Search is not available for this dataset
input_ids
sequence
token_type_ids
sequence
attention_mask
sequence
labels
sequence
[ 101, 1103, 2425, 7649, 1104, 1103, 5294, 1108, 1106, 11755, 5402, 1104, 11954, 1111, 2076, 123, 17972, 1105, 20606, 20636, 15745, 1506, 1672, 6623, 1105, 5237, 2114, 119, 117, 2527, 1529, 1107, 1103, 11552, 118, 123, 8539, 117, 1107, 1134, 1231, 20064, 12233, 2233, 1125, 1151, 4465, 117, 1127, 4022, 1106, 2194, 1292, 2233, 1111, 1142, 3622, 119, 2509, 2527, 1114, 1231, 20064, 12233, 2233, 3626, 1118, 9584, 5710, 3121, 25524, 3864, 1194, 2357, 3232, 1137, 3783, 3403, 1145, 1127, 4022, 1106, 8681, 2233, 27948, 119, 1142, 3622, 7203, 1113, 2551, 2527, 1121, 1421, 2182, 1115, 1125, 1231, 20064, 12233, 2233, 1118, 176, 23857, 119, 6635, 4079, 21606, 1580, 1201, 117, 1259, 1343, 1114, 1227, 17972, 1105, 1114, 176, 22077, 2165, 1231, 11681, 1233, 6810, 1105, 1120, 1655, 1141, 4929, 1104, 176, 1193, 2093, 8191, 117, 1127, 1529, 119, 1155, 2527, 1127, 4092, 1118, 7514, 15040, 3189, 8190, 1105, 1127, 3303, 2452, 1106, 1103, 11156, 1104, 1119, 3447, 10223, 1182, 119, 1231, 20064, 12233, 1108, 5667, 1112, 1675, 1137, 10040, 1111, 3288, 3622, 119, 1187, 2233, 1127, 1907, 117, 1343, 1114, 1231, 20064, 12233, 1127, 1748, 5667, 1112, 1343, 1515, 10298, 1664, 1643, 13166, 25052, 5838, 4267, 22377, 2941, 1231, 20064, 12233, 113, 183, 1643, 23632, 114, 117, 10496, 183, 1643, 23632, 117, 8828, 183, 1643, 23632, 117, 5199, 183, 1643, 23632, 117, 1137, 5250, 14430, 15306, 4267, 22377, 2941, 1231, 20064, 12233, 113, 185, 23632, 114, 1359, 1113, 1103, 1869, 2136, 1118, 2510, 2527, 1606, 1103, 5847, 1586, 7174, 1402, 5393, 3001, 113, 1627, 114, 117, 5847, 1346, 3252, 4267, 22377, 2941, 1231, 20064, 12233, 2025, 3001, 113, 1406, 114, 117, 1137, 1103, 175, 25455, 1810, 2530, 113, 1626, 114, 119, 3001, 17048, 1568, 5057, 10298, 183, 1643, 23632, 117, 3001, 21786, 1571, 1137, 1103, 175, 25455, 1810, 2530, 170, 1475, 5057, 10496, 183, 1643, 23632, 117, 3001, 27993, 1559, 1137, 1103, 175, 25455, 1810, 2530, 170, 1477, 5057, 8828, 183, 1643, 23632, 117, 3001, 1851, 24239, 1137, 1103, 175, 25455, 1810, 2530, 170, 1495, 5057, 5199, 183, 1643, 23632, 117, 1105, 3001, 2539, 21500, 1137, 1103, 175, 25455, 1810, 4473, 170, 1527, 1105, 171, 1475, 1830, 1527, 5057, 185, 23632, 119, 1103, 1509, 1231, 20064, 12233, 176, 23857, 1111, 1296, 14031, 1108, 1359, 1113, 1103, 12645, 1107, 1103, 1167, 8669, 4634, 2552, 119, 1103, 2425, 9386, 1215, 1107, 1142, 2025, 1108, 17972, 118, 2747, 1231, 20064, 12233, 117, 1134, 1195, 3393, 1112, 8828, 1137, 1167, 5199, 3001, 1104, 1231, 20064, 12233, 119, 1155, 2551, 2527, 7140, 13441, 20636, 117, 1105, 1565, 2527, 1115, 7140, 170, 1475, 1665, 1215, 1344, 118, 2099, 6161, 22572, 18885, 22556, 117, 1104, 1134, 1421, 1215, 170, 17972, 1654, 1105, 13522, 3443, 113, 173, 19515, 1204, 114, 118, 14006, 3919, 4164, 113, 126, 117, 1367, 117, 1489, 117, 1405, 117, 1407, 114, 119, 22760, 1104, 17972, 118, 2747, 1231, 20064, 12233, 1108, 8600, 1118, 122, 114, 121, 119, 126, 118, 2587, 14662, 1104, 176, 1193, 2093, 7257, 5252, 1105, 123, 114, 191, 24874, 14964, 2897, 113, 18699, 6635, 1154, 1406, 7808, 6956, 2114, 114, 1104, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 2430, 1231, 118, 17459, 1103, 2398, 1206, 176, 1193, 2093, 8191, 1105, 4267, 22377, 2941, 1231, 20064, 12233, 119, 1844, 1902, 1105, 4069, 7921, 3303, 170, 2233, 118, 4528, 1158, 3622, 1104, 2551, 2527, 1121, 1421, 2182, 1114, 3140, 117, 5073, 1495, 6635, 4079, 21606, 1580, 1201, 1114, 176, 22077, 2165, 1231, 11681, 1233, 6810, 119, 1103, 2398, 1206, 17972, 118, 2747, 1231, 20064, 12233, 113, 3393, 1112, 8828, 1137, 1167, 5199, 1231, 20064, 12233, 114, 1105, 1210, 176, 1193, 2093, 7257, 5252, 113, 2698, 1158, 13441, 20636, 164, 175, 1643, 1403, 132, 183, 134, 3746, 117, 3746, 1475, 166, 117, 123, 118, 177, 2112, 9619, 20636, 6829, 13441, 20636, 164, 123, 118, 177, 185, 1403, 132, 183, 134, 1626, 117, 3081, 1527, 166, 117, 102 ]
[ 101, 1103, 2657, 3002, 1104, 23689, 4420, 11534, 1114, 1231, 20064, 27184, 7903, 1120, 14516, 6094, 1233, 1569, 2755, 1482, 112, 188, 2704, 1206, 8943, 1816, 1105, 14516, 6451, 5521, 3169, 1384, 1127, 18675, 1193, 2376, 119, 1103, 12645, 1104, 1231, 20064, 27184, 7903, 1108, 1359, 1113, 16673, 11769, 17439, 7654, 11828, 20739, 117, 3254, 18505, 1106, 3702, 8944, 117, 1105, 18737, 2142, 9543, 9505, 119, 1103, 2016, 1108, 14758, 1114, 187, 118, 174, 5393, 1105, 1103, 1835, 5393, 1104, 1231, 20064, 27184, 7903, 113, 178, 1665, 1197, 114, 119, 1852, 12645, 1104, 1231, 20064, 27184, 7903, 117, 170, 3575, 8364, 20370, 14377, 1105, 6028, 14884, 1127, 1982, 1106, 17459, 27410, 27154, 8419, 4863, 119, 1104, 1103, 4420, 11534, 1114, 1231, 20064, 27184, 7903, 117, 4420, 1150, 1125, 1151, 5165, 1114, 2425, 22572, 5521, 20939, 1114, 1137, 1443, 1103, 4612, 1104, 1672, 1469, 20340, 4069, 1127, 2700, 1105, 1529, 1107, 1142, 2025, 119, 4420, 2133, 24309, 1127, 1353, 1105, 1682, 1106, 1129, 5165, 1114, 1469, 20340, 4069, 2041, 1127, 1136, 1529, 119, 4420, 1114, 8510, 2554, 1104, 27410, 27154, 8419, 4863, 1137, 1114, 2554, 1104, 3908, 13335, 5552, 4973, 1120, 12645, 1127, 1145, 12728, 119, 4420, 1150, 1125, 3468, 1106, 13971, 2425, 4035, 21977, 19094, 2116, 1170, 17213, 6145, 1104, 1103, 1907, 3252, 6665, 1105, 1147, 5250, 25566, 8830, 1127, 1145, 1136, 1529, 1107, 1142, 2025, 119, 1103, 22572, 5521, 12858, 5970, 3186, 16065, 1665, 6716, 1179, 4227, 1104, 170, 1492, 118, 5120, 4612, 1104, 172, 1548, 1643, 16236, 1394, 113, 1610, 4043, 1643, 16236, 1394, 1107, 1199, 4420, 114, 117, 3084, 4184, 2155, 3269, 117, 1105, 191, 1394, 1665, 12937, 2042, 117, 1134, 1110, 1215, 1107, 1103, 3252, 1104, 2129, 5604, 1449, 24309, 164, 129, 117, 1407, 118, 1406, 166, 119, 1126, 11769, 17439, 7654, 11828, 22258, 8179, 1108, 1694, 1719, 1113, 1126, 1149, 27420, 3142, 1137, 1223, 1704, 1126, 2556, 27300, 1120, 1103, 2150, 1104, 1296, 5120, 2452, 1106, 1103, 5351, 112, 188, 3879, 119, 19148, 117, 1451, 5351, 1108, 17428, 1118, 170, 185, 24795, 1113, 27427, 4857, 1111, 1936, 16798, 3154, 119, 1103, 22572, 5521, 20939, 6716, 1179, 1108, 2014, 1106, 6716, 1179, 123, 1191, 1103, 14601, 2799, 170, 10298, 2593, 1106, 1103, 3501, 6716, 1179, 1137, 1191, 16798, 3154, 117, 1216, 1112, 24928, 7880, 10595, 10649, 22308, 1183, 117, 1127, 11168, 119, 1103, 22572, 5521, 20939, 6716, 1179, 1108, 2014, 1106, 6716, 1179, 124, 1191, 1103, 3252, 2593, 1598, 1106, 1129, 10298, 1105, 1191, 3213, 1104, 1103, 14601, 1137, 1207, 26052, 1127, 11168, 2693, 3252, 1719, 1114, 1103, 3501, 6716, 1179, 1137, 6716, 1179, 123, 119, 1103, 6716, 1179, 1108, 1145, 5847, 2452, 1106, 1103, 4420, 112, 1704, 3879, 1105, 1191, 1251, 16798, 2629, 1104, 170, 2747, 22572, 5521, 12858, 5970, 3186, 16065, 1665, 3677, 1108, 6321, 119, 1469, 7606, 1216, 1112, 1103, 9019, 20939, 117, 5354, 20939, 117, 1105, 10221, 6307, 20535, 13830, 6840, 1108, 1896, 5763, 1113, 1103, 2781, 1104, 1296, 14601, 1170, 1296, 5120, 1104, 22572, 5521, 20939, 119, 1103, 9019, 20939, 1108, 1694, 1107, 4420, 1114, 24309, 1114, 170, 2259, 1750, 1190, 124, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3007, 2430, 17459, 1103, 23891, 1104, 2425, 22572, 5521, 20939, 3490, 1114, 1469, 7606, 1107, 1103, 3252, 1104, 1231, 20064, 27184, 7903, 1116, 1136, 7299, 1895, 1114, 170, 1423, 20340, 3442, 119, 4069, 7921, 1982, 170, 18675, 3481, 3189, 1104, 23689, 4420, 11534, 1114, 1231, 20064, 27184, 7903, 119, 9229, 118, 1421, 1257, 1107, 3882, 4420, 1125, 24309, 1136, 7299, 1895, 1114, 170, 1423, 20340, 3442, 1105, 1460, 2425, 22572, 5521, 20939, 3490, 1114, 1469, 7606, 1112, 1834, 119, 2686, 8928, 1766, 1654, 1105, 2552, 22212, 1108, 3890, 1107, 3236, 1104, 1103, 2625, 1257, 132, 1103, 9750, 1104, 184, 11702, 8115, 1108, 3993, 119, 4376, 110, 1606, 1103, 24181, 1643, 4371, 118, 1143, 2852, 3442, 119, 5808, 118, 1210, 1104, 1103, 2625, 1257, 1127, 1372, 173, 102 ]
[ 101, 5289, 118, 27629, 1197, 6158, 1110, 1126, 1696, 15044, 15960, 1104, 1610, 4043, 16710, 4247, 1215, 1111, 1103, 1707, 1104, 178, 119, 170, 119, 6302, 1126, 19419, 117, 10873, 3150, 24266, 4704, 117, 1783, 20324, 3881, 117, 6302, 118, 6302, 14752, 1116, 1105, 6302, 26226, 1116, 117, 1112, 1884, 4419, 5194, 8588, 1105, 1112, 15600, 1200, 1107, 1242, 22233, 10164, 1105, 26787, 3881, 1215, 1107, 2058, 1105, 1812, 1459, 164, 122, 117, 123, 166, 119, 2113, 15447, 2316, 16394, 1121, 5289, 117, 9279, 1112, 17697, 19164, 1116, 1169, 1129, 5165, 1112, 1884, 6643, 13293, 118, 4267, 20623, 8788, 2344, 119, 14105, 12132, 2766, 1104, 123, 5644, 1105, 6146, 1104, 122, 5644, 1532, 16478, 4065, 1229, 23638, 113, 5644, 114, 1105, 6146, 5644, 1132, 1103, 4267, 20623, 4253, 4065, 119, 1272, 1104, 1103, 2915, 1104, 1610, 16430, 17960, 170, 16341, 177, 19694, 8766, 8868, 1116, 1107, 5289, 118, 27629, 1197, 6158, 117, 1175, 1110, 170, 1444, 1111, 1157, 15156, 1106, 6268, 2578, 2914, 1111, 2379, 3750, 119, 1844, 1113, 1103, 7288, 1104, 5847, 2113, 21376, 15804, 16394, 1121, 5289, 117, 2446, 1149, 1111, 1242, 1201, 1107, 1103, 8918, 1104, 8117, 1104, 8755, 7220, 2755, 1104, 2815, 1107, 185, 6726, 1144, 1521, 1106, 1103, 8468, 6639, 18227, 1104, 3442, 7914, 1103, 1634, 1104, 1610, 16430, 17960, 1785, 1104, 5289, 118, 27629, 1197, 6158, 119, 15156, 1104, 5289, 118, 27629, 1197, 6158, 1114, 21176, 1116, 7751, 1145, 5409, 1157, 1372, 5239, 1105, 4625, 119, 1103, 2447, 1105, 3418, 1104, 2607, 12864, 1113, 5297, 2401, 1104, 1103, 182, 5412, 17792, 1105, 1157, 2971, 119, 5297, 2401, 1110, 170, 5318, 2626, 13170, 4625, 1104, 1296, 1104, 1103, 5644, 1104, 2113, 15447, 1179, 118, 21176, 9116, 1105, 7344, 1144, 1126, 3772, 1113, 1103, 5417, 1106, 1532, 170, 2747, 2401, 1104, 170, 1549, 5239, 117, 1113, 1134, 1107, 1885, 1157, 4625, 12864, 164, 4589, 166, 119, 1272, 1104, 16244, 4625, 1104, 6158, 118, 21176, 7759, 1116, 117, 1122, 1156, 1129, 8050, 9356, 1895, 1106, 4031, 1103, 12435, 1106, 1329, 5671, 21176, 1116, 1111, 1103, 15156, 1104, 1103, 6158, 119, 1122, 4501, 1106, 1103, 3403, 1111, 1207, 4884, 1105, 4069, 1104, 10540, 1104, 1147, 16358, 3702, 19438, 1785, 1105, 4048, 4625, 119, 1141, 1104, 1172, 1132, 17599, 21442, 2527, 117, 1134, 1505, 2418, 1648, 1107, 1103, 9220, 1104, 1103, 2401, 1105, 1884, 6643, 13293, 9397, 1104, 2113, 15447, 2316, 1105, 2113, 15447, 1179, 118, 21176, 2344, 117, 1259, 6158, 118, 21176, 9116, 119, 1107, 1103, 2527, 1104, 2113, 15447, 1179, 118, 21176, 2344, 117, 23896, 12238, 14797, 17599, 15300, 1110, 1215, 117, 2521, 1111, 1103, 10540, 1104, 21176, 118, 19164, 3881, 164, 11084, 1495, 166, 119, 1649, 117, 1175, 1110, 1185, 2418, 1718, 1107, 1103, 10540, 1104, 6158, 118, 21176, 9116, 1114, 1103, 1329, 1104, 1216, 17599, 15300, 119, 1103, 6457, 1104, 1142, 1250, 1108, 1106, 4959, 1103, 10345, 1104, 23896, 12238, 14797, 17599, 15300, 1111, 1103, 10540, 1104, 1103, 2401, 1104, 5289, 118, 27629, 1197, 6158, 9116, 1114, 2700, 5671, 21176, 1116, 1105, 1106, 2025, 1147, 2933, 1113, 6158, 4625, 119, 1103, 7158, 3881, 1215, 1107, 1142, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1107, 1142, 1250, 117, 1103, 2686, 1104, 2527, 1113, 1103, 10540, 1104, 1884, 6643, 13293, 2401, 1104, 5289, 118, 27629, 1197, 6158, 9116, 1114, 2700, 5671, 21176, 1116, 1118, 23896, 12238, 14797, 17599, 15300, 119, 1111, 6158, 118, 21176, 9116, 4051, 8359, 1568, 192, 1204, 110, 5671, 21176, 117, 2991, 4777, 1553, 117, 1884, 4419, 2860, 1105, 3438, 1104, 5644, 22233, 4063, 10354, 1513, 1107, 1106, 19224, 1673, 1105, 186, 14846, 27719, 1162, 1127, 2446, 1149, 119, 1103, 2686, 5057, 1115, 6158, 118, 21176, 9116, 1169, 1129, 5165, 1112, 17599, 4638, 25710, 27054, 2285, 2344, 117, 1884, 6643, 13293, 1105, 16516, 20695, 2217, 117, 2412, 25988, 6029, 4267, 20623, 8427, 1104, 9150, 2766, 1104, 21176, 23639, 16071, 9016, 21025, 1116, 1105, 1930, 1104, 5644, 1104, 5289, 102 ]
[ 101, 1954, 4884, 1107, 170, 1665, 1233, 6059, 1138, 1151, 2628, 1114, 26192, 1263, 118, 1858, 2686, 1107, 1103, 2656, 1104, 4420, 119, 1649, 117, 1175, 2606, 170, 5602, 18005, 117, 1146, 1106, 1476, 110, 1104, 4420, 117, 1114, 8362, 28027, 1548, 8057, 9363, 1183, 13950, 164, 123, 117, 128, 166, 119, 4418, 117, 4420, 2592, 2645, 8616, 1106, 9967, 1348, 20482, 1105, 1862, 1106, 2166, 1634, 1104, 3246, 164, 124, 117, 1275, 166, 119, 1122, 1144, 1151, 3228, 1115, 170, 1167, 1126, 10024, 7257, 1348, 3136, 1106, 9176, 1103, 1560, 170, 1665, 1233, 19768, 1336, 5257, 1292, 4420, 164, 125, 117, 1542, 166, 119, 1199, 5752, 1138, 11971, 6544, 170, 1423, 176, 15371, 1107, 170, 1700, 2739, 1106, 1103, 23455, 175, 5521, 17536, 15708, 1104, 1103, 170, 1665, 1233, 164, 1489, 117, 1405, 166, 119, 1649, 117, 1122, 1110, 1136, 1936, 1106, 3106, 9176, 2999, 5656, 15190, 14494, 7376, 1114, 170, 1423, 176, 15371, 117, 8334, 1104, 1103, 1700, 164, 1492, 117, 1479, 166, 119, 1103, 2702, 15119, 10442, 5531, 113, 173, 21238, 114, 1111, 170, 1665, 1233, 10442, 8469, 1120, 18306, 1103, 170, 1665, 1233, 19768, 1114, 1157, 1160, 15119, 1116, 1105, 1110, 8289, 5587, 164, 1429, 117, 1542, 166, 119, 1126, 10024, 7257, 2527, 1138, 7160, 1103, 2915, 1104, 1160, 8458, 15119, 1116, 1439, 1103, 170, 1665, 1233, 117, 1103, 22904, 10771, 16418, 1233, 113, 1821, 114, 1105, 1103, 14525, 14995, 4412, 113, 185, 1233, 114, 15119, 164, 122, 117, 129, 166, 119, 1780, 1122, 1110, 4742, 1104, 170, 27466, 8223, 17489, 117, 1103, 2702, 15119, 6136, 1104, 1103, 170, 1665, 1233, 1110, 2412, 3134, 1112, 1126, 1126, 10024, 7257, 2235, 1111, 4287, 1103, 2703, 2401, 1105, 3053, 1104, 1103, 181, 13499, 1880, 164, 127, 117, 130, 166, 119, 1103, 1821, 15119, 1510, 15574, 1116, 1103, 185, 1233, 15119, 117, 1105, 1122, 1336, 2845, 1115, 1178, 1141, 15119, 1110, 1675, 1443, 5784, 11820, 119, 1103, 2273, 1104, 1142, 2025, 1108, 1106, 5594, 1103, 2915, 1104, 1103, 2702, 15119, 2401, 1121, 1126, 1893, 8167, 2155, 22258, 1553, 1104, 2458, 117, 1105, 1106, 17459, 1103, 2860, 1104, 1472, 10823, 1116, 1107, 5656, 1893, 8167, 2155, 20739, 119, 1195, 19916, 1193, 8600, 2539, 4257, 1219, 2530, 1893, 8167, 2155, 20739, 119, 1107, 1296, 5656, 117, 1103, 2702, 15119, 170, 1665, 1233, 2401, 1108, 17428, 117, 1373, 1114, 1103, 5616, 3965, 1104, 1472, 10823, 1116, 1111, 5173, 2734, 119, 1155, 4257, 1115, 1127, 1529, 1107, 1103, 2025, 1125, 170, 2166, 193, 118, 7586, 1105, 182, 2047, 1107, 1546, 1106, 3013, 1149, 1251, 2418, 2607, 1106, 1103, 6028, 117, 1105, 1106, 4989, 1115, 1103, 170, 1665, 1233, 1108, 9964, 119, 1155, 4420, 1127, 1750, 1190, 2539, 1201, 1105, 1125, 1185, 1607, 1104, 170, 1665, 1233, 3773, 119, 13467, 12754, 1116, 1111, 1103, 2539, 1703, 5174, 8600, 1529, 1955, 2740, 5165, 1111, 1441, 1548, 7867, 9505, 2041, 117, 1626, 5165, 1111, 1893, 20899, 12411, 8009, 2176, 9505, 2041, 117, 1105, 129, 2740, 1104, 170, 3490, 6949, 1104, 1441, 1548, 6697, 1105, 12411, 8009, 2176, 119, 1175, 1127, 1512, 2130, 1105, 2588, 2581, 4257, 117, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1107, 1546, 1106, 5594, 1103, 1893, 8167, 2155, 22258, 2915, 1104, 1103, 2702, 15119, 2401, 1105, 1106, 17459, 1103, 2860, 1104, 1472, 10823, 1116, 1107, 5656, 1893, 8167, 2155, 20739, 117, 1195, 14758, 1103, 1821, 1105, 185, 1233, 15119, 19768, 119, 1195, 19916, 1193, 8600, 1103, 4257, 1104, 2539, 4420, 15819, 1893, 8167, 2155, 22258, 6059, 1111, 3507, 4807, 16037, 1106, 1103, 170, 1665, 1233, 119, 1893, 8167, 2155, 20739, 1108, 1982, 1107, 170, 1160, 10823, 5531, 1606, 1126, 22904, 10771, 8052, 4412, 113, 2393, 1643, 114, 1105, 1126, 22904, 10771, 16418, 1233, 113, 1821, 1643, 114, 10823, 119, 1114, 1103, 1893, 8167, 2155, 16260, 1107, 1103, 2393, 1643, 117, 1195, 1180, 10706, 1126, 1821, 1105, 185, 1233, 15119, 1107, 1743, 110, 119, 12806, 1103, 1893, 102 ]
[ 101, 1242, 6625, 4420, 1114, 6625, 1138, 170, 5233, 2645, 1229, 2288, 1272, 1152, 6613, 1106, 1508, 1147, 2841, 1113, 1147, 1664, 118, 25691, 2211, 16864, 1106, 2773, 8046, 1104, 1147, 3105, 1404, 1475, 119, 4058, 14705, 1496, 1106, 1216, 6246, 1107, 5233, 2912, 1110, 1113, 1103, 2773, 6089, 119, 1256, 1165, 1175, 1110, 1185, 3773, 1121, 4058, 117, 6539, 4058, 1169, 13230, 26499, 2952, 1105, 1934, 2619, 1477, 119, 1272, 1260, 2083, 18472, 1891, 1104, 14310, 3220, 1105, 5233, 2912, 6986, 1103, 3187, 1104, 4058, 117, 1122, 1110, 5409, 1696, 1106, 3870, 11536, 1106, 4609, 3105, 16864, 14310, 3220, 1105, 2013, 1111, 5233, 1495, 119, 2366, 6730, 1104, 3179, 1105, 1111, 14310, 3220, 1105, 5233, 1336, 2773, 14310, 3220, 1105, 5233, 1106, 3843, 4058, 1104, 4420, 1527, 119, 3179, 117, 1107, 2440, 117, 1110, 1227, 1106, 1129, 170, 2914, 2076, 1104, 170, 10771, 15421, 6730, 1111, 4420, 117, 1515, 1103, 16008, 1115, 1122, 1169, 1129, 1982, 6044, 1118, 6103, 5806, 7657, 117, 5625, 117, 1669, 117, 1105, 12877, 1104, 6730, 1111, 7134, 1104, 1296, 5351, 1571, 119, 3055, 8096, 1104, 3179, 2013, 1606, 170, 189, 11613, 11734, 1144, 5666, 1167, 2209, 1112, 1165, 1216, 2013, 1144, 1151, 2103, 1106, 1138, 1618, 3154, 1190, 3179, 1113, 1256, 1747, 119, 1199, 6962, 2103, 1115, 3179, 1113, 170, 189, 11613, 11734, 1110, 3903, 1107, 9248, 5233, 1105, 3179, 2912, 1545, 117, 128, 119, 1114, 2793, 9093, 1104, 7503, 2775, 2648, 117, 1207, 4069, 1104, 14178, 6730, 1216, 11536, 1169, 2773, 2199, 1105, 6251, 1104, 4420, 1107, 3252, 1105, 4607, 1147, 2418, 4226, 1118, 12619, 1172, 1106, 3870, 1672, 2769, 1104, 8249, 5806, 1111, 2513, 1104, 2510, 4420, 1107, 8496, 3958, 119, 8496, 3958, 6653, 170, 2076, 1104, 12196, 14314, 1606, 2775, 8172, 1105, 3594, 117, 1107, 1134, 4713, 1169, 1138, 1601, 118, 1106, 118, 3958, 5758, 1604, 119, 8496, 3958, 2013, 1606, 5173, 13032, 13267, 1103, 6635, 1106, 13971, 1103, 2013, 1229, 3195, 1147, 5172, 1114, 1147, 1319, 1257, 117, 170, 2672, 1115, 6618, 1172, 14878, 1147, 1107, 7409, 28106, 1404, 2057, 2416, 1118, 1404, 3077, 3290, 3421, 1118, 1211, 6625, 4420, 119, 1107, 1901, 117, 2013, 3411, 1112, 170, 20546, 1107, 2327, 6251, 1105, 2099, 1104, 8249, 1118, 1107, 17484, 2199, 1105, 4687, 117, 3558, 2411, 5173, 13032, 1113, 1103, 1871, 1106, 11778, 5968, 1972, 2912, 1580, 119, 1242, 2793, 1844, 1279, 1104, 8496, 3958, 1638, 1114, 2299, 2469, 7706, 2103, 1115, 1216, 1638, 2799, 2418, 3154, 1113, 12048, 1654, 1105, 14501, 1104, 1482, 1114, 21831, 185, 7264, 1183, 1105, 6986, 1107, 1103, 5968, 2912, 1104, 4420, 1114, 2493, 4935, 1320, 3653, 10424, 119, 1343, 3322, 1104, 1638, 1127, 1145, 3903, 1113, 7593, 1104, 3105, 16864, 4226, 1105, 10645, 2418, 8331, 1107, 5233, 1105, 3179, 1104, 6625, 4420, 117, 4000, 1115, 1103, 1638, 1169, 1129, 1215, 1112, 1126, 3903, 3442, 1104, 9108, 14541, 117, 1367, 119, 1112, 170, 2086, 1104, 1166, 9331, 13004, 1104, 1103, 3685, 9108, 4069, 117, 8496, 3958, 2196, 1126, 11731, 1122, 1144, 1106, 1217, 3666, 1107, 1103, 14178, 1104, 6625, 4420, 119, 1649, 117, 5197, 1104, 8496, 3958, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 164, 3007, 166, 1103, 3007, 1104, 1142, 2025, 1110, 1106, 8242, 1103, 3154, 1104, 8496, 3958, 2013, 1606, 11437, 11656, 13645, 192, 6904, 1113, 5233, 1105, 3179, 1111, 6625, 4420, 119, 164, 5174, 1105, 4069, 166, 5808, 6625, 4420, 1114, 6625, 1127, 19729, 3233, 1154, 1160, 6730, 1788, 2114, 131, 8496, 3958, 2013, 113, 183, 134, 1406, 114, 1105, 189, 11613, 11734, 113, 183, 134, 1406, 114, 119, 1103, 5174, 9315, 1147, 1969, 118, 2517, 6730, 1788, 1210, 1551, 170, 1989, 1111, 2022, 2277, 119, 1147, 5233, 1105, 3179, 1127, 7140, 1196, 1105, 1170, 1103, 2335, 1788, 119, 1195, 7140, 1103, 1286, 120, 1268, 2841, 118, 7343, 1105, 1103, 16557, 120, 16530, 2841, 118, 7343, 1111, 5233, 117, 1112, 1218, 1112, 11105, 4065, 117, 8046, 4065, 102 ]
[ 101, 1290, 1103, 4784, 1104, 2848, 8127, 12316, 5132, 1233, 7606, 1107, 1820, 117, 1103, 7300, 2635, 1104, 20844, 1964, 8974, 20932, 1213, 170, 2703, 3919, 5521, 18075, 2176, 1104, 18106, 185, 7111, 1918, 23388, 10799, 1115, 1107, 23034, 14837, 25544, 119, 1103, 2273, 1104, 1142, 14497, 3252, 6716, 1179, 1110, 1106, 5515, 113, 1105, 4731, 114, 14837, 18793, 1105, 1106, 2519, 170, 11810, 1187, 4034, 1104, 1103, 7942, 1132, 1185, 2039, 11552, 1895, 1107, 1103, 1892, 1103, 6905, 1634, 1104, 11432, 2412, 1737, 1969, 26253, 4034, 120, 182, 1233, 113, 177, 9524, 1349, 114, 119, 1126, 5576, 16618, 5822, 1895, 13441, 14837, 6829, 1110, 3409, 9829, 1112, 1103, 13537, 1104, 2510, 20340, 2244, 1105, 1110, 1145, 1215, 7620, 1106, 20046, 3708, 2332, 1107, 1103, 5618, 1104, 20844, 1964, 113, 1679, 6598, 3084, 2393, 119, 1103, 1825, 1690, 1114, 20844, 1964, 1150, 1110, 1682, 1106, 5515, 1142, 1912, 1104, 14837, 18793, 1194, 9382, 8050, 21634, 1169, 1129, 4628, 1112, 170, 1363, 5351, 1105, 3532, 1200, 3970, 1104, 1103, 7173, 5151, 1107, 1147, 2332, 117, 178, 11604, 16776, 1104, 1103, 12133, 1104, 1147, 2491, 1105, 1103, 2567, 14317, 1106, 8050, 21634, 1242, 2833, 1339, 113, 1231, 9745, 1179, 1105, 1143, 23824, 1116, 1384, 114, 119, 1649, 117, 1107, 2793, 1201, 117, 13441, 14837, 6829, 5193, 1144, 1561, 1167, 1190, 1198, 170, 7300, 6806, 1106, 8804, 3252, 2593, 1120, 1103, 2510, 1634, 119, 5672, 117, 2510, 13441, 14837, 6829, 5193, 1110, 1217, 2103, 1106, 1470, 2332, 6421, 1105, 1110, 1215, 1106, 12862, 174, 25786, 5521, 19840, 20946, 10900, 1105, 8804, 1103, 2915, 1104, 1103, 7942, 14998, 113, 21359, 11819, 1811, 3084, 2393, 119, 1107, 2440, 1444, 1104, 3607, 12647, 14089, 11794, 1110, 1103, 1718, 1104, 4884, 1106, 4929, 117, 4520, 1105, 8804, 1661, 14837, 6829, 119, 1142, 1207, 174, 25786, 5521, 19840, 20946, 2815, 17283, 1116, 1103, 2361, 7070, 1104, 7300, 1920, 1105, 1470, 2332, 1250, 117, 2456, 5920, 3243, 1164, 1157, 14755, 119, 1111, 1103, 3007, 1104, 1142, 3342, 117, 1195, 6982, 1115, 1661, 14837, 6829, 1431, 1129, 8600, 1107, 6796, 1106, 1103, 10093, 8297, 1104, 175, 6094, 2599, 7067, 113, 2219, 114, 13674, 1142, 3400, 1106, 3300, 1111, 1103, 3242, 1194, 1134, 6707, 5878, 1616, 2769, 1104, 1540, 22884, 2310, 1154, 3721, 117, 15149, 117, 1105, 18644, 1116, 1106, 3133, 170, 2440, 1912, 1104, 1825, 1105, 1416, 118, 13909, 117, 1133, 1202, 6617, 1513, 1105, 3253, 9789, 119, 6159, 1200, 1105, 3152, 113, 1369, 117, 185, 119, 5519, 114, 5594, 11219, 1785, 1112, 170, 5777, 1104, 10700, 117, 4884, 1105, 8826, 1194, 1134, 1472, 2088, 5622, 1106, 19566, 8473, 4677, 2165, 117, 1105, 1118, 2086, 1104, 1134, 170, 23210, 1104, 6984, 1132, 1628, 1206, 1103, 25946, 1104, 3912, 1105, 1103, 2619, 1104, 2833, 1105, 2114, 119, 1292, 10524, 117, 1107, 1147, 1788, 10734, 1532, 117, 2496, 2626, 1105, 18814, 1113, 1103, 1416, 113, 1105, 2833, 1150, 18742, 1122, 114, 1106, 4607, 1157, 2975, 117, 9319, 117, 6968, 117, 1263, 25769, 117, 2332, 1105, 1177, 1113, 113, 175, 6094, 2599, 7067, 1984, 114, 119, 1292, 10524, 1561, 22233, 8043, 4626, 2165, 1121, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 20844, 1964, 13441, 14837, 6829, 5193, 1144, 1561, 1167, 1190, 1198, 170, 7300, 6806, 1106, 8804, 3252, 2593, 1120, 1103, 2510, 1634, 119, 5672, 117, 2510, 20844, 1964, 13441, 14837, 6829, 5193, 1110, 1217, 2103, 1106, 1470, 2332, 6421, 1105, 1110, 1215, 1106, 12862, 174, 25786, 5521, 19840, 20946, 10900, 1105, 8804, 1103, 2915, 1104, 1103, 7942, 14998, 1606, 4884, 1106, 4929, 1661, 14837, 6829, 119, 1142, 3342, 11053, 1106, 7893, 1566, 170, 20113, 1105, 17794, 170, 2281, 1236, 1104, 1103, 9012, 6185, 1661, 14837, 6829, 119, 1359, 1113, 1103, 21718, 19526, 1250, 1104, 1940, 20492, 175, 6094, 2599, 7067, 117, 2108, 1103, 11219, 1785, 3783, 117, 1142, 3342, 11774, 22987, 1103, 1329, 1104, 1661, 14837, 6829, 1112, 170, 1207, 5564, 1104, 1433, 119, 4619, 1145, 102 ]
[ 101, 1322, 8625, 1116, 11702, 170, 12148, 1596, 1126, 8816, 6834, 1306, 6949, 113, 174, 8997, 114, 1144, 1872, 1154, 170, 25667, 1105, 2265, 4174, 1106, 1501, 6059, 1111, 1103, 3252, 1104, 24716, 170, 12148, 1596, 1126, 8816, 6834, 4206, 119, 174, 8997, 1169, 1129, 2356, 1106, 1242, 4420, 1114, 170, 6736, 19768, 1104, 1103, 170, 12148, 1161, 1105, 14596, 12571, 1893, 15297, 117, 8334, 1104, 3254, 1766, 14598, 2975, 164, 1492, 166, 119, 2693, 1103, 1227, 6548, 1346, 2686, 1104, 174, 8997, 1107, 2538, 1104, 1103, 7234, 1107, 1679, 2660, 3365, 5838, 14471, 117, 2603, 1104, 13522, 1105, 2251, 1104, 2704, 2734, 117, 1242, 4420, 4752, 1231, 118, 9108, 1219, 1103, 2243, 1105, 1263, 118, 1858, 2812, 118, 1146, 1272, 1104, 7791, 118, 2272, 13522, 119, 1111, 1142, 2255, 117, 10900, 1104, 1292, 4420, 1110, 10268, 1106, 4959, 1103, 1263, 118, 1858, 2099, 1104, 1292, 5197, 164, 125, 117, 126, 166, 119, 1272, 1104, 1103, 6099, 22873, 1104, 174, 8997, 1105, 1103, 2569, 1295, 1104, 4420, 1150, 13971, 4321, 26514, 20302, 172, 1204, 113, 182, 1181, 5822, 114, 2812, 118, 1146, 117, 1103, 2070, 8844, 1431, 1129, 4509, 1114, 1103, 1554, 10122, 1104, 1936, 7791, 118, 2272, 13522, 1107, 1546, 1106, 2621, 1147, 1346, 12645, 1105, 3252, 119, 1103, 3007, 1104, 1142, 3342, 1110, 1106, 1675, 170, 10122, 1104, 2112, 118, 174, 8997, 13522, 1112, 1562, 1114, 182, 1181, 5822, 119, 8334, 1104, 1103, 14884, 2511, 1907, 113, 125, 117, 1479, 1137, 3324, 5105, 114, 117, 170, 3528, 118, 16346, 25731, 15624, 3923, 1181, 7626, 1169, 1129, 1982, 1106, 5173, 3708, 1103, 1700, 1104, 1103, 188, 5208, 1204, 118, 176, 15371, 1106, 7063, 11019, 1233, 6617, 11531, 1116, 1105, 1106, 2197, 1103, 1378, 5014, 118, 9927, 8179, 1118, 19752, 1103, 7626, 3884, 1105, 6544, 170, 1805, 1104, 2199, 1107, 1103, 170, 12148, 1161, 1120, 1103, 1634, 1104, 1103, 172, 21091, 7409, 8716, 113, 1191, 171, 4063, 1361, 118, 10066, 3594, 1110, 1215, 114, 119, 5014, 118, 9927, 4351, 1107, 1103, 1893, 19860, 4065, 1132, 3836, 1219, 171, 4063, 1361, 1107, 4487, 7912, 2285, 14546, 1104, 3078, 17668, 1568, 182, 1233, 1104, 178, 5412, 16868, 1344, 118, 6256, 1664, 118, 14469, 1596, 5014, 5143, 117, 8050, 25685, 16468, 1906, 1114, 1126, 14717, 1107, 16811, 1766, 1120, 170, 4235, 2603, 1104, 3236, 182, 1233, 120, 188, 1194, 1126, 22904, 10294, 25422, 6163, 13585, 119, 172, 1204, 7626, 11309, 11934, 1105, 15049, 5811, 9123, 1132, 8292, 1952, 122, 1105, 20497, 1403, 119, 122, 119, 15049, 1431, 1838, 1165, 1103, 8600, 4413, 1138, 1680, 1126, 7891, 1634, 1104, 11769, 7409, 5783, 132, 3335, 117, 1103, 14884, 8513, 1538, 1129, 2510, 2200, 1106, 1103, 5351, 1118, 1606, 171, 4063, 1361, 118, 10066, 3594, 1106, 4821, 1620, 177, 1358, 1113, 1103, 24716, 170, 12148, 1161, 119, 1120, 1103, 1322, 1104, 1103, 1893, 19860, 7626, 117, 8088, 4351, 3378, 1113, 1103, 176, 15371, 1538, 1129, 2888, 117, 1982, 1120, 1655, 2539, 188, 1105, 1146, 1106, 5356, 188, 1170, 5014, 2578, 14546, 119, 1103, 172, 1777, 8179, 1169, 1129, 14348, 1174, 1118, 2112, 1643, 2180, 22371, 1158, 10442, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 13601, 6066, 3269, 19000, 2772, 3254, 18505, 1106, 3702, 8944, 113, 182, 1181, 5822, 114, 1126, 10712, 8944, 5149, 1103, 2530, 1104, 3835, 1107, 1103, 2812, 118, 1146, 1104, 4420, 1170, 1322, 8625, 1116, 11702, 24716, 170, 12148, 1596, 1126, 8816, 6834, 1306, 6949, 113, 174, 8997, 114, 117, 1217, 3903, 1107, 1103, 11432, 1104, 1103, 1554, 10122, 1104, 1936, 13522, 1113, 1241, 170, 27361, 1105, 124, 1181, 4351, 119, 4069, 10681, 3007, 1104, 1142, 3342, 1110, 1106, 3189, 1103, 2999, 172, 1204, 1126, 10712, 8944, 9505, 1104, 1103, 1472, 3322, 1104, 188, 5208, 1204, 118, 176, 15371, 1116, 1105, 1106, 5594, 1103, 2070, 7810, 9505, 1104, 1346, 1105, 1523, 13522, 1170, 174, 8997, 1113, 170, 27361, 1105, 15755, 4351, 119, 170, 4557, 1104, 2740, 102 ]
[ 101, 2967, 188, 10536, 21556, 113, 182, 1116, 114, 1110, 1737, 170, 13306, 22653, 3653, 1104, 1103, 2129, 5604, 1449, 1104, 12365, 4060, 13601, 1673, 4247, 119, 15415, 1104, 3653, 1110, 1211, 3933, 1107, 1685, 22777, 117, 1206, 1406, 1106, 1969, 1201, 1104, 1425, 119, 122, 1780, 1242, 5402, 1104, 182, 1116, 3507, 19790, 16317, 1138, 1151, 8468, 21977, 27893, 117, 1103, 6129, 11019, 25034, 10748, 1132, 1253, 1136, 3106, 4628, 119, 1126, 9455, 11044, 1206, 4801, 5320, 1107, 21989, 19464, 2833, 1110, 4260, 119, 123, 1142, 3400, 1110, 2726, 1118, 170, 6968, 1104, 1844, 9505, 119, 2588, 8362, 2312, 5567, 22928, 1193, 117, 1517, 1103, 3653, 1144, 1872, 117, 1122, 3430, 14497, 117, 1105, 1175, 1110, 1253, 1185, 11200, 119, 1103, 1736, 1104, 1103, 3653, 1169, 1129, 1231, 16046, 4253, 1231, 9084, 1916, 117, 1134, 2086, 1115, 3426, 1114, 4252, 7954, 26281, 1891, 1104, 24928, 11955, 7810, 8006, 7551, 1114, 6461, 1104, 1231, 11234, 119, 127, 1166, 1159, 117, 1292, 1231, 16046, 8830, 1510, 1202, 1136, 3106, 10820, 117, 2020, 1106, 170, 2585, 15868, 23168, 1104, 13996, 119, 1167, 5909, 117, 1170, 7393, 1571, 1201, 117, 1141, 118, 1544, 1104, 4420, 1114, 3288, 1231, 16046, 4253, 1231, 9084, 1916, 3653, 1736, 1209, 3689, 170, 3718, 8706, 3653, 1559, 1115, 1110, 6858, 1118, 170, 8706, 2773, 1104, 13996, 117, 2457, 1104, 1231, 16046, 8830, 1105, 8941, 2416, 1118, 1260, 2083, 18472, 1891, 1104, 3179, 2912, 119, 1178, 1164, 1275, 110, 1405, 110, 1104, 4420, 8245, 170, 2425, 8706, 3653, 1736, 117, 1134, 1110, 3393, 1118, 1120, 1655, 1141, 1214, 3653, 16147, 1121, 15415, 1113, 119, 129, 170, 7300, 1193, 6841, 9318, 113, 172, 1548, 114, 1110, 11534, 1107, 4420, 1114, 170, 1148, 7300, 1856, 5996, 2109, 1104, 182, 1116, 1105, 2554, 1104, 3653, 4267, 11553, 9204, 1107, 2000, 117, 1133, 1136, 1870, 2554, 1104, 4267, 11553, 9204, 1107, 1159, 117, 2456, 13306, 1785, 1104, 3653, 119, 1141, 1104, 1103, 2885, 22328, 1104, 182, 1116, 1110, 170, 1344, 15661, 26468, 1104, 1103, 2379, 3653, 1736, 119, 1229, 1199, 4420, 117, 3966, 1121, 1231, 16046, 8830, 117, 1309, 2541, 1251, 1289, 4578, 1643, 117, 1103, 2656, 1104, 4420, 1209, 4444, 3689, 13996, 1106, 170, 7898, 2178, 1105, 1170, 170, 7898, 1159, 14235, 1170, 15415, 1104, 3653, 119, 1112, 1148, 2602, 1118, 14255, 8057, 9699, 5025, 3084, 2393, 1580, 1105, 1359, 1113, 170, 3400, 1104, 170, 1160, 118, 2016, 3653, 1114, 17811, 24970, 1107, 1103, 1346, 2016, 1105, 4267, 3101, 5613, 24970, 1105, 24928, 11955, 2007, 27054, 6108, 1107, 170, 1248, 118, 3653, 2016, 117, 5837, 6447, 3084, 2393, 3055, 3659, 3023, 5426, 2233, 1113, 1159, 1106, 13996, 23168, 1107, 182, 1116, 131, 1275, 1229, 9355, 1104, 1103, 1148, 2016, 1121, 15415, 1104, 3653, 1235, 3634, 170, 24697, 1104, 180, 12549, 1584, 2391, 13996, 2781, 3418, 113, 173, 3954, 114, 26277, 113, 7671, 1106, 8828, 13996, 114, 16859, 1121, 1750, 1190, 124, 1201, 1106, 1167, 1190, 1405, 1201, 117, 9355, 1104, 4065, 25550, 113, 180, 12549, 1584, 2391, 173, 3954, 124, 1106, 173, 3954, 127, 117, 1103, 2985, 1110, 3393, 1118, 8753, 8362, 8009, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2967, 188, 10536, 21556, 113, 182, 1116, 114, 1110, 170, 1887, 24928, 11955, 7810, 3653, 1114, 4138, 21014, 1105, 22760, 119, 15415, 1104, 3653, 1110, 1211, 3933, 1107, 1685, 22777, 1165, 18222, 1110, 1932, 2439, 132, 1122, 1110, 1104, 13306, 2731, 1105, 117, 1107, 1103, 2656, 1104, 4420, 117, 1122, 1209, 1871, 1107, 23168, 1104, 13996, 119, 1496, 1106, 2445, 1104, 18222, 1107, 4420, 1105, 1920, 5389, 10704, 1112, 1218, 1112, 1344, 11928, 1111, 2657, 3252, 117, 182, 1116, 1110, 1737, 170, 3653, 1114, 1344, 2670, 11904, 1111, 4420, 1105, 2808, 119, 1317, 5557, 1138, 1151, 4092, 1111, 3252, 1104, 182, 1116, 119, 1229, 3252, 1821, 21091, 6533, 3052, 1103, 1736, 1104, 1103, 3653, 117, 1122, 1110, 1304, 18372, 132, 3335, 117, 185, 7111, 1918, 16123, 102 ]
[ 101, 1103, 1246, 1105, 2455, 4001, 1132, 1887, 3911, 1187, 1107, 4487, 118, 4167, 7435, 1137, 4841, 12734, 13064, 3016, 6873, 11806, 1104, 121, 119, 126, 118, 124, 3975, 1132, 1276, 119, 1780, 1157, 1117, 2430, 7810, 9505, 1132, 1218, 118, 1758, 117, 1103, 2070, 7810, 1956, 1104, 22572, 16838, 16219, 188, 12577, 1158, 7903, 1138, 1151, 2103, 1107, 1178, 1374, 2740, 119, 170, 4589, 118, 1214, 118, 1385, 1299, 2756, 1114, 170, 2489, 2008, 3367, 1113, 1103, 16557, 7631, 1104, 1103, 3105, 9973, 1114, 170, 3345, 4035, 5815, 20512, 1166, 1103, 1763, 126, 1201, 164, 2482, 122, 166, 119, 4167, 21943, 7542, 8179, 2799, 170, 3860, 3016, 117, 5093, 126, 124, 3975, 6873, 8722, 2262, 1118, 2999, 2241, 119, 8087, 2527, 1259, 2335, 1892, 5099, 117, 14044, 25669, 8167, 13335, 14300, 22122, 1891, 2603, 113, 13936, 1197, 114, 117, 19968, 3622, 117, 1112, 17482, 10237, 13736, 4487, 2316, 6732, 6530, 113, 1112, 1204, 114, 117, 2393, 7192, 1673, 13736, 4487, 2316, 6732, 6530, 113, 2393, 1204, 114, 117, 1892, 190, 11811, 117, 172, 11811, 6105, 2042, 1127, 2999, 119, 1488, 9597, 8179, 3090, 3216, 117, 16278, 19438, 4600, 3367, 10099, 2324, 125, 119, 126, 124, 123, 3975, 119, 1113, 1202, 8661, 2879, 18737, 22909, 117, 8364, 20370, 4351, 113, 182, 2047, 114, 3090, 170, 125, 119, 128, 123, 119, 130, 123, 119, 123, 3975, 117, 1218, 118, 172, 3161, 19172, 25626, 117, 25338, 23601, 1197, 3367, 1115, 2799, 1119, 25710, 27054, 2285, 11778, 1880, 8941, 1107, 1103, 17963, 3849, 1104, 1103, 3367, 1170, 1107, 4487, 7912, 2285, 5014, 3469, 164, 2482, 123, 166, 119, 22873, 118, 20167, 14377, 113, 173, 10073, 114, 2799, 1877, 1104, 2569, 4344, 7657, 1115, 1127, 1107, 26289, 1104, 170, 3023, 14391, 14601, 164, 2482, 124, 166, 119, 2452, 1106, 1103, 182, 2047, 9505, 117, 1195, 1737, 26181, 11368, 4841, 12734, 13064, 4764, 7903, 2430, 1361, 24309, 1114, 172, 6834, 2941, 1105, 4600, 5644, 1216, 1112, 1126, 10712, 10913, 7903, 1137, 20497, 12725, 10913, 7903, 1137, 1218, 118, 172, 3161, 19172, 25626, 1822, 118, 3654, 2991, 7918, 4764, 9275, 19878, 7903, 1443, 3376, 7918, 4973, 1107, 1412, 12630, 12645, 119, 1272, 1103, 26557, 1785, 1104, 1103, 8241, 1988, 1105, 1119, 25710, 27054, 2285, 4844, 1114, 5014, 11778, 1880, 1113, 182, 2047, 8179, 117, 1195, 12728, 4764, 7903, 119, 3860, 3016, 117, 126, 124, 3975, 117, 4764, 7903, 118, 1176, 3367, 2262, 1118, 2999, 2241, 2112, 118, 5014, 170, 27361, 7930, 118, 26777, 189, 1475, 118, 20167, 4351, 1437, 1218, 118, 172, 3161, 19172, 25626, 117, 25338, 23601, 1197, 3367, 1114, 1119, 25710, 27054, 2285, 11778, 1880, 22873, 118, 20167, 14377, 113, 171, 131, 4645, 114, 5300, 1104, 2569, 18760, 1107, 22873, 117, 170, 4006, 1107, 26289, 1104, 170, 3023, 14391, 14601, 1195, 1879, 1106, 3870, 189, 5082, 12734, 25128, 12685, 119, 1117, 9870, 9779, 7542, 8179, 3090, 170, 1372, 1104, 3652, 117, 1134, 1138, 174, 2155, 4559, 27008, 8031, 172, 25669, 4184, 7580, 1306, 1105, 2366, 1353, 27349, 117, 7799, 174, 18965, 18809, 2916, 118, 1176, 4844, 1107, 1103, 1139, 1775, 7874, 188, 24655, 1161, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 22572, 16838, 16219, 188, 12577, 1158, 7903, 117, 1137, 3216, 14601, 1104, 2241, 117, 1110, 170, 3860, 4054, 117, 1932, 26181, 11368, 7920, 176, 1931, 14601, 117, 1211, 1510, 1562, 1107, 1103, 1246, 118, 1105, 118, 2455, 1805, 119, 4054, 12477, 2646, 15454, 5136, 1138, 1151, 2103, 117, 3337, 5336, 1103, 4252, 7877, 9084, 1905, 119, 1195, 2592, 1303, 170, 1692, 2070, 7810, 1193, 27180, 4419, 170, 12477, 2646, 15454, 15242, 1643, 7580, 1306, 117, 1133, 1117, 2430, 7810, 1193, 118, 9893, 26181, 11368, 4841, 12734, 13064, 22572, 16838, 16219, 188, 12577, 1158, 7903, 117, 19528, 1107, 1103, 16557, 7631, 1104, 1103, 3105, 9973, 1104, 170, 4589, 118, 1214, 118, 1385, 2581, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1535, 1138, 3860, 4780, 2455, 6130, 117, 1134, 1169, 1129, 170, 2425, 2612, 1104, 13306, 18418, 9318, 2272, 1106, 1103, 14310, 1449, 117, 3694, 1107, 2299, 3187, 1104, 13306, 2455, 2489, 1475, 119, 1107, 6796, 1106, 2489, 170, 2025, 1118, 3489, 1200, 1276, 1115, 5073, 110, 1104, 1535, 4330, 8260, 1115, 1132, 1166, 126, 3975, 117, 1105, 1103, 3200, 1150, 5548, 3351, 1344, 8260, 1132, 2103, 1106, 8813, 1121, 2555, 117, 5656, 117, 1105, 1171, 2489, 117, 1112, 1218, 1112, 1126, 13000, 1891, 1104, 1103, 2999, 176, 21263, 6692, 1477, 119, 2452, 1106, 2166, 2527, 117, 3351, 1344, 118, 12781, 1174, 2555, 14719, 1169, 13000, 1103, 12182, 18229, 1105, 9652, 5172, 1104, 1103, 1404, 117, 1105, 1110, 4485, 1112, 170, 2612, 1104, 182, 1361, 10182, 8867, 13622, 21470, 2645, 2272, 1106, 1103, 8340, 1495, 117, 125, 117, 126, 119, 3179, 1107, 1344, 118, 12781, 1174, 5743, 2607, 1103, 25433, 5924, 1104, 1103, 2211, 4252, 7877, 15455, 19365, 117, 3989, 170, 7234, 1107, 10845, 2582, 1813, 22593, 11708, 1766, 6484, 1721, 117, 1105, 1540, 1219, 11105, 4065, 1105, 6986, 1107, 24387, 10744, 4709, 2997, 119, 3179, 1107, 1344, 8260, 6570, 1126, 10828, 15167, 1104, 1103, 2057, 1104, 3367, 1104, 1103, 1404, 1105, 3566, 170, 1167, 15443, 18229, 3402, 1106, 1115, 3317, 1174, 1118, 1822, 118, 12781, 1174, 3179, 1545, 117, 128, 117, 129, 117, 130, 119, 19148, 117, 4900, 1105, 1747, 3943, 2088, 1169, 1730, 1106, 2569, 170, 27361, 2997, 2135, 1103, 9455, 12986, 15581, 4412, 17973, 117, 3694, 1107, 2569, 15685, 1766, 19245, 6484, 14915, 10424, 119, 3179, 1107, 1344, 118, 12781, 1174, 5743, 3133, 1126, 2773, 1107, 1103, 1747, 3943, 2049, 3402, 1106, 3596, 12781, 1174, 5743, 119, 1107, 2749, 117, 1103, 2773, 1107, 1747, 3943, 2049, 1114, 2569, 3976, 1336, 1871, 1121, 10558, 4841, 6163, 1813, 4091, 5250, 9199, 1120, 12781, 4585, 1105, 170, 2251, 4772, 189, 21883, 10008, 5521, 17536, 20097, 1981, 119, 1112, 170, 1871, 117, 8716, 6484, 3246, 6986, 1114, 4138, 12781, 3976, 117, 1134, 2607, 1103, 18229, 1105, 1747, 3943, 2049, 117, 2020, 1106, 19614, 1104, 1103, 1171, 6484, 1107, 1535, 1150, 4330, 1344, 8260, 14541, 119, 1107, 1901, 117, 1103, 3154, 1132, 12477, 22152, 8971, 1114, 2569, 14915, 1104, 1103, 15685, 1766, 6898, 5024, 6130, 117, 1134, 8681, 1106, 14928, 1104, 1103, 8340, 119, 3335, 117, 3351, 1344, 8260, 1111, 1126, 2925, 1669, 1169, 1730, 1106, 1126, 2773, 1107, 18311, 20080, 14196, 182, 1361, 21608, 5332, 14915, 1104, 1103, 181, 25509, 1197, 1105, 172, 1200, 15901, 1348, 8340, 117, 3989, 16639, 1166, 9607, 1105, 18418, 1107, 1103, 8716, 1105, 2455, 6130, 1475, 119, 170, 2793, 2025, 2103, 1115, 3179, 1107, 8260, 10645, 170, 2418, 2773, 1107, 1103, 14915, 1104, 172, 1200, 15901, 1348, 6130, 1107, 8071, 5174, 119, 1142, 2025, 1108, 3303, 1107, 1546, 1106, 11755, 1103, 3154, 1104, 3351, 1344, 8260, 1219, 176, 21263, 1113, 1103, 172, 1200, 15901, 1348, 1105, 181, 25509, 1197, 182, 1361, 21608, 5332, 1107, 4420, 1114, 13306, 2455, 2489, 1105, 1107, 8071, 1535, 119, 7704, 8071, 1535, 1127, 8443, 1111, 1142, 2025, 119, 1126, 1869, 7404, 5765, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 164, 3007, 166, 1103, 3007, 1104, 1142, 2025, 1108, 1106, 8242, 1103, 3154, 1104, 1472, 3976, 1104, 1344, 8260, 1113, 6484, 14915, 1104, 1103, 18311, 20080, 14196, 1548, 172, 1200, 15901, 1548, 1105, 15685, 1766, 6898, 5024, 1107, 8071, 1685, 1535, 119, 164, 5174, 1105, 4069, 166, 7704, 8071, 1535, 1127, 8443, 1107, 1142, 2025, 119, 1106, 11755, 1103, 3154, 1104, 1472, 16291, 1104, 8260, 1113, 6484, 14915, 117, 1103, 18311, 20080, 14196, 1548, 172, 1200, 15901, 1548, 113, 172, 1200, 15901, 1348, 8340, 114, 1105, 15685, 1766, 6898, 5024, 113, 181, 25509, 1197, 8340, 114, 1127, 7140, 1120, 1103, 1159, 1104, 12781, 4585, 1105, 12514, 1228, 1219, 176, 21263, 1113, 1210, 1472, 2975, 113, 6038, 10744, 117, 125, 3975, 1344, 8260, 117, 1105, 1275, 3975, 102 ]
[ 101, 1297, 5363, 10413, 1110, 1621, 1103, 7649, 7448, 1279, 1111, 10099, 2332, 1111, 170, 1825, 117, 2808, 117, 1137, 1416, 119, 1107, 6148, 118, 6543, 117, 1297, 5363, 10413, 1120, 3485, 1111, 3032, 1107, 17462, 22950, 1161, 1108, 3614, 119, 129, 1201, 1134, 1108, 123, 119, 5899, 1201, 1167, 1190, 1115, 1111, 3508, 119, 1141, 2937, 1105, 2570, 118, 1160, 1214, 113, 1617, 118, 1516, 114, 117, 1142, 2332, 4267, 20080, 14405, 2569, 1106, 126, 119, 5615, 1201, 131, 1297, 5363, 10413, 1120, 3485, 1111, 2130, 1108, 5581, 119, 5004, 1201, 119, 1111, 1103, 1362, 117, 1103, 3719, 1107, 1297, 5363, 10413, 1111, 1103, 24549, 1108, 125, 119, 123, 1201, 1167, 1111, 3032, 1190, 3508, 131, 1111, 1539, 118, 1478, 117, 1297, 5363, 10413, 1120, 3485, 1111, 3032, 1108, 5599, 119, 122, 1201, 119, 1439, 1103, 3631, 20046, 8297, 2356, 1118, 1103, 1362, 2332, 2369, 113, 1150, 114, 1107, 1103, 1523, 7177, 117, 2332, 1110, 1167, 1190, 1103, 5884, 1104, 182, 1766, 14598, 1785, 1112, 1122, 2075, 1934, 117, 9189, 1105, 23292, 1218, 16791, 2118, 119, 1199, 5716, 11769, 9044, 1115, 1606, 1103, 3714, 1104, 5178, 118, 2332, 1106, 4929, 2332, 1110, 170, 4366, 3136, 1110, 2332, 1110, 1167, 1190, 1142, 25128, 20489, 3136, 119, 12418, 9238, 1320, 1105, 175, 6851, 2050, 1977, 1174, 170, 3112, 3136, 1134, 1110, 1107, 3709, 1114, 1103, 25128, 12685, 8401, 7301, 12562, 8297, 1872, 1118, 4035, 8863, 119, 4035, 8863, 13674, 1103, 1858, 25128, 12685, 8401, 7301, 12562, 1165, 1119, 1977, 1174, 1103, 7281, 1115, 5351, 1920, 1538, 18831, 1103, 1713, 117, 1404, 1105, 1934, 3750, 164, 4650, 166, 119, 1119, 2475, 1115, 10883, 5351, 1920, 1110, 1136, 5804, 1164, 1103, 6946, 117, 1112, 1168, 5320, 1132, 7808, 2933, 1103, 2332, 1104, 1103, 5351, 119, 1780, 1142, 1108, 1136, 1207, 1272, 1103, 1150, 1125, 1640, 2202, 1142, 117, 1122, 1108, 1103, 4048, 1134, 1108, 1472, 1121, 1103, 2361, 25128, 20489, 3136, 1106, 1103, 2025, 1105, 3252, 1104, 5178, 4420, 119, 11783, 1107, 4035, 8863, 112, 188, 1759, 1127, 1218, 16791, 2118, 117, 1218, 1757, 1105, 3068, 1104, 1297, 1105, 1136, 5804, 1103, 8116, 1104, 1103, 6946, 117, 1134, 16979, 1116, 1176, 12418, 9238, 1320, 1105, 175, 6851, 2050, 1270, 1103, 3112, 3136, 1106, 1103, 2025, 1105, 3252, 1104, 2332, 119, 17344, 1103, 26802, 1104, 1297, 5363, 10413, 117, 1150, 3335, 1872, 5358, 1513, 13996, 10491, 1297, 5363, 10413, 1134, 23290, 1174, 1297, 5363, 10413, 1118, 1295, 1104, 1201, 2097, 1107, 6946, 119, 1103, 7569, 1107, 1103, 1626, 1432, 3335, 1108, 8071, 1297, 1105, 1136, 2251, 1104, 1297, 113, 178, 119, 174, 119, 1297, 5363, 10413, 114, 119, 5358, 1513, 1110, 1103, 1201, 1107, 5178, 2332, 1134, 1110, 20167, 2452, 1106, 20997, 117, 1134, 1110, 1173, 4841, 16550, 1121, 1103, 2637, 2905, 1297, 5363, 10413, 1106, 1660, 1103, 4976, 8071, 1201, 1104, 1297, 119, 1606, 8071, 1201, 117, 9161, 3090, 1115, 1103, 2332, 4267, 20080, 14405, 1206, 1103, 24549, 1107, 17462, 22950, 1161, 1108, 126, 1201, 1107, 1384, 117, 7713, 1115, 2332, 2781, 1104, 3032, 1113, 1903, 1107, 17462, 22950, 1161, 1110, 1618, 1190, 1115, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 1103, 6880, 1432, 1169, 1136, 1267, 1103, 8179, 1104, 2332, 2781, 1104, 9808, 117, 1416, 117, 1482, 1105, 25506, 1116, 132, 1133, 1136, 1111, 3032, 119, 8469, 131, 1954, 2025, 1132, 122, 114, 1106, 11755, 1103, 2332, 2975, 132, 123, 114, 2194, 1126, 174, 25786, 5521, 19840, 20946, 6168, 1104, 4787, 2332, 2975, 1107, 1103, 1314, 1141, 1544, 4967, 113, 1617, 118, 1384, 114, 132, 124, 114, 17459, 2480, 2191, 118, 2103, 6946, 1110, 170, 1363, 4929, 1104, 2332, 2781, 132, 125, 114, 3254, 22662, 1103, 1928, 1425, 1104, 3032, 1515, 2440, 2332, 2975, 132, 126, 114, 20446, 1103, 1928, 1425, 1104, 1217, 5178, 3402, 1114, 1343, 1150, 1132, 1136, 5178, 132, 1105, 127, 114, 15187, 1103, 18741, 1206, 2332, 2781, 1105, 2467, 186, 102 ]
[ 101, 1524, 6758, 1777, 22192, 19885, 1233, 173, 6834, 1643, 22992, 113, 175, 1306, 1181, 114, 117, 1145, 1270, 1301, 20754, 1884, 10436, 9318, 117, 1110, 170, 17676, 193, 118, 5128, 7065, 9318, 1758, 1107, 2540, 1114, 1750, 1190, 1476, 2740, 1758, 1107, 1103, 3783, 119, 1142, 1692, 2592, 1104, 170, 2027, 1114, 175, 1306, 1181, 1110, 2756, 13412, 1106, 1103, 187, 14405, 1104, 1103, 9318, 1105, 1103, 11526, 2846, 1586, 2787, 117, 1134, 1108, 4358, 2374, 1118, 1606, 170, 4612, 1104, 1260, 1775, 4611, 20713, 3080, 10399, 1105, 180, 12405, 9685, 1229, 16593, 20061, 22297, 119, 170, 123, 118, 1214, 118, 1385, 2130, 2027, 117, 170, 1227, 1692, 1104, 175, 1306, 1181, 117, 2756, 1111, 1501, 7234, 1104, 1103, 1286, 5110, 1114, 184, 13894, 12355, 4527, 1104, 175, 5521, 2149, 119, 2952, 8179, 3090, 170, 11226, 1223, 2728, 8212, 10680, 1873, 1104, 129, 4023, 1114, 3289, 28117, 20488, 1766, 9208, 1348, 18431, 117, 184, 11702, 177, 24312, 7854, 25758, 1306, 117, 1822, 1383, 4942, 1105, 170, 2043, 2738, 3678, 1114, 3289, 1257, 119, 1586, 2787, 8179, 3090, 170, 8796, 19471, 19934, 1182, 2794, 1104, 25550, 1182, 1114, 2418, 1231, 8005, 12149, 14298, 1161, 117, 1344, 8893, 185, 5971, 1566, 1114, 12477, 27089, 1665, 17855, 1104, 3307, 119, 1107, 1901, 117, 1131, 1125, 1202, 1733, 4063, 25509, 1197, 188, 2528, 9436, 4863, 117, 185, 10294, 4814, 1610, 2983, 8928, 117, 7125, 1158, 1104, 1263, 6476, 1114, 4267, 19760, 185, 19456, 12377, 1348, 177, 1183, 18299, 22992, 1105, 2967, 4091, 4267, 1116, 27141, 1116, 164, 2482, 122, 166, 119, 3073, 118, 13035, 1892, 11041, 117, 16278, 10542, 2660, 8944, 1105, 2229, 193, 118, 7586, 1127, 1439, 23292, 6263, 119, 1113, 4870, 1106, 1103, 2805, 4041, 117, 16884, 1127, 3387, 1105, 2027, 3073, 118, 7621, 2913, 1111, 126, 1904, 119, 14546, 1260, 1775, 4611, 20713, 3080, 10399, 122, 176, 120, 4023, 1108, 8318, 1111, 1275, 11241, 1105, 1173, 170, 6803, 1107, 17149, 1120, 122, 176, 120, 4023, 120, 177, 1108, 1383, 1111, 1103, 9355, 1104, 1103, 2735, 7791, 119, 180, 12405, 9685, 1108, 8318, 1107, 1107, 13782, 4385, 1104, 126, 17713, 1146, 1106, 1367, 17713, 1235, 1175, 1108, 1185, 2593, 1106, 5139, 7113, 1229, 13291, 20061, 1231, 21240, 119, 1198, 1196, 2904, 2495, 15023, 12443, 20739, 1107, 4487, 7912, 2285, 181, 11368, 13335, 19836, 12135, 2495, 15023, 12443, 20739, 1114, 6159, 1200, 122, 2632, 6275, 2356, 170, 3654, 178, 1964, 1884, 10841, 2158, 1105, 5837, 15296, 2458, 119, 1170, 17307, 6298, 2495, 15023, 2176, 1348, 18776, 117, 1103, 5085, 176, 7841, 2941, 5144, 1377, 1108, 13477, 1174, 1114, 8366, 1348, 181, 11368, 13335, 19836, 1105, 189, 19366, 13836, 1233, 1107, 25098, 1891, 1108, 4358, 1982, 1606, 1126, 8362, 10182, 9845, 125, 6956, 1322, 3329, 19366, 13836, 1233, 7159, 119, 1126, 2556, 27300, 1108, 1598, 1114, 183, 1477, 1186, 1107, 1969, 110, 184, 1477, 1373, 1114, 170, 6803, 1260, 1775, 4611, 20713, 3080, 10399, 1105, 1120, 19366, 8212, 1818, 1107, 17149, 119, 12373, 12921, 3408, 1108, 2136, 1120, 2997, 1827, 1105, 6122, 15597, 1108, 19065, 1219, 23208, 119, 1120, 1103, 1322, 1104, 175, 1306, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1524, 6758, 1777, 22192, 19885, 1233, 173, 6834, 1643, 22992, 113, 175, 1306, 1181, 114, 117, 1145, 1270, 1301, 20754, 118, 1884, 10436, 9318, 117, 1110, 170, 4054, 17676, 193, 118, 5128, 7065, 172, 23851, 3329, 10354, 5552, 6028, 8936, 119, 1103, 8685, 4856, 1103, 1586, 2787, 2635, 1104, 170, 123, 118, 1214, 118, 1385, 2027, 5601, 1121, 175, 1306, 1181, 1114, 2418, 1231, 8005, 12149, 14298, 1161, 117, 6310, 1111, 1558, 1263, 6028, 5663, 2109, 184, 13894, 12355, 4527, 119, 18293, 1114, 170, 4612, 1104, 1260, 1775, 4611, 20713, 3080, 10399, 1105, 180, 12405, 9685, 11983, 170, 2265, 1322, 3329, 19366, 13836, 1233, 1107, 25098, 1891, 1223, 20061, 22297, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1111, 170, 19916, 2025, 1104, 1730, 7401, 1105, 1346, 1718, 117, 1195, 8443, 6391, 1535, 1121, 170, 1730, 188, 10212, 2083, 1411, 1105, 1121, 1126, 25731, 1775, 13541, 1411, 1107, 194, 9610, 2155, 9516, 1465, 1105, 1723, 1147, 1482, 1194, 128, 1201, 1104, 1425, 119, 1107, 1142, 2526, 1195, 4615, 9815, 1206, 7218, 1730, 7401, 117, 3555, 1118, 1103, 1298, 1223, 1103, 1892, 1730, 113, 171, 1643, 1830, 114, 6055, 1159, 7660, 113, 12686, 1665, 1559, 114, 117, 1105, 4810, 117, 1114, 2440, 4517, 1111, 12760, 1730, 112, 188, 18560, 8250, 119, 1103, 1195, 17704, 2879, 4810, 9777, 1111, 1482, 118, 1683, 25550, 1182, 113, 192, 1548, 1665, 118, 25550, 1182, 114, 1108, 8318, 1106, 1476, 1580, 128, 118, 1214, 118, 1385, 1482, 117, 27480, 1104, 102 ]
