13157, 3624, 18560, 50223, 12959, 1034, 5668, 50244, 38144, 6016, 1718, 50223, 335, 823, 5, 1253, 50244, 16718, 266, 3100, 2137, 9924, 4, 16718, 497, 6799, 497, 1508, 196, 50223, 2348, 6506, 2200, 4338, 8, 48094, 14096, 21016, 164, 516, 4, 2496, 1171, 6, 1234, 4, 50223, 100, 16044, 406, 239, 979, 1178, 45781, 696, 2962, 77, 864, 568, 5, 7044, 5, 47754, 8, 4083, 102, 6284, 11175, 269, 50223, 50189, 32092, 36, 1182, 50264, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 1182, 50265, 1182, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 393, 16, 19, 1182, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
4826805
1
[ 0, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 1182, 50265, 1182, 50191, 50223, 50264, 1046, 158, 5, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 8472, 8, 30, 5, 635, 5, 27547, 545, 4, 1719, 27547, 545, 4, 50223, 661, 1186, 27547, 545, 4, 6, 11, 4574, 108, 1885, 1182, 48870, 25177, 24524, 302, 1555, 48870, 19594, 4, 31, 147, 5, 508, 5, 704, 196, 4, 2411, 480, 35090, 7825, 5, 50223, 48870, 25177, 318, 48870, 19594, 508, 5, 3726, 4708, 1182, 27, 3591, 780, 6080, 6, 30438, 164, 17, 20216, 236, 6088, 413, 196, 4, 29784, 1612, 8, 43787, 7, 44748, 50223, 234, 5, 727, 4549, 1200, 2188, 7, 21251, 161, 9488, 27547, 545, 4, 20944, 135, 2389, 4, 8, 18953, 125, 107, 50209, 253, 5, 50223, 196, 5, 550, 713, 3291, 22983, 1572, 6, 8, 2185, 22107, 29112, 8938, 50223, 190, 27547, 362, 1253, 414, 253, 50209, 10311, 50209, 1508, 2659, 77, 864, 1315, 5, 196, 5, 1508, 2659, 29897, 1672, 17998, 133, 2031, 7509, 2042, 4, 50223, 3486, 23, 22699, 194, 12717, 8084, 583, 637, 15086, 3731, 5352, 749, 1459, 9, 7, 50223, 196, 5, 10057, 3406, 29112, 1992, 8, 27547, 362, 7, 27148, 9184, 508, 5, 704, 196, 50209, 328, 50223, 190, 27547, 362, 4, 393, 17, 20216, 2466, 4, 4120, 413, 196, 4, 82, 21037, 980, 5460, 8, 25281, 508, 5, 253, 237, 50223, 100, 32445, 465, 4, 95, 10, 36304, 1073, 237, 1157, 4, 6, 11, 50244, 50223, 27, 13676, 508, 5, 1226, 196, 17, 5961, 20216, 568, 4, 11297, 413, 196, 4, 50223, 27, 13676, 508, 5, 1226, 259, 17, 5961, 20216, 568, 4, 11297, 413, 196, 5, 50223, 196, 50223, 259, 5, 212, 10413, 1657, 6, 6127, 290, 4938, 15086, 3731, 5352, 8433, 18, 229, 734, 28, 9848, 2797, 50223, 293, 4554, 481, 237, 1157, 82, 9982, 5, 1382, 20024, 5, 1004, 107, 5, 237, 1157, 4, 7, 713, 31087, 50223, 42424, 173, 271, 4, 47, 42272, 3377, 24466, 28444, 400, 5, 50223, 50264, 1046, 158, 5, 7085, 5, 1182, 50267, 1182, 50223, 50266, 1584, 21854, 34345, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 48, 2747, 15086, 2081, 4675, 8764, 8, 2332, 60, 239, 979, 1178, 45781, 2321, 2962, 77, 50223, 201, 692, 568, 5, 612, 5, 47754, 8, 4083, 102, 6284, 3333, 84, 23, 5198, 48000, 5352, 24, 50223, 4554, 450, 24, 2496, 4709, 6, 4007, 23038, 7, 1258, 10140, 28341, 24, 50223, 2563, 725, 6, 385, 8, 601, 11990, 1588, 1182, 48870, 25177, 1929, 3368, 4224, 5899, 11342, 47323, 50223, 553, 17071, 1037, 6, 4205, 373, 5826, 246, 1182, 50189, 32092, 1182, 48870, 25177, 351, 2158, 10172, 174, 48870, 19594, 50191, 8, 601, 32276, 19376, 1562, 50223, 14088, 355, 3361, 4, 1962, 424, 12649, 196, 5, 253, 36584, 5899, 2718, 3982, 71, 3801, 2586, 511, 3096, 185, 6, 50209, 2800, 13494, 185, 50223, 2650, 2896, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 12253, 12702, 15086, 2081, 4675, 8764, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4826805
2
[ 0, 6603, 7509, 453, 5, 50223, 328, 5, 225, 1402, 654, 13164, 1672, 5853, 7509, 2042, 8, 12253, 26122, 4658, 11355, 366, 3482, 515, 25225, 50223, 71, 7860, 2763, 7063, 1396, 5, 17291, 7, 7999, 6, 8, 7999, 7, 2183, 50223, 96, 7956, 453, 5, 2346, 48548, 905, 7860, 17291, 23328, 8380, 881, 7663, 29897, 2875, 50223, 71, 37, 10, 7721, 9380, 4924, 5, 50223, 50264, 1046, 158, 5, 159, 10311, 5, 1182, 50267, 1182, 50223, 50266, 24766, 177, 6, 3488, 7509, 453, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 8764, 11317, 34345, 8, 3331, 5446, 2188, 3507, 21737, 303, 50223, 2272, 1800, 2193, 34345, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 5013, 29897, 11890, 1062, 34345, 6, 2183, 23, 1686, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 42569, 389, 14, 25, 4, 41, 24484, 117, 373, 5660, 7208, 4, 7794, 996, 2856, 50223, 147, 1402, 654, 13164, 2875, 5, 3206, 7956, 165, 9, 20913, 13242, 6334, 9, 2499, 4, 744, 21, 675, 42089, 1258, 50223, 26450, 1919, 4, 47275, 33, 3175, 4158, 1692, 708, 1648, 8, 6967, 4, 8, 381, 9, 50223, 86, 4753, 11317, 34345, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 11850, 12900, 29897, 11890, 110, 23252, 26169, 5289, 50223, 143, 6305, 4, 39, 10, 2933, 210, 3334, 6, 17559, 120, 43, 14755, 5, 33180, 8495, 50223, 290, 4089, 12112, 9238, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 3334, 5747, 10510, 11512, 4, 14024, 4, 9310, 12, 24028, 8104, 50223, 939, 35206, 3273, 7, 232, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 9, 20913, 15575, 5111, 6, 33920, 12253, 26122, 15086, 3731, 5352, 50223, 71, 3334, 43, 31566, 5, 50223, 497, 5, 159, 2185, 638, 14275, 500, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 6284, 50223, 4767, 34382, 9, 7509, 165, 20913, 26598, 389, 3387, 2447, 12253, 26122, 15086, 3731, 50223, 13779, 5102, 137, 15, 2568, 41899, 12909, 116, 22831, 5, 50223, 528, 5, 3206, 7956, 165, 28, 1884, 1785, 7509, 168, 3003, 37, 10, 10260, 17998, 11668, 15086, 2464, 1183, 50223, 2800, 59, 637, 18, 108, 96, 31916, 6, 20913, 9, 589, 979, 1178, 180, 30, 14108, 34345, 517, 1154, 50223, 190, 3035, 17556, 1648, 5, 50223, 612, 5, 3206, 7956, 165, 14, 10016, 7, 232, 2183, 8, 2332, 12, 33884, 41090, 44787, 50223, 6683, 129, 4, 638, 508, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 1534, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 43, 5376, 1919, 3333, 20526, 17, 3592, 6, 3556, 50223, 13325, 1662, 38, 1534, 4, 19, 16, 17341, 1916, 9115, 82, 5771, 1040, 3333, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 6603, 19276, 4, 5617, 8, 9124, 430, 734, 4, 29897, 2875, 50223, 143, 11883, 18853, 1049, 7509, 453, 1182, 50189, 22288, 5, 2461, 4, 31181, 6268, 4, 10336, 4, 36153, 943, 4, 50223, 28463, 9006, 6529, 2875, 4035, 4, 37421, 5668, 5, 5, 5, 50191, 4, 19, 16, 17, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4827676
0
[ 0, 50272, 1182, 23077, 9652, 3577, 1182, 50273, 1182, 50223, 50264, 1182, 50268, 41590, 17, 14523, 87, 1182, 50269, 1182, 50265, 1182, 50223, 234, 5, 1182, 50264, 38600, 50209, 1508, 2659, 1182, 50265, 1182, 50223, 37442, 654, 13164, 1672, 50244, 1182, 50264, 8286, 5423, 4, 1182, 50265, 60, 7780, 17199, 1054, 50244, 36680, 5332, 16909, 107, 4, 563, 1164, 1270, 5423, 4, 50223, 126, 19219, 11730, 466, 1253, 50244, 2985, 1961, 253, 429, 10883, 4, 50223, 50264, 3206, 7956, 165, 50244, 1182, 50265, 1253, 7250, 186, 38810, 50244, 3218, 6799, 6026, 668, 2985, 668, 974, 259, 414, 4228, 2418, 253, 4, 50223, 190, 59, 4481, 12233, 1218, 50244, 11680, 5, 1161, 24653, 3052, 52, 1182, 27, 1600, 22483, 50223, 50189, 32092, 195, 36, 19, 1182, 48870, 25177, 147, 1402, 654, 13164, 51, 40, 50250, 50191, 50223, 71, 50223, 50264, 233, 27681, 12, 5, 199, 5, 143, 5, 1182, 50265, 10336, 50244, 6766, 545, 15034, 840, 253, 4, 5423, 50223, 126, 19219, 11730, 466, 1253, 50244, 2627, 430, 2267, 387, 253, 50223, 290, 15198, 1013, 8, 10584, 161, 16590, 19168, 1972, 5423, 50223, 190, 10157, 5, 130, 270, 34179, 508, 5, 48846, 5965, 50209, 386, 50223, 190, 59, 4481, 12233, 1218, 1182, 50272, 1182, 50244, 1182, 50273, 5894, 33905, 56, 4, 36153, 50223, 50189, 32092, 195, 36, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50264, 25888, 1182, 50265, 82, 1182, 50264, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 1182, 50265, 28913, 1182, 50264, 19088, 7509, 176, 3305, 1182, 50265, 1182, 50223, 50189, 32092, 1182, 50264, 36, 1182, 48870, 25177, 100, 32445, 177, 50250, 50191, 4, 6, 11, 664, 50244, 1182, 50265, 1182, 50223, 32903, 1182, 50264, 107, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 6, 1182, 50265, 5204, 1182, 50264, 1157, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 710, 170, 5, 508, 5, 43787, 27, 318, 6156, 1260, 31729, 5, 3085, 5, 6, 12934, 190, 5, 17, 20216, 50223, 528, 4708, 259, 413, 196, 8, 22477, 5, 635, 100, 5, 5423, 4, 95, 10, 28270, 7, 21251, 161, 9488, 5423, 4, 11950, 20944, 161, 50223, 86, 44748, 508, 5, 24090, 5, 50223, 196, 5, 20827, 132, 21737, 7, 713, 6309, 1584, 14370, 357, 3828, 39403, 607, 5423, 508, 5, 13572, 50209, 1508, 2659, 27, 50223, 4120, 14015, 50209, 1508, 2659, 27, 280, 6909, 27, 112, 2334, 77, 864, 568, 1182, 50272, 44, 1182, 50273, 3317, 5, 1508, 2659, 4, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 50223, 23711, 5304, 82, 1680, 5, 107, 332, 1973, 17, 20216, 1182, 50264, 12292, 4, 266, 413, 196, 1182, 50265, 1182, 50189, 497, 4, 1196, 413, 1067, 236, 4, 266, 413, 50191, 7, 6766, 362, 50223, 96, 49380, 67, 40508, 508, 5, 387, 23, 5198, 26276, 6, 4728, 34454, 1182, 50189, 32092, 195, 36, 50223, 4, 4, 4767, 6666, 34345, 50250, 50191, 5, 50223, 259, 5, 2095, 136, 299, 48, 11557, 13985, 29, 510, 2444, 6080, 18600, 1669, 1182, 50244, 84, 4, 1598, 37061, 4729, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
4827676
1
[ 0, 212, 6893, 386, 2158, 12671, 46, 50250, 6, 48, 50223, 100, 16044, 406, 8, 23997, 18197, 7, 706, 18600, 8184, 5, 50223, 32903, 1182, 50264, 119, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 13907, 29, 1182, 50264, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 828, 5, 1508, 2659, 5, 1182, 50265, 1182, 50223, 32903, 1182, 50264, 150, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 17936, 14108, 34345, 24, 3181, 2747, 8, 9982, 5, 186, 5, 1680, 5, 119, 237, 1157, 10, 45, 50223, 929, 11315, 1182, 50264, 107, 233, 50209, 28836, 11317, 34345, 50209, 32829, 4085, 34345, 1182, 50265, 1182, 50189, 7319, 68, 522, 2654, 50191, 5, 1962, 32401, 24, 50223, 994, 1891, 4139, 34345, 10, 23165, 29112, 8938, 8, 8071, 508, 5, 704, 50209, 1508, 4135, 77, 864, 50223, 2278, 5, 10044, 5, 1508, 4135, 5, 3206, 7956, 165, 23, 20913, 22516, 34543, 8, 364, 43870, 16751, 1157, 5, 50223, 196, 5, 10107, 164, 21794, 8732, 38, 41799, 7509, 168, 10, 1253, 237, 7509, 116, 1157, 1182, 50189, 101, 5, 1048, 5, 38600, 1508, 2659, 50191, 5, 50223, 259, 5, 159, 265, 4, 13, 7509, 165, 10, 8, 49096, 832, 60, 28887, 2212, 5551, 34911, 1708, 1955, 4, 29897, 1672, 55, 928, 50223, 15697, 16697, 120, 10957, 7, 19478, 1276, 32726, 6, 683, 29, 7509, 453, 18014, 19478, 28887, 6308, 50223, 379, 90, 148, 23, 2603, 9485, 176, 10957, 45, 1493, 119, 1182, 49607, 14238, 27272, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 50223, 201, 692, 12539, 8414, 7, 19478, 1276, 32726, 1182, 50272, 44, 1182, 50273, 1182, 50223, 32903, 1182, 50264, 207, 1182, 50267, 1182, 50223, 50266, 15424, 490, 73, 41324, 13259, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 8764, 11317, 34345, 36, 7, 45300, 5204, 8, 2332, 60, 11009, 52, 50223, 1297, 10451, 221, 44052, 607, 5423, 508, 5, 119, 50209, 1508, 4135, 17, 3814, 17818, 687, 6, 5931, 8158, 50223, 36292, 515, 21504, 12550, 19300, 1733, 7, 1716, 607, 5423, 8, 4083, 11009, 52, 50223, 1297, 10451, 168, 9820, 607, 5423, 508, 5, 446, 50209, 1508, 4135, 1182, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 50250, 50191, 6, 8, 2332, 12, 38104, 50223, 1054, 14370, 357, 3828, 39403, 607, 5423, 6, 12, 25717, 5085, 20962, 17288, 2002, 1992, 50223, 24101, 86, 4, 39, 3487, 28090, 237, 1157, 6, 31, 102, 36304, 1073, 1182, 50272, 44, 1182, 50273, 3206, 7956, 165, 10, 222, 50223, 1776, 30763, 28, 1884, 1785, 15778, 7509, 168, 3003, 11619, 306, 1212, 36457, 50223, 190, 6556, 20962, 17288, 2002, 1992, 5423, 6, 45, 19880, 1584, 14370, 357, 3828, 39403, 50223, 87, 467, 5423, 393, 12, 3799, 252, 3325, 5535, 16066, 10688, 6, 9696, 980, 2488, 50223, 4741, 798, 6, 2560, 14614, 17172, 5, 46560, 3436, 8328, 3488, 7025, 1674, 8, 316, 19362, 50223, 18030, 34164, 928, 29897, 2875, 7, 14492, 29, 1157, 5, 50223, 196, 5, 3206, 7956, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4827676
2
[ 0, 12, 12305, 7025, 7003, 8, 17914, 50223, 6305, 515, 10033, 553, 24, 35258, 2594, 4, 16353, 370, 1098, 4, 33, 16301, 1098, 50223, 465, 5128, 21370, 8, 1423, 12, 32020, 233, 2158, 3165, 27, 1250, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 2931, 8, 1702, 15778, 7509, 168, 3003, 4, 16, 11, 16, 110, 50223, 4767, 4753, 3608, 30375, 4, 17559, 29897, 11890, 6, 59, 7357, 1901, 12031, 1228, 50223, 128, 14108, 34345, 23, 5198, 4003, 4, 61, 7509, 165, 21517, 11317, 34345, 7, 45300, 5204, 50223, 71, 3336, 767, 932, 7025, 3825, 427, 50209, 591, 72, 7912, 8, 9982, 5, 207, 237, 1157, 5, 15424, 118, 50223, 143, 6305, 1691, 8365, 3387, 8, 4481, 29897, 2875, 31, 9248, 19578, 9, 7509, 2042, 50223, 15198, 68, 221, 23000, 3991, 50209, 1776, 445, 636, 10576, 524, 187, 77, 400, 29897, 2875, 5, 50223, 32903, 1182, 50264, 229, 1182, 50267, 1182, 50223, 50266, 34124, 44003, 19809, 1182, 50265, 1182, 50223, 253, 5, 1368, 31272, 30, 14040, 101, 1657, 14108, 34345, 28, 9979, 34345, 8, 2185, 9661, 1973, 50223, 444, 1680, 5, 130, 237, 1157, 33, 7509, 165, 5650, 431, 9661, 1973, 207, 1680, 5, 107, 4, 196, 4, 259, 4, 328, 4, 266, 4, 444, 4, 497, 4, 528, 4, 612, 6, 50223, 828, 4, 9, 7509, 165, 20913, 22516, 29897, 11890, 16851, 176, 7366, 45, 1493, 3596, 1182, 49607, 14238, 27272, 23, 2406, 50223, 16803, 3910, 1160, 9983, 1157, 5, 50223, 196, 5, 1050, 5012, 636, 28887, 6308, 11972, 37, 10, 12360, 3180, 4924, 29897, 2875, 7, 11793, 4950, 19, 16, 50223, 96, 2320, 29897, 2875, 7, 14492, 29, 1157, 5, 50223, 259, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 864, 18672, 3488, 4, 39, 28957, 4924, 50223, 86, 16851, 176, 7366, 5, 50223, 32903, 1182, 50264, 352, 1182, 50265, 1182, 50223, 280, 1282, 1891, 1182, 50264, 34345, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 10991, 3507, 21737, 9, 4541, 46622, 2193, 34345, 4, 8380, 185, 22376, 7509, 453, 50223, 71, 29897, 2875, 4, 8380, 185, 14600, 252, 22983, 1572, 33, 48710, 636, 29, 1157, 77, 50223, 1638, 135, 29897, 2875, 5, 50223, 196, 5, 34124, 1032, 141, 31827, 95, 3729, 16851, 96, 1247, 16, 110, 27019, 1924, 5, 1504, 9979, 50223, 96, 31916, 14600, 252, 9, 7509, 5645, 46622, 107, 27, 12433, 794, 17655, 116, 12621, 4, 95, 1628, 50223, 7242, 1256, 7671, 12539, 21744, 747, 28887, 6308, 723, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 29, 1157, 12274, 4, 640, 14998, 34, 6579, 610, 8, 8195, 16, 50223, 38050, 4, 93, 50244, 50223, 71, 50191, 10, 7509, 165, 8, 49096, 832, 12, 1708, 636, 7509, 168, 17, 85, 19, 414, 734, 4, 50223, 211, 50191, 7509, 165, 21517, 11317, 34345, 7, 1322, 5204, 4, 19, 10, 9128, 8, 9982, 5, 253, 1680, 5, 196, 1157, 50223, 134, 50191, 7509, 165, 901, 8380, 881, 6401, 8345, 21517, 11317, 34345, 4, 33, 93, 9907, 59, 50223, 17717, 933, 6901, 932, 4, 13, 29897, 11890, 6783, 4576, 33, 13, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4827676
3
[ 0, 11994, 47639, 60, 50223, 249, 125, 3029, 7, 530, 1079, 2429, 37322, 1182, 50264, 4310, 31835, 5, 1182, 50265, 1182, 50223, 16397, 9419, 50244, 50223, 27, 1182, 50264, 8, 2185, 32175, 24861, 4, 37, 10, 1331, 28906, 282, 1182, 50265, 46525, 1182, 50264, 19360, 34454, 998, 23749, 4, 6, 11, 65, 15, 1182, 50265, 9334, 50223, 13779, 3738, 163, 1182, 50264, 3532, 4, 65, 1182, 50265, 303, 1182, 50264, 22568, 2707, 5, 1124, 603, 11608, 5089, 18379, 9, 27887, 1182, 50265, 5931, 2827, 1182, 50264, 29186, 4, 1182, 50265, 1182, 50223, 1152, 35441, 1182, 50264, 3147, 118, 44, 5, 5, 1182, 50265, 1182, 50223, 27, 1182, 50264, 8, 2185, 9529, 9189, 7063, 258, 7511, 5423, 19, 8790, 90, 2347, 3534, 17288, 902, 3089, 24, 258, 7511, 5423, 1450, 1182, 50267, 1182, 50223, 50266, 16749, 3024, 1182, 50265, 5931, 8158, 1182, 50264, 6367, 3918, 1983, 29131, 1733, 1182, 27, 101, 13692, 1182, 50265, 1182, 48870, 25177, 40635, 50250, 40, 50223, 1514, 45599, 2099, 184, 16909, 107, 4, 1196, 1164, 1270, 5423, 4, 18188, 50244, 6061, 668, 31704, 528, 4, 115, 15563, 50244, 704, 196, 1260, 196, 1105, 4064, 50223, 330, 294, 3566, 1182, 50272, 558, 4, 1182, 50273, 6, 5, 56, 5, 5423, 4, 508, 5, 635, 5, 1182, 50272, 1182, 50244, 1182, 50273, 3218, 2342, 6026, 668, 2985, 668, 2985, 5307, 17956, 2341, 609, 253, 50223, 34112, 3288, 1584, 6909, 1182, 27, 10364, 80, 1182, 50272, 3839, 7490, 4, 1182, 50273, 563, 828, 3317, 5423, 4, 11803, 5, 50244, 1182, 50272, 1182, 50195, 9558, 2458, 2458, 5965, 9558, 1182, 50273, 11848, 4, 1182, 50272, 973, 48453, 5, 88, 404, 5, 408, 4815, 5, 334, 1182, 50264, 1182, 50268, 11005, 158, 50209, 50252, 1182, 50269, 8286, 5423, 1182, 50265, 1182, 50275, 1182, 50223, 50274, 1182, 50276, 107, 1182, 50277, 107, 107, 44, 84, 44, 1182, 50273, 1182, 50223, 465, 17949, 4536, 508, 5, 13572, 50209, 1508, 2659, 27, 4120, 14015, 50209, 1508, 2659, 27, 1054, 6909, 27, 112, 2334, 15, 568, 5, 7595, 5, 1508, 2659, 50223, 2263, 48, 26069, 46023, 6, 5367, 11587, 8, 7414, 60, 11640, 362, 1584, 6909, 1182, 50189, 234, 158, 5, 1164, 1004, 119, 24861, 119, 50209, 1508, 4135, 50191, 50223, 1210, 50125, 48, 7, 713, 9982, 5, 564, 1004, 150, 24861, 292, 50209, 1508, 4135, 2933, 25931, 6126, 5, 50223, 29982, 4222, 18692, 34454, 438, 91, 20040, 25, 4, 41, 124, 25670, 426, 19277, 25374, 67, 18303, 221, 50223, 14999, 275, 4, 7358, 1394, 1032, 275, 6, 26585, 3128, 5, 699, 39837, 366, 954, 44190, 16227, 6, 40102, 40405, 25670, 5501, 50223, 31699, 163, 5352, 1088, 91, 21383, 73, 5, 50223, 155, 1924, 2471, 4393, 67, 4289, 275, 4, 7358, 1394, 1032, 275, 6, 26585, 3128, 10, 434, 2182, 188, 998, 6248, 133, 738, 6, 50223, 2853, 8144, 5042, 4, 649, 5, 250, 5, 5042, 38877, 7, 44901, 4, 95, 1123, 35856, 154, 20673, 2027, 45, 12554, 1624, 50223, 147, 15497, 183, 5, 50223, 155, 979, 1178, 3091, 34454, 10, 2933, 23303, 38707, 7, 23877, 876, 32244, 31907, 6819, 6, 17415, 3109, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4828046
0
