Datasets:
manu
/
tok_dataset_1

Dataset card Viewer Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
30
2.04k
attention_mask
sequencelengths
30
2.04k
labels
sequencelengths
30
2.04k
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 6062, 1239, 1135, 4593, 1433, 2874, 1801, 16794, 1161, 1135, 7711, 27470, 1161, 9197, 1293, 1670, 4436, 1147, 28623, 488, 124, 1171, 1113, 1953, 1139, 7512, 176, 1108, 14596, 4064, 2483, 2017, 1226, 1135, 5783, 1161, 9197, 1293, 1670, 4436, 14045, 7552, 2090, 3337, 1281, 10508, 1513, 24645, 1449, 1135, 16782, 124, 132, 17743, 119, 1110, 1830, 1161, 3854, 3258, 9707, 1226, 1413, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 16794, 121, 19045, 1355, 1135, 2283, 1161, 1184, 1961, 17147, 3904, 2375, 1285, 1135, 3263, 3390, 1446, 2483, 2957, 5916, 1429, 1226, 1135, 2804, 121, 7783, 142, 1548, 1293, 14704, 5567, 12562, 1161, 7783, 160, 5623, 3441, 2694, 1449, 2197, 22233, 11632, 1104, 1238, 3263, 1161, 6506, 1192, 2884, 7783, 2605, 1845, 1399, 1125, 7546, 1157, 1762, 1324, 1151, 7003, 7235, 3783, 1161, 4593, 17147, 21751, 1171, 2197, 7264, 1285, 21751, 6506, 10882, 1459, 1135, 2804, 9273, 1238, 4151, 488, 124, 128, 119, 1341, 1239, 2605, 1845, 1399, 1125, 7546, 1157, 196, 2000, 2693, 1255, 1479, 190, 488, 126, 120, 123, 1171, 7733, 2942, 1789, 1940, 9197, 1293, 1670, 4436, 14045, 5783, 1147, 5517, 1388, 5395, 1135, 2283, 1161, 1135, 21326, 2197, 14596, 1393, 10901, 11298, 1192, 1205, 1126, 21937, 1125, 3318, 1810, 27712, 1161, 28623, 488, 125, 119, 1171, 1789, 2807, 1977, 7710, 119, 1192, 149, 8411, 1514, 4379, 173, 5804, 2036, 2499, 1549, 14596, 1703, 14143, 1460, 1125, 1165, 1242, 21687, 13054, 3984, 1196, 1109, 3046, 24912, 30382, 186, 1125, 24671, 1810, 7783, 142, 9231, 7965, 1254, 145, 1209, 2451, 12638, 2086, 1171, 3569, 151, 4304, 181, 10779, 1703, 1393, 1169, 4487, 1589, 1163, 1559, 1163, 1110, 3663, 17147, 120, 16056, 10254, 1226, 1135, 488, 125, 123, 125, 126, 120, 125, 123, 125, 127, 6062, 1388, 2951, 8100, 1701, 1530, 3983, 1161, 1139, 7512, 176, 1108, 11748, 19646, 1147, 1135, 27470, 121, 3743, 1135, 10220, 1161, 1135, 21326, 3337, 14596, 1393, 10901, 1427, 1446, 28623, 488, 125, 119, 3569, 151, 4304, 181, 1172, 1762, 30382, 186, 1125, 24671, 1810, 1171, 13054, 3984, 1196, 1109, 3318, 2036, 14256, 13054, 1350, 196, 1301, 1652, 1239, 14347, 1147, 6506, 15802, 1341, 8020, 1163, 7620, 1532, 1110, 6970, 1226, 3849, 1123, 1226, 1135, 6782, 6062, 1171, 1579, 8540, 12963, 1147, 1135, 21828, 1361, 6755, 12317, 1147, 1135, 3602, 3255, 1297, 19045, 6506, 1192, 1602, 16606, 14596, 10688, 1163, 5052, 1226, 6506, 1233, 1388, 2700, 31149, 1194, 9183, 3616, 1139, 7512, 176, 1108, 11748, 1393, 21867, 2127, 2197, 2957, 1285, 6506, 1192, 12157, 1161, 16606, 14596, 2884, 6506, 1233, 1602, 1111, 4414, 1410, 11748, 3691, 2483, 2017, 18098, 1147, 1789, 2957, 6612, 1163, 1110, 8177, 1269, 20805, 10146, 1388, 2003, 1265, 1972, 3616, 11178, 1149, 1239, 11219, 1238, 1135, 15449, 4153, 2935, 1175, 10775, 3161, 488, 127, 22233, 7264, 488, 125, 22233, 30901, 488, 124, 2151, 4023, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 6506, 1233, 1194, 199, 1846, 199, 2409, 5470, 20230, 145, 7261, 24367, 1854, 4080, 18942, 9323, 1171, 22874, 25194, 17935, 1194, 26722, 9354, 11701, 3067, 18942, 1238, 21017, 158, 145, 1862, 1194, 12225, 1589, 11130, 2105, 30206, 1293, 1670, 4436, 17295, 19047, 1194, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2105, 30206, 1293, 1670, 4436, 32001, 1424, 32000, 20036, 2895, 6586, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 1299, 1158, 29586, 2009, 8687, 22206, 3555, 9891, 1227, 16277, 1125, 13833, 2988, 1125, 7711, 1125, 8785, 13055, 488, 124, 1167, 2367, 1571, 12469, 8826, 24424, 3299, 14596, 1256, 1170, 3694, 1125, 14045, 1125, 13833, 2988, 7552, 2136, 3203, 26940, 23551, 1473, 1215, 1158, 19667, 1125, 16782, 124, 132, 119, 1318, 4438, 1125, 3854, 1902, 14065, 1256, 1816, 9891, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 121, 10976, 1317, 6706, 1125, 8826, 4408, 1635, 23835, 1125, 4322, 4587, 3683, 1207, 7790, 1125, 3219, 3274, 1508, 5916, 8062, 1256, 1158, 1622, 5907, 2576, 2235, 142, 1548, 1293, 14704, 5567, 1971, 1336, 1282, 2235, 160, 5623, 3441, 2694, 1125, 2069, 4153, 1167, 20235, 1186, 6425, 1227, 3274, 1192, 11781, 1309, 1282, 2235, 2605, 1845, 1399, 1125, 7546, 1157, 1762, 1317, 13466, 9569, 11867, 1125, 1281, 2075, 13501, 3327, 1167, 2069, 14271, 1285, 18900, 1170, 3274, 10882, 7823, 1125, 1158, 12244, 20096, 1303, 1170, 488, 124, 128, 1423, 2433, 3557, 12547, 1845, 1399, 1125, 7546, 1157, 196, 1357, 29779, 1679, 488, 126, 120, 123, 1167, 2368, 16603, 5919, 1170, 3151, 3694, 1125, 14045, 1125, 13833, 2988, 1125, 1594, 7635, 8370, 1622, 31734, 119, 2069, 14596, 1508, 2969, 3794, 6389, 1205, 1126, 21937, 1125, 3318, 1810, 14045, 1125, 8785, 13055, 488, 125, 1167, 1594, 1106, 1334, 1479, 2982, 6389, 149, 8411, 1514, 4379, 173, 5804, 2036, 2499, 1595, 14596, 1703, 14097, 7937, 1460, 1125, 1165, 1242, 21687, 1170, 13054, 3984, 1196, 1109, 3046, 24912, 1170, 30382, 186, 1125, 24671, 1810, 1282, 2235, 142, 9231, 7965, 5613, 145, 1209, 2451, 1118, 3307, 1167, 1282, 3488, 151, 4304, 181, 10779, 1703, 1508, 9562, 1188, 5924, 1826, 1603, 17993, 3143, 1125, 8182, 1318, 10254, 1188, 1179, 2111, 2174, 10431, 1256, 1158, 6586, 488, 125, 123, 125, 126, 120, 125, 123, 125, 127, 1388, 2951, 8100, 1701, 5194, 3983, 1125, 8826, 24424, 3299, 10431, 31389, 1317, 4322, 4587, 6093, 1653, 4319, 31734, 119, 3203, 14596, 1508, 2969, 1153, 1125, 8785, 13055, 488, 125, 119, 1282, 3488, 151, 4304, 181, 1172, 1762, 1170, 30382, 186, 1125, 24671, 172, 1167, 1170, 13054, 3984, 1196, 1109, 3318, 2036, 8673, 1309, 1170, 13054, 1350, 196, 1301, 1652, 2666, 1294, 8694, 1313, 1170, 3274, 15802, 1527, 7032, 5255, 1107, 14412, 4610, 1256, 9933, 1125, 1158, 6586, 1167, 2551, 17513, 1370, 1408, 1313, 1207, 9011, 5931, 1153, 9229, 190, 1125, 1158, 1115, 11636, 1313, 1207, 10031, 1357, 2419, 4364, 10976, 1170, 3274, 1192, 2803, 10924, 14596, 2714, 8826, 1256, 1170, 3274, 1233, 1388, 8039, 244, 4538, 1194, 9183, 2608, 8826, 24424, 3299, 10431, 1508, 7556, 3088, 1186, 2069, 2957, 1346, 1170, 3274, 1192, 13644, 1125, 10924, 14596, 11781, 1309, 1170, 3274, 1233, 1186, 18402, 8826, 121, 1808, 10431, 2385, 5034, 1129, 1188, 2069, 21402, 1207, 2905, 14596, 1125, 1964, 3274, 3702, 1189, 19325, 25333, 27118, 4371, 1160, 1388, 2809, 2139, 1525, 2359, 14408, 1299, 13342, 1300, 1170, 3688, 2247, 1125, 4153, 13753, 9321, 1146, 8648, 1188, 488, 127, 22233, 3904, 14271, 1188, 488, 125, 119, 2968, 20645, 1188, 488, 124, 4023, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 9650, 1233, 1194, 199, 1846, 199, 2409, 157, 1234, 18036, 1194, 16519, 1366, 12323, 23868, 1227, 25985, 9323, 1167, 5474, 25194, 17935, 5532, 1354, 16718, 28642, 1125, 1158, 6586, 1300, 21017, 158, 145, 1862, 1194, 11333, 5888, 176, 4196, 1916, 11249, 1125, 13833, 2988, 1125, 7711, 1194, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2911, 5173, 2988, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 6586, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 1299, 1158, 29586, 2009, 8687, 22206, 3555, 9891, 1227, 16277, 1125, 13833, 2988, 1125, 7711, 1125, 8785, 13055, 488, 124, 1167, 2367, 1571, 12469, 8826, 24424, 3299, 14596, 1256, 1170, 3694, 1125, 14045, 1125, 13833, 2988, 7552, 2136, 3203, 26940, 23551, 1473, 1215, 1158, 19667, 1125, 16782, 124, 132, 119, 1318, 4438, 1125, 3854, 1902, 14065, 1256, 1816, 9891, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 121, 10976, 1317, 6706, 1125, 8826, 4408, 1635, 23835, 1125, 4322, 4587, 3683, 1207, 7790, 1125, 3219, 3274, 1508, 5916, 8062, 1256, 1158, 1622, 5907, 2576, 2235, 142, 1548, 1293, 14704, 5567, 1971, 1336, 1282, 2235, 160, 5623, 3441, 2694, 1125, 2069, 4153, 1167, 20235, 1186, 6425, 1227, 3274, 1192, 11781, 1309, 1282, 2235, 2605, 1845, 1399, 1125, 7546, 1157, 1762, 1317, 13466, 9569, 11867, 1125, 1281, 2075, 13501, 3327, 1167, 2069, 14271, 1285, 18900, 1170, 3274, 10882, 7823, 1125, 1158, 12244, 20096, 1303, 1170, 488, 124, 128, 1423, 2433, 3557, 12547, 1845, 1399, 1125, 7546, 1157, 196, 1357, 29779, 1679, 488, 126, 120, 123, 1167, 2368, 16603, 5919, 1170, 3151, 3694, 1125, 14045, 1125, 13833, 2988, 1125, 1594, 7635, 8370, 1622, 31734, 119, 2069, 14596, 1508, 2969, 3794, 6389, 1205, 1126, 21937, 1125, 3318, 1810, 14045, 1125, 8785, 13055, 488, 125, 1167, 1594, 1106, 1334, 1479, 2982, 6389, 149, 8411, 1514, 4379, 173, 5804, 2036, 2499, 1595, 14596, 1703, 14097, 7937, 1460, 1125, 1165, 1242, 21687, 1170, 13054, 3984, 1196, 1109, 3046, 24912, 1170, 30382, 186, 1125, 24671, 1810, 1282, 2235, 142, 9231, 7965, 5613, 145, 1209, 2451, 1118, 3307, 1167, 1282, 3488, 151, 4304, 181, 10779, 1703, 1508, 9562, 1188, 5924, 1826, 1603, 17993, 3143, 1125, 8182, 1318, 10254, 1188, 1179, 2111, 2174, 10431, 1256, 1158, 6586, 488, 125, 123, 125, 126, 120, 125, 123, 125, 127, 1388, 2951, 8100, 1701, 5194, 3983, 1125, 8826, 24424, 3299, 10431, 31389, 1317, 4322, 4587, 6093, 1653, 4319, 31734, 119, 3203, 14596, 1508, 2969, 1153, 1125, 8785, 13055, 488, 125, 119, 1282, 3488, 151, 4304, 181, 1172, 1762, 1170, 30382, 186, 1125, 24671, 172, 1167, 1170, 13054, 3984, 1196, 1109, 3318, 2036, 8673, 1309, 1170, 13054, 1350, 196, 1301, 1652, 2666, 1294, 8694, 1313, 1170, 3274, 15802, 1527, 7032, 5255, 1107, 14412, 4610, 1256, 9933, 1125, 1158, 6586, 1167, 2551, 17513, 1370, 1408, 1313, 1207, 9011, 5931, 1153, 9229, 190, 1125, 1158, 1115, 11636, 1313, 1207, 10031, 1357, 2419, 4364, 10976, 1170, 3274, 1192, 2803, 10924, 14596, 2714, 8826, 1256, 1170, 3274, 1233, 1388, 8039, 244, 4538, 1194, 9183, 2608, 8826, 24424, 3299, 10431, 1508, 7556, 3088, 1186, 2069, 2957, 1346, 1170, 3274, 1192, 13644, 1125, 10924, 14596, 11781, 1309, 1170, 3274, 1233, 1186, 18402, 8826, 121, 1808, 10431, 2385, 5034, 1129, 1188, 2069, 21402, 1207, 2905, 14596, 1125, 1964, 3274, 3702, 1189, 19325, 25333, 27118, 4371, 1160, 1388, 2809, 2139, 1525, 2359, 14408, 1299, 13342, 1300, 1170, 3688, 2247, 1125, 4153, 13753, 9321, 1146, 8648, 1188, 488, 127, 22233, 3904, 14271, 1188, 488, 125, 119, 2968, 20645, 1188, 488, 124, 4023, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 9650, 1233, 1194, 199, 1846, 199, 2409, 157, 1234, 18036, 1194, 16519, 1366, 12323, 23868, 1227, 25985, 9323, 1167, 5474, 25194, 17935, 5532, 1354, 16718, 28642, 1125, 1158, 6586, 1300, 21017, 158, 145, 1862, 1194, 11333, 5888, 176, 4196, 1916, 11249, 1125, 13833, 2988, 1125, 7711, 1194, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2911, 5173, 2988, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12928, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1299, 1318, 16074, 1125, 1185, 6991, 1180, 1125, 1158, 4446, 1197, 1173, 5933, 1107, 1259, 1183, 1433, 183, 19609, 1388, 8044, 26540, 14564, 1567, 16074, 1299, 2283, 16738, 1125, 23684, 1125, 3335, 13729, 1313, 1170, 8079, 1125, 5370, 186, 20876, 2181, 3450, 1281, 8956, 1188, 2069, 9355, 1125, 1282, 249, 3476, 1170, 2102, 1197, 31538, 11281, 1317, 20449, 13469, 1167, 1300, 1158, 20707, 20449, 1182, 1188, 11793, 1125, 11174, 1126, 10313, 121, 6053, 1318, 16074, 2205, 10423, 18898, 2012, 1109, 1137, 1214, 1424, 2834, 1265, 1527, 2985, 5391, 1303, 1256, 1158, 3453, 12999, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1215, 1178, 15927, 22763, 244, 1469, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 1691, 1462, 3366, 1189, 1115, 19673, 1379, 2283, 16738, 1125, 28723, 1125, 3335, 172, 10019, 3997, 488, 1188, 6389, 3843, 120, 13469, 1125, 3335, 1123, 2086, 1362, 1469, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 11424, 28132, 2283, 16738, 1125, 28723, 1125, 3190, 1168, 1122, 2181, 3190, 8787, 1408, 3304, 177, 1105, 23739, 7349, 7085, 1309, 1170, 1408, 9993, 5424, 1125, 1440, 1115, 19673, 1379, 3031, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 9608, 9907, 187, 3366, 1318, 16074, 4813, 1313, 1271, 2528, 21562, 1125, 5370, 186, 1248, 7187, 1388, 2101, 6736, 22066, 4870, 13006, 2985, 12381, 1186, 488, 124, 132, 130, 130, 3817, 1189, 27618, 1167, 1189, 17510, 3299, 15935, 8102, 1234, 1300, 28723, 1125, 3335, 1123, 2181, 2576, 1398, 23044, 10423, 1389, 1915, 1999, 16766, 8615, 1215, 7753, 12716, 1197, 1177, 1889, 1167, 1158, 17598, 1125, 1964, 4393, 3683, 16509, 3747, 1188, 1197, 8946, 7260, 1125, 13513, 6364, 1525, 2467, 1234, 1215, 1271, 3488, 27250, 2750, 1158, 22925, 12507, 5549, 5907, 1653, 488, 124, 132, 131, 125, 119, 1318, 11666, 2985, 26190, 1256, 21842, 1158, 7027, 17291, 1125, 1158, 5740, 1257, 488, 124, 131, 26377, 15935, 5391, 4413, 3855, 6414, 23902, 13006, 2985, 5039, 1303, 1300, 1158, 4575, 1197, 14360, 21246, 1473, 1170, 488, 1215, 4909, 6716, 20492, 1171, 17047, 18467, 5818, 29227, 17322, 192, 1844, 1125, 1561, 10423, 16438, 23902, 13006, 1299, 2680, 2034, 9598, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1299, 22324, 10457, 1491, 1188, 1166, 237, 5012, 1469, 1197, 9355, 1408, 21092, 1473, 1317, 19121, 1125, 1594, 10489, 1297, 6280, 7027, 19914, 1299, 1125, 488, 126, 129, 8680, 7552, 1333, 12290, 1424, 3466, 1288, 18197, 29155, 5025, 1300, 1594, 6600, 2071, 1723, 1238, 19415, 2914, 1299, 1781, 1168, 1716, 1345, 1362, 26690, 1289, 8796, 1188, 20463, 1124, 1197, 2905, 1185, 6991, 1180, 1388, 1891, 30930, 12616, 4927, 1125, 17590, 7032, 1999, 1630, 11067, 1125, 2829, 1188, 2578, 121, 1643, 2820, 1378, 31179, 1189, 1362, 2069, 17510, 21215, 1357, 9507, 1180, 1129, 1317, 5581, 1125, 488, 125, 1188, 488, 126, 2879, 8732, 1565, 1162, 17482, 1424, 4847, 22783, 5520, 488, 124, 132, 130, 130, 1257, 1192, 1624, 13594, 1161, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 4289, 2733, 4741, 1293, 2296, 182, 1105, 19609, 116, 1446, 3122, 4313, 3335, 1123, 2086, 5206, 4993, 1457, 1951, 5800, 1972, 1161, 1135, 7072, 6898, 13309, 1161, 22803, 1859, 1175, 8934, 8363, 1132, 4023, 28870, 5825, 9323, 1167, 5474, 23178, 2733, 1354, 29610, 11246, 9004, 5933, 1107, 1259, 1183, 1433, 183, 19609, 2105, 25216, 2283, 16738, 1125, 5370, 186, 20876, 2181, 32001, 1424, 32000, 20036, 1628, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1239, 1110, 13594, 1161, 1185, 6991, 1180, 1147, 1135, 4772, 1173, 5933, 1107, 1259, 1183, 1433, 183, 19609, 8509, 10995, 9693, 13594, 1239, 28930, 6729, 1163, 1135, 13798, 1161, 3335, 13729, 1147, 1135, 18931, 21620, 1248, 16925, 9660, 121, 1988, 1239, 10003, 1163, 2197, 8333, 1161, 1135, 1239, 12906, 4957, 1135, 1455, 1633, 190, 1147, 1135, 10537, 14654, 1171, 1238, 1135, 1139, 1249, 22629, 16200, 6289, 11174, 1126, 10313, 121, 1988, 1239, 1110, 2763, 10423, 13594, 18898, 2012, 3007, 18100, 9916, 1341, 1463, 1940, 5391, 2754, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 14595, 1163, 1280, 20768, 7633, 1163, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 1691, 1462, 3366, 1110, 1115, 27184, 28930, 6729, 1163, 1135, 23751, 13798, 1161, 3335, 1810, 1329, 1163, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 11424, 28132, 28930, 6729, 1163, 1135, 13798, 1161, 3190, 1168, 1122, 2181, 20490, 11569, 12827, 1302, 1135, 31670, 5776, 1161, 1413, 1115, 27184, 1463, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 9608, 9907, 187, 3366, 1110, 5918, 13594, 1147, 1135, 18931, 21620, 1248, 16925, 4687, 21562, 9143, 1388, 2101, 6736, 3616, 13594, 1463, 17447, 1147, 488, 124, 132, 130, 130, 2043, 1151, 7794, 1171, 1151, 18162, 2025, 18947, 1238, 1135, 13798, 1161, 3335, 1123, 2181, 1410, 23402, 1177, 20953, 1526, 1280, 17962, 1449, 1135, 18129, 1161, 1177, 1889, 1171, 1135, 17598, 1161, 1789, 4393, 3683, 10115, 5404, 1163, 13513, 1149, 5285, 2410, 15334, 1656, 1449, 1135, 3569, 27250, 2470, 5055, 6832, 21979, 1459, 488, 124, 132, 131, 125, 119, 1110, 5705, 1463, 17262, 1163, 12735, 1135, 9529, 5740, 3961, 133, 488, 124, 131, 12315, 2025, 5391, 3078, 2192, 1239, 5152, 1135, 13594, 1463, 14347, 1296, 2283, 3711, 1156, 1449, 1135, 4909, 6716, 20492, 1171, 17047, 18467, 5818, 29227, 1763, 1277, 1163, 2019, 1177, 1124, 6357, 1135, 13594, 1239, 12529, 1269, 5388, 121, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1239, 4942, 1185, 2091, 1163, 1111, 1119, 1324, 9613, 1107, 8333, 1238, 1135, 3263, 1161, 2019, 28457, 14835, 5146, 3961, 1239, 488, 126, 129, 8680, 8509, 7203, 2073, 1884, 4433, 1239, 5388, 1905, 2019, 2172, 3174, 1663, 1341, 1239, 26619, 1163, 1280, 1781, 1168, 1716, 1121, 1212, 1329, 26690, 1289, 1121, 14503, 2141, 2017, 1185, 6991, 1180, 1388, 1891, 30930, 3616, 3063, 23728, 5529, 8020, 1163, 25646, 1446, 5696, 1163, 5951, 1377, 1657, 1410, 15389, 1158, 1591, 1704, 1329, 2197, 18162, 190, 1758, 1166, 1866, 2470, 488, 125, 1163, 488, 126, 6528, 1388, 17696, 7261, 8119, 1628, 1210, 22783, 5520, 488, 124, 132, 130, 130, 133, 1192, 1624, 13594, 1161, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 4289, 2733, 4741, 1293, 2296, 182, 1105, 19609, 116, 1446, 3122, 4313, 3335, 1123, 2086, 5206, 4993, 1457, 1951, 5800, 1972, 1161, 1135, 7072, 6898, 13309, 1161, 22803, 1859, 7393, 1770, 3737, 4023, 26722, 14520, 9323, 1171, 22874, 11934, 2733, 2323, 1175, 2865, 1354, 3796, 2220, 9004, 5933, 1107, 1259, 1183, 1433, 183, 19609, 2105, 172, 14570, 28930, 6729, 1163, 18931, 21620, 20876, 2181, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1239, 1110, 13594, 1161, 1185, 6991, 1180, 1147, 1135, 4772, 1173, 5933, 1107, 1259, 1183, 1433, 183, 19609, 8509, 10995, 9693, 13594, 1239, 28930, 6729, 1163, 1135, 13798, 1161, 3335, 13729, 1147, 1135, 18931, 21620, 1248, 16925, 9660, 121, 1988, 1239, 10003, 1163, 2197, 8333, 1161, 1135, 1239, 12906, 4957, 1135, 1455, 1633, 190, 1147, 1135, 10537, 14654, 1171, 1238, 1135, 1139, 1249, 22629, 16200, 6289, 11174, 1126, 10313, 121, 1988, 1239, 1110, 2763, 10423, 13594, 18898, 2012, 3007, 18100, 9916, 1341, 1463, 1940, 5391, 2754, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 14595, 1163, 1280, 20768, 7633, 1163, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 1691, 1462, 3366, 1110, 1115, 27184, 28930, 6729, 1163, 1135, 23751, 13798, 1161, 3335, 1810, 1329, 1163, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 11424, 28132, 28930, 6729, 1163, 1135, 13798, 1161, 3190, 1168, 1122, 2181, 20490, 11569, 12827, 1302, 1135, 31670, 5776, 1161, 1413, 1115, 27184, 1463, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 9608, 9907, 187, 3366, 1110, 5918, 13594, 1147, 1135, 18931, 21620, 1248, 16925, 4687, 21562, 9143, 1388, 2101, 6736, 3616, 13594, 1463, 17447, 1147, 488, 124, 132, 130, 130, 2043, 1151, 7794, 1171, 1151, 18162, 2025, 18947, 1238, 1135, 13798, 1161, 3335, 1123, 2181, 1410, 23402, 1177, 20953, 1526, 1280, 17962, 1449, 1135, 18129, 1161, 1177, 1889, 1171, 1135, 17598, 1161, 1789, 4393, 3683, 10115, 5404, 1163, 13513, 1149, 5285, 2410, 15334, 1656, 1449, 1135, 3569, 27250, 2470, 5055, 6832, 21979, 1459, 488, 124, 132, 131, 125, 119, 1110, 5705, 1463, 17262, 1163, 12735, 1135, 9529, 5740, 3961, 133, 488, 124, 131, 12315, 2025, 5391, 3078, 2192, 1239, 5152, 1135, 13594, 1463, 14347, 1296, 2283, 3711, 1156, 1449, 1135, 4909, 6716, 20492, 1171, 17047, 18467, 5818, 29227, 1763, 1277, 1163, 2019, 1177, 1124, 6357, 1135, 13594, 1239, 12529, 1269, 5388, 121, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 22330, 2248, 1123, 28436, 1153, 1239, 4942, 1185, 2091, 1163, 1111, 1119, 1324, 9613, 1107, 8333, 1238, 1135, 3263, 1161, 2019, 28457, 14835, 5146, 3961, 1239, 488, 126, 129, 8680, 8509, 7203, 2073, 1884, 4433, 1239, 5388, 1905, 2019, 2172, 3174, 1663, 1341, 1239, 26619, 1163, 1280, 1781, 1168, 1716, 1121, 1212, 1329, 26690, 1289, 1121, 14503, 2141, 2017, 1185, 6991, 1180, 1388, 1891, 30930, 3616, 3063, 23728, 5529, 8020, 1163, 25646, 1446, 5696, 1163, 5951, 1377, 1657, 1410, 15389, 1158, 1591, 1704, 1329, 2197, 18162, 190, 1758, 1166, 1866, 2470, 488, 125, 1163, 488, 126, 6528, 1388, 17696, 7261, 8119, 1628, 1210, 22783, 5520, 488, 124, 132, 130, 130, 133, 1192, 1624, 13594, 1161, 1173, 5933, 1107, 1259, 1183, 1433, 13467, 4289, 2733, 4741, 1293, 2296, 182, 1105, 19609, 116, 1446, 3122, 4313, 3335, 1123, 2086, 5206, 4993, 1457, 1951, 5800, 1972, 1161, 1135, 7072, 6898, 13309, 1161, 22803, 1859, 7393, 1770, 3737, 4023, 26722, 14520, 9323, 1171, 22874, 11934, 2733, 2323, 1175, 2865, 1354, 3796, 2220, 9004, 5933, 1107, 1259, 1183, 1433, 183, 19609, 2105, 172, 14570, 28930, 6729, 1163, 18931, 21620, 20876, 2181, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 6706, 1125, 24127, 244, 1314, 1299, 7008, 5162, 1186, 6891, 1188, 1197, 5871, 2252, 11755, 1281, 11642, 1374, 24312, 2864, 2069, 5228, 1285, 7383, 1125, 2008, 14473, 1125, 11642, 5083, 2368, 2139, 3809, 1199, 1186, 1189, 3002, 3589, 1172, 1205, 1137, 1450, 1357, 2435, 1299, 5754, 3725, 1170, 1338, 2677, 1678, 1160, 2335, 1143, 3215, 1137, 1450, 1186, 1189, 3419, 2551, 17983, 2638, 1980, 6305, 1158, 9144, 4453, 10554, 1357, 2856, 1188, 3219, 1691, 1137, 1450, 1125, 9216, 1594, 4334, 1125, 11642, 5083, 1257, 3557, 1158, 1191, 3292, 1197, 1691, 1137, 2805, 1357, 1275, 8900, 1282, 2139, 3809, 1272, 1186, 1143, 3215, 1137, 2805, 1388, 2272, 2507, 1194, 2330, 2558, 1143, 3215, 1137, 1450, 1299, 20723, 2335, 2510, 19461, 1125, 11566, 1145, 1837, 1167, 11358, 2774, 1318, 1290, 283, 13854, 29206, 6270, 3798, 2576, 2665, 1636, 3648, 1197, 6040, 12149, 1197, 24127, 244, 2252, 1299, 2638, 2290, 1207, 3220, 5934, 1737, 6087, 1167, 1527, 1915, 2368, 23774, 1189, 30151, 1835, 2008, 12149, 1304, 1172, 1205, 1137, 2805, 8273, 8477, 1915, 1823, 10956, 244, 1186, 12260, 1207, 1691, 1137, 2805, 1215, 1197, 2627, 11755, 1823, 4083, 2634, 16620, 2097, 13662, 4593, 19662, 1496, 4083, 2634, 1111, 1630, 1154, 1740, 9310, 13662, 5999, 19662, 1496, 2008, 2627, 11755, 2368, 2139, 16351, 1186, 19888, 1186, 3921, 2770, 19662, 488, 124, 1167, 488, 127, 1257, 1207, 16620, 1104, 2830, 2442, 2368, 2139, 16351, 1186, 11749, 1125, 5999, 2627, 1175, 1389, 1935, 184, 1450, 1496, 11781, 1309, 1207, 1111, 1630, 1154, 243, 175, 1312, 2830, 2368, 2139, 16351, 1186, 11749, 1125, 7762, 2627, 5007, 1129, 1174, 1450, 1496, 1170, 9251, 1125, 6113, 1188, 14974, 2924, 11828, 1125, 9144, 22250, 12462, 2008, 11749, 1256, 6292, 1188, 3219, 1275, 119, 2539, 5364, 15857, 5649, 1469, 1909, 8918, 6796, 1125, 9216, 3666, 9124, 1125, 4438, 12825, 5542, 1143, 3215, 1137, 2805, 30703, 1197, 29865, 5934, 10723, 5542, 1167, 2830, 1823, 1188, 1158, 2989, 2519, 31284, 20258, 1125, 2262, 1543, 16663, 3415, 121, 3552, 27635, 1317, 2015, 1197, 1674, 1376, 1362, 1197, 1675, 196, 1728, 250, 175, 1346, 1527, 1288, 10515, 1382, 1125, 11642, 1214, 1525, 3585, 10723, 2368, 29626, 1199, 1188, 1197, 11642, 1214, 1525, 1114, 1262, 1297, 1653, 20488, 1318, 29479, 6591, 18479, 1188, 1158, 9196, 1125, 1282, 22027, 1835, 1207, 6040, 12149, 2519, 24127, 244, 1314, 1915, 1823, 1188, 21839, 2519, 9774, 1191, 3292, 6744, 10993, 1364, 1571, 16309, 1188, 1674, 1376, 1388, 21377, 1430, 12498, 176, 6789, 1110, 1913, 21917, 1317, 4319, 1227, 6298, 1256, 1275, 5670, 1189, 4334, 1125, 31284, 1543, 16663, 3415, 5162, 1215, 5695, 1186, 6920, 1623, 4491, 1199, 1186, 1143, 3215, 1137, 2805, 15006, 1297, 1643, 3453, 1125, 8303, 1186, 6920, 1623, 4716, 1913, 3822, 7329, 1469, 4263, 5815, 1299, 1158, 5873, 1479, 3367, 1109, 1307, 3333, 11362, 1483, 121, 2576, 1398, 13357, 1125, 1158, 14580, 5776, 1571, 1186, 6920, 1623, 1167, 1188, 1964, 31284, 11680, 13508, 1309, 1440, 4334, 1125, 31284, 4249, 1382, 9396, 244, 12825, 18682, 1197, 24127, 244, 2252, 13267, 1823, 10788, 1188, 8612, 1256, 5362, 1197, 20085, 11488, 1167, 5474, 11934, 6988, 5871, 7165, 32001, 1424, 32000, 20036, 3616, 6326, 24127, 1314, 1239, 11059, 2629, 1147, 8610, 1163, 2889, 1554, 1302, 1526, 19271, 1147, 1355, 4674, 2197, 2659, 1285, 2483, 1161, 2484, 19271, 1149, 14473, 20107, 1149, 2127, 1110, 3002, 3589, 1172, 1205, 29784, 1302, 1239, 4710, 1163, 6409, 1135, 1169, 2677, 1678, 1160, 1161, 1704, 1143, 3215, 29784, 2127, 4129, 2155, 3026, 2638, 2470, 7214, 9144, 4453, 1758, 8647, 2483, 1691, 29784, 1163, 2918, 2019, 19271, 1149, 4334, 133, 1341, 1239, 1135, 1191, 3292, 1161, 1135, 1691, 1137, 1201, 1302, 8073, 1104, 1135, 30327, 2127, 1143, 3215, 1137, 1201, 1388, 2272, 2507, 1194, 9890, 1143, 3215, 29784, 1239, 3062, 1806, 1161, 1110, 1622, 1286, 2149, 1161, 1994, 1145, 1953, 1171, 10673, 1602, 1110, 14452, 1290, 186, 1507, 180, 12774, 121, 1410, 1597, 1636, 3648, 1161, 1135, 3259, 14205, 1161, 24127, 2252, 1239, 2638, 2670, 5934, 6898, 19940, 1171, 1151, 3252, 8364, 1164, 1255, 2910, 2484, 14205, 1161, 1143, 3215, 1137, 1201, 1526, 1280, 11219, 1388, 5318, 1526, 1280, 10956, 1589, 1449, 17823, 1135, 1691, 1137, 1201, 1296, 1106, 1443, 1302, 1526, 1280, 5137, 16620, 1146, 20677, 195, 16505, 116, 1329, 1111, 1130, 1154, 2718, 5663, 7393, 1157, 16505, 1496, 2484, 1106, 1443, 1526, 4489, 2725, 1449, 17767, 1789, 488, 124, 1171, 488, 127, 19662, 2127, 3921, 133, 1135, 16620, 1104, 1526, 4489, 2725, 2127, 11749, 1161, 3663, 1106, 1443, 8705, 1130, 1154, 1707, 1496, 2884, 1135, 1111, 1130, 1154, 2718, 1154, 1526, 4489, 2725, 2127, 11749, 1161, 5992, 1106, 1443, 5007, 1129, 14804, 1496, 1135, 8522, 1446, 1704, 1163, 1135, 2017, 1975, 11926, 7214, 9144, 4453, 1161, 2484, 11749, 1163, 3493, 2483, 1106, 2620, 13660, 1446, 20512, 1324, 2019, 12438, 1285, 1163, 2918, 10155, 3666, 4660, 8509, 28164, 1143, 3215, 1137, 1201, 2489, 3259, 5934, 6898, 19175, 1171, 1526, 1280, 1135, 12075, 1226, 1543, 11086, 1146, 10661, 12066, 2392, 1814, 7949, 1674, 1376, 1329, 1675, 196, 1728, 1176, 1285, 2484, 1393, 1375, 3585, 6898, 19271, 190, 26469, 1163, 15543, 19271, 1297, 6067, 1110, 29479, 8265, 1163, 1110, 9196, 1147, 1135, 12804, 2910, 1135, 3259, 14205, 1161, 1110, 24127, 1314, 1526, 1280, 1135, 4262, 1161, 1110, 5585, 1967, 10832, 6670, 1163, 1674, 1105, 30782, 1388, 21377, 1430, 27033, 6789, 1463, 15157, 1355, 1135, 10220, 1161, 1135, 14851, 1163, 12597, 1151, 1543, 11086, 1146, 21991, 4334, 2629, 1449, 1957, 1186, 6920, 1623, 2221, 1149, 1147, 6103, 1143, 3215, 1137, 2996, 1410, 1940, 2536, 1186, 6920, 1232, 1163, 1280, 14422, 1324, 4093, 1433, 1239, 5873, 1479, 3367, 1109, 15546, 11362, 1483, 121, 2438, 27327, 1161, 1135, 18938, 1238, 1186, 6920, 1623, 1171, 1789, 21991, 21617, 1302, 1413, 4334, 1161, 21991, 1239, 1375, 9396, 1589, 6043, 9000, 1161, 24127, 2252, 2592, 1280, 16868, 2580, 1163, 3630, 9194, 1297, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 6326, 24127, 1314, 1239, 11059, 2629, 1147, 8610, 1163, 2889, 1554, 1302, 1526, 19271, 1147, 1355, 4674, 2197, 2659, 1285, 2483, 1161, 2484, 19271, 1149, 14473, 20107, 1149, 2127, 1110, 3002, 3589, 1172, 1205, 29784, 1302, 1239, 4710, 1163, 6409, 1135, 1169, 2677, 1678, 1160, 1161, 1704, 1143, 3215, 29784, 2127, 4129, 2155, 3026, 2638, 2470, 7214, 9144, 4453, 1758, 8647, 2483, 1691, 29784, 1163, 2918, 2019, 19271, 1149, 4334, 133, 1341, 1239, 1135, 1191, 3292, 1161, 1135, 1691, 1137, 1201, 1302, 8073, 1104, 1135, 30327, 2127, 1143, 3215, 1137, 1201, 1388, 2272, 2507, 1194, 9890, 1143, 3215, 29784, 1239, 3062, 1806, 1161, 1110, 1622, 1286, 2149, 1161, 1994, 1145, 1953, 1171, 10673, 1602, 1110, 14452, 1290, 186, 1507, 180, 12774, 121, 1410, 1597, 1636, 3648, 1161, 1135, 3259, 14205, 1161, 24127, 2252, 1239, 2638, 2670, 5934, 6898, 19940, 1171, 1151, 3252, 8364, 1164, 1255, 2910, 2484, 14205, 1161, 1143, 3215, 1137, 1201, 1526, 1280, 11219, 1388, 5318, 1526, 1280, 10956, 1589, 1449, 17823, 1135, 1691, 1137, 1201, 1296, 1106, 1443, 1302, 1526, 1280, 5137, 16620, 1146, 20677, 195, 16505, 116, 1329, 1111, 1130, 1154, 2718, 5663, 7393, 1157, 16505, 1496, 2484, 1106, 1443, 1526, 4489, 2725, 1449, 17767, 1789, 488, 124, 1171, 488, 127, 19662, 2127, 3921, 133, 1135, 16620, 1104, 1526, 4489, 2725, 2127, 11749, 1161, 3663, 1106, 1443, 8705, 1130, 1154, 1707, 1496, 2884, 1135, 1111, 1130, 1154, 2718, 1154, 1526, 4489, 2725, 2127, 11749, 1161, 5992, 1106, 1443, 5007, 1129, 14804, 1496, 1135, 8522, 1446, 1704, 1163, 1135, 2017, 1975, 11926, 7214, 9144, 4453, 1161, 2484, 11749, 1163, 3493, 2483, 1106, 2620, 13660, 1446, 20512, 1324, 2019, 12438, 1285, 1163, 2918, 10155, 3666, 4660, 8509, 28164, 1143, 3215, 1137, 1201, 2489, 3259, 5934, 6898, 19175, 1171, 1526, 1280, 1135, 12075, 1226, 1543, 11086, 1146, 10661, 12066, 2392, 1814, 7949, 1674, 1376, 1329, 1675, 196, 1728, 1176, 1285, 2484, 1393, 1375, 3585, 6898, 19271, 190, 26469, 1163, 15543, 19271, 1297, 6067, 1110, 29479, 8265, 1163, 1110, 9196, 1147, 1135, 12804, 2910, 1135, 3259, 14205, 1161, 1110, 24127, 1314, 1526, 1280, 1135, 4262, 1161, 1110, 5585, 1967, 10832, 6670, 1163, 1674, 1105, 30782, 1388, 21377, 1430, 27033, 6789, 1463, 15157, 1355, 1135, 10220, 1161, 1135, 14851, 1163, 12597, 1151, 1543, 11086, 1146, 21991, 4334, 2629, 1449, 1957, 1186, 6920, 1623, 2221, 1149, 1147, 6103, 1143, 3215, 1137, 2996, 1410, 1940, 2536, 1186, 6920, 1232, 1163, 1280, 14422, 1324, 4093, 1433, 1239, 5873, 1479, 3367, 1109, 15546, 11362, 1483, 121, 2438, 27327, 1161, 1135, 18938, 1238, 1186, 6920, 1623, 1171, 1789, 21991, 21617, 1302, 1413, 4334, 1161, 21991, 1239, 1375, 9396, 1589, 6043, 9000, 1161, 24127, 2252, 2592, 1280, 16868, 2580, 1163, 3630, 9194, 1297, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 12928, 16791, 180, 13272, 16952, 1507, 8929, 2461, 1651, 6256, 2589, 5696, 488, 125, 123, 119, 488, 124, 132, 126, 131, 1147, 1293, 1555, 2433, 14289, 1173, 15566, 20497, 29234, 8006, 116, 1239, 1110, 29234, 1171, 14289, 2406, 1122, 9092, 20101, 18957, 1161, 3251, 1135, 10427, 190, 5645, 1132, 1171, 1135, 24917, 30558, 1147, 7546, 23652, 3750, 14023, 14017, 11706, 4718, 1875, 1651, 2461, 1651, 6227, 1446, 1110, 4772, 1161, 11287, 1156, 2406, 1122, 9092, 11502, 1171, 6517, 1146, 1267, 1297, 7013, 23309, 16867, 1190, 189, 8929, 2461, 1651, 1171, 14305, 2759, 184, 13881, 1518, 1140, 9577, 16080, 2025, 2674, 21904, 2406, 1122, 9092, 11502, 5388, 1226, 1789, 1870, 1238, 2957, 13011, 1171, 2142, 13011, 119, 26324, 24187, 30525, 14603, 1132, 1189, 2927, 119, 1204, 190, 2011, 20689, 1518, 1140, 9577, 16080, 8627, 1238, 5353, 11910, 7745, 16791, 30525, 1114, 14934, 1972, 1959, 2055, 29214, 15879, 3660, 2563, 1324, 1765, 15073, 3343, 21453, 20288, 1176, 8929, 2461, 23640, 14702, 1110, 6517, 1146, 1267, 6649, 2536, 1110, 4772, 31009, 24187, 180, 5123, 1110, 9932, 1147, 2406, 23652, 3043, 4533, 1355, 1135, 7227, 1161, 488, 124, 130, 121, 1459, 488, 124, 132, 128, 128, 119, 1386, 17032, 17347, 1246, 5011, 4017, 1388, 10488, 3229, 1765, 5756, 4533, 8937, 24187, 180, 14810, 1238, 10623, 16266, 7394, 3002, 4529, 1870, 1758, 1386, 8482, 1427, 1163, 7500, 1163, 1116, 1383, 1404, 3590, 1171, 1518, 9800, 26441, 8265, 1163, 8929, 2461, 1651, 1361, 13011, 1388, 2103, 2364, 1261, 1765, 3660, 1659, 1386, 3062, 30659, 14582, 1163, 3263, 13395, 3813, 26992, 1135, 3263, 6898, 2463, 1662, 1336, 1161, 1202, 1105, 2825, 19553, 9240, 30656, 1135, 15885, 1161, 7908, 11954, 2685, 4193, 16863, 2066, 1285, 3723, 5385, 1238, 17300, 3002, 1190, 3199, 8520, 1388, 3780, 1959, 3062, 6875, 14582, 1163, 2406, 23652, 3043, 6517, 3674, 7552, 5381, 1489, 1108, 1109, 30558, 1175, 124, 132, 129, 130, 1260, 24602, 5645, 1132, 1175, 124, 132, 130, 123, 12878, 1383, 2291, 193, 29674, 30558, 1175, 124, 132, 131, 124, 1260, 162, 7776, 30558, 1147, 7546, 23652, 3750, 1175, 125, 123, 123, 128, 1718, 26722, 14520, 24281, 21775, 2406, 1122, 9092, 2323, 1161, 1135, 488, 125, 123, 1276, 14851, 1628, 1651, 7203, 2406, 1122, 9092, 2323, 8472, 3109, 180, 1161, 17347, 1246, 5011, 4017, 27914, 10087, 1355, 17347, 1246, 5011, 4017, 3050, 1105, 1121, 1626, 22871, 1230, 1446, 1135, 4966, 1171, 1518, 1301, 1259, 1267, 14283, 4017, 1161, 15989, 1462, 3050, 1105, 1121, 1626, 22871, 1230, 1446, 18934, 3942, 1289, 4017, 13935, 1461, 1888, 1161, 1135, 26404, 1109, 30558, 2105, 2006, 190, 5645, 1132, 31340, 5486, 7776, 30558, 1147, 7546, 23652, 3750, 31340, 21122, 1620, 1161, 1135, 1202, 1105, 1533, 1926, 15567, 1161, 10850, 21122, 1620, 1161, 1135, 3569, 158, 157, 15567, 1161, 10850, 21122, 1620, 1161, 1135, 14289, 15567, 1161, 10850, 21122, 1620, 1161, 1135, 4966, 15567, 1161, 10850, 21122, 1620, 1161, 1135, 8649, 173, 2323, 15567, 1161, 10850, 1171, 11384, 21122, 1620, 1161, 1135, 1200, 2588, 180, 15567, 21122, 1620, 1161, 11778, 184, 1575, 3116, 1273, 4735, 172, 2056, 2589, 1147, 5696, 488, 124, 132, 126, 131, 2056, 2589, 1147, 1293, 1555, 180, 2056, 2589, 1147, 1135, 14289, 1173, 15566, 157, 32001, 1424, 32000, 20036, 1628, 2683, 1277, 250, 13272, 16952, 5836, 8929, 2461, 1651, 7216, 11037, 5252, 1170, 488, 125, 123, 2829, 488, 124, 132, 126, 131, 1188, 1293, 1555, 180, 6700, 158, 15566, 1125, 8903, 2620, 1186, 8006, 24696, 1960, 1496, 1299, 1189, 8287, 244, 9092, 1354, 24696, 1960, 2648, 23995, 5650, 1158, 12228, 1128, 1188, 1158, 2768, 1125, 1158, 24722, 10427, 190, 1167, 1227, 3248, 24917, 1125, 8287, 11490, 13699, 1142, 2466, 20296, 12616, 4446, 5424, 1366, 1125, 8929, 2461, 1651, 2803, 1125, 5087, 8287, 244, 9092, 2624, 1167, 6517, 24003, 1125, 7300, 4364, 14301, 23309, 16867, 1190, 189, 8929, 2461, 1651, 1167, 14305, 2759, 184, 13881, 1518, 1140, 9577, 16080, 6096, 1197, 8287, 244, 9092, 2624, 4781, 1153, 1256, 2770, 5031, 5133, 3738, 1300, 1158, 20438, 1197, 6969, 1167, 1158, 20438, 1197, 4208, 1377, 11602, 2576, 1986, 1126, 2406, 10653, 1125, 1173, 2683, 1277, 250, 119, 1204, 190, 2011, 20689, 1518, 1140, 9577, 16080, 1110, 20780, 1300, 1207, 8700, 25476, 12825, 21849, 1167, 1114, 21113, 1125, 1173, 2683, 1277, 250, 2004, 4795, 2072, 1189, 23351, 11246, 1375, 5527, 8637, 16085, 1170, 15722, 1110, 249, 185, 2357, 20288, 1176, 8929, 2461, 23640, 1299, 12749, 6517, 10558, 29637, 1189, 7200, 8608, 20296, 119, 1173, 2683, 1277, 250, 4040, 1123, 1158, 3370, 8287, 9455, 1188, 19910, 1125, 488, 124, 130, 8793, 1653, 488, 124, 132, 128, 128, 119, 1527, 1835, 1188, 15714, 1125, 17347, 1118, 1388, 6535, 193, 1541, 17322, 1220, 1909, 9881, 4092, 1125, 25571, 1173, 2683, 1277, 250, 2368, 25537, 1571, 5031, 1125, 10623, 2571, 9695, 1186, 3002, 4058, 3365, 8482, 1148, 1256, 1207, 24073, 1317, 1116, 1383, 1404, 2923, 1167, 1188, 1158, 1518, 4922, 244, 1121, 4654, 4060, 3453, 3370, 13686, 1188, 1158, 20438, 1125, 8929, 2461, 1651, 12258, 4216, 1561, 9245, 1186, 9394, 1105, 13503, 1189, 2511, 2510, 1125, 6282, 16970, 2234, 1186, 3263, 4058, 2232, 5444, 193, 1662, 1336, 3263, 6255, 1197, 9240, 1125, 18564, 1164, 14630, 1314, 1295, 1158, 15885, 1197, 2604, 6235, 2780, 1655, 1717, 7407, 11052, 1295, 1197, 6282, 1300, 1207, 6969, 6111, 1137, 1190, 27223, 17300, 12258, 1110, 2072, 10562, 244, 1318, 10662, 2081, 21747, 176, 1364, 1186, 9261, 8287, 9455, 22341, 1416, 6897, 5702, 1424, 8276, 1200, 1538, 1314, 1175, 124, 132, 129, 130, 1260, 9915, 2961, 10427, 190, 1175, 124, 132, 130, 123, 1260, 8276, 1200, 1383, 1128, 25157, 15344, 1175, 124, 132, 131, 124, 1260, 8276, 24917, 1125, 8287, 11490, 1175, 125, 123, 123, 128, 1718, 20634, 1167, 16828, 5825, 2093, 2093, 23015, 244, 9092, 1354, 15393, 1227, 23841, 6298, 1720, 1495, 244, 9092, 1354, 24696, 1960, 5526, 24116, 1125, 15714, 23982, 1125, 17347, 1118, 27914, 9892, 1188, 15714, 23982, 1125, 17347, 1118, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 5277, 1167, 2195, 1259, 1267, 1164, 2794, 5519, 1276, 9536, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 18934, 3942, 1289, 1750, 1416, 1461, 22733, 1369, 1227, 3248, 1200, 1538, 1314, 1489, 24666, 1128, 1125, 1158, 24722, 10427, 190, 1489, 24666, 1128, 1227, 3248, 24917, 1125, 8287, 11490, 31894, 1125, 31805, 16392, 3796, 1366, 1197, 11733, 31894, 1125, 31805, 1197, 11733, 1125, 1282, 2188, 4365, 31894, 1125, 31805, 1197, 11733, 1125, 14512, 31894, 1125, 31805, 5277, 1197, 11733, 31894, 1125, 31805, 1714, 1897, 1197, 11733, 1167, 1197, 12594, 31894, 1125, 31805, 1197, 1200, 4004, 244, 1462, 31894, 1125, 1282, 3742, 2240, 184, 1575, 3116, 1273, 4735, 172, 8156, 1186, 2829, 488, 124, 132, 126, 131, 8156, 1188, 1293, 1555, 180, 8156, 1186, 25304, 15566, 1125, 14512, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 2683, 1277, 250, 13272, 16952, 5836, 8929, 2461, 1651, 7216, 11037, 5252, 1170, 488, 125, 123, 2829, 488, 124, 132, 126, 131, 1188, 1293, 1555, 180, 6700, 158, 15566, 1125, 8903, 2620, 1186, 8006, 24696, 1960, 1496, 1299, 1189, 8287, 244, 9092, 1354, 24696, 1960, 2648, 23995, 5650, 1158, 12228, 1128, 1188, 1158, 2768, 1125, 1158, 24722, 10427, 190, 1167, 1227, 3248, 24917, 1125, 8287, 11490, 13699, 1142, 2466, 20296, 12616, 4446, 5424, 1366, 1125, 8929, 2461, 1651, 2803, 1125, 5087, 8287, 244, 9092, 2624, 1167, 6517, 24003, 1125, 7300, 4364, 14301, 23309, 16867, 1190, 189, 8929, 2461, 1651, 1167, 14305, 2759, 184, 13881, 1518, 1140, 9577, 16080, 6096, 1197, 8287, 244, 9092, 2624, 4781, 1153, 1256, 2770, 5031, 5133, 3738, 1300, 1158, 20438, 1197, 6969, 1167, 1158, 20438, 1197, 4208, 1377, 11602, 2576, 1986, 1126, 2406, 10653, 1125, 1173, 2683, 1277, 250, 119, 1204, 190, 2011, 20689, 1518, 1140, 9577, 16080, 1110, 20780, 1300, 1207, 8700, 25476, 12825, 21849, 1167, 1114, 21113, 1125, 1173, 2683, 1277, 250, 2004, 4795, 2072, 1189, 23351, 11246, 1375, 5527, 8637, 16085, 1170, 15722, 1110, 249, 185, 2357, 20288, 1176, 8929, 2461, 23640, 1299, 12749, 6517, 10558, 29637, 1189, 7200, 8608, 20296, 119, 1173, 2683, 1277, 250, 4040, 1123, 1158, 3370, 8287, 9455, 1188, 19910, 1125, 488, 124, 130, 8793, 1653, 488, 124, 132, 128, 128, 119, 1527, 1835, 1188, 15714, 1125, 17347, 1118, 1388, 6535, 193, 1541, 17322, 1220, 1909, 9881, 4092, 1125, 25571, 1173, 2683, 1277, 250, 2368, 25537, 1571, 5031, 1125, 10623, 2571, 9695, 1186, 3002, 4058, 3365, 8482, 1148, 1256, 1207, 24073, 1317, 1116, 1383, 1404, 2923, 1167, 1188, 1158, 1518, 4922, 244, 1121, 4654, 4060, 3453, 3370, 13686, 1188, 1158, 20438, 1125, 8929, 2461, 1651, 12258, 4216, 1561, 9245, 1186, 9394, 1105, 13503, 1189, 2511, 2510, 1125, 6282, 16970, 2234, 1186, 3263, 4058, 2232, 5444, 193, 1662, 1336, 3263, 6255, 1197, 9240, 1125, 18564, 1164, 14630, 1314, 1295, 1158, 15885, 1197, 2604, 6235, 2780, 1655, 1717, 7407, 11052, 1295, 1197, 6282, 1300, 1207, 6969, 6111, 1137, 1190, 27223, 17300, 12258, 1110, 2072, 10562, 244, 1318, 10662, 2081, 21747, 176, 1364, 1186, 9261, 8287, 9455, 22341, 1416, 6897, 5702, 1424, 8276, 1200, 1538, 1314, 1175, 124, 132, 129, 130, 1260, 9915, 2961, 10427, 190, 1175, 124, 132, 130, 123, 1260, 8276, 1200, 1383, 1128, 25157, 15344, 1175, 124, 132, 131, 124, 1260, 8276, 24917, 1125, 8287, 11490, 1175, 125, 123, 123, 128, 1718, 20634, 1167, 16828, 5825, 2093, 2093, 23015, 244, 9092, 1354, 15393, 1227, 23841, 6298, 1720, 1495, 244, 9092, 1354, 24696, 1960, 5526, 24116, 1125, 15714, 23982, 1125, 17347, 1118, 27914, 9892, 1188, 15714, 23982, 1125, 17347, 1118, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 5277, 1167, 2195, 1259, 1267, 1164, 2794, 5519, 1276, 9536, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 18934, 3942, 1289, 1750, 1416, 1461, 22733, 1369, 1227, 3248, 1200, 1538, 1314, 1489, 24666, 1128, 1125, 1158, 24722, 10427, 190, 1489, 24666, 1128, 1227, 3248, 24917, 1125, 8287, 11490, 31894, 1125, 31805, 16392, 3796, 1366, 1197, 11733, 31894, 1125, 31805, 1197, 11733, 1125, 1282, 2188, 4365, 31894, 1125, 31805, 1197, 11733, 1125, 14512, 31894, 1125, 31805, 5277, 1197, 11733, 31894, 1125, 31805, 1714, 1897, 1197, 11733, 1167, 1197, 12594, 31894, 1125, 31805, 1197, 1200, 4004, 244, 1462, 31894, 1125, 1282, 3742, 2240, 184, 1575, 3116, 1273, 4735, 172, 8156, 1186, 2829, 488, 124, 132, 126, 131, 8156, 1188, 1293, 1555, 180, 8156, 1186, 25304, 15566, 1125, 14512, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 18946, 1161, 5011, 1161, 1135, 24031, 7007, 2257, 3016, 2060, 1135, 12386, 8423, 1161, 5011, 1161, 1135, 24031, 2499, 1965, 1758, 1239, 1704, 1161, 1135, 31511, 1171, 2481, 3283, 18860, 3312, 1429, 1161, 1135, 12047, 12879, 4741, 5772, 1449, 1202, 2249, 27546, 1237, 1129, 1352, 12636, 2488, 1135, 1110, 5838, 8189, 15229, 1173, 1301, 1354, 1117, 3480, 1142, 2504, 1238, 6324, 488, 126, 124, 119, 488, 124, 127, 131, 132, 1388, 18415, 1161, 1135, 18946, 1161, 5011, 1161, 1135, 24031, 7007, 3229, 3812, 1161, 1135, 7468, 1171, 15067, 2376, 2385, 9794, 1161, 1135, 24031, 2499, 1965, 1135, 18946, 1161, 5011, 1239, 1959, 8261, 1135, 8618, 6857, 21670, 109, 1161, 1135, 5011, 1161, 31784, 1119, 21470, 1171, 13601, 1135, 19916, 1202, 1105, 18903, 119, 1135, 3228, 1161, 1413, 5011, 119, 1147, 4445, 1324, 2017, 6716, 1171, 27128, 1161, 4578, 23891, 1226, 15067, 2376, 4445, 1171, 6031, 196, 14962, 1297, 13440, 1543, 2017, 25899, 1161, 18860, 3312, 3939, 1386, 1239, 22951, 1449, 1135, 1202, 2249, 1388, 17909, 1110, 1116, 24115, 1526, 1280, 22951, 1296, 18946, 1161, 5011, 121, 6067, 1135, 11910, 1526, 1280, 12742, 1449, 1151, 4687, 173, 21681, 119, 2000, 2491, 7175, 1135, 5783, 1161, 17586, 3441, 15282, 1626, 1161, 5011, 1523, 5137, 1147, 2464, 1161, 1135, 6775, 1329, 1432, 30630, 1161, 1135, 18946, 1161, 5011, 119, 1329, 2884, 7250, 1149, 1765, 28116, 1296, 1116, 5611, 2726, 1329, 2849, 1135, 1202, 2249, 9360, 1693, 6862, 1135, 5897, 1388, 160, 1614, 1135, 6775, 1161, 1135, 1202, 10463, 1135, 1116, 24115, 18946, 1161, 5011, 1826, 19256, 1943, 1104, 1765, 1227, 16919, 2141, 1135, 2017, 25899, 1161, 18860, 3312, 6099, 14113, 1135, 6527, 8971, 1161, 1135, 1110, 5838, 8189, 2795, 3615, 17115, 6527, 2009, 1496, 1386, 1239, 1110, 6644, 1161, 1110, 6086, 1324, 1135, 18565, 183, 1896, 186, 1171, 1135, 10283, 1161, 1135, 1202, 1105, 