[ 101, 2967, 188, 10536, 21556, 113, 182, 1116, 114, 1110, 170, 13306, 117, 12365, 4060, 13601, 1673, 117, 26707, 4980, 10655, 1916, 3653, 1104, 1103, 2129, 5604, 1449, 113, 172, 2316, 114, 119, 11124, 8006, 1169, 7907, 5958, 117, 1133, 1211, 3337, 8803, 11477, 117, 14247, 2556, 27300, 117, 176, 21263, 7262, 117, 1137, 5173, 16312, 1116, 119, 9024, 1251, 1298, 1104, 1103, 172, 2316, 1653, 2187, 1169, 1129, 2017, 117, 1463, 1142, 1211, 4521, 1193, 6808, 1103, 1679, 2109, 2227, 4907, 5552, 1653, 2187, 119, 3575, 8175, 6083, 1110, 1887, 117, 1463, 6841, 172, 23851, 1348, 9071, 185, 7264, 1905, 1132, 4054, 5300, 1107, 182, 1116, 119, 2166, 2527, 1138, 3228, 1115, 6841, 172, 23851, 1348, 9071, 185, 7264, 1905, 1107, 182, 1116, 1132, 1167, 3337, 1276, 1112, 11124, 8006, 1190, 1112, 1231, 16046, 4253, 8006, 119, 1621, 6841, 172, 23851, 1348, 9071, 185, 7264, 1905, 1107, 182, 1116, 117, 1103, 3049, 9071, 1110, 1211, 3337, 2017, 113, 125, 119, 129, 110, 114, 117, 1723, 1118, 1103, 5001, 9071, 113, 124, 119, 128, 110, 114, 117, 1105, 1103, 3971, 9071, 113, 122, 119, 121, 110, 114, 119, 2456, 117, 170, 1830, 7641, 17248, 185, 7264, 1183, 1110, 170, 4054, 6841, 182, 1116, 4006, 117, 1719, 1112, 170, 11124, 2951, 1137, 1219, 3653, 4252, 7954, 26281, 1891, 119, 4420, 1114, 170, 1830, 7641, 17248, 185, 7264, 1183, 3417, 1675, 1114, 20866, 13200, 1465, 1852, 10012, 2806, 117, 1105, 8179, 1169, 7063, 170, 3345, 178, 3491, 8009, 16719, 11937, 1231, 18045, 2230, 164, 125, 117, 126, 166, 119, 182, 1116, 1144, 1151, 22512, 1112, 1103, 2612, 1104, 8362, 8009, 16719, 170, 1830, 7641, 17248, 185, 7264, 1183, 1107, 3927, 110, 1104, 2740, 117, 1463, 182, 2047, 1336, 1136, 11552, 3575, 8175, 26052, 1107, 1155, 2740, 119, 1141, 1617, 2025, 11950, 1664, 4487, 25930, 4680, 1104, 3971, 9071, 185, 7264, 1905, 1107, 4420, 17342, 1568, 1201, 1104, 1425, 1276, 182, 1116, 1106, 1129, 1103, 2612, 1107, 1572, 110, 1104, 2740, 119, 1107, 1901, 1106, 182, 1116, 117, 1103, 12630, 12645, 1111, 1126, 170, 1830, 7641, 17248, 9071, 185, 7264, 1183, 2075, 3367, 26052, 117, 181, 26911, 3653, 117, 14837, 8974, 117, 188, 1183, 27008, 6137, 117, 21718, 19878, 7874, 11776, 117, 1105, 26557, 3653, 119, 1303, 117, 1195, 2592, 170, 5351, 1150, 2756, 1114, 170, 8362, 8009, 16719, 6841, 170, 1830, 7641, 17248, 185, 7264, 1183, 1112, 1103, 3288, 2951, 1104, 182, 1116, 119, 170, 1743, 118, 1214, 118, 1385, 1299, 1114, 170, 1763, 2657, 1607, 1104, 177, 24312, 23826, 1988, 1105, 184, 27655, 2756, 1106, 1103, 5241, 2853, 1114, 170, 122, 118, 1285, 1607, 1104, 2702, 4152, 117, 1211, 3289, 1852, 1286, 11937, 2806, 119, 1103, 2702, 4152, 10456, 1114, 4576, 1719, 2552, 119, 1107, 1901, 117, 1119, 1125, 170, 1367, 118, 1989, 1607, 1104, 14247, 2556, 27300, 1104, 1103, 4267, 19760, 1268, 1289, 1105, 17284, 117, 1105, 1103, 3049, 16521, 1104, 1103, 1268, 2555, 119, 3288, 8087, 9505, 3090, 1178, 170, 10496, 5837, 7563, 13335, 25669, 11776, 113, 1429, 119, 124, 1275, 120, 181, 114, 1105, 1185, 1168, 23123, 10024, 13791, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1229, 3575, 8175, 6083, 1107, 2967, 188, 10536, 21556, 113, 182, 1116, 114, 1110, 3860, 1887, 117, 6841, 172, 23851, 1348, 9071, 185, 7264, 1905, 1132, 4054, 117, 2108, 1165, 1152, 4248, 1103, 3288, 11124, 2951, 1104, 170, 1207, 12645, 1104, 182, 1116, 119, 1142, 2592, 4856, 170, 5351, 1114, 1185, 2988, 1607, 1104, 182, 1116, 2133, 6753, 11124, 2951, 1108, 1126, 6841, 170, 1830, 7641, 17248, 185, 7264, 1183, 119, 1126, 23327, 185, 9921, 2042, 8241, 1988, 1108, 1276, 1113, 182, 2047, 1134, 27053, 1114, 1117, 170, 1830, 7641, 17248, 185, 7264, 1183, 117, 1105, 2509, 1664, 19667, 26052, 1113, 182, 2047, 1521, 1106, 170, 12645, 1104, 182, 1116, 119, 1142, 1692, 17798, 1103, 4495, 1104, 6103, 182, 1116, 1112, 1226, 1104, 1103, 12630, 12645, 102 ]
[ 101, 2452, 1106, 1103, 1362, 2332, 2369, 113, 1150, 114, 117, 170, 11476, 1473, 1110, 3393, 1112, 1473, 1104, 170, 1590, 1229, 6391, 1137, 1439, 3565, 1552, 1104, 20776, 1104, 10203, 117, 178, 11604, 16776, 1104, 1103, 9355, 1105, 1751, 1104, 10203, 117, 1121, 1251, 2612, 2272, 1106, 1137, 170, 9705, 1611, 18588, 1118, 10203, 1137, 1157, 2635, 113, 178, 1665, 1181, 118, 1275, 114, 119, 1164, 4850, 110, 1104, 1292, 1535, 1132, 1121, 4297, 1362, 1114, 1166, 3078, 110, 7902, 1107, 170, 2087, 15353, 1105, 1112, 1465, 119, 1103, 3187, 1104, 170, 1590, 5694, 1112, 170, 1871, 1104, 10203, 1105, 2027, 16190, 1219, 1123, 7218, 1110, 1164, 122, 1107, 127, 1107, 170, 2087, 23136, 20300, 3402, 1114, 122, 1107, 1476, 117, 1288, 1107, 2350, 27772, 3186, 119, 10280, 3790, 113, 8362, 114, 2592, 3621, 1113, 17928, 1718, 2273, 118, 126, 4803, 1115, 1376, 5070, 1125, 1151, 1189, 1107, 4841, 118, 21718, 10131, 1179, 170, 2087, 15353, 1187, 1544, 1104, 1155, 11476, 6209, 1321, 1282, 119, 1103, 5070, 2602, 1118, 1103, 1588, 1112, 1811, 2182, 1259, 1107, 7168, 1134, 5756, 1111, 1512, 110, 1104, 1155, 11476, 6209, 1110, 1145, 1136, 7757, 119, 1211, 1104, 1103, 2554, 1111, 11476, 14471, 1110, 3836, 1194, 2704, 2233, 1105, 1661, 1359, 3756, 117, 1134, 1132, 3629, 2426, 1107, 3953, 1877, 117, 6142, 1211, 1104, 1103, 11476, 6209, 1132, 1121, 3738, 1877, 119, 1142, 2025, 1108, 1694, 1106, 15187, 11476, 14471, 1107, 170, 16371, 2657, 2134, 2704, 3629, 1107, 3533, 3953, 1226, 1104, 2466, 12477, 10131, 2737, 4487, 1187, 1415, 2849, 1104, 4420, 1132, 2752, 1121, 3738, 2192, 1104, 2466, 12477, 10131, 2737, 4487, 1105, 1564, 24181, 11782, 1777, 1968, 119, 1142, 2025, 1108, 1694, 1106, 15187, 1103, 1469, 4680, 1104, 11476, 14471, 1105, 5996, 1231, 16418, 1233, 5252, 1106, 4851, 1103, 1269, 119, 1106, 20446, 1103, 11476, 14471, 2603, 1107, 1412, 2704, 119, 1106, 15187, 1103, 174, 25786, 5521, 19840, 20946, 5402, 1104, 11476, 14471, 119, 1106, 15187, 1103, 4680, 1104, 11476, 14471, 119, 1106, 5996, 3242, 1106, 4851, 1103, 2608, 1197, 119, 1106, 20446, 1103, 11476, 14471, 2603, 1107, 1412, 2704, 119, 1106, 15187, 1103, 174, 25786, 5521, 19840, 20946, 5402, 1104, 11476, 14471, 119, 1106, 15187, 1103, 4680, 1104, 11476, 14471, 119, 1106, 5996, 3242, 1106, 4851, 1103, 2608, 1197, 119, 1106, 20446, 1103, 11476, 14471, 2603, 1107, 1412, 2704, 119, 1106, 15187, 1103, 174, 25786, 5521, 19840, 20946, 5402, 1104, 11476, 14471, 119, 1106, 15187, 1103, 4680, 1104, 11476, 14471, 119, 1106, 5996, 3242, 1106, 4851, 1103, 2608, 1197, 119, 1106, 20446, 1103, 11476, 14471, 2603, 1107, 1412, 2704, 119, 1106, 15187, 1103, 174, 25786, 5521, 19840, 20946, 5402, 1104, 11476, 14471, 119, 1106, 15187, 1103, 4680, 1104, 11476, 14471, 119, 1106, 5996, 3242, 1106, 4851, 1103, 2608, 1197, 1412, 2704, 1110, 170, 3533, 118, 3953, 117, 16371, 1920, 2057, 132, 3629, 1107, 1103, 24608, 1226, 1104, 2466, 12477, 10131, 2737, 4487, 119, 1122, 3370, 170, 1415, 1295, 1104, 5991, 16179, 1121, 23662, 15092, 4481, 117, 2425, 2332, 6425, 1121, 3738, 2192, 1104, 2466, 12477, 10131, 2737, 4487, 117, 1105, 1145, 1121, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 174, 25786, 5521, 19840, 20946, 2233, 22383, 1106, 11476, 14471, 1110, 7468, 1107, 1296, 1383, 1146, 1106, 1902, 9108, 1348, 2648, 1106, 7511, 5382, 4851, 1103, 6022, 119, 1142, 2025, 1108, 1694, 1106, 17459, 1103, 11476, 14471, 2603, 1107, 1412, 2704, 117, 1106, 15187, 1103, 174, 25786, 5521, 19840, 20946, 5402, 1105, 4680, 1104, 11476, 14471, 117, 1105, 1106, 5996, 11859, 1111, 8331, 119, 4069, 131, 1142, 1108, 170, 1275, 1214, 18675, 2025, 119, 174, 25786, 5521, 19840, 20946, 2233, 1108, 4465, 1121, 1103, 2704, 8077, 1105, 11476, 14471, 6022, 117, 174, 25786, 5521, 19840, 20946, 5320, 1105, 4680, 12759, 11476, 14471, 1127, 14758, 119, 2686, 131, 170, 1703, 1104, 5356, 11476, 6209, 3296, 119, 1211, 11476, 6209, 3296, 1107, 1103, 1425, 1372, 1104, 102 ]
[ 101, 1246, 1105, 2455, 4816, 6718, 15852, 2765, 1610, 16430, 7903, 113, 177, 2316, 19515, 114, 1110, 1103, 3971, 1211, 1887, 4182, 4529, 117, 1114, 1126, 1903, 126, 118, 1214, 8115, 2603, 1104, 1213, 1851, 110, 113, 122, 114, 119, 2693, 8313, 1107, 1103, 20340, 182, 16848, 16652, 117, 1103, 5250, 25566, 4863, 1104, 1292, 4420, 1144, 1136, 1151, 5409, 4725, 1107, 1103, 1314, 1210, 4397, 119, 6272, 1105, 1241, 23235, 1105, 5427, 2008, 10468, 1329, 1132, 2628, 1114, 2569, 3187, 1104, 4297, 12477, 2646, 12149, 7232, 1104, 1103, 9619, 19421, 1105, 185, 7111, 22093, 113, 123, 114, 119, 3055, 117, 1103, 1648, 1104, 1113, 2528, 19438, 20942, 2108, 6857, 1964, 1107, 1103, 3507, 19790, 16317, 1104, 188, 19515, 1144, 5666, 1103, 6962, 2209, 119, 6857, 1964, 14837, 7865, 117, 174, 1545, 1105, 174, 1559, 117, 1505, 1558, 3573, 1107, 1103, 172, 1200, 15901, 1348, 1112, 1218, 1112, 1137, 4184, 10131, 15023, 2176, 1348, 1610, 16430, 19790, 16317, 119, 1142, 7865, 2496, 1194, 1107, 11179, 16617, 1104, 14601, 17203, 1766, 9077, 117, 185, 24239, 1105, 1231, 20064, 27184, 7903, 113, 187, 1830, 114, 9077, 117, 3694, 1107, 2765, 15642, 2734, 1105, 9047, 113, 125, 114, 119, 3229, 1141, 1104, 1103, 1211, 1696, 9093, 1107, 1103, 1246, 1105, 2455, 1113, 12241, 1166, 1103, 1763, 4967, 1110, 1103, 4453, 1104, 6857, 1964, 2781, 1107, 1137, 4184, 7111, 5730, 2176, 1348, 188, 19515, 1116, 113, 11769, 1116, 19515, 1116, 114, 119, 1122, 1110, 5119, 1115, 6857, 1964, 118, 187, 5971, 1906, 11769, 1116, 19515, 1144, 3527, 174, 25786, 5521, 19840, 20946, 1105, 7300, 9127, 1105, 1122, 1125, 1618, 10706, 1279, 1121, 1103, 184, 6063, 19515, 1116, 1272, 1104, 3655, 1648, 1104, 6857, 1964, 1107, 1664, 118, 1137, 4184, 7111, 5730, 2176, 1348, 1246, 1105, 2455, 4182, 1116, 113, 126, 118, 128, 114, 119, 113, 130, 114, 117, 1105, 181, 15016, 3084, 2393, 119, 1107, 1381, 113, 1275, 114, 1737, 1822, 3084, 19840, 8032, 1596, 1648, 1111, 6857, 1964, 2781, 1107, 184, 6063, 19515, 1116, 119, 3025, 1115, 1930, 1168, 3187, 5320, 1115, 1132, 1253, 3655, 1505, 3573, 1107, 1103, 3507, 19790, 16317, 1104, 184, 6063, 19515, 1116, 119, 1107, 2793, 1201, 117, 1277, 2209, 1144, 1151, 3004, 1106, 1103, 5250, 25566, 5668, 1648, 1104, 6857, 1964, 2781, 1107, 177, 2316, 19515, 119, 1199, 6962, 1138, 1276, 1115, 4420, 1114, 6857, 1964, 11168, 1107, 1147, 4182, 1116, 117, 1138, 1618, 5250, 25566, 4863, 3402, 1106, 1343, 1443, 6857, 1964, 113, 1429, 118, 1405, 114, 119, 12341, 1175, 1132, 2527, 1115, 1138, 1276, 1185, 3719, 1137, 2869, 1200, 5250, 25566, 4863, 1111, 6857, 1964, 2272, 24309, 113, 1479, 118, 1659, 114, 119, 1107, 1142, 2025, 117, 1195, 1138, 10788, 1103, 22760, 2603, 1104, 6857, 1964, 2781, 1107, 4420, 1114, 184, 6063, 19515, 117, 1105, 1157, 7467, 1107, 1103, 12257, 4184, 9779, 7542, 5924, 1104, 24309, 1105, 4420, 5250, 25566, 4863, 119, 14588, 4420, 1114, 12645, 1104, 184, 6063, 19515, 1127, 1529, 1107, 1142, 2025, 1206, 1630, 1105, 1381, 119, 1147, 3002, 1127, 4465, 1121, 1103, 7004, 1104, 2853, 1104, 3507, 4807, 117, 5449, 1104, 10552, 12948, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 16497, 13284, 15852, 2765, 1610, 16430, 7903, 113, 188, 19515, 114, 1110, 1103, 1211, 1887, 12477, 2646, 12149, 7232, 1104, 1103, 9619, 19421, 119, 170, 2398, 1206, 1103, 1769, 185, 11478, 12284, 1918, 7942, 113, 6857, 1964, 114, 8974, 1105, 1103, 5250, 25566, 4863, 1104, 9619, 19421, 188, 19515, 113, 184, 6063, 19515, 114, 1144, 1151, 6352, 1196, 119, 11350, 7921, 10788, 1103, 22760, 2603, 1104, 6857, 1964, 2781, 1107, 4420, 1114, 184, 6063, 19515, 117, 1105, 1157, 3154, 1113, 12257, 4184, 9779, 7542, 5924, 1104, 24309, 1105, 4420, 5250, 25566, 4863, 119, 4420, 1105, 4069, 25461, 1116, 1104, 4698, 1394, 118, 4275, 117, 18311, 16274, 118, 11783, 7918, 5511, 1121, 12620, 1117, 9870, 9779, 7542, 1193, 3659, 184, 6063, 19515, 2740, 1127, 10788, 1107, 1142, 102 ]
[ 101, 1122, 1110, 3555, 1115, 7560, 1209, 1561, 1103, 1248, 1211, 1887, 2612, 1104, 13996, 117, 1397, 1106, 1762, 3653, 1107, 170, 1374, 4397, 119, 1558, 7560, 13974, 122, 1107, 1406, 1234, 1219, 1147, 7218, 119, 1107, 1242, 8708, 117, 2108, 1107, 4297, 2638, 2182, 117, 2520, 1164, 6288, 1177, 10734, 21927, 1116, 1105, 11344, 1132, 1932, 4448, 1112, 7359, 1116, 1111, 6438, 12398, 119, 1216, 15661, 26468, 1107, 7560, 5600, 117, 1112, 2382, 1118, 27466, 7130, 1105, 1117, 8304, 117, 1336, 4248, 2645, 1114, 5754, 1105, 11842, 1897, 1190, 2276, 5408, 1107, 22760, 119, 1122, 3093, 1115, 2466, 5252, 1132, 1136, 10682, 3509, 1111, 1103, 12890, 21517, 1104, 1103, 22760, 1104, 6975, 2109, 11759, 1107, 23656, 23448, 11549, 6623, 119, 1112, 180, 18929, 1399, 2382, 117, 7560, 1110, 1136, 170, 8462, 17123, 9417, 1105, 1103, 3242, 1104, 4287, 1103, 1404, 1105, 1103, 2191, 1132, 1177, 1472, 1115, 1142, 1336, 1730, 1106, 5408, 1107, 15604, 21155, 4184, 9779, 4807, 119, 24928, 4084, 2050, 10436, 1465, 4431, 1106, 170, 23006, 1352, 1105, 1111, 1103, 5144, 6420, 1122, 1110, 5477, 1106, 2037, 1164, 1177, 10734, 11344, 1897, 1190, 1141, 188, 6438, 2781, 119, 1141, 2255, 1111, 1142, 6281, 4267, 1116, 23429, 1336, 1129, 1103, 188, 3121, 14721, 1115, 1110, 4309, 1106, 17123, 8006, 1107, 5144, 6420, 2754, 117, 3402, 1106, 1103, 5236, 10030, 1104, 2952, 11344, 119, 1103, 1150, 14684, 2025, 14758, 4667, 1495, 4420, 117, 1105, 2799, 1115, 4681, 1104, 8169, 1105, 2191, 118, 1231, 1643, 20073, 1127, 1887, 2556, 1107, 171, 2225, 1513, 1105, 19863, 7877, 1348, 1105, 1655, 1107, 21359, 20955, 1179, 117, 1187, 28117, 27804, 1911, 2116, 1108, 4054, 119, 1107, 5014, 117, 1177, 10734, 8006, 1127, 1887, 2556, 1107, 21359, 20955, 1179, 1105, 1655, 1107, 171, 2225, 1513, 1105, 19863, 7877, 1348, 119, 1107, 15941, 5144, 6420, 1821, 26237, 1389, 4420, 117, 6962, 1276, 1115, 1103, 1211, 1887, 11124, 19073, 1116, 1127, 18418, 117, 22233, 4165, 5813, 117, 16320, 117, 21810, 1105, 2489, 119, 1107, 5144, 6420, 2754, 1107, 1134, 17123, 8006, 1132, 1932, 188, 3121, 14721, 26300, 117, 1177, 10734, 8006, 1132, 3134, 1167, 1190, 2904, 8685, 1104, 6438, 8006, 119, 4420, 7799, 1750, 17123, 8006, 117, 1165, 2752, 1106, 170, 2029, 7454, 117, 1190, 1343, 1150, 1127, 3891, 1118, 170, 1704, 2425, 1920, 7454, 119, 181, 6592, 1116, 10347, 22096, 2180, 1105, 1117, 8304, 2376, 170, 1416, 1104, 8492, 2944, 4420, 1114, 1558, 1260, 16568, 11759, 119, 1152, 4379, 1115, 5429, 110, 1104, 4420, 1125, 1120, 1655, 1141, 1177, 10734, 188, 17162, 6451, 4165, 1134, 1108, 3106, 1137, 6320, 6547, 1106, 7560, 119, 171, 23618, 3090, 1107, 1117, 2025, 1115, 1588, 1112, 5895, 1127, 1167, 2620, 1106, 3143, 1147, 1704, 16681, 113, 176, 3491, 114, 117, 1105, 7799, 1177, 10734, 23487, 6006, 1104, 4910, 13632, 1167, 3337, 1190, 1168, 2114, 119, 1152, 1127, 1750, 2620, 1106, 1138, 170, 3037, 4910, 8936, 1190, 1653, 2114, 117, 1105, 1256, 1114, 22082, 4910, 8936, 117, 1152, 1127, 1655, 2620, 1106, 1129, 2752, 1106, 9131, 1920, 1118, 176, 3491, 119, 1113, 1103, 1168, 1289, 117, 1199, 13634, 2799, 1185, 5408, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 1107, 1199, 8708, 117, 1259, 17079, 117, 2904, 7108, 1104, 5047, 14181, 1362, 1110, 1107, 23034, 1174, 1105, 188, 3121, 14721, 26300, 117, 3335, 4006, 4174, 11958, 1104, 2838, 119, 1103, 6457, 1104, 1142, 2771, 118, 2237, 1348, 2025, 1108, 1106, 15187, 1103, 5625, 1104, 1177, 21943, 2734, 1107, 1103, 15941, 4420, 119, 4069, 131, 1103, 1675, 2025, 11561, 2260, 4420, 2752, 1106, 1103, 1149, 27420, 12257, 1104, 188, 14518, 10961, 2755, 1104, 2657, 8614, 117, 1105, 11534, 1114, 1558, 1260, 16568, 11759, 1359, 1113, 173, 6602, 118, 178, 1964, 118, 189, 1197, 119, 1103, 11124, 11344, 1104, 1292, 4420, 1127, 14758, 1194, 17123, 3669, 119, 1103, 11124, 8006, 1127, 3233, 1154, 1210, 1514, 6788, 1259, 4910, 8006, 117, 2489, 117, 1105, 2952, 8006, 102 ]
[ 101, 1664, 118, 16358, 1181, 1403, 4314, 181, 25698, 7903, 1116, 113, 183, 8495, 1116, 114, 3300, 1111, 2324, 2539, 110, 1104, 1155, 181, 25698, 7903, 1116, 1107, 1482, 1105, 25506, 1116, 119, 5153, 183, 8495, 1116, 1132, 16224, 1154, 171, 2149, 2293, 3069, 112, 188, 181, 25698, 7903, 117, 4267, 3101, 5613, 1415, 171, 118, 2765, 181, 25698, 7903, 113, 173, 1233, 1830, 1665, 1233, 114, 117, 181, 25698, 12809, 20519, 181, 25698, 7903, 117, 1105, 1126, 11478, 20519, 1415, 118, 2765, 181, 25698, 7903, 119, 173, 1233, 1830, 1665, 1233, 1110, 6858, 1118, 3860, 1167, 6539, 3908, 2728, 6919, 8685, 117, 1562, 1107, 1146, 2430, 1969, 110, 1104, 1103, 2740, 119, 2425, 6083, 1104, 1103, 181, 25698, 7903, 1104, 1103, 2243, 3811, 1110, 4054, 117, 1114, 1178, 1164, 1407, 2740, 1217, 2103, 1107, 3783, 1177, 1677, 119, 1303, 117, 1195, 2592, 170, 1692, 1104, 173, 1233, 1830, 1665, 1233, 117, 2756, 1114, 1956, 1104, 14078, 185, 7264, 1183, 1105, 184, 27659, 117, 1150, 1460, 3288, 188, 17162, 6451, 7903, 2941, 3252, 1105, 1224, 22572, 5521, 20939, 1170, 4267, 8517, 14226, 1158, 173, 1233, 1830, 1665, 1233, 119, 170, 123, 1201, 129, 1808, 1385, 2298, 3891, 1412, 16371, 1920, 2704, 1114, 11344, 1104, 3811, 12953, 113, 1286, 1334, 114, 1105, 1286, 14078, 185, 7264, 1183, 1104, 125, 2277, 9355, 119, 1170, 3288, 123, 2277, 1104, 1292, 8006, 117, 1175, 1108, 17949, 14516, 13149, 12398, 1121, 1103, 1286, 3811, 119, 1196, 5991, 4412, 1106, 1412, 2704, 117, 1119, 1108, 5165, 1111, 184, 27659, 2394, 1114, 2848, 25523, 117, 4068, 1104, 1134, 1127, 1136, 1907, 119, 1117, 2335, 1892, 3439, 1105, 25128, 18533, 11041, 1694, 1107, 1412, 2704, 1127, 1439, 2999, 6263, 119, 1112, 1103, 8006, 20702, 1111, 125, 2277, 117, 3254, 18505, 1106, 3702, 8944, 1104, 1246, 1105, 2455, 1108, 1694, 1134, 1108, 5996, 2109, 1104, 4600, 3367, 8241, 1988, 1104, 123, 3975, 123, 3975, 2060, 1107, 1103, 1286, 18871, 7874, 1114, 5915, 1104, 18871, 7874, 6028, 164, 2482, 122, 166, 119, 1103, 3653, 1108, 1107, 2016, 122, 113, 1112, 1679, 182, 2149, 22192, 112, 188, 16772, 114, 1105, 1108, 2423, 1231, 26338, 1174, 119, 1117, 9870, 9779, 7542, 8179, 2799, 1415, 3652, 1104, 181, 25698, 7874, 2765, 23766, 11650, 1117, 2430, 18533, 1108, 3112, 1111, 172, 1181, 10973, 117, 171, 1665, 1233, 118, 123, 1105, 4366, 1111, 172, 1181, 1495, 117, 1114, 1822, 1940, 1830, 118, 122, 117, 1134, 3659, 173, 1233, 1830, 1665, 1233, 119, 1117, 185, 2155, 2875, 3484, 17744, 1106, 3702, 8944, 1111, 16772, 117, 6028, 12477, 8674, 1105, 172, 9014, 12725, 20080, 14196, 8240, 3090, 1185, 22832, 1785, 119, 3254, 18505, 1106, 3702, 8944, 1246, 1105, 2455, 5996, 2109, 1104, 4600, 3367, 8241, 1988, 1104, 123, 3975, 123, 3975, 2060, 1107, 1103, 1286, 18871, 7874, 1114, 5915, 1104, 18871, 7874, 6028, 3254, 18505, 1106, 3702, 8944, 1246, 1105, 2455, 1104, 1268, 1334, 4000, 1185, 22832, 1785, 1117, 3288, 7300, 8006, 1104, 3811, 12804, 1105, 14078, 9071, 185, 7264, 1183, 1723, 1118, 3811, 12398, 10456, 1170, 2547, 22572, 5521, 20939, 1112, 1679, 171, 118, 2765, 181, 25698, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3908, 6873, 1348, 8685, 1104, 1664, 16358, 1181, 1403, 9615, 181, 25698, 7903, 113, 183, 8495, 114, 1110, 170, 4054, 9127, 117, 1105, 2233, 1907, 1164, 1103, 183, 8495, 1115, 3120, 6808, 1104, 2243, 3811, 1105, 18871, 7874, 1110, 2609, 119, 1195, 2592, 170, 1692, 1104, 4267, 3101, 5613, 1415, 171, 2765, 181, 25698, 7903, 113, 173, 1233, 1830, 1665, 1233, 114, 117, 1107, 170, 123, 1214, 129, 2370, 1385, 2298, 117, 1150, 1872, 184, 6163, 9037, 1105, 14078, 185, 7264, 1183, 119, 3254, 18505, 1106, 3702, 8944, 3090, 170, 3367, 1107, 1103, 1286, 18871, 7874, 119, 18871, 7874, 10016, 1105, 1117, 9870, 9779, 7542, 8179, 3090, 173, 1233, 1830, 1665, 1233, 119, 1142, 1692, 12976, 1103, 4495, 1104, 6103, 12477, 2646, 15454, 181, 25698, 7903, 102 ]
[ 101, 1103, 2273, 1104, 1292, 3850, 23305, 6716, 2316, 1110, 1106, 5515, 5194, 8588, 1137, 188, 10941, 10805, 5562, 3154, 1621, 22572, 5521, 12858, 5970, 3186, 16065, 6063, 117, 8267, 12477, 8745, 25596, 7584, 16059, 13753, 118, 7657, 1114, 1871, 2861, 9927, 2848, 7804, 14840, 2619, 1105, 2569, 5351, 8115, 119, 16058, 1138, 1151, 3626, 1105, 1872, 1241, 1194, 8362, 10242, 5591, 8015, 1105, 1118, 12478, 1902, 117, 1105, 10071, 1115, 2496, 1113, 170, 1423, 25128, 16710, 13548, 1132, 2521, 2012, 4765, 1111, 188, 10941, 17292, 1137, 18106, 24737, 119, 1111, 1859, 117, 27558, 1116, 1104, 185, 23415, 113, 8050, 1643, 118, 23298, 6787, 114, 21176, 6530, 118, 122, 113, 14247, 1643, 118, 122, 114, 117, 1126, 8744, 1115, 11000, 1116, 173, 1605, 3290, 6949, 117, 18106, 1193, 188, 10941, 10805, 3708, 1114, 173, 1605, 15812, 5789, 1112, 7160, 1107, 2765, 2754, 1105, 3724, 3584, 119, 1303, 1394, 1195, 5594, 1126, 3136, 1111, 18106, 24737, 1136, 1359, 1113, 10071, 3176, 1113, 1160, 7539, 1439, 170, 1423, 13548, 117, 1133, 1897, 1114, 1160, 10071, 3176, 12630, 1193, 1106, 23162, 1103, 1269, 8744, 119, 1219, 170, 18299, 26156, 117, 1103, 195, 17162, 19790, 5250, 21995, 22939, 1162, 118, 124, 1110, 9618, 2258, 5250, 1566, 23415, 4863, 1106, 11019, 20080, 6530, 118, 124, 117, 1105, 1142, 2327, 11019, 20080, 6530, 118, 124, 1173, 172, 19094, 5710, 7432, 1104, 14391, 26794, 117, 26789, 1103, 170, 18299, 2430, 2941, 1788, 119, 1112, 5250, 21995, 22939, 1162, 118, 124, 4592, 3001, 1132, 8208, 1107, 1672, 14601, 1117, 2430, 27600, 117, 3850, 118, 22060, 2904, 14915, 1104, 5250, 21995, 22939, 1162, 118, 124, 1144, 3388, 2418, 2199, 1112, 170, 14930, 2848, 7804, 14840, 5564, 119, 1748, 4982, 117, 11019, 20080, 6530, 118, 124, 1144, 1151, 2602, 1106, 1505, 3607, 3573, 1107, 3621, 2660, 4527, 13335, 14300, 177, 24312, 8005, 22192, 117, 14391, 23510, 117, 1105, 1231, 3702, 6738, 1158, 119, 2456, 1718, 1104, 170, 5564, 1106, 12477, 22152, 13268, 1103, 11491, 1105, 1634, 1104, 11019, 20080, 6530, 118, 124, 14915, 1107, 170, 2747, 1105, 2904, 4758, 1180, 5958, 4256, 1103, 2025, 1104, 2327, 11019, 20080, 6530, 118, 124, 1107, 1292, 1664, 11478, 4184, 2430, 2941, 5669, 119, 1106, 2236, 117, 1160, 1558, 3553, 1104, 10071, 1138, 1151, 23617, 1115, 11778, 1103, 3246, 1105, 12365, 21943, 23022, 1104, 5250, 21995, 22939, 1162, 118, 124, 1107, 191, 2875, 2180, 1105, 21497, 170, 18299, 26156, 1107, 4182, 3652, 1107, 2754, 119, 5250, 21995, 22939, 1162, 118, 2496, 19012, 7090, 118, 122, 113, 185, 7409, 118, 122, 117, 2482, 122, 1161, 114, 11778, 1116, 1103, 3246, 1104, 5250, 21995, 22939, 1162, 118, 124, 1107, 191, 2875, 2180, 2258, 1103, 22572, 9945, 2116, 1104, 27558, 1183, 19159, 17146, 117, 21497, 1116, 170, 18299, 26156, 1107, 4182, 3652, 1107, 2754, 117, 1105, 1144, 2602, 23891, 1107, 2967, 182, 8212, 1673, 14601, 3584, 119, 1167, 3055, 117, 1103, 7090, 17733, 1475, 1830, 113, 2482, 122, 1161, 114, 1108, 2751, 1106, 4609, 1103, 12365, 21943, 23022, 1104, 5250, 21995, 22939, 1162, 118, 124, 1106, 11019, 20080, 6530, 118, 124, 1107, 191, 2875, 2180, 1105, 1106, 21497, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4612, 2848, 7804, 14840, 7606, 3417, 2923, 1104, 5557, 1115, 4010, 1472, 25128, 16710, 19530, 1137, 1343, 1115, 2496, 1113, 1472, 7539, 1107, 1103, 1269, 13548, 119, 1303, 1195, 10541, 170, 1207, 3400, 1107, 4612, 7606, 117, 1115, 1104, 8744, 14915, 1114, 1160, 10071, 1115, 1855, 1103, 1269, 7269, 4010, 117, 1133, 1194, 1472, 10748, 119, 16058, 1104, 5250, 21995, 22939, 1162, 118, 124, 2496, 12416, 5067, 185, 7409, 118, 122, 1105, 17733, 1475, 1830, 1437, 5602, 188, 10941, 17292, 1107, 2496, 19012, 5250, 21995, 22939, 1162, 118, 124, 1107, 191, 2875, 2180, 117, 26225, 6099, 1105, 7271, 22591, 23022, 1104, 5250, 21995, 22939, 1162, 118, 124, 1107, 2967, 4182, 2765, 2442, 117, 1105, 3110, 1193, 21497, 11019, 20080, 6530, 118, 7449, 170, 18299, 2430, 2941, 102 ]
[ 101, 4267, 22377, 2941, 1231, 20064, 12233, 1110, 1103, 1271, 1549, 1106, 1103, 2607, 1107, 1103, 1231, 11681, 117, 1134, 3689, 1166, 170, 1669, 1104, 1159, 1107, 4267, 22377, 7376, 119, 1122, 2606, 1141, 1104, 1103, 1558, 4680, 1104, 1207, 118, 15415, 5173, 2445, 1107, 1872, 2182, 119, 1191, 1103, 2129, 1226, 1104, 1103, 1231, 11681, 113, 178, 119, 174, 119, 117, 1103, 23639, 5886, 114, 1110, 2017, 117, 1122, 1110, 2752, 1106, 1112, 4267, 22377, 2941, 23639, 22806, 12233, 119, 1103, 2361, 3136, 1106, 12645, 1104, 4267, 22377, 2941, 23639, 22806, 12233, 2075, 5841, 1361, 11769, 17439, 7654, 11828, 20739, 1105, 23896, 12238, 2093, 1394, 1126, 10712, 8944, 113, 175, 1161, 114, 119, 1103, 1346, 3252, 4267, 22377, 2941, 1231, 20064, 12233, 2025, 113, 3084, 23632, 1116, 114, 3626, 17000, 21442, 19884, 118, 11140, 25128, 7257, 5864, 20739, 1105, 17000, 5922, 5841, 1361, 6427, 1112, 2530, 4069, 1104, 23639, 5552, 15830, 8670, 12750, 1107, 1546, 1106, 4959, 2480, 1103, 3252, 1431, 1129, 8042, 1112, 1152, 3393, 1103, 7300, 1193, 2418, 23639, 5552, 184, 15018, 1918, 113, 3084, 23632, 1116, 2592, 1295, 1275, 117, 1984, 114, 119, 1649, 117, 1292, 4069, 1132, 23481, 1105, 3860, 22233, 5026, 8588, 1106, 1353, 2607, 1107, 1231, 11681, 1233, 15830, 1105, 117, 3335, 117, 1336, 1129, 3372, 1106, 6183, 10496, 1137, 25813, 23639, 5552, 3528, 4777, 119, 1152, 1145, 1202, 1136, 2194, 1251, 2233, 1113, 1231, 11681, 1233, 22740, 1105, 1892, 4235, 119, 1113, 1103, 1168, 1289, 117, 175, 1161, 1110, 170, 3023, 3903, 2774, 1104, 27698, 1231, 11681, 1233, 1892, 5956, 117, 23639, 5552, 1679, 17149, 117, 1105, 4844, 1104, 19299, 2553, 3989, 1103, 184, 15018, 1918, 119, 1780, 1304, 5616, 7300, 1193, 117, 1122, 1145, 1674, 1136, 8681, 1277, 1106, 1103, 10540, 1104, 1231, 11681, 1233, 22740, 1105, 1157, 15830, 6168, 119, 1107, 1984, 1103, 6962, 1121, 3367, 7291, 5613, 18072, 8918, 1104, 2815, 1105, 5871, 13461, 2956, 2755, 17994, 1103, 5531, 1104, 10312, 1884, 21634, 1106, 3702, 8944, 113, 184, 5822, 114, 117, 1134, 1108, 170, 1558, 15036, 1107, 11769, 17439, 7654, 7257, 20346, 1116, 113, 1366, 24239, 18202, 11049, 1475, 170, 117, 188, 5491, 2142, 174, 1161, 117, 177, 25530, 173, 117, 175, 1358, 3454, 12610, 179, 1403, 117, 23609, 4567, 14067, 1186, 11019, 117, 181, 1394, 172, 1643, 117, 188, 17143, 1399, 179, 1116, 119, 3442, 1105, 16486, 1111, 10312, 14377, 1114, 2086, 1111, 9783, 1103, 23191, 2079, 1104, 1103, 6876, 114, 119, 1103, 1148, 2526, 1106, 1675, 1103, 3209, 1104, 1103, 1207, 20346, 3442, 1300, 1201, 1224, 1103, 1148, 2526, 1108, 1502, 1134, 1758, 1103, 1329, 1104, 184, 5822, 1107, 12645, 1104, 23639, 5552, 8131, 119, 1103, 3007, 1104, 1142, 2526, 1110, 1106, 2194, 1126, 24431, 1104, 7300, 10345, 1104, 184, 5822, 1107, 1231, 11681, 1233, 8670, 1104, 4267, 22377, 2941, 4420, 119, 184, 5822, 13267, 11621, 1103, 1344, 6021, 113, 1374, 17599, 11006, 4894, 114, 2771, 118, 2237, 1348, 4351, 113, 1106, 3702, 12139, 1116, 114, 1104, 1103, 1769, 1231, 11681, 1107, 170, 1664, 1394, 25007, 4758, 119, 1107, 5014, 1106, 5263, 5841, 1361, 6427, 1678, 1114, 5841, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4267, 22377, 2941, 23639, 22806, 12233, 113, 173, 1306, 114, 1110, 1141, 1104, 1103, 1558, 4680, 1104, 4152, 24034, 8341, 1880, 1107, 2833, 1114, 17972, 119, 1103, 2361, 3136, 1106, 12645, 1104, 173, 1306, 2075, 5841, 1361, 11769, 17439, 7654, 11828, 20739, 1105, 23896, 12238, 2093, 1394, 1126, 10712, 8944, 119, 1780, 1304, 5616, 7300, 1193, 117, 1292, 4069, 1202, 1136, 8681, 1277, 1106, 1103, 10540, 1104, 1231, 11681, 1233, 22740, 1105, 1157, 15830, 6168, 119, 1115, 1110, 1725, 170, 1207, 5531, 1270, 10312, 1884, 21634, 1106, 3702, 8944, 113, 184, 5822, 114, 1108, 12750, 1106, 3870, 2771, 118, 2237, 1348, 14377, 1104, 1103, 1231, 11681, 119, 1122, 11000, 1116, 10099, 1103, 23639, 5552, 3528, 4777, 117, 186, 27280, 5783, 1104, 4267, 22377, 2941, 23639, 5552, 102 ]
[ 101, 1103, 1902, 1104, 1103, 5144, 1161, 3519, 118, 18675, 1821, 1182, 2025, 1144, 1151, 1502, 2331, 119, 129, 1107, 4094, 117, 1195, 1872, 170, 9658, 4702, 6876, 1104, 2704, 20412, 1111, 1821, 1182, 1107, 1630, 117, 1386, 117, 1105, 1349, 1606, 170, 123, 118, 2016, 7091, 18200, 1902, 119, 1107, 1103, 1148, 2016, 117, 1195, 3626, 8894, 1606, 170, 3014, 7091, 18200, 7791, 1439, 126, 11610, 118, 2670, 188, 26649, 1104, 5144, 1161, 131, 2638, 118, 3738, 132, 2129, 118, 3738, 132, 2466, 118, 3738, 132, 2638, 118, 3953, 132, 1105, 2129, 120, 2466, 118, 3953, 4001, 119, 1195, 1215, 1292, 188, 26649, 1272, 2704, 6357, 1105, 7300, 23522, 11271, 1206, 3953, 1105, 3738, 1877, 1112, 1218, 1621, 1103, 124, 2078, 11610, 4001, 113, 2638, 117, 2129, 117, 1105, 2466, 114, 1104, 8684, 5144, 1161, 119, 1195, 3490, 2129, 1105, 2466, 3953, 4001, 1549, 1147, 1861, 1679, 8008, 2467, 1105, 2332, 1826, 3211, 119, 1107, 1103, 124, 3738, 188, 26649, 117, 1103, 18200, 8297, 4227, 1104, 1103, 2129, 2704, 1107, 1296, 1104, 1103, 3073, 2007, 24191, 1181, 3738, 4001, 113, 1333, 2129, 8894, 1107, 1333, 3738, 4001, 114, 119, 1107, 1103, 123, 3953, 188, 26649, 117, 1103, 18200, 8297, 4227, 1104, 1103, 2439, 118, 1634, 8894, 1107, 1296, 1104, 1103, 3073, 2007, 24191, 1181, 3953, 4001, 113, 6032, 1495, 8894, 1107, 25724, 3953, 4001, 114, 119, 1195, 19729, 2700, 4702, 8894, 1121, 1349, 1106, 15187, 1954, 5660, 1105, 9286, 1142, 1884, 13252, 1204, 8740, 1106, 1386, 1105, 1630, 1106, 5594, 18107, 14652, 119, 1107, 1103, 1248, 2016, 117, 1606, 12818, 7091, 18200, 8826, 117, 1195, 3583, 2740, 1121, 1296, 20744, 2704, 1606, 1103, 1469, 2704, 8539, 1111, 4420, 1114, 1821, 1182, 1107, 1630, 117, 1386, 117, 1105, 1349, 119, 1821, 1182, 2740, 1127, 3626, 1606, 170, 3981, 12398, 12645, 1104, 1821, 1182, 1359, 1113, 1835, 5393, 1104, 8131, 3827, 130, 1137, 1275, 117, 1549, 1115, 8894, 1107, 5144, 1161, 1132, 17983, 1118, 1103, 8382, 1104, 2332, 1106, 2190, 1142, 1869, 1113, 1103, 1148, 3674, 1104, 1103, 2657, 1647, 117, 1105, 1107, 4054, 2740, 1165, 1216, 1869, 1108, 1136, 1907, 117, 1195, 3659, 1103, 12645, 1194, 2657, 1647, 3189, 119, 2233, 11108, 1988, 3068, 1108, 19232, 1118, 19729, 23097, 1158, 126, 110, 1104, 1103, 2657, 5896, 117, 1114, 2905, 10893, 18291, 5103, 110, 119, 1103, 2129, 13438, 3914, 1120, 1103, 5144, 1161, 1569, 2057, 1111, 3621, 25575, 8131, 117, 1137, 1469, 4422, 13438, 11208, 4092, 1103, 5144, 1161, 3519, 118, 18675, 1821, 1182, 2025, 119, 1103, 5841, 1200, 1104, 1103, 2025, 1125, 1185, 1648, 1107, 2025, 1902, 117, 2233, 2436, 117, 2233, 3622, 117, 2233, 7628, 117, 1137, 2269, 1104, 1103, 2592, 119, 1195, 2609, 2025, 8025, 1106, 4420, 9046, 7408, 1111, 188, 8508, 3484, 5326, 26176, 1162, 117, 8199, 117, 1343, 1114, 1227, 177, 2087, 1137, 17972, 1120, 12398, 119, 4420, 1150, 1125, 170, 2251, 1104, 2704, 2215, 7681, 1190, 1572, 2005, 1127, 12728, 1106, 4989, 1115, 1155, 4420, 1125, 6664, 3767, 1106, 3531, 188, 8508, 3484, 5326, 26176, 1162, 119, 2886, 117, 1195, 5667, 4420, 1154, 122, 1104, 125, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 16497, 8508, 3484, 5326, 26176, 1162, 117, 1103, 1178, 2393, 12847, 25710, 1673, 19173, 1907, 1107, 5144, 1161, 117, 4607, 1116, 13950, 1107, 12104, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 113, 1821, 1182, 114, 1621, 4420, 1114, 188, 6834, 2430, 8031, 173, 6834, 26420, 1105, 1719, 17972, 1137, 1762, 4290, 113, 177, 2087, 114, 119, 1649, 117, 1569, 2415, 6692, 1107, 1103, 1329, 1104, 188, 8508, 3484, 5326, 26176, 1162, 1107, 5144, 1161, 1132, 3655, 119, 4069, 1105, 2686, 2087, 16071, 170, 9658, 4702, 6876, 1104, 1821, 1182, 4420, 1121, 1107, 1630, 117, 1386, 117, 1105, 1349, 117, 1195, 3626, 5691, 1568, 1545, 4420, 1114, 1719, 17972, 1137, 177, 2087, 1105, 5667, 1172, 1154, 122, 1104, 125, 2114, 2452, 1106, 1147, 11768, 1111, 188, 8508, 102 ]
[ 101, 1106, 1412, 3044, 1103, 1211, 2793, 3342, 1113, 172, 21091, 7409, 4267, 11553, 5796, 1108, 1502, 1107, 1410, 1105, 2103, 1572, 1227, 2740, 1104, 20061, 6841, 172, 21091, 7409, 8716, 4267, 11553, 5796, 119, 1107, 1412, 3783, 3189, 1195, 1225, 1136, 6183, 170, 1423, 1692, 1104, 6841, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1115, 2756, 1219, 170, 177, 24312, 27291, 5241, 119, 1195, 1675, 170, 1692, 1104, 177, 24312, 27291, 5241, 10645, 20061, 6841, 172, 21091, 7409, 8716, 4267, 11553, 5796, 117, 1134, 1108, 2374, 1664, 19807, 5838, 1193, 1114, 170, 8074, 21470, 4063, 173, 16669, 119, 1103, 5754, 1104, 1126, 1893, 19860, 4267, 11553, 5796, 1110, 1103, 172, 19094, 21226, 1104, 1103, 1893, 19860, 2095, 1118, 1126, 1107, 4487, 14535, 1233, 23123, 10024, 1918, 1388, 1206, 1160, 25460, 8798, 117, 119, 1112, 1195, 1132, 7516, 1103, 10938, 1227, 1692, 1104, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1242, 1104, 1103, 1168, 2103, 2740, 8803, 1168, 1893, 15297, 1216, 1112, 1103, 1887, 1119, 4163, 2941, 117, 188, 7136, 7770, 117, 7298, 1143, 27408, 26237, 117, 1105, 3245, 8005, 7641, 13040, 7050, 117, 117, 117, 117, 117, 117, 119, 19148, 117, 1229, 1199, 1104, 1343, 2740, 2103, 177, 24312, 23826, 1988, 1112, 170, 3187, 5318, 117, 1185, 1168, 1692, 8218, 1112, 177, 24312, 27291, 5241, 1114, 1126, 6841, 172, 21091, 7409, 18593, 4267, 11553, 5796, 119, 1103, 1148, 1692, 1104, 191, 1548, 14840, 1348, 18593, 4267, 11553, 5796, 2017, 1103, 7298, 1143, 27408, 26237, 18593, 113, 188, 1918, 114, 1105, 1108, 2103, 1107, 3138, 117, 1229, 1103, 1148, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1108, 1136, 2103, 1235, 3003, 119, 1165, 1152, 4467, 1107, 1103, 191, 1548, 14840, 1348, 1893, 15297, 117, 1103, 1211, 1887, 2450, 1110, 1439, 1103, 188, 1918, 117, 119, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1144, 1151, 1758, 1107, 20294, 24716, 14780, 117, 1133, 1122, 1178, 5756, 1111, 1367, 3029, 1104, 1155, 191, 1548, 14840, 1348, 26557, 26052, 119, 1106, 1412, 3044, 1103, 1211, 2793, 3342, 1113, 172, 21091, 7409, 4267, 11553, 5796, 1108, 1502, 1107, 1410, 1105, 2103, 1572, 1227, 2740, 1104, 20061, 6841, 172, 21091, 7409, 8716, 4267, 11553, 5796, 119, 1107, 1412, 3783, 3189, 1195, 1225, 1136, 6183, 170, 1423, 1692, 1104, 6841, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1115, 2756, 1219, 170, 177, 24312, 27291, 5241, 119, 1195, 1675, 170, 1692, 1104, 177, 24312, 27291, 5241, 10645, 20061, 6841, 172, 21091, 7409, 8716, 4267, 11553, 5796, 117, 1134, 1108, 2374, 1664, 19807, 5838, 1193, 1114, 170, 8074, 21470, 4063, 173, 16669, 119, 1103, 5754, 1104, 1126, 1893, 19860, 4267, 11553, 5796, 1110, 1103, 172, 19094, 21226, 1104, 1103, 1893, 19860, 2095, 1118, 1126, 1107, 4487, 14535, 1233, 23123, 10024, 1918, 1388, 1206, 1160, 25460, 8798, 117, 119, 1112, 1195, 1132, 7516, 1103, 10938, 1227, 1692, 1104, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1242, 1104, 1103, 1168, 2103, 2740, 8803, 1168, 1893, 15297, 1216, 1112, 1103, 1887, 1119, 4163, 2941, 117, 188, 7136, 7770, 117, 7298, 1143, 27408, 26237, 117, 1105, 3245, 8005, 7641, 13040, 7050, 117, 117, 117, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 12976, 2430, 1103, 1436, 1104, 1412, 3044, 117, 1195, 1675, 1103, 10938, 1692, 1104, 6841, 172, 21091, 7409, 18593, 4267, 11553, 5796, 119, 1142, 1110, 1103, 1148, 1692, 1104, 177, 24312, 27291, 5241, 10645, 20061, 6841, 172, 21091, 7409, 8716, 4267, 11553, 5796, 1107, 3783, 119, 191, 1548, 14840, 1348, 18593, 4267, 11553, 5796, 1110, 170, 4054, 23883, 117, 1105, 172, 21091, 7409, 18593, 4267, 11553, 5796, 1110, 1750, 1887, 1190, 4267, 11553, 5796, 1107, 1103, 188, 1918, 119, 1122, 1110, 170, 2846, 12645, 1106, 1294, 1113, 1607, 1105, 2952, 2041, 117, 24928, 22371, 20563, 5014, 9927, 172, 1204, 14377, 119, 1412, 5351, 1108, 2374, 1664, 19807, 5838, 1193, 1114, 170, 8074, 21470, 4063, 173, 16669, 1105, 1225, 1218, 119, 102, 0, 0, 0, 0, 0, 0 ]
[ 101, 1107, 1369, 117, 170, 1476, 118, 1214, 118, 1385, 185, 10205, 6512, 1611, 18312, 1161, 7454, 4531, 1107, 4487, 18614, 2042, 175, 21470, 14353, 113, 178, 16205, 1181, 114, 1120, 1406, 2277, 176, 16144, 2116, 117, 1112, 1628, 1118, 1314, 1441, 2050, 5082, 1348, 1669, 1105, 3659, 1118, 18737, 22909, 1120, 129, 2277, 119, 1103, 5351, 2097, 1211, 1104, 1123, 10203, 3558, 2904, 5351, 1920, 119, 1107, 184, 5822, 21367, 1197, 1384, 117, 1219, 176, 16144, 15937, 2277, 1744, 117, 1131, 1108, 5490, 1106, 1120, 1655, 123, 4420, 1114, 15504, 1107, 27206, 119, 1131, 2103, 8006, 1104, 10880, 117, 1139, 1348, 9037, 117, 16320, 117, 1105, 21810, 1219, 176, 16144, 15937, 1989, 125, 119, 1131, 1125, 1185, 5193, 1111, 1107, 27206, 117, 1225, 1136, 3531, 2848, 25740, 1348, 7606, 117, 1105, 1261, 20839, 20284, 4559, 27801, 1179, 132, 1123, 8006, 10456, 119, 1126, 18737, 22909, 1120, 1407, 2277, 7160, 1346, 3213, 18760, 1105, 184, 2646, 2758, 7889, 7412, 1306, 22772, 1116, 1114, 2999, 5452, 175, 21470, 16042, 1116, 1105, 1246, 119, 1103, 5351, 1125, 1126, 8362, 16996, 23822, 1895, 2657, 1607, 117, 1225, 1136, 5427, 117, 1105, 1108, 18570, 11860, 2316, 2109, 2032, 10203, 119, 17599, 21442, 2716, 117, 1117, 3121, 26431, 1127, 13504, 1107, 1103, 11476, 2000, 113, 13306, 9455, 15655, 8867, 10721, 114, 1105, 1127, 2382, 1439, 1103, 175, 21470, 22572, 20571, 7770, 191, 7956, 1182, 113, 16358, 2087, 2822, 10232, 3652, 132, 2482, 122, 117, 5962, 170, 114, 119, 1117, 2430, 13791, 1596, 3622, 1104, 175, 21470, 12365, 12685, 9985, 2799, 7648, 181, 14088, 7050, 1117, 3121, 26431, 1104, 1103, 13093, 1105, 9691, 119, 1185, 1168, 22653, 2607, 1137, 14837, 10838, 1116, 1127, 3626, 1107, 1103, 1282, 13130, 1137, 175, 21470, 11932, 119, 7918, 6876, 1121, 1476, 118, 1214, 118, 1385, 185, 10205, 6512, 1611, 18312, 1161, 5351, 5490, 1106, 13286, 1107, 27206, 113, 177, 1475, 1179, 1475, 114, 119, 170, 114, 9455, 15655, 12769, 113, 11476, 114, 6966, 1114, 13687, 120, 8675, 1104, 1117, 3121, 26431, 113, 13306, 9455, 15655, 8867, 10721, 114, 1105, 20497, 12725, 2941, 175, 21470, 22572, 20571, 7770, 191, 7956, 1182, 1114, 16358, 2087, 2822, 10232, 3652, 1117, 3121, 13335, 23894, 24970, 113, 23123, 10024, 16844, 2836, 1105, 174, 2155, 1394, 24754, 117, 1560, 12477, 22152, 11531, 2363, 114, 119, 171, 114, 7058, 118, 9729, 13280, 13601, 2728, 2087, 7535, 12238, 8298, 3919, 4164, 4000, 26491, 1106, 1107, 27206, 170, 7942, 113, 177, 1475, 1179, 1475, 114, 113, 21359, 4487, 11006, 18873, 1197, 5114, 10775, 2042, 1110, 12858, 2660, 3457, 3906, 1566, 117, 1894, 114, 1105, 172, 25669, 26218, 11745, 1179, 113, 23896, 12238, 2093, 1394, 1110, 12858, 2660, 3457, 3906, 1566, 117, 2448, 114, 1107, 1107, 4487, 15655, 12769, 113, 175, 21470, 114, 1105, 9455, 15655, 12769, 113, 11476, 114, 2000, 119, 13306, 9455, 15655, 8867, 10721, 1108, 10238, 1107, 1103, 1282, 21739, 1117, 25333, 1105, 1144, 1151, 2331, 1758, 1114, 1664, 20080, 10294, 19814, 2607, 1107, 1940, 26996, 14791, 2553, 1105, 1231, 21754, 10203, 2445, 113, 125, 114, 119, 1117, 3121, 26431, 3626, 1121, 1103, 11476, 9455, 15655, 12769, 2000, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 170, 1248, 13373, 12831, 175, 21470, 14353, 1723, 1107, 27206, 118, 1176, 6946, 1107, 1346, 10203, 119, 1107, 27206, 170, 7942, 113, 177, 1475, 1179, 1475, 114, 1108, 3626, 1107, 11476, 1105, 175, 21470, 7918, 117, 21295, 14715, 11256, 21739, 5885, 119, 1292, 9505, 3228, 170, 11019, 25034, 2398, 1206, 1346, 7401, 1105, 175, 21470, 14353, 119, 2635, 1104, 2174, 1107, 27206, 8010, 1116, 1431, 1511, 10540, 1104, 2982, 1104, 17890, 2628, 1114, 175, 21470, 2445, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 14780, 1105, 2108, 2967, 14780, 1259, 23057, 3575, 3773, 113, 189, 5567, 114, 1132, 1103, 1211, 1887, 21870, 1107, 1482, 1105, 6323, 1196, 1425, 1851, 1213, 1103, 1362, 164, 1492, 166, 119, 14471, 1104, 2967, 14780, 1259, 189, 5567, 1378, 3404, 14705, 9123, 1206, 1407, 110, 1105, 1512, 110, 164, 122, 117, 125, 166, 119, 1133, 1136, 1178, 1103, 1148, 2005, 1105, 1552, 1132, 3607, 132, 1111, 1201, 117, 1167, 1105, 1167, 2967, 14780, 4420, 1138, 1151, 5932, 1103, 3288, 4216, 1105, 12104, 1920, 1669, 1133, 1178, 1106, 3689, 27410, 22653, 2593, 9318, 113, 6442, 1116, 114, 117, 14516, 17990, 117, 1137, 2967, 5677, 173, 6834, 26420, 9318, 113, 182, 16476, 114, 1107, 1103, 1736, 1104, 1103, 1374, 2277, 1104, 3607, 1920, 164, 123, 117, 126, 117, 127, 166, 119, 1111, 13837, 2967, 14780, 4420, 1107, 176, 14170, 1183, 117, 1103, 176, 14170, 14780, 25097, 2799, 1126, 1107, 118, 2704, 14471, 1104, 1367, 110, 1107, 1333, 119, 1107, 1103, 1269, 2592, 117, 3607, 1920, 13522, 1216, 1112, 6442, 1116, 117, 14516, 17990, 117, 1105, 182, 16476, 1132, 2103, 1111, 1405, 110, 1104, 4420, 119, 1168, 2114, 2592, 1861, 5600, 1104, 6442, 1116, 117, 14516, 17990, 117, 1105, 182, 16476, 164, 123, 117, 127, 117, 128, 166, 119, 1122, 1110, 2412, 1227, 1115, 1292, 13522, 1254, 1260, 2083, 18472, 2193, 1103, 5250, 25566, 4863, 1105, 9386, 1104, 1103, 2786, 5932, 14780, 5351, 1105, 2773, 1523, 14471, 1106, 1146, 1106, 1851, 110, 1191, 23487, 182, 16476, 1110, 1872, 164, 123, 117, 128, 117, 129, 166, 119, 1106, 2437, 3507, 4184, 7889, 23652, 7810, 5669, 2020, 1106, 2967, 5677, 4290, 117, 6442, 1116, 117, 1105, 14516, 17990, 1105, 1781, 1282, 1219, 1142, 15667, 6946, 117, 14511, 3507, 4184, 7889, 23652, 7810, 3044, 1113, 1103, 3154, 1104, 1103, 3288, 14780, 113, 1148, 1855, 114, 1110, 6818, 1106, 20220, 2509, 7031, 1118, 1103, 1378, 13467, 1137, 3607, 1920, 3252, 113, 3209, 1248, 1855, 114, 164, 21787, 166, 119, 3335, 117, 2567, 24928, 11955, 4487, 10161, 1112, 1218, 1112, 4900, 1844, 2527, 1114, 1242, 1472, 3724, 1105, 7300, 3584, 2799, 22653, 2607, 1170, 14780, 164, 12794, 1527, 166, 119, 1178, 3055, 117, 14516, 26318, 3084, 2393, 119, 2103, 1113, 1103, 1696, 1648, 1104, 14402, 1233, 1477, 1107, 172, 1571, 1559, 1830, 1233, 120, 179, 1545, 14105, 117, 13391, 1120, 125, 1106, 1367, 177, 1378, 1804, 1246, 3773, 1105, 2020, 1106, 4725, 8458, 9386, 1105, 8241, 1988, 2060, 7234, 1112, 1218, 1112, 1750, 3718, 3575, 3290, 119, 1330, 1372, 2799, 1115, 1103, 9556, 11241, 17395, 7409, 1336, 1120, 5208, 20043, 1103, 2629, 1104, 5250, 1394, 2087, 7609, 21943, 4649, 172, 25669, 21420, 3965, 1170, 1804, 189, 5567, 1107, 14105, 119, 1107, 1103, 1269, 2025, 117, 1103, 5752, 6352, 1191, 11241, 17395, 7409, 1336, 1145, 2773, 1263, 118, 1858, 24928, 11955, 26420, 1170, 189, 5567, 119, 1113, 1103, 1168, 1289, 117, 175, 5521, 2149, 22869, 1105, 4900, 1107, 14105, 1132, 1227, 1106, 9887, 1126, 22653, 2593, 1111, 1201, 117, 1105, 3055, 1317, 2114, 6352, 20340, 10700, 1106, 182, 5412, 9732, 1142, 22653, 2593, 164, 1367, 117, 1489, 166, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 119, 2693, 4728, 1844, 1107, 24928, 11955, 4487, 10161, 1105, 4900, 117, 1376, 1110, 1227, 1113, 27410, 22653, 3154, 1104, 1103, 7300, 1193, 1211, 7503, 3490, 185, 23415, 4487, 10161, 119, 6700, 4449, 1107, 1126, 3724, 2235, 1336, 2194, 7503, 14222, 1111, 20340, 10700, 119, 1195, 5594, 1103, 3154, 1104, 170, 3490, 3773, 1114, 4161, 1106, 181, 25698, 13335, 14300, 1416, 1105, 172, 25669, 21420, 1673, 14915, 119, 4069, 119, 2532, 2581, 172, 1571, 1559, 1830, 1233, 120, 127, 3361, 14105, 113, 1928, 2841, 1765, 176, 114, 1127, 1126, 2556, 4638, 26300, 1114, 180, 12405, 9685, 120, 193, 22948, 25593, 119, 3551, 1127, 13927, 1106, 170, 2841, 3968, 1804, 23057, 3575, 3773, 113, 192, 1181, 118, 189, 5567, 114, 117, 170, 175, 5521, 17536, 22869, 102 ]
[ 101, 12104, 13316, 13782, 11745, 6620, 1496, 1106, 2848, 12685, 8401, 2941, 3252, 1110, 4054, 1133, 2121, 4680, 170, 11874, 16798, 2629, 119, 1199, 1120, 1183, 15328, 2848, 12685, 8401, 2941, 5789, 117, 1259, 172, 2858, 3293, 18351, 117, 184, 4371, 3293, 18351, 117, 15027, 10691, 18351, 117, 1105, 187, 1548, 3365, 12894, 1673, 117, 1132, 2628, 1114, 12104, 13316, 13782, 11745, 6620, 119, 122, 117, 123, 114, 1621, 1172, 117, 12104, 13316, 13782, 11745, 6620, 2416, 1118, 187, 1548, 3365, 12894, 1673, 1110, 1103, 4054, 2050, 119, 124, 117, 125, 114, 1780, 1211, 2740, 1104, 12104, 13316, 13782, 11745, 6620, 1496, 1106, 1120, 1183, 15328, 2848, 12685, 8401, 2941, 5789, 4467, 1439, 127, 1808, 1104, 2547, 2848, 12685, 8401, 2941, 3469, 117, 122, 114, 1195, 4531, 170, 188, 4313, 6112, 7880, 5123, 1596, 5351, 5601, 1121, 13316, 13782, 11745, 6620, 1170, 1167, 1190, 127, 1808, 1104, 187, 1548, 3365, 12894, 1673, 7606, 119, 170, 5691, 118, 1214, 118, 1385, 179, 26519, 13309, 1590, 1108, 11534, 1114, 188, 4313, 26474, 1120, 1103, 1425, 1104, 1476, 1201, 1105, 1460, 1149, 27420, 1920, 1120, 1330, 4910, 2704, 119, 1123, 3112, 8006, 1127, 1136, 3289, 117, 1133, 1123, 12176, 1634, 1108, 1177, 20606, 1115, 1131, 1180, 1136, 16146, 1123, 21518, 1105, 10133, 1164, 123, 117, 1288, 180, 7867, 120, 1285, 1107, 1901, 1106, 1210, 6655, 13077, 119, 1131, 1125, 1309, 23235, 117, 1225, 1136, 3668, 6272, 117, 1105, 1225, 1136, 1321, 1251, 5696, 5557, 119, 1892, 5715, 113, 1952, 122, 114, 117, 24716, 18737, 2142, 9543, 117, 1105, 170, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 14884, 1127, 1982, 119, 7300, 1956, 1127, 4977, 1118, 8087, 9505, 1104, 177, 24312, 2312, 22948, 2217, 8191, 113, 1821, 22948, 2217, 117, 122, 117, 21625, 190, 120, 181, 114, 117, 177, 24312, 10913, 6530, 8191, 113, 4764, 6530, 117, 122, 117, 4062, 1527, 190, 120, 181, 114, 117, 1105, 10496, 11911, 8744, 20341, 119, 2686, 1104, 1103, 24716, 18737, 2142, 9543, 1127, 3112, 1111, 20003, 27726, 1279, 1107, 1103, 20003, 1233, 18075, 19541, 1105, 4267, 15874, 2116, 1104, 1103, 1887, 16516, 1513, 26862, 119, 2886, 117, 1103, 1821, 22948, 2217, 1105, 4764, 6530, 189, 19385, 1116, 1915, 1344, 113, 3993, 1475, 190, 120, 181, 1105, 2908, 1527, 190, 120, 181, 117, 3569, 114, 117, 1780, 2393, 7192, 1673, 1105, 1112, 17482, 10237, 13736, 4487, 2316, 6732, 23105, 10558, 6044, 1106, 2999, 3001, 119, 1120, 1142, 1553, 117, 1195, 1464, 1115, 1122, 1108, 2914, 1111, 1123, 1106, 1838, 1781, 1103, 187, 1548, 3365, 12894, 1673, 1254, 119, 1160, 1552, 1170, 2547, 1103, 187, 1548, 3365, 12894, 1673, 117, 23651, 4764, 6530, 1105, 1821, 22948, 2217, 2569, 1254, 1106, 122, 117, 18783, 190, 120, 181, 1105, 5692, 1571, 190, 120, 181, 117, 3569, 117, 1105, 172, 1377, 1145, 2569, 113, 5465, 1545, 190, 120, 181, 114, 119, 1195, 1879, 1106, 28117, 20080, 6696, 1103, 187, 1548, 3365, 12894, 1673, 1105, 2234, 1275, 17713, 1107, 4487, 7912, 2285, 5871, 13200, 9866, 2572, 1233, 14546, 1116, 1517, 1679, 1285, 119, 1160, 1552, 1170, 19959, 26728, 21490, 1103, 187, 1548, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 12104, 13316, 13782, 11745, 6620, 1114, 2848, 12685, 8401, 2941, 3252, 1110, 4054, 1133, 2121, 4680, 170, 11874, 16798, 2629, 119, 1211, 2740, 1104, 12104, 13316, 13782, 11745, 6620, 1496, 1106, 1120, 1183, 15328, 2848, 12685, 8401, 2941, 5789, 1132, 2103, 1106, 4467, 1439, 1565, 1808, 1104, 2547, 2848, 12685, 8401, 2941, 3469, 119, 12104, 13316, 13782, 11745, 6620, 2416, 1118, 187, 1548, 3365, 12894, 1673, 1110, 4054, 119, 1103, 5351, 1125, 170, 1344, 10880, 117, 3472, 12804, 1105, 26979, 1158, 119, 1103, 2686, 1104, 1103, 24716, 3254, 18505, 1106, 3702, 14867, 16194, 1183, 14884, 1127, 4366, 119, 1103, 2686, 1104, 1103, 24716, 18737, 2142, 9543, 1127, 3112, 1111, 20003, 27726, 1279, 1107, 20003, 1233, 18075, 19541, 1105, 4267, 15874, 2116, 1104, 1103, 1887, 16516, 1513, 102 ]
[ 101, 185, 23415, 3457, 5668, 184, 24022, 9318, 113, 185, 13538, 114, 117, 1103, 1211, 1887, 2130, 1322, 13335, 8643, 8936, 117, 1110, 170, 1119, 25710, 27054, 2285, 1322, 13335, 8643, 1105, 25158, 8936, 117, 12759, 127, 118, 1275, 110, 1104, 1535, 1104, 17505, 1425, 113, 122, 114, 119, 1956, 1104, 185, 13538, 1336, 23487, 1120, 1251, 1425, 117, 7032, 1121, 5153, 113, 24505, 11030, 17845, 114, 117, 11009, 1201, 113, 20844, 1733, 16065, 6602, 117, 1441, 2050, 5082, 1348, 22832, 4233, 114, 117, 1346, 22777, 1105, 2243, 1297, 113, 1107, 6732, 20688, 117, 20636, 1154, 2879, 3923, 114, 1106, 1224, 1297, 113, 17972, 1143, 6473, 4814, 1105, 3621, 25575, 8131, 114, 113, 123, 114, 119, 1317, 1104, 1292, 1956, 2773, 1103, 3187, 1104, 3621, 25575, 8131, 113, 172, 1964, 1181, 114, 1107, 1535, 113, 124, 114, 1105, 1103, 22760, 1104, 177, 24312, 23826, 1988, 1107, 1535, 1114, 185, 13538, 1110, 1164, 1969, 110, 1107, 7577, 1114, 170, 22760, 1104, 1164, 1512, 119, 129, 1107, 1103, 1704, 1416, 113, 125, 114, 119, 185, 13538, 1110, 1145, 2628, 1114, 170, 2299, 3187, 1104, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 113, 5236, 3187, 114, 113, 126, 114, 1105, 1114, 170, 22485, 3621, 25575, 6168, 2457, 1121, 184, 27655, 1107, 1685, 1535, 113, 127, 114, 119, 177, 24312, 5709, 26767, 1863, 1105, 26825, 4789, 1137, 21344, 1108, 5128, 1106, 185, 13538, 117, 1112, 1346, 1112, 4085, 117, 1165, 170, 16657, 1105, 24438, 11528, 1502, 1147, 5263, 6136, 1104, 170, 12832, 1174, 1590, 1114, 17972, 113, 128, 114, 119, 1103, 185, 23415, 3457, 5668, 184, 24022, 9318, 1108, 1173, 1270, 1103, 188, 7242, 118, 5837, 14850, 7654, 9318, 117, 1134, 1108, 1148, 1758, 1107, 3588, 119, 2034, 117, 12645, 2320, 3507, 8032, 2728, 7130, 1596, 184, 8997, 1811, 9505, 1105, 1103, 7300, 189, 20144, 1104, 20844, 1733, 16065, 6602, 117, 1821, 26601, 11096, 13836, 1105, 184, 27655, 113, 129, 114, 119, 6700, 18293, 1104, 170, 185, 23415, 3457, 5668, 184, 8997, 1811, 9318, 113, 185, 13538, 114, 1107, 8335, 5240, 1118, 8001, 1200, 1107, 1820, 1108, 1189, 1936, 1118, 1103, 1329, 1104, 170, 1423, 1107, 4487, 6308, 11702, 113, 178, 119, 182, 119, 114, 1103, 13475, 6445, 184, 25247, 6840, 1105, 1872, 5924, 1104, 1769, 185, 13538, 117, 1259, 1415, 172, 6834, 2941, 175, 12666, 26407, 1107, 1103, 184, 8997, 1905, 1105, 8599, 14759, 1104, 181, 6140, 4729, 6185, 21055, 113, 130, 114, 119, 187, 27085, 22572, 16931, 17893, 1137, 22572, 7363, 5521, 1883, 1818, 1185, 15197, 1162, 113, 181, 119, 114, 117, 113, 10646, 15739, 1548, 1185, 15197, 1548, 181, 119, 1121, 1112, 17528, 8814, 1266, 114, 117, 1110, 170, 15894, 22245, 13783, 1107, 2466, 27772, 3186, 1105, 1564, 170, 2087, 15353, 119, 1107, 2361, 5182, 117, 22572, 16931, 17893, 4637, 1132, 1215, 1112, 1126, 2848, 118, 22620, 26358, 1193, 2941, 1105, 2848, 118, 22653, 5679, 1111, 3472, 11759, 119, 1107, 1535, 117, 1103, 2848, 20080, 2225, 3702, 13328, 3154, 1104, 22572, 16931, 17893, 7166, 1441, 2050, 5082, 1348, 172, 4515, 3491, 1105, 1750, 1424, 1103, 5417, 1104, 24505, 5530, 119, 22572, 16931, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4784, 23043, 1183, 3457, 5668, 184, 24022, 9318, 113, 185, 13538, 114, 1110, 170, 2703, 1322, 13335, 8643, 1105, 25158, 8936, 2628, 1114, 184, 25247, 13389, 1183, 173, 6834, 26420, 119, 16269, 117, 1376, 1110, 1227, 1164, 1103, 2425, 5320, 1115, 19687, 185, 13538, 119, 22572, 16931, 17893, 4637, 1132, 1215, 1107, 4174, 5182, 1111, 1157, 2848, 118, 22620, 26358, 1193, 2941, 1105, 2848, 118, 22653, 3154, 119, 2848, 20080, 2225, 3702, 13328, 4625, 1104, 22572, 16931, 17893, 7166, 1441, 2050, 5082, 1348, 172, 4515, 3491, 1105, 1750, 1424, 1103, 5417, 1104, 24505, 5530, 119, 1142, 24712, 22245, 1145, 26225, 1116, 1441, 2050, 5082, 1891, 119, 1107, 1142, 2025, 117, 1195, 17428, 1103, 3154, 1104, 22572, 16931, 17893, 16149, 118, 16143, 1113, 1103, 25128, 16710, 1105, 102 ]