[ 0, 107, 1182, 50264, 3206, 7956, 96, 5885, 1182, 48870, 25877, 508, 5, 390, 155, 50209, 1508, 2659, 50209, 7595, 50209, 41553, 1970, 1182, 50267, 1182, 50223, 50266, 1182, 50189, 7, 9784, 15086, 3731, 5352, 50191, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 8, 2332, 12, 1182, 23077, 24504, 43453, 28913, 19088, 6, 638, 508, 5, 1164, 444, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 50223, 50264, 146, 1182, 50267, 1182, 50223, 50266, 225, 1402, 654, 13164, 4852, 50244, 1182, 50265, 1182, 50264, 390, 3801, 1182, 27, 8, 42727, 1182, 50244, 405, 1791, 96, 34040, 4, 258, 26318, 320, 15664, 894, 4, 12627, 777, 1182, 50265, 1182, 50223, 367, 13322, 319, 50244, 39289, 5, 37078, 25017, 134, 1489, 4, 11900, 817, 50223, 272, 24069, 50244, 974, 8692, 43748, 50223, 182, 15563, 50244, 292, 196, 29149, 11143, 7376, 50223, 71, 50223, 50264, 3206, 7956, 391, 50244, 1182, 50265, 1182, 50264, 11680, 5, 18466, 3523, 30045, 1768, 2336, 1768, 254, 153, 27, 386, 1768, 451, 30885, 1182, 50265, 1182, 48870, 25877, 485, 8540, 903, 23077, 16545, 112, 113, 1307, 8791, 4383, 50223, 50264, 23, 11139, 163, 2318, 50244, 1182, 50267, 1182, 50223, 50266, 1046, 158, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 6, 5204, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 19, 16105, 2856, 14738, 874, 13785, 4642, 29897, 7509, 2042, 637, 50223, 52, 510, 3731, 5352, 749, 1459, 9, 8, 7999, 28319, 31, 2186, 73, 1253, 352, 828, 7, 826, 35090, 1253, 564, 11170, 4, 50223, 53, 109, 29203, 52, 4925, 12627, 777, 7, 2240, 258, 26318, 320, 15664, 894, 4, 7, 21243, 1182, 27, 8534, 1182, 50264, 19616, 234, 692, 1182, 50265, 8, 5961, 50223, 929, 21042, 3269, 105, 196, 5, 695, 22659, 450, 10, 28270, 8, 34848, 8472, 28898, 29203, 910, 1992, 8, 6500, 32483, 50223, 53, 109, 1638, 34197, 7, 44748, 508, 5, 580, 10668, 5, 50223, 196, 5, 1584, 21854, 68, 34345, 10, 17936, 15086, 3731, 5352, 19616, 1473, 7, 5860, 5, 50223, 50264, 1046, 158, 5, 2038, 5, 1182, 50265, 1182, 50223, 50264, 4280, 71, 34345, 1182, 50265, 1182, 50223, 39919, 9, 11708, 815, 7, 236, 734, 8, 8141, 14611, 5, 19934, 1325, 1182, 50264, 1182, 50244, 580, 1325, 5, 1182, 50267, 1182, 50223, 50266, 1046, 158, 5, 7085, 5, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 7509, 168, 4, 16795, 450, 6, 1112, 41562, 1182, 50265, 1182, 50223, 253, 5, 1054, 22492, 23, 17936, 5352, 24131, 1612, 8, 1046, 158, 5, 186, 5, 237, 1157, 124, 28935, 22376, 22983, 50223, 16177, 45, 1493, 1182, 50264, 446, 4, 668, 27, 49607, 14238, 27272, 50209, 1643, 5, 1182, 50265, 44, 459, 1330, 406, 8423, 5480, 7920, 48, 27414, 406, 82, 301, 3014, 694, 1325, 5, 12256, 50223, 582, 294, 2035, 34543, 6, 2183, 3938, 12, 48126, 6, 5367, 22537, 15086, 3731, 5352, 5, 50223, 196, 5, 1514, 7956, 73, 10, 12583, 1168, 50264, 6219, 7, 3717, 1182, 50265, 29897, 2875, 4, 110, 15169, 9006, 7, 713, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4828046
1
[ 0, 237, 1157, 5, 150, 5, 159, 265, 4, 13, 7509, 165, 899, 2253, 1665, 34543, 33, 4424, 15, 13721, 31451, 4370, 866, 29897, 11890, 50223, 190, 5446, 2188, 9704, 4, 10, 2933, 22516, 29897, 11890, 24334, 15, 45708, 45, 1493, 43761, 12624, 5, 50223, 190, 30656, 333, 508, 5, 16077, 50209, 35156, 239, 5, 100, 5, 8, 4083, 6284, 3333, 5, 50223, 196, 1182, 50264, 1046, 158, 5, 10903, 5, 1182, 50265, 1182, 50223, 50264, 1584, 22492, 1301, 13153, 12, 14523, 1852, 1182, 50265, 1182, 50223, 1054, 22492, 1301, 13153, 12, 14523, 1852, 1182, 50189, 465, 90, 4906, 4, 16137, 4, 12, 10248, 84, 7929, 5, 10545, 50191, 10, 8072, 5185, 50223, 190, 20592, 189, 16399, 8, 9982, 5, 7085, 6, 10, 12583, 1168, 82, 9982, 5, 7085, 1004, 5, 119, 5, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 1046, 158, 5, 159, 5, 1182, 50267, 1182, 50223, 50266, 12212, 6384, 1098, 15086, 4889, 2964, 1182, 50265, 1182, 50223, 33201, 7306, 400, 13426, 7, 8564, 4, 13, 29897, 1672, 17998, 133, 2031, 7509, 2042, 15086, 2081, 4675, 8, 50223, 2421, 179, 8688, 68, 7, 5204, 18512, 5, 37064, 73, 7011, 7509, 165, 37, 10, 10260, 8365, 5, 50223, 50264, 1046, 158, 5, 15776, 5, 1182, 50267, 1182, 50223, 50266, 24766, 177, 6, 3488, 22983, 1572, 1182, 50267, 1182, 50223, 50266, 107, 5, 1514, 7956, 165, 10, 2933, 50244, 1182, 50265, 1182, 50223, 27, 5013, 24066, 34543, 6, 25272, 23, 791, 13153, 12, 14523, 1852, 50223, 27, 8764, 11317, 34345, 8, 2332, 12, 5198, 8360, 1901, 8, 9982, 5, 186, 5, 237, 1157, 50223, 27, 110, 23252, 26169, 12900, 5289, 8609, 4, 39, 5845, 29897, 1672, 4, 660, 50223, 96, 7956, 165, 8495, 23, 4950, 9926, 10873, 3991, 237, 3488, 50223, 27, 14009, 4675, 28, 6067, 18512, 8, 2372, 4, 8, 7056, 43, 15779, 12, 46823, 7, 50223, 854, 14376, 1118, 15595, 282, 50223, 27, 8, 265, 35936, 33, 1903, 8609, 8, 12253, 22402, 27230, 17559, 29897, 11890, 50223, 6101, 2136, 18, 41241, 530, 10463, 50223, 27, 7509, 165, 8495, 8, 10123, 3331, 23, 41899, 12909, 191, 1838, 12253, 42441, 2964, 50223, 1646, 16, 23, 1838, 3592, 6, 4393, 1648, 8, 12253, 26122, 5352, 303, 2193, 34345, 50223, 27, 7509, 165, 8495, 23, 9926, 4950, 6, 10, 2933, 35075, 306, 2183, 7, 11512, 50223, 190, 265, 14735, 12253, 26122, 5352, 6, 18254, 14051, 2856, 50223, 50264, 119, 5, 37442, 654, 13164, 1672, 10, 2933, 50244, 1182, 50265, 1182, 50223, 521, 46602, 3178, 15086, 2081, 4675, 7509, 2042, 8, 2372, 8688, 68, 7, 14030, 287, 17936, 4, 8, 316, 50223, 2421, 179, 54, 7, 232, 2183, 15575, 6, 31851, 3862, 9426, 1301, 4, 349, 10895, 10, 50223, 56, 48126, 15086, 4889, 2964, 3938, 44, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 1046, 158, 5, 159, 10311, 5, 1182, 50267, 1182, 50223, 50266, 130, 1282, 1891, 34345, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 4541, 46622, 5551, 9210, 2193, 34345, 84, 67, 102, 46622, 7, 713, 50223, 15198, 68, 116, 3291, 22983, 1572, 6, 31325, 1214, 2318, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4828595
0
[ 0, 50264, 41590, 508, 5, 9452, 50209, 1508, 2659, 1182, 50267, 1182, 50223, 50266, 267, 14523, 87, 15086, 3731, 5352, 4, 43683, 8, 2185, 1182, 23077, 24504, 259, 638, 1164, 444, 50209, 29608, 10833, 5, 17, 14523, 87, 1182, 50267, 1182, 50223, 50266, 6, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 4291, 6, 12697, 1182, 50267, 1182, 50223, 50266, 6, 11179, 5, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 28913, 19088, 1182, 50267, 1182, 50223, 50266, 225, 1402, 654, 13164, 1672, 50244, 29013, 3176, 12, 6818, 936, 20320, 1182, 50265, 1182, 50223, 3691, 34513, 305, 4162, 50223, 15594, 46837, 842, 50223, 367, 13322, 319, 50244, 1182, 50264, 1184, 477, 6824, 5, 21684, 10108, 31715, 1182, 50265, 1182, 50223, 979, 17282, 53, 817, 50223, 2698, 1034, 5668, 1182, 50244, 33978, 5084, 53, 558, 4, 6, 5, 56, 5, 842, 50223, 709, 6717, 7250, 50244, 14561, 3100, 4487, 1229, 196, 50209, 14018, 668, 50223, 27418, 2477, 3218, 4708, 6026, 668, 2985, 668, 2985, 5466, 950, 4487, 974, 196, 50223, 272, 24069, 50244, 1270, 7760, 266, 3410, 253, 50223, 182, 15563, 50244, 292, 196, 2247, 12835, 41706, 50223, 50189, 32092, 36, 1182, 48870, 25177, 29897, 1672, 1182, 48870, 19594, 50191, 50223, 50264, 3206, 7956, 165, 50244, 24707, 5848, 536, 12, 5, 199, 5, 143, 1182, 50265, 1182, 50223, 11430, 361, 1078, 305, 658, 50223, 7722, 253, 13150, 842, 50223, 272, 24069, 50244, 207, 2341, 528, 5965, 4348, 4, 23967, 24069, 50244, 292, 3100, 3100, 528, 1250, 266, 50223, 367, 13322, 319, 50244, 1182, 50264, 9808, 10365, 18379, 1182, 50265, 1182, 50223, 112, 2164, 49540, 3584, 2069, 24, 5114, 1157, 50244, 1182, 50264, 11680, 5, 30902, 10365, 256, 12638, 1182, 50265, 1182, 50223, 1865, 361, 468, 5694, 706, 3305, 17, 14523, 87, 15086, 3731, 5352, 50244, 50223, 50264, 186, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 6, 5204, 34345, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 19, 16105, 29897, 7509, 2042, 23, 3137, 5630, 2318, 15086, 2464, 50223, 13779, 5102, 43338, 9, 8, 27230, 3406, 3337, 817, 307, 117, 6980, 28138, 2151, 34513, 305, 5, 50223, 196, 5, 1584, 21854, 68, 237, 1157, 10, 43094, 7509, 2042, 15086, 2464, 1183, 1182, 50264, 3337, 817, 1182, 48870, 25877, 25211, 5, 1182, 50265, 1182, 50223, 1514, 7956, 165, 48, 9128, 1183, 4730, 7, 35668, 22776, 660, 7912, 24, 385, 3337, 50223, 2622, 246, 5, 50223, 1514, 7956, 165, 9, 20913, 8764, 12253, 11255, 1183, 7912, 8, 3331, 6, 7, 5204, 4, 9128, 6, 45300, 50223, 190, 11984, 119, 5, 237, 1157, 4, 8, 2332, 12, 25455, 18596, 4, 39, 9, 10410, 407, 7, 11317, 34345, 50223, 1514, 7956, 165, 9, 20913, 11619, 3643, 169, 4765, 22285, 1051, 2700, 8, 2185, 233, 291, 201, 113, 23058, 361, 5, 50223, 50264, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 253, 5, 4280, 71, 34345, 15086, 4889, 2964, 10, 41324, 24499, 7, 1785, 13907, 29, 107, 5, 259, 5, 1508, 2659, 18, 50223, 1105, 5, 444, 5, 1508, 2659, 44, 50223, 280, 781, 81, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, -100, -100 ]
4828595
1
[ 0, 580, 5, 668, 1502, 5, 18, 568, 5, 668, 1502, 5, 50223, 50264, 239, 237, 2193, 10, 121, 701, 12702, 1732, 50244, 1182, 50265, 207, 5, 259, 5, 1508, 2659, 27, 236, 5, 259, 5, 1508, 2659, 4, 1280, 5, 259, 5, 27, 1270, 5, 259, 5, 1508, 2659, 4, 107, 5, 27, 50223, 196, 5, 328, 5, 1508, 2659, 4, 84, 107, 5, 266, 5, 1508, 2659, 4, 430, 5, 266, 5, 1508, 2659, 50223, 50264, 15, 1924, 4990, 16040, 4, 734, 6848, 16227, 4, 13587, 16148, 6, 5567, 820, 1182, 50267, 1182, 50223, 50266, 8450, 817, 5, 1182, 50265, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 7085, 5, 1182, 50267, 1182, 50223, 50266, 1584, 22492, 23, 7509, 6, 791, 1182, 50267, 1182, 50223, 50266, 1584, 22492, 23, 7509, 6, 791, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 12253, 12702, 4675, 1182, 50189, 207, 49607, 14238, 27272, 50209, 1643, 5, 50209, 96, 7956, 73, 23, 25211, 4, 50191, 6, 7433, 23, 791, 3938, 50223, 56, 14523, 1852, 1182, 50189, 35516, 47930, 10545, 4, 3893, 4, 2512, 4, 28737, 2463, 4, 31566, 5, 5, 5, 352, 49607, 14238, 27272, 50191, 10, 15768, 50223, 470, 10528, 22983, 1572, 45, 1493, 1182, 50264, 236, 1182, 49607, 14238, 27272, 50209, 1643, 1182, 50265, 44, 1182, 50264, 17296, 429, 5, 281, 1182, 50265, 84, 3451, 1651, 5, 50223, 196, 5, 130, 5012, 450, 36207, 27323, 23, 9594, 1636, 4, 7509, 165, 18084, 1665, 34543, 377, 30, 387, 5, 201, 2758, 50223, 86, 30317, 3608, 4855, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 7, 3544, 2846, 4, 15, 1924, 32359, 2846, 15611, 50223, 379, 6149, 11591, 509, 5, 50223, 50264, 207, 5, 18, 387, 27, 7691, 1182, 50267, 1182, 50223, 50266, 856, 158, 5, 4855, 1792, 294, 18, 387, 27, 7691, 856, 158, 5, 1182, 50267, 1182, 50223, 50266, 4855, 1792, 294, 1182, 50265, 1182, 50223, 24351, 43177, 344, 28378, 1166, 50223, 11595, 132, 884, 596, 6794, 1101, 49607, 14238, 27272, 50223, 9518, 1113, 884, 113, 6101, 158, 1426, 49607, 14238, 27272, 50223, 2262, 5387, 884, 7604, 250, 1426, 49607, 14238, 27272, 50223, 250, 2077, 1166, 485, 11565, 1426, 49607, 14238, 27272, 50223, 50264, 7, 1253, 7250, 50244, 186, 38810, 3218, 4708, 6026, 668, 2985, 668, 2985, 5466, 950, 4487, 974, 196, 33978, 3566, 558, 4, 12280, 21794, 1182, 50267, 1182, 50223, 50266, 8732, 1182, 50265, 1270, 528, 36098, 1182, 50264, 44, 1182, 50265, 1182, 50223, 196, 5, 33201, 7306, 400, 9, 6387, 4, 13, 93, 9, 7509, 165, 31355, 20501, 12, 1708, 1955, 4, 10, 2933, 22516, 50223, 147, 1402, 654, 13164, 11890, 25149, 12, 45708, 45, 1493, 14061, 90, 2699, 1282, 2043, 11590, 4, 22464, 15427, 185, 50223, 2698, 308, 641, 4, 32973, 30, 31922, 19225, 45708, 12, 3085, 3991, 11455, 10309, 10201, 8, 2185, 1182, 23077, 24504, 150, 50223, 86, 16044, 449, 673, 869, 926, 508, 5, 16706, 50209, 35156, 239, 5, 15, 551, 744, 9, 15967, 1245, 9661, 50223, 1556, 14556, 874, 19088, 5, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 10903, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4828595
2
[ 0, 5630, 8, 7581, 7341, 1182, 23077, 24504, 539, 1680, 5, 119, 5183, 5, 6, 50191, 4, 657, 50191, 4, 543, 50191, 4, 613, 50191, 4, 690, 50191, 638, 508, 5, 31580, 50209, 29608, 50223, 155, 211, 5, 17, 14523, 87, 15086, 3731, 5352, 8, 4083, 6284, 3333, 4, 93, 50244, 50223, 71, 50191, 7509, 165, 21517, 15086, 2464, 1183, 8, 7414, 60, 21737, 4, 50223, 211, 50191, 7509, 165, 17, 85, 19, 260, 1636, 557, 20501, 12, 1708, 636, 7509, 168, 33, 23, 791, 4, 349, 50223, 379, 25253, 366, 10, 3938, 12, 14523, 1852, 4, 50223, 134, 50191, 7509, 165, 33, 1371, 4, 39, 12, 783, 35314, 15086, 2464, 1183, 901, 8380, 881, 6401, 8345, 50223, 24768, 707, 9429, 407, 2549, 33, 5111, 4, 50223, 201, 50191, 99, 31343, 17, 42700, 4574, 33, 17, 18853, 4574, 4, 35, 12542, 8764, 15086, 2464, 1183, 4, 50223, 179, 50191, 7509, 165, 567, 15086, 2464, 1183, 33, 59, 637, 18, 108, 96, 31916, 5, 50223, 50264, 159, 10311, 5, 1182, 50267, 1182, 50223, 50266, 2347, 8947, 466, 9661, 1182, 50265, 1182, 50223, 253, 5, 212, 2909, 5551, 6754, 2318, 141, 10618, 36, 22700, 185, 22376, 3150, 31087, 50223, 48627, 361, 90, 4, 14039, 3631, 48913, 1940, 71, 16851, 462, 14643, 4, 33, 1711, 11, 4605, 77, 4291, 6, 12697, 50223, 6305, 515, 3333, 5, 50223, 2263, 960, 5885, 18944, 306, 1154, 6, 3488, 22983, 1572, 4, 6472, 9, 28444, 400, 50223, 88, 43071, 449, 63, 4872, 45878, 20933, 8722, 3333, 5, 50223, 196, 5, 34124, 7306, 400, 14229, 407, 4, 13, 14, 3305, 17, 14523, 87, 46503, 4, 18577, 14476, 102, 3831, 4, 1492, 50223, 96, 1751, 1823, 169, 102, 2722, 6, 3831, 4, 14229, 407, 4, 13, 149, 899, 2782, 3172, 614, 8, 25744, 151, 65, 23, 9870, 43615, 50223, 4595, 25678, 6, 7, 7961, 7663, 149, 45, 12458, 4481, 5114, 407, 5, 50223, 259, 5, 41590, 10, 8868, 406, 8, 119, 2557, 2186, 553, 4, 15, 349, 394, 55, 15372, 24988, 29877, 5, 529, 102, 14039, 832, 50223, 53, 320, 1251, 77, 22983, 1572, 2022, 522, 38085, 6, 522, 38085, 17753, 25747, 1555, 842, 50223, 27, 8190, 8286, 5, 50223, 328, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 7, 37928, 16981, 817, 82, 9661, 1182, 23077, 24504, 5708, 71, 1680, 5, 107, 50223, 1297, 9315, 508, 5, 5184, 444, 50209, 10673, 239, 5, 15, 551, 744, 9, 8754, 989, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 744, 9, 8045, 6, 25165, 1245, 4457, 8, 10671, 12, 7581, 636, 1182, 23077, 24504, 229, 71, 50223, 1297, 9315, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 17, 2909, 6, 9689, 1085, 50223, 1297, 1282, 137, 5, 50223, 3343, 3196, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4829371
0
[ 0, 21702, 1182, 50264, 107, 1182, 50265, 15, 1182, 50264, 207, 1182, 50265, 1182, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 6, 7860, 1292, 3877, 12095, 3369, 1182, 50265, 1182, 50223, 50276, 82, 1182, 23077, 24504, 6653, 259, 6, 1182, 50277, 1182, 50276, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 28913, 19088, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 50277, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 1182, 50276, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 1182, 50277, 1182, 50265, 1182, 50191, 71, 1182, 50276, 82, 1182, 23077, 24504, 1226, 612, 1680, 5, 119, 638, 508, 5, 229, 2247, 50209, 34836, 10833, 5, 42634, 19088, 8, 1182, 50277, 1182, 50276, 4083, 1182, 50279, 1182, 50223, 50278, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 10584, 80, 41348, 1182, 50265, 1182, 48870, 19594, 50191, 1182, 50277, 1182, 50189, 32092, 36, 19, 50264, 1182, 48870, 25177, 39919, 48870, 19594, 1182, 50265, 1182, 50191, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 24819, 83, 50244, 1182, 50267, 1182, 50223, 50266, 3283, 1372, 12214, 2287, 5748, 1862, 3744, 50244, 1182, 50265, 1182, 50223, 21103, 50244, 1182, 50264, 15650, 3112, 5474, 39283, 14202, 1182, 50265, 1182, 50223, 8757, 44975, 50244, 3112, 5474, 39283, 14202, 857, 497, 50223, 7044, 328, 704, 3112, 5474, 39283, 14202, 50223, 272, 24069, 50244, 2985, 2466, 196, 7674, 259, 50223, 12959, 128, 5, 5668, 50244, 11009, 96, 4498, 153, 3566, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 7760, 563, 7048, 2985, 668, 2985, 668, 292, 6513, 2627, 6513, 50223, 32, 42727, 50244, 18339, 34446, 2822, 3051, 4, 9861, 50223, 50264, 307, 27, 4094, 50244, 1586, 11351, 2253, 10277, 1512, 50249, 151, 11351, 2253, 10277, 1512, 5, 334, 1182, 50265, 1182, 50223, 50189, 32092, 36, 19, 1182, 48870, 25177, 1182, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 6, 1182, 50267, 1182, 50223, 50266, 16648, 631, 3813, 13449, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 50244, 1182, 50264, 11046, 4776, 5865, 35080, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 944, 7780, 50244, 43115, 1410, 1715, 107, 50223, 43612, 1280, 2612, 53, 38, 29783, 50223, 272, 24069, 50244, 1270, 1961, 612, 704, 497, 50223, 15563, 4035, 50244, 3218, 31955, 4228, 41793, 50223, 182, 15563, 50244, 5476, 4228, 41793, 50223, 12959, 128, 5, 5668, 50244, 14338, 3566, 6, 5, 56, 551, 842, 4, 50223, 27418, 2477, 50244, 3218, 7062, 24090, 2985, 668, 2985, 4120, 26392, 3914, 2621, 50223, 367, 15198, 1013, 50244, 159, 10584, 161, 16590, 29112, 1972, 842, 7085, 4, 50223, 702, 3768, 50244, 130, 270, 4, 34179, 508, 5, 50244, 1961, 1635, 50209, 281, 50223, 2256, 86, 1672, 50244, 11680, 5, 1881, 11738, 88, 3381, 50223, 32, 42727, 5176, 5, 8983, 5243, 19331, 4, 6618, 7, 713, 7357, 449, 50223, 50189, 32092, 36, 19, 1182, 48870, 25177, 1182, 50264, 3206, 7956, 165, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50189, 37442, 654, 13164, 1672, 6, 3206, 7956, 165, 544, 2794, 16, 36, 19, 1182, 48870, 25177, 1182, 50264, 34124, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829371
1