1533, 1926, 5204, 1226, 31784, 1119, 5407, 5011, 1163, 10592, 1656, 4093, 11910, 1161, 1135, 3228, 1161, 2730, 8273, 24115, 1202, 7203, 1150, 1778, 1172, 2982, 12912, 1192, 5838, 8189, 1266, 1145, 23529, 1163, 29186, 1810, 1602, 2023, 18946, 1161, 5011, 3976, 7357, 488, 124, 128, 119, 488, 125, 123, 124, 126, 121, 32001, 1424, 32000, 20036, 2359, 1116, 24115, 14698, 23982, 1838, 1468, 1158, 11034, 1491, 4054, 23982, 1227, 29905, 1795, 4780, 1357, 1299, 1189, 1197, 1408, 13713, 1723, 2072, 1197, 1408, 16827, 18860, 1573, 2805, 1125, 1158, 12879, 1214, 1177, 7656, 1965, 9601, 1215, 1170, 28679, 27546, 1237, 1129, 1352, 12636, 1215, 1158, 15229, 1110, 5838, 1172, 1460, 1173, 1301, 1354, 1117, 3480, 2993, 2086, 1170, 488, 126, 124, 2749, 488, 124, 127, 131, 132, 22341, 3235, 1227, 14698, 23982, 1227, 29905, 16318, 1424, 2330, 1700, 244, 1197, 10934, 8443, 1167, 15067, 6068, 1227, 29905, 1795, 4780, 1170, 14698, 23982, 1299, 2072, 15112, 1856, 1170, 1606, 3151, 5328, 1524, 1125, 17902, 1125, 1158, 1165, 1348, 1227, 31784, 3100, 1167, 11404, 1170, 1173, 1958, 1262, 16392, 1533, 1965, 6513, 1125, 3371, 5420, 3683, 1313, 1207, 14083, 1469, 1207, 15058, 1167, 1207, 2905, 8744, 1125, 3090, 4578, 119, 1256, 1207, 4445, 15067, 6068, 1167, 1207, 14358, 1125, 29222, 121, 8921, 2183, 1207, 2905, 17541, 1125, 18860, 1573, 6909, 1527, 1299, 12688, 1215, 1170, 28679, 1388, 3732, 1203, 1189, 1116, 24115, 1915, 1823, 12688, 14698, 23982, 121, 1808, 8700, 2830, 11103, 1823, 13286, 1473, 1215, 1189, 1400, 25157, 245, 5161, 1357, 5909, 3042, 1170, 3694, 1125, 1606, 1223, 2059, 1168, 25013, 23982, 3133, 2666, 2391, 1227, 13640, 1362, 1125, 1158, 23598, 1227, 14698, 1304, 15784, 3683, 2666, 1186, 2125, 1849, 1125, 1561, 5735, 1116, 24115, 8117, 2666, 6060, 1309, 1170, 28679, 1186, 14568, 10028, 1158, 3812, 27404, 1158, 4541, 1227, 4105, 1965, 1170, 1116, 24115, 14698, 23982, 21180, 1909, 2321, 1285, 1856, 1207, 2905, 17541, 1125, 18860, 1573, 2805, 121, 19321, 1158, 6527, 1336, 1227, 9209, 1110, 5838, 1172, 1460, 3615, 17115, 6527, 2009, 1496, 1527, 1299, 6711, 2519, 6086, 1469, 1170, 18565, 5006, 1277, 1167, 1170, 4637, 1125, 1158, 5204, 16392, 3796, 1366, 1256, 17902, 1125, 1158, 1165, 1348, 1227, 31784, 1119, 1256, 16348, 5695, 1197, 8700, 1227, 6513, 1125, 17902, 121, 15624, 1116, 24115, 1202, 7203, 1150, 1778, 1172, 2982, 26881, 30715, 2081, 1159, 1110, 5838, 1172, 1460, 1317, 29186, 172, 1299, 1170, 14698, 22698, 2757, 1170, 488, 124, 128, 2822, 488, 125, 123, 124, 126, 9994, 2038, 1197, 1116, 5611, 1541, 11034, 1690, 23982, 5704, 1194, 124, 1698, 2059, 1168, 25013, 23982, 1835, 1170, 488, 124, 127, 2829, 1167, 1170, 488, 124, 128, 3201, 488, 124, 131, 123, 123, 1194, 125, 1698, 2059, 1168, 25013, 23982, 1835, 488, 124, 131, 126, 124, 1167, 488, 124, 131, 126, 129, 5704, 159, 4691, 1120, 2504, 27398, 1438, 15271, 1260, 1202, 7203, 1150, 1778, 30878, 11779, 25699, 1170, 488, 124, 128, 2822, 488, 125, 123, 124, 126, 1167, 9601, 1116, 24115, 1170, 488, 125, 125, 3141, 488, 125, 123, 124, 127, 1718, 20634, 1167, 20117, 2072, 17994, 2093, 488, 1518, 4313, 1153, 8719, 1201, 175, 1121, 4790, 1606, 14214, 1518, 24115, 1243, 172, 1889, 1206, 182, 2360, 15766, 134, 1192, 3299, 178, 13430, 3167, 1325, 1107, 1208, 178, 1475, 1281, 2252, 4148, 1883, 3133, 6653, 1289, 16376, 1498, 1495, 1172, 1120, 2942, 17575, 12929, 1112, 1210, 3378, 488, 124, 126, 124, 1175, 124, 132, 129, 125, 1496, 488, 2356, 10170, 4978, 3551, 19505, 19877, 1304, 3466, 1121, 2504, 2232, 3477, 1606, 4291, 8170, 1491, 4054, 23982, 3133, 29749, 10777, 1125, 1158, 4105, 1511, 2357, 18757, 1106, 11456, 11088, 19800, 1292, 5485, 1252, 1242, 4748, 6721, 488, 125, 123, 123, 126, 26637, 1548, 1202, 2852, 1167, 1170, 5987, 1125, 12547, 2313, 8222, 1198, 1379, 1762, 6721, 488, 124, 132, 132, 125, 9994, 2624, 5825, 1424, 488, 31784, 1119, 179, 7055, 12498, 1136, 1214, 8605, 2100, 11377, 5345, 1125, 12547, 11645, 22187, 1628, 15282, 1369, 22478, 2073, 2376, 1119, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 1116, 24115, 14698, 23982, 1838, 1468, 1158, 11034, 1491, 4054, 23982, 1227, 29905, 1795, 4780, 1357, 1299, 1189, 1197, 1408, 13713, 1723, 2072, 1197, 1408, 16827, 18860, 1573, 2805, 1125, 1158, 12879, 1214, 1177, 7656, 1965, 9601, 1215, 1170, 28679, 27546, 1237, 1129, 1352, 12636, 1215, 1158, 15229, 1110, 5838, 1172, 1460, 1173, 1301, 1354, 1117, 3480, 2993, 2086, 1170, 488, 126, 124, 2749, 488, 124, 127, 131, 132, 22341, 3235, 1227, 14698, 23982, 1227, 29905, 16318, 1424, 2330, 1700, 244, 1197, 10934, 8443, 1167, 15067, 6068, 1227, 29905, 1795, 4780, 1170, 14698, 23982, 1299, 2072, 15112, 1856, 1170, 1606, 3151, 5328, 1524, 1125, 17902, 1125, 1158, 1165, 1348, 1227, 31784, 3100, 1167, 11404, 1170, 1173, 1958, 1262, 16392, 1533, 1965, 6513, 1125, 3371, 5420, 3683, 1313, 1207, 14083, 1469, 1207, 15058, 1167, 1207, 2905, 8744, 1125, 3090, 4578, 119, 1256, 1207, 4445, 15067, 6068, 1167, 1207, 14358, 1125, 29222, 121, 8921, 2183, 1207, 2905, 17541, 1125, 18860, 1573, 6909, 1527, 1299, 12688, 1215, 1170, 28679, 1388, 3732, 1203, 1189, 1116, 24115, 1915, 1823, 12688, 14698, 23982, 121, 1808, 8700, 2830, 11103, 1823, 13286, 1473, 1215, 1189, 1400, 25157, 245, 5161, 1357, 5909, 3042, 1170, 3694, 1125, 1606, 1223, 2059, 1168, 25013, 23982, 3133, 2666, 2391, 1227, 13640, 1362, 1125, 1158, 23598, 1227, 14698, 1304, 15784, 3683, 2666, 1186, 2125, 1849, 1125, 1561, 5735, 1116, 24115, 8117, 2666, 6060, 1309, 1170, 28679, 1186, 14568, 10028, 1158, 3812, 27404, 1158, 4541, 1227, 4105, 1965, 1170, 1116, 24115, 14698, 23982, 21180, 1909, 2321, 1285, 1856, 1207, 2905, 17541, 1125, 18860, 1573, 2805, 121, 19321, 1158, 6527, 1336, 1227, 9209, 1110, 5838, 1172, 1460, 3615, 17115, 6527, 2009, 1496, 1527, 1299, 6711, 2519, 6086, 1469, 1170, 18565, 5006, 1277, 1167, 1170, 4637, 1125, 1158, 5204, 16392, 3796, 1366, 1256, 17902, 1125, 1158, 1165, 1348, 1227, 31784, 1119, 1256, 16348, 5695, 1197, 8700, 1227, 6513, 1125, 17902, 121, 15624, 1116, 24115, 1202, 7203, 1150, 1778, 1172, 2982, 26881, 30715, 2081, 1159, 1110, 5838, 1172, 1460, 1317, 29186, 172, 1299, 1170, 14698, 22698, 2757, 1170, 488, 124, 128, 2822, 488, 125, 123, 124, 126, 9994, 2038, 1197, 1116, 5611, 1541, 11034, 1690, 23982, 5704, 1194, 124, 1698, 2059, 1168, 25013, 23982, 1835, 1170, 488, 124, 127, 2829, 1167, 1170, 488, 124, 128, 3201, 488, 124, 131, 123, 123, 1194, 125, 1698, 2059, 1168, 25013, 23982, 1835, 488, 124, 131, 126, 124, 1167, 488, 124, 131, 126, 129, 5704, 159, 4691, 1120, 2504, 27398, 1438, 15271, 1260, 1202, 7203, 1150, 1778, 30878, 11779, 25699, 1170, 488, 124, 128, 2822, 488, 125, 123, 124, 126, 1167, 9601, 1116, 24115, 1170, 488, 125, 125, 3141, 488, 125, 123, 124, 127, 1718, 20634, 1167, 20117, 2072, 17994, 2093, 488, 1518, 4313, 1153, 8719, 1201, 175, 1121, 4790, 1606, 14214, 1518, 24115, 1243, 172, 1889, 1206, 182, 2360, 15766, 134, 1192, 3299, 178, 13430, 3167, 1325, 1107, 1208, 178, 1475, 1281, 2252, 4148, 1883, 3133, 6653, 1289, 16376, 1498, 1495, 1172, 1120, 2942, 17575, 12929, 1112, 1210, 3378, 488, 124, 126, 124, 1175, 124, 132, 129, 125, 1496, 488, 2356, 10170, 4978, 3551, 19505, 19877, 1304, 3466, 1121, 2504, 2232, 3477, 1606, 4291, 8170, 1491, 4054, 23982, 3133, 29749, 10777, 1125, 1158, 4105, 1511, 2357, 18757, 1106, 11456, 11088, 19800, 1292, 5485, 1252, 1242, 4748, 6721, 488, 125, 123, 123, 126, 26637, 1548, 1202, 2852, 1167, 1170, 5987, 1125, 12547, 2313, 8222, 1198, 1379, 1762, 6721, 488, 124, 132, 132, 125, 9994, 2624, 5825, 1424, 488, 31784, 1119, 179, 7055, 12498, 1136, 1214, 8605, 2100, 11377, 5345, 1125, 12547, 11645, 22187, 1628, 15282, 1369, 22478, 2073, 2376, 1119, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18805, 488, 124, 125, 4898, 1125, 18378, 2805, 8665, 27701, 5940, 1304, 7397, 4349, 1227, 6455, 30967, 116, 1508, 1318, 4235, 16338, 10903, 1304, 1274, 31605, 20096, 1303, 1835, 488, 124, 132, 128, 124, 1167, 488, 124, 132, 128, 128, 1300, 1170, 12516, 2690, 1235, 3436, 28836, 21937, 1523, 1317, 18989, 1835, 1158, 1622, 1227, 2879, 1125, 2738, 1167, 1170, 4319, 1227, 2879, 1125, 2798, 121, 9908, 2004, 1913, 4643, 1473, 1215, 1282, 15297, 24142, 1125, 1282, 4303, 1137, 3978, 7879, 1227, 20934, 20481, 29619, 1955, 15640, 6036, 1370, 488, 126, 128, 5916, 180, 3392, 10884, 1188, 6676, 1125, 18234, 22581, 1125, 4726, 18993, 2144, 1104, 3042, 1188, 1408, 1125, 488, 124, 128, 123, 12085, 5291, 1125, 2962, 13505, 6696, 6262, 30291, 1496, 1170, 7077, 8524, 4658, 7492, 1188, 11203, 1187, 1158, 3028, 11734, 2486, 3798, 15624, 3543, 1125, 12516, 14857, 488, 130, 121, 126, 19185, 1175, 130, 121, 124, 127, 128, 1186, 488, 124, 132, 128, 124, 1576, 1867, 4438, 2693, 1475, 4010, 1188, 2989, 23931, 2079, 1158, 26617, 1303, 14011, 1172, 3849, 1125, 1293, 2624, 116, 1167, 23887, 1475, 1197, 1202, 1104, 1134, 11184, 1527, 1895, 25742, 1370, 1207, 5927, 2137, 1222, 128, 128, 132, 21185, 1500, 5277, 1496, 1222, 124, 132, 130, 17877, 1909, 488, 129, 7404, 4519, 116, 1167, 1222, 127, 125, 17877, 1561, 4188, 15172, 2042, 1197, 1557, 1298, 9105, 1317, 7758, 1125, 18378, 2805, 1167, 1317, 18762, 13469, 1125, 1158, 10613, 21253, 17526, 1334, 1960, 3202, 1366, 13076, 196, 2805, 1548, 1202, 2930, 193, 10027, 1167, 1125, 6389, 14988, 1125, 11805, 1105, 7002, 196, 2805, 121, 1424, 1424, 155, 3915, 6824, 2288, 1456, 1105, 109, 488, 9901, 2983, 2288, 180, 5428, 172, 1158, 4541, 2391, 1125, 5753, 1974, 488, 124, 132, 128, 126, 119, 1300, 20344, 1662, 488, 126, 127, 123, 1204, 152, 488, 127, 151, 121, 1352, 124, 125, 121, 26751, 3618, 15363, 1170, 6005, 2658, 1186, 4235, 9911, 6175, 11835, 1167, 6400, 1370, 1667, 5706, 1125, 4341, 1176, 4484, 119, 1275, 4347, 1199, 3042, 1300, 1170, 3360, 15572, 19986, 18661, 1167, 2368, 1535, 17770, 1199, 1313, 1318, 3688, 4096, 1125, 22834, 1186, 1805, 22696, 1300, 2320, 1576, 3559, 1290, 4183, 6917, 1186, 1594, 22107, 1300, 1158, 1222, 124, 132, 130, 119, 1188, 1282, 6940, 20449, 13469, 1125, 4428, 5216, 1259, 9084, 1125, 18378, 2805, 8732, 26361, 22195, 2508, 1741, 1424, 7823, 1125, 5753, 1974, 488, 124, 132, 128, 126, 1197, 488, 124, 125, 2133, 1842, 1125, 18378, 12343, 1318, 10113, 1125, 19009, 2985, 5391, 1303, 1186, 4428, 12132, 1125, 6780, 1202, 2288, 1456, 1105, 5867, 1105, 2983, 2288, 9630, 1167, 1125, 3699, 1306, 1929, 191, 1541, 134, 6113, 1197, 29672, 1473, 1805, 1608, 1234, 1188, 25994, 1125, 1158, 4235, 2515, 172, 1170, 1874, 1125, 1440, 4755, 11488, 1167, 5474, 17994, 1424, 488, 124, 125, 4898, 13076, 196, 2805, 5445, 1630, 3740, 8233, 1175, 124, 132, 128, 124, 122, 124, 132, 128, 128, 1496, 10759, 24147, 2114, 1253, 5108, 1188, 2803, 1304, 5163, 11019, 1227, 5796, 184, 1374, 1496, 488, 125, 123, 124, 125, 119, 488, 131, 123, 2871, 24174, 244, 3226, 1125, 28111, 1248, 4111, 4023, 28870, 5825, 1424, 1808, 488, 124, 125, 2133, 1842, 1125, 18378, 12343, 1300, 12764, 120, 17825, 1155, 1808, 488, 124, 125, 2133, 1842, 1125, 18378, 2805, 1186, 488, 124, 132, 128, 127, 122, 128, 128, 9321, 15410, 4023, 8039, 244, 4538, 16338, 1186, 2315, 5526, 5465, 5269, 1304, 1274, 4349, 16338, 5526, 10248, 2500, 15601, 1188, 18378, 2805, 114, 32001, 1424, 32000, 20036, 3616, 488, 124, 125, 1306, 1627, 1161, 18378, 2805, 11105, 5940, 12174, 4349, 27701, 1161, 1135, 1173, 1261, 22629, 116, 1239, 1151, 4578, 2283, 4349, 1734, 1501, 7467, 7368, 2910, 488, 124, 132, 128, 124, 1171, 488, 124, 132, 128, 128, 1238, 1135, 12516, 5388, 1296, 1135, 1235, 5018, 16843, 1161, 9106, 1523, 1147, 1135, 16957, 2910, 1135, 2283, 1161, 4151, 1171, 1135, 10220, 1161, 6384, 121, 3842, 2025, 22255, 1449, 1135, 12943, 9756, 1161, 1135, 18138, 3978, 7879, 1227, 20934, 10177, 7055, 14860, 3571, 2055, 488, 126, 128, 5916, 11184, 31755, 1238, 7739, 29783, 4052, 16776, 18993, 7769, 1147, 1792, 2095, 488, 124, 128, 123, 17515, 1355, 1135, 6605, 1161, 1543, 19601, 5547, 6262, 30291, 1496, 1324, 9113, 1110, 4823, 1161, 2182, 22537, 1163, 7634, 1135, 11632, 2458, 6043, 12516, 1463, 488, 130, 121, 126, 12851, 4209, 2102, 1175, 130, 121, 124, 127, 128, 1147, 488, 124, 132, 128, 124, 1576, 8009, 18980, 1147, 10155, 1324, 1135, 2989, 9837, 9668, 1135, 5645, 2177, 27524, 1119, 7194, 14816, 1161, 1293, 2624, 116, 1171, 1135, 1202, 1104, 1134, 2007, 1113, 28605, 1341, 2629, 1135, 15867, 1132, 30025, 1222, 128, 128, 132, 1175, 9657, 3781, 1496, 1222, 124, 132, 130, 13298, 2019, 488, 129, 2511, 1243, 5989, 1496, 1171, 1222, 127, 125, 13298, 2019, 8190, 8792, 22220, 2458, 9105, 10553, 1161, 18378, 2805, 1171, 10553, 14654, 1161, 1135, 1266, 10646, 1192, 1107, 1105, 1334, 3043, 10613, 1161, 18378, 2805, 1548, 1202, 2930, 193, 10027, 1171, 11805, 1105, 7002, 196, 2805, 22362, 8732, 3915, 6824, 2288, 1456, 1105, 109, 9901, 2983, 2288, 180, 8720, 1765, 3901, 3545, 1135, 488, 124, 132, 128, 126, 16794, 119, 15289, 1110, 20344, 1662, 488, 126, 127, 123, 1204, 152, 488, 127, 151, 121, 1352, 124, 125, 121, 1175, 1122, 2055, 2142, 1135, 3284, 1907, 1147, 1135, 10244, 1135, 5727, 8641, 1171, 2055, 2351, 19154, 6409, 3438, 6561, 1238, 1135, 27098, 6300, 1171, 2669, 7067, 2127, 1110, 11007, 3688, 20575, 1106, 8096, 1238, 1135, 10828, 1576, 1192, 2226, 5700, 20660, 12419, 1147, 1765, 12886, 1238, 1135, 1222, 124, 132, 130, 119, 1355, 1135, 10537, 14654, 17118, 1161, 1135, 18378, 2805, 10244, 174, 6495, 10177, 1105, 1500, 13776, 6129, 1135, 488, 124, 132, 128, 126, 16794, 1161, 1135, 488, 124, 125, 1306, 1627, 1161, 18378, 12343, 1110, 10113, 1161, 19009, 1463, 16591, 1147, 12886, 1161, 6780, 1202, 2288, 1456, 1105, 5867, 1105, 2983, 2288, 9630, 1171, 3699, 1306, 1929, 191, 1541, 134, 1704, 1161, 1135, 29672, 1429, 21302, 1355, 1135, 2283, 1161, 1135, 10244, 1463, 9463, 2470, 1135, 21265, 9663, 4807, 11114, 1194, 124, 125, 7456, 1161, 18378, 2805, 5445, 1130, 3740, 8233, 1175, 124, 132, 128, 124, 122, 124, 132, 128, 128, 1496, 10759, 24147, 2114, 3954, 3130, 13739, 10418, 1446, 5796, 184, 1374, 1496, 488, 125, 123, 124, 125, 119, 488, 131, 123, 2871, 1175, 2403, 3103, 1449, 28111, 1248, 4111, 4023, 26722, 14520, 14860, 488, 124, 125, 1306, 1627, 1161, 18378, 12343, 1238, 12764, 120, 17825, 2238, 488, 124, 125, 1306, 1627, 1161, 18378, 2805, 1147, 488, 124, 132, 128, 127, 122, 128, 128, 9321, 7522, 4023, 20616, 7338, 1149, 1147, 2315, 12063, 2283, 4349, 3571, 1628, 4536, 3571, 1147, 18378, 2805, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 488, 124, 125, 1306, 1627, 1161, 18378, 2805, 11105, 5940, 12174, 4349, 27701, 1161, 1135, 1173, 1261, 22629, 116, 1239, 1151, 4578, 2283, 4349, 1734, 1501, 7467, 7368, 2910, 488, 124, 132, 128, 124, 1171, 488, 124, 132, 128, 128, 1238, 1135, 12516, 5388, 1296, 1135, 1235, 5018, 16843, 1161, 9106, 1523, 1147, 1135, 16957, 2910, 1135, 2283, 1161, 4151, 1171, 1135, 10220, 1161, 6384, 121, 3842, 2025, 22255, 1449, 1135, 12943, 9756, 1161, 1135, 18138, 3978, 7879, 1227, 20934, 10177, 7055, 14860, 3571, 2055, 488, 126, 128, 5916, 11184, 31755, 1238, 7739, 29783, 4052, 16776, 18993, 7769, 1147, 1792, 2095, 488, 124, 128, 123, 17515, 1355, 1135, 6605, 1161, 1543, 19601, 5547, 6262, 30291, 1496, 1324, 9113, 1110, 4823, 1161, 2182, 22537, 1163, 7634, 1135, 11632, 2458, 6043, 12516, 1463, 488, 130, 121, 126, 12851, 4209, 2102, 1175, 130, 121, 124, 127, 128, 1147, 488, 124, 132, 128, 124, 1576, 8009, 18980, 1147, 10155, 1324, 1135, 2989, 9837, 9668, 1135, 5645, 2177, 27524, 1119, 7194, 14816, 1161, 1293, 2624, 116, 1171, 1135, 1202, 1104, 1134, 2007, 1113, 28605, 1341, 2629, 1135, 15867, 1132, 30025, 1222, 128, 128, 132, 1175, 9657, 3781, 1496, 1222, 124, 132, 130, 13298, 2019, 488, 129, 2511, 1243, 5989, 1496, 1171, 1222, 127, 125, 13298, 2019, 8190, 8792, 22220, 2458, 9105, 10553, 1161, 18378, 2805, 1171, 10553, 14654, 1161, 1135, 1266, 10646, 1192, 1107, 1105, 1334, 3043, 10613, 1161, 18378, 2805, 1548, 1202, 2930, 193, 10027, 1171, 11805, 1105, 7002, 196, 2805, 22362, 8732, 3915, 6824, 2288, 1456, 1105, 109, 9901, 2983, 2288, 180, 8720, 1765, 3901, 3545, 1135, 488, 124, 132, 128, 126, 16794, 119, 15289, 1110, 20344, 1662, 488, 126, 127, 123, 1204, 152, 488, 127, 151, 121, 1352, 124, 125, 121, 1175, 1122, 2055, 2142, 1135, 3284, 1907, 1147, 1135, 10244, 1135, 5727, 8641, 1171, 2055, 2351, 19154, 6409, 3438, 6561, 1238, 1135, 27098, 6300, 1171, 2669, 7067, 2127, 1110, 11007, 3688, 20575, 1106, 8096, 1238, 1135, 10828, 1576, 1192, 2226, 5700, 20660, 12419, 1147, 1765, 12886, 1238, 1135, 1222, 124, 132, 130, 119, 1355, 1135, 10537, 14654, 17118, 1161, 1135, 18378, 2805, 10244, 174, 6495, 10177, 1105, 1500, 13776, 6129, 1135, 488, 124, 132, 128, 126, 16794, 1161, 1135, 488, 124, 125, 1306, 1627, 1161, 18378, 12343, 1110, 10113, 1161, 19009, 1463, 16591, 1147, 12886, 1161, 6780, 1202, 2288, 1456, 1105, 5867, 1105, 2983, 2288, 9630, 1171, 3699, 1306, 1929, 191, 1541, 134, 1704, 1161, 1135, 29672, 1429, 21302, 1355, 1135, 2283, 1161, 1135, 10244, 1463, 9463, 2470, 1135, 21265, 9663, 4807, 11114, 1194, 124, 125, 7456, 1161, 18378, 2805, 5445, 1130, 3740, 8233, 1175, 124, 132, 128, 124, 122, 124, 132, 128, 128, 1496, 10759, 24147, 2114, 3954, 3130, 13739, 10418, 1446, 5796, 184, 1374, 1496, 488, 125, 123, 124, 125, 119, 488, 131, 123, 2871, 1175, 2403, 3103, 1449, 28111, 1248, 4111, 4023, 26722, 14520, 14860, 488, 124, 125, 1306, 1627, 1161, 18378, 12343, 1238, 12764, 120, 17825, 2238, 488, 124, 125, 1306, 1627, 1161, 18378, 2805, 1147, 488, 124, 132, 128, 127, 122, 128, 128, 9321, 7522, 4023, 20616, 7338, 1149, 1147, 2315, 12063, 2283, 4349, 3571, 1628, 4536, 3571, 1147, 18378, 2805, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 21311, 7060, 10837, 186, 5520, 5252, 1170, 488, 125, 129, 2798, 488, 124, 132, 127, 130, 1188, 1671, 1263, 13278, 12387, 3551, 18605, 1299, 1189, 29542, 1167, 8325, 7213, 1152, 3595, 1517, 14231, 1720, 7060, 10837, 5945, 1299, 20116, 1568, 4796, 1594, 1408, 6018, 19412, 1215, 1207, 6804, 13165, 1227, 26015, 7823, 31249, 19619, 1158, 14580, 1167, 1158, 15038, 12870, 31016, 1170, 6018, 29542, 8324, 24130, 1188, 17220, 5445, 1289, 3123, 3672, 2069, 5305, 2585, 1527, 1281, 14277, 1469, 24242, 1352, 2042, 2198, 1167, 1252, 3567, 195, 20169, 183, 2244, 121, 3767, 28064, 1527, 7354, 8328, 22497, 1197, 16801, 4273, 7009, 7745, 1105, 3151, 5509, 1814, 1913, 4202, 16940, 22529, 1186, 488, 124, 132, 131, 127, 1571, 8685, 1104, 22141, 1227, 8579, 121, 1768, 21450, 6349, 1643, 4685, 1197, 1106, 4519, 1186, 488, 124, 132, 131, 130, 1167, 7358, 21290, 1125, 1282, 2705, 16084, 1186, 488, 124, 132, 131, 132, 121, 6218, 16934, 29920, 10560, 9715, 1227, 2658, 21045, 13400, 2335, 2477, 2851, 25700, 9901, 1342, 1129, 3988, 1357, 19619, 1170, 31107, 1255, 7993, 1847, 1378, 12614, 1167, 1357, 12459, 1125, 2368, 1109, 3148, 1213, 6113, 1460, 17537, 1125, 31107, 1255, 1256, 11499, 1170, 7685, 3365, 1299, 4374, 1188, 9156, 31265, 5464, 1186, 1173, 1660, 5650, 9436, 10837, 5945, 5115, 1345, 1317, 2424, 16191, 1125, 6040, 3360, 9107, 2487, 2941, 9536, 19738, 1167, 7354, 1170, 21091, 1136, 30785, 1125, 1158, 13234, 19130, 8605, 2163, 1167, 1125, 13234, 16324, 121, 10302, 15535, 1793, 31772, 1125, 9436, 6044, 191, 1571, 16801, 1125, 6389, 6785, 9436, 10837, 5945, 5617, 1207, 10910, 3425, 1541, 1256, 1170, 3418, 20954, 3123, 1167, 1111, 1538, 243, 3576, 1186, 8207, 1651, 2620, 8922, 1215, 6780, 22480, 5914, 2331, 1167, 1425, 1234, 1215, 17426, 26213, 4603, 1554, 3847, 2932, 3418, 14882, 1170, 5623, 3248, 1227, 11639, 1188, 2801, 1186, 488, 124, 132, 132, 129, 7745, 3249, 1194, 3681, 1262, 1266, 8451, 1333, 1659, 14363, 120, 7914, 1328, 1222, 2194, 5186, 119, 29749, 1197, 15644, 1925, 1335, 14272, 5147, 3156, 19832, 19401, 488, 125, 119, 5701, 488, 131, 123, 125, 120, 131, 123, 126, 3050, 29710, 120, 7914, 1328, 1222, 2194, 5186, 119, 4608, 1207, 1382, 2335, 18870, 17811, 7118, 22497, 1125, 1158, 1173, 1660, 5650, 5701, 488, 128, 126, 128, 4401, 1245, 4101, 1439, 6291, 1183, 8170, 1992, 119, 11449, 6453, 1454, 17618, 2605, 31958, 2915, 1167, 15644, 1925, 24312, 29946, 5701, 488, 126, 126, 132, 2895, 15079, 1515, 1125, 20191, 119, 488, 125, 123, 123, 125, 122, 123, 128, 122, 123, 127, 119, 5701, 488, 124, 128, 106, 125, 127, 1306, 1929, 1346, 488, 125, 123, 123, 124, 122, 124, 125, 122, 124, 128, 119, 5701, 488, 124, 131, 1530, 1222, 1173, 1323, 3698, 1121, 6883, 1108, 3167, 3698, 1121, 1108, 4140, 4847, 1886, 1493, 1323, 3698, 21806, 1167, 1192, 22346, 1125, 13111, 1323, 3698, 1766, 180, 2885, 3698, 6533, 21910, 1173, 193, 14451, 2960, 23435, 31958, 1262, 1152, 3595, 1517, 5526, 31752, 19130, 8156, 1186, 2798, 488, 124, 132, 127, 130, 8156, 1188, 1671, 1263, 13278, 12387, 3551, 1925, 5383, 1843, 133, 2628, 175, 3421, 15964, 10026, 8805, 32001, 1424, 32000, 20036, 1720, 7060, 10837, 186, 5520, 9204, 1238, 6384, 488, 125, 129, 119, 488, 124, 132, 127, 130, 1147, 1671, 1263, 13278, 12387, 3551, 18605, 1239, 1110, 15476, 1171, 12871, 1107, 1446, 1352, 3595, 9663, 180, 11114, 1720, 7060, 10837, 5945, 1602, 2023, 20805, 1163, 1135, 17241, 28568, 8779, 1161, 6372, 3976, 1110, 6176, 7227, 121, 4967, 1386, 17447, 14742, 18938, 1171, 22752, 1135, 6176, 15476, 1895, 9055, 1589, 1163, 17220, 5445, 1289, 3123, 1226, 2197, 8937, 2468, 1386, 1280, 177, 1164, 4737, 24242, 1352, 2042, 2198, 1171, 1252, 3567, 195, 20169, 183, 2244, 121, 1459, 5947, 12910, 119, 1386, 7905, 1135, 8717, 1626, 11299, 1161, 4273, 7009, 2885, 2984, 10177, 1120, 1940, 21093, 1814, 1913, 4202, 8642, 4353, 1463, 8226, 1147, 488, 124, 132, 131, 127, 1449, 8685, 1104, 22141, 1227, 8579, 121, 2133, 2491, 8226, 1643, 4685, 1197, 1106, 4519, 1147, 488, 124, 132, 131, 130, 1171, 7358, 21290, 1125, 1282, 2705, 16084, 1147, 488, 124, 132, 131, 132, 121, 7013, 12223, 21093, 10560, 9715, 1227, 9058, 16736, 1135, 5013, 1161, 1110, 30484, 119, 25700, 9901, 1342, 1129, 3988, 2000, 2676, 11585, 1135, 1714, 1255, 1161, 1167, 1608, 1132, 15681, 1171, 2712, 3016, 1163, 29857, 9360, 1324, 1135, 2155, 17537, 1161, 1714, 1255, 1163, 9472, 1135, 7685, 1302, 2155, 1386, 13510, 1388, 160, 1614, 21507, 1163, 1173, 28648, 12906, 9436, 10837, 5945, 7645, 1589, 1324, 1135, 14103, 2882, 1161, 6750, 20226, 9356, 3813, 2941, 9536, 6453, 1992, 3603, 1171, 7905, 1110, 8048, 5454, 1267, 1226, 13234, 19130, 8605, 2163, 1171, 13234, 16324, 121, 1192, 15577, 1132, 7645, 2111, 1161, 9436, 6044, 191, 1355, 1254, 2527, 1125, 6389, 6785, 9436, 10837, 5945, 10919, 1135, 5379, 3918, 1634, 1226, 1135, 3418, 20954, 3123, 1167, 1111, 1538, 243, 3576, 1186, 8207, 1651, 2620, 18840, 1449, 6780, 22480, 5914, 2331, 1171, 1139, 2677, 1589, 1449, 17426, 26213, 4603, 1554, 3847, 2192, 3418, 6971, 1135, 5623, 8276, 1227, 11639, 1147, 2801, 1147, 488, 124, 132, 132, 129, 7745, 3249, 1194, 3681, 1262, 1266, 8451, 1333, 1659, 14363, 120, 7914, 1328, 1222, 2194, 5186, 119, 29749, 1197, 15644, 1925, 1335, 14272, 5147, 3156, 19832, 19401, 488, 125, 119, 5701, 488, 131, 123, 125, 120, 131, 123, 126, 3050, 29710, 120, 7914, 1328, 1222, 2194, 5186, 119, 4608, 1207, 1382, 2335, 18870, 17811, 7118, 22497, 1125, 1158, 1173, 1660, 5650, 5701, 488, 128, 126, 128, 4401, 1245, 4101, 1439, 6291, 1183, 8170, 1992, 119, 11449, 6453, 1454, 17618, 2605, 31958, 2915, 1167, 15644, 1925, 24312, 29946, 5701, 488, 126, 126, 132, 2895, 15079, 1515, 1125, 20191, 119, 488, 125, 123, 123, 125, 122, 123, 128, 122, 123, 127, 119, 5701, 488, 124, 128, 106, 125, 127, 1306, 1929, 1346, 488, 125, 123, 123, 124, 122, 124, 125, 122, 124, 128, 119, 5701, 488, 124, 131, 1530, 1222, 1173, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1194, 161, 3595, 15476, 1628, 194, 1470, 12871, 1107, 2056, 2589, 1147, 6384, 488, 124, 132, 127, 130, 2056, 7963, 1147, 1671, 1263, 13278, 12387, 3551, 1925, 5383, 1668, 133, 3728, 175, 3421, 15964, 12225, 1589, 17751, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1720, 7060, 10837, 186, 5520, 9204, 1238, 6384, 488, 125, 129, 119, 488, 124, 132, 127, 130, 1147, 1671, 1263, 13278, 12387, 3551, 18605, 1239, 1110, 15476, 1171, 12871, 1107, 1446, 1352, 3595, 9663, 180, 11114, 1720, 7060, 10837, 5945, 1602, 2023, 20805, 1163, 1135, 17241, 28568, 8779, 1161, 6372, 3976, 1110, 6176, 7227, 121, 4967, 1386, 17447, 14742, 18938, 1171, 22752, 1135, 6176, 15476, 1895, 9055, 1589, 1163, 17220, 5445, 1289, 3123, 1226, 2197, 8937, 2468, 1386, 1280, 177, 1164, 4737, 24242, 1352, 2042, 2198, 1171, 1252, 3567, 195, 20169, 183, 2244, 121, 1459, 5947, 12910, 119, 1386, 7905, 1135, 8717, 1626, 11299, 1161, 4273, 7009, 2885, 2984, 10177, 1120, 1940, 21093, 1814, 1913, 4202, 8642, 4353, 1463, 8226, 1147, 488, 124, 132, 131, 127, 1449, 8685, 1104, 22141, 1227, 8579, 121, 2133, 2491, 8226, 1643, 4685, 1197, 1106, 4519, 1147, 488, 124, 132, 131, 130, 1171, 7358, 21290, 1125, 1282, 2705, 16084, 1147, 488, 124, 132, 131, 132, 121, 7013, 12223, 21093, 10560, 9715, 1227, 9058, 16736, 1135, 5013, 1161, 1110, 30484, 119, 25700, 9901, 1342, 1129, 3988, 2000, 2676, 11585, 1135, 1714, 1255, 1161, 1167, 1608, 1132, 15681, 1171, 2712, 3016, 1163, 29857, 9360, 1324, 1135, 2155, 17537, 1161, 1714, 1255, 1163, 9472, 1135, 7685, 1302, 2155, 1386, 13510, 1388, 160, 1614, 21507, 1163, 1173, 28648, 12906, 9436, 10837, 5945, 7645, 1589, 1324, 1135, 14103, 2882, 1161, 6750, 20226, 9356, 3813, 2941, 9536, 6453, 1992, 3603, 1171, 7905, 1110, 8048, 5454, 1267, 1226, 13234, 19130, 8605, 2163, 1171, 13234, 16324, 121, 1192, 15577, 1132, 7645, 2111, 1161, 9436, 6044, 191, 1355, 1254, 2527, 1125, 6389, 6785, 9436, 10837, 5945, 10919, 1135, 5379, 3918, 1634, 1226, 1135, 3418, 20954, 3123, 1167, 1111, 1538, 243, 3576, 1186, 8207, 1651, 2620, 18840, 1449, 6780, 22480, 5914, 2331, 1171, 1139, 2677, 1589, 1449, 17426, 26213, 4603, 1554, 3847, 2192, 3418, 6971, 1135, 5623, 8276, 1227, 11639, 1147, 2801, 1147, 488, 124, 132, 132, 129, 7745, 3249, 1194, 3681, 1262, 1266, 8451, 1333, 1659, 14363, 120, 7914, 1328, 1222, 2194, 5186, 119, 29749, 1197, 15644, 1925, 1335, 14272, 5147, 3156, 19832, 19401, 488, 125, 119, 5701, 488, 131, 123, 125, 120, 131, 123, 126, 3050, 29710, 120, 7914, 1328, 1222, 2194, 5186, 119, 4608, 1207, 1382, 2335, 18870, 17811, 7118, 22497, 1125, 1158, 1173, 1660, 5650, 5701, 488, 128, 126, 128, 4401, 1245, 4101, 1439, 6291, 1183, 8170, 1992, 119, 11449, 6453, 1454, 17618, 2605, 31958, 2915, 1167, 15644, 1925, 24312, 29946, 5701, 488, 126, 126, 132, 2895, 15079, 1515, 1125, 20191, 119, 488, 125, 123, 123, 125, 122, 123, 128, 122, 123, 127, 119, 5701, 488, 124, 128, 106, 125, 127, 1306, 1929, 1346, 488, 125, 123, 123, 124, 122, 124, 125, 122, 124, 128, 119, 5701, 488, 124, 131, 1530, 1222, 1173, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1323, 3698, 7487, 1171, 3698, 7487, 1161, 1173, 28648, 2621, 1194, 161, 3595, 15476, 1628, 194, 1470, 12871, 1107, 2056, 2589, 1147, 6384, 488, 124, 132, 127, 130, 2056, 7963, 1147, 1671, 1263, 13278, 12387, 3551, 1925, 5383, 1668, 133, 3728, 175, 3421, 15964, 12225, 1589, 17751, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 148, 1712, 176, 4603, 1140, 2982, 9204, 1238, 4151, 488, 125, 127, 119, 488, 124, 132, 130, 131, 1147, 18458, 3683, 7219, 3770, 2086, 1239, 1110, 9197, 15476, 9663, 180, 11114, 2902, 1712, 176, 4603, 28399, 1239, 1135, 15538, 1161, 3991, 13373, 182, 4744, 1518, 1122, 1412, 1353, 180, 30130, 1154, 1118, 2433, 1110, 3218, 1149, 6644, 1161, 1135, 4966, 8006, 1161, 11673, 2344, 2544, 14433, 1110, 6644, 1161, 1135, 31245, 1161, 27501, 3825, 5057, 20284, 1110, 21670, 1147, 1135, 17921, 3948, 180, 1209, 30482, 1171, 1135, 7219, 3770, 1119, 5890, 1322, 11480, 1163, 1548, 8982, 2114, 1171, 1200, 24588, 6745, 1575, 3985, 1671, 1183, 1118, 9046, 1173, 6026, 2988, 26544, 1712, 176, 4603, 28399, 21605, 1355, 3190, 174, 16679, 6815, 5761, 1147, 18458, 6093, 6226, 26372, 4882, 1171, 31740, 1355, 1135, 1173, 10584, 1767, 1147, 488, 124, 132, 132, 129, 119, 2293, 11085, 1163, 9485, 2468, 2293, 7905, 1110, 16920, 1171, 2491, 1110, 15476, 1388, 10488, 190, 4713, 186, 1586, 30361, 3018, 1161, 2397, 2562, 14624, 1254, 2527, 1125, 31282, 488, 125, 123, 124, 125, 134, 8226, 2670, 1135, 2220, 1209, 1712, 176, 1518, 14605, 1543, 1135, 10435, 1161, 8200, 2615, 1452, 1810, 15055, 17123, 1285, 488, 125, 123, 124, 127, 134, 1147, 488, 125, 123, 124, 128, 119, 1341, 1463, 5684, 1135, 488, 128, 2804, 4045, 1161, 1135, 31794, 16794, 1161, 1135, 29529, 1353, 1575, 30558, 121, 1459, 488, 125, 123, 124, 129, 119, 1341, 9917, 1135, 1200, 1764, 2324, 3913, 24986, 10750, 29053, 121, 1459, 488, 125, 123, 124, 130, 119, 1341, 1463, 31083, 2423, 1147, 1135, 1200, 1764, 1161, 28623, 24411, 1861, 30558, 14666, 4361, 1449, 1135, 1200, 1764, 2324, 3913, 5078, 186, 14859, 10947, 1219, 5567, 15055, 17123, 1285, 488, 125, 123, 124, 132, 121, 1459, 488, 125, 123, 125, 123, 119, 1341, 9917, 1135, 1808, 1200, 10766, 2137, 488, 125, 123, 125, 123, 29053, 1388, 25290, 10734, 1720, 5635, 25773, 4633, 3955, 488, 125, 123, 124, 126, 134, 1940, 29053, 1226, 1135, 7127, 4912, 5013, 1147, 1135, 12621, 22255, 1449, 4633, 1277, 31369, 28166, 1410, 7127, 7940, 13759, 119, 1171, 1548, 15825, 5643, 3850, 2192, 4912, 5013, 1463, 6470, 8226, 1147, 1110, 3481, 24170, 1321, 1130, 14726, 31807, 4909, 16983, 119, 4633, 3955, 488, 125, 123, 124, 127, 8509, 1267, 15004, 2523, 125, 123, 125, 123, 133, 1808, 1200, 10766, 2137, 488, 125, 123, 125, 123, 7940, 30558, 1226, 14770, 14859, 10947, 1219, 1124, 106, 125, 123, 124, 126, 133, 7127, 4912, 5013, 29053, 1226, 1204, 5635, 2918, 106, 125, 123, 124, 128, 133, 29529, 1353, 1575, 30558, 2804, 1267, 1226, 2544, 1543, 1135, 10435, 1161, 8200, 2615, 1452, 6472, 125, 123, 124, 129, 133, 488, 124, 1243, 1200, 1764, 7879, 30558, 1226, 2067, 10704, 2544, 1543, 1135, 10435, 1161, 8200, 2615, 1452, 172, 1194, 26722, 14520, 6725, 144, 13072, 19738, 7262, 1175, 125, 123, 124, 127, 20484, 2017, 3481, 1175, 125, 123, 124, 127, 12125, 1478, 1869, 1404, 1175, 125, 123, 124, 128, 28308, 2527, 1125, 20024, 1175, 125, 123, 124, 128, 28308, 1203, 7825, 3546, 124, 131, 1175, 125, 123, 124, 128, 22099, 125, 127, 8629, 1175, 125, 123, 125, 123, 25758, 3257, 7777, 1175, 125, 123, 125, 123, 9838, 3931, 1301, 1516, 1175, 125, 123, 125, 123, 1718, 152, 1121, 3770, 1119, 10704, 1267, 16213, 1452, 31090, 4767, 2105, 30206, 15476, 1161, 1135, 488, 125, 124, 1243, 14917, 2305, 32001, 1424, 32000, 20036, 2902, 1712, 176, 4603, 28399, 14232, 1170, 488, 125, 127, 2738, 488, 124, 132, 130, 131, 1188, 18458, 1128, 1317, 13728, 1299, 1318, 15644, 2100, 5964, 14231, 1424, 148, 1712, 176, 4603, 28399, 1299, 1158, 5921, 7482, 173, 13373, 182, 4744, 1518, 1122, 1412, 1353, 180, 30130, 1154, 1118, 2433, 6711, 20840, 1125, 14141, 5277, 1197, 8574, 6380, 5291, 6711, 1125, 1158, 7957, 1197, 14094, 1188, 3171, 2888, 15898, 5328, 1313, 1170, 5987, 17921, 3948, 180, 1209, 1167, 5890, 18642, 1136, 1227, 13728, 1317, 4839, 3100, 1167, 1125, 1200, 24588, 6745, 1575, 3985, 1671, 1183, 1118, 9046, 1173, 6026, 29614, 488, 2093, 148, 1712, 176, 4603, 28399, 1110, 6403, 244, 1317, 23025, 3190, 174, 16679, 1188, 18458, 6093, 6982, 1197, 8787, 1125, 4882, 1167, 1125, 20727, 1188, 1158, 1173, 10584, 20378, 1186, 488, 124, 132, 132, 129, 119, 2399, 1910, 8432, 1188, 20024, 2585, 2399, 7354, 14986, 2009, 2648, 29542, 1388, 282, 19760, 24281, 1137, 1220, 1424, 1548, 2854, 1125, 2397, 2562, 14624, 21993, 1125, 31282, 488, 125, 123, 124, 125, 2040, 9053, 2290, 1170, 1874, 1125, 1209, 1712, 176, 1518, 106, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 1810, 21993, 8163, 12461, 488, 125, 123, 124, 127, 2040, 1186, 488, 125, 123, 124, 128, 119, 8017, 7630, 1207, 488, 128, 2804, 4195, 1125, 1158, 4593, 3555, 9891, 1227, 8276, 1125, 1158, 29529, 1353, 9236, 1653, 488, 125, 123, 124, 129, 119, 1527, 18900, 1170, 3248, 1197, 1200, 1764, 5878, 1285, 10750, 8030, 121, 1653, 488, 125, 123, 124, 130, 119, 1527, 1299, 14399, 6311, 1317, 8276, 1200, 1764, 1125, 14580, 17802, 1215, 3191, 244, 1215, 1207, 1200, 1764, 7879, 1297, 488, 488, 488, 488, 488, 488, 488, 1424, 14441, 1110, 30893, 10947, 1219, 5567, 21993, 8163, 12461, 488, 125, 123, 124, 132, 121, 1653, 488, 125, 123, 125, 123, 119, 1527, 18900, 1170, 3248, 1808, 1200, 10766, 2137, 488, 125, 123, 125, 123, 7885, 18503, 1424, 25171, 1158, 1127, 13285, 2620, 2605, 184, 3955, 488, 125, 123, 124, 126, 2040, 3151, 3248, 1125, 1158, 3643, 6923, 2391, 1227, 10058, 16142, 1215, 1158, 4685, 7993, 1974, 4633, 3955, 1410, 7127, 7940, 13759, 1167, 1170, 15825, 5643, 3850, 4060, 3643, 1110, 6349, 1913, 18078, 1313, 1189, 17299, 24137, 1321, 1130, 14726, 31807, 16533, 2433, 4633, 3955, 488, 125, 123, 124, 127, 8509, 1267, 1109, 7683, 1424, 488, 125, 123, 125, 123, 1257, 8276, 1227, 5509, 1200, 10766, 2137, 488, 125, 123, 125, 123, 1256, 14441, 1110, 30893, 10947, 1219, 1124, 106, 488, 125, 123, 124, 126, 1257, 8276, 1125, 1158, 3643, 6923, 1256, 25171, 1158, 26145, 106, 488, 125, 123, 124, 128, 1257, 4444, 8765, 1227, 3248, 1125, 1158, 29529, 1353, 1575, 1256, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 6472, 488, 125, 123, 124, 129, 1257, 488, 124, 1107, 8276, 1197, 1200, 1764, 7879, 1256, 1594, 7808, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 172, 9323, 1167, 16828, 5825, 1424, 2576, 144, 13072, 19738, 2584, 1175, 125, 123, 124, 127, 1260, 2576, 5014, 5509, 1175, 125, 123, 124, 127, 1260, 1222, 1478, 1869, 1404, 1175, 125, 123, 124, 128, 1260, 1808, 1254, 2527, 1125, 20024, 488, 1175, 125, 123, 124, 128, 1260, 1254, 1203, 7825, 3546, 124, 131, 1175, 125, 123, 124, 128, 1260, 1306, 125, 127, 8629, 1175, 125, 123, 125, 123, 1260, 1643, 3257, 7777, 1175, 125, 123, 125, 123, 1260, 19278, 1301, 1516, 1175, 125, 123, 125, 123, 1718, 157, 1137, 1452, 1774, 24657, 2100, 1750, 1137, 1452, 1774, 19101, 1438, 5526, 31958, 1262, 2720, 1227, 12136, 25525, 6298, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2902, 1712, 176, 4603, 28399, 14232, 1170, 488, 125, 127, 2738, 488, 124, 132, 130, 131, 1188, 18458, 1128, 1317, 13728, 1299, 1318, 15644, 2100, 5964, 14231, 1424, 148, 1712, 176, 4603, 28399, 1299, 1158, 5921, 7482, 173, 13373, 182, 4744, 1518, 1122, 1412, 1353, 180, 30130, 1154, 1118, 2433, 6711, 20840, 1125, 14141, 5277, 1197, 8574, 6380, 5291, 6711, 1125, 1158, 7957, 1197, 14094, 1188, 3171, 2888, 15898, 5328, 1313, 1170, 5987, 17921, 3948, 180, 1209, 1167, 5890, 18642, 1136, 1227, 13728, 1317, 4839, 3100, 1167, 1125, 1200, 24588, 6745, 1575, 3985, 1671, 1183, 1118, 9046, 1173, 6026, 29614, 488, 2093, 148, 1712, 176, 4603, 28399, 1110, 6403, 244, 1317, 23025, 3190, 174, 16679, 1188, 18458, 6093, 6982, 1197, 8787, 1125, 4882, 1167, 1125, 20727, 1188, 1158, 1173, 10584, 20378, 1186, 488, 124, 132, 132, 129, 119, 2399, 1910, 8432, 1188, 20024, 2585, 2399, 7354, 14986, 2009, 2648, 29542, 1388, 282, 19760, 24281, 1137, 1220, 1424, 1548, 2854, 1125, 2397, 2562, 14624, 21993, 1125, 31282, 488, 125, 123, 124, 125, 2040, 9053, 2290, 1170, 1874, 1125, 1209, 1712, 176, 1518, 106, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 1810, 21993, 8163, 12461, 488, 125, 123, 124, 127, 2040, 1186, 488, 125, 123, 124, 128, 119, 8017, 7630, 1207, 488, 128, 2804, 4195, 1125, 1158, 4593, 3555, 9891, 1227, 8276, 1125, 1158, 29529, 1353, 9236, 1653, 488, 125, 123, 124, 129, 119, 1527, 18900, 1170, 3248, 1197, 1200, 1764, 5878, 1285, 10750, 8030, 121, 1653, 488, 125, 123, 124, 130, 119, 1527, 1299, 14399, 6311, 1317, 8276, 1200, 1764, 1125, 14580, 17802, 1215, 3191, 244, 1215, 1207, 1200, 1764, 7879, 1297, 488, 488, 488, 488, 488, 488, 488, 1424, 14441, 1110, 30893, 10947, 1219, 5567, 21993, 8163, 12461, 488, 125, 123, 124, 132, 121, 1653, 488, 125, 123, 125, 123, 119, 1527, 18900, 1170, 3248, 1808, 1200, 10766, 2137, 488, 125, 123, 125, 123, 7885, 18503, 1424, 25171, 1158, 1127, 13285, 2620, 2605, 184, 3955, 488, 125, 123, 124, 126, 2040, 3151, 3248, 1125, 1158, 3643, 6923, 2391, 1227, 10058, 16142, 1215, 1158, 4685, 7993, 1974, 4633, 3955, 1410, 7127, 7940, 13759, 1167, 1170, 15825, 5643, 3850, 4060, 3643, 1110, 6349, 1913, 18078, 1313, 1189, 17299, 24137, 1321, 1130, 14726, 31807, 16533, 2433, 4633, 3955, 488, 125, 123, 124, 127, 8509, 1267, 1109, 7683, 1424, 488, 125, 123, 125, 123, 1257, 8276, 1227, 5509, 1200, 10766, 2137, 488, 125, 123, 125, 123, 1256, 14441, 1110, 30893, 10947, 1219, 1124, 106, 488, 125, 123, 124, 126, 1257, 8276, 1125, 1158, 3643, 6923, 1256, 25171, 1158, 26145, 106, 488, 125, 123, 124, 128, 1257, 4444, 8765, 1227, 3248, 1125, 1158, 29529, 1353, 1575, 1256, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 6472, 488, 125, 123, 124, 129, 1257, 488, 124, 1107, 8276, 1197, 1200, 1764, 7879, 1256, 1594, 7808, 2616, 1667, 1282, 1121, 1125, 8200, 2615, 1452, 172, 9323, 1167, 16828, 5825, 1424, 2576, 144, 13072, 19738, 2584, 1175, 125, 123, 124, 127, 1260, 2576, 5014, 5509, 1175, 125, 123, 124, 127, 1260, 1222, 1478, 1869, 1404, 1175, 125, 123, 124, 128, 1260, 1808, 1254, 2527, 1125, 20024, 488, 1175, 125, 123, 124, 128, 1260, 1254, 1203, 7825, 3546, 124, 131, 1175, 125, 123, 124, 128, 1260, 1306, 125, 127, 8629, 1175, 125, 123, 125, 123, 1260, 1643, 3257, 7777, 1175, 125, 123, 125, 123, 1260, 19278, 1301, 1516, 1175, 125, 123, 125, 123, 1718, 157, 1137, 1452, 1774, 24657, 2100, 1750, 1137, 1452, 1774, 19101, 1438, 5526, 31958, 1262, 2720, 1227, 12136, 25525, 6298, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 22745, 1126, 182, 22944, 5877, 5778, 6700, 21775, 133, 22680, 9525, 361, 22054, 356, 353, 7657, 116, 1239, 1110, 8046, 1147, 5371, 6268, 1259, 1350, 2014, 1573, 119, 8069, 2036, 14835, 5740, 1463, 2271, 8257, 163, 27550, 1701, 1147, 488, 125, 123, 125, 123, 1388, 13543, 11114, 22745, 1126, 182, 22944, 5877, 5778, 1239, 8452, 1238, 1135, 1198, 2461, 25732, 172, 1173, 1180, 7243, 11662, 1147, 1135, 8391, 11662, 2306, 2982, 12136, 7275, 19718, 1161, 5371, 6268, 1259, 1171, 12136, 7275, 10553, 1161, 17347, 1246, 10177, 7055, 22745, 1126, 182, 22944, 5877, 30895, 1959, 5388, 1296, 26497, 182, 22944, 5877, 5005, 1242, 1810, 1463, 20883, 1147, 488, 124, 129, 131, 128, 1296, 1110, 3438, 1383, 28641, 1171, 9463, 2470, 2019, 1940, 3022, 1659, 26497, 182, 22944, 18281, 182, 1322, 182, 2305, 1459, 488, 124, 131, 125, 132, 119, 1381, 23298, 5941, 180, 1142, 1233, 1387, 1532, 193, 15943, 13196, 10340, 1446, 9939, 2307, 2428, 1281, 13152, 1226, 1135, 1940, 6605, 9328, 1413, 10661, 1147, 1135, 6054, 121, 26497, 182, 22944, 5877, 5778, 1463, 1910, 1161, 1135, 1352, 1121, 1438, 15639, 31823, 1230, 1446, 1135, 488, 125, 123, 1276, 1163, 1135, 5756, 488, 125, 124, 1243, 14917, 2305, 1988, 7905, 1151, 15317, 27742, 1147, 488, 124, 132, 126, 132, 1171, 1110, 8046, 1147, 488, 124, 132, 128, 127, 8732, 1273, 3111, 1424, 1598, 4472, 16027, 4356, 1147, 26497, 182, 22944, 5877, 5778, 1125, 25175, 1589, 1147, 1135, 488, 124, 132, 132, 123, 1297, 1459, 488, 125, 123, 123, 124, 119, 2019, 10486, 7124, 1463, 488, 132, 121, 124, 1466, 10810, 8255, 2019, 6775, 7124, 1463, 488, 124, 128, 121, 125, 1466, 10810, 8255, 1171, 1135, 8108, 7295, 12827, 1110, 1683, 9817, 1161, 488, 129, 121, 124, 1466, 22136, 8273, 1462, 3027, 1329, 5740, 28481, 133, 2093, 144, 3300, 196, 1424, 1598, 2274, 3664, 1484, 1147, 1135, 26497, 182, 22944, 5877, 5778, 6054, 1393, 4483, 3683, 1177, 196, 1965, 3688, 15151, 1143, 14095, 1127, 2538, 119, 1138, 3923, 194, 1122, 3683, 1381, 4277, 9939, 6156, 1659, 23362, 1280, 3174, 1947, 180, 1265, 1659, 3863, 7613, 1346, 1171, 1423, 2075, 121, 11684, 1182, 1652, 7245, 1116, 2251, 3476, 2293, 1769, 119, 22766, 1285, 6696, 1346, 1171, 1113, 2610, 2825, 6649, 175, 4734, 1132, 6575, 10697, 1393, 20785, 6103, 1147, 1135, 1711, 22461, 1490, 6722, 10783, 133, 1424, 154, 25369, 1248, 1123, 184, 1175, 337, 324, 337, 1235, 339, 359, 369, 363, 3107, 133, 8573, 1596, 1156, 23362, 5609, 25369, 26497, 182, 22944, 5877, 29674, 25530, 13849, 8082, 1175, 337, 324, 337, 22680, 9525, 361, 22054, 356, 353, 17739, 360, 9647, 382, 27435, 6207, 363, 352, 359, 5021, 369, 3568, 1520, 3683, 1561, 1153, 1741, 6034, 6911, 14520, 1424, 22259, 1905, 26497, 182, 22944, 5877, 5778, 17130, 16027, 24505, 1194, 4650, 3029, 1154, 8152, 20883, 1147, 488, 124, 129, 131, 128, 1853, 1782, 1147, 5371, 6268, 1259, 1350, 2014, 1573, 121, 32001, 1424, 32000, 20036, 1530, 1126, 182, 1206, 250, 5877, 5778, 7216, 2986, 1299, 1318, 3837, 1125, 1282, 1383, 9171, 1125, 5371, 6268, 1259, 119, 1186, 8903, 4654, 6280, 5740, 2368, 244, 2995, 1370, 1188, 2271, 8257, 163, 11411, 1186, 488, 125, 123, 125, 123, 29830, 22745, 1126, 182, 1206, 250, 5877, 5778, 1299, 10019, 1300, 1158, 17451, 1198, 2461, 3004, 250, 172, 1173, 1180, 185, 1810, 1313, 1170, 20295, 1227, 1222, 2114, 1188, 12136, 7275, 1188, 21204, 1125, 5371, 6268, 1259, 1167, 1188, 12136, 7275, 1317, 7758, 1125, 17347, 1118, 20481, 22745, 1126, 182, 1206, 250, 5877, 5778, 1362, 26497, 182, 1206, 250, 5877, 5005, 5363, 172, 1110, 1913, 16512, 1186, 488, 124, 129, 131, 128, 1856, 3438, 1383, 28641, 1167, 28359, 21469, 1594, 3151, 7754, 3693, 26497, 182, 1206, 250, 1198, 2021, 182, 1322, 182, 3266, 1653, 488, 124, 131, 125, 132, 119, 1170, 3293, 1119, 5941, 180, 1142, 1233, 1387, 1532, 193, 8524, 1123, 1256, 1158, 3453, 2768, 1188, 8240, 1125, 4428, 8197, 1197, 26870, 1125, 5505, 1104, 13651, 15941, 2442, 1170, 7882, 1188, 1816, 8263, 1313, 1158, 3734, 121, 26497, 182, 1206, 250, 5877, 5778, 1110, 1844, 3247, 1227, 5987, 1125, 1352, 1121, 1438, 181, 1227, 12136, 1317, 4319, 1227, 12136, 25525, 6298, 121, 3450, 1834, 1740, 172, 1317, 8774, 1125, 4813, 24644, 1186, 488, 124, 132, 126, 132, 1167, 