[ 101, 185, 18873, 2858, 12934, 4798, 117, 1145, 2752, 1106, 1112, 23971, 180, 1475, 117, 1110, 170, 7090, 1675, 1107, 1155, 7630, 26588, 9265, 3546, 113, 122, 114, 119, 185, 18873, 2858, 12934, 4798, 1110, 1103, 2425, 10211, 3113, 2674, 1104, 23971, 180, 119, 1107, 1704, 117, 2448, 117, 7404, 1183, 11872, 4651, 1103, 2439, 1227, 185, 18873, 2858, 12934, 4798, 14759, 1105, 8681, 2324, 2539, 110, 1104, 1703, 185, 18873, 2858, 12934, 4798, 14741, 113, 123, 117, 124, 114, 119, 1112, 4668, 1107, 1952, 122, 117, 6898, 7291, 1105, 9704, 3680, 117, 1134, 1138, 14255, 8178, 5168, 2227, 1344, 14759, 1104, 22572, 10885, 4184, 18873, 1233, 2628, 1114, 1103, 7630, 26588, 9265, 1965, 117, 7544, 117, 1843, 7404, 2942, 1138, 12613, 2299, 14759, 1104, 185, 18873, 2858, 12934, 4798, 3402, 1106, 1103, 1167, 3337, 10133, 2854, 2953, 1519, 7926, 2093, 117, 1134, 1110, 12613, 28089, 117, 7544, 117, 2211, 22572, 10885, 4184, 18873, 1233, 14759, 119, 1103, 1168, 2582, 3509, 1104, 185, 18873, 2858, 12934, 4798, 1132, 2218, 2582, 23638, 1259, 1177, 1183, 3962, 1389, 117, 1169, 5326, 113, 1145, 1227, 1112, 9372, 18628, 1181, 114, 117, 7825, 18628, 1181, 117, 1105, 13552, 113, 1952, 122, 114, 119, 12477, 18971, 8643, 117, 23237, 117, 1105, 19359, 11597, 1116, 4408, 1121, 1292, 2582, 23638, 1132, 1696, 10211, 3113, 3509, 1104, 185, 18873, 2858, 12934, 4798, 113, 125, 117, 126, 114, 119, 2582, 23638, 1132, 1215, 1111, 7288, 1104, 2967, 3216, 10514, 117, 7544, 1242, 11514, 4029, 11785, 1259, 19983, 4817, 1145, 4651, 1353, 7919, 1104, 185, 18873, 2858, 12934, 4798, 119, 1780, 2967, 19908, 1208, 4056, 1115, 4651, 1199, 185, 18873, 2858, 12934, 4798, 8792, 1104, 11785, 113, 127, 117, 128, 114, 117, 1103, 1211, 4154, 3622, 1104, 185, 18873, 2858, 12934, 4798, 1107, 1887, 11785, 1606, 1628, 2094, 18200, 19755, 113, 129, 114, 1132, 1276, 1107, 1103, 10280, 2231, 2853, 1104, 6487, 113, 1366, 1810, 114, 22664, 27286, 8539, 1111, 2530, 3835, 113, 8413, 131, 120, 120, 7001, 119, 170, 1733, 119, 1366, 1810, 119, 1301, 1964, 120, 188, 1643, 1477, 19399, 8702, 2897, 120, 1282, 120, 13414, 1571, 21336, 7629, 120, 2233, 120, 188, 1197, 20581, 120, 22664, 13217, 3681, 1197, 20581, 1161, 25631, 1568, 119, 185, 1181, 2087, 132, 12269, 4991, 119, 1659, 119, 1275, 114, 119, 1649, 117, 2849, 1107, 1142, 1952, 1132, 1107, 26289, 1104, 3151, 14759, 1104, 1155, 3622, 1111, 170, 1549, 2094, 1107, 1103, 2351, 112, 188, 8087, 1105, 1336, 11271, 1121, 3835, 1272, 1104, 1103, 10838, 1104, 22255, 2233, 119, 1103, 2595, 9986, 1891, 1104, 185, 18873, 2858, 12934, 4798, 118, 3987, 23638, 2686, 1107, 170, 9047, 1104, 185, 18873, 2858, 12934, 4798, 1154, 170, 9986, 2913, 1532, 117, 123, 117, 124, 118, 4267, 7889, 23632, 4184, 18873, 2858, 12934, 4798, 113, 130, 114, 119, 1112, 2637, 117, 14715, 24862, 5190, 14759, 1132, 3023, 27053, 1114, 4267, 7889, 23632, 4184, 18873, 2858, 12934, 4798, 14759, 113, 1275, 114, 119, 1107, 1103, 1366, 2094, 3880, 2595, 9986, 1891, 1104, 2582, 23638, 1108, 170, 1887, 2415, 1115, 16639, 12202, 1297, 1104, 1103, 2949, 118, 1359, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 23971, 180, 1110, 1675, 1107, 1103, 10211, 1107, 1103, 2769, 1104, 185, 18873, 2858, 12934, 4798, 1105, 1441, 22540, 14846, 18764, 119, 185, 18873, 2858, 12934, 4798, 117, 1134, 1110, 1103, 1558, 10211, 3113, 2674, 117, 1110, 7902, 1107, 7404, 1183, 3546, 1105, 1110, 1103, 23971, 180, 1532, 1436, 6858, 1107, 2538, 1104, 2094, 5239, 1105, 10211, 3113, 14741, 1116, 119, 1107, 5014, 117, 1441, 22540, 14846, 18764, 1132, 1103, 3317, 1104, 19560, 1707, 1137, 7497, 1121, 10211, 3113, 185, 18873, 2858, 12934, 4798, 119, 2094, 5239, 19908, 1132, 2609, 1111, 1441, 22540, 14846, 18764, 1105, 1147, 2915, 1107, 11785, 9544, 1118, 1805, 119, 10211, 3113, 14741, 1116, 1104, 1155, 2769, 1104, 23971, 180, 7907, 3409, 1621, 1425, 2114, 1105, 1416, 23470, 1116, 119, 9279, 117, 102 ]
[ 101, 4457, 1893, 20899, 12411, 8009, 2176, 1144, 14733, 2912, 1106, 6949, 1170, 1719, 15251, 1137, 3290, 1105, 1122, 1110, 9803, 1106, 1129, 13350, 1106, 2999, 3879, 1517, 1122, 1144, 1151, 20606, 119, 1893, 20899, 12411, 8009, 2176, 6949, 1144, 1151, 1359, 1113, 4006, 1105, 1231, 24313, 3970, 1103, 2425, 2255, 1111, 1103, 3773, 117, 1133, 1122, 1144, 1151, 3037, 1115, 1178, 12770, 1103, 3290, 1751, 1110, 1136, 12373, 1106, 4361, 1363, 1263, 118, 1858, 16354, 119, 1103, 8952, 3750, 1104, 177, 18543, 2042, 12411, 8009, 2176, 1110, 1472, 1121, 1115, 1104, 4841, 8401, 17394, 1233, 6028, 1107, 7269, 117, 2952, 1105, 5297, 5924, 119, 1142, 1521, 1106, 1103, 5835, 1115, 1107, 1546, 1106, 4361, 3112, 2686, 1107, 7918, 6949, 117, 1103, 17599, 1424, 25740, 1320, 1880, 1107, 1134, 1103, 6949, 1965, 2274, 1282, 1431, 1129, 1231, 2430, 21758, 1181, 117, 1216, 1112, 1343, 3050, 1115, 1505, 170, 5250, 118, 1126, 10712, 19438, 117, 5880, 2109, 117, 2765, 23510, 1105, 22572, 5521, 16339, 11143, 1648, 119, 1142, 12034, 1144, 1151, 1103, 2255, 1481, 170, 3213, 1107, 1606, 7434, 1105, 7918, 3752, 1107, 1103, 8179, 1104, 1893, 20899, 12411, 8009, 2176, 6949, 119, 170, 1295, 1104, 2379, 1105, 8246, 25128, 7213, 13119, 1116, 1138, 1151, 1215, 1112, 188, 2599, 3101, 11015, 1116, 1111, 12411, 8009, 2176, 5851, 1891, 117, 1133, 1147, 7269, 12949, 1112, 1218, 1112, 3429, 2606, 8362, 4894, 4063, 5790, 119, 3335, 117, 188, 2599, 3101, 11015, 25128, 7213, 13119, 1116, 16939, 1121, 1103, 4420, 1319, 1404, 1138, 1263, 1151, 170, 27386, 3026, 119, 4885, 5765, 118, 3987, 13441, 113, 185, 15615, 114, 117, 1134, 1169, 1129, 3253, 25309, 1121, 12365, 13791, 2285, 1892, 117, 1144, 1151, 1215, 1107, 7300, 7857, 1111, 4397, 119, 185, 15615, 1110, 3987, 1107, 3213, 5320, 117, 4051, 1343, 1115, 1494, 1103, 23766, 1104, 22572, 16838, 26767, 1596, 3652, 1105, 6187, 7111, 3375, 1104, 12411, 8009, 10533, 2285, 8952, 117, 1216, 1112, 4885, 5765, 118, 4408, 3213, 5318, 113, 185, 1181, 1403, 2087, 114, 117, 20892, 3213, 5318, 113, 189, 1403, 2087, 118, 171, 114, 117, 26557, 1322, 12858, 21091, 1348, 3213, 5318, 113, 1396, 1403, 2087, 114, 117, 3501, 20497, 12725, 27184, 3213, 5318, 113, 171, 2087, 1403, 2087, 114, 1105, 26825, 118, 1176, 3213, 5318, 113, 178, 1403, 2087, 114, 119, 170, 1207, 1420, 1107, 4885, 5765, 7902, 2982, 1110, 4885, 5765, 118, 3987, 20497, 27647, 1179, 113, 185, 11931, 114, 117, 1134, 1169, 1129, 4029, 3253, 1443, 25128, 16710, 1892, 8130, 119, 185, 11931, 1110, 1861, 1106, 185, 15615, 2589, 1107, 25128, 16710, 4220, 1116, 1272, 1104, 3345, 21176, 2734, 1219, 185, 11931, 7288, 119, 1216, 170, 2443, 4501, 1106, 170, 1167, 19555, 2765, 13221, 15100, 1105, 1231, 18299, 6856, 1105, 14007, 9523, 119, 188, 24655, 1348, 2765, 118, 4408, 5318, 118, 122, 113, 188, 1181, 2087, 1475, 114, 117, 170, 22572, 5521, 21420, 1673, 5318, 4448, 1118, 171, 4206, 6063, 117, 16146, 1116, 1103, 12589, 117, 16358, 5031, 1105, 10348, 1104, 8175, 2765, 1118, 2394, 1916, 22572, 5521, 21420, 3965, 1548, 1105, 22572, 5521, 16339, 8745, 1116, 1154, 1103, 3773, 1751, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 1103, 3007, 1104, 1142, 2025, 1108, 1106, 2561, 25128, 7213, 13119, 188, 2599, 3101, 11015, 1116, 1176, 4885, 5765, 118, 3987, 13441, 113, 185, 15615, 114, 1105, 4885, 5765, 118, 3987, 20497, 27647, 1179, 113, 185, 11931, 114, 4051, 188, 24655, 1348, 2765, 118, 4408, 5318, 118, 122, 113, 188, 1181, 2087, 1475, 114, 1112, 170, 22572, 5521, 21420, 1673, 1106, 21497, 177, 18543, 2042, 12411, 8009, 2176, 25517, 1104, 16225, 5656, 1107, 170, 1554, 15830, 23912, 119, 4069, 131, 1195, 1687, 170, 1554, 15830, 23912, 1107, 1103, 189, 2180, 1732, 19094, 1197, 22482, 1104, 3961, 118, 1565, 20557, 4257, 1104, 8105, 9881, 2581, 25164, 119, 1103, 4257, 1127, 19729, 3233, 1154, 1565, 2114, 113, 1372, 178, 131, 8362, 7877, 2913, 1654, 117, 1372, 102 ]
[ 101, 1122, 1108, 2786, 1872, 1111, 1126, 10712, 8944, 117, 1133, 1122, 1144, 1145, 1151, 1276, 5616, 1107, 9619, 1105, 12477, 8745, 6643, 8057, 12562, 2070, 6360, 113, 184, 1306, 2087, 1197, 114, 119, 1103, 4784, 1104, 172, 1830, 5822, 1144, 1189, 1210, 118, 8611, 14377, 1936, 1107, 184, 1306, 2087, 1197, 119, 172, 1830, 5822, 3272, 170, 124, 1181, 3136, 1106, 2233, 7626, 117, 3077, 10442, 117, 3077, 3934, 117, 1105, 3077, 7628, 119, 172, 1830, 5822, 14884, 1169, 1129, 3890, 1107, 170, 3860, 1603, 1669, 1104, 1159, 117, 1543, 1122, 7891, 1111, 14377, 1482, 1105, 172, 17442, 8005, 22050, 6323, 119, 1103, 5351, 4090, 1103, 8179, 6062, 1112, 1122, 1169, 1129, 1982, 1114, 1103, 5351, 1107, 170, 2288, 1137, 2807, 1700, 119, 1103, 5531, 1110, 6858, 1118, 2698, 3077, 7626, 1114, 3860, 1344, 1210, 118, 8611, 6021, 117, 2211, 8432, 7401, 1106, 4420, 117, 1105, 8307, 10701, 1165, 3402, 1114, 7228, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 119, 1103, 191, 10649, 5999, 1132, 1110, 3329, 27098, 1105, 1103, 6021, 9544, 1121, 121, 119, 5004, 1106, 121, 119, 1512, 2608, 5763, 1113, 1103, 7400, 119, 1292, 4718, 13908, 1211, 1344, 118, 3654, 4321, 118, 16346, 172, 1204, 2338, 1107, 2538, 1104, 15442, 6021, 117, 1842, 1159, 3077, 3622, 117, 1105, 1210, 118, 8611, 3934, 119, 172, 1830, 5822, 2815, 1144, 1151, 1215, 1111, 3073, 19807, 5838, 24034, 9180, 3693, 117, 10540, 1104, 1103, 19946, 117, 1105, 3073, 6385, 10805, 4571, 8670, 1104, 1103, 6028, 3884, 2320, 1111, 1137, 1582, 8032, 16586, 1596, 6059, 119, 1112, 172, 1830, 5822, 2344, 1138, 1561, 1167, 15950, 117, 1157, 1329, 1144, 3388, 2209, 1107, 1103, 1768, 1104, 184, 2430, 18480, 18255, 6360, 119, 172, 1830, 5822, 1104, 1103, 5047, 3811, 164, 3736, 122, 1105, 123, 166, 1110, 3903, 1107, 1103, 4267, 8517, 22583, 1116, 1104, 1211, 12477, 9654, 24211, 6006, 117, 173, 6834, 1643, 22992, 117, 23057, 26052, 117, 4240, 184, 11553, 2285, 8074, 27254, 2042, 2095, 15251, 117, 1137, 1260, 27516, 14797, 119, 1103, 13300, 1105, 20346, 2860, 1104, 172, 1830, 5822, 1138, 1151, 7160, 1107, 1103, 3622, 1104, 1103, 1700, 1104, 1884, 1732, 19094, 1197, 24034, 23288, 1107, 1103, 18107, 6028, 117, 1103, 1714, 5173, 2734, 1104, 1155, 4184, 20519, 2243, 3811, 189, 5168, 14553, 117, 2284, 117, 1137, 11980, 24034, 23288, 119, 1122, 1110, 1145, 1936, 1115, 1103, 10471, 6028, 2401, 1137, 1700, 1104, 1103, 5250, 2050, 22063, 1169, 1129, 3393, 1114, 1344, 13218, 7773, 7468, 1869, 1106, 1103, 12645, 117, 3073, 19807, 5838, 3693, 117, 1105, 13347, 1104, 1107, 4487, 118, 13035, 13522, 119, 2539, 118, 1214, 118, 1385, 2130, 5351, 1114, 7300, 1607, 1104, 4510, 2445, 11534, 1114, 15228, 2042, 12602, 4510, 2445, 119, 172, 1830, 5822, 1104, 18107, 6028, 1210, 118, 8611, 3077, 1114, 1586, 19421, 3884, 15171, 113, 2448, 114, 117, 2196, 2999, 5047, 3811, 131, 3533, 6617, 19878, 5552, 20094, 113, 1653, 15130, 114, 117, 21531, 13292, 8722, 113, 1653, 2851, 114, 117, 1884, 1732, 19094, 113, 3431, 11473, 114, 1105, 4422, 23097, 4649, 7684, 113, 1894, 2851, 114, 119, 1743, 118, 1214, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7298, 3533, 6617, 19878, 5552, 7684, 1260, 27516, 14797, 1110, 170, 3860, 1207, 9318, 1107, 1103, 1768, 1104, 184, 25333, 119, 1122, 1110, 1104, 3655, 3084, 17288, 11124, 1114, 170, 2783, 1104, 21531, 13292, 5552, 1105, 23097, 4649, 8006, 1105, 2070, 13791, 1596, 9505, 1505, 170, 10268, 1648, 1107, 1157, 12645, 119, 15775, 7574, 3254, 18505, 1106, 3702, 8944, 1144, 1151, 2602, 1106, 1129, 170, 3110, 6806, 1107, 1103, 1768, 1104, 184, 2430, 18480, 18255, 6360, 119, 1122, 1110, 170, 1210, 8611, 5531, 1115, 2745, 2211, 8432, 3694, 1107, 8307, 10701, 1105, 3272, 2299, 6021, 1165, 3402, 1114, 4321, 118, 16346, 3254, 18505, 1106, 3702, 8944, 119, 1122, 1110, 1737, 1106, 1129, 1126, 6548, 14377, 182, 16848, 11796, 1111, 2070, 7810, 10016, 1104, 1103, 3811, 119, 102 ]
[ 101, 2425, 172, 6834, 2145, 1138, 170, 7265, 174, 18965, 18809, 3656, 1105, 3718, 172, 6834, 1204, 1180, 1129, 3718, 1106, 14780, 119, 174, 25786, 1200, 3702, 2386, 188, 7136, 7770, 172, 6834, 2145, 1132, 1859, 1104, 2425, 14255, 4915, 19058, 172, 6834, 2145, 1115, 4651, 1126, 174, 18965, 18809, 2916, 16126, 117, 6199, 3718, 172, 6834, 2145, 117, 1134, 1132, 2766, 1104, 20497, 12725, 1361, 14749, 117, 1165, 1103, 172, 6834, 1204, 1110, 1415, 1152, 1138, 1664, 20080, 10294, 19814, 24716, 8006, 1176, 2489, 117, 22882, 117, 1137, 170, 185, 1348, 20786, 3367, 1932, 1107, 1103, 1286, 3105, 186, 18413, 6922, 119, 174, 25786, 1200, 3702, 2386, 172, 6834, 2145, 1105, 18311, 27702, 172, 6834, 2145, 1132, 5136, 1104, 2425, 172, 6834, 2145, 1105, 1932, 1138, 170, 5263, 8685, 1113, 14377, 119, 2693, 14377, 182, 16848, 16652, 1105, 1103, 5351, 188, 1607, 117, 1122, 1169, 1129, 2846, 1106, 4267, 8517, 22583, 1126, 174, 25786, 1200, 3702, 2386, 172, 6834, 1204, 1443, 170, 1117, 2430, 7810, 8179, 119, 1103, 3007, 1104, 1142, 2526, 1110, 1106, 6265, 7898, 1105, 1120, 1183, 15328, 2070, 7810, 8685, 1104, 2425, 188, 7136, 7770, 172, 6834, 2145, 1259, 174, 25786, 1200, 3702, 2386, 172, 6834, 2145, 119, 170, 4062, 118, 1214, 118, 1385, 2130, 2756, 1106, 1103, 5048, 1606, 2029, 6312, 1114, 11344, 1104, 1286, 3105, 186, 18413, 6922, 24716, 2489, 117, 22882, 1105, 26979, 1158, 1111, 170, 2337, 1552, 119, 1131, 1125, 2418, 2657, 1607, 1104, 177, 24312, 23826, 1988, 117, 176, 25081, 117, 1105, 177, 24312, 10913, 3269, 8191, 1114, 170, 171, 3080, 1104, 3413, 119, 126, 1105, 1185, 2166, 13467, 1607, 119, 5351, 1125, 8204, 9987, 16595, 1160, 1201, 2988, 117, 1674, 1136, 3668, 6272, 1137, 1329, 1251, 5178, 22308, 5557, 119, 2952, 12211, 1108, 2418, 1106, 1217, 21461, 8886, 1106, 185, 1348, 22578, 1166, 1123, 1286, 3105, 186, 18413, 6922, 119, 9301, 1116, 117, 2335, 1892, 5099, 117, 3501, 25158, 5962, 117, 11911, 3053, 5715, 117, 1105, 19968, 3622, 1127, 1155, 1439, 2999, 6263, 119, 24716, 18737, 22909, 113, 20497, 1403, 119, 122, 114, 5173, 2200, 170, 128, 119, 128, 3975, 2703, 3367, 1107, 1103, 27598, 7631, 1104, 1103, 188, 7136, 1424, 119, 123, 114, 3090, 170, 177, 1183, 5674, 2883, 2217, 172, 6834, 2941, 3367, 1107, 1103, 27598, 7631, 1104, 1103, 188, 7136, 1424, 10099, 1275, 119, 125, 3975, 129, 119, 123, 3975, 1114, 170, 16358, 17096, 2427, 1120, 5208, 10255, 1104, 1405, 132, 4051, 2967, 175, 13335, 1182, 1104, 7930, 1114, 16358, 17096, 2427, 1120, 5208, 10255, 1104, 9081, 119, 5351, 1108, 4260, 1106, 1138, 170, 12597, 172, 6834, 2941, 14601, 1104, 3655, 3084, 17288, 1443, 1251, 12104, 13522, 1120, 1142, 1553, 119, 1170, 1263, 6145, 1114, 1103, 5351, 1114, 1142, 1415, 172, 6834, 2941, 3367, 1104, 1103, 188, 7136, 1424, 1104, 3655, 3507, 4807, 117, 188, 7136, 21032, 18574, 1108, 2356, 1106, 1103, 5351, 119, 1131, 9315, 19616, 1204, 2365, 4443, 14452, 21442, 1289, 118, 6842, 188, 7136, 21032, 18574, 127, 2277, 1170, 8685, 1106, 1103, 5048, 119, 1131, 1598, 1106, 1138, 1126, 19616, 1204, 2365, 7593, 1113, 2812, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 12976, 20080, 7836, 1596, 24309, 1132, 1136, 1887, 117, 1242, 1169, 1138, 10298, 1106, 1185, 8006, 117, 1105, 1152, 1169, 1129, 1276, 4497, 2716, 119, 188, 7136, 7770, 24309, 1169, 1129, 2425, 1137, 27154, 27372, 119, 1152, 1169, 1129, 26181, 11368, 1137, 12477, 2646, 15454, 119, 188, 7136, 7770, 172, 6834, 2145, 1169, 1129, 20342, 117, 23057, 1137, 14255, 4915, 19058, 119, 174, 25786, 1200, 3702, 2386, 188, 7136, 7770, 172, 6834, 2145, 1336, 1136, 1579, 1675, 1107, 170, 5263, 4633, 1113, 14377, 117, 1543, 12645, 10467, 119, 1242, 188, 7136, 7770, 12980, 1105, 2703, 172, 6834, 2145, 1156, 4752, 13467, 3507, 7542, 12645, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4106, 6997, 16565, 1132, 1218, 118, 3037, 1297, 8400, 2645, 1107, 4600, 5677, 26965, 113, 1177, 1204, 114, 117, 8199, 1107, 11911, 26965, 18509, 119, 2989, 1105, 4801, 5320, 1132, 3607, 1105, 1696, 1260, 2083, 14503, 5240, 4423, 1103, 174, 25786, 5521, 17288, 1104, 4106, 6997, 16565, 1107, 26965, 1891, 119, 1103, 21014, 1105, 170, 26883, 4807, 1104, 4106, 6997, 16565, 11271, 12235, 1206, 23123, 10024, 5674, 22331, 1596, 8175, 2765, 26965, 1891, 1105, 1177, 1204, 119, 1107, 1103, 1314, 1372, 117, 1343, 4172, 13093, 176, 15371, 1116, 1138, 1103, 2439, 21014, 113, 128, 119, 130, 110, 114, 1723, 1118, 1762, 113, 124, 119, 125, 110, 114, 117, 11911, 113, 124, 119, 122, 110, 114, 117, 16042, 113, 122, 119, 122, 110, 114, 117, 1105, 13316, 13782, 2225, 113, 121, 119, 128, 110, 114, 119, 1107, 11911, 26965, 1174, 4420, 117, 1103, 21014, 1104, 19849, 4106, 6997, 16565, 9123, 1121, 125, 1106, 1851, 110, 1105, 1169, 3309, 1810, 188, 8661, 119, 1105, 1112, 3365, 20254, 1361, 188, 8661, 4106, 6997, 2195, 13064, 1105, 4841, 12734, 13064, 16565, 1132, 3933, 2628, 1114, 1234, 1114, 1848, 2619, 2272, 1106, 6487, 1137, 21292, 1250, 1105, 1103, 3990, 1104, 1103, 18142, 1110, 21582, 1118, 25395, 5917, 2416, 1118, 24438, 8456, 1116, 117, 188, 1643, 22761, 1468, 117, 10821, 117, 3576, 119, 1103, 10765, 1132, 1103, 1211, 4634, 117, 1133, 1168, 1404, 2192, 1169, 1145, 1129, 2017, 119, 13000, 13380, 1465, 1704, 5924, 1511, 1103, 1707, 1104, 1843, 118, 12026, 185, 2328, 8209, 28113, 7490, 20080, 12238, 1107, 9236, 117, 1105, 170, 1129, 3715, 1104, 6649, 3384, 170, 15328, 3652, 164, 127, 117, 128, 166, 119, 1199, 1530, 1132, 3037, 1106, 2612, 2195, 13064, 185, 2328, 8209, 7889, 7880, 18574, 13538, 1279, 1105, 1132, 1758, 1112, 8999, 3507, 19790, 1116, 1107, 13280, 13601, 2728, 8178, 1643, 16071, 3673, 4420, 117, 1217, 26965, 1891, 1103, 1211, 1887, 3187, 5318, 1105, 1145, 2628, 1106, 1103, 1329, 1104, 3073, 22834, 7614, 1162, 119, 170, 2625, 118, 1214, 118, 1385, 2581, 11019, 23315, 11890, 1108, 4379, 1107, 170, 4167, 21943, 4807, 18261, 1104, 170, 2129, 2704, 1107, 181, 1548, 8868, 1113, 5050, 170, 1643, 13217, 1387, 119, 1103, 5351, 2756, 1114, 1160, 2489, 2008, 117, 2698, 118, 2898, 6873, 11806, 1134, 1125, 1872, 1439, 125, 118, 1808, 119, 1141, 1104, 1103, 6873, 11806, 1108, 1388, 1113, 1103, 1268, 3420, 1105, 1103, 1168, 1141, 1113, 1103, 1202, 1733, 1818, 1104, 1103, 1286, 1289, 113, 20497, 5700, 119, 122, 1105, 123, 114, 119, 1119, 1125, 170, 7300, 1607, 1104, 127, 118, 1808, 11911, 26965, 1891, 1105, 1120, 1103, 1159, 1104, 8310, 1108, 1223, 13280, 13601, 14226, 4455, 16568, 7606, 1114, 27629, 1665, 13166, 26552, 129, 17713, 1517, 170, 1285, 117, 1139, 2528, 27801, 2728, 8052, 182, 10008, 26883, 1233, 2260, 17713, 3059, 170, 1285, 1105, 3073, 22834, 7614, 1162, 1406, 17713, 1517, 170, 1285, 119, 1103, 5351, 2752, 170, 2166, 1607, 113, 2166, 1106, 1103, 26965, 1891, 114, 1104, 5035, 2619, 1114, 6539, 2241, 5917, 119, 2952, 8179, 3090, 170, 1218, 118, 3393, 14044, 25669, 15391, 10024, 1361, 6873, 8722, 1114, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4106, 6997, 19849, 16565, 1132, 4054, 1107, 1704, 1416, 1133, 1132, 1126, 12982, 2227, 2612, 1104, 8974, 1107, 1103, 13280, 13601, 2728, 8178, 1643, 16071, 2200, 1416, 117, 2108, 1107, 1103, 4600, 5677, 26965, 18509, 119, 1303, 1394, 1103, 5752, 2592, 170, 7300, 1692, 1104, 170, 11911, 26965, 1174, 5351, 5601, 170, 2195, 13064, 1884, 118, 4056, 3452, 8974, 1114, 170, 119, 13000, 24226, 1161, 1112, 1218, 1112, 170, 119, 1107, 11916, 16420, 119, 1106, 1412, 3044, 1142, 1110, 1103, 1148, 1692, 1104, 2195, 13064, 14255, 8178, 5168, 2227, 8974, 1496, 1106, 1343, 1160, 1530, 2103, 1136, 1178, 1107, 4104, 15650, 1233, 1133, 1145, 4529, 119, 1103, 5351, 1108, 5165, 1114, 13467, 4252, 16073, 1104, 1103, 26052, 1105, 9619, 1122, 19366, 7637, 6112, 1233, 1443, 1231, 102 ]
[ 101, 19916, 2527, 1138, 2602, 1103, 21378, 1104, 4443, 14452, 21442, 12647, 6696, 10294, 18778, 1183, 1107, 1103, 3252, 1104, 12104, 12647, 6696, 22308, 1548, 119, 1649, 117, 1142, 5531, 1144, 1136, 1870, 3388, 6506, 10030, 1272, 1104, 1157, 2039, 13035, 1159, 1105, 2211, 2616, 12949, 1165, 3402, 1114, 1103, 1501, 3136, 119, 1167, 5909, 117, 1780, 2793, 18675, 2527, 1138, 2602, 1115, 4443, 14452, 21442, 12647, 6696, 10294, 18778, 1183, 1110, 2628, 1114, 170, 5409, 7681, 2704, 2215, 117, 1168, 3756, 10541, 1185, 2418, 3719, 1107, 2704, 2215, 1165, 1103, 4443, 14452, 21442, 1105, 1103, 1501, 3136, 1127, 3402, 119, 1103, 8715, 16046, 14452, 21442, 3136, 1110, 2628, 1114, 1750, 24716, 2095, 14780, 117, 170, 2211, 8974, 2603, 1120, 1103, 189, 2180, 8766, 1751, 1105, 24716, 2095, 1123, 5813, 117, 1105, 6570, 6548, 1884, 6602, 9265, 2686, 119, 1107, 1142, 2025, 117, 1412, 2273, 1108, 1106, 12434, 1103, 3429, 1105, 1437, 1103, 175, 14517, 7706, 1104, 1103, 8715, 16046, 14452, 21442, 3136, 1111, 1103, 3252, 1104, 12104, 12647, 6696, 22308, 1548, 119, 1206, 1336, 1729, 1105, 179, 10038, 1630, 117, 170, 8715, 16046, 14452, 21442, 12647, 6696, 10294, 18778, 1183, 1108, 3867, 1107, 3413, 4420, 1114, 170, 3073, 19807, 5838, 12645, 1104, 12104, 12647, 6696, 22308, 1548, 1105, 1443, 170, 2166, 1607, 1104, 24716, 12814, 3377, 119, 1103, 185, 1673, 1818, 19807, 8383, 1673, 1818, 1108, 1687, 1118, 27914, 1104, 170, 1396, 7370, 13864, 1194, 170, 1353, 1107, 16073, 1107, 1103, 15276, 15197, 14191, 119, 170, 123, 119, 123, 118, 2608, 189, 2180, 8766, 1108, 1973, 11937, 1193, 1106, 1103, 1286, 1231, 18045, 170, 1830, 9277, 4729, 1116, 6484, 1105, 1462, 1106, 19109, 170, 123, 119, 123, 118, 2608, 117, 121, 118, 2178, 4443, 14452, 15300, 119, 1330, 126, 118, 2608, 189, 2180, 8766, 1108, 1973, 1198, 2071, 1103, 15276, 15197, 4571, 172, 15691, 1105, 1108, 1215, 1111, 1103, 18737, 19500, 23658, 1883, 119, 170, 1503, 123, 119, 123, 118, 2608, 189, 2180, 8766, 1108, 1973, 28117, 20488, 16091, 15421, 2716, 1107, 1103, 2286, 2568, 1105, 1108, 1215, 1111, 10598, 1200, 2469, 119, 10016, 1104, 1103, 1268, 2211, 24716, 19421, 3626, 1719, 1126, 1107, 2087, 7609, 1174, 12647, 6696, 7231, 1137, 4741, 1149, 12647, 6696, 27989, 1348, 3507, 4807, 119, 1107, 1103, 2915, 1104, 12647, 6696, 27989, 1348, 3507, 4807, 117, 1103, 12647, 6696, 7231, 1108, 1316, 1114, 1126, 1120, 1611, 25930, 10598, 1200, 1105, 4267, 11553, 8436, 1114, 170, 126, 118, 2608, 18737, 19500, 23658, 1883, 119, 1126, 1322, 12805, 4184, 1108, 11059, 1120, 1103, 2259, 1104, 1103, 12647, 6696, 7231, 1105, 4353, 122, 3975, 4267, 19760, 1193, 1106, 1157, 2259, 119, 1103, 12647, 6696, 7231, 1108, 1173, 4267, 11553, 8436, 1118, 1606, 1126, 18737, 19500, 23658, 1883, 1105, 1973, 1107, 170, 188, 2083, 4759, 129, 1105, 122, 120, 123, 118, 2060, 20155, 3602, 1215, 1112, 170, 11678, 3821, 1105, 2856, 1194, 1103, 126, 118, 2608, 189, 2180, 8766, 1751, 119, 1155, 9985, 1127, 1850, 1106, 1103, 3507, 4807, 8087, 1111, 3622, 119, 1120, 1103, 1322, 1104, 1103, 7791, 117, 1155, 189, 2180, 18633, 1127, 2856, 1105, 1103, 175, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 8715, 16046, 14452, 21442, 12647, 6696, 10294, 18778, 1183, 1111, 12647, 6696, 22308, 1548, 1110, 1136, 170, 1218, 118, 1628, 7791, 119, 1142, 3136, 2790, 1750, 24716, 2095, 14780, 117, 8307, 13522, 117, 1105, 6548, 1884, 6602, 9265, 2686, 119, 1412, 6457, 1108, 1106, 1437, 1103, 175, 14517, 7706, 1105, 3429, 1104, 1103, 8715, 16046, 14452, 21442, 3136, 119, 4069, 131, 8715, 16046, 14452, 21442, 12647, 6696, 10294, 18778, 1183, 1108, 1982, 1107, 3413, 4420, 119, 1160, 123, 119, 123, 118, 2608, 189, 2180, 18633, 1127, 1215, 1106, 19109, 170, 123, 119, 123, 118, 2608, 117, 121, 118, 2178, 4443, 14452, 15300, 1105, 1111, 10598, 1200, 2469, 119, 170, 126, 118, 2608, 189, 2180, 8766, 1108, 1215, 1111, 1103, 18737, 19500, 23658, 1883, 119, 102 ]
[ 101, 4910, 2332, 2645, 117, 1216, 1112, 7560, 1105, 10507, 11759, 117, 1132, 1510, 1223, 1874, 2528, 22152, 5305, 1105, 8362, 7877, 2913, 119, 119, 2799, 1115, 1103, 11870, 1104, 1217, 5165, 6986, 1114, 1103, 20997, 1104, 1103, 6946, 117, 1133, 1145, 1115, 1544, 1104, 1343, 4634, 1118, 170, 3021, 4910, 6946, 1915, 8362, 7877, 2913, 119, 1122, 1110, 3123, 1106, 2437, 1115, 170, 3021, 3879, 2993, 3252, 1106, 3644, 13522, 1216, 1112, 5680, 117, 1444, 1104, 1107, 27420, 1920, 117, 1105, 13996, 119, 1649, 117, 2527, 1138, 2602, 1115, 1103, 3187, 1104, 1216, 13522, 1225, 1136, 11271, 5409, 1206, 10496, 2769, 1104, 4910, 6946, 3402, 1106, 8828, 2769, 119, 1107, 1317, 2527, 117, 1213, 1544, 1104, 1343, 4634, 1118, 9189, 13632, 1137, 17123, 4267, 8517, 22583, 1116, 1649, 117, 1256, 1191, 1152, 5622, 117, 1103, 11432, 2603, 1104, 17123, 8006, 1110, 1822, 119, 170, 2793, 27154, 118, 3622, 1104, 2527, 4423, 1704, 16681, 2912, 1106, 6239, 10496, 7560, 2799, 170, 11432, 15750, 1104, 4376, 119, 126, 110, 119, 1142, 22663, 1103, 4495, 1104, 1748, 4138, 1103, 6885, 1104, 10496, 2740, 1104, 4910, 6946, 119, 1107, 2425, 1920, 117, 170, 6047, 2656, 1104, 4420, 4634, 1118, 7560, 1105, 10507, 1675, 1114, 1177, 10734, 8006, 164, 1429, 117, 1367, 166, 119, 1177, 10734, 11344, 1511, 2607, 1107, 21518, 1105, 181, 21883, 2572, 117, 2960, 1104, 2308, 117, 2946, 19019, 1116, 117, 4267, 15284, 1757, 117, 185, 1348, 18965, 6006, 117, 173, 6834, 1643, 2728, 4490, 117, 1105, 1704, 12953, 1116, 117, 1105, 24782, 1216, 1112, 16320, 117, 1171, 1105, 1168, 182, 1361, 10182, 8867, 13622, 21470, 2489, 117, 1105, 3245, 8005, 10879, 2556, 14196, 19019, 1116, 119, 12760, 4983, 4634, 1118, 4910, 6946, 117, 1133, 5788, 1920, 1111, 1177, 10734, 8006, 117, 1110, 170, 1558, 7262, 2108, 1107, 1103, 2425, 1920, 3545, 117, 1496, 1106, 1241, 5351, 118, 2272, 2492, 1112, 1218, 1112, 7454, 118, 2272, 2492, 119, 1122, 1110, 1104, 4495, 1115, 1177, 10734, 8006, 2628, 1114, 4910, 2332, 11759, 1132, 1136, 4853, 1114, 1177, 21943, 10008, 24211, 11759, 113, 178, 119, 174, 119, 117, 7497, 117, 1177, 21943, 2734, 117, 177, 1183, 5674, 8401, 3276, 3464, 4863, 117, 1105, 1177, 21943, 2734, 8936, 114, 119, 1103, 3044, 1104, 5320, 1107, 2087, 19224, 16368, 1920, 5788, 1107, 4983, 4634, 1118, 1260, 16568, 1105, 10507, 11759, 1107, 1103, 1416, 1110, 2609, 119, 7544, 117, 1122, 1110, 1696, 1106, 8468, 21977, 6859, 1566, 5320, 2628, 1114, 1920, 5788, 1107, 1292, 2114, 117, 1166, 1155, 117, 1105, 5320, 2628, 1114, 1136, 5788, 1920, 1111, 9189, 8006, 119, 1142, 2025, 8469, 1106, 5594, 1103, 22760, 1104, 1920, 5788, 1621, 4983, 1114, 7560, 1105, 10507, 11759, 1606, 2233, 1121, 170, 1416, 118, 1359, 2025, 1107, 188, 11547, 1424, 119, 1148, 117, 1195, 6457, 1106, 2025, 2480, 4634, 4983, 5622, 1920, 1105, 1191, 1920, 5788, 1110, 2628, 1114, 20650, 25726, 5320, 1105, 2332, 2781, 119, 1748, 117, 1195, 6457, 1106, 2025, 1191, 1343, 1150, 5622, 1920, 1111, 9189, 8006, 1120, 1103, 1704, 16681, 11271, 3402, 1106, 1343, 1150, 5622, 1920, 1121, 1168, 2332, 1920, 3380, 1137, 1202, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 119, 1107, 2425, 1920, 117, 170, 6047, 2656, 1104, 4420, 4634, 1114, 7560, 1105, 10507, 1675, 1114, 1177, 10734, 8006, 119, 11432, 2603, 1104, 17123, 8006, 1110, 1822, 117, 1105, 3044, 1104, 5320, 1107, 2087, 19224, 16368, 1920, 5788, 1107, 4983, 4634, 1118, 1260, 16568, 1105, 10507, 11759, 1113, 170, 1416, 1634, 1110, 2609, 119, 7649, 119, 1142, 2025, 8469, 1106, 5594, 1191, 4983, 117, 4634, 1118, 7560, 1105, 10507, 11759, 117, 5622, 1920, 1105, 1134, 2076, 1104, 1920, 1152, 5622, 1112, 1218, 1112, 5320, 2628, 1114, 1920, 5788, 119, 3442, 119, 2233, 12301, 1121, 170, 23191, 1416, 118, 1359, 2025, 1104, 4910, 2332, 3303, 1107, 1103, 4482, 20798, 2514, 1107, 1772, 10973, 10424, 1105, 1103, 1675, 2025, 2075, 6032, 1604, 1559, 5174, 119, 16687, 102 ]
[ 101, 2693, 4265, 7234, 1116, 1107, 20060, 5600, 117, 6486, 5914, 2606, 170, 2129, 1297, 2273, 1107, 1211, 9306, 119, 1107, 2793, 1201, 117, 5070, 1107, 2657, 2815, 1144, 2356, 2810, 1106, 1242, 1107, 6732, 23677, 5509, 117, 2108, 1107, 1103, 1872, 1362, 119, 1103, 1366, 1110, 1141, 1104, 1103, 2182, 1114, 1103, 2439, 2603, 1104, 2967, 20665, 1107, 1103, 1362, 119, 1142, 2603, 1110, 2626, 6547, 1106, 1103, 2569, 1329, 1104, 6842, 17505, 7951, 113, 1893, 114, 1107, 11190, 10203, 119, 1103, 1295, 1104, 12237, 1255, 1106, 176, 16144, 15937, 8910, 25232, 1116, 2569, 1106, 5840, 110, 1107, 1198, 125, 1201, 117, 1121, 1516, 1106, 1369, 119, 178, 23851, 1389, 2754, 2412, 10500, 1482, 1112, 10455, 9794, 117, 1105, 4411, 1482, 1110, 1103, 8148, 2255, 1111, 2742, 1621, 1242, 5509, 119, 1515, 1482, 1110, 2412, 4485, 1112, 18185, 1103, 5375, 1104, 1103, 1266, 1105, 1112, 170, 2951, 1104, 8268, 1106, 178, 23851, 1389, 3057, 4718, 119, 1107, 6732, 20688, 1110, 170, 1934, 1113, 1361, 1111, 1535, 1150, 1132, 2637, 1106, 3133, 1482, 1346, 1439, 2742, 1107, 178, 4047, 119, 2452, 1106, 1103, 1362, 2332, 2369, 117, 1166, 2908, 1550, 1234, 113, 1164, 1275, 118, 1405, 110, 114, 1104, 1103, 2073, 2541, 1107, 6732, 20688, 119, 1107, 178, 4047, 117, 1142, 2415, 1104, 15273, 1126, 9712, 1830, 26503, 1137, 175, 16311, 1121, 1141, 192, 20972, 1106, 1330, 1110, 1136, 12031, 1107, 188, 3031, 3150, 179, 8212, 20080, 18424, 119, 1211, 1844, 1279, 1138, 3378, 1113, 170, 1295, 1104, 2747, 2492, 1216, 1112, 15708, 1105, 23979, 1106, 8910, 25232, 14416, 132, 5758, 117, 5924, 117, 1105, 15710, 1116, 1104, 8910, 25232, 12694, 132, 1105, 2607, 1107, 21138, 1104, 1103, 26239, 12694, 119, 1229, 1199, 6962, 1138, 2602, 1115, 7550, 4531, 3110, 6288, 1112, 170, 1871, 1104, 1107, 6732, 20688, 1105, 1157, 3252, 117, 1105, 1535, 4531, 1167, 6600, 1190, 1147, 6449, 117, 1105, 1142, 5318, 1336, 8513, 1147, 6350, 1114, 1103, 6486, 1158, 1965, 117, 1107, 170, 18675, 186, 4746, 24936, 2025, 1107, 26006, 117, 182, 19495, 21275, 3084, 2393, 119, 2799, 1115, 2032, 1103, 10203, 1669, 1104, 170, 8910, 25232, 1534, 117, 5509, 6901, 1147, 3001, 1104, 10507, 1112, 1822, 1105, 1147, 2541, 1112, 3112, 117, 1105, 1107, 185, 10733, 3080, 112, 188, 25220, 2025, 117, 1211, 1104, 1103, 8910, 25232, 1105, 26239, 12694, 1225, 1136, 4615, 8910, 24081, 15347, 170, 20405, 2486, 119, 180, 6726, 1105, 2448, 7355, 1276, 1115, 1107, 1107, 191, 2875, 2180, 175, 7340, 15100, 113, 178, 1964, 2087, 114, 117, 1535, 4531, 1167, 10241, 1114, 1217, 1682, 1106, 1243, 6391, 1190, 1103, 1535, 1150, 10187, 8534, 1105, 2103, 10558, 10507, 1112, 1103, 10203, 12687, 119, 1780, 8910, 24081, 15347, 1110, 7588, 1694, 1114, 178, 1964, 2087, 5531, 117, 1103, 2501, 3719, 1206, 8910, 24081, 15347, 1114, 1168, 4069, 1104, 178, 1964, 2087, 1110, 1115, 26239, 12694, 1107, 8910, 24081, 15347, 1209, 1136, 2541, 1103, 2952, 2607, 1104, 10203, 119, 1211, 1104, 1103, 2527, 1107, 178, 4047, 1138, 3378, 1113, 13682, 8910, 24081, 15347, 117, 15107, 1103, 2732, 5402, 117, 15380, 5402, 117, 5980, 1104, 3057, 15149, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 1175, 1132, 170, 1374, 2527, 1164, 26239, 12694, 4287, 1121, 1103, 8910, 24081, 15347, 1219, 130, 1808, 1104, 2613, 1111, 6779, 1107, 178, 4047, 1105, 1168, 2182, 119, 1142, 2025, 1108, 3303, 1114, 1126, 6457, 1106, 8664, 1105, 4137, 1103, 2731, 1104, 5365, 113, 5758, 114, 1104, 26239, 12694, 119, 3881, 1105, 4069, 131, 170, 186, 4746, 24936, 1902, 1114, 170, 7228, 3438, 3622, 3136, 1108, 1215, 1106, 8422, 1105, 19774, 1103, 5758, 1104, 26239, 12694, 119, 1152, 1127, 2700, 1121, 187, 22044, 1179, 1844, 2642, 1105, 1168, 1107, 6732, 20688, 6425, 1107, 178, 4047, 119, 1170, 23609, 15615, 2155, 2109, 18200, 1111, 1103, 4557, 1104, 1103, 6635, 117, 8362, 25198, 1181, 7397, 1127, 1316, 1111, 2233, 2436, 119, 2570, 118, 1300, 8362, 25198, 102 ]
[ 101, 27419, 1104, 1103, 25128, 19667, 27808, 1121, 1103, 1602, 13407, 24674, 12816, 1144, 3657, 1107, 170, 8973, 1104, 5297, 8468, 21977, 6859, 6126, 119, 1103, 12816, 1121, 1103, 182, 12666, 1361, 6063, 1144, 1687, 170, 1632, 2199, 2019, 1157, 25128, 19667, 10799, 1114, 10480, 2848, 2822, 25857, 2916, 117, 2848, 8928, 6334, 117, 2848, 1513, 16140, 7257, 117, 1105, 2848, 25740, 1348, 2619, 119, 1103, 12816, 1110, 25292, 1121, 1103, 12816, 176, 1931, 1104, 1103, 4816, 16423, 25338, 2646, 2758, 3840, 2497, 15776, 2646, 1194, 1103, 12816, 26862, 1106, 3359, 1121, 1157, 15334, 119, 1103, 1602, 13407, 1880, 1108, 1276, 1106, 1129, 1143, 21690, 1179, 1105, 1103, 1965, 1104, 1143, 4371, 19790, 16317, 1108, 3716, 1107, 1103, 12816, 176, 1931, 1104, 14516, 15748, 188, 1643, 119, 119, 1103, 12816, 1110, 170, 2703, 7759, 1104, 5677, 18840, 117, 3073, 10212, 7428, 11743, 1116, 117, 1143, 4371, 22354, 6801, 117, 176, 4047, 11806, 117, 5250, 1566, 1596, 2578, 113, 17664, 114, 117, 176, 7535, 13538, 19577, 117, 1105, 185, 15342, 7880, 11014, 25786, 1116, 1107, 8605, 119, 1120, 1103, 1721, 1104, 16026, 1103, 12816, 176, 1931, 1144, 1151, 1145, 2602, 1106, 4651, 170, 2783, 1104, 1143, 4371, 17960, 17664, 1112, 189, 12577, 2155, 16924, 1162, 117, 1202, 4163, 1732, 11457, 24609, 23806, 6530, 117, 1105, 1679, 10649, 23358, 1162, 119, 1103, 12816, 1144, 1145, 1672, 2425, 3573, 1107, 1103, 1362, 1104, 4174, 5182, 1105, 1144, 1103, 2043, 2050, 2079, 1104, 20340, 4048, 119, 2693, 1292, 3756, 1175, 1110, 1185, 5602, 2199, 2602, 2019, 1103, 23609, 12231, 8826, 1104, 1103, 181, 119, 3840, 2497, 15776, 2646, 112, 188, 12816, 119, 3209, 5297, 26602, 1107, 4816, 16423, 12816, 1138, 1151, 3626, 1105, 186, 27280, 6202, 1606, 7936, 118, 4065, 117, 1344, 118, 2099, 117, 6161, 22572, 18885, 22556, 113, 187, 1643, 118, 6857, 1233, 1665, 114, 119, 1177, 1142, 2025, 1110, 5850, 1120, 12138, 1103, 2327, 25128, 7235, 2050, 2875, 23404, 2145, 1104, 1103, 12816, 1118, 27466, 9538, 27426, 5551, 22572, 18885, 22556, 1105, 1103, 3245, 22572, 18885, 22556, 118, 3367, 188, 26426, 5864, 22258, 3622, 113, 176, 1665, 118, 182, 1116, 114, 1111, 1157, 2848, 7257, 2180, 23467, 27808, 119, 1103, 2436, 1104, 12816, 1105, 1103, 14699, 27624, 16026, 1104, 1103, 27808, 1121, 181, 119, 3840, 2497, 15776, 2646, 12816, 1108, 1694, 1118, 1103, 3442, 1723, 2206, 119, 1103, 14699, 16143, 1116, 1127, 13927, 1106, 188, 2083, 13378, 9444, 1170, 15952, 1103, 16143, 1116, 1223, 190, 1964, 1609, 1111, 123, 177, 1733, 119, 126, 17713, 1104, 1296, 16143, 1108, 3216, 1107, 188, 2083, 4759, 22664, 27286, 9304, 12858, 1105, 1108, 1107, 10182, 13859, 1181, 1111, 123, 177, 1733, 1134, 1108, 4885, 1181, 2135, 22664, 27286, 170, 5526, 1111, 9444, 1103, 188, 2083, 13378, 1104, 1103, 16143, 1116, 119, 1103, 2848, 7257, 2180, 23467, 3246, 1104, 1103, 14699, 16143, 1116, 1108, 1982, 1118, 7228, 170, 5526, 1218, 22873, 3442, 119, 1103, 183, 118, 1119, 20192, 1673, 16143, 1144, 2297, 1107, 1412, 2206, 3756, 170, 1344, 2848, 7257, 2180, 23467, 2400, 1222, 1103, 7300, 19560, 1105, 4106, 6997, 1110, 14995, 1116, 119, 2456, 1103, 183, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 22572, 18885, 2430, 11293, 27419, 1105, 1103, 176, 1665, 118, 182, 1116, 10540, 1104, 1103, 1602, 13407, 24674, 12816, 1104, 25338, 2646, 2758, 3840, 2497, 15776, 2646, 1107, 1103, 1675, 2025, 1138, 18826, 1126, 9245, 1104, 25128, 19667, 10071, 1114, 18106, 2848, 7257, 2180, 23467, 2400, 119, 4749, 1126, 8819, 1104, 2848, 7257, 2180, 23467, 4789, 18526, 117, 170, 1444, 1111, 8468, 21977, 6859, 1916, 2848, 7257, 2180, 23467, 5789, 1121, 2379, 3509, 1209, 1129, 1103, 1444, 1111, 1103, 2396, 119, 1107, 1142, 2458, 117, 1142, 2025, 1110, 5850, 1120, 1959, 4404, 1103, 1602, 13407, 24674, 12816, 1104, 1103, 1107, 10359, 4816, 16423, 181, 119, 3840, 2497, 15776, 2646, 119, 1103, 4816, 16423, 12816, 1108, 13927, 1106, 14699, 27624, 16026, 1105, 1108, 13394, 2913, 1118, 27466, 102 ]
[ 101, 1107, 2793, 1201, 117, 3850, 118, 8468, 16065, 2118, 188, 5208, 2145, 113, 3532, 114, 1138, 1151, 7160, 1106, 12235, 4851, 1103, 2603, 1104, 1832, 26601, 4863, 1105, 1103, 1444, 1111, 9488, 1231, 11509, 11702, 2734, 119, 122, 118, 124, 114, 2693, 1292, 10480, 2686, 117, 188, 5208, 1204, 24438, 16071, 18071, 1548, 3093, 1106, 4467, 1167, 3933, 1114, 3532, 1105, 1510, 3093, 1106, 1129, 2628, 1114, 172, 13200, 12894, 1403, 9261, 4789, 119, 125, 114, 1195, 2592, 170, 1692, 1104, 1231, 21754, 188, 5208, 1204, 24438, 16071, 18071, 1548, 2628, 1114, 172, 13200, 12894, 1403, 9261, 4789, 1107, 170, 5351, 1114, 12104, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 119, 170, 5519, 118, 1214, 118, 1385, 2130, 1108, 3175, 1106, 1103, 5241, 2853, 19533, 1104, 16863, 2229, 2489, 1115, 1125, 2569, 1166, 1103, 1763, 4030, 2005, 119, 1131, 9315, 12982, 2227, 1884, 15789, 1616, 1126, 10712, 8944, 113, 11019, 1403, 114, 117, 1134, 3090, 3607, 188, 5208, 11776, 1107, 1103, 5250, 23984, 1105, 2243, 1286, 16557, 16610, 1884, 15789, 1616, 18593, 113, 19122, 114, 119, 1131, 1108, 4358, 5165, 1114, 1160, 185, 7409, 12888, 7897, 11194, 25937, 1158, 188, 5208, 2145, 113, 124, 119, 5187, 1477, 2608, 1105, 123, 119, 3882, 1604, 2608, 3641, 1361, 188, 5208, 2145, 117, 171, 15540, 1320, 3812, 117, 3455, 117, 185, 1161, 117, 1366, 1161, 114, 1107, 1103, 5250, 23984, 1105, 2243, 19122, 113, 20497, 1403, 119, 1131, 1108, 5165, 1114, 9225, 2848, 16671, 5765, 7606, 113, 1112, 8508, 4854, 1620, 17713, 117, 172, 13200, 12894, 1403, 9261, 3453, 17713, 117, 1105, 172, 24755, 8419, 6112, 1233, 2363, 17713, 3828, 114, 1272, 1131, 1108, 1276, 1106, 1129, 177, 1183, 22708, 5674, 2316, 2109, 1106, 172, 13200, 12894, 1403, 9261, 1165, 7289, 1111, 8050, 26601, 10606, 1162, 20866, 15342, 20695, 2217, 113, 8050, 1643, 114, 118, 10645, 4885, 5765, 170, 9705, 22998, 19105, 1103, 23073, 2728, 2246, 185, 1477, 1183, 11964, 1553, 118, 1104, 118, 1920, 3919, 4164, 113, 20083, 120, 121, 185, 1477, 1183, 11964, 3943, 2587, 120, 110, 114, 119, 1210, 1552, 1170, 12398, 117, 1131, 1254, 1872, 2229, 2489, 1105, 2756, 1106, 1103, 5241, 2853, 1114, 4910, 6406, 2628, 1114, 12104, 26600, 5048, 14494, 119, 24779, 118, 182, 1830, 3236, 119, 121, 190, 120, 181, 117, 189, 12736, 11153, 1179, 118, 178, 5486, 119, 5187, 21174, 120, 182, 1233, 117, 189, 12736, 11153, 1179, 118, 189, 126, 119, 126, 21174, 120, 182, 1233, 114, 119, 5241, 11019, 1403, 117, 1170, 1107, 25098, 1891, 1496, 1106, 177, 1183, 26466, 20504, 117, 2799, 1703, 184, 19515, 17855, 1104, 1103, 2286, 118, 19122, 1496, 1106, 188, 5208, 1204, 24438, 16071, 18071, 1548, 113, 20497, 1403, 119, 125, 114, 119, 1170, 1107, 4487, 7912, 2285, 3469, 1104, 170, 176, 1193, 2528, 1643, 21020, 1394, 25550, 1830, 120, 25550, 1465, 10814, 3510, 1200, 113, 1231, 4184, 2180, 114, 117, 15758, 1126, 10712, 1643, 19268, 1183, 1108, 2446, 1149, 2967, 1551, 1606, 170, 124, 119, 121, 2608, 15758, 1120, 1275, 118, 1367, 1120, 1306, 1272, 1104, 1231, 21754, 117, 5670, 24438, 16071, 7441, 3855, 1105, 1884, 15789, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3850, 118, 8468, 16065, 2118, 188, 5208, 2145, 113, 3532, 114, 1132, 1737, 1103, 3252, 1104, 3026, 1111, 1211, 4420, 1114, 184, 4832, 23055, 2109, 1884, 15789, 1616, 18593, 3653, 1165, 1679, 12734, 13064, 9108, 113, 185, 6617, 114, 1110, 25667, 119, 1649, 117, 188, 5208, 1204, 24438, 16071, 18071, 1548, 3093, 1106, 4467, 1167, 3933, 1114, 3532, 1105, 5411, 1110, 2628, 1114, 4789, 1106, 2848, 118, 4885, 5765, 5557, 119, 1195, 1138, 4531, 170, 1692, 1104, 1231, 21754, 188, 5208, 1204, 24438, 16071, 18071, 1548, 1107, 170, 5351, 1114, 172, 13200, 12894, 1403, 9261, 4789, 119, 170, 5519, 118, 1214, 118, 1385, 2130, 5351, 3421, 1121, 12104, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 1105, 9315, 2265, 185, 6617, 1104, 1103, 1286, 16557, 16610, 1884, 102 ]
[ 101, 22832, 5656, 15190, 14494, 7376, 1132, 1737, 1106, 1129, 1126, 1696, 5318, 1107, 2087, 19224, 16368, 1103, 1263, 118, 1858, 13950, 1170, 172, 5082, 6052, 1566, 181, 13499, 1880, 5917, 1475, 117, 123, 117, 124, 119, 1107, 1546, 1106, 4607, 1263, 118, 1858, 13950, 1104, 14115, 1111, 1103, 4420, 1114, 172, 5082, 6052, 1566, 181, 13499, 1880, 5917, 117, 3335, 117, 1122, 1110, 1696, 1106, 11228, 17459, 1103, 15190, 14494, 7376, 1104, 4257, 1114, 172, 5082, 6052, 1566, 181, 13499, 1880, 5917, 119, 1103, 4018, 1104, 170, 5656, 4091, 1114, 181, 13499, 1880, 3773, 1110, 3337, 17428, 1118, 12182, 4069, 1216, 1112, 1103, 2495, 1732, 1399, 2774, 117, 16530, 13560, 2774, 117, 191, 1348, 12909, 6600, 2774, 117, 1105, 1893, 8167, 23930, 12307, 117, 174, 119, 176, 119, 180, 1204, 118, 6087, 119, 1649, 117, 4420, 1114, 5656, 181, 13499, 1880, 19353, 27989, 15672, 1932, 19073, 1164, 1147, 8006, 1223, 9652, 2975, 119, 3335, 117, 1175, 1110, 170, 5417, 1115, 1103, 20482, 1104, 1103, 5656, 4091, 17428, 1107, 12182, 2975, 1674, 1136, 7977, 1103, 8458, 16292, 1104, 1157, 181, 13499, 1880, 3773, 1475, 117, 124, 117, 125, 117, 126, 119, 1210, 118, 8611, 4018, 3622, 1606, 10312, 2241, 13537, 2344, 1144, 1151, 3409, 1215, 1112, 1126, 10540, 3442, 1104, 1404, 15190, 14494, 7376, 1107, 9652, 2975, 1114, 14310, 14915, 1116, 119, 1142, 3136, 2790, 1565, 118, 4842, 118, 1104, 118, 4438, 4018, 1104, 1103, 15190, 14494, 7376, 1104, 1103, 5656, 1219, 2619, 1104, 3828, 1690, 1443, 7458, 2975, 1107, 191, 15435, 119, 1105, 3464, 27992, 3084, 2393, 119, 1872, 170, 1553, 10005, 5531, 113, 185, 5822, 114, 117, 1134, 13856, 1126, 1166, 6639, 22902, 3633, 1104, 18004, 113, 170, 10005, 114, 1973, 1113, 1296, 6441, 1106, 20220, 1103, 3154, 1104, 2241, 2230, 10701, 1545, 119, 1103, 185, 5822, 1169, 1129, 2925, 1106, 20220, 2241, 2230, 24690, 1118, 17307, 2841, 1158, 1104, 1103, 18004, 2452, 1106, 1147, 2178, 1104, 19353, 24211, 1891, 119, 1103, 9173, 1104, 1103, 2999, 2079, 1104, 1210, 118, 8611, 5656, 15190, 14494, 7376, 1219, 3179, 3118, 9591, 119, 1334, 118, 1106, 118, 1334, 3719, 1107, 1103, 2079, 1104, 5656, 4018, 1110, 3409, 1215, 1112, 170, 26440, 1104, 1103, 2999, 2079, 1104, 5656, 4018, 1475, 119, 1106, 11552, 1126, 22832, 5656, 4018, 1219, 3179, 117, 1122, 1110, 5616, 1106, 4959, 1103, 2999, 2079, 1104, 1103, 1334, 118, 1106, 118, 1334, 3719, 1107, 5656, 15190, 14494, 7376, 1219, 3179, 1359, 1113, 1103, 2233, 1606, 1103, 185, 5822, 119, 1106, 1103, 1436, 1104, 1412, 3044, 117, 1649, 117, 1185, 2025, 1144, 8600, 1142, 132, 3335, 117, 1103, 3007, 1104, 1103, 1675, 2025, 1108, 1106, 4959, 1103, 2999, 2079, 1104, 1103, 1334, 118, 1106, 118, 1334, 3719, 1107, 5656, 15190, 14494, 7376, 1606, 185, 5822, 1219, 3179, 1359, 1113, 1210, 8611, 15190, 14494, 7376, 1104, 1103, 5656, 1104, 8071, 5174, 119, 1103, 2025, 1108, 4092, 1118, 1103, 1844, 13438, 3914, 1104, 5871, 2718, 9216, 1569, 2134, 1104, 2815, 1105, 6189, 9635, 1108, 3836, 1121, 1296, 2548, 1196, 1103, 2774, 119, 2570, 118, 1141, 8071, 2999, 8118, 1443, 5656, 2489, 1137, 1126, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 164, 3007, 166, 1103, 3007, 1104, 1142, 2025, 1108, 1106, 4959, 1103, 2999, 2079, 1104, 1103, 1334, 118, 1106, 118, 1334, 3719, 1107, 1210, 8611, 5656, 15190, 14494, 7376, 7140, 1118, 1103, 1553, 10005, 5531, 113, 185, 5822, 114, 119, 164, 5174, 166, 1103, 5174, 1127, 2570, 118, 1141, 8071, 2999, 8118, 1443, 5656, 2489, 1137, 1126, 2004, 1104, 3773, 1106, 1103, 2584, 119, 164, 4069, 166, 1103, 5174, 1127, 7289, 20557, 1193, 1120, 170, 2191, 118, 2700, 2999, 3179, 2420, 1105, 1565, 4842, 1104, 4438, 5656, 15190, 14494, 7376, 1127, 7140, 1606, 1103, 185, 5822, 117, 1105, 1103, 4573, 110, 6595, 14662, 1104, 1103, 1903, 1334, 118, 1106, 118, 1334, 5408, 1107, 22593, 11708, 1988, 118, 4973, 113, 175, 1162, 114, 117, 5194, 18305, 118, 102 ]
[ 101, 11164, 118, 13736, 118, 124, 118, 177, 19694, 16844, 118, 126, 118, 1899, 18873, 118, 125, 118, 1110, 10649, 10961, 9016, 1643, 12736, 1988, 1596, 5190, 113, 1821, 4163, 114, 10814, 6412, 2394, 1566, 1211, 1104, 1103, 2698, 188, 21880, 8956, 4252, 6617, 19756, 4649, 6580, 1107, 1103, 3575, 119, 16246, 117, 1103, 176, 7535, 1161, 1477, 27555, 1114, 1157, 5045, 186, 120, 187, 1751, 113, 1177, 10951, 3084, 2393, 119, 117, 1924, 114, 23613, 1115, 1821, 4163, 14392, 4051, 1142, 27555, 1132, 3494, 11019, 118, 24034, 1200, 3263, 1895, 113, 16358, 2339, 4119, 3084, 2393, 119, 117, 1984, 132, 6790, 10733, 6348, 3084, 2393, 119, 117, 1924, 132, 179, 7637, 1116, 1105, 6790, 10733, 6348, 117, 1876, 132, 1110, 22118, 1665, 3084, 2393, 119, 117, 1384, 114, 119, 1118, 5014, 117, 176, 7535, 1161, 1477, 118, 11744, 1821, 4163, 10814, 6412, 117, 178, 119, 174, 119, 117, 1251, 16358, 3702, 4027, 1596, 1137, 1119, 25710, 4027, 1596, 5839, 1104, 176, 7535, 1161, 1475, 117, 170, 1495, 117, 1137, 170, 1527, 117, 1132, 11019, 118, 1679, 3263, 1895, 1105, 2548, 1106, 10323, 118, 7449, 3510, 1118, 1107, 4487, 18091, 185, 23415, 19577, 1116, 117, 3694, 1107, 170, 7987, 1202, 10354, 1193, 1231, 5822, 8985, 1954, 118, 10323, 113, 178, 191, 114, 2398, 119, 13280, 7767, 3923, 1107, 5010, 1104, 11019, 1679, 3263, 1895, 1821, 17482, 1116, 1169, 2612, 172, 2316, 173, 6834, 26420, 113, 181, 19009, 1105, 21458, 4314, 117, 1386, 114, 119, 1107, 188, 21880, 8956, 1821, 4163, 6412, 117, 15750, 1106, 1322, 19790, 2285, 185, 23415, 19577, 1116, 1105, 1103, 2178, 1104, 1231, 5822, 5783, 1169, 1129, 1750, 4772, 1118, 8234, 1114, 27629, 15615, 1116, 117, 1103, 14715, 3263, 12913, 18194, 1821, 17482, 12638, 7865, 113, 1177, 2430, 3084, 2393, 119, 117, 1384, 114, 119, 2456, 117, 170, 1822, 6102, 1104, 1231, 5822, 5783, 1104, 188, 21880, 8956, 1821, 17482, 118, 22060, 16334, 1444, 1136, 7977, 170, 2440, 1821, 17482, 5239, 117, 1133, 1336, 1145, 5057, 8234, 1114, 12638, 5318, 113, 188, 114, 119, 1112, 176, 21649, 1174, 1121, 1103, 4625, 1104, 1821, 4163, 14392, 1107, 1472, 24928, 22497, 1348, 6623, 117, 1103, 1954, 10923, 1156, 1352, 1115, 3981, 4252, 6617, 19756, 4649, 16993, 4732, 1114, 176, 7535, 1161, 1477, 118, 4051, 1821, 4163, 14392, 113, 8050, 1279, 7923, 1105, 11437, 2528, 2339, 117, 1384, 132, 181, 1358, 3084, 2393, 119, 117, 1371, 114, 117, 6142, 176, 19252, 118, 14044, 11007, 27558, 1183, 16993, 1510, 19148, 2672, 176, 7535, 1161, 1477, 118, 11744, 188, 21880, 8956, 1821, 4163, 14392, 113, 176, 6851, 2895, 3084, 2393, 119, 117, 1876, 132, 1106, 1582, 1105, 182, 1665, 2822, 1394, 117, 1772, 132, 181, 19009, 1105, 16408, 2339, 118, 13962, 117, 1617, 114, 119, 1229, 1175, 1110, 3016, 10923, 117, 1924, 132, 181, 1358, 3084, 2393, 119, 117, 1371, 114, 117, 21776, 2554, 22727, 1103, 1936, 2915, 1104, 176, 7535, 1161, 1477, 118, 11744, 1821, 17482, 6412, 1107, 5110, 5674, 24282, 12320, 188, 7147, 12929, 1884, 3848, 16719, 120, 3254, 15394, 6385, 4412, 188, 21880, 17783, 1116, 1107, 11019, 1475, 15931, 1348, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 176, 7535, 1161, 1477, 27555, 1107, 1119, 25710, 4027, 1596, 11164, 118, 13736, 118, 124, 118, 177, 19694, 16844, 118, 126, 118, 1899, 18873, 118, 125, 118, 1110, 10649, 10961, 9016, 1643, 12736, 1988, 1596, 5190, 113, 1821, 4163, 114, 10814, 6412, 23951, 1116, 11019, 1477, 116, 1679, 3263, 6328, 1105, 3510, 1118, 185, 23415, 19577, 1116, 117, 15171, 7378, 1103, 1954, 118, 10323, 2398, 1104, 1292, 176, 25937, 7363, 1566, 118, 5400, 1181, 5855, 1988, 6412, 119, 1780, 176, 7535, 1161, 1477, 118, 11744, 188, 21880, 8956, 1821, 4163, 14392, 4467, 1107, 176, 19252, 118, 14044, 11007, 27558, 1183, 16993, 117, 5110, 5674, 24282, 12320, 11019, 1475, 15931, 1348, 2765, 188, 21880, 17783, 1116, 1132, 3409, 1316, 1106, 2672, 1178, 176, 7535, 1161, 1477, 102 ]