[ 0, 400, 1182, 50265, 1182, 48870, 19594, 33, 39076, 1182, 48870, 25177, 1182, 50264, 34124, 44003, 1247, 1182, 50265, 1182, 48870, 19594, 50223, 190, 34448, 2767, 294, 6437, 7837, 5, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 30934, 315, 3692, 36828, 45225, 23109, 1182, 50265, 1182, 50223, 253, 5, 253, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 33, 9836, 4, 95, 55, 21517, 360, 928, 30, 5304, 17, 20216, 50223, 528, 2267, 444, 413, 196, 4, 32041, 38975, 7, 44748, 508, 5, 430, 828, 4, 749, 3563, 9, 7, 826, 35090, 508, 5, 107, 50209, 253, 4, 3197, 5304, 1050, 2421, 1013, 9552, 50223, 71, 30438, 343, 4, 826, 24655, 6565, 233, 4, 1200, 2188, 21251, 221, 15233, 35423, 208, 30616, 4, 20944, 135, 2389, 4, 50223, 24004, 3112, 5474, 39283, 14202, 4, 20944, 52, 4925, 3112, 5474, 39283, 14202, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 4458, 6666, 3206, 31916, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 4458, 6666, 50223, 33201, 465, 9, 749, 7, 11257, 50244, 1182, 50264, 3112, 5474, 39283, 14202, 857, 497, 1182, 50189, 4767, 15650, 221, 15233, 50191, 4, 6981, 328, 704, 3112, 5474, 1182, 50267, 1182, 50223, 50266, 39283, 14202, 1182, 50265, 84, 45, 20216, 107, 413, 196, 5, 695, 702, 11396, 13546, 1073, 237, 25312, 10, 3922, 11606, 508, 5, 107, 4, 95, 18363, 1467, 50223, 49776, 22825, 26276, 1292, 3877, 12095, 3369, 6, 7258, 8329, 1292, 3877, 12095, 3369, 5, 50223, 253, 5, 196, 1050, 2318, 5551, 6754, 8, 237, 34124, 348, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 3206, 7956, 2042, 4458, 6666, 25312, 18, 50223, 17717, 1800, 23, 5198, 5630, 8, 11984, 107, 5, 259, 237, 25312, 4, 12, 961, 3206, 7956, 165, 14368, 6, 3206, 7956, 165, 9, 50223, 19189, 1143, 1354, 5013, 225, 1402, 654, 13164, 11890, 34543, 8, 12981, 6, 23, 2318, 5630, 8, 9982, 5, 10903, 3206, 7956, 73, 237, 50223, 33201, 465, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 3206, 7956, 73, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 253, 5, 259, 3206, 7956, 165, 10, 10260, 4458, 6666, 25312, 8764, 4, 6, 11, 23, 5198, 26276, 4, 5367, 10308, 4, 23232, 6, 50223, 6101, 2381, 116, 456, 22066, 1292, 3877, 12095, 3369, 7807, 2685, 30, 5833, 6411, 681, 47497, 15027, 12031, 6, 5027, 2199, 50223, 1178, 193, 1197, 1301, 4, 39, 3206, 7956, 165, 19, 4997, 2464, 4427, 1068, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 40692, 12095, 3369, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 253, 5, 328, 1190, 32718, 9334, 46928, 23, 40692, 12095, 3369, 9, 2630, 2968, 4, 39, 4503, 7, 50223, 190, 20595, 6, 6385, 1384, 681, 47497, 5, 40692, 12095, 3369, 10, 12719, 47240, 8118, 185, 9327, 31625, 6, 10, 11065, 22678, 1848, 50223, 489, 4462, 63, 5, 50223, 253, 5, 266, 34124, 7306, 400, 9, 6387, 4, 13, 40692, 12095, 3369, 438, 91, 14673, 7, 8581, 161, 5304, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4829371
2
[ 0, 6, 50209, 2800, 8, 265, 50223, 52, 12802, 10399, 1292, 3877, 12095, 3369, 1182, 50189, 22288, 5, 93, 225, 1402, 654, 13164, 1672, 66, 25109, 221, 25773, 7600, 2506, 1889, 7, 50223, 4016, 4989, 12095, 3369, 6, 50209, 2800, 14, 17572, 19858, 6654, 1292, 3877, 12095, 3369, 50191, 5, 50223, 196, 5, 253, 5, 328, 47434, 180, 18, 38067, 1292, 3877, 12095, 3369, 4, 93, 1292, 3877, 12095, 3369, 10, 11065, 22678, 1848, 17191, 63, 4, 50223, 50189, 22288, 5, 225, 1402, 654, 13164, 1672, 37, 10, 10260, 482, 60, 14222, 27404, 16144, 4687, 4179, 731, 50191, 4, 50223, 196, 5, 253, 5, 266, 14009, 3206, 7956, 2042, 4458, 6666, 3206, 31916, 8688, 346, 7, 24066, 17936, 5617, 8, 45300, 50223, 16021, 3679, 8, 237, 34124, 348, 5, 267, 10413, 832, 4458, 87, 194, 34345, 17001, 3377, 34124, 7306, 400, 26445, 679, 50223, 42424, 1462, 82, 20509, 13709, 8, 3922, 36096, 508, 5, 119, 30, 237, 34124, 348, 5, 50223, 196, 5, 253, 5, 444, 12900, 11850, 3206, 7956, 2042, 2352, 30808, 4458, 87, 194, 3206, 31916, 18, 150, 2957, 734, 29, 13138, 50223, 2348, 1643, 3101, 17, 28599, 43298, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 316, 265, 10, 3206, 7956, 165, 50223, 143, 6305, 2867, 29, 25312, 12274, 5, 50223, 196, 5, 196, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 303, 1377, 2193, 15778, 237, 25312, 48, 30, 1292, 3877, 12095, 3369, 50223, 290, 9866, 319, 1228, 24, 20106, 6, 15, 2955, 5239, 2098, 1333, 27212, 5, 159, 265, 18672, 50223, 1297, 10451, 90, 225, 1402, 654, 13164, 2875, 82, 17905, 11711, 332, 3792, 25312, 33, 93, 9, 223, 6639, 50223, 37442, 654, 13164, 2875, 37236, 19, 39616, 4, 3206, 7956, 165, 10, 10260, 29, 25312, 12274, 5, 50223, 196, 5, 259, 225, 1402, 654, 13164, 1672, 23087, 6, 760, 709, 4, 13, 10, 27023, 1485, 19964, 33, 9836, 4, 95, 55, 21517, 360, 928, 50223, 128, 25670, 8104, 42946, 4, 262, 39, 10, 35663, 1228, 3206, 7956, 453, 30, 4458, 87, 194, 25312, 5, 159, 265, 50223, 9208, 10116, 8452, 225, 1402, 654, 13164, 2875, 82, 17905, 11711, 332, 3792, 25312, 33, 93, 9, 223, 50223, 465, 18087, 225, 1402, 654, 13164, 2875, 37236, 19, 39616, 4, 3206, 7956, 165, 10, 10260, 29, 25312, 12274, 5, 50223, 196, 5, 328, 225, 1402, 654, 13164, 1672, 5764, 7, 8564, 4, 13, 7959, 16406, 1292, 3877, 12095, 3369, 12698, 7912, 3206, 7956, 165, 5, 3206, 7956, 165, 10, 50223, 143, 6305, 2867, 2931, 303, 15778, 1157, 7959, 16406, 1292, 3877, 12095, 3369, 2290, 33, 10284, 40692, 50223, 1607, 183, 3369, 23, 1322, 5, 50223, 196, 5, 266, 225, 1402, 654, 13164, 1672, 23087, 4, 13, 373, 19225, 28095, 237, 25312, 50244, 50223, 196, 5, 266, 5, 253, 21222, 1042, 9843, 73, 1154, 4, 517, 1154, 33, 13818, 17556, 1648, 7365, 9, 4458, 87, 194, 50223, 96, 31916, 4, 50223, 196, 5, 266, 5, 196, 169, 225, 1402, 654, 13164, 11890, 18599, 4458, 87, 194, 34345, 11334, 30, 6123, 8345, 22520, 31436, 50223, 424, 597, 3729, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829371
3
[ 0, 15, 349, 3606, 34124, 44003, 50223, 1638, 86, 456, 23286, 522, 38085, 5, 50223, 444, 5, 259, 1368, 39, 3729, 24703, 237, 25312, 10, 33, 9, 1875, 18993, 221, 33, 487, 9315, 10203, 4, 50223, 52, 137, 18914, 172, 11, 989, 450, 4, 15372, 3193, 1459, 19362, 237, 25312, 4, 12, 7156, 93, 21, 24549, 50223, 2800, 517, 10214, 2487, 1747, 9, 7, 46614, 24703, 15274, 700, 4, 13, 9259, 24703, 37, 10, 50223, 16172, 73, 40150, 29, 3193, 1459, 19362, 5, 1368, 48, 39, 3729, 24703, 1182, 50189, 2800, 59, 637, 50191, 50223, 52, 26424, 4, 223, 24703, 48, 3020, 12, 26026, 19405, 4, 39, 1112, 164, 59, 15372, 12, 21496, 4, 50223, 11915, 9, 48, 815, 4209, 2632, 6403, 881, 7581, 996, 5, 34124, 7306, 400, 9, 23, 10451, 407, 8365, 306, 50223, 6642, 81, 4, 39, 31, 6099, 7, 9825, 332, 26099, 5, 50223, 444, 5, 328, 268, 19883, 34124, 1032, 10, 434, 5455, 33, 40758, 7912, 188, 8, 20769, 2176, 4, 6, 11, 45, 2722, 8380, 163, 50223, 143, 709, 7319, 1612, 11175, 269, 46632, 610, 6, 14039, 1612, 17258, 34124, 190, 462, 14643, 4, 12233, 6620, 50223, 147, 15497, 23481, 43, 41000, 515, 5195, 33, 23000, 5515, 8939, 4, 93, 15, 562, 23225, 163, 50223, 190, 45778, 52, 45878, 8722, 3333, 33, 15, 237, 25312, 487, 40333, 30521, 660, 5, 50223, 444, 5, 266, 12256, 41590, 6, 9380, 2487, 1861, 10991, 9, 6472, 26245, 35550, 869, 926, 5, 24766, 2212, 50223, 17893, 21162, 42015, 287, 3507, 34124, 1338, 9, 4295, 407, 33884, 41090, 28913, 6, 50223, 14541, 168, 19088, 5, 34124, 7306, 400, 9, 6387, 4, 13, 2680, 9818, 9661, 50223, 4724, 597, 3729, 10675, 11044, 869, 926, 4, 39, 37, 10, 562, 23225, 73, 4, 10, 30521, 24333, 50223, 190, 3331, 4, 8, 648, 21, 59, 2680, 1520, 5455, 2494, 33, 5204, 533, 3729, 9661, 237, 50223, 33201, 465, 5, 50223, 444, 5, 444, 34124, 7306, 400, 9, 23, 10451, 407, 4, 13, 306, 17571, 23402, 15, 237, 25312, 240, 19291, 52, 2384, 50223, 190, 43064, 185, 12114, 103, 1338, 22376, 5, 550, 1629, 32978, 15630, 15, 237, 25312, 31, 14890, 3805, 50223, 4468, 436, 5, 50223, 444, 5, 497, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 34124, 1032, 67, 102, 14039, 1214, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 50223, 34827, 98, 4, 13, 1724, 237, 1157, 8495, 43, 25371, 6, 36660, 25693, 4, 149, 14043, 5, 50223, 444, 5, 528, 695, 702, 11396, 13546, 1073, 237, 25312, 31, 15041, 28090, 50244, 50223, 444, 5, 528, 5, 253, 28250, 1186, 2018, 4458, 87, 194, 34345, 6, 14728, 10627, 1292, 3877, 12095, 3369, 50223, 444, 5, 528, 5, 196, 1190, 7787, 679, 24319, 50223, 32, 2612, 189, 38, 29783, 4, 864, 13894, 13894, 5, 922, 13894, 5, 1508, 2659, 50223, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 50244, 50223, 50264, 3206, 7956, 165, 1182, 50265, 1182, 50244, 50223, 46, 117, 34446, 2822, 3051, 50223, 37002, 50223, 50264, 15650, 3112, 5474, 39283, 14202, 1182, 50265, 5176, 5, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, -100, -100, -100, -100 ]
4829581
0
[ 0, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 508, 5, 429, 2621, 259, 50209, 2659, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 8, 2185, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 28913, 19088, 8, 4083, 6284, 3333, 6, 23077, 24504, 704, 6, 856, 158, 5, 638, 508, 5, 50223, 2247, 253, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 50223, 33201, 7306, 400, 50244, 50223, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 50244, 10584, 73, 1236, 50244, 1182, 50264, 8286, 8078, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 36680, 3659, 894, 4, 539, 2341, 3317, 8078, 50223, 367, 13322, 287, 50244, 5176, 5, 5126, 596, 701, 53, 4, 7014, 607, 50223, 272, 24069, 50244, 2985, 23185, 3624, 612, 50223, 182, 15563, 50244, 292, 196, 2247, 7473, 328, 1105, 50223, 15563, 24, 4035, 50244, 3491, 10, 6529, 4852, 4035, 50223, 12959, 1034, 5668, 50244, 27954, 4, 6, 5, 56, 551, 38235, 8078, 50223, 1025, 28978, 7250, 27, 27418, 2477, 50244, 3218, 11297, 563, 7048, 2985, 668, 2985, 668, 27417, 14561, 1260, 50223, 182, 4383, 50209, 112, 719, 13507, 335, 50244, 130, 8657, 2349, 192, 281, 1155, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 50264, 6, 1182, 50265, 1182, 50223, 50264, 3206, 7956, 165, 50244, 1182, 50265, 10146, 100, 49421, 4, 1236, 50244, 19843, 122, 199, 498, 2174, 4489, 4, 5176, 19318, 9728, 50244, 48052, 50223, 7895, 455, 50244, 48052, 50223, 12462, 13106, 50244, 48052, 50223, 378, 27, 4094, 50244, 48052, 50223, 50189, 544, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 50264, 186, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 1157, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 19, 16201, 38393, 536, 305, 32711, 19268, 4, 17998, 133, 2031, 7509, 2042, 7, 25401, 4418, 50223, 379, 1521, 3081, 269, 8869, 248, 488, 508, 5, 1182, 50264, 459, 497, 50209, 2267, 196, 4, 3837, 4111, 488, 1182, 27, 38426, 1182, 50267, 1182, 50223, 50266, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 6, 34418, 34345, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 311, 2201, 248, 488, 9, 29897, 7, 1785, 25066, 2224, 5, 50223, 50264, 119, 5, 1182, 50265, 3206, 7956, 4541, 50244, 50223, 50264, 6, 50191, 1182, 50265, 22376, 22983, 1572, 50223, 50264, 657, 50191, 1182, 50265, 14600, 252, 77, 400, 29897, 2875, 93, 50223, 336, 50209, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 7, 4074, 1785, 4, 50223, 14899, 50209, 15762, 4091, 9, 27055, 4, 50223, 211, 134, 50209, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 50264, 150, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 119, 5, 5183, 5, 847, 50209, 6, 34211, 50209, 4, 10, 50223, 1776, 30763, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 57, 9, 55, 50223, 205, 2201, 248, 488, 3599, 5, 1368, 120, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829581
1
[ 0, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 50223, 86, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 50264, 207, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5, 9041, 87, 5, 657, 134, 50209, 4, 10, 2933, 50223, 929, 41303, 7509, 116, 1157, 24353, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 50223, 12853, 34543, 35204, 5, 1368, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 50223, 86, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 50264, 229, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5, 5183, 5, 657, 134, 50209, 6, 7509, 165, 50223, 278, 3125, 4, 17655, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 50223, 465, 100, 348, 7509, 453, 4, 41, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 5, 1368, 54, 50223, 190, 237, 9124, 1494, 4827, 151, 4, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 5, 50223, 50264, 352, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5183, 5, 657, 134, 50209, 6, 7509, 165, 37, 50223, 278, 3125, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 416, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 28, 18814, 28, 706, 50223, 11581, 194, 16300, 28388, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 50223, 22802, 7509, 165, 15395, 5, 529, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 5, 50223, 50264, 7085, 5, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 6, 16795, 450, 7509, 168, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 3206, 7956, 73, 7, 1732, 29, 1182, 50264, 704, 5, 7044, 5, 1508, 2659, 18, 292, 5, 7044, 5, 1508, 4708, 1182, 50265, 45, 1493, 1182, 50264, 857, 4, 27, 1182, 49607, 14238, 27272, 1182, 50265, 99, 35204, 864, 1182, 50264, 1226, 5, 10044, 5, 1508, 2659, 1182, 50265, 1182, 50223, 50264, 119, 5, 1182, 50265, 529, 23486, 2584, 4, 23, 39, 99, 34543, 35204, 8, 2185, 12837, 5484, 864, 4, 7509, 165, 50223, 299, 20913, 36183, 201, 4380, 34543, 23, 574, 2584, 45, 1493, 82, 3643, 32175, 4872, 9735, 168, 50223, 86, 16044, 449, 25235, 8078, 5, 50223, 50264, 150, 5, 1182, 50265, 3206, 7956, 73, 10, 434, 22516, 1705, 4701, 24317, 7, 3717, 29897, 2875, 9128, 8, 681, 956, 897, 237, 1157, 50223, 50189, 177, 979, 21794, 8732, 1182, 50276, 207, 2341, 10668, 1182, 50277, 1182, 50245, 18, 1182, 50276, 17040, 1182, 50277, 339, 49444, 389, 1182, 50276, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829581
2
[ 0, 1533, 8135, 29, 17556, 1648, 7433, 4, 39, 202, 3554, 15, 7047, 400, 30, 7320, 996, 1157, 33, 10585, 4938, 1482, 50223, 1297, 10451, 90, 33, 43, 46318, 61, 9378, 23, 5138, 2292, 2318, 19, 257, 4, 39, 21, 139, 660, 50223, 424, 10633, 572, 50245, 50223, 201, 50191, 20096, 3149, 6208, 5526, 13262, 33, 635, 5012, 3088, 1314, 50223, 50264, 15776, 5, 1182, 50267, 1182, 50223, 50266, 2347, 8947, 466, 9661, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 41590, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 484, 24, 29897, 2875, 4, 260, 24, 7509, 453, 5, 50223, 50264, 119, 1182, 50265, 44, 43001, 3729, 1458, 6, 8480, 30, 237, 8195, 363, 91, 8868, 287, 36, 11850, 6, 28, 16043, 7404, 50223, 100, 47701, 163, 1572, 5, 50223, 50264, 150, 1182, 50265, 44, 12256, 5885, 26545, 15372, 7671, 28095, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 50223, 86, 30317, 3398, 28, 1090, 17860, 5, 50223, 50264, 207, 1182, 50265, 44, 41511, 1251, 77, 34124, 190, 163, 1572, 9, 1294, 30521, 20913, 4, 13, 1123, 21734, 27799, 1154, 6, 3488, 1182, 50189, 1297, 10645, 2605, 50191, 50223, 465, 2164, 12325, 129, 15, 237, 25312, 4, 1396, 5, 102, 530, 7, 1322, 12161, 110, 12837, 31087, 7663, 747, 50223, 33201, 6308, 400, 5, 159, 265, 18672, 237, 3488, 2208, 77, 34124, 190, 163, 1572, 48, 5885, 17, 24, 15242, 50223, 50189, 379, 13322, 423, 50191, 22983, 16958, 18993, 96, 6, 683, 3557, 34124, 44003, 1247, 48, 25391, 29, 237, 50223, 33201, 465, 12274, 6, 11, 12, 30242, 36558, 373, 19225, 4, 57, 99, 27966, 7544, 17, 36053, 29, 237, 50223, 33201, 465, 38867, 747, 34124, 6308, 723, 5, 50223, 50264, 229, 1182, 50265, 44, 34124, 7306, 400, 35985, 407, 4, 13, 14, 3305, 46503, 4, 12, 102, 5467, 46702, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 859, 19990, 4, 864, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2520, 19990, 4, 864, 50244, 48052, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 40290, 5, 5126, 596, 701, 53, 5176, 5, 4489, 19843, 18465, 2174, 50223, 1600, 22483, 7509, 165, 50223, 28764, 154, 1182, 50244, 9386, 271, 250, 153, 50223, 19627, 101, 1182, 50244, 16718, 528, 1961, 612, 6246, 612, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4829591
0
[ 0, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 508, 5, 429, 2342, 444, 50209, 2659, 1182, 50265, 1182, 50223, 1865, 1075, 170, 498, 8, 2185, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 28913, 19088, 8, 4083, 6284, 3333, 6, 23077, 24504, 704, 6, 856, 158, 5, 638, 508, 5, 50223, 2247, 253, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 50223, 33201, 7306, 400, 50244, 50223, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 50244, 10584, 73, 1236, 50244, 1182, 50264, 8286, 8078, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 36680, 3659, 894, 4, 539, 2341, 3317, 8078, 50223, 367, 13322, 287, 50244, 5176, 5, 5126, 596, 701, 53, 4, 7014, 607, 50223, 272, 24069, 50244, 2985, 23185, 3624, 612, 50223, 182, 15563, 50244, 292, 196, 2247, 7473, 328, 1105, 50223, 15563, 24, 4035, 50244, 3491, 10, 6529, 4852, 4035, 50223, 12959, 1034, 5668, 50244, 27954, 4, 6, 5, 56, 551, 38235, 8078, 50223, 1025, 28978, 7250, 27, 27418, 2477, 50244, 3218, 11297, 563, 7048, 2985, 668, 2985, 668, 27417, 14561, 1260, 50223, 182, 4383, 50209, 112, 719, 13507, 335, 50244, 130, 8657, 2349, 192, 281, 1155, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 50264, 6, 1182, 50265, 1182, 50223, 50264, 3206, 7956, 165, 50244, 1182, 50265, 10146, 100, 49421, 4, 1236, 50244, 1511, 134, 3562, 6766, 19318, 9728, 50244, 48052, 50223, 7895, 455, 50244, 48052, 50223, 12462, 13106, 50244, 48052, 50223, 378, 27, 4094, 50244, 48052, 50223, 50189, 544, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 50264, 186, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 1157, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 19, 16201, 38393, 536, 305, 32711, 19268, 4, 17998, 133, 2031, 7509, 2042, 7, 25401, 4418, 50223, 379, 1521, 3081, 269, 8869, 248, 488, 508, 1182, 50264, 113, 444, 50209, 2247, 253, 4, 935, 205, 2201, 1182, 50267, 1182, 50223, 50266, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 6, 34418, 34345, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 311, 2201, 248, 488, 9, 29897, 7, 1785, 25066, 2224, 5, 50223, 50264, 119, 5, 1182, 50265, 3206, 7956, 4541, 50244, 50223, 50264, 6, 50191, 1182, 50265, 22376, 22983, 1572, 50223, 50264, 657, 50191, 1182, 50265, 14600, 252, 77, 400, 29897, 2875, 93, 50223, 336, 50209, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 7, 4074, 1785, 4, 50223, 14899, 50209, 15762, 4091, 9, 27055, 4, 50223, 211, 134, 50209, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 50264, 150, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 119, 5, 5183, 5, 847, 50209, 6, 34211, 50209, 4, 10, 50223, 1776, 30763, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 57, 9, 55, 50223, 205, 2201, 248, 488, 3599, 5, 1368, 120, 37, 10, 5812, 9272, 7509, 453, 33, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4829591
1