1188, 3977, 1125, 3837, 1186, 488, 124, 132, 128, 127, 8732, 1273, 3111, 12616, 4356, 3175, 11565, 5519, 1126, 182, 1206, 250, 5877, 5778, 8135, 1275, 1389, 10334, 1303, 1317, 3285, 1197, 4092, 488, 124, 132, 132, 123, 121, 1653, 488, 125, 123, 123, 124, 119, 1594, 5777, 1125, 23082, 1902, 3031, 1125, 488, 132, 119, 124, 1256, 1127, 9992, 1594, 5777, 1125, 4541, 1902, 2368, 244, 2995, 1370, 1188, 488, 124, 128, 119, 125, 1256, 16712, 1167, 1170, 28594, 6322, 14844, 1370, 1189, 2968, 9817, 1125, 488, 129, 119, 124, 1256, 16712, 1388, 6090, 1811, 1525, 1362, 5915, 1430, 1125, 1158, 5740, 8623, 224, 15051, 18805, 14590, 18608, 1125, 1158, 3734, 5519, 1126, 182, 1206, 250, 5877, 5778, 1508, 1257, 1851, 2357, 1281, 1205, 3476, 1329, 4780, 1305, 186, 3603, 1127, 2538, 119, 1114, 2677, 1141, 2982, 1113, 5596, 5505, 1104, 13651, 4233, 1435, 1188, 2735, 2944, 1947, 180, 1265, 2944, 28075, 1125, 27069, 1423, 250, 1297, 2605, 28341, 1125, 1138, 1651, 6796, 30145, 7816, 5873, 174, 1285, 14306, 4542, 3035, 13841, 12825, 5221, 6076, 1717, 1508, 5350, 2625, 1104, 1313, 1170, 6485, 1125, 13041, 1150, 11280, 1369, 2232, 1350, 25369, 1248, 1123, 184, 1175, 337, 324, 337, 1235, 339, 359, 369, 363, 3107, 1257, 19091, 1186, 19316, 1155, 1350, 25369, 26497, 182, 1206, 250, 5877, 15344, 6534, 1322, 1387, 3622, 1109, 1128, 1175, 337, 324, 337, 22680, 9525, 361, 22054, 356, 353, 17739, 360, 9647, 382, 27435, 6207, 363, 352, 359, 5021, 369, 116, 1257, 20311, 119, 1561, 1308, 14272, 11488, 1167, 16828, 5825, 2093, 488, 28207, 1300, 26497, 182, 1206, 250, 5877, 5778, 106, 488, 1165, 16679, 3263, 20678, 13776, 1289, 2159, 9533, 16512, 1186, 488, 124, 129, 131, 128, 2073, 1415, 1313, 1282, 1383, 9171, 1125, 5371, 6268, 1259, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 1126, 182, 1206, 250, 5877, 5778, 7216, 2986, 1299, 1318, 3837, 1125, 1282, 1383, 9171, 1125, 5371, 6268, 1259, 119, 1186, 8903, 4654, 6280, 5740, 2368, 244, 2995, 1370, 1188, 2271, 8257, 163, 11411, 1186, 488, 125, 123, 125, 123, 29830, 22745, 1126, 182, 1206, 250, 5877, 5778, 1299, 10019, 1300, 1158, 17451, 1198, 2461, 3004, 250, 172, 1173, 1180, 185, 1810, 1313, 1170, 20295, 1227, 1222, 2114, 1188, 12136, 7275, 1188, 21204, 1125, 5371, 6268, 1259, 1167, 1188, 12136, 7275, 1317, 7758, 1125, 17347, 1118, 20481, 22745, 1126, 182, 1206, 250, 5877, 5778, 1362, 26497, 182, 1206, 250, 5877, 5005, 5363, 172, 1110, 1913, 16512, 1186, 488, 124, 129, 131, 128, 1856, 3438, 1383, 28641, 1167, 28359, 21469, 1594, 3151, 7754, 3693, 26497, 182, 1206, 250, 1198, 2021, 182, 1322, 182, 3266, 1653, 488, 124, 131, 125, 132, 119, 1170, 3293, 1119, 5941, 180, 1142, 1233, 1387, 1532, 193, 8524, 1123, 1256, 1158, 3453, 2768, 1188, 8240, 1125, 4428, 8197, 1197, 26870, 1125, 5505, 1104, 13651, 15941, 2442, 1170, 7882, 1188, 1816, 8263, 1313, 1158, 3734, 121, 26497, 182, 1206, 250, 5877, 5778, 1110, 1844, 3247, 1227, 5987, 1125, 1352, 1121, 1438, 181, 1227, 12136, 1317, 4319, 1227, 12136, 25525, 6298, 121, 3450, 1834, 1740, 172, 1317, 8774, 1125, 4813, 24644, 1186, 488, 124, 132, 126, 132, 1167, 1188, 3977, 1125, 3837, 1186, 488, 124, 132, 128, 127, 8732, 1273, 3111, 12616, 4356, 3175, 11565, 5519, 1126, 182, 1206, 250, 5877, 5778, 8135, 1275, 1389, 10334, 1303, 1317, 3285, 1197, 4092, 488, 124, 132, 132, 123, 121, 1653, 488, 125, 123, 123, 124, 119, 1594, 5777, 1125, 23082, 1902, 3031, 1125, 488, 132, 119, 124, 1256, 1127, 9992, 1594, 5777, 1125, 4541, 1902, 2368, 244, 2995, 1370, 1188, 488, 124, 128, 119, 125, 1256, 16712, 1167, 1170, 28594, 6322, 14844, 1370, 1189, 2968, 9817, 1125, 488, 129, 119, 124, 1256, 16712, 1388, 6090, 1811, 1525, 1362, 5915, 1430, 1125, 1158, 5740, 8623, 224, 15051, 18805, 14590, 18608, 1125, 1158, 3734, 5519, 1126, 182, 1206, 250, 5877, 5778, 1508, 1257, 1851, 2357, 1281, 1205, 3476, 1329, 4780, 1305, 186, 3603, 1127, 2538, 119, 1114, 2677, 1141, 2982, 1113, 5596, 5505, 1104, 13651, 4233, 1435, 1188, 2735, 2944, 1947, 180, 1265, 2944, 28075, 1125, 27069, 1423, 250, 1297, 2605, 28341, 1125, 1138, 1651, 6796, 30145, 7816, 5873, 174, 1285, 14306, 4542, 3035, 13841, 12825, 5221, 6076, 1717, 1508, 5350, 2625, 1104, 1313, 1170, 6485, 1125, 13041, 1150, 11280, 1369, 2232, 1350, 25369, 1248, 1123, 184, 1175, 337, 324, 337, 1235, 339, 359, 369, 363, 3107, 1257, 19091, 1186, 19316, 1155, 1350, 25369, 26497, 182, 1206, 250, 5877, 15344, 6534, 1322, 1387, 3622, 1109, 1128, 1175, 337, 324, 337, 22680, 9525, 361, 22054, 356, 353, 17739, 360, 9647, 382, 27435, 6207, 363, 352, 359, 5021, 369, 116, 1257, 20311, 119, 1561, 1308, 14272, 11488, 1167, 16828, 5825, 2093, 488, 28207, 1300, 26497, 182, 1206, 250, 5877, 5778, 106, 488, 1165, 16679, 3263, 20678, 13776, 1289, 2159, 9533, 16512, 1186, 488, 124, 129, 131, 128, 2073, 1415, 1313, 1282, 1383, 9171, 1125, 5371, 6268, 1259, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 15440, 1125, 1808, 12858, 2139, 1362, 1321, 175, 11452, 5252, 1170, 488, 124, 131, 2584, 488, 124, 131, 132, 129, 1188, 1233, 1568, 11380, 3835, 22970, 14776, 6488, 1404, 116, 1167, 4541, 1170, 488, 125, 127, 2798, 488, 124, 132, 130, 132, 1188, 1266, 8117, 1299, 1189, 30666, 2038, 2720, 14231, 2093, 157, 1234, 9965, 1300, 1158, 16271, 7482, 30661, 3672, 1158, 22925, 12507, 27213, 3699, 1125, 1808, 12858, 2139, 27492, 1318, 5625, 11813, 14417, 1128, 3447, 1317, 11924, 1125, 1158, 26634, 2648, 1527, 14802, 1469, 1561, 4875, 1158, 12664, 145, 4305, 1357, 13536, 1670, 1154, 1197, 30666, 2097, 4796, 1158, 1622, 1197, 4092, 488, 124, 132, 127, 123, 121, 19571, 5646, 8308, 2960, 3042, 4421, 1125, 19633, 5421, 2548, 1167, 1125, 1594, 16722, 6868, 1190, 3212, 1197, 18273, 6046, 1118, 14624, 1125, 6927, 13318, 2198, 1362, 1125, 16855, 1198, 1379, 2466, 18726, 22151, 1125, 30666, 3725, 8446, 1313, 1170, 12311, 1125, 1165, 1195, 4936, 1188, 1266, 8117, 7371, 8103, 1318, 27494, 1125, 3403, 3471, 2610, 1272, 1197, 4370, 14433, 18721, 1118, 1292, 3301, 23729, 1197, 1138, 2645, 1635, 1285, 11401, 2071, 1253, 1724, 1292, 3301, 23729, 24055, 1808, 14578, 9881, 28558, 1188, 31011, 1207, 1138, 2645, 1635, 1285, 2648, 1188, 1253, 1724, 3579, 1207, 4370, 14433, 1508, 6035, 8855, 3523, 2576, 147, 4785, 2295, 1167, 1165, 1214, 1188, 31738, 3849, 8157, 192, 6871, 1808, 30666, 2097, 1508, 9516, 1813, 1188, 1197, 3358, 2635, 1300, 1158, 20707, 5519, 197, 4819, 1313, 1189, 3151, 9058, 1313, 2797, 1158, 2315, 1167, 1188, 5753, 22636, 1659, 1313, 1189, 2423, 16896, 12932, 2768, 1215, 24231, 1207, 13183, 1508, 25643, 1188, 1158, 1131, 1941, 1125, 11276, 1167, 1317, 14123, 1197, 11384, 1227, 8008, 1188, 2801, 11779, 1549, 1153, 1207, 3743, 14152, 23290, 4023, 6880, 22151, 11261, 176, 2445, 1197, 3358, 2635, 7542, 1158, 6586, 2063, 1716, 1366, 1188, 13894, 3046, 2012, 1587, 11779, 488, 124, 132, 128, 131, 1188, 488, 124, 132, 129, 124, 1496, 1188, 3281, 21147, 3840, 6867, 1419, 1167, 1188, 29485, 2733, 1120, 1175, 5571, 1256, 5685, 1170, 1874, 1125, 1816, 3837, 8017, 2290, 5695, 6406, 1496, 1256, 1251, 5898, 1561, 4052, 11082, 9422, 1188, 19104, 12825, 6406, 23189, 7492, 1317, 4236, 1170, 19664, 1126, 1606, 1321, 175, 151, 1524, 2442, 10440, 5632, 119, 1357, 4113, 1317, 18066, 1309, 3699, 1125, 1808, 12858, 2139, 1167, 1594, 5188, 2874, 1142, 1285, 3699, 1173, 14630, 8566, 1945, 2457, 11233, 2312, 1910, 2457, 1186, 23931, 1256, 11055, 1207, 13183, 2750, 3219, 14123, 9994, 462, 6719, 1125, 1271, 22151, 19248, 1317, 4319, 1197, 4092, 488, 124, 132, 131, 123, 119, 2750, 1170, 13640, 1227, 20840, 12825, 6406, 2191, 1473, 1215, 1282, 22151, 3699, 1125, 1808, 12858, 2139, 1508, 7492, 1125, 7945, 9826, 1285, 25568, 3027, 1167, 2205, 16219, 6002, 2502, 17279, 5350, 1189, 2511, 2498, 1313, 1271, 2035, 1478, 119, 1835, 1207, 1127, 1889, 1167, 1207, 13254, 4886, 1357, 3175, 4699, 1318, 3828, 16956, 1125, 19133, 1125, 1158, 30666, 1460, 8273, 1104, 26316, 1508, 4701, 14931, 1313, 1207, 14572, 1571, 17020, 2805, 5958, 1158, 30666, 1460, 1197, 4092, 488, 124, 132, 128, 123, 1167, 488, 124, 132, 129, 123, 11488, 1167, 5474, 1194, 11333, 5888, 176, 1424, 3863, 4054, 1125, 29485, 2733, 1120, 24281, 1234, 9965, 2720, 1505, 26360, 2038, 2720, 9317, 1186, 2798, 488, 124, 132, 130, 132, 9317, 1188, 19104, 8156, 1186, 2584, 488, 124, 131, 132, 129, 8156, 1313, 1207, 1165, 22970, 14776, 6488, 1404, 9317, 1188, 488, 131, 125, 2165, 32001, 1424, 32000, 20036, 22016, 1125, 1808, 12858, 2139, 119, 1959, 5388, 1296, 1321, 175, 11452, 1463, 9204, 1238, 7262, 488, 124, 131, 119, 488, 124, 131, 132, 129, 1147, 1233, 1568, 11380, 3835, 22970, 14776, 6488, 1404, 116, 1171, 12743, 1238, 6384, 488, 125, 127, 119, 488, 124, 132, 130, 132, 1147, 19104, 121, 2133, 1463, 1110, 9197, 4263, 1174, 1146, 1267, 9663, 180, 11114, 11050, 22307, 6644, 1238, 1135, 16271, 5519, 30661, 3545, 5055, 6832, 19368, 3699, 1125, 1808, 12858, 2139, 5970, 1110, 3447, 23058, 3434, 2470, 1135, 6928, 121, 2133, 2491, 20883, 12664, 145, 4305, 1324, 1765, 1144, 19645, 1758, 8492, 24513, 4263, 1174, 3674, 1147, 1135, 8322, 488, 124, 132, 127, 123, 1297, 14320, 26031, 7634, 1156, 1324, 19633, 5421, 24525, 1765, 14032, 6868, 1190, 3212, 1135, 6046, 19627, 23515, 1285, 6927, 13318, 2198, 119, 1171, 16855, 1198, 1379, 2466, 6043, 4263, 1174, 1146, 23515, 119, 8452, 1147, 1135, 1165, 1195, 4936, 18959, 1161, 1266, 8117, 27210, 3575, 5052, 2337, 1226, 6750, 19237, 2536, 1296, 8836, 1149, 6907, 1168, 1346, 15053, 28843, 2478, 1992, 2064, 1171, 17965, 2241, 1410, 12155, 13131, 2629, 1226, 5096, 1135, 4263, 1174, 3674, 2025, 15995, 1446, 2576, 147, 4785, 2295, 1167, 1165, 1214, 1147, 31738, 3849, 8157, 192, 6871, 1410, 4263, 1174, 3674, 2025, 19089, 8420, 1147, 1492, 6774, 1238, 1135, 16271, 5519, 197, 4819, 2491, 6470, 5232, 2315, 1171, 7174, 24598, 2908, 6995, 2025, 12031, 18098, 1110, 1976, 1355, 1135, 11276, 9456, 1171, 1135, 2801, 11384, 1161, 11799, 21411, 4419, 1246, 5388, 1296, 1135, 8080, 7010, 2393, 6774, 4023, 143, 6129, 1135, 11717, 21326, 1135, 23515, 1959, 9733, 1156, 17106, 1147, 13894, 3046, 2012, 1587, 29217, 488, 124, 132, 128, 131, 1163, 488, 124, 132, 129, 124, 1496, 3281, 21147, 3840, 6867, 4377, 1171, 29485, 2733, 1120, 17926, 1239, 5152, 1135, 2220, 1161, 1135, 5100, 14595, 1238, 1957, 12518, 116, 1163, 9648, 1789, 7136, 3062, 1147, 19104, 6043, 12518, 16445, 2055, 1135, 3413, 2314, 15861, 175, 151, 109, 1171, 1110, 2149, 1238, 1135, 28420, 11921, 1163, 1135, 11517, 2629, 1449, 3699, 1125, 1808, 12858, 2139, 1171, 1765, 1594, 4793, 2992, 2554, 119, 3699, 1173, 14630, 8566, 2043, 2704, 174, 6029, 13183, 2470, 2483, 21411, 6043, 23515, 1361, 10661, 1440, 3245, 1147, 1135, 5756, 488, 124, 132, 131, 123, 190, 2470, 1135, 25100, 1361, 6775, 8732, 180, 10134, 13942, 1449, 1135, 3699, 1125, 1808, 12858, 2139, 23515, 2025, 5298, 28728, 6876, 8616, 1171, 10396, 5197, 5108, 14320, 1186, 20693, 13035, 1324, 1110, 16117, 2910, 2406, 1148, 1171, 2478, 3377, 196, 11632, 1346, 27052, 1110, 9702, 196, 1161, 1135, 5814, 1161, 4263, 1174, 3674, 1388, 27166, 2050, 1430, 1393, 21318, 7869, 1147, 3629, 1420, 21758, 4263, 1174, 3674, 1446, 1135, 488, 124, 132, 128, 123, 190, 1171, 488, 124, 132, 129, 123, 1297, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 22016, 1125, 1808, 12858, 2139, 119, 1959, 5388, 1296, 1321, 175, 11452, 1463, 9204, 1238, 7262, 488, 124, 131, 119, 488, 124, 131, 132, 129, 1147, 1233, 1568, 11380, 3835, 22970, 14776, 6488, 1404, 116, 1171, 12743, 1238, 6384, 488, 125, 127, 119, 488, 124, 132, 130, 132, 1147, 19104, 121, 2133, 1463, 1110, 9197, 4263, 1174, 1146, 1267, 9663, 180, 11114, 11050, 22307, 6644, 1238, 1135, 16271, 5519, 30661, 3545, 5055, 6832, 19368, 3699, 1125, 1808, 12858, 2139, 5970, 1110, 3447, 23058, 3434, 2470, 1135, 6928, 121, 2133, 2491, 20883, 12664, 145, 4305, 1324, 1765, 1144, 19645, 1758, 8492, 24513, 4263, 1174, 3674, 1147, 1135, 8322, 488, 124, 132, 127, 123, 1297, 14320, 26031, 7634, 1156, 1324, 19633, 5421, 24525, 1765, 14032, 6868, 1190, 3212, 1135, 6046, 19627, 23515, 1285, 6927, 13318, 2198, 119, 1171, 16855, 1198, 1379, 2466, 6043, 4263, 1174, 1146, 23515, 119, 8452, 1147, 1135, 1165, 1195, 4936, 18959, 1161, 1266, 8117, 27210, 3575, 5052, 2337, 1226, 6750, 19237, 2536, 1296, 8836, 1149, 6907, 1168, 1346, 15053, 28843, 2478, 1992, 2064, 1171, 17965, 2241, 1410, 12155, 13131, 2629, 1226, 5096, 1135, 4263, 1174, 3674, 2025, 15995, 1446, 2576, 147, 4785, 2295, 1167, 1165, 1214, 1147, 31738, 3849, 8157, 192, 6871, 1410, 4263, 1174, 3674, 2025, 19089, 8420, 1147, 1492, 6774, 1238, 1135, 16271, 5519, 197, 4819, 2491, 6470, 5232, 2315, 1171, 7174, 24598, 2908, 6995, 2025, 12031, 18098, 1110, 1976, 1355, 1135, 11276, 9456, 1171, 1135, 2801, 11384, 1161, 11799, 21411, 4419, 1246, 5388, 1296, 1135, 8080, 7010, 2393, 6774, 4023, 143, 6129, 1135, 11717, 21326, 1135, 23515, 1959, 9733, 1156, 17106, 1147, 13894, 3046, 2012, 1587, 29217, 488, 124, 132, 128, 131, 1163, 488, 124, 132, 129, 124, 1496, 3281, 21147, 3840, 6867, 4377, 1171, 29485, 2733, 1120, 17926, 1239, 5152, 1135, 2220, 1161, 1135, 5100, 14595, 1238, 1957, 12518, 116, 1163, 9648, 1789, 7136, 3062, 1147, 19104, 6043, 12518, 16445, 2055, 1135, 3413, 2314, 15861, 175, 151, 109, 1171, 1110, 2149, 1238, 1135, 28420, 11921, 1163, 1135, 11517, 2629, 1449, 3699, 1125, 1808, 12858, 2139, 1171, 1765, 1594, 4793, 2992, 2554, 119, 3699, 1173, 14630, 8566, 2043, 2704, 174, 6029, 13183, 2470, 2483, 21411, 6043, 23515, 1361, 10661, 1440, 3245, 1147, 1135, 5756, 488, 124, 132, 131, 123, 190, 2470, 1135, 25100, 1361, 6775, 8732, 180, 10134, 13942, 1449, 1135, 3699, 1125, 1808, 12858, 2139, 23515, 2025, 5298, 28728, 6876, 8616, 1171, 10396, 5197, 5108, 14320, 1186, 20693, 13035, 1324, 1110, 16117, 2910, 2406, 1148, 1171, 2478, 3377, 196, 11632, 1346, 27052, 1110, 9702, 196, 1161, 1135, 5814, 1161, 4263, 1174, 3674, 1388, 27166, 2050, 1430, 1393, 21318, 7869, 1147, 3629, 1420, 21758, 4263, 1174, 3674, 1446, 1135, 488, 124, 132, 128, 123, 190, 1171, 488, 124, 132, 129, 123, 1297, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 1352, 3595, 7269, 9675, 1161, 16704, 4788, 196, 1171, 15057, 11469, 6700, 161, 31440, 18748, 1239, 1110, 30963, 15620, 1171, 11846, 4788, 1926, 12574, 1147, 9197, 4669, 8271, 1147, 3473, 28752, 5528, 24324, 1163, 21263, 1498, 1554, 2840, 119, 5117, 1285, 1171, 1135, 5429, 121, 1252, 4503, 1156, 1238, 1135, 17578, 1161, 1352, 28050, 1341, 1239, 1959, 3275, 1163, 14313, 14582, 21698, 1239, 8226, 1894, 4660, 1449, 1135, 1352, 3595, 1517, 16704, 4788, 196, 1165, 16504, 7393, 21977, 1147, 488, 124, 132, 131, 130, 1576, 9068, 20785, 15940, 1226, 5641, 1161, 1135, 1165, 16504, 119, 2019, 5840, 1393, 1959, 3275, 1163, 14313, 17237, 1500, 10177, 7055, 1161, 1135, 8119, 3616, 1248, 161, 31440, 145, 1463, 9204, 3545, 1135, 488, 125, 128, 1276, 27528, 1976, 1161, 1135, 1165, 16504, 1147, 488, 125, 123, 124, 125, 119, 1238, 1135, 14990, 1161, 1110, 6644, 12528, 1355, 1135, 6970, 30327, 1238, 6674, 488, 125, 132, 1147, 1254, 1210, 1390, 1462, 1226, 1135, 1225, 1287, 1399, 1965, 2491, 16571, 1171, 1501, 19109, 1147, 1204, 24079, 1238, 7357, 488, 125, 123, 7745, 2588, 488, 125, 123, 124, 125, 119, 1135, 1248, 161, 31440, 145, 1602, 20369, 1156, 1135, 1352, 3595, 1517, 16704, 4788, 1926, 10516, 2178, 2982, 1758, 1463, 8226, 1446, 488, 124, 132, 131, 131, 1163, 488, 125, 123, 124, 124, 2670, 1135, 3945, 1647, 4595, 1161, 6927, 1202, 1993, 1130, 1175, 124, 132, 131, 130, 120, 124, 132, 132, 130, 1496, 6780, 16720, 1923, 1252, 9700, 1175, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1496, 31250, 1918, 1231, 1175, 124, 132, 132, 131, 120, 125, 123, 124, 124, 1496, 1171, 13833, 1548, 1748, 1148, 1175, 125, 123, 123, 132, 120, 125, 123, 124, 124, 4023, 4968, 1354, 3796, 3452, 4517, 3616, 1248, 161, 31440, 145, 5391, 1104, 1302, 1135, 4772, 1239, 1135, 23856, 1161, 3056, 23833, 1171, 11846, 4788, 196, 1239, 2019, 16219, 1149, 13527, 121, 18910, 2019, 10662, 1285, 1135, 1248, 161, 31440, 145, 10956, 2026, 1135, 22503, 6497, 4185, 1161, 11846, 4788, 196, 1296, 1110, 12864, 5869, 1171, 5558, 3043, 5869, 1302, 2293, 8502, 4942, 1238, 1110, 10824, 1161, 31040, 1147, 1135, 4792, 10585, 3187, 1110, 7544, 1226, 13735, 1171, 9266, 1238, 4533, 1147, 1135, 5517, 1161, 21263, 1498, 1554, 2840, 119, 5117, 1285, 1171, 1135, 5429, 19847, 1147, 1135, 1352, 3595, 1978, 4986, 1341, 1239, 1959, 1858, 2765, 1226, 18666, 11668, 1346, 1163, 12438, 1149, 1329, 1792, 2328, 1199, 4039, 3194, 1147, 2019, 14849, 1136, 3276, 7832, 109, 4960, 6043, 1248, 161, 31440, 145, 23397, 1163, 1280, 15879, 1147, 2019, 6333, 2884, 13073, 9045, 1163, 2081, 2059, 4762, 20519, 1171, 9089, 190, 1163, 5002, 1296, 9875, 1151, 12283, 1296, 11654, 17751, 1393, 8226, 2670, 1135, 8386, 17208, 1161, 1789, 18161, 8509, 10995, 1763, 10995, 1147, 1173, 28648, 2621, 1171, 1147, 9197, 2059, 1326, 5635, 4159, 1239, 5534, 6688, 1449, 1135, 31369, 5360, 2068, 1479, 1142, 1147, 4273, 2547, 19007, 1140, 11488, 1171, 22874, 1194, 26722, 4672, 11934, 194, 1470, 5460, 3050, 7055, 5460, 1566, 1942, 14874, 1163, 11846, 4788, 196, 1566, 1942, 5783, 5772, 1147, 488, 125, 123, 124, 125, 121, 32001, 1424, 32000, 20036, 2895, 24630, 1152, 3595, 7269, 1125, 2175, 244, 4788, 1214, 1167, 6116, 3833, 1197, 13086, 6700, 161, 31440, 18748, 1299, 1318, 14621, 10777, 1167, 2175, 244, 4788, 1460, 19130, 1125, 7577, 5964, 19174, 1313, 1207, 3304, 2942, 19591, 1176, 1120, 7857, 21613, 1125, 1158, 19308, 1158, 5424, 2357, 1207, 7599, 1167, 17378, 3132, 7258, 1165, 7807, 1300, 1170, 17578, 1125, 1352, 28050, 2399, 1299, 2445, 15425, 1188, 1197, 14582, 20138, 1842, 30079, 1299, 20896, 1303, 3219, 5910, 1215, 1170, 1165, 2244, 1126, 1152, 3595, 1517, 1125, 2175, 244, 4788, 1214, 7393, 1414, 244, 1186, 488, 124, 132, 131, 130, 1576, 1202, 10334, 4192, 1160, 20402, 1571, 4634, 1227, 1165, 2244, 3476, 1909, 5840, 1508, 2072, 29585, 1571, 6340, 3051, 5825, 10177, 15376, 1125, 1158, 8119, 2895, 1248, 161, 31440, 145, 1299, 14232, 7542, 10453, 1227, 488, 488, 125, 128, 176, 19371, 1227, 1165, 2244, 1126, 1186, 488, 125, 123, 124, 125, 119, 1300, 4903, 13616, 2134, 6711, 26667, 1188, 1271, 20658, 7400, 1170, 488, 488, 125, 132, 3012, 1188, 1254, 1210, 1390, 1462, 1186, 5588, 1227, 1225, 1287, 1142, 2357, 2648, 5980, 1303, 1167, 1501, 1533, 7329, 1188, 1204, 24079, 1170, 488, 488, 125, 123, 2822, 8509, 1467, 488, 125, 123, 124, 125, 119, 1158, 1248, 161, 31440, 145, 1110, 2774, 6728, 12374, 1317, 21433, 2175, 244, 4788, 1460, 1152, 3595, 1517, 1357, 1110, 23332, 1125, 488, 124, 132, 131, 131, 1188, 488, 125, 123, 124, 124, 2290, 1158, 4595, 3945, 1647, 1125, 6927, 1202, 1993, 1130, 1175, 124, 132, 131, 130, 120, 124, 132, 132, 130, 1496, 6780, 16720, 1923, 1252, 9700, 1175, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1496, 31250, 1918, 1231, 1175, 124, 132, 132, 131, 120, 125, 123, 124, 124, 1496, 1167, 13833, 1548, 1748, 1148, 1175, 125, 123, 123, 132, 120, 125, 123, 124, 124, 4023, 13645, 1278, 11246, 2895, 1248, 161, 31440, 145, 21489, 1309, 1158, 4446, 1299, 1317, 25562, 1125, 1158, 4052, 17419, 1167, 1158, 2175, 244, 4788, 1214, 1594, 4154, 16219, 4974, 3767, 4759, 1125, 1909, 10662, 1285, 1158, 1248, 161, 31440, 145, 29780, 1373, 1158, 5148, 22503, 4371, 1125, 1158, 2175, 244, 4788, 1214, 1856, 1189, 5372, 4403, 1167, 1189, 6080, 1283, 9725, 7037, 6320, 1395, 1491, 1107, 1318, 3473, 6209, 1348, 1125, 31040, 1197, 11733, 12269, 1457, 2358, 1230, 5434, 6320, 4601, 1167, 1125, 9266, 1300, 1158, 3370, 1186, 7635, 1125, 1158, 19308, 1125, 1158, 5424, 2357, 1197, 7599, 1167, 1125, 17378, 3132, 192, 1300, 1170, 7019, 1152, 3595, 1517, 11129, 119, 2399, 1299, 2072, 6933, 3212, 1188, 3694, 4856, 19779, 1188, 1197, 25809, 8918, 1554, 1362, 1408, 21560, 1442, 1234, 1313, 1561, 17438, 1606, 10851, 18707, 1524, 10803, 1248, 161, 31440, 145, 1281, 7353, 11246, 1313, 1594, 2176, 1667, 1186, 24219, 9045, 1571, 2081, 26423, 20183, 13989, 1167, 6072, 1188, 14913, 30140, 1317, 1408, 2511, 2510, 1125, 18870, 1297, 1808, 3760, 1508, 21722, 2290, 1158, 5860, 8306, 1125, 2770, 13588, 8509, 1633, 4476, 2895, 11473, 1186, 13111, 1167, 1186, 4159, 19101, 1438, 1299, 7115, 1303, 1215, 1158, 4685, 6320, 1974, 2068, 1479, 1142, 1188, 4273, 2547, 19007, 1140, 11488, 1167, 5474, 5532, 1354, 16718, 1194, 1891, 16204, 19130, 5061, 16204, 6111, 3833, 1566, 3047, 30364, 1188, 1158, 2175, 244, 4788, 1214, 27944, 1125, 8146, 9601, 1186, 488, 125, 123, 124, 125, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 24630, 1152, 3595, 7269, 1125, 2175, 244, 4788, 1214, 1167, 6116, 3833, 1197, 13086, 6700, 161, 31440, 18748, 1299, 1318, 14621, 10777, 1167, 2175, 244, 4788, 1460, 19130, 1125, 7577, 5964, 19174, 1313, 1207, 3304, 2942, 19591, 1176, 1120, 7857, 21613, 1125, 1158, 19308, 1158, 5424, 2357, 1207, 7599, 1167, 17378, 3132, 7258, 1165, 7807, 1300, 1170, 17578, 1125, 1352, 28050, 2399, 1299, 2445, 15425, 1188, 1197, 14582, 20138, 1842, 30079, 1299, 20896, 1303, 3219, 5910, 1215, 1170, 1165, 2244, 1126, 1152, 3595, 1517, 1125, 2175, 244, 4788, 1214, 7393, 1414, 244, 1186, 488, 124, 132, 131, 130, 1576, 1202, 10334, 4192, 1160, 20402, 1571, 4634, 1227, 1165, 2244, 3476, 1909, 5840, 1508, 2072, 29585, 1571, 6340, 3051, 5825, 10177, 15376, 1125, 1158, 8119, 2895, 1248, 161, 31440, 145, 1299, 14232, 7542, 10453, 1227, 488, 488, 125, 128, 176, 19371, 1227, 1165, 2244, 1126, 1186, 488, 125, 123, 124, 125, 119, 1300, 4903, 13616, 2134, 6711, 26667, 1188, 1271, 20658, 7400, 1170, 488, 488, 125, 132, 3012, 1188, 1254, 1210, 1390, 1462, 1186, 5588, 1227, 1225, 1287, 1142, 2357, 2648, 5980, 1303, 1167, 1501, 1533, 7329, 1188, 1204, 24079, 1170, 488, 488, 125, 123, 2822, 8509, 1467, 488, 125, 123, 124, 125, 119, 1158, 1248, 161, 31440, 145, 1110, 2774, 6728, 12374, 1317, 21433, 2175, 244, 4788, 1460, 1152, 3595, 1517, 1357, 1110, 23332, 1125, 488, 124, 132, 131, 131, 1188, 488, 125, 123, 124, 124, 2290, 1158, 4595, 3945, 1647, 1125, 6927, 1202, 1993, 1130, 1175, 124, 132, 131, 130, 120, 124, 132, 132, 130, 1496, 6780, 16720, 1923, 1252, 9700, 1175, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1496, 31250, 1918, 1231, 1175, 124, 132, 132, 131, 120, 125, 123, 124, 124, 1496, 1167, 13833, 1548, 1748, 1148, 1175, 125, 123, 123, 132, 120, 125, 123, 124, 124, 4023, 13645, 1278, 11246, 2895, 1248, 161, 31440, 145, 21489, 1309, 1158, 4446, 1299, 1317, 25562, 1125, 1158, 4052, 17419, 1167, 1158, 2175, 244, 4788, 1214, 1594, 4154, 16219, 4974, 3767, 4759, 1125, 1909, 10662, 1285, 1158, 1248, 161, 31440, 145, 29780, 1373, 1158, 5148, 22503, 4371, 1125, 1158, 2175, 244, 4788, 1214, 1856, 1189, 5372, 4403, 1167, 1189, 6080, 1283, 9725, 7037, 6320, 1395, 1491, 1107, 1318, 3473, 6209, 1348, 1125, 31040, 1197, 11733, 12269, 1457, 2358, 1230, 5434, 6320, 4601, 1167, 1125, 9266, 1300, 1158, 3370, 1186, 7635, 1125, 1158, 19308, 1125, 1158, 5424, 2357, 1197, 7599, 1167, 1125, 17378, 3132, 192, 1300, 1170, 7019, 1152, 3595, 1517, 11129, 119, 2399, 1299, 2072, 6933, 3212, 1188, 3694, 4856, 19779, 1188, 1197, 25809, 8918, 1554, 1362, 1408, 21560, 1442, 1234, 1313, 1561, 17438, 1606, 10851, 18707, 1524, 10803, 1248, 161, 31440, 145, 1281, 7353, 11246, 1313, 1594, 2176, 1667, 1186, 24219, 9045, 1571, 2081, 26423, 20183, 13989, 1167, 6072, 1188, 14913, 30140, 1317, 1408, 2511, 2510, 1125, 18870, 1297, 1808, 3760, 1508, 21722, 2290, 1158, 5860, 8306, 1125, 2770, 13588, 8509, 1633, 4476, 2895, 11473, 1186, 13111, 1167, 1186, 4159, 19101, 1438, 1299, 7115, 1303, 1215, 1158, 4685, 6320, 1974, 2068, 1479, 1142, 1188, 4273, 2547, 19007, 1140, 11488, 1167, 5474, 5532, 1354, 16718, 1194, 1891, 16204, 19130, 5061, 16204, 6111, 3833, 1566, 3047, 30364, 1188, 1158, 2175, 244, 4788, 1214, 27944, 1125, 8146, 9601, 1186, 488, 125, 123, 124, 125, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 7914, 1328, 24664, 1105, 1175, 124, 123, 176, 1557, 5257, 1125, 1306, 6773, 1269, 116, 1299, 1189, 5598, 3657, 2539, 8464, 2609, 3377, 21194, 1768, 12425, 2290, 7451, 1254, 22783, 4861, 1217, 17819, 1186, 4083, 1309, 25468, 1125, 4428, 1105, 19293, 25934, 1161, 1293, 1129, 5186, 1108, 25402, 2233, 1903, 1835, 2749, 1167, 2798, 488, 124, 131, 131, 124, 121, 1768, 1299, 1557, 5257, 1125, 1306, 6773, 1269, 1388, 5522, 9861, 1167, 27180, 3050, 6773, 1269, 1299, 1170, 8658, 1125, 8179, 24664, 1105, 1175, 124, 123, 176, 1557, 5257, 1125, 1306, 6773, 1269, 1496, 1167, 1125, 1561, 9640, 16722, 16871, 1645, 1845, 1109, 16156, 5921, 1227, 5131, 1356, 1274, 10948, 7451, 3795, 178, 3794, 1167, 7354, 1557, 5257, 1186, 488, 124, 131, 129, 126, 1188, 19910, 1125, 1281, 2075, 8793, 1768, 1844, 1909, 8787, 1317, 31985, 6348, 2333, 1167, 2168, 21026, 25167, 4780, 26734, 25886, 4096, 3657, 3147, 488, 124, 131, 130, 123, 119, 1306, 6773, 1269, 1299, 12688, 12492, 4793, 4817, 1370, 1149, 22414, 2840, 1227, 5987, 1188, 1158, 15890, 1197, 1115, 1404, 4495, 1313, 1158, 3453, 10932, 2539, 11038, 1125, 7451, 1254, 22783, 4861, 1217, 1243, 7664, 8536, 3365, 27254, 22571, 488, 124, 131, 130, 126, 1167, 12425, 1125, 2749, 1188, 2798, 488, 124, 131, 131, 124, 1186, 4083, 1309, 25468, 1125, 4428, 1105, 19293, 25934, 1161, 1293, 1129, 5186, 22692, 1128, 26258, 1903, 22414, 2840, 1186, 6513, 1227, 5987, 1188, 1158, 15890, 1197, 12492, 4495, 1313, 1158, 6311, 10932, 1125, 4861, 1217, 17819, 121, 1653, 488, 124, 131, 131, 124, 119, 1527, 1299, 19160, 1317, 4921, 11427, 1388, 2437, 1112, 1561, 9245, 20430, 12492, 1306, 6773, 1269, 1299, 12492, 1248, 3339, 1125, 21455, 5519, 1620, 1208, 1108, 1835, 488, 124, 131, 132, 123, 1167, 488, 124, 131, 132, 129, 121, 1768, 1110, 2445, 9053, 1192, 1203, 175, 3506, 1134, 2472, 2339, 1171, 7829, 1182, 3807, 1167, 8325, 1348, 22628, 1161, 3991, 1487, 1245, 14023, 22137, 1489, 1404, 1306, 6773, 1269, 16722, 4148, 1762, 5921, 1125, 18988, 7451, 1165, 1145, 183, 1633, 176, 17676, 1285, 3688, 1396, 3174, 1186, 488, 124, 131, 129, 132, 121, 6982, 1561, 4541, 1186, 488, 124, 132, 125, 123, 119, 1527, 16722, 1186, 21545, 20561, 1104, 26518, 3122, 1219, 1488, 1810, 5921, 1125, 4172, 13147, 18525, 1105, 1167, 2623, 5269, 1125, 8590, 5260, 23810, 6266, 1186, 488, 124, 132, 125, 125, 121, 1808, 2069, 6371, 1741, 1508, 2130, 3165, 4974, 1306, 6773, 1269, 19859, 1186, 3141, 488, 124, 132, 126, 130, 119, 1188, 19910, 1125, 488, 131, 132, 5305, 1167, 1594, 15013, 24424, 1196, 4353, 10341, 27077, 24664, 2114, 2435, 6728, 6106, 121, 1643, 21837, 1439, 1125, 1306, 6773, 1269, 1299, 29372, 1186, 2738, 488, 124, 132, 126, 132, 121, 2093, 10853, 7364, 5825, 1194, 8857, 1829, 1227, 4921, 11427, 1227, 21144, 13935, 1836, 1125, 15714, 5519, 1620, 1208, 1108, 5526, 183, 4567, 1227, 19299, 6348, 2333, 7069, 24498, 23121, 22053, 5519, 1620, 1208, 1108, 5526, 24116, 1125, 2168, 21026, 9168, 3835, 2724, 7621, 12125, 1416, 1467, 1186, 3141, 488, 124, 132, 126, 130, 8156, 1186, 2829, 488, 124, 131, 127, 130, 9317, 1188, 488, 131, 132, 2165, 9769, 5257, 1125, 1306, 6773, 7281, 32001, 1424, 32000, 20036, 4196, 1124, 1328, 24664, 1105, 1175, 124, 123, 1276, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 116, 1239, 1110, 30628, 4839, 5254, 12809, 2323, 121, 2133, 11462, 2670, 7451, 1254, 22783, 4861, 1217, 17819, 1296, 2195, 3697, 1161, 1135, 16131, 19293, 25934, 1161, 1293, 1129, 5186, 22692, 1128, 26258, 1903, 2910, 6324, 1171, 6384, 488, 124, 131, 131, 124, 121, 2133, 1239, 1135, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 1388, 164, 3297, 1171, 11942, 3050, 6773, 1269, 1239, 1135, 1594, 1161, 8179, 24664, 1105, 1175, 124, 123, 1276, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 116, 1171, 1765, 2423, 14032, 16871, 1645, 1845, 1109, 16156, 15538, 1161, 1135, 1863, 1263, 1274, 10948, 7451, 3795, 178, 3794, 1171, 7905, 1918, 1134, 1224, 1147, 488, 124, 131, 129, 126, 1355, 1135, 7227, 1161, 4593, 1148, 4414, 2133, 1463, 5468, 1589, 1355, 1254, 2333, 9168, 1171, 2168, 21026, 25167, 4780, 26734, 8732, 7847, 3043, 11588, 1107, 3229, 488, 124, 131, 130, 123, 119, 1306, 6773, 1269, 1463, 22951, 12492, 4793, 12013, 1370, 1149, 14011, 7350, 1160, 1311, 1461, 1147, 1135, 6842, 1161, 12492, 4495, 1147, 7451, 1254, 22783, 4861, 1217, 17819, 1361, 1940, 4839, 5254, 10932, 119, 1110, 3620, 1386, 7368, 4945, 488, 124, 131, 130, 126, 121, 2133, 1959, 11462, 1296, 2195, 3697, 1161, 1135, 16131, 19293, 25934, 1161, 1293, 1129, 5186, 22692, 1128, 26258, 1903, 14011, 7350, 1160, 16865, 1311, 1461, 1147, 1135, 6842, 1161, 12492, 4495, 1147, 4861, 1217, 17819, 1361, 2423, 10932, 1446, 6324, 1163, 6384, 488, 124, 131, 131, 124, 121, 1459, 488, 124, 131, 131, 124, 119, 1386, 1463, 26970, 1163, 1135, 29810, 196, 9404, 6649, 4125, 1163, 1765, 7468, 3660, 1659, 12492, 1306, 6773, 1269, 11462, 1296, 12492, 1248, 3339, 1161, 1135, 4017, 1161, 1192, 1620, 1208, 1108, 1446, 488, 124, 131, 132, 123, 1163, 488, 124, 131, 132, 129, 121, 2133, 1959, 8226, 8162, 1203, 175, 3506, 1134, 2472, 2339, 1171, 7829, 1182, 3807, 109, 1171, 29018, 1235, 6090, 8799, 1161, 3991, 1487, 1245, 10686, 145, 14017, 1489, 1404, 1306, 6773, 1269, 17080, 4148, 1762, 15538, 1161, 18988, 7451, 1165, 1145, 183, 1633, 176, 17676, 1285, 488, 1147, 488, 124, 131, 129, 132, 121, 6226, 2067, 6775, 1147, 488, 124, 132, 125, 123, 119, 1386, 17080, 26518, 3122, 1219, 1488, 1810, 15538, 1161, 4172, 13147, 18525, 1105, 1171, 14676, 1246, 1161, 8590, 5260, 23810, 1132, 5242, 1147, 488, 124, 132, 125, 125, 121, 16312, 15126, 1741, 2025, 3230, 3540, 121, 1306, 6773, 1269, 8576, 5064, 1147, 7871, 488, 124, 132, 126, 130, 1355, 1135, 7227, 1161, 488, 131, 132, 119, 1171, 1765, 3386, 24424, 187, 15296, 119, 10341, 27077, 24664, 2114, 20369, 1156, 12855, 1410, 5696, 1231, 1224, 1161, 1306, 6773, 1269, 8576, 5064, 1147, 4151, 488, 124, 132, 126, 132, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 4196, 1124, 1328, 24664, 1105, 1175, 124, 123, 1276, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 116, 1239, 1110, 30628, 4839, 5254, 12809, 2323, 121, 2133, 11462, 2670, 7451, 1254, 22783, 4861, 1217, 17819, 1296, 2195, 3697, 1161, 1135, 16131, 19293, 25934, 1161, 1293, 1129, 5186, 22692, 1128, 26258, 1903, 2910, 6324, 1171, 6384, 488, 124, 131, 131, 124, 121, 2133, 1239, 1135, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 1388, 164, 3297, 1171, 11942, 3050, 6773, 1269, 1239, 1135, 1594, 1161, 8179, 24664, 1105, 1175, 124, 123, 1276, 1918, 1134, 1224, 1161, 1306, 6773, 1269, 116, 1171, 1765, 2423, 14032, 16871, 1645, 1845, 1109, 16156, 15538, 1161, 1135, 1863, 1263, 1274, 10948, 7451, 3795, 178, 3794, 1171, 7905, 1918, 1134, 1224, 1147, 488, 124, 131, 129, 126, 1355, 1135, 7227, 1161, 4593, 1148, 4414, 2133, 1463, 5468, 1589, 1355, 1254, 2333, 9168, 1171, 2168, 21026, 25167, 4780, 26734, 8732, 7847, 3043, 11588, 1107, 3229, 488, 124, 131, 130, 123, 119, 1306, 6773, 1269, 1463, 22951, 12492, 4793, 12013, 1370, 1149, 14011, 7350, 1160, 1311, 1461, 1147, 1135, 6842, 1161, 12492, 4495, 1147, 7451, 1254, 22783, 4861, 1217, 17819, 1361, 1940, 4839, 5254, 10932, 119, 1110, 3620, 1386, 7368, 4945, 488, 124, 131, 130, 126, 121, 2133, 1959, 11462, 1296, 2195, 3697, 1161, 1135, 16131, 19293, 25934, 1161, 1293, 1129, 5186, 22692, 1128, 26258, 1903, 14011, 7350, 1160, 16865, 1311, 1461, 1147, 1135, 6842, 1161, 12492, 4495, 1147, 4861, 1217, 17819, 1361, 2423, 10932, 1446, 6324, 1163, 6384, 488, 124, 131, 131, 124, 121, 1459, 488, 124, 131, 131, 124, 119, 1386, 1463, 26970, 1163, 1135, 29810, 196, 9404, 6649, 4125, 1163, 1765, 7468, 3660, 1659, 12492, 1306, 6773, 1269, 11462, 1296, 12492, 1248, 3339, 1161, 1135, 4017, 1161, 1192, 1620, 1208, 1108, 1446, 488, 124, 131, 132, 123, 1163, 488, 124, 131, 132, 129, 121, 2133, 1959, 8226, 8162, 1203, 175, 3506, 1134, 2472, 2339, 1171, 7829, 1182, 3807, 109, 1171, 29018, 1235, 6090, 8799, 1161, 3991, 1487, 1245, 10686, 145, 14017, 1489, 1404, 1306, 6773, 1269, 17080, 4148, 1762, 15538, 1161, 18988, 7451, 1165, 1145, 183, 1633, 176, 17676, 1285, 488, 1147, 488, 124, 131, 129, 132, 121, 6226, 2067, 6775, 1147, 488, 124, 132, 125, 123, 119, 1386, 17080, 26518, 3122, 1219, 1488, 1810, 15538, 1161, 4172, 13147, 18525, 1105, 1171, 14676, 1246, 1161, 8590, 5260, 23810, 1132, 5242, 1147, 488, 124, 132, 125, 125, 121, 16312, 15126, 1741, 2025, 3230, 3540, 121, 1306, 6773, 1269, 8576, 5064, 1147, 7871, 488, 124, 132, 126, 130, 1355, 1135, 7227, 1161, 488, 131, 132, 119, 1171, 1765, 3386, 24424, 187, 15296, 119, 10341, 27077, 24664, 2114, 20369, 1156, 12855, 1410, 5696, 1231, 1224, 1161, 1306, 6773, 1269, 8576, 5064, 1147, 4151, 488, 124, 132, 126, 132, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18805, 6335, 6482, 3987, 1105, 4195, 17440, 174, 7972, 1508, 1189, 7433, 1125, 6335, 6482, 1125, 1158, 4446, 1197, 1350, 174, 2124, 1259, 7726, 2596, 1768, 18402, 1318, 2630, 2100, 1304, 4870, 243, 1887, 1125, 2669, 1502, 1183, 1234, 1805, 1301, 25186, 1653, 15173, 17170, 1897, 3987, 1105, 2038, 1299, 1408, 9612, 1160, 1170, 1874, 1125, 23902, 13006, 1405, 8486, 1113, 1839, 1142, 2111, 12825, 11325, 1328, 1227, 7433, 1405, 8486, 2004, 1158, 4803, 1348, 8594, 1318, 1113, 2588, 3713, 1408, 3828, 1309, 14974, 29637, 1158, 13010, 1150, 18272, 1125, 2076, 1309, 1207, 7338, 2252, 1125, 1158, 21351, 3942, 1146, 2334, 1575, 1557, 3382, 2008, 6335, 6482, 1338, 2085, 5688, 243, 17799, 1170, 2800, 1331, 1160, 1152, 1483, 1250, 1167, 3137, 1888, 1170, 9586, 1227, 2024, 177, 1112, 1186, 6340, 1199, 1188, 1158, 3260, 1307, 244, 5200, 1195, 1214, 1197, 30394, 1842, 29227, 2895, 1734, 1301, 1431, 1299, 10261, 1137, 3307, 250, 31558, 8004, 1199, 2079, 1170, 22342, 12825, 9304, 1986, 3093, 1143, 2652, 1690, 5906, 23131, 1207, 8214, 1328, 5825, 1151, 7097, 1392, 1125, 1158, 1734, 1301, 1431, 121, 1548, 9304, 1986, 1890, 1288, 2368, 27563, 1382, 14611, 1197, 8973, 12825, 3497, 1883, 1151, 7097, 1842, 5007, 1109, 1887, 116, 1508, 2205, 31494, 2137, 15826, 1108, 1112, 22323, 2359, 7433, 1405, 8486, 1299, 5998, 22323, 1317, 7433, 1350, 174, 2124, 1451, 1723, 18449, 28606, 1215, 1170, 9304, 1986, 1890, 1357, 1288, 2368, 27563, 1382, 14611, 1197, 8973, 9994, 2038, 1197, 2290, 4613, 1108, 1312, 14731, 8486, 6396, 5419, 1308, 7972, 1165, 3948, 1965, 488, 124, 132, 130, 128, 1405, 8486, 3835, 3948, 1308, 7972, 3032, 1109, 19359, 1673, 9905, 1306, 1193, 2765, 488, 125, 123, 123, 129, 1405, 8486, 7194, 27007, 1195, 1153, 116, 1200, 4500, 9992, 488, 124, 131, 124, 130, 1405, 8486, 26688, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4698, 1109, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4497, 1301, 1366, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 6713, 1287, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 17440, 174, 7972, 1548, 1519, 119, 488, 124, 131, 124, 127, 5532, 2038, 1304, 4870, 243, 1887, 1628, 3015, 1325, 157, 6460, 8623, 22081, 1162, 17482, 2359, 1519, 119, 15140, 12209, 488, 124, 131, 124, 127, 121, 10148, 1502, 1431, 23281, 1410, 5826, 1109, 19899, 16710, 25781, 241, 1331, 1810, 488, 130, 133, 488, 126, 131, 126, 458, 126, 131, 127, 1509, 124, 131, 124, 126, 2371, 488, 126, 131, 128, 458, 127, 126, 130, 1673, 488, 130, 129, 128, 458, 130, 129, 129, 1509, 124, 131, 124, 127, 3882, 5867, 19131, 1323, 1405, 8486, 5701, 488, 127, 126, 123, 1718, 158, 3249, 1875, 13821, 3276, 1109, 1190, 1673, 5191, 2620, 488, 125, 123, 123, 131, 133, 5286, 172, 6279, 1210, 196, 1136, 29701, 133, 6615, 16723, 1645, 16659, 1589, 3586, 3659, 1161, 3581, 1199, 7121, 1210, 196, 1136, 1119, 6335, 7678, 1161, 1135, 12556, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 17914, 488, 124, 130, 9994, 2624, 5825, 9323, 1167, 5474, 1194, 154, 174, 2124, 1259, 19609, 2911, 1108, 1112, 1125, 1805, 1301, 3524, 29610, 11246, 116, 32001, 1424, 32000, 20036, 2105, 3903, 2495, 6335, 7678, 17440, 174, 7972, 1393, 1110, 3998, 1153, 1161, 6335, 7678, 1147, 1135, 4772, 1350, 174, 2124, 1259, 7726, 2596, 1988, 7245, 3575, 1110, 11635, 13594, 1161, 2712, 1301, 1259, 2669, 1502, 1431, 13609, 1459, 9197, 119, 1252, 3903, 2495, 6335, 173, 1239, 16665, 1135, 2220, 1161, 1135, 13594, 1405, 8486, 1113, 1839, 1142, 2111, 13699, 2137, 1147, 1135, 3998, 1153, 1405, 8486, 1537, 1135, 3430, 6297, 1161, 5292, 1704, 1455, 2554, 3120, 11054, 2095, 1135, 2017, 6649, 1135, 13010, 1150, 18272, 1296, 2632, 1296, 1147, 1135, 30884, 1161, 1135, 3942, 1146, 2334, 1575, 1557, 3382, 1264, 2851, 2484, 6335, 7678, 28289, 1108, 1230, 1135, 1127, 1506, 9577, 23917, 2617, 1171, 21872, 1135, 30394, 1136, 9586, 1449, 17237, 1149, 1163, 1135, 3260, 1307, 176, 6154, 184, 8173, 1161, 30394, 3016, 29227, 3616, 1734, 1301, 1431, 1239, 10261, 1137, 3307, 25672, 1111, 4258, 9668, 10804, 6043, 22573, 2344, 19742, 5272, 1328, 7590, 1135, 14313, 1151, 25175, 8214, 1328, 1161, 1135, 1734, 1301, 1431, 121, 1410, 19742, 1145, 2927, 2778, 1375, 18570, 10675, 1135, 12424, 6043, 1151, 25175, 29820, 1175, 1395, 2554, 4495, 1393, 2763, 1318, 1134, 1132, 7745, 11893, 1124, 3998, 1153, 3616, 3998, 1153, 1405, 8486, 1239, 7367, 6670, 1163, 1135, 3998, 1153, 1350, 174, 2124, 1451, 1663, 1239, 23510, 2718, 1449, 1135, 19742, 1145, 2927, 1302, 2778, 1375, 18570, 10675, 1135, 12424, 7745, 1287, 8408, 1153, 2396, 14731, 8486, 6396, 5419, 1308, 7972, 1165, 3948, 1965, 488, 124, 132, 130, 128, 1405, 8486, 3835, 3948, 1308, 7972, 3032, 1109, 19359, 1673, 9905, 1306, 1193, 2765, 488, 125, 123, 123, 129, 1405, 8486, 7194, 27007, 1195, 1153, 116, 1200, 4500, 9992, 488, 124, 131, 124, 130, 1405, 8486, 26688, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4698, 1109, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4497, 1301, 1366, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 6713, 1287, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 17440, 174, 7972, 1548, 1519, 119, 488, 124, 131, 124, 127, 11934, 1954, 1429, 2396, 7012, 8756, 1163, 1325, 157, 6460, 2938, 17696, 7261, 8119, 2359, 1519, 119, 15140, 12209, 488, 124, 131, 124, 127, 121, 10148, 1502, 1431, 23281, 1410, 5826, 1109, 19899, 16710, 25781, 241, 1331, 1810, 488, 130, 133, 488, 126, 131, 126, 458, 126, 131, 127, 1509, 124, 131, 124, 126, 2371, 488, 126, 131, 128, 458, 127, 126, 130, 1673, 488, 130, 129, 128, 458, 130, 129, 129, 1509, 124, 131, 124, 127, 3882, 5867, 19131, 1323, 1405, 8486, 5701, 488, 127, 126, 123, 1718, 158, 3249, 1875, 13821, 3276, 1109, 1190, 1673, 5191, 2620, 488, 125, 123, 123, 131, 133, 5286, 172, 6279, 1210, 196, 1136, 29701, 133, 6615, 16723, 1645, 16659, 1589, 3586, 3659, 1161, 3581, 1199, 7121, 1210, 196, 1136, 1119, 6335, 7678, 1161, 1135, 12556, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 17914, 488, 124, 130, 6034, 6911, 14520, 9323, 1171, 22874, 1194, 154, 174, 2124, 1259, 19609, 2911, 28328, 1161, 2712, 1301, 1259, 190, 1175, 2865, 1354, 3796, 2220, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2105, 3903, 2495, 6335, 7678, 17440, 174, 7972, 1393, 1110, 3998, 1153, 1161, 6335, 7678, 1147, 1135, 4772, 1350, 174, 2124, 1259, 7726, 2596, 1988, 7245, 3575, 1110, 11635, 13594, 1161, 2712, 1301, 1259, 2669, 1502, 1431, 13609, 1459, 9197, 119, 1252, 3903, 2495, 6335, 173, 1239, 16665, 1135, 2220, 1161, 1135, 13594, 1405, 8486, 1113, 1839, 1142, 2111, 13699, 2137, 1147, 1135, 3998, 1153, 1405, 8486, 1537, 1135, 3430, 6297, 1161, 5292, 1704, 1455, 2554, 3120, 11054, 2095, 1135, 2017, 6649, 1135, 13010, 1150, 18272, 1296, 2632, 1296, 1147, 1135, 30884, 1161, 1135, 3942, 1146, 2334, 1575, 1557, 3382, 1264, 2851, 2484, 6335, 7678, 28289, 1108, 1230, 1135, 1127, 1506, 9577, 23917, 2617, 1171, 21872, 1135, 30394, 1136, 9586, 1449, 17237, 1149, 1163, 1135, 3260, 1307, 176, 6154, 184, 8173, 1161, 30394, 3016, 29227, 3616, 1734, 1301, 1431, 1239, 10261, 1137, 3307, 25672, 1111, 4258, 9668, 10804, 6043, 22573, 2344, 19742, 5272, 1328, 7590, 1135, 14313, 1151, 25175, 8214, 1328, 1161, 1135, 1734, 1301, 1431, 121, 1410, 19742, 1145, 2927, 2778, 1375, 18570, 10675, 1135, 12424, 6043, 1151, 25175, 29820, 1175, 1395, 2554, 4495, 1393, 2763, 1318, 1134, 1132, 7745, 11893, 1124, 3998, 1153, 3616, 3998, 1153, 1405, 8486, 1239, 7367, 6670, 1163, 1135, 3998, 1153, 1350, 174, 2124, 1451, 1663, 1239, 23510, 2718, 1449, 1135, 19742, 1145, 2927, 1302, 2778, 1375, 18570, 10675, 1135, 12424, 7745, 1287, 8408, 1153, 2396, 14731, 8486, 6396, 5419, 1308, 7972, 1165, 3948, 1965, 488, 124, 132, 130, 128, 1405, 8486, 3835, 3948, 1308, 7972, 3032, 1109, 19359, 1673, 9905, 1306, 1193, 2765, 488, 125, 123, 123, 129, 1405, 8486, 7194, 27007, 1195, 1153, 116, 1200, 4500, 9992, 488, 124, 131, 124, 130, 1405, 8486, 26688, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4698, 1109, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 4497, 1301, 1366, 1595, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 6713, 1287, 1308, 7972, 24058, 3378, 488, 124, 132, 130, 126, 1405, 8486, 17440, 174, 7972, 1548, 1519, 119, 488, 124, 131, 124, 127, 11934, 1954, 1429, 2396, 7012, 8756, 1163, 1325, 157, 6460, 2938, 17696, 7261, 8119, 2359, 1519, 119, 15140, 12209, 488, 124, 131, 124, 127, 121, 10148, 1502, 1431, 23281, 1410, 5826, 1109, 19899, 16710, 25781, 241, 1331, 1810, 488, 130, 133, 488, 126, 131, 126, 458, 126, 131, 127, 1509, 124, 131, 124, 126, 2371, 488, 126, 131, 128, 458, 127, 126, 130, 1673, 488, 130, 129, 128, 458, 130, 129, 129, 1509, 124, 131, 124, 127, 3882, 5867, 19131, 1323, 1405, 8486, 5701, 488, 127, 126, 123, 1718, 158, 3249, 1875, 13821, 3276, 1109, 1190, 1673, 5191, 2620, 488, 125, 123, 123, 131, 133, 5286, 172, 6279, 1210, 196, 1136, 29701, 133, 6615, 16723, 