[ 101, 181, 11368, 13335, 3991, 24153, 1596, 3881, 4248, 1126, 13504, 1105, 27215, 2674, 1104, 6656, 1116, 1105, 1169, 1129, 17599, 25959, 7810, 1193, 4213, 1106, 3924, 2982, 119, 193, 7777, 8383, 1233, 113, 172, 1571, 1324, 11964, 1186, 1571, 114, 117, 170, 6656, 6272, 3836, 1121, 193, 7777, 6787, 117, 1110, 6455, 1219, 1103, 20443, 1104, 1610, 4043, 7889, 7412, 3052, 1107, 3551, 1105, 3612, 119, 193, 7777, 8383, 1233, 1108, 1675, 1107, 11669, 1105, 11872, 117, 1120, 1822, 6256, 117, 1134, 2228, 1157, 1707, 1121, 1292, 3509, 16682, 8362, 8124, 17506, 2165, 119, 1157, 4105, 4777, 1540, 1108, 12763, 1106, 1115, 1104, 28117, 1665, 10127, 1105, 1110, 2299, 1190, 1115, 1104, 1177, 26281, 8383, 1233, 1105, 1299, 2605, 2430, 1233, 119, 1107, 1901, 1106, 7914, 15360, 1610, 1905, 117, 193, 7777, 8383, 1233, 1145, 14710, 14051, 4035, 22962, 1231, 9685, 4412, 2734, 1118, 1231, 27563, 1353, 26052, 119, 1142, 5940, 1272, 117, 1165, 1107, 3232, 1114, 193, 7777, 8383, 1233, 117, 1103, 21718, 24186, 3093, 1106, 1129, 5010, 5382, 4401, 132, 1103, 5297, 5239, 1104, 193, 7777, 8383, 1233, 21497, 1116, 1103, 15355, 17146, 1105, 19273, 119, 1111, 1292, 5924, 117, 193, 7777, 8383, 1233, 1108, 170, 4877, 4482, 1104, 1632, 2199, 1106, 2094, 117, 184, 3842, 2430, 7810, 117, 1105, 18119, 7519, 119, 1649, 1122, 1108, 5865, 1105, 1122, 5315, 1317, 3343, 1104, 193, 7777, 6787, 23609, 12231, 1196, 1103, 5297, 3943, 164, 125, 117, 130, 117, 1275, 166, 119, 193, 7777, 8383, 1233, 1707, 1194, 25128, 7235, 12475, 1144, 1151, 3000, 1112, 1111, 19105, 17599, 1766, 3820, 1863, 1216, 1112, 25693, 117, 10548, 117, 1105, 17005, 164, 1429, 117, 1367, 166, 119, 1621, 1292, 117, 25693, 1144, 2602, 1106, 10192, 17483, 4625, 1111, 193, 7777, 8383, 1233, 1707, 164, 1492, 117, 1489, 166, 119, 3335, 117, 1111, 1103, 1675, 2025, 117, 25693, 10512, 185, 7291, 6834, 9016, 1179, 15925, 2728, 27008, 5954, 1108, 2700, 1111, 193, 7777, 8383, 1233, 1707, 119, 1748, 4982, 2527, 1138, 2602, 1115, 20121, 1348, 5320, 1259, 3509, 1104, 6302, 1105, 15385, 1169, 2933, 193, 7777, 8383, 1233, 1707, 119, 11184, 2528, 1830, 1110, 170, 1415, 3884, 4600, 5671, 1111, 1606, 4105, 11184, 6165, 2380, 1107, 1107, 7168, 119, 1152, 1132, 1971, 1215, 1112, 3724, 4877, 1137, 1608, 1106, 1103, 25309, 1768, 1111, 1657, 4048, 119, 11184, 2528, 1830, 2515, 2324, 1166, 1969, 110, 1104, 1103, 3712, 2187, 1107, 25513, 1105, 2456, 1144, 2860, 1144, 170, 7158, 2578, 1111, 1707, 1104, 193, 7777, 6787, 117, 193, 7777, 8383, 1233, 117, 170, 17952, 4559, 2217, 117, 193, 7777, 12809, 10714, 1162, 117, 1105, 193, 7777, 1186, 184, 2646, 12443, 7409, 7147, 17731, 1116, 119, 1292, 1610, 4043, 7889, 7412, 3052, 2871, 8296, 1104, 1103, 193, 7777, 6787, 1105, 1168, 3137, 8228, 11990, 1162, 164, 11072, 166, 119, 1621, 1672, 5035, 5671, 1116, 117, 11184, 2528, 1830, 1108, 4485, 1112, 10480, 5035, 3979, 1111, 17599, 23467, 193, 7777, 8383, 1233, 1707, 119, 1107, 17599, 23467, 1707, 1104, 193, 7777, 8383, 1233, 1121, 11184, 2528, 1830, 117, 1103, 1884, 4832, 1127, 1148, 177, 19694, 1193, 5591, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 25161, 1104, 1103, 2754, 5143, 1105, 1965, 10986, 1111, 193, 7777, 8383, 1233, 1707, 1606, 11184, 2528, 1830, 23123, 4396, 2339, 24153, 1162, 177, 19694, 1193, 28027, 1162, 1118, 185, 7291, 6834, 9016, 1179, 15925, 2728, 27008, 5954, 113, 182, 3069, 1665, 10428, 1559, 114, 1108, 1982, 1114, 11435, 18576, 1359, 1113, 6700, 5054, 119, 1103, 11954, 1104, 2551, 22667, 1111, 1147, 2933, 1113, 193, 7777, 8383, 1233, 1707, 1108, 3890, 1606, 170, 185, 1742, 24361, 118, 171, 2149, 1399, 1902, 119, 185, 15384, 4798, 117, 193, 7777, 6787, 117, 17713, 7301, 24766, 1324, 1477, 1186, 117, 1105, 25693, 16143, 1127, 2700, 1359, 1113, 1147, 3112, 2933, 1113, 193, 7777, 8383, 1233, 1707, 119, 1103, 2700, 5644, 1127, 11769, 3121, 26740, 1114, 2884, 118, 1129, 7272, 102 ]
[ 101, 184, 13894, 4184, 14824, 4863, 1110, 170, 12818, 6028, 3653, 6858, 1118, 1822, 6028, 3367, 1105, 1260, 2083, 18472, 1891, 1104, 17599, 1813, 4313, 19000, 5332, 1104, 1103, 6028, 117, 2020, 1106, 6028, 175, 20484, 13378, 1105, 2028, 22869, 1116, 122, 119, 1103, 2284, 2530, 3442, 6315, 1118, 1103, 1362, 2332, 2369, 1107, 1103, 12645, 1104, 184, 13894, 4184, 14824, 4863, 1110, 7058, 118, 193, 118, 7586, 170, 4832, 1766, 6451, 2660, 21027, 113, 173, 20192, 114, 119, 1606, 1142, 3442, 117, 184, 13894, 4184, 14824, 4863, 1110, 3393, 1118, 170, 6028, 10956, 3476, 113, 171, 1306, 1181, 114, 2211, 1190, 118, 123, 119, 126, 2530, 1260, 27444, 1116, 113, 188, 1181, 114, 1104, 1103, 3835, 171, 1306, 1181, 1104, 11019, 23315, 11890, 1535, 4079, 1406, 118, 1853, 1201, 123, 119, 5576, 23179, 4999, 117, 1142, 11654, 5754, 1104, 184, 13894, 4184, 14824, 4863, 7166, 1116, 1103, 15230, 1107, 4267, 8517, 14226, 1158, 1105, 1107, 17030, 3798, 3252, 1111, 184, 13894, 4184, 14824, 2941, 4420, 119, 1649, 117, 1175, 1132, 1317, 13004, 1104, 173, 20192, 1134, 3843, 1122, 1121, 1217, 1215, 1107, 1103, 3367, 11954, 1104, 184, 13894, 4184, 14824, 4863, 117, 1134, 1110, 1971, 170, 4703, 12520, 2657, 3879, 1107, 1103, 4297, 2182, 124, 119, 25220, 18737, 22909, 113, 186, 1361, 114, 1110, 170, 6028, 2332, 8670, 5531, 1134, 1144, 3388, 1277, 5587, 1107, 2793, 1201, 1290, 1157, 4784, 1107, 2219, 119, 3402, 1106, 173, 20192, 117, 186, 1361, 3272, 6815, 2469, 7706, 1106, 1103, 1470, 1272, 1122, 1110, 15139, 117, 5477, 1106, 4282, 117, 2211, 1107, 2616, 1105, 1674, 1136, 9712, 2875, 14469, 4404, 8432, 125, 119, 1142, 2815, 1144, 1151, 1215, 1106, 4959, 1103, 6028, 2332, 2781, 1107, 1535, 126, 117, 1441, 127, 117, 1482, 128, 1105, 1107, 2218, 2740, 117, 20186, 129, 119, 1103, 18737, 22909, 1110, 170, 2076, 1104, 1839, 4003, 1114, 170, 5625, 18291, 1103, 2999, 23097, 4649, 2079, 1104, 3612, 113, 135, 1406, 180, 1324, 1584, 114, 119, 1103, 1839, 5685, 1666, 1118, 3527, 16288, 6112, 11194, 5822, 4907, 17357, 1116, 1132, 25219, 1105, 7372, 23191, 1193, 1137, 26126, 1194, 1103, 6028, 1223, 2025, 119, 1175, 1132, 1932, 1160, 17357, 1116, 1113, 1103, 186, 1361, 4442, 131, 1103, 17744, 1105, 8352, 17357, 1116, 119, 1103, 6441, 1104, 6028, 1223, 2025, 1209, 1129, 1973, 1206, 1292, 17357, 1116, 1105, 1103, 18737, 22909, 5685, 25219, 1121, 1103, 17744, 17357, 1116, 1194, 1103, 6028, 1209, 1129, 10494, 1118, 1103, 8352, 17357, 130, 119, 1175, 1132, 1160, 3322, 1104, 186, 1361, 5763, 1113, 1103, 9840, 1103, 18737, 22909, 5685, 1321, 1106, 3201, 1194, 1103, 6028, 119, 10012, 6580, 2745, 17357, 1116, 1115, 4929, 1103, 2420, 1104, 1839, 1113, 1103, 1884, 3740, 4571, 6440, 1104, 1103, 6028, 1120, 170, 4275, 2462, 119, 23191, 6580, 1110, 1167, 1510, 1215, 1105, 1103, 6028, 6441, 7140, 1110, 1103, 11019, 1233, 27313, 1361, 125, 119, 2452, 1106, 1103, 1835, 2808, 1104, 7300, 10552, 5053, 18778, 2105, 1616, 113, 1110, 1665, 1181, 114, 117, 11019, 1233, 27313, 1348, 186, 1361, 1110, 1103, 1178, 3037, 11842, 1104, 186, 1361, 1112, 1103, 1260, 2083, 14503, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 25220, 18737, 22909, 113, 186, 1361, 114, 1144, 5338, 1112, 170, 14785, 1105, 1927, 11954, 6806, 1111, 184, 13894, 4184, 14824, 4863, 119, 1142, 3189, 5850, 1106, 2194, 3501, 1869, 1113, 1103, 6708, 1104, 186, 1361, 11842, 1105, 6265, 1103, 4625, 1104, 6028, 7226, 1118, 186, 1361, 1107, 28092, 119, 186, 1361, 4071, 1344, 5625, 1839, 5685, 6455, 1118, 1103, 4442, 1106, 4959, 6028, 2332, 2781, 1107, 3612, 119, 1107, 191, 2875, 2180, 2527, 2799, 1115, 186, 1361, 1107, 28092, 1127, 5409, 2628, 1114, 6028, 10956, 3476, 113, 171, 1306, 1181, 114, 117, 6028, 17599, 1813, 4313, 19000, 5332, 1105, 6676, 11934, 119, 1107, 3612, 117, 186, 1361, 1107, 28092, 1127, 1276, 1106, 1129, 2628, 1114, 171, 1306, 1181, 1112, 1218, 119, 1107, 1901, 117, 186, 102 ]
[ 101, 24438, 16071, 4043, 3457, 26156, 1110, 3337, 1562, 1107, 7300, 2415, 1105, 1510, 1103, 2740, 2103, 1132, 4497, 1348, 119, 1103, 12630, 12645, 1111, 24438, 16071, 4043, 3457, 26156, 1110, 4728, 1105, 1103, 20346, 1965, 1169, 1129, 10467, 119, 1107, 1704, 117, 4680, 1104, 24438, 16071, 4043, 3457, 26156, 1169, 1129, 1758, 1112, 16650, 4179, 117, 26844, 117, 1137, 172, 4934, 1348, 1107, 2731, 119, 170, 1295, 1104, 1416, 2527, 1138, 8600, 1103, 2178, 1104, 24438, 16071, 4043, 3457, 26156, 1112, 1218, 1112, 1103, 5625, 1104, 1672, 3084, 19840, 22339, 1104, 24438, 16071, 4043, 3457, 26156, 1165, 1122, 4365, 119, 26844, 4680, 1132, 1118, 1677, 1103, 1211, 1887, 3084, 17288, 1104, 24438, 16071, 4043, 3457, 26156, 1107, 1292, 1416, 2527, 117, 9472, 5385, 1580, 1559, 110, 1104, 2740, 1107, 6323, 1107, 1160, 1415, 1692, 1326, 1105, 1620, 110, 1104, 185, 24795, 2740, 1107, 170, 1423, 1692, 1326, 119, 6122, 24438, 16071, 4043, 3457, 26156, 117, 3393, 1112, 170, 4885, 5765, 5099, 135, 122, 117, 1288, 1275, 120, 181, 1110, 2385, 4054, 117, 1112, 1178, 1512, 119, 129, 110, 1104, 4420, 10541, 1142, 2178, 1104, 24438, 16071, 4043, 3457, 26156, 1852, 8685, 119, 1780, 1510, 1354, 1106, 1129, 1167, 1887, 1107, 172, 4934, 1348, 5669, 117, 6122, 24438, 16071, 4043, 3457, 26156, 1169, 1145, 1129, 1496, 1106, 26844, 4680, 117, 1114, 5787, 110, 1104, 2740, 1104, 6122, 24438, 16071, 4043, 3457, 26156, 1107, 1141, 1326, 1217, 26844, 1107, 2731, 119, 170, 1744, 118, 1214, 118, 1385, 2581, 5351, 1108, 4533, 1111, 6059, 1104, 1268, 16673, 16664, 14846, 1348, 1123, 5813, 1114, 1268, 11641, 4035, 3457, 8546, 177, 19694, 18389, 1162, 1104, 1103, 13408, 119, 1103, 3073, 19807, 5838, 8087, 5715, 2103, 2999, 1884, 28026, 6840, 1105, 25128, 16710, 11934, 117, 5871, 5521, 8032, 2858, 7939, 4718, 1104, 1405, 119, 122, 176, 110, 117, 1185, 5837, 7563, 13335, 25669, 11776, 1105, 170, 4885, 5765, 5099, 1104, 123, 119, 2539, 2495, 9862, 1116, 120, 16040, 1306, 119, 5351, 1108, 2622, 117, 1268, 11641, 24000, 1123, 22772, 1643, 19268, 1183, 1114, 4252, 16073, 1104, 177, 19694, 18389, 1162, 1104, 1103, 13408, 1108, 1694, 119, 1175, 1127, 1185, 16798, 10563, 1219, 6059, 117, 1103, 5351, 1108, 16193, 4252, 25098, 2913, 1107, 1103, 6059, 1395, 1105, 3175, 1106, 1103, 2112, 1126, 5024, 2050, 27300, 1920, 2587, 119, 170, 9285, 2112, 19807, 5838, 22828, 1892, 1654, 1108, 1982, 117, 4000, 1344, 4885, 9585, 5099, 113, 122, 117, 1620, 117, 1288, 120, 16040, 1306, 114, 117, 23123, 8032, 2858, 7939, 1429, 119, 127, 17713, 120, 173, 1233, 1105, 5837, 7563, 26431, 1407, 117, 3434, 120, 16040, 1306, 117, 1114, 2999, 4718, 1104, 1884, 28026, 6840, 1105, 25128, 18533, 5715, 119, 1330, 1892, 3622, 1108, 16939, 1106, 23073, 1292, 2233, 117, 1134, 1254, 1608, 170, 1344, 4885, 5765, 5099, 113, 122, 117, 3127, 117, 1288, 120, 16040, 1306, 114, 119, 1195, 3228, 9437, 4885, 5765, 5099, 2032, 1103, 2112, 19807, 5838, 1669, 1118, 7838, 22828, 117, 1114, 4784, 1104, 24438, 16071, 21968, 13685, 8031, 21146, 18873, 7897, 1548, 1105, 1654, 1104, 9793, 1107, 1103, 1339, 1104, 1103, 9750, 1104, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 24438, 16071, 4043, 3457, 26156, 1110, 1510, 1126, 4497, 1348, 4006, 1562, 1107, 2588, 11049, 110, 1104, 2740, 1105, 1103, 2612, 9220, 8743, 170, 20346, 4506, 119, 6122, 24438, 16071, 4043, 3457, 26156, 1110, 4054, 1105, 1562, 1107, 1512, 119, 129, 110, 4420, 1178, 119, 1621, 1103, 1672, 4680, 1104, 2569, 4885, 5765, 5099, 117, 13467, 8826, 1138, 5666, 1277, 2209, 1107, 1241, 6700, 1105, 7300, 5777, 119, 1103, 2468, 1104, 24438, 16071, 4043, 3457, 26156, 1170, 6059, 2993, 1106, 1129, 11534, 1106, 4586, 1103, 2076, 1104, 24438, 16071, 4043, 3457, 26156, 113, 172, 4934, 1348, 1137, 26844, 114, 117, 1112, 3252, 1105, 5250, 25566, 4863, 1132, 2385, 1472, 1206, 1172, 119, 1142, 1692, 2592, 1110, 9301, 1272, 1104, 1160, 3672, 131, 1148, 117, 1103, 2773, 102 ]
[ 101, 26707, 3452, 1465, 1110, 3393, 1112, 170, 6246, 1107, 12176, 3053, 1115, 1110, 2628, 1114, 1126, 20606, 3053, 1107, 3828, 1297, 119, 122, 1103, 1211, 1887, 1532, 1104, 26707, 3452, 1465, 1110, 2393, 1584, 19263, 188, 3653, 113, 8050, 114, 117, 1134, 5149, 1164, 3102, 110, 1104, 2740, 119, 123, 8050, 1169, 1129, 3626, 1112, 170, 6044, 8706, 26707, 3452, 1465, 1104, 22233, 2386, 4179, 15415, 117, 1134, 4365, 1107, 1103, 5884, 1104, 1168, 8131, 1115, 1180, 1129, 2784, 1111, 1103, 12176, 16312, 1116, 119, 1780, 2218, 20346, 9173, 19291, 1115, 8050, 1110, 170, 12645, 1104, 18434, 1114, 7328, 1106, 26557, 3653, 117, 26557, 5320, 1336, 1145, 1138, 170, 1648, 1107, 1523, 118, 15415, 8050, 119, 122, 117, 123, 2166, 2527, 5996, 1115, 1175, 1110, 170, 1601, 2398, 1206, 8050, 117, 177, 24312, 23826, 1988, 117, 17972, 117, 6625, 117, 1105, 1120, 4679, 2155, 10536, 21556, 119, 3413, 1199, 2527, 1138, 10788, 1103, 11934, 1104, 1893, 19860, 11111, 1757, 1107, 4420, 1114, 26707, 3452, 1465, 119, 5615, 1475, 1122, 1144, 1151, 4379, 1115, 4420, 1114, 8050, 1138, 8649, 1105, 8458, 1762, 22832, 4233, 117, 1259, 4841, 1665, 21472, 7867, 24034, 8341, 1880, 1104, 17688, 2401, 1105, 3053, 117, 170, 12148, 1596, 11727, 3528, 4777, 117, 170, 12148, 1596, 1231, 13830, 10805, 12633, 117, 1105, 1286, 21828, 4907, 5552, 113, 181, 1964, 114, 2095, 4018, 22832, 4233, 119, 1367, 1107, 1142, 2025, 117, 1412, 7649, 1108, 1106, 11755, 1103, 181, 1964, 4267, 12788, 14987, 11934, 117, 1120, 13119, 5880, 1988, 1551, 117, 1105, 170, 12148, 1596, 11111, 1757, 11934, 1118, 7228, 16278, 10542, 2660, 8944, 1107, 4420, 1114, 1105, 1443, 8050, 119, 4420, 6546, 1103, 20433, 7858, 22939, 1161, 183, 1818, 10038, 2704, 24928, 11955, 6360, 12257, 117, 1110, 5108, 27515, 117, 25138, 117, 1127, 1455, 1106, 8676, 1111, 1103, 2025, 1191, 1152, 18210, 1103, 10838, 9173, 1111, 8050, 119, 1103, 1654, 1372, 1529, 1425, 118, 1105, 2673, 118, 10260, 2833, 1150, 1125, 1185, 12176, 6246, 119, 1155, 4420, 1105, 1147, 1920, 1733, 2373, 1103, 1869, 6837, 2136, 1196, 2368, 14093, 1105, 1637, 9635, 1106, 4868, 1107, 1103, 2025, 119, 1103, 16278, 10542, 2660, 11293, 17865, 1127, 1982, 1107, 27466, 17485, 1182, 14044, 2217, 1377, 3621, 25575, 1105, 24438, 6533, 6617, 1665, 6059, 2057, 117, 1110, 5108, 27515, 117, 25138, 119, 1103, 12645, 1104, 8050, 1108, 1189, 2452, 1106, 1103, 16950, 8050, 9173, 3000, 1118, 1103, 1569, 8918, 1104, 24928, 11955, 7810, 1105, 3254, 13601, 13109, 3946, 11759, 1105, 6625, 1105, 1103, 2393, 1584, 19263, 188, 3653, 1105, 2272, 11759, 3852, 113, 11437, 26405, 3680, 118, 8050, 18484, 114, 117, 1492, 1112, 1218, 1112, 1103, 20346, 1105, 11435, 9506, 1104, 4910, 11759, 117, 2223, 2596, 119, 1489, 1103, 1654, 1372, 6635, 1127, 3393, 1112, 1515, 1185, 8568, 4487, 2165, 12176, 1193, 1359, 13004, 1104, 2619, 1104, 3828, 1690, 117, 1259, 6233, 117, 1165, 13036, 119, 22112, 9173, 1127, 1215, 1106, 26132, 2256, 1114, 1251, 2076, 1104, 188, 17162, 6451, 7903, 2941, 1137, 5199, 3575, 118, 2272, 24928, 11955, 13791, 1596, 1137, 17123, 6946, 119, 1142, 1108, 1694, 1118, 19916, 3669, 1104, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 1348, 1584, 19263, 188, 3653, 113, 8050, 114, 1110, 4099, 5128, 1106, 3621, 25575, 3187, 5320, 119, 4069, 11252, 13335, 2881, 2660, 11293, 2527, 1127, 1982, 117, 1259, 1286, 21828, 4907, 5552, 4267, 12788, 14987, 4226, 117, 1286, 1105, 1268, 1120, 13119, 5880, 1988, 1551, 117, 1105, 1893, 19860, 11111, 1757, 11934, 117, 8199, 11111, 1757, 7448, 117, 2997, 118, 10512, 25460, 182, 5412, 11430, 117, 1105, 4267, 15874, 5053, 5474, 117, 1113, 1853, 4420, 1114, 8050, 1105, 1572, 1425, 118, 10260, 2833, 1114, 2999, 12176, 3053, 119, 2686, 10681, 4709, 26410, 4412, 4235, 10537, 1104, 1103, 1346, 6099, 7843, 4003, 113, 174, 114, 1108, 2211, 117, 1105, 1103, 4709, 10537, 1104, 1103, 1523, 7843, 4003, 2416, 1118, 1120, 13119, 24827, 113, 170, 114, 117, 102 ]
[ 101, 1103, 4841, 16671, 2769, 170, 14715, 9080, 6440, 1107, 1103, 4297, 21831, 21284, 1105, 2923, 1104, 1940, 24521, 1105, 2112, 3080, 24521, 16993, 117, 10552, 23632, 7571, 117, 170, 21501, 1116, 117, 3213, 27712, 117, 188, 21880, 17783, 1116, 1105, 176, 25737, 3652, 119, 1103, 4841, 16671, 1110, 1388, 1206, 1103, 9533, 4834, 1105, 1103, 1884, 3740, 4571, 4885, 117, 1134, 1219, 1748, 1718, 23159, 1116, 1154, 1103, 15242, 19248, 10165, 8798, 25550, 1106, 191, 1182, 113, 2482, 122, 1161, 114, 119, 180, 15540, 3292, 1596, 1105, 182, 12666, 18053, 1127, 1103, 1148, 1150, 3626, 1103, 4841, 16671, 1112, 170, 4966, 6440, 1107, 1103, 9712, 1830, 26503, 7770, 1769, 21831, 21284, 113, 180, 15540, 3292, 1596, 1105, 182, 12666, 18053, 117, 2424, 114, 119, 170, 4841, 16671, 1169, 1129, 3626, 1107, 1155, 12905, 1780, 1157, 5236, 15830, 117, 16700, 6168, 1105, 1679, 19031, 1107, 22777, 7907, 1621, 1530, 119, 1126, 10024, 7257, 1348, 2233, 5057, 1126, 14745, 3719, 1107, 1103, 2135, 27054, 2941, 7012, 1104, 1103, 4841, 16671, 119, 1107, 1103, 11631, 1105, 1168, 8335, 5240, 1242, 4841, 16671, 3652, 5195, 1154, 22777, 5071, 6440, 191, 13292, 1137, 191, 6904, 113, 170, 4043, 17030, 1584, 1105, 19863, 9570, 1233, 117, 1384, 114, 119, 3289, 1530, 5408, 1145, 4056, 1107, 1103, 5236, 15830, 1104, 1103, 4841, 16671, 117, 1134, 2569, 1219, 7243, 119, 1107, 3612, 1103, 4841, 16671, 11926, 1106, 2324, 1565, 1551, 1103, 15830, 1104, 1103, 1884, 3740, 4571, 4885, 1213, 1853, 2277, 1104, 176, 16144, 2116, 113, 182, 11819, 1233, 24333, 3084, 2393, 119, 117, 1997, 114, 117, 6142, 1107, 8335, 5240, 1122, 2606, 170, 3860, 4240, 6440, 1219, 1718, 113, 190, 7777, 5018, 3084, 2393, 119, 117, 1997, 114, 119, 1103, 2656, 1104, 1103, 4841, 16671, 3652, 1132, 1255, 1346, 1196, 1103, 1148, 1884, 3740, 4571, 4885, 16993, 113, 181, 24493, 1394, 1105, 188, 11220, 1584, 117, 2210, 132, 11727, 14407, 3084, 2393, 119, 117, 2056, 114, 119, 1107, 8335, 5240, 4841, 16671, 16993, 1336, 1129, 1145, 6455, 1224, 1107, 1718, 113, 1119, 1964, 2511, 3084, 2393, 119, 117, 1516, 114, 119, 170, 6432, 10807, 1104, 4841, 16671, 3652, 1132, 1136, 1255, 1107, 1103, 21828, 4907, 5552, 24928, 11955, 8043, 7088, 21091, 1818, 117, 1133, 1939, 24077, 1107, 1103, 27598, 6939, 12489, 1596, 9712, 19865, 2093, 1105, 2812, 170, 15925, 11549, 2916, 1940, 24521, 2438, 1106, 1147, 3638, 1107, 1103, 4297, 21284, 113, 2495, 1964, 9028, 3084, 2393, 119, 117, 1729, 114, 119, 4841, 16671, 3652, 4248, 170, 1897, 1119, 25710, 27054, 2285, 24928, 22497, 1348, 1416, 2452, 1106, 1147, 22740, 117, 24928, 11955, 4487, 2316, 9084, 2083, 4193, 1105, 24466, 113, 1111, 3189, 1155, 6696, 7745, 11931, 1200, 1105, 188, 11220, 1584, 117, 1898, 114, 119, 113, 170, 114, 3073, 24226, 1348, 1718, 1104, 1103, 1769, 21831, 21284, 1112, 3228, 1118, 1118, 21216, 1179, 3084, 2393, 119, 113, 1369, 114, 119, 4619, 1121, 185, 25611, 1186, 187, 8552, 1665, 119, 10110, 2196, 1884, 15789, 1233, 3575, 2237, 9729, 1114, 172, 4894, 7777, 19193, 1104, 170, 176, 16144, 15937, 1989, 1407, 1769, 15242, 19248, 1566, 1775, 119, 17325, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1496, 1106, 1147, 3527, 8649, 1105, 8458, 4625, 117, 4841, 16671, 3652, 1132, 7891, 1193, 10891, 1106, 3053, 1112, 1696, 1821, 1643, 22881, 1158, 2338, 1439, 1103, 4297, 15242, 19248, 10165, 6090, 119, 4841, 16671, 16993, 1138, 4154, 10552, 23632, 26320, 1105, 170, 21501, 1348, 26084, 25583, 1105, 3860, 9881, 8458, 4625, 117, 178, 119, 174, 119, 1147, 2168, 3209, 7142, 1169, 13908, 13714, 1104, 1969, 177, 1584, 119, 1120, 5041, 5251, 1104, 1884, 3740, 10658, 27364, 4841, 16671, 3652, 3531, 8458, 188, 21880, 8956, 22743, 1121, 1103, 24438, 5971, 6308, 1105, 1121, 1168, 1884, 3740, 4571, 1105, 1664, 118, 1884, 3740, 4571, 3509, 119, 176, 25937, 7363, 2083, 11007, 1105, 1260, 23043, 7710, 6185, 176, 19252, 26949, 22743, 14368, 1121, 1884, 3740, 4571, 16993, 1105, 102 ]
[ 101, 9284, 1110, 2898, 1107, 4495, 1112, 170, 2086, 1106, 4609, 170, 3858, 1200, 118, 8663, 3750, 1187, 1103, 3858, 1200, 1110, 6182, 1106, 3858, 1194, 1103, 2415, 1104, 11138, 1114, 4194, 9284, 119, 1165, 1651, 1132, 1107, 9591, 1207, 7832, 117, 1152, 1132, 2637, 1106, 1329, 3378, 1354, 1106, 6058, 3560, 6551, 1106, 7300, 7832, 1105, 11774, 17459, 1147, 2099, 1105, 6134, 117, 1897, 1190, 7781, 1113, 4301, 3044, 1107, 13345, 119, 1103, 1569, 2074, 1111, 11138, 1144, 1231, 19385, 2913, 1103, 4495, 1104, 1241, 24449, 1105, 3607, 2422, 1194, 1147, 7970, 1112, 4160, 4845, 9885, 1111, 7439, 24937, 119, 7300, 9442, 1132, 1141, 1104, 1103, 10700, 1215, 2032, 1103, 8448, 11138, 16408, 14791, 21608, 1106, 11000, 1105, 6388, 1651, 112, 24449, 2422, 5669, 119, 24449, 9442, 1132, 1737, 1118, 113, 1211, 114, 5449, 1484, 1106, 1129, 6818, 1107, 12100, 1158, 1126, 4287, 1104, 1736, 8550, 1105, 4048, 1104, 8550, 1106, 7300, 2415, 132, 1649, 117, 1651, 15395, 2304, 1147, 3869, 1107, 1147, 1126, 10294, 2572, 6163, 7640, 1105, 1107, 4698, 2377, 1736, 10540, 1116, 119, 1110, 2377, 4267, 11655, 25734, 1359, 1113, 24449, 4897, 1158, 1107, 1704, 117, 1103, 3536, 1439, 1126, 2510, 1736, 1137, 182, 16848, 11796, 117, 1137, 1199, 1168, 7987, 1104, 1103, 2510, 2377, 136, 1122, 1110, 1936, 1115, 24449, 9442, 1132, 1136, 10887, 3634, 1103, 11526, 3607, 9284, 120, 2422, 13950, 1115, 1132, 8759, 1111, 1155, 1651, 119, 1103, 4998, 1104, 1103, 2025, 1127, 1106, 4959, 113, 170, 114, 1103, 3607, 12745, 1104, 170, 24449, 4897, 1105, 5236, 3001, 1104, 1296, 19795, 117, 113, 171, 114, 1103, 5236, 4495, 1104, 1296, 19795, 1112, 8367, 1118, 1103, 1651, 117, 1105, 113, 172, 114, 1103, 11170, 1104, 5236, 4495, 1111, 2377, 23470, 1116, 119, 1103, 24449, 3776, 1965, 1111, 1141, 5273, 170, 9545, 117, 2521, 1141, 5273, 1103, 2332, 1920, 1768, 117, 1110, 170, 1304, 2357, 2541, 119, 1103, 1285, 118, 1106, 118, 1285, 5758, 1107, 1103, 7300, 3545, 1510, 4506, 5473, 1316, 8810, 119, 24937, 1268, 5834, 2817, 1113, 4297, 3776, 5537, 1115, 1511, 9284, 1113, 3560, 1736, 3438, 117, 1113, 7300, 5758, 117, 1113, 2357, 4718, 1105, 1113, 1147, 1648, 1112, 1103, 1185, 14301, 7439, 119, 1120, 1103, 4686, 1104, 1103, 4897, 1158, 1965, 9284, 117, 2258, 4897, 2269, 117, 1144, 1151, 1126, 10226, 6552, 1104, 7300, 3776, 1111, 1242, 1201, 119, 1211, 24937, 5340, 1115, 24449, 4897, 1158, 1110, 7468, 1105, 17705, 1106, 3776, 132, 1649, 117, 1152, 1202, 1136, 5340, 1113, 1293, 1436, 1106, 2401, 1103, 24449, 4897, 1105, 1191, 1103, 3536, 1104, 1103, 4897, 1431, 7907, 1111, 1472, 2377, 23470, 1116, 119, 1148, 117, 4897, 1158, 1169, 1129, 6497, 1112, 170, 11303, 5838, 3776, 6806, 1111, 1103, 11138, 10332, 117, 10467, 1103, 15149, 1105, 1103, 5660, 1104, 1103, 3858, 1200, 119, 24937, 188, 19091, 2707, 1106, 8264, 1179, 1103, 1185, 14301, 1106, 1103, 7281, 1104, 1103, 7230, 117, 1103, 1266, 117, 1103, 1648, 1104, 2554, 117, 1137, 1103, 3772, 1104, 1103, 4321, 10931, 1906, 2332, 1920, 1449, 119, 1651, 1132, 6182, 1106, 2934, 1103, 3578, 3376, 1147, 3721, 1105, 2817, 1113, 1103, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1142, 2025, 1215, 170, 11435, 5531, 117, 14255, 25665, 1204, 2860, 3622, 117, 1106, 4959, 2377, 11170, 1116, 2272, 1106, 1103, 4495, 1104, 3073, 26514, 26486, 24449, 4897, 1158, 12745, 119, 1126, 6640, 3687, 27008, 5962, 3552, 1292, 12745, 1105, 6576, 1172, 1154, 170, 5980, 1134, 2756, 1651, 1114, 2967, 4897, 1158, 5758, 1121, 1134, 1152, 1125, 1106, 4835, 119, 1170, 11621, 178, 26281, 5684, 117, 170, 16670, 6876, 1104, 5046, 171, 7409, 7867, 3984, 15998, 11138, 1651, 2063, 1103, 5980, 119, 1103, 5236, 4495, 1104, 1103, 12745, 9177, 1121, 170, 1822, 1104, 1479, 119, 3453, 110, 113, 3536, 114, 1106, 170, 1344, 1104, 1695, 119, 4650, 110, 113, 1159, 114, 119, 1103, 2235, 3716, 5581, 110, 1104, 1103, 15661, 26468, 1104, 2377, 4897, 1158, 20935, 102 ]
[ 101, 12104, 13316, 13782, 11745, 6620, 1110, 1126, 22653, 3653, 6858, 1118, 1103, 2915, 1104, 12104, 24716, 2489, 1105, 120, 1137, 2569, 3001, 1104, 23651, 13316, 13782, 7698, 17664, 119, 1167, 16246, 117, 1321, 1810, 3084, 2393, 119, 1138, 4668, 1115, 1103, 14471, 2603, 1108, 1104, 2324, 1406, 110, 1165, 12104, 13316, 13782, 11745, 6620, 1872, 1106, 5199, 12104, 13316, 13782, 11745, 6620, 113, 21718, 1643, 114, 119, 9279, 117, 1317, 2442, 1104, 2554, 1138, 7160, 1115, 27410, 22653, 2593, 9318, 113, 6442, 1116, 114, 1105, 2967, 118, 5677, 173, 6834, 26420, 9318, 113, 182, 16476, 114, 1132, 1103, 123, 1211, 1887, 4680, 1104, 1473, 1107, 1103, 1346, 2016, 113, 1439, 2324, 123, 2277, 114, 1104, 4420, 1114, 21718, 1643, 119, 2166, 1844, 1144, 3228, 1115, 12104, 19192, 13632, 9318, 113, 170, 15093, 114, 117, 1134, 1110, 170, 7300, 23487, 1891, 1104, 13093, 3773, 117, 1110, 1141, 1104, 1103, 5041, 23487, 6006, 1104, 8458, 1260, 2083, 18472, 1891, 1107, 1769, 11932, 1105, 1110, 1141, 1104, 1103, 1211, 1887, 1105, 3021, 13522, 1104, 21718, 1643, 119, 1103, 1211, 5199, 7300, 23487, 6006, 1104, 170, 15093, 8245, 2418, 177, 1183, 26466, 20504, 1114, 20557, 26600, 1107, 8702, 6066, 14048, 8080, 1114, 5048, 14494, 119, 1971, 117, 1103, 9173, 1111, 1103, 12645, 1104, 170, 15093, 1132, 2871, 1359, 1113, 1103, 1129, 20754, 5754, 117, 1134, 2075, 1103, 1560, 12645, 1104, 12104, 13093, 3773, 113, 2393, 1182, 114, 1105, 170, 15093, 131, 12104, 15415, 1104, 19192, 13632, 117, 177, 1183, 26466, 20504, 113, 2393, 1182, 131, 185, 9513, 1477, 120, 20497, 1186, 1477, 3127, 2608, 1324, 1403, 117, 170, 15093, 131, 185, 9513, 1477, 120, 20497, 1186, 1477, 2363, 2608, 1324, 1403, 114, 117, 20557, 20994, 1104, 2229, 2070, 15241, 117, 1105, 5884, 1104, 7300, 9505, 1104, 3621, 2660, 19438, 26600, 5048, 14494, 119, 1107, 2415, 117, 1103, 12133, 1104, 2967, 118, 8926, 9173, 1104, 170, 15093, 1510, 4680, 1107, 7235, 7912, 16457, 1111, 15230, 1107, 1103, 2635, 1104, 4420, 1114, 21718, 1643, 119, 1191, 170, 15093, 1145, 4680, 2607, 1107, 1317, 2272, 25128, 118, 18004, 117, 1861, 1106, 1103, 7987, 6252, 1104, 189, 12736, 11153, 1179, 1107, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 117, 1142, 25128, 118, 13537, 1547, 1129, 5616, 1106, 1494, 4267, 8517, 22583, 1104, 21718, 1643, 118, 10645, 170, 15093, 119, 2166, 3756, 5057, 1115, 26600, 20114, 11179, 2861, 2923, 17841, 1104, 1672, 4764, 7540, 1105, 7865, 113, 20114, 11179, 2861, 7865, 114, 119, 1748, 4982, 117, 1103, 1558, 17962, 1104, 20114, 11179, 2861, 7865, 1110, 188, 1643, 118, 170, 117, 1105, 1103, 6311, 2075, 188, 1643, 118, 171, 117, 188, 1643, 118, 172, 117, 1105, 188, 1643, 118, 173, 119, 3055, 117, 170, 2025, 3228, 1115, 188, 1643, 118, 170, 1110, 170, 1415, 4321, 4027, 1596, 4592, 1276, 1107, 1103, 1586, 8520, 1105, 2393, 2707, 11014, 119, 1317, 2442, 1104, 2554, 1138, 2602, 1115, 188, 1643, 118, 170, 1136, 1178, 2394, 3052, 1103, 22653, 2593, 117, 1133, 1145, 7451, 26557, 1679, 3263, 6328, 117, 1134, 1132, 1737, 1106, 1129, 1696, 5320, 1107, 1103, 1718, 1104, 170, 15093, 119, 170, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 10681, 12133, 1104, 2967, 118, 8926, 9173, 1107, 12104, 19192, 13632, 9318, 113, 170, 15093, 114, 1510, 4680, 1107, 7235, 7912, 16457, 1111, 15230, 1107, 1103, 2635, 1104, 4420, 1114, 5199, 12104, 13316, 13782, 11745, 6620, 113, 21718, 1643, 114, 119, 1195, 17428, 2480, 23651, 188, 1643, 118, 170, 3001, 1107, 1103, 2915, 1104, 4267, 3101, 5613, 2393, 2707, 21459, 3290, 113, 4153, 114, 1169, 1129, 186, 4746, 24936, 1193, 14758, 1111, 12645, 1104, 21718, 1643, 118, 10645, 170, 15093, 119, 2578, 120, 4069, 6851, 27390, 13475, 1127, 19729, 3233, 1154, 123, 2114, 113, 183, 134, 1969, 1296, 114, 1103, 188, 2522, 118, 2622, 113, 1177, 114, 1372, 1105, 1103, 21718, 1643, 1372, 1105, 1173, 19729, 16224, 1154, 125, 23470, 1116, 1107, 170, 1159, 118, 102 ]
[ 101, 182, 21977, 24211, 1183, 13538, 1548, 117, 1145, 1227, 1112, 195, 1183, 2758, 4527, 13538, 1548, 117, 1110, 1126, 11769, 4342, 19782, 5668, 1105, 14969, 1139, 23388, 8974, 2416, 1118, 170, 18142, 1104, 1103, 1546, 182, 21977, 17536, 1279, 119, 1122, 1110, 2426, 4379, 1107, 13280, 13601, 2728, 8178, 1643, 16071, 3673, 4420, 1216, 1112, 1343, 1114, 23123, 10024, 7810, 12477, 2646, 12149, 7232, 1137, 1343, 1150, 1138, 4600, 5677, 26965, 1891, 113, 1177, 1204, 114, 1137, 6028, 12477, 8674, 26965, 1116, 119, 1103, 8974, 1932, 3816, 1107, 1103, 2243, 21447, 6092, 1361, 1105, 23237, 1106, 1103, 18311, 13146, 1348, 11850, 14225, 117, 1103, 8895, 1105, 1103, 1107, 4487, 1665, 23851, 1348, 4413, 1118, 2904, 4973, 1137, 1194, 1892, 5956, 119, 1346, 12645, 117, 1107, 17030, 3798, 5250, 18378, 13467, 1105, 2657, 7606, 1105, 5663, 1158, 1103, 10311, 2975, 1505, 170, 9301, 1648, 1107, 16520, 1142, 8974, 117, 1133, 14471, 2606, 1344, 119, 182, 21977, 24211, 1183, 13538, 1548, 1110, 14124, 1107, 1177, 1204, 18509, 1105, 1211, 2740, 1138, 1151, 2103, 1170, 11911, 1137, 1231, 7050, 26965, 1891, 119, 170, 3882, 118, 1214, 118, 1385, 2581, 5351, 1108, 3175, 1106, 1412, 2853, 1121, 1330, 2057, 1111, 1231, 8005, 1766, 9208, 1348, 2489, 117, 16320, 1105, 10558, 4152, 10893, 1107, 1103, 1286, 2552, 1111, 1103, 1763, 3164, 177, 119, 1421, 1808, 2206, 117, 1119, 1125, 18369, 1137, 1582, 12355, 20437, 1762, 26965, 1891, 1223, 1103, 16516, 2599, 7501, 5531, 1496, 1106, 1110, 4386, 7257, 1762, 4290, 119, 1117, 2657, 1607, 1108, 2418, 1111, 2076, 25550, 17972, 1143, 6473, 4814, 117, 9874, 4013, 1118, 26825, 119, 1119, 1145, 1125, 177, 24312, 23826, 1988, 1105, 173, 6834, 10913, 3269, 8191, 113, 1241, 1223, 3252, 114, 1105, 1664, 27565, 6834, 1548, 118, 7449, 13306, 16042, 3653, 119, 1117, 2259, 2568, 13280, 13601, 14226, 4455, 16568, 6716, 1179, 4227, 1104, 3073, 22834, 7614, 1162, 117, 27629, 1665, 13166, 26552, 1105, 1139, 2528, 27801, 2728, 8031, 5190, 1105, 1119, 1108, 1145, 1781, 21146, 18873, 19102, 2848, 25523, 131, 1884, 19091, 3702, 20192, 6112, 1513, 117, 191, 1348, 3820, 6617, 1665, 14185, 3161, 1105, 1110, 11357, 5303, 1181, 1114, 185, 12577, 12894, 16594, 1162, 119, 2952, 8179, 1113, 10296, 2799, 1115, 1103, 5351, 1108, 10427, 117, 1137, 9080, 2913, 117, 170, 8124, 27647, 1513, 1105, 1117, 9301, 5300, 1127, 6111, 119, 16557, 187, 21918, 11428, 5005, 117, 1322, 2155, 20739, 1114, 121, 12135, 1322, 2155, 16260, 1105, 8179, 1104, 1103, 9619, 19421, 1127, 8362, 16996, 23822, 1895, 119, 1780, 1103, 21447, 10016, 1108, 2999, 117, 1107, 2458, 1104, 1103, 8006, 1105, 1103, 2166, 26965, 117, 1160, 8025, 1322, 2155, 22258, 2716, 2002, 117, 1141, 1104, 1103, 21447, 175, 25637, 1118, 188, 26580, 6791, 1105, 1103, 1248, 1104, 1103, 2243, 6092, 1361, 1127, 4465, 119, 1892, 5715, 2799, 20636, 3001, 1104, 27672, 17713, 120, 173, 1233, 113, 1492, 119, 129, 2608, 4063, 120, 181, 114, 1105, 172, 11811, 6105, 2042, 1104, 124, 119, 5519, 17713, 120, 173, 1233, 119, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 14884, 3090, 2991, 7918, 11769, 7409, 5783, 1104, 1286, 16557, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 182, 21977, 24211, 1183, 13538, 1548, 1110, 1126, 11769, 4342, 19782, 5668, 12104, 4106, 6997, 8974, 1114, 170, 1344, 14471, 2603, 1562, 1107, 13280, 13601, 2728, 8178, 1643, 16071, 3673, 4420, 119, 1122, 1110, 4450, 4054, 1107, 1762, 26965, 18509, 119, 187, 21918, 14840, 15581, 4412, 182, 21977, 24211, 1183, 13538, 1548, 113, 187, 1306, 114, 1110, 1103, 1211, 3933, 4379, 8685, 119, 1195, 2592, 170, 1692, 1104, 187, 1306, 1107, 170, 1762, 26965, 7668, 126, 118, 2370, 1170, 1103, 7791, 117, 1114, 170, 11874, 9386, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 15360, 15251, 1110, 170, 7300, 3879, 1115, 1110, 1971, 1217, 2376, 1290, 6962, 1138, 2103, 1126, 2773, 1107, 1157, 22760, 119, 1748, 4982, 117, 10552, 12948, 1116, 1132, 2479, 1167, 4484, 1164, 1103, 3084, 17288, 1105, 1346, 11432, 1104, 1142, 3879, 119, 5190, 7401, 4680, 4035, 22962, 2473, 26707, 16167, 10584, 8569, 117, 1105, 1263, 118, 1858, 26707, 16167, 10584, 8569, 4501, 1106, 14044, 2155, 2109, 4035, 22962, 4330, 1112, 170, 9547, 1104, 8706, 10956, 2445, 119, 10552, 6105, 15251, 8218, 170, 1472, 1117, 25333, 8241, 1988, 117, 1290, 1103, 16147, 1104, 26707, 16167, 10584, 8569, 1110, 182, 5412, 8360, 1118, 1103, 2915, 1104, 1103, 26707, 16167, 10584, 5305, 7878, 8952, 113, 1202, 1306, 114, 119, 1103, 1202, 1306, 1336, 1129, 4634, 1118, 4035, 6482, 10734, 1105, 5297, 18126, 117, 1134, 1336, 11778, 1103, 16147, 1104, 10552, 6105, 4330, 1166, 1159, 119, 1103, 2425, 3843, 2109, 4929, 1111, 15360, 15251, 1110, 1106, 4851, 1103, 5625, 1105, 9355, 1104, 5190, 7401, 119, 1112, 1122, 1110, 2846, 1106, 1654, 1103, 4658, 1104, 1103, 5351, 117, 1216, 1112, 1103, 5625, 1104, 5190, 14741, 1137, 1957, 5464, 15640, 117, 1168, 10700, 1138, 1151, 3000, 1106, 1654, 15360, 15251, 1115, 1132, 1897, 1750, 7449, 1113, 1103, 14037, 1104, 1103, 5351, 119, 1103, 1211, 7289, 4174, 1110, 1106, 2773, 1103, 5190, 4789, 1104, 1103, 3307, 1194, 1103, 4048, 1104, 23896, 9012, 2007, 119, 17472, 117, 3023, 7902, 23896, 9012, 2007, 4683, 1216, 1112, 9619, 187, 4935, 1279, 117, 27426, 1116, 1105, 15661, 21816, 1279, 1138, 1151, 7289, 119, 1103, 4048, 1104, 9468, 2087, 1120, 1344, 6256, 1110, 1682, 1106, 4609, 170, 11019, 2087, 1477, 118, 1176, 6440, 14886, 1113, 4035, 22962, 119, 1103, 11019, 2087, 1477, 176, 2858, 27515, 1279, 18492, 1112, 170, 2952, 9391, 117, 1107, 23034, 1158, 1103, 3232, 1104, 1103, 5190, 1114, 4035, 22962, 1105, 120, 1137, 3176, 1112, 170, 23896, 9012, 2007, 10462, 119, 1649, 117, 1142, 6440, 8218, 1822, 5190, 4789, 117, 2456, 117, 1157, 23891, 1107, 9783, 15360, 15251, 1110, 7458, 117, 1120, 1655, 1223, 1107, 191, 2875, 2180, 2975, 119, 1113, 1142, 3142, 117, 2793, 2527, 1138, 3378, 1113, 1168, 23896, 9012, 4704, 117, 1216, 1112, 1343, 4051, 185, 23415, 24709, 13237, 117, 1134, 1336, 1138, 170, 2299, 23891, 1190, 9468, 2087, 1496, 1106, 2473, 14886, 1137, 19542, 1104, 17146, 1154, 1839, 1105, 26707, 16167, 10584, 5305, 7918, 119, 17472, 117, 1103, 189, 8914, 1527, 1144, 2602, 170, 10480, 15251, 118, 1107, 23034, 1158, 2629, 1241, 1107, 191, 2875, 2180, 1105, 1107, 3465, 1358, 3402, 1106, 1168, 23896, 9012, 4704, 119, 1122, 1110, 177, 1183, 11439, 16090, 2200, 1115, 189, 5168, 14553, 1336, 14255, 2087, 8052, 1114, 19273, 2114, 117, 4411, 1126, 5190, 118, 13676, 2473, 20911, 119, 1211, 2527, 1138, 3666, 23896, 9012, 2007, 1206, 1103, 14044, 2155, 2109, 7806, 117, 4000, 170, 3112, 2629, 1104, 1472, 23896, 9012, 2007, 22661, 1116, 1113, 1103, 16147, 1104, 14051, 15251, 119, 3055, 117, 1412, 1844, 1372, 1144, 2602, 1115, 1126, 6700, 189, 8914, 1527, 15661, 21816, 1169, 1129, 1167, 1137, 1120, 1655, 1112, 3903, 1112, 170, 9468, 2087, 15661, 21816, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 1142, 2025, 14758, 1103, 2629, 1104, 23896, 9012, 2007, 15661, 21816, 1279, 1113, 1103, 16147, 1104, 14051, 15251, 1107, 191, 2875, 2180, 119, 2578, 1105, 4069, 131, 5808, 118, 2022, 4035, 22962, 1105, 2539, 7261, 10552, 6105, 8025, 1127, 2331, 26707, 16167, 10584, 5305, 113, 121, 119, 122, 110, 172, 2875, 4907, 5190, 117, 185, 1324, 123, 119, 126, 117, 1476, 11241, 114, 117, 2020, 1106, 170, 2259, 2568, 1105, 14044, 2155, 2109, 4330, 1104, 1367, 119, 130, 1105, 1429, 119, 125, 182, 117, 3569, 119, 1103, 8025, 1127, 19729, 5165, 113, 127, 177, 114, 1114, 170, 125, 110, 189, 8914, 1527, 15661, 21816, 113, 123, 119, 2532, 110, 175, 118, 117, 185, 1324, 122, 119, 121, 114, 117, 170, 126, 119, 3565, 110, 9468, 102 ]
[ 101, 1103, 177, 1742, 118, 170, 25338, 6697, 4252, 1320, 123, 1805, 1121, 1700, 5766, 23124, 1545, 117, 1155, 11194, 170, 115, 5187, 24400, 1475, 117, 1108, 1215, 1111, 1103, 1902, 1104, 10923, 184, 2646, 12443, 113, 2482, 122, 114, 119, 1155, 11194, 118, 2747, 113, 8120, 114, 184, 2646, 12443, 1127, 2011, 1359, 1113, 1423, 1137, 2702, 183, 21977, 26918, 23767, 10317, 2452, 1106, 12793, 1106, 1103, 170, 26281, 2875, 22190, 5264, 2700, 10923, 4954, 113, 177, 1742, 118, 170, 115, 5507, 24400, 114, 119, 8120, 1105, 10923, 184, 2646, 12443, 4227, 1104, 1407, 118, 1143, 1733, 1114, 170, 126, 112, 13736, 118, 182, 5412, 17792, 1515, 170, 1565, 118, 6302, 2000, 1197, 1111, 13280, 3702, 15197, 2734, 113, 11769, 28032, 7951, 117, 1107, 1665, 117, 2393, 25282, 1161, 117, 11019, 114, 119, 14838, 7479, 1104, 184, 2646, 2758, 17357, 1116, 1127, 4441, 1112, 1601, 1112, 1936, 1106, 170, 2079, 1104, 4376, 16480, 1665, 119, 8301, 12882, 1568, 9852, 4063, 120, 181, 184, 2646, 2758, 17357, 1116, 26662, 1107, 5306, 118, 1218, 3536, 1127, 9490, 1105, 1231, 118, 6232, 1107, 124, 188, 1116, 1665, 1111, 8455, 119, 17357, 1116, 1127, 6910, 2135, 170, 124, 1181, 118, 5088, 9618, 7253, 1111, 1884, 24709, 13280, 3702, 15197, 2734, 113, 5968, 14167, 114, 1606, 184, 1306, 2605, 1403, 10132, 24628, 17588, 113, 5565, 1918, 12285, 1162, 114, 1114, 1300, 8455, 18607, 8184, 1146, 121, 119, 1512, 181, 1104, 17357, 5072, 1105, 14304, 1158, 121, 119, 127, 183, 1233, 1679, 3205, 113, 21359, 1513, 4386, 1306, 1835, 117, 1107, 1665, 119, 114, 119, 3205, 6211, 1108, 3078, 20150, 182, 117, 22445, 1120, 4805, 182, 1106, 7034, 125, 1479, 127, 3205, 120, 9245, 1116, 119, 1170, 8455, 117, 15766, 1127, 2023, 1107, 170, 10410, 15120, 17792, 5383, 1120, 1395, 4143, 12292, 1105, 8192, 1114, 1851, 2608, 27236, 19577, 117, 121, 119, 122, 182, 189, 4889, 117, 185, 1324, 1580, 1105, 121, 119, 122, 110, 188, 3680, 1120, 1851, 1665, 1111, 1405, 1904, 1723, 1114, 187, 4935, 1158, 1107, 1447, 3059, 117, 13445, 1114, 125, 188, 1116, 1665, 120, 121, 119, 122, 110, 188, 3680, 1851, 1665, 1111, 2532, 1904, 117, 187, 4935, 1158, 1114, 1447, 4016, 1105, 9848, 2047, 14703, 3375, 1120, 4645, 14804, 1111, 124, 1904, 1114, 17599, 118, 4885, 11837, 119, 1367, 1119, 25710, 6482, 2758, 1361, 1137, 16358, 3702, 6482, 2758, 1361, 8025, 1127, 7289, 1111, 184, 2646, 2758, 183, 21977, 26918, 23767, 9245, 9890, 2734, 1105, 3659, 1118, 4954, 118, 1359, 26716, 1606, 1103, 170, 5567, 185, 18502, 17455, 1568, 118, 5306, 19774, 1197, 119, 1107, 1546, 1106, 9509, 1423, 15947, 173, 1605, 117, 185, 1665, 1197, 2982, 1121, 4252, 1320, 122, 1106, 4252, 1320, 126, 1104, 1103, 177, 1742, 118, 170, 25338, 6697, 1127, 1821, 18580, 1114, 1126, 15708, 1104, 189, 1559, 17110, 1106, 1103, 126, 112, 1322, 1606, 126, 112, 189, 1559, 118, 4252, 1475, 1161, 118, 127, 5748, 1197, 126, 112, 170, 22118, 1665, 2571, 1665, 9705, 19495, 19815, 2571, 6575, 1665, 2571, 5822, 2599, 5822, 6575, 9705, 1665, 1403, 19495, 2571, 1665, 1403, 19515, 2571, 9705, 2980, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 11432, 1104, 3655, 1423, 183, 21977, 26918, 23767, 185, 23415, 26271, 19649, 113, 188, 1179, 1643, 114, 17918, 1113, 1415, 3418, 14516, 27276, 17208, 1104, 176, 26601, 7257, 11062, 1137, 2703, 1344, 118, 1194, 16156, 11451, 2815, 119, 1195, 5594, 170, 11654, 5564, 1111, 23896, 9012, 13689, 11432, 1104, 1227, 1105, 3655, 188, 1179, 1643, 1118, 15122, 9890, 2734, 1106, 184, 2646, 7528, 21977, 26918, 23767, 9245, 1116, 1359, 1113, 25161, 1104, 1103, 1628, 6708, 1104, 4344, 2445, 1137, 4361, 1115, 5315, 170, 23173, 3549, 1295, 1104, 10260, 1137, 1940, 24557, 16283, 17357, 1116, 119, 1103, 9245, 2923, 1104, 1160, 3741, 1104, 1407, 118, 1143, 1197, 184, 2646, 7528, 21977, 26918, 23767, 17357, 1116, 119, 1141, 1383, 2075, 23003, 184, 2646, 12443, 1114, 125, 118, 183, 102 ]
[ 101, 4182, 1110, 1141, 1104, 1103, 1211, 1887, 12477, 2646, 12149, 9885, 4529, 132, 1122, 1110, 1103, 2020, 2612, 1104, 1473, 1107, 16682, 1872, 2182, 1105, 1103, 1248, 2020, 2612, 1104, 1473, 1107, 4297, 2182, 119, 2324, 1367, 119, 128, 1550, 1207, 2740, 1104, 4182, 1105, 128, 119, 127, 1550, 4182, 118, 2272, 6209, 1127, 2103, 1107, 1369, 119, 2693, 1103, 3268, 4252, 7340, 1174, 1118, 1242, 6962, 1106, 8468, 21977, 6859, 1566, 1103, 6978, 1104, 1610, 16430, 19790, 16317, 117, 4801, 5320, 117, 10211, 117, 9897, 117, 1105, 9987, 1105, 5464, 15640, 1138, 1151, 22512, 1107, 1103, 1718, 1104, 4182, 164, 124, 117, 125, 166, 119, 1672, 174, 25786, 5521, 19840, 20946, 2527, 1138, 3090, 1115, 24970, 118, 2628, 5320, 117, 1216, 1112, 9455, 1513, 17041, 1179, 118, 113, 14596, 118, 114, 122, 117, 14596, 118, 127, 117, 14596, 118, 1275, 117, 1105, 14601, 24928, 1665, 21556, 5318, 118, 117, 1132, 2628, 1114, 4182, 14601, 13417, 3965, 1548, 119, 9455, 1513, 17041, 1179, 118, 1542, 113, 14596, 118, 1542, 114, 1110, 170, 5250, 1394, 2087, 7609, 21943, 4649, 172, 25669, 21420, 1673, 1115, 3411, 1696, 4226, 1107, 24970, 117, 12365, 4060, 13601, 1673, 11759, 117, 1105, 4182, 119, 1103, 14596, 118, 1542, 172, 25669, 21420, 1673, 1266, 2923, 1104, 1565, 1484, 113, 14596, 118, 1542, 1161, 1106, 14596, 118, 1542, 2087, 114, 1105, 1421, 14392, 113, 14596, 118, 1542, 1611, 1106, 14596, 118, 1542, 2956, 1105, 14516, 2087, 114, 164, 128, 117, 129, 166, 119, 1292, 172, 25669, 21420, 3965, 1132, 3120, 1666, 1121, 170, 18005, 1104, 172, 1181, 1527, 116, 2629, 1766, 3652, 1227, 1112, 24438, 16770, 3652, 164, 130, 117, 1275, 166, 119, 7300, 2527, 1138, 2602, 2569, 14596, 118, 1542, 2838, 1107, 12477, 2646, 15454, 24309, 164, 11084, 1527, 166, 119, 1423, 183, 21977, 26918, 23767, 185, 23415, 26271, 19649, 1116, 113, 188, 1179, 3491, 114, 1169, 13000, 5565, 4226, 1105, 4592, 2838, 117, 1134, 2933, 2765, 23766, 1105, 2773, 4182, 3187, 119, 1103, 14596, 118, 1542, 1161, 187, 1116, 20581, 26253, 1580, 17668, 1403, 135, 170, 1105, 14596, 118, 1542, 2087, 187, 1116, 1559, 1545, 26303, 18910, 1204, 135, 172, 185, 23415, 26271, 19649, 1116, 1132, 1103, 1211, 1887, 25338, 6617, 2628, 1114, 14596, 118, 1542, 3246, 1105, 4182, 3187, 119, 1107, 1371, 117, 188, 3031, 14602, 1161, 3084, 2393, 119, 3303, 1103, 1148, 2025, 1105, 2103, 170, 3112, 2398, 1206, 3245, 11048, 4182, 1105, 1103, 14596, 118, 1542, 1161, 187, 1116, 20581, 26253, 1580, 17668, 1403, 135, 170, 185, 23415, 26271, 19649, 1107, 170, 179, 26519, 13309, 1416, 119, 1133, 1185, 2418, 3852, 1108, 1276, 1206, 3245, 11048, 4182, 1105, 185, 23415, 26271, 19649, 1116, 1104, 14596, 118, 1542, 2087, 187, 1116, 1559, 1545, 26303, 18910, 189, 135, 172, 119, 1242, 174, 25786, 5521, 19840, 20946, 2527, 1138, 3378, 1113, 1103, 3852, 1104, 1103, 14596, 118, 1542, 1161, 187, 1116, 20581, 26253, 1580, 17668, 1403, 135, 170, 1105, 14596, 118, 1542, 2087, 187, 1116, 1559, 1545, 26303, 18910, 1204, 135, 172, 185, 23415, 26271, 19649, 1116, 1114, 4182, 3187, 3335, 117, 1195, 1982, 170, 27154, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 174, 25786, 5521, 19840, 20946, 2527, 1138, 3228, 1115, 9455, 1513, 17041, 1179, 118, 1542, 113, 14596, 118, 1542, 114, 185, 23415, 26271, 19649, 1116, 1132, 2628, 1114, 4182, 3187, 119, 1649, 117, 1103, 2686, 1104, 1292, 2527, 1132, 22410, 119, 3335, 117, 1195, 1982, 170, 27154, 118, 3622, 1106, 6268, 170, 10515, 6593, 119, 10653, 24576, 113, 1137, 1116, 114, 1114, 4573, 110, 6595, 14662, 113, 172, 1548, 114, 1127, 1215, 1106, 15187, 1103, 3852, 1104, 1103, 14596, 118, 1542, 1161, 187, 1116, 20581, 26253, 1580, 17668, 1403, 135, 170, 1105, 14596, 118, 1542, 2087, 187, 1116, 1559, 1545, 26303, 18910, 1204, 135, 172, 185, 23415, 26271, 19649, 1116, 1114, 4182, 3187, 119, 4128, 15069, 1105, 15750, 18460, 1127, 1982, 1106, 4989, 1103, 11435, 1540, 102 ]
[ 101, 191, 13292, 26509, 1162, 2194, 7758, 1106, 2747, 24438, 5971, 7257, 27349, 1105, 1292, 27349, 1138, 1218, 118, 3393, 6984, 1114, 1103, 1177, 21943, 6787, 27035, 1616, 1884, 3740, 4571, 1805, 1187, 19144, 1869, 1110, 14659, 113, 13103, 8780, 1105, 3498, 4167, 25338, 2155, 117, 2459, 114, 119, 1292, 6984, 1138, 170, 1177, 21943, 12355, 20437, 2369, 117, 1105, 19144, 1869, 1121, 1296, 191, 13292, 26509, 5965, 170, 2747, 8482, 7874, 1107, 1103, 24438, 5971, 7257, 21828, 2180, 16531, 1348, 113, 191, 1830, 114, 2703, 1105, 1110, 9316, 1174, 1106, 170, 2747, 1884, 3740, 4571, 8482, 1768, 1107, 1103, 2425, 1177, 21943, 6787, 27035, 1616, 21284, 119, 1219, 1147, 16700, 1149, 21932, 27697, 117, 24438, 5971, 3702, 19248, 10165, 170, 21501, 1116, 1132, 8610, 1118, 170, 2783, 1104, 26602, 113, 182, 4063, 1179, 1197, 3084, 2393, 119, 117, 1368, 114, 119, 1170, 4905, 1103, 4841, 12320, 25737, 118, 185, 5727, 2916, 3070, 117, 24438, 5971, 3702, 19248, 10165, 170, 21501, 1116, 4657, 1439, 1103, 9533, 4834, 113, 178, 1584, 114, 1105, 117, 8320, 1103, 21284, 117, 1152, 170, 19515, 1818, 9732, 2071, 1103, 1884, 3740, 4571, 4885, 113, 172, 1643, 114, 1120, 1103, 4841, 16671, 113, 176, 15342, 1324, 3084, 2393, 119, 117, 1103, 8234, 1104, 24438, 5971, 3702, 19248, 10165, 170, 21501, 1116, 1114, 1103, 4841, 16671, 1110, 1141, 1104, 1103, 1211, 4035, 25548, 2941, 5669, 1107, 1103, 1718, 1104, 24438, 5971, 3702, 19248, 10165, 18064, 119, 1256, 1107, 24548, 1200, 1137, 185, 19297, 13251, 113, 180, 1186, 114, 14105, 117, 1187, 1103, 4841, 16671, 1110, 170, 3169, 6922, 1193, 1388, 117, 24438, 5971, 3702, 19248, 10165, 170, 21501, 1116, 2771, 1103, 172, 1643, 1755, 1103, 1940, 20080, 25094, 4841, 16671, 1196, 6755, 1106, 1147, 1509, 7539, 113, 16358, 25081, 1200, 118, 28117, 22377, 10396, 3792, 1105, 182, 4063, 1179, 1197, 117, 1410, 114, 119, 1649, 117, 1103, 9546, 10748, 1115, 1654, 24438, 5971, 3702, 19248, 10165, 170, 21501, 118, 4841, 16671, 8234, 1105, 4444, 1103, 5663, 15141, 1104, 24438, 5971, 7257, 25344, 1132, 3494, 3655, 119, 1107, 1103, 4297, 3575, 117, 25128, 19667, 185, 15342, 7880, 11014, 25786, 1116, 1176, 181, 6834, 4184, 15342, 20695, 3121, 13328, 5190, 113, 181, 4163, 114, 1505, 1696, 3573, 1107, 1884, 3740, 4571, 10348, 113, 175, 25455, 21957, 3084, 2393, 119, 117, 1539, 114, 1105, 24928, 22497, 1348, 170, 18299, 26156, 113, 9419, 4109, 3084, 2393, 119, 117, 1581, 114, 119, 1292, 3154, 1132, 22060, 1118, 181, 4163, 14392, 117, 8199, 181, 4163, 1475, 118, 187, 1105, 181, 4163, 1477, 118, 187, 117, 1134, 1132, 4448, 1107, 1103, 4297, 3575, 113, 9419, 4109, 3084, 2393, 119, 117, 1581, 114, 119, 181, 4163, 1110, 170, 1218, 118, 1758, 1231, 10522, 13147, 5318, 1111, 170, 21501, 1116, 117, 2028, 2020, 1106, 3213, 15775, 113, 176, 1665, 114, 7546, 113, 3227, 14545, 1105, 16358, 6066, 117, 1581, 114, 119, 1649, 117, 1229, 1107, 191, 2875, 2180, 7857, 3228, 1126, 6083, 1104, 181, 4163, 1475, 118, 187, 1107, 181, 4163, 118, 22060, 170, 21501, 1348, 1231, 27539, 117, 3687, 26883, 1320, 1104, 2747, 181, 4163, 14392, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 14940, 1643, 1874, 14636, 3797, 1104, 24438, 5971, 7257, 8482, 18093, 1114, 1147, 7671, 1884, 3740, 4571, 14619, 1110, 3607, 1111, 6165, 1104, 191, 13292, 26509, 1233, 19144, 1869, 119, 1303, 117, 1195, 1437, 1115, 185, 10805, 118, 123, 117, 170, 185, 15342, 7880, 11014, 25786, 118, 24775, 14730, 117, 1110, 1696, 1111, 24438, 5971, 3702, 19248, 10165, 170, 21501, 8815, 119, 4297, 24438, 5971, 3702, 19248, 10165, 18064, 1241, 1107, 185, 10805, 118, 123, 1554, 13251, 113, 180, 1186, 114, 1105, 1107, 24438, 5971, 6308, 118, 2747, 180, 1186, 14105, 24505, 1193, 2242, 1103, 1884, 3740, 4571, 4885, 117, 2028, 5047, 26465, 1158, 1664, 118, 7671, 14619, 119, 1142, 1940, 1116, 20885, 1158, 13892, 1113, 1575, 170, 21501, 1348, 15750, 1755, 181, 6834, 4184, 15342, 102 ]