[ 0, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 50223, 86, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 50264, 207, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5, 9041, 87, 5, 657, 134, 50209, 4, 10, 2933, 50223, 929, 41303, 7509, 116, 1157, 24353, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 50223, 12853, 34543, 35204, 5, 1368, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 50223, 86, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 50264, 229, 5, 1182, 50265, 1368, 29897, 1672, 38393, 536, 305, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5, 5183, 5, 657, 134, 50209, 6, 7509, 165, 50223, 278, 3125, 4, 17655, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 50223, 465, 100, 348, 7509, 453, 4, 41, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 5, 1368, 54, 50223, 190, 237, 9124, 1494, 4827, 151, 4, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 5, 50223, 50264, 352, 5, 1182, 50265, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 119, 5183, 5, 657, 134, 50209, 6, 7509, 165, 37, 50223, 278, 3125, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 416, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 38393, 536, 305, 28, 18814, 28, 706, 50223, 11581, 194, 16300, 28388, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 50223, 22802, 7509, 165, 15395, 5, 529, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 5, 50223, 50264, 7085, 5, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 6, 16795, 450, 7509, 168, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 3206, 7956, 73, 7, 1732, 29, 1182, 50264, 387, 5, 7062, 5, 1508, 2659, 18, 580, 5, 7062, 5, 1508, 4708, 1182, 50265, 45, 1493, 1182, 50264, 1642, 4, 27, 1182, 49607, 14238, 27272, 1182, 50265, 99, 35204, 864, 1182, 50264, 1270, 5, 7595, 5, 1508, 2659, 1182, 50265, 1182, 50223, 50264, 119, 5, 1182, 50265, 529, 23486, 2584, 4, 23, 39, 99, 34543, 35204, 8, 2185, 12837, 5484, 864, 4, 7509, 165, 50223, 299, 20913, 36183, 201, 4380, 34543, 23, 574, 2584, 45, 1493, 82, 3643, 32175, 4872, 9735, 168, 50223, 86, 16044, 449, 25235, 8078, 5, 50223, 50264, 150, 5, 1182, 50265, 3206, 7956, 73, 10, 434, 22516, 1705, 4701, 24317, 7, 3717, 29897, 2875, 9128, 8, 681, 956, 897, 237, 1157, 50223, 50189, 177, 979, 21794, 8732, 1182, 50276, 207, 2341, 10668, 1182, 50277, 1182, 50245, 18, 1182, 50276, 17040, 1182, 50277, 339, 49444, 389, 1182, 50276, 1253, 8869, 639, 1134, 1182, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4829591
2
[ 0, 1533, 8135, 29, 17556, 1648, 7433, 4, 39, 202, 3554, 15, 7047, 400, 30, 7320, 996, 1157, 33, 10585, 4938, 1482, 50223, 1297, 10451, 90, 33, 43, 46318, 61, 9378, 23, 5138, 2292, 2318, 19, 257, 4, 39, 21, 139, 660, 50223, 424, 10633, 572, 50245, 50223, 201, 50191, 20096, 3149, 6208, 5526, 13262, 33, 635, 5012, 3088, 1314, 50223, 50264, 15776, 5, 1182, 50267, 1182, 50223, 50266, 2347, 8947, 466, 9661, 1182, 50267, 1182, 50223, 50266, 107, 5, 1182, 50265, 41590, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 484, 24, 29897, 2875, 4, 260, 24, 7509, 453, 5, 50223, 50264, 119, 1182, 50265, 44, 43001, 3729, 1458, 6, 8480, 30, 237, 8195, 363, 91, 8868, 287, 36, 11850, 6, 28, 16043, 7404, 50223, 100, 47701, 163, 1572, 5, 50223, 50264, 150, 1182, 50265, 44, 12256, 5885, 26545, 15372, 7671, 28095, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 50223, 86, 30317, 3398, 28, 1090, 17860, 5, 50223, 50264, 207, 1182, 50265, 44, 41511, 1251, 77, 34124, 190, 163, 1572, 9, 1294, 30521, 20913, 4, 13, 1123, 21734, 27799, 1154, 6, 3488, 1182, 50189, 1297, 10645, 2605, 50191, 50223, 465, 2164, 12325, 129, 15, 237, 25312, 4, 1396, 5, 102, 530, 7, 1322, 12161, 110, 12837, 31087, 7663, 747, 50223, 33201, 6308, 400, 5, 159, 265, 18672, 237, 3488, 2208, 77, 34124, 190, 163, 1572, 48, 5885, 17, 24, 15242, 50223, 50189, 379, 13322, 423, 50191, 22983, 16958, 18993, 96, 6, 683, 3557, 34124, 44003, 1247, 48, 25391, 29, 237, 50223, 33201, 465, 12274, 6, 11, 12, 30242, 36558, 373, 19225, 4, 57, 99, 27966, 7544, 17, 36053, 29, 237, 50223, 33201, 465, 38867, 747, 34124, 6308, 723, 5, 50223, 50264, 229, 1182, 50265, 44, 34124, 7306, 400, 35985, 407, 4, 13, 14, 3305, 46503, 4, 12, 102, 5467, 46702, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 859, 19990, 4, 864, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2520, 19990, 4, 864, 50244, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 40290, 5, 5126, 596, 701, 53, 6766, 1511, 134, 3562, 50223, 1600, 22483, 7509, 165, 50223, 28764, 154, 1182, 50244, 4039, 2174, 50223, 19627, 101, 1182, 50244, 16718, 528, 1961, 612, 6246, 612, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4829626
0
[ 0, 107, 1182, 50264, 508, 5, 1048, 5, 6653, 266, 50209, 1508, 2659, 50209, 3813, 1182, 50267, 1182, 50223, 50266, 1182, 50268, 16648, 631, 3813, 12570, 36828, 45225, 2334, 459, 16519, 5891, 2513, 1372, 2080, 159, 36828, 21105, 4408, 351, 2080, 38118, 2158, 10340, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 36828, 45225, 23109, 267, 16648, 631, 7495, 30934, 12214, 11160, 4590, 239, 2344, 34324, 1372, 2169, 2564, 12492, 1598, 41782, 272, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 1046, 158, 5, 107, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 2177, 50244, 3758, 2365, 6776, 1182, 50265, 1182, 50223, 7895, 5464, 499, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 50264, 9808, 2365, 6776, 1182, 50265, 1182, 50223, 7895, 5464, 499, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 50264, 6516, 3430, 520, 1182, 50265, 1182, 50223, 7895, 5464, 499, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 50264, 6464, 3430, 520, 1182, 50265, 1182, 50223, 7895, 5464, 499, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 50264, 264, 2762, 873, 3754, 1990, 5984, 1182, 50265, 1182, 50223, 7895, 5464, 499, 50244, 50223, 4571, 8226, 9728, 50244, 50223, 50189, 32092, 36, 1182, 50276, 1182, 48870, 25177, 1514, 7956, 2177, 48870, 19594, 1182, 50277, 1182, 50191, 50223, 50264, 225, 1402, 654, 13164, 1672, 50244, 8286, 6212, 1182, 50265, 1182, 50223, 944, 7780, 50244, 36193, 44295, 1551, 5, 1101, 4, 539, 1659, 16827, 6212, 50223, 190, 42727, 50244, 4661, 23516, 6415, 4, 7014, 607, 6212, 50223, 2698, 1034, 5668, 50244, 3585, 30547, 692, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 2267, 6981, 668, 2985, 668, 2985, 1659, 5463, 2621, 539, 8956, 259, 50223, 272, 24069, 50244, 2985, 414, 528, 414, 497, 50223, 15563, 4035, 50244, 3218, 31430, 828, 4463, 14761, 50223, 50189, 32092, 36, 1182, 50276, 1182, 48870, 25177, 37442, 654, 13164, 1672, 48870, 19594, 1182, 50277, 1182, 50191, 50223, 50264, 1046, 158, 5, 119, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 1182, 50265, 1182, 50223, 1514, 7956, 96, 5885, 9, 11708, 7, 1785, 13907, 3323, 864, 43870, 16751, 1157, 18, 1270, 5, 1260, 5, 1508, 2659, 5, 50223, 50264, 1046, 158, 5, 150, 1182, 50267, 1182, 50223, 50266, 1584, 21854, 34345, 1182, 50265, 1182, 50223, 42279, 68, 34345, 10, 15013, 1289, 168, 1651, 508, 5, 7490, 444, 7, 1289, 34702, 50244, 9062, 4, 41462, 4, 1830, 35852, 50223, 100, 2763, 8274, 5, 50223, 50264, 1046, 158, 5, 207, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 2177, 31, 24551, 5013, 34543, 45, 1493, 430, 4, 2137, 1182, 49607, 14238, 27272, 50209, 16021, 5, 50223, 196, 5, 1050, 17936, 14108, 34345, 8, 1334, 29, 568, 5, 10582, 5, 1508, 2659, 18, 864, 12837, 19225, 43870, 50223, 293, 4554, 481, 237, 1157, 31, 7509, 2177, 24551, 22516, 41314, 73, 12237, 282, 45, 1493, 50223, 100, 702, 22378, 3563, 7509, 881, 44734, 1595, 8, 48, 107, 5, 332, 1973, 5, 50223, 196, 150, 5, 3206, 7956, 2177, 31, 25688, 23, 19478, 7509, 168, 2794, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4829626
1
[ 0, 6, 2926, 3768, 52, 5, 50223, 328, 5, 1050, 671, 1636, 34345, 10, 34543, 12583, 1168, 5617, 38, 38540, 7509, 116, 1157, 5, 50223, 266, 5, 3206, 7956, 73, 23, 11916, 1732, 10, 12583, 1168, 7920, 3734, 4, 6, 11, 5617, 8, 3191, 364, 50223, 6101, 18669, 168, 4855, 5, 50223, 444, 5, 695, 290, 5012, 636, 7509, 168, 8, 9124, 43761, 8, 9982, 5, 207, 1004, 229, 5, 237, 1157, 4, 960, 7509, 96, 5885, 50223, 4827, 165, 15372, 4, 17, 1822, 139, 7509, 2177, 11569, 11465, 6, 22925, 11, 24354, 237, 1157, 5, 50223, 50264, 1046, 158, 5, 229, 1182, 50267, 1182, 50223, 50266, 267, 22732, 41324, 13259, 1182, 50265, 1182, 50223, 253, 5, 12256, 7509, 96, 5885, 9, 6472, 12305, 7581, 2288, 8, 9757, 10212, 47544, 17, 14523, 87, 50223, 21727, 168, 1651, 7, 25866, 1641, 5, 24766, 2212, 3054, 42015, 287, 8, 237, 8195, 65, 8, 9757, 5986, 8195, 50223, 143, 14523, 87, 1289, 168, 1651, 7, 25866, 1641, 9, 11450, 42297, 25455, 18596, 333, 5, 50223, 32, 6500, 864, 50244, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 6500, 864, 50244, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 1182, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 50223, 11524, 23516, 6415, 3758, 2365, 6776, 50223, 1600, 22483, 607, 6212, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 50223, 20174, 2365, 6776, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 50223, 13275, 3430, 520, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 50223, 19514, 3430, 520, 50223, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 50223, 378, 2762, 873, 3754, 1990, 5984, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4829715
0
[ 0, 3206, 7956, 96, 5885, 7, 8869, 248, 488, 1182, 48870, 25877, 3837, 4111, 488, 107, 50209, 444, 1182, 50264, 1182, 50268, 3206, 7956, 96, 5885, 508, 5, 581, 196, 50209, 1508, 2659, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 7, 8869, 248, 488, 1182, 50269, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 8, 2185, 1182, 23077, 24504, 6653, 259, 6, 145, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 6284, 50223, 4767, 34382, 6, 1182, 23077, 24504, 704, 6, 145, 158, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 50223, 50264, 9982, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 36828, 386, 35179, 11160, 44075, 8805, 1182, 50267, 1182, 50223, 50266, 107, 5, 225, 1402, 654, 13164, 1672, 50244, 8286, 37174, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 45726, 5, 25199, 5, 48063, 129, 429, 4, 539, 4064, 387, 37174, 50223, 367, 13322, 319, 50244, 11680, 5, 2515, 29682, 965, 4, 7014, 607, 50223, 12959, 1034, 5668, 50244, 3585, 30547, 692, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 15230, 6981, 668, 2985, 668, 2985, 14015, 800, 1105, 352, 4463, 196, 50223, 281, 4383, 50244, 326, 27418, 2349, 192, 281, 1155, 50223, 272, 24069, 50244, 2985, 414, 444, 2267, 266, 50223, 50276, 1182, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 1182, 50277, 1182, 50223, 50264, 119, 5, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50264, 11680, 5, 23788, 212, 10523, 2920, 126, 1182, 50265, 1182, 50223, 79, 2563, 319, 50209, 256, 50244, 50223, 10317, 73, 1253, 1182, 50244, 50223, 12523, 23273, 21, 455, 1182, 50244, 159, 5, 729, 2201, 3858, 229, 3192, 50209, 444, 4, 539, 4064, 3317, 37174, 50223, 335, 823, 5, 50223, 179, 27, 4094, 50244, 50223, 50276, 1182, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 1182, 50279, 1182, 50223, 50278, 1182, 50189, 854, 1080, 177, 359, 11875, 1157, 8, 6244, 17933, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 1182, 50277, 1182, 50223, 50264, 9982, 5, 2038, 5, 1182, 50267, 1182, 50223, 50266, 26872, 3982, 11160, 3936, 1783, 474, 48918, 2169, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 6565, 233, 43787, 826, 11307, 1253, 387, 10043, 50209, 253, 4, 50223, 43250, 780, 6080, 6, 30438, 164, 17, 20216, 2466, 2659, 328, 413, 196, 4, 826, 11307, 6565, 233, 43787, 1253, 387, 10043, 50209, 528, 4, 50223, 43250, 1013, 9552, 6, 30438, 343, 17, 20216, 44074, 413, 196, 6, 826, 11307, 6565, 233, 43787, 1253, 387, 10043, 50209, 444, 4, 8224, 96, 50223, 4763, 809, 17, 20216, 429, 413, 196, 29854, 20944, 767, 2389, 68, 19168, 1992, 37174, 4, 24, 1719, 50223, 71, 20944, 52, 4925, 37174, 4, 7, 12239, 11987, 508, 5, 107, 1182, 50189, 32092, 16, 19, 1182, 48870, 25177, 52, 22659, 481, 48870, 19594, 50191, 5, 50223, 196, 5, 550, 237, 6967, 9, 749, 29678, 607, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829715
1
[ 0, 37174, 47, 10, 38393, 536, 362, 82, 638, 50223, 2247, 253, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 5, 225, 1402, 654, 13164, 1672, 10, 16201, 50223, 379, 7584, 536, 305, 5, 50223, 50264, 9982, 5, 7085, 5, 1182, 50267, 1182, 50223, 50266, 30934, 315, 3692, 113, 1584, 1025, 2892, 16648, 631, 19995, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 7509, 116, 8195, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 50244, 3837, 16541, 18919, 90, 8, 562, 9685, 211, 2974, 88, 4, 50223, 709, 6717, 3837, 4484, 25656, 50244, 1182, 50264, 247, 50209, 1508, 1182, 50265, 1182, 50189, 32092, 16, 19, 1182, 48870, 25177, 994, 6913, 18919, 53, 48870, 19594, 50191, 5, 50223, 1514, 7956, 96, 5885, 7, 8869, 248, 488, 1182, 48870, 25877, 3837, 4111, 488, 119, 50209, 444, 1182, 50264, 9982, 5, 10903, 5, 1182, 50267, 1182, 50223, 50266, 9673, 42171, 12036, 2718, 15293, 1372, 3370, 130, 16648, 631, 315, 3813, 311, 2613, 281, 2158, 40107, 13657, 1745, 1783, 1182, 50265, 1182, 50223, 253, 5, 130, 9784, 3837, 4484, 25656, 31, 3938, 791, 4, 39, 303, 15778, 7509, 168, 3003, 50223, 147, 1402, 654, 13164, 1672, 2514, 7509, 2042, 50244, 50223, 253, 5, 253, 26079, 6819, 15, 38393, 536, 305, 640, 15345, 6819, 4, 50223, 253, 5, 196, 31160, 10625, 6, 13088, 7, 38393, 536, 463, 4, 7, 648, 9, 3837, 6913, 18919, 53, 749, 50223, 50189, 25250, 3837, 4484, 25656, 50191, 4, 50223, 253, 5, 259, 25272, 27464, 6, 20916, 34623, 820, 4601, 13153, 12, 33212, 38393, 536, 305, 4, 50223, 253, 5, 328, 34891, 38393, 536, 305, 4, 7, 648, 9, 749, 3837, 6913, 18919, 53, 14728, 33901, 50223, 190, 9982, 5, 7085, 5, 237, 1157, 4, 8, 2332, 60, 3931, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 50223, 50264, 9982, 5, 159, 5, 1182, 50267, 1182, 50223, 50266, 6889, 3570, 16648, 631, 19995, 1182, 50265, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 25066, 2224, 8, 2332, 60, 3931, 508, 5, 40062, 50209, 10673, 50223, 155, 5, 15, 5, 17, 15762, 22599, 8, 39695, 4083, 5, 50223, 196, 5, 695, 702, 11396, 13546, 998, 27280, 237, 1157, 10, 8680, 17, 635, 25089, 7509, 168, 5, 50223, 259, 5, 34400, 933, 3837, 4484, 25656, 3628, 864, 50244, 580, 5, 259, 5, 1508, 2659, 50223, 50264, 9982, 5, 15776, 5, 1182, 50267, 1182, 50223, 50266, 16648, 631, 3813, 11160, 1182, 50265, 1182, 50223, 253, 5, 3023, 1363, 7509, 168, 40027, 1182, 50264, 1847, 4, 668, 2845, 1182, 50265, 1182, 50189, 1182, 50264, 12906, 50244, 1093, 1152, 457, 1182, 50265, 1182, 50191, 7, 1785, 414, 167, 6, 10, 5336, 50223, 31659, 11179, 5, 1182, 23077, 24504, 446, 11009, 52, 9735, 168, 9820, 607, 37174, 508, 5, 229, 50209, 31955, 35800, 1350, 50223, 1656, 49624, 15762, 12472, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829715
2
[ 0, 18919, 53, 14040, 3149, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 50244, 50223, 196, 5, 253, 11619, 9661, 5367, 2002, 1179, 4, 50223, 196, 5, 196, 8764, 3837, 16541, 18919, 90, 8, 2332, 12, 42297, 25455, 18596, 17, 15762, 22599, 50223, 71, 5367, 4701, 35550, 38393, 536, 305, 19, 16, 3507, 21737, 4, 50223, 196, 5, 259, 7, 2101, 2183, 31851, 5111, 4, 14024, 6, 3185, 17, 3837, 16541, 18919, 90, 50223, 71, 3334, 4, 41, 3837, 6913, 18919, 53, 38771, 270, 7230, 3160, 5754, 38393, 536, 305, 4, 50223, 196, 5, 328, 10704, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 740, 7, 3242, 50223, 179, 48895, 360, 8869, 422, 1220, 4, 8, 265, 9332, 1371, 427, 2352, 6154, 6, 15138, 50223, 2272, 583, 597, 5366, 4, 8, 265, 23620, 1371, 427, 2352, 10169, 6154, 6, 13438, 4, 50223, 196, 5, 266, 13242, 6334, 9, 37058, 9334, 11474, 20766, 3837, 4484, 25656, 6, 102, 5500, 5, 50223, 1054, 5631, 14859, 116, 9538, 3837, 4484, 25656, 1182, 50189, 190, 506, 9468, 36182, 14359, 50191, 141, 91, 38574, 50223, 19033, 12, 32098, 20069, 19865, 20978, 4521, 4, 50223, 196, 5, 444, 15575, 5111, 7, 38393, 536, 463, 4, 50223, 196, 5, 497, 301, 56, 6110, 180, 26182, 36, 7, 750, 7, 11, 4744, 43887, 5, 50223, 259, 5, 1368, 29897, 1672, 13952, 11580, 8, 3089, 17, 3837, 16541, 18919, 90, 4, 42921, 7509, 453, 4, 41, 43, 50223, 190, 12978, 116, 1261, 20421, 1092, 5, 1368, 7509, 165, 482, 11580, 1494, 4827, 151, 8, 11850, 22464, 50223, 11581, 51, 4, 29897, 1672, 25, 141, 1146, 788, 7, 2183, 7509, 453, 5, 50223, 328, 5, 3206, 7956, 165, 5764, 7, 8564, 4, 13, 37823, 3273, 5367, 2002, 1179, 38393, 536, 305, 9, 141, 50223, 470, 22395, 14478, 90, 82, 11179, 5, 1182, 23077, 24504, 1961, 638, 40062, 50209, 10673, 239, 5, 15, 17, 15762, 22599, 8, 39695, 4083, 5, 50223, 266, 5, 41511, 1251, 3835, 5367, 2002, 1179, 48, 10704, 882, 7509, 2042, 8869, 639, 1134, 50223, 88, 31699, 3991, 12693, 17, 2909, 5367, 2002, 1179, 38393, 536, 305, 7, 47057, 41098, 50223, 30989, 60, 5277, 3991, 1373, 5367, 2002, 1179, 38393, 536, 305, 5, 239, 10236, 5367, 2002, 50223, 1656, 40747, 38393, 536, 305, 23328, 11828, 15089, 14151, 1194, 21226, 3423, 8, 552, 700, 5, 50223, 444, 5, 1962, 96, 7956, 3837, 14672, 1134, 10, 40425, 5, 50223, 50264, 9982, 5, 159, 20024, 5, 1182, 50267, 1182, 50223, 50266, 33148, 276, 33910, 10857, 16648, 631, 3813, 31742, 36828, 45225, 23109, 113, 459, 27862, 1025, 21494, 16648, 631, 3813, 11160, 4590, 27577, 5004, 44360, 280, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 1182, 50244, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 3837, 4484, 25656, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 3837, 4484, 25656, 5, 50223, 196, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4829715
3
[ 0, 6296, 434, 4, 9, 35, 815, 25202, 24716, 50223, 71, 26099, 237, 25312, 4, 1711, 38, 11708, 172, 237, 25312, 28444, 400, 706, 2075, 20644, 50223, 470, 5703, 5, 50223, 444, 5, 12256, 5885, 10, 7854, 882, 8, 1020, 1182, 50189, 259, 50191, 8868, 7341, 4, 15, 349, 7509, 165, 456, 23286, 522, 50223, 50189, 253, 50191, 38085, 6, 29897, 1672, 456, 23286, 119, 8868, 449, 5, 50223, 1514, 7956, 96, 5885, 7, 8869, 248, 488, 1182, 48870, 25877, 3837, 4111, 488, 352, 50209, 444, 429, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 14, 46503, 4, 46702, 12, 102, 5467, 4, 18577, 14476, 120, 4, 50223, 465, 7841, 407, 4, 13, 1418, 26484, 4, 12691, 4, 9504, 6, 13938, 2431, 4000, 43, 14200, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 552, 700, 4, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 50276, 1050, 3206, 7956, 453, 50244, 1182, 50277, 1182, 50276, 1050, 225, 1402, 654, 13164, 2875, 1182, 50244, 1182, 50277, 1182, 50223, 50264, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1182, 50265, 1182, 50223, 631, 49759, 5, 5176, 5, 1150, 19532, 1558, 605, 2174, 50223, 1330, 293, 165, 2355, 22438, 164, 1173, 50223, 294, 278, 1823, 6, 1733, 607, 37174, 50223, 86, 713, 225, 13678, 449, 77, 864, 50223, 7062, 5, 7062, 5, 1508, 3410, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4830406
0