1645, 16659, 1589, 3586, 3659, 1161, 3581, 1199, 7121, 1210, 196, 1136, 1119, 6335, 7678, 1161, 1135, 12556, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 17914, 488, 124, 130, 6034, 6911, 14520, 9323, 1171, 22874, 1194, 154, 174, 2124, 1259, 19609, 2911, 28328, 1161, 2712, 1301, 1259, 190, 1175, 2865, 1354, 3796, 2220, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 11728, 31982, 24891, 4279, 1239, 1151, 4950, 5703, 1107, 9204, 1238, 6678, 488, 125, 131, 119, 488, 124, 132, 131, 126, 1147, 5796, 184, 15133, 1285, 11610, 8273, 1532, 1107, 19980, 7905, 1135, 1325, 6422, 3185, 4942, 9767, 3018, 14045, 1238, 4151, 488, 124, 123, 119, 488, 125, 123, 123, 131, 1449, 17809, 2267, 27142, 1325, 10574, 1238, 22233, 1171, 2491, 15943, 1683, 4737, 1765, 5783, 1238, 7262, 488, 124, 126, 119, 2903, 1238, 4153, 4064, 5826, 1977, 18281, 1857, 1388, 3466, 6674, 488, 127, 119, 488, 125, 123, 123, 132, 119, 1386, 9917, 1135, 1189, 4264, 8394, 4064, 1765, 16217, 5687, 1712, 1518, 1274, 1390, 8125, 191, 1355, 1135, 16906, 6508, 1147, 4304, 18641, 9321, 1993, 1696, 1238, 4153, 13715, 2197, 25653, 5683, 190, 1147, 1135, 488, 124, 1243, 1171, 488, 124, 125, 1276, 7094, 4495, 1171, 11744, 28499, 1135, 1325, 11372, 2729, 2771, 6067, 1386, 1463, 9874, 6856, 1161, 1135, 1325, 6422, 5783, 1238, 6324, 488, 124, 129, 119, 488, 125, 123, 124, 123, 1226, 25690, 1163, 21382, 1765, 1325, 11372, 2729, 191, 4064, 1266, 1230, 8830, 20043, 7218, 1161, 19521, 1765, 6755, 8459, 1659, 13612, 1105, 23479, 1388, 3466, 6678, 488, 124, 119, 488, 125, 123, 123, 132, 119, 1386, 17809, 1589, 1266, 1230, 8830, 20043, 1171, 2827, 7736, 1765, 1325, 11372, 5783, 7919, 2270, 1463, 6470, 9681, 1163, 1110, 7264, 1238, 6678, 488, 124, 124, 119, 1296, 8830, 20043, 1463, 6100, 5404, 1163, 1110, 1455, 2215, 1161, 25899, 1576, 2133, 19154, 1413, 1238, 7262, 488, 128, 1449, 1280, 2267, 17921, 1258, 27898, 1105, 1238, 22233, 2000, 1463, 1189, 2311, 176, 1589, 1147, 488, 125, 130, 1131, 4431, 4945, 17234, 1171, 2491, 9917, 1135, 1325, 6422, 2729, 191, 1446, 23479, 1238, 6324, 488, 125, 132, 119, 488, 125, 123, 124, 124, 6649, 7871, 488, 125, 123, 124, 124, 119, 1135, 1325, 6422, 119, 3703, 9874, 8699, 24891, 4279, 1161, 1765, 2352, 3476, 22127, 2667, 1135, 14045, 1147, 1169, 1625, 1758, 8304, 1226, 1110, 1624, 3018, 27470, 8394, 119, 9917, 1449, 1254, 19789, 7219, 2137, 1238, 7327, 488, 124, 130, 4064, 1202, 1219, 1728, 4466, 1124, 3288, 2181, 24891, 4279, 9750, 23359, 17255, 1119, 10170, 1140, 8200, 1174, 1242, 1121, 1238, 7286, 488, 124, 125, 1355, 1135, 1204, 24083, 5623, 1147, 16181, 26997, 1226, 1135, 1325, 11372, 5783, 121, 2133, 9917, 1449, 17118, 14585, 1272, 1147, 1135, 488, 131, 1276, 7094, 1388, 3466, 6384, 488, 132, 119, 488, 125, 123, 124, 125, 119, 1386, 9917, 1135, 1325, 11372, 9883, 1213, 9767, 5783, 1449, 17809, 2267, 1204, 17075, 11752, 1134, 1575, 186, 1238, 4153, 2470, 1110, 8394, 9137, 1589, 1449, 1135, 11412, 1461, 1109, 2181, 2133, 2491, 21437, 1269, 17809, 1589, 1248, 1153, 5930, 8448, 1259, 18185, 1651, 1238, 5696, 488, 124, 129, 119, 488, 125, 123, 124, 126, 1171, 25813, 27111, 1918, 5090, 1238, 7357, 488, 124, 125, 119, 488, 125, 123, 124, 126, 121, 2133, 14969, 8720, 1413, 1325, 11372, 5783, 1238, 6674, 488, 124, 125, 119, 488, 125, 123, 124, 127, 1449, 4153, 1163, 1204, 17075, 11752, 1134, 1575, 186, 1147, 1789, 1878, 1866, 2979, 1169, 14682, 1149, 1341, 1238, 7286, 488, 130, 2470, 1290, 9940, 19828, 1105, 1248, 7531, 1147, 1135, 488, 132, 1276, 7094, 18898, 1963, 6528, 2470, 6527, 2267, 1135, 1325, 11372, 2729, 3378, 24891, 4279, 8720, 1163, 11752, 1134, 1575, 186, 2903, 1238, 4153, 2470, 26024, 2197, 25653, 5683, 190, 1147, 1135, 488, 130, 1276, 1171, 488, 132, 1276, 7094, 190, 1238, 6674, 488, 132, 119, 488, 125, 123, 124, 129, 7552, 1210, 1214, 16417, 1853, 1195, 31982, 24891, 4279, 1602, 2023, 1110, 6644, 1161, 1135, 5940, 14967, 1149, 9271, 1161, 1252, 1344, 3976, 488, 125, 123, 125, 126, 1388, 1891, 9520, 1194, 26722, 14520, 11050, 16609, 5703, 1107, 5486, 6422, 5055, 14967, 1149, 22672, 5486, 11372, 5055, 14967, 1149, 22672, 2056, 2589, 1147, 6678, 488, 124, 132, 131, 126, 2056, 2589, 1147, 5796, 184, 23861, 1972, 3835, 7411, 1575, 116, 32001, 1424, 32000, 20036, 24623, 11728, 31982, 24891, 4279, 1299, 1189, 5703, 1929, 8403, 5252, 1170, 488, 125, 131, 3201, 488, 124, 132, 131, 126, 1188, 5796, 184, 15133, 1285, 7892, 1214, 25886, 4096, 25268, 7354, 14045, 1227, 2854, 1197, 10972, 3185, 2992, 1603, 1201, 1325, 6422, 1170, 488, 124, 123, 2738, 488, 125, 123, 123, 131, 1186, 8585, 1199, 1571, 4153, 27142, 1325, 10574, 2648, 23951, 1561, 20450, 1170, 488, 124, 126, 2584, 1125, 3631, 1571, 4153, 3691, 1188, 5826, 1977, 18281, 1857, 8155, 488, 127, 3012, 488, 125, 123, 123, 132, 119, 1527, 18900, 1317, 6508, 16906, 1125, 17477, 1170, 9524, 1125, 6169, 4264, 1282, 29626, 1199, 1188, 1594, 1417, 9736, 2303, 1518, 1274, 1390, 8125, 191, 9321, 1146, 8648, 1571, 4153, 10336, 2069, 25653, 5683, 190, 1994, 1120, 1571, 488, 124, 1107, 1167, 488, 124, 125, 176, 7094, 4495, 1167, 2368, 4450, 1532, 2442, 1125, 1158, 20450, 1325, 11372, 121, 1768, 1299, 11103, 1197, 2228, 244, 1215, 1158, 1325, 6422, 1170, 488, 124, 129, 2749, 488, 125, 123, 124, 123, 1256, 2782, 27190, 20590, 1561, 20450, 1325, 11372, 2714, 1266, 1230, 8830, 20043, 6617, 1309, 12863, 2548, 1213, 1594, 8459, 1107, 9229, 119, 13612, 1105, 23479, 8155, 488, 124, 1107, 3201, 488, 125, 123, 123, 132, 119, 1527, 10907, 1266, 1230, 8830, 20043, 1167, 23951, 2442, 1594, 3694, 1325, 11372, 13037, 7679, 2934, 20540, 1186, 1189, 3904, 14271, 1170, 488, 124, 124, 3201, 119, 8830, 20043, 6058, 10193, 1188, 1282, 4691, 2240, 1188, 1158, 3011, 2335, 20577, 1125, 1111, 3464, 1576, 1768, 4341, 1176, 1647, 1170, 488, 128, 2584, 1186, 27657, 1571, 4153, 17921, 1258, 27898, 2114, 2463, 1262, 16598, 28363, 12284, 1186, 488, 125, 130, 9524, 1285, 2648, 2368, 4450, 1532, 1125, 1158, 20450, 1325, 6422, 1571, 18352, 5519, 2643, 9061, 1170, 488, 125, 132, 2749, 488, 125, 123, 124, 124, 8370, 3141, 488, 125, 123, 124, 124, 119, 1158, 1325, 6422, 119, 2130, 15387, 1594, 3694, 1188, 24891, 15151, 1170, 21552, 14045, 1186, 10436, 1440, 1357, 4253, 1439, 1158, 13858, 2335, 3631, 9524, 1125, 16277, 1227, 2854, 2487, 1254, 19789, 7219, 2137, 5016, 15953, 19495, 1170, 488, 124, 130, 2875, 3691, 1188, 1202, 1219, 1728, 4466, 1124, 3288, 2181, 2814, 27610, 1262, 26234, 1148, 12048, 1170, 16620, 1262, 10170, 1140, 8200, 1174, 1242, 1121, 1170, 488, 124, 125, 2578, 1317, 1204, 24083, 5623, 1125, 16181, 26997, 1256, 1170, 3694, 1325, 11372, 121, 1768, 22058, 12301, 1215, 13956, 1125, 5753, 1614, 1315, 1317, 488, 131, 176, 7094, 8155, 488, 132, 2798, 488, 125, 123, 124, 125, 119, 1527, 2368, 4450, 1532, 1227, 3694, 1325, 11372, 1197, 10972, 1144, 6932, 1201, 2750, 2368, 1640, 10100, 244, 1571, 4153, 2714, 1204, 17075, 11752, 1134, 1575, 186, 1317, 6706, 2335, 9524, 11904, 2698, 3356, 1215, 1170, 1747, 6554, 1109, 2648, 10907, 2445, 1125, 1996, 1248, 1153, 5930, 8448, 1259, 18185, 1651, 1170, 488, 124, 129, 2829, 488, 125, 123, 124, 126, 1167, 25813, 27111, 1918, 5090, 1170, 488, 124, 125, 2822, 488, 125, 123, 124, 126, 121, 1768, 7171, 12048, 1440, 3694, 1325, 11372, 1170, 488, 124, 125, 3012, 488, 125, 123, 124, 127, 1186, 2368, 3720, 1109, 1199, 1571, 4153, 3691, 1188, 1204, 17075, 11752, 1134, 1575, 186, 2391, 1125, 1964, 9524, 3360, 3383, 2567, 1125, 1170, 1878, 12402, 1318, 9640, 2768, 1170, 488, 130, 2578, 2750, 1561, 14789, 1215, 9771, 1125, 10905, 5982, 1112, 1317, 488, 132, 176, 7094, 2714, 19828, 1105, 1248, 7531, 31265, 1250, 2879, 2750, 2782, 20349, 1158, 20450, 1325, 11372, 6527, 7352, 24891, 4279, 7171, 1188, 3631, 1571, 4153, 2714, 11752, 1134, 1575, 186, 2750, 2782, 26342, 2069, 25653, 5683, 190, 1571, 488, 130, 176, 1167, 488, 132, 176, 7094, 190, 1170, 488, 132, 3012, 488, 125, 123, 124, 129, 8509, 1267, 15004, 1424, 6763, 31982, 24891, 4279, 1299, 6711, 1125, 17289, 13200, 14967, 1149, 9271, 1161, 1252, 1344, 2757, 488, 125, 123, 125, 126, 24890, 7364, 5825, 2093, 7891, 1929, 8403, 4196, 1916, 1231, 1227, 2854, 1125, 5703, 176, 1325, 6422, 4196, 1916, 1231, 1227, 2854, 1125, 5703, 176, 1325, 11372, 8156, 1186, 3201, 488, 124, 132, 131, 126, 8156, 1188, 5796, 184, 23861, 1972, 3835, 7411, 1214, 116, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24623, 11728, 31982, 24891, 4279, 1299, 1189, 5703, 1929, 8403, 5252, 1170, 488, 125, 131, 3201, 488, 124, 132, 131, 126, 1188, 5796, 184, 15133, 1285, 7892, 1214, 25886, 4096, 25268, 7354, 14045, 1227, 2854, 1197, 10972, 3185, 2992, 1603, 1201, 1325, 6422, 1170, 488, 124, 123, 2738, 488, 125, 123, 123, 131, 1186, 8585, 1199, 1571, 4153, 27142, 1325, 10574, 2648, 23951, 1561, 20450, 1170, 488, 124, 126, 2584, 1125, 3631, 1571, 4153, 3691, 1188, 5826, 1977, 18281, 1857, 8155, 488, 127, 3012, 488, 125, 123, 123, 132, 119, 1527, 18900, 1317, 6508, 16906, 1125, 17477, 1170, 9524, 1125, 6169, 4264, 1282, 29626, 1199, 1188, 1594, 1417, 9736, 2303, 1518, 1274, 1390, 8125, 191, 9321, 1146, 8648, 1571, 4153, 10336, 2069, 25653, 5683, 190, 1994, 1120, 1571, 488, 124, 1107, 1167, 488, 124, 125, 176, 7094, 4495, 1167, 2368, 4450, 1532, 2442, 1125, 1158, 20450, 1325, 11372, 121, 1768, 1299, 11103, 1197, 2228, 244, 1215, 1158, 1325, 6422, 1170, 488, 124, 129, 2749, 488, 125, 123, 124, 123, 1256, 2782, 27190, 20590, 1561, 20450, 1325, 11372, 2714, 1266, 1230, 8830, 20043, 6617, 1309, 12863, 2548, 1213, 1594, 8459, 1107, 9229, 119, 13612, 1105, 23479, 8155, 488, 124, 1107, 3201, 488, 125, 123, 123, 132, 119, 1527, 10907, 1266, 1230, 8830, 20043, 1167, 23951, 2442, 1594, 3694, 1325, 11372, 13037, 7679, 2934, 20540, 1186, 1189, 3904, 14271, 1170, 488, 124, 124, 3201, 119, 8830, 20043, 6058, 10193, 1188, 1282, 4691, 2240, 1188, 1158, 3011, 2335, 20577, 1125, 1111, 3464, 1576, 1768, 4341, 1176, 1647, 1170, 488, 128, 2584, 1186, 27657, 1571, 4153, 17921, 1258, 27898, 2114, 2463, 1262, 16598, 28363, 12284, 1186, 488, 125, 130, 9524, 1285, 2648, 2368, 4450, 1532, 1125, 1158, 20450, 1325, 6422, 1571, 18352, 5519, 2643, 9061, 1170, 488, 125, 132, 2749, 488, 125, 123, 124, 124, 8370, 3141, 488, 125, 123, 124, 124, 119, 1158, 1325, 6422, 119, 2130, 15387, 1594, 3694, 1188, 24891, 15151, 1170, 21552, 14045, 1186, 10436, 1440, 1357, 4253, 1439, 1158, 13858, 2335, 3631, 9524, 1125, 16277, 1227, 2854, 2487, 1254, 19789, 7219, 2137, 5016, 15953, 19495, 1170, 488, 124, 130, 2875, 3691, 1188, 1202, 1219, 1728, 4466, 1124, 3288, 2181, 2814, 27610, 1262, 26234, 1148, 12048, 1170, 16620, 1262, 10170, 1140, 8200, 1174, 1242, 1121, 1170, 488, 124, 125, 2578, 1317, 1204, 24083, 5623, 1125, 16181, 26997, 1256, 1170, 3694, 1325, 11372, 121, 1768, 22058, 12301, 1215, 13956, 1125, 5753, 1614, 1315, 1317, 488, 131, 176, 7094, 8155, 488, 132, 2798, 488, 125, 123, 124, 125, 119, 1527, 2368, 4450, 1532, 1227, 3694, 1325, 11372, 1197, 10972, 1144, 6932, 1201, 2750, 2368, 1640, 10100, 244, 1571, 4153, 2714, 1204, 17075, 11752, 1134, 1575, 186, 1317, 6706, 2335, 9524, 11904, 2698, 3356, 1215, 1170, 1747, 6554, 1109, 2648, 10907, 2445, 1125, 1996, 1248, 1153, 5930, 8448, 1259, 18185, 1651, 1170, 488, 124, 129, 2829, 488, 125, 123, 124, 126, 1167, 25813, 27111, 1918, 5090, 1170, 488, 124, 125, 2822, 488, 125, 123, 124, 126, 121, 1768, 7171, 12048, 1440, 3694, 1325, 11372, 1170, 488, 124, 125, 3012, 488, 125, 123, 124, 127, 1186, 2368, 3720, 1109, 1199, 1571, 4153, 3691, 1188, 1204, 17075, 11752, 1134, 1575, 186, 2391, 1125, 1964, 9524, 3360, 3383, 2567, 1125, 1170, 1878, 12402, 1318, 9640, 2768, 1170, 488, 130, 2578, 2750, 1561, 14789, 1215, 9771, 1125, 10905, 5982, 1112, 1317, 488, 132, 176, 7094, 2714, 19828, 1105, 1248, 7531, 31265, 1250, 2879, 2750, 2782, 20349, 1158, 20450, 1325, 11372, 6527, 7352, 24891, 4279, 7171, 1188, 3631, 1571, 4153, 2714, 11752, 1134, 1575, 186, 2750, 2782, 26342, 2069, 25653, 5683, 190, 1571, 488, 130, 176, 1167, 488, 132, 176, 7094, 190, 1170, 488, 132, 3012, 488, 125, 123, 124, 129, 8509, 1267, 15004, 1424, 6763, 31982, 24891, 4279, 1299, 6711, 1125, 17289, 13200, 14967, 1149, 9271, 1161, 1252, 1344, 2757, 488, 125, 123, 125, 126, 24890, 7364, 5825, 2093, 7891, 1929, 8403, 4196, 1916, 1231, 1227, 2854, 1125, 5703, 176, 1325, 6422, 4196, 1916, 1231, 1227, 2854, 1125, 5703, 176, 1325, 11372, 8156, 1186, 3201, 488, 124, 132, 131, 126, 8156, 1188, 5796, 184, 23861, 1972, 3835, 7411, 1214, 116, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 159, 196, 1154, 2294, 6196, 14232, 1170, 488, 124, 130, 2829, 488, 124, 132, 131, 132, 1188, 28634, 5407, 1317, 10037, 1157, 2433, 1299, 1318, 10809, 1632, 6049, 1125, 14690, 27389, 1125, 3624, 1902, 5263, 8012, 14045, 1245, 20761, 4513, 488, 125, 123, 124, 124, 1469, 1207, 12988, 1192, 113, 8372, 20182, 9505, 3879, 1632, 1256, 1561, 7027, 119, 2399, 1299, 17874, 1256, 4110, 1207, 8004, 190, 16827, 14231, 2093, 17971, 23025, 13076, 2057, 1712, 11330, 1285, 2399, 8827, 1186, 8468, 488, 124, 131, 119, 128, 22233, 488, 124, 123, 9505, 1414, 1285, 488, 127, 24266, 1167, 488, 126, 1597, 12586, 1186, 12546, 121, 3450, 1299, 28359, 5260, 23810, 6266, 15809, 190, 3454, 4950, 121, 3450, 16773, 21455, 1125, 12988, 1192, 113, 8372, 6982, 1318, 9640, 5910, 11115, 1712, 2676, 19702, 1175, 128, 119, 125, 4153, 116, 2750, 1318, 9814, 1278, 1317, 3998, 1118, 1188, 1594, 6663, 2806, 2399, 4212, 1188, 488, 124, 123, 119, 129, 9911, 2419, 7352, 2585, 5941, 180, 1378, 2571, 9695, 16773, 10796, 121, 1653, 24638, 119, 1170, 23504, 30667, 3333, 1207, 1192, 3514, 1429, 15545, 3694, 3781, 119, 20562, 1154, 9846, 1557, 5725, 1189, 7950, 1188, 3203, 4153, 1805, 1120, 1221, 1186, 1622, 1125, 6666, 1256, 31644, 1207, 1252, 1580, 1149, 20518, 1125, 7875, 28423, 121, 6982, 1909, 488, 124, 126, 119, 131, 4153, 1186, 24638, 119, 2399, 1186, 8827, 1186, 8468, 488, 124, 126, 119, 124, 1186, 12546, 8509, 5346, 1303, 1186, 488, 125, 123, 124, 125, 1215, 1207, 1173, 1436, 3583, 1125, 10221, 9467, 1346, 2399, 4249, 1382, 5416, 1303, 1256, 1158, 6586, 1325, 153, 8757, 488, 125, 123, 124, 125, 121, 3450, 18197, 1561, 3453, 5541, 6049, 1469, 10796, 2515, 3589, 1766, 2100, 5519, 1276, 1126, 1310, 1141, 1125, 6284, 7927, 121, 1653, 488, 124, 132, 7120, 1346, 2399, 27891, 1890, 488, 124, 129, 119, 125, 22233, 488, 129, 119, 128, 9505, 8963, 1167, 488, 125, 119, 130, 24266, 1805, 1120, 4111, 30079, 12368, 1186, 24088, 1317, 1200, 2282, 2769, 1153, 197, 182, 13597, 1723, 1594, 5234, 1299, 1894, 10898, 1256, 8852, 12715, 1457, 2502, 1158, 11083, 1186, 18541, 1317, 30382, 186, 1518, 25875, 8370, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 119, 2399, 1288, 10809, 11471, 6666, 1256, 1170, 5878, 28721, 1108, 1125, 13082, 1128, 7002, 2215, 17095, 2648, 12368, 1158, 6586, 10549, 1469, 1170, 2969, 192, 1186, 16277, 27385, 12990, 1173, 13998, 1350, 4705, 9269, 8509, 1267, 1109, 7683, 6331, 21311, 174, 23810, 6266, 1361, 3454, 4950, 1175, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 15856, 1109, 8765, 1227, 16277, 20761, 4513, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 1718, 155, 26361, 1424, 2330, 1916, 1231, 1245, 20761, 4513, 1469, 12988, 1192, 113, 152, 1175, 125, 123, 124, 124, 9004, 7415, 19477, 17147, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 125, 23305, 1262, 19495, 1227, 20704, 1593, 1125, 1158, 8865, 488, 124, 125, 1175, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 1718, 20634, 1167, 16828, 5825, 1424, 2101, 4137, 1192, 3514, 1429, 2073, 15410, 1125, 1158, 12244, 20761, 4513, 488, 125, 123, 124, 124, 1194, 149, 15167, 1632, 13900, 1125, 14690, 27389, 2278, 15167, 1632, 19039, 1303, 1215, 1207, 1173, 1436, 3583, 1125, 10221, 15486, 2278, 15167, 1632, 1125, 14690, 27389, 1197, 1192, 3514, 1429, 1125, 12988, 1192, 113, 152, 8156, 1186, 2829, 488, 124, 132, 131, 132, 8156, 1188, 28634, 5407, 4698, 1470, 1157, 9630, 114, 32001, 1424, 32000, 20036, 1853, 196, 1154, 2294, 6196, 9204, 1238, 5696, 488, 124, 130, 119, 488, 124, 132, 131, 132, 1147, 28634, 21470, 10037, 1157, 2433, 1239, 1110, 8801, 25471, 7402, 1161, 4950, 3781, 6357, 20761, 4513, 14045, 1147, 488, 125, 123, 124, 124, 1324, 12988, 1192, 113, 8372, 1192, 2913, 9505, 14972, 1226, 2067, 25028, 2293, 1239, 5388, 1226, 7033, 3283, 29664, 9663, 180, 11114, 1194, 5395, 1306, 2057, 1712, 1204, 6693, 6815, 5761, 119, 2293, 5979, 5757, 488, 124, 131, 121, 128, 22233, 488, 124, 123, 9505, 1615, 1285, 488, 127, 1693, 4045, 1171, 488, 126, 3396, 2314, 1296, 1110, 12546, 121, 3676, 1463, 9463, 1110, 5260, 23810, 6266, 1361, 3454, 4950, 121, 3676, 2491, 22539, 12988, 1192, 113, 152, 4017, 121, 6226, 1110, 19159, 11115, 1712, 1976, 1175, 128, 121, 125, 4153, 116, 5404, 1163, 1110, 25372, 176, 19365, 7412, 24365, 119, 2293, 10892, 2067, 30718, 1163, 488, 124, 123, 121, 129, 4153, 1147, 1135, 3602, 1976, 2043, 5941, 180, 1378, 2571, 9695, 14010, 1135, 26964, 1459, 2067, 24638, 8641, 1135, 23504, 7947, 1135, 1192, 3514, 1429, 1163, 1135, 3781, 2352, 3476, 1324, 20562, 1154, 9846, 5096, 1110, 2712, 1120, 1647, 3337, 24217, 11731, 1355, 1135, 2283, 1161, 1135, 3654, 1163, 30901, 7875, 28423, 121, 6226, 5979, 7025, 488, 124, 126, 121, 131, 4153, 1296, 1110, 24638, 119, 2293, 2491, 22568, 1151, 8767, 1161, 488, 124, 126, 121, 124, 4153, 1147, 2067, 12546, 1976, 8509, 14192, 1427, 1449, 1135, 10221, 15486, 1173, 1436, 3583, 1147, 488, 125, 123, 124, 125, 119, 2293, 1463, 1375, 2827, 7736, 1226, 1135, 488, 125, 123, 124, 125, 1325, 153, 8757, 25972, 3676, 2055, 2067, 1940, 8801, 4373, 1324, 1135, 18931, 21620, 1248, 16925, 3390, 15989, 1126, 1310, 1141, 1125, 6284, 7927, 121, 1459, 488, 124, 132, 25236, 2293, 5979, 5757, 488, 124, 129, 121, 125, 22233, 488, 129, 121, 128, 9505, 1615, 1285, 1171, 488, 125, 121, 130, 1693, 4045, 7745, 1122, 13942, 1324, 1200, 2282, 2769, 1153, 197, 182, 1246, 1147, 3346, 8255, 1663, 2067, 6013, 1463, 1116, 1336, 2128, 1226, 8964, 5692, 1297, 3676, 2491, 9273, 1147, 18541, 1226, 30382, 186, 1518, 25875, 6649, 1135, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 21326, 2293, 9273, 2155, 1704, 3654, 1226, 1135, 27151, 5878, 13082, 1128, 7002, 2215, 17095, 2979, 29767, 1324, 1173, 13998, 1350, 4705, 193, 1810, 1110, 20882, 10901, 1427, 3390, 1147, 1135, 1165, 30409, 27470, 119, 1135, 3602, 6062, 8732, 26981, 16131, 1500, 1720, 174, 23810, 6266, 1361, 3454, 4950, 1175, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 12537, 142, 4513, 19047, 2804, 1267, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 1718, 140, 1210, 1214, 1196, 1525, 1875, 142, 4513, 22672, 1324, 12988, 1192, 113, 152, 1175, 125, 123, 124, 124, 9004, 7415, 19477, 17147, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 125, 13667, 1205, 488, 124, 125, 20704, 4080, 1325, 8614, 1175, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1853, 196, 1154, 2294, 6196, 9204, 1238, 5696, 488, 124, 130, 119, 488, 124, 132, 131, 132, 1147, 28634, 21470, 10037, 1157, 2433, 1239, 1110, 8801, 25471, 7402, 1161, 4950, 3781, 6357, 20761, 4513, 14045, 1147, 488, 125, 123, 124, 124, 1324, 12988, 1192, 113, 8372, 1192, 2913, 9505, 14972, 1226, 2067, 25028, 2293, 1239, 5388, 1226, 7033, 3283, 29664, 9663, 180, 11114, 1194, 5395, 1306, 2057, 1712, 1204, 6693, 6815, 5761, 119, 2293, 5979, 5757, 488, 124, 131, 121, 128, 22233, 488, 124, 123, 9505, 1615, 1285, 488, 127, 1693, 4045, 1171, 488, 126, 3396, 2314, 1296, 1110, 12546, 121, 3676, 1463, 9463, 1110, 5260, 23810, 6266, 1361, 3454, 4950, 121, 3676, 2491, 22539, 12988, 1192, 113, 152, 4017, 121, 6226, 1110, 19159, 11115, 1712, 1976, 1175, 128, 121, 125, 4153, 116, 5404, 1163, 1110, 25372, 176, 19365, 7412, 24365, 119, 2293, 10892, 2067, 30718, 1163, 488, 124, 123, 121, 129, 4153, 1147, 1135, 3602, 1976, 2043, 5941, 180, 1378, 2571, 9695, 14010, 1135, 26964, 1459, 2067, 24638, 8641, 1135, 23504, 7947, 1135, 1192, 3514, 1429, 1163, 1135, 3781, 2352, 3476, 1324, 20562, 1154, 9846, 5096, 1110, 2712, 1120, 1647, 3337, 24217, 11731, 1355, 1135, 2283, 1161, 1135, 3654, 1163, 30901, 7875, 28423, 121, 6226, 5979, 7025, 488, 124, 126, 121, 131, 4153, 1296, 1110, 24638, 119, 2293, 2491, 22568, 1151, 8767, 1161, 488, 124, 126, 121, 124, 4153, 1147, 2067, 12546, 1976, 8509, 14192, 1427, 1449, 1135, 10221, 15486, 1173, 1436, 3583, 1147, 488, 125, 123, 124, 125, 119, 2293, 1463, 1375, 2827, 7736, 1226, 1135, 488, 125, 123, 124, 125, 1325, 153, 8757, 25972, 3676, 2055, 2067, 1940, 8801, 4373, 1324, 1135, 18931, 21620, 1248, 16925, 3390, 15989, 1126, 1310, 1141, 1125, 6284, 7927, 121, 1459, 488, 124, 132, 25236, 2293, 5979, 5757, 488, 124, 129, 121, 125, 22233, 488, 129, 121, 128, 9505, 1615, 1285, 1171, 488, 125, 121, 130, 1693, 4045, 7745, 1122, 13942, 1324, 1200, 2282, 2769, 1153, 197, 182, 1246, 1147, 3346, 8255, 1663, 2067, 6013, 1463, 1116, 1336, 2128, 1226, 8964, 5692, 1297, 3676, 2491, 9273, 1147, 18541, 1226, 30382, 186, 1518, 25875, 6649, 1135, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 21326, 2293, 9273, 2155, 1704, 3654, 1226, 1135, 27151, 5878, 13082, 1128, 7002, 2215, 17095, 2979, 29767, 1324, 1173, 13998, 1350, 4705, 193, 1810, 1110, 20882, 10901, 1427, 3390, 1147, 1135, 1165, 30409, 27470, 119, 1135, 3602, 6062, 8732, 26981, 16131, 1500, 1720, 174, 23810, 6266, 1361, 3454, 4950, 1175, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 12537, 142, 4513, 19047, 2804, 1267, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 1718, 140, 1210, 1214, 1196, 1525, 1875, 142, 4513, 22672, 1324, 12988, 1192, 113, 152, 1175, 125, 123, 124, 124, 9004, 7415, 19477, 17147, 1175, 125, 123, 123, 132, 119, 488, 125, 123, 124, 125, 13667, 1205, 488, 124, 125, 20704, 4080, 1325, 8614, 1175, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 15226, 1399, 1233, 1259, 1109, 1239, 1110, 9197, 15476, 9204, 1147, 3991, 197, 15316, 1293, 2916, 10645, 1238, 4151, 488, 126, 119, 488, 124, 131, 129, 132, 119, 1171, 12743, 1147, 16049, 1238, 7327, 488, 128, 119, 488, 124, 132, 125, 126, 9663, 180, 11114, 18491, 1399, 1233, 1259, 1109, 9713, 1589, 1940, 1446, 1135, 2605, 10070, 25403, 16185, 2228, 3051, 1147, 488, 124, 131, 131, 130, 119, 1171, 20642, 1147, 1135, 15851, 2453, 1147, 1293, 2916, 1208, 4945, 488, 124, 132, 123, 130, 1296, 1135, 11299, 1161, 1135, 3875, 1147, 29905, 1342, 1109, 3840, 3551, 10611, 2596, 2133, 17032, 3347, 13228, 1171, 7905, 1151, 11886, 1355, 1643, 2315, 1125, 16049, 1167, 1227, 6455, 9081, 192, 7965, 2468, 1386, 5939, 191, 1324, 6850, 23629, 1135, 9378, 1104, 20000, 6649, 488, 124, 131, 132, 129, 119, 1386, 20883, 19251, 1167, 9670, 1314, 7489, 1110, 6601, 14874, 1163, 20000, 5416, 2071, 8957, 22271, 1171, 1189, 9046, 3245, 3033, 10874, 26227, 4767, 8389, 14835, 8119, 1463, 12702, 1226, 1905, 13478, 1433, 3162, 1449, 1765, 3945, 6442, 13413, 6715, 3602, 1135, 25100, 1361, 17540, 2707, 6798, 1297, 1192, 1618, 1161, 7941, 2563, 4633, 1399, 1233, 1259, 1109, 5376, 18840, 1110, 1131, 1452, 1221, 1203, 6601, 1147, 1765, 15681, 133, 1548, 1352, 2214, 26392, 1388, 3780, 6470, 8226, 14124, 1125, 29905, 1342, 1109, 3840, 3551, 10611, 176, 1188, 4759, 1207, 6245, 3967, 1171, 5057, 17567, 1267, 10704, 5893, 17971, 3293, 1197, 9241, 1104, 14462, 1429, 1175, 7103, 10903, 7993, 1974, 119, 6721, 488, 124, 132, 124, 123, 25758, 22973, 1115, 2163, 4698, 7060, 119, 2801, 488, 124, 132, 124, 124, 1496, 6971, 1151, 12886, 1364, 6216, 1446, 1135, 16049, 15567, 2359, 7808, 1125, 10759, 9901, 179, 25463, 3536, 7192, 1136, 1175, 224, 2527, 2068, 13227, 9436, 119, 6721, 488, 124, 132, 124, 126, 1576, 12416, 3692, 1589, 1449, 12209, 4101, 121, 1165, 1212, 1869, 119, 488, 125, 128, 129, 1113, 7231, 2192, 13782, 10704, 16736, 1135, 5013, 1161, 1110, 1381, 23298, 1446, 1135, 9378, 1104, 6054, 1446, 1135, 26344, 1163, 1135, 10220, 1161, 1135, 488, 125, 123, 1276, 14917, 2305, 1988, 1463, 21302, 1449, 1135, 3506, 15422, 5964, 1147, 488, 124, 132, 125, 125, 121, 1410, 8024, 1239, 15183, 1171, 6131, 4496, 1135, 28568, 8779, 1161, 1293, 1342, 2291, 21785, 1393, 3981, 1580, 28904, 1171, 1135, 8153, 2000, 2179, 3447, 2172, 1366, 1397, 1393, 16824, 1244, 1388, 5395, 1765, 6775, 119, 1386, 3936, 5057, 31887, 13739, 19280, 3055, 1285, 3813, 1548, 6707, 2433, 1110, 2533, 31746, 14953, 2133, 1463, 22951, 24789, 1161, 6580, 11942, 1147, 488, 124, 132, 124, 124, 1388, 10488, 2523, 30609, 1125, 29905, 1342, 1109, 1175, 124, 132, 123, 129, 12255, 192, 9299, 1197, 9241, 1104, 14462, 1429, 1175, 124, 132, 124, 123, 25758, 1321, 26530, 1200, 2163, 1175, 124, 132, 124, 124, 21672, 12047, 1125, 10759, 9901, 24441, 1175, 124, 132, 124, 126, 1718, 26722, 14520, 12323, 2589, 1147, 4151, 488, 124, 131, 129, 132, 2056, 2589, 1147, 3991, 197, 1183, 7194, 2916, 1208, 12125, 2295, 1147, 7327, 488, 124, 132, 125, 126, 1763, 2295, 1147, 16049, 2105, 30206, 15476, 1161, 1135, 488, 125, 123, 1276, 14851, 1763, 2295, 1355, 7227, 488, 128, 127, 4297, 32001, 1424, 32000, 20036, 5526, 184, 1399, 1233, 1259, 1109, 1299, 1189, 29542, 2720, 5252, 1188, 3991, 197, 15316, 1293, 2916, 10645, 1170, 488, 126, 2738, 488, 124, 131, 129, 132, 119, 4541, 1188, 16049, 1170, 488, 128, 2875, 488, 124, 132, 125, 126, 14231, 1628, 16435, 3151, 1125, 12547, 10070, 25403, 16185, 2228, 3051, 1125, 488, 124, 131, 131, 130, 119, 4633, 1399, 1233, 1259, 1109, 2377, 172, 22571, 488, 124, 132, 123, 130, 1313, 26138, 1185, 1187, 1414, 1109, 1186, 4083, 1309, 8328, 1125, 19543, 1125, 29905, 1342, 1109, 3840, 3551, 10611, 2596, 1653, 10575, 1313, 1170, 3347, 1790, 4048, 1527, 1971, 1343, 5367, 21339, 1188, 1643, 2315, 1125, 16049, 1167, 1227, 6455, 9081, 192, 7965, 2585, 1527, 25098, 1188, 2368, 26663, 1197, 4502, 5958, 1158, 13996, 4985, 4964, 8370, 488, 124, 131, 132, 129, 119, 1527, 3080, 172, 19251, 1167, 9670, 1314, 1250, 6601, 1125, 9293, 23672, 1450, 2487, 1207, 3412, 5716, 1312, 1167, 15577, 2137, 17965, 1129, 7581, 4253, 6957, 6280, 1215, 4292, 1110, 1913, 18280, 1214, 3672, 1318, 5312, 5725, 2100, 16981, 1473, 1215, 1909, 1166, 1550, 1117, 2563, 6441, 10768, 19119, 1207, 20842, 1125, 1594, 20840, 121, 30988, 1125, 2866, 15354, 2605, 184, 1399, 1233, 1259, 1109, 10452, 172, 1313, 1561, 12614, 1189, 6601, 7788, 1298, 2038, 1257, 1548, 1352, 2214, 26392, 12258, 2976, 172, 6349, 14124, 1125, 29905, 1342, 1109, 3840, 3551, 10611, 176, 1188, 4759, 1207, 6245, 3967, 1167, 3171, 29397, 15257, 4195, 1257, 9497, 3293, 1197, 9241, 1104, 14462, 1429, 1175, 7103, 10903, 7993, 1974, 119, 6721, 488, 124, 132, 124, 123, 25758, 22973, 1115, 2163, 4698, 7060, 119, 2801, 488, 124, 132, 124, 124, 1496, 6216, 12886, 1364, 1125, 10721, 15422, 1125, 16049, 2359, 7808, 1125, 10759, 9901, 179, 25463, 3536, 7192, 1136, 1175, 224, 2527, 2068, 13227, 9436, 119, 6721, 488, 124, 132, 124, 126, 1576, 12416, 24296, 1125, 12209, 4101, 121, 1165, 1212, 1869, 119, 488, 125, 128, 129, 1113, 7231, 1165, 10211, 1829, 7808, 6115, 13503, 1158, 2492, 2335, 3293, 1119, 4985, 1212, 1125, 5613, 26875, 15545, 4319, 1227, 23841, 6298, 121, 1768, 2985, 2107, 8001, 1215, 31805, 5964, 1167, 7798, 1186, 3248, 1186, 488, 124, 132, 125, 125, 121, 1643, 7150, 1299, 16682, 2009, 1167, 7874, 4496, 1207, 1805, 1500, 1227, 9299, 1185, 1342, 2291, 1508, 12570, 2636, 1167, 1207, 14115, 1357, 18274, 1207, 6185, 1227, 3497, 1517, 3447, 1508, 1113, 2570, 4731, 1485, 27404, 1561, 27688, 1527, 5686, 172, 3171, 29112, 190, 21270, 1123, 1285, 7630, 11786, 1548, 6707, 2433, 6885, 1125, 8547, 5052, 9598, 17081, 1374, 1125, 1282, 6913, 3467, 5956, 2757, 488, 124, 132, 124, 124, 1388, 282, 19760, 24357, 1125, 29905, 1342, 1109, 1175, 124, 132, 123, 129, 12255, 192, 9299, 1197, 9241, 1104, 14462, 1429, 1175, 124, 132, 124, 123, 25758, 1321, 26530, 1200, 2163, 1175, 124, 132, 124, 124, 21672, 12047, 1125, 10759, 9901, 24441, 1175, 124, 132, 124, 126, 1718, 20634, 1167, 16828, 5825, 4713, 3400, 1186, 2738, 488, 124, 131, 129, 132, 8156, 1188, 3991, 197, 1183, 7194, 2916, 1208, 12125, 1416, 1467, 1186, 2875, 488, 124, 132, 125, 126, 9317, 1188, 16049, 5526, 31958, 1262, 2720, 1227, 23841, 6298, 9317, 1188, 488, 128, 127, 2165, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 5526, 184, 1399, 1233, 1259, 1109, 1299, 1189, 29542, 2720, 5252, 1188, 3991, 197, 15316, 1293, 2916, 10645, 1170, 488, 126, 2738, 488, 124, 131, 129, 132, 119, 4541, 1188, 16049, 1170, 488, 128, 2875, 488, 124, 132, 125, 126, 14231, 1628, 16435, 3151, 1125, 12547, 10070, 25403, 16185, 2228, 3051, 1125, 488, 124, 131, 131, 130, 119, 4633, 1399, 1233, 1259, 1109, 2377, 172, 22571, 488, 124, 132, 123, 130, 1313, 26138, 1185, 1187, 1414, 1109, 1186, 4083, 1309, 8328, 1125, 19543, 1125, 29905, 1342, 1109, 3840, 3551, 10611, 2596, 1653, 10575, 1313, 1170, 3347, 1790, 4048, 1527, 1971, 1343, 5367, 21339, 1188, 1643, 2315, 1125, 16049, 1167, 1227, 6455, 9081, 192, 7965, 2585, 1527, 25098, 1188, 2368, 26663, 1197, 4502, 5958, 1158, 13996, 4985, 4964, 8370, 488, 124, 131, 132, 129, 119, 1527, 3080, 172, 19251, 1167, 9670, 1314, 1250, 6601, 1125, 9293, 23672, 1450, 2487, 1207, 3412, 5716, 1312, 1167, 15577, 2137, 17965, 1129, 7581, 4253, 6957, 6280, 1215, 4292, 1110, 1913, 18280, 1214, 3672, 1318, 5312, 5725, 2100, 16981, 1473, 1215, 1909, 1166, 1550, 1117, 2563, 6441, 10768, 19119, 1207, 20842, 1125, 1594, 20840, 121, 30988, 1125, 2866, 15354, 2605, 184, 1399, 1233, 1259, 1109, 10452, 172, 1313, 1561, 12614, 1189, 6601, 7788, 1298, 2038, 1257, 1548, 1352, 2214, 26392, 12258, 2976, 172, 6349, 14124, 1125, 29905, 1342, 1109, 3840, 3551, 10611, 176, 1188, 4759, 1207, 6245, 3967, 1167, 3171, 29397, 15257, 4195, 1257, 9497, 3293, 1197, 9241, 1104, 14462, 1429, 1175, 7103, 10903, 7993, 1974, 119, 6721, 488, 124, 132, 124, 123, 25758, 22973, 1115, 2163, 4698, 7060, 119, 2801, 488, 124, 132, 124, 124, 1496, 6216, 12886, 1364, 1125, 10721, 15422, 1125, 16049, 2359, 7808, 1125, 10759, 9901, 179, 25463, 3536, 7192, 1136, 1175, 224, 2527, 2068, 13227, 9436, 119, 6721, 488, 124, 132, 124, 126, 1576, 12416, 24296, 1125, 12209, 4101, 121, 1165, 1212, 1869, 119, 488, 125, 128, 129, 1113, 7231, 1165, 10211, 1829, 7808, 6115, 13503, 1158, 2492, 2335, 3293, 1119, 4985, 1212, 1125, 5613, 26875, 15545, 4319, 1227, 23841, 6298, 121, 1768, 2985, 2107, 8001, 1215, 31805, 5964, 1167, 7798, 1186, 3248, 1186, 488, 124, 132, 125, 125, 121, 1643, 7150, 1299, 16682, 2009, 1167, 7874, 4496, 1207, 1805, 1500, 1227, 9299, 1185, 1342, 2291, 1508, 12570, 2636, 1167, 1207, 14115, 1357, 18274, 1207, 6185, 1227, 3497, 1517, 3447, 1508, 1113, 2570, 4731, 1485, 27404, 1561, 27688, 1527, 5686, 172, 3171, 29112, 190, 21270, 1123, 1285, 7630, 11786, 1548, 6707, 2433, 6885, 1125, 8547, 5052, 9598, 17081, 1374, 1125, 1282, 6913, 3467, 5956, 2757, 488, 124, 132, 124, 124, 1388, 282, 19760, 24357, 1125, 29905, 1342, 1109, 1175, 124, 132, 123, 129, 12255, 192, 9299, 1197, 9241, 1104, 14462, 1429, 1175, 124, 132, 124, 123, 25758, 1321, 26530, 1200, 2163, 1175, 124, 132, 124, 124, 21672, 12047, 1125, 10759, 9901, 24441, 1175, 124, 132, 124, 126, 1718, 20634, 1167, 16828, 5825, 4713, 3400, 1186, 2738, 488, 124, 131, 129, 132, 8156, 1188, 3991, 197, 1183, 7194, 2916, 1208, 12125, 1416, 1467, 1186, 2875, 488, 124, 132, 125, 126, 9317, 1188, 16049, 5526, 31958, 1262, 2720, 1227, 23841, 6298, 9317, 1188, 488, 128, 127, 2165, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 13772, 1857, 183, 4172, 14720, 14232, 1170, 488, 124, 130, 3012, 488, 124, 132, 127, 127, 1188, 2168, 1109, 1176, 14102, 1299, 1318, 15644, 23231, 3450, 4212, 1158, 22031, 3247, 1125, 1561, 2492, 1186, 11961, 3551, 13744, 1167, 19859, 1170, 488, 126, 123, 3141, 488, 125, 123, 123, 124, 14231, 29515, 177, 3655, 3968, 1167, 28407, 1424, 153, 1303, 1188, 1198, 1145, 1301, 14570, 1175, 2853, 1109, 1348, 1496, 2399, 2511, 1123, 3523, 1909, 6804, 10326, 1610, 7328, 19910, 1125, 488, 124, 124, 2165, 1167, 16773, 1909, 6393, 1186, 11961, 3551, 13744, 121, 3450, 1110, 7508, 1909, 8787, 26487, 1188, 20024, 1167, 1110, 18280, 180, 1197, 8787, 1125, 14580, 11181, 3725, 14064, 2100, 1167, 1734, 1456, 244, 2794, 1188, 21455, 1227, 1518, 4364, 3559, 3828, 3247, 1125, 1594, 2498, 4665, 1300, 1158, 3020, 2172, 1141, 2284, 1460, 1125, 1561, 2492, 1167, 1300, 4428, 1180, 1401, 1348, 1188, 5685, 2399, 1299, 14409, 1303, 1186, 11961, 3551, 13744, 121, 19321, 1189, 4093, 9058, 2399, 1110, 4208, 8694, 1188, 21455, 1125, 6832, 20181, 1723, 8135, 7492, 29386, 1561, 2492, 1186, 12049, 7662, 1167, 1186, 3227, 4974, 4511, 1158, 1622, 1197, 4092, 488, 124, 132, 131, 123, 119, 2399, 2368, 3173, 5738, 1188, 1165, 1651, 10631, 1388, 3732, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 1175, 124, 132, 131, 131, 116, 21045, 1158, 6311, 23931, 1125, 5464, 1125, 16612, 1188, 2168, 1109, 18553, 1856, 1189, 1606, 2360, 1157, 1571, 8541, 214, 8109, 2497, 9365, 29908, 119, 1835, 2905, 5169, 1285, 1215, 1170, 1844, 1309, 1158, 4685, 2585, 2399, 1299, 14232, 3618, 1913, 3175, 26530, 8155, 2498, 1125, 16612, 1110, 1913, 10689, 1313, 3171, 19928, 1737, 3939, 3747, 6639, 1226, 21825, 3340, 1105, 133, 1410, 24509, 1845, 7940, 1161, 5206, 20368, 1119, 3551, 1164, 7474, 7997, 1130, 1857, 1175, 124, 132, 131, 127, 1496, 7273, 1988, 3032, 1198, 2066, 133, 10947, 1775, 1449, 6597, 13303, 1147, 22459, 1175, 124, 132, 131, 130, 1496, 15651, 1201, 1673, 2499, 2296, 19423, 23249, 18136, 1149, 1449, 6597, 13303, 1147, 11961, 3551, 13744, 1175, 124, 132, 131, 130, 1496, 1410, 2482, 9324, 7997, 1130, 1857, 1175, 124, 132, 131, 131, 1496, 6291, 1580, 1149, 1135, 22787, 1175, 124, 132, 131, 132, 1496, 7801, 1162, 11799, 133, 1192, 1165, 7761, 4305, 16165, 4529, 1161, 31978, 24902, 24938, 7997, 1130, 1857, 1175, 124, 132, 132, 123, 1496, 1198, 5635, 1863, 3258, 1449, 4608, 2561, 1175, 124, 132, 132, 124, 1496, 1222, 8892, 1201, 1161, 14016, 1175, 124, 132, 132, 125, 116, 1167, 13178, 1825, 1257, 7997, 12133, 14898, 1167, 5682, 2621, 4964, 2757, 488, 124, 132, 130, 123, 1175, 124, 132, 132, 132, 4023, 282, 19760, 1424, 2460, 1480, 5899, 21975, 1857, 1175, 124, 132, 131, 126, 1260, 8281, 10569, 1163, 7476, 19880, 119, 21975, 1857, 9116, 180, 3074, 2086, 488, 124, 132, 131, 128, 1260, 2499, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 119, 7427, 8024, 9116, 180, 3074, 2086, 488, 124, 132, 131, 131, 1260, 30351, 1171, 1325, 3603, 12026, 21104, 3835, 2469, 172, 21712, 488, 124, 132, 132, 124, 1260, 1293, 2601, 7816, 21975, 1857, 3835, 2469, 172, 21712, 488, 124, 132, 132, 125, 1260, 1198, 2146, 4024, 1812, 1269, 1147, 26443, 1439, 3835, 2469, 172, 8685, 1260, 10954, 2064, 21975, 1857, 1175, 125, 123, 123, 123, 1718, 20634, 1167, 16828, 5825, 28912, 25736, 1125, 13837, 1367, 1109, 18553, 3556, 8156, 1186, 3012, 488, 124, 132, 127, 127, 8156, 1188, 2168, 1109, 1348, 1175, 11363, 12125, 1416, 1467, 1186, 3141, 488, 125, 123, 123, 124, 9317, 1188, 1165, 1651, 10631, 9317, 1188, 488, 128, 129, 8793, 32001, 1424, 32000, 20036, 21036, 1857, 183, 4172, 14720, 9204, 1238, 6674, 488, 124, 130, 119, 488, 124, 132, 127, 127, 1147, 2168, 1109, 1176, 14102, 1239, 1110, 3344, 1657, 3676, 10939, 2481, 1161, 2067, 3901, 1147, 11023, 22459, 1171, 12743, 1238, 7871, 488, 126, 123, 119, 488, 125, 123, 123, 124, 9663, 180, 11114, 1194, 9017, 8733, 119, 9247, 1171, 5756, 9932, 2056, 2589, 1147, 1198, 1145, 1301, 14570, 1175, 2853, 1109, 18553, 1496, 2293, 18647, 1806, 1324, 2067, 2511, 1436, 1610, 4945, 1135, 7227, 1161, 488, 124, 124, 1171, 2491, 14010, 2067, 6393, 1147, 11023, 13955, 11431, 3676, 22539, 20649, 3875, 1147, 9485, 1171, 21605, 6592, 2011, 5879, 6461, 3100, 1171, 31978, 24902, 18938, 1355, 1135, 4017, 1161, 1518, 4364, 1204, 2547, 1161, 2067, 1870, 25596, 1238, 1135, 2172, 1141, 2284, 1146, 3020, 1161, 2067, 3901, 1171, 1135, 25311, 1401, 1406, 2293, 23359, 1147, 11023, 13955, 11431, 3676, 20160, 1355, 1135, 4017, 1161, 6832, 20181, 1226, 1110, 5529, 1161, 1907, 1663, 15726, 3062, 1110, 7954, 2488, 8024, 1171, 2939, 2241, 1459, 1135, 8322, 488, 124, 132, 131, 123, 1285, 2293, 31157, 1147, 1165, 1651, 10631, 1388, 3732, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 1175, 124, 132, 131, 131, 116, 1685, 8032, 16612, 1361, 2423, 1559, 11141, 1163, 2168, 1109, 18553, 1296, 1110, 3532, 9092, 10780, 1137, 1168, 10685, 109, 1226, 19844, 5692, 1285, 1910, 1269, 5404, 1163, 1135, 3313, 1302, 1135, 5360, 2293, 1463, 9204, 1147, 2055, 2023, 4472, 1172, 3522, 1388, 149, 3644, 2443, 1361, 1870, 1602, 2023, 7869, 1147, 5057, 19928, 1737, 3939, 3813, 6639, 1226, 21825, 3340, 1105, 133, 1410, 24509, 1845, 7940, 1161, 5206, 20368, 1119, 3551, 1164, 7474, 7997, 1130, 1857, 1175, 124, 132, 131, 127, 1496, 7273, 1988, 3032, 1198, 2066, 133, 10947, 1775, 1449, 6597, 13303, 1147, 22459, 1175, 124, 132, 131, 130, 1496, 15651, 1201, 1673, 2499, 2296, 19423, 23249, 18136, 1149, 1449, 6597, 13303, 1147, 22459, 1175, 124, 132, 131, 130, 1496, 1410, 2482, 9324, 7997, 1130, 1857, 1175, 124, 132, 131, 131, 1496, 6291, 1580, 1149, 1135, 22787, 1175, 124, 132, 131, 132, 1496, 7801, 1162, 11799, 133, 1192, 1165, 7761, 4305, 16165, 4529, 1161, 31978, 24902, 24938, 7997, 1130, 1857, 1175, 124, 132, 132, 123, 1496, 1198, 5635, 1863, 3258, 1449, 4608, 2561, 1175, 124, 132, 132, 124, 1496, 1222, 8892, 1201, 1161, 14016, 1175, 124, 132, 132, 125, 1496, 1171, 25133, 133, 9324, 1171, 20518, 7997, 1130, 1857, 11484, 488, 124, 132, 130, 123, 1175, 124, 132, 132, 132, 4023, 10488, 190, 11532, 1480, 5899, 21975, 1857, 1175, 124, 132, 131, 126, 12878, 1510, 10569, 1163, 7476, 19880, 119, 21975, 1857, 9116, 180, 3074, 2086, 488, 124, 132, 131, 128, 1260, 3732, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 119, 7427, 8024, 9116, 180, 3074, 2086, 488, 124, 132, 131, 131, 13667, 28655, 1171, 1325, 3603, 12026, 21104, 3835, 2469, 172, 21712, 488, 124, 132, 132, 124, 25614, 2601, 7816, 21975, 1857, 3835, 2469, 172, 21712, 488, 124, 132, 132, 125, 16777, 2146, 4024, 1812, 1269, 1147, 26443, 1439, 3835, 2469, 172, 8685, 8136, 1390, 2064, 21975, 1857, 1175, 125, 123, 123, 123, 1718, 1891, 9520, 1194, 26722, 14520, 1194, 2853, 1109, 18553, 2323, 15476, 2056, 2589, 1147, 6674, 488, 124, 132, 127, 127, 2056, 2589, 1147, 2168, 1109, 18553, 1763, 2295, 1147, 7871, 488, 125, 123, 123, 124, 1763, 2295, 1147, 1165, 1651, 10631, 1763, 2295, 1355, 1135, 7227, 1161, 488, 128, 129, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 21036, 1857, 183, 4172, 14720, 9204, 1238, 6674, 488, 124, 130, 119, 488, 124, 132, 127, 127, 1147, 2168, 1109, 1176, 14102, 1239, 1110, 3344, 1657, 3676, 10939, 2481, 1161, 2067, 3901, 1147, 11023, 22459, 1171, 12743, 1238, 7871, 488, 126, 123, 119, 488, 125, 123, 123, 124, 9663, 180, 11114, 1194, 9017, 8733, 119, 9247, 1171, 5756, 9932, 2056, 2589, 1147, 1198, 1145, 1301, 14570, 1175, 2853, 1109, 18553, 1496, 2293, 18647, 1806, 1324, 2067, 2511, 1436, 1610, 4945, 1135, 7227, 1161, 488, 124, 124, 1171, 2491, 14010, 2067, 6393, 1147, 11023, 13955, 11431, 3676, 22539, 20649, 3875, 1147, 9485, 1171, 21605, 6592, 2011, 5879, 6461, 3100, 1171, 31978, 24902, 18938, 1355, 1135, 4017, 1161, 1518, 4364, 1204, 2547, 1161, 2067, 1870, 25596, 1238, 1135, 2172, 1141, 2284, 1146, 3020, 1161, 2067, 3901, 1171, 1135, 25311, 1401, 1406, 2293, 23359, 1147, 11023, 13955, 11431, 3676, 20160, 1355, 1135, 4017, 1161, 6832, 20181, 1226, 1110, 5529, 1161, 1907, 1663, 15726, 3062, 1110, 7954, 2488, 8024, 1171, 2939, 2241, 1459, 1135, 8322, 488, 124, 132, 131, 123, 1285, 2293, 31157, 1147, 1165, 1651, 10631, 1388, 3732, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 1175, 124, 132, 131, 131, 116, 1685, 8032, 16612, 1361, 2423, 1559, 11141, 1163, 2168, 1109, 18553, 1296, 1110, 3532, 9092, 10780, 1137, 1168, 10685, 109, 1226, 19844, 5692, 1285, 1910, 1269, 5404, 1163, 1135, 3313, 1302, 1135, 5360, 2293, 1463, 9204, 1147, 2055, 2023, 4472, 1172, 3522, 1388, 149, 3644, 2443, 1361, 1870, 1602, 2023, 7869, 1147, 5057, 19928, 1737, 3939, 3813, 6639, 1226, 21825, 3340, 1105, 133, 1410, 24509, 1845, 7940, 1161, 5206, 20368, 1119, 3551, 1164, 7474, 7997, 1130, 1857, 1175, 124, 132, 131, 127, 1496, 7273, 1988, 3032, 1198, 2066, 133, 10947, 1775, 1449, 6597, 13303, 1147, 22459, 1175, 124, 132, 131, 130, 1496, 15651, 1201, 1673, 2499, 2296, 19423, 23249, 18136, 1149, 1449, 6597, 13303, 1147, 22459, 1175, 124, 132, 131, 130, 1496, 1410, 2482, 9324, 7997, 1130, 1857, 1175, 124, 132, 131, 131, 1496, 6291, 1580, 1149, 1135, 22787, 1175, 124, 132, 131, 132, 1496, 7801, 1162, 11799, 133, 1192, 1165, 7761, 4305, 16165, 4529, 1161, 31978, 24902, 24938, 7997, 1130, 1857, 1175, 124, 132, 132, 123, 1496, 1198, 5635, 1863, 3258, 1449, 4608, 2561, 1175, 124, 132, 132, 124, 1496, 1222, 8892, 1201, 1161, 14016, 1175, 124, 132, 132, 125, 1496, 1171, 25133, 133, 9324, 1171, 20518, 7997, 1130, 1857, 11484, 488, 124, 132, 130, 123, 1175, 124, 132, 132, 132, 4023, 10488, 190, 11532, 1480, 5899, 21975, 1857, 1175, 124, 132, 131, 126, 12878, 1510, 10569, 1163, 7476, 19880, 119, 21975, 1857, 9116, 180, 3074, 2086, 488, 124, 132, 131, 128, 1260, 3732, 1134, 1554, 1226, 1110, 1248, 1193, 5569, 1306, 1320, 119, 7427, 8024, 9116, 180, 3074, 2086, 488, 124, 132, 131, 131, 13667, 28655, 1171, 1325, 3603, 12026, 21104, 3835, 2469, 172, 21712, 488, 124, 132, 132, 124, 25614, 2601, 7816, 21975, 1857, 3835, 2469, 172, 21712, 488, 124, 132, 132, 125, 16777, 2146, 4024, 1812, 1269, 1147, 26443, 1439, 3835, 2469, 172, 8685, 8136, 1390, 2064, 21975, 1857, 1175, 125, 123, 123, 123, 1718, 1891, 9520, 1194, 26722, 14520, 1194, 2853, 1109, 18553, 