[ 101, 23971, 170, 21344, 1110, 1103, 2020, 2612, 1104, 3843, 1895, 5153, 7198, 1757, 1107, 1103, 4297, 1362, 119, 1780, 4054, 1107, 1103, 10280, 2231, 117, 23971, 170, 21344, 1144, 1151, 1227, 1106, 4467, 1112, 170, 1871, 1104, 2869, 10211, 3113, 14741, 117, 11911, 8131, 117, 1105, 3245, 8005, 10879, 2556, 14196, 12477, 1742, 4832, 1766, 18225, 164, 123, 117, 124, 117, 125, 117, 126, 166, 119, 23971, 170, 1110, 170, 7930, 118, 28043, 23971, 16664, 24732, 1107, 1103, 10211, 1107, 1160, 2769, 131, 1112, 1231, 20064, 1233, 2111, 1121, 3724, 3509, 117, 1216, 1112, 6831, 117, 6092, 117, 3489, 117, 11911, 117, 1105, 6471, 117, 1137, 1112, 1103, 5250, 5086, 20284, 1394, 1610, 11860, 1673, 1121, 2582, 3509, 117, 1216, 1112, 2448, 7404, 1183, 11872, 117, 3431, 11669, 117, 1105, 1894, 5824, 2949, 119, 1113, 1103, 184, 11702, 2473, 117, 23971, 170, 21344, 1144, 170, 2043, 2079, 1104, 184, 11702, 23487, 6006, 1259, 14255, 20327, 15895, 1105, 11184, 13003, 193, 10771, 4863, 117, 180, 5970, 18778, 5971, 6052, 117, 1231, 20064, 12233, 117, 5173, 2445, 117, 1105, 183, 1183, 5822, 20717, 15748, 117, 1145, 1270, 1480, 7198, 1757, 117, 1134, 1110, 1103, 5041, 1105, 1211, 1887, 188, 17162, 6451, 4165, 119, 1195, 2592, 170, 1692, 1104, 20557, 14516, 21967, 11184, 13003, 23449, 14840, 1891, 1107, 170, 5351, 1114, 5199, 23971, 170, 21344, 1107, 1103, 5618, 1104, 174, 2155, 4559, 27008, 8031, 3245, 8005, 25195, 4184, 23610, 119, 170, 1853, 118, 1214, 118, 1385, 1299, 1108, 2752, 1106, 1412, 11184, 4490, 2587, 1114, 170, 1286, 11184, 13003, 23449, 14840, 1104, 127, 2277, 112, 9355, 119, 1119, 1108, 2331, 11534, 1114, 174, 2155, 4559, 27008, 8031, 3245, 8005, 25195, 4184, 23610, 113, 25128, 12685, 9893, 114, 117, 2241, 10343, 1183, 1105, 10343, 1596, 180, 5970, 2430, 7235, 20327, 11083, 10721, 119, 1119, 1125, 1151, 5165, 1114, 1679, 17536, 188, 25710, 7540, 1405, 17713, 120, 1285, 1105, 1899, 12217, 1874, 20192, 1566, 127, 17713, 120, 1989, 1290, 1103, 1425, 1104, 1429, 1201, 1111, 1117, 3245, 8005, 25195, 4184, 23610, 119, 1119, 1125, 6059, 1111, 188, 25710, 2386, 118, 10645, 5855, 4626, 15585, 1114, 1106, 4907, 1107, 4487, 13335, 5552, 11039, 24034, 9180, 1891, 1120, 1103, 1425, 1104, 1765, 1201, 119, 1107, 1901, 117, 1119, 1125, 170, 1295, 1104, 2094, 1154, 2879, 3923, 1116, 1105, 4841, 22398, 1174, 2426, 1113, 170, 10211, 1104, 15866, 119, 2988, 1106, 1117, 8685, 117, 1119, 1125, 2382, 19380, 117, 1122, 12285, 5800, 117, 1105, 170, 9711, 1107, 4152, 1107, 1117, 1286, 2552, 1111, 127, 2277, 1105, 1108, 5165, 1114, 8366, 1348, 2848, 118, 1155, 26949, 1105, 8366, 1348, 188, 25710, 2386, 8949, 132, 1649, 117, 1185, 8331, 1180, 1129, 4379, 119, 21176, 6530, 4129, 3943, 5193, 1111, 1123, 6633, 3014, 1775, 7942, 1108, 4366, 117, 1105, 1103, 8708, 1225, 1136, 1437, 1251, 3213, 119, 170, 10182, 1785, 1443, 22590, 1108, 1406, 120, 2908, 184, 1181, 117, 4725, 1118, 10473, 11245, 1106, 1406, 120, 1851, 117, 1105, 1406, 120, 4214, 184, 1116, 1114, 170, 23487, 1231, 27476, 5796, 1104, 121, 119, 1512, 120, 118, 123, 119, 126, 120, 126, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3007, 131, 23971, 170, 21344, 1110, 170, 1304, 4054, 3879, 1107, 1103, 1872, 1362, 1105, 1169, 1730, 1106, 170, 2783, 1104, 184, 11702, 2607, 1121, 193, 10771, 4863, 1105, 193, 10771, 7880, 17939, 8191, 1106, 11184, 13003, 23449, 14840, 1105, 1679, 14467, 6108, 119, 1103, 3252, 1104, 1142, 15667, 3653, 1110, 3014, 1105, 27215, 119, 1122, 1110, 3335, 1696, 1106, 6239, 1105, 7299, 17472, 117, 2108, 1107, 1103, 1856, 1104, 23449, 14840, 1116, 8362, 4894, 5674, 2316, 2109, 1106, 3252, 1137, 1107, 1103, 2915, 1104, 5199, 12477, 21615, 23016, 120, 12477, 1742, 4832, 1766, 18225, 9318, 1116, 119, 1103, 3007, 1104, 1142, 1692, 2592, 1110, 1106, 11484, 15230, 1104, 1103, 9046, 15667, 3154, 1104, 23971, 170, 21344, 1113, 1103, 1257, 1105, 1106, 10541, 13950, 1170, 23971, 102 ]
[ 101, 1747, 1158, 1137, 4033, 1158, 4431, 1106, 2904, 2241, 3232, 1114, 1103, 2473, 1104, 1103, 4033, 117, 1216, 1112, 1114, 6038, 1623, 1137, 1493, 117, 1137, 1114, 1672, 1747, 1158, 2344, 119, 23481, 3756, 1115, 3179, 6038, 10744, 1113, 1103, 4033, 11778, 1116, 2332, 1105, 2790, 4681, 1104, 1218, 118, 1217, 1169, 1129, 1276, 1107, 1103, 3783, 1105, 5660, 1104, 7188, 8708, 1121, 1213, 1103, 1362, 119, 122, 1111, 170, 2783, 1104, 3672, 117, 1242, 2833, 1132, 12061, 1106, 2647, 1796, 6038, 10744, 117, 4895, 1152, 1132, 1113, 7946, 1120, 1103, 4640, 119, 1672, 1747, 1158, 2344, 1132, 1907, 1115, 9396, 6539, 3232, 1114, 1103, 4033, 117, 1216, 1112, 1229, 5575, 117, 2807, 1120, 170, 2775, 117, 1137, 3179, 23178, 119, 1292, 1132, 3014, 5880, 2109, 2344, 1107, 1103, 1532, 1104, 8675, 117, 22591, 1116, 117, 6703, 1137, 10845, 4393, 117, 8050, 23838, 14879, 1115, 1169, 1129, 1215, 1656, 1103, 1313, 1137, 1701, 117, 1105, 2555, 14719, 119, 1292, 4683, 1132, 3387, 1106, 1103, 4033, 2258, 170, 13408, 13137, 1154, 170, 18395, 2095, 14688, 1137, 4309, 1106, 170, 1747, 14628, 1973, 1107, 1103, 5384, 1796, 2071, 170, 2487, 119, 1111, 1103, 2555, 14719, 4683, 117, 170, 5880, 2109, 15244, 1110, 11059, 1107, 1103, 12228, 6753, 1120, 1103, 3240, 1104, 1103, 2555, 117, 1223, 1103, 27154, 23810, 7264, 117, 1120, 1103, 170, 18637, 3488, 22355, 1553, 1227, 1112, 16042, 122, 119, 1121, 170, 6691, 2484, 7587, 117, 1292, 4069, 2906, 170, 14785, 1105, 9285, 117, 4795, 118, 4931, 3136, 1106, 1747, 1158, 1137, 4033, 1158, 119, 1152, 1169, 1145, 1129, 1215, 1107, 7300, 7832, 117, 1112, 1209, 1129, 1758, 1107, 1103, 2237, 3909, 14940, 1104, 9505, 1106, 2236, 119, 122, 3055, 117, 170, 1372, 1104, 1164, 170, 5955, 6962, 113, 1259, 1103, 5752, 1104, 1142, 2526, 114, 1144, 1151, 5076, 1103, 23292, 3154, 1104, 1747, 1158, 1121, 170, 2783, 1104, 22168, 119, 1142, 1844, 1144, 1521, 1106, 1167, 1190, 170, 5955, 2527, 1502, 1107, 8536, 118, 7815, 9442, 119, 1229, 1211, 1104, 1292, 3955, 2527, 2017, 3860, 1374, 5174, 117, 1678, 1487, 117, 1103, 1844, 1144, 1533, 170, 1207, 1105, 10480, 13638, 1107, 24970, 1844, 117, 1114, 4728, 14755, 1111, 13347, 1105, 1470, 2332, 119, 1103, 9505, 16008, 9486, 1118, 1103, 24970, 1844, 1661, 117, 1134, 1144, 1103, 2086, 1106, 23073, 117, 1231, 14703, 1566, 117, 1137, 172, 5815, 6120, 1103, 17555, 1195, 1138, 1189, 2456, 1677, 119, 1747, 1158, 13822, 1137, 1256, 17356, 1103, 15058, 5300, 1104, 24970, 1378, 3773, 131, 1894, 1757, 117, 3208, 117, 20085, 117, 2489, 117, 1105, 2445, 1104, 3053, 113, 3736, 122, 1105, 123, 114, 119, 6099, 6021, 1104, 8920, 13306, 24970, 1108, 3659, 1107, 1406, 1692, 2527, 1606, 2657, 18688, 14377, 113, 2482, 124, 114, 119, 123, 117, 124, 1412, 1514, 11066, 1110, 1115, 6755, 1103, 1404, 1106, 1103, 4033, 13267, 1714, 16159, 1121, 1103, 4033, 188, 2473, 1106, 2819, 1166, 1105, 1154, 1103, 1404, 117, 1187, 1152, 1169, 1138, 2848, 10649, 6859, 2227, 3154, 119, 4418, 117, 1195, 5996, 1115, 5093, 16159, 2561, 1126, 2848, 10649, 6859, 2227, 17599, 1424, 25740, 1320, 1880, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4321, 118, 21334, 1844, 1144, 3090, 1115, 6538, 1193, 5880, 2109, 3232, 1104, 1103, 1769, 1404, 1114, 1103, 2473, 1104, 1103, 4033, 113, 1747, 1158, 1137, 4033, 1158, 114, 6570, 27529, 3154, 1113, 25445, 1105, 2332, 119, 1216, 3154, 15123, 1106, 24970, 117, 11650, 11317, 117, 5785, 9523, 117, 1105, 13347, 1105, 3252, 1104, 13306, 22653, 1105, 12365, 4060, 13601, 1673, 8131, 119, 1103, 3007, 1104, 1142, 2592, 1110, 1160, 118, 11203, 131, 1106, 122, 114, 12862, 6962, 1164, 1184, 2691, 1106, 1129, 170, 1207, 7281, 1106, 1103, 2025, 1104, 24970, 117, 1105, 123, 114, 10427, 6962, 1115, 1103, 2251, 1104, 1159, 1105, 2178, 113, 4789, 1106, 1747, 114, 1104, 1747, 1158, 1104, 6700, 3551, 1110, 1126, 1696, 1133, 1932, 18459, 5318, 1115, 1169, 2933, 13950, 102 ]
[ 101, 2094, 4129, 1869, 113, 175, 6617, 114, 1110, 1141, 1104, 1103, 18168, 2234, 1118, 1103, 177, 21431, 7305, 1106, 11778, 1103, 3400, 1104, 2094, 2699, 1105, 4989, 9319, 1105, 3724, 2332, 119, 2094, 4129, 1869, 1169, 1129, 1215, 1118, 1103, 6650, 1104, 1103, 20723, 3255, 1439, 1103, 5871, 19515, 1643, 2197, 1107, 1546, 1106, 25906, 1103, 20723, 1158, 1105, 1118, 1103, 2078, 1396, 2083, 2983, 5476, 1106, 1321, 6134, 1113, 1103, 1610, 21995, 1116, 119, 1869, 1431, 2267, 1184, 3226, 113, 27772, 3186, 1389, 5500, 117, 1516, 114, 131, 178, 114, 2781, 1104, 9893, 3923, 1137, 1103, 2918, 3724, 2332, 2781, 132, 27431, 24712, 2982, 1137, 1168, 14115, 8318, 1439, 170, 7503, 1669, 1105, 1114, 170, 10602, 1669, 135, 121, 117, 1487, 1114, 1147, 4595, 1104, 3469, 1105, 10602, 6461, 132, 25550, 114, 15299, 1104, 8131, 1115, 1336, 6975, 1103, 3429, 1104, 1103, 6092, 132, 25550, 1182, 114, 1103, 2686, 117, 1191, 1152, 1132, 7503, 1106, 1103, 1470, 2332, 117, 1104, 1251, 3622, 2446, 1149, 1113, 8025, 1678, 1121, 1103, 3551, 1137, 1168, 8025, 1678, 1106, 4267, 8517, 22583, 8131, 1115, 1336, 6975, 1103, 3429, 1104, 1103, 6092, 117, 1259, 8025, 1678, 1107, 170, 8297, 1104, 1103, 9437, 1105, 1654, 1104, 15003, 22583, 1116, 1105, 25513, 132, 178, 1964, 114, 7503, 3756, 1164, 2166, 22904, 1162, 118, 1105, 2112, 118, 182, 12148, 5521, 11820, 1116, 1104, 3551, 1121, 1103, 1269, 2355, 1104, 9893, 16457, 117, 1259, 3756, 1121, 1103, 2078, 1396, 2083, 2983, 5476, 1707, 2233, 1165, 1152, 1336, 5057, 1103, 2915, 1104, 8131, 132, 191, 114, 1271, 1105, 4134, 1104, 1103, 2029, 1396, 2083, 2983, 5476, 5156, 6546, 1103, 2355, 1104, 9893, 16457, 119, 175, 6617, 1538, 1129, 2136, 1106, 1103, 20723, 3255, 9298, 1120, 1655, 1572, 177, 1196, 1103, 4870, 1104, 1103, 3551, 119, 1122, 1110, 1145, 1936, 1106, 3952, 175, 6617, 7344, 1107, 1103, 1378, 2740, 131, 1111, 18348, 117, 185, 6094, 21001, 1137, 3922, 1174, 1342, 1115, 1138, 2085, 1103, 22904, 5521, 12148, 5521, 11820, 1120, 1103, 3922, 1105, 1132, 4977, 1118, 170, 27431, 10890, 14442, 1103, 3551, 1112, 8071, 132, 1111, 20723, 1158, 1104, 4500, 1177, 10913, 15513, 1137, 1168, 3551, 2548, 1106, 5241, 20723, 1191, 4977, 1118, 170, 27431, 10890, 1120, 13053, 1158, 1103, 2265, 22904, 5521, 12148, 5521, 11820, 132, 1111, 3551, 1115, 1138, 1136, 1151, 1850, 2626, 1121, 1103, 2355, 1104, 9893, 3923, 1106, 1103, 20723, 3255, 119, 1439, 1103, 3193, 8585, 113, 174, 1665, 114, 183, 119, 21606, 1545, 120, 1478, 113, 27772, 3186, 1389, 5500, 117, 1478, 114, 1175, 1110, 1330, 5856, 1106, 8585, 113, 174, 1665, 114, 183, 119, 4859, 1495, 120, 1516, 113, 27772, 3186, 1389, 5500, 117, 1516, 114, 117, 1134, 2790, 1111, 1103, 19648, 6580, 1104, 175, 6617, 1105, 3551, 8334, 1104, 1530, 117, 2548, 1106, 11069, 1206, 2094, 1671, 6650, 113, 175, 4043, 114, 1105, 1103, 2078, 27431, 119, 1191, 1103, 27431, 6771, 1111, 1103, 20723, 1158, 117, 1256, 1107, 1103, 5884, 1104, 175, 6617, 117, 1103, 5830, 1538, 1129, 2136, 1439, 1572, 177, 117, 4303, 1103, 2072, 1610, 21995, 1116, 1209, 1129, 3072, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2094, 4129, 1869, 113, 175, 6617, 114, 1110, 1126, 11279, 1104, 1103, 1207, 27772, 3186, 1389, 8585, 119, 1157, 3007, 1110, 1106, 11778, 1103, 3400, 1104, 2094, 2699, 119, 175, 6617, 2075, 17285, 1216, 1112, 131, 2332, 2781, 117, 1869, 1113, 14115, 1105, 8131, 117, 22828, 3756, 1113, 1654, 2714, 117, 15003, 22583, 1116, 1137, 4801, 14255, 20284, 2983, 5240, 117, 1707, 2099, 117, 3576, 119, 1103, 6457, 1104, 1142, 3342, 1110, 1106, 14133, 1103, 1472, 27772, 3186, 1389, 13112, 1105, 24443, 6834, 1162, 1103, 2820, 1107, 16288, 1181, 7578, 1107, 1546, 1106, 15187, 3209, 2645, 1105, 17794, 7995, 119, 27772, 3186, 1389, 13112, 1132, 1861, 1141, 1330, 117, 1133, 1152, 1138, 1151, 24423, 1106, 1103, 174, 25786, 5521, 19840, 20946, 7832, 1104, 1296, 1352, 119, 102 ]
[ 101, 24716, 3073, 12149, 9885, 113, 1241, 2425, 1105, 3718, 114, 1138, 170, 2103, 21014, 1104, 122, 1107, 1275, 117, 1288, 119, 4529, 117, 1103, 21014, 1104, 174, 5822, 4184, 1596, 3073, 12149, 9885, 1110, 4138, 117, 1114, 2418, 6436, 1121, 6842, 17505, 7951, 113, 1893, 114, 119, 1649, 117, 1103, 21014, 1104, 24716, 3073, 12149, 9885, 1138, 1915, 4836, 1137, 3549, 117, 1105, 11476, 14471, 3549, 1121, 1406, 110, 1106, 1750, 1190, 126, 110, 1107, 1314, 1406, 1201, 1496, 1106, 1346, 12645, 1105, 2635, 119, 1346, 12645, 1144, 8824, 4443, 14452, 21442, 2635, 1107, 1242, 1104, 1292, 2740, 119, 1107, 1142, 2025, 117, 1195, 2592, 170, 1692, 1104, 2425, 24716, 10203, 1378, 1107, 4487, 118, 190, 2083, 2042, 22233, 5521, 9400, 113, 178, 6592, 114, 2374, 4443, 14452, 21442, 2716, 119, 194, 119, 185, 117, 170, 1955, 118, 1214, 118, 1385, 2130, 117, 2323, 1412, 11769, 1181, 1113, 1659, 12686, 12909, 1204, 1333, 117, 1114, 2705, 11344, 1104, 1821, 26601, 11096, 13836, 1104, 123, 1808, 117, 1378, 1126, 178, 6592, 5120, 119, 1131, 1125, 2425, 1107, 6732, 20688, 1104, 124, 1201, 117, 1105, 1108, 15819, 178, 6592, 1111, 10496, 118, 1106, 118, 8828, 2581, 5318, 11646, 1114, 10496, 185, 1883, 15901, 1322, 6758, 19091, 11776, 119, 1142, 1108, 1123, 1148, 178, 6592, 5120, 113, 14402, 1475, 3135, 17713, 173, 1477, 118, 173, 1545, 117, 177, 1665, 1403, 9887, 117, 1105, 173, 19694, 7562, 19138, 1162, 1112, 181, 6140, 1348, 1619, 114, 119, 1103, 5576, 1776, 2149, 4774, 174, 5822, 4184, 1596, 176, 16144, 2116, 21718, 1665, 1562, 1113, 1103, 16557, 2473, 1104, 1103, 190, 2083, 1361, 1105, 16557, 7404, 1104, 4728, 181, 13499, 1880, 1103, 174, 5822, 4184, 1596, 10203, 1751, 1134, 1408, 1106, 24752, 117, 1113, 18776, 1104, 1103, 190, 2083, 1361, 9793, 174, 5822, 4184, 1596, 21718, 1665, 15352, 1121, 1679, 8383, 25362, 1233, 2473, 27032, 176, 16144, 15937, 21718, 1665, 9793, 1121, 1103, 24034, 9180, 1891, 1751, 1170, 176, 16144, 15937, 21718, 1665, 1108, 8286, 1149, 24034, 9180, 1891, 1751, 1170, 8116, 1104, 174, 5822, 4184, 1596, 21718, 1665, 1105, 23123, 15540, 14229, 1123, 2166, 1441, 2050, 5082, 1348, 13874, 1127, 2366, 119, 1113, 14715, 2497, 10533, 1348, 1488, 9543, 117, 1103, 190, 2083, 1361, 1108, 9634, 1183, 117, 1304, 3528, 2366, 16278, 19438, 1322, 6758, 19091, 1818, 117, 1105, 1185, 176, 16144, 15937, 21718, 1665, 1107, 19421, 164, 2482, 128, 166, 119, 1241, 184, 8997, 1905, 1127, 2999, 1114, 170, 26661, 181, 6140, 1818, 1107, 1103, 1286, 184, 24022, 164, 3736, 129, 1105, 130, 166, 119, 1175, 1108, 170, 122, 119, 127, 3975, 3367, 1114, 5473, 16278, 19438, 13840, 117, 1601, 1106, 1103, 190, 2083, 1361, 117, 1107, 1103, 1286, 1334, 5996, 2109, 1104, 1126, 174, 5822, 4184, 1596, 10203, 21718, 1665, 119, 23651, 171, 118, 177, 1665, 1403, 1107, 1103, 1269, 1285, 1108, 5706, 20829, 1940, 1358, 120, 182, 1233, 164, 3736, 1275, 1105, 1429, 166, 119, 190, 2083, 1361, 1114, 3427, 1322, 6758, 19091, 1348, 19421, 14715, 2497, 10533, 1348, 14884, 4000, 1286, 184, 24022, 1114, 170, 26661, 181, 6140, 1818, 3077, 1104, 1103, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2425, 24716, 10203, 1110, 1126, 4450, 4054, 2076, 1104, 3908, 18614, 2042, 10203, 119, 1122, 1144, 1151, 2103, 1121, 1242, 5283, 1107, 4487, 118, 24716, 3911, 119, 1195, 2592, 170, 1692, 1104, 2425, 24716, 10203, 1378, 1107, 4487, 118, 190, 2083, 2042, 22233, 5521, 9400, 113, 1136, 2103, 2206, 1106, 1412, 3044, 114, 119, 24034, 16999, 1113, 1103, 16557, 2473, 1104, 1103, 190, 2083, 1361, 3566, 2272, 1106, 1126, 1322, 6758, 19091, 14426, 175, 13335, 1182, 119, 1346, 12645, 8824, 4443, 14452, 21442, 2635, 1104, 1142, 1692, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 11138, 2598, 1112, 1218, 1112, 4910, 2332, 1920, 1107, 1704, 1144, 117, 1107, 1864, 117, 11561, 1241, 1103, 1769, 5562, 26213, 1115, 1169, 1129, 1562, 1112, 170, 3248, 118, 1146, 3136, 117, 1187, 1103, 5351, 112, 188, 2510, 5758, 1132, 1737, 117, 1105, 1103, 25128, 20489, 2235, 1115, 1169, 1129, 4485, 1112, 170, 1499, 118, 1205, 3136, 1755, 1103, 5351, 117, 1187, 1103, 8799, 1132, 6497, 1112, 1103, 8724, 113, 181, 24704, 8780, 111, 5871, 3740, 8053, 117, 1820, 114, 119, 1103, 15610, 5669, 1216, 1112, 21357, 22399, 27067, 10584, 8569, 1105, 9111, 1104, 4420, 1107, 1661, 118, 1359, 4910, 2332, 1826, 1138, 1189, 1103, 4506, 1106, 2561, 170, 2330, 5754, 1104, 2332, 1120, 1155, 3001, 1107, 4910, 2332, 1920, 1256, 1167, 6818, 113, 12477, 17653, 13356, 1320, 117, 177, 1403, 2953, 117, 181, 5745, 1424, 117, 111, 14516, 4121, 4935, 2142, 117, 1516, 114, 119, 1126, 1696, 7762, 1144, 1151, 1189, 1206, 6946, 13347, 117, 1134, 1169, 1129, 1758, 1112, 1103, 3644, 3923, 1104, 3653, 117, 1105, 2332, 4166, 1115, 8302, 170, 1295, 1104, 2619, 5788, 1106, 7380, 3112, 3209, 1116, 1111, 2332, 113, 8228, 2692, 117, 1820, 114, 119, 1122, 1144, 1151, 4441, 1115, 117, 1780, 170, 1167, 16358, 15105, 2332, 7281, 1144, 1151, 1872, 1107, 11138, 2598, 1107, 2793, 4397, 117, 11138, 1844, 2121, 1253, 12246, 1106, 1959, 3708, 2332, 1112, 1103, 5884, 1104, 8006, 1104, 3653, 1137, 1289, 4578, 1643, 113, 177, 20236, 117, 4920, 1279, 117, 111, 171, 15626, 1162, 117, 1630, 114, 119, 170, 23448, 12329, 1144, 117, 1649, 117, 1151, 3037, 1107, 1103, 11138, 9360, 1206, 1292, 1160, 25516, 2332, 1920, 26213, 1116, 113, 12477, 2836, 111, 5679, 20537, 117, 1984, 114, 119, 170, 2817, 1107, 2332, 1920, 1115, 2606, 2871, 1113, 6946, 1105, 16312, 1116, 12246, 1106, 21293, 1103, 5351, 112, 188, 2541, 1104, 6946, 1105, 13996, 113, 27466, 6262, 4199, 117, 2056, 132, 188, 5790, 2953, 117, 179, 24211, 7355, 1204, 117, 111, 170, 1197, 18312, 6598, 117, 1581, 114, 119, 1649, 117, 1103, 1514, 2817, 1107, 2166, 1844, 4423, 2332, 1107, 4910, 2332, 1920, 1144, 1151, 1106, 27295, 1105, 4851, 4910, 6946, 1105, 8006, 1104, 3653, 117, 1229, 3933, 12904, 1103, 4420, 2993, 1104, 1619, 1111, 1147, 2332, 1121, 170, 23481, 7281, 113, 1129, 10805, 111, 21718, 1197, 5086, 1306, 2293, 117, 1581, 114, 119, 17123, 8006, 1132, 117, 1121, 1103, 7281, 1104, 3507, 19790, 16317, 117, 6497, 1112, 5300, 1104, 170, 12477, 9654, 3488, 5796, 1158, 1107, 1103, 3575, 1105, 1103, 1514, 2273, 1104, 2332, 1920, 1110, 1106, 11200, 1137, 3843, 6946, 119, 1121, 1142, 7281, 1103, 3400, 1104, 2332, 1110, 6497, 1112, 2999, 1785, 1105, 3653, 1110, 6497, 1112, 170, 1260, 27444, 1121, 1142, 2999, 1785, 119, 2452, 1106, 1142, 7281, 117, 22496, 1216, 1112, 3073, 1116, 27362, 170, 21822, 14485, 1120, 1155, 6348, 25148, 6946, 1105, 8006, 1104, 3653, 1132, 1510, 7344, 6497, 1112, 2332, 7495, 1112, 2332, 1105, 6946, 1132, 1562, 1112, 1322, 21521, 1104, 1103, 1269, 14255, 25379, 119, 1649, 117, 2332, 1169, 1136, 13230, 1129, 3716, 1107, 170, 4366, 1236, 1112, 5884, 1104, 8006, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1142, 2526, 1209, 8664, 1160, 25516, 26213, 1116, 1107, 4910, 2332, 1920, 1105, 1147, 2398, 1106, 2554, 118, 1359, 2415, 119, 1103, 25128, 20489, 7281, 1104, 3507, 19790, 16317, 1105, 1103, 2332, 7281, 1104, 21718, 7841, 19790, 16317, 1132, 1160, 1558, 7188, 4696, 1107, 4910, 2332, 1920, 119, 3112, 10082, 1104, 2332, 1132, 7440, 6497, 1112, 3594, 1136, 6736, 1111, 11435, 3622, 117, 1229, 5884, 1104, 8006, 1104, 3653, 1132, 4485, 1112, 1143, 2225, 27984, 1105, 6736, 1111, 11435, 3622, 1105, 5806, 1112, 170, 4686, 1104, 2554, 118, 1359, 2415, 119, 1191, 1103, 1514, 2273, 1104, 4910, 2332, 1920, 1110, 1106, 11778, 23481, 1193, 4531, 2332, 1621, 4420, 117, 1122, 1209, 1136, 1129, 6664, 1106, 17459, 5884, 1104, 8006, 1104, 3653, 1112, 170, 4929, 1104, 3068, 102 ]
[ 101, 176, 1193, 2093, 7257, 22832, 4233, 1105, 17972, 1132, 1113, 1103, 3606, 18526, 113, 122, 114, 119, 2452, 1106, 1103, 1211, 2793, 9161, 117, 130, 119, 124, 110, 1104, 1103, 190, 119, 188, 119, 1416, 117, 1853, 119, 122, 1550, 2833, 117, 1686, 1114, 17972, 117, 1105, 1103, 1634, 1104, 176, 1193, 2093, 8191, 1107, 1103, 1704, 1470, 113, 1928, 2698, 1158, 13441, 20636, 114, 1290, 2253, 1144, 15495, 1118, 123, 119, 126, 17713, 120, 173, 1233, 1679, 4967, 1107, 1535, 117, 1105, 1118, 124, 119, 123, 17713, 120, 173, 1233, 1679, 4967, 1107, 1441, 113, 122, 117, 123, 114, 119, 177, 24312, 18901, 2093, 8191, 1110, 1887, 1170, 6600, 2365, 1958, 117, 1216, 1112, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 117, 6625, 117, 1105, 14516, 17990, 117, 1137, 1107, 1103, 2112, 19807, 5838, 3545, 117, 1170, 17688, 6059, 113, 124, 114, 119, 6600, 118, 10645, 177, 24312, 18901, 2093, 8191, 1110, 170, 14715, 9080, 9501, 117, 4966, 1121, 1103, 13306, 20636, 173, 6834, 1874, 13830, 6840, 1814, 1164, 1118, 17972, 113, 124, 114, 119, 2527, 113, 3862, 114, 1138, 2602, 1115, 6600, 177, 24312, 18901, 2093, 8191, 1170, 17688, 6059, 117, 1134, 4365, 1107, 4420, 1241, 1114, 1105, 1443, 17972, 117, 1110, 2628, 1114, 170, 2299, 3187, 1104, 13522, 117, 1259, 1558, 16565, 117, 1105, 2569, 14471, 119, 1103, 2635, 1104, 6600, 177, 24312, 18901, 2093, 8191, 1107, 4420, 4172, 3607, 1920, 1110, 170, 2187, 1104, 1632, 6392, 113, 129, 114, 119, 1103, 12478, 1162, 1104, 20636, 1654, 2635, 17808, 1113, 1103, 11066, 1115, 1103, 2398, 1206, 177, 24312, 18901, 2093, 8191, 1105, 16798, 13950, 1110, 1141, 1104, 11019, 11700, 2116, 119, 7356, 23529, 1103, 3209, 6245, 1104, 9382, 176, 1193, 2093, 7257, 1654, 113, 4010, 2079, 2908, 14541, 1568, 17713, 120, 173, 1233, 114, 113, 5539, 1477, 114, 1138, 1666, 21776, 2686, 117, 1114, 1346, 2527, 7516, 10558, 14471, 1105, 182, 1766, 14598, 1785, 117, 1105, 4194, 2527, 4000, 170, 2960, 1104, 6245, 1137, 1256, 4146, 13950, 117, 1373, 1114, 1126, 2569, 3187, 1104, 177, 1183, 5674, 18901, 2093, 8191, 119, 1292, 7356, 1529, 170, 1119, 25710, 27054, 2285, 4557, 1104, 4420, 117, 1134, 1336, 1138, 4401, 1103, 2593, 1106, 1603, 118, 1858, 2607, 1107, 20636, 3001, 119, 1549, 1103, 13265, 1164, 1103, 12949, 1104, 1472, 19755, 15141, 18570, 8032, 1193, 2093, 8191, 117, 1211, 2657, 9306, 1138, 11889, 170, 8828, 3136, 1106, 20636, 1654, 1107, 1679, 2660, 3365, 5838, 1105, 3607, 1920, 11106, 117, 18029, 1158, 1115, 4420, 117, 8334, 1104, 1147, 17972, 2781, 117, 1138, 1147, 23651, 20636, 3001, 4441, 1120, 133, 7967, 17713, 120, 173, 1233, 113, 127, 117, 1492, 114, 119, 1167, 3055, 117, 1496, 1103, 7173, 5655, 117, 1103, 13467, 1920, 8331, 1933, 117, 170, 1569, 1788, 10510, 1106, 4607, 13950, 1107, 6059, 2133, 5252, 1132, 6783, 2103, 1113, 1103, 6425, 1111, 1143, 13328, 8836, 1105, 1143, 13328, 19954, 2704, 3265, 1105, 6975, 1231, 4060, 19364, 2217, 1880, 117, 1144, 6232, 1157, 13710, 1113, 8338, 2112, 19807, 5838, 20636, 3001, 1120, 133, 7967, 17713, 120, 173, 1233, 113, 1489, 114, 119, 1126, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 10681, 2635, 1104, 2112, 19807, 5838, 177, 24312, 18901, 2093, 8191, 1110, 6241, 1105, 2412, 1674, 1136, 1321, 1154, 3300, 3073, 118, 3685, 17972, 119, 1195, 17689, 7300, 1105, 2670, 13950, 2628, 1114, 2112, 19807, 5838, 177, 24312, 18901, 2093, 8191, 1107, 17688, 6059, 4420, 117, 188, 4487, 3121, 16877, 1118, 17972, 2781, 119, 1844, 1902, 1105, 4069, 13601, 6066, 4396, 22456, 1884, 13252, 1204, 2025, 1107, 125, 117, 26896, 17688, 6059, 4420, 2622, 1113, 1107, 1333, 119, 20636, 1108, 7140, 1120, 127, 118, 177, 14662, 1111, 3615, 177, 2112, 19807, 5838, 1193, 119, 13950, 1529, 2616, 117, 2704, 2251, 1104, 2215, 113, 12724, 114, 117, 17688, 1105, 19192, 13522, 117, 1558, 16565, 117, 1105, 1473, 119, 9815, 1206, 4177, 20636, 3001, 1105, 13950, 1127, 102 ]
[ 101, 3245, 8005, 1279, 4184, 19911, 1348, 1231, 2087, 24796, 3653, 113, 176, 25081, 114, 1110, 170, 1887, 3245, 8005, 10879, 2556, 14196, 3653, 1107, 1112, 1465, 1112, 1218, 1112, 1107, 1103, 1745, 113, 122, 117, 123, 114, 119, 2527, 1138, 2103, 1115, 1275, 110, 118, 1406, 110, 1104, 1103, 4457, 2466, 1416, 2541, 4701, 176, 25081, 8006, 113, 1762, 6715, 1105, 120, 1137, 1231, 13830, 10805, 12633, 114, 1120, 1655, 1517, 1679, 1989, 113, 122, 114, 119, 1103, 22760, 1104, 176, 25081, 1107, 4457, 180, 4474, 5443, 1110, 2103, 1106, 1129, 124, 119, 126, 110, 118, 129, 119, 126, 110, 113, 124, 118, 126, 114, 119, 1142, 2773, 1144, 1151, 3566, 6547, 1106, 2607, 1107, 10211, 117, 1126, 4138, 4079, 1416, 117, 1103, 4138, 5625, 1104, 1322, 2155, 22258, 17865, 117, 1105, 1103, 3409, 9243, 3044, 1113, 176, 25081, 119, 1103, 19863, 7877, 1348, 5754, 4856, 176, 25081, 1112, 170, 3879, 1115, 11926, 1165, 1103, 1231, 2087, 24796, 1104, 3245, 11048, 8792, 4680, 16115, 6758, 8006, 1105, 120, 1137, 13522, 113, 127, 114, 119, 170, 1295, 1104, 2918, 1105, 1835, 13112, 1105, 11859, 1111, 1103, 2635, 1104, 176, 25081, 1138, 1151, 1502, 119, 1103, 176, 1424, 7501, 10819, 2592, 1113, 1231, 2087, 24796, 3653, 2635, 117, 1502, 1107, 1729, 113, 128, 114, 117, 1105, 1103, 1112, 1465, 118, 185, 7409, 19814, 10923, 1113, 1103, 2635, 1104, 176, 25081, 117, 1502, 1107, 1369, 113, 129, 114, 117, 2166, 2527, 1437, 1115, 5250, 1633, 11188, 27558, 1116, 113, 4329, 1548, 114, 1132, 1103, 1211, 3903, 3850, 1111, 4420, 1114, 176, 25081, 113, 128, 117, 129, 114, 119, 2140, 117, 4329, 1548, 1132, 1227, 1106, 1129, 1211, 3337, 17421, 1111, 1103, 3252, 1104, 176, 25081, 119, 1649, 117, 1103, 24259, 4844, 1104, 4329, 1548, 1107, 4420, 1114, 176, 25081, 1336, 1129, 1472, 1206, 2182, 117, 1134, 1110, 6146, 6547, 1106, 1103, 2670, 2820, 1137, 1103, 2332, 5986, 1449, 119, 1107, 180, 4474, 1161, 117, 1569, 2332, 5986, 3662, 1103, 2616, 1111, 1103, 15683, 17421, 1107, 8894, 1105, 20562, 2452, 1106, 1103, 5986, 1231, 4060, 19364, 2217, 1880, 6388, 2568, 119, 17472, 117, 1103, 24259, 4844, 1104, 4329, 1548, 1215, 1111, 1103, 3252, 1104, 176, 25081, 1110, 12613, 4401, 1118, 1103, 5986, 1231, 4060, 19364, 2217, 1880, 6388, 2568, 119, 2456, 117, 1103, 6457, 1104, 1142, 2025, 1108, 1106, 5830, 2415, 4844, 1104, 3245, 8005, 25195, 16511, 1111, 1103, 2635, 1104, 176, 25081, 4420, 1223, 1103, 10298, 2933, 1104, 1103, 5986, 1231, 4060, 19364, 2217, 1880, 6388, 2568, 119, 5547, 118, 1565, 3245, 8005, 25195, 16511, 1120, 4062, 3718, 1105, 16371, 1920, 8894, 4311, 1211, 4001, 1104, 180, 4474, 1161, 3360, 1107, 1103, 2025, 119, 1155, 7828, 3245, 8005, 25195, 16511, 1127, 2320, 1106, 14240, 1164, 1406, 4776, 7408, 4420, 1150, 10790, 1104, 4701, 176, 25081, 8006, 113, 1762, 6715, 1105, 120, 1137, 1231, 13830, 10805, 12633, 114, 119, 4420, 1127, 7408, 1111, 10838, 1107, 1142, 2025, 1191, 1152, 1127, 4079, 1407, 194, 1197, 1105, 1125, 4701, 176, 25081, 8006, 113, 1762, 6715, 1105, 120, 1137, 1231, 13830, 10805, 12633, 114, 1120, 1655, 1517, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 7649, 1104, 1103, 2025, 1108, 1106, 5830, 2415, 4844, 1104, 3245, 8005, 25195, 16511, 1111, 1103, 2635, 1104, 3245, 8005, 1279, 4184, 19911, 1348, 1231, 2087, 24796, 3653, 113, 176, 25081, 114, 1223, 1103, 10298, 2933, 1104, 1103, 5986, 1231, 4060, 19364, 2217, 1880, 6388, 2568, 119, 2233, 1113, 2635, 1111, 122, 117, 21764, 4776, 4420, 1114, 4701, 176, 25081, 8006, 1127, 19916, 1193, 4465, 1219, 1479, 2277, 119, 1107, 1546, 1106, 20220, 1103, 2933, 1104, 1231, 4060, 19364, 2217, 1880, 6388, 2568, 1113, 1103, 1329, 1104, 5250, 1633, 11188, 27558, 1116, 113, 4329, 1548, 114, 117, 187, 22377, 20488, 6112, 1513, 1108, 1215, 1111, 1103, 4329, 1182, 3252, 119, 170, 1703, 1104, 5942, 1475, 4420, 113, 5117, 110, 114, 9315, 1322, 2155, 20739, 1196, 102 ]
[ 101, 170, 1692, 2592, 1104, 170, 4376, 118, 1214, 118, 1385, 2581, 9230, 1150, 4110, 2657, 2209, 1170, 170, 2370, 118, 1263, 7243, 1104, 178, 14791, 18216, 8006, 1107, 1117, 1268, 2552, 117, 4977, 1118, 5173, 170, 10182, 1785, 113, 191, 1161, 114, 24034, 8341, 1880, 119, 1103, 5351, 1460, 8366, 1348, 1105, 9619, 4728, 118, 10122, 2848, 22400, 3252, 1114, 1185, 8331, 1196, 1217, 2752, 1106, 170, 11184, 4490, 9131, 117, 1187, 1119, 1108, 1276, 1106, 1138, 191, 1161, 1104, 1406, 120, 4214, 1105, 1108, 2382, 1113, 25128, 7257, 5864, 20739, 1106, 1138, 1322, 12858, 21091, 1348, 21013, 1183, 5289, 1279, 8298, 26052, 119, 1103, 5351, 1108, 4120, 1106, 1103, 2704, 1111, 1126, 170, 3530, 2285, 8594, 6876, 1105, 1107, 4487, 7912, 2285, 191, 9012, 26639, 6112, 1513, 119, 1649, 117, 7300, 2554, 1104, 8331, 1108, 3659, 1170, 126, 1552, 1104, 2848, 4527, 18982, 1596, 1107, 4487, 7912, 2285, 7606, 119, 2335, 7300, 6021, 1108, 3890, 1120, 122, 2370, 1170, 3252, 6026, 1114, 9619, 191, 9012, 26639, 6112, 1513, 117, 1112, 23526, 1118, 191, 1161, 1104, 1406, 120, 1406, 1105, 14158, 1104, 1322, 12858, 21091, 1348, 26052, 119, 1322, 12858, 21091, 1348, 6083, 1118, 17005, 1110, 170, 4054, 3879, 119, 1107, 1142, 1692, 117, 1185, 17599, 12866, 1127, 6841, 117, 1133, 1103, 7987, 22740, 1104, 1103, 26052, 117, 1103, 1607, 1104, 1113, 21155, 18574, 13538, 1548, 117, 1105, 1103, 14449, 2593, 1106, 191, 9012, 26639, 6112, 1513, 1885, 1142, 1692, 1154, 170, 9221, 3073, 6385, 18378, 2109, 12645, 119, 1103, 11184, 4490, 1110, 1103, 184, 11702, 2401, 1211, 3337, 4634, 1118, 17005, 119, 1211, 1510, 117, 1103, 2674, 1104, 8974, 1110, 4252, 19790, 2285, 117, 1216, 1112, 1396, 16609, 1348, 14780, 117, 1621, 1639, 119, 1107, 1901, 117, 1122, 1110, 2628, 1114, 1251, 3653, 12759, 1103, 2552, 188, 2999, 2473, 117, 1216, 1112, 15970, 174, 18965, 18809, 2916, 20705, 117, 24928, 11955, 8005, 21990, 23449, 14840, 1116, 117, 1329, 1104, 3232, 16938, 117, 1105, 3718, 1120, 5208, 10255, 1104, 2765, 3948, 10748, 1170, 8366, 1348, 188, 25710, 7540, 119, 1405, 20342, 1322, 12858, 21091, 1348, 6083, 1104, 1103, 11184, 4490, 1144, 1151, 2871, 6547, 1106, 1472, 14837, 1530, 119, 127, 1649, 117, 1303, 1394, 1195, 1675, 1103, 1692, 1104, 170, 5351, 1114, 170, 2330, 1322, 12858, 21091, 1348, 20342, 6083, 1115, 4358, 5133, 1106, 27410, 2848, 14703, 12253, 1233, 7606, 1114, 191, 9012, 26639, 6112, 1513, 119, 170, 4376, 118, 1214, 118, 1385, 2581, 21806, 4328, 1200, 4110, 2657, 2209, 1170, 170, 2370, 118, 1263, 7243, 1104, 178, 14791, 18216, 8006, 1107, 1117, 1268, 2552, 4977, 1118, 5173, 170, 10182, 1785, 113, 191, 1161, 114, 24034, 8341, 1880, 119, 1117, 2657, 1607, 3659, 4252, 16073, 1104, 20557, 185, 14876, 5389, 1818, 1405, 1201, 2206, 117, 1133, 1185, 2793, 184, 11702, 14780, 1108, 2272, 1118, 1103, 5351, 119, 1103, 1704, 2657, 22351, 113, 1664, 4184, 17439, 7654, 8072, 114, 7087, 3252, 1114, 8366, 1348, 3073, 22834, 1548, 12805, 1673, 20839, 10237, 122, 110, 1105, 176, 3452, 11787, 16430, 28117, 9654, 2193, 121, 119, 124, 110, 1451, 127, 2005, 1111, 122, 1989, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3007, 2430, 2592, 1126, 5426, 1692, 1104, 20342, 1322, 12858, 21091, 10721, 1104, 15504, 1139, 18982, 1596, 4247, 119, 4069, 1161, 1692, 2592, 1104, 170, 4376, 118, 1214, 118, 1385, 2581, 9230, 1150, 4110, 2657, 2209, 1170, 170, 2370, 118, 1263, 7243, 1104, 178, 14791, 18216, 8006, 1107, 1117, 1268, 2552, 117, 4977, 1118, 5173, 170, 10182, 1785, 113, 191, 1161, 114, 24034, 8341, 1880, 119, 1103, 5351, 1460, 8366, 1348, 1105, 9619, 4728, 118, 10122, 2848, 22400, 3252, 1114, 1185, 8331, 1196, 1217, 2752, 1106, 170, 11184, 4490, 9131, 117, 1187, 1119, 1108, 1276, 1106, 1138, 191, 1161, 1104, 1406, 120, 4214, 1105, 1108, 2382, 1113, 25128, 7257, 5864, 20739, 1106, 1138, 1322, 12858, 21091, 1348, 21013, 1183, 5289, 1279, 8298, 26052, 119, 1103, 5351, 102 ]
[ 101, 1103, 6700, 3551, 117, 8453, 1105, 2635, 131, 1103, 6700, 8826, 3254, 18148, 1114, 1103, 6388, 1111, 1103, 1920, 1105, 1329, 1104, 5035, 3551, 1104, 184, 5567, 17427, 2755, 119, 1103, 7886, 1108, 2446, 1149, 1120, 1103, 1768, 2057, 1104, 3724, 2598, 1105, 6487, 117, 184, 5567, 17427, 2755, 1104, 6487, 1105, 27431, 5182, 119, 5547, 4321, 17482, 2285, 16358, 3447, 7242, 19816, 117, 1107, 1134, 14247, 1785, 1108, 1121, 2198, 1106, 4025, 1120, 3712, 1669, 117, 1127, 1215, 1107, 1142, 2025, 1105, 1125, 11019, 25043, 1206, 14516, 6451, 5521, 3169, 1349, 1105, 12686, 12909, 1204, 1368, 119, 14247, 1785, 1105, 1404, 3879, 2794, 113, 171, 6063, 114, 1104, 1103, 6700, 19816, 1120, 21252, 1104, 1103, 2025, 1127, 123, 119, 125, 121, 119, 123, 1105, 124, 119, 3746, 121, 119, 5129, 117, 3569, 119, 1103, 2025, 1108, 1982, 1121, 124, 2277, 1196, 1103, 2637, 1226, 8212, 2116, 1106, 1620, 1552, 4329, 119, 19816, 1601, 1106, 1103, 3712, 1669, 117, 1164, 122, 2370, 1196, 1103, 2637, 11019, 25115, 2236, 117, 1127, 1427, 1106, 170, 12921, 16417, 1105, 7672, 170, 2609, 1703, 3216, 6022, 1179, 164, 3712, 2187, 113, 173, 1306, 114, 3142, 131, 13272, 176, 1104, 14699, 4592, 113, 172, 1643, 114, 120, 4023, 1105, 127, 119, 127, 182, 3361, 1104, 5795, 2308, 1111, 2495, 5822, 1891, 113, 24928, 1233, 114, 120, 4023, 166, 4721, 1104, 5282, 27466, 19640, 113, 124, 119, 126, 4023, 117, 173, 1306, 3142, 131, 14383, 176, 1104, 172, 1643, 120, 4023, 1105, 126, 119, 126, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 117, 26114, 27466, 19640, 113, 126, 119, 122, 4023, 117, 173, 1306, 3142, 131, 5942, 176, 1104, 172, 1643, 120, 4023, 1105, 127, 119, 121, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 117, 10191, 1111, 3712, 19816, 113, 123, 119, 121, 4023, 117, 173, 1306, 3142, 131, 10837, 176, 1104, 172, 1643, 120, 4023, 1105, 127, 119, 129, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 1105, 5282, 20433, 113, 173, 1306, 3142, 131, 8347, 176, 1104, 172, 1643, 120, 4023, 1105, 126, 119, 128, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 8050, 181, 21883, 8928, 1235, 1226, 8212, 2116, 119, 1170, 1226, 8212, 2116, 117, 19816, 1127, 6960, 1107, 170, 1714, 118, 15523, 9328, 1105, 7672, 170, 2495, 5822, 1891, 10211, 117, 1134, 1108, 170, 3216, 6022, 1179, 113, 173, 1306, 3142, 131, 14691, 176, 1104, 172, 1643, 120, 4023, 1105, 127, 119, 123, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 4721, 1104, 5282, 113, 127, 119, 126, 4023, 117, 173, 1306, 3142, 131, 14383, 176, 1104, 172, 1643, 120, 4023, 1105, 126, 119, 126, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 117, 26114, 27466, 19640, 113, 1367, 119, 126, 4023, 117, 173, 1306, 3142, 131, 5731, 176, 1104, 172, 1643, 120, 4023, 1105, 127, 119, 125, 182, 3361, 1104, 24928, 1233, 120, 4023, 114, 1105, 10191, 1111, 14874, 19816, 113, 129, 119, 121, 4023, 117, 173, 1306, 3142, 131, 7967, 176, 1104, 172, 1643, 120, 4023, 1105, 128, 119, 122, 182, 3361, 1104, 24928, 1233, 120, 4023, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1142, 2025, 5850, 1106, 8242, 1103, 3154, 1104, 26825, 4789, 113, 178, 1197, 114, 1219, 1103, 1601, 118, 1146, 3712, 1669, 1113, 1103, 25158, 2781, 1105, 2099, 1104, 14874, 19816, 1112, 1218, 1112, 1106, 4959, 1103, 3154, 1113, 1404, 2841, 113, 171, 2246, 114, 1105, 25158, 2781, 1104, 1147, 11019, 14455, 119, 1126, 26825, 15745, 2774, 113, 1122, 1204, 114, 1108, 3303, 1118, 23972, 1158, 121, 119, 4991, 178, 1358, 120, 4023, 171, 2246, 1104, 26825, 1106, 3236, 4321, 17482, 2285, 16358, 3447, 7242, 19816, 1120, 124, 2277, 3073, 17482, 8928, 119, 1892, 8025, 1127, 4465, 1120, 121, 117, 1476, 117, 2532, 1105, 2539, 11241, 1170, 26825, 14546, 117, 1105, 19816, 1127, 3233, 1154, 1160, 2114, 1359, 1113, 1103, 1159, 2320, 1111, 20636, 1106, 2519, 1103, 102 ]
[ 101, 25128, 2007, 20561, 1895, 3510, 9947, 23415, 19134, 4029, 1121, 181, 118, 2495, 5822, 3269, 117, 118, 6707, 13166, 11179, 4798, 117, 122, 117, 125, 118, 4267, 10649, 1389, 118, 123, 118, 1141, 117, 1105, 13373, 8767, 12415, 1673, 6302, 2193, 1138, 1151, 11362, 1174, 1105, 2376, 7620, 1219, 2793, 4397, 164, 122, 117, 123, 166, 119, 1103, 9507, 2952, 4625, 1104, 3510, 21176, 1116, 3643, 1111, 1103, 4612, 1104, 2991, 1105, 1662, 21176, 1116, 2368, 3606, 1106, 9947, 23415, 19134, 1115, 1169, 1129, 17169, 1111, 2747, 3053, 1216, 1112, 25460, 1785, 164, 124, 117, 125, 166, 119, 1103, 4954, 1107, 1134, 5511, 1132, 11362, 1174, 1154, 3510, 9947, 23415, 19134, 1110, 2747, 1105, 1110, 3552, 1118, 1103, 3026, 1104, 19863, 23806, 1105, 20546, 119, 1111, 1859, 117, 1120, 1103, 4048, 1104, 14086, 184, 5822, 20534, 1162, 1112, 20546, 117, 1103, 3510, 9947, 23415, 4027, 2401, 185, 23415, 25265, 13166, 11179, 4798, 118, 185, 23415, 1742, 5822, 3269, 113, 185, 1665, 1233, 118, 185, 1742, 114, 1110, 1824, 1191, 1103, 118, 6707, 13166, 11179, 4798, 1110, 21176, 2200, 1148, 117, 1723, 1118, 21176, 2734, 1104, 181, 118, 2495, 5822, 3269, 119, 1649, 117, 170, 7091, 9947, 23415, 4027, 1110, 3836, 1165, 185, 1742, 1110, 2786, 11362, 1174, 1723, 1118, 185, 1665, 1233, 164, 126, 117, 127, 166, 119, 1142, 1110, 170, 1871, 1104, 14715, 12831, 5783, 1104, 1103, 185, 1742, 1105, 6441, 1891, 1104, 1103, 3510, 21176, 119, 1160, 6259, 9535, 1219, 1610, 4184, 113, 15245, 1126, 1988, 1596, 3170, 2280, 21176, 5771, 114, 4467, 132, 113, 178, 114, 3170, 118, 2280, 1104, 12890, 1200, 10150, 1107, 10799, 1104, 1103, 3288, 172, 24974, 19863, 23806, 1105, 113, 25550, 114, 172, 19094, 21226, 1104, 1103, 12890, 1200, 10150, 1107, 1103, 23639, 16071, 9016, 21025, 1116, 1104, 1103, 21176, 119, 1292, 6259, 9535, 12864, 1113, 1103, 3026, 1104, 20546, 117, 1103, 3685, 21176, 117, 1134, 4096, 1112, 170, 23639, 21418, 2605, 10691, 2772, 117, 1105, 1103, 2076, 1104, 19863, 23806, 1896, 1120, 1103, 1248, 2016, 1104, 21176, 11362, 119, 8756, 3384, 1103, 20546, 12750, 1111, 1859, 117, 194, 113, 172, 2087, 1495, 2528, 1186, 114, 124, 120, 2393, 113, 1110, 1186, 118, 171, 1358, 114, 124, 20546, 1137, 1103, 2703, 164, 194, 113, 181, 1545, 114, 118, 196, 183, 113, 27466, 18208, 1162, 1477, 114, 123, 198, 113, 24438, 2087, 114, 166, 14710, 1103, 3288, 11362, 1104, 1103, 185, 1742, 3510, 117, 1723, 1118, 1103, 185, 1665, 1233, 3510, 119, 2799, 1115, 8247, 6366, 1104, 2393, 113, 184, 9717, 1197, 114, 124, 20546, 1180, 1129, 8587, 1194, 14501, 1114, 188, 1830, 113, 9294, 114, 123, 113, 113, 188, 114, 118, 113, 114, 118, 123, 117, 1406, 118, 164, 122, 117, 1275, 118, 9055, 25890, 2340, 1233, 118, 123, 117, 1406, 118, 4267, 7777, 14866, 113, 11437, 6013, 2858, 11006, 20473, 25382, 1673, 114, 166, 20866, 10436, 4063, 114, 117, 3525, 11362, 1104, 1103, 3510, 2401, 185, 1665, 1233, 118, 185, 1742, 118, 185, 1665, 1233, 117, 1187, 1103, 185, 1742, 3510, 1108, 11362, 1174, 1118, 1103, 1148, 2438, 119, 1748, 4982, 117, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1218, 118, 3393, 4267, 118, 1105, 189, 2047, 27467, 9947, 23415, 19134, 4721, 1104, 118, 6707, 13166, 11179, 4798, 113, 172, 1233, 114, 117, 181, 118, 2495, 5822, 3269, 113, 2495, 114, 117, 1105, 13373, 8767, 12415, 1673, 6302, 2193, 113, 189, 1306, 1665, 114, 1127, 26662, 2258, 185, 1742, 1148, 2438, 1107, 15245, 1126, 1988, 1596, 3170, 2280, 21176, 2734, 120, 9947, 23415, 4027, 2734, 113, 1610, 4184, 114, 1114, 14086, 113, 25550, 114, 184, 5822, 20534, 1162, 1112, 20546, 119, 1103, 8759, 3510, 2401, 1108, 6018, 1118, 1329, 1104, 9760, 5194, 8588, 118, 1899, 18873, 13913, 16717, 1118, 10878, 1103, 14715, 12831, 5783, 1334, 118, 9535, 119, 12477, 5253, 1182, 118, 1106, 2087, 3622, 3090, 1115, 1103, 3636, 6978, 1110, 2628, 1114, 118, 1899, 102 ]
[ 101, 1103, 6099, 8331, 1107, 3068, 117, 11978, 117, 1105, 2616, 1104, 1397, 3964, 14516, 27276, 113, 21174, 1116, 114, 1144, 3657, 1107, 3254, 2354, 6385, 5498, 8313, 1107, 3622, 4884, 119, 1111, 10548, 117, 1103, 11731, 1104, 21195, 1111, 3340, 7288, 117, 6099, 1105, 1344, 3438, 14516, 27276, 117, 1105, 9881, 2233, 3622, 15826, 1116, 1111, 15519, 1231, 2217, 27276, 1105, 5839, 1125, 23173, 3549, 4692, 1105, 4725, 17104, 1104, 1292, 2686, 119, 1103, 3254, 3702, 17903, 2734, 1104, 19560, 15519, 14516, 27276, 1144, 1521, 1106, 1167, 2703, 4683, 131, 7300, 1105, 5035, 20346, 1116, 164, 1489, 166, 117, 8010, 11432, 1105, 9437, 164, 4667, 166, 117, 1769, 2332, 2527, 164, 129, 117, 130, 166, 117, 25128, 12650, 17449, 4863, 164, 1275, 117, 1429, 166, 117, 4801, 2527, 117, 1105, 1242, 1639, 164, 1492, 117, 1489, 166, 119, 1111, 21174, 1116, 6833, 117, 1954, 14516, 27276, 7951, 4752, 1115, 14516, 27276, 16677, 1468, 1129, 181, 25342, 1181, 1106, 173, 1605, 11062, 1196, 14516, 27276, 1110, 1936, 119, 181, 13499, 2116, 1104, 16677, 1468, 1106, 113, 3417, 1353, 114, 173, 1605, 11062, 1110, 1126, 1107, 11470, 19568, 1965, 117, 12713, 181, 25342, 1181, 9890, 1116, 1121, 1178, 170, 1353, 13394, 1104, 9271, 173, 1605, 10799, 119, 1142, 26802, 1107, 1885, 6986, 1103, 2320, 173, 1605, 7758, 117, 1114, 1103, 1178, 2273, 1217, 1106, 9509, 6664, 2849, 1104, 181, 25342, 1181, 11062, 1106, 2621, 14516, 27276, 119, 4701, 3340, 7288, 4069, 4752, 1415, 7919, 113, 199, 122, 176, 114, 1120, 1344, 14759, 113, 135, 1512, 21174, 120, 182, 1233, 114, 1104, 173, 1605, 1111, 2265, 3340, 3964, 117, 15816, 1103, 3322, 1104, 8025, 1115, 1169, 1129, 4954, 1181, 1231, 4567, 4999, 119, 1292, 1511, 1344, 15661, 26468, 1104, 1256, 1757, 1105, 2335, 1757, 1104, 15519, 5811, 1112, 170, 3053, 1104, 110, 176, 1665, 3438, 117, 7758, 173, 1605, 12709, 117, 1105, 14516, 27276, 2815, 164, 17576, 1580, 166, 119, 1292, 3772, 1103, 2971, 1104, 14516, 27276, 2233, 2320, 1105, 1103, 3068, 1104, 15519, 5839, 1105, 3622, 119, 1317, 3340, 7288, 21195, 1115, 4752, 24450, 21174, 1104, 7758, 173, 1605, 1132, 1208, 1907, 113, 1207, 4035, 1403, 1931, 25128, 1742, 4832, 112, 24928, 1830, 24321, 1204, 117, 5178, 14088, 1605, 112, 188, 189, 6208, 1162, 4426, 9468, 2728, 117, 25128, 1186, 3812, 112, 188, 1397, 23445, 1775, 117, 183, 26623, 112, 188, 184, 11583, 18737, 6737, 117, 3576, 119, 114, 119, 1142, 2526, 4068, 1103, 2686, 1104, 10540, 1104, 1103, 10345, 1104, 1103, 24928, 1830, 24321, 1204, 18737, 3340, 7288, 21195, 1111, 1241, 1231, 2217, 27276, 1105, 5839, 1104, 1317, 19560, 15519, 1116, 119, 1195, 14133, 1103, 1256, 1757, 1105, 2335, 1757, 1104, 5811, 1206, 24928, 1830, 24321, 1204, 18737, 1105, 5178, 14088, 1605, 189, 6208, 1162, 4426, 21195, 1111, 19560, 15519, 1116, 1104, 9507, 2060, 1105, 110, 176, 1665, 3438, 119, 1412, 9505, 5057, 1115, 1822, 173, 1605, 7758, 7919, 1132, 6664, 1106, 9509, 1344, 3068, 14516, 27276, 2233, 1115, 1169, 1129, 1215, 1111, 15519, 1231, 2217, 27276, 1137, 1260, 1185, 6005, 5839, 113, 1191, 3490, 1114, 1263, 17906, 2233, 114, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 14516, 27276, 19560, 15519, 1116, 1144, 7440, 2320, 1415, 7919, 1104, 176, 26601, 7257, 173, 1605, 113, 199, 122, 176, 114, 119, 1175, 1138, 1151, 1374, 2527, 1106, 4959, 1103, 3154, 1104, 1103, 7758, 173, 1605, 2971, 1137, 3340, 7288, 3442, 1113, 1103, 3068, 1104, 14516, 27276, 2233, 119, 1317, 1207, 11514, 1907, 3340, 7288, 4069, 9396, 15210, 14516, 27276, 1121, 1112, 1376, 1112, 122, 21174, 1104, 7758, 173, 1605, 119, 1107, 1142, 2025, 117, 1195, 17428, 1103, 24928, 1830, 24321, 1204, 18737, 3340, 7288, 1231, 2553, 5240, 1111, 14516, 27276, 19560, 15519, 1116, 119, 1195, 1138, 17428, 1103, 10345, 1104, 24928, 1830, 24321, 1204, 18737, 1111, 1231, 2217, 27276, 1105, 1260, 1185, 6005, 5839, 1104, 1300, 19560, 15519, 1116, 1105, 3402, 1157, 2099, 1114, 1103, 102 ]
[ 101, 11937, 11431, 16838, 7777, 10721, 1110, 1145, 1227, 1112, 5538, 9007, 1137, 6613, 11153, 6620, 1104, 1103, 4252, 23826, 1766, 6130, 1104, 1103, 17284, 1105, 4431, 1106, 2489, 1105, 8886, 1757, 1166, 1103, 11937, 11431, 16838, 12415, 1104, 1103, 21820, 27955, 132, 1142, 2489, 1110, 18088, 1118, 13672, 1202, 1733, 8914, 21729, 1988, 1104, 1103, 6703, 1137, 1103, 2243, 3602, 119, 1122, 1144, 1151, 3555, 1115, 122, 118, 124, 110, 1104, 1103, 1416, 8813, 1121, 1142, 3879, 1114, 4463, 3735, 1206, 1441, 1105, 1535, 119, 3507, 4184, 7889, 23652, 6360, 1104, 11937, 11431, 16838, 7777, 10721, 1211, 3337, 6808, 184, 13894, 11860, 12090, 23901, 1226, 1104, 1103, 4252, 23826, 1766, 6130, 1104, 1103, 6703, 1120, 1147, 4247, 113, 1103, 11937, 11431, 16838, 12415, 114, 132, 1621, 1292, 117, 1103, 6613, 1320, 1104, 1103, 4252, 23826, 1766, 1610, 8508, 17172, 1548, 9304, 6348, 1548, 1110, 1167, 3337, 2017, 119, 1122, 1110, 2475, 1115, 1103, 3773, 6808, 3632, 113, 1719, 17599, 21442, 1137, 23639, 5864, 22258, 114, 1107, 1103, 4247, 1104, 1103, 4252, 23826, 1766, 6130, 1104, 1103, 6703, 117, 1134, 4501, 1106, 1126, 22653, 2593, 1105, 1107, 1103, 13306, 2740, 176, 4047, 6856, 1105, 20497, 12725, 1361, 7918, 119, 2527, 1138, 2602, 1115, 1211, 2740, 1104, 11937, 11431, 16838, 7777, 10721, 8803, 20497, 12725, 2941, 7918, 1105, 1126, 10712, 27364, 1112, 170, 1871, 1104, 1134, 1199, 2059, 1115, 6613, 4559, 4863, 1110, 170, 1167, 5663, 1858, 1111, 1103, 3879, 1190, 6613, 4729, 6620, 119, 1122, 1144, 1151, 4491, 1115, 1103, 1211, 1887, 4680, 1104, 11937, 11431, 16838, 7777, 10721, 1132, 1166, 5613, 5917, 119, 6613, 4199, 1132, 3860, 177, 1183, 5674, 11509, 11702, 1105, 1112, 170, 1871, 1132, 13557, 1106, 5917, 1134, 1132, 2612, 1118, 177, 1183, 26466, 1465, 1216, 5917, 1932, 1871, 1121, 25779, 1105, 8470, 2619, 119, 1292, 2619, 1511, 113, 1133, 1132, 1136, 2609, 1106, 114, 131, 1171, 9332, 6625, 1107, 187, 7409, 10457, 2865, 117, 15943, 1107, 3866, 117, 26716, 1113, 6184, 117, 26976, 25779, 1289, 5172, 1216, 1112, 12582, 1158, 1137, 3759, 13084, 1116, 1105, 4004, 2302, 24477, 1116, 119, 8006, 1104, 1103, 3879, 1511, 2489, 1113, 1103, 11937, 7631, 1104, 1103, 9007, 117, 3549, 5688, 117, 2773, 1107, 2489, 1114, 3246, 1105, 3549, 3220, 1104, 1103, 4252, 23826, 1766, 2619, 1104, 1103, 6703, 119, 2693, 1103, 1864, 1115, 1142, 3879, 1510, 14756, 1126, 22653, 6552, 1103, 1514, 2951, 1104, 1103, 11937, 11431, 16838, 7777, 10721, 1110, 8886, 1757, 1104, 1103, 11937, 11431, 16838, 12415, 11646, 1114, 2489, 1113, 13672, 1202, 1733, 8914, 21729, 1988, 1104, 1719, 6703, 1137, 2243, 3602, 119, 1103, 2554, 2196, 1115, 4573, 110, 1104, 4420, 11544, 1719, 20061, 1193, 1137, 1118, 6588, 5252, 2041, 119, 1142, 1144, 1521, 1199, 16681, 1106, 2059, 1115, 1122, 1110, 1136, 3238, 1106, 7299, 11937, 11431, 16838, 7777, 10721, 117, 1147, 6171, 1110, 2726, 1118, 2527, 1216, 1112, 1103, 2025, 1118, 188, 3080, 12518, 3084, 2393, 119, 1134, 2799, 170, 2609, 5257, 1111, 3252, 182, 16848, 16652, 1168, 1190, 5363, 2861, 2635, 119, 1141, 1104, 1103, 14115, 1134, 1144, 25731, 18276, 24553, 1348, 2554, 1241, 1111, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 11937, 11431, 16838, 7777, 10721, 1110, 170, 1887, 2463, 12759, 122, 118, 124, 110, 1104, 1103, 1416, 119, 1175, 1144, 1151, 1277, 5655, 1164, 1103, 1436, 3252, 182, 16848, 11796, 1111, 1142, 3879, 119, 1175, 1110, 117, 1649, 117, 1185, 14255, 16891, 2554, 1107, 1619, 1104, 1251, 1104, 1103, 3000, 3252, 182, 16848, 16652, 119, 1107, 1142, 3443, 117, 1195, 1138, 2376, 1103, 2629, 1104, 1884, 3740, 10658, 4648, 7874, 14546, 113, 1114, 1137, 1443, 188, 1643, 22761, 1158, 114, 1114, 2999, 21718, 2568, 14546, 113, 1114, 1137, 1443, 188, 1643, 22761, 1158, 114, 119, 3881, 1105, 4069, 131, 1107, 1142, 2702, 118, 7198, 117, 7091, 2200, 7300, 3443, 117, 2833, 1127, 19729, 3346, 1106, 1719, 1104, 1300, 3252, 2114, 1105, 1460, 1719, 1969, 102 ]