[ 0, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50265, 1182, 50269, 1182, 50223, 50264, 508, 5, 14934, 2341, 328, 2137, 828, 27, 253, 27, 1508, 2659, 27, 474, 16162, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 8, 2332, 12, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 50223, 190, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 41590, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 36828, 386, 35179, 11160, 44075, 8805, 1182, 50265, 1182, 50223, 50264, 107, 5, 253, 5, 225, 1402, 654, 13164, 1672, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 50244, 1182, 50264, 28715, 1286, 869, 926, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 15392, 48650, 342, 430, 4, 430, 2247, 6060, 842, 50223, 18851, 86, 6268, 50244, 4426, 25701, 2069, 50223, 33504, 50244, 10584, 80, 30745, 29112, 1972, 842, 7085, 4, 50223, 521, 3768, 50244, 529, 4, 159, 40560, 1253, 50244, 150, 1260, 50209, 281, 50223, 48573, 194, 4386, 135, 6779, 50244, 21325, 5, 10002, 1337, 173, 4, 6571, 2070, 50223, 521, 2479, 147, 80, 13050, 50244, 28715, 1286, 869, 926, 1182, 48870, 25877, 32483, 2856, 32657, 842, 4, 50223, 5421, 125, 1690, 352, 4, 430, 1164, 11833, 842, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 13222, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 17233, 71, 23000, 3584, 50223, 86, 5114, 25312, 50244, 21325, 5, 22248, 2983, 122, 8844, 4, 2070, 13222, 50223, 272, 24069, 50244, 1270, 2627, 328, 655, 253, 50223, 182, 15563, 50244, 5476, 328, 2606, 1260, 253, 50223, 15563, 4035, 1182, 50244, 3218, 31955, 328, 2606, 1260, 253, 50223, 25973, 30, 4035, 50244, 29897, 1672, 10, 6529, 1672, 4035, 50223, 8757, 44975, 50223, 1210, 7728, 14482, 8380, 4063, 50244, 32657, 1182, 48870, 25877, 13222, 4, 2445, 15066, 96, 2641, 2856, 2629, 4, 1182, 50264, 1182, 50276, 1182, 50272, 1182, 50277, 1182, 50265, 1182, 50273, 1182, 50223, 43378, 256, 44295, 1101, 4, 563, 2137, 3317, 2629, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 107, 5, 196, 5, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50223, 21103, 50244, 1182, 50264, 15650, 1150, 546, 134, 1243, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 15650, 80, 1555, 1150, 546, 134, 1243, 4, 10584, 96, 429, 4, 563, 6088, 3317, 1150, 546, 134, 1243, 50223, 18851, 86, 6268, 50244, 1719, 367, 13322, 319, 50244, 5176, 5, 5894, 4039, 2626, 4, 9861, 1114, 50223, 272, 24069, 50244, 2985, 259, 4708, 5965, 497, 50223, 182, 15563, 50244, 292, 196, 1260, 13157, 2137, 266, 50223, 25973, 30, 4035, 50244, 7509, 165, 37, 10, 6529, 1672, 4035, 443, 19672, 1747, 1222, 30, 4035, 50244, 7509, 165, 37, 10, 39548, 13546, 9836, 82, 1182, 23077, 24504, 150, 638, 17, 4035, 50223, 12959, 1034, 5668, 50244, 1046, 28978, 7250, 50223, 401, 17083, 186, 38810, 50244, 50223, 112, 719, 13507, 335, 50209, 281, 4383, 50244, 50223, 50189, 32092, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4830406
1
[ 0, 36, 1182, 48870, 25177, 1182, 50264, 3206, 7956, 165, 1182, 50265, 1182, 48870, 19594, 50191, 4, 50223, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 50264, 34124, 7306, 400, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 196, 50223, 50264, 1046, 158, 5, 2038, 1182, 50265, 1182, 50223, 50264, 30934, 315, 3692, 113, 1584, 1025, 2892, 16648, 631, 19995, 1182, 50265, 1182, 50223, 50264, 119, 5, 253, 1182, 50265, 225, 1402, 654, 13164, 1672, 10, 7, 713, 638, 508, 5, 727, 528, 50209, 41793, 239, 5, 15, 5, 17, 26261, 1688, 869, 926, 8, 4083, 50223, 52, 9761, 1197, 3333, 38246, 2856, 958, 1182, 27, 5304, 7825, 5, 233, 43787, 826, 134, 5, 508, 5, 1182, 50264, 12772, 253, 50209, 266, 1182, 50265, 84, 3197, 5304, 50223, 43250, 1013, 9552, 6, 30438, 343, 4, 17, 5961, 20216, 539, 5965, 10043, 413, 196, 8, 2280, 3677, 4, 3648, 391, 9, 8, 1182, 50264, 20944, 161, 1182, 50267, 1182, 50223, 50266, 1716, 1150, 546, 134, 1243, 1182, 50265, 84, 47, 10, 41825, 7, 44748, 508, 5, 568, 444, 1200, 2188, 21251, 221, 15233, 25971, 1718, 4, 20944, 767, 50223, 46250, 68, 5, 50223, 50264, 119, 5, 196, 1182, 50265, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 18, 18512, 3206, 7956, 2042, 637, 5304, 24131, 816, 8, 1680, 5, 119, 5, 253, 25312, 1182, 50189, 32092, 50223, 626, 1182, 48870, 25177, 1182, 50264, 4458, 6666, 34345, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 50264, 9503, 520, 617, 5048, 4458, 87, 194, 34345, 10, 352, 2278, 413, 196, 5, 1182, 50265, 1182, 50223, 1108, 6666, 34345, 10, 2930, 1186, 3161, 8, 11760, 20987, 18347, 20944, 116, 9769, 4, 95, 3923, 1182, 50264, 3922, 17280, 508, 5, 107, 1182, 50265, 25312, 19, 50223, 26818, 48620, 3951, 5959, 5, 50223, 50264, 119, 5, 259, 1182, 50265, 3206, 7956, 165, 9, 20913, 3020, 225, 1402, 654, 13164, 11890, 23, 4458, 6666, 34345, 24066, 34543, 8, 2332, 12, 1046, 158, 5, 50223, 8021, 25312, 5, 50223, 50264, 119, 5, 328, 1182, 50265, 3206, 7956, 165, 10, 10260, 4458, 6666, 34345, 8764, 7912, 23, 5198, 48000, 1134, 7, 7555, 50223, 24004, 168, 34542, 14622, 652, 14051, 6819, 6, 59, 11864, 22660, 38211, 1343, 12, 15946, 8869, 656, 5, 50223, 36761, 3436, 549, 9115, 9, 2630, 23, 19290, 9983, 25312, 8, 2555, 3099, 55, 225, 1402, 654, 13164, 1672, 50223, 6683, 401, 12121, 210, 7509, 80, 2487, 14600, 252, 8, 2185, 1680, 5, 229, 5, 253, 5183, 5, 657, 196, 50191, 237, 25312, 5, 50223, 50264, 1046, 158, 5, 7085, 1182, 50267, 1182, 50223, 50266, 6889, 3570, 16648, 631, 19995, 1182, 50265, 1182, 50223, 50264, 150, 5, 253, 1182, 50265, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 4458, 6666, 34345, 18, 18512, 3206, 7956, 2042, 7, 1182, 50264, 1785, 25066, 2224, 1182, 50265, 1182, 50223, 290, 12115, 627, 5551, 6754, 22983, 2318, 5, 50223, 50264, 150, 5, 196, 1182, 50265, 34124, 7306, 400, 1294, 13426, 7, 8564, 4, 13, 31, 10674, 462, 19559, 8, 2185, 638, 50223, 234, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4830406
2
[ 0, 15, 5, 17, 6150, 25256, 6, 25902, 13001, 23, 42789, 33145, 6, 10510, 9798, 33145, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 3023, 1363, 1984, 15, 6967, 10, 8072, 5185, 18, 858, 34345, 5, 50223, 50264, 207, 5, 266, 1182, 50265, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 23899, 168, 22816, 7509, 168, 3150, 31087, 50223, 32589, 11576, 17, 24785, 7509, 168, 23, 4458, 6666, 34345, 8, 5347, 29, 6478, 22179, 260, 2269, 4123, 5, 50223, 1514, 7956, 73, 13079, 30, 1270, 5, 1260, 5, 15598, 509, 9, 9234, 17, 3490, 22179, 3504, 18129, 1151, 293, 26033, 8035, 15233, 50223, 8624, 6, 11, 29, 107, 5, 253, 5, 23835, 509, 5, 239, 929, 9091, 34543, 48, 3206, 7956, 2042, 11850, 14908, 22332, 6, 1767, 50223, 470, 24121, 2224, 7243, 5617, 18, 1794, 13948, 7086, 1182, 50189, 2341, 50191, 734, 3323, 864, 12539, 12693, 17, 24785, 7509, 168, 50223, 290, 4458, 6666, 34345, 3206, 7956, 2042, 5, 37796, 9427, 48, 16795, 96, 18, 29930, 1182, 50189, 2458, 50191, 734, 3323, 864, 102, 3517, 449, 5, 50223, 50264, 207, 5, 444, 1182, 50265, 1368, 3206, 7956, 165, 17, 85, 19, 10685, 1182, 50189, 1105, 50191, 734, 557, 20501, 12, 1708, 636, 7509, 168, 4, 2630, 9, 11, 23, 19290, 50223, 9208, 3436, 25312, 4, 8, 2555, 3099, 55, 225, 1402, 654, 13164, 1672, 928, 12121, 210, 7509, 80, 2487, 14600, 252, 50223, 190, 2185, 1680, 5, 229, 5, 253, 5183, 5, 657, 196, 50191, 25312, 5, 50223, 50264, 207, 5, 497, 1182, 50265, 1368, 13952, 225, 1402, 654, 13164, 1672, 9983, 5551, 6754, 19362, 25312, 3206, 7956, 391, 4, 33, 9115, 50223, 88, 4866, 610, 3206, 7956, 2042, 4872, 9735, 462, 25455, 18596, 6, 39, 3206, 7956, 165, 1494, 4827, 151, 50223, 190, 5551, 9210, 9124, 65, 28, 17075, 8380, 161, 6401, 3473, 225, 1402, 654, 13164, 2875, 4, 55, 225, 1402, 654, 13164, 1672, 50223, 6683, 401, 10381, 866, 3206, 7956, 2042, 16851, 176, 7366, 45, 1493, 50244, 50223, 71, 50191, 236, 50258, 15, 20821, 34345, 1182, 50189, 6247, 4035, 50191, 4, 93, 8, 10617, 265, 2304, 30, 46671, 3488, 3206, 7956, 453, 4, 50223, 14155, 55, 82, 25312, 22313, 720, 8297, 168, 18672, 25312, 50245, 720, 19290, 9983, 50223, 1776, 209, 4063, 10, 642, 9983, 4, 39, 37, 10, 8, 34124, 348, 30521, 19668, 19, 19290, 9983, 4, 50223, 211, 50191, 292, 50258, 15, 20821, 34345, 1182, 50189, 6247, 4035, 50191, 4, 93, 8, 10617, 265, 2304, 30, 46671, 3488, 3206, 7956, 453, 4, 50223, 14155, 55, 82, 25312, 22313, 8297, 168, 18672, 25312, 50245, 100, 2031, 5112, 9983, 9115, 10, 642, 50223, 9208, 3436, 4, 39, 10, 8, 34124, 348, 30521, 19668, 19, 19290, 9983, 5, 50223, 33201, 190, 176, 7366, 8, 2185, 332, 1680, 5, 25312, 10, 434, 16260, 7852, 4, 93, 496, 681, 4506, 80, 1098, 50223, 702, 16177, 319, 8, 22464, 9124, 4, 33, 93, 9, 240, 26814, 436, 16670, 5, 268, 49350, 37, 10, 38566, 928, 50223, 37442, 654, 13164, 2875, 7, 11793, 4950, 4, 95, 120, 11494, 8, 2555, 18672, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4830406
3
[ 0, 239, 5, 15, 5, 17, 3556, 50223, 4767, 9365, 8326, 8, 4083, 6284, 3333, 4, 13, 3206, 7956, 165, 10, 2933, 3334, 8, 4458, 87, 51, 34345, 50223, 26435, 81, 4175, 2471, 67, 9365, 8326, 82, 19362, 332, 638, 6, 28891, 5524, 2455, 50223, 15006, 724, 926, 508, 5, 39900, 50209, 15024, 239, 5, 15, 5, 17, 9705, 116, 34376, 5, 3206, 7956, 165, 9, 683, 20913, 11619, 50223, 654, 2639, 3488, 4, 39, 120, 8, 1423, 12, 48126, 4458, 87, 194, 34345, 23290, 15, 20933, 8722, 50223, 4767, 34382, 4, 427, 638, 508, 5, 2627, 328, 50209, 11013, 239, 5, 15, 5, 17, 26574, 6, 17, 2909, 638, 869, 5541, 1104, 50223, 234, 5, 3726, 196, 50209, 29608, 10833, 5, 17, 14478, 963, 1182, 50189, 2932, 80, 989, 50191, 8, 4083, 6284, 3333, 4, 638, 508, 5, 12772, 50209, 5862, 239, 5, 15, 5, 50223, 143, 2682, 553, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 39695, 4083, 4, 638, 508, 5, 581, 50209, 36976, 10833, 5, 50223, 143, 34038, 3060, 8, 4083, 6284, 3333, 4, 638, 508, 5, 45291, 50209, 10673, 239, 5, 15, 5, 17, 29773, 431, 6, 638, 50223, 234, 5, 857, 253, 50209, 39025, 239, 5, 15, 5, 17, 45315, 23, 27089, 366, 23704, 8, 4083, 6284, 3333, 5, 159, 265, 50223, 9208, 10116, 5630, 9115, 8495, 3206, 7956, 165, 225, 1402, 654, 13164, 11890, 23, 306, 4950, 4, 39, 50223, 37442, 654, 13164, 11890, 18413, 18672, 9115, 3206, 7956, 391, 9439, 4, 1396, 5, 10153, 4, 39, 139, 50223, 37442, 654, 13164, 11890, 13190, 5, 50223, 50264, 429, 5, 444, 1182, 50265, 43001, 3729, 9798, 7011, 7, 4458, 87, 51, 34345, 141, 3206, 7956, 165, 8365, 36, 12, 32098, 50223, 15198, 68, 221, 20069, 225, 1402, 654, 13164, 2875, 6, 7, 713, 32175, 15345, 10948, 4, 33, 9818, 50223, 209, 597, 31642, 8393, 168, 7, 43, 18703, 5, 1368, 13952, 225, 1402, 654, 13164, 1672, 9983, 237, 3488, 50223, 1514, 7956, 391, 4, 55, 225, 1402, 654, 13164, 1672, 928, 12274, 29, 25312, 8, 2185, 1680, 5, 229, 5, 253, 5183, 5, 543, 50191, 237, 25312, 5, 50223, 32, 265, 18672, 237, 3488, 3206, 7956, 391, 4, 55, 225, 1402, 654, 13164, 1672, 683, 928, 10381, 866, 50223, 1514, 7956, 2042, 16851, 176, 7366, 45, 1493, 236, 27, 11267, 90, 20821, 7509, 168, 5, 33201, 7306, 400, 35985, 407, 4, 13, 50223, 470, 4754, 24499, 16851, 96, 19809, 37, 10, 18303, 52, 5796, 6, 11, 2929, 7, 8073, 4, 4372, 6, 24549, 50223, 290, 9866, 2004, 38636, 5, 32, 265, 4, 13, 24229, 18926, 6042, 185, 14026, 33, 14293, 24229, 18926, 50223, 4554, 1623, 6879, 23957, 7, 4458, 87, 51, 34345, 77, 400, 3206, 7956, 453, 42195, 225, 1402, 654, 13164, 11890, 6208, 50223, 1297, 10645, 2605, 1182, 50189, 22288, 5, 10153, 6, 108, 50191, 4, 3206, 7956, 165, 9, 20913, 482, 13818, 19276, 11078, 8, 10123, 50223, 2348, 34915, 5, 50223, 50264, 429, 5, 497, 1182, 50265, 3206, 7956, 165, 9, 20913, 4, 13, 39832, 14024, 4458, 87, 194, 34345, 10016, 7, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4830520
0
[ 0, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 6284, 15748, 1288, 1182, 23077, 24504, 446, 1680, 5, 207, 50223, 1297, 9315, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 3323, 45181, 7, 2324, 14245, 40883, 944, 9390, 161, 9878, 2108, 8, 4083, 6284, 50223, 100, 9568, 6, 12697, 50223, 50264, 1046, 158, 5, 186, 5, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50267, 1182, 50223, 50266, 225, 1402, 654, 13164, 1672, 50244, 1182, 50265, 1182, 50223, 4578, 45287, 1286, 50223, 612, 1105, 3726, 45287, 1286, 6644, 50223, 290, 13322, 406, 44889, 1114, 50244, 21325, 5, 5176, 5, 25247, 14175, 130, 408, 498, 2331, 50223, 272, 24069, 414, 6088, 14761, 50223, 182, 15563, 292, 196, 1164, 266, 2267, 2458, 50223, 2698, 1034, 5668, 50244, 50223, 12470, 10172, 4, 6, 5, 56, 551, 1253, 7250, 1182, 50189, 27418, 2477, 50191, 50244, 3801, 5275, 6981, 668, 2985, 668, 974, 253, 19056, 828, 563, 2621, 1196, 50223, 32, 1054, 281, 4, 6, 5, 56, 551, 1253, 7250, 1182, 50189, 27418, 2477, 50191, 50244, 3801, 2137, 563, 7048, 2985, 668, 2985, 668, 39860, 429, 1260, 196, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 50264, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50223, 31660, 5152, 885, 100, 49421, 50244, 14088, 6678, 1516, 38567, 153, 50223, 79, 2563, 319, 50209, 256, 50244, 50223, 10317, 73, 1253, 50244, 50223, 7895, 455, 50244, 71, 50223, 31660, 5152, 885, 100, 49421, 50244, 631, 939, 3523, 1516, 38567, 153, 50223, 79, 2563, 319, 50209, 256, 50244, 50223, 10317, 73, 1253, 50244, 50223, 7895, 455, 50244, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 299, 6387, 7, 44353, 237, 7509, 116, 1157, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 50223, 50264, 1046, 158, 5, 2038, 5, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 1157, 1182, 50265, 1182, 50223, 253, 5, 30611, 237, 1157, 10, 19017, 29897, 2875, 17998, 11668, 7509, 2042, 18, 18512, 534, 50223, 49776, 21373, 49845, 158, 5, 2038, 4, 11984, 119, 551, 150, 5, 237, 1157, 6, 19017, 7509, 453, 36183, 201, 4380, 29897, 11890, 50223, 96, 7956, 73, 82, 9982, 5, 10903, 5, 237, 1157, 4, 11, 251, 23, 2318, 29171, 8, 1498, 132, 8195, 5, 50223, 196, 5, 37442, 654, 13164, 1672, 29897, 17333, 1182, 48870, 25877, 119, 5, 25464, 534, 4, 1253, 50244, 84, 14802, 84, 44, 26193, 4, 8, 21, 2444, 28946, 50223, 190, 2540, 205, 11346, 4, 31, 2186, 73, 1253, 84, 4257, 1223, 7, 5304, 826, 134, 5, 1253, 6257, 50209, 18560, 4, 3197, 5304, 3591, 1013, 50223, 4763, 809, 4, 8, 128, 5, 293, 5, 27176, 42674, 220, 1182, 50189, 32092, 36, 1182, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 259, 5, 13389, 5830, 15, 4767, 254, 547, 3576, 346, 21042, 150, 4, 20021, 413, 196, 4, 16228, 3576, 346, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4830520
1
[ 0, 229, 4, 10313, 413, 196, 4, 7393, 12, 15180, 1125, 50223, 2715, 1955, 3576, 346, 21042, 840, 4, 4064, 413, 196, 6, 2715, 336, 3576, 346, 21042, 387, 4, 5307, 413, 196, 5, 9503, 520, 617, 5048, 3872, 4, 4064, 413, 196, 5, 50223, 32, 2715, 6582, 10, 42680, 2200, 31975, 13133, 254, 796, 6, 4370, 1434, 151, 10, 43637, 520, 10772, 1410, 39326, 5, 159, 510, 51, 50223, 4468, 10538, 41014, 2660, 2221, 1172, 256, 3900, 5, 159, 2843, 18909, 151, 10, 1883, 692, 4, 9410, 3288, 4, 7514, 4, 535, 33078, 360, 50223, 3384, 12140, 50209, 2343, 5684, 153, 4, 9410, 201, 1489, 50209, 7242, 5956, 19656, 1182, 50189, 2843, 4536, 4, 47558, 48253, 3152, 50191, 9319, 147, 73, 50223, 49090, 184, 11627, 6, 44159, 5, 159, 90, 1434, 151, 9, 749, 7847, 644, 2836, 1281, 1182, 50189, 7242, 243, 1182, 27, 5451, 50191, 7200, 325, 17450, 50223, 56, 748, 5495, 6032, 4368, 5075, 4, 33078, 1125, 9327, 31625, 4, 27658, 546, 5102, 5, 550, 11317, 1157, 139, 24341, 3862, 50223, 470, 10218, 43521, 7, 43, 10102, 6111, 5, 50223, 13813, 73, 4675, 50244, 562, 464, 37038, 843, 2422, 126, 2479, 5, 50223, 50264, 1046, 158, 5, 7085, 5, 1182, 50267, 1182, 50223, 50266, 4280, 71, 34345, 6, 1297, 937, 34345, 1182, 50265, 1182, 50223, 253, 5, 13389, 9128, 49845, 158, 5, 2038, 551, 1680, 5, 150, 5, 237, 1157, 9, 29897, 7, 1785, 13907, 1182, 50264, 1182, 50276, 29, 894, 5, 259, 5, 1508, 2659, 18, 429, 5, 328, 5, 1508, 2278, 1182, 50277, 1182, 50265, 84, 50223, 56, 16172, 1623, 2582, 2004, 45925, 7509, 116, 1157, 17, 259, 585, 38, 12115, 832, 2318, 5630, 50223, 190, 1498, 132, 8195, 5, 50223, 196, 5, 1514, 7956, 165, 55, 928, 7, 32707, 29218, 7509, 116, 1157, 7, 7509, 4104, 4, 8, 510, 13356, 2784, 7, 50223, 1297, 12628, 14742, 116, 20769, 665, 17, 1297, 16874, 7, 2582, 5395, 44353, 7509, 116, 1157, 50223, 71, 209, 11042, 980, 13651, 6, 465, 5128, 14944, 32751, 5849, 424, 17370, 10550, 4938, 7509, 116, 1157, 6, 38, 50223, 48627, 9206, 832, 2318, 5630, 45, 24861, 6, 44003, 7956, 116, 8195, 5, 50223, 259, 5, 174, 1578, 2582, 2004, 45925, 7509, 116, 1157, 4, 48, 29897, 1672, 6603, 7509, 453, 4, 50223, 1765, 662, 982, 416, 2535, 67, 5551, 21724, 33881, 34022, 34345, 7509, 168, 4104, 5, 50223, 328, 5, 330, 2582, 5395, 44353, 7509, 116, 1157, 4, 141, 30269, 18830, 7509, 176, 3305, 12, 96, 7956, 391, 4, 50223, 4724, 597, 30583, 3710, 30, 1270, 5, 48769, 8230, 26867, 509, 12837, 76, 2582, 2004, 50223, 2712, 406, 31916, 7509, 168, 4104, 50223, 71, 50191, 591, 10, 5619, 19, 2498, 30992, 3223, 36124, 4980, 8609, 9019, 1371, 253, 4, 50223, 211, 50191, 591, 10, 5619, 19, 1093, 30992, 3223, 36124, 4980, 8609, 9019, 1371, 196, 5, 50223, 266, 5, 32, 49394, 4, 93, 9, 8697, 221, 932, 7454, 28709, 6579, 5210, 1212, 10140, 50223, 23634, 1800, 4, 61, 34, 11635, 14197, 4, 11635, 24861, 17, 4595, 9568, 1654, 34345, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
4830520
2