2323, 15476, 2056, 2589, 1147, 6674, 488, 124, 132, 127, 127, 2056, 2589, 1147, 2168, 1109, 18553, 1763, 2295, 1147, 7871, 488, 125, 123, 123, 124, 1763, 2295, 1147, 1165, 1651, 10631, 1763, 2295, 1355, 1135, 7227, 1161, 488, 128, 129, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18805, 1270, 4038, 1227, 18096, 1193, 5834, 2356, 1643, 17451, 18096, 1193, 5834, 1155, 1548, 18096, 1193, 5834, 2941, 13597, 1318, 3391, 1435, 1300, 1816, 17451, 1388, 9748, 10329, 1194, 15784, 7540, 1424, 18096, 1193, 5834, 18525, 1285, 3837, 10019, 1313, 17902, 1125, 2482, 15671, 1188, 11793, 1197, 1270, 4038, 2356, 18096, 1193, 5834, 18525, 1285, 23361, 10019, 1313, 1158, 10660, 1125, 1282, 3466, 191, 26488, 2445, 1188, 11793, 1197, 1270, 4038, 2356, 18096, 1193, 1124, 1810, 10019, 1313, 17902, 1125, 2482, 4524, 2356, 18096, 1193, 1124, 1810, 10019, 1313, 17902, 1227, 23112, 9494, 1227, 6973, 2356, 18096, 1193, 1124, 1810, 5100, 10019, 1313, 1170, 21836, 1125, 1918, 25370, 3257, 2388, 1125, 17902, 1227, 27757, 1109, 2356, 18096, 1193, 1124, 1810, 8046, 10019, 1313, 1170, 21836, 1125, 1918, 25370, 3257, 2388, 1125, 17902, 1227, 27757, 1109, 2356, 18096, 1193, 1124, 5086, 1105, 9800, 4101, 2187, 119, 10019, 1313, 1158, 10660, 1125, 1282, 3466, 191, 5844, 14023, 5762, 1424, 1643, 2015, 174, 2240, 18096, 1193, 5834, 1299, 1318, 19403, 11739, 1125, 23684, 1125, 1643, 25291, 1388, 19818, 1424, 18096, 1193, 1124, 1810, 11426, 6843, 1215, 31763, 1146, 5826, 10775, 10277, 1186, 488, 124, 131, 128, 130, 8273, 7359, 1424, 18096, 1193, 1124, 1810, 3418, 8403, 1125, 15055, 1306, 1495, 19286, 9665, 1186, 488, 124, 132, 128, 126, 106, 18096, 1193, 1124, 1810, 3418, 17911, 8922, 1215, 1539, 1214, 18969, 1569, 17368, 1186, 488, 125, 123, 125, 125, 106, 18096, 1193, 1124, 1810, 3418, 22256, 1517, 1125, 19208, 22730, 1494, 19155, 1153, 1460, 1424, 18096, 1193, 1124, 1810, 6030, 1125, 22983, 2324, 2244, 9665, 1186, 488, 124, 132, 130, 124, 2356, 18096, 1193, 1124, 1810, 3274, 1125, 2761, 7804, 2720, 6649, 12544, 1424, 18096, 1193, 1124, 1810, 2069, 1223, 15493, 1392, 1125, 6503, 18063, 190, 2169, 1285, 1282, 160, 183, 1935, 6948, 1868, 142, 1198, 124, 1167, 1282, 160, 183, 1935, 6948, 1868, 142, 1198, 125, 1194, 5522, 192, 1125, 3385, 1424, 18096, 1193, 1124, 1810, 5047, 1125, 3385, 1357, 1110, 8217, 1158, 21964, 1125, 1606, 5047, 1125, 9911, 1524, 1186, 14345, 11438, 1170, 3621, 1733, 1197, 28366, 6712, 1186, 488, 125, 123, 123, 128, 8732, 2558, 16081, 1424, 18096, 1193, 1124, 1810, 1113, 2558, 16081, 2720, 13826, 1186, 488, 124, 132, 124, 123, 106, 18096, 1193, 1124, 1810, 1113, 2558, 16081, 14898, 13826, 1186, 488, 124, 132, 124, 125, 12498, 1187, 8005, 10469, 1424, 18096, 1193, 5834, 18525, 1285, 25898, 20237, 1366, 10328, 11038, 1167, 24605, 1780, 1366, 1125, 1282, 3466, 191, 5844, 2356, 18096, 1193, 1124, 5086, 154, 12925, 459, 146, 5930, 21160, 1387, 119, 25898, 20237, 1366, 10328, 11038, 1167, 24605, 1780, 1366, 1125, 1282, 3466, 191, 5844, 2356, 18096, 1193, 1124, 1810, 16402, 25898, 10328, 11038, 1125, 1282, 3466, 191, 5844, 1125, 488, 124, 131, 129, 130, 1188, 488, 124, 131, 131, 125, 7745, 1715, 1424, 18096, 1193, 5834, 3288, 186, 246, 1518, 1242, 1569, 7879, 119, 11183, 24142, 20936, 1188, 13894, 3441, 11149, 1119, 6664, 1300, 23684, 1125, 1643, 25291, 30039, 2072, 1424, 2093, 147, 1137, 8150, 1214, 1125, 3447, 1837, 32001, 1424, 32000, 20036, 1875, 180, 1193, 5834, 1252, 14964, 1236, 1598, 18096, 1193, 5834, 11662, 2238, 18096, 1193, 5834, 2941, 13597, 1110, 12917, 194, 1112, 1784, 1238, 1413, 16695, 1388, 3956, 1183, 4103, 1194, 2029, 2580, 6716, 1875, 180, 1193, 5834, 18525, 1285, 1110, 5100, 8452, 1147, 1135, 2730, 1161, 2482, 15671, 6289, 1135, 26758, 1236, 153, 180, 1193, 5834, 18525, 1285, 1110, 7389, 3258, 8452, 1147, 1135, 10660, 1161, 18622, 26488, 1959, 6289, 1135, 26758, 1236, 153, 180, 1193, 1124, 1810, 8452, 1147, 1135, 2730, 1161, 2482, 4524, 1236, 153, 180, 1193, 1124, 1810, 8452, 1147, 1135, 2730, 1161, 5584, 23112, 9494, 1236, 153, 180, 1193, 1124, 1810, 1110, 5100, 8452, 1147, 1918, 25370, 7580, 1147, 1135, 2730, 1161, 27757, 1109, 1236, 153, 180, 1193, 1124, 1810, 1110, 8046, 8452, 1147, 1918, 25370, 7580, 1147, 1135, 2730, 1161, 27757, 1109, 1236, 153, 180, 1193, 1124, 5086, 1105, 9800, 4101, 2187, 119, 8452, 1147, 1135, 10660, 1161, 27241, 14023, 5762, 3616, 18096, 1193, 5834, 13556, 25652, 1239, 1110, 4784, 25652, 1238, 1135, 13798, 1161, 1863, 15047, 1388, 19818, 1875, 180, 1193, 1124, 1810, 1110, 25076, 1449, 31763, 1146, 5826, 10775, 10277, 1147, 488, 124, 131, 128, 130, 14023, 6417, 1875, 180, 1193, 1124, 1810, 1151, 4950, 3418, 18840, 1449, 15055, 1306, 1495, 19286, 9578, 1147, 488, 124, 132, 128, 126, 1875, 180, 1193, 1124, 1810, 1110, 16375, 3418, 18840, 1449, 1539, 1214, 18969, 1569, 17368, 1147, 488, 125, 123, 125, 125, 1875, 180, 1193, 1124, 1810, 1110, 5947, 12910, 3418, 1449, 19208, 22730, 1494, 19155, 19486, 1875, 180, 1193, 1124, 1810, 1151, 6030, 1449, 22983, 2324, 2244, 9578, 1147, 488, 124, 132, 130, 124, 1236, 153, 180, 1193, 1124, 1810, 1110, 9197, 2761, 7804, 2957, 1388, 2700, 31729, 8838, 1875, 180, 1193, 1124, 1810, 2197, 2701, 1500, 1446, 6503, 18063, 190, 2169, 1285, 1135, 30222, 6948, 1868, 142, 1198, 124, 1171, 30222, 6948, 1868, 142, 1198, 125, 1194, 10598, 1379, 11063, 1875, 180, 1193, 1124, 1810, 1110, 7739, 3654, 1302, 6971, 1135, 21964, 1161, 9048, 1344, 1161, 1135, 9574, 109, 1147, 7927, 1762, 1135, 3621, 1733, 1197, 28366, 6712, 1147, 488, 125, 123, 123, 128, 7745, 2840, 1875, 180, 1193, 1124, 1810, 1110, 9197, 12917, 7406, 1147, 488, 124, 132, 124, 123, 1875, 180, 1193, 1124, 1810, 1110, 9324, 12917, 7406, 1147, 488, 124, 132, 124, 125, 1194, 144, 2225, 11185, 1222, 2292, 21544, 1875, 180, 1193, 5834, 18525, 1285, 11880, 1171, 25784, 1474, 14202, 11185, 10750, 1147, 27241, 1236, 153, 180, 1193, 5834, 5206, 459, 146, 5930, 21160, 1387, 119, 11880, 1171, 25784, 1474, 14202, 11185, 10750, 1147, 27241, 1236, 153, 180, 1193, 1124, 1810, 6459, 11880, 14202, 11185, 10750, 1147, 27241, 1446, 488, 124, 131, 129, 130, 1163, 488, 124, 131, 131, 125, 7745, 1715, 1875, 180, 1193, 5834, 3288, 4970, 1518, 1242, 1569, 7879, 119, 1110, 10617, 11183, 4558, 1147, 13894, 3441, 11149, 7821, 1238, 1135, 13798, 1161, 1863, 15047, 1388, 21320, 1959, 22195, 1137, 8150, 196, 1161, 3447, 2695, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1875, 180, 1193, 5834, 1252, 14964, 1236, 1598, 18096, 1193, 5834, 11662, 2238, 18096, 1193, 5834, 2941, 13597, 1110, 12917, 194, 1112, 1784, 1238, 1413, 16695, 1388, 3956, 1183, 4103, 1194, 2029, 2580, 6716, 1875, 180, 1193, 5834, 18525, 1285, 1110, 5100, 8452, 1147, 1135, 2730, 1161, 2482, 15671, 6289, 1135, 26758, 1236, 153, 180, 1193, 5834, 18525, 1285, 1110, 7389, 3258, 8452, 1147, 1135, 10660, 1161, 18622, 26488, 1959, 6289, 1135, 26758, 1236, 153, 180, 1193, 1124, 1810, 8452, 1147, 1135, 2730, 1161, 2482, 4524, 1236, 153, 180, 1193, 1124, 1810, 8452, 1147, 1135, 2730, 1161, 5584, 23112, 9494, 1236, 153, 180, 1193, 1124, 1810, 1110, 5100, 8452, 1147, 1918, 25370, 7580, 1147, 1135, 2730, 1161, 27757, 1109, 1236, 153, 180, 1193, 1124, 1810, 1110, 8046, 8452, 1147, 1918, 25370, 7580, 1147, 1135, 2730, 1161, 27757, 1109, 1236, 153, 180, 1193, 1124, 5086, 1105, 9800, 4101, 2187, 119, 8452, 1147, 1135, 10660, 1161, 27241, 14023, 5762, 3616, 18096, 1193, 5834, 13556, 25652, 1239, 1110, 4784, 25652, 1238, 1135, 13798, 1161, 1863, 15047, 1388, 19818, 1875, 180, 1193, 1124, 1810, 1110, 25076, 1449, 31763, 1146, 5826, 10775, 10277, 1147, 488, 124, 131, 128, 130, 14023, 6417, 1875, 180, 1193, 1124, 1810, 1151, 4950, 3418, 18840, 1449, 15055, 1306, 1495, 19286, 9578, 1147, 488, 124, 132, 128, 126, 1875, 180, 1193, 1124, 1810, 1110, 16375, 3418, 18840, 1449, 1539, 1214, 18969, 1569, 17368, 1147, 488, 125, 123, 125, 125, 1875, 180, 1193, 1124, 1810, 1110, 5947, 12910, 3418, 1449, 19208, 22730, 1494, 19155, 19486, 1875, 180, 1193, 1124, 1810, 1151, 6030, 1449, 22983, 2324, 2244, 9578, 1147, 488, 124, 132, 130, 124, 1236, 153, 180, 1193, 1124, 1810, 1110, 9197, 2761, 7804, 2957, 1388, 2700, 31729, 8838, 1875, 180, 1193, 1124, 1810, 2197, 2701, 1500, 1446, 6503, 18063, 190, 2169, 1285, 1135, 30222, 6948, 1868, 142, 1198, 124, 1171, 30222, 6948, 1868, 142, 1198, 125, 1194, 10598, 1379, 11063, 1875, 180, 1193, 1124, 1810, 1110, 7739, 3654, 1302, 6971, 1135, 21964, 1161, 9048, 1344, 1161, 1135, 9574, 109, 1147, 7927, 1762, 1135, 3621, 1733, 1197, 28366, 6712, 1147, 488, 125, 123, 123, 128, 7745, 2840, 1875, 180, 1193, 1124, 1810, 1110, 9197, 12917, 7406, 1147, 488, 124, 132, 124, 123, 1875, 180, 1193, 1124, 1810, 1110, 9324, 12917, 7406, 1147, 488, 124, 132, 124, 125, 1194, 144, 2225, 11185, 1222, 2292, 21544, 1875, 180, 1193, 5834, 18525, 1285, 11880, 1171, 25784, 1474, 14202, 11185, 10750, 1147, 27241, 1236, 153, 180, 1193, 5834, 5206, 459, 146, 5930, 21160, 1387, 119, 11880, 1171, 25784, 1474, 14202, 11185, 10750, 1147, 27241, 1236, 153, 180, 1193, 1124, 1810, 6459, 11880, 14202, 11185, 10750, 1147, 27241, 1446, 488, 124, 131, 129, 130, 1163, 488, 124, 131, 131, 125, 7745, 1715, 1875, 180, 1193, 5834, 3288, 4970, 1518, 1242, 1569, 7879, 119, 1110, 10617, 11183, 4558, 1147, 13894, 3441, 11149, 7821, 1238, 1135, 13798, 1161, 1863, 15047, 1388, 21320, 1959, 22195, 1137, 8150, 196, 1161, 3447, 2695, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1428, 10404, 31010, 1135, 2730, 1161, 1110, 10404, 2043, 1135, 1907, 4470, 1163, 16650, 1110, 2575, 1239, 19847, 14452, 1449, 1135, 9712, 1329, 27406, 1161, 3969, 28696, 9329, 1163, 6083, 1135, 2088, 7552, 9329, 2687, 1615, 2221, 1239, 1110, 2221, 1302, 22078, 1110, 10404, 1147, 1110, 9329, 2687, 1615, 2730, 6043, 2179, 1161, 9329, 2687, 1615, 11910, 1602, 2023, 8261, 1226, 21315, 1149, 1499, 12361, 1758, 1602, 5180, 1110, 6875, 4416, 1238, 1135, 6014, 1388, 23462, 9329, 2687, 1615, 11910, 1163, 9524, 30088, 30490, 488, 124, 132, 132, 125, 119, 2197, 12724, 152, 19550, 8226, 1151, 3477, 12996, 1149, 3068, 29943, 2687, 1615, 11910, 1163, 1125, 1213, 1499, 6381, 1201, 1446, 19270, 30088, 6043, 3821, 6215, 1324, 3068, 1413, 4403, 1239, 1302, 8190, 2701, 1500, 15427, 3120, 17312, 2095, 10010, 2701, 16898, 3187, 1110, 20326, 1110, 30088, 1707, 1324, 1110, 2533, 9594, 2935, 1583, 31351, 1280, 16308, 1449, 2536, 1125, 1213, 189, 4377, 2884, 1110, 26019, 1230, 3592, 1324, 1110, 31692, 1237, 1112, 2935, 1583, 24478, 1388, 4282, 1110, 20326, 10404, 24067, 1537, 23126, 11910, 1302, 2481, 10590, 1201, 21521, 1355, 31155, 1135, 2994, 4127, 2754, 1540, 1302, 2533, 9594, 9348, 1526, 21521, 2484, 11910, 488, 125, 1163, 488, 124, 123, 5377, 17312, 2095, 4768, 9594, 28109, 1663, 1375, 488, 128, 123, 1163, 488, 124, 123, 123, 5377, 17312, 1296, 1147, 1135, 2464, 1161, 29943, 2687, 1615, 2221, 7564, 14725, 1297, 1248, 1384, 1180, 1161, 488, 125, 1163, 488, 124, 123, 5377, 17312, 1393, 7367, 1184, 8908, 26391, 1163, 3493, 1226, 1151, 27603, 13115, 1296, 2484, 11910, 1393, 6865, 1147, 1125, 1213, 12826, 21627, 3703, 22842, 1149, 20661, 3777, 3981, 1775, 1226, 26019, 1230, 16557, 1285, 23644, 1161, 1135, 4185, 1161, 1135, 10590, 1201, 2629, 6043, 2179, 1161, 9329, 2687, 1615, 11910, 8647, 1226, 2536, 1151, 1184, 8908, 26391, 6333, 121, 3187, 14388, 23493, 1659, 1110, 9329, 2687, 1615, 2221, 1239, 1110, 2221, 8957, 4646, 1162, 1907, 1239, 9137, 1589, 1449, 1135, 1907, 10939, 3101, 1149, 9329, 121, 1192, 9329, 2687, 1615, 2221, 31887, 21449, 4835, 3101, 1104, 16437, 1147, 1110, 3564, 9329, 1978, 4986, 1540, 1135, 2179, 1161, 11624, 1104, 1239, 1375, 6865, 1147, 9712, 1149, 1806, 1135, 16379, 1459, 6986, 8937, 31770, 9712, 190, 1537, 10892, 6875, 3733, 1663, 1970, 1602, 2023, 17986, 4433, 5885, 1147, 9975, 9329, 3101, 9712, 1297, 11484, 9329, 4123, 3582, 1501, 1117, 1180, 1161, 10561, 7406, 1147, 6986, 3162, 1393, 13241, 1375, 7843, 2095, 2197, 119, 1171, 7003, 4149, 4673, 2095, 3663, 119, 1341, 1526, 1280, 26619, 1302, 1110, 9329, 2687, 1615, 2221, 1583, 1280, 1184, 8908, 26391, 1226, 2481, 9348, 1147, 1135, 1226, 1983, 176, 1364, 5271, 1388, 1891, 9520, 1194, 2700, 31729, 9329, 121, 32001, 1424, 32000, 20036, 3147, 12813, 119, 15623, 2335, 11189, 4885, 1170, 2658, 4753, 1256, 14658, 6015, 1189, 5059, 1299, 11129, 6270, 244, 1215, 1158, 12029, 1362, 1158, 13860, 1125, 10005, 28696, 6317, 1256, 11808, 1207, 2802, 1388, 4298, 2321, 9329, 2687, 1615, 1299, 1318, 2321, 1357, 2320, 1189, 11189, 1313, 1189, 8142, 9329, 2687, 1615, 18726, 4033, 1197, 8700, 9329, 2687, 1615, 1110, 1913, 22590, 1256, 1170, 5136, 1227, 12310, 17527, 1599, 119, 1357, 1299, 12749, 1189, 5923, 3283, 1300, 6014, 1388, 26630, 1125, 8700, 9329, 2687, 1615, 1256, 9524, 1373, 1170, 12310, 17527, 1599, 29515, 488, 124, 132, 132, 125, 119, 2069, 19967, 1304, 4589, 152, 2004, 9053, 1189, 3477, 5251, 8499, 25314, 1197, 8700, 29943, 8192, 1256, 9144, 192, 4744, 1207, 21627, 1392, 1304, 14176, 1227, 12310, 17527, 1599, 8155, 5923, 17098, 1313, 9689, 1125, 1816, 4403, 1299, 1309, 1207, 1223, 15493, 1392, 28011, 4646, 1129, 3713, 1408, 9765, 1309, 1207, 1223, 15493, 1392, 1115, 1129, 1297, 1653, 22905, 1189, 30088, 1232, 1136, 28313, 2335, 4367, 1125, 19441, 1288, 2934, 2166, 1450, 7208, 244, 1215, 1318, 9175, 9144, 192, 3973, 119, 3042, 10440, 7550, 12171, 4716, 1189, 4367, 5373, 1237, 1112, 1186, 8355, 1164, 1154, 1388, 2951, 21606, 1207, 1950, 2376, 2624, 2004, 3748, 3134, 1197, 8700, 1309, 1158, 7759, 1197, 7151, 2518, 16874, 1129, 1188, 1996, 5639, 1188, 1158, 2076, 1152, 3077, 5650, 1125, 9083, 1309, 1207, 10297, 4392, 1125, 9443, 20614, 27936, 2008, 8700, 1125, 488, 125, 1188, 488, 124, 123, 2768, 1408, 7581, 1309, 1207, 10297, 2306, 1125, 5130, 4048, 1723, 1382, 1125, 488, 128, 123, 1188, 488, 124, 123, 123, 2768, 1408, 7581, 1856, 1313, 1170, 2015, 1197, 19171, 1623, 2306, 1234, 1300, 1197, 8700, 29943, 8192, 121, 3190, 1501, 1117, 1180, 1125, 488, 125, 1188, 488, 124, 123, 2768, 1408, 9765, 1508, 5998, 21082, 7786, 1256, 6292, 1318, 22004, 1162, 27603, 6058, 7798, 1309, 1207, 8700, 1508, 26288, 1256, 1805, 19627, 2104, 1207, 11747, 1667, 1186, 2551, 1343, 23959, 18479, 1382, 1125, 14386, 20661, 13364, 1256, 1207, 20512, 2593, 1477, 9551, 8808, 1309, 2666, 1158, 10979, 1197, 7151, 2518, 8337, 18726, 4033, 1125, 8700, 9329, 2687, 1615, 2856, 1318, 9175, 13815, 21082, 4192, 121, 8921, 17366, 26881, 14483, 2121, 1318, 2321, 9329, 2687, 1615, 1299, 1318, 2321, 2487, 1170, 2658, 1125, 4646, 1299, 2698, 3356, 1215, 1170, 2658, 8121, 1188, 11269, 1188, 1158, 10005, 121, 3559, 2321, 9329, 2687, 1615, 1834, 6106, 1125, 4418, 17361, 1833, 12051, 1188, 1197, 1895, 2844, 1525, 1313, 1318, 3828, 3734, 1125, 10005, 119, 1125, 9083, 1309, 9689, 1125, 11624, 1104, 4249, 1382, 8305, 1256, 20359, 3914, 1170, 2701, 6637, 3767, 3285, 1197, 8091, 15223, 1158, 12029, 1197, 1223, 15493, 1392, 1110, 30986, 6139, 2357, 1723, 1527, 1251, 1110, 4795, 18891, 1996, 1125, 21853, 1313, 1282, 20300, 1125, 1158, 12029, 1197, 8139, 1188, 1158, 10005, 121, 5420, 1199, 7798, 1309, 1207, 1501, 1117, 1180, 1197, 4123, 2027, 7520, 3327, 1197, 10561, 13826, 1104, 1317, 3285, 1197, 8091, 4092, 1288, 1508, 7492, 1382, 19034, 1392, 1188, 2069, 119, 1167, 9569, 3295, 3529, 2974, 1392, 1188, 1179, 1128, 2944, 1238, 1915, 1928, 12709, 11471, 2321, 9329, 8192, 2934, 21082, 4192, 1256, 1158, 7759, 1197, 10297, 1313, 1189, 23351, 3504, 12051, 24890, 19155, 2035, 1941, 12813, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3147, 12813, 119, 15623, 2335, 11189, 4885, 1170, 2658, 4753, 1256, 14658, 6015, 1189, 5059, 1299, 11129, 6270, 244, 1215, 1158, 12029, 1362, 1158, 13860, 1125, 10005, 28696, 6317, 1256, 11808, 1207, 2802, 1388, 4298, 2321, 9329, 2687, 1615, 1299, 1318, 2321, 1357, 2320, 1189, 11189, 1313, 1189, 8142, 9329, 2687, 1615, 18726, 4033, 1197, 8700, 9329, 2687, 1615, 1110, 1913, 22590, 1256, 1170, 5136, 1227, 12310, 17527, 1599, 119, 1357, 1299, 12749, 1189, 5923, 3283, 1300, 6014, 1388, 26630, 1125, 8700, 9329, 2687, 1615, 1256, 9524, 1373, 1170, 12310, 17527, 1599, 29515, 488, 124, 132, 132, 125, 119, 2069, 19967, 1304, 4589, 152, 2004, 9053, 1189, 3477, 5251, 8499, 25314, 1197, 8700, 29943, 8192, 1256, 9144, 192, 4744, 1207, 21627, 1392, 1304, 14176, 1227, 12310, 17527, 1599, 8155, 5923, 17098, 1313, 9689, 1125, 1816, 4403, 1299, 1309, 1207, 1223, 15493, 1392, 28011, 4646, 1129, 3713, 1408, 9765, 1309, 1207, 1223, 15493, 1392, 1115, 1129, 1297, 1653, 22905, 1189, 30088, 1232, 1136, 28313, 2335, 4367, 1125, 19441, 1288, 2934, 2166, 1450, 7208, 244, 1215, 1318, 9175, 9144, 192, 3973, 119, 3042, 10440, 7550, 12171, 4716, 1189, 4367, 5373, 1237, 1112, 1186, 8355, 1164, 1154, 1388, 2951, 21606, 1207, 1950, 2376, 2624, 2004, 3748, 3134, 1197, 8700, 1309, 1158, 7759, 1197, 7151, 2518, 16874, 1129, 1188, 1996, 5639, 1188, 1158, 2076, 1152, 3077, 5650, 1125, 9083, 1309, 1207, 10297, 4392, 1125, 9443, 20614, 27936, 2008, 8700, 1125, 488, 125, 1188, 488, 124, 123, 2768, 1408, 7581, 1309, 1207, 10297, 2306, 1125, 5130, 4048, 1723, 1382, 1125, 488, 128, 123, 1188, 488, 124, 123, 123, 2768, 1408, 7581, 1856, 1313, 1170, 2015, 1197, 19171, 1623, 2306, 1234, 1300, 1197, 8700, 29943, 8192, 121, 3190, 1501, 1117, 1180, 1125, 488, 125, 1188, 488, 124, 123, 2768, 1408, 9765, 1508, 5998, 21082, 7786, 1256, 6292, 1318, 22004, 1162, 27603, 6058, 7798, 1309, 1207, 8700, 1508, 26288, 1256, 1805, 19627, 2104, 1207, 11747, 1667, 1186, 2551, 1343, 23959, 18479, 1382, 1125, 14386, 20661, 13364, 1256, 1207, 20512, 2593, 1477, 9551, 8808, 1309, 2666, 1158, 10979, 1197, 7151, 2518, 8337, 18726, 4033, 1125, 8700, 9329, 2687, 1615, 2856, 1318, 9175, 13815, 21082, 4192, 121, 8921, 17366, 26881, 14483, 2121, 1318, 2321, 9329, 2687, 1615, 1299, 1318, 2321, 2487, 1170, 2658, 1125, 4646, 1299, 2698, 3356, 1215, 1170, 2658, 8121, 1188, 11269, 1188, 1158, 10005, 121, 3559, 2321, 9329, 2687, 1615, 1834, 6106, 1125, 4418, 17361, 1833, 12051, 1188, 1197, 1895, 2844, 1525, 1313, 1318, 3828, 3734, 1125, 10005, 119, 1125, 9083, 1309, 9689, 1125, 11624, 1104, 4249, 1382, 8305, 1256, 20359, 3914, 1170, 2701, 6637, 3767, 3285, 1197, 8091, 15223, 1158, 12029, 1197, 1223, 15493, 1392, 1110, 30986, 6139, 2357, 1723, 1527, 1251, 1110, 4795, 18891, 1996, 1125, 21853, 1313, 1282, 20300, 1125, 1158, 12029, 1197, 8139, 1188, 1158, 10005, 121, 5420, 1199, 7798, 1309, 1207, 1501, 1117, 1180, 1197, 4123, 2027, 7520, 3327, 1197, 10561, 13826, 1104, 1317, 3285, 1197, 8091, 4092, 1288, 1508, 7492, 1382, 19034, 1392, 1188, 2069, 119, 1167, 9569, 3295, 3529, 2974, 1392, 1188, 1179, 1128, 2944, 1238, 1915, 1928, 12709, 11471, 2321, 9329, 8192, 2934, 21082, 4192, 1256, 1158, 7759, 1197, 10297, 1313, 1189, 23351, 3504, 12051, 24890, 19155, 2035, 1941, 12813, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 157, 9230, 191, 1125, 1867, 1178, 197, 1175, 3213, 15351, 1257, 1248, 9230, 191, 1153, 10636, 1477, 1462, 3366, 1248, 9230, 191, 1125, 10636, 1762, 1248, 9230, 191, 9905, 1200, 262, 191, 1117, 16080, 1248, 9230, 191, 1125, 1200, 1795, 4780, 1248, 9230, 191, 1125, 22501, 26504, 1496, 5252, 1571, 27316, 1627, 1125, 488, 124, 123, 130, 123, 1188, 31906, 26533, 1282, 1551, 3858, 13702, 116, 1167, 4541, 1170, 488, 129, 2875, 488, 124, 124, 126, 123, 1188, 1867, 1178, 197, 3835, 16442, 116, 1186, 14345, 11438, 1299, 1189, 5430, 1737, 1354, 15923, 1315, 5596, 7841, 2519, 4446, 1125, 7577, 1181, 2504, 1439, 1167, 27679, 1313, 1594, 22854, 1419, 1317, 1691, 1573, 1450, 1125, 22501, 26504, 2585, 1527, 7810, 1178, 1318, 3968, 22497, 7745, 1105, 5617, 1867, 3035, 6773, 1230, 1867, 180, 14367, 1134, 172, 1318, 11912, 16407, 6028, 1188, 31906, 1167, 1527, 2985, 4047, 244, 1125, 1281, 20007, 1374, 1188, 1282, 11756, 11883, 1125, 6174, 172, 1785, 6647, 1188, 13159, 178, 10914, 119, 2290, 1158, 4272, 1125, 2236, 9254, 1125, 1248, 1370, 1108, 1705, 1210, 121, 1768, 1251, 15644, 1123, 1561, 9293, 1313, 1867, 9760, 185, 1461, 1190, 1655, 172, 1867, 180, 1175, 124, 124, 124, 130, 1576, 1768, 1971, 1343, 1522, 27207, 1125, 1867, 1178, 197, 2585, 1527, 31019, 1178, 1170, 488, 129, 2875, 488, 124, 124, 126, 123, 6649, 17872, 1125, 1909, 14766, 6218, 6885, 1110, 31973, 244, 16131, 10483, 1304, 4303, 1145, 1167, 1110, 10716, 8001, 1188, 4759, 1170, 3281, 7480, 26875, 1185, 5597, 1460, 133, 1165, 1737, 6664, 6389, 16260, 1227, 6455, 1167, 1282, 4303, 19005, 119, 2442, 1309, 1313, 1158, 1233, 2139, 4101, 1752, 5708, 1214, 13037, 8030, 1125, 1158, 2315, 14785, 1167, 1170, 7758, 1125, 1282, 1551, 3858, 13702, 116, 2585, 1207, 31797, 14922, 190, 29203, 184, 1541, 1125, 3281, 3551, 8339, 244, 5186, 1762, 6513, 2065, 462, 13221, 1125, 22010, 18334, 3100, 1167, 4142, 1357, 1281, 16552, 1313, 22938, 1125, 1252, 2449, 1541, 1175, 7604, 2588, 1125, 18023, 1136, 14785, 116, 1508, 11870, 1234, 1125, 1561, 5430, 4058, 2147, 1105, 6885, 1110, 2445, 29721, 1282, 5905, 4134, 1125, 22938, 1125, 4847, 15049, 197, 189, 1122, 1490, 1121, 4790, 5639, 1125, 24979, 119, 27537, 1215, 10905, 25157, 17215, 1125, 1165, 1737, 6664, 4670, 1105, 4988, 1125, 1165, 16442, 24962, 5095, 190, 1204, 8016, 1167, 5430, 1737, 1354, 5252, 1188, 1200, 1795, 4780, 1248, 9230, 191, 1299, 9918, 1256, 1909, 28202, 1300, 1158, 2168, 1109, 1348, 1167, 1300, 1170, 3281, 7480, 190, 1327, 5210, 2576, 224, 5095, 3988, 4665, 15425, 1300, 1170, 13602, 9323, 1167, 20117, 2072, 17994, 1424, 1424, 1424, 2093, 149, 3644, 10589, 8496, 2765, 1248, 9230, 191, 1161, 1867, 1178, 5520, 5763, 1347, 15151, 4017, 1161, 11610, 21712, 488, 124, 132, 131, 126, 9994, 2624, 5825, 2093, 488, 282, 19760, 1125, 1248, 9230, 191, 1125, 1867, 1178, 197, 1300, 13047, 172, 12308, 1172, 5245, 1350, 5717, 1575, 1424, 10255, 7197, 7551, 1125, 6507, 3534, 11402, 148, 1227, 488, 132, 2584, 488, 125, 123, 123, 132, 119, 1865, 1227, 31784, 1119, 1424, 488, 2093, 141, 1538, 1740, 1993, 1109, 20120, 12189, 1737, 1354, 20120, 1175, 5943, 488, 124, 131, 126, 123, 116, 22799, 2636, 15923, 22517, 7922, 1125, 10544, 2081, 16625, 15604, 27283, 25525, 6298, 116, 1266, 3400, 1188, 31906, 6064, 1467, 1186, 488, 124, 124, 126, 123, 6064, 1467, 1188, 1165, 16442, 32001, 1424, 32000, 20036, 1750, 9230, 191, 1161, 1867, 1178, 197, 1175, 2877, 6061, 133, 1248, 9230, 191, 1153, 10636, 1477, 1462, 3366, 1248, 9230, 191, 1125, 10636, 1762, 1248, 9230, 191, 9905, 1200, 262, 191, 1117, 16080, 1248, 9230, 191, 1125, 1200, 1795, 4780, 1248, 9230, 191, 1125, 22501, 26504, 1496, 9204, 3575, 488, 124, 123, 130, 123, 1147, 31906, 9512, 4143, 15590, 8996, 3282, 116, 1171, 12743, 1238, 7327, 488, 129, 119, 488, 124, 124, 126, 123, 1147, 1867, 1178, 197, 3835, 16442, 116, 1147, 7927, 1762, 1463, 1110, 1135, 1737, 2323, 1446, 1200, 1795, 4780, 1446, 1110, 7927, 2059, 1326, 5635, 21263, 2000, 17032, 22501, 26504, 1691, 3312, 196, 1147, 1765, 22854, 1419, 2468, 1386, 6971, 8717, 1626, 6788, 10177, 1120, 1870, 1867, 3035, 6773, 1230, 1867, 180, 13670, 1110, 9518, 18799, 196, 1147, 31906, 1171, 1386, 1463, 16108, 1163, 9089, 17843, 1355, 6174, 172, 1785, 6647, 3991, 1897, 196, 1147, 13159, 178, 10914, 119, 2670, 1135, 4272, 1161, 2236, 9254, 1125, 1248, 1370, 1108, 1705, 1210, 121, 3730, 1386, 10919, 1765, 16611, 1147, 1867, 9760, 185, 1461, 1190, 1655, 172, 1867, 180, 1175, 124, 124, 124, 130, 1576, 2133, 7905, 1522, 16081, 1161, 1867, 1178, 197, 2468, 1386, 12743, 1238, 7327, 488, 129, 119, 488, 124, 124, 126, 123, 6649, 17872, 1161, 1765, 6888, 7013, 1870, 6264, 14400, 16131, 10483, 1304, 4303, 1145, 1171, 11655, 8568, 1135, 24031, 12047, 26344, 133, 1165, 1737, 6664, 23763, 7927, 1762, 30908, 1810, 1296, 2632, 1296, 1147, 1200, 2428, 1200, 1752, 5708, 1575, 4419, 3036, 1608, 2315, 1171, 23763, 8996, 3282, 116, 2468, 1135, 13782, 1233, 21258, 18755, 14922, 190, 1161, 3281, 4173, 1276, 1172, 1544, 26821, 9702, 2990, 10134, 1161, 17884, 1119, 29080, 1171, 3108, 3218, 1147, 1135, 11849, 1161, 1252, 2449, 1541, 3471, 2436, 18023, 1136, 10660, 116, 1393, 17818, 1449, 1765, 1135, 23281, 7013, 1870, 1959, 17818, 1135, 10731, 11114, 1161, 1135, 11849, 1161, 4847, 15049, 197, 189, 1122, 1490, 1121, 4790, 6289, 24979, 119, 7406, 1449, 1135, 6653, 173, 21681, 1161, 1165, 1737, 6664, 4670, 1105, 4988, 1161, 1165, 16442, 1388, 27403, 1972, 3335, 182, 1171, 1135, 1737, 2323, 9204, 1147, 1200, 1795, 4780, 1248, 9230, 191, 1239, 5388, 1226, 1765, 3344, 1972, 1238, 1135, 2168, 21026, 1171, 1135, 24031, 3621, 1187, 5210, 24867, 3988, 1110, 1185, 12569, 1163, 1135, 16983, 1388, 1891, 9520, 2938, 21320, 1959, 12323, 4807, 11114, 1194, 149, 3644, 10589, 8496, 2765, 1248, 9230, 191, 1161, 1867, 1178, 5520, 5763, 1347, 15151, 4017, 1161, 11610, 21712, 488, 124, 132, 131, 126, 6034, 6911, 14520, 1194, 10488, 190, 1449, 1248, 9230, 191, 1161, 1867, 1178, 197, 1238, 13047, 172, 12308, 1172, 5245, 1350, 5717, 1575, 1505, 1128, 1727, 11323, 1161, 6507, 1156, 1993, 11402, 148, 1238, 7262, 488, 132, 119, 488, 125, 123, 123, 132, 119, 31784, 1119, 4877, 12323, 27092, 2323, 6507, 1156, 1993, 1314, 8996, 2323, 1135, 1737, 2323, 1175, 19721, 488, 124, 131, 126, 123, 116, 1200, 3649, 22517, 14511, 7922, 1161, 10486, 16851, 1175, 124, 124, 1276, 14851, 116, 1233, 2589, 1147, 31906, 1222, 2295, 1147, 488, 124, 124, 126, 123, 1222, 2295, 1147, 1165, 16442, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1750, 9230, 191, 1161, 1867, 1178, 197, 1175, 2877, 6061, 133, 1248, 9230, 191, 1153, 10636, 1477, 1462, 3366, 1248, 9230, 191, 1125, 10636, 1762, 1248, 9230, 191, 9905, 1200, 262, 191, 1117, 16080, 1248, 9230, 191, 1125, 1200, 1795, 4780, 1248, 9230, 191, 1125, 22501, 26504, 1496, 9204, 3575, 488, 124, 123, 130, 123, 1147, 31906, 9512, 4143, 15590, 8996, 3282, 116, 1171, 12743, 1238, 7327, 488, 129, 119, 488, 124, 124, 126, 123, 1147, 1867, 1178, 197, 3835, 16442, 116, 1147, 7927, 1762, 1463, 1110, 1135, 1737, 2323, 1446, 1200, 1795, 4780, 1446, 1110, 7927, 2059, 1326, 5635, 21263, 2000, 17032, 22501, 26504, 1691, 3312, 196, 1147, 1765, 22854, 1419, 2468, 1386, 6971, 8717, 1626, 6788, 10177, 1120, 1870, 1867, 3035, 6773, 1230, 1867, 180, 13670, 1110, 9518, 18799, 196, 1147, 31906, 1171, 1386, 1463, 16108, 1163, 9089, 17843, 1355, 6174, 172, 1785, 6647, 3991, 1897, 196, 1147, 13159, 178, 10914, 119, 2670, 1135, 4272, 1161, 2236, 9254, 1125, 1248, 1370, 1108, 1705, 1210, 121, 3730, 1386, 10919, 1765, 16611, 1147, 1867, 9760, 185, 1461, 1190, 1655, 172, 1867, 180, 1175, 124, 124, 124, 130, 1576, 2133, 7905, 1522, 16081, 1161, 1867, 1178, 197, 2468, 1386, 12743, 1238, 7327, 488, 129, 119, 488, 124, 124, 126, 123, 6649, 17872, 1161, 1765, 6888, 7013, 1870, 6264, 14400, 16131, 10483, 1304, 4303, 1145, 1171, 11655, 8568, 1135, 24031, 12047, 26344, 133, 1165, 1737, 6664, 23763, 7927, 1762, 30908, 1810, 1296, 2632, 1296, 1147, 1200, 2428, 1200, 1752, 5708, 1575, 4419, 3036, 1608, 2315, 1171, 23763, 8996, 3282, 116, 2468, 1135, 13782, 1233, 21258, 18755, 14922, 190, 1161, 3281, 4173, 1276, 1172, 1544, 26821, 9702, 2990, 10134, 1161, 17884, 1119, 29080, 1171, 3108, 3218, 1147, 1135, 11849, 1161, 1252, 2449, 1541, 3471, 2436, 18023, 1136, 10660, 116, 1393, 17818, 1449, 1765, 1135, 23281, 7013, 1870, 1959, 17818, 1135, 10731, 11114, 1161, 1135, 11849, 1161, 4847, 15049, 197, 189, 1122, 1490, 1121, 4790, 6289, 24979, 119, 7406, 1449, 1135, 6653, 173, 21681, 1161, 1165, 1737, 6664, 4670, 1105, 4988, 1161, 1165, 16442, 1388, 27403, 1972, 3335, 182, 1171, 1135, 1737, 2323, 9204, 1147, 1200, 1795, 4780, 1248, 9230, 191, 1239, 5388, 1226, 1765, 3344, 1972, 1238, 1135, 2168, 21026, 1171, 1135, 24031, 3621, 1187, 5210, 24867, 3988, 1110, 1185, 12569, 1163, 1135, 16983, 1388, 1891, 9520, 2938, 21320, 1959, 12323, 4807, 11114, 1194, 149, 3644, 10589, 8496, 2765, 1248, 9230, 191, 1161, 1867, 1178, 5520, 5763, 1347, 15151, 4017, 1161, 11610, 21712, 488, 124, 132, 131, 126, 6034, 6911, 14520, 1194, 10488, 190, 1449, 1248, 9230, 191, 1161, 1867, 1178, 197, 1238, 13047, 172, 12308, 1172, 5245, 1350, 5717, 1575, 1505, 1128, 1727, 11323, 1161, 6507, 1156, 1993, 11402, 148, 1238, 7262, 488, 132, 119, 488, 125, 123, 123, 132, 119, 31784, 1119, 4877, 12323, 27092, 2323, 6507, 1156, 1993, 1314, 8996, 2323, 1135, 1737, 2323, 1175, 19721, 488, 124, 131, 126, 123, 116, 1200, 3649, 22517, 14511, 7922, 1161, 10486, 16851, 1175, 124, 124, 1276, 14851, 116, 1233, 2589, 1147, 31906, 1222, 2295, 1147, 488, 124, 124, 126, 123, 1222, 2295, 1147, 1165, 16442, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 30908, 1119, 12110, 1985, 28898, 1161, 488, 124, 132, 127, 128, 2025, 7368, 1238, 7286, 488, 125, 128, 1163, 14202, 5641, 1161, 1135, 4966, 9404, 1388, 27166, 2025, 1135, 1940, 4472, 14106, 28898, 1147, 30908, 172, 3976, 1135, 12735, 1160, 1161, 1151, 1192, 1502, 1150, 177, 4910, 1267, 5637, 5607, 2840, 1449, 8496, 1140, 6388, 1222, 1815, 177, 2331, 1147, 488, 124, 132, 126, 126, 119, 11179, 1449, 1135, 1645, 26232, 183, 2331, 5992, 3162, 4123, 1657, 1410, 28898, 5868, 2320, 6612, 1163, 1135, 14202, 11185, 3876, 1161, 488, 124, 132, 125, 132, 119, 1324, 1543, 30908, 1119, 15337, 2060, 1135, 7227, 1161, 488, 125, 124, 5292, 1135, 2626, 1163, 1873, 7017, 1410, 1266, 11745, 2897, 119, 9141, 1138, 12393, 2470, 1135, 1144, 5567, 1463, 3793, 1129, 1446, 1135, 6884, 7658, 1171, 2019, 6459, 5641, 2025, 2302, 2486, 1156, 1161, 1789, 26702, 7377, 6043, 30908, 1119, 11318, 1361, 12205, 9917, 1135, 15346, 13539, 1161, 26763, 1147, 19289, 1388, 144, 2225, 11185, 2935, 11050, 4734, 172, 1239, 1110, 21723, 3130, 1312, 11663, 2762, 1565, 1324, 1110, 1138, 1146, 1174, 5254, 1215, 14456, 26544, 1634, 7663, 28166, 1135, 4966, 9404, 6229, 1967, 9566, 1496, 1239, 26482, 1161, 488, 124, 129, 128, 5641, 21247, 1226, 488, 127, 3162, 2488, 1110, 16734, 1132, 16632, 2935, 1324, 12941, 23027, 1147, 488, 132, 4407, 1535, 3939, 11921, 1163, 1135, 4546, 1346, 1324, 488, 130, 1163, 488, 124, 126, 26763, 1466, 4407, 3582, 4558, 1238, 1789, 6380, 2392, 3842, 1393, 2491, 1994, 175, 3132, 1156, 2127, 1110, 3983, 1161, 488, 127, 126, 8533, 21544, 6043, 14202, 11185, 19102, 1239, 2142, 1355, 488, 127, 112, 1329, 1704, 17556, 1147, 1110, 17567, 4407, 22469, 1410, 6847, 1239, 4939, 3068, 1135, 1306, 1532, 3424, 1355, 1135, 17567, 3772, 1171, 2491, 1135, 4787, 147, 1414, 191, 3424, 1355, 1135, 11880, 3772, 1388, 3681, 6434, 1135, 23027, 1393, 4920, 2754, 20661, 9012, 1135, 4125, 1161, 6061, 1375, 1238, 1135, 27278, 28472, 1537, 1135, 3856, 1163, 6378, 1110, 1578, 3823, 1226, 1806, 1163, 3337, 4825, 8815, 15776, 2182, 1163, 1280, 12627, 1355, 1135, 3263, 1161, 1135, 2396, 1411, 1799, 8299, 1110, 5198, 1161, 488, 124, 127, 15442, 488, 124, 123, 15442, 1329, 488, 130, 112, 1161, 1135, 18110, 17905, 1355, 1135, 6054, 2726, 21362, 1171, 11880, 3772, 1297, 1352, 1190, 2064, 1758, 1239, 1375, 29916, 119, 1239, 2638, 1446, 1135, 7227, 1161, 488, 124, 132, 1388, 5470, 20230, 5395, 1135, 11880, 24131, 1135, 4144, 1261, 13372, 488, 132, 126, 121, 125, 130, 17041, 1410, 6108, 1267, 12205, 119, 1324, 488, 128, 121, 127, 112, 1161, 1135, 7086, 1346, 20277, 1110, 2270, 16997, 7663, 2095, 5978, 121, 488, 124, 124, 131, 1161, 1135, 488, 124, 129, 128, 21247, 2302, 192, 3088, 1393, 5137, 6459, 7468, 17843, 1104, 1329, 6459, 22307, 8394, 1201, 6043, 10283, 1161, 1135, 30908, 1119, 11318, 1361, 12205, 119, 1548, 1273, 2066, 10144, 11216, 7905, 1270, 1452, 1488, 1121, 2884, 3056, 1267, 27741, 7162, 1977, 1463, 21247, 10283, 1449, 1135, 16055, 18319, 1377, 7281, 1548, 1273, 2066, 10144, 183, 16864, 1110, 3781, 1189, 1406, 5303, 17767, 6135, 1135, 3337, 5737, 16169, 1147, 1215, 18009, 3041, 32001, 1424, 32000, 20036, 2608, 13118, 26130, 1574, 7478, 11709, 1125, 488, 124, 132, 127, 128, 1281, 1111, 7059, 1170, 488, 125, 128, 2578, 3143, 26438, 1229, 1207, 4634, 1227, 4921, 3781, 12258, 10515, 1197, 9881, 13118, 10351, 2635, 1186, 3698, 19005, 2757, 19660, 2519, 5637, 1861, 1110, 1502, 1150, 177, 4910, 2038, 1215, 8496, 1140, 6388, 1222, 1815, 177, 2331, 1186, 488, 124, 132, 126, 126, 119, 27849, 1125, 23879, 26232, 183, 2331, 7762, 2165, 1408, 7959, 121, 1808, 13118, 2004, 3601, 3702, 1158, 3650, 20237, 1366, 1125, 488, 124, 132, 125, 132, 119, 2183, 1207, 16891, 1574, 7478, 2624, 1125, 1408, 1125, 488, 125, 124, 2165, 4716, 1170, 3090, 1125, 1873, 7017, 1548, 1266, 11745, 2897, 119, 14677, 6529, 2750, 1158, 26634, 1299, 3793, 1129, 1227, 12454, 1178, 2982, 1167, 1909, 13713, 4634, 1508, 14717, 1125, 1964, 3090, 1125, 7596, 8155, 15211, 13565, 1574, 7478, 1354, 18900, 1158, 10597, 11572, 1277, 1197, 27022, 1317, 12229, 1388, 8134, 1125, 25840, 29619, 4303, 19005, 1299, 1318, 4104, 6424, 24868, 1327, 1234, 3410, 1378, 9377, 1303, 2335, 14701, 1138, 1146, 1174, 8464, 7745, 172, 7957, 16565, 119, 1170, 4921, 3781, 6229, 1967, 9566, 1496, 1299, 17350, 1125, 488, 124, 129, 128, 17634, 1256, 488, 127, 2165, 3702, 1189, 4334, 1125, 25840, 11258, 14905, 1125, 4575, 6848, 14627, 1313, 488, 132, 25898, 1285, 1357, 22504, 1571, 1200, 20229, 28770, 1188, 5169, 1125, 488, 130, 1188, 488, 124, 126, 1215, 25898, 3702, 1964, 6380, 2392, 9908, 1508, 6349, 1994, 3533, 11650, 1186, 1189, 3983, 1125, 488, 127, 126, 8533, 21544, 8155, 25555, 5279, 11185, 1299, 17093, 1188, 488, 127, 2199, 1362, 1189, 9209, 2519, 25898, 3734, 5907, 1643, 17817, 1281, 1844, 1188, 1158, 9803, 1125, 1306, 1532, 1317, 4041, 15257, 2648, 6441, 1158, 9803, 13076, 1414, 191, 1317, 4041, 26798, 9663, 1354, 1309, 1207, 19607, 6903, 6848, 1134, 4321, 1597, 5746, 1199, 1282, 26387, 1125, 15351, 11437, 22979, 8563, 1207, 29518, 3051, 2004, 1158, 7293, 5147, 187, 4583, 1318, 22978, 1256, 1189, 5146, 1125, 3203, 4825, 14095, 7037, 1188, 2008, 8176, 9033, 28545, 1186, 6425, 1125, 4575, 1256, 1996, 8989, 2909, 1790, 1129, 1189, 5198, 1125, 488, 124, 127, 25745, 488, 124, 123, 2199, 1362, 488, 130, 2199, 1197, 8945, 25472, 1317, 4041, 3734, 2726, 1197, 1200, 20229, 28770, 1167, 10328, 1356, 3850, 1548, 1873, 3212, 2081, 10117, 119, 1299, 2638, 1188, 3862, 1125, 19910, 1125, 488, 124, 132, 2165, 22341, 1234, 18036, 11050, 192, 4041, 10328, 1356, 2726, 1158, 9085, 1110, 12669, 488, 132, 126, 119, 125, 130, 24955, 1548, 15211, 2028, 12001, 1469, 488, 128, 119, 127, 2199, 1197, 8945, 119, 1110, 8922, 1189, 7679, 20167, 1160, 18825, 1188, 1440, 1357, 3031, 20708, 121, 488, 124, 124, 131, 1197, 488, 124, 129, 128, 21353, 17634, 1508, 2666, 1197, 13713, 31526, 7254, 6565, 2666, 1197, 13713, 20212, 1701, 8155, 4637, 1227, 15211, 13565, 1574, 7478, 11493, 1548, 1273, 2066, 10144, 11216, 7354, 1270, 1452, 10468, 11781, 1309, 1170, 30591, 27741, 7162, 1977, 1299, 18640, 4637, 1215, 23423, 10328, 1797, 6204, 1548, 1273, 2066, 10144, 183, 4438, 1189, 5987, 2335, 1231, 5277, 6169, 4658, 1207, 3203, 15430, 4018, 1234, 1317, 14701, 11488, 1167, 5474, 2093, 124, 132, 127, 128, 5526, 2001, 1186, 3698, 19005, 1186, 488, 124, 132, 127, 128, 1875, 14405, 488, 124, 132, 127, 128, 106, 125, 128, 2578, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2608, 13118, 26130, 1574, 7478, 11709, 1125, 488, 124, 132, 127, 128, 1281, 1111, 7059, 1170, 488, 125, 128, 2578, 3143, 26438, 1229, 1207, 4634, 1227, 4921, 3781, 12258, 10515, 1197, 9881, 13118, 10351, 2635, 1186, 3698, 19005, 2757, 19660, 2519, 5637, 1861, 1110, 1502, 1150, 177, 4910, 2038, 1215, 8496, 1140, 6388, 1222, 1815, 177, 2331, 1186, 488, 124, 132, 126, 126, 119, 27849, 1125, 23879, 26232, 183, 2331, 7762, 2165, 1408, 7959, 121, 1808, 13118, 2004, 3601, 3702, 1158, 3650, 20237, 1366, 1125, 488, 124, 132, 125, 132, 119, 2183, 1207, 16891, 1574, 7478, 2624, 1125, 1408, 1125, 488, 125, 124, 2165, 4716, 1170, 3090, 1125, 1873, 7017, 1548, 1266, 11745, 2897, 119, 14677, 6529, 2750, 1158, 26634, 1299, 3793, 1129, 1227, 12454, 1178, 2982, 1167, 1909, 13713, 4634, 1508, 14717, 1125, 1964, 3090, 1125, 7596, 8155, 15211, 13565, 1574, 7478, 1354, 18900, 1158, 10597, 11572, 1277, 1197, 27022, 1317, 12229, 1388, 8134, 1125, 25840, 29619, 4303, 19005, 1299, 1318, 4104, 6424, 24868, 1327, 1234, 3410, 1378, 9377, 1303, 2335, 14701, 1138, 1146, 1174, 8464, 7745, 172, 7957, 16565, 119, 1170, 4921, 3781, 6229, 1967, 9566, 1496, 1299, 17350, 1125, 488, 124, 129, 128, 17634, 1256, 488, 127, 2165, 3702, 1189, 4334, 1125, 25840, 11258, 14905, 1125, 4575, 6848, 14627, 1313, 488, 132, 25898, 1285, 1357, 22504, 1571, 1200, 20229, 28770, 1188, 5169, 1125, 488, 130, 1188, 488, 124, 126, 1215, 25898, 3702, 1964, 6380, 2392, 9908, 1508, 6349, 1994, 3533, 11650, 1186, 1189, 3983, 1125, 488, 127, 126, 8533, 21544, 8155, 25555, 5279, 11185, 1299, 17093, 1188, 488, 127, 2199, 1362, 1189, 9209, 2519, 25898, 3734, 5907, 1643, 17817, 1281, 1844, 1188, 1158, 9803, 1125, 1306, 1532, 1317, 4041, 15257, 2648, 6441, 1158, 9803, 13076, 1414, 191, 1317, 4041, 26798, 9663, 1354, 1309, 1207, 19607, 6903, 6848, 1134, 4321, 1597, 5746, 1199, 1282, 26387, 1125, 15351, 11437, 22979, 8563, 1207, 29518, 3051, 2004, 1158, 7293, 5147, 187, 4583, 1318, 22978, 1256, 1189, 5146, 1125, 3203, 4825, 14095, 7037, 1188, 2008, 8176, 9033, 28545, 1186, 6425, 1125, 4575, 1256, 1996, 8989, 2909, 1790, 1129, 1189, 5198, 1125, 488, 124, 127, 25745, 488, 124, 123, 2199, 1362, 488, 130, 2199, 1197, 8945, 25472, 1317, 4041, 3734, 2726, 1197, 1200, 20229, 28770, 1167, 10328, 1356, 3850, 1548, 1873, 3212, 2081, 10117, 119, 1299, 2638, 1188, 3862, 1125, 19910, 1125, 488, 124, 132, 2165, 22341, 1234, 18036, 11050, 192, 4041, 10328, 1356, 2726, 1158, 9085, 1110, 12669, 488, 132, 126, 119, 125, 130, 24955, 1548, 15211, 2028, 12001, 1469, 488, 128, 119, 127, 2199, 1197, 8945, 119, 1110, 8922, 1189, 7679, 20167, 1160, 18825, 1188, 1440, 1357, 3031, 20708, 121, 488, 124, 124, 131, 1197, 488, 124, 129, 128, 21353, 17634, 1508, 2666, 1197, 13713, 31526, 7254, 6565, 2666, 1197, 13713, 20212, 1701, 8155, 4637, 1227, 15211, 13565, 1574, 7478, 11493, 1548, 1273, 2066, 10144, 11216, 7354, 1270, 1452, 10468, 11781, 1309, 1170, 30591, 27741, 7162, 1977, 1299, 18640, 4637, 1215, 23423, 10328, 1797, 6204, 1548, 1273, 2066, 10144, 183, 4438, 1189, 5987, 2335, 1231, 5277, 6169, 4658, 1207, 3203, 15430, 4018, 1234, 1317, 14701, 11488, 1167, 5474, 2093, 124, 132, 127, 128, 5526, 2001, 1186, 3698, 19005, 1186, 488, 124, 132, 127, 128, 1875, 14405, 488, 124, 132, 127, 128, 106, 125, 128, 2578, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 2460, 1652, 9930, 1216, 1314, 1239, 1110, 9324, 31758, 3418, 18840, 1449, 8980, 24488, 173, 6692, 1171, 7546, 26408, 1168, 3740, 1285, 9578, 1147, 488, 125, 123, 124, 123, 1147, 2315, 7745, 31751, 28010, 1149, 1135, 8119, 1147, 488, 125, 123, 123, 130, 1161, 1410, 2460, 1652, 9930, 1216, 3603, 1151, 9374, 6794, 1449, 14642, 22579, 1518, 1126, 2982, 2197, 3418, 28866, 4698, 22809, 24488, 173, 6692, 1171, 7546, 26408, 1168, 2898, 116, 15993, 1163, 2440, 1413, 31758, 3068, 15130, 4687, 6210, 5521, 6043, 5379, 3737, 13244, 190, 1135, 1235, 2393, 1652, 9173, 109, 3424, 1161, 5290, 1267, 7829, 2333, 25245, 10465, 2000, 2346, 1302, 2470, 1110, 12940, 3366, 12809, 11502, 2389, 11408, 25176, 7444, 2420, 8947, 15916, 190, 2979, 2337, 2592, 17382, 1446, 1135, 12940, 5068, 2192, 13931, 1799, 2098, 5980, 2182, 1792, 3966, 1142, 2305, 14642, 22579, 1518, 27321, 9463, 1413, 3424, 1135, 1235, 2393, 1652, 31203, 2758, 3676, 21818, 1302, 2470, 1110, 18736, 119, 12315, 1393, 1264, 3513, 1156, 2127, 1110, 2730, 1161, 18736, 1171, 5180, 2141, 4851, 15907, 2123, 4454, 1163, 2591, 11843, 2000, 5912, 1163, 3094, 1163, 9472, 2182, 18898, 2030, 1926, 10051, 2523, 120, 22706, 133, 1410, 2460, 1652, 9930, 1216, 1314, 3723, 29888, 22207, 1410, 2460, 1652, 9930, 1216, 1314, 3723, 1222, 30132, 1449, 133, 8980, 24488, 173, 6692, 1171, 7546, 26408, 1168, 2898, 3723, 18136, 1665, 1449, 133, 14642, 22579, 1518, 27321, 3723, 19210, 133, 15770, 1254, 23755, 3723, 19210, 4571, 133, 26799, 28677, 3723, 29492, 4571, 133, 12349, 1167, 8846, 3723, 14005, 9513, 8980, 24488, 173, 6692, 3723, 21785, 1161, 3425, 133, 4909, 16983, 3723, 29888, 6401, 133, 6938, 3723, 24178, 133, 11681, 1323, 488, 124, 121, 131, 128, 133, 124, 1323, 20787, 3176, 14029, 1323, 488, 126, 128, 8680, 3723, 8399, 1112, 133, 13047, 1626, 3723, 1222, 3607, 133, 488, 131, 123, 4826, 3723, 26082, 3110, 133, 7871, 488, 124, 126, 119, 488, 125, 123, 123, 132, 30245, 1135, 17597, 1366, 1260, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 7357, 488, 130, 119, 488, 125, 123, 123, 132, 9512, 2315, 1718, 142, 1573, 3723, 1518, 1374, 1119, 14329, 141, 18325, 3723, 14642, 22579, 1518, 27321, 4419, 2677, 2111, 11370, 16654, 1350, 121, 2133, 4223, 3723, 4563, 1314, 21740, 1379, 3723, 7829, 2333, 25245, 1712, 3723, 19961, 3341, 1518, 1121, 1857, 3723, 10935, 2893, 1491, 3723, 3985, 24326, 16275, 1124, 3723, 5922, 5930, 13848, 1712, 3723, 5612, 8346, 1707, 3723, 25680, 11480, 3454, 3706, 3723, 9605, 15140, 21219, 3723, 1222, 194, 1580, 9941, 1254, 1120, 1108, 179, 2428, 3723, 27899, 179, 1478, 1293, 10584, 2291, 193, 3723, 2068, 1293, 1345, 3723, 27397, 13607, 1462, 20196, 3723, 1266, 1205, 1140, 7432, 2443, 3723, 3225, 2621, 186, 7273, 10468, 3723, 10290, 1266, 1757, 1105, 3723, 6678, 186, 17261, 6154, 191, 3723, 18324, 6266, 1863, 23188, 3723, 16654, 1248, 11448, 177, 14704, 3723, 13659, 17624, 1545, 1866, 1107, 3723, 15689, 1120, 1671, 1140, 1634, 1109, 1194, 26722, 4672, 2523, 120, 9324, 3418, 9578, 1147, 488, 125, 123, 124, 123, 3723, 9324, 31758, 3418, 3723, 9324, 7468, 3418, 3723, 14642, 22579, 1518, 27321, 3723, 13047, 1626, 3418, 1238, 5491, 6872, 3723, 12483, 18840, 1449, 8980, 24488, 