[ 101, 2967, 188, 10536, 21556, 1110, 170, 13306, 26707, 4980, 10655, 1916, 3653, 1104, 1103, 2129, 5604, 1449, 117, 12759, 1251, 1226, 1104, 1103, 172, 2316, 117, 1133, 2426, 1653, 2187, 26945, 1107, 1103, 21831, 24114, 1116, 117, 11769, 2941, 10846, 117, 16570, 18408, 117, 172, 9014, 14545, 1818, 117, 1105, 19245, 13408, 119, 1103, 22760, 1104, 1103, 8936, 9123, 1206, 123, 1105, 4214, 120, 1620, 117, 1288, 5763, 1113, 1103, 1583, 1137, 2747, 1416, 117, 12759, 2324, 122, 1550, 1234, 4529, 119, 17123, 8006, 1107, 1103, 5618, 1104, 182, 1116, 1127, 1148, 2382, 1118, 22572, 1813, 18982, 117, 1150, 1758, 1299, 1465, 117, 2885, 21977, 9400, 1116, 117, 1105, 7560, 1621, 1168, 23487, 6006, 1104, 1103, 3653, 119, 7218, 22760, 1104, 1558, 7560, 9123, 1121, 1627, 1106, 4335, 110, 117, 5763, 1113, 1103, 1416, 6876, 1105, 20346, 9173, 1215, 164, 5599, 166, 119, 2683, 22760, 1110, 3555, 1120, 1479, 110, 117, 1105, 1553, 22760, 1104, 7300, 1193, 2418, 1260, 16568, 8006, 1110, 1112, 1344, 1112, 1851, 110, 119, 1103, 2603, 1104, 1260, 16568, 11759, 1107, 170, 185, 24795, 1416, 1114, 26707, 4980, 10655, 1916, 3653, 1144, 1151, 3555, 1120, 1765, 110, 119, 20178, 117, 22760, 1110, 9627, 2299, 1190, 1107, 1103, 1704, 1416, 1137, 1621, 4420, 1114, 1704, 2657, 2975, 1168, 1190, 182, 1116, 119, 3084, 19840, 8032, 1596, 5320, 3166, 1106, 1129, 1241, 7269, 1105, 15604, 21155, 22354, 12562, 117, 1105, 3187, 5320, 1138, 1151, 2103, 1106, 1129, 2130, 2673, 117, 1425, 133, 2588, 1201, 117, 1266, 1607, 1104, 1558, 7560, 117, 1105, 170, 1344, 1634, 1104, 6600, 119, 3653, 118, 22015, 1158, 5789, 117, 9455, 6732, 1320, 11933, 1107, 2440, 117, 1138, 1145, 1151, 6321, 1106, 21497, 1260, 16568, 188, 17162, 6451, 7903, 25333, 164, 1489, 117, 1405, 166, 119, 1649, 117, 4194, 1218, 118, 2011, 2527, 2604, 1106, 5424, 170, 1260, 11135, 17960, 2629, 117, 1105, 3073, 7877, 2980, 1880, 15941, 6601, 1108, 1276, 1106, 1129, 1103, 1436, 17163, 1766, 1104, 4194, 7560, 164, 1479, 117, 1542, 166, 119, 1103, 4495, 1104, 1142, 7300, 2486, 1169, 1136, 1129, 1223, 2556, 26155, 117, 1549, 1157, 1344, 5625, 117, 1103, 1936, 16798, 3154, 1104, 7560, 1113, 3653, 1736, 117, 12176, 12641, 117, 3252, 8050, 21634, 117, 3687, 24951, 4179, 8421, 1113, 3068, 1104, 1297, 117, 1105, 2569, 3187, 1104, 5680, 164, 1659, 117, 1695, 166, 119, 16679, 117, 4910, 3254, 1766, 14598, 1785, 1105, 7560, 1107, 2440, 1132, 3933, 1223, 7168, 25566, 5591, 1105, 1223, 7877, 2913, 117, 1114, 2103, 5600, 1104, 4007, 12645, 1213, 24482, 1568, 110, 164, 127, 117, 1572, 166, 1105, 5600, 1104, 15694, 3252, 1213, 1406, 110, 3164, 110, 1104, 1343, 7516, 7560, 164, 127, 117, 1512, 166, 119, 1107, 170, 2771, 118, 2237, 1348, 1661, 2025, 1104, 4420, 1114, 182, 1116, 1118, 172, 26883, 1179, 3084, 2393, 119, 117, 4589, 110, 1104, 1103, 4420, 1150, 1125, 2418, 8006, 1104, 7560, 1127, 1136, 1781, 15683, 117, 3566, 1496, 1106, 4007, 12645, 117, 16926, 1104, 8006, 117, 1137, 6014, 7516, 117, 6142, 1103, 1832, 3746, 110, 1460, 15694, 3252, 119, 1107, 1103, 2006, 6876, 113, 183, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2967, 188, 10536, 21556, 1110, 170, 13306, 26707, 4980, 10655, 1916, 3653, 12759, 1141, 1550, 1234, 4529, 117, 1114, 170, 2418, 11904, 1104, 17123, 3254, 1766, 14598, 1785, 119, 7560, 1110, 1103, 1887, 2556, 17123, 23487, 1891, 1133, 1253, 2606, 3494, 1223, 7168, 25566, 5591, 1105, 1223, 7877, 2913, 119, 1103, 1675, 1250, 3761, 1954, 3044, 1113, 12645, 117, 8670, 117, 1105, 1177, 10734, 1105, 15604, 21155, 12858, 5970, 3186, 16065, 1665, 3252, 22496, 1111, 7560, 1107, 4457, 1105, 185, 24795, 6623, 1104, 4420, 1114, 2967, 188, 10536, 21556, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 15661, 26468, 1107, 7300, 2593, 1106, 2530, 20340, 18463, 2553, 6716, 1179, 1108, 2103, 1107, 1103, 4057, 1118, 1242, 17735, 1107, 1103, 1768, 119, 1290, 1173, 117, 1103, 3852, 1206, 19863, 17960, 185, 23415, 26271, 19649, 1116, 1105, 9138, 1104, 5557, 112, 20443, 117, 3936, 117, 1137, 4010, 1125, 1151, 3626, 1105, 1103, 4152, 1104, 2357, 2200, 3850, 7606, 1107, 2332, 1920, 19512, 164, 122, 117, 123, 166, 119, 185, 7111, 1918, 2528, 4915, 18882, 1665, 118, 8610, 3850, 7606, 1111, 5351, 1110, 1359, 1113, 1103, 20197, 1115, 170, 1415, 3849, 1104, 9455, 24704, 11083, 2386, 4746, 15661, 26468, 1107, 3850, 2593, 113, 23891, 1105, 120, 1137, 25954, 114, 1110, 21989, 3552, 119, 2693, 1103, 6506, 4453, 1104, 1103, 3812, 12478, 1162, 1105, 1103, 7300, 7249, 1104, 185, 7111, 1918, 2528, 4915, 18882, 1665, 5715, 1120, 1317, 1558, 3397, 2657, 4300, 164, 3413, 166, 117, 1211, 12257, 5895, 1105, 6962, 4349, 1107, 1103, 9360, 1156, 5340, 1115, 1103, 1346, 4152, 1104, 11190, 2357, 2200, 7606, 1107, 1103, 1532, 1104, 20340, 6716, 2316, 24423, 1106, 1126, 2510, 112, 188, 7434, 6168, 2606, 1199, 1201, 1283, 119, 14548, 3522, 117, 1103, 1718, 1105, 7249, 19530, 1111, 185, 7111, 1918, 2528, 4915, 18882, 1665, 5715, 8296, 1104, 1317, 5251, 113, 2482, 122, 114, 131, 1148, 117, 6004, 1104, 185, 7111, 1918, 2528, 4915, 18882, 1665, 25128, 8519, 1468, 1105, 9221, 1891, 1107, 1218, 118, 4013, 2527, 1114, 2457, 6623, 132, 1248, 117, 25544, 1104, 3850, 118, 5565, 113, 188, 114, 3852, 1105, 11104, 1104, 10345, 1107, 1120, 118, 3187, 4420, 132, 1503, 117, 1718, 1105, 12638, 5684, 1104, 8573, 118, 20346, 2774, 132, 2223, 117, 23529, 1103, 7300, 3772, 1105, 2616, 118, 12949, 1104, 1103, 185, 7111, 1918, 2528, 4915, 18882, 1665, 25128, 8519, 1468, 132, 3049, 117, 6083, 1104, 1155, 26027, 1107, 7300, 7249, 119, 8497, 3560, 1107, 1543, 185, 7111, 1918, 2528, 4915, 18882, 1665, 118, 8610, 7606, 5616, 1106, 12257, 5895, 1138, 3626, 2967, 3812, 7806, 1105, 7249, 14317, 3685, 1439, 1292, 5251, 117, 1296, 1104, 1134, 1110, 20573, 1118, 23210, 1104, 26027, 1114, 9177, 2513, 1105, 4740, 119, 1142, 2526, 1209, 2194, 170, 7281, 1113, 1292, 3685, 7806, 1105, 14317, 1107, 1103, 2703, 1965, 1104, 16381, 185, 7111, 1918, 2528, 4915, 18882, 6063, 1107, 7300, 2415, 117, 1112, 1218, 1112, 14239, 185, 7111, 1918, 2528, 4915, 18882, 6063, 1154, 1103, 3850, 1718, 1965, 119, 1242, 185, 7111, 1918, 2528, 4915, 18882, 1665, 25128, 8519, 1468, 1138, 1151, 3626, 1166, 1103, 1314, 4967, 117, 1133, 1178, 1374, 1104, 1172, 1138, 1151, 12750, 1106, 1472, 6102, 1116, 1107, 7300, 3545, 113, 1952, 122, 114, 119, 1141, 1104, 1103, 1558, 7806, 1111, 26894, 1211, 2751, 25128, 8519, 1468, 1106, 1147, 7300, 7249, 1112, 176, 26601, 7257, 5715, 1144, 1151, 1103, 22410, 25544, 1871, 1104, 7434, 9815, 117, 2480, 2041, 1137, 1107, 4612, 119, 7440, 117, 1103, 3234, 5565, 3136, 14239, 170, 5962, 1104, 9077, 1115, 4035, 13775, 1227, 3850, 7539, 117, 27154, 15792, 4404, 17664, 117, 1105, 10936, 3936, 1468, 1110, 1215, 1107, 185, 7111, 1918, 2528, 4915, 18882, 1665, 2527, 1106, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 13970, 1104, 1103, 1769, 15519, 1105, 4194, 19024, 1116, 1107, 7434, 2815, 1125, 2136, 12257, 5895, 1105, 6479, 1126, 4287, 1104, 1103, 7434, 3142, 1104, 8599, 3850, 185, 7111, 1918, 2528, 4314, 22259, 1105, 185, 7111, 1918, 2528, 24662, 1116, 117, 1112, 1218, 1112, 1199, 5136, 1104, 11892, 176, 26601, 7257, 2233, 1107, 7300, 2415, 119, 1142, 1144, 2120, 1103, 1470, 19351, 1115, 17163, 1158, 4420, 112, 11317, 1106, 3850, 7606, 1110, 1208, 1936, 1107, 1451, 20340, 1298, 117, 1105, 2357, 2200, 3850, 7606, 1156, 1435, 10639, 1190, 1224, 119, 1649, 117, 5655, 3430, 1621, 1211, 26027, 2017, 1107, 3850, 1718, 1105, 7300, 2383, 118, 1543, 1113, 2480, 185, 7111, 1918, 2528, 4915, 18882, 1665, 25128, 8519, 1468, 1431, 1129, 1215, 1107, 5351, 8670, 117, 102 ]
[ 101, 1142, 2025, 14215, 1300, 15245, 19755, 6303, 1103, 1269, 4267, 2225, 8246, 13316, 13782, 2225, 2815, 3303, 1120, 1103, 5659, 1104, 12921, 8625, 113, 1122, 17449, 114, 1105, 19863, 1204, 10522, 9888, 113, 175, 10555, 114, 117, 1103, 2755, 1104, 16946, 1465, 113, 190, 2497, 114, 117, 1105, 1103, 21718, 2316, 1818, 17972, 1844, 8918, 117, 21718, 13130, 2927, 18228, 117, 11019, 2646, 14467, 4558, 1465, 119, 1106, 2774, 2480, 170, 6866, 2179, 1110, 4451, 1104, 1919, 1149, 27420, 1804, 118, 7812, 1654, 117, 1195, 1138, 14255, 18930, 170, 1449, 9472, 1907, 5644, 117, 1134, 1127, 5128, 1112, 3226, 131, 172, 1403, 1306, 25021, 11708, 4267, 2225, 113, 1919, 1155, 1804, 118, 7812, 3254, 19675, 1116, 117, 4795, 8551, 117, 1105, 6678, 1106, 17963, 5197, 114, 25021, 11708, 11188, 119, 1103, 25021, 11708, 1110, 1126, 6700, 4442, 7227, 1118, 22233, 20117, 113, 1908, 2821, 117, 12477, 114, 117, 1134, 14215, 170, 1260, 1775, 8178, 1978, 4882, 8352, 1105, 184, 1306, 2605, 5674, 1181, 26825, 11188, 119, 1107, 1901, 117, 4267, 2225, 3175, 2233, 1107, 1842, 1159, 1106, 170, 2129, 2450, 3525, 6456, 9437, 1104, 5351, 1352, 1105, 1449, 4226, 119, 1103, 2425, 3752, 1322, 1553, 1108, 1103, 3029, 1159, 1114, 1155, 1449, 6678, 1684, 7513, 132, 1103, 11309, 26440, 1111, 2244, 1107, 1142, 1346, 175, 14517, 7706, 2025, 1108, 1142, 1159, 3634, 135, 2908, 110, 1104, 1103, 1703, 1159, 1104, 4449, 119, 3718, 1322, 1827, 1529, 1103, 12890, 21517, 1104, 1103, 4290, 5600, 1104, 1449, 5644, 117, 5625, 3622, 1104, 1575, 1137, 1107, 7409, 28106, 172, 1403, 1306, 3002, 117, 1105, 1654, 9932, 2099, 119, 1103, 7300, 2273, 1108, 1106, 15187, 4420, 1105, 12257, 5895, 23481, 25263, 1104, 1103, 1449, 117, 178, 119, 174, 119, 117, 1103, 175, 14517, 7706, 1104, 1157, 1821, 23601, 6207, 1329, 117, 1259, 5351, 1366, 6328, 1105, 4330, 6328, 119, 170, 1703, 1104, 1406, 6323, 113, 1425, 22148, 1571, 1201, 114, 1114, 2076, 122, 17972, 1127, 2376, 113, 126, 5174, 1120, 1296, 1751, 114, 119, 1196, 1103, 5715, 117, 170, 3955, 2548, 1108, 1982, 1107, 1122, 17449, 117, 175, 10555, 117, 1105, 1107, 1103, 10280, 2231, 119, 1155, 6635, 1127, 4531, 26825, 11188, 4713, 1105, 1127, 2320, 1106, 1138, 1103, 1378, 131, 3073, 2050, 4867, 1183, 177, 2822, 1475, 1665, 1104, 5691, 110, 132, 3073, 2007, 24191, 1181, 26825, 11188, 11934, 1111, 16361, 5600, 117, 1610, 4043, 7889, 7412, 1566, 24576, 117, 1105, 26825, 15750, 5320, 132, 1105, 4778, 4910, 2781, 120, 1884, 25763, 119, 1103, 18434, 9173, 1127, 2002, 1755, 3429, 1105, 1529, 2793, 1607, 1104, 4267, 22377, 2941, 180, 20713, 7409, 12894, 4863, 1137, 5199, 177, 1183, 5674, 18901, 2093, 8191, 117, 10203, 117, 7209, 8124, 17141, 117, 1137, 6247, 1104, 2479, 6391, 113, 3032, 114, 117, 8362, 7235, 8005, 11572, 1893, 19860, 177, 24312, 23826, 1988, 117, 1105, 2975, 1115, 1336, 2773, 1103, 3187, 1104, 177, 1183, 5674, 18901, 2093, 8191, 1137, 16565, 119, 1107, 1901, 117, 1103, 10280, 2231, 1359, 2527, 1460, 2094, 1105, 3850, 3469, 5684, 113, 25021, 1162, 108, 176, 11964, 7629, 17101, 114, 1105, 1103, 27772, 3186, 1389, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 2430, 17459, 1103, 175, 14517, 7706, 1104, 170, 4330, 1895, 8246, 13316, 13782, 2225, 1449, 117, 1103, 17972, 3109, 113, 4267, 2225, 114, 117, 1134, 2745, 170, 6866, 2179, 1112, 170, 1804, 118, 7812, 1654, 3482, 119, 1844, 1902, 1105, 4069, 1204, 10781, 2340, 4420, 1114, 2076, 122, 17972, 1127, 7945, 1120, 1103, 5659, 1104, 12921, 8625, 117, 19863, 1204, 10522, 9888, 117, 1105, 16946, 1465, 1105, 1120, 21718, 2316, 1818, 17972, 1844, 8918, 119, 1296, 3443, 1598, 1111, 3565, 177, 119, 1103, 10280, 2231, 2527, 1127, 3303, 3665, 1107, 1149, 27420, 3545, 113, 174, 119, 176, 119, 117, 3415, 1137, 3648, 1402, 114, 132, 2527, 1107, 1122, 17449, 1105, 175, 10555, 1127, 9890, 2704, 3415, 25831, 119, 170, 6803, 20636, 9437, 120, 11188, 1449, 102 ]
[ 101, 6635, 1111, 1142, 2025, 1127, 8443, 1121, 1160, 3953, 1877, 113, 11078, 6094, 3276, 117, 1103, 2364, 1331, 1104, 1338, 21467, 117, 1105, 171, 16470, 7807, 117, 1103, 2364, 1331, 1104, 1103, 1564, 2466, 1805, 114, 1105, 1160, 3738, 1877, 113, 182, 8607, 18445, 1105, 171, 9823, 3818, 114, 1104, 1338, 21467, 119, 1103, 4131, 1104, 1103, 3953, 3911, 1132, 2871, 2243, 118, 1705, 1470, 1137, 2029, 4291, 3239, 1137, 19150, 119, 5198, 2725, 1107, 1103, 3953, 1877, 1132, 15965, 4099, 1487, 1105, 4768, 1107, 5511, 1114, 12609, 1137, 25664, 1812, 2469, 119, 1107, 1103, 3738, 1877, 117, 1103, 3738, 6296, 1988, 4844, 1110, 22726, 117, 1114, 1211, 1104, 1103, 4481, 1105, 9464, 12269, 1178, 2258, 2555, 10843, 119, 1112, 170, 1871, 1104, 1103, 5884, 1104, 2335, 1416, 21187, 117, 170, 18200, 4207, 1108, 1628, 1378, 4035, 15447, 6108, 1104, 7408, 6323, 1107, 2725, 1107, 3687, 4060, 10334, 1877, 1104, 1103, 2025, 3911, 119, 7408, 6635, 1127, 6323, 4079, 1206, 1512, 1105, 3731, 1201, 1443, 2331, 11534, 17972, 1137, 1251, 1227, 3621, 25575, 3653, 119, 1155, 124, 117, 4859, 1527, 7408, 6635, 113, 3738, 131, 183, 134, 123, 117, 24370, 117, 1928, 1425, 2588, 119, 124, 128, 119, 128, 1201, 132, 3953, 131, 183, 134, 122, 117, 5391, 1545, 117, 1928, 1425, 2588, 119, 125, 129, 119, 124, 1201, 114, 1107, 1103, 18200, 4207, 1127, 4685, 1194, 1442, 118, 1106, 118, 1442, 17964, 1105, 4022, 1106, 4868, 1107, 1103, 2025, 119, 170, 1703, 1104, 2625, 1475, 8118, 113, 3738, 131, 183, 134, 21786, 117, 1928, 1425, 3383, 119, 126, 129, 119, 124, 1201, 132, 3953, 131, 183, 134, 3236, 1604, 117, 1928, 1425, 3413, 119, 130, 130, 119, 122, 1201, 114, 1261, 1226, 1107, 1142, 2025, 119, 8118, 1127, 2136, 6448, 1869, 1164, 1103, 2025, 14093, 1193, 1105, 1107, 2269, 117, 1105, 4022, 1106, 4739, 170, 5193, 4912, 1120, 1147, 1469, 2704, 119, 8118, 1127, 1455, 1106, 24296, 1121, 5497, 117, 5464, 1137, 9987, 2547, 1120, 1275, 131, 3135, 185, 119, 182, 119, 1103, 3440, 2988, 1106, 5193, 119, 2357, 1105, 20650, 2007, 3702, 11293, 2233, 117, 1112, 1218, 1112, 2233, 1113, 9987, 117, 6272, 8160, 117, 1105, 5735, 1105, 17690, 14741, 1127, 4465, 1118, 2191, 118, 2592, 1606, 1126, 5546, 1362, 2332, 2369, 113, 1150, 114, 2585, 15868, 3136, 1106, 1612, 2707, 5878, 3633, 2304, 24730, 119, 15380, 5684, 1111, 1103, 2025, 1108, 3836, 1121, 1103, 1338, 21467, 1569, 13438, 3914, 117, 1105, 1155, 6635, 2136, 1878, 6189, 9635, 119, 6391, 1535, 1105, 1168, 8118, 1150, 1180, 1136, 1321, 1226, 1107, 6730, 5193, 2452, 1106, 2025, 11309, 1127, 12728, 1121, 1103, 2025, 119, 1126, 6730, 11954, 2304, 24730, 117, 5546, 1121, 1103, 1150, 3152, 1126, 10533, 1161, 2304, 24730, 1108, 1215, 1106, 3251, 1111, 3073, 11708, 1776, 1158, 3621, 25575, 3653, 1134, 1156, 14255, 4487, 24704, 4578, 1566, 6730, 5193, 119, 1714, 118, 1690, 2952, 3246, 1108, 7140, 1606, 170, 3490, 1762, 2603, 113, 177, 1197, 114, 1105, 2230, 15228, 113, 2496, 21656, 19386, 1204, 132, 11019, 12913, 8044, 24928, 11955, 22218, 16658, 117, 11019, 12913, 8044, 117, 190, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 7921, 8600, 1103, 2457, 9815, 1206, 7649, 1193, 7140, 1714, 118, 1690, 2952, 3246, 2308, 24106, 113, 185, 5024, 1162, 114, 1105, 1103, 25158, 9318, 1107, 6323, 1107, 3738, 1105, 3953, 1338, 21467, 119, 1844, 1902, 1105, 4069, 4163, 3051, 1108, 7140, 1107, 3731, 1477, 3738, 1105, 3953, 26812, 1468, 1606, 3490, 1762, 2603, 1105, 2230, 16986, 1166, 128, 6803, 1552, 119, 1103, 25158, 9318, 1108, 3393, 1606, 1103, 1569, 22572, 9016, 4648, 4063, 1972, 1788, 118, 4457, 3252, 5962, 25550, 1182, 9173, 119, 2686, 2149, 7167, 26812, 1468, 1125, 170, 5409, 2211, 185, 5024, 1162, 1190, 3738, 26812, 1468, 113, 3140, 119, 123, 1626, 119, 121, 5016, 119, 4589, 119, 127, 1695, 119, 128, 180, 3361, 120, 4023, 120, 1285, 117, 185, 133, 121, 102 ]
[ 101, 3621, 25575, 3653, 113, 172, 1964, 1181, 114, 1105, 4267, 22377, 2941, 24928, 7880, 12736, 23610, 113, 173, 1179, 114, 1132, 1103, 1558, 4680, 1104, 14471, 1107, 2833, 1114, 2076, 122, 17972, 113, 1492, 114, 117, 1105, 170, 2898, 1404, 1104, 2554, 1121, 3501, 1105, 7300, 2527, 113, 3862, 114, 6253, 1103, 2398, 1206, 172, 1964, 1181, 1105, 1231, 7050, 3053, 1107, 2332, 1105, 3653, 119, 172, 1964, 1181, 1105, 173, 1179, 1138, 1151, 3000, 1106, 1129, 23487, 6006, 1104, 1103, 1269, 10311, 3507, 4807, 1105, 1145, 4056, 1112, 9455, 9261, 2913, 3187, 5320, 113, 129, 117, 130, 114, 119, 1103, 2569, 1143, 27192, 2916, 8952, 2628, 1114, 173, 1179, 1110, 1861, 1106, 1103, 3507, 4184, 7889, 23652, 6360, 1104, 1884, 15789, 1616, 1120, 4679, 2155, 10536, 21556, 113, 129, 114, 119, 1229, 1120, 4679, 2155, 10536, 21556, 12246, 1106, 3118, 4841, 1665, 21472, 7867, 1235, 22777, 1107, 2833, 1114, 2076, 122, 17972, 113, 1275, 114, 117, 25506, 1116, 1114, 2076, 122, 17972, 10541, 3549, 4709, 6730, 3211, 1105, 10558, 17688, 3053, 3402, 1114, 1664, 7168, 16632, 1596, 25506, 1116, 113, 1429, 114, 119, 1780, 1103, 10748, 10311, 1103, 3549, 4709, 6730, 3211, 1132, 9874, 4628, 117, 1195, 1138, 2331, 2602, 1115, 26825, 4789, 1105, 8208, 181, 28054, 22572, 9016, 4648, 4063, 113, 181, 28054, 118, 172, 114, 1127, 2628, 1114, 1822, 4709, 3884, 1104, 7621, 113, 191, 1186, 1477, 3186, 3715, 114, 113, 1429, 114, 119, 8208, 1312, 1394, 118, 1106, 118, 172, 11811, 6105, 2042, 6022, 113, 170, 1665, 1197, 114, 1105, 176, 2858, 4027, 5552, 20497, 21875, 2603, 113, 176, 2087, 1197, 114, 117, 1134, 1132, 1346, 23487, 6006, 1104, 173, 1179, 117, 1132, 1145, 5672, 3037, 1107, 1482, 1105, 25506, 1116, 1114, 2076, 122, 17972, 113, 122, 117, 1367, 114, 119, 2569, 176, 2087, 1197, 1108, 2602, 1106, 1129, 2628, 1114, 2569, 3621, 25575, 14471, 1107, 6323, 113, 1492, 114, 119, 1376, 1110, 1227, 117, 1649, 117, 1164, 1103, 1936, 9815, 1206, 1346, 1231, 7050, 2332, 1105, 6730, 3211, 1107, 25506, 1116, 1114, 2076, 122, 17972, 117, 1105, 2480, 1142, 2398, 1110, 2457, 1104, 26825, 15750, 119, 17472, 117, 1195, 4110, 1106, 11755, 1103, 9815, 1206, 18004, 1104, 1231, 7050, 2332, 1105, 4709, 6730, 3211, 1107, 25506, 1116, 1114, 2076, 122, 17972, 119, 1195, 177, 1183, 11439, 16090, 2200, 1115, 3621, 2660, 16091, 13505, 7637, 1616, 12691, 1156, 1129, 2626, 2628, 1114, 170, 1665, 1197, 1105, 22127, 1193, 2272, 1106, 3555, 176, 2087, 1197, 113, 174, 1403, 2087, 1197, 114, 1107, 25506, 1116, 1114, 2076, 122, 17972, 119, 11030, 7340, 1348, 25506, 1116, 1206, 1103, 6776, 1104, 1367, 1105, 1627, 1201, 1127, 8443, 1111, 170, 2025, 1104, 17972, 1105, 26825, 4789, 1107, 3298, 1121, 2076, 122, 17972, 20562, 1120, 1103, 2927, 18228, 5358, 9356, 2057, 1111, 17972, 1114, 15448, 119, 1654, 5174, 1127, 8443, 1121, 15448, 1113, 1103, 2755, 1104, 2942, 9359, 1126, 9022, 27578, 2657, 3314, 117, 1105, 1107, 1322, 13335, 8643, 117, 25506, 5182, 117, 1105, 185, 24795, 20562, 1120, 1482, 188, 2704, 2942, 9359, 119, 9229, 118, 2551, 25506, 1116, 1114, 2076, 122, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 7168, 16632, 1596, 24928, 7880, 12736, 23610, 1105, 3621, 25575, 3653, 1132, 5473, 2272, 1107, 6323, 1114, 2076, 122, 17972, 117, 1870, 1376, 1110, 1227, 1164, 1142, 2398, 1107, 25506, 1116, 2988, 1106, 1103, 15415, 1104, 11552, 1895, 7300, 3653, 119, 1195, 177, 1183, 11439, 16090, 2200, 1115, 3621, 2660, 16091, 13505, 7637, 1616, 12691, 1156, 1129, 2626, 2628, 1114, 1312, 1394, 118, 1106, 118, 172, 11811, 6105, 2042, 6022, 113, 170, 1665, 1197, 114, 1105, 22127, 1193, 2272, 1106, 3555, 176, 2858, 4027, 5552, 20497, 21875, 2603, 113, 174, 1403, 2087, 1197, 114, 1107, 25506, 1116, 1114, 2076, 122, 17972, 119, 1844, 1902, 1105, 4069, 5053, 1775, 2340, 118, 2551, 25506, 1116, 1114, 2076, 122, 17972, 1105, 1492, 1664, 7168, 16632, 1596, 1654, 5174, 102 ]
[ 101, 6188, 2441, 1132, 2620, 1106, 3118, 1103, 1436, 3442, 1104, 14377, 3245, 6719, 1111, 1242, 1201, 1106, 1435, 1105, 3254, 18505, 1106, 3702, 8944, 15049, 117, 1110, 12355, 3186, 2527, 1105, 4272, 8364, 20370, 1132, 9803, 1106, 1505, 1251, 1558, 1648, 1107, 1103, 3288, 4449, 1104, 1103, 12104, 14701, 113, 1768, 3084, 2393, 1475, 114, 119, 3992, 1170, 1103, 6004, 1104, 1103, 193, 118, 7586, 1107, 5639, 117, 1103, 1148, 193, 118, 11611, 1127, 2376, 1111, 2657, 4998, 1118, 192, 2723, 18809, 1306, 187, 9921, 4915, 119, 1219, 1103, 4397, 1115, 1723, 117, 193, 118, 11611, 1127, 2871, 1215, 1111, 11552, 1158, 22869, 1116, 1105, 2880, 3470, 1105, 6044, 1111, 1103, 10540, 1104, 1672, 1168, 8131, 117, 1216, 1112, 12104, 24716, 2489, 119, 2324, 125, 110, 1275, 110, 1104, 5241, 2853, 7508, 1132, 1496, 1106, 12104, 24716, 2489, 117, 1543, 1122, 1141, 1104, 1103, 1211, 8181, 11344, 119, 123, 1103, 2043, 2783, 1107, 8685, 1104, 8006, 1105, 1103, 4728, 10122, 1104, 2628, 8131, 3254, 21379, 1116, 13345, 1104, 1103, 2612, 1104, 24716, 2489, 117, 1134, 1336, 7907, 1121, 1297, 118, 8400, 8131, 8753, 5241, 6059, 1106, 10496, 2191, 118, 15816, 4680, 119, 123, 1126, 1346, 1105, 8026, 12645, 1110, 6818, 1107, 2383, 118, 1543, 117, 1105, 14733, 1250, 4455, 2686, 1107, 14924, 22496, 1137, 8088, 3252, 119, 1572, 170, 2025, 1982, 1120, 1103, 2755, 1104, 16946, 1465, 1107, 1103, 1366, 3402, 2233, 1121, 4420, 1114, 12104, 24716, 2489, 1120, 1210, 1472, 1159, 1827, 1166, 170, 1669, 1104, 2588, 1201, 117, 178, 1162, 117, 2388, 117, 1924, 117, 1105, 1384, 119, 126, 1103, 10807, 1104, 4420, 11124, 1114, 12104, 24716, 2489, 1112, 170, 2705, 12522, 1915, 1167, 1137, 1750, 6111, 1166, 1103, 1201, 117, 1217, 125, 110, 1107, 2388, 117, 126, 110, 1107, 1924, 117, 1105, 127, 119, 127, 110, 1107, 1384, 119, 6188, 24716, 2070, 8944, 1108, 1103, 1178, 20346, 14377, 182, 16848, 11796, 1907, 1107, 2388, 1105, 1108, 2802, 1107, 3887, 110, 1104, 1155, 4420, 119, 1107, 1924, 117, 18737, 22909, 1105, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 1125, 1435, 1154, 1329, 1133, 1127, 3742, 2802, 117, 178, 1162, 117, 1107, 1178, 127, 119, 129, 110, 1104, 1155, 4420, 119, 1107, 1384, 117, 1103, 1329, 1104, 18737, 22909, 1105, 172, 1204, 1108, 6506, 1105, 1103, 1329, 1104, 6188, 24716, 2070, 8944, 10558, 4742, 117, 1133, 1108, 1253, 1982, 1107, 170, 5602, 10807, 1104, 4420, 113, 1626, 110, 114, 119, 172, 1204, 1105, 18737, 22909, 1127, 1215, 7691, 1193, 117, 1105, 1719, 1141, 1104, 1292, 5715, 1108, 1982, 1107, 3565, 110, 1104, 1155, 4420, 119, 1292, 2233, 1437, 2569, 1329, 1104, 172, 1204, 1105, 18737, 22909, 1105, 10558, 1329, 1104, 6188, 24716, 2070, 21217, 113, 170, 9711, 1104, 2324, 1141, 1503, 114, 1206, 1924, 1105, 1384, 119, 1107, 1103, 1269, 1159, 1669, 117, 1103, 1903, 1159, 4420, 2097, 1120, 1103, 5241, 2853, 1125, 15495, 1121, 123, 119, 130, 2005, 1107, 1924, 1106, 125, 119, 1744, 2005, 1107, 1384, 119, 4420, 1150, 1125, 18369, 170, 172, 1204, 14884, 2097, 1126, 1903, 1104, 127, 119, 3324, 2005, 1107, 1103, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1317, 2527, 1138, 7160, 1115, 170, 12645, 1359, 9308, 1113, 170, 5351, 188, 2657, 1607, 117, 2952, 8179, 117, 1105, 8087, 5715, 1110, 1136, 10682, 1536, 117, 2693, 1103, 1864, 1115, 1292, 5402, 1132, 6818, 2192, 1104, 1103, 1250, 4455, 1104, 170, 5351, 11124, 1114, 12104, 24716, 2489, 119, 7440, 117, 14377, 1250, 4455, 3816, 1114, 24716, 2070, 8944, 119, 1649, 117, 2567, 2527, 1138, 7160, 1822, 15750, 1105, 10893, 1111, 6188, 24716, 2070, 8944, 1107, 1103, 10540, 1104, 12104, 24716, 2489, 1112, 1218, 1112, 1672, 2747, 8131, 1216, 1112, 1679, 14467, 5894, 191, 1548, 6697, 117, 7125, 1883, 184, 4832, 17993, 117, 16664, 24732, 2880, 1404, 117, 1105, 190, 8127, 21716, 6971, 119, 3254, 18505, 1106, 3702, 8944, 117, 1105, 1107, 2440, 3254, 18505, 1106, 102 ]
[ 101, 122, 119, 1119, 1125, 170, 1607, 1104, 20557, 8001, 8605, 6059, 1275, 1201, 2403, 1120, 1330, 5375, 119, 1103, 5351, 1125, 170, 1476, 3975, 1406, 3975, 185, 1883, 15901, 3367, 1388, 1107, 1103, 3073, 3202, 1665, 4412, 1298, 1114, 7070, 1206, 1241, 18311, 26502, 1665, 4001, 4267, 20080, 24001, 1103, 1231, 5822, 1818, 1105, 28083, 119, 1122, 1108, 2423, 4252, 14636, 1181, 1114, 170, 3507, 4807, 2592, 1104, 1139, 19773, 10913, 7903, 119, 1107, 2952, 8179, 117, 1119, 1125, 177, 24312, 11048, 15342, 1548, 117, 3602, 1526, 6791, 117, 1105, 2070, 7810, 1193, 1884, 3740, 4571, 3528, 4777, 1104, 1103, 6476, 20497, 1403, 119, 1103, 5351, 2756, 1114, 20557, 171, 1513, 20695, 12736, 26156, 1114, 23137, 2241, 17373, 1103, 5351, 1125, 1884, 3740, 4571, 3528, 4777, 1104, 1103, 6476, 1105, 1526, 6791, 1117, 1436, 118, 13808, 5173, 170, 10182, 1785, 1108, 128, 120, 1275, 1107, 1103, 1268, 2552, 113, 1231, 114, 1105, 126, 120, 1275, 1107, 1103, 1286, 2552, 113, 5837, 114, 119, 10012, 2251, 1104, 1103, 3105, 14753, 1116, 1104, 1231, 1105, 5837, 1108, 3993, 2608, 1105, 3746, 2608, 117, 3569, 119, 7391, 20497, 3954, 3313, 16291, 1127, 127, 2608, 1105, 125, 2608, 1114, 7464, 118, 27820, 12424, 1104, 121, 119, 126, 2608, 1105, 121, 119, 126, 2608, 117, 3569, 119, 7391, 2552, 17299, 14255, 18834, 1104, 1103, 1231, 2799, 1126, 22127, 191, 3571, 1111, 1103, 1231, 1105, 170, 5307, 7660, 1111, 1103, 5837, 119, 1103, 17710, 1127, 22593, 27643, 1105, 3253, 1518, 1906, 119, 1106, 5663, 1292, 7300, 9505, 117, 170, 6059, 1134, 14215, 7391, 27629, 24129, 1233, 1603, 4777, 4977, 1114, 10012, 2006, 2552, 17299, 22432, 1231, 25461, 1105, 3058, 8605, 1275, 17713, 120, 121, 119, 1512, 182, 1233, 189, 3464, 1306, 16430, 12805, 1673, 20839, 10237, 1108, 21881, 1154, 1296, 28117, 20488, 23810, 1348, 2000, 1106, 9711, 1103, 15830, 1104, 1103, 27629, 1733, 1361, 119, 10012, 22432, 1231, 25461, 1134, 1110, 1136, 170, 1226, 1104, 9285, 185, 26156, 6059, 1108, 1982, 1107, 1142, 2805, 1114, 1103, 6457, 1104, 2999, 4404, 1103, 5119, 10012, 2251, 1104, 1103, 14753, 1116, 119, 3507, 7542, 10540, 3090, 174, 25786, 1200, 7435, 177, 24312, 1643, 22992, 117, 5199, 22653, 2607, 1107, 4841, 8043, 18494, 7435, 1634, 117, 177, 24312, 1643, 20519, 14516, 2822, 2093, 2285, 26310, 117, 1105, 1884, 3848, 4915, 7918, 4167, 4993, 14529, 20497, 1403, 119, 10442, 1104, 1296, 2552, 17299, 1108, 3890, 1118, 7391, 27629, 15955, 5822, 18574, 117, 10012, 1554, 15830, 14753, 1231, 25461, 117, 1105, 28117, 20488, 23810, 1348, 188, 25710, 2386, 14546, 119, 185, 26156, 1108, 14758, 1114, 22818, 1162, 14628, 22172, 1548, 8605, 117, 1105, 1231, 25461, 1104, 12177, 2241, 1108, 1982, 1112, 1107, 171, 1513, 20695, 12736, 19268, 1183, 2241, 25128, 12685, 4000, 3528, 4777, 1104, 1103, 4167, 15394, 1114, 2569, 1884, 3848, 4915, 3438, 1105, 181, 25698, 13335, 23894, 1107, 8702, 21875, 113, 177, 1105, 174, 117, 1275, 114, 1103, 2112, 19807, 5838, 1736, 1108, 19616, 1204, 2365, 1105, 5351, 10241, 1110, 1363, 1439, 1103, 122, 1214, 1104, 2812, 118, 1146, 20497, 1403, 119, 1122, 1110, 6858, 1118, 2241, 3528, 4777, 117, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 170, 3882, 118, 1214, 118, 1385, 2581, 5351, 2756, 1106, 1412, 2704, 1114, 170, 1607, 1104, 3718, 177, 24312, 8005, 21990, 184, 13894, 19243, 21850, 23610, 113, 16358, 1161, 114, 2628, 1114, 1126, 24716, 15242, 1643, 22992, 1105, 171, 1513, 20695, 12736, 26156, 119, 1119, 1125, 3602, 1526, 6791, 117, 177, 24312, 3031, 23632, 11776, 117, 1105, 177, 24312, 11048, 15342, 1548, 119, 1119, 1145, 1125, 170, 2793, 1607, 1104, 4154, 24716, 6059, 1114, 170, 3507, 4807, 2592, 1104, 1139, 19773, 10913, 7903, 119, 9285, 1892, 1250, 1108, 8362, 16996, 23822, 1895, 119, 3105, 2552, 17299, 10442, 1114, 171, 1513, 20695, 12736, 19268, 1183, 117, 3105, 2552, 17299, 22432, 1231, 25461, 117, 1105, 8001, 8605, 1108, 1982, 1106, 4134, 1117, 2552, 17299, 5365, 119, 1118, 1142, 102 ]
[ 101, 172, 24974, 7878, 4413, 16722, 170, 2043, 2783, 1104, 5426, 5136, 1107, 12448, 117, 21387, 117, 5950, 117, 1105, 188, 2083, 9203, 24856, 5686, 9546, 2344, 1107, 9468, 14226, 25982, 3633, 119, 1292, 4413, 1138, 17136, 17382, 1116, 1111, 1317, 4397, 1136, 1178, 1272, 1104, 1147, 3527, 5297, 22587, 1133, 1145, 1272, 1104, 1103, 3209, 1106, 5287, 1766, 1147, 3527, 2952, 4625, 1194, 9138, 1107, 9546, 2060, 117, 3571, 117, 1105, 8626, 25230, 119, 172, 24974, 9468, 14226, 23055, 10374, 2766, 3665, 1104, 14255, 9380, 10901, 6302, 27555, 1116, 1132, 2108, 19601, 1272, 1152, 8245, 170, 1139, 20144, 1104, 5426, 4828, 4625, 119, 1107, 2440, 117, 1272, 172, 1183, 1665, 13200, 4626, 27801, 3382, 11936, 9468, 14226, 23055, 10374, 1132, 2766, 1104, 170, 16341, 27555, 1116, 1114, 17172, 1193, 7779, 185, 16488, 1116, 117, 1292, 3881, 1169, 1619, 5093, 2965, 11837, 1113, 1103, 3687, 13335, 10584, 5305, 191, 7531, 3633, 1105, 5880, 1988, 16488, 1116, 1373, 1103, 25776, 4129, 119, 1112, 170, 1871, 117, 172, 1183, 1665, 13200, 4626, 27801, 3382, 11936, 1116, 1105, 1168, 1218, 118, 2802, 23639, 2180, 3457, 2897, 1336, 1525, 4683, 1112, 9239, 3881, 1107, 9546, 11216, 117, 7878, 1768, 118, 2629, 14715, 1776, 3864, 113, 1104, 6248, 114, 117, 1105, 1664, 24984, 11769, 7376, 113, 183, 8867, 114, 1496, 1106, 1147, 3527, 11769, 2430, 11194, 5822, 26003, 4625, 119, 1107, 1704, 117, 1103, 2912, 1106, 1654, 1105, 2437, 1103, 4828, 2593, 1104, 7878, 9468, 14226, 23055, 10374, 1120, 1103, 9546, 1634, 1156, 1138, 170, 15194, 3772, 1107, 9468, 14226, 20532, 11769, 2430, 11194, 5822, 26003, 7951, 119, 6302, 9468, 13523, 5018, 1415, 1536, 1106, 4035, 25265, 24661, 2193, 1554, 9014, 3965, 1127, 1148, 26662, 1118, 24181, 20963, 1162, 3084, 2393, 119, 1105, 1132, 2766, 1104, 170, 14255, 9380, 10901, 6302, 15427, 1107, 170, 5307, 5614, 118, 4283, 2401, 119, 1242, 1104, 1103, 9468, 13523, 5018, 26662, 1118, 1103, 24181, 20963, 1162, 1372, 1132, 2140, 1226, 1104, 170, 2610, 1266, 1104, 10799, 1227, 1112, 185, 10436, 22948, 2093, 2340, 11936, 23639, 2180, 19964, 1116, 113, 185, 18450, 114, 117, 1134, 1132, 2766, 1104, 16307, 185, 10436, 7777, 1105, 3084, 7889, 3382, 1233, 27555, 1116, 14516, 21967, 1193, 23781, 1106, 1532, 170, 1423, 3170, 119, 1103, 185, 10436, 7777, 27555, 1116, 1107, 185, 18450, 1132, 1932, 5128, 1107, 1103, 27154, 1137, 18311, 3638, 1105, 1169, 1129, 2766, 1104, 1300, 1106, 2551, 185, 10436, 12415, 23063, 15644, 3382, 11936, 2338, 119, 1107, 170, 1304, 2793, 4909, 117, 179, 12788, 1182, 3084, 2393, 119, 26662, 1105, 6858, 170, 1383, 1104, 118, 117, 118, 117, 1105, 118, 172, 1183, 1665, 13200, 4626, 27801, 3382, 11936, 1116, 2766, 9308, 1104, 185, 10436, 7777, 8374, 14516, 21967, 1193, 3387, 1106, 1532, 170, 1423, 9468, 2728, 5114, 4184, 113, 2482, 122, 114, 119, 1147, 11362, 1108, 2108, 22076, 1272, 172, 1183, 1665, 13200, 4626, 27801, 3382, 11936, 1116, 1532, 1103, 8148, 1126, 14787, 5815, 9038, 1104, 1981, 22908, 6302, 9468, 12512, 15209, 1116, 1105, 1336, 2867, 1112, 27821, 1116, 1755, 1103, 12478, 11362, 1104, 6302, 9468, 12512, 15209, 1116, 1114, 2747, 22572, 5132, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 4828, 2401, 1105, 2060, 118, 188, 7867, 1158, 1104, 11769, 2430, 11194, 5822, 26003, 4625, 1107, 172, 1183, 1665, 13200, 4626, 27801, 3382, 11936, 6302, 9468, 13523, 5018, 1132, 10788, 1606, 1159, 118, 7449, 3476, 8458, 2749, 113, 189, 13976, 4964, 114, 119, 1103, 189, 13976, 4964, 17891, 1113, 1292, 9546, 9468, 14226, 23055, 10374, 5057, 1115, 1103, 6905, 4252, 24214, 2308, 12283, 3316, 2610, 1112, 1103, 6302, 9468, 13523, 1158, 2060, 1110, 2569, 117, 1107, 14255, 4487, 15906, 1114, 4701, 9539, 24478, 3154, 119, 1107, 1546, 1106, 2437, 1147, 5283, 4828, 4625, 117, 178, 1982, 1126, 4154, 4449, 1104, 4252, 6617, 1633, 1596, 3154, 1118, 23389, 11267, 118, 4569, 6468, 3476, 24350, 1105, 4252, 6617, 1633, 7861, 21963, 1112, 170, 3053, 1104, 2060, 1107, 102 ]
[ 101, 184, 13894, 4184, 14824, 4863, 1110, 3393, 1112, 170, 23400, 8936, 6858, 1118, 2445, 1104, 6028, 3367, 117, 10558, 6028, 3220, 117, 1105, 2569, 3187, 1104, 6028, 22869, 119, 122, 1103, 3653, 25541, 1114, 1425, 117, 2108, 1107, 2112, 2354, 4184, 25134, 1348, 1535, 119, 123, 179, 26519, 1179, 1110, 1141, 1104, 1103, 1211, 5223, 14195, 9306, 4529, 119, 2452, 1106, 1103, 1569, 8918, 1104, 1416, 1105, 1934, 2699, 1844, 113, 1106, 3781, 1186, 117, 179, 26519, 1179, 114, 117, 179, 26519, 13309, 2833, 1166, 2625, 1201, 1104, 1425, 12500, 1695, 119, 121, 110, 1104, 1103, 1416, 1107, 1333, 1105, 1512, 119, 122, 110, 1106, 1512, 119, 123, 110, 1112, 1104, 1381, 117, 2764, 1115, 1167, 1190, 1141, 1107, 1300, 1234, 1107, 179, 26519, 1179, 1132, 9808, 119, 2452, 1106, 1416, 118, 1359, 174, 25786, 5521, 19840, 8032, 1596, 2527, 117, 1103, 3555, 1295, 1104, 1234, 1114, 184, 13894, 4184, 14824, 4863, 1107, 179, 26519, 1179, 1110, 1492, 1550, 117, 1621, 1134, 7029, 117, 1288, 8813, 1121, 5110, 22869, 1116, 1451, 1214, 132, 1406, 117, 1288, 1104, 1292, 2833, 2939, 1105, 2539, 117, 1288, 2541, 8458, 6246, 119, 1103, 22760, 2603, 1104, 1396, 22460, 6766, 1233, 22869, 1116, 1107, 179, 26519, 1179, 1110, 7005, 12763, 1114, 1137, 2299, 1190, 1107, 11019, 23315, 11890, 6623, 117, 1105, 1110, 2324, 1476, 110, 1107, 1535, 1107, 1147, 3102, 188, 1105, 1969, 110, 1107, 1343, 1107, 1147, 2908, 188, 119, 124, 170, 2025, 1104, 1103, 22760, 1104, 1396, 22460, 6766, 1233, 22869, 1116, 1107, 16358, 2118, 180, 4553, 117, 24438, 11922, 5709, 117, 1107, 3842, 18766, 1161, 117, 1105, 179, 26519, 1179, 3090, 1115, 1103, 22760, 1104, 1396, 22460, 6766, 1233, 22869, 1116, 1107, 1241, 1441, 1105, 1535, 1108, 2439, 1107, 179, 26519, 1179, 1111, 1103, 3247, 113, 2625, 1559, 1527, 1201, 114, 1105, 2214, 113, 3453, 1201, 114, 1425, 2114, 113, 3164, 119, 127, 110, 1105, 3413, 119, 127, 110, 1111, 1441, 117, 1407, 119, 129, 110, 1105, 1743, 119, 128, 110, 1111, 1535, 117, 3569, 114, 119, 125, 16516, 20080, 15342, 21250, 5430, 1132, 1227, 1106, 2773, 6028, 10956, 3476, 1118, 1107, 23034, 1158, 184, 13894, 13335, 19268, 118, 22060, 6028, 1231, 21484, 18225, 1105, 8267, 4851, 1103, 3187, 1104, 22869, 1116, 119, 126, 1317, 22661, 1116, 4051, 16516, 20080, 15342, 21250, 5430, 1138, 1151, 3666, 1106, 1103, 2635, 1104, 184, 13894, 4184, 14824, 4863, 119, 23280, 3276, 15789, 1566, 15059, 177, 19429, 5498, 113, 23280, 3276, 15789, 1566, 114, 1110, 170, 16516, 20080, 15342, 21250, 2193, 1115, 18106, 1193, 1107, 23034, 1116, 6028, 1231, 21484, 18225, 1105, 1110, 1215, 1111, 1103, 3252, 1104, 184, 13894, 4184, 14824, 4863, 119, 23280, 3276, 15789, 1566, 6570, 170, 8505, 7234, 1107, 1103, 3001, 1104, 25128, 16710, 18004, 1104, 6028, 1231, 3702, 6738, 1158, 117, 3610, 1172, 1106, 1103, 3073, 2354, 4184, 25134, 1348, 2079, 119, 127, 117, 128, 1122, 1145, 6986, 6028, 10956, 3476, 1545, 11964, 1105, 19377, 1103, 3187, 1104, 184, 13894, 4184, 14824, 2941, 22869, 1107, 2112, 2354, 4184, 25134, 1348, 1535, 119, 5615, 1477, 1263, 118, 1858, 9108, 2527, 1138, 2602, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 184, 13894, 4184, 14824, 4863, 1110, 170, 23400, 8936, 6858, 1118, 2445, 1104, 6028, 3367, 117, 10558, 6028, 3220, 117, 1105, 1126, 2569, 3187, 1104, 6028, 22869, 119, 1103, 3653, 25541, 1114, 1425, 117, 2108, 1107, 2112, 2354, 4184, 25134, 1348, 1535, 119, 179, 26519, 1179, 1110, 1141, 1104, 1103, 1211, 5223, 14195, 9306, 4529, 119, 179, 26519, 13309, 2833, 1166, 2625, 1201, 1104, 1425, 12810, 1695, 119, 121, 110, 1104, 1103, 1416, 1107, 1333, 1105, 1512, 119, 122, 110, 1106, 1512, 119, 123, 110, 1112, 1104, 1381, 119, 1103, 3555, 1295, 1104, 1234, 1114, 184, 13894, 4184, 14824, 4863, 1107, 179, 26519, 1179, 1110, 1971, 1492, 1550, 119, 16516, 20080, 15342, 21250, 5430, 2773, 6028, 10956, 3476, 1118, 1107, 23034, 1158, 184, 13894, 13335, 19268, 102 ]
[ 101, 2747, 16700, 19019, 1116, 1496, 1106, 1672, 27115, 117, 3575, 3290, 117, 12844, 7751, 117, 1137, 9189, 6600, 1336, 4959, 2299, 3001, 1104, 24928, 11955, 2528, 22152, 3946, 9111, 173, 6834, 26420, 1115, 3417, 4467, 1107, 1482, 1114, 2209, 118, 16312, 1105, 177, 24312, 11179, 6366, 8936, 113, 8050, 1324, 1181, 114, 119, 1492, 1141, 1104, 1103, 1211, 1696, 2112, 24226, 1348, 16700, 16312, 1116, 1134, 1336, 1138, 1672, 3084, 19840, 20946, 4680, 1107, 2087, 19224, 16368, 2299, 5968, 1105, 12176, 4226, 1110, 1103, 1679, 19031, 1104, 1317, 12130, 27820, 1279, 1115, 4365, 1107, 1199, 24928, 11955, 12685, 27018, 11048, 11759, 117, 1216, 1112, 1103, 21852, 11371, 1596, 2455, 27820, 113, 188, 1204, 1179, 1197, 114, 1105, 1112, 17162, 13689, 11371, 1596, 2455, 27820, 113, 1120, 1179, 1197, 114, 119, 3993, 1292, 9505, 1132, 1107, 3311, 1114, 3501, 24928, 11955, 7810, 8550, 2751, 1118, 8363, 8495, 5018, 24498, 2142, 117, 1150, 3000, 1115, 2218, 4226, 1872, 1224, 1219, 1103, 2135, 27364, 1104, 1103, 2129, 5604, 1449, 113, 172, 2316, 114, 6613, 1106, 4971, 2214, 3200, 119, 128, 1780, 8363, 8495, 5018, 24498, 2142, 2871, 3378, 1113, 174, 24898, 12685, 1107, 1117, 1759, 117, 1119, 1224, 2751, 2218, 3501, 16700, 2995, 7645, 172, 2316, 1718, 1115, 1127, 6858, 1118, 20844, 5970, 10340, 4571, 2135, 27054, 2941, 5251, 119, 129, 1165, 1103, 2299, 5251, 1104, 172, 2316, 1718, 1132, 1136, 4358, 3890, 1137, 1132, 4938, 117, 2211, 18250, 4226, 1336, 1129, 4267, 10606, 23034, 1174, 1105, 1147, 1836, 1121, 1654, 1336, 1730, 1106, 1103, 173, 6834, 1874, 13830, 6840, 1104, 1224, 118, 1872, 25031, 4226, 119, 128, 1107, 6708, 117, 1292, 9505, 5340, 1114, 2233, 7713, 177, 1183, 5674, 11949, 17839, 1107, 8050, 1324, 1181, 117, 130, 117, 1275, 1134, 5401, 1115, 2209, 1348, 1105, 3275, 173, 6834, 26420, 1116, 2272, 1106, 3549, 14915, 1107, 1103, 1268, 15543, 22172, 21284, 117, 16557, 172, 1158, 9732, 21284, 117, 15491, 3113, 5968, 1298, 117, 1105, 1168, 4001, 1132, 5128, 1106, 27558, 1183, 16312, 1116, 119, 124, 2452, 1106, 1954, 9505, 1105, 1103, 1436, 1104, 1412, 3044, 117, 1175, 1132, 1374, 2103, 9505, 1104, 1679, 22398, 1158, 27820, 1279, 1107, 173, 6834, 21729, 1465, 14541, 117, 1367, 1105, 9889, 9505, 8783, 1115, 8050, 1324, 1181, 8006, 1180, 1129, 2272, 1106, 1679, 19031, 1104, 1103, 12130, 27820, 1279, 1107, 1224, 16700, 5251, 1190, 1110, 4400, 119, 1367, 117, 1492, 1292, 2527, 5996, 1115, 1748, 6448, 1844, 13766, 16700, 2975, 1107, 8050, 1324, 1181, 1110, 13178, 1174, 1105, 1115, 1216, 1844, 1547, 1138, 2418, 8421, 1111, 4287, 8050, 1324, 1181, 117, 173, 6834, 21729, 1465, 117, 1105, 1168, 24928, 11955, 2007, 12559, 4184, 15595, 11759, 119, 11084, 1495, 1211, 2793, 2527, 13766, 1120, 1183, 15328, 1718, 1107, 8050, 1324, 1181, 1138, 8941, 2376, 3287, 117, 1229, 2527, 1104, 2636, 1132, 1304, 4054, 119, 1649, 117, 1103, 2527, 13766, 4297, 1482, 1138, 2602, 2747, 6692, 2871, 6858, 1118, 1103, 2636, 2206, 3575, 22591, 23022, 3402, 1114, 1115, 1104, 3287, 119, 1489, 1120, 1142, 1159, 117, 1112, 1677, 1112, 1195, 1132, 4484, 117, 1175, 1110, 1185, 2103, 2025, 1115, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 1105, 11350, 1874, 8298, 1105, 3009, 9505, 5996, 1115, 1224, 118, 1872, 4226, 1219, 3575, 2135, 27364, 2272, 1106, 2299, 3001, 1104, 12176, 1105, 5968, 9111, 6613, 1106, 4971, 1103, 2214, 117, 1167, 12130, 117, 3200, 117, 1105, 1103, 1679, 19031, 1104, 1103, 2214, 4226, 1336, 1129, 5128, 1106, 2747, 24928, 11955, 12685, 27018, 11048, 11759, 119, 1971, 117, 1175, 1110, 2898, 2554, 1106, 5996, 1115, 1679, 22398, 1158, 12130, 27820, 1279, 1336, 1129, 2272, 1106, 16700, 1105, 24928, 11955, 2007, 27054, 15306, 11759, 119, 9889, 2233, 1145, 5996, 1115, 1679, 22398, 1158, 12130, 27820, 1279, 1336, 1129, 4418, 5128, 1106, 2209, 118, 16312, 1105, 177, 24312, 11179, 6366, 8936, 113, 8050, 1324, 1181, 114, 119, 4069, 1394, 1103, 2025, 2103, 1303, 117, 1195, 7289, 102 ]
[ 101, 1661, 118, 2888, 20673, 113, 6707, 114, 1110, 2888, 1219, 1103, 1736, 1104, 11236, 1297, 1118, 4420, 1150, 1202, 1136, 1138, 170, 1227, 11650, 21344, 119, 2693, 19024, 1116, 1107, 2848, 22400, 3252, 117, 6707, 3430, 1106, 21598, 6975, 182, 1766, 14598, 1785, 1105, 14471, 119, 6707, 1110, 1145, 1103, 3971, 1211, 1887, 20342, 2612, 1104, 1473, 1107, 8894, 119, 122, 2166, 2527, 1138, 2602, 1115, 1103, 14471, 2603, 1104, 20673, 9544, 1121, 122, 110, 1106, 2539, 110, 1105, 1110, 2272, 1106, 1103, 2841, 1104, 1103, 5351, 119, 123, 2527, 1138, 1276, 1115, 1103, 14471, 2603, 1107, 6707, 1149, 27420, 2740, 1110, 1405, 110, 132, 1103, 14471, 2603, 1110, 1367, 110, 1107, 1107, 27420, 2740, 1105, 1969, 110, 1107, 12885, 1920, 4420, 119, 124, 117, 125, 173, 118, 12563, 1200, 113, 173, 1181, 114, 1110, 170, 25158, 9556, 1666, 1219, 1103, 5855, 6639, 11014, 8569, 1104, 20497, 27647, 1179, 1118, 185, 7580, 7937, 119, 173, 1181, 3001, 1138, 1151, 2602, 1106, 2773, 1107, 4420, 1150, 1138, 11759, 1115, 9887, 20497, 27647, 1179, 1707, 1105, 5855, 6639, 11014, 8569, 132, 1292, 11759, 1511, 26600, 9712, 15792, 1182, 113, 185, 1162, 114, 117, 1996, 13585, 24438, 16071, 18071, 1548, 113, 173, 1964, 1204, 114, 117, 4600, 24309, 117, 5837, 16140, 8191, 117, 5199, 16565, 117, 14780, 1137, 170, 2112, 118, 13035, 1352, 117, 4267, 11553, 23713, 1107, 4487, 11509, 11702, 1884, 28026, 6840, 113, 4267, 1665, 114, 117, 10203, 117, 12104, 6625, 117, 4809, 1513, 118, 2765, 1126, 20504, 117, 14255, 7562, 3946, 1762, 4290, 1105, 13306, 16042, 4290, 119, 4650, 1229, 1103, 11842, 1104, 13441, 173, 1181, 3001, 1110, 170, 1218, 118, 1227, 2774, 1111, 1396, 23901, 24438, 16071, 21968, 13685, 2646, 117, 1103, 2398, 1206, 13441, 173, 1181, 1105, 1168, 8131, 1110, 1253, 10527, 119, 170, 2609, 1295, 1104, 2527, 1138, 8600, 1103, 2398, 1206, 6707, 1105, 13441, 173, 1181, 3001, 119, 1199, 1104, 1292, 2527, 5996, 1115, 1126, 2773, 1107, 173, 1181, 1110, 2626, 2272, 1106, 1103, 1107, 4487, 118, 1105, 3908, 118, 26557, 1884, 28026, 6840, 1115, 4365, 1107, 12104, 1105, 13306, 13093, 3290, 1107, 6707, 2740, 119, 130, 1103, 1675, 2025, 10788, 1103, 2398, 1206, 1103, 20997, 1104, 6707, 1105, 23651, 173, 1181, 3001, 117, 1112, 1218, 1112, 1103, 3209, 18741, 1621, 13441, 173, 1181, 3001, 117, 1103, 2070, 7810, 6102, 1104, 1103, 3653, 1105, 2704, 14471, 5600, 119, 1103, 10010, 2273, 1104, 1142, 2025, 1108, 1106, 4959, 2480, 13441, 173, 1181, 3001, 1169, 1129, 1215, 1106, 3689, 5250, 25566, 8830, 1107, 6707, 2740, 119, 1142, 2025, 1310, 1107, 184, 5822, 21367, 1197, 1384, 17936, 1162, 1369, 1120, 1103, 2853, 1104, 2229, 8131, 117, 5449, 1104, 5182, 117, 16040, 26033, 1182, 4980, 1204, 2755, 117, 27466, 11509, 117, 25138, 117, 1105, 1529, 2539, 4776, 6707, 4420, 1105, 1572, 8071, 7451, 119, 1103, 2025, 1108, 4092, 1118, 1103, 13438, 3914, 1104, 1103, 5449, 1104, 5182, 117, 16040, 26033, 1182, 4980, 1204, 2755, 117, 1105, 1155, 6635, 1522, 1147, 6189, 9635, 119, 2833, 1127, 12728, 1121, 1103, 2025, 1272, 1104, 4182, 117, 5837, 16140, 8191, 117, 1227, 1892, 118, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 131, 13441, 173, 118, 12563, 1200, 3001, 1132, 2626, 2272, 1106, 1103, 1107, 4487, 118, 1105, 3908, 118, 26557, 1884, 28026, 6840, 1115, 4365, 1107, 12104, 1105, 13306, 13093, 3290, 1107, 4420, 1114, 1661, 118, 2888, 20673, 113, 6707, 114, 119, 11350, 131, 1142, 2025, 22987, 1103, 2398, 1206, 1103, 20997, 1104, 1661, 118, 2888, 20673, 1105, 173, 118, 12563, 1200, 3001, 119, 1107, 1901, 117, 1103, 2025, 22987, 1103, 18741, 1116, 1621, 1661, 118, 2888, 20673, 117, 1103, 2070, 7810, 6102, 1104, 1103, 3653, 1105, 14471, 119, 4069, 131, 1103, 20673, 20997, 7448, 1108, 1215, 1106, 1705, 6120, 4420, 1154, 1421, 2114, 119, 4420, 1127, 5165, 1120, 1313, 1137, 1107, 1103, 2704, 2452, 1106, 1103, 13112, 1111, 1661, 118, 2888, 20673, 119, 1892, 8025, 102 ]
[ 101, 19560, 4321, 8178, 5674, 21222, 19863, 5658, 16844, 4915, 23105, 113, 171, 6262, 1116, 114, 16722, 170, 1266, 1104, 17664, 4451, 1104, 177, 19694, 16844, 18156, 1137, 174, 26466, 2386, 4404, 170, 2043, 2079, 1104, 177, 19694, 8766, 8868, 1116, 117, 1259, 1103, 19883, 3245, 1899, 15296, 1105, 4801, 1193, 20981, 15804, 1216, 1112, 26181, 10947, 1162, 1105, 189, 10886, 10885, 7745, 15644, 11936, 119, 171, 6262, 17664, 1169, 1129, 15965, 1154, 1300, 3553, 131, 1103, 1210, 118, 6552, 17664, 28043, 1899, 15296, 19863, 5658, 16844, 4915, 23105, 113, 188, 6262, 2155, 114, 117, 185, 10436, 4063, 177, 19694, 16844, 26572, 1116, 113, 185, 9524, 114, 117, 1105, 2393, 6378, 1162, 19863, 5658, 16844, 4915, 23105, 113, 1821, 2155, 114, 117, 1105, 1103, 1300, 118, 6552, 17664, 2393, 6378, 1162, 120, 4597, 1162, 19863, 5658, 16844, 4915, 23105, 119, 1155, 171, 6262, 17664, 4651, 1210, 1887, 5644, 131, 170, 177, 19694, 16844, 26572, 117, 170, 1894, 21977, 25347, 117, 1105, 170, 12638, 4592, 119, 1103, 177, 19694, 16844, 26572, 6552, 1110, 170, 4321, 118, 27555, 12563, 26237, 113, 20640, 1137, 1659, 114, 4592, 9882, 170, 4267, 9992, 1179, 2057, 1107, 1296, 118, 27555, 119, 1103, 1610, 8757, 22948, 1566, 118, 2738, 1181, 4267, 9992, 1179, 2057, 1110, 1103, 25338, 6697, 1111, 184, 1477, 14915, 1105, 4194, 17498, 177, 19694, 16844, 6840, 120, 174, 26466, 6859, 2116, 119, 1122, 1110, 1861, 1106, 1343, 1107, 1103, 187, 1477, 27555, 1104, 23298, 1320, 21977, 26918, 23767, 1894, 21977, 25347, 117, 175, 1200, 7729, 1394, 117, 188, 1566, 14452, 7777, 170, 3457, 1233, 7526, 4592, 130, 3532, 2980, 4084, 2217, 117, 1105, 1103, 14195, 118, 2272, 4592, 172, 10493, 1475, 119, 1103, 1894, 21977, 25347, 6552, 1110, 1126, 9468, 17868, 184, 8745, 8380, 1174, 21977, 25347, 1114, 1126, 164, 175, 1162, 1477, 1116, 1477, 166, 10005, 1107, 1103, 175, 1200, 20792, 16594, 5777, 113, 175, 1181, 114, 1105, 170, 22593, 21704, 1179, 8050, 21462, 1673, 28028, 21977, 26918, 23767, 113, 175, 3556, 114, 1884, 8057, 9363, 1107, 1103, 175, 3556, 5777, 117, 2784, 1111, 1103, 7234, 1104, 1103, 177, 19694, 16844, 26572, 4267, 9992, 1179, 2057, 119, 1103, 1503, 6552, 117, 170, 1884, 8057, 9363, 118, 1750, 12638, 4592, 117, 5509, 9468, 17868, 8160, 1106, 3317, 3855, 119, 170, 2501, 2304, 4423, 1103, 5855, 23672, 6978, 1104, 171, 6262, 17664, 1110, 1293, 6552, 4592, 10393, 5515, 1103, 1159, 1193, 1654, 1104, 11267, 4036, 1106, 1103, 4267, 9992, 1179, 2327, 1751, 117, 4267, 10649, 1183, 4915, 14915, 117, 1105, 177, 19694, 8766, 8868, 17498, 22256, 119, 8468, 21977, 6859, 1916, 6552, 4592, 7861, 3911, 1113, 1103, 177, 19694, 16844, 26572, 1110, 2320, 1112, 170, 4686, 1111, 10937, 1216, 170, 2304, 119, 1126, 1696, 9956, 2502, 1121, 1346, 8626, 13791, 27229, 11041, 1104, 177, 19694, 16844, 26572, 1116, 1121, 1103, 1210, 118, 6552, 1449, 188, 6262, 1186, 1105, 1103, 1300, 118, 6552, 1106, 19224, 1673, 120, 184, 118, 193, 12415, 1673, 19863, 5658, 16844, 4915, 6530, 113, 1106, 3702, 114, 119, 1241, 177, 19694, 16844, 26572, 1116, 4651, 170, 2401, 1104, 172, 1477, 16558, 1114, 170, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 177, 19694, 16844, 6840, 1137, 174, 26466, 6859, 2116, 1104, 177, 19694, 8766, 8868, 1116, 1118, 19560, 4321, 8178, 5674, 21222, 19863, 5658, 16844, 4915, 23105, 113, 171, 6262, 1116, 114, 5315, 1103, 9455, 11044, 1104, 1210, 1137, 1300, 4592, 5644, 119, 1293, 6552, 4592, 10393, 1654, 5855, 17449, 4863, 117, 1649, 117, 1110, 1136, 1218, 4628, 119, 1107, 2440, 117, 1103, 7861, 3911, 1104, 1103, 1894, 21977, 25347, 5644, 1113, 1103, 2473, 1104, 1147, 1884, 21772, 177, 19694, 16844, 26572, 1116, 1105, 1103, 1648, 113, 188, 114, 1115, 1103, 12638, 7865, 1505, 1219, 9455, 3702, 1513, 11702, 11267, 4036, 2020, 1106, 1103, 177, 19694, 16844, 26572, 7234, 1138, 1151, 4035, 25548, 2941, 119, 1303, 1195, 4959, 1103, 1894, 21977, 25347, 7861, 1751, 1113, 1103, 102 ]
[ 101, 170, 3993, 118, 1214, 118, 1385, 1597, 21718, 17294, 1590, 2756, 1120, 170, 2425, 2332, 1920, 2057, 1114, 1286, 3105, 24716, 2489, 117, 1114, 1185, 1168, 2628, 8006, 119, 1421, 1808, 1224, 117, 1131, 2756, 1106, 1103, 6059, 12257, 1272, 1104, 2569, 24716, 2489, 1114, 1185, 2593, 1106, 15683, 132, 1123, 2952, 8179, 2799, 1554, 1757, 1104, 1103, 1286, 3105, 14701, 119, 1123, 9285, 8087, 4449, 1112, 1218, 1112, 2229, 1105, 24716, 193, 118, 11611, 1127, 1136, 9495, 119, 18737, 22909, 1104, 1103, 14701, 2799, 170, 4600, 3367, 1120, 1103, 1286, 177, 1183, 5674, 8401, 3276, 11077, 4757, 1121, 1103, 188, 7136, 1424, 1105, 1198, 2071, 1103, 1286, 23123, 2386, 1465, 7880, 20484, 1306, 119, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 14884, 1104, 1103, 14701, 113, 2482, 122, 114, 2799, 4035, 25265, 24661, 2913, 177, 1183, 5674, 2883, 2217, 3367, 1120, 1103, 1286, 3105, 14701, 1134, 1108, 9455, 13541, 1133, 3817, 4757, 1121, 1286, 11911, 25163, 117, 188, 7136, 1424, 117, 3472, 1105, 1286, 23123, 2386, 1465, 7880, 20484, 1306, 119, 8364, 20370, 14377, 113, 182, 2047, 114, 1104, 1103, 14701, 113, 2482, 123, 114, 3659, 1103, 2450, 1104, 1103, 3367, 1105, 15708, 1106, 1103, 5047, 7631, 1104, 1103, 16557, 24716, 2095, 1133, 4757, 1121, 4422, 24716, 11932, 119, 1103, 3367, 1108, 1110, 2155, 11368, 1348, 7657, 1106, 6130, 1107, 189, 1475, 118, 20167, 4351, 1105, 1119, 25710, 27054, 2285, 177, 24312, 10879, 22615, 4344, 1107, 189, 1477, 20167, 4351, 119, 1107, 2112, 113, 170, 114, 170, 27361, 1664, 118, 9927, 172, 1204, 14884, 1104, 1103, 14701, 4000, 170, 1218, 3393, 177, 1183, 5674, 2883, 2217, 3367, 1120, 1103, 1286, 177, 1183, 1643, 8401, 3276, 11077, 117, 9455, 13541, 1206, 1286, 11911, 25163, 117, 1286, 23123, 2386, 1465, 7880, 20484, 1306, 1105, 3472, 119, 113, 170, 114, 170, 27361, 189, 1475, 2246, 1475, 131, 1126, 13102, 3571, 3367, 1114, 4344, 7657, 5504, 1106, 1103, 6484, 119, 113, 172, 114, 170, 27361, 2112, 5014, 189, 1475, 2246, 1475, 4000, 21976, 5014, 11778, 1880, 1104, 1103, 3367, 119, 1120, 6059, 117, 170, 3016, 117, 7982, 3367, 4547, 4035, 25265, 24661, 2913, 1120, 1103, 1286, 4841, 118, 4267, 25890, 20484, 10734, 1298, 1108, 1276, 4309, 1106, 1103, 3908, 118, 1679, 8383, 25362, 1233, 175, 2225, 6052, 1104, 1103, 16557, 24716, 2095, 119, 1117, 9870, 9779, 4807, 2799, 170, 16516, 20695, 5053, 1665, 14601, 2766, 1104, 6898, 7916, 2765, 1105, 174, 18965, 18809, 2916, 2765, 3050, 117, 1114, 10496, 1126, 11478, 22992, 111, 1107, 2087, 1874, 14855, 26410, 11776, 119, 1103, 1509, 12645, 1108, 1822, 3654, 188, 5730, 3292, 2916, 21718, 19878, 7903, 5336, 1103, 175, 2225, 12562, 170, 5674, 1673, 11955, 4863, 1104, 1103, 16557, 24716, 2095, 119, 188, 5730, 3292, 2916, 21718, 19878, 7903, 113, 188, 1116, 114, 1110, 1126, 14124, 2991, 118, 7918, 12477, 2646, 15454, 14601, 1115, 1110, 1887, 1107, 1103, 4252, 7877, 9084, 1905, 1104, 2243, 118, 4079, 4420, 117, 1601, 1106, 1415, 19365, 2521, 1103, 5656, 1107, 1103, 3618, 21998, 1348, 175, 25637, 119, 1367, 2693, 1157, 1271, 117, 1103, 8241, 1988, 1674, 1136, 3337, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 188, 5730, 3292, 2916, 21718, 19878, 7903, 1110, 170, 12477, 2646, 15454, 1143, 3792, 8992, 7435, 15242, 1643, 7580, 1306, 1134, 3337, 4365, 1107, 1103, 4252, 7877, 9084, 1905, 1104, 6323, 117, 1107, 1601, 3852, 1114, 4091, 21749, 1116, 117, 6613, 1320, 24561, 1116, 117, 171, 7719, 5024, 1105, 175, 2225, 12562, 4413, 119, 1178, 170, 1374, 2740, 1104, 188, 5730, 3292, 2916, 21718, 19878, 7903, 9939, 1107, 1103, 24716, 2095, 1138, 1151, 2103, 119, 170, 1692, 1104, 170, 2425, 188, 5730, 3292, 2916, 21718, 19878, 7903, 19528, 1121, 1103, 16557, 24716, 2095, 175, 2225, 12562, 170, 5674, 1673, 11955, 4863, 1110, 2756, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1202, 2093, 1777, 16056, 1233, 113, 173, 1665, 1775, 114, 1110, 170, 1248, 3964, 27522, 1673, 117, 4408, 1121, 1103, 18040, 1275, 118, 1260, 7954, 2340, 1233, 171, 7409, 12650, 1394, 25550, 1182, 117, 16939, 1121, 1103, 27772, 3186, 1389, 6798, 2246, 2780, 113, 3641, 1361, 171, 7409, 12650, 1161, 114, 119, 173, 1665, 1775, 1144, 1618, 1447, 1177, 21794, 13378, 117, 185, 7111, 1918, 2528, 4314, 9265, 6168, 117, 1105, 2848, 7804, 14840, 3246, 1190, 185, 7409, 12888, 7897, 1883, 119, 1954, 175, 1810, 4092, 173, 1665, 1775, 2982, 117, 1259, 3641, 26950, 1162, 117, 1132, 7588, 189, 7921, 1424, 2908, 120, 27236, 118, 1359, 7995, 117, 1134, 16679, 1132, 2628, 1114, 1672, 2418, 1334, 3154, 119, 177, 24312, 3792, 5053, 3121, 14499, 9535, 117, 1134, 1132, 6547, 1106, 1103, 189, 7921, 1424, 2908, 1107, 1103, 22661, 1116, 117, 1169, 7907, 1121, 3014, 2241, 187, 10733, 1106, 27410, 1126, 25890, 22948, 8745, 1116, 1105, 24928, 22371, 22536, 3073, 4611, 4578, 2116, 1114, 1884, 3740, 10658, 4648, 18093, 119, 1168, 2645, 2628, 1114, 1103, 189, 7921, 1424, 2908, 120, 27236, 118, 1359, 173, 1665, 1775, 22661, 1116, 1511, 1103, 1664, 20080, 10294, 19814, 23168, 1104, 173, 1665, 1775, 1107, 8071, 11932, 117, 1134, 1336, 1730, 1106, 27410, 25954, 1105, 4194, 19959, 26728, 10255, 1104, 7606, 119, 9468, 2728, 17482, 2941, 1513, 118, 1359, 117, 189, 7921, 1424, 2908, 118, 1714, 173, 1665, 1775, 22661, 1116, 1132, 2637, 1106, 1136, 1178, 3644, 189, 7921, 1424, 2908, 118, 2272, 1334, 3154, 1133, 1145, 2773, 1103, 6256, 1104, 173, 1665, 1775, 1107, 24309, 1496, 1106, 1103, 9927, 1679, 3263, 1891, 1105, 23406, 113, 174, 1643, 1197, 114, 2629, 119, 2233, 1121, 1242, 2166, 2527, 10541, 1115, 9468, 2728, 17482, 2941, 2897, 1104, 1620, 10973, 1568, 19137, 1132, 1211, 2265, 1107, 14601, 191, 2225, 21608, 5332, 3908, 11509, 1891, 117, 1780, 1175, 1132, 26805, 1107, 1103, 3783, 119, 1103, 1119, 25710, 27054, 2285, 2731, 1104, 14601, 2076, 117, 2060, 117, 2450, 117, 1105, 27154, 8419, 4863, 1336, 8681, 1106, 1103, 26805, 119, 1107, 1546, 1106, 4607, 1103, 174, 1643, 1197, 118, 2272, 9468, 2728, 17482, 2941, 2897, 3908, 11509, 1891, 117, 9468, 2728, 17482, 2941, 2897, 1431, 1129, 2011, 1106, 172, 3161, 24029, 2039, 1107, 1103, 1892, 117, 1229, 1103, 3850, 1104, 2199, 1110, 5366, 1439, 1103, 9468, 2728, 17482, 2941, 2897, 119, 185, 12606, 22948, 2116, 1110, 170, 5564, 1106, 19566, 1103, 2473, 1104, 9468, 2728, 17482, 2941, 2897, 177, 19694, 27008, 8031, 117, 2456, 12619, 1103, 9468, 2728, 17482, 2941, 2897, 1106, 174, 27923, 1346, 11769, 2142, 2734, 1105, 172, 3161, 24029, 2039, 1107, 1103, 1892, 119, 1113, 1103, 1168, 1289, 117, 1111, 170, 3850, 1106, 1129, 5366, 1439, 1103, 9468, 2728, 17482, 2941, 2897, 117, 170, 2012, 18859, 1206, 1103, 3850, 1105, 1103, 4252, 6617, 15418, 2227, 113, 188, 114, 1215, 1106, 7034, 1103, 9468, 2728, 17482, 2941, 2897, 1110, 2320, 119, 4600, 4764, 2386, 9468, 2728, 17482, 2941, 2897, 113, 188, 21615, 1116, 114, 1138, 1151, 7620, 10788, 1112, 3850, 11837, 119, 13300, 1104, 1216, 9468, 2728, 8766, 10914, 1116, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1202, 2093, 1777, 16056, 1233, 113, 173, 1665, 1775, 114, 1110, 170, 1248, 3964, 27522, 1673, 119, 1122, 1110, 4092, 1118, 1103, 190, 119, 188, 119, 2094, 1105, 3850, 3469, 1111, 1103, 3252, 1104, 1672, 3322, 1104, 4182, 117, 1259, 7209, 117, 1664, 118, 1353, 2765, 13093, 117, 1105, 1246, 1105, 2455, 4182, 1116, 119, 1649, 117, 1334, 3154, 117, 1259, 1343, 2272, 1106, 189, 7921, 1424, 2908, 117, 1126, 4252, 6617, 15418, 2227, 1107, 1954, 173, 1665, 1775, 22661, 1116, 117, 1169, 1129, 5199, 119, 1107, 1103, 1675, 2025, 117, 1195, 1872, 170, 2281, 4600, 4764, 2386, 9468, 2728, 17482, 2941, 1513, 113, 188, 21615, 114, 5239, 1104, 173, 1665, 1775, 119, 13373, 12577, 1776, 1394, 1108, 2700, 1121, 170, 2190, 1104, 1344, 14838, 1553, 102 ]