[ 0, 954, 4, 7, 47, 124, 7509, 96, 5885, 5551, 5185, 1182, 50189, 1865, 361, 3172, 406, 50191, 4, 50223, 27, 1297, 6951, 29897, 2875, 4, 50223, 27, 1297, 6951, 4104, 5, 50223, 497, 5, 1995, 2093, 9310, 13529, 11316, 5309, 34345, 82, 9982, 5, 7085, 551, 1004, 352, 5, 6, 50191, 1182, 48870, 25877, 307, 50191, 4, 9982, 5, 159, 5, 1004, 50223, 196, 551, 150, 551, 207, 551, 229, 551, 429, 551, 430, 551, 539, 551, 236, 551, 564, 551, 446, 551, 658, 551, 580, 551, 387, 551, 568, 551, 581, 551, 411, 551, 840, 5, 292, 551, 704, 551, 3410, 551, 950, 551, 800, 551, 727, 551, 1226, 551, 50223, 4064, 5, 299, 7761, 23, 22624, 9983, 7509, 116, 1157, 6, 96, 8726, 73, 434, 16268, 541, 7509, 116, 50223, 100, 32445, 465, 5, 50223, 528, 5, 32, 15198, 68, 116, 17655, 126, 4, 110, 4505, 7, 11, 4, 61, 149, 9183, 29897, 1672, 33, 7509, 2177, 4, 438, 91, 50223, 88, 1330, 406, 19917, 4, 571, 9, 55, 7509, 9713, 5, 159, 265, 21744, 237, 1157, 9, 7509, 4104, 5645, 50223, 1006, 246, 5085, 17655, 116, 12621, 4, 95, 10, 416, 2535, 6, 1628, 39372, 29, 2375, 864, 4855, 50223, 86, 30317, 3608, 28, 8141, 4, 8, 648, 124, 14600, 7728, 3977, 7509, 2042, 4, 1396, 5, 29897, 11890, 5, 50223, 612, 5, 859, 3081, 163, 14964, 9, 3802, 1891, 34345, 6472, 41090, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 28913, 50223, 1297, 1282, 1100, 1376, 3473, 6284, 3333, 5, 50223, 828, 5, 32, 49394, 20672, 34345, 4, 31, 7509, 2177, 24551, 2311, 534, 17481, 179, 11201, 13593, 635, 1753, 6458, 50223, 465, 1282, 1612, 60, 20069, 29897, 2875, 5, 159, 265, 20672, 34345, 237, 1157, 1628, 50223, 929, 15870, 96, 19917, 39372, 29, 2375, 864, 4855, 23835, 28, 8141, 4, 8, 648, 99, 50223, 88, 1282, 1891, 34345, 38867, 29897, 11890, 4, 93, 9, 28444, 400, 1276, 19116, 660, 5, 50223, 1164, 5, 1514, 7956, 165, 14, 10, 29215, 5842, 23, 12334, 4950, 9926, 7, 8084, 19681, 6811, 6, 28, 50223, 88, 1282, 3461, 34345, 4104, 4, 5448, 176, 9238, 18084, 1665, 82, 3291, 12, 29897, 4852, 5, 50223, 1260, 5, 280, 1282, 4432, 7509, 168, 3003, 32245, 605, 7509, 391, 4924, 7, 11985, 7277, 168, 14245, 5, 50223, 2247, 5, 32, 265, 4, 93, 9, 7509, 165, 30, 18200, 20672, 7509, 116, 1157, 15, 13709, 4104, 487, 44186, 154, 4, 50223, 147, 1402, 654, 13164, 1672, 10016, 14040, 15846, 4104, 7, 2183, 7509, 453, 5, 50223, 50264, 1046, 158, 5, 10903, 5, 1182, 50267, 1182, 50223, 50266, 3206, 7956, 73, 6, 25272, 3938, 60, 21122, 5027, 7003, 8, 4468, 3469, 3677, 228, 1052, 3273, 4104, 28816, 20486, 1182, 50267, 1182, 50223, 50266, 9017, 179, 4846, 627, 1182, 50265, 1182, 50223, 253, 5, 1514, 7956, 165, 9, 20913, 36183, 201, 4380, 29897, 11890, 34543, 45, 1493, 119, 4, 14761, 1182, 49607, 14238, 27272, 50209, 105, 196, 50209, 12433, 1473, 4, 649, 5, 250, 5, 1182, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4830520
3
[ 0, 1157, 7785, 11081, 767, 932, 5, 50223, 497, 5, 1514, 7956, 165, 10, 2933, 11850, 12900, 29897, 11890, 399, 30533, 40676, 450, 7, 11257, 50223, 4767, 87, 5180, 34345, 4, 1396, 5, 8882, 24057, 2956, 24, 3181, 12539, 681, 47497, 5, 50223, 528, 5, 1514, 7956, 165, 10, 2933, 31338, 28853, 14623, 29, 894, 50244, 668, 1502, 5, 18, 352, 50244, 668, 1502, 5, 23835, 864, 30632, 3081, 116, 50223, 37809, 9, 12501, 18393, 21219, 866, 8542, 7509, 391, 5, 50223, 612, 5, 79, 713, 2476, 20527, 8938, 55, 7509, 165, 4104, 4, 10683, 4, 25, 8, 1138, 163, 19, 16, 50223, 22297, 820, 5070, 441, 17069, 25863, 269, 2847, 5042, 4, 8753, 293, 5042, 7, 3864, 8416, 7938, 1114, 50223, 2540, 205, 1286, 1182, 50189, 4767, 21, 455, 8, 46801, 2784, 5152, 1893, 4394, 524, 14771, 50191, 5, 46560, 3436, 332, 9661, 9, 50223, 147, 48362, 154, 23, 1182, 50264, 22624, 9983, 1182, 50265, 22983, 2318, 5, 50223, 828, 5, 6282, 3835, 9930, 4, 7291, 449, 8728, 4, 33, 4426, 36739, 60, 37787, 2542, 524, 50223, 209, 11750, 12668, 23328, 7663, 29897, 2875, 5, 4560, 7841, 29897, 2875, 60, 19405, 9930, 4, 50223, 290, 8962, 449, 8728, 4, 33, 14293, 8675, 13969, 60, 37787, 2542, 524, 47887, 12668, 438, 274, 8380, 176, 50223, 17209, 5, 529, 8380, 161, 28503, 314, 29897, 2875, 10, 7509, 165, 10260, 8365, 9918, 4, 10345, 50223, 209, 11750, 3858, 188, 7, 713, 5868, 639, 1179, 4, 47, 10, 36304, 1073, 237, 3206, 7956, 116, 50223, 100, 32445, 465, 5, 14907, 7011, 4, 15063, 26815, 28438, 168, 41450, 7509, 453, 4, 486, 8763, 7509, 165, 7, 50223, 34908, 73, 2183, 12887, 190, 2599, 605, 120, 2695, 4924, 7, 396, 41954, 4537, 4, 1396, 5, 7, 4424, 10048, 11793, 5, 50223, 1164, 5, 2351, 7271, 18, 7336, 279, 6760, 21, 2444, 3511, 10, 1182, 50264, 40425, 1182, 50265, 44, 2347, 7271, 18, 7336, 279, 6760, 21, 2444, 50223, 16803, 1096, 10, 11041, 188, 38, 40149, 11498, 32922, 3511, 5, 1145, 37460, 2554, 11498, 32922, 3511, 50223, 50264, 438, 1182, 50265, 91, 6820, 816, 18211, 1112, 126, 985, 9836, 1182, 48870, 25877, 13982, 4, 95, 55, 7, 23492, 16311, 50223, 43767, 1576, 825, 5, 50223, 1260, 5, 1995, 25842, 7365, 9, 12875, 5352, 50244, 26426, 4, 35335, 4, 28667, 73, 4675, 4, 50223, 173, 464, 38741, 4, 2590, 5, 1182, 50189, 18070, 2554, 15367, 1023, 4, 29028, 19005, 418, 4, 2590, 5, 50191, 31, 1182, 50264, 10683, 1182, 50265, 44, 2347, 39462, 7365, 9, 50223, 31091, 163, 5352, 4, 141, 7509, 165, 8365, 7, 232, 2183, 4, 26, 188, 60, 20069, 50223, 147, 1402, 654, 13164, 2875, 5, 4560, 7841, 29897, 2875, 77, 8102, 63, 16208, 9, 12875, 1182, 50264, 5352, 438, 274, 1182, 50267, 1182, 50223, 50266, 8380, 176, 3279, 5, 1182, 50265, 46560, 3436, 332, 9661, 9, 2630, 23, 1182, 50264, 22624, 9983, 1182, 50265, 22983, 50223, 4595, 25678, 5, 50223, 2247, 5, 182, 2201, 73, 11512, 8, 510, 51, 9310, 12, 59, 48126, 6, 96, 10218, 3938, 12, 39609, 26486, 1955, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4830550
0
[ 0, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 508, 5, 430, 4064, 1164, 15594, 4708, 27, 253, 27, 1508, 2659, 27, 474, 16162, 1182, 50269, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 8, 2332, 12, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 50223, 190, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 41590, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 36828, 386, 35179, 11160, 44075, 8805, 1182, 50265, 1182, 50223, 50264, 107, 5, 253, 5, 225, 1402, 654, 13164, 1672, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 50244, 1182, 50264, 28715, 1286, 869, 926, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 15392, 48650, 342, 430, 4, 430, 2247, 6060, 842, 50223, 18851, 86, 6268, 50244, 4426, 25701, 2069, 50223, 33504, 50244, 10584, 80, 30745, 29112, 1972, 842, 7085, 4, 50223, 521, 3768, 50244, 529, 4, 159, 40560, 1253, 50244, 150, 1260, 50209, 281, 50223, 48573, 194, 4386, 135, 6779, 50244, 21325, 5, 10002, 1337, 173, 4, 6571, 2070, 50223, 521, 2479, 147, 80, 13050, 50244, 28715, 1286, 869, 926, 1182, 48870, 25877, 32483, 2856, 32657, 842, 4, 50223, 5421, 125, 1690, 352, 4, 430, 1164, 11833, 842, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 13222, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 17233, 71, 23000, 3584, 50223, 86, 5114, 25312, 50244, 21325, 5, 22248, 2983, 122, 8844, 4, 2070, 13222, 50223, 272, 24069, 50244, 1270, 2627, 328, 655, 253, 50223, 182, 15563, 50244, 5476, 328, 2606, 1260, 253, 50223, 15563, 4035, 1182, 50244, 3218, 31955, 328, 2606, 1260, 253, 50223, 25973, 30, 4035, 50244, 29897, 1672, 10, 6529, 1672, 4035, 50223, 8757, 44975, 50223, 1210, 7728, 14482, 8380, 4063, 50244, 32657, 1182, 48870, 25877, 13222, 4, 2445, 15066, 96, 2641, 2856, 2629, 43378, 256, 44295, 1101, 4, 563, 2137, 3317, 2629, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 107, 5, 196, 5, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50223, 21103, 50244, 1182, 50264, 14832, 38642, 9228, 1530, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 34112, 3288, 50244, 1046, 22512, 5, 1653, 1153, 436, 568, 4, 2629, 563, 2137, 3317, 50223, 18851, 86, 6268, 50244, 8696, 12, 760, 4432, 40804, 50223, 367, 13322, 406, 50209, 324, 50244, 1182, 50264, 11680, 5, 1161, 2742, 2320, 1182, 27, 36153, 1182, 50265, 1182, 50223, 272, 24069, 50244, 3872, 1101, 612, 3498, 612, 50223, 182, 15563, 50244, 39860, 8291, 4348, 2606, 50223, 15563, 4035, 50244, 50223, 25973, 30, 4035, 50244, 7509, 165, 10, 6529, 1672, 4035, 1126, 19672, 1747, 1222, 30, 4035, 50244, 7509, 165, 10, 39548, 13546, 9836, 82, 1182, 23077, 24504, 150, 638, 17, 4035, 50223, 1025, 28978, 7250, 50223, 401, 17083, 186, 38810, 50244, 50223, 112, 719, 13507, 335, 50209, 281, 4383, 50244, 50223, 8757, 44975, 24, 7728, 14482, 39763, 50223, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4830550
1
[ 0, 8380, 4063, 50244, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 3206, 7956, 165, 1182, 50265, 1182, 48870, 19594, 50191, 4, 50223, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 50264, 34124, 7306, 400, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 196, 1182, 50264, 1046, 158, 5, 2038, 1182, 50267, 1182, 50223, 50266, 30934, 315, 3692, 113, 1584, 1025, 2892, 16648, 631, 19995, 1182, 50267, 1182, 50223, 50266, 119, 5, 253, 1182, 50265, 225, 1402, 654, 13164, 1672, 10, 7, 713, 638, 508, 5, 727, 528, 50209, 41793, 239, 5, 15, 5, 17, 26261, 1688, 869, 926, 50223, 190, 4083, 6284, 3333, 38246, 2856, 958, 1182, 48870, 25877, 5304, 7825, 5, 233, 43787, 826, 134, 5, 508, 5, 1182, 50264, 1915, 14018, 50209, 196, 828, 1182, 50265, 84, 3197, 50223, 379, 3164, 90, 3591, 1013, 9552, 6, 30438, 343, 4, 17, 5961, 20216, 1182, 50264, 704, 413, 196, 1182, 50265, 8, 2280, 3677, 4, 749, 3608, 9, 50223, 190, 1182, 50264, 20944, 161, 1716, 1998, 5112, 8286, 1182, 50265, 84, 47, 10, 41825, 7, 44748, 508, 5, 1182, 50264, 568, 259, 1182, 50265, 1200, 2188, 21251, 221, 15233, 50223, 26936, 4, 20944, 767, 2389, 68, 5, 50223, 1514, 7956, 165, 10, 19964, 4574, 84, 4, 1684, 153, 19658, 48870, 19594, 4257, 940, 7, 5304, 7825, 5, 233, 43787, 1182, 50264, 826, 134, 5, 508, 5, 1915, 14018, 50209, 196, 828, 4, 1182, 50267, 1182, 50223, 50266, 31, 147, 5, 508, 5, 1961, 5307, 4, 32041, 38975, 7, 44748, 508, 5, 658, 2267, 444, 4, 1182, 50265, 11596, 1674, 7, 20944, 161, 11950, 19168, 1992, 2629, 4, 50223, 1210, 30, 5, 635, 5, 1182, 50264, 1998, 5112, 8286, 1182, 50265, 84, 913, 331, 102, 31, 35133, 6, 23724, 1182, 50189, 544, 36, 1182, 50264, 84, 4, 1684, 153, 19658, 48870, 19594, 1182, 50265, 1182, 50191, 5, 50223, 50264, 119, 5, 196, 1182, 50265, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 18, 18512, 3206, 7956, 2042, 7350, 24131, 816, 8, 1680, 5, 119, 5, 253, 25312, 1182, 50189, 32092, 36, 50223, 48870, 25177, 1182, 50264, 4458, 6666, 34345, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 50264, 9503, 520, 617, 5048, 4458, 87, 194, 34345, 10, 704, 413, 196, 5, 1182, 50265, 1182, 50223, 1108, 6666, 34345, 10, 2930, 1186, 3161, 8, 11760, 20987, 18347, 20944, 116, 9769, 4, 95, 3923, 1182, 50264, 3922, 17280, 508, 5, 107, 1182, 50265, 25312, 19, 50223, 26818, 48620, 3951, 5959, 5, 50223, 50264, 119, 5, 259, 1182, 50265, 3206, 7956, 165, 9, 20913, 3020, 225, 1402, 654, 13164, 11890, 23, 4458, 6666, 34345, 24066, 34543, 8, 2332, 50223, 56, 1046, 158, 5, 10903, 25312, 5, 50223, 50264, 119, 5, 328, 1182, 50265, 3206, 7956, 165, 10, 10260, 4458, 6666, 34345, 8764, 7912, 23, 5198, 12484, 30585, 4, 95, 10, 45, 50223, 929, 271, 1953, 18888, 3206, 7956, 453, 6, 10, 14473, 7, 4458, 87, 51, 34345, 5, 50223, 50264, 119, 5, 266, 1182, 50265, 3206, 7956, 165, 10, 10260, 5914, 1887, 25470, 8, 1680, 5, 119, 5, 328, 25312, 8, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
4830550
2
[ 0, 6910, 7509, 168, 7, 14405, 15, 35298, 7918, 50223, 37442, 654, 13164, 2875, 5630, 45, 5640, 28376, 5, 50223, 50264, 207, 5, 259, 1182, 50265, 33225, 15169, 5540, 7509, 168, 23, 1732, 3323, 864, 16751, 25312, 18, 2375, 864, 46611, 50223, 100, 32445, 2212, 5551, 11892, 10888, 168, 15169, 19376, 2584, 48, 38574, 5617, 18, 10658, 1182, 50189, 497, 50191, 50223, 201, 172, 29, 8341, 864, 2584, 4, 7, 39, 9, 32947, 13877, 5, 130, 5012, 450, 18045, 10, 29930, 1182, 50189, 2458, 50191, 734, 50223, 25289, 864, 102, 3517, 449, 5, 50223, 50264, 207, 5, 328, 1182, 50265, 225, 1402, 654, 13164, 1672, 48, 36183, 201, 4380, 23, 4458, 6666, 34345, 4236, 15, 8472, 8, 2185, 638, 50223, 234, 5, 6361, 196, 50209, 11013, 239, 5, 15, 5, 17, 6150, 25256, 6, 25902, 13001, 23, 42789, 33145, 6, 10510, 9798, 50223, 702, 2381, 118, 8, 4083, 6284, 3333, 5, 50223, 50264, 207, 5, 266, 1182, 50265, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 23899, 168, 22816, 7509, 168, 3150, 31087, 50223, 32589, 11576, 17, 24785, 7509, 168, 23, 4458, 6666, 34345, 8, 5347, 29, 6478, 22179, 260, 2269, 4123, 5, 50223, 1514, 7956, 73, 13079, 30, 1270, 5, 1260, 5, 15598, 509, 9, 9234, 17, 3490, 22179, 3504, 18129, 1151, 293, 26033, 8035, 50223, 293, 1684, 68, 333, 6, 11, 29, 107, 5, 253, 5, 23835, 509, 5, 239, 929, 9091, 34543, 48, 3206, 7956, 2042, 11850, 14908, 22332, 6, 50223, 96, 8726, 52, 18, 24121, 2224, 7243, 5617, 18, 1794, 13948, 7086, 1182, 50189, 2341, 50191, 734, 3323, 864, 12539, 12693, 17, 24785, 50223, 96, 7956, 168, 23, 4458, 6666, 34345, 3206, 7956, 2042, 5, 37796, 9427, 48, 16795, 96, 18, 29930, 1182, 50189, 2458, 50191, 734, 3323, 864, 102, 50223, 465, 2421, 449, 5, 50223, 50264, 207, 5, 444, 1182, 50265, 1368, 3206, 7956, 165, 17, 85, 19, 10685, 1182, 50189, 1105, 50191, 734, 557, 20501, 12, 1708, 636, 7509, 168, 4, 2630, 9, 11, 23, 19290, 50223, 9208, 3436, 25312, 4, 8, 2555, 3099, 55, 225, 1402, 654, 13164, 1672, 928, 12121, 210, 7509, 80, 2487, 14600, 252, 50223, 190, 2185, 1680, 5, 229, 5, 253, 5183, 5, 657, 196, 50191, 25312, 5, 50223, 50264, 207, 5, 497, 1182, 50265, 1368, 13952, 225, 1402, 654, 13164, 1672, 9983, 5551, 6754, 19362, 25312, 3206, 7956, 391, 4, 33, 9115, 50223, 88, 4866, 610, 3206, 7956, 2042, 4872, 9735, 462, 25455, 18596, 6, 39, 3206, 7956, 165, 1494, 4827, 151, 50223, 190, 5551, 9210, 9124, 65, 28, 17075, 8380, 161, 6401, 3473, 225, 1402, 654, 13164, 2875, 4, 55, 225, 1402, 654, 13164, 1672, 50223, 6683, 401, 10381, 866, 3206, 7956, 2042, 16851, 176, 7366, 45, 1493, 50244, 50223, 71, 50191, 236, 50258, 15, 20821, 34345, 1182, 50189, 6247, 4035, 50191, 4, 93, 8, 10617, 265, 2304, 30, 46671, 3488, 3206, 7956, 453, 4, 50223, 14155, 55, 82, 25312, 22313, 720, 8297, 168, 18672, 25312, 50245, 720, 19290, 9983, 50223, 1776, 209, 4063, 10, 642, 9983, 4, 39, 37, 10, 8, 34124, 348, 30521, 19668, 19, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4830550
3
[ 0, 3283, 2080, 2334, 113, 225, 2158, 2013, 45098, 2047, 36828, 386, 35179, 13899, 1760, 5686, 20684, 474, 1182, 50265, 1182, 50223, 50264, 429, 5, 253, 1182, 50265, 225, 1402, 654, 13164, 1672, 19276, 28, 9848, 2797, 16751, 25312, 28793, 14222, 8631, 3206, 7956, 2042, 50223, 1108, 6666, 34345, 7, 713, 31087, 30874, 17, 10413, 832, 6, 23767, 4458, 87, 194, 34345, 5, 4458, 87, 455, 50223, 42424, 173, 271, 48, 16173, 282, 2447, 4, 8, 7056, 9, 4458, 6666, 34345, 749, 8, 628, 59, 10413, 627, 50223, 1514, 7956, 2042, 5, 50223, 50264, 429, 5, 196, 1182, 50265, 3206, 7956, 165, 10, 2933, 13242, 6334, 9, 7, 4458, 87, 51, 34345, 8328, 1383, 4858, 7430, 4, 50223, 464, 7794, 7430, 7158, 1321, 7709, 5, 50223, 50264, 429, 5, 259, 1182, 50265, 3206, 7956, 165, 10, 2933, 8764, 4458, 6666, 34345, 3336, 767, 6, 10951, 767, 932, 4, 438, 50223, 48627, 35206, 731, 4872, 20825, 6296, 14420, 2487, 1747, 9, 7, 4458, 6666, 34345, 5, 3206, 7956, 165, 13072, 50223, 17717, 731, 4458, 6666, 34345, 36, 7, 3181, 2747, 8, 1680, 5, 119, 5, 328, 25312, 5, 46560, 3436, 237, 3488, 9, 50223, 147, 48362, 154, 23, 19290, 9983, 25312, 4, 8, 2555, 3099, 55, 225, 1402, 654, 13164, 1672, 928, 12121, 7509, 80, 50223, 17893, 6489, 14600, 252, 8, 2185, 1680, 5, 229, 5, 253, 5183, 5, 657, 196, 50191, 25312, 5, 50223, 444, 1182, 50264, 429, 5, 328, 1182, 50265, 3206, 7956, 165, 10, 2933, 38, 34816, 4458, 87, 194, 34345, 31338, 306, 1212, 225, 1402, 654, 13164, 2875, 6, 10, 50223, 254, 29215, 98, 4, 13, 50244, 50223, 27, 4458, 6666, 34345, 9, 749, 8, 4778, 161, 16360, 16880, 1182, 50189, 32092, 36, 84, 4, 7293, 182, 48870, 19594, 50191, 4, 12, 961, 31, 3938, 50223, 52, 35661, 2212, 29935, 6, 8870, 9926, 39609, 7158, 2668, 33212, 6, 15, 98, 9113, 32657, 50223, 52, 39719, 23366, 23, 12334, 10787, 6, 4950, 38, 43, 14557, 6, 12248, 9926, 7158, 2668, 50223, 470, 30549, 5, 50223, 27, 695, 7921, 9648, 3729, 14026, 25725, 18, 10094, 8356, 168, 6, 15767, 980, 2964, 50223, 147, 1402, 6716, 1498, 6080, 5, 50223, 27, 3922, 2381, 96, 1887, 8, 9605, 182, 23328, 12785, 6411, 19362, 20910, 508, 5, 229, 2247, 50209, 9733, 239, 5, 15, 5, 17, 26861, 133, 50223, 71, 17, 2909, 6, 9689, 1085, 3833, 5, 50223, 36761, 3436, 549, 9115, 9, 2630, 23, 19290, 9983, 25312, 8, 2555, 3099, 55, 50223, 37442, 654, 13164, 1672, 928, 12121, 210, 7509, 80, 2487, 14600, 252, 8, 2185, 1680, 5, 229, 5, 253, 5183, 5, 657, 196, 50191, 237, 50223, 33201, 465, 5, 50223, 50264, 429, 5, 266, 1182, 50265, 225, 1402, 654, 13164, 1672, 9, 12, 3206, 7956, 391, 21093, 7, 713, 1182, 23077, 24504, 352, 1680, 5, 119, 638, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 50223, 4767, 9365, 8326, 8, 4083, 6284, 3333, 4, 13, 3206, 7956, 165, 10, 2933, 3334, 8, 4458, 87, 51, 34345, 50223, 26435, 81, 4175, 2471, 67, 9365, 8326, 82, 19362, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4831584
0
[ 0, 107, 50223, 50264, 1182, 50268, 3206, 7956, 96, 5885, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 17, 14074, 68, 14523, 87, 10625, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 508, 5, 14561, 7760, 4463, 668, 259, 27, 259, 27, 1508, 2659, 27, 474, 155, 192, 474, 1182, 50269, 1182, 50265, 1182, 50223, 1865, 361, 3172, 406, 8, 2332, 60, 3931, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 6, 108, 96, 8842, 15086, 3731, 5352, 50223, 190, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 41590, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 36828, 386, 35179, 11160, 44075, 8805, 1182, 50265, 1182, 50223, 50264, 107, 5, 253, 225, 1402, 654, 13164, 1672, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 1182, 50244, 1182, 50264, 28715, 1286, 869, 926, 1182, 50265, 1182, 50223, 34112, 3288, 1182, 50244, 15392, 48650, 342, 430, 4, 430, 2247, 6060, 842, 18851, 86, 6268, 1182, 50244, 4426, 25701, 2069, 50223, 33504, 1182, 50244, 10584, 80, 30745, 29112, 1972, 842, 7085, 4, 50223, 521, 3768, 50244, 529, 4, 159, 40560, 1253, 50244, 150, 1260, 50209, 281, 50223, 48573, 194, 4386, 135, 6779, 1182, 50244, 21325, 5, 10002, 1337, 173, 4, 6571, 2070, 50223, 521, 2479, 147, 80, 13050, 1182, 50244, 28715, 1286, 869, 926, 1182, 48870, 25877, 32483, 2856, 32657, 4, 43037, 1690, 352, 4, 50223, 528, 1164, 11833, 842, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 13222, 32657, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 17233, 71, 23000, 3584, 50223, 86, 5114, 25312, 1182, 50244, 5176, 5, 4357, 23841, 53, 4, 8370, 2445, 15066, 116, 1173, 2856, 8078, 272, 24069, 1182, 50244, 1270, 2627, 328, 655, 253, 50223, 182, 15563, 1182, 50244, 5476, 328, 2606, 1260, 253, 50223, 15563, 4035, 1182, 50244, 3218, 31955, 328, 2606, 1260, 253, 50223, 25973, 30, 4035, 1182, 50244, 29897, 1672, 1182, 50264, 10, 1182, 50265, 6529, 1672, 4035, 50223, 8757, 44975, 50223, 1210, 7728, 14482, 8380, 4063, 1182, 50244, 32657, 1182, 48870, 25877, 5369, 315, 8078, 4, 258, 44, 500, 5, 30413, 1495, 266, 50209, 196, 4, 539, 2341, 3317, 8078, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 107, 5, 196, 3206, 7956, 165, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 1182, 50244, 1182, 50264, 415, 1745, 27, 45540, 3982, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 34112, 3288, 1182, 50244, 311, 16044, 81, 387, 3018, 50209, 2621, 4, 563, 7437, 3317, 20499, 7505, 18851, 86, 6268, 1182, 50244, 8696, 12, 760, 4432, 40804, 50223, 33504, 1182, 50244, 10584, 80, 30745, 19168, 1972, 5423, 4, 34179, 508, 5, 6061, 497, 2458, 50209, 386, 50223, 48573, 194, 4386, 135, 6779, 1182, 50244, 12233, 2953, 1182, 48870, 25877, 1161, 1124, 11872, 6776, 50223, 272, 24069, 1182, 50244, 2345, 6644, 444, 352, 1635, 50223, 182, 15563, 1182, 50244, 292, 3100, 2247, 266, 1250, 253, 50223, 25973, 30, 4035, 1182, 50244, 7509, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