173, 6692, 32001, 1424, 32000, 20036, 2895, 6429, 3119, 1214, 1227, 20577, 17298, 2460, 1652, 9930, 1216, 1314, 116, 1299, 1189, 3418, 21143, 14898, 8922, 1215, 8980, 24488, 173, 6692, 1167, 7546, 26408, 1168, 3740, 1285, 9665, 1186, 488, 125, 123, 124, 123, 1186, 2315, 7745, 31751, 1424, 216, 1158, 3011, 1125, 1158, 8119, 1186, 488, 125, 123, 123, 130, 1125, 1643, 6429, 3119, 1214, 1227, 20577, 119, 30347, 5617, 1215, 14642, 22579, 1518, 1126, 2982, 2069, 3014, 2518, 4698, 22809, 24488, 173, 6692, 1167, 7546, 26408, 1168, 2898, 116, 1805, 2154, 1125, 22510, 1440, 21143, 1188, 13324, 1125, 6344, 5521, 1304, 24030, 8155, 6092, 5379, 20861, 1158, 9803, 1125, 1606, 4859, 1125, 20577, 1524, 1125, 6577, 3007, 2038, 7829, 2333, 25245, 10465, 6640, 26933, 1980, 6305, 1318, 2669, 8222, 1207, 6626, 8443, 1971, 2457, 10100, 1107, 14182, 1197, 1338, 13761, 13441, 2404, 183, 7192, 3027, 2567, 1309, 1207, 6950, 2551, 2457, 3294, 1281, 17240, 1125, 1158, 9135, 121, 10976, 3342, 10721, 13495, 2457, 1408, 5124, 3041, 14642, 22579, 1518, 27321, 1110, 12688, 1816, 9803, 1158, 1606, 11494, 1227, 20577, 4821, 3450, 20983, 1980, 6305, 1189, 20577, 1207, 26377, 1281, 29683, 20049, 1234, 1313, 1189, 8142, 1125, 20577, 1167, 27296, 7059, 1856, 1197, 16466, 1186, 1395, 1554, 1188, 6504, 1207, 11843, 1357, 12880, 18331, 17978, 1207, 11499, 14023, 3352, 4403, 23470, 20638, 1257, 1643, 6429, 3119, 1214, 1227, 20577, 3723, 20638, 5379, 1257, 1410, 2460, 1652, 9930, 1216, 1314, 3723, 5294, 4521, 1257, 8980, 24488, 173, 6692, 1167, 7546, 26408, 1168, 2898, 3723, 2941, 1538, 5844, 1257, 14642, 22579, 1518, 27321, 3723, 19210, 1257, 15770, 1254, 23755, 3723, 7676, 1125, 4052, 1257, 26799, 28677, 3723, 7676, 1125, 6847, 1257, 12349, 1167, 8846, 3723, 4304, 1272, 1257, 8980, 24488, 173, 6692, 3723, 9299, 14994, 1257, 21144, 3723, 9313, 1277, 17482, 1257, 24882, 1298, 3723, 24178, 1257, 12511, 5166, 1323, 488, 124, 119, 131, 128, 133, 124, 1323, 20787, 3176, 14029, 1323, 488, 126, 128, 8680, 3723, 8399, 1112, 1257, 13047, 1369, 3723, 25694, 1257, 488, 131, 123, 4826, 3723, 7922, 1125, 8969, 1257, 488, 124, 126, 3141, 488, 125, 123, 123, 132, 13662, 1158, 17597, 1366, 1260, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 130, 2822, 488, 125, 123, 123, 132, 7216, 2315, 1718, 143, 10995, 23470, 1518, 1374, 1119, 14329, 141, 18325, 3723, 14642, 22579, 1518, 27321, 4419, 2677, 1793, 11370, 16654, 1350, 121, 2133, 4223, 3723, 4563, 1314, 21740, 1379, 3723, 7829, 2333, 25245, 1712, 3723, 19961, 3341, 1518, 1121, 1857, 3723, 10935, 2893, 1491, 3723, 3985, 24326, 16275, 1124, 3723, 5922, 5930, 13848, 1712, 3723, 5612, 8346, 1707, 3723, 25680, 11480, 3454, 3706, 3723, 9605, 15140, 21219, 3723, 1222, 194, 1580, 9941, 1254, 1120, 1108, 179, 2428, 3723, 27899, 3004, 250, 183, 1293, 10584, 1128, 25157, 3723, 2068, 1293, 1345, 3723, 27397, 13607, 1462, 20196, 3723, 1266, 1205, 1140, 7432, 2443, 3723, 3225, 2621, 186, 7273, 10468, 3723, 10290, 1266, 1757, 1105, 3723, 6678, 186, 17261, 6154, 191, 3723, 18324, 6266, 1863, 23188, 3723, 16654, 1248, 11448, 177, 14704, 3723, 13659, 17624, 1545, 1866, 1107, 3723, 15689, 1120, 1671, 1140, 1634, 1109, 7364, 5825, 2093, 120, 12483, 14898, 9665, 1186, 488, 125, 123, 124, 123, 3723, 12483, 21143, 14898, 3723, 12483, 3657, 14898, 3723, 14642, 22579, 1518, 27321, 3723, 12483, 21143, 1300, 25131, 5274, 1105, 1331, 10224, 3723, 12483, 8922, 1215, 8980, 24488, 173, 6692, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 6429, 3119, 1214, 1227, 20577, 17298, 2460, 1652, 9930, 1216, 1314, 116, 1299, 1189, 3418, 21143, 14898, 8922, 1215, 8980, 24488, 173, 6692, 1167, 7546, 26408, 1168, 3740, 1285, 9665, 1186, 488, 125, 123, 124, 123, 1186, 2315, 7745, 31751, 1424, 216, 1158, 3011, 1125, 1158, 8119, 1186, 488, 125, 123, 123, 130, 1125, 1643, 6429, 3119, 1214, 1227, 20577, 119, 30347, 5617, 1215, 14642, 22579, 1518, 1126, 2982, 2069, 3014, 2518, 4698, 22809, 24488, 173, 6692, 1167, 7546, 26408, 1168, 2898, 116, 1805, 2154, 1125, 22510, 1440, 21143, 1188, 13324, 1125, 6344, 5521, 1304, 24030, 8155, 6092, 5379, 20861, 1158, 9803, 1125, 1606, 4859, 1125, 20577, 1524, 1125, 6577, 3007, 2038, 7829, 2333, 25245, 10465, 6640, 26933, 1980, 6305, 1318, 2669, 8222, 1207, 6626, 8443, 1971, 2457, 10100, 1107, 14182, 1197, 1338, 13761, 13441, 2404, 183, 7192, 3027, 2567, 1309, 1207, 6950, 2551, 2457, 3294, 1281, 17240, 1125, 1158, 9135, 121, 10976, 3342, 10721, 13495, 2457, 1408, 5124, 3041, 14642, 22579, 1518, 27321, 1110, 12688, 1816, 9803, 1158, 1606, 11494, 1227, 20577, 4821, 3450, 20983, 1980, 6305, 1189, 20577, 1207, 26377, 1281, 29683, 20049, 1234, 1313, 1189, 8142, 1125, 20577, 1167, 27296, 7059, 1856, 1197, 16466, 1186, 1395, 1554, 1188, 6504, 1207, 11843, 1357, 12880, 18331, 17978, 1207, 11499, 14023, 3352, 4403, 23470, 20638, 1257, 1643, 6429, 3119, 1214, 1227, 20577, 3723, 20638, 5379, 1257, 1410, 2460, 1652, 9930, 1216, 1314, 3723, 5294, 4521, 1257, 8980, 24488, 173, 6692, 1167, 7546, 26408, 1168, 2898, 3723, 2941, 1538, 5844, 1257, 14642, 22579, 1518, 27321, 3723, 19210, 1257, 15770, 1254, 23755, 3723, 7676, 1125, 4052, 1257, 26799, 28677, 3723, 7676, 1125, 6847, 1257, 12349, 1167, 8846, 3723, 4304, 1272, 1257, 8980, 24488, 173, 6692, 3723, 9299, 14994, 1257, 21144, 3723, 9313, 1277, 17482, 1257, 24882, 1298, 3723, 24178, 1257, 12511, 5166, 1323, 488, 124, 119, 131, 128, 133, 124, 1323, 20787, 3176, 14029, 1323, 488, 126, 128, 8680, 3723, 8399, 1112, 1257, 13047, 1369, 3723, 25694, 1257, 488, 131, 123, 4826, 3723, 7922, 1125, 8969, 1257, 488, 124, 126, 3141, 488, 125, 123, 123, 132, 13662, 1158, 17597, 1366, 1260, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 130, 2822, 488, 125, 123, 123, 132, 7216, 2315, 1718, 143, 10995, 23470, 1518, 1374, 1119, 14329, 141, 18325, 3723, 14642, 22579, 1518, 27321, 4419, 2677, 1793, 11370, 16654, 1350, 121, 2133, 4223, 3723, 4563, 1314, 21740, 1379, 3723, 7829, 2333, 25245, 1712, 3723, 19961, 3341, 1518, 1121, 1857, 3723, 10935, 2893, 1491, 3723, 3985, 24326, 16275, 1124, 3723, 5922, 5930, 13848, 1712, 3723, 5612, 8346, 1707, 3723, 25680, 11480, 3454, 3706, 3723, 9605, 15140, 21219, 3723, 1222, 194, 1580, 9941, 1254, 1120, 1108, 179, 2428, 3723, 27899, 3004, 250, 183, 1293, 10584, 1128, 25157, 3723, 2068, 1293, 1345, 3723, 27397, 13607, 1462, 20196, 3723, 1266, 1205, 1140, 7432, 2443, 3723, 3225, 2621, 186, 7273, 10468, 3723, 10290, 1266, 1757, 1105, 3723, 6678, 186, 17261, 6154, 191, 3723, 18324, 6266, 1863, 23188, 3723, 16654, 1248, 11448, 177, 14704, 3723, 13659, 17624, 1545, 1866, 1107, 3723, 15689, 1120, 1671, 1140, 1634, 1109, 7364, 5825, 2093, 120, 12483, 14898, 9665, 1186, 488, 125, 123, 124, 123, 3723, 12483, 21143, 14898, 3723, 12483, 3657, 14898, 3723, 14642, 22579, 1518, 27321, 3723, 12483, 21143, 1300, 25131, 5274, 1105, 1331, 10224, 3723, 12483, 8922, 1215, 8980, 24488, 173, 6692, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 12376, 25173, 1575, 1239, 1151, 1110, 5838, 8189, 5119, 1662, 1230, 11219, 1238, 7871, 488, 125, 125, 119, 488, 124, 131, 127, 125, 121, 1988, 1239, 1704, 1161, 1135, 1994, 3533, 5629, 1161, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 13455, 25173, 9236, 14835, 17556, 1239, 1147, 1198, 1510, 172, 1171, 1341, 20388, 1151, 5457, 31292, 1446, 2482, 1165, 8781, 21239, 1163, 5950, 19004, 4204, 11109, 1120, 1171, 26108, 1145, 2036, 1988, 1239, 22105, 13201, 1163, 1135, 1918, 1267, 1131, 1495, 2563, 16665, 1163, 6780, 1233, 1514, 9556, 10177, 7055, 3616, 3516, 20828, 3520, 1161, 25173, 1575, 8492, 1147, 1135, 488, 124, 132, 1276, 14917, 2305, 1254, 2379, 1163, 7351, 5601, 8336, 1163, 11655, 1135, 17724, 13413, 1147, 1135, 3691, 1161, 1951, 3256, 4886, 1135, 4105, 4676, 6086, 1156, 3337, 9197, 7668, 2416, 1430, 133, 1135, 7114, 2416, 1162, 1161, 1135, 15042, 2395, 2133, 8752, 1161, 15813, 1171, 10016, 4497, 1146, 187, 1153, 1496, 1135, 13309, 1161, 10016, 1161, 29658, 1171, 1135, 20460, 8336, 1161, 1135, 15042, 2395, 22787, 1161, 15813, 1446, 15969, 2759, 1145, 121, 1410, 1918, 1267, 1131, 1495, 1201, 6971, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 13455, 25173, 4741, 5772, 1147, 488, 124, 131, 126, 128, 9663, 21681, 3699, 3551, 24811, 1202, 6897, 1132, 4618, 22951, 6780, 1233, 1514, 9556, 1163, 11109, 1120, 1171, 6780, 1539, 8789, 1163, 26108, 14570, 1147, 488, 124, 131, 126, 130, 119, 2491, 31157, 1147, 2482, 21770, 121, 6226, 1135, 1693, 1322, 3315, 1161, 6780, 1539, 8789, 1147, 1135, 7515, 1243, 1161, 7468, 18915, 1285, 1202, 6897, 1132, 4618, 19530, 1147, 26108, 1145, 1810, 1758, 20034, 1589, 1135, 13798, 1361, 14133, 121, 1459, 11109, 3366, 6780, 1233, 1514, 9556, 11219, 1110, 2970, 5601, 1626, 1135, 22243, 8509, 1277, 1163, 1135, 6477, 2910, 1135, 3259, 4687, 21562, 1193, 1180, 21185, 5630, 488, 125, 123, 123, 123, 7275, 116, 1171, 1135, 31911, 1104, 1161, 14135, 3048, 1149, 2536, 1110, 17241, 21547, 1135, 5119, 1662, 1230, 1463, 21867, 1147, 2197, 133, 1202, 6897, 1132, 4618, 1463, 22105, 13201, 1324, 1135, 21851, 1662, 1230, 1161, 2482, 21770, 2884, 6780, 1233, 1514, 9556, 6971, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 12376, 25173, 1575, 1147, 488, 124, 131, 127, 125, 1324, 1135, 13073, 13798, 190, 1388, 4301, 6605, 5057, 4039, 3194, 2025, 13979, 1446, 1413, 5119, 1662, 8820, 2502, 7327, 488, 125, 129, 119, 488, 124, 132, 129, 129, 119, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 2482, 1165, 8781, 21239, 1463, 2543, 7770, 121, 2502, 4151, 488, 125, 125, 119, 488, 124, 131, 127, 125, 119, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 1135, 1266, 9114, 2111, 31812, 1463, 2543, 7770, 7393, 10873, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 5950, 19004, 1171, 16275, 1140, 1334, 1576, 2502, 7327, 488, 124, 123, 119, 488, 124, 131, 129, 129, 119, 1135, 1192, 5838, 8189, 1202, 2462, 4306, 1161, 1252, 5275, 180, 1463, 2543, 7770, 121, 25509, 1238, 4151, 488, 124, 129, 119, 488, 124, 132, 129, 129, 119, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 11109, 1120, 1171, 26108, 14570, 1463, 2543, 7770, 1388, 5403, 8540, 24613, 29837, 10675, 1198, 1510, 1810, 1135, 5119, 1662, 1230, 1463, 2674, 5417, 1238, 6942, 488, 129, 119, 488, 124, 132, 129, 129, 1163, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 1198, 1510, 2036, 1459, 488, 124, 132, 128, 130, 119, 18096, 1277, 1463, 6648, 1163, 1341, 1171, 1341, 7905, 1135, 1192, 5838, 8189, 21851, 1662, 1230, 1161, 1198, 1510, 172, 1171, 18096, 1277, 1388, 3466, 6384, 488, 125, 123, 119, 488, 124, 132, 130, 125, 119, 1341, 1463, 19224, 1589, 1163, 1135, 6020, 1161, 1135, 6660, 1237, 1983, 1161, 1198, 1510, 172, 1388, 2474, 1161, 1192, 5838, 8189, 21851, 2289, 1171, 1233, 1943, 6774, 1194, 1891, 9520, 12498, 10020, 25173, 1575, 1505, 1495, 8189, 3590, 1147, 25173, 1575, 32001, 1424, 32000, 20036, 2359, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 13676, 1299, 1189, 5119, 8423, 1110, 5838, 1172, 1460, 1253, 1738, 244, 1170, 488, 125, 125, 3141, 488, 124, 131, 127, 125, 121, 6053, 14765, 1197, 1994, 3533, 5629, 1227, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 16341, 5907, 6218, 9209, 1299, 1188, 1198, 1510, 172, 1167, 1527, 17657, 1318, 6233, 18615, 1125, 10942, 23444, 1740, 7138, 1571, 5950, 19004, 1186, 14722, 1215, 11109, 1120, 8687, 4338, 1178, 1145, 2036, 1768, 1299, 1776, 3649, 1571, 1113, 2805, 1557, 13989, 1408, 8105, 1188, 6780, 1233, 1514, 9556, 10177, 15376, 22066, 1833, 1475, 1819, 2651, 1125, 14097, 15871, 7778, 28995, 1317, 26851, 6298, 121, 1173, 12874, 2636, 1304, 14176, 1197, 5601, 19606, 4104, 13452, 1158, 13765, 22187, 3691, 1571, 11286, 4886, 1158, 4105, 4979, 6912, 1230, 3203, 1191, 4818, 178, 1430, 17377, 1257, 1158, 1191, 4818, 19311, 1197, 15042, 7743, 3926, 21113, 1125, 18118, 1167, 1125, 7980, 4497, 1146, 187, 1153, 1496, 1158, 7676, 1125, 7980, 1125, 11276, 1167, 1207, 20460, 19606, 1227, 15042, 1568, 3926, 5892, 1125, 18118, 21615, 1722, 2759, 1145, 121, 1808, 1113, 2805, 1557, 4195, 7810, 29876, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 16341, 3701, 9601, 1186, 488, 124, 131, 126, 128, 18726, 1833, 17215, 3699, 3551, 24811, 1202, 6897, 1132, 4618, 1275, 5295, 6780, 1233, 1514, 9556, 1188, 11109, 1120, 1167, 6780, 1539, 8789, 1188, 26108, 14570, 1186, 488, 124, 131, 126, 130, 119, 2648, 2368, 3173, 5738, 1186, 10942, 14050, 1819, 2163, 121, 6982, 18025, 16386, 1128, 1125, 6780, 1539, 8789, 1300, 3080, 1125, 26427, 7254, 6565, 1202, 6897, 1132, 4618, 9616, 1188, 26108, 1145, 1810, 1440, 1357, 20359, 1450, 1158, 14133, 1125, 1282, 249, 6204, 4511, 11109, 3366, 6780, 1233, 1514, 9556, 1527, 2367, 1186, 2320, 1318, 9123, 5430, 6358, 4094, 5601, 185, 7441, 20546, 5169, 1125, 1158, 6477, 1357, 1114, 1955, 1532, 1207, 5542, 4687, 1461, 1785, 1175, 2136, 1125, 488, 125, 123, 123, 123, 7275, 1496, 1167, 1197, 13261, 10206, 3784, 1107, 1318, 6233, 2072, 19632, 3212, 1170, 5119, 8423, 1299, 1694, 1490, 244, 1186, 2069, 1257, 1202, 6897, 1132, 4618, 1281, 4715, 1776, 1374, 1170, 5119, 8423, 1125, 10942, 14050, 1819, 2163, 11781, 1309, 6780, 1233, 1514, 9556, 14882, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 13676, 1186, 488, 124, 131, 127, 125, 1469, 1207, 20403, 2377, 2972, 31070, 1962, 1227, 9058, 3171, 14197, 2004, 1913, 29565, 1234, 1125, 1440, 5119, 1662, 6093, 1170, 488, 125, 129, 2875, 488, 124, 132, 129, 129, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 10942, 23444, 1740, 7138, 1299, 1253, 1738, 3502, 1170, 488, 125, 125, 2738, 488, 124, 131, 127, 125, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 1282, 2528, 21562, 1197, 3626, 2518, 1299, 1253, 1738, 244, 7393, 1178, 1136, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 5950, 19004, 1167, 16275, 1140, 1334, 1576, 1548, 488, 124, 123, 2875, 488, 124, 131, 129, 129, 119, 1158, 7139, 4306, 1110, 5838, 1172, 1460, 1197, 1252, 1176, 9827, 1299, 1253, 1738, 3798, 16184, 1170, 488, 124, 129, 2738, 488, 124, 132, 129, 129, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 11109, 1120, 8687, 4338, 1178, 14570, 1299, 1253, 1738, 244, 7885, 176, 5958, 1408, 1309, 1170, 7019, 1197, 1198, 1510, 1810, 1170, 5119, 8423, 1299, 2674, 23726, 1170, 488, 129, 2921, 488, 124, 132, 129, 129, 1186, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 1198, 1510, 2036, 1653, 488, 124, 132, 128, 130, 119, 18096, 1277, 1251, 1299, 6421, 23177, 1167, 1527, 7354, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 1198, 1510, 172, 1167, 1125, 18096, 1277, 8155, 488, 125, 123, 2798, 488, 124, 132, 130, 125, 119, 1527, 1299, 15740, 1317, 8824, 1125, 28565, 7551, 1197, 1198, 1510, 172, 9994, 2038, 1197, 5119, 1690, 1110, 5838, 1172, 2097, 1167, 2682, 245, 1485, 15948, 2093, 154, 15871, 7778, 13676, 1505, 1495, 8189, 2923, 1186, 1350, 15871, 7778, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 13676, 1299, 1189, 5119, 8423, 1110, 5838, 1172, 1460, 1253, 1738, 244, 1170, 488, 125, 125, 3141, 488, 124, 131, 127, 125, 121, 6053, 14765, 1197, 1994, 3533, 5629, 1227, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 16341, 5907, 6218, 9209, 1299, 1188, 1198, 1510, 172, 1167, 1527, 17657, 1318, 6233, 18615, 1125, 10942, 23444, 1740, 7138, 1571, 5950, 19004, 1186, 14722, 1215, 11109, 1120, 8687, 4338, 1178, 1145, 2036, 1768, 1299, 1776, 3649, 1571, 1113, 2805, 1557, 13989, 1408, 8105, 1188, 6780, 1233, 1514, 9556, 10177, 15376, 22066, 1833, 1475, 1819, 2651, 1125, 14097, 15871, 7778, 28995, 1317, 26851, 6298, 121, 1173, 12874, 2636, 1304, 14176, 1197, 5601, 19606, 4104, 13452, 1158, 13765, 22187, 3691, 1571, 11286, 4886, 1158, 4105, 4979, 6912, 1230, 3203, 1191, 4818, 178, 1430, 17377, 1257, 1158, 1191, 4818, 19311, 1197, 15042, 7743, 3926, 21113, 1125, 18118, 1167, 1125, 7980, 4497, 1146, 187, 1153, 1496, 1158, 7676, 1125, 7980, 1125, 11276, 1167, 1207, 20460, 19606, 1227, 15042, 1568, 3926, 5892, 1125, 18118, 21615, 1722, 2759, 1145, 121, 1808, 1113, 2805, 1557, 4195, 7810, 29876, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 16341, 3701, 9601, 1186, 488, 124, 131, 126, 128, 18726, 1833, 17215, 3699, 3551, 24811, 1202, 6897, 1132, 4618, 1275, 5295, 6780, 1233, 1514, 9556, 1188, 11109, 1120, 1167, 6780, 1539, 8789, 1188, 26108, 14570, 1186, 488, 124, 131, 126, 130, 119, 2648, 2368, 3173, 5738, 1186, 10942, 14050, 1819, 2163, 121, 6982, 18025, 16386, 1128, 1125, 6780, 1539, 8789, 1300, 3080, 1125, 26427, 7254, 6565, 1202, 6897, 1132, 4618, 9616, 1188, 26108, 1145, 1810, 1440, 1357, 20359, 1450, 1158, 14133, 1125, 1282, 249, 6204, 4511, 11109, 3366, 6780, 1233, 1514, 9556, 1527, 2367, 1186, 2320, 1318, 9123, 5430, 6358, 4094, 5601, 185, 7441, 20546, 5169, 1125, 1158, 6477, 1357, 1114, 1955, 1532, 1207, 5542, 4687, 1461, 1785, 1175, 2136, 1125, 488, 125, 123, 123, 123, 7275, 1496, 1167, 1197, 13261, 10206, 3784, 1107, 1318, 6233, 2072, 19632, 3212, 1170, 5119, 8423, 1299, 1694, 1490, 244, 1186, 2069, 1257, 1202, 6897, 1132, 4618, 1281, 4715, 1776, 1374, 1170, 5119, 8423, 1125, 10942, 14050, 1819, 2163, 11781, 1309, 6780, 1233, 1514, 9556, 14882, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 14609, 15871, 7778, 13676, 1186, 488, 124, 131, 127, 125, 1469, 1207, 20403, 2377, 2972, 31070, 1962, 1227, 9058, 3171, 14197, 2004, 1913, 29565, 1234, 1125, 1440, 5119, 1662, 6093, 1170, 488, 125, 129, 2875, 488, 124, 132, 129, 129, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 10942, 23444, 1740, 7138, 1299, 1253, 1738, 3502, 1170, 488, 125, 125, 2738, 488, 124, 131, 127, 125, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 1282, 2528, 21562, 1197, 3626, 2518, 1299, 1253, 1738, 244, 7393, 1178, 1136, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 5950, 19004, 1167, 16275, 1140, 1334, 1576, 1548, 488, 124, 123, 2875, 488, 124, 131, 129, 129, 119, 1158, 7139, 4306, 1110, 5838, 1172, 1460, 1197, 1252, 1176, 9827, 1299, 1253, 1738, 3798, 16184, 1170, 488, 124, 129, 2738, 488, 124, 132, 129, 129, 119, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1125, 11109, 1120, 8687, 4338, 1178, 14570, 1299, 1253, 1738, 244, 7885, 176, 5958, 1408, 1309, 1170, 7019, 1197, 1198, 1510, 1810, 1170, 5119, 8423, 1299, 2674, 23726, 1170, 488, 129, 2921, 488, 124, 132, 129, 129, 1186, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 1198, 1510, 2036, 1653, 488, 124, 132, 128, 130, 119, 18096, 1277, 1251, 1299, 6421, 23177, 1167, 1527, 7354, 1170, 5119, 8423, 1110, 5838, 1172, 1460, 1197, 1198, 1510, 172, 1167, 1125, 18096, 1277, 8155, 488, 125, 123, 2798, 488, 124, 132, 130, 125, 119, 1527, 1299, 15740, 1317, 8824, 1125, 28565, 7551, 1197, 1198, 1510, 172, 9994, 2038, 1197, 5119, 1690, 1110, 5838, 1172, 2097, 1167, 2682, 245, 1485, 15948, 2093, 154, 15871, 7778, 13676, 1505, 1495, 8189, 2923, 1186, 1350, 15871, 7778, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 13661, 1120, 12439, 1125, 1173, 24822, 4419, 1303, 1188, 1325, 22843, 30280, 21254, 1188, 1325, 22843, 30280, 1703, 29372, 1188, 2133, 31432, 6647, 116, 1299, 1318, 5038, 15493, 1561, 195, 1767, 1125, 1158, 11495, 1125, 1325, 1706, 1109, 1215, 1158, 10544, 1167, 1215, 1594, 11546, 1218, 1883, 1206, 5796, 30801, 1125, 1173, 6290, 1608, 14231, 1424, 224, 18303, 12439, 1299, 1158, 5921, 1125, 12547, 1927, 1836, 5348, 11275, 1209, 1107, 1125, 1173, 24822, 1175, 124, 128, 125, 129, 120, 124, 128, 131, 129, 116, 1125, 1594, 11546, 1469, 12674, 1125, 5941, 26613, 1175, 124, 128, 126, 125, 120, 124, 128, 131, 128, 1496, 5921, 1227, 10973, 8702, 7983, 1125, 5941, 26613, 30079, 16722, 1170, 488, 125, 129, 2798, 488, 124, 128, 130, 123, 119, 1188, 2133, 31432, 23716, 2391, 1125, 1158, 1222, 1795, 1148, 1125, 3621, 1229, 1170, 23366, 5796, 8351, 3699, 3926, 1141, 27728, 1227, 5796, 8351, 1128, 1175, 124, 128, 127, 126, 120, 124, 128, 132, 125, 1576, 5348, 11275, 1299, 8693, 244, 1188, 1158, 3657, 1125, 3699, 3926, 1141, 1195, 7763, 1357, 1299, 1189, 2382, 12744, 2038, 1167, 18026, 8985, 1125, 1158, 12350, 7155, 1440, 6371, 3301, 5348, 11275, 4071, 1450, 1675, 1944, 3699, 8200, 27728, 1227, 5719, 6792, 179, 1550, 4414, 9997, 1527, 6143, 1118, 2596, 1808, 15335, 2097, 10816, 190, 4400, 7085, 1170, 11546, 1856, 1318, 2074, 4514, 2714, 1207, 1306, 4938, 10914, 1167, 1318, 22720, 1125, 6459, 1318, 9869, 1951, 3256, 2009, 8155, 2382, 12744, 2038, 3699, 8200, 27728, 3081, 9312, 1125, 2167, 3389, 1282, 15511, 26817, 1125, 1561, 4875, 6792, 179, 1550, 2794, 121, 1653, 488, 124, 128, 130, 131, 119, 2399, 1299, 9771, 1303, 1167, 14844, 1303, 10206, 1422, 1450, 1167, 2335, 2784, 1190, 14226, 1188, 1693, 1322, 4975, 1594, 1557, 3266, 16343, 1594, 1360, 6909, 1170, 19041, 29518, 1836, 8702, 1209, 1107, 1125, 1173, 2012, 1965, 1299, 14826, 16598, 1125, 1561, 4236, 187, 4053, 121, 3450, 1281, 8551, 2052, 1317, 2382, 12744, 2923, 1186, 2195, 1716, 4355, 1167, 19859, 1996, 1125, 2658, 2750, 13699, 1662, 1272, 1167, 8466, 16114, 1424, 2524, 1594, 11546, 1469, 3699, 3926, 1141, 1195, 7763, 2605, 18303, 12439, 1110, 1207, 4661, 10088, 2938, 8658, 4541, 3243, 244, 1175, 124, 128, 130, 126, 1260, 7980, 1175, 124, 128, 130, 129, 120, 124, 128, 130, 130, 1260, 2605, 18303, 12439, 1175, 124, 128, 130, 131, 120, 124, 128, 131, 123, 1260, 17486, 1752, 1303, 1125, 5796, 8351, 1128, 3441, 6290, 1608, 1175, 124, 128, 131, 124, 120, 124, 129, 126, 124, 1496, 6371, 1303, 1186, 488, 124, 128, 132, 128, 119, 1469, 1170, 19041, 3699, 5264, 176, 24079, 1209, 1107, 12412, 179, 8272, 4853, 1224, 1334, 1175, 124, 128, 132, 131, 120, 124, 129, 124, 131, 1260, 5921, 4541, 3243, 1303, 1175, 124, 128, 131, 127, 1260, 5921, 4541, 3243, 1303, 1175, 124, 128, 131, 128, 1718, 10853, 2093, 150, 16264, 9905, 1997, 1620, 133, 6653, 1289, 16376, 6823, 1114, 239, 1210, 190, 29782, 1293, 30850, 1507, 3212, 5701, 488, 125, 124, 128, 2056, 4604, 29782, 11818, 2240, 184, 1214, 4140, 1325, 1470, 1462, 1210, 2564, 1665, 133, 11374, 2866, 197, 1665, 28366, 1112, 4140, 1202, 177, 1132, 197, 2318, 239, 1773, 3985, 1120, 12439, 119, 14710, 1125, 1158, 7983, 2324, 3145, 488, 124, 131, 130, 126, 119, 488, 124, 131, 130, 132, 7364, 5825, 29496, 1186, 2822, 488, 124, 128, 128, 125, 9317, 1186, 3012, 488, 124, 128, 132, 123, 27674, 1125, 1325, 1706, 1109, 9317, 1188, 488, 126, 130, 2165, 3198, 1883, 1206, 8156, 1313, 5753, 29430, 1128, 1125, 1173, 24822, 9317, 1188, 2133, 31432, 6647, 9317, 1313, 1170, 21836, 6385, 8351, 1227, 9810, 1109, 6444, 1109, 15493, 1125, 1173, 24822, 1227, 11402, 25525, 6298, 114, 32001, 1424, 32000, 20036, 2586, 18303, 12439, 1161, 1173, 2012, 3994, 6256, 2589, 1355, 1325, 22843, 30280, 11174, 1126, 1147, 1325, 22843, 30280, 1323, 12743, 1147, 2133, 31432, 6647, 116, 1463, 1110, 1173, 2012, 1105, 5038, 1625, 1161, 1135, 6842, 1161, 1325, 1706, 1109, 1449, 10486, 1171, 1449, 2067, 21493, 21041, 1224, 5796, 30801, 1161, 1173, 6290, 1608, 9663, 180, 11114, 2586, 18303, 12439, 1463, 1135, 15538, 1161, 27384, 1121, 6678, 1153, 1209, 1161, 1173, 2012, 3994, 1175, 124, 128, 125, 129, 120, 124, 128, 131, 129, 116, 1446, 1765, 21493, 1163, 12674, 1161, 9368, 5955, 1175, 124, 128, 126, 125, 120, 124, 128, 131, 128, 1496, 15538, 1161, 7472, 8702, 7983, 1161, 9368, 5955, 7745, 1122, 17080, 1238, 6384, 488, 125, 129, 119, 488, 124, 128, 130, 123, 119, 1147, 2133, 31432, 23716, 3545, 1135, 6660, 1130, 1161, 14762, 196, 1659, 1135, 5796, 30801, 21041, 4172, 8200, 27728, 1161, 5796, 30801, 1175, 124, 128, 127, 126, 120, 124, 128, 132, 125, 1576, 6678, 1153, 1463, 26469, 1163, 4172, 8200, 27728, 1361, 12809, 1285, 2000, 1463, 1110, 5863, 12744, 1267, 1171, 18026, 6787, 1161, 12350, 4956, 1413, 15126, 3301, 6678, 1153, 9865, 1156, 1163, 6435, 4172, 8200, 27728, 1163, 1135, 20890, 3331, 1119, 5054, 121, 6067, 1386, 10310, 121, 7927, 12308, 1172, 3674, 8261, 1135, 21493, 1110, 2074, 4514, 4064, 1135, 1306, 4938, 12579, 190, 1171, 1151, 9181, 1163, 1830, 1110, 1951, 3256, 1199, 9921, 8273, 1132, 12744, 1267, 4172, 8200, 27728, 10769, 1163, 3756, 1765, 20890, 3331, 1119, 14032, 1361, 14511, 16035, 121, 1459, 488, 124, 128, 130, 131, 119, 2293, 1463, 24034, 1171, 25766, 1161, 1464, 1203, 16023, 1171, 1110, 11117, 1163, 1693, 16386, 1230, 2067, 15849, 121, 11297, 2067, 3343, 21453, 27384, 1121, 8702, 1209, 1161, 1173, 2012, 1105, 1762, 1463, 26369, 1156, 1161, 2067, 24423, 2771, 3676, 25137, 1163, 5863, 12744, 3590, 1147, 2195, 1716, 6357, 1171, 12743, 4912, 1269, 2470, 13699, 30221, 1272, 1171, 3190, 174, 1274, 1701, 2105, 3511, 2067, 21493, 1163, 4172, 8200, 1195, 7763, 3985, 1120, 12439, 2055, 1135, 3602, 4851, 26992, 22361, 25272, 1594, 1175, 124, 128, 130, 126, 11370, 7980, 1175, 124, 128, 130, 129, 120, 124, 128, 130, 130, 11370, 3985, 1120, 12439, 1175, 124, 128, 130, 131, 120, 124, 128, 131, 123, 11370, 17486, 19659, 172, 1161, 5796, 8351, 1230, 3441, 6290, 1608, 1175, 124, 128, 131, 124, 120, 124, 129, 126, 124, 1496, 17080, 1147, 488, 124, 128, 132, 128, 1163, 17284, 4172, 9605, 1209, 1161, 1645, 179, 8272, 4853, 1224, 1334, 1175, 124, 128, 132, 131, 120, 124, 129, 124, 131, 11370, 22361, 25272, 15538, 1175, 124, 128, 131, 127, 11370, 22361, 25272, 15538, 1175, 124, 128, 131, 128, 1718, 1891, 9520, 6975, 16264, 9905, 1997, 1620, 133, 6653, 1289, 16376, 6823, 1114, 239, 1210, 190, 29782, 1293, 30850, 1507, 3212, 5701, 488, 125, 124, 128, 2056, 1342, 11519, 15567, 1161, 10850, 133, 1410, 2977, 3162, 1161, 21041, 1224, 3985, 1120, 12439, 119, 13957, 1972, 1161, 1135, 7983, 2324, 3145, 488, 124, 131, 130, 126, 119, 488, 124, 131, 130, 132, 1194, 26722, 9354, 2523, 120, 1233, 2589, 1147, 7357, 488, 124, 128, 128, 125, 3723, 1222, 2295, 1147, 6674, 488, 124, 128, 132, 123, 3723, 6842, 1161, 1325, 1706, 1109, 3723, 1222, 2295, 1355, 488, 126, 130, 3162, 4006, 3723, 21041, 1224, 3723, 1233, 2589, 1147, 1135, 27384, 1121, 1230, 1161, 1173, 2012, 3994, 3723, 1222, 2295, 1147, 2133, 31432, 6647, 3723, 1222, 2295, 1147, 1135, 5796, 8351, 1230, 1161, 1135, 9810, 1314, 3723, 16176, 1625, 1161, 1173, 2012, 3994, 1161, 1135, 488, 124, 129, 1276, 14851, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2586, 18303, 12439, 1161, 1173, 2012, 3994, 6256, 2589, 1355, 1325, 22843, 30280, 11174, 1126, 1147, 1325, 22843, 30280, 1323, 12743, 1147, 2133, 31432, 6647, 116, 1463, 1110, 1173, 2012, 1105, 5038, 1625, 1161, 1135, 6842, 1161, 1325, 1706, 1109, 1449, 10486, 1171, 1449, 2067, 21493, 21041, 1224, 5796, 30801, 1161, 1173, 6290, 1608, 9663, 180, 11114, 2586, 18303, 12439, 1463, 1135, 15538, 1161, 27384, 1121, 6678, 1153, 1209, 1161, 1173, 2012, 3994, 1175, 124, 128, 125, 129, 120, 124, 128, 131, 129, 116, 1446, 1765, 21493, 1163, 12674, 1161, 9368, 5955, 1175, 124, 128, 126, 125, 120, 124, 128, 131, 128, 1496, 15538, 1161, 7472, 8702, 7983, 1161, 9368, 5955, 7745, 1122, 17080, 1238, 6384, 488, 125, 129, 119, 488, 124, 128, 130, 123, 119, 1147, 2133, 31432, 23716, 3545, 1135, 6660, 1130, 1161, 14762, 196, 1659, 1135, 5796, 30801, 21041, 4172, 8200, 27728, 1161, 5796, 30801, 1175, 124, 128, 127, 126, 120, 124, 128, 132, 125, 1576, 6678, 1153, 1463, 26469, 1163, 4172, 8200, 27728, 1361, 12809, 1285, 2000, 1463, 1110, 5863, 12744, 1267, 1171, 18026, 6787, 1161, 12350, 4956, 1413, 15126, 3301, 6678, 1153, 9865, 1156, 1163, 6435, 4172, 8200, 27728, 1163, 1135, 20890, 3331, 1119, 5054, 121, 6067, 1386, 10310, 121, 7927, 12308, 1172, 3674, 8261, 1135, 21493, 1110, 2074, 4514, 4064, 1135, 1306, 4938, 12579, 190, 1171, 1151, 9181, 1163, 1830, 1110, 1951, 3256, 1199, 9921, 8273, 1132, 12744, 1267, 4172, 8200, 27728, 10769, 1163, 3756, 1765, 20890, 3331, 1119, 14032, 1361, 14511, 16035, 121, 1459, 488, 124, 128, 130, 131, 119, 2293, 1463, 24034, 1171, 25766, 1161, 1464, 1203, 16023, 1171, 1110, 11117, 1163, 1693, 16386, 1230, 2067, 15849, 121, 11297, 2067, 3343, 21453, 27384, 1121, 8702, 1209, 1161, 1173, 2012, 1105, 1762, 1463, 26369, 1156, 1161, 2067, 24423, 2771, 3676, 25137, 1163, 5863, 12744, 3590, 1147, 2195, 1716, 6357, 1171, 12743, 4912, 1269, 2470, 13699, 30221, 1272, 1171, 3190, 174, 1274, 1701, 2105, 3511, 2067, 21493, 1163, 4172, 8200, 1195, 7763, 3985, 1120, 12439, 2055, 1135, 3602, 4851, 26992, 22361, 25272, 1594, 1175, 124, 128, 130, 126, 11370, 7980, 1175, 124, 128, 130, 129, 120, 124, 128, 130, 130, 11370, 3985, 1120, 12439, 1175, 124, 128, 130, 131, 120, 124, 128, 131, 123, 11370, 17486, 19659, 172, 1161, 5796, 8351, 1230, 3441, 6290, 1608, 1175, 124, 128, 131, 124, 120, 124, 129, 126, 124, 1496, 17080, 1147, 488, 124, 128, 132, 128, 1163, 17284, 4172, 9605, 1209, 1161, 1645, 179, 8272, 4853, 1224, 1334, 1175, 124, 128, 132, 131, 120, 124, 129, 124, 131, 11370, 22361, 25272, 15538, 1175, 124, 128, 131, 127, 11370, 22361, 25272, 15538, 1175, 124, 128, 131, 128, 1718, 1891, 9520, 6975, 16264, 9905, 1997, 1620, 133, 6653, 1289, 16376, 6823, 1114, 239, 1210, 190, 29782, 1293, 30850, 1507, 3212, 5701, 488, 125, 124, 128, 2056, 1342, 11519, 15567, 1161, 10850, 133, 1410, 2977, 3162, 1161, 21041, 1224, 3985, 1120, 12439, 119, 13957, 1972, 1161, 1135, 7983, 2324, 3145, 488, 124, 131, 130, 126, 119, 488, 124, 131, 130, 132, 1194, 26722, 9354, 2523, 120, 1233, 2589, 1147, 7357, 488, 124, 128, 128, 125, 3723, 1222, 2295, 1147, 6674, 488, 124, 128, 132, 123, 3723, 6842, 1161, 1325, 1706, 1109, 3723, 1222, 2295, 1355, 488, 126, 130, 3162, 4006, 3723, 21041, 1224, 3723, 1233, 2589, 1147, 1135, 27384, 1121, 1230, 1161, 1173, 2012, 3994, 3723, 1222, 2295, 1147, 2133, 31432, 6647, 3723, 1222, 2295, 1147, 1135, 5796, 8351, 1230, 1161, 1135, 9810, 1314, 3723, 16176, 1625, 1161, 1173, 2012, 3994, 1161, 1135, 488, 124, 129, 1276, 14851, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 22939, 3177, 2375, 1299, 1318, 15038, 1227, 20730, 31767, 1517, 30983, 179, 1145, 7526, 3450, 1299, 8969, 1317, 21144, 1170, 488, 124, 125, 2875, 488, 125, 123, 124, 123, 1167, 1299, 1170, 3151, 3935, 1125, 1594, 16934, 6030, 5490, 2181, 1643, 15038, 1299, 1318, 14132, 1125, 1209, 13440, 1163, 21576, 1988, 1227, 3274, 1863, 1140, 488, 125, 1863, 3850, 14427, 1110, 1913, 1936, 1303, 1188, 1158, 488, 127, 176, 1227, 7612, 9103, 1328, 1539, 1516, 1167, 1188, 1158, 488, 125, 176, 1227, 7612, 1222, 1336, 1539, 1516, 9994, 2038, 1197, 23664, 1424, 14427, 6700, 1217, 2504, 14005, 116, 1703, 488, 126, 133, 123, 126, 106, 14427, 6047, 29639, 19416, 14005, 116, 1703, 488, 126, 133, 124, 127, 106, 14427, 1175, 3681, 184, 1580, 196, 14005, 116, 1703, 488, 126, 133, 126, 132, 106, 14427, 7890, 1649, 4737, 27040, 116, 1703, 488, 128, 133, 125, 125, 106, 14427, 6047, 29639, 19416, 7409, 1757, 116, 1703, 488, 129, 133, 123, 128, 106, 14427, 1175, 3681, 184, 1580, 196, 7409, 1757, 116, 1703, 488, 129, 133, 128, 132, 106, 14427, 4698, 2565, 1233, 1807, 2174, 7409, 1757, 116, 1703, 488, 128, 133, 128, 123, 106, 14427, 4497, 1242, 14989, 7409, 1757, 116, 1703, 488, 127, 133, 127, 126, 1194, 2272, 8934, 1167, 4052, 12928, 3177, 2375, 1110, 1913, 5617, 1215, 1197, 13588, 10570, 1517, 1165, 23692, 17604, 10036, 21659, 1785, 1108, 1167, 8496, 1140, 21367, 1167, 2513, 1215, 1165, 23692, 3179, 1167, 21659, 1785, 4414, 1768, 5332, 1158, 8686, 17697, 1125, 1863, 1140, 488, 125, 12609, 1209, 13440, 1163, 21576, 1988, 5617, 1215, 1254, 8543, 7219, 1292, 186, 1167, 8713, 2722, 2215, 1214, 3317, 488, 124, 125, 2875, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 16752, 24697, 1309, 14427, 5760, 1170, 3151, 3935, 1227, 488, 127, 176, 1125, 30983, 179, 1145, 7526, 1768, 1110, 1913, 31125, 1300, 18648, 13234, 488, 124, 1469, 16423, 1204, 6693, 1816, 7005, 12284, 3160, 1322, 179, 1145, 1213, 1110, 2690, 1309, 1158, 15038, 133, 1606, 3031, 1440, 11154, 1915, 1982, 1170, 11614, 5557, 1469, 1197, 31517, 1138, 17433, 11924, 119, 3775, 1197, 13257, 1167, 4071, 3914, 1982, 3419, 5123, 4885, 1170, 13023, 1281, 20520, 1524, 8273, 6448, 6327, 10791, 20095, 1110, 1913, 23389, 1603, 2039, 3649, 1215, 1204, 7304, 3948, 1518, 4816, 182, 1180, 20101, 8922, 1215, 7132, 6767, 2548, 1167, 3418, 244, 1215, 8353, 1401, 6660, 1130, 7478, 2443, 121, 1643, 6327, 1281, 2627, 2038, 1125, 13400, 1304, 8087, 29313, 1761, 1835, 30983, 179, 1145, 1213, 1167, 1192, 3340, 1124, 1200, 4654, 488, 3767, 3601, 1125, 3547, 1527, 10825, 30983, 179, 1145, 1213, 1313, 1318, 15398, 1125, 7005, 20669, 244, 1125, 16037, 1392, 7795, 174, 1533, 1297, 1768, 10825, 2445, 488, 1309, 30983, 179, 1145, 1213, 5136, 1197, 13257, 1469, 1189, 11189, 1166, 1737, 2039, 3725, 1357, 1299, 1318, 6891, 2638, 1188, 1282, 6724, 5097, 1125, 30983, 179, 1145, 1213, 1256, 1207, 6578, 1300, 11189, 119, 1194, 2809, 2139, 1525, 12498, 1107, 4700, 1424, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 1709, 108, 9299, 106, 108, 10693, 4700, 106, 108, 1352, 3515, 11933, 14093, 15645, 10942, 14050, 1819, 2163, 6700, 28678, 165, 1260, 199, 3225, 3422, 9323, 1167, 5474, 5532, 1354, 16718, 1424, 488, 7649, 9229, 1194, 2330, 30181, 11925, 27433, 1215, 30983, 179, 1145, 1213, 4196, 30181, 1125, 18294, 1628, 11279, 10709, 9665, 1186, 488, 125, 123, 124, 123, 114, 32001, 1424, 32000, 20036, 1628, 3177, 2375, 1239, 1110, 6537, 1449, 21798, 1943, 20730, 30983, 179, 1145, 7526, 1988, 1463, 9578, 1147, 1135, 7612, 1238, 7327, 488, 124, 125, 119, 488, 125, 123, 124, 123, 1171, 1239, 1135, 1940, 3935, 1446, 1765, 12223, 13553, 6030, 121, 1410, 6537, 1239, 1110, 5089, 1161, 1863, 1140, 488, 125, 12609, 1361, 1209, 13440, 1163, 21576, 1988, 121, 14427, 13372, 2149, 488, 127, 1238, 1135, 7612, 9103, 1328, 1539, 1516, 1171, 2149, 488, 125, 1238, 1135, 7612, 1222, 1336, 1539, 1516, 1388, 16053, 27989, 1628, 3177, 2375, 6700, 1217, 2504, 14005, 116, 1703, 488, 126, 133, 123, 126, 1628, 3177, 2375, 6047, 29639, 19416, 14005, 116, 1703, 488, 126, 133, 124, 127, 1628, 3177, 2375, 1175, 3681, 184, 1580, 196, 14005, 116, 1703, 488, 126, 133, 126, 132, 1628, 3177, 2375, 7890, 1649, 4737, 27040, 116, 1703, 488, 128, 133, 125, 125, 1628, 3177, 2375, 6047, 29639, 19416, 7409, 1757, 116, 1703, 488, 129, 133, 123, 128, 1628, 3177, 2375, 1175, 3681, 184, 1580, 196, 7409, 1757, 116, 1703, 488, 129, 133, 128, 132, 1628, 3177, 2375, 4698, 2565, 1233, 1807, 2174, 7409, 1757, 116, 1703, 488, 128, 133, 128, 123, 1628, 3177, 2375, 4497, 1242, 14989, 7409, 1757, 116, 1703, 488, 127, 133, 127, 126, 1194, 22596, 1171, 4052, 1628, 3177, 2375, 1463, 6794, 1449, 5941, 1943, 6537, 12727, 1201, 1165, 23692, 17604, 10036, 21659, 1785, 2765, 1171, 8496, 1140, 21367, 1171, 11992, 1449, 1165, 23692, 3179, 1171, 21659, 1785, 4414, 1988, 17038, 1135, 15392, 2747, 1161, 1863, 1140, 488, 125, 12609, 1361, 1209, 13440, 1163, 21576, 1988, 6794, 1449, 1254, 8543, 7219, 1292, 186, 1171, 8713, 2722, 2215, 4654, 2502, 7327, 488, 124, 125, 119, 488, 125, 123, 124, 123, 119, 1341, 1463, 28156, 10229, 1302, 14427, 2098, 1280, 30983, 179, 1145, 1213, 1361, 1940, 3935, 1446, 1765, 12223, 6030, 121, 1988, 1463, 3151, 1156, 1238, 18648, 13234, 488, 124, 1324, 16423, 1204, 6693, 1302, 29867, 30983, 179, 1145, 1213, 2346, 1135, 6537, 1463, 1905, 1235, 13691, 1421, 1526, 1560, 1238, 1110, 14427, 5833, 1324, 28494, 10625, 2064, 3763, 13574, 13993, 9717, 1285, 1171, 7285, 6715, 6286, 4409, 1792, 2043, 1135, 9939, 9336, 2860, 10686, 152, 19486, 6144, 3616, 4501, 6144, 1463, 1270, 1345, 1307, 4347, 2718, 1449, 1204, 7304, 3948, 1518, 4816, 182, 1180, 20101, 18840, 1449, 7132, 1306, 4166, 2114, 1171, 3418, 1156, 1449, 8353, 1401, 6660, 1130, 7478, 2443, 121, 1410, 6144, 11051, 1376, 1135, 14225, 1132, 4457, 5013, 2910, 30983, 179, 1145, 1213, 1171, 1192, 3340, 1124, 23121, 1171, 7218, 7081, 30983, 179, 1145, 1213, 1147, 1110, 5833, 1395, 1287, 12035, 1156, 1449, 26009, 1106, 1452, 2996, 1988, 1959, 7081, 30983, 179, 1145, 1213, 21315, 1149, 15733, 1324, 1110, 1166, 1737, 2039, 1146, 10590, 1659, 17197, 6543, 23335, 30983, 179, 1145, 1213, 1361, 5822, 4522, 1147, 10404, 8256, 1388, 2330, 8752, 12498, 1107, 4700, 106, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 1709, 108, 21785, 106, 108, 10693, 4700, 106, 108, 10693, 19109, 10232, 15645, 2482, 21770, 6700, 28678, 165, 1260, 199, 9106, 3422, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 11934, 1510, 12742, 1449, 30983, 179, 1145, 1213, 1763, 1336, 6537, 25212, 1926, 3935, 9578, 1147, 488, 125, 123, 124, 123, 4297, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 3177, 2375, 1239, 1110, 6537, 1449, 21798, 1943, 20730, 30983, 179, 1145, 7526, 1988, 1463, 9578, 1147, 1135, 7612, 1238, 7327, 488, 124, 125, 119, 488, 125, 123, 124, 123, 1171, 1239, 1135, 1940, 3935, 1446, 1765, 12223, 13553, 6030, 121, 1410, 6537, 1239, 1110, 5089, 1161, 1863, 1140, 488, 125, 12609, 1361, 1209, 13440, 1163, 21576, 1988, 121, 14427, 13372, 2149, 488, 127, 1238, 1135, 7612, 9103, 1328, 1539, 1516, 1171, 2149, 488, 125, 1238, 1135, 7612, 1222, 1336, 1539, 1516, 1388, 16053, 27989, 1628, 3177, 2375, 6700, 1217, 2504, 14005, 116, 1703, 488, 126, 133, 123, 126, 1628, 3177, 2375, 6047, 29639, 19416, 14005, 116, 1703, 488, 126, 133, 124, 127, 1628, 3177, 2375, 1175, 3681, 184, 1580, 196, 14005, 116, 1703, 488, 126, 133, 126, 132, 1628, 3177, 2375, 7890, 1649, 4737, 27040, 116, 1703, 488, 128, 133, 125, 125, 1628, 3177, 2375, 6047, 29639, 19416, 7409, 1757, 116, 1703, 488, 129, 133, 123, 128, 1628, 3177, 2375, 1175, 3681, 184, 1580, 196, 7409, 1757, 116, 1703, 488, 129, 133, 128, 132, 1628, 3177, 2375, 4698, 2565, 1233, 1807, 2174, 7409, 1757, 116, 1703, 488, 128, 133, 128, 123, 1628, 3177, 2375, 4497, 1242, 14989, 7409, 1757, 116, 1703, 488, 127, 133, 127, 126, 1194, 22596, 1171, 4052, 1628, 3177, 2375, 1463, 6794, 1449, 5941, 1943, 6537, 12727, 1201, 1165, 23692, 17604, 10036, 21659, 1785, 2765, 1171, 8496, 1140, 21367, 1171, 11992, 1449, 1165, 23692, 3179, 1171, 21659, 1785, 4414, 1988, 17038, 1135, 15392, 2747, 1161, 1863, 1140, 488, 125, 12609, 1361, 1209, 13440, 1163, 21576, 1988, 6794, 1449, 1254, 8543, 7219, 1292, 186, 1171, 8713, 2722, 2215, 4654, 2502, 7327, 488, 124, 125, 119, 488, 125, 123, 124, 123, 119, 1341, 1463, 28156, 10229, 1302, 14427, 2098, 1280, 30983, 179, 1145, 1213, 1361, 1940, 3935, 1446, 1765, 12223, 6030, 121, 1988, 1463, 3151, 1156, 1238, 18648, 13234, 488, 124, 1324, 16423, 1204, 6693, 1302, 29867, 30983, 179, 1145, 1213, 2346, 1135, 6537, 1463, 1905, 1235, 13691, 1421, 1526, 1560, 1238, 1110, 14427, 5833, 1324, 28494, 10625, 2064, 3763, 13574, 13993, 9717, 1285, 1171, 7285, 6715, 6286, 4409, 1792, 2043, 1135, 9939, 9336, 2860, 10686, 152, 19486, 6144, 3616, 4501, 6144, 1463, 1270, 1345, 1307, 4347, 2718, 1449, 1204, 7304, 3948, 1518, 4816, 182, 1180, 20101, 18840, 1449, 7132, 1306, 4166, 2114, 1171, 3418, 1156, 1449, 8353, 1401, 6660, 1130, 7478, 2443, 121, 1410, 6144, 11051, 1376, 1135, 14225, 1132, 4457, 5013, 2910, 30983, 179, 1145, 1213, 1171, 1192, 3340, 1124, 23121, 1171, 7218, 7081, 30983, 179, 1145, 1213, 1147, 1110, 5833, 1395, 1287, 12035, 1156, 1449, 26009, 1106, 1452, 2996, 1988, 1959, 7081, 30983, 179, 1145, 1213, 21315, 1149, 15733, 1324, 1110, 1166, 1737, 2039, 1146, 10590, 1659, 17197, 6543, 23335, 30983, 179, 1145, 1213, 1361, 5822, 4522, 1147, 10404, 8256, 1388, 2330, 8752, 12498, 1107, 4700, 106, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 1709, 108, 21785, 106, 108, 10693, 4700, 106, 108, 10693, 19109, 10232, 15645, 2482, 21770, 6700, 28678, 165, 1260, 199, 9106, 3422, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 11934, 1510, 12742, 1449, 30983, 179, 1145, 1213, 1763, 1336, 6537, 25212, 1926, 3935, 9578, 1147, 488, 125, 123, 124, 123, 4297, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 1691, 3312, 196, 1161, 25830, 15742, 9512, 8649, 173, 2323, 1165, 7490, 1292, 1146, 133, 18520, 351, 365, 5021, 134, 1147, 8649, 173, 2323, 14136, 133, 25830, 1105, 7972, 1239, 1110, 8649, 173, 2323, 29617, 23384, 1691, 3312, 196, 8452, 1147, 25830, 1105, 1810, 1147, 1135, 7389, 3258, 1161, 27341, 27728, 1780, 1171, 1147, 1135, 10750, 1161, 6353, 269, 193, 1810, 1147, 8649, 173, 9236, 1988, 1239, 14347, 1296, 1110, 8356, 14103, 18253, 1161, 1135, 9629, 1161, 8649, 173, 1575, 1175, 16698, 26814, 488, 130, 125, 129, 4023, 1598, 1691, 3312, 1762, 14874, 1163, 3281, 8980, 1171, 3281, 13089, 1164, 3561, 21642, 1110, 4991, 1161, 1691, 3583, 8732, 20997, 14860, 1691, 3312, 196, 1239, 2692, 8452, 1147, 1110, 28568, 16732, 8115, 1161, 5057, 26285, 5953, 7552, 1968, 8756, 1163, 4786, 119, 1341, 12542, 2441, 1163, 1135, 1266, 29415, 9827, 267, 1106, 27401, 1433, 1171, 1239, 2346, 1163, 1537, 2023, 20883, 1449, 1209, 182, 1105, 4741, 1135, 17969, 1161, 7829, 186, 288, 4032, 2993, 267, 119, 2000, 12743, 1355, 1135, 25987, 1161, 28520, 26260, 3346, 2831, 1175, 124, 126, 131, 132, 3628, 6612, 1163, 2017, 4669, 20519, 1135, 11849, 2592, 3110, 2441, 1163, 1135, 488, 124, 130, 1276, 14851, 6043, 1691, 3312, 196, 1239, 1940, 14388, 1147, 488, 124, 128, 127, 131, 121, 1410, 11849, 1463, 10484, 2377, 4361, 1147, 488, 124, 130, 128, 129, 119, 1355, 1135, 14990, 1161, 1135, 1386, 178, 1255, 1108, 18627, 1696, 134, 1341, 1463, 28910, 1147, 488, 124, 130, 129, 129, 1449, 1135, 8649, 173, 2323, 6153, 4622, 1259, 1121, 4357, 29424, 1651, 1293, 1737, 20689, 26662, 14113, 1135, 8042, 8649, 173, 2323, 1405, 7434, 1149, 4064, 1135, 20312, 1137, 1220, 1175, 124, 131, 123, 127, 120, 124, 131, 124, 126, 1496, 1135, 11849, 1463, 10484, 30505, 1449, 1135, 7311, 3583, 1171, 17234, 1147, 488, 124, 131, 126, 123, 119, 1341, 1463, 1169, 11922, 1147, 17172, 121, 1410, 6540, 4679, 23353, 1147, 488, 124, 131, 131, 131, 1171, 1110, 1624, 11849, 119, 1135, 3224, 11849, 119, 1463, 7406, 