[ 101, 1103, 22760, 1104, 17972, 1143, 6473, 4814, 113, 173, 1306, 114, 1111, 1155, 1425, 2114, 4529, 1108, 3555, 1106, 1129, 123, 119, 129, 110, 1107, 1214, 1539, 1105, 1122, 1110, 2385, 2330, 1115, 2581, 4420, 1114, 173, 1306, 1132, 124, 1551, 1167, 2620, 1106, 3689, 15685, 4759, 173, 6834, 26420, 113, 5048, 114, 1190, 1343, 1150, 1202, 1136, 1138, 173, 1306, 119, 1107, 188, 7877, 6451, 17395, 12355, 16430, 113, 188, 5745, 114, 118, 10645, 4267, 22377, 2941, 13475, 117, 2456, 117, 1103, 15685, 4759, 1965, 1144, 1151, 2602, 1106, 1129, 5473, 1105, 26767, 118, 7246, 117, 1120, 1655, 1107, 1103, 11631, 2235, 119, 2774, 26622, 24393, 1169, 7936, 177, 1183, 5674, 7528, 14230, 6602, 1105, 17972, 118, 10645, 8228, 4759, 177, 1183, 21370, 11179, 6366, 1106, 19373, 2285, 9071, 23842, 1107, 191, 15435, 1107, 13475, 117, 1373, 1114, 2569, 24928, 22497, 1348, 11437, 11048, 17151, 188, 26588, 6530, 113, 183, 14226, 114, 2838, 119, 26825, 118, 1176, 3213, 5318, 7861, 4592, 118, 124, 113, 178, 1403, 2087, 1830, 1643, 118, 124, 114, 1110, 170, 1420, 1104, 1103, 3213, 5318, 1266, 1105, 1122, 1110, 2412, 2475, 1115, 1103, 2569, 2838, 1104, 178, 1403, 2087, 1830, 1643, 118, 124, 1110, 2628, 1114, 5048, 1107, 4267, 22377, 2941, 13475, 117, 1229, 178, 1403, 2087, 1830, 1643, 2838, 1110, 14336, 1118, 1105, 26767, 1116, 119, 1122, 1110, 1218, 1227, 1115, 1603, 1716, 6709, 187, 1605, 113, 188, 8167, 1605, 114, 1110, 8999, 1112, 170, 2815, 1106, 3747, 5565, 2838, 1118, 1107, 23034, 1158, 182, 11782, 5179, 1105, 120, 1137, 1107, 17484, 1157, 18126, 117, 1259, 1107, 1103, 21504, 119, 1107, 1103, 1954, 2025, 117, 1195, 10788, 2480, 1603, 1716, 6709, 23298, 1320, 21977, 1513, 1596, 5190, 9417, 1116, 15141, 178, 1403, 2087, 1830, 1643, 118, 124, 113, 178, 1403, 2087, 1830, 1643, 118, 124, 188, 8167, 1605, 114, 1169, 1231, 17266, 18575, 10237, 10558, 2774, 26622, 14759, 1107, 188, 5745, 118, 10645, 4267, 22377, 2941, 13475, 119, 1106, 1902, 178, 1403, 2087, 1830, 1643, 118, 124, 188, 8167, 1605, 9417, 117, 1103, 11631, 178, 1403, 2087, 1830, 1643, 118, 124, 5565, 4954, 113, 176, 1182, 131, 182, 22639, 1604, 26303, 114, 1108, 17689, 1111, 170, 3209, 6442, 1605, 4010, 1606, 1103, 5127, 118, 1359, 6442, 1605, 4010, 1525, 1200, 1105, 1902, 6806, 2136, 1113, 1103, 1821, 25959, 1179, 3265, 113, 1821, 25959, 1179, 117, 1107, 1665, 119, 2702, 118, 17345, 6442, 13146, 113, 183, 21977, 26918, 23767, 1700, 131, 5391, 1475, 114, 1127, 14715, 13098, 1107, 191, 2875, 2180, 1606, 1103, 3747, 1197, 6442, 1605, 2058, 11622, 113, 1821, 25959, 1179, 114, 1378, 1103, 7400, 188, 7953, 119, 1103, 27558, 1183, 6442, 1605, 113, 126, 118, 176, 1665, 1403, 5822, 16604, 22118, 19815, 1204, 2571, 5822, 2980, 2571, 118, 124, 117, 183, 21977, 26918, 23767, 1700, 5391, 1475, 114, 1108, 1173, 22121, 1181, 1154, 1103, 185, 1403, 16091, 1545, 120, 176, 2087, 1643, 120, 15242, 185, 7580, 3080, 1181, 9479, 113, 123, 1683, 117, 1821, 25959, 1179, 114, 1112, 170, 1603, 1716, 6709, 173, 1605, 4954, 113, 126, 2305, 15947, 131, 126, 118, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 10681, 6457, 1104, 1142, 2025, 1108, 1106, 4959, 1191, 188, 8167, 1605, 9417, 1116, 15141, 26825, 118, 1176, 3213, 5318, 7861, 4592, 118, 124, 1169, 1231, 17266, 18575, 10237, 10558, 23651, 2774, 26622, 14759, 1107, 188, 7877, 6451, 17395, 12355, 16430, 118, 10645, 4267, 22377, 2941, 13475, 119, 2578, 120, 4069, 17495, 1200, 1367, 2277, 1104, 1107, 4487, 2599, 24472, 2285, 3469, 1104, 178, 1403, 2087, 1830, 1643, 118, 124, 188, 8167, 1605, 117, 1107, 4487, 2599, 24472, 2285, 2997, 11317, 1106, 6538, 23842, 1104, 19373, 2285, 10846, 1127, 17428, 119, 1103, 2838, 1104, 178, 1403, 2087, 1830, 1643, 118, 124, 1120, 182, 11782, 1105, 4592, 3001, 1108, 11168, 1118, 25220, 1842, 118, 1159, 185, 1665, 1197, 3622, 1105, 2466, 171, 7841, 117, 3569, 119, 102 ]
[ 101, 1103, 2582, 2848, 26464, 12844, 11315, 113, 1266, 182, 6533, 8814, 114, 1110, 1126, 6854, 2582, 1887, 1107, 176, 17013, 1811, 5775, 119, 175, 12355, 1137, 180, 4980, 22792, 1424, 1107, 10908, 1179, 1105, 1103, 12001, 8217, 2780, 1107, 4035, 23655, 2737, 119, 2693, 5602, 19024, 1116, 1107, 1103, 3252, 1104, 24928, 11955, 7810, 11759, 1971, 1907, 2848, 8043, 4759, 8956, 5557, 113, 170, 15513, 114, 1138, 1260, 15197, 20563, 16798, 3154, 1113, 1884, 25763, 1105, 9151, 119, 1292, 16798, 3154, 1132, 3337, 1105, 10887, 4379, 1114, 2927, 9208, 4084, 3052, 117, 26181, 6112, 7168, 3171, 18351, 1116, 117, 1105, 1499, 5132, 7213, 164, 125, 117, 126, 166, 119, 1292, 2645, 1132, 1227, 1106, 3073, 2497, 2723, 1167, 1107, 4297, 2182, 1496, 1106, 2960, 1104, 3380, 1111, 4778, 12645, 1105, 3252, 1373, 1114, 9437, 1104, 170, 1174, 23651, 3001, 164, 127, 117, 128, 166, 119, 2379, 2982, 1105, 3546, 1640, 1215, 1107, 2361, 5182, 1169, 1129, 170, 1363, 1282, 1106, 1838, 1107, 1103, 3403, 1111, 15033, 1105, 1167, 3903, 6665, 119, 2567, 3546, 1215, 1111, 1103, 3252, 1104, 174, 24898, 12685, 7440, 1138, 1151, 2602, 1106, 1129, 18106, 1107, 3584, 1104, 174, 24898, 12685, 1105, 1317, 1216, 3546, 3118, 1106, 1129, 3812, 2716, 9221, 2913, 119, 5837, 23038, 6620, 5837, 1320, 14022, 117, 3687, 27008, 14553, 10552, 15798, 8928, 117, 1940, 11828, 1161, 23609, 13328, 1161, 117, 1105, 188, 10941, 11114, 3848, 6873, 8914, 24171, 1132, 1133, 170, 1374, 5136, 164, 5615, 1568, 166, 119, 9889, 11954, 1104, 1103, 170, 3530, 2285, 16143, 1104, 2848, 26464, 12844, 11315, 3090, 2418, 2848, 7235, 25247, 3447, 2861, 2629, 1107, 8228, 2340, 11936, 1566, 4487, 6112, 1513, 118, 10645, 20752, 2774, 119, 7544, 117, 1142, 2025, 11053, 1106, 1748, 8664, 1103, 16143, 112, 188, 3209, 1112, 1126, 2848, 7235, 25247, 3447, 2861, 119, 8175, 12001, 1104, 2848, 26464, 12844, 11315, 1108, 25309, 1121, 1103, 18325, 8954, 3314, 117, 180, 10161, 5053, 117, 1105, 16047, 2913, 1120, 1103, 185, 7111, 1918, 2528, 25566, 5821, 2853, 1104, 1103, 5449, 1104, 22759, 117, 18325, 8954, 117, 180, 10161, 5053, 117, 176, 17013, 119, 170, 191, 6094, 6072, 11678, 113, 18325, 8954, 120, 177, 1306, 1475, 120, 5187, 1475, 120, 188, 7629, 1559, 114, 9490, 8175, 12001, 1108, 6159, 1174, 1154, 10794, 1606, 170, 2595, 5207, 2692, 119, 1103, 23137, 10794, 113, 3887, 1475, 176, 114, 1108, 16939, 1118, 2504, 23639, 17166, 1114, 4267, 2050, 8683, 1181, 1447, 1112, 27624, 1120, 1395, 4143, 1111, 1421, 1552, 119, 20497, 6066, 5498, 1108, 19645, 118, 9490, 1106, 6268, 170, 10972, 1104, 1695, 119, 1969, 110, 192, 120, 192, 1104, 2848, 26464, 12844, 11315, 170, 3530, 2285, 16143, 113, 170, 5024, 114, 119, 2581, 178, 1665, 1197, 14105, 1105, 188, 20488, 7222, 118, 5358, 21609, 13475, 16584, 1206, 1406, 1105, 1512, 176, 1105, 5356, 1105, 14151, 176, 117, 3569, 117, 1127, 3836, 1121, 1185, 17471, 6768, 8918, 1111, 2657, 1844, 117, 170, 19515, 1611, 117, 176, 17013, 117, 1105, 2023, 1107, 1103, 2853, 1348, 3724, 1402, 119, 3551, 1127, 4441, 1223, 8087, 2975, 1104, 4143, 117, 20641, 117, 1105, 1609, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2848, 26464, 12844, 11315, 113, 182, 6533, 8814, 114, 1108, 17428, 1111, 2848, 7235, 25247, 3447, 2861, 3246, 1107, 8335, 5240, 119, 3724, 3584, 1215, 1511, 12477, 23984, 24266, 2737, 5559, 2774, 113, 1143, 2050, 114, 132, 8228, 2340, 11936, 1566, 4487, 6112, 1513, 118, 10645, 113, 185, 5745, 114, 14255, 25247, 3447, 5266, 132, 185, 1596, 10595, 10649, 1394, 118, 10645, 113, 185, 5822, 114, 14255, 25247, 3447, 5266, 132, 188, 6013, 1732, 20677, 118, 113, 188, 18062, 118, 114, 1105, 125, 118, 13736, 5005, 10132, 2042, 118, 10645, 14255, 25247, 3447, 5266, 119, 2773, 1107, 1523, 7232, 1106, 20752, 1116, 1112, 1218, 1112, 7234, 1107, 9355, 1105, 5625, 1104, 20752, 1116, 4668, 2848, 7235, 25247, 3447, 2861, 3246, 119, 1103, 16143, 1108, 1167, 3903, 102 ]
[ 101, 170, 1405, 118, 1214, 118, 1385, 2581, 117, 1150, 1108, 11534, 1114, 185, 1733, 117, 1108, 4533, 1111, 6949, 1104, 170, 185, 10294, 4814, 4252, 2599, 26465, 1818, 1223, 1704, 1126, 2556, 27300, 119, 1119, 1125, 170, 1607, 1104, 189, 19366, 4638, 15540, 18574, 1120, 3485, 117, 170, 172, 1513, 4964, 185, 5971, 1566, 2805, 1120, 122, 2370, 1104, 1425, 117, 1105, 189, 19366, 4638, 15540, 18574, 8354, 122, 119, 126, 1201, 1224, 119, 2452, 1106, 1103, 12421, 184, 2430, 18480, 18255, 8844, 117, 1175, 1108, 1185, 3507, 7542, 3879, 2589, 2946, 170, 1643, 25362, 119, 1120, 1103, 2952, 8179, 1104, 1117, 1586, 2787, 117, 1103, 2298, 1125, 1103, 4701, 2468, 1104, 185, 1733, 119, 1119, 1145, 1125, 170, 1779, 2280, 26802, 1105, 1103, 4177, 2462, 1206, 1107, 21349, 3864, 1108, 123, 119, 129, 3975, 119, 1117, 8796, 19471, 11745, 1705, 1108, 3654, 124, 117, 1133, 1119, 1125, 1185, 2609, 2455, 2230, 119, 1272, 1117, 2153, 19786, 1114, 170, 9701, 12753, 118, 11769, 2941, 1107, 25098, 1891, 1111, 2945, 1115, 1147, 1488, 1156, 1138, 170, 1662, 1159, 1219, 1103, 7791, 117, 1195, 2919, 1106, 21497, 1126, 2556, 27300, 1114, 21146, 10008, 4063, 1105, 28117, 19557, 3382, 1233, 8401, 2568, 1105, 1173, 1107, 25098, 2193, 1114, 1103, 182, 1665, 14867, 1582, 23639, 1888, 2495, 15023, 12443, 16260, 1105, 170, 8796, 4490, 2165, 1947, 1204, 119, 1195, 1145, 4029, 170, 2495, 15023, 2176, 1348, 7739, 1586, 2787, 113, 181, 1918, 114, 1107, 1692, 1104, 2846, 7739, 22297, 117, 2452, 1106, 1103, 2846, 1586, 2787, 13112, 119, 1921, 117, 1191, 1155, 1104, 1292, 4069, 2604, 117, 1195, 2919, 1106, 5314, 1140, 1272, 1117, 2153, 1458, 1106, 19722, 1103, 6059, 1191, 1103, 1107, 25098, 1891, 2604, 119, 1126, 2556, 27300, 1108, 10645, 1107, 1103, 3389, 1395, 1114, 123, 17713, 120, 4023, 21146, 10008, 4063, 1105, 122, 17713, 120, 4023, 28117, 19557, 3382, 1233, 8401, 2568, 1170, 3073, 10649, 1183, 4915, 1891, 1114, 1620, 110, 7621, 119, 1170, 1554, 14310, 27475, 117, 1103, 182, 1665, 14867, 1582, 23639, 1888, 2495, 15023, 12443, 16260, 1108, 13137, 1154, 1103, 1137, 4184, 7111, 22093, 1105, 1108, 1973, 16530, 1106, 1103, 174, 8508, 1403, 7841, 6620, 1272, 1103, 174, 8508, 1403, 7841, 6620, 26771, 1103, 176, 7841, 6620, 1105, 2136, 170, 1544, 2458, 1104, 1103, 176, 7841, 6620, 113, 1884, 10841, 2158, 118, 5837, 15296, 3654, 123, 114, 119, 1649, 117, 27914, 1104, 1103, 2539, 20423, 8796, 4490, 2165, 1947, 16787, 3084, 1204, 2604, 1272, 1103, 7159, 5580, 1180, 1129, 1562, 16530, 1106, 1103, 170, 1616, 5208, 18093, 2693, 1103, 6298, 2495, 15023, 2176, 1348, 19844, 119, 1103, 7159, 5580, 1680, 1103, 176, 7841, 6620, 117, 1133, 1175, 1108, 5602, 4789, 11120, 1103, 3084, 1204, 1194, 1103, 5563, 13408, 1116, 1256, 1463, 1103, 1947, 1204, 1108, 9512, 119, 1921, 117, 1103, 175, 12316, 1161, 1107, 25098, 3798, 8698, 1197, 1114, 1157, 5580, 5847, 1112, 1277, 1112, 170, 2539, 6341, 117, 1861, 1106, 1103, 182, 1665, 14867, 1582, 23639, 1888, 2495, 15023, 12443, 16260, 117, 1108, 13137, 1194, 1103, 5563, 13408, 1116, 113, 20497, 5700, 119, 122, 1105, 123, 114, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4420, 1114, 16331, 1874, 16763, 9318, 1132, 6858, 1118, 17599, 12149, 14298, 1161, 117, 1231, 8005, 12149, 14298, 1161, 117, 176, 20831, 4184, 26156, 117, 1105, 19192, 184, 4832, 17993, 1105, 1132, 13557, 1106, 1138, 170, 2846, 118, 1106, 118, 1107, 25098, 2193, 1586, 2787, 119, 1103, 182, 1665, 14867, 1582, 23639, 1888, 2495, 15023, 12443, 16260, 2790, 170, 1618, 2458, 1104, 1103, 176, 7841, 6620, 1190, 170, 23639, 10879, 14695, 2495, 15023, 12443, 16260, 117, 1133, 1122, 1110, 1136, 3123, 1106, 22884, 1126, 1322, 3329, 19366, 13836, 1233, 7159, 1194, 1103, 5563, 13408, 1116, 1272, 170, 1888, 2495, 15023, 12443, 16260, 1144, 170, 1277, 3407, 16408, 13461, 5332, 1190, 1115, 1104, 170, 7228, 2904, 2495, 15023, 12443, 16260, 1105, 1126, 1322, 3329, 19366, 13836, 1233, 102 ]
[ 101, 6034, 117, 5199, 22572, 9016, 3457, 2050, 10721, 1336, 1871, 1107, 3908, 11509, 1891, 1104, 16516, 1513, 1194, 187, 4455, 5332, 1104, 187, 21420, 5108, 4969, 118, 1112, 8401, 3101, 11850, 14225, 1137, 182, 21977, 9275, 1233, 23449, 14840, 1891, 3989, 5199, 20497, 12725, 4863, 1105, 3855, 1104, 3431, 1107, 4487, 14535, 1233, 6873, 11806, 1105, 193, 2861, 27892, 4047, 22806, 21943, 2285, 3943, 1227, 1112, 193, 2861, 27892, 4047, 22806, 21943, 2285, 22572, 9016, 3457, 2050, 10721, 113, 193, 1403, 1665, 114, 164, 122, 118, 125, 166, 119, 1780, 1175, 1110, 170, 1227, 3852, 1206, 20003, 1233, 18075, 19541, 4182, 1105, 193, 1403, 1665, 117, 1122, 1110, 1136, 3817, 4628, 119, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 1144, 3055, 1561, 1103, 2284, 2530, 4449, 1104, 3026, 1107, 12104, 14701, 1272, 1122, 1110, 3613, 117, 1664, 1394, 25007, 117, 1105, 2790, 170, 6448, 4520, 1104, 1103, 14701, 119, 1748, 4982, 117, 1103, 4784, 1104, 4321, 1116, 11815, 172, 1204, 1144, 2569, 1103, 20346, 10893, 1104, 1107, 4487, 118, 24716, 2975, 119, 1649, 117, 172, 1204, 1336, 1145, 11552, 4497, 1348, 3826, 2975, 8753, 14844, 2209, 1216, 1112, 24716, 170, 12148, 1596, 1126, 8816, 6834, 1306, 113, 170, 22118, 114, 119, 1195, 1303, 1394, 1675, 170, 4054, 1692, 1104, 170, 5351, 1150, 2756, 1114, 5300, 1104, 12104, 22572, 9016, 3457, 2050, 10721, 1105, 20003, 1233, 18075, 19541, 9712, 5005, 14494, 119, 11041, 2799, 2554, 1104, 13306, 22572, 9016, 3457, 2050, 10721, 1105, 1126, 4497, 1348, 1415, 170, 22118, 119, 1120, 6059, 117, 170, 10108, 1353, 6873, 8722, 113, 1136, 1562, 1113, 172, 1204, 114, 1108, 4252, 14636, 1181, 119, 1142, 4054, 1884, 11708, 1776, 7008, 1104, 3507, 20941, 9807, 170, 1748, 11025, 1106, 1103, 2635, 4267, 23397, 1104, 1103, 4321, 26096, 1264, 119, 170, 5899, 118, 1214, 118, 1385, 1590, 2756, 1106, 1103, 5241, 2853, 1114, 170, 126, 118, 1989, 1607, 1104, 27946, 1268, 3105, 186, 18413, 6922, 1105, 174, 8508, 11305, 11048, 2489, 119, 1123, 1763, 2657, 1607, 1529, 177, 24312, 23826, 1988, 117, 1139, 13335, 2881, 2916, 1107, 14794, 5796, 1275, 1201, 2331, 117, 1105, 20557, 5656, 5627, 119, 1113, 8179, 117, 1131, 1125, 27629, 8992, 10542, 1465, 1104, 1620, 11883, 1679, 2517, 1114, 1185, 10880, 119, 24716, 8179, 3090, 170, 8886, 3367, 1107, 1103, 1268, 3105, 186, 18413, 6922, 1114, 170, 23609, 3447, 11745, 1513, 174, 8508, 11305, 11048, 3367, 119, 170, 1554, 1892, 5099, 1105, 23651, 25128, 18533, 2799, 170, 23123, 8032, 2858, 7939, 1634, 1104, 1429, 119, 123, 176, 120, 173, 1233, 117, 5837, 7563, 13335, 25669, 11776, 1104, 1405, 1275, 120, 181, 117, 172, 118, 26844, 4592, 1634, 1104, 16308, 17713, 120, 181, 117, 1105, 2999, 1231, 7050, 1105, 11911, 3053, 5715, 119, 1126, 14844, 172, 1204, 14884, 1104, 1103, 14701, 2799, 2554, 1104, 5199, 22572, 9016, 3457, 2050, 10721, 1114, 170, 4267, 15874, 4902, 117, 3528, 118, 20016, 20003, 1233, 18075, 19541, 117, 6321, 20003, 1233, 18075, 19541, 9712, 5005, 14494, 117, 1105, 1126, 4497, 1348, 128, 118, 3975, 1107, 27476, 23503, 1233, 170, 22118, 113, 20497, 1403, 119, 122, 1161, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1175, 1138, 1151, 3756, 1104, 1103, 1884, 11708, 1776, 7008, 1104, 24716, 170, 12148, 1596, 1126, 8816, 6834, 1306, 113, 170, 22118, 114, 1114, 1107, 4487, 118, 24716, 12477, 2646, 12149, 7232, 1259, 3245, 11048, 117, 1884, 4934, 1596, 117, 13316, 13782, 7698, 117, 1105, 1231, 7050, 119, 1195, 1303, 1394, 2592, 170, 1692, 1104, 170, 2331, 5576, 1465, 25566, 5591, 170, 22118, 1105, 170, 11124, 12522, 8080, 1114, 12104, 22572, 9016, 3457, 2050, 10721, 119, 1378, 22572, 9016, 3457, 13894, 5822, 18574, 117, 1142, 1108, 2382, 1106, 1129, 170, 4054, 1532, 1104, 13306, 22572, 9016, 3457, 2050, 10721, 131, 193, 2861, 27892, 4047, 22806, 21943, 2285, 22572, 9016, 3457, 2050, 10721, 119, 1175, 1110, 170, 1227, 1936, 3852, 1104, 1142, 14124, 3879, 1114, 20003, 1233, 102 ]
[ 101, 24928, 11955, 118, 3621, 2660, 19438, 8234, 1144, 1151, 1227, 1111, 1242, 1201, 119, 122, 114, 123, 114, 1126, 12177, 1836, 1104, 5855, 11252, 5326, 9685, 1116, 117, 1227, 1112, 170, 9887, 1104, 27629, 27952, 6385, 4043, 3621, 2660, 4527, 4184, 23610, 113, 189, 1665, 114, 117, 1110, 1872, 1165, 13493, 5604, 1449, 1110, 177, 24312, 21797, 1107, 6600, 2365, 2975, 1259, 21831, 20752, 119, 21831, 20752, 1144, 1151, 2103, 1112, 170, 2612, 1104, 189, 1665, 7460, 117, 1105, 17688, 13522, 1132, 1141, 1104, 1103, 1514, 4680, 1104, 14471, 1107, 174, 24898, 12685, 119, 124, 114, 125, 114, 16516, 14850, 4907, 5552, 189, 1665, 1110, 2628, 1114, 1167, 23123, 22320, 12881, 1596, 20482, 1190, 6841, 1286, 21828, 4907, 5552, 189, 1665, 119, 3335, 117, 1107, 1115, 1692, 117, 2657, 3252, 1431, 1129, 1167, 19849, 1105, 1103, 1736, 1104, 2704, 2734, 1110, 2039, 119, 126, 114, 1133, 117, 1175, 1144, 1151, 1185, 1692, 2592, 7645, 16516, 14850, 4907, 5552, 189, 1665, 1170, 21831, 20752, 1107, 180, 4474, 1161, 119, 1303, 117, 1195, 2592, 170, 1692, 1104, 170, 5351, 1150, 2756, 1114, 3288, 16278, 10542, 2660, 8944, 4000, 16516, 14850, 4907, 5552, 170, 15328, 15758, 1158, 1170, 2781, 174, 24898, 8956, 1361, 119, 1126, 6032, 118, 1214, 118, 1385, 2130, 2756, 1106, 1412, 5241, 1395, 1114, 123, 3426, 1104, 1275, 2517, 118, 9355, 1104, 22214, 11371, 1596, 118, 172, 4934, 1596, 20752, 1116, 1120, 1313, 1105, 1107, 1103, 13342, 119, 1892, 2997, 113, 171, 1643, 114, 1108, 7690, 120, 1620, 2608, 177, 1403, 117, 8561, 2603, 1108, 8359, 120, 11241, 117, 1231, 21240, 2603, 1108, 1659, 120, 11241, 117, 1105, 1404, 4143, 1108, 3413, 119, 121, 119, 17963, 7621, 2068, 23022, 1108, 5306, 110, 1114, 7621, 4235, 1104, 127, 181, 120, 11241, 2258, 14078, 7739, 119, 1131, 1125, 1126, 174, 24898, 12685, 128, 1201, 2988, 1106, 1142, 2035, 1170, 21831, 23123, 1766, 1197, 19911, 1113, 1286, 14247, 22331, 1348, 1105, 1268, 18107, 25163, 119, 1131, 1108, 1113, 1694, 3186, 5303, 1233, 1275, 17713, 117, 1899, 18873, 27801, 2605, 9216, 1275, 17713, 117, 22572, 27719, 1162, 2393, 14467, 1116, 14840, 2193, 3434, 17713, 117, 20839, 2340, 1233, 181, 118, 1610, 2605, 12569, 2260, 17713, 117, 189, 2047, 2087, 6208, 1348, 3127, 17713, 1272, 1104, 1123, 26557, 26707, 3452, 1465, 119, 1131, 1108, 2457, 1107, 1123, 2619, 1104, 3828, 1690, 1105, 1125, 1309, 10790, 1164, 2229, 2489, 1137, 173, 6834, 1643, 25362, 1196, 1103, 10296, 119, 1165, 1131, 1108, 4120, 117, 1175, 1108, 1330, 126, 118, 2517, 9355, 1104, 22214, 11371, 1596, 118, 172, 4934, 1596, 20752, 1114, 14255, 9380, 4948, 1260, 27444, 1104, 1103, 1257, 1106, 1103, 1268, 119, 2781, 174, 24898, 8956, 1361, 1108, 12830, 1170, 1107, 4487, 7912, 2285, 25338, 26342, 4163, 1306, 125, 17713, 14546, 1105, 185, 10436, 25669, 8136, 1179, 9416, 17713, 1107, 17149, 119, 1133, 171, 1643, 1108, 2434, 1121, 7690, 120, 1620, 2608, 177, 1403, 1106, 3102, 120, 1969, 2608, 177, 1403, 1105, 1123, 8418, 1108, 20606, 119, 2229, 193, 118, 7586, 2799, 3621, 2660, 3263, 6997, 1183, 1105, 10085, 1183, 2569, 11769, 7409, 4233, 1107, 1268, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1195, 5594, 170, 1692, 1104, 27629, 27952, 6385, 4043, 3621, 2660, 4527, 4184, 23610, 1107, 1126, 9808, 1590, 1170, 2781, 174, 24898, 8956, 1361, 119, 1107, 1126, 5241, 16278, 10542, 2660, 8944, 117, 1136, 1178, 1286, 21828, 4907, 5552, 170, 15328, 15758, 1158, 1133, 1145, 1268, 21828, 4907, 5552, 170, 15328, 177, 1183, 5674, 4314, 18766, 1161, 1108, 4379, 119, 1170, 170, 2657, 2635, 117, 1103, 5351, 112, 188, 3879, 1108, 4725, 1105, 170, 2812, 118, 1146, 16278, 10542, 2660, 8944, 2799, 6432, 7593, 1104, 1286, 1105, 1268, 21828, 4907, 5552, 170, 15328, 15758, 1158, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1103, 1514, 4680, 1104, 188, 15624, 1233, 1132, 3682, 1425, 117, 1103, 1329, 1104, 184, 2430, 2430, 8745, 1665, 23897, 117, 4647, 7401, 117, 17676, 117, 1105, 12365, 4060, 13601, 1673, 8131, 119, 1122, 1144, 3055, 1151, 2103, 1115, 1672, 1168, 5320, 1216, 1112, 1266, 1607, 117, 9987, 117, 6272, 8160, 117, 1246, 14780, 117, 8131, 1216, 1112, 17972, 117, 1344, 1892, 2997, 117, 1105, 1199, 1231, 7050, 3507, 20941, 1145, 1730, 1106, 2607, 1107, 4510, 164, 1512, 166, 119, 185, 23415, 3457, 5668, 184, 24022, 9318, 113, 185, 13538, 114, 1110, 170, 1887, 1322, 13335, 8643, 3653, 12759, 1120, 1655, 1275, 110, 1104, 3032, 1104, 17505, 1425, 119, 1122, 1110, 1758, 1118, 177, 24312, 5709, 26767, 1863, 117, 1441, 2050, 5082, 1348, 12692, 1785, 117, 1126, 3292, 6856, 117, 1107, 6732, 20688, 117, 1105, 184, 27655, 119, 1107, 1901, 117, 185, 13538, 1110, 1510, 4977, 1118, 177, 24312, 4935, 19001, 20504, 117, 26825, 4789, 117, 173, 6834, 10913, 3269, 8191, 117, 1105, 1822, 118, 3654, 13306, 24970, 1115, 3073, 10396, 14811, 1106, 1322, 12858, 21091, 1348, 3290, 119, 1145, 117, 1344, 118, 5625, 4510, 1110, 1510, 4634, 10639, 1107, 8131, 1115, 2612, 1322, 12858, 21091, 1348, 3290, 119, 1344, 118, 5625, 113, 21955, 18910, 7629, 177, 1584, 114, 4510, 2445, 1108, 1148, 1758, 1107, 185, 13538, 4420, 1118, 18631, 3822, 1105, 1884, 4616, 10232, 119, 180, 21977, 2149, 3084, 2393, 119, 1145, 3626, 19563, 5625, 113, 4645, 24400, 12882, 7629, 114, 4510, 2445, 1107, 185, 13538, 4420, 119, 1649, 117, 1292, 2527, 1225, 1136, 1511, 1251, 1869, 1164, 1103, 3852, 1206, 4510, 11810, 1116, 1105, 1103, 1227, 11934, 1104, 185, 13538, 1216, 1112, 178, 1197, 117, 181, 1324, 120, 175, 2737, 6022, 117, 20844, 1733, 16065, 6602, 2794, 117, 1105, 1714, 2774, 26622, 7448, 113, 2167, 1182, 114, 119, 1103, 6457, 1104, 1412, 2025, 1108, 1106, 8242, 1103, 3852, 1206, 185, 13538, 1105, 4510, 11810, 1116, 119, 1107, 1901, 117, 1103, 2398, 1621, 26825, 4789, 113, 178, 1197, 114, 117, 181, 1324, 120, 175, 2737, 6022, 117, 20844, 1733, 16065, 6602, 2794, 117, 1105, 2167, 1182, 1114, 4510, 11810, 1116, 1127, 10788, 119, 1142, 19916, 2025, 7945, 2908, 4776, 2740, 1115, 3666, 1106, 1103, 1322, 13335, 16987, 6360, 1105, 176, 10941, 12241, 185, 23415, 1665, 21472, 6063, 1104, 1412, 2704, 1115, 1899, 1103, 10838, 9173, 119, 5808, 2740, 113, 1928, 1425, 117, 1572, 119, 3081, 1545, 119, 3383, 1201, 132, 2079, 19290, 1545, 1201, 114, 1115, 1127, 11534, 1114, 185, 13538, 2766, 1103, 185, 13538, 1372, 119, 12645, 1104, 185, 13538, 1108, 2452, 1106, 24692, 2083, 10775, 13936, 8167, 1162, 120, 1112, 9019, 118, 5988, 185, 13538, 10923, 10819, 1372, 119, 5808, 1425, 1105, 1404, 3367, 7448, 113, 171, 3080, 114, 10260, 2130, 8118, 113, 1928, 1425, 117, 1744, 119, 3383, 1545, 119, 3453, 1201, 132, 2079, 27015, 1201, 114, 2766, 1103, 1654, 1372, 119, 1103, 2025, 1902, 1108, 3659, 1118, 1103, 1469, 13438, 3914, 113, 5684, 1295, 131, 11150, 1545, 119, 1367, 119, 1368, 114, 1105, 6189, 9635, 1108, 3836, 1121, 1155, 1104, 1103, 1535, 1115, 3360, 1107, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 10681, 3007, 1104, 1412, 2025, 1108, 1106, 8242, 1103, 3852, 1206, 185, 23415, 3457, 5668, 184, 24022, 9318, 113, 185, 13538, 114, 1105, 4510, 11810, 1116, 119, 2578, 120, 4069, 11088, 1183, 1535, 11534, 1114, 185, 13538, 113, 1928, 1425, 117, 1572, 119, 3081, 1545, 119, 3383, 1201, 114, 1105, 1969, 8071, 1535, 7451, 113, 1928, 1425, 117, 1744, 119, 3383, 1545, 119, 3453, 1201, 114, 1127, 1529, 1107, 19916, 2025, 119, 1296, 1692, 1108, 7289, 1114, 1822, 113, 4805, 117, 2260, 117, 6087, 117, 1105, 1539, 177, 1584, 114, 117, 1344, 113, 21955, 117, 4372, 1568, 117, 1105, 4645, 1568, 177, 1584, 114, 1105, 2925, 1344, 113, 19563, 114, 113, 7208, 1568, 10973, 7629, 1568, 177, 1584, 114, 5625, 6056, 21027, 119, 1103, 2698, 102 ]
[ 101, 1231, 11681, 1233, 18593, 23639, 27380, 1673, 11366, 6602, 1116, 113, 26084, 1116, 114, 1132, 4054, 117, 2888, 4267, 16236, 6006, 1104, 1103, 1231, 11681, 1233, 1893, 19860, 191, 2225, 21608, 5332, 117, 1932, 1439, 1103, 1148, 1210, 5020, 1104, 1103, 1893, 9866, 21459, 2780, 119, 122, 1103, 21014, 1110, 3555, 1106, 1129, 2324, 122, 1107, 125, 117, 2260, 1234, 1166, 1103, 1425, 1104, 1969, 119, 123, 177, 24312, 23826, 1988, 1105, 2214, 1425, 1730, 1106, 177, 18543, 2042, 1260, 27054, 6108, 1104, 1103, 26557, 2928, 117, 2445, 1104, 12365, 1874, 13830, 13389, 1183, 3586, 1105, 25460, 1231, 27137, 117, 1105, 1893, 19860, 4267, 16236, 1891, 119, 124, 2324, 129, 110, 1512, 110, 1104, 26084, 1116, 1209, 13971, 20061, 1107, 6005, 18404, 119, 1256, 1114, 4841, 1918, 11702, 23123, 1766, 1197, 19911, 117, 1146, 1106, 3413, 110, 1104, 4420, 1209, 1138, 1618, 1190, 1406, 120, 1969, 5173, 170, 10182, 1785, 1443, 3252, 119, 125, 1649, 1141, 1503, 1104, 4420, 1209, 3689, 26557, 19299, 2553, 1105, 1231, 11681, 1233, 5048, 14494, 1105, 1336, 1444, 3252, 119, 126, 1126, 5731, 118, 1214, 118, 1385, 2130, 1114, 170, 1763, 2657, 1607, 1104, 177, 24312, 23826, 1988, 1105, 173, 6834, 10913, 3269, 8191, 1108, 2752, 1111, 22770, 18326, 5173, 170, 10182, 1785, 1107, 1103, 1286, 2552, 119, 1131, 1125, 1185, 1607, 1104, 17972, 119, 1113, 3288, 8179, 117, 4267, 6951, 5841, 1361, 8179, 1105, 23896, 12238, 2093, 1394, 1126, 10712, 8944, 1104, 1103, 1286, 2552, 3090, 170, 7688, 11860, 24729, 4412, 1231, 11681, 1233, 1893, 19860, 23639, 27380, 1673, 11366, 6602, 117, 1114, 3376, 172, 3161, 16430, 2193, 4252, 15798, 3052, 5336, 1103, 175, 18122, 1161, 113, 3736, 122, 1105, 123, 114, 119, 1103, 5351, 1108, 4379, 2786, 117, 1133, 1103, 5048, 14494, 2569, 1105, 1123, 4152, 21959, 1106, 1406, 120, 2539, 119, 1103, 5351, 1108, 4379, 1111, 124, 1808, 117, 1133, 1103, 4152, 4146, 3540, 1254, 1106, 1406, 120, 2539, 117, 1114, 2569, 5048, 14494, 1105, 4252, 15798, 3052, 1113, 10312, 1884, 21634, 1106, 3702, 8944, 119, 1131, 1108, 4379, 1111, 124, 1808, 117, 1133, 1496, 1106, 1231, 21754, 19299, 2553, 117, 1131, 4444, 1460, 170, 1703, 1104, 1565, 14546, 1116, 1104, 1107, 4487, 5086, 7877, 1348, 1129, 2497, 6617, 10337, 1918, 1830, 1451, 122, 2370, 1106, 124, 1808, 119, 170, 22487, 10221, 1120, 170, 3545, 1104, 3434, 182, 2246, 1105, 2363, 182, 3205, 2060, 1108, 3666, 1213, 1103, 26084, 119, 1103, 26084, 184, 19515, 27567, 117, 1105, 1113, 2812, 118, 1146, 8179, 127, 1808, 1224, 117, 1103, 5351, 188, 4152, 1144, 1915, 1120, 1406, 120, 1476, 119, 1103, 1148, 2592, 1104, 10221, 6307, 20535, 13830, 6840, 1106, 7299, 4252, 15798, 3946, 1231, 11681, 1233, 18593, 23639, 27380, 1673, 11366, 6602, 1108, 1502, 1107, 2402, 1118, 173, 1197, 1274, 18728, 3245, 1116, 1105, 8304, 119, 127, 1107, 170, 2025, 1104, 1765, 4420, 1114, 188, 17162, 6451, 7903, 2941, 26084, 117, 1544, 1104, 1103, 4420, 9315, 170, 22487, 10221, 7606, 1105, 1103, 2735, 1544, 1108, 4379, 119, 1103, 4152, 1107, 1241, 2114, 4725, 117, 1133, 1103, 10221, 1372, 4531, 170, 3407, 4361, 119, 128, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1126, 5731, 118, 1214, 118, 1385, 2130, 1114, 170, 1607, 1104, 177, 24312, 23826, 1988, 1105, 173, 6834, 10913, 3269, 8191, 1108, 2752, 1111, 170, 1231, 11681, 1233, 18593, 23639, 27380, 1673, 11366, 6602, 1114, 4252, 15798, 2116, 1115, 1125, 2925, 1154, 1103, 23639, 5886, 119, 1131, 9315, 170, 1703, 1104, 1565, 14546, 1116, 1104, 1129, 2497, 6617, 10337, 1918, 1830, 117, 1114, 1199, 8331, 1107, 5173, 170, 10182, 1785, 1105, 1231, 11681, 1233, 15830, 119, 1496, 1106, 15970, 23639, 5552, 5048, 14494, 117, 17811, 10221, 6307, 20535, 13830, 6840, 1108, 1982, 1213, 1103, 23639, 27380, 1673, 11366, 6602, 119, 1103, 4152, 1915, 1120, 1406, 120, 1476, 1219, 1406, 1808, 1104, 2812, 1146, 119, 1780, 2848, 118, 26557, 1322, 12858, 21091, 1348, 3213, 5318, 7606, 1336, 102 ]
[ 101, 1103, 18099, 1104, 3926, 1110, 10802, 4013, 1194, 1119, 1643, 16388, 1394, 117, 1229, 1175, 1132, 1185, 7856, 185, 7889, 23652, 13791, 1596, 10748, 1106, 4252, 13782, 1566, 3926, 1121, 1103, 1404, 119, 1223, 2975, 1187, 3926, 20443, 1110, 13162, 117, 1216, 1112, 1107, 14715, 17149, 118, 7449, 4420, 1114, 24438, 5971, 11553, 8191, 1558, 117, 1139, 19773, 3810, 20080, 20519, 9318, 1116, 117, 170, 1643, 20519, 1126, 20504, 117, 1137, 4809, 1513, 2765, 3653, 117, 12177, 3926, 23042, 4365, 1107, 1103, 11911, 117, 1762, 117, 1105, 1322, 13335, 8643, 11932, 117, 3694, 1107, 26844, 7621, 1530, 113, 187, 2155, 114, 1194, 1103, 175, 3452, 1320, 1105, 5871, 3169, 1195, 14788, 3943, 119, 187, 2155, 1169, 2035, 5644, 1104, 3652, 1105, 1748, 21497, 5677, 173, 6834, 26420, 117, 1216, 1112, 11911, 20497, 12725, 4863, 117, 172, 3161, 1197, 15342, 1548, 117, 1119, 4163, 2941, 1610, 16430, 7903, 117, 1139, 13335, 2881, 10721, 117, 1679, 4578, 16936, 6620, 117, 1105, 1168, 8131, 119, 1107, 1103, 11911, 1104, 13306, 1119, 4163, 27659, 172, 113, 22572, 1665, 114, 4420, 117, 3926, 23042, 1144, 1151, 1276, 1107, 1241, 1119, 4163, 2430, 3457, 3052, 1105, 1231, 2941, 22806, 6696, 12858, 21091, 1348, 3652, 1780, 1103, 6978, 1110, 1136, 3106, 22484, 119, 1176, 1168, 20942, 117, 1119, 4163, 27659, 172, 7942, 113, 177, 1665, 1964, 114, 2993, 27808, 1104, 2989, 3652, 1106, 5250, 14430, 5498, 117, 1105, 3926, 1110, 1141, 1104, 1103, 1211, 1696, 27808, 119, 1242, 2527, 1138, 10581, 1103, 3797, 1206, 3926, 1166, 9607, 1105, 177, 1665, 1964, 1297, 5120, 1114, 18470, 2686, 119, 1199, 2527, 1138, 1276, 1115, 3926, 14710, 177, 1665, 1964, 25544, 117, 1229, 1639, 1138, 2602, 1115, 3926, 17203, 1279, 177, 1665, 1964, 25544, 119, 1211, 1104, 1103, 2527, 5996, 1103, 3112, 1648, 1104, 3926, 1113, 177, 1665, 1964, 5179, 119, 1106, 7584, 7317, 3708, 1103, 10393, 1206, 177, 1665, 1964, 1105, 3926, 117, 1105, 2437, 1103, 10748, 1104, 3926, 1166, 9607, 1107, 22572, 1665, 117, 1195, 8703, 4237, 1502, 1107, 1103, 11030, 4611, 19908, 1146, 1106, 179, 19762, 3113, 1743, 117, 1504, 117, 1106, 4361, 1126, 1107, 118, 5415, 4287, 1105, 3044, 1104, 7503, 1877, 119, 1107, 1103, 1769, 1404, 117, 3926, 1110, 3607, 1111, 8338, 1103, 8148, 3053, 1104, 1242, 7865, 119, 3926, 1107, 1103, 10211, 1110, 8761, 1194, 4267, 24709, 2720, 3936, 1200, 122, 113, 173, 1306, 1204, 1475, 114, 117, 170, 4321, 118, 14715, 3263, 12913, 18194, 4592, 117, 1137, 23123, 1162, 7526, 4592, 122, 1113, 6862, 2883, 1348, 1105, 179, 21024, 9291, 1233, 3873, 26431, 119, 1122, 1110, 1173, 16578, 1118, 1103, 175, 1200, 12736, 12148, 1394, 113, 175, 1643, 1179, 114, 1106, 15600, 1106, 4036, 4854, 1107, 1103, 1892, 14765, 117, 1105, 1678, 1106, 1103, 14044, 25669, 8167, 12809, 19268, 1116, 1111, 14044, 25669, 8167, 4184, 8136, 16317, 119, 3926, 1115, 1110, 1136, 12750, 1169, 1145, 1129, 7905, 1112, 175, 1200, 7729, 1394, 1137, 23123, 2155, 18494, 1394, 1107, 3873, 26431, 117, 23639, 12736, 19911, 1116, 117, 1105, 1119, 4163, 2430, 3457, 3052, 119, 1175, 1132, 1185, 7856, 185, 7889, 23652, 13791, 1596, 10748, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 131, 1103, 6457, 1104, 1142, 2025, 1108, 1106, 7584, 7317, 3708, 1103, 10393, 1206, 1119, 4163, 27659, 172, 7942, 113, 177, 1665, 1964, 114, 8974, 1105, 3926, 1166, 9607, 117, 1105, 1106, 2437, 1103, 10748, 1104, 3926, 1166, 9607, 1107, 13306, 1119, 4163, 27659, 172, 113, 22572, 1665, 114, 1105, 1103, 1648, 3926, 2399, 1107, 177, 1665, 1964, 1297, 5120, 119, 2233, 3509, 131, 1142, 3189, 1108, 1359, 1113, 2233, 1107, 4237, 1502, 1107, 1103, 11030, 4611, 19908, 1146, 1106, 179, 19762, 3113, 1743, 117, 1504, 117, 1114, 1103, 2501, 15573, 1119, 4163, 27659, 172, 7942, 117, 3926, 1166, 9607, 117, 3926, 20443, 117, 1119, 1643, 16388, 1394, 117, 5179, 117, 1105, 25544, 119, 2025, 4557, 131, 4237, 2272, 1106, 3926, 20443, 117, 3926, 1166, 102 ]
[ 101, 2942, 10294, 6163, 4182, 113, 172, 19878, 114, 1110, 170, 1558, 2612, 1104, 14471, 1105, 182, 1766, 14598, 1785, 117, 1105, 1103, 1503, 1211, 1887, 12477, 2646, 12149, 7232, 1107, 1103, 1362, 113, 122, 114, 119, 1103, 21014, 1104, 1142, 12477, 2646, 12149, 7232, 2196, 5602, 8516, 1621, 5209, 1193, 1137, 5237, 2716, 3393, 6623, 1107, 4321, 19366, 2916, 120, 5237, 2182, 119, 172, 19878, 1110, 1103, 1503, 1211, 1887, 2076, 1104, 4182, 1107, 1441, 1105, 1103, 1248, 1211, 1887, 4182, 1107, 1535, 4529, 113, 123, 114, 119, 24181, 2737, 15191, 1144, 1151, 2103, 1112, 1217, 170, 1344, 118, 21014, 1298, 1104, 3245, 8005, 10879, 2556, 14196, 113, 176, 2875, 114, 4182, 1116, 113, 124, 117, 125, 114, 119, 1107, 1103, 24181, 2737, 15191, 4524, 117, 172, 19878, 5149, 1103, 1503, 1211, 1887, 2076, 1104, 176, 2875, 4182, 117, 1378, 13936, 4184, 19911, 1348, 1105, 3245, 11048, 4182, 113, 126, 117, 127, 114, 119, 1103, 189, 27226, 118, 17203, 1766, 5565, 185, 16229, 10223, 1527, 1161, 9812, 1111, 170, 172, 1183, 1665, 2836, 118, 7449, 24779, 27558, 185, 16229, 10223, 1527, 1161, 117, 1134, 4096, 1112, 170, 4366, 27335, 1104, 2765, 3213, 1105, 23766, 1107, 1103, 176, 1475, 4065, 1104, 1103, 2765, 5120, 113, 128, 117, 129, 114, 119, 8458, 1193, 117, 185, 16229, 10223, 1527, 1161, 1144, 1151, 3626, 1112, 1126, 27558, 1104, 172, 1183, 1665, 2836, 118, 7449, 24779, 125, 1105, 127, 119, 1112, 170, 9547, 117, 185, 16229, 10223, 1527, 1161, 2399, 170, 2418, 1648, 1107, 1103, 23766, 1965, 1104, 1242, 3322, 1104, 189, 27226, 2765, 3213, 1105, 170, 18299, 26156, 117, 1105, 1884, 18337, 5430, 4099, 1114, 1103, 2838, 1104, 1103, 5250, 14430, 7969, 2765, 4272, 2848, 4915, 180, 1182, 1545, 1559, 117, 1134, 1110, 1932, 6497, 1112, 1103, 23766, 13537, 1107, 1107, 13053, 14196, 189, 27226, 1116, 113, 130, 117, 1275, 114, 119, 1211, 1769, 2942, 10294, 6163, 1610, 16430, 7903, 1116, 1437, 7434, 18651, 1107, 1103, 185, 16229, 10223, 1527, 1161, 118, 172, 1183, 1665, 2836, 173, 118, 185, 26281, 13548, 113, 1429, 114, 119, 1103, 185, 16229, 10223, 1527, 1161, 5565, 1104, 1103, 172, 1183, 1665, 2836, 173, 120, 185, 26281, 13548, 1144, 1151, 1276, 1106, 1129, 22951, 1107, 1769, 12477, 2646, 12149, 9885, 1114, 170, 5625, 1248, 1178, 1106, 185, 24239, 113, 1367, 117, 1492, 114, 119, 17895, 117, 16358, 3702, 6482, 2758, 1361, 3687, 26883, 4199, 1105, 177, 24312, 11006, 18873, 1891, 1104, 1103, 17110, 1132, 1558, 10748, 1104, 185, 16229, 10223, 1527, 1161, 1107, 11179, 16617, 113, 129, 117, 1489, 117, 1405, 114, 119, 177, 24312, 11006, 18873, 1891, 1104, 1664, 118, 182, 15012, 1906, 17110, 4001, 1110, 1141, 1104, 1103, 1887, 10748, 1111, 1107, 11179, 19012, 189, 27226, 118, 17203, 1766, 9077, 117, 1134, 4501, 1106, 6111, 1155, 11194, 118, 2747, 2445, 1104, 15416, 3053, 113, 1479, 114, 119, 1216, 1899, 18873, 6006, 6613, 1106, 4467, 1120, 1103, 3911, 1104, 172, 1643, 1403, 28028, 21977, 26918, 23767, 1116, 117, 1134, 1132, 10005, 1174, 1112, 1177, 118, 1270, 172, 1643, 1403, 5011, 1105, 1132, 3933, 1276, 1107, 17110, 1116, 1104, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 177, 24312, 11006, 18873, 1891, 1104, 1103, 17110, 1805, 1104, 1103, 185, 16229, 10223, 1527, 1161, 113, 185, 16229, 114, 5565, 2399, 170, 2418, 1648, 1107, 1103, 1718, 1105, 16147, 1104, 2942, 10294, 6163, 4182, 113, 172, 19878, 114, 119, 1103, 6457, 1104, 1103, 1675, 2025, 1108, 1106, 4586, 1103, 1648, 1104, 1103, 1899, 18873, 1891, 2781, 1104, 1103, 185, 16229, 5565, 1107, 12620, 172, 19878, 2740, 1105, 1106, 1884, 18337, 2193, 1122, 1114, 1103, 1672, 12257, 4184, 9779, 7542, 11934, 119, 3622, 1104, 185, 16229, 17110, 1899, 18873, 1891, 1108, 1982, 1118, 1899, 18873, 1891, 118, 2747, 185, 1665, 1197, 119, 5808, 118, 2022, 113, 3565, 119, 122, 110, 114, 1104, 1103, 172, 19878, 2740, 1127, 1276, 1106, 1129, 1899, 18873, 2913, 1111, 1103, 185, 102 ]
[ 101, 1126, 6639, 14987, 1105, 26767, 1596, 188, 25710, 7540, 113, 170, 11192, 114, 4248, 170, 1415, 1372, 1104, 13922, 18952, 1104, 2774, 26622, 117, 1666, 1106, 12477, 8745, 19092, 1126, 6639, 14987, 3154, 1105, 20220, 1103, 1105, 26767, 1596, 3200, 164, 122, 117, 123, 166, 119, 1103, 1211, 1887, 9619, 1105, 1107, 16811, 1895, 170, 11192, 1114, 1147, 5297, 4413, 1132, 2103, 1107, 1952, 122, 119, 1105, 26767, 1116, 2496, 1118, 7861, 1106, 1103, 4272, 1105, 26767, 10814, 113, 170, 1197, 114, 1107, 1103, 172, 25669, 4184, 7580, 1306, 1105, 1173, 14715, 27089, 2193, 1154, 1103, 14297, 119, 1142, 7861, 2686, 1107, 14516, 21967, 26736, 21404, 2607, 1104, 1103, 10814, 12759, 1103, 8234, 1206, 10814, 1105, 4592, 117, 1105, 10814, 1105, 173, 1605, 119, 1103, 3501, 2401, 1104, 1155, 188, 25710, 7540, 1110, 170, 1679, 7889, 23632, 1186, 118, 172, 1183, 1665, 13200, 3452, 7428, 185, 10436, 2861, 22165, 1162, 3170, 1449, 1115, 1169, 1129, 5847, 1107, 1546, 1106, 6268, 1317, 2011, 5297, 13334, 119, 1103, 1211, 1696, 5297, 15156, 117, 1107, 1134, 1103, 3501, 2401, 1169, 13971, 117, 1110, 2103, 1107, 20497, 1403, 119, 122, 119, 1126, 6639, 25694, 1306, 1110, 3393, 1118, 180, 23698, 1179, 1112, 1251, 1352, 1107, 1134, 15385, 1110, 12630, 1193, 5366, 1107, 8290, 1404, 3367, 117, 1719, 1194, 23842, 1104, 4592, 11362, 1105, 120, 1137, 10558, 14025, 1104, 4592, 5456, 1107, 1103, 1404, 119, 23400, 6484, 1169, 1129, 1737, 1112, 1103, 1514, 4010, 7918, 1111, 1103, 1126, 6639, 14987, 3154, 1104, 170, 2225, 117, 1134, 1132, 22060, 1118, 170, 1733, 1134, 1170, 7401, 1106, 170, 11192, 1132, 1146, 118, 12521, 1105, 1147, 1295, 6986, 1114, 1404, 1459, 119, 3335, 117, 170, 11192, 4959, 1126, 2773, 1107, 6484, 2060, 1112, 170, 9547, 1104, 170, 13753, 118, 7449, 177, 24312, 8005, 22192, 3694, 1107, 1126, 2773, 1104, 1103, 2771, 118, 2237, 1348, 1877, 1104, 1241, 2076, 178, 1105, 2076, 25550, 6484, 18064, 1105, 1139, 1320, 21977, 19094, 16525, 1918, 4935, 119, 1167, 5909, 117, 1122, 1144, 1151, 2103, 1115, 170, 11192, 1169, 2773, 15745, 1106, 6730, 1118, 1543, 1103, 6130, 1167, 4451, 1106, 1166, 9607, 3335, 7292, 1158, 1172, 1121, 6484, 12753, 3290, 1105, 9248, 1103, 1634, 1104, 4592, 11362, 1219, 7593, 119, 2693, 1199, 20340, 1329, 1104, 170, 11192, 113, 5199, 14947, 117, 2425, 1137, 3718, 177, 1183, 5674, 7528, 14230, 6602, 117, 1603, 23432, 117, 20844, 1964, 20930, 9318, 3576, 119, 114, 1175, 1110, 1145, 2043, 6704, 1621, 7653, 2108, 1404, 7925, 26566, 1733, 1107, 1546, 1106, 4607, 1147, 3853, 1105, 1106, 2773, 6484, 3213, 1105, 8290, 1404, 3367, 117, 1781, 1154, 3300, 1103, 2418, 1126, 6639, 14987, 3154, 1807, 2103, 119, 1136, 1118, 2640, 117, 1292, 15804, 2303, 1439, 1103, 6047, 1372, 1104, 2099, 118, 23327, 5557, 117, 1134, 1145, 1511, 131, 188, 3121, 13601, 23288, 117, 2489, 16249, 1468, 117, 14516, 1810, 27230, 1105, 1126, 8745, 23415, 7376, 117, 4267, 3313, 7376, 117, 1892, 14112, 1468, 1105, 7739, 1158, 5557, 119, 170, 1344, 118, 13753, 6716, 1179, 1110, 18452, 1118, 12459, 2567, 9619, 1105, 1107, 16811, 1895, 170, 11192, 117, 1134, 1132, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1126, 6639, 14987, 1105, 26767, 1596, 188, 25710, 7540, 113, 170, 11192, 114, 4248, 170, 1415, 1372, 1104, 13922, 18952, 1104, 2774, 26622, 117, 1666, 1106, 12477, 8745, 19092, 1126, 6639, 14987, 3154, 1105, 20220, 1103, 1105, 26767, 1596, 3200, 119, 170, 2225, 1169, 1129, 8318, 9619, 1193, 117, 6486, 21716, 1193, 1118, 1107, 4487, 6308, 11702, 14546, 1105, 14715, 2692, 7435, 1193, 119, 1105, 26767, 1116, 2496, 1118, 7861, 1106, 1103, 4272, 1105, 26767, 10814, 113, 170, 1197, 114, 1107, 1103, 172, 25669, 4184, 7580, 1306, 1105, 1173, 14715, 27089, 2193, 1154, 1103, 14297, 119, 1142, 7861, 2686, 1107, 14516, 21967, 26736, 21404, 2607, 1104, 1103, 10814, 12759, 1103, 8234, 1206, 10814, 1105, 4592, 117, 1105, 10814, 1105, 173, 1605, 119, 23400, 6484, 1169, 1129, 102 ]
[ 101, 1107, 1704, 27373, 117, 25433, 2749, 1144, 1151, 1215, 3860, 22726, 1193, 1106, 2235, 185, 10436, 6758, 22176, 2187, 1107, 7577, 1106, 8240, 3584, 117, 1780, 2199, 1144, 2569, 1107, 2793, 1201, 119, 1121, 170, 9988, 1553, 1104, 2458, 1175, 1132, 8148, 13300, 1106, 1606, 170, 25433, 6136, 119, 1107, 1664, 118, 8981, 2000, 4974, 1116, 25433, 2749, 1144, 1151, 2376, 12885, 1193, 1112, 170, 9988, 2548, 1219, 1317, 4397, 117, 1105, 1122, 1144, 1145, 1307, 1126, 1696, 1648, 1121, 1126, 3752, 1553, 1104, 2458, 119, 1103, 1514, 3007, 1104, 1142, 3189, 2526, 1110, 1106, 6265, 9988, 2686, 1111, 1103, 174, 4935, 7242, 118, 191, 7580, 3292, 1449, 119, 1649, 117, 1107, 1103, 1148, 1226, 1104, 1142, 4784, 117, 1195, 3189, 25433, 2749, 1107, 1664, 118, 8981, 2000, 4974, 1116, 1105, 2817, 1113, 1103, 1957, 118, 1231, 16236, 23936, 1596, 1692, 117, 1780, 1199, 2686, 1107, 1103, 1664, 118, 1231, 16236, 23936, 1596, 1692, 1209, 1145, 1129, 3025, 119, 1103, 2255, 1115, 1195, 2817, 1113, 1103, 1231, 16236, 23936, 1596, 1692, 1110, 1136, 1178, 1115, 1122, 1110, 1167, 4099, 2272, 1106, 1103, 1514, 3815, 1107, 1142, 3189, 117, 1133, 1145, 1115, 1103, 3783, 1113, 1231, 16236, 23936, 1596, 25433, 2749, 1110, 1304, 22726, 1107, 7577, 1106, 1103, 1664, 118, 1231, 16236, 23936, 1596, 1692, 117, 1107, 2440, 6995, 1103, 1231, 16236, 23936, 1596, 1105, 1664, 118, 1231, 16236, 23936, 1596, 11538, 27277, 1179, 8381, 119, 1195, 2059, 1115, 170, 1363, 4287, 1104, 25433, 2749, 1107, 1664, 118, 8981, 2000, 4974, 1116, 1110, 8148, 1106, 1363, 3254, 1643, 17121, 1104, 25433, 2749, 1107, 1704, 27373, 119, 1167, 5909, 117, 1122, 1110, 1510, 1103, 1692, 1115, 9988, 4069, 1215, 1106, 7299, 1103, 174, 4935, 7242, 118, 191, 7580, 3292, 1449, 1132, 2446, 1166, 1121, 4069, 1872, 1107, 1103, 1957, 1231, 16236, 23936, 1596, 1137, 1664, 118, 1231, 16236, 23936, 1596, 1692, 119, 1103, 3007, 1104, 25433, 2749, 1110, 1106, 2235, 1103, 1159, 7243, 1104, 170, 2436, 1104, 9150, 119, 1111, 5374, 117, 1103, 9150, 1132, 14296, 1105, 10799, 1107, 170, 8795, 3245, 1137, 16159, 1105, 17146, 1107, 170, 13441, 119, 1107, 1112, 8005, 18256, 1103, 9150, 1132, 2940, 117, 26341, 1137, 1256, 13687, 1104, 26341, 119, 170, 7987, 2672, 1104, 25433, 2749, 1110, 1115, 1157, 3584, 1132, 11435, 1105, 1103, 11287, 2344, 1132, 1758, 1118, 3476, 4226, 175, 134, 175, 113, 189, 117, 193, 117, 185, 114, 117, 1134, 4248, 1103, 3476, 1104, 9150, 1114, 1549, 2000, 4974, 1700, 113, 189, 117, 193, 114, 1105, 11550, 185, 119, 170, 3476, 3053, 2515, 170, 6968, 1104, 1869, 117, 1105, 23639, 5864, 22258, 12709, 1132, 3253, 10056, 1121, 1142, 3053, 119, 1107, 170, 8240, 2235, 1103, 12709, 1115, 5594, 1103, 1449, 1202, 1136, 12864, 1113, 1103, 11550, 185, 1133, 1178, 1113, 1103, 2000, 4974, 1553, 113, 189, 117, 193, 114, 119, 170, 3026, 1104, 2235, 1110, 1932, 1189, 1114, 7328, 1106, 1103, 2952, 4625, 1104, 2199, 1111, 1103, 1449, 1137, 1114, 7328, 1106, 18294, 19069, 119, 1122, 1431, 1129, 3025, 1115, 170, 1315, 22607, 8240, 2235, 1336, 1660, 3606, 1106, 5963, 118, 4905, 13794, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 1514, 3007, 1104, 1142, 3342, 1110, 1106, 2194, 170, 6388, 1106, 10384, 1116, 1113, 4265, 4625, 1104, 7995, 1106, 1103, 174, 4935, 7242, 118, 191, 7580, 3292, 1449, 119, 1142, 1449, 5509, 174, 4935, 7242, 188, 11838, 1106, 170, 25433, 2187, 2235, 119, 25433, 2749, 1144, 1151, 1126, 1696, 1768, 1104, 1844, 1219, 1317, 4397, 1107, 1134, 1103, 1514, 2817, 1144, 1151, 1113, 1664, 118, 1231, 16236, 23936, 1596, 1105, 1957, 1231, 16236, 23936, 1596, 7094, 117, 178, 119, 174, 119, 117, 1106, 2235, 1103, 14189, 1104, 8795, 17202, 117, 13441, 1116, 117, 1105, 1207, 1633, 1811, 2191, 118, 176, 1611, 5086, 24558, 2344, 119, 1107, 1997, 117, 1231, 7807, 2339, 1105, 1231, 1394, 7087, 170, 9988, 2025, 1104, 1103, 174, 4935, 7242, 118, 191, 102 ]
[ 101, 1175, 1132, 1120, 1655, 1969, 3322, 1104, 3420, 23997, 3848, 10548, 117, 1544, 1104, 1134, 1132, 4451, 1104, 4411, 3653, 1107, 3612, 119, 1103, 3420, 23997, 3848, 185, 1673, 1818, 4184, 20473, 1161, 27136, 1195, 5594, 1103, 1692, 1104, 170, 2539, 118, 1214, 118, 1385, 1590, 1114, 170, 1607, 1104, 17972, 1143, 6473, 4814, 1105, 1893, 19860, 177, 24312, 23826, 1988, 1150, 1108, 4120, 1106, 1412, 2704, 1114, 10880, 1105, 8006, 1104, 19192, 8974, 117, 4267, 1813, 1197, 13836, 117, 1105, 12104, 1231, 7050, 4290, 119, 1195, 1215, 1842, 118, 1159, 21176, 6530, 4129, 3943, 113, 185, 1665, 1197, 114, 1106, 11552, 181, 119, 185, 1673, 1818, 4184, 20473, 1161, 173, 1605, 1107, 17963, 1892, 1105, 23651, 8025, 1105, 19968, 2848, 4915, 1121, 170, 5351, 1114, 20673, 119, 1290, 3420, 23997, 3848, 1110, 170, 2612, 1104, 123, 110, 1106, 1405, 110, 1104, 1155, 1661, 118, 2888, 20673, 1116, 1115, 4752, 2704, 2734, 117, 3420, 23997, 6643, 4863, 1431, 1129, 1678, 1154, 3300, 1107, 1126, 1120, 1183, 15328, 26600, 8974, 1105, 1136, 1129, 6278, 119, 1167, 5909, 117, 1842, 118, 1159, 185, 1665, 1197, 1431, 1129, 1737, 170, 5616, 20346, 3442, 119, 3420, 23997, 3848, 1530, 1132, 25968, 118, 4366, 10548, 1115, 1132, 190, 5567, 21594, 1361, 1107, 1241, 2379, 16500, 1105, 11758, 5384, 1105, 20670, 10152, 1105, 1107, 8246, 16500, 10902, 119, 122, 117, 123, 1769, 8974, 1114, 3420, 23997, 3848, 188, 8661, 119, 1144, 1160, 4966, 2769, 131, 3420, 1988, 24730, 1116, 3653, 117, 170, 1167, 5199, 1532, 1104, 8974, 1134, 2075, 20673, 117, 1105, 185, 9921, 12571, 10880, 117, 170, 10496, 1200, 175, 15581, 13217, 1162, 23896, 118, 1176, 6946, 1443, 20673, 119, 124, 3420, 23997, 3848, 4061, 1112, 1103, 2612, 1104, 1661, 118, 2888, 20673, 113, 6707, 114, 1107, 123, 110, 1405, 110, 1104, 1155, 10184, 1115, 4752, 2704, 2734, 119, 1103, 7300, 1105, 2070, 7810, 1956, 1104, 3420, 23997, 3848, 20673, 1132, 1664, 20080, 10294, 19814, 117, 1105, 1103, 12645, 9113, 1113, 8087, 5715, 119, 125, 1142, 2526, 3756, 170, 1692, 1104, 20673, 2416, 1118, 3420, 23997, 3848, 185, 1673, 1818, 4184, 20473, 1161, 1115, 1108, 4120, 1106, 1103, 1704, 2704, 1104, 180, 18445, 6105, 1182, 1107, 176, 8871, 2093, 119, 170, 2539, 118, 1214, 118, 1385, 2130, 1114, 170, 1607, 1104, 17972, 1143, 6473, 4814, 117, 13306, 184, 4832, 23055, 2109, 26600, 3653, 117, 1105, 1893, 19860, 177, 24312, 23826, 1988, 1114, 170, 125, 118, 1285, 1607, 1104, 1447, 1183, 4267, 1813, 1197, 13836, 1105, 4143, 1108, 4120, 1106, 1412, 2704, 119, 1103, 9505, 1121, 2952, 17865, 1113, 10296, 1127, 1112, 3226, 131, 4143, 3383, 119, 127, 1665, 117, 1892, 2997, 7029, 120, 4573, 2608, 177, 1403, 117, 1762, 2603, 12737, 11883, 120, 11241, 117, 1105, 19192, 2603, 1743, 13278, 120, 11241, 119, 8087, 9505, 1113, 10296, 1127, 1112, 3226, 131, 1653, 1892, 2765, 113, 192, 1830, 1665, 114, 5099, 1108, 1489, 117, 13760, 120, 181, 117, 172, 11811, 6105, 2042, 1108, 124, 119, 125, 17713, 120, 173, 1233, 117, 1103, 14044, 25669, 8167, 13335, 14300, 22122, 1891, 2603, 113, 13936, 1197, 114, 1108, 6745, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 4784, 8420, 1162, 1132, 1120, 1655, 1969, 3322, 1104, 3420, 23997, 3848, 10548, 117, 1544, 1104, 1134, 1132, 4451, 1104, 4411, 3653, 1107, 3612, 119, 1103, 3420, 23997, 3848, 185, 1673, 1818, 4184, 20473, 1161, 27136, 117, 1103, 7261, 2612, 1104, 3420, 1988, 24730, 1116, 3653, 117, 4680, 3078, 110, 1104, 3420, 23997, 6643, 4863, 2740, 119, 1692, 8685, 7921, 5594, 1103, 1692, 1104, 170, 2539, 118, 1214, 118, 1385, 1590, 1114, 170, 1607, 1104, 17972, 1143, 6473, 4814, 1105, 1893, 19860, 177, 24312, 23826, 1988, 1150, 1108, 4120, 1106, 1412, 2704, 1114, 10880, 1105, 8006, 1104, 19192, 8974, 117, 4267, 1813, 1197, 13836, 117, 1105, 12104, 1231, 7050, 4290, 119, 1195, 1215, 1842, 118, 1159, 21176, 6530, 4129, 3943, 113, 185, 1665, 1197, 114, 1106, 102 ]