4831584
1
[ 0, 1182, 50264, 10, 1182, 50265, 6529, 1672, 4035, 6, 1182, 50264, 10, 1182, 50265, 39548, 13546, 9836, 50223, 31659, 826, 5, 259, 638, 17, 4035, 508, 5, 3410, 196, 50209, 11013, 239, 5, 100, 5, 8, 23071, 147, 5, 50223, 12959, 1034, 5668, 1182, 50244, 1280, 3100, 2247, 528, 7376, 612, 50209, 1196, 7048, 27954, 6, 5, 56, 5, 50223, 27418, 2477, 1182, 50244, 50223, 112, 719, 13507, 335, 50209, 281, 4383, 1182, 50244, 50223, 8757, 44975, 50223, 1210, 7728, 14482, 8380, 4063, 1182, 50244, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 3206, 7956, 165, 1182, 50265, 1182, 48870, 19594, 50191, 4, 50223, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 50264, 34124, 7306, 400, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 196, 50223, 50264, 1046, 158, 5, 2038, 1182, 50265, 1182, 50223, 50264, 30934, 315, 3692, 113, 1584, 1025, 2892, 16648, 631, 19995, 1182, 50267, 1182, 50223, 50266, 119, 5, 253, 1182, 50265, 225, 1402, 654, 13164, 1672, 10, 7, 713, 638, 508, 5, 727, 528, 50209, 41793, 239, 5, 15, 5, 17, 26261, 1688, 869, 926, 50223, 190, 4083, 6284, 3333, 38246, 2856, 958, 1182, 48870, 25877, 5304, 50244, 50223, 47069, 14238, 9652, 826, 134, 5, 7825, 5, 28204, 474, 508, 5, 568, 4549, 50209, 253, 4, 3197, 5304, 31729, 5, 3085, 5, 6, 30438, 343, 4, 17, 5961, 20216, 840, 292, 266, 413, 196, 4, 50223, 86, 4753, 3608, 9, 8, 30, 5, 635, 5, 529, 205, 2438, 325, 4871, 35967, 29784, 3631, 7, 44748, 727, 1200, 2188, 20944, 767, 2389, 68, 50223, 36451, 168, 1992, 41889, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 529, 249, 8061, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 50264, 119, 5, 196, 1182, 50265, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 18, 18512, 3206, 7956, 2042, 1182, 50264, 637, 529, 3164, 90, 1182, 50265, 24131, 3631, 8, 1680, 5, 119, 5, 253, 25312, 50223, 71, 11, 50244, 50223, 47069, 14238, 9652, 1182, 50264, 826, 134, 5, 7825, 5, 233, 43787, 508, 5, 568, 4549, 50209, 253, 1182, 50265, 84, 3197, 5304, 31729, 5, 3085, 5, 6, 30438, 164, 4, 17, 20216, 150, 5438, 266, 105, 196, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 4458, 6666, 34345, 50191, 5, 1182, 50265, 1182, 50223, 50264, 9503, 520, 617, 5048, 4458, 87, 194, 34345, 10, 150, 5438, 266, 105, 196, 5, 1182, 50265, 1182, 50223, 1108, 6666, 34345, 10, 2930, 1186, 3161, 8, 11760, 36749, 31, 2806, 802, 485, 1598, 315, 6, 43787, 19, 1182, 50264, 3922, 17280, 508, 5, 107, 1182, 50265, 25312, 6, 3923, 102, 50223, 52, 702, 11396, 8860, 5959, 5, 50223, 50264, 119, 5, 259, 1182, 50265, 3206, 7956, 165, 9, 20913, 3020, 225, 1402, 654, 13164, 11890, 24066, 34543, 8, 2332, 12, 1046, 158, 5, 10903, 25312, 5, 50223, 50264, 119, 5, 328, 1182, 50265, 3206, 7956, 165, 10, 10260, 11317, 34345, 8764, 7912, 23, 5198, 1182, 50264, 1182, 48870, 25177, 88, 27381, 1266, 6, 27384, 1182, 50267, 1182, 50223, 50266, 12, 38813, 48870, 19594, 5, 1182, 50265, 1182, 50264, 1182, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4831584
2
[ 0, 508, 5, 229, 5275, 50209, 9720, 239, 5, 15, 5, 17, 9506, 15, 5346, 8, 23071, 147, 6, 11, 18, 1093, 1182, 50189, 266, 50191, 734, 3323, 864, 2720, 1458, 5, 50223, 50264, 207, 5, 266, 1182, 50265, 3023, 1363, 7509, 168, 5583, 1853, 16, 6594, 10717, 23, 23420, 3626, 6, 1984, 15, 6967, 5, 50223, 50264, 1046, 158, 5, 159, 1182, 50267, 1182, 50223, 50266, 459, 27862, 1025, 21494, 16648, 631, 19995, 1182, 50265, 1182, 50223, 1514, 7956, 80, 2487, 40035, 50244, 50223, 71, 50191, 46622, 2193, 34345, 4, 50223, 211, 50191, 8380, 185, 22376, 34124, 190, 163, 1572, 5, 50223, 50264, 1046, 158, 5, 15776, 1182, 50267, 1182, 50223, 50266, 115, 2513, 280, 24069, 2334, 22965, 1182, 50265, 1182, 50223, 33201, 7306, 400, 9, 6387, 4, 13, 7, 7728, 14482, 9334, 8380, 4063, 9, 240, 47763, 9661, 50223, 23077, 24504, 32538, 94, 1182, 23077, 24504, 34293, 638, 508, 5, 8958, 50209, 5862, 239, 5, 100, 5, 6049, 3244, 80, 2836, 370, 5111, 8, 4083, 6284, 3333, 5, 50223, 50264, 1046, 158, 5, 159, 10311, 1182, 50267, 1182, 50223, 50266, 3283, 2080, 2334, 113, 225, 2158, 2013, 45098, 2047, 36828, 386, 35179, 13899, 1760, 5686, 20684, 474, 1182, 50267, 1182, 50223, 50266, 429, 5, 253, 1182, 50265, 3206, 7956, 165, 10, 2933, 13242, 6334, 9, 7, 9134, 51, 34345, 8328, 1383, 4858, 7430, 4, 61, 50223, 21133, 2348, 7430, 7158, 1321, 7709, 5, 50223, 50264, 429, 5, 196, 1182, 50265, 3206, 7956, 165, 569, 866, 225, 1402, 654, 13164, 11890, 4924, 7, 11793, 4950, 4089, 9210, 7, 59, 1733, 50223, 379, 2048, 599, 4, 30628, 7551, 33, 30411, 185, 37262, 5, 1368, 15, 1383, 3206, 7956, 453, 8433, 30, 4623, 29672, 1595, 10141, 996, 4, 50223, 100, 23696, 450, 21690, 5, 10153, 13190, 33884, 21575, 33788, 788, 5, 50223, 50264, 429, 5, 328, 1182, 50265, 3206, 7956, 165, 10, 2933, 17559, 11853, 225, 1402, 654, 13164, 2875, 1993, 7, 4458, 6666, 34345, 23, 5198, 50223, 13678, 449, 59, 17242, 2447, 6, 10513, 59, 18512, 5, 50223, 50264, 429, 5, 266, 1182, 50265, 3206, 7956, 165, 10, 2933, 17559, 1993, 7, 4458, 6666, 34345, 8609, 14664, 11853, 50223, 37442, 654, 13164, 2875, 23, 5198, 8609, 6879, 6292, 7, 4458, 87, 51, 34345, 5, 50223, 50264, 429, 5, 444, 1182, 50265, 3206, 7956, 165, 37, 10, 10260, 110, 12837, 31087, 7663, 225, 1402, 654, 13164, 2875, 17998, 11668, 50223, 1108, 6666, 34345, 82, 25312, 33, 11815, 59, 637, 14777, 18, 18512, 33, 18, 108, 96, 31916, 5, 10274, 50223, 4468, 956, 582, 225, 1402, 654, 13164, 2875, 3199, 3206, 7956, 165, 17559, 17936, 33, 34891, 4458, 87, 194, 34345, 2883, 50223, 23907, 179, 65, 7, 713, 1157, 17, 24575, 4, 1361, 2883, 1157, 17, 17547, 31545, 5, 159, 265, 50223, 9208, 10116, 237, 3488, 14, 225, 1402, 654, 13164, 1672, 24495, 928, 15169, 4611, 3206, 7956, 2042, 16851, 176, 7366, 45, 50223, 929, 11315, 655, 1182, 50258, 15, 7509, 168, 4, 5551, 11892, 8, 1680, 5, 207, 5, 253, 25312, 5, 130, 5012, 450, 18045, 3517, 940, 50223, 37442, 654, 13164, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832452
0
[ 0, 107, 1182, 50264, 1182, 50268, 3206, 7956, 96, 5885, 508, 5, 3914, 259, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 1046, 158, 5, 107, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50265, 1182, 50223, 37442, 654, 13164, 51, 7101, 50244, 50223, 8227, 31718, 4, 18188, 50244, 2985, 1270, 444, 411, 253, 4, 10336, 50244, 15099, 4082, 325, 107, 4, 539, 5466, 3317, 31718, 50223, 290, 13322, 287, 7, 713, 25857, 2043, 1157, 1182, 50244, 50223, 50264, 2718, 174, 3366, 6, 5, 56, 5, 4497, 5, 3547, 290, 508, 5, 950, 4, 31718, 1182, 50265, 1182, 50223, 23907, 71, 25391, 39492, 17, 3831, 1157, 6, 18830, 3305, 50244, 50223, 50264, 5176, 5, 4795, 214, 153, 7401, 4, 11900, 6, 5, 56, 5, 2718, 174, 3366, 1182, 50265, 1182, 50223, 1514, 7956, 165, 1182, 50189, 593, 3224, 1182, 50191, 1182, 50244, 31660, 6, 9354, 50244, 1182, 50264, 1182, 50268, 28236, 3458, 514, 5211, 1182, 50269, 1182, 50265, 1182, 50223, 2320, 9728, 50244, 21302, 50223, 39139, 831, 43373, 50244, 459, 18874, 29678, 305, 508, 5, 259, 31718, 50223, 50264, 1046, 158, 5, 119, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 6, 8073, 1157, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 534, 3679, 7, 7445, 5830, 1218, 1182, 50264, 15, 1020, 1182, 50265, 9833, 50223, 71, 23724, 8, 48288, 4, 7, 1182, 50264, 459, 27334, 29678, 215, 508, 5, 150, 4, 1182, 50265, 119, 5, 1156, 12103, 1182, 50264, 84, 1182, 50265, 508, 5, 211, 5, 1182, 50264, 229, 4, 1182, 50265, 533, 19964, 50223, 278, 8286, 31718, 5, 15078, 52, 12, 7509, 391, 240, 534, 8764, 1371, 4, 39, 3487, 16562, 50223, 96, 7956, 453, 6, 349, 2691, 10, 9128, 8, 25281, 237, 7509, 116, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 10, 10260, 12, 21, 455, 8764, 16, 3357, 4675, 6, 3357, 1651, 1374, 50223, 71, 4730, 12368, 4, 39, 9, 7693, 12, 48126, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 4, 13, 60, 23930, 4104, 4, 59, 23724, 6, 32825, 23008, 9, 50223, 854, 32589, 3515, 8, 8846, 13339, 29897, 2875, 5, 50223, 328, 5, 225, 1402, 654, 13164, 1672, 19885, 7509, 2042, 534, 913, 59, 23724, 8, 18512, 8740, 161, 50223, 2421, 179, 17, 1822, 8868, 214, 6, 7509, 165, 8267, 2347, 2186, 4719, 17, 23767, 4104, 5, 267, 2186, 2447, 50223, 96, 7956, 168, 4104, 6, 6170, 23724, 7509, 168, 4104, 10, 9128, 8, 2347, 2186, 1641, 17, 23767, 50223, 42342, 5, 50223, 50264, 1046, 158, 5, 150, 1182, 50267, 1182, 50223, 50266, 4280, 71, 9753, 6, 34418, 34345, 1182, 50265, 1182, 50223, 253, 5, 31460, 9128, 8, 9982, 5, 119, 1680, 5, 107, 237, 1157, 9, 29897, 7, 1785, 50244, 50264, 13907, 1182, 50265, 1182, 50223, 50264, 2355, 3317, 5, 7595, 5, 1508, 2659, 18, 1270, 5, 1260, 5, 1508, 2659, 1182, 50265, 1182, 50223, 33201, 7306, 400, 13426, 7, 8564, 4, 13, 146, 846, 284, 17, 32707, 29218, 7509, 116, 1157, 50223, 190, 2332, 12, 7581, 636, 1182, 23077, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832452
1
[ 0, 446, 1680, 5, 259, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 50223, 944, 9390, 161, 9878, 2108, 8, 4083, 6284, 3333, 5, 50223, 196, 5, 3206, 7956, 80, 2487, 141, 13663, 18617, 50244, 50223, 49607, 25177, 24736, 8380, 185, 22376, 22983, 1572, 50223, 49607, 25177, 24736, 8380, 185, 14600, 252, 50223, 196, 1182, 49607, 25177, 24736, 46622, 12621, 7, 376, 66, 22120, 17634, 5, 50223, 1514, 7956, 80, 2487, 45833, 14600, 252, 4541, 17275, 7671, 4855, 23835, 28, 50223, 87, 895, 104, 4, 8, 648, 124, 14600, 7728, 3977, 17070, 4886, 126, 4, 5617, 72, 46622, 50223, 14005, 34345, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 7509, 4104, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 29, 217, 5, 107, 2445, 234, 5, 50223, 1297, 1282, 1100, 50223, 328, 5, 159, 265, 20672, 34345, 10, 7509, 165, 2933, 2311, 534, 8, 19584, 2372, 4, 1361, 50223, 190, 2372, 11201, 13593, 6042, 221, 635, 1753, 6458, 6820, 4216, 60, 20069, 29897, 2875, 50223, 50189, 23077, 24504, 9950, 328, 28913, 19088, 50191, 5, 50223, 266, 5, 3206, 7956, 165, 55, 928, 7, 32707, 29218, 1157, 17, 14523, 87, 7509, 168, 4104, 38, 12115, 832, 50223, 4595, 25678, 5630, 8, 237, 7509, 116, 8195, 6, 8, 7581, 7341, 638, 508, 5, 3872, 259, 50209, 10673, 50223, 155, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 50223, 1514, 7956, 165, 5764, 7, 8564, 4, 13, 32707, 29218, 1157, 17, 14523, 87, 7509, 168, 4104, 10, 50223, 4595, 9568, 287, 640, 1482, 16, 6396, 3991, 1212, 16399, 8, 19362, 1182, 23077, 24504, 446, 1680, 5, 207, 50223, 190, 10671, 12, 7581, 636, 1182, 23077, 24504, 894, 1680, 5, 150, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 50223, 23634, 1800, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 267, 1578, 2582, 2004, 50223, 1865, 1075, 170, 1059, 7509, 116, 1157, 48, 29897, 1672, 6603, 7509, 453, 2083, 416, 2535, 50223, 4767, 5551, 21724, 33881, 34022, 34345, 7509, 168, 4104, 5, 50223, 50264, 1046, 158, 5, 207, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 6, 16795, 450, 7509, 168, 6, 25272, 23, 1182, 50267, 1182, 50223, 50266, 12368, 28333, 12, 48126, 4104, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 3020, 1182, 48870, 25877, 3323, 864, 14039, 627, 43086, 17, 23767, 4104, 34543, 45, 50223, 929, 11315, 1182, 50264, 1182, 50244, 6246, 4, 11297, 1182, 49607, 14238, 27272, 7920, 1182, 50265, 1182, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 3020, 1182, 48870, 25877, 3323, 864, 14039, 627, 43086, 17, 23767, 4104, 4, 19478, 23, 50223, 2164, 1266, 28333, 12, 48126, 4104, 45, 1493, 1182, 50264, 1182, 50244, 411, 196, 4, 7220, 1182, 49607, 14238, 27272, 1182, 50265, 1182, 50264, 7920, 1182, 50265, 1182, 50223, 259, 5, 1584, 22492, 23, 9426, 28333, 12, 48126, 4104, 9, 1450, 7920, 20465, 915, 393, 50223, 56, 7509, 221, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832452
2
[ 0, 7277, 221, 932, 82, 1182, 23077, 24504, 27, 88, 430, 1680, 5, 429, 28891, 508, 5, 655, 259, 50209, 1508, 3410, 239, 5, 100, 5, 50223, 26747, 7, 4808, 16543, 17447, 902, 964, 1182, 50189, 32092, 36, 42379, 32, 50191, 24, 10409, 19779, 5893, 1485, 50223, 4172, 34564, 4852, 3487, 2183, 7, 11928, 6022, 6, 21915, 964, 1182, 50189, 32092, 36, 10329, 50191, 8, 750, 50223, 6101, 11513, 42379, 32, 11107, 116, 8360, 2288, 43980, 4870, 8, 20467, 13049, 82, 20933, 50223, 4767, 34382, 5, 3206, 10218, 23, 10329, 7, 4808, 42379, 32, 9, 301, 293, 234, 3851, 82, 4601, 15169, 17772, 50223, 43765, 4852, 32771, 82, 12009, 36056, 116, 4394, 793, 2706, 68, 445, 63, 5, 3206, 10218, 23, 50223, 51, 4763, 7, 4808, 16543, 17447, 902, 964, 1182, 50189, 32092, 36, 42379, 32, 50191, 9, 301, 21346, 402, 190, 2332, 50223, 56, 7581, 636, 1182, 23077, 24504, 539, 6, 236, 28891, 508, 5, 655, 259, 50209, 1508, 3410, 239, 5, 100, 5, 50223, 435, 293, 33487, 8, 2185, 839, 3237, 5, 655, 259, 50209, 1508, 3410, 239, 5, 100, 5, 9, 6879, 671, 1914, 23, 33887, 273, 292, 3100, 5, 50223, 211, 50191, 82, 42101, 20821, 1908, 1648, 23, 50244, 50223, 48870, 24736, 12295, 12875, 5440, 6, 12875, 1733, 1374, 4, 50223, 134, 50191, 16137, 6, 12, 10248, 9, 301, 293, 234, 7928, 7, 713, 4601, 15169, 17772, 77, 400, 50223, 43765, 2875, 964, 12, 4238, 7, 11928, 36056, 176, 4394, 793, 2706, 68, 445, 63, 4, 39, 50223, 56, 35882, 19, 6698, 248, 6147, 18356, 802, 4601, 5, 1050, 6698, 248, 6147, 18356, 802, 4601, 50223, 299, 7761, 2706, 68, 7334, 4, 349, 9110, 6, 40102, 10, 20040, 50223, 190, 2185, 20933, 8722, 3333, 38246, 5, 50223, 328, 5, 1799, 466, 12810, 33487, 6879, 29897, 1672, 18, 1270, 5, 1408, 23835, 509, 3323, 864, 20085, 50223, 23018, 163, 4601, 23, 20235, 12368, 5, 50223, 266, 5, 839, 293, 36140, 1343, 9204, 319, 1276, 20486, 10, 7509, 165, 4104, 2933, 5013, 29897, 11890, 18, 1101, 50223, 201, 172, 3323, 864, 12539, 12810, 36140, 687, 5, 159, 714, 7078, 9124, 10, 29897, 1672, 2933, 2311, 50223, 96, 7956, 2042, 4104, 16, 12810, 36140, 1343, 9204, 319, 24, 20486, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 22471, 82, 9982, 5, 328, 4, 44710, 107, 4, 119, 6, 229, 237, 1157, 31, 50223, 96, 7956, 2177, 4394, 6, 15086, 3731, 5352, 24551, 3020, 29897, 11890, 24879, 6434, 50223, 100, 45708, 9128, 8, 1973, 207, 5, 1680, 5, 539, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 12797, 29, 50223, 96, 7956, 453, 4104, 4, 1396, 5, 15086, 4889, 2964, 2183, 3938, 12, 8380, 185, 21823, 7, 33964, 50223, 5068, 4846, 1612, 22471, 8, 18, 19347, 116, 1493, 107, 4, 9924, 1182, 49607, 14238, 27272, 23, 867, 10957, 5, 50223, 497, 5, 4560, 48095, 237, 7509, 116, 1157, 10, 21038, 540, 2321, 4, 47, 1418, 22666, 7509, 168, 50223, 71, 25272, 23, 12368, 4, 28333, 12, 48126, 4104, 6, 5829, 1648, 4, 39, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4832452
3
[ 0, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 50223, 4767, 34382, 6, 7509, 165, 26081, 23647, 25470, 8, 19362, 1182, 23077, 24504, 894, 1680, 5, 150, 638, 508, 5, 50223, 7590, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 50223, 4767, 34382, 50191, 5, 50223, 444, 50223, 259, 5, 3206, 7956, 96, 5885, 9, 8868, 154, 8, 119, 27, 179, 41830, 6849, 1610, 4, 808, 28, 1599, 37453, 6849, 238, 456, 23286, 50223, 147, 1402, 654, 13164, 1672, 1182, 48870, 25877, 16105, 4104, 6, 7509, 165, 5, 50223, 32, 48288, 4, 864, 11833, 5, 250, 2077, 3858, 292, 2659, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 290, 29897, 2875, 7509, 165, 50223, 8227, 31718, 28236, 3458, 514, 5211, 50223, 10172, 174, 3366, 6, 5, 56, 5, 50223, 40290, 5, 7401, 4795, 214, 153, 50223, 979, 17282, 53, 11468, 279, 392, 50223, 497, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4832460
0
[ 0, 107, 1182, 50264, 1182, 50268, 3206, 7956, 96, 5885, 508, 5, 3811, 328, 1182, 50267, 1182, 50271, 1182, 50223, 50270, 1182, 50266, 1046, 158, 5, 107, 1182, 50269, 1182, 50267, 1182, 50223, 50266, 34124, 7306, 400, 1182, 50265, 1182, 50223, 37442, 654, 13164, 51, 7101, 50244, 50223, 50189, 41742, 165, 50191, 50244, 1182, 50264, 2718, 174, 3366, 6, 5, 56, 5, 4497, 5, 3547, 290, 508, 5, 950, 4, 31718, 1182, 50265, 1182, 50223, 17233, 118, 25561, 39492, 17, 3831, 1157, 1182, 50244, 1182, 50264, 5176, 5, 4795, 214, 153, 7401, 4, 11900, 6, 5, 56, 5, 2718, 174, 3366, 1182, 50265, 15424, 71, 25391, 39492, 17, 3831, 1157, 6, 18830, 3305, 1182, 50244, 1182, 50264, 5176, 5, 4795, 214, 153, 7401, 4, 1182, 50267, 1182, 50223, 50266, 11900, 6, 5, 56, 5, 2718, 174, 3366, 1182, 50265, 1182, 50223, 1514, 1048, 68, 165, 1182, 50189, 2177, 50191, 1182, 50244, 31660, 6, 9354, 50244, 1182, 50264, 1182, 50268, 11680, 5, 13198, 29129, 2804, 520, 1182, 50269, 1182, 50265, 1182, 50223, 2320, 6, 488, 9728, 50244, 727, 5, 7595, 5, 47754, 4, 31718, 50223, 39139, 831, 43373, 50244, 46679, 2698, 4091, 7085, 50209, 4120, 4, 12037, 2137, 259, 31718, 50223, 50264, 1046, 158, 5, 119, 1182, 50267, 1182, 50223, 50266, 4458, 6666, 6, 8073, 1157, 1182, 50265, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 534, 3679, 7, 7445, 5830, 1218, 1182, 50264, 15, 556, 1182, 50265, 9833, 50223, 71, 23724, 8, 48288, 4, 7, 12264, 5, 1182, 50264, 46679, 2698, 4091, 7085, 508, 5, 4626, 4, 1182, 50265, 107, 5, 27726, 343, 4, 1182, 50264, 508, 5, 657, 5, 564, 4, 1182, 50265, 533, 50223, 34908, 1821, 10, 8286, 31718, 5, 15078, 52, 12, 7509, 391, 240, 534, 8764, 1371, 4, 39, 3487, 50223, 201, 8712, 21745, 7509, 453, 6, 349, 2691, 10, 9128, 8, 25281, 237, 7509, 116, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 10, 10260, 12, 21, 455, 8764, 16, 3357, 4675, 6, 3357, 1651, 1374, 50223, 71, 4730, 12368, 4, 39, 9, 7693, 12, 48126, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 4, 13, 60, 23930, 4104, 4, 59, 23724, 6, 32825, 23008, 9, 50223, 854, 32589, 3515, 8, 8846, 13339, 29897, 2875, 5, 50223, 328, 5, 225, 1402, 654, 13164, 1672, 19885, 7509, 2042, 534, 913, 59, 23724, 8, 18512, 8740, 161, 50223, 2421, 179, 17, 1822, 8868, 214, 6, 7509, 165, 8267, 2347, 2186, 4719, 17, 23767, 4104, 5, 267, 2186, 2447, 7509, 168, 50223, 42342, 6, 6170, 23724, 7509, 168, 4104, 10, 9128, 8, 2347, 2186, 1641, 17, 23767, 4104, 5, 50223, 50264, 1046, 158, 5, 150, 1182, 50267, 1182, 50223, 50266, 4280, 71, 9753, 6, 34418, 34345, 1182, 50265, 1182, 50223, 253, 5, 31460, 9128, 8, 9982, 5, 119, 1680, 5, 107, 237, 1157, 9, 29897, 7, 1785, 50244, 50264, 13907, 1182, 50265, 1182, 50223, 50264, 2355, 414, 5, 7595, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 2659, 1182, 50265, 1182, 50223, 71, 11, 3323, 864, 14039, 627, 43086, 17, 10413, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832460