1147, 488, 124, 131, 132, 125, 1147, 1110, 8649, 3307, 3551, 196, 197, 1199, 1314, 3838, 134, 1341, 1463, 1458, 1168, 189, 1589, 1449, 1135, 1138, 21681, 1161, 1135, 488, 287, 1219, 1183, 1184, 1436, 1210, 1762, 1173, 2683, 180, 2831, 9692, 180, 2831, 6221, 267, 119, 1147, 488, 124, 132, 124, 124, 6043, 12557, 1376, 1147, 1135, 1691, 3312, 196, 1393, 1449, 18568, 1912, 1918, 21494, 267, 1171, 18965, 9177, 1200, 1287, 8851, 267, 121, 3454, 1135, 10920, 1734, 193, 1972, 1393, 1135, 1870, 1161, 17486, 2303, 181, 1171, 1200, 181, 1287, 1119, 13784, 267, 1446, 1200, 20125, 267, 6649, 488, 124, 132, 131, 127, 119, 1110, 29203, 16023, 14874, 1163, 3281, 1173, 4424, 1463, 7406, 134, 1110, 8371, 1140, 14874, 1163, 3281, 1306, 1219, 1569, 182, 4849, 1463, 2543, 7770, 1147, 488, 124, 132, 132, 132, 1171, 1110, 12954, 2313, 2747, 1148, 8371, 1140, 1463, 2674, 1651, 1589, 1147, 488, 125, 123, 123, 127, 1388, 1891, 9520, 1194, 21320, 1959, 1489, 1267, 1161, 8649, 173, 2323, 29617, 23384, 1691, 3312, 1429, 1505, 14803, 19574, 1161, 1135, 6353, 269, 9269, 10750, 1194, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 15742, 5383, 15170, 14103, 18253, 1147, 8649, 173, 1575, 6975, 172, 15742, 32001, 1424, 32000, 20036, 2359, 1691, 1573, 1450, 1125, 25830, 15742, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 18520, 351, 365, 5021, 2040, 1186, 1714, 1897, 25803, 1257, 25830, 1105, 7972, 1299, 1189, 1691, 1573, 1450, 16790, 23384, 176, 1714, 1897, 8446, 1188, 25830, 1105, 1810, 1313, 1158, 23361, 1125, 27341, 27728, 1780, 1167, 1313, 1170, 10750, 1125, 6353, 269, 193, 1810, 1186, 8649, 173, 4654, 1768, 1299, 8827, 1300, 1158, 4575, 1197, 19574, 3908, 4294, 31217, 1125, 1158, 7732, 1125, 8649, 22587, 1175, 9014, 5472, 26814, 488, 130, 125, 129, 4023, 2606, 1691, 1573, 6909, 17934, 1188, 13811, 9436, 1167, 13811, 13089, 1164, 3561, 1522, 2845, 1318, 9287, 1125, 1127, 1979, 1104, 1388, 4929, 13700, 15624, 1691, 1573, 1450, 1299, 10125, 8446, 1313, 1189, 4742, 3293, 2379, 1125, 3171, 26285, 5953, 7745, 3015, 1158, 4786, 119, 1527, 22475, 1370, 1188, 1158, 1106, 27401, 4094, 1197, 1266, 29415, 9827, 267, 1167, 5760, 1318, 28453, 16939, 182, 1105, 4741, 1158, 25605, 1125, 7829, 186, 288, 4032, 2993, 267, 119, 4541, 1188, 1158, 16535, 1125, 28520, 26260, 3346, 2831, 1175, 124, 126, 131, 132, 116, 2040, 3702, 5610, 4309, 13989, 22938, 6462, 22475, 1317, 11402, 3463, 176, 6298, 8155, 1691, 1573, 1450, 1299, 21001, 1256, 1158, 3453, 2768, 1186, 488, 124, 128, 127, 131, 121, 2576, 1603, 10194, 1110, 1913, 13288, 5159, 1303, 1186, 488, 124, 130, 128, 129, 119, 1188, 5444, 13616, 1125, 4428, 1205, 27057, 3333, 18627, 6533, 2831, 2040, 2399, 1110, 1913, 1381, 6544, 1186, 488, 124, 130, 129, 129, 1215, 10905, 10577, 1714, 1897, 4622, 1259, 1121, 4357, 29424, 1651, 1293, 1737, 20689, 26662, 7823, 1227, 11824, 7340, 19824, 1714, 1897, 2714, 1207, 20312, 1137, 1220, 1175, 124, 131, 123, 127, 120, 124, 131, 124, 126, 1496, 22938, 1110, 1913, 13288, 13390, 5563, 1215, 1207, 7311, 8644, 31600, 1186, 488, 124, 131, 126, 123, 119, 2399, 1110, 1913, 1685, 8414, 5563, 1186, 11110, 14279, 2576, 1740, 28567, 8135, 1821, 1414, 1568, 1186, 488, 124, 131, 131, 131, 1167, 1318, 3643, 2231, 183, 8222, 22938, 2981, 7615, 1110, 1913, 27537, 1186, 488, 124, 131, 132, 125, 1313, 1189, 3838, 1714, 3307, 24580, 197, 1199, 1109, 2040, 2399, 1110, 1913, 30364, 1215, 21804, 17215, 1125, 5753, 1436, 1210, 1214, 1125, 488, 287, 1219, 1183, 1173, 2683, 180, 2831, 9692, 180, 2831, 6221, 267, 1186, 488, 124, 132, 124, 124, 121, 26841, 12557, 21695, 1357, 1281, 16552, 1313, 1170, 1691, 1573, 1450, 1508, 30845, 1188, 18568, 1912, 1918, 21494, 267, 1167, 18965, 9177, 1200, 1287, 8851, 267, 121, 14715, 1207, 21359, 4133, 1300, 6141, 1508, 1282, 13221, 1125, 17486, 2303, 181, 1167, 1200, 181, 1287, 1119, 13784, 267, 1125, 1200, 20125, 267, 8370, 488, 124, 132, 131, 127, 1110, 1913, 13826, 1189, 1138, 1301, 3995, 1450, 17934, 1188, 13811, 1173, 4424, 2040, 1318, 26807, 23185, 1188, 13811, 1306, 1219, 1183, 1308, 1110, 1913, 1253, 1738, 1303, 1186, 488, 124, 132, 132, 132, 1167, 1318, 26807, 12954, 2313, 2747, 1148, 1110, 1913, 23906, 28763, 1186, 488, 125, 123, 123, 127, 24890, 13374, 11052, 26328, 2038, 1197, 1691, 1573, 2805, 16790, 23384, 1104, 1714, 6482, 11301, 3375, 3908, 4294, 1227, 10750, 1125, 6353, 269, 9269, 1194, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 15742, 11301, 2070, 16191, 30645, 1186, 8649, 22587, 6975, 172, 15742, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 1691, 1573, 1450, 1125, 25830, 15742, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 18520, 351, 365, 5021, 2040, 1186, 1714, 1897, 25803, 1257, 25830, 1105, 7972, 1299, 1189, 1691, 1573, 1450, 16790, 23384, 176, 1714, 1897, 8446, 1188, 25830, 1105, 1810, 1313, 1158, 23361, 1125, 27341, 27728, 1780, 1167, 1313, 1170, 10750, 1125, 6353, 269, 193, 1810, 1186, 8649, 173, 4654, 1768, 1299, 8827, 1300, 1158, 4575, 1197, 19574, 3908, 4294, 31217, 1125, 1158, 7732, 1125, 8649, 22587, 1175, 9014, 5472, 26814, 488, 130, 125, 129, 4023, 2606, 1691, 1573, 6909, 17934, 1188, 13811, 9436, 1167, 13811, 13089, 1164, 3561, 1522, 2845, 1318, 9287, 1125, 1127, 1979, 1104, 1388, 4929, 13700, 15624, 1691, 1573, 1450, 1299, 10125, 8446, 1313, 1189, 4742, 3293, 2379, 1125, 3171, 26285, 5953, 7745, 3015, 1158, 4786, 119, 1527, 22475, 1370, 1188, 1158, 1106, 27401, 4094, 1197, 1266, 29415, 9827, 267, 1167, 5760, 1318, 28453, 16939, 182, 1105, 4741, 1158, 25605, 1125, 7829, 186, 288, 4032, 2993, 267, 119, 4541, 1188, 1158, 16535, 1125, 28520, 26260, 3346, 2831, 1175, 124, 126, 131, 132, 116, 2040, 3702, 5610, 4309, 13989, 22938, 6462, 22475, 1317, 11402, 3463, 176, 6298, 8155, 1691, 1573, 1450, 1299, 21001, 1256, 1158, 3453, 2768, 1186, 488, 124, 128, 127, 131, 121, 2576, 1603, 10194, 1110, 1913, 13288, 5159, 1303, 1186, 488, 124, 130, 128, 129, 119, 1188, 5444, 13616, 1125, 4428, 1205, 27057, 3333, 18627, 6533, 2831, 2040, 2399, 1110, 1913, 1381, 6544, 1186, 488, 124, 130, 129, 129, 1215, 10905, 10577, 1714, 1897, 4622, 1259, 1121, 4357, 29424, 1651, 1293, 1737, 20689, 26662, 7823, 1227, 11824, 7340, 19824, 1714, 1897, 2714, 1207, 20312, 1137, 1220, 1175, 124, 131, 123, 127, 120, 124, 131, 124, 126, 1496, 22938, 1110, 1913, 13288, 13390, 5563, 1215, 1207, 7311, 8644, 31600, 1186, 488, 124, 131, 126, 123, 119, 2399, 1110, 1913, 1685, 8414, 5563, 1186, 11110, 14279, 2576, 1740, 28567, 8135, 1821, 1414, 1568, 1186, 488, 124, 131, 131, 131, 1167, 1318, 3643, 2231, 183, 8222, 22938, 2981, 7615, 1110, 1913, 27537, 1186, 488, 124, 131, 132, 125, 1313, 1189, 3838, 1714, 3307, 24580, 197, 1199, 1109, 2040, 2399, 1110, 1913, 30364, 1215, 21804, 17215, 1125, 5753, 1436, 1210, 1214, 1125, 488, 287, 1219, 1183, 1173, 2683, 180, 2831, 9692, 180, 2831, 6221, 267, 1186, 488, 124, 132, 124, 124, 121, 26841, 12557, 21695, 1357, 1281, 16552, 1313, 1170, 1691, 1573, 1450, 1508, 30845, 1188, 18568, 1912, 1918, 21494, 267, 1167, 18965, 9177, 1200, 1287, 8851, 267, 121, 14715, 1207, 21359, 4133, 1300, 6141, 1508, 1282, 13221, 1125, 17486, 2303, 181, 1167, 1200, 181, 1287, 1119, 13784, 267, 1125, 1200, 20125, 267, 8370, 488, 124, 132, 131, 127, 1110, 1913, 13826, 1189, 1138, 1301, 3995, 1450, 17934, 1188, 13811, 1173, 4424, 2040, 1318, 26807, 23185, 1188, 13811, 1306, 1219, 1183, 1308, 1110, 1913, 1253, 1738, 1303, 1186, 488, 124, 132, 132, 132, 1167, 1318, 26807, 12954, 2313, 2747, 1148, 1110, 1913, 23906, 28763, 1186, 488, 125, 123, 123, 127, 24890, 13374, 11052, 26328, 2038, 1197, 1691, 1573, 2805, 16790, 23384, 1104, 1714, 6482, 11301, 3375, 3908, 4294, 1227, 10750, 1125, 6353, 269, 9269, 1194, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 1105, 6472, 150, 172, 15742, 11301, 2070, 16191, 30645, 1186, 8649, 22587, 6975, 172, 15742, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 21311, 2296, 1510, 15579, 1299, 1189, 5372, 4972, 3277, 11181, 1146, 3589, 1276, 5363, 18131, 22057, 11953, 21143, 1167, 14225, 8922, 1215, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1186, 488, 125, 123, 124, 125, 7745, 31751, 17322, 1220, 1189, 17046, 1300, 1291, 3622, 1199, 1170, 25033, 182, 28610, 1188, 1266, 1510, 10335, 15862, 1313, 1158, 23139, 1835, 1158, 1545, 5363, 15613, 1167, 1170, 1643, 5160, 1170, 27902, 7713, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1167, 1594, 4924, 9900, 1300, 1189, 3418, 24137, 13924, 1243, 9552, 12710, 4414, 8637, 21143, 1167, 14225, 119, 1646, 7667, 1376, 1571, 25660, 17718, 1227, 3418, 1357, 21045, 1158, 6666, 1313, 1318, 18149, 6111, 7863, 1317, 6676, 1227, 29792, 25033, 182, 1510, 1835, 2708, 2114, 1318, 6018, 5921, 119, 1167, 1198, 28610, 1189, 6018, 2978, 242, 3847, 1643, 6018, 5921, 24935, 24489, 2335, 8618, 1383, 1523, 1189, 7788, 8243, 15769, 1456, 3701, 1167, 1309, 1561, 10023, 1198, 2009, 1321, 1108, 1186, 1299, 1189, 121, 1643, 6127, 1469, 1207, 2069, 1215, 3515, 3811, 1996, 1188, 1996, 9216, 14023, 3352, 4403, 1424, 20638, 5379, 1257, 1204, 2296, 1510, 15579, 106, 5294, 4521, 1167, 4052, 1257, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 106, 20357, 1257, 1539, 1558, 1233, 11380, 4436, 106, 4911, 6235, 1125, 4052, 1257, 12416, 8995, 1430, 12483, 1285, 1518, 2057, 1135, 16964, 12483, 1285, 1186, 11183, 1469, 1922, 1148, 2315, 1167, 1469, 1158, 9085, 1125, 1410, 21255, 1252, 5975, 106, 9299, 14994, 1257, 16533, 2433, 1545, 5363, 15613, 106, 9313, 1277, 17482, 1257, 1545, 5363, 106, 24178, 1257, 12511, 3909, 1323, 1222, 6874, 1323, 20787, 3176, 14029, 106, 8399, 1112, 1257, 13047, 3693, 1106, 3599, 119, 15563, 1960, 106, 25694, 1257, 488, 128, 129, 4826, 106, 1222, 2026, 1125, 8969, 1257, 488, 125, 123, 124, 125, 5587, 5553, 1125, 1165, 14540, 1260, 488, 1257, 488, 125, 123, 124, 126, 5007, 23945, 11473, 1300, 1922, 1148, 1260, 16010, 4094, 17557, 1257, 488, 125, 123, 124, 126, 1175, 1740, 1348, 3523, 12319, 125, 145, 2752, 1718, 143, 10995, 1424, 149, 1108, 181, 4816, 1202, 1510, 187, 1141, 1257, 3450, 5374, 1637, 1198, 2009, 1321, 1108, 1637, 1548, 1235, 11207, 2761, 109, 26101, 1136, 1304, 1129, 1154, 3023, 106, 13268, 196, 1128, 1119, 17888, 1301, 2162, 1257, 3450, 5374, 1637, 2708, 1105, 1628, 1569, 3708, 25830, 1822, 1705, 2240, 176, 1257, 1200, 1670, 5374, 1637, 1198, 1510, 106, 1539, 1558, 1233, 11380, 4436, 1257, 1200, 1670, 5374, 119, 17913, 2038, 106, 1539, 1866, 1558, 8587, 1119, 1257, 1200, 1670, 5374, 1530, 187, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1257, 1200, 1670, 5374, 9323, 1167, 16828, 5825, 1424, 1424, 488, 1204, 2296, 1510, 15579, 1300, 1170, 1865, 9229, 1125, 12416, 8995, 1430, 28677, 106, 488, 1204, 2296, 1510, 15579, 1300, 1170, 1865, 9229, 1125, 1410, 21255, 1252, 5975, 1720, 2296, 1510, 15579, 1300, 1170, 1865, 1227, 9461, 4578, 1227, 3418, 1125, 24147, 1119, 488, 125, 123, 124, 125, 1720, 2296, 1510, 15579, 1300, 1170, 1865, 1227, 9461, 1227, 3418, 25909, 3125, 1125, 1867, 4363, 1415, 1175, 125, 123, 124, 126, 1718, 145, 6417, 14898, 9665, 1186, 488, 125, 123, 124, 125, 15089, 1181, 5363, 18131, 9665, 1186, 488, 125, 123, 124, 125, 15089, 21143, 14898, 15089, 21143, 1181, 5363, 18131, 1720, 12920, 4972, 3277, 14898, 1720, 12920, 4972, 3277, 1181, 5363, 18131, 1720, 12920, 4972, 3277, 21143, 15089, 21143, 1300, 1170, 9452, 15089, 1281, 8866, 11953, 1186, 1545, 5363, 15613, 15089, 30720, 1186, 1545, 5363, 15613, 15089, 8922, 1215, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 32001, 1424, 32000, 20036, 1720, 2296, 1510, 15579, 1239, 1110, 9324, 29678, 1558, 14634, 2992, 2362, 3418, 1851, 4258, 31758, 1171, 14225, 18840, 1449, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1147, 488, 125, 123, 124, 125, 7745, 31751, 3229, 1110, 12050, 2060, 12767, 1149, 1135, 1204, 2296, 1510, 11662, 119, 1147, 1266, 1510, 10335, 15862, 1238, 1135, 11126, 2910, 1545, 1478, 1265, 1171, 1643, 5160, 3418, 27318, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1171, 1765, 3390, 1393, 4645, 1238, 1110, 3418, 2352, 2128, 13924, 1243, 9552, 12710, 4414, 2893, 4899, 1149, 1135, 6974, 2910, 31758, 1171, 14225, 119, 1448, 16427, 1135, 1169, 1122, 2289, 2314, 1161, 1135, 3418, 1758, 16736, 1135, 5013, 1161, 1135, 9164, 1238, 1110, 1794, 15103, 1449, 1135, 1204, 2296, 1510, 11662, 2910, 2708, 2114, 1110, 6176, 9717, 119, 1171, 1198, 28610, 1110, 6176, 8319, 121, 1410, 9717, 3971, 190, 1905, 1110, 8618, 1383, 1523, 1110, 15769, 1456, 21912, 1185, 7034, 119, 1171, 1302, 2067, 10886, 1192, 6773, 1321, 1108, 1239, 15631, 1410, 7107, 1324, 1135, 2197, 9060, 26092, 6816, 18898, 2030, 1926, 10051, 2523, 17696, 7261, 22207, 1204, 2296, 1510, 15579, 1763, 6989, 1171, 4052, 133, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1720, 19486, 133, 1539, 1558, 1233, 11380, 4436, 5383, 3409, 7629, 133, 12416, 8995, 1430, 12483, 1285, 1518, 2057, 1135, 16964, 12483, 1285, 1147, 11183, 1324, 1922, 1148, 2315, 1171, 1324, 1135, 9085, 1161, 1410, 21255, 1252, 5975, 1505, 15619, 1161, 3425, 133, 4909, 16983, 119, 1545, 1478, 1265, 3052, 1738, 7261, 6401, 133, 1545, 1558, 13164, 1128, 133, 11681, 1323, 1222, 6874, 1323, 20787, 3176, 14029, 2911, 1108, 1112, 133, 13047, 13532, 7479, 16018, 30155, 1763, 3607, 133, 488, 128, 129, 4826, 5061, 3866, 12542, 133, 488, 125, 123, 124, 125, 3835, 14540, 12483, 9461, 1260, 133, 488, 125, 123, 124, 126, 7393, 1801, 19839, 1238, 1922, 1148, 12125, 12602, 7834, 133, 488, 125, 123, 124, 126, 5007, 13739, 1449, 12319, 125, 145, 2752, 1718, 142, 1573, 2278, 1108, 181, 4816, 1202, 1510, 187, 1141, 133, 1306, 1201, 1372, 1637, 1192, 6773, 1321, 1108, 1637, 1410, 31267, 2312, 9718, 2267, 1235, 11207, 2761, 1709, 152, 1558, 196, 1128, 1119, 17888, 1301, 2162, 133, 1306, 1201, 1372, 1637, 2708, 1105, 1628, 1569, 3708, 25830, 1822, 1705, 2240, 176, 133, 27412, 7618, 1637, 1198, 1510, 4196, 1558, 1233, 11380, 4436, 133, 27412, 7618, 119, 17913, 1267, 4196, 1866, 1558, 8587, 1119, 133, 27412, 7618, 1530, 187, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 133, 27412, 7618, 1194, 26722, 14520, 19155, 2296, 1510, 15579, 1238, 1135, 6755, 12416, 8995, 1430, 28677, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 6755, 1410, 21255, 1252, 5975, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 24147, 1119, 5940, 12483, 9461, 488, 125, 123, 124, 125, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 1867, 4363, 1415, 22583, 12483, 9461, 1175, 125, 123, 124, 126, 116, 4877, 12323, 1164, 7474, 3418, 9578, 1147, 488, 125, 123, 124, 125, 4708, 1558, 3418, 9578, 1147, 488, 125, 123, 124, 125, 2056, 1164, 7474, 31758, 3418, 4708, 1558, 31758, 3418, 2056, 1164, 7474, 14634, 2992, 2362, 3418, 4708, 1558, 14634, 2992, 2362, 3418, 1763, 4719, 1626, 3418, 1238, 1116, 20770, 15089, 2142, 1147, 1545, 1478, 1265, 15089, 11731, 1147, 1545, 1478, 1265, 15089, 18840, 1449, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1720, 2296, 1510, 15579, 1239, 1110, 9324, 29678, 1558, 14634, 2992, 2362, 3418, 1851, 4258, 31758, 1171, 14225, 18840, 1449, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1147, 488, 125, 123, 124, 125, 7745, 31751, 3229, 1110, 12050, 2060, 12767, 1149, 1135, 1204, 2296, 1510, 11662, 119, 1147, 1266, 1510, 10335, 15862, 1238, 1135, 11126, 2910, 1545, 1478, 1265, 1171, 1643, 5160, 3418, 27318, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1171, 1765, 3390, 1393, 4645, 1238, 1110, 3418, 2352, 2128, 13924, 1243, 9552, 12710, 4414, 2893, 4899, 1149, 1135, 6974, 2910, 31758, 1171, 14225, 119, 1448, 16427, 1135, 1169, 1122, 2289, 2314, 1161, 1135, 3418, 1758, 16736, 1135, 5013, 1161, 1135, 9164, 1238, 1110, 1794, 15103, 1449, 1135, 1204, 2296, 1510, 11662, 2910, 2708, 2114, 1110, 6176, 9717, 119, 1171, 1198, 28610, 1110, 6176, 8319, 121, 1410, 9717, 3971, 190, 1905, 1110, 8618, 1383, 1523, 1110, 15769, 1456, 21912, 1185, 7034, 119, 1171, 1302, 2067, 10886, 1192, 6773, 1321, 1108, 1239, 15631, 1410, 7107, 1324, 1135, 2197, 9060, 26092, 6816, 18898, 2030, 1926, 10051, 2523, 17696, 7261, 22207, 1204, 2296, 1510, 15579, 1763, 6989, 1171, 4052, 133, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 1720, 19486, 133, 1539, 1558, 1233, 11380, 4436, 5383, 3409, 7629, 133, 12416, 8995, 1430, 12483, 1285, 1518, 2057, 1135, 16964, 12483, 1285, 1147, 11183, 1324, 1922, 1148, 2315, 1171, 1324, 1135, 9085, 1161, 1410, 21255, 1252, 5975, 1505, 15619, 1161, 3425, 133, 4909, 16983, 119, 1545, 1478, 1265, 3052, 1738, 7261, 6401, 133, 1545, 1558, 13164, 1128, 133, 11681, 1323, 1222, 6874, 1323, 20787, 3176, 14029, 2911, 1108, 1112, 133, 13047, 13532, 7479, 16018, 30155, 1763, 3607, 133, 488, 128, 129, 4826, 5061, 3866, 12542, 133, 488, 125, 123, 124, 125, 3835, 14540, 12483, 9461, 1260, 133, 488, 125, 123, 124, 126, 7393, 1801, 19839, 1238, 1922, 1148, 12125, 12602, 7834, 133, 488, 125, 123, 124, 126, 5007, 13739, 1449, 12319, 125, 145, 2752, 1718, 142, 1573, 2278, 1108, 181, 4816, 1202, 1510, 187, 1141, 133, 1306, 1201, 1372, 1637, 1192, 6773, 1321, 1108, 1637, 1410, 31267, 2312, 9718, 2267, 1235, 11207, 2761, 1709, 152, 1558, 196, 1128, 1119, 17888, 1301, 2162, 133, 1306, 1201, 1372, 1637, 2708, 1105, 1628, 1569, 3708, 25830, 1822, 1705, 2240, 176, 133, 27412, 7618, 1637, 1198, 1510, 4196, 1558, 1233, 11380, 4436, 133, 27412, 7618, 119, 17913, 1267, 4196, 1866, 1558, 8587, 1119, 133, 27412, 7618, 1530, 187, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 133, 27412, 7618, 1194, 26722, 14520, 19155, 2296, 1510, 15579, 1238, 1135, 6755, 12416, 8995, 1430, 28677, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 6755, 1410, 21255, 1252, 5975, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 24147, 1119, 5940, 12483, 9461, 488, 125, 123, 124, 125, 4877, 1720, 2296, 1510, 15579, 1238, 1135, 1867, 4363, 1415, 22583, 12483, 9461, 1175, 125, 123, 124, 126, 116, 4877, 12323, 1164, 7474, 3418, 9578, 1147, 488, 125, 123, 124, 125, 4708, 1558, 3418, 9578, 1147, 488, 125, 123, 124, 125, 2056, 1164, 7474, 31758, 3418, 4708, 1558, 31758, 3418, 2056, 1164, 7474, 14634, 2992, 2362, 3418, 4708, 1558, 14634, 2992, 2362, 3418, 1763, 4719, 1626, 3418, 1238, 1116, 20770, 15089, 2142, 1147, 1545, 1478, 1265, 15089, 11731, 1147, 1545, 1478, 1265, 15089, 18840, 1449, 8454, 1507, 1128, 187, 1510, 1997, 1107, 1141, 1876, 1569, 1203, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 159, 30087, 1257, 1325, 18630, 2362, 106, 5294, 4521, 1257, 8980, 26117, 106, 9299, 14994, 1257, 17664, 9864, 106, 9313, 1277, 1257, 9400, 106, 8399, 1112, 1257, 12483, 13509, 1132, 106, 25694, 1257, 488, 127, 128, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 129, 130, 106, 27020, 6897, 1811, 1257, 5623, 8276, 119, 9912, 1125, 11453, 1387, 1347, 6122, 14050, 2734, 119, 488, 124, 132, 129, 130, 1194, 4929, 1109, 1780, 1326, 15624, 18507, 8922, 1300, 3171, 3617, 1469, 1318, 23391, 1233, 1731, 195, 1125, 29104, 13299, 1186, 1189, 24510, 2567, 2205, 1115, 1129, 1300, 1318, 4794, 1125, 3203, 14339, 8752, 1304, 6191, 3997, 121, 1768, 2368, 6063, 1300, 1189, 2678, 3564, 1125, 1282, 22151, 120, 1728, 1812, 1125, 10905, 10577, 1188, 2482, 4524, 1167, 1281, 4331, 1107, 2944, 1215, 9118, 10303, 1473, 5885, 30910, 1300, 1189, 9709, 8446, 1835, 2069, 26712, 1317, 4779, 1125, 21922, 121, 3559, 22663, 1125, 1152, 16685, 21057, 1210, 1303, 1317, 7144, 1188, 3371, 14496, 24254, 1215, 18043, 12030, 1170, 3482, 2944, 9005, 2442, 8246, 4545, 1667, 21309, 1357, 7424, 9033, 4759, 3502, 488, 2093, 143, 16274, 1440, 9058, 5542, 26873, 1253, 12637, 2004, 3601, 1313, 1158, 9545, 1257, 1197, 6626, 3662, 1129, 1318, 1754, 1193, 1450, 2290, 1170, 5809, 2519, 24999, 2069, 6346, 5247, 16227, 4110, 1170, 14490, 1186, 2609, 1261, 1199, 1753, 3374, 19809, 10427, 190, 1188, 1158, 4879, 2086, 1189, 5598, 1835, 1167, 2368, 3478, 2587, 1317, 2429, 119, 1318, 6018, 4875, 1835, 1313, 1158, 4370, 7467, 4715, 1170, 3482, 1342, 1112, 6696, 4322, 1167, 16240, 1189, 7576, 23726, 10290, 2435, 3126, 1199, 1125, 8920, 121, 4466, 6976, 26873, 1508, 21560, 1442, 1234, 1313, 1170, 9058, 1723, 7542, 1207, 2905, 10748, 5542, 6766, 1597, 193, 7059, 23551, 1199, 1158, 28527, 1257, 1197, 1185, 1819, 1128, 2252, 1125, 7099, 1508, 5052, 1813, 5551, 1282, 11900, 119, 1158, 9537, 2918, 17043, 8369, 1902, 1227, 5505, 1272, 6058, 22396, 1125, 4421, 1227, 8866, 1692, 116, 14722, 7008, 1227, 2574, 1188, 1158, 7005, 2130, 8522, 119, 1167, 1207, 5412, 3608, 1125, 21922, 3216, 3310, 1734, 26117, 1110, 5162, 6840, 10865, 3171, 11940, 1167, 4841, 1125, 15848, 1380, 1890, 10803, 11350, 30248, 15503, 8765, 1317, 8718, 1160, 1227, 18507, 1299, 8088, 1303, 1175, 6305, 1158, 21042, 2519, 1197, 26712, 1215, 1189, 14514, 116, 1215, 1318, 16618, 1304, 3879, 18615, 1227, 1408, 11912, 1317, 1408, 1110, 1205, 7258, 2932, 1594, 1915, 6313, 1170, 3418, 28458, 1542, 1199, 1188, 15101, 1186, 17957, 1388, 8044, 2092, 15624, 3418, 1299, 7115, 2537, 21532, 1793, 1188, 1318, 18318, 2585, 1170, 9452, 13509, 1132, 14730, 180, 1370, 1207, 2383, 1741, 1166, 1519, 1136, 1234, 1167, 1805, 2950, 3392, 3775, 1207, 15848, 1380, 3093, 6843, 1104, 23964, 1207, 8196, 1125, 15432, 6279, 16314, 1272, 1576, 3122, 1172, 1199, 1318, 29908, 3430, 1125, 1282, 31586, 1167, 1215, 4410, 18812, 2630, 1568, 1300, 1189, 3430, 9221, 1125, 23391, 119, 1527, 13300, 1125, 8823, 18443, 1227, 9452, 5197, 11686, 1768, 18900, 1170, 2511, 3248, 1227, 9912, 1125, 9452, 13509, 1132, 1125, 11453, 1387, 1347, 6122, 14050, 2734, 1186, 488, 124, 132, 129, 130, 1388, 2439, 17935, 7364, 5825, 2093, 1424, 28912, 6417, 13509, 1132, 24832, 15089, 24832, 9665, 1186, 488, 124, 132, 129, 130, 15089, 8922, 1215, 8980, 26117, 1720, 12920, 4972, 3277, 24832, 114, 32001, 1424, 32000, 20036, 1853, 1123, 1328, 133, 1325, 18630, 2362, 1763, 30132, 1449, 133, 8980, 26117, 3052, 1738, 7261, 9166, 133, 17664, 4909, 6716, 1489, 16567, 133, 6938, 2911, 1108, 1112, 133, 11612, 2617, 1132, 3418, 1763, 3607, 133, 488, 127, 128, 4826, 5061, 3866, 3110, 133, 488, 124, 132, 129, 130, 1530, 2405, 133, 5623, 8276, 119, 11453, 1387, 1347, 6122, 14050, 2734, 9912, 119, 488, 124, 132, 129, 130, 1194, 4929, 3006, 1126, 14860, 18507, 11731, 2060, 5057, 5150, 1324, 1110, 9733, 1156, 1233, 1731, 195, 18565, 1810, 11395, 1161, 1110, 2763, 10010, 24510, 2060, 1110, 5529, 1161, 1905, 3337, 14339, 1516, 1201, 1161, 1151, 8422, 121, 1988, 22408, 1324, 1110, 9875, 11731, 1161, 1135, 6153, 1361, 4965, 1812, 1147, 2482, 4524, 1171, 9713, 1641, 24510, 190, 17816, 2488, 3810, 22528, 4237, 9653, 1238, 1110, 4812, 2910, 2197, 19305, 1147, 1135, 8302, 1161, 1135, 7179, 121, 1192, 7669, 1161, 1144, 7887, 28564, 1238, 1135, 8101, 1147, 1302, 10828, 14969, 1131, 6693, 1135, 6782, 2577, 4048, 11744, 5096, 1135, 4812, 1302, 1463, 2351, 4759, 1156, 12962, 1570, 8509, 6129, 1413, 6605, 6750, 29082, 1156, 7408, 3139, 2320, 1147, 1135, 4959, 133, 2467, 3662, 1149, 1110, 2293, 16075, 2670, 1135, 23115, 1161, 1110, 21877, 3100, 2197, 6176, 5718, 7822, 1147, 1226, 18309, 2884, 22814, 1163, 1753, 3374, 19809, 10427, 190, 1238, 1135, 4879, 2086, 1110, 1618, 25954, 1171, 4679, 4632, 1149, 1238, 1135, 6162, 4834, 1110, 6176, 9724, 25954, 1135, 26297, 13993, 1135, 10489, 1206, 1684, 2059, 2156, 2765, 1171, 13814, 7403, 9463, 10290, 17163, 2667, 1163, 1218, 2596, 5375, 10971, 7408, 1393, 29082, 1156, 1147, 6605, 1663, 1355, 2017, 4153, 3259, 6520, 10522, 176, 1513, 13093, 1149, 1135, 4222, 1406, 133, 4203, 1185, 1785, 1393, 7368, 1147, 5775, 1161, 1135, 4745, 1285, 1135, 29999, 6816, 7919, 3418, 1149, 1907, 3026, 3259, 1446, 1135, 9529, 1907, 116, 11059, 8522, 1149, 1446, 2954, 1163, 5833, 3703, 15657, 2064, 1171, 1135, 4072, 1111, 3807, 2918, 1296, 26117, 15839, 1641, 2629, 3259, 24846, 1171, 4841, 1161, 3418, 6043, 6329, 119, 19089, 15503, 21912, 1355, 1135, 10220, 1161, 1135, 18507, 1239, 17155, 9951, 2090, 1704, 1161, 1135, 8153, 4920, 1104, 1110, 7021, 116, 1449, 1110, 1144, 18630, 2362, 1446, 4768, 1163, 2533, 121, 2192, 6329, 1526, 2440, 1135, 3418, 23422, 1163, 6641, 1147, 2019, 6782, 1433, 1388, 1891, 2092, 14860, 3418, 1239, 12089, 20227, 1355, 1110, 1907, 2043, 24555, 1116, 20770, 30954, 4361, 1270, 2256, 196, 1171, 20903, 1156, 15395, 2064, 1329, 28910, 3418, 3287, 1175, 7949, 15432, 6279, 16314, 1272, 1361, 8196, 1576, 5535, 9396, 2267, 1110, 3935, 3532, 9092, 1161, 1135, 27349, 1171, 26326, 27824, 1238, 1110, 3935, 13866, 4210, 2121, 1341, 1425, 8057, 1163, 1135, 13555, 1419, 1161, 29293, 1116, 20770, 121, 1988, 9917, 1135, 2511, 29053, 1355, 1135, 11453, 1387, 1347, 6122, 14050, 2734, 24555, 3418, 9912, 1147, 488, 124, 132, 129, 130, 1388, 3652, 1274, 1989, 1194, 26722, 14520, 12498, 1119, 1217, 2323, 24555, 3418, 1505, 1119, 1217, 2323, 3418, 9578, 1147, 488, 124, 132, 129, 130, 1763, 30132, 1449, 8980, 26117, 1505, 1119, 1217, 2323, 14634, 2992, 2362, 3418, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1853, 1123, 1328, 133, 1325, 18630, 2362, 1763, 30132, 1449, 133, 8980, 26117, 3052, 1738, 7261, 9166, 133, 17664, 4909, 6716, 1489, 16567, 133, 6938, 2911, 1108, 1112, 133, 11612, 2617, 1132, 3418, 1763, 3607, 133, 488, 127, 128, 4826, 5061, 3866, 3110, 133, 488, 124, 132, 129, 130, 1530, 2405, 133, 5623, 8276, 119, 11453, 1387, 1347, 6122, 14050, 2734, 9912, 119, 488, 124, 132, 129, 130, 1194, 4929, 3006, 1126, 14860, 18507, 11731, 2060, 5057, 5150, 1324, 1110, 9733, 1156, 1233, 1731, 195, 18565, 1810, 11395, 1161, 1110, 2763, 10010, 24510, 2060, 1110, 5529, 1161, 1905, 3337, 14339, 1516, 1201, 1161, 1151, 8422, 121, 1988, 22408, 1324, 1110, 9875, 11731, 1161, 1135, 6153, 1361, 4965, 1812, 1147, 2482, 4524, 1171, 9713, 1641, 24510, 190, 17816, 2488, 3810, 22528, 4237, 9653, 1238, 1110, 4812, 2910, 2197, 19305, 1147, 1135, 8302, 1161, 1135, 7179, 121, 1192, 7669, 1161, 1144, 7887, 28564, 1238, 1135, 8101, 1147, 1302, 10828, 14969, 1131, 6693, 1135, 6782, 2577, 4048, 11744, 5096, 1135, 4812, 1302, 1463, 2351, 4759, 1156, 12962, 1570, 8509, 6129, 1413, 6605, 6750, 29082, 1156, 7408, 3139, 2320, 1147, 1135, 4959, 133, 2467, 3662, 1149, 1110, 2293, 16075, 2670, 1135, 23115, 1161, 1110, 21877, 3100, 2197, 6176, 5718, 7822, 1147, 1226, 18309, 2884, 22814, 1163, 1753, 3374, 19809, 10427, 190, 1238, 1135, 4879, 2086, 1110, 1618, 25954, 1171, 4679, 4632, 1149, 1238, 1135, 6162, 4834, 1110, 6176, 9724, 25954, 1135, 26297, 13993, 1135, 10489, 1206, 1684, 2059, 2156, 2765, 1171, 13814, 7403, 9463, 10290, 17163, 2667, 1163, 1218, 2596, 5375, 10971, 7408, 1393, 29082, 1156, 1147, 6605, 1663, 1355, 2017, 4153, 3259, 6520, 10522, 176, 1513, 13093, 1149, 1135, 4222, 1406, 133, 4203, 1185, 1785, 1393, 7368, 1147, 5775, 1161, 1135, 4745, 1285, 1135, 29999, 6816, 7919, 3418, 1149, 1907, 3026, 3259, 1446, 1135, 9529, 1907, 116, 11059, 8522, 1149, 1446, 2954, 1163, 5833, 3703, 15657, 2064, 1171, 1135, 4072, 1111, 3807, 2918, 1296, 26117, 15839, 1641, 2629, 3259, 24846, 1171, 4841, 1161, 3418, 6043, 6329, 119, 19089, 15503, 21912, 1355, 1135, 10220, 1161, 1135, 18507, 1239, 17155, 9951, 2090, 1704, 1161, 1135, 8153, 4920, 1104, 1110, 7021, 116, 1449, 1110, 1144, 18630, 2362, 1446, 4768, 1163, 2533, 121, 2192, 6329, 1526, 2440, 1135, 3418, 23422, 1163, 6641, 1147, 2019, 6782, 1433, 1388, 1891, 2092, 14860, 3418, 1239, 12089, 20227, 1355, 1110, 1907, 2043, 24555, 1116, 20770, 30954, 4361, 1270, 2256, 196, 1171, 20903, 1156, 15395, 2064, 1329, 28910, 3418, 3287, 1175, 7949, 15432, 6279, 16314, 1272, 1361, 8196, 1576, 5535, 9396, 2267, 1110, 3935, 3532, 9092, 1161, 1135, 27349, 1171, 26326, 27824, 1238, 1110, 3935, 13866, 4210, 2121, 1341, 1425, 8057, 1163, 1135, 13555, 1419, 1161, 29293, 1116, 20770, 121, 1988, 9917, 1135, 2511, 29053, 1355, 1135, 11453, 1387, 1347, 6122, 14050, 2734, 24555, 3418, 9912, 1147, 488, 124, 132, 129, 130, 1388, 3652, 1274, 1989, 1194, 26722, 14520, 12498, 1119, 1217, 2323, 24555, 3418, 1505, 1119, 1217, 2323, 3418, 9578, 1147, 488, 124, 132, 129, 130, 1763, 30132, 1449, 8980, 26117, 1505, 1119, 1217, 2323, 14634, 2992, 2362, 3418, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 488, 125, 123, 124, 127, 120, 125, 123, 124, 128, 6062, 1161, 1753, 2240, 14071, 1390, 1517, 1239, 1135, 488, 124, 124, 126, 1276, 6062, 1147, 1135, 5878, 1361, 29071, 1410, 4151, 2334, 1298, 1393, 9492, 1147, 3337, 7734, 17718, 133, 15696, 488, 125, 1175, 126, 123, 1276, 9085, 1496, 1135, 11609, 1125, 6556, 1171, 1135, 11609, 1125, 1158, 15696, 1388, 3732, 3067, 10370, 5067, 1194, 3466, 1135, 7305, 28339, 1753, 2240, 14071, 1390, 1517, 2055, 2019, 3284, 6062, 3976, 21507, 1163, 15696, 488, 125, 1147, 488, 125, 123, 123, 132, 121, 22744, 1683, 1462, 13528, 1171, 1324, 1151, 1946, 30568, 1364, 3390, 8109, 119, 22347, 2397, 2268, 18656, 2467, 9273, 7003, 1135, 6782, 6062, 1171, 12914, 1147, 1184, 27705, 2320, 7745, 10678, 1171, 4553, 16226, 20915, 1194, 5330, 177, 1201, 11934, 10678, 24367, 2030, 1926, 20915, 1194, 12958, 30697, 133, 22347, 2397, 2268, 186, 13779, 9965, 30697, 133, 31336, 2323, 1266, 1790, 2911, 186, 1132, 1347, 15369, 30697, 133, 25191, 1350, 10616, 1414, 2105, 11892, 30697, 133, 19208, 26233, 244, 2056, 11724, 30697, 133, 13949, 1204, 3604, 1298, 14731, 124, 132, 30697, 133, 3699, 4338, 1219, 1354, 1202, 1104, 4618, 14731, 124, 130, 30697, 133, 25191, 6044, 1334, 1628, 4536, 20915, 133, 27377, 4691, 20818, 1105, 19980, 1217, 1161, 27512, 15567, 133, 25191, 6044, 1334, 13935, 189, 1635, 1160, 11724, 133, 3699, 25965, 1194, 3732, 3067, 21255, 1104, 23159, 26216, 21255, 1104, 5532, 11636, 488, 125, 12498, 6494, 1125, 2315, 12498, 6494, 1125, 1158, 15696, 1194, 2003, 22218, 1194, 14712, 1174, 1753, 22218, 1194, 12268, 26510, 1753, 22218, 1194, 9748, 2941, 1121, 1201, 19155, 4220, 31842, 1972, 14860, 10617, 11886, 1474, 3390, 1161, 30811, 14873, 13472, 1135, 11820, 1161, 14071, 1390, 1517, 8316, 2470, 2483, 3904, 121, 1410, 8767, 13341, 1972, 1161, 1135, 9328, 18662, 1549, 1355, 1135, 2283, 1161, 1135, 6062, 1393, 1296, 14213, 2938, 5335, 1274, 2339, 14860, 3983, 3489, 7469, 1336, 1161, 1753, 2240, 14071, 1390, 1517, 13372, 2938, 124, 123, 129, 119, 123, 129, 123, 6374, 5607, 1147, 488, 124, 132, 15696, 488, 125, 3904, 1346, 5979, 7025, 488, 128, 119, 128, 131, 125, 1466, 3904, 106, 132, 119, 128, 128, 124, 6374, 5607, 1147, 488, 125, 11609, 1125, 1158, 15696, 3904, 1346, 5979, 7025, 488, 127, 119, 130, 131, 124, 1466, 3904, 106, 124, 124, 128, 119, 129, 124, 124, 6374, 5607, 1147, 488, 125, 124, 15792, 5232, 1543, 12621, 1285, 5979, 7025, 488, 128, 119, 128, 123, 128, 1466, 3904, 1194, 1891, 9520, 1194, 2003, 2240, 14071, 1390, 1517, 9528, 2240, 14071, 1390, 1517, 6062, 1489, 10646, 32001, 1424, 32000, 20036, 6057, 5540, 488, 125, 123, 124, 127, 120, 125, 123, 124, 128, 1227, 1753, 2240, 14071, 1390, 1517, 1299, 1158, 488, 124, 124, 126, 176, 6586, 1125, 13400, 1227, 5878, 121, 1808, 4151, 2334, 1298, 1508, 30231, 1313, 3203, 9973, 17718, 1257, 1158, 15696, 488, 125, 1175, 126, 123, 176, 9085, 116, 1167, 1158, 11609, 1125, 6556, 1167, 1158, 11609, 1125, 1158, 15696, 22341, 1234, 11125, 1125, 1158, 6586, 2093, 15531, 1170, 2678, 6036, 4496, 1170, 1753, 2240, 14071, 1390, 1517, 18532, 1561, 6742, 6586, 2757, 1158, 23164, 1303, 1186, 15696, 488, 125, 1186, 488, 125, 123, 123, 132, 121, 8431, 3016, 2968, 6571, 1160, 1167, 22902, 1698, 1210, 2234, 1313, 15623, 23416, 1327, 6634, 1207, 6626, 1125, 22347, 2397, 2268, 186, 12242, 1129, 29155, 1317, 5666, 2797, 1158, 29692, 1167, 5503, 1129, 1188, 1158, 15595, 1477, 2247, 2320, 1388, 16859, 24750, 1167, 20767, 7702, 1194, 5330, 177, 8377, 1194, 16859, 24750, 2093, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 2003, 2949, 4403, 2093, 1653, 1935, 249, 12243, 1257, 22347, 2397, 2268, 9945, 1653, 1935, 249, 12243, 21860, 1257, 31336, 2323, 1266, 1790, 106, 1653, 1935, 249, 12243, 1197, 24526, 1462, 1257, 25191, 1350, 10616, 1414, 106, 8487, 1436, 1793, 9261, 1257, 19208, 26233, 244, 106, 1653, 1935, 249, 12243, 4924, 1233, 1257, 13949, 1204, 3604, 1298, 106, 1653, 1935, 249, 12243, 1405, 124, 132, 1257, 3699, 4338, 1219, 1354, 1202, 1104, 4618, 106, 1653, 1935, 249, 12243, 1405, 124, 130, 1257, 25191, 6044, 1334, 106, 20915, 15601, 1257, 27377, 4691, 20818, 18581, 3079, 22402, 4779, 1125, 3968, 1257, 25191, 6044, 1334, 106, 21739, 1890, 1125, 19249, 1257, 3699, 25965, 1194, 10747, 190, 1125, 1158, 6586, 1194, 10747, 190, 1675, 1146, 1541, 5532, 11636, 488, 125, 12498, 6494, 1125, 2315, 12498, 6494, 1125, 1158, 15696, 1194, 2003, 12224, 1194, 2003, 12224, 3361, 5049, 1194, 2003, 12224, 24960, 12323, 22346, 4713, 1190, 1430, 1125, 1158, 8146, 12616, 9550, 24142, 1125, 30811, 14873, 5698, 1207, 11820, 1197, 12012, 14071, 1390, 1517, 1188, 3219, 3904, 121, 1808, 9547, 29327, 1227, 1238, 2174, 2262, 1188, 25994, 1125, 1158, 6586, 1508, 1207, 9643, 8623, 140, 1319, 10536, 2027, 29619, 2949, 10536, 1419, 1188, 10081, 1227, 1753, 2240, 14071, 1390, 1517, 12669, 1189, 3983, 8623, 1125, 488, 124, 123, 129, 121, 123, 129, 123, 6374, 2518, 1186, 488, 124, 132, 13656, 1125, 15696, 488, 125, 119, 2666, 1318, 8468, 1125, 488, 128, 121, 128, 131, 125, 4463, 1866, 1295, 1125, 488, 132, 121, 128, 128, 124, 6374, 2518, 1186, 488, 125, 13656, 1125, 11609, 1125, 1158, 1200, 1205, 3955, 2666, 1318, 8468, 1125, 488, 127, 121, 130, 131, 124, 4463, 1866, 1295, 1125, 488, 124, 124, 128, 121, 129, 124, 124, 6374, 2518, 1186, 488, 125, 124, 13656, 2962, 9973, 17718, 30996, 9107, 2666, 1318, 8468, 1125, 488, 128, 121, 128, 123, 128, 4463, 1866, 7552, 1319, 10536, 1419, 1227, 1753, 2240, 14071, 1390, 1517, 1188, 10081, 9323, 1167, 5474, 9323, 15948, 2093, 2003, 2240, 14071, 1390, 1517, 1628, 5540, 1227, 1753, 2240, 14071, 1390, 1517, 1489, 10646, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 6057, 5540, 488, 125, 123, 124, 127, 120, 125, 123, 124, 128, 1227, 1753, 2240, 14071, 1390, 1517, 1299, 1158, 488, 124, 124, 126, 176, 6586, 1125, 13400, 1227, 5878, 121, 1808, 4151, 2334, 1298, 1508, 30231, 1313, 3203, 9973, 17718, 1257, 1158, 15696, 488, 125, 1175, 126, 123, 176, 9085, 116, 1167, 1158, 11609, 1125, 6556, 1167, 1158, 11609, 1125, 1158, 15696, 22341, 1234, 11125, 1125, 1158, 6586, 2093, 15531, 1170, 2678, 6036, 4496, 1170, 1753, 2240, 14071, 1390, 1517, 18532, 1561, 6742, 6586, 2757, 1158, 23164, 1303, 1186, 15696, 488, 125, 1186, 488, 125, 123, 123, 132, 121, 8431, 3016, 2968, 6571, 1160, 1167, 22902, 1698, 1210, 2234, 1313, 15623, 23416, 1327, 6634, 1207, 6626, 1125, 22347, 2397, 2268, 186, 12242, 1129, 29155, 1317, 5666, 2797, 1158, 29692, 1167, 5503, 1129, 1188, 1158, 15595, 1477, 2247, 2320, 1388, 16859, 24750, 1167, 20767, 7702, 1194, 5330, 177, 8377, 1194, 16859, 24750, 2093, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 199, 19107, 108, 3623, 4884, 136, 131, 9988, 17204, 133, 1664, 145, 128, 130, 132, 125, 140, 109, 9079, 136, 10128, 199, 13090, 120, 1194, 2003, 2949, 4403, 2093, 1653, 1935, 249, 12243, 1257, 22347, 2397, 2268, 9945, 1653, 1935, 249, 12243, 21860, 1257, 31336, 2323, 1266, 1790, 106, 1653, 1935, 249, 12243, 1197, 24526, 1462, 1257, 25191, 1350, 10616, 1414, 106, 8487, 1436, 1793, 9261, 1257, 19208, 26233, 244, 106, 1653, 1935, 249, 12243, 4924, 1233, 1257, 13949, 1204, 3604, 1298, 106, 1653, 1935, 249, 12243, 1405, 124, 132, 1257, 3699, 4338, 1219, 1354, 1202, 1104, 4618, 106, 1653, 1935, 249, 12243, 1405, 124, 130, 1257, 25191, 6044, 1334, 106, 20915, 15601, 1257, 27377, 4691, 20818, 18581, 3079, 22402, 4779, 1125, 3968, 1257, 25191, 6044, 1334, 106, 21739, 1890, 1125, 19249, 1257, 3699, 25965, 1194, 10747, 190, 1125, 1158, 6586, 1194, 10747, 190, 1675, 1146, 1541, 5532, 11636, 488, 125, 12498, 6494, 1125, 2315, 12498, 6494, 1125, 1158, 15696, 1194, 2003, 12224, 1194, 2003, 12224, 3361, 5049, 1194, 2003, 12224, 24960, 12323, 22346, 4713, 1190, 1430, 1125, 1158, 8146, 12616, 9550, 24142, 1125, 30811, 14873, 5698, 1207, 11820, 1197, 12012, 14071, 1390, 1517, 1188, 3219, 3904, 121, 1808, 9547, 29327, 1227, 1238, 2174, 2262, 1188, 25994, 1125, 1158, 6586, 1508, 1207, 9643, 8623, 140, 1319, 10536, 2027, 29619, 2949, 10536, 1419, 1188, 10081, 1227, 1753, 2240, 14071, 1390, 1517, 12669, 1189, 3983, 8623, 1125, 488, 124, 123, 129, 121, 123, 129, 123, 6374, 2518, 1186, 488, 124, 132, 13656, 1125, 15696, 488, 125, 119, 2666, 1318, 8468, 1125, 488, 128, 121, 128, 131, 125, 4463, 1866, 1295, 1125, 488, 132, 121, 128, 128, 124, 6374, 2518, 1186, 488, 125, 13656, 1125, 11609, 1125, 1158, 1200, 1205, 3955, 2666, 1318, 8468, 1125, 488, 127, 121, 130, 131, 124, 4463, 1866, 1295, 1125, 488, 124, 124, 128, 121, 129, 124, 124, 6374, 2518, 1186, 488, 125, 124, 13656, 2962, 9973, 17718, 30996, 9107, 2666, 1318, 8468, 1125, 488, 128, 121, 128, 123, 128, 4463, 1866, 7552, 1319, 10536, 1419, 1227, 1753, 2240, 14071, 1390, 1517, 1188, 10081, 9323, 1167, 5474, 9323, 15948, 2093, 2003, 2240, 14071, 1390, 1517, 1628, 5540, 1227, 1753, 2240, 14071, 1390, 1517, 1489, 10646, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 22745, 1187, 1173, 14630, 1108, 1242, 3031, 1318, 10651, 27465, 17802, 20936, 1317, 1173, 14630, 1108, 1242, 20481, 2093, 17971, 4319, 1197, 4092, 488, 124, 132, 129, 123, 10948, 4847, 5200, 6035, 3113, 1173, 14630, 1108, 1242, 5859, 5818, 119, 1189, 22595, 1836, 20031, 1188, 16324, 12504, 1538, 1307, 1174, 2433, 23924, 1317, 1173, 14630, 1108, 1242, 1192, 4782, 7879, 1167, 5162, 1256, 23847, 1207, 14055, 1457, 4847, 5200, 1805, 7726, 1304, 4683, 1318, 3643, 2989, 6111, 3881, 9984, 4986, 16324, 28477, 13556, 1192, 1107, 1259, 9084, 1188, 3281, 4853, 16298, 3840, 4338, 1132, 6364, 7011, 1256, 9791, 1189, 6005, 2424, 1571, 25894, 1856, 2068, 11245, 1362, 22716, 6375, 1276, 2563, 1571, 12618, 4995, 1571, 1270, 12783, 1167, 1571, 2882, 1125, 3497, 1486, 1415, 1197, 2053, 1250, 1125, 13996, 121, 1643, 10651, 10472, 1123, 1167, 14853, 7243, 1317, 8007, 1197, 4092, 488, 124, 132, 130, 123, 1469, 1293, 2288, 1105, 5859, 5818, 1256, 8753, 1318, 3643, 10651, 1257, 5859, 1173, 14630, 1108, 1242, 8370, 488, 124, 132, 131, 123, 119, 1170, 3631, 7754, 3693, 3699, 27890, 11539, 3809, 6234, 6484, 27552, 1158, 10651, 1469, 1318, 13815, 6984, 1303, 1469, 1158, 3707, 1125, 2424, 17189, 1469, 1909, 16141, 3559, 6311, 2989, 6111, 3881, 9984, 4986, 1539, 4038, 14058, 3486, 13148, 10228, 1183, 13659, 2988, 13556, 1192, 1107, 1259, 9084, 2985, 15425, 1188, 1539, 2732, 14058, 3486, 13148, 1186, 488, 124, 132, 131, 125, 121, 1165, 17889, 1318, 3620, 25385, 1256, 11269, 1571, 5443, 14197, 1125, 12618, 1167, 1125, 17484, 1188, 1282, 1121, 26362, 1167, 1158, 6742, 1256, 7970, 1317, 8030, 121, 488, 124, 132, 131, 127, 2985, 1318, 5910, 10604, 1256, 3871, 187, 13235, 5519, 1187, 1173, 14630, 1108, 24547, 3450, 6035, 3113, 5859, 31978, 1118, 1188, 1252, 21528, 1167, 6035, 3113, 2445, 7879, 9292, 1897, 1541, 1656, 177, 2570, 1201, 1357, 2435, 2045, 172, 8139, 1317, 2511, 7019, 1125, 12618, 1167, 1125, 17484, 1317, 1734, 1456, 1118, 1227, 6973, 1227, 8579, 121, 1653, 488, 124, 132, 131, 129, 119, 1158, 11557, 4222, 172, 1469, 1282, 26387, 2519, 3643, 2989, 6111, 3881, 9984, 1231, 1188, 1173, 1512, 1319, 1444, 28812, 3450, 6035, 3113, 2445, 3171, 9118, 25894, 1125, 2167, 8327, 1313, 1207, 4092, 488, 124, 132, 132, 123, 1256, 16811, 1561, 3620, 1300, 1667, 1170, 6973, 14776, 120, 2834, 7607, 8509, 6849, 488, 124, 132, 132, 131, 119, 1170, 22595, 1836, 10472, 1123, 2743, 1469, 1282, 8453, 1125, 7812, 9254, 1121, 5859, 14631, 1662, 1167, 14214, 1301, 3942, 180, 2071, 2069, 25894, 4465, 1300, 1158, 16271, 6488, 1404, 1227, 29792, 22501, 2733, 4364, 5859, 1173, 14630, 1108, 1242, 1299, 7030, 15695, 4353, 2290, 1158, 4595, 1125, 3699, 27890, 11539, 3809, 1242, 1167, 1594, 8658, 3699, 11539, 3809, 6234, 1189, 3283, 22595, 1836, 1125, 2167, 8327, 1125, 21204, 1227, 6372, 30079, 28103, 2445, 1170, 16324, 1202, 1334, 3835, 9836, 1301, 2645, 1334, 116, 13556, 1192, 1107, 1259, 9084, 8155, 1859, 1170, 31439, 3699, 11539, 3809, 6234, 10656, 1309, 1158, 10651, 2367, 1622, 1188, 1909, 5736, 1388, 6797, 7416, 2093, 17971, 2879, 1125, 2738, 488, 125, 123, 125, 123, 119, 5859, 1173, 14630, 1108, 1242, 3618, 1207, 488, 125, 128, 1110, 1356, 1438, 4842, 10088, 1317, 24448, 1125, 16768, 6372, 2938, 2606, 1222, 30279, 120, 125, 3032, 18187, 31103, 10898, 1252, 150, 157, 149, 8135, 2609, 9080, 244, 1571, 5763, 2104, 6492, 1170, 488, 125, 126, 3201, 488, 125, 123, 124, 128, 24890, 5532, 1354, 16718, 2093, 7649, 9229, 1194, 8039, 2288, 1214, 27465, 12870, 3556, 8246, 1277, 19814, 1715, 12431, 1108, 1317, 8579, 29291, 22256, 7269, 8246, 1277, 32001, 1424, 32000, 20036, 1530, 1187, 1173, 14630, 1108, 1242, 1463, 1110, 17567, 4184, 2316, 4558, 1147, 1173, 14630, 1108, 1242, 10177, 7055, 30490, 1135, 5756, 488, 124, 132, 129, 123, 1285, 10948, 4847, 5200, 15995, 1173, 14630, 1108, 1242, 5859, 5818, 119, 1110, 1734, 2408, 4558, 1147, 16324, 12504, 1538, 1307, 1174, 2433, 19087, 1449, 1135, 1173, 14630, 1108, 1242, 1192, 4782, 7879, 1171, 2629, 1226, 14055, 3627, 2241, 4847, 5200, 8071, 1163, 3275, 1110, 1624, 14695, 1291, 2988, 28420, 16324, 28477, 13556, 1192, 1107, 1259, 9084, 1147, 3281, 4853, 16298, 3840, 4338, 1132, 6364, 7011, 1163, 4493, 4233, 2424, 1163, 7629, 2141, 2068, 11245, 1329, 22716, 6375, 1276, 2563, 12410, 2719, 2765, 1166, 6773, 2563, 1171, 20000, 7729, 3497, 2966, 16141, 1410, 4571, 18647, 1171, 23799, 1156, 1147, 1135, 7515, 120, 124, 132, 130, 123, 190, 1324, 1293, 2288, 1105, 5859, 5818, 1163, 5180, 1110, 1624, 4571, 133, 5859, 1173, 14630, 1108, 1242, 6649, 488, 124, 132, 131, 123, 119, 1135, 