[ 101, 7693, 176, 8734, 1186, 117, 1126, 4252, 13782, 1880, 1104, 1103, 5812, 118, 13835, 13534, 2769, 1103, 3142, 1104, 1103, 19115, 1656, 1103, 5812, 1118, 3176, 1112, 170, 2094, 2674, 1111, 1260, 19091, 3121, 12198, 2285, 17599, 12866, 119, 1122, 2515, 1344, 3438, 1104, 7878, 6302, 117, 15385, 117, 19273, 117, 1105, 21177, 117, 119, 10548, 1675, 1107, 7693, 176, 8734, 1186, 1127, 2103, 1106, 1129, 2017, 1107, 11437, 19091, 11531, 1965, 1105, 1127, 1145, 1227, 1112, 3209, 22572, 17030, 13146, 1162, 2451, 119, 170, 22121, 3340, 1359, 2025, 1107, 7693, 176, 8734, 1186, 8025, 1144, 3090, 1103, 2915, 1104, 1372, 122, 119, 122, 1161, 1105, 122, 119, 122, 1830, 172, 23503, 10340, 5024, 16339, 117, 1126, 7856, 1821, 21667, 184, 8745, 3309, 6198, 117, 119, 23389, 7693, 176, 8734, 1186, 1110, 1145, 1696, 1290, 1152, 1510, 12397, 1672, 3507, 19790, 1116, 1134, 1169, 1129, 12473, 1111, 188, 10522, 8209, 17246, 117, 1105, 9061, 119, 1780, 1103, 17599, 23467, 3611, 1107, 7188, 5812, 23600, 1138, 1151, 2376, 117, 1376, 1110, 1227, 1164, 1103, 17599, 23467, 3611, 1104, 7693, 176, 8734, 1186, 19943, 1116, 117, 1105, 1175, 1144, 1151, 1185, 2527, 1606, 1344, 1194, 16156, 14516, 27276, 2815, 119, 1143, 5084, 27399, 1110, 1227, 1106, 10192, 1103, 2026, 1105, 1211, 7188, 24181, 9731, 12142, 1107, 1103, 1362, 119, 185, 17080, 3781, 28004, 1403, 5812, 1388, 1107, 187, 1182, 118, 171, 5114, 1182, 1629, 1104, 1143, 5084, 27399, 117, 1107, 7168, 1110, 170, 1313, 1104, 1672, 13534, 1105, 4733, 1126, 7891, 3750, 1111, 5076, 1103, 7693, 176, 8734, 1186, 17599, 25959, 1777, 1443, 1251, 22904, 8167, 4184, 7542, 2933, 119, 8025, 1127, 4465, 1113, 175, 15581, 5082, 3113, 1387, 1121, 1103, 7693, 176, 8734, 1186, 1104, 185, 17080, 3781, 28004, 1403, 5812, 113, 22589, 1559, 20581, 119, 3102, 1179, 117, 5539, 25491, 25631, 119, 1275, 1162, 114, 117, 1664, 1403, 5674, 1324, 117, 187, 1182, 118, 171, 5114, 1182, 1629, 117, 1107, 7168, 119, 1995, 14752, 176, 8734, 1186, 8025, 1127, 4465, 1121, 1472, 2844, 1104, 1103, 5812, 1837, 1105, 1103, 5384, 1661, 173, 1605, 1108, 16939, 10380, 1606, 1103, 2698, 173, 1605, 6898, 11622, 1111, 14479, 113, 182, 1643, 25128, 20489, 117, 3444, 1179, 117, 9294, 117, 1366, 1161, 114, 119, 1103, 22866, 16939, 173, 1605, 1108, 23609, 24269, 3059, 1606, 121, 119, 126, 110, 1822, 14838, 1553, 170, 5526, 6787, 27426, 1105, 3216, 1106, 7034, 170, 14752, 6876, 119, 1509, 173, 1605, 14759, 1127, 186, 27280, 6202, 1118, 1103, 1606, 170, 17599, 16671, 9728, 113, 171, 1306, 1403, 8074, 22218, 117, 179, 7076, 117, 176, 14170, 1183, 114, 119, 1103, 191, 1527, 1805, 1104, 1103, 1479, 1116, 187, 11782, 5565, 1108, 1821, 18580, 1606, 175, 24050, 1571, 120, 187, 18910, 1545, 5748, 1197, 4612, 113, 126, 118, 176, 1204, 1403, 19495, 1403, 1665, 1306, 1403, 19515, 1403, 1665, 9705, 1777, 1161, 118, 124, 132, 126, 118, 176, 2571, 5822, 7291, 1964, 9705, 19815, 2246, 1204, 5822, 22118, 1204, 118, 124, 114, 119, 1821, 1643, 8031, 1320, 1108, 16939, 1121, 123, 110, 170, 5526, 6787, 27426, 1116, 1105, 23609, 24269, 1606, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 191, 1527, 177, 24312, 8997, 24474, 1805, 1104, 1479, 1116, 187, 22834, 1161, 1108, 17689, 1111, 12760, 1103, 19560, 3611, 1675, 1107, 7693, 176, 8734, 1186, 1121, 1103, 25731, 1775, 1643, 21425, 1181, 5812, 185, 17080, 3781, 28004, 1403, 117, 1143, 5084, 27399, 117, 4691, 1107, 7168, 119, 27154, 4915, 6758, 11561, 1104, 4650, 1571, 117, 3887, 1527, 7158, 5178, 14088, 1605, 10028, 1114, 170, 4589, 119, 4589, 110, 176, 116, 172, 3438, 119, 170, 1703, 1104, 3746, 1545, 117, 24680, 3073, 1643, 2180, 22371, 1174, 9568, 1127, 10005, 1174, 1154, 11965, 1477, 184, 4814, 113, 6519, 3641, 23038, 7257, 1348, 2338, 114, 9472, 1104, 1407, 19560, 185, 18873, 1161, 119, 1103, 3641, 23038, 7257, 6168, 2799, 1115, 1103, 176, 8734, 1186, 19560, 1661, 1110, 6226, 102 ]
[ 101, 12630, 4764, 2386, 5239, 1206, 1103, 170, 15328, 1105, 171, 2225, 14995, 4412, 10936, 13770, 1104, 174, 18965, 18809, 2916, 2765, 13441, 10936, 1116, 1189, 1122, 2330, 1115, 10936, 4764, 7540, 1132, 1136, 11937, 1193, 4901, 1107, 170, 16358, 28008, 4633, 119, 1103, 4764, 2386, 187, 17495, 11066, 1108, 1872, 1106, 4137, 11937, 8865, 1104, 16516, 22938, 4764, 7540, 117, 1105, 1142, 1911, 1976, 1276, 4683, 1107, 14837, 171, 22717, 1403, 117, 1322, 13335, 25669, 11776, 117, 1105, 4344, 14715, 11243, 113, 7815, 1107, 114, 119, 1107, 2235, 10936, 1116, 117, 4764, 7540, 1169, 2767, 1154, 17599, 21442, 2716, 1231, 24313, 12598, 187, 17495, 118, 1176, 13770, 119, 13441, 10936, 8910, 25232, 1116, 1824, 1118, 5297, 10936, 171, 1513, 13834, 1158, 1137, 2765, 20085, 8826, 1145, 1437, 4065, 9151, 164, 126, 118, 129, 166, 119, 1861, 13770, 1132, 1136, 10238, 1852, 2904, 8310, 1104, 8362, 17786, 2149, 4774, 13441, 10936, 1116, 1107, 1690, 3652, 117, 1133, 1103, 1664, 118, 15784, 2731, 1104, 2765, 10936, 1116, 117, 1259, 1322, 13335, 25669, 11776, 117, 4252, 13335, 25669, 11776, 117, 1105, 1168, 182, 3329, 4759, 5669, 117, 1336, 3843, 1166, 1204, 4065, 8865, 119, 15869, 117, 25220, 3622, 1104, 4764, 2386, 118, 15283, 4592, 1105, 4764, 2386, 22873, 1107, 2765, 10936, 1116, 1118, 23896, 12238, 14797, 7593, 1170, 6307, 2165, 19226, 2118, 113, 175, 14543, 114, 117, 175, 9731, 1200, 20370, 2308, 4036, 113, 175, 8127, 114, 117, 1105, 23896, 12238, 14797, 18741, 188, 26426, 5864, 20739, 113, 175, 6063, 114, 164, 130, 118, 1429, 166, 4668, 1115, 187, 17495, 1116, 1107, 1103, 13441, 10936, 1104, 8137, 3652, 1538, 1129, 1304, 1353, 1137, 174, 27801, 4027, 1348, 113, 1137, 1241, 114, 117, 6524, 1126, 7243, 1104, 1103, 4764, 2386, 187, 17495, 11066, 119, 1292, 4296, 13687, 1202, 1136, 4248, 4764, 2386, 4065, 8865, 1116, 1133, 1132, 1930, 1603, 118, 2079, 13649, 9520, 1852, 4764, 7540, 1118, 14715, 3263, 12913, 18194, 7865, 1105, 1884, 3740, 4571, 2496, 1394, 4413, 119, 2456, 117, 1103, 1954, 4506, 1111, 1103, 1768, 1110, 1106, 2437, 1103, 9455, 11044, 1206, 4592, 1105, 4764, 2386, 1115, 22042, 1103, 18291, 1193, 1353, 117, 15443, 13687, 1104, 5644, 1154, 2610, 117, 1167, 6111, 10936, 17599, 9277, 8104, 1116, 2320, 1111, 3053, 119, 1103, 2793, 1718, 1104, 7246, 25220, 17599, 11428, 5005, 4069, 1144, 3682, 1412, 3044, 1104, 4764, 2386, 14189, 1107, 8137, 3652, 119, 1103, 22873, 1104, 187, 17495, 4764, 7540, 113, 174, 119, 176, 119, 117, 188, 27008, 18255, 4527, 24247, 114, 1105, 1664, 118, 187, 17495, 4764, 7540, 113, 174, 119, 176, 119, 117, 185, 15342, 20695, 3121, 3810, 5765, 3822, 5326, 9685, 114, 1108, 7140, 1118, 1126, 12002, 175, 6063, 5531, 1439, 4001, 1112, 1353, 1112, 1476, 19137, 1107, 6211, 1606, 23842, 17744, 1260, 7136, 2116, 23896, 12238, 14797, 17599, 11428, 5005, 119, 1103, 2686, 5057, 1115, 187, 17495, 4764, 7540, 117, 1133, 1136, 1664, 118, 187, 17495, 4764, 7540, 117, 1132, 5750, 9353, 15544, 1193, 7333, 117, 12456, 1111, 1603, 12424, 113, 133, 1406, 19137, 114, 1105, 1111, 1603, 6461, 113, 1275, 118, 1406, 182, 1116, 114, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 2554, 1107, 1619, 1104, 1103, 4521, 4764, 2386, 187, 17495, 11066, 1144, 1915, 8468, 17849, 119, 2233, 5401, 1115, 14715, 3263, 12913, 18194, 7865, 1105, 1103, 2496, 1394, 118, 4051, 1884, 3740, 4571, 172, 25669, 2155, 13622, 22273, 1169, 11021, 4764, 7540, 1154, 1603, 118, 2077, 9468, 14226, 20532, 24798, 1115, 1169, 1129, 8968, 1154, 2610, 13770, 1223, 2218, 2975, 119, 1142, 6253, 1126, 23657, 2458, 1107, 1134, 10393, 1206, 4764, 7540, 117, 22572, 9016, 4648, 4063, 117, 1105, 7865, 2561, 1105, 4731, 11937, 1119, 25710, 27054, 1785, 1107, 1103, 2765, 10936, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 26976, 3098, 2008, 26979, 1158, 1110, 12201, 1112, 187, 14088, 9199, 9318, 1105, 1110, 1887, 1107, 20186, 1105, 10883, 1231, 6817, 4902, 2833, 119, 1122, 1110, 2628, 1114, 5602, 182, 1766, 14598, 1785, 1107, 1482, 1150, 3933, 5529, 1103, 1278, 117, 1138, 1607, 1104, 2967, 2704, 20412, 117, 1105, 1145, 8813, 2418, 17123, 182, 1766, 14598, 1785, 119, 16679, 117, 1196, 3634, 170, 5663, 12645, 117, 170, 1295, 1104, 4420, 13971, 14924, 19849, 5193, 1105, 13467, 14115, 119, 8006, 1132, 1510, 4853, 1114, 1115, 1104, 3245, 11048, 182, 3329, 13378, 11759, 1105, 12645, 1110, 1510, 8088, 1496, 1106, 2869, 6885, 4423, 4457, 187, 14088, 9199, 9318, 1621, 15230, 119, 1303, 1195, 1132, 11124, 170, 1692, 1115, 14114, 20346, 6406, 1112, 1640, 3025, 1105, 2799, 8331, 1770, 1170, 1103, 5663, 12645, 1108, 1189, 119, 1103, 1514, 5320, 1115, 2375, 1107, 1231, 11234, 1104, 8006, 1127, 17847, 15604, 21155, 20939, 1105, 1103, 3016, 7533, 1104, 1103, 7454, 119, 170, 1744, 118, 1214, 118, 1385, 5141, 2756, 1114, 1123, 2252, 1105, 1534, 1114, 1103, 11344, 1104, 1231, 21754, 1105, 1107, 15017, 1895, 26979, 1158, 1290, 1763, 123, 1201, 119, 1103, 26979, 1158, 1108, 2366, 117, 9939, 2032, 1103, 1285, 117, 1105, 1122, 1215, 1106, 2773, 1170, 13077, 119, 1111, 1103, 1763, 127, 1808, 117, 1131, 1108, 1136, 1682, 1106, 2080, 1256, 1103, 6161, 10211, 1106, 1103, 6102, 1115, 1374, 11456, 1116, 1104, 1447, 1127, 6664, 1106, 21497, 26979, 1158, 119, 1373, 1114, 26979, 1158, 117, 1131, 1145, 10790, 1104, 174, 19093, 5412, 1596, 2445, 1104, 8418, 117, 1134, 1131, 1215, 1106, 12699, 1170, 122, 118, 123, 177, 119, 1292, 3426, 1104, 9719, 1757, 4418, 3296, 1165, 1131, 1108, 1223, 1199, 6600, 119, 8655, 1142, 117, 1131, 1108, 1136, 1515, 1251, 1168, 12522, 117, 174, 119, 176, 119, 117, 14701, 2489, 117, 1554, 1757, 1107, 1103, 3472, 1170, 1515, 13077, 117, 4267, 1813, 1197, 13836, 1137, 14255, 2050, 9717, 1891, 117, 1137, 24841, 7866, 119, 1123, 1607, 1225, 1136, 5996, 1251, 17688, 2463, 117, 17811, 24928, 11955, 7810, 16312, 1116, 117, 1137, 14255, 25247, 3447, 5266, 119, 1120, 1103, 1159, 1104, 8685, 117, 1131, 1108, 6391, 113, 1248, 13373, 12831, 114, 1114, 2999, 175, 21470, 3213, 119, 1123, 1266, 1607, 1108, 8362, 16996, 23822, 1895, 2589, 1115, 1131, 1125, 12448, 4125, 1114, 1123, 2153, 118, 1107, 118, 1644, 119, 1463, 1123, 2252, 1108, 1304, 17847, 1133, 1111, 1593, 122, 1214, 1131, 1108, 6218, 1120, 1123, 1534, 112, 188, 1402, 1496, 1106, 1142, 6946, 119, 1290, 1103, 15415, 1104, 6946, 1131, 9315, 4154, 8087, 11041, 1259, 3105, 3245, 8005, 118, 1107, 13053, 14196, 1322, 2155, 20739, 117, 2927, 3656, 7696, 117, 1105, 182, 2047, 3575, 1133, 1251, 1104, 1103, 5715, 1225, 1136, 7063, 1251, 4006, 1115, 1180, 4137, 1103, 8006, 119, 2686, 1104, 1123, 11911, 1105, 16042, 3053, 5715, 1127, 1439, 2999, 6263, 1290, 1103, 15415, 1104, 6946, 119, 1107, 1103, 1763, 117, 1131, 1108, 5165, 1114, 170, 1295, 1104, 5557, 1259, 2848, 2007, 11135, 7418, 117, 2848, 12685, 8401, 7376, 117, 5250, 11006, 2328, 25593, 117, 5250, 1633, 118, 11188, 27558, 1116, 117, 1105, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 187, 14088, 9199, 9318, 1110, 1227, 1106, 4056, 1107, 20186, 1105, 10883, 1231, 6817, 4902, 6323, 1290, 1263, 1159, 119, 1107, 1763, 1374, 1201, 117, 1199, 3756, 1691, 1115, 2799, 1157, 3796, 1107, 4457, 4420, 1145, 119, 1122, 1110, 3933, 4853, 1114, 1103, 1107, 15017, 1895, 26979, 1158, 1107, 6323, 1105, 1940, 1116, 7168, 25566, 4863, 4501, 1106, 8513, 1107, 5806, 2635, 119, 1195, 1132, 1303, 7645, 1103, 1692, 1104, 170, 2130, 5351, 1114, 187, 14088, 9199, 9318, 1187, 2747, 1827, 1107, 1103, 1607, 3687, 2042, 2913, 1103, 2915, 1104, 1142, 6946, 1105, 2375, 1107, 5806, 2635, 119, 1103, 5351, 1245, 188, 17162, 6451, 4165, 1714, 1770, 1170, 1103, 12645, 1108, 1680, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1126, 1120, 9180, 1186, 118, 170, 27361, 188, 5730, 3292, 2916, 172, 6834, 1204, 1110, 1304, 4054, 119, 1290, 1103, 1148, 2592, 1104, 1142, 8241, 1988, 1118, 1113, 10008, 8558, 1105, 1940, 1324, 1475, 114, 1107, 2115, 117, 1106, 1412, 3044, 119, 1649, 117, 1103, 1954, 2592, 1758, 170, 5351, 1114, 170, 1415, 23123, 1766, 1197, 2328, 11007, 172, 6834, 2941, 3367, 1134, 1108, 1562, 1213, 3073, 12986, 15581, 4412, 2000, 1104, 1103, 1120, 9180, 12985, 27361, 4091, 1113, 1103, 1286, 1334, 1105, 1103, 184, 4832, 17993, 1104, 1103, 9468, 7301, 20695, 15023, 2176, 1348, 19421, 1113, 172, 1200, 15901, 1348, 8364, 20370, 3077, 113, 182, 2047, 114, 119, 1195, 2592, 170, 188, 17162, 6451, 7903, 2941, 1692, 2628, 1114, 187, 4638, 10161, 2430, 2386, 1120, 9180, 1186, 118, 170, 27361, 4841, 24796, 1891, 117, 1134, 1231, 1403, 18089, 1170, 1103, 13467, 2635, 119, 170, 5117, 118, 1214, 118, 1385, 1590, 2756, 1114, 4962, 5199, 16320, 1107, 1123, 1286, 184, 19557, 18965, 1348, 1298, 1114, 173, 6834, 1643, 25362, 119, 170, 8087, 8179, 1104, 1103, 5351, 112, 188, 1892, 3090, 1185, 9495, 22832, 1785, 1107, 26289, 1104, 24970, 117, 1133, 1344, 118, 189, 19385, 1104, 187, 4638, 10161, 2430, 2386, 5318, 113, 4573, 119, 130, 178, 1358, 120, 182, 1233, 114, 119, 1978, 1808, 2403, 1196, 5807, 1106, 1412, 2853, 117, 1131, 6488, 3575, 182, 2047, 1496, 1106, 4962, 2035, 1104, 5199, 16320, 1113, 1286, 184, 19557, 18965, 1348, 1298, 117, 1134, 3090, 1664, 118, 2747, 8241, 1988, 2589, 187, 4638, 10161, 2430, 2386, 13316, 9299, 1114, 1353, 3073, 12986, 15581, 4412, 172, 6834, 1204, 1104, 172, 1475, 118, 123, 6698, 113, 20497, 1403, 119, 117, 1175, 1108, 170, 1415, 23123, 1766, 1197, 2328, 11007, 172, 6834, 2941, 3367, 1213, 3073, 12986, 15581, 4412, 2000, 1104, 1103, 1120, 9180, 1186, 118, 170, 27361, 4091, 1113, 1103, 1286, 1334, 117, 184, 4832, 23055, 1158, 1103, 9468, 7301, 20695, 15023, 2176, 1348, 19421, 1113, 172, 1200, 15901, 1348, 182, 2047, 113, 20497, 1403, 119, 1103, 172, 6834, 2941, 3367, 1108, 3387, 1106, 1120, 9180, 1186, 118, 170, 27361, 4091, 21749, 1113, 170, 27361, 2458, 1104, 3254, 18505, 1106, 3702, 8944, 113, 172, 1204, 114, 119, 2967, 26647, 15251, 117, 187, 4638, 10161, 2430, 2386, 1120, 9180, 1186, 118, 170, 27361, 20482, 1259, 1286, 9766, 172, 1475, 118, 123, 4841, 24796, 1891, 1105, 172, 23851, 1348, 9943, 1127, 7160, 119, 1105, 1175, 1127, 2445, 1104, 7692, 11776, 1105, 1231, 8005, 7276, 22063, 1107, 172, 124, 118, 125, 117, 125, 118, 126, 113, 20497, 1403, 119, 124, 114, 119, 1107, 1103, 1148, 2805, 2016, 117, 6103, 5351, 112, 188, 173, 6834, 1643, 25362, 117, 1112, 22631, 1104, 1103, 172, 6834, 2941, 8241, 1988, 1108, 1982, 2258, 14715, 17536, 3136, 1114, 184, 2430, 18480, 18255, 6360, 10690, 113, 20497, 1403, 119, 1170, 121, 119, 126, 3975, 118, 6956, 182, 21977, 9275, 1233, 1107, 16073, 1113, 1286, 1334, 1137, 4184, 7111, 5730, 2176, 1348, 2095, 117, 25399, 2578, 1104, 1103, 172, 6834, 1204, 1108, 7293, 1118, 2049, 3491, 1105, 2856, 1118, 28117, 5796, 5537, 119, 1107, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 188, 5730, 3292, 2916, 172, 6834, 1204, 1113, 3073, 12986, 15581, 4412, 2000, 1104, 172, 1475, 118, 123, 4091, 1110, 4054, 1133, 1336, 1129, 2628, 23123, 1766, 1197, 2328, 11007, 1856, 119, 1195, 5594, 170, 1692, 1104, 170, 5117, 118, 1214, 118, 1385, 1590, 1150, 2756, 1114, 4962, 5199, 16320, 1107, 1123, 1286, 184, 19557, 18965, 1348, 1298, 1114, 173, 6834, 1643, 25362, 119, 1131, 1125, 187, 4638, 10161, 2430, 2386, 1893, 8167, 10721, 1111, 1489, 118, 1201, 119, 1415, 23123, 1766, 1197, 2328, 11007, 172, 6834, 2941, 3367, 1108, 1562, 1213, 3073, 12986, 15581, 4412, 2000, 1104, 1103, 1120, 9180, 12985, 27361, 4091, 1113, 1103, 1286, 1334, 1113, 172, 1200, 15901, 1348, 182, 2047, 113, 8364, 20370, 3077, 114, 1105, 1122, 184, 4832, 23055, 1174, 102 ]
[ 101, 1899, 3822, 4063, 1144, 1103, 3209, 1106, 1129, 1126, 7856, 4251, 1111, 2904, 1899, 3822, 4063, 4251, 3652, 113, 173, 1306, 2087, 6063, 114, 1114, 1242, 4683, 7032, 1121, 1353, 15139, 5197, 1106, 1415, 19255, 1540, 3546, 119, 1649, 117, 1141, 1558, 4506, 1115, 173, 1306, 2087, 1665, 1110, 4749, 1110, 1103, 175, 20484, 13378, 1104, 1103, 5250, 1633, 3670, 10936, 1134, 1110, 1304, 4240, 1107, 170, 173, 1306, 2087, 1665, 119, 1103, 15830, 1110, 3417, 1750, 1190, 1620, 182, 119, 170, 4296, 8672, 1137, 23912, 1180, 8693, 1103, 2006, 4251, 2765, 119, 14469, 1596, 6161, 1116, 113, 14596, 1116, 114, 1169, 1129, 170, 5627, 1104, 1103, 7228, 5250, 1633, 3670, 10936, 1106, 9414, 1103, 3187, 1104, 175, 20484, 13378, 119, 1215, 1112, 1103, 24266, 1193, 1566, 117, 14469, 1596, 6161, 1116, 10192, 1242, 13300, 1216, 1112, 1344, 14469, 1596, 5880, 6366, 117, 5297, 9397, 117, 1105, 4789, 1106, 1344, 4143, 119, 1103, 1954, 3964, 14469, 1596, 6161, 1116, 1132, 6111, 1256, 1107, 1103, 3750, 1104, 15164, 1105, 1586, 117, 1543, 1172, 7891, 1111, 1704, 1329, 1112, 24266, 16710, 2394, 164, 124, 117, 125, 166, 119, 1107, 4297, 14596, 118, 1359, 173, 1306, 2087, 1665, 117, 1103, 6256, 1104, 1899, 3822, 4063, 1538, 1129, 4013, 1105, 19232, 1120, 1317, 4541, 131, 1103, 4251, 4877, 117, 1103, 24266, 1193, 1566, 117, 1103, 24266, 2007, 5839, 117, 1105, 1177, 5275, 119, 1122, 1110, 3607, 1106, 3689, 170, 2698, 16986, 5531, 1111, 1899, 3822, 4063, 1107, 1103, 3750, 1104, 14469, 1596, 6161, 1116, 119, 1107, 1142, 2526, 1103, 5531, 1110, 1359, 1113, 3209, 2585, 3622, 1105, 1110, 10682, 1256, 1165, 1447, 1110, 1675, 1107, 1103, 14469, 1596, 6161, 1116, 119, 13558, 1105, 24266, 4704, 1127, 3310, 2626, 1121, 1103, 9263, 1137, 1121, 1396, 24373, 1216, 1112, 3489, 1200, 3812, 1105, 191, 2246, 1197, 131, 122, 118, 1133, 7777, 118, 124, 118, 1899, 18873, 4060, 6859, 6112, 14635, 21359, 4487, 2087, 7535, 14824, 12207, 2193, 113, 171, 2225, 2087, 3068, 117, 5103, 110, 114, 1121, 2393, 27168, 1324, 117, 1899, 3822, 4063, 113, 1231, 2553, 2227, 3654, 170, 6063, 114, 1121, 185, 7111, 1306, 2528, 118, 170, 19655, 117, 19273, 20232, 21718, 2568, 113, 1512, 1775, 114, 1121, 1103, 9019, 1186, 3812, 117, 181, 113, 116, 114, 118, 1112, 19248, 15421, 5190, 113, 4850, 110, 114, 1121, 170, 1665, 5864, 117, 21177, 21359, 4487, 1732, 10885, 4184, 16236, 14248, 113, 25550, 114, 5103, 110, 1121, 2393, 27168, 1324, 117, 20450, 1596, 5190, 123, 119, 121, 183, 1121, 8074, 4386, 1306, 117, 1105, 2284, 10437, 24266, 2007, 113, 123, 2608, 4267, 1161, 119, 114, 1121, 22572, 5349, 119, 122, 118, 1133, 7777, 118, 124, 118, 1899, 18873, 4060, 6859, 6112, 14635, 21359, 4487, 2087, 7535, 14824, 12207, 2193, 113, 171, 3080, 12913, 2087, 1527, 114, 1110, 1141, 1104, 170, 1374, 14469, 1596, 6161, 1116, 1114, 3860, 1353, 191, 21097, 13730, 117, 1133, 1122, 1110, 1253, 1304, 191, 21097, 1361, 1165, 3402, 1106, 170, 3530, 2285, 7995, 119, 1103, 2915, 1104, 8332, 2971, 1104, 1750, 191, 21097, 1361, 1899, 3822, 4063, 1336, 4851, 1103, 191, 21097, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1103, 1718, 1104, 2904, 1899, 3822, 4063, 4251, 3652, 2320, 1103, 2209, 1106, 1103, 24266, 1193, 1566, 119, 170, 1363, 24266, 1193, 1566, 1431, 1136, 1178, 1129, 14469, 1596, 5880, 2109, 1133, 1145, 1129, 18847, 13676, 119, 14469, 1596, 6161, 1116, 1180, 1129, 170, 10480, 24266, 1193, 1566, 1111, 4251, 3652, 119, 9437, 1899, 3822, 4063, 1108, 3607, 1107, 1317, 4541, 1107, 170, 2904, 1899, 3822, 4063, 4251, 2765, 119, 5880, 6366, 1180, 1129, 1215, 1106, 8804, 1103, 1899, 3822, 4063, 3438, 1107, 14469, 1596, 6161, 1116, 119, 1103, 5880, 6366, 1104, 122, 118, 1133, 7777, 118, 124, 118, 1899, 18873, 4060, 6859, 6112, 14635, 21359, 4487, 2087, 7535, 14824, 12207, 2193, 1125, 170, 7378, 2398, 1114, 1103, 1899, 3822, 4063, 6256, 119, 1649, 117, 1103, 102 ]
[ 101, 174, 18965, 18809, 2916, 19863, 5326, 7904, 113, 9712, 114, 1110, 1103, 2026, 1404, 7918, 16126, 1242, 11932, 1107, 1103, 1769, 1404, 119, 1107, 1103, 1107, 13053, 2042, 117, 9712, 2790, 3636, 1106, 1103, 4422, 1404, 1121, 12844, 1105, 20342, 5789, 1229, 1120, 1103, 1269, 1159, 1122, 11000, 1116, 18099, 1104, 11902, 24732, 2094, 1105, 1447, 1121, 1103, 9691, 119, 174, 18965, 18809, 2916, 19863, 5326, 7904, 12363, 1105, 18311, 18091, 3936, 1132, 1103, 1696, 1956, 1115, 1169, 1129, 4921, 1105, 4441, 1114, 1103, 1494, 1104, 174, 18965, 18809, 2916, 9391, 3053, 119, 174, 18965, 18809, 2916, 3652, 1132, 3387, 1114, 1296, 1168, 1118, 1300, 3322, 1104, 6698, 1116, 117, 1115, 1110, 117, 3532, 11828, 6758, 1116, 117, 7275, 6698, 1116, 117, 8050, 12807, 2316, 6698, 1116, 117, 1105, 189, 3361, 1116, 164, 1572, 166, 119, 3600, 6698, 1116, 1132, 24034, 1200, 3263, 1895, 1105, 1654, 1103, 2230, 1104, 10799, 1105, 17146, 2258, 170, 18311, 18091, 13548, 119, 1235, 3055, 117, 3600, 6698, 4226, 1127, 22429, 1112, 8617, 1112, 1152, 2767, 1103, 170, 15328, 1105, 171, 2225, 14995, 4412, 2765, 2473, 5777, 13682, 2765, 15281, 1785, 1137, 170, 9391, 1496, 1106, 1147, 1654, 1166, 1177, 25937, 1279, 1105, 6161, 4235, 1194, 1103, 18311, 18091, 2000, 1206, 1103, 174, 18965, 18809, 2916, 3652, 164, 4650, 166, 119, 1649, 189, 3361, 1116, 1132, 1136, 7458, 1106, 1103, 8617, 1105, 9391, 3053, 1133, 1138, 1151, 3393, 1106, 4868, 1107, 4344, 14715, 11243, 5669, 117, 5565, 2838, 117, 2765, 23766, 117, 1105, 23510, 164, 21787, 166, 119, 1672, 23734, 6298, 1105, 4422, 27335, 1116, 24034, 8341, 1103, 2999, 3053, 1104, 189, 3361, 1116, 3989, 2445, 1104, 1447, 1105, 1177, 25937, 1162, 1107, 1103, 14403, 4758, 1115, 4501, 1106, 19299, 1183, 118, 24256, 1447, 1183, 4267, 1813, 1197, 13836, 119, 3600, 6698, 113, 189, 3361, 114, 1110, 170, 2703, 2401, 14255, 23346, 1104, 2898, 2849, 1104, 5644, 117, 1259, 10226, 10936, 7865, 113, 172, 15554, 7126, 1116, 117, 184, 19515, 7535, 7126, 117, 1105, 6698, 1348, 8050, 23746, 10799, 17462, 1116, 114, 1105, 17963, 10936, 7865, 119, 1103, 17963, 10936, 7865, 1511, 113, 122, 114, 188, 2599, 3101, 11015, 185, 1181, 1584, 113, 8345, 21880, 8956, 3476, 4592, 113, 15604, 1181, 1580, 1571, 114, 117, 173, 5864, 4184, 20473, 1161, 17973, 1415, 14601, 17203, 1766, 113, 173, 1233, 1403, 1475, 114, 117, 1105, 195, 1320, 5886, 184, 19515, 12906, 2316, 118, 122, 4592, 113, 195, 1186, 118, 122, 114, 114, 117, 4321, 118, 185, 1181, 1584, 5777, 4592, 118, 122, 113, 182, 4455, 1643, 118, 122, 114, 117, 1105, 10936, 118, 2628, 176, 8734, 22948, 1566, 24779, 113, 12477, 5389, 118, 122, 114, 132, 113, 123, 114, 1185, 118, 185, 1181, 1584, 14819, 7865, 1216, 1112, 172, 1158, 19001, 117, 188, 17162, 7136, 4314, 117, 1120, 1183, 15328, 4592, 24779, 172, 117, 187, 2225, 118, 2272, 4592, 187, 6639, 118, 124, 1830, 113, 187, 6639, 118, 124, 1830, 114, 117, 187, 2225, 118, 2272, 4592, 187, 6639, 118, 1492, 113, 187, 6639, 118, 1492, 114, 117, 185, 15342, 20695, 25347, 1105, 17265, 1394, 16358, 3702, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1769, 3245, 8005, 10879, 2556, 14196, 14441, 1110, 2262, 1118, 170, 19863, 5326, 7904, 1104, 7623, 174, 18965, 18809, 2916, 3652, 1115, 12500, 170, 9760, 9391, 2473, 1106, 6298, 12844, 1105, 20342, 5789, 1373, 1114, 25158, 1105, 11902, 23536, 4226, 119, 9455, 18091, 6698, 1116, 117, 1621, 174, 18965, 18809, 2916, 3652, 117, 1216, 1112, 3532, 11828, 6758, 1116, 117, 8050, 12807, 2316, 117, 7275, 117, 1105, 3600, 6698, 1116, 113, 189, 3361, 1116, 114, 117, 1136, 1178, 2194, 6676, 12363, 1133, 1145, 5310, 2230, 1104, 10799, 1506, 1103, 19863, 5326, 7904, 119, 189, 3361, 1110, 170, 2703, 2401, 2766, 1104, 2324, 2588, 1472, 7865, 1115, 12254, 1114, 1296, 1168, 1120, 1103, 170, 15328, 1334, 1104, 1160, 4903, 174, 18965, 18809, 2916, 3652, 119, 172, 15554, 102 ]
[ 101, 3850, 10645, 11911, 3773, 113, 4267, 2646, 114, 1110, 170, 1558, 2486, 4529, 117, 1241, 1111, 4420, 1105, 2332, 12263, 119, 1122, 1110, 1141, 1104, 1103, 2425, 4680, 1111, 1120, 19091, 2116, 1219, 7300, 1105, 3073, 1665, 21472, 7867, 2527, 1105, 1103, 1514, 2255, 1111, 3850, 10602, 1121, 1103, 2319, 119, 4267, 2646, 1110, 3233, 1154, 3322, 117, 113, 178, 114, 1119, 4163, 2430, 18091, 117, 113, 25550, 114, 22572, 9016, 27372, 117, 1137, 113, 25550, 1182, 114, 3216, 113, 1119, 4163, 2430, 18091, 1105, 22572, 9016, 27372, 114, 117, 2452, 1106, 1103, 2076, 1104, 11911, 3290, 1105, 1103, 7300, 8117, 25128, 8519, 1200, 18651, 119, 1103, 22572, 9016, 27372, 1105, 3216, 1119, 4163, 2430, 18091, 1105, 22572, 9016, 27372, 2076, 1132, 1103, 1160, 1211, 5199, 23487, 6006, 1104, 4267, 2646, 1105, 10972, 1593, 1544, 1104, 1103, 1802, 2740, 1104, 4267, 2646, 119, 22572, 9016, 27372, 11911, 3773, 117, 1137, 1167, 2566, 22572, 9016, 8419, 4863, 117, 1110, 1103, 23730, 1104, 1103, 16516, 1513, 4235, 117, 1134, 1547, 1129, 1719, 1496, 1106, 16516, 4567, 1616, 14441, 184, 4832, 17993, 1137, 1106, 13522, 1107, 16516, 1513, 5190, 1146, 13482, 119, 1229, 1103, 1143, 18546, 5562, 3142, 1111, 1119, 4163, 2430, 18091, 4267, 2646, 1110, 1253, 170, 8069, 1111, 1103, 2656, 1104, 1103, 2740, 117, 1167, 3044, 5903, 1111, 22572, 9016, 27372, 4267, 2646, 119, 1175, 1110, 2898, 2554, 1111, 170, 6047, 2971, 1104, 22572, 9016, 8419, 4863, 2740, 10473, 7587, 1158, 1103, 1696, 1648, 1104, 1119, 4163, 2941, 3936, 1468, 119, 171, 2225, 14995, 4412, 3936, 1468, 1132, 2784, 1111, 1103, 1146, 13482, 1104, 5557, 1105, 1168, 1322, 12809, 26423, 4724, 1105, 193, 26601, 25523, 1121, 1103, 1892, 117, 1107, 2087, 19224, 16368, 1103, 7401, 1104, 1103, 1119, 4163, 2430, 3457, 1566, 1106, 3209, 3290, 119, 7684, 20899, 3936, 1468, 16146, 1103, 1119, 4163, 2941, 16443, 117, 1112, 1218, 1112, 1103, 3318, 1988, 1104, 16516, 1513, 27379, 1105, 16516, 1513, 14255, 9380, 4948, 1116, 1154, 16516, 1513, 119, 1251, 19019, 1104, 1103, 3936, 1468, 23292, 3053, 1336, 1871, 1107, 1103, 23168, 1104, 9046, 19403, 16516, 1513, 2982, 1115, 1169, 1921, 2612, 22572, 9016, 8419, 4863, 119, 2482, 122, 2790, 1126, 24431, 1113, 1103, 7514, 2450, 1104, 1119, 4163, 2430, 3457, 1566, 3936, 1468, 119, 2221, 9282, 4248, 2871, 1103, 7684, 20899, 3936, 1468, 117, 1105, 1894, 9282, 117, 1103, 171, 2225, 14995, 4412, 3200, 119, 182, 15615, 16229, 4321, 23632, 9610, 4789, 118, 2628, 7865, 1479, 117, 184, 2050, 120, 184, 2050, 7878, 1177, 25937, 1162, 3936, 1200, 117, 171, 2217, 1643, 16516, 1513, 6870, 10107, 11188, 117, 171, 1665, 15615, 7209, 4182, 4789, 4592, 117, 6642, 1475, 4321, 23632, 9610, 1105, 1106, 16594, 4252, 22097, 3936, 1200, 122, 117, 170, 1830, 1665, 1403, 1571, 120, 176, 1604, 1120, 1643, 118, 7861, 16820, 11548, 176, 1420, 126, 120, 129, 117, 182, 23632, 1495, 4321, 23632, 9610, 4789, 4592, 124, 117, 185, 118, 176, 1643, 185, 118, 176, 1193, 2528, 1643, 21020, 1394, 117, 1120, 1643, 1604, 1830, 1475, 1120, 22939, 1162, 118, 13736, 7880, 2155, 7880, 11014, 25786, 3936, 1200, 117, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 22572, 9016, 8419, 4863, 5149, 1141, 1149, 1104, 1210, 3322, 1104, 3850, 10645, 11911, 3773, 113, 4267, 2646, 114, 117, 1134, 8302, 170, 1558, 4506, 1107, 3850, 1718, 119, 1107, 1142, 2025, 1195, 3666, 170, 1160, 118, 1705, 5393, 5471, 1359, 1113, 180, 118, 6830, 11209, 1107, 1546, 1106, 17163, 22572, 9016, 8419, 4863, 117, 1606, 170, 1383, 1104, 5429, 1160, 118, 8611, 113, 25712, 114, 185, 7889, 5053, 2528, 16710, 3532, 13590, 3864, 1105, 23770, 1104, 2700, 1119, 4163, 2941, 3936, 1468, 1107, 16485, 113, 171, 2217, 1643, 117, 171, 1665, 15615, 117, 185, 118, 176, 1643, 117, 184, 2980, 1643, 1475, 1830, 1475, 117, 1105, 184, 2980, 1643, 1475, 1830, 1495, 114, 119, 1107, 1546, 1106, 15187, 1103, 3209, 6436, 1104, 3936, 1200, 1107, 102 ]
[ 101, 1142, 1108, 170, 2702, 118, 7198, 7091, 2200, 5504, 1174, 3443, 3303, 1120, 5692, 3911, 1107, 1103, 190, 119, 188, 119, 1105, 1565, 3911, 1107, 23609, 7340, 1186, 187, 10658, 113, 183, 5822, 7629, 1545, 1580, 1604, 22737, 1568, 114, 119, 1103, 2025, 4227, 1104, 1421, 6461, 131, 11954, 117, 1899, 13199, 1394, 13753, 19428, 15100, 117, 1489, 118, 1285, 1282, 4043, 1423, 118, 7198, 1576, 118, 1107, 117, 1367, 118, 1989, 2702, 118, 7198, 3252, 117, 1105, 124, 118, 1989, 1228, 118, 3252, 2812, 118, 1146, 119, 1103, 2025, 1108, 3303, 23609, 1733, 27280, 1106, 1103, 11156, 1104, 1119, 3447, 10223, 1182, 1105, 1108, 4092, 1118, 15040, 3189, 8190, 1120, 7828, 3911, 119, 4420, 2136, 6189, 9635, 1196, 11954, 119, 4420, 113, 6932, 1201, 114, 1114, 2076, 123, 17972, 117, 170, 171, 3080, 1206, 1512, 1105, 2532, 4023, 120, 182, 117, 1105, 170, 1475, 1665, 1206, 5729, 1475, 110, 1229, 1781, 1899, 13199, 1394, 19863, 20939, 1120, 170, 6111, 13753, 1111, 1275, 2277, 1127, 7408, 119, 18434, 9173, 1529, 170, 2657, 1607, 1104, 11759, 5336, 176, 7535, 2528, 19248, 2941, 7874, 117, 10956, 13335, 12148, 10658, 2386, 117, 1137, 1105, 26767, 10116, 132, 170, 1607, 1104, 2076, 122, 17972, 1137, 3718, 2769, 1104, 17972, 132, 2166, 26825, 7606, 132, 189, 17305, 1193, 14840, 8959, 135, 2260, 17713, 120, 173, 1233, 132, 1105, 3252, 1114, 1251, 9619, 117, 27410, 117, 8366, 1348, 117, 1137, 16957, 176, 7535, 2528, 19248, 2941, 18093, 117, 24438, 1465, 6112, 17299, 9044, 23997, 1116, 117, 1137, 4252, 7076, 23767, 1439, 124, 1808, 1104, 11954, 119, 1185, 10838, 9173, 1127, 9467, 1111, 22572, 9016, 4648, 4063, 1137, 1892, 2997, 1105, 4420, 1180, 3873, 1103, 2025, 1113, 113, 1105, 4731, 114, 1251, 177, 1183, 23311, 25786, 5521, 1596, 1137, 2848, 7889, 17786, 5026, 2109, 6716, 1179, 119, 4420, 1127, 7091, 2200, 7808, 1106, 1517, 118, 3828, 1107, 1665, 1830, 17668, 1559, 24786, 113, 126, 117, 1405, 117, 1851, 117, 1620, 117, 1137, 2363, 17713, 114, 1137, 1282, 4043, 119, 13753, 4557, 1108, 1359, 1113, 4065, 122, 185, 7111, 1918, 2528, 4314, 9265, 1105, 185, 7111, 1918, 2528, 24662, 2233, 117, 1114, 1103, 2273, 1104, 27698, 6716, 2316, 1115, 5515, 1472, 4842, 1104, 1107, 16485, 117, 1121, 133, 1851, 1106, 135, 3078, 110, 117, 1114, 1103, 9355, 1104, 1107, 16485, 9507, 1506, 1103, 1421, 13753, 3001, 119, 4420, 1114, 170, 2698, 1158, 13441, 20636, 113, 175, 1643, 1403, 114, 135, 14162, 17713, 120, 173, 1233, 1194, 1989, 129, 1137, 135, 11202, 17713, 120, 173, 1233, 2886, 1127, 8779, 1105, 2356, 5431, 7606, 119, 1103, 2425, 1322, 1827, 1127, 1103, 1849, 1121, 2259, 2568, 1106, 1989, 1367, 3402, 1114, 1282, 4043, 1107, 170, 1475, 1665, 117, 3429, 117, 1105, 1106, 2879, 6328, 119, 3718, 1322, 1827, 1529, 1103, 1849, 1121, 2259, 2568, 1106, 1989, 1367, 3402, 1114, 1282, 4043, 1107, 175, 1643, 1403, 1105, 4764, 2386, 21138, 1105, 1103, 10807, 1104, 4420, 11190, 1126, 170, 1475, 1665, 128, 110, 1120, 1989, 1367, 119, 16371, 1322, 1827, 1529, 1103, 1849, 1121, 2259, 2568, 1107, 1313, 15540, 14229, 2235, 8670, 26825, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 14541, 118, 118, 177, 19694, 16844, 4648, 7874, 1260, 7889, 23632, 19790, 6530, 2076, 122, 113, 1429, 9524, 1181, 1475, 114, 22042, 18040, 1884, 3740, 7614, 1162, 1154, 2327, 1884, 3740, 1548, 4063, 117, 8267, 1821, 1643, 22881, 1158, 1107, 4487, 18091, 176, 7535, 2528, 19248, 2941, 7874, 2168, 119, 1103, 23891, 1105, 3429, 1104, 1103, 1429, 9524, 1181, 1475, 27558, 1107, 1665, 1830, 17668, 1559, 24786, 1127, 14758, 1165, 1896, 1106, 7173, 1899, 13199, 1394, 19863, 20939, 1107, 4420, 1114, 2076, 123, 17972, 25988, 15694, 176, 1193, 2093, 7257, 1654, 113, 170, 1475, 1665, 5729, 1475, 110, 114, 119, 1844, 1902, 1105, 4069, 14298, 1116, 2702, 118, 7198, 1282, 4043, 118, 4013, 5504, 1174, 2025, 7091, 2200, 24412, 4420, 1114, 2076, 123, 17972, 113, 102 ]
[ 101, 1649, 117, 1122, 1110, 10527, 2480, 1106, 3870, 1231, 19807, 1891, 1107, 1112, 17162, 6451, 7903, 2941, 4420, 1114, 1822, 14715, 1643, 5864, 10681, 2941, 19848, 119, 2108, 117, 1107, 4420, 1114, 15941, 1286, 21828, 4907, 5552, 3053, 117, 1122, 1110, 1696, 1106, 172, 5815, 6120, 1134, 1103, 1514, 2612, 1104, 1286, 21828, 4907, 5552, 173, 6834, 26420, 1110, 8649, 11727, 1260, 2083, 18472, 1891, 1137, 1168, 5320, 1216, 1112, 3621, 2660, 4527, 4184, 23610, 119, 1142, 1692, 1110, 170, 5603, 118, 1214, 118, 1385, 2581, 1150, 9315, 170, 12148, 1596, 11727, 5627, 1114, 170, 1695, 2608, 1610, 22083, 2852, 118, 5048, 5984, 1116, 1679, 12013, 8355, 1679, 4578, 16936, 1348, 25128, 1643, 5864, 10681, 4863, 113, 5048, 5984, 1116, 1297, 22274, 1116, 117, 178, 22466, 1162, 117, 11019, 117, 1366, 1161, 114, 1111, 170, 12148, 1596, 11727, 188, 5208, 11776, 128, 1201, 2403, 1120, 1330, 2704, 119, 26600, 21718, 19878, 7874, 11776, 1108, 11534, 1107, 1117, 1851, 1116, 117, 1105, 17688, 21718, 19878, 7874, 11776, 1108, 11534, 1118, 170, 1139, 13335, 2881, 2916, 25128, 12685, 1120, 1103, 1159, 1104, 1103, 2166, 17688, 6059, 119, 1119, 1125, 170, 1763, 1607, 1104, 21153, 16219, 4182, 117, 1105, 1117, 21153, 16219, 1116, 1105, 18311, 15644, 16219, 1116, 1127, 1231, 26338, 1174, 1120, 1103, 1425, 1104, 2532, 117, 1105, 1173, 1170, 1115, 117, 1119, 1125, 1151, 17421, 1114, 5837, 6005, 15644, 2180, 16594, 1162, 1105, 2393, 8057, 7867, 16388, 4063, 119, 1103, 16278, 10542, 2660, 8944, 127, 1201, 1170, 1103, 2166, 2805, 2799, 170, 2999, 2280, 1104, 1117, 5250, 2050, 22063, 1114, 1126, 3903, 1137, 26718, 1298, 7448, 1104, 121, 119, 5073, 3975, 120, 182, 117, 170, 1928, 2997, 19848, 1104, 1405, 2608, 1324, 1403, 117, 1105, 21461, 3549, 1286, 21828, 4907, 5552, 3053, 1114, 1126, 174, 26857, 13394, 1104, 3887, 110, 119, 1780, 1119, 1108, 1112, 17162, 6451, 7903, 2941, 117, 1117, 14715, 1582, 6533, 6617, 1665, 16278, 10542, 2660, 8944, 122, 1214, 1224, 3090, 1103, 7458, 4018, 1104, 1103, 5250, 2050, 18994, 11727, 7404, 9585, 117, 1114, 1126, 3903, 1137, 26718, 1298, 7448, 1104, 121, 119, 1743, 3975, 120, 182, 1105, 170, 1928, 2997, 19848, 1104, 1743, 2608, 1324, 1403, 119, 1122, 1145, 3090, 15941, 1286, 21828, 4907, 5552, 3053, 1114, 1126, 174, 26857, 13394, 1104, 3413, 110, 117, 8828, 26410, 4412, 22233, 9435, 23864, 117, 1105, 5199, 189, 4907, 1361, 25786, 22233, 9435, 23864, 119, 6103, 3254, 17482, 5382, 1346, 1260, 2083, 18472, 1891, 1104, 1117, 25128, 1643, 5864, 10681, 4863, 11727, 1105, 1286, 21828, 4907, 5552, 3053, 117, 1195, 1879, 1106, 3870, 170, 1202, 16442, 19577, 6600, 16278, 10542, 2660, 8944, 1106, 23159, 8649, 11727, 1260, 2083, 18472, 1891, 1121, 23563, 118, 170, 12148, 1596, 188, 5208, 11776, 1496, 1106, 17688, 21718, 19878, 7874, 11776, 119, 1120, 1103, 2259, 2568, 117, 1103, 170, 12148, 1596, 11727, 4709, 10537, 1105, 1103, 6625, 3884, 7448, 1127, 124, 119, 129, 182, 120, 188, 1105, 1955, 182, 1233, 120, 182, 119, 1120, 170, 13753, 1104, 1275, 176, 120, 4023, 120, 11241, 1104, 1202, 16442, 19577, 1107, 17149, 117, 1152, 2569, 1106, 125, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1195, 2592, 170, 1692, 1104, 8649, 11727, 1260, 2083, 18472, 1891, 117, 1134, 3296, 128, 1201, 1170, 170, 12148, 1596, 11727, 5627, 1107, 170, 5603, 118, 1214, 118, 1385, 2581, 1114, 17688, 21718, 19878, 7874, 11776, 119, 1117, 16278, 10542, 2660, 8944, 2799, 1822, 14715, 1643, 5864, 10681, 2941, 11727, 19848, 1105, 15941, 1286, 21828, 4907, 5552, 3053, 119, 170, 1202, 16442, 19577, 6600, 16278, 10542, 2660, 8944, 1108, 1982, 1106, 6183, 1117, 3507, 4184, 7889, 23652, 6360, 117, 1105, 1122, 3090, 1115, 1117, 15941, 1286, 21828, 4907, 5552, 3053, 1108, 1136, 1496, 1106, 17688, 21718, 19878, 7874, 11776, 1133, 1106, 8649, 11727, 1260, 2083, 18472, 1891, 119, 1231, 19807, 1891, 1111, 8649, 11727, 1260, 2083, 18472, 1891, 1108, 1982, 117, 1105, 1117, 1286, 21828, 4907, 102 ]
[ 101, 1669, 9921, 10721, 1110, 170, 13306, 22653, 3653, 1104, 4374, 14749, 1104, 1103, 3307, 1107, 2593, 1106, 1185, 25459, 25003, 2480, 6676, 117, 5297, 1137, 20342, 117, 3694, 1107, 8706, 5915, 1104, 1669, 9921, 1348, 16486, 117, 7544, 2020, 1106, 4480, 3855, 117, 23780, 1137, 1241, 119, 1103, 7918, 5915, 1107, 1669, 9921, 10721, 1144, 1151, 6547, 1106, 1103, 1707, 1104, 17664, 1105, 26844, 7621, 1530, 113, 187, 2155, 114, 1118, 185, 23415, 26271, 21250, 21977, 19094, 1197, 3652, 1105, 1168, 3652, 119, 1122, 1144, 1151, 7160, 1115, 4420, 1114, 1669, 9921, 10721, 1138, 2299, 184, 8745, 1810, 3946, 173, 1605, 1105, 4764, 2386, 3290, 25128, 8519, 1468, 1105, 2211, 2848, 10649, 6859, 2227, 113, 170, 1186, 114, 4035, 6482, 10734, 2619, 1107, 21718, 24186, 1190, 8071, 5174, 119, 1175, 1132, 170, 2783, 1104, 3948, 10748, 1107, 1103, 1404, 1106, 4127, 12177, 187, 2155, 1707, 117, 1105, 170, 2155, 1132, 1141, 1621, 1292, 119, 170, 2155, 1132, 1343, 15804, 1165, 1675, 1120, 170, 1822, 6256, 3402, 1106, 1343, 1104, 1126, 184, 8745, 3309, 22505, 17498, 5409, 15308, 1137, 17356, 22256, 1104, 1103, 17498, 119, 7688, 22040, 1105, 9986, 1679, 22040, 1132, 1103, 1514, 184, 8745, 1810, 3946, 1530, 1666, 117, 1134, 1132, 1719, 4035, 6482, 26128, 1193, 5802, 1118, 3843, 2109, 170, 2155, 117, 1137, 2720, 17146, 1132, 14516, 16437, 5894, 117, 7544, 10878, 175, 3452, 1320, 9535, 1105, 4194, 177, 19694, 16844, 1233, 8276, 3855, 174, 119, 176, 119, 5855, 5971, 2217, 117, 176, 25937, 9779, 23997, 113, 176, 2737, 114, 1679, 10649, 23358, 1162, 117, 128, 188, 118, 4036, 6530, 119, 19231, 6808, 188, 2599, 7912, 3375, 120, 4129, 4440, 170, 2155, 1134, 1107, 23034, 4129, 21252, 117, 4129, 25934, 1105, 1145, 4764, 2386, 1679, 10649, 6859, 2116, 174, 119, 176, 119, 4764, 4184, 20473, 1596, 15804, 1216, 1112, 190, 5567, 12934, 4063, 117, 23971, 170, 117, 23971, 174, 117, 1610, 11860, 2728, 7540, 1105, 177, 19694, 27008, 8031, 15804, 1176, 190, 4907, 5190, 117, 1112, 19248, 15421, 5190, 117, 1312, 1394, 117, 1105, 16516, 2646, 5082, 7939, 119, 1120, 6949, 1634, 1672, 170, 2155, 3053, 1118, 6949, 1158, 1103, 4938, 1105, 1231, 7235, 23346, 10936, 1116, 119, 1165, 1103, 1634, 1104, 187, 2155, 6986, 1107, 4487, 18091, 1193, 117, 1103, 14391, 170, 1186, 14192, 1132, 14733, 1106, 4731, 1292, 19403, 10799, 117, 1142, 3879, 1110, 2412, 2752, 1106, 1112, 184, 8745, 1810, 3946, 6600, 119, 1103, 3400, 1104, 184, 8745, 1810, 3946, 6600, 4595, 1171, 1106, 2177, 1105, 1108, 9427, 1181, 1112, 1103, 6796, 1206, 1714, 8276, 1116, 1105, 3653, 119, 176, 2737, 1110, 170, 190, 5567, 21594, 1361, 3868, 27105, 1189, 1121, 1103, 4612, 1104, 1210, 13736, 13087, 117, 1115, 1110, 117, 172, 6834, 7242, 1162, 117, 176, 25937, 7363, 1566, 117, 1105, 176, 1193, 15459, 119, 1122, 1110, 170, 1822, 9546, 2841, 24438, 19840, 113, 1146, 1106, 26177, 2608, 114, 1675, 1107, 1103, 2765, 1105, 3685, 1107, 1160, 2769, 1134, 1132, 184, 8745, 26332, 176, 25937, 9779, 23997, 113, 176, 3954, 1403, 114, 1105, 3549, 176, 2737, 2769, 119, 1149, 1104, 1103, 1703, 176, 2737, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 7649, 131, 1106, 14133, 1103, 3001, 1104, 176, 25937, 9779, 23997, 113, 176, 2737, 114, 117, 1241, 184, 8745, 26332, 1105, 3549, 2769, 1107, 4420, 1114, 1105, 1443, 13306, 1669, 9921, 10721, 1107, 176, 1158, 15895, 172, 1874, 15901, 5552, 8240, 113, 176, 1665, 2087, 114, 119, 3881, 1105, 4069, 131, 2570, 176, 1665, 2087, 8025, 1121, 12477, 8745, 12576, 1183, 186, 18413, 18937, 1127, 4465, 1606, 6707, 5878, 1616, 17599, 27871, 20161, 1121, 1103, 13306, 1669, 9921, 10721, 4420, 113, 2774, 1372, 114, 1120, 2259, 2568, 1196, 3252, 117, 1120, 122, 118, 2370, 117, 124, 1808, 117, 1105, 127, 1808, 1170, 188, 7867, 1158, 1105, 7261, 2197, 1158, 1105, 8025, 1121, 1406, 4420, 1443, 13306, 1669, 9921, 10721, 113, 1654, 1372, 114, 1121, 12477, 8745, 102 ]
[ 101, 7209, 1610, 16430, 7903, 1110, 1103, 1887, 2556, 12477, 2646, 15454, 14601, 1105, 1103, 2020, 2612, 1104, 4182, 1473, 1107, 1535, 117, 1114, 1167, 1190, 1141, 1550, 1207, 2740, 9939, 4529, 6089, 119, 1122, 1110, 1218, 1227, 1115, 5250, 2430, 118, 1113, 2528, 27054, 1116, 1105, 14601, 17203, 1766, 9077, 1132, 1160, 3322, 1104, 9077, 1115, 1505, 170, 2501, 1648, 1107, 1103, 8585, 1104, 2765, 3213, 1105, 23510, 119, 7544, 117, 1251, 13000, 1891, 1107, 1141, 1137, 1167, 1104, 1292, 9077, 2691, 1106, 1505, 1126, 1696, 1648, 1107, 1103, 3507, 19790, 16317, 1104, 1211, 1769, 12477, 2646, 12149, 9885, 119, 1123, 118, 123, 120, 24928, 1358, 5250, 2430, 118, 1113, 2528, 27054, 1821, 1643, 17489, 1105, 120, 1137, 1166, 11708, 11135, 1988, 1110, 1141, 1104, 1103, 1211, 1696, 18651, 1562, 1107, 7209, 4182, 119, 1103, 1123, 118, 123, 120, 24928, 1358, 5250, 2430, 118, 1113, 2528, 27054, 113, 1145, 1270, 172, 118, 14044, 13834, 1477, 114, 1110, 1388, 1113, 18697, 1542, 4426, 14541, 164, 2588, 166, 1134, 4035, 25634, 1111, 185, 15292, 1571, 117, 170, 14715, 3263, 12913, 18194, 176, 1193, 2528, 1643, 21020, 1394, 1114, 189, 12577, 2155, 2042, 24779, 3246, 1115, 7017, 1106, 1103, 1266, 1104, 174, 25786, 1200, 7435, 3213, 5318, 14392, 119, 1123, 1477, 120, 24928, 1358, 5250, 2430, 118, 1113, 2528, 27054, 1110, 1821, 18580, 1105, 120, 1137, 1166, 11708, 15716, 1107, 2324, 25894, 1568, 110, 1104, 19849, 7209, 4182, 1116, 119, 1126, 3852, 1144, 1151, 1276, 1106, 4056, 1206, 1821, 1643, 17489, 1105, 120, 1137, 1166, 11708, 11135, 1988, 1104, 1123, 118, 123, 120, 24928, 1358, 1105, 170, 2043, 2783, 1104, 1472, 7300, 1105, 3507, 7542, 1956, 1104, 7209, 1610, 16430, 7903, 119, 1121, 170, 7300, 1553, 1104, 2458, 117, 1123, 118, 123, 120, 24928, 1358, 10814, 1144, 1561, 1126, 1696, 4010, 1111, 2848, 14637, 118, 1359, 7606, 1114, 189, 7297, 7926, 10337, 1918, 1830, 113, 1123, 2093, 6451, 1394, 114, 119, 1107, 178, 1611, 4426, 117, 1187, 1103, 1416, 1108, 5490, 1106, 1344, 3001, 1104, 25403, 16410, 1378, 1103, 1148, 1105, 1248, 176, 19284, 8755, 117, 7209, 4182, 1110, 1103, 1211, 1887, 14601, 2076, 1107, 3032, 119, 1166, 1103, 1314, 1995, 1201, 117, 1175, 1144, 1151, 170, 1210, 118, 11203, 2773, 1107, 1103, 21014, 1104, 7209, 4182, 117, 1114, 1211, 1104, 1142, 2773, 1217, 6547, 1106, 170, 2521, 9233, 2076, 1104, 1103, 4182, 119, 1142, 4006, 3768, 1126, 4449, 1104, 1123, 1477, 120, 24928, 1358, 2838, 1107, 170, 1326, 1104, 178, 1611, 17276, 1535, 1114, 7209, 4182, 1106, 1267, 2480, 1251, 5408, 1107, 1123, 1477, 120, 24928, 1358, 2838, 117, 1107, 18741, 1114, 14601, 5924, 117, 1180, 1129, 1276, 1107, 170, 1416, 5490, 1106, 25403, 16410, 119, 16696, 9985, 1104, 4698, 1394, 118, 4275, 117, 18311, 16274, 11783, 7209, 4182, 7918, 117, 4465, 1121, 7209, 4182, 4420, 1166, 170, 1669, 1121, 14516, 6451, 5521, 3169, 1384, 1106, 179, 10038, 1369, 1127, 1529, 1107, 1142, 2025, 119, 1155, 2740, 1127, 4465, 1121, 1558, 8894, 1105, 2029, 17296, 1107, 180, 16205, 1161, 1629, 1298, 113, 1388, 1107, 1103, 2243, 1104, 178, 1611, 4426, 114, 119, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 3582, 14298, 1116, 2025, 5850, 1106, 10301, 1103, 2603, 1104, 1123, 118, 123, 120, 24928, 1358, 113, 172, 118, 14044, 13834, 1477, 114, 13280, 13601, 2728, 27516, 2430, 16710, 1166, 11708, 11135, 1988, 1107, 1472, 1117, 2430, 7810, 3322, 1104, 7209, 4182, 1276, 1107, 1103, 2243, 174, 4455, 20955, 3052, 1805, 1104, 178, 1611, 4426, 117, 170, 1805, 1115, 1108, 5490, 1106, 1344, 3001, 1104, 25403, 16410, 119, 1123, 118, 123, 120, 24928, 1358, 113, 172, 118, 14044, 13834, 1477, 114, 1166, 11708, 11135, 1988, 1108, 27053, 1114, 1887, 12257, 4184, 9779, 7542, 11934, 1216, 1112, 1425, 117, 3654, 117, 2016, 117, 14601, 2060, 1105, 181, 25698, 14372, 6083, 1106, 4959, 1191, 1251, 2440, 25128, 8519, 1200, 1111, 7401, 1106, 25403, 16410, 1180, 1129, 1276, 1107, 102 ]
[ 101, 11551, 1548, 3657, 1121, 170, 1704, 2773, 1107, 1472, 25128, 15177, 1116, 1137, 170, 2265, 2819, 1104, 122, 22121, 119, 11551, 1548, 3626, 1107, 1110, 20439, 1233, 1219, 1384, 10973, 1568, 1580, 113, 1626, 1769, 3509, 117, 1743, 185, 6094, 21001, 3509, 117, 1105, 1659, 2094, 3509, 114, 1105, 1479, 3009, 21116, 6841, 1219, 2459, 10973, 1568, 1571, 113, 1367, 1769, 3509, 117, 123, 185, 6094, 21001, 3509, 117, 1105, 123, 2094, 3509, 114, 1127, 13927, 1106, 27787, 118, 1768, 27426, 24266, 7880, 12238, 1548, 113, 185, 2087, 2176, 114, 119, 23639, 2180, 14201, 4907, 2116, 1114, 1103, 193, 2822, 1182, 8744, 6187, 10205, 16868, 1103, 1110, 14995, 1116, 1154, 1695, 4966, 21138, 113, 23609, 3447, 27172, 1116, 114, 117, 3574, 178, 1475, 1182, 22737, 119, 1780, 1103, 3009, 1110, 14995, 1116, 2799, 1344, 9531, 1107, 1147, 185, 2087, 2176, 6692, 117, 1211, 113, 4650, 120, 5729, 117, 5787, 110, 114, 2793, 113, 1384, 10973, 1568, 1580, 114, 1110, 14995, 1116, 1127, 16358, 28008, 1105, 2799, 1126, 1107, 10396, 1916, 6592, 5480, 2165, 185, 2087, 2176, 6168, 113, 23609, 3447, 27172, 178, 1475, 114, 117, 1134, 1108, 1136, 1276, 1621, 1103, 3009, 1110, 14995, 1116, 113, 2482, 123, 132, 1952, 170, 1475, 114, 119, 1292, 2686, 5057, 1115, 1211, 1104, 1103, 8999, 1110, 14995, 1116, 6772, 1106, 122, 7434, 22121, 1115, 1930, 1408, 1106, 2819, 1107, 1110, 20439, 1233, 9961, 1219, 1478, 10973, 1568, 1559, 119, 1748, 4982, 117, 7577, 1104, 1103, 178, 1475, 23609, 3447, 27172, 1114, 1168, 185, 2087, 2176, 21138, 1194, 8561, 6097, 113, 7001, 119, 172, 1181, 1665, 119, 1301, 1964, 120, 8561, 6097, 120, 114, 1105, 8561, 6097, 27772, 3186, 113, 7001, 119, 8561, 6097, 10879, 10449, 21404, 119, 8916, 120, 6379, 120, 27772, 3186, 119, 1112, 1643, 114, 4668, 170, 4844, 1136, 2103, 6890, 117, 8783, 1103, 8999, 22121, 1110, 6850, 1106, 1110, 20439, 1233, 119, 27787, 118, 1768, 27426, 24266, 7880, 12238, 1548, 113, 185, 2087, 2176, 114, 6692, 1104, 17646, 7772, 3873, 4578, 14516, 12316, 1813, 11551, 1548, 1110, 14995, 1116, 1121, 7300, 117, 2094, 117, 1105, 185, 6094, 21001, 3509, 6841, 1107, 1110, 20439, 1233, 117, 2459, 10973, 1568, 1580, 117, 4000, 170, 1344, 2178, 1104, 172, 4934, 17839, 119, 23639, 13225, 13417, 2050, 1988, 1982, 1606, 193, 2822, 1182, 18760, 8744, 1105, 7434, 15213, 113, 1107, 110, 114, 1108, 1359, 1113, 26104, 23795, 119, 185, 2087, 2176, 1108, 3303, 2452, 1106, 1103, 18013, 17646, 7772, 11309, 6425, 1111, 3653, 13347, 1105, 1654, 8561, 6097, 1112, 1758, 113, 125, 114, 1118, 1606, 188, 119, 3873, 4578, 14516, 1197, 119, 170, 2335, 2190, 1110, 2136, 1107, 1952, 170, 1475, 119, 1106, 1748, 1959, 3708, 1103, 1110, 14995, 1116, 117, 1195, 1982, 28117, 1116, 2093, 6451, 7706, 5715, 1106, 1479, 2848, 7257, 2180, 23467, 10071, 119, 2905, 117, 4789, 1106, 1429, 2848, 7257, 2180, 23467, 5789, 1108, 11168, 113, 1952, 132, 1952, 170, 1475, 114, 119, 1148, 117, 1780, 127, 120, 1479, 113, 3383, 110, 114, 1104, 1103, 3009, 21116, 1127, 7246, 1106, 1155, 7289, 2848, 7257, 2180, 23467, 5789, 1105, 126, 120, 102 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101, 1106, 4959, 2480, 6099, 15351, 1104, 17646, 7772, 3873, 4578, 14516, 12316, 1813, 11551, 1548, 1107, 1110, 20439, 1233, 3657, 1121, 1126, 2773, 1107, 1472, 25128, 15177, 1116, 1137, 2819, 1104, 122, 22121, 117, 1195, 6858, 5966, 14516, 12316, 1813, 11551, 1548, 1110, 14995, 1116, 1113, 1103, 176, 26601, 2340, 20437, 1105, 185, 10436, 27202, 3001, 119, 1103, 8999, 10512, 11561, 122, 7434, 22121, 1114, 170, 4966, 27787, 118, 1768, 27426, 24266, 7880, 12238, 1548, 6168, 1105, 170, 1887, 2848, 7257, 2180, 23467, 3850, 4789, 4844, 119, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]