1
[ 0, 6, 23767, 4104, 5, 50223, 196, 5, 3206, 7956, 80, 2487, 141, 13663, 18617, 50244, 50223, 49607, 25177, 24736, 8380, 185, 22376, 22983, 1572, 50223, 49607, 25177, 24736, 8380, 185, 14600, 252, 50223, 49607, 25177, 24736, 46622, 12621, 7, 376, 66, 22120, 17634, 5, 50223, 196, 3206, 7956, 80, 2487, 45833, 14600, 252, 4541, 17275, 7671, 4855, 23835, 28, 50223, 87, 895, 104, 4, 8, 648, 124, 14600, 7728, 3977, 17070, 4886, 126, 4, 5617, 72, 46622, 50223, 14005, 34345, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 7509, 4104, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 29, 217, 5, 107, 2445, 234, 5, 50223, 1297, 1282, 1100, 50223, 328, 5, 159, 265, 20672, 34345, 10, 7509, 165, 2933, 2311, 534, 8, 19584, 2372, 4, 1361, 50223, 190, 2372, 11201, 13593, 6042, 221, 635, 1753, 6458, 6820, 4216, 60, 20069, 29897, 2875, 50223, 50189, 23077, 24504, 9950, 328, 28913, 19088, 50191, 5, 50223, 266, 5, 3206, 7956, 165, 55, 928, 7, 32707, 29218, 1157, 17, 14523, 87, 7509, 168, 4104, 38, 12115, 832, 50223, 4595, 25678, 5630, 8, 237, 7509, 116, 8195, 6, 8, 7581, 7341, 638, 508, 5, 3872, 259, 50209, 10673, 50223, 155, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 50223, 1514, 7956, 165, 5764, 7, 8564, 4, 13, 32707, 29218, 1157, 17, 14523, 87, 7509, 168, 4104, 10, 50223, 4595, 9568, 287, 640, 1482, 16, 6396, 3991, 1212, 16399, 8, 19362, 1182, 23077, 24504, 446, 1680, 5, 207, 50223, 190, 10671, 12, 7581, 636, 1182, 23077, 24504, 894, 1680, 5, 150, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 50223, 23634, 1800, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 267, 1578, 2582, 2004, 50223, 1865, 1075, 170, 1059, 7509, 116, 1157, 48, 30269, 6603, 7509, 453, 2083, 416, 2535, 67, 50223, 470, 1643, 21724, 33881, 34022, 34345, 7509, 168, 4104, 5, 50223, 50264, 1046, 158, 5, 207, 1182, 50267, 1182, 50223, 50266, 3023, 1363, 6, 16795, 450, 7509, 168, 6, 25272, 23, 1182, 50267, 1182, 50223, 50266, 12368, 28333, 12, 48126, 4104, 1182, 50265, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 3020, 1182, 48870, 25877, 3323, 864, 14039, 627, 43086, 17, 23767, 4104, 34543, 45, 50223, 929, 11315, 1182, 50264, 1182, 50244, 17968, 4, 8956, 1182, 49607, 14238, 27272, 7920, 1182, 50265, 1182, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 3020, 1182, 48870, 25877, 3323, 864, 14039, 627, 43086, 17, 23767, 4104, 4, 19478, 23, 50223, 2164, 1266, 28333, 12, 48126, 4104, 45, 1493, 1182, 50264, 1182, 50244, 3073, 4, 4549, 1182, 49607, 14238, 27272, 1182, 50265, 1182, 50264, 7920, 1182, 50265, 1182, 50223, 259, 5, 1584, 22492, 23, 9426, 28333, 12, 48126, 4104, 9, 1450, 7920, 20465, 915, 393, 50223, 56, 7509, 221, 5, 529, 23486, 509, 29897, 1672, 301, 293, 234, 7928, 2183, 23, 28333, 12368, 7, 50223, 16803, 3910, 1160, 9834, 6, 15086, 2081, 4675, 664, 50244, 50223, 16828, 10248, 2183, 23, 20235, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832460
2
[ 0, 529, 19086, 23, 5756, 240, 9060, 50223, 1006, 4004, 572, 17, 5104, 11201, 5760, 48742, 794, 5396, 22179, 6569, 9019, 26033, 8035, 50223, 293, 1684, 68, 333, 5, 50223, 29284, 29, 30159, 3283, 32, 474, 8, 46801, 2784, 48, 14908, 28932, 7509, 391, 4394, 3150, 50223, 929, 348, 289, 1182, 50189, 143, 40509, 50191, 5, 30666, 7509, 165, 4104, 6691, 1633, 2136, 172, 534, 8, 48017, 9704, 26547, 194, 4, 50223, 22802, 14, 9001, 47582, 4745, 26547, 194, 3283, 32, 474, 5, 1368, 7509, 165, 4104, 23531, 199, 1052, 47582, 50223, 525, 28972, 26547, 194, 4, 141, 14, 9001, 29622, 4745, 26547, 194, 5, 8246, 26547, 677, 9, 6879, 50223, 86, 2183, 7509, 453, 4104, 6, 48, 3104, 319, 8, 16919, 38, 26547, 51, 5, 159, 265, 93, 23, 6694, 50223, 854, 3782, 343, 35396, 6658, 509, 48, 3283, 32, 474, 19858, 540, 15, 1924, 10787, 3283, 32, 474, 15283, 50223, 51, 1756, 23, 44118, 1732, 48, 13743, 11839, 1013, 82, 59, 1491, 9811, 116, 12009, 50223, 56, 4238, 7, 37828, 43723, 8, 2185, 28090, 508, 5, 107, 30, 18129, 11315, 508, 5, 21658, 50209, 6218, 239, 5, 100, 5, 50223, 211, 50191, 82, 42101, 20821, 1908, 1648, 23, 50244, 50223, 48870, 24736, 12295, 12875, 5440, 6, 12875, 1733, 1374, 4, 50223, 134, 50191, 16137, 6, 12, 10248, 9, 301, 293, 234, 7928, 7, 713, 4601, 15169, 17772, 77, 400, 50223, 43765, 2875, 964, 12, 4238, 7, 11928, 36056, 176, 4394, 793, 2706, 68, 445, 63, 4, 39, 50223, 56, 35882, 19, 6698, 248, 6147, 18356, 802, 4601, 5, 1050, 6698, 248, 6147, 18356, 802, 4601, 50223, 299, 7761, 2706, 68, 7334, 4, 349, 9110, 6, 40102, 10, 20040, 50223, 190, 2185, 20933, 8722, 3333, 38246, 5, 50223, 328, 5, 1799, 466, 12810, 33487, 6879, 29897, 1672, 18, 1270, 5, 1408, 23835, 509, 3323, 864, 20085, 50223, 23018, 163, 4601, 23, 20235, 12368, 5, 50223, 266, 5, 839, 293, 36140, 1343, 9204, 319, 1276, 20486, 10, 7509, 165, 4104, 2933, 5013, 29897, 11890, 18, 1101, 50223, 201, 172, 3323, 864, 12539, 12810, 36140, 687, 5, 159, 714, 7078, 9124, 10, 29897, 1672, 2933, 2311, 50223, 96, 7956, 2042, 4104, 16, 12810, 36140, 1343, 9204, 319, 24, 20486, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 22471, 82, 9982, 5, 328, 4, 44710, 107, 4, 119, 6, 229, 237, 1157, 31, 50223, 96, 7956, 2177, 4394, 6, 15086, 3731, 5352, 24551, 3020, 29897, 11890, 24879, 6434, 50223, 100, 45708, 9128, 8, 1973, 207, 5, 1680, 5, 539, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 12797, 29, 50223, 96, 7956, 453, 4104, 4, 1396, 5, 15086, 4889, 2964, 2183, 3938, 12, 8380, 185, 21823, 7, 33964, 50223, 5068, 4846, 1612, 22471, 8, 18, 19347, 116, 1493, 107, 4, 9924, 1182, 49607, 14238, 27272, 23, 867, 10957, 5, 50223, 497, 5, 4560, 48095, 237, 7509, 116, 1157, 10, 21038, 540, 2321, 4, 47, 1418, 22666, 7509, 168, 50223, 71, 25272, 23, 12368, 4, 28333, 12, 48126, 4104, 5, 264, 48895, 540, 2321, 8868, 154, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
4832460
3
[ 0, 13, 960, 7509, 96, 5885, 10, 195, 29283, 8, 2332, 60, 3931, 3872, 259, 50209, 10673, 239, 5, 100, 5, 50223, 143, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 6284, 3333, 5, 50223, 1514, 7956, 165, 23087, 4, 13, 9837, 306, 1212, 7, 29218, 237, 7509, 116, 1157, 50223, 43071, 940, 3931, 3872, 259, 50209, 10673, 239, 5, 100, 5, 6, 11, 495, 23647, 25470, 8, 19362, 1182, 23077, 24504, 894, 50223, 702, 56, 5, 150, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 100, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 50223, 190, 4083, 6284, 3333, 5, 50223, 259, 5, 3206, 7956, 96, 5885, 9, 8868, 154, 8, 119, 27, 179, 41830, 6849, 1610, 4, 808, 28, 1599, 37453, 6849, 238, 456, 23286, 50223, 147, 1402, 654, 13164, 1672, 1182, 48870, 25877, 16105, 4104, 6, 7509, 165, 5, 50223, 32, 48288, 4, 864, 11833, 5, 1299, 292, 2659, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 48870, 20388, 5, 5, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 290, 29897, 2875, 1182, 50189, 41742, 453, 50191, 7509, 165, 50223, 8227, 31718, 11680, 5, 29129, 2804, 520, 13198, 50223, 10172, 174, 3366, 6, 5, 56, 5, 50223, 40290, 5, 11537, 4795, 214, 153, 50223, 979, 17282, 53, 6, 5, 56, 5, 10172, 174, 3366, 50223, 497, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
4832570
0
[ 0, 21702, 1182, 50264, 107, 1182, 50265, 15, 1182, 50264, 207, 1182, 50265, 1182, 50264, 16648, 631, 3813, 12570, 36828, 45225, 2334, 6, 7860, 1292, 3877, 12095, 3369, 1182, 50265, 1182, 50223, 50276, 82, 1182, 23077, 24504, 6653, 259, 6, 1182, 50277, 1182, 50276, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 28913, 19088, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 50277, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 1182, 50276, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 1182, 50277, 1182, 50265, 1182, 50191, 71, 1182, 50276, 82, 1182, 23077, 24504, 1226, 612, 1680, 5, 119, 638, 508, 5, 229, 2247, 50209, 34836, 10833, 5, 42634, 19088, 8, 1182, 50277, 1182, 50276, 4083, 1182, 50279, 1182, 50223, 50278, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 10584, 80, 41348, 1182, 50265, 1182, 48870, 19594, 50191, 1182, 50277, 1182, 50189, 32092, 36, 19, 50264, 1182, 48870, 25177, 39919, 48870, 19594, 1182, 50265, 1182, 50191, 1182, 50264, 1182, 50267, 1182, 50223, 50266, 24819, 83, 50244, 1182, 50267, 1182, 50223, 50266, 3283, 1372, 12214, 2287, 5748, 1862, 3744, 50244, 1182, 50265, 1182, 50223, 21103, 50244, 1182, 50264, 15650, 37707, 325, 4871, 5615, 1182, 50265, 1182, 50223, 8757, 44975, 50244, 36680, 9184, 704, 253, 50209, 528, 50223, 1196, 7111, 894, 37707, 325, 4871, 5615, 50223, 272, 24069, 50244, 2985, 259, 4463, 3410, 497, 50223, 12959, 128, 5, 5668, 50244, 33978, 3566, 558, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 20021, 6026, 668, 2985, 668, 2985, 4228, 5708, 1508, 5065, 253, 50223, 32, 42727, 50244, 11680, 5, 415, 214, 16934, 45981, 1178, 14428, 153, 4, 9861, 50223, 50264, 307, 27, 4094, 50244, 9861, 50249, 546, 1275, 305, 379, 755, 71, 5, 334, 1182, 50265, 1182, 50223, 50189, 32092, 36, 19, 1182, 48870, 25177, 1182, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50264, 6, 1182, 50267, 1182, 50223, 50266, 16648, 631, 3813, 13449, 50244, 1182, 50265, 1182, 50223, 14541, 73, 1236, 50244, 1182, 50264, 11046, 4776, 5865, 35080, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 944, 7780, 50244, 43115, 1410, 1715, 107, 50223, 43612, 1280, 2612, 53, 38, 29783, 50223, 272, 24069, 50244, 1270, 1961, 612, 704, 497, 50223, 15563, 4035, 50244, 3218, 31955, 4228, 41793, 50223, 182, 15563, 50244, 5476, 4228, 41793, 50223, 12959, 128, 5, 5668, 50244, 14338, 3566, 6, 5, 56, 551, 842, 4, 50223, 27418, 2477, 50244, 3218, 7062, 24090, 2985, 668, 2985, 4120, 26392, 3914, 2621, 50223, 367, 15198, 1013, 50244, 159, 10584, 161, 16590, 29112, 1972, 842, 7085, 4, 50223, 702, 3768, 50244, 130, 270, 4, 34179, 508, 5, 50244, 1961, 1635, 50209, 281, 50223, 2256, 86, 1672, 50244, 11680, 5, 1881, 11738, 88, 3381, 50223, 32, 42727, 5176, 5, 8983, 5243, 19331, 4, 6618, 7, 713, 7357, 449, 50223, 50189, 32092, 36, 19, 1182, 48870, 25177, 1182, 50264, 3206, 7956, 165, 1182, 50265, 1182, 48870, 19594, 50191, 50223, 50189, 37442, 654, 13164, 1672, 6, 3206, 7956, 165, 544, 2794, 16, 36, 19, 1182, 48870, 25177, 1182, 50264, 34124, 7306, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832570
1
[ 0, 400, 1182, 50265, 1182, 48870, 19594, 33, 39076, 1182, 48870, 25177, 1182, 50264, 34124, 44003, 1247, 1182, 50265, 1182, 48870, 19594, 50223, 190, 34448, 2767, 294, 6437, 7837, 5, 50191, 50223, 50264, 1046, 158, 5, 186, 1182, 50267, 1182, 50223, 50266, 30934, 315, 3692, 36828, 45225, 23109, 1182, 50265, 1182, 50223, 253, 5, 253, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 17, 20216, 1226, 259, 413, 196, 4, 29784, 1713, 7, 44748, 508, 5, 658, 6503, 4, 50223, 86, 4753, 3563, 9, 7, 826, 35090, 508, 5, 658, 1164, 50209, 2247, 4, 3197, 5304, 1050, 2421, 1013, 9552, 6, 30438, 343, 4, 826, 24655, 6565, 50223, 318, 4, 1200, 2188, 21251, 221, 15233, 45043, 4, 20944, 135, 2389, 4, 1719, 37707, 325, 4871, 5615, 4, 20944, 52, 50223, 293, 19248, 37707, 325, 4871, 5615, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 4458, 6666, 3206, 31916, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 4458, 6666, 25312, 9, 749, 7, 11257, 50244, 1182, 50264, 12264, 5, 1182, 50267, 1182, 50223, 50266, 36271, 1182, 50189, 1291, 19495, 508, 5, 1226, 50191, 4, 563, 7111, 894, 37707, 325, 4871, 5615, 1182, 50189, 2975, 269, 4091, 38, 27650, 46247, 1421, 1182, 50267, 1182, 50223, 50266, 6, 2152, 835, 794, 6568, 50191, 1182, 50265, 84, 45, 20216, 107, 413, 196, 5, 695, 702, 11396, 13546, 1073, 237, 25312, 10, 3922, 11606, 508, 5, 107, 4, 95, 50223, 3829, 3363, 1467, 14728, 22825, 26276, 1292, 3877, 12095, 3369, 6, 7258, 8329, 1292, 3877, 12095, 3369, 5, 50223, 253, 5, 196, 1050, 2318, 5551, 6754, 8, 237, 34124, 348, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 3206, 7956, 2042, 4458, 6666, 25312, 18, 50223, 17717, 1800, 23, 5198, 5630, 8, 11984, 107, 5, 259, 237, 25312, 4, 12, 961, 3206, 7956, 165, 14368, 6, 3206, 7956, 165, 9, 50223, 19189, 1143, 1354, 5013, 225, 1402, 654, 13164, 11890, 34543, 8, 12981, 6, 23, 2318, 5630, 8, 9982, 5, 10903, 3206, 7956, 73, 237, 50223, 33201, 465, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 3206, 7956, 73, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 253, 5, 259, 3206, 7956, 165, 10, 10260, 4458, 6666, 25312, 8764, 4, 6, 11, 23, 5198, 26276, 4, 5367, 10308, 4, 23232, 6, 50223, 6101, 2381, 116, 456, 22066, 1292, 3877, 12095, 3369, 7807, 2685, 30, 5833, 6411, 681, 47497, 15027, 12031, 6, 5027, 2199, 50223, 1178, 193, 1197, 1301, 4, 39, 3206, 7956, 165, 19, 4997, 2464, 4427, 1068, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 50264, 1182, 50276, 40692, 12095, 3369, 1182, 50277, 1182, 50265, 1182, 48870, 19594, 50191, 5, 50223, 253, 5, 328, 1190, 32718, 9334, 46928, 23, 40692, 12095, 3369, 9, 2630, 2968, 4, 39, 4503, 7, 50223, 190, 20595, 6, 6385, 1384, 681, 47497, 5, 40692, 12095, 3369, 10, 12719, 47240, 8118, 185, 9327, 31625, 6, 10, 11065, 22678, 1848, 50223, 489, 4462, 63, 5, 50223, 253, 5, 266, 34124, 7306, 400, 9, 6387, 4, 13, 40692, 12095, 3369, 438, 91, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832570
2
[ 0, 265, 20085, 14735, 1292, 3877, 12095, 3369, 6, 50209, 2800, 8, 265, 50223, 52, 12802, 10399, 1292, 3877, 12095, 3369, 1182, 50189, 22288, 5, 93, 225, 1402, 654, 13164, 1672, 66, 25109, 221, 25773, 7600, 2506, 1889, 7, 50223, 4016, 4989, 12095, 3369, 6, 50209, 2800, 14, 17572, 19858, 6654, 1292, 3877, 12095, 3369, 50191, 5, 50223, 196, 5, 253, 5, 328, 47434, 180, 18, 38067, 1292, 3877, 12095, 3369, 4, 93, 1292, 3877, 12095, 3369, 10, 11065, 22678, 1848, 17191, 63, 4, 50223, 50189, 22288, 5, 225, 1402, 654, 13164, 1672, 37, 10, 10260, 482, 60, 14222, 27404, 16144, 4687, 4179, 731, 50191, 4, 50223, 196, 5, 253, 5, 266, 14009, 3206, 7956, 2042, 4458, 6666, 3206, 31916, 8688, 346, 7, 24066, 17936, 5617, 8, 45300, 50223, 16021, 3679, 8, 237, 34124, 348, 5, 267, 10413, 832, 4458, 87, 194, 34345, 17001, 3377, 34124, 7306, 400, 26445, 679, 50223, 42424, 1462, 82, 20509, 13709, 8, 3922, 36096, 508, 5, 119, 30, 237, 34124, 348, 5, 50223, 196, 5, 253, 5, 444, 12900, 11850, 3206, 7956, 2042, 2352, 30808, 4458, 87, 194, 3206, 31916, 18, 150, 2957, 734, 29, 13138, 50223, 2348, 1643, 3101, 17, 28599, 43298, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 316, 265, 10, 3206, 7956, 165, 50223, 143, 6305, 2867, 29, 25312, 12274, 5, 50223, 196, 5, 196, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 303, 1377, 2193, 15778, 237, 25312, 48, 30, 1292, 3877, 12095, 3369, 50223, 290, 9866, 319, 1228, 24, 20106, 6, 15, 2955, 5239, 2098, 1333, 27212, 5, 159, 265, 18672, 50223, 1297, 10451, 90, 225, 1402, 654, 13164, 2875, 82, 17905, 11711, 332, 3792, 25312, 33, 93, 9, 223, 6639, 50223, 37442, 654, 13164, 2875, 37236, 19, 39616, 4, 3206, 7956, 165, 10, 10260, 29, 25312, 12274, 5, 50223, 196, 5, 259, 225, 1402, 654, 13164, 1672, 23087, 6, 760, 709, 4, 13, 10, 27023, 1485, 19964, 33, 9836, 4, 95, 55, 21517, 360, 928, 50223, 128, 25670, 8104, 42946, 4, 262, 39, 10, 35663, 1228, 3206, 7956, 453, 30, 4458, 87, 194, 25312, 5, 159, 265, 50223, 9208, 10116, 8452, 225, 1402, 654, 13164, 2875, 82, 17905, 11711, 332, 3792, 25312, 33, 93, 9, 223, 50223, 465, 18087, 225, 1402, 654, 13164, 2875, 37236, 19, 39616, 4, 3206, 7956, 165, 10, 10260, 29, 25312, 12274, 5, 50223, 196, 5, 328, 225, 1402, 654, 13164, 1672, 5764, 7, 8564, 4, 13, 7959, 16406, 1292, 3877, 12095, 3369, 12698, 7912, 3206, 7956, 165, 5, 3206, 7956, 165, 10, 50223, 143, 6305, 2867, 2931, 303, 15778, 1157, 7959, 16406, 1292, 3877, 12095, 3369, 2290, 33, 10284, 40692, 50223, 1607, 183, 3369, 23, 1322, 5, 50223, 196, 5, 266, 225, 1402, 654, 13164, 1672, 23087, 4, 13, 373, 19225, 28095, 237, 25312, 50244, 50223, 196, 5, 266, 5, 253, 21222, 1042, 9843, 73, 1154, 4, 517, 1154, 33, 13818, 17556, 1648, 7365, 9, 4458, 87, 194, 50223, 96, 31916, 4, 50223, 196, 5, 266, 5, 196, 169, 225, 1402, 654, 13164, 11890, 18599, 4458, 87, 194, 34345, 11334, 30, 6123, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
4832570
3
[ 0, 869, 926, 5, 24766, 2212, 50223, 17893, 21162, 42015, 287, 3507, 34124, 1338, 9, 4295, 407, 33884, 41090, 28913, 6, 50223, 14541, 168, 19088, 5, 34124, 7306, 400, 9, 6387, 4, 13, 2680, 9818, 9661, 50223, 4724, 597, 3729, 10675, 11044, 869, 926, 4, 39, 37, 10, 562, 23225, 73, 4, 10, 30521, 24333, 50223, 190, 3331, 4, 8, 648, 21, 59, 2680, 1520, 5455, 2494, 33, 5204, 533, 3729, 9661, 237, 50223, 33201, 465, 5, 50223, 444, 5, 444, 34124, 7306, 400, 9, 23, 10451, 407, 4, 13, 306, 17571, 23402, 15, 237, 25312, 240, 19291, 52, 2384, 50223, 190, 43064, 185, 12114, 103, 1338, 22376, 5, 550, 1629, 32978, 15630, 15, 237, 25312, 31, 14890, 3805, 50223, 4468, 436, 5, 50223, 444, 5, 497, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 34124, 1032, 67, 102, 14039, 1214, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 50223, 34827, 98, 4, 13, 1724, 237, 1157, 8495, 43, 25371, 6, 36660, 25693, 4, 149, 14043, 5, 50223, 444, 5, 528, 695, 702, 11396, 13546, 1073, 237, 25312, 31, 15041, 28090, 50244, 50223, 444, 5, 528, 5, 253, 28250, 1186, 2018, 4458, 87, 194, 34345, 6, 14728, 10627, 1292, 3877, 12095, 3369, 50223, 444, 5, 528, 5, 196, 1190, 7787, 679, 24319, 50223, 32, 2612, 189, 38, 29783, 4, 864, 387, 5, 10582, 5, 1508, 2659, 50223, 50264, 225, 1402, 654, 13164, 1672, 1182, 50265, 1182, 50244, 50223, 50264, 3206, 7956, 165, 1182, 50265, 1182, 50244, 50223, 315, 8049, 5, 415, 214, 16934, 45981, 1178, 14428, 153, 50223, 467, 48451, 50223, 50264, 15650, 37707, 325, 4871, 5615, 1182, 50265, 5176, 5, 8983, 5243, 19331, 50223, 29982, 1350, 2070, 50223, 50264, 11046, 4776, 5865, 35080, 12, 5, 199, 5, 143, 5, 1182, 50265, 1182, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]