1624, 3022, 1659, 3699, 27890, 11539, 3809, 6234, 3516, 13972, 1135, 4571, 1324, 1110, 5822, 2928, 6333, 1163, 1135, 6159, 1161, 2424, 4343, 3078, 1192, 2423, 14695, 1291, 2988, 28420, 1539, 4038, 14058, 3486, 13148, 10228, 1183, 13659, 2988, 13556, 1192, 1107, 1259, 9084, 119, 1463, 13032, 1147, 1539, 2732, 14058, 3486, 13148, 1147, 488, 124, 132, 131, 125, 121, 2192, 1463, 1110, 21061, 3620, 1163, 3101, 1624, 29371, 1171, 2031, 1679, 19960, 4145, 4039, 1121, 3939, 1171, 1135, 3284, 2659, 1163, 1676, 10537, 121, 488, 124, 132, 131, 127, 1463, 1151, 3283, 1976, 1226, 5859, 1173, 14630, 1108, 1242, 1361, 2217, 1220, 10062, 1988, 22987, 5859, 31978, 1118, 1147, 1252, 21528, 1171, 1959, 24288, 7879, 9292, 1897, 1541, 1656, 177, 2570, 2563, 10192, 1341, 3101, 1163, 1110, 3564, 29837, 1226, 1734, 1456, 1118, 29371, 1171, 19960, 4145, 1147, 20339, 5947, 12910, 121, 1459, 488, 124, 132, 131, 129, 119, 8206, 12702, 1324, 1135, 4125, 1161, 1110, 1624, 14695, 1291, 2988, 2989, 1147, 1173, 1512, 1319, 1444, 28812, 1988, 1959, 22987, 5057, 3810, 1138, 2955, 7629, 1147, 1135, 488, 124, 132, 132, 123, 190, 1163, 9180, 1108, 2019, 3620, 8568, 20339, 5947, 12910, 7745, 2588, 488, 124, 132, 132, 131, 119, 1135, 1734, 2408, 1602, 6405, 24967, 1324, 1135, 19440, 1161, 7812, 9254, 1121, 5859, 14631, 1662, 1171, 14214, 1301, 3942, 180, 2071, 2197, 7629, 8452, 1238, 1135, 5584, 2460, 1345, 1161, 1135, 10315, 7432, 27036, 11662, 121, 13265, 1135, 4595, 1161, 3699, 27890, 11539, 3809, 1242, 1171, 1765, 1594, 3699, 11539, 3809, 6234, 5859, 1173, 14630, 1108, 1242, 1602, 5180, 1110, 6875, 1138, 2955, 1734, 2408, 1147, 22349, 6372, 21698, 1959, 3025, 2026, 1135, 16324, 1202, 1334, 3835, 9836, 1301, 2645, 1334, 116, 13556, 1192, 1107, 1259, 9084, 1388, 3466, 1859, 1135, 10283, 119, 3699, 11539, 3809, 6234, 10229, 1302, 1135, 4571, 1239, 1440, 6029, 2019, 8861, 14023, 29570, 1194, 4282, 1161, 4151, 488, 125, 123, 125, 123, 119, 5859, 1173, 14630, 1108, 1242, 2055, 1135, 3602, 488, 125, 128, 19744, 1238, 1135, 16768, 6372, 31683, 2938, 1598, 1222, 30279, 120, 125, 3032, 18187, 15017, 1296, 1252, 150, 157, 149, 2669, 21789, 1355, 5763, 2104, 6492, 1238, 6678, 488, 125, 126, 119, 488, 125, 123, 124, 128, 1388, 1891, 9520, 1194, 26722, 4672, 1194, 7089, 11076, 4877, 1194, 18229, 22443, 14742, 4184, 2316, 1530, 1187, 5192, 1147, 5947, 12910, 7069, 177, 22443, 5947, 12910, 4571, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 1187, 1173, 14630, 1108, 1242, 1463, 1110, 17567, 4184, 2316, 4558, 1147, 1173, 14630, 1108, 1242, 10177, 7055, 30490, 1135, 5756, 488, 124, 132, 129, 123, 1285, 10948, 4847, 5200, 15995, 1173, 14630, 1108, 1242, 5859, 5818, 119, 1110, 1734, 2408, 4558, 1147, 16324, 12504, 1538, 1307, 1174, 2433, 19087, 1449, 1135, 1173, 14630, 1108, 1242, 1192, 4782, 7879, 1171, 2629, 1226, 14055, 3627, 2241, 4847, 5200, 8071, 1163, 3275, 1110, 1624, 14695, 1291, 2988, 28420, 16324, 28477, 13556, 1192, 1107, 1259, 9084, 1147, 3281, 4853, 16298, 3840, 4338, 1132, 6364, 7011, 1163, 4493, 4233, 2424, 1163, 7629, 2141, 2068, 11245, 1329, 22716, 6375, 1276, 2563, 12410, 2719, 2765, 1166, 6773, 2563, 1171, 20000, 7729, 3497, 2966, 16141, 1410, 4571, 18647, 1171, 23799, 1156, 1147, 1135, 7515, 120, 124, 132, 130, 123, 190, 1324, 1293, 2288, 1105, 5859, 5818, 1163, 5180, 1110, 1624, 4571, 133, 5859, 1173, 14630, 1108, 1242, 6649, 488, 124, 132, 131, 123, 119, 1135, 1624, 3022, 1659, 3699, 27890, 11539, 3809, 6234, 3516, 13972, 1135, 4571, 1324, 1110, 5822, 2928, 6333, 1163, 1135, 6159, 1161, 2424, 4343, 3078, 1192, 2423, 14695, 1291, 2988, 28420, 1539, 4038, 14058, 3486, 13148, 10228, 1183, 13659, 2988, 13556, 1192, 1107, 1259, 9084, 119, 1463, 13032, 1147, 1539, 2732, 14058, 3486, 13148, 1147, 488, 124, 132, 131, 125, 121, 2192, 1463, 1110, 21061, 3620, 1163, 3101, 1624, 29371, 1171, 2031, 1679, 19960, 4145, 4039, 1121, 3939, 1171, 1135, 3284, 2659, 1163, 1676, 10537, 121, 488, 124, 132, 131, 127, 1463, 1151, 3283, 1976, 1226, 5859, 1173, 14630, 1108, 1242, 1361, 2217, 1220, 10062, 1988, 22987, 5859, 31978, 1118, 1147, 1252, 21528, 1171, 1959, 24288, 7879, 9292, 1897, 1541, 1656, 177, 2570, 2563, 10192, 1341, 3101, 1163, 1110, 3564, 29837, 1226, 1734, 1456, 1118, 29371, 1171, 19960, 4145, 1147, 20339, 5947, 12910, 121, 1459, 488, 124, 132, 131, 129, 119, 8206, 12702, 1324, 1135, 4125, 1161, 1110, 1624, 14695, 1291, 2988, 2989, 1147, 1173, 1512, 1319, 1444, 28812, 1988, 1959, 22987, 5057, 3810, 1138, 2955, 7629, 1147, 1135, 488, 124, 132, 132, 123, 190, 1163, 9180, 1108, 2019, 3620, 8568, 20339, 5947, 12910, 7745, 2588, 488, 124, 132, 132, 131, 119, 1135, 1734, 2408, 1602, 6405, 24967, 1324, 1135, 19440, 1161, 7812, 9254, 1121, 5859, 14631, 1662, 1171, 14214, 1301, 3942, 180, 2071, 2197, 7629, 8452, 1238, 1135, 5584, 2460, 1345, 1161, 1135, 10315, 7432, 27036, 11662, 121, 13265, 1135, 4595, 1161, 3699, 27890, 11539, 3809, 1242, 1171, 1765, 1594, 3699, 11539, 3809, 6234, 5859, 1173, 14630, 1108, 1242, 1602, 5180, 1110, 6875, 1138, 2955, 1734, 2408, 1147, 22349, 6372, 21698, 1959, 3025, 2026, 1135, 16324, 1202, 1334, 3835, 9836, 1301, 2645, 1334, 116, 13556, 1192, 1107, 1259, 9084, 1388, 3466, 1859, 1135, 10283, 119, 3699, 11539, 3809, 6234, 10229, 1302, 1135, 4571, 1239, 1440, 6029, 2019, 8861, 14023, 29570, 1194, 4282, 1161, 4151, 488, 125, 123, 125, 123, 119, 5859, 1173, 14630, 1108, 1242, 2055, 1135, 3602, 488, 125, 128, 19744, 1238, 1135, 16768, 6372, 31683, 2938, 1598, 1222, 30279, 120, 125, 3032, 18187, 15017, 1296, 1252, 150, 157, 149, 2669, 21789, 1355, 5763, 2104, 6492, 1238, 6678, 488, 125, 126, 119, 488, 125, 123, 124, 128, 1388, 1891, 9520, 1194, 26722, 4672, 1194, 7089, 11076, 4877, 1194, 18229, 22443, 14742, 4184, 2316, 1530, 1187, 5192, 1147, 5947, 12910, 7069, 177, 22443, 5947, 12910, 4571, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 5522, 1520, 3700, 2624, 2743, 4534, 1125, 1933, 1520, 3700, 1354, 1297, 19784, 1256, 1933, 1520, 3700, 2624, 1125, 16855, 4873, 1168, 1188, 27461, 1197, 29631, 1362, 2014, 17333, 1299, 1189, 17299, 1125, 29789, 3261, 2139, 4819, 23332, 1571, 16801, 1548, 11174, 1121, 20249, 2726, 1313, 1158, 4405, 24268, 15252, 3476, 12495, 1303, 1215, 1306, 25819, 1548, 1198, 11885, 1659, 1186, 488, 124, 132, 132, 131, 12258, 10515, 2519, 3370, 21143, 1253, 189, 1506, 1286, 1357, 1432, 2052, 1277, 1313, 1964, 12071, 1207, 6999, 1285, 1207, 3418, 1285, 1207, 14115, 1116, 1837, 1313, 1933, 1520, 3700, 2624, 1125, 16855, 4873, 1168, 8501, 1256, 13419, 4407, 1370, 1318, 3011, 1125, 1606, 6976, 26256, 1125, 6306, 2765, 1197, 7298, 7686, 9175, 1362, 9175, 13407, 2183, 1207, 6950, 2134, 2076, 19412, 2004, 6590, 1346, 2004, 1152, 1416, 9107, 2004, 13384, 4321, 1167, 1357, 6349, 2004, 8246, 4353, 2004, 1913, 13392, 1473, 8208, 1524, 12258, 1299, 1188, 13533, 1309, 1282, 18956, 1125, 29789, 3261, 2139, 4819, 1357, 8295, 14439, 1227, 6092, 1125, 4873, 1168, 119, 1288, 1170, 31870, 12634, 4550, 18505, 1197, 8852, 1125, 4274, 1496, 1995, 1440, 4249, 1186, 11094, 121, 1606, 1768, 3492, 1618, 1374, 1207, 2069, 9337, 1188, 1158, 12999, 10721, 9408, 1197, 4274, 7457, 9716, 1389, 4202, 3748, 1317, 1644, 9242, 11174, 1121, 1192, 2835, 1132, 1357, 2367, 1188, 1158, 6454, 1227, 1721, 1189, 17299, 9053, 14867, 1188, 2803, 1304, 5163, 1215, 1440, 13787, 1125, 8287, 11490, 1125, 1198, 4954, 1457, 2576, 21927, 3425, 1140, 1125, 4873, 1168, 119, 1306, 2291, 191, 3212, 1110, 29172, 1170, 29112, 1167, 5812, 10645, 11400, 2165, 19539, 8566, 1188, 8835, 1318, 9891, 1125, 18766, 1125, 1933, 1520, 3700, 2624, 3133, 15644, 1370, 2442, 4839, 2857, 1186, 488, 124, 132, 132, 131, 8155, 5509, 1125, 29789, 3261, 2139, 4819, 1167, 1158, 3591, 1186, 1522, 20028, 3365, 11404, 119, 2004, 1913, 2264, 17993, 1313, 4399, 29937, 6713, 1819, 1797, 16018, 2576, 144, 10248, 18497, 1548, 1266, 1542, 1140, 21951, 13619, 4892, 4023, 224, 2527, 106, 6489, 1551, 1104, 1167, 1677, 1153, 30545, 1323, 9547, 1256, 1235, 5522, 1520, 3700, 2624, 109, 1175, 124, 132, 132, 131, 1496, 1125, 29789, 3261, 2139, 4819, 9053, 1188, 2803, 1304, 5163, 1188, 1198, 4954, 1104, 1175, 124, 132, 132, 131, 1576, 488, 126, 123, 123, 23073, 106, 1933, 1520, 3700, 2624, 1125, 1235, 5522, 1520, 3700, 2624, 109, 1323, 9547, 1256, 1235, 5522, 1520, 3700, 2624, 109, 1125, 16855, 4873, 1168, 1188, 1282, 11075, 1197, 29631, 1362, 2014, 17333, 1175, 21163, 14621, 1167, 1947, 1738, 1303, 1496, 1125, 29789, 3261, 2139, 4819, 16801, 1548, 11174, 1121, 20249, 1132, 1175, 124, 132, 132, 131, 3563, 1933, 1520, 3700, 2624, 2743, 4534, 1125, 1235, 5522, 1520, 3700, 2624, 109, 1323, 9547, 1256, 1235, 5522, 1520, 3700, 2624, 109, 1125, 16855, 4873, 1168, 1188, 1282, 11075, 1197, 29631, 1362, 2014, 17333, 1167, 1125, 6650, 1357, 14255, 4550, 1335, 1175, 21163, 3360, 3955, 1947, 1738, 1303, 1167, 6139, 1303, 1496, 1125, 29789, 3261, 2139, 4819, 16801, 1548, 11174, 1121, 20249, 1132, 1175, 124, 132, 132, 131, 4023, 2439, 17935, 1194, 11333, 5888, 176, 4225, 1520, 3700, 15982, 17299, 1125, 16855, 4873, 1168, 11488, 1167, 5474, 1194, 144, 1722, 1558, 2720, 23332, 1186, 488, 124, 132, 132, 131, 2911, 176, 24079, 4873, 1168, 32001, 1424, 32000, 20036, 2902, 9451, 1209, 9451, 4233, 121, 19784, 1226, 1209, 9451, 1449, 16855, 4873, 1168, 1226, 1135, 2179, 1161, 15931, 2420, 2943, 1430, 1239, 1110, 1870, 1449, 29789, 3261, 2139, 4819, 8226, 1449, 1548, 11174, 1121, 20249, 1132, 1147, 488, 124, 132, 132, 131, 1147, 1135, 4405, 23712, 15252, 3476, 18840, 1449, 1306, 25819, 1548, 18934, 4618, 21698, 1239, 1151, 2543, 1506, 1286, 31758, 4533, 1302, 22078, 3669, 1285, 3418, 1285, 1171, 8153, 14388, 1147, 16855, 4873, 1168, 1361, 1209, 9451, 2441, 2127, 5469, 121, 2544, 4873, 1168, 119, 1341, 1463, 1110, 6446, 1161, 5207, 17142, 12518, 1161, 11727, 14263, 4611, 7414, 1355, 1704, 2151, 1329, 1151, 18551, 8169, 1161, 1135, 2994, 7227, 1602, 1281, 2765, 10401, 174, 2754, 10195, 119, 1171, 2491, 12962, 176, 3208, 119, 2023, 14869, 22936, 10686, 4515, 1239, 3283, 1163, 5698, 1302, 29789, 3261, 5094, 1361, 13035, 3602, 4873, 1168, 1361, 3737, 119, 4352, 9141, 16514, 2667, 4250, 1277, 1163, 15205, 14617, 1496, 5547, 1238, 1135, 5089, 121, 7496, 1752, 10127, 3210, 1280, 2629, 24758, 1135, 19440, 1161, 7377, 2098, 1537, 2023, 4397, 18031, 1226, 1135, 29983, 11174, 1121, 1192, 2835, 1132, 1758, 8065, 1135, 1721, 1110, 1870, 18814, 8226, 1449, 1413, 2406, 23652, 3750, 21495, 1446, 1198, 4954, 1457, 4873, 1168, 1361, 5379, 12871, 1659, 1306, 2291, 191, 3212, 30075, 1135, 19280, 3055, 10059, 20809, 3162, 18775, 3517, 22818, 12528, 1110, 8828, 3021, 16794, 1161, 1209, 1169, 13202, 1659, 109, 10919, 4839, 2857, 1147, 488, 124, 132, 132, 131, 22341, 22073, 3261, 5094, 1361, 21093, 1171, 1135, 15468, 2462, 2001, 1341, 4765, 1285, 1602, 2023, 3432, 9486, 1147, 6750, 18999, 26703, 6713, 1819, 1797, 16018, 2576, 144, 10248, 18497, 1548, 1266, 1542, 1140, 21951, 13619, 4892, 4023, 144, 2527, 3229, 191, 1551, 1171, 1677, 15960, 1890, 1323, 9547, 1226, 6587, 9451, 109, 1175, 124, 132, 132, 131, 1496, 1449, 29789, 3261, 2139, 4819, 3954, 3130, 13739, 1147, 1198, 4954, 1104, 1175, 124, 132, 132, 131, 1576, 488, 126, 123, 123, 17515, 2902, 9451, 6587, 9451, 109, 1323, 9547, 1226, 16855, 4873, 1168, 1361, 6587, 9451, 109, 1226, 1135, 2179, 1161, 15931, 2420, 2943, 1430, 14153, 2964, 1156, 1171, 10578, 1427, 16794, 1496, 1449, 29789, 3261, 2139, 4819, 1548, 11174, 1121, 1192, 2835, 1132, 1175, 124, 132, 132, 131, 116, 2422, 9451, 2764, 4233, 6587, 9451, 109, 1323, 9547, 1226, 16855, 4873, 1168, 1361, 6587, 9451, 109, 1226, 1135, 2179, 1161, 15931, 2420, 1171, 1189, 15148, 1149, 2943, 1430, 14153, 2964, 2754, 10578, 11298, 1171, 24967, 16794, 1496, 1449, 29789, 3261, 2139, 4819, 1548, 11174, 1121, 1192, 2835, 1132, 1175, 124, 132, 132, 131, 4023, 1891, 9520, 1194, 12225, 1589, 3477, 2902, 1169, 13202, 1659, 1870, 1449, 16855, 4873, 1168, 14023, 30206, 9374, 8226, 1147, 488, 124, 132, 132, 131, 2911, 176, 24079, 4873, 1168, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2902, 9451, 1209, 9451, 4233, 121, 19784, 1226, 1209, 9451, 1449, 16855, 4873, 1168, 1226, 1135, 2179, 1161, 15931, 2420, 2943, 1430, 1239, 1110, 1870, 1449, 29789, 3261, 2139, 4819, 8226, 1449, 1548, 11174, 1121, 20249, 1132, 1147, 488, 124, 132, 132, 131, 1147, 1135, 4405, 23712, 15252, 3476, 18840, 1449, 1306, 25819, 1548, 18934, 4618, 21698, 1239, 1151, 2543, 1506, 1286, 31758, 4533, 1302, 22078, 3669, 1285, 3418, 1285, 1171, 8153, 14388, 1147, 16855, 4873, 1168, 1361, 1209, 9451, 2441, 2127, 5469, 121, 2544, 4873, 1168, 119, 1341, 1463, 1110, 6446, 1161, 5207, 17142, 12518, 1161, 11727, 14263, 4611, 7414, 1355, 1704, 2151, 1329, 1151, 18551, 8169, 1161, 1135, 2994, 7227, 1602, 1281, 2765, 10401, 174, 2754, 10195, 119, 1171, 2491, 12962, 176, 3208, 119, 2023, 14869, 22936, 10686, 4515, 1239, 3283, 1163, 5698, 1302, 29789, 3261, 5094, 1361, 13035, 3602, 4873, 1168, 1361, 3737, 119, 4352, 9141, 16514, 2667, 4250, 1277, 1163, 15205, 14617, 1496, 5547, 1238, 1135, 5089, 121, 7496, 1752, 10127, 3210, 1280, 2629, 24758, 1135, 19440, 1161, 7377, 2098, 1537, 2023, 4397, 18031, 1226, 1135, 29983, 11174, 1121, 1192, 2835, 1132, 1758, 8065, 1135, 1721, 1110, 1870, 18814, 8226, 1449, 1413, 2406, 23652, 3750, 21495, 1446, 1198, 4954, 1457, 4873, 1168, 1361, 5379, 12871, 1659, 1306, 2291, 191, 3212, 30075, 1135, 19280, 3055, 10059, 20809, 3162, 18775, 3517, 22818, 12528, 1110, 8828, 3021, 16794, 1161, 1209, 1169, 13202, 1659, 109, 10919, 4839, 2857, 1147, 488, 124, 132, 132, 131, 22341, 22073, 3261, 5094, 1361, 21093, 1171, 1135, 15468, 2462, 2001, 1341, 4765, 1285, 1602, 2023, 3432, 9486, 1147, 6750, 18999, 26703, 6713, 1819, 1797, 16018, 2576, 144, 10248, 18497, 1548, 1266, 1542, 1140, 21951, 13619, 4892, 4023, 144, 2527, 3229, 191, 1551, 1171, 1677, 15960, 1890, 1323, 9547, 1226, 6587, 9451, 109, 1175, 124, 132, 132, 131, 1496, 1449, 29789, 3261, 2139, 4819, 3954, 3130, 13739, 1147, 1198, 4954, 1104, 1175, 124, 132, 132, 131, 1576, 488, 126, 123, 123, 17515, 2902, 9451, 6587, 9451, 109, 1323, 9547, 1226, 16855, 4873, 1168, 1361, 6587, 9451, 109, 1226, 1135, 2179, 1161, 15931, 2420, 2943, 1430, 14153, 2964, 1156, 1171, 10578, 1427, 16794, 1496, 1449, 29789, 3261, 2139, 4819, 1548, 11174, 1121, 1192, 2835, 1132, 1175, 124, 132, 132, 131, 116, 2422, 9451, 2764, 4233, 6587, 9451, 109, 1323, 9547, 1226, 16855, 4873, 1168, 1361, 6587, 9451, 109, 1226, 1135, 2179, 1161, 15931, 2420, 1171, 1189, 15148, 1149, 2943, 1430, 14153, 2964, 2754, 10578, 11298, 1171, 24967, 16794, 1496, 1449, 29789, 3261, 2139, 4819, 1548, 11174, 1121, 1192, 2835, 1132, 1175, 124, 132, 132, 131, 4023, 1891, 9520, 1194, 12225, 1589, 3477, 2902, 1169, 13202, 1659, 1870, 1449, 16855, 4873, 1168, 14023, 30206, 9374, 8226, 1147, 488, 124, 132, 132, 131, 2911, 176, 24079, 4873, 1168, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12616, 17827, 1125, 1643, 5294, 1731, 1299, 1318, 17827, 28869, 5964, 1125, 1158, 3028, 1125, 16049, 17116, 120, 15440, 1188, 1173, 4326, 6867, 9992, 10019, 1300, 1170, 7019, 1125, 1158, 4813, 1125, 1643, 5294, 12057, 1313, 1170, 5927, 1125, 1158, 1293, 2916, 1208, 1186, 3734, 10942, 4379, 28614, 30079, 1299, 3591, 1186, 2424, 1186, 488, 124, 131, 128, 128, 1215, 1158, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 1576, 25158, 2119, 1318, 17827, 24228, 1125, 1158, 7676, 5277, 1197, 25531, 1125, 4014, 2720, 4289, 153, 12918, 116, 1227, 5566, 25904, 10942, 4379, 17287, 8012, 30960, 1214, 1215, 1197, 21472, 6378, 3734, 1541, 7745, 1123, 10878, 28869, 1424, 15784, 2615, 1214, 1188, 488, 124, 132, 13061, 24950, 5815, 119, 1158, 17827, 1125, 1643, 5294, 1731, 1299, 10019, 1317, 2151, 12851, 1630, 3415, 4497, 150, 116, 488, 129, 123, 119, 127, 128, 130, 1125, 1158, 3028, 1125, 16049, 17116, 120, 15440, 1188, 1173, 4326, 6867, 9992, 1835, 1207, 2978, 1104, 1125, 1293, 2916, 1208, 1167, 1125, 17921, 19659, 4101, 9061, 2548, 8370, 17827, 1281, 5209, 1158, 2290, 5766, 1162, 488, 124, 119, 128, 1498, 161, 1323, 14985, 1227, 1204, 4816, 1142, 20481, 19528, 7051, 1125, 1643, 5294, 1731, 1299, 3591, 1186, 2424, 1170, 488, 125, 2822, 488, 124, 131, 128, 128, 1215, 1158, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 1496, 13625, 1378, 20293, 1188, 3871, 10004, 1158, 4960, 1125, 9313, 1105, 1188, 1198, 1767, 1554, 1125, 1594, 8052, 1125, 4014, 1125, 16049, 1188, 4060, 8370, 488, 125, 123, 124, 127, 119, 3557, 1318, 17827, 6273, 1136, 20921, 15257, 3471, 19340, 1233, 1257, 1158, 18279, 1162, 1299, 13052, 1362, 22367, 1188, 488, 124, 123, 123, 488, 123, 123, 123, 1215, 1151, 1125, 488, 125, 123, 124, 123, 1188, 488, 125, 123, 124, 124, 1496, 1357, 9924, 1125, 2069, 1179, 7655, 1189, 1522, 1164, 1167, 1318, 5887, 1378, 8370, 488, 125, 123, 124, 132, 119, 3702, 1207, 5915, 1430, 1125, 1158, 13626, 142, 11172, 1158, 18279, 1162, 16856, 1125, 1158, 17827, 3031, 1125, 488, 125, 131, 488, 123, 123, 123, 6273, 4995, 2714, 488, 126, 123, 488, 123, 123, 123, 1186, 488, 125, 123, 124, 131, 1167, 488, 125, 130, 488, 123, 123, 123, 1186, 488, 125, 123, 124, 130, 1388, 4887, 1197, 24228, 1194, 8321, 4316, 1424, 146, 1532, 13626, 142, 11172, 2399, 9924, 2335, 12685, 6273, 4995, 1469, 2166, 3352, 3378, 10193, 2183, 1207, 21039, 3450, 1299, 6428, 1303, 1304, 11241, 2026, 1256, 1282, 8453, 1125, 8470, 1125, 5192, 25904, 1388, 4298, 5887, 1378, 2856, 1158, 4759, 1303, 1197, 18122, 1167, 18434, 1571, 1179, 1298, 8509, 1224, 23858, 12616, 5294, 1731, 1299, 1318, 17827, 24228, 1227, 5566, 1198, 19912, 30960, 1214, 1215, 1197, 21472, 6378, 3734, 1541, 1125, 1158, 6127, 16049, 1323, 9313, 1105, 1323, 4115, 1108, 7958, 2042, 488, 127, 127, 4023, 6198, 3880, 1902, 1424, 2029, 4742, 1256, 1207, 29187, 1180, 1175, 124, 123, 1895, 2844, 1525, 116, 1167, 1189, 15242, 1256, 1207, 10922, 1251, 1508, 23906, 1193, 1234, 8732, 1128, 9330, 28869, 10791, 12685, 24228, 14994, 1253, 1738, 244, 1215, 1158, 30302, 1227, 7515, 180, 1299, 2595, 1300, 1170, 1865, 15826, 31942, 1125, 7669, 1429, 9323, 1167, 20117, 20544, 11052, 1424, 12253, 1125, 2978, 1104, 1186, 2315, 106, 12253, 1197, 2978, 1104, 1125, 10942, 4379, 28614, 106, 25044, 1125, 16049, 17116, 120, 15440, 1188, 1173, 4326, 6867, 1415, 106, 1173, 27805, 1125, 1158, 3028, 1125, 16049, 17116, 120, 15440, 1188, 1173, 4326, 6867, 1415, 5532, 1354, 16718, 1424, 2093, 146, 1532, 1186, 1293, 2916, 1208, 1489, 2042, 1125, 16049, 17116, 120, 15440, 1188, 1173, 4326, 6867, 1415, 2911, 1532, 3591, 1186, 2424, 1186, 488, 124, 131, 128, 128, 32001, 1424, 32000, 20036, 3616, 1643, 5294, 1731, 7051, 1239, 1110, 9197, 16188, 2850, 7051, 1238, 1135, 16049, 17116, 120, 15440, 1163, 1173, 4326, 6867, 1415, 20872, 8452, 1238, 1135, 29837, 1161, 1135, 7389, 3258, 1161, 1643, 5294, 12057, 1147, 1135, 1293, 2916, 1208, 15867, 1147, 1135, 10942, 4379, 28614, 6054, 21698, 1463, 13032, 1147, 488, 124, 131, 128, 128, 1449, 1135, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 4023, 4515, 1239, 1110, 31346, 7051, 1161, 1135, 9197, 4966, 21060, 2850, 10817, 4289, 153, 12918, 116, 1238, 1135, 25904, 10942, 4379, 28614, 5117, 119, 11462, 1449, 17567, 6378, 21472, 22341, 1478, 2850, 4356, 1489, 1237, 1589, 1355, 488, 124, 132, 2367, 1201, 5237, 14695, 24131, 1135, 1643, 5294, 1731, 7051, 1239, 8452, 1355, 12851, 3030, 2151, 4497, 150, 116, 488, 129, 123, 121, 127, 128, 130, 1238, 1135, 16049, 17116, 120, 15440, 1163, 1173, 4326, 6867, 1415, 20872, 2910, 1135, 1293, 2916, 1208, 1171, 17921, 19659, 4101, 9061, 2548, 17087, 6649, 1135, 7051, 1970, 1239, 1135, 488, 124, 121, 128, 1498, 161, 1323, 15321, 9789, 1162, 1161, 1204, 4816, 1142, 10177, 7055, 14860, 1643, 5294, 1731, 7051, 1463, 13032, 1238, 7357, 488, 125, 119, 488, 124, 131, 128, 128, 1449, 1135, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 1496, 2043, 1341, 13032, 1135, 9313, 1105, 1163, 1198, 1767, 1554, 4960, 1161, 2019, 16049, 1163, 4060, 16188, 2850, 1226, 7696, 6649, 488, 125, 123, 124, 127, 119, 1341, 1239, 1110, 17567, 31346, 7051, 3471, 5220, 1233, 133, 1324, 1151, 7469, 1336, 1161, 2060, 488, 124, 123, 123, 119, 123, 123, 123, 1466, 1976, 1446, 488, 125, 123, 124, 123, 1163, 488, 125, 123, 124, 124, 1496, 1324, 2197, 7544, 1285, 1110, 22588, 5661, 1171, 1110, 4981, 173, 7621, 6649, 488, 125, 123, 124, 132, 119, 6612, 1163, 13626, 12918, 5915, 8815, 1135, 12058, 7469, 1336, 1355, 1135, 7051, 1463, 488, 125, 131, 119, 123, 123, 123, 14748, 2563, 10688, 1163, 488, 126, 123, 119, 123, 123, 123, 1147, 488, 125, 123, 124, 131, 1171, 488, 125, 130, 119, 123, 123, 123, 1147, 488, 125, 123, 124, 130, 8732, 1322, 20401, 2424, 1194, 1891, 2092, 14156, 1151, 13626, 12918, 1290, 2071, 1341, 1602, 1110, 31346, 6540, 1324, 1110, 17010, 7079, 119, 3275, 2600, 14527, 1988, 1239, 27390, 1324, 17010, 10561, 1226, 7725, 6029, 25904, 20928, 7552, 4981, 173, 7621, 8647, 7634, 1149, 1135, 25778, 1171, 3101, 1163, 1135, 27382, 1388, 4887, 2895, 5294, 1731, 1239, 1110, 31346, 7051, 1238, 1135, 25904, 5117, 119, 11462, 1449, 17567, 6378, 21472, 1238, 1135, 16049, 1323, 9313, 1105, 1323, 4115, 1108, 2458, 1175, 2316, 488, 127, 127, 4023, 6198, 3880, 3258, 1530, 25084, 8115, 1175, 124, 123, 17373, 116, 1171, 1110, 15242, 4238, 1226, 20287, 1393, 3969, 22341, 1478, 2850, 2067, 13769, 3616, 5379, 31346, 6540, 2543, 7770, 1449, 1135, 1204, 9071, 10817, 1239, 3517, 4143, 1238, 1135, 8463, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 1643, 5294, 1731, 7051, 1239, 1110, 9197, 16188, 2850, 7051, 1238, 1135, 16049, 17116, 120, 15440, 1163, 1173, 4326, 6867, 1415, 20872, 8452, 1238, 1135, 29837, 1161, 1135, 7389, 3258, 1161, 1643, 5294, 12057, 1147, 1135, 1293, 2916, 1208, 15867, 1147, 1135, 10942, 4379, 28614, 6054, 21698, 1463, 13032, 1147, 488, 124, 131, 128, 128, 1449, 1135, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 4023, 4515, 1239, 1110, 31346, 7051, 1161, 1135, 9197, 4966, 21060, 2850, 10817, 4289, 153, 12918, 116, 1238, 1135, 25904, 10942, 4379, 28614, 5117, 119, 11462, 1449, 17567, 6378, 21472, 22341, 1478, 2850, 4356, 1489, 1237, 1589, 1355, 488, 124, 132, 2367, 1201, 5237, 14695, 24131, 1135, 1643, 5294, 1731, 7051, 1239, 8452, 1355, 12851, 3030, 2151, 4497, 150, 116, 488, 129, 123, 121, 127, 128, 130, 1238, 1135, 16049, 17116, 120, 15440, 1163, 1173, 4326, 6867, 1415, 20872, 2910, 1135, 1293, 2916, 1208, 1171, 17921, 19659, 4101, 9061, 2548, 17087, 6649, 1135, 7051, 1970, 1239, 1135, 488, 124, 121, 128, 1498, 161, 1323, 15321, 9789, 1162, 1161, 1204, 4816, 1142, 10177, 7055, 14860, 1643, 5294, 1731, 7051, 1463, 13032, 1238, 7357, 488, 125, 119, 488, 124, 131, 128, 128, 1449, 1135, 30302, 1197, 25531, 1125, 4014, 1227, 1204, 9071, 1167, 1227, 23275, 4123, 8464, 1188, 1158, 9491, 1767, 4698, 9071, 1496, 2043, 1341, 13032, 1135, 9313, 1105, 1163, 1198, 1767, 1554, 4960, 1161, 2019, 16049, 1163, 4060, 16188, 2850, 1226, 7696, 6649, 488, 125, 123, 124, 127, 119, 1341, 1239, 1110, 17567, 31346, 7051, 3471, 5220, 1233, 133, 1324, 1151, 7469, 1336, 1161, 2060, 488, 124, 123, 123, 119, 123, 123, 123, 1466, 1976, 1446, 488, 125, 123, 124, 123, 1163, 488, 125, 123, 124, 124, 1496, 1324, 2197, 7544, 1285, 1110, 22588, 5661, 1171, 1110, 4981, 173, 7621, 6649, 488, 125, 123, 124, 132, 119, 6612, 1163, 13626, 12918, 5915, 8815, 1135, 12058, 7469, 1336, 1355, 1135, 7051, 1463, 488, 125, 131, 119, 123, 123, 123, 14748, 2563, 10688, 1163, 488, 126, 123, 119, 123, 123, 123, 1147, 488, 125, 123, 124, 131, 1171, 488, 125, 130, 119, 123, 123, 123, 1147, 488, 125, 123, 124, 130, 8732, 1322, 20401, 2424, 1194, 1891, 2092, 14156, 1151, 13626, 12918, 1290, 2071, 1341, 1602, 1110, 31346, 6540, 1324, 1110, 17010, 7079, 119, 3275, 2600, 14527, 1988, 1239, 27390, 1324, 17010, 10561, 1226, 7725, 6029, 25904, 20928, 7552, 4981, 173, 7621, 8647, 7634, 1149, 1135, 25778, 1171, 3101, 1163, 1135, 27382, 1388, 4887, 2895, 5294, 1731, 1239, 1110, 31346, 7051, 1238, 1135, 25904, 5117, 119, 11462, 1449, 17567, 6378, 21472, 1238, 1135, 16049, 1323, 9313, 1105, 1323, 4115, 1108, 2458, 1175, 2316, 488, 127, 127, 4023, 6198, 3880, 3258, 1530, 25084, 8115, 1175, 124, 123, 17373, 116, 1171, 1110, 15242, 4238, 1226, 20287, 1393, 3969, 22341, 1478, 2850, 2067, 13769, 3616, 5379, 31346, 6540, 2543, 7770, 1449, 1135, 1204, 9071, 10817, 1239, 3517, 4143, 1238, 1135, 8463, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 12928, 1220, 172, 1239, 1110, 9197, 3418, 18840, 1449, 13159, 178, 177, 1164, 2754, 1959, 5388, 1296, 1173, 1205, 119, 9578, 1147, 488, 125, 123, 123, 126, 21698, 1239, 1110, 26205, 1126, 1161, 1135, 7404, 9334, 1161, 1110, 6176, 13243, 7444, 1213, 1296, 1386, 7427, 190, 3575, 1135, 13842, 20142, 1149, 2337, 1171, 28568, 8779, 4957, 1135, 16850, 9519, 1210, 9577, 2397, 1320, 15751, 1135, 3075, 5897, 121, 13159, 178, 177, 6299, 1959, 26482, 1135, 4501, 1226, 1135, 3418, 1324, 3987, 1109, 1267, 1209, 193, 1857, 21214, 183, 3366, 2000, 15751, 9360, 1147, 1135, 10361, 7745, 31751, 24367, 2030, 1926, 8231, 1853, 9044, 133, 11567, 172, 1763, 3946, 1121, 133, 13159, 178, 177, 6299, 1628, 9414, 3059, 133, 13159, 178, 177, 6299, 1505, 1314, 13005, 11114, 133, 17703, 10175, 2114, 13159, 178, 177, 6299, 2586, 2689, 9513, 1306, 25819, 4847, 1245, 1176, 1720, 19486, 133, 1209, 193, 1857, 21214, 183, 3366, 13159, 178, 177, 6299, 1628, 1615, 133, 20714, 1308, 17181, 196, 1171, 18207, 1233, 2331, 1105, 1505, 1531, 6862, 133, 1772, 25855, 2324, 18630, 5383, 1619, 19423, 3699, 1165, 1992, 1346, 1204, 1230, 19008, 1107, 2086, 26119, 3758, 172, 2121, 25191, 16010, 10594, 5383, 3409, 7629, 133, 1922, 1148, 2315, 26677, 119, 23059, 19210, 1285, 1204, 1230, 15495, 174, 25285, 7934, 140, 3145, 1352, 1193, 1219, 1414, 1741, 4553, 2703, 1267, 4893, 1121, 133, 6624, 29492, 1505, 15619, 1161, 3425, 133, 2315, 1489, 16567, 133, 9197, 119, 6938, 119, 18451, 119, 18143, 119, 8069, 3100, 13554, 1813, 1965, 29081, 11519, 13164, 1128, 133, 11681, 1323, 488, 126, 128, 8680, 1323, 20787, 3176, 2911, 1108, 1112, 133, 18568, 1724, 1763, 3607, 133, 488, 124, 124, 123, 4826, 5061, 3866, 3110, 26992, 1165, 14540, 3835, 14540, 12483, 9461, 1323, 7312, 1500, 114, 11410, 17673, 11370, 22827, 6713, 1121, 17856, 5940, 12483, 9461, 11370, 26855, 6713, 1387, 17568, 5940, 12483, 9461, 1718, 142, 1573, 1750, 1180, 1210, 9577, 2397, 1320, 133, 11567, 172, 2902, 193, 1857, 21214, 18303, 133, 10438, 17019, 18491, 1724, 3509, 236, 3416, 133, 1254, 4481, 172, 1628, 1142, 1347, 133, 5796, 1724, 25983, 1129, 3382, 1165, 1444, 15612, 3728, 1129, 3382, 1750, 10205, 9776, 7587, 133, 1539, 1728, 244, 1530, 196, 28492, 1252, 14183, 1123, 9836, 133, 6384, 2911, 176, 24079, 1192, 1897, 133, 16855, 2056, 2139, 184, 5950, 1154, 133, 15643, 9433, 1530, 4540, 3743, 1117, 8118, 1548, 1165, 10870, 1720, 8339, 172, 1922, 2104, 1507, 133, 18126, 1489, 1493, 1200, 1383, 7613, 2056, 1538, 1740, 1146, 1148, 1200, 12920, 4401, 15970, 1227, 8580, 1126, 16189, 1242, 1266, 29156, 1194, 21320, 1959, 12323, 4807, 11114, 13519, 1783, 29020, 2982, 14886, 1477, 4790, 1859, 1859, 12928, 19013, 1918, 17618, 1933, 1515, 26677, 119, 1859, 1859, 1194, 26722, 14520, 2105, 30206, 3418, 9578, 1147, 488, 125, 123, 123, 126, 2105, 30206, 26039, 3418, 15089, 1147, 9197, 15089, 1147, 6938, 15089, 1147, 18451, 15089, 1147, 18143, 15089, 1147, 14289, 15089, 1147, 13554, 1813, 176, 15089, 1147, 29081, 11519, 4030, 1148, 3418, 32001, 1424, 32000, 20036, 28191, 172, 1299, 1189, 3418, 2720, 8922, 1215, 13159, 178, 177, 1164, 2754, 2690, 1173, 1205, 119, 9665, 1186, 488, 125, 123, 123, 126, 8273, 2119, 1318, 21091, 1197, 7404, 9334, 2335, 6018, 18866, 1197, 20102, 1188, 4759, 1170, 12630, 1317, 1962, 1125, 1909, 7120, 1346, 1197, 25862, 3365, 4759, 2596, 9519, 1210, 9577, 2397, 1320, 13301, 1170, 6315, 3189, 3850, 13159, 178, 177, 6299, 1110, 2445, 13644, 1158, 7585, 1227, 3418, 1469, 1170, 3987, 1105, 2038, 1209, 193, 1857, 21214, 183, 3366, 1357, 10809, 1594, 5865, 6315, 1313, 1170, 3418, 7745, 31751, 23159, 3352, 4403, 106, 20638, 1257, 11567, 6472, 5294, 4521, 1257, 13159, 178, 177, 6299, 106, 2941, 1538, 5844, 1257, 13159, 178, 177, 6299, 106, 10272, 4134, 1257, 17703, 10175, 2114, 13159, 178, 177, 6299, 106, 4304, 1272, 1257, 1306, 25819, 4847, 1245, 1176, 106, 20357, 1257, 1209, 193, 1857, 21214, 183, 3366, 13159, 178, 177, 6299, 106, 6218, 1257, 20714, 1308, 17181, 196, 1167, 18207, 1233, 2331, 18581, 13511, 6862, 1257, 1772, 25855, 2324, 18630, 106, 15495, 1836, 1257, 3699, 1165, 1992, 1346, 1204, 1230, 19008, 1107, 2086, 26119, 3758, 172, 2121, 25191, 16010, 10594, 106, 7676, 1125, 4052, 1257, 1922, 1148, 2315, 26677, 119, 23059, 19210, 1285, 1204, 1230, 15495, 174, 25285, 7934, 140, 3145, 1352, 1193, 1219, 1414, 1741, 4553, 1155, 7676, 1125, 6847, 1257, 6624, 29492, 106, 9299, 14994, 1257, 2315, 106, 9313, 1277, 1257, 15173, 7290, 7655, 13870, 13651, 9320, 11493, 23995, 5650, 30363, 7655, 1166, 1510, 2607, 106, 24178, 1257, 7099, 2353, 488, 126, 128, 8680, 2353, 20787, 3176, 106, 8399, 1112, 1257, 1106, 3599, 106, 25694, 1257, 1175, 124, 124, 123, 4826, 1260, 7922, 1125, 8969, 2232, 488, 1257, 488, 1165, 14540, 5587, 5553, 1125, 1165, 14540, 1323, 2722, 1109, 197, 2100, 1197, 3014, 2518, 1260, 488, 1257, 488, 22827, 5587, 5553, 4578, 1227, 3418, 1125, 22827, 1260, 488, 1257, 488, 26855, 5587, 5553, 4578, 1227, 3418, 1125, 26855, 1718, 143, 10995, 106, 9519, 1210, 9577, 2397, 1320, 1257, 11567, 6472, 1209, 193, 1857, 21214, 18303, 1257, 10438, 17019, 106, 28108, 3509, 236, 3416, 1257, 1254, 4481, 6472, 9412, 1347, 1257, 5796, 1724, 106, 3728, 1129, 3382, 1165, 1444, 180, 1257, 3728, 1129, 3382, 106, 1248, 10205, 9776, 7587, 1257, 1539, 1728, 244, 106, 23341, 28492, 1252, 14183, 1123, 9836, 1257, 6384, 106, 16855, 1192, 1897, 1257, 9692, 8968, 1233, 2139, 184, 5950, 1154, 1257, 15643, 9433, 106, 4148, 1124, 3743, 21352, 1257, 1548, 1165, 10870, 106, 1918, 1276, 172, 1922, 2104, 1507, 1257, 18901, 106, 1200, 1493, 1200, 1383, 7613, 1257, 11155, 106, 22242, 1740, 1146, 1148, 1200, 12920, 1257, 11155, 106, 21965, 1227, 8580, 1126, 1257, 11155, 106, 2397, 1242, 1266, 29156, 8623, 8036, 2072, 17994, 106, 30596, 29020, 2982, 14886, 1477, 4790, 1859, 1859, 1424, 10837, 1154, 1918, 17618, 1933, 1515, 26677, 119, 1859, 1859, 7364, 5825, 23159, 6417, 2720, 9665, 1186, 488, 125, 123, 123, 126, 15089, 27325, 2720, 15089, 1186, 2720, 15089, 1186, 9400, 15089, 1186, 24587, 15089, 1186, 17779, 15089, 1186, 15393, 15089, 1186, 30363, 1298, 15089, 1186, 1166, 1510, 2607, 15089, 17194, 1148, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 28191, 172, 1299, 1189, 3418, 2720, 8922, 1215, 13159, 178, 177, 1164, 2754, 2690, 1173, 1205, 119, 9665, 1186, 488, 125, 123, 123, 126, 8273, 2119, 1318, 21091, 1197, 7404, 9334, 2335, 6018, 18866, 1197, 20102, 1188, 4759, 1170, 12630, 1317, 1962, 1125, 1909, 7120, 1346, 1197, 25862, 3365, 4759, 2596, 9519, 1210, 9577, 2397, 1320, 13301, 1170, 6315, 3189, 3850, 13159, 178, 177, 6299, 1110, 2445, 13644, 1158, 7585, 1227, 3418, 1469, 1170, 3987, 1105, 2038, 1209, 193, 1857, 21214, 183, 3366, 1357, 10809, 1594, 5865, 6315, 1313, 1170, 3418, 7745, 31751, 23159, 3352, 4403, 106, 20638, 1257, 11567, 6472, 5294, 4521, 1257, 13159, 178, 177, 6299, 106, 2941, 1538, 5844, 1257, 13159, 178, 177, 6299, 106, 10272, 4134, 1257, 17703, 10175, 2114, 13159, 178, 177, 6299, 106, 4304, 1272, 1257, 1306, 25819, 4847, 1245, 1176, 106, 20357, 1257, 1209, 193, 1857, 21214, 183, 3366, 13159, 178, 177, 6299, 106, 6218, 1257, 20714, 1308, 17181, 196, 1167, 18207, 1233, 2331, 18581, 13511, 6862, 1257, 1772, 25855, 2324, 18630, 106, 15495, 1836, 1257, 3699, 1165, 1992, 1346, 1204, 1230, 19008, 1107, 2086, 26119, 3758, 172, 2121, 25191, 16010, 10594, 106, 7676, 1125, 4052, 1257, 1922, 1148, 2315, 26677, 119, 23059, 19210, 1285, 1204, 1230, 15495, 174, 25285, 7934, 140, 3145, 1352, 1193, 1219, 1414, 1741, 4553, 1155, 7676, 1125, 6847, 1257, 6624, 29492, 106, 9299, 14994, 1257, 2315, 106, 9313, 1277, 1257, 15173, 7290, 7655, 13870, 13651, 9320, 11493, 23995, 5650, 30363, 7655, 1166, 1510, 2607, 106, 24178, 1257, 7099, 2353, 488, 126, 128, 8680, 2353, 20787, 3176, 106, 8399, 1112, 1257, 1106, 3599, 106, 25694, 1257, 1175, 124, 124, 123, 4826, 1260, 7922, 1125, 8969, 2232, 488, 1257, 488, 1165, 14540, 5587, 5553, 1125, 1165, 14540, 1323, 2722, 1109, 197, 2100, 1197, 3014, 2518, 1260, 488, 1257, 488, 22827, 5587, 5553, 4578, 1227, 3418, 1125, 22827, 1260, 488, 1257, 488, 26855, 5587, 5553, 4578, 1227, 3418, 1125, 26855, 1718, 143, 10995, 106, 9519, 1210, 9577, 2397, 1320, 1257, 11567, 6472, 1209, 193, 1857, 21214, 18303, 1257, 10438, 17019, 106, 28108, 3509, 236, 3416, 1257, 1254, 4481, 6472, 9412, 1347, 1257, 5796, 1724, 106, 3728, 1129, 3382, 1165, 1444, 180, 1257, 3728, 1129, 3382, 106, 1248, 10205, 9776, 7587, 1257, 1539, 1728, 244, 106, 23341, 28492, 1252, 14183, 1123, 9836, 1257, 6384, 106, 16855, 1192, 1897, 1257, 9692, 8968, 1233, 2139, 184, 5950, 1154, 1257, 15643, 9433, 106, 4148, 1124, 3743, 21352, 1257, 1548, 1165, 10870, 106, 1918, 1276, 172, 1922, 2104, 1507, 1257, 18901, 106, 1200, 1493, 1200, 1383, 7613, 1257, 11155, 106, 22242, 1740, 1146, 1148, 1200, 12920, 1257, 11155, 106, 21965, 1227, 8580, 1126, 1257, 11155, 106, 2397, 1242, 1266, 29156, 8623, 8036, 2072, 17994, 106, 30596, 29020, 2982, 14886, 1477, 4790, 1859, 1859, 1424, 10837, 1154, 1918, 17618, 1933, 1515, 26677, 119, 1859, 1859, 7364, 5825, 23159, 6417, 2720, 9665, 1186, 488, 125, 123, 123, 126, 15089, 27325, 2720, 15089, 1186, 2720, 15089, 1186, 9400, 15089, 1186, 24587, 15089, 1186, 17779, 15089, 1186, 15393, 15089, 1186, 30363, 1298, 15089, 1186, 1166, 1510, 2607, 15089, 17194, 1148, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 162, 1475, 2460, 180, 11509, 1175, 824, 116, 1239, 1110, 19831, 12192, 7444, 1213, 9663, 180, 11114, 1194, 162, 1475, 2460, 180, 11509, 1463, 9204, 1147, 488, 124, 132, 127, 132, 1147, 16642, 7796, 1175, 627, 735, 1496, 8329, 2036, 2133, 21605, 5814, 1355, 1135, 23233, 2662, 15567, 1161, 1252, 1314, 11384, 1147, 9690, 1171, 1959, 28034, 12192, 18938, 1355, 17416, 1119, 4017, 1175, 670, 1576, 31627, 1386, 1239, 1110, 6644, 1161, 1135, 4966, 22279, 1162, 1161, 12192, 1252, 1314, 11384, 27309, 1285, 1135, 4966, 9756, 1161, 2358, 6338, 8080, 1285, 1171, 1135, 29712, 11079, 1345, 8080, 13309, 1161, 17416, 6871, 2133, 15650, 1135, 5783, 1161, 10608, 1161, 1252, 1314, 8080, 1285, 21302, 1449, 1135, 12192, 5303, 1163, 17967, 1171, 14834, 6153, 1297, 2133, 1239, 1959, 1110, 21495, 1161, 15449, 25076, 1355, 5057, 5116, 2695, 1147, 17416, 1119, 8448, 2588, 119, 1296, 2632, 1296, 1110, 4141, 2111, 1355, 1135, 11679, 1161, 18282, 3705, 1884, 1355, 1135, 17416, 1119, 18282, 3705, 1884, 28003, 7017, 1459, 1135, 6986, 3781, 3580, 1226, 1135, 14951, 1153, 1161, 14103, 2067, 1123, 3301, 1386, 1463, 22951, 1296, 1110, 12768, 13614, 1121, 1449, 1135, 28623, 1202, 2462, 1363, 1161, 1135, 28623, 12358, 1226, 1165, 14803, 6767, 1123, 5533, 2133, 1602, 6971, 15130, 31523, 9541, 1285, 3813, 3663, 3781, 1171, 1704, 21670, 1474, 10435, 3083, 2314, 1388, 6535, 1586, 1239, 1110, 6875, 3869, 1161, 18597, 1226, 1765, 2717, 24603, 25076, 1297, 11484, 1765, 15681, 119, 1386, 1602, 18094, 7003, 1543, 1161, 29285, 1171, 1147, 6986, 8937, 5057, 7127, 31480, 1459, 488, 125, 123, 123, 126, 119, 1386, 3512, 1589, 1147, 1110, 14103, 13735, 3580, 2910, 1135, 12192, 1171, 16869, 2323, 5303, 1297, 3187, 1135, 31523, 3228, 1161, 1135, 10736, 25182, 1386, 16420, 1147, 16869, 1226, 1110, 8641, 15851, 12192, 5814, 1171, 3908, 1388, 2103, 2364, 1261, 1765, 1226, 1433, 3162, 1161, 23978, 1325, 1475, 2460, 180, 11509, 1602, 3062, 6875, 14582, 1163, 1135, 9853, 1171, 3360, 2531, 3520, 1161, 1135, 31523, 2067, 13769, 1161, 1765, 1978, 4986, 10115, 2488, 1765, 4533, 1147, 1135, 3573, 1161, 11015, 17416, 1119, 4468, 1150, 2282, 1762, 1936, 4474, 1296, 3781, 1536, 1475, 2369, 2067, 13769, 1147, 9690, 7552, 184, 1510, 1543, 1765, 27568, 1296, 1151, 6153, 119, 1852, 1224, 4834, 17567, 8882, 11079, 1345, 2067, 13769, 2556, 3378, 1329, 4141, 2111, 1161, 5814, 2401, 1285, 1386, 1578, 177, 1201, 1135, 4077, 5783, 1161, 8618, 1262, 1213, 1523, 1296, 25076, 12034, 1765, 9170, 1171, 6582, 1140, 1510, 11146, 1302, 1386, 13486, 1163, 30257, 1147, 1765, 10154, 1972, 1171, 3124, 1205, 2039, 1146, 6888, 18898, 1259, 6234, 1325, 1475, 2460, 180, 11509, 1239, 17967, 1296, 1110, 11287, 1156, 6153, 1449, 1765, 24420, 5303, 1388, 10488, 190, 7191, 6888, 1449, 1325, 1475, 2460, 180, 11509, 1388, 21320, 1959, 2236, 7199, 1626, 12192, 15418, 2236, 7199, 1626, 12192, 5814, 4770, 11076, 4877, 1161, 1325, 1475, 2460, 180, 11509, 12323, 7963, 1147, 16642, 7796, 12192, 7444, 1213, 1161, 1135, 488, 125, 123, 1276, 14851, 12192, 7444, 1213, 1161, 1135, 488, 125, 124, 1243, 14851, 1233, 2589, 1147, 488, 124, 132, 127, 132, 121, 32001, 1424, 32000, 20036, 5486, 1475, 2460, 180, 11509, 1175, 824, 116, 1299, 1189, 23313, 18866, 17796, 25569, 14231, 1194, 162, 15454, 2460, 180, 11509, 1299, 5252, 1186, 488, 124, 132, 127, 132, 1188, 16642, 7796, 1175, 627, 735, 116, 1186, 1539, 4994, 1768, 1110, 6403, 244, 22010, 1188, 1158, 23233, 9635, 3506, 15422, 1197, 3032, 1541, 11384, 1125, 12278, 1167, 2445, 1207, 13837, 24165, 17796, 1104, 1188, 21314, 1125, 17416, 1119, 1175, 670, 1576, 3767, 11930, 6711, 1125, 1158, 18409, 20177, 1539, 4384, 1439, 1197, 14338, 10654, 1197, 3032, 1541, 8080, 1285, 1125, 1282, 15297, 5277, 1125, 1271, 19818, 2358, 1141, 8640, 1167, 1125, 1158, 7676, 11598, 2009, 1125, 22010, 8882, 11079, 1345, 1125, 17416, 3100, 1527, 1299, 26820, 1197, 3032, 1541, 8080, 1285, 1189, 3694, 31716, 1215, 1170, 5987, 17796, 1571, 14635, 4781, 1153, 1167, 1125, 3828, 5541, 121, 1768, 1299, 2445, 13787, 1125, 13391, 13753, 1313, 3171, 5116, 1837, 1125, 1158, 8448, 2588, 1125, 17416, 3100, 1167, 5416, 1793, 1317, 16927, 1125, 1158, 6375, 1596, 1214, 1125, 29717, 1125, 1158, 6375, 1596, 1214, 1125, 17416, 6871, 3762, 1170, 13959, 2929, 3781, 1125, 30987, 1227, 11639, 3908, 11216, 1527, 1299, 24270, 1215, 1170, 8487, 177, 1130, 15257, 1856, 11538, 12768, 1227, 13490, 15257, 1227, 11639, 3908, 11686, 1768, 1110, 15363, 1125, 5087, 3248, 5774, 11212, 2487, 5999, 3320, 13841, 16834, 21170, 1167, 1318, 6929, 1550, 1378, 8155, 6273, 1299, 1318, 3869, 15988, 7029, 10604, 1256, 1909, 6344, 6843, 1842, 1125, 3293, 5533, 1768, 1110, 1904, 1348, 2757, 1561, 12614, 9569, 2797, 1158, 30096, 1167, 2008, 8091, 15223, 3171, 3293, 10216, 1297, 1653, 488, 125, 123, 123, 126, 119, 1527, 13300, 1188, 1189, 2929, 7993, 4601, 16191, 1835, 1207, 4617, 7260, 17796, 1167, 1111, 10557, 26352, 1653, 4083, 1309, 6606, 16051, 1227, 3274, 5147, 18050, 1285, 1527, 1110, 2022, 2991, 3672, 1189, 1151, 1188, 1198, 1145, 3366, 4208, 12397, 22010, 1167, 1158, 3908, 28106, 1439, 8509, 16274, 1909, 5397, 2009, 4092, 30616, 119, 1325, 1475, 2460, 180, 11509, 1110, 14336, 6340, 244, 1188, 1158, 9853, 1167, 1158, 3360, 1123, 4521, 1227, 11639, 16051, 1125, 1561, 3734, 119, 3747, 1215, 1207, 12339, 3365, 1110, 2467, 1473, 1313, 1170, 6468, 1125, 1158, 3343, 1596, 1214, 22011, 1125, 17416, 3100, 1936, 1303, 11639, 2907, 1128, 15180, 3781, 1125, 1158, 12278, 8732, 30550, 2183, 1909, 8470, 11734, 2011, 3212, 1125, 21794, 4819, 4987, 18050, 1227, 11639, 26559, 7425, 1460, 15257, 1362, 1125, 5416, 1793, 1283, 6377, 190, 1304, 13774, 1527, 23113, 3977, 1125, 4077, 1235, 1326, 1343, 1112, 1523, 1734, 1527, 7318, 1256, 2435, 2254, 9170, 1167, 2134, 13633, 1125, 12614, 21236, 1527, 1999, 2251, 2291, 3295, 8398, 1186, 3014, 1199, 1909, 6843, 1842, 1167, 1909, 14766, 3124, 1205, 2039, 2097, 1388, 162, 1475, 2460, 180, 11509, 1299, 18668, 10125, 1856, 23313, 11287, 16740, 1215, 1170, 5987, 1125, 1594, 3293, 1388, 282, 19760, 24976, 14766, 1125, 1325, 1475, 2460, 180, 11509, 30039, 2072, 24152, 28106, 1439, 31310, 8080, 25569, 17796, 7649, 9229, 1125, 1325, 15454, 2460, 180, 11509, 4713, 3400, 1188, 16642, 7796, 3795, 1343, 1112, 17796, 1227, 23841, 6298, 3795, 1343, 1112, 17796, 1227, 12136, 25525, 6298, 1266, 3400, 1186, 488, 124, 132, 127, 132, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 5486, 1475, 2460, 180, 11509, 1175, 824, 116, 1299, 1189, 23313, 18866, 17796, 25569, 14231, 1194, 162, 15454, 2460, 180, 11509, 1299, 5252, 1186, 488, 124, 132, 127, 132, 1188, 16642, 7796, 1175, 627, 735, 116, 1186, 1539, 4994, 1768, 1110, 6403, 244, 22010, 1188, 1158, 23233, 9635, 3506, 15422, 1197, 3032, 1541, 11384, 1125, 12278, 1167, 2445, 1207, 13837, 24165, 17796, 1104, 1188, 21314, 1125, 17416, 1119, 1175, 670, 1576, 3767, 11930, 6711, 1125, 1158, 18409, 20177, 1539, 4384, 1439, 1197, 14338, 10654, 1197, 3032, 1541, 8080, 1285, 1125, 1282, 15297, 5277, 1125, 1271, 19818, 2358, 1141, 8640, 1167, 1125, 1158, 7676, 11598, 2009, 1125, 22010, 8882, 11079, 1345, 1125, 17416, 3100, 1527, 1299, 26820, 1197, 3032, 1541, 8080, 1285, 1189, 3694, 31716, 1215, 1170, 5987, 17796, 1571, 14635, 4781, 1153, 1167, 1125, 3828, 5541, 121, 1768, 1299, 2445, 13787, 1125, 13391, 13753, 1313, 3171, 5116, 1837, 1125, 1158, 8448, 2588, 1125, 17416, 3100, 1167, 5416, 1793, 1317, 16927, 1125, 1158, 6375, 1596, 1214, 1125, 29717, 1125, 1158, 6375, 1596, 1214, 1125, 17416, 6871, 3762, 1170, 13959, 2929, 3781, 1125, 30987, 1227, 11639, 3908, 11216, 1527, 1299, 24270, 1215, 1170, 8487, 177, 1130, 15257, 1856, 11538, 12768, 1227, 13490, 15257, 1227, 11639, 3908, 11686, 1768, 1110, 15363, 1125, 5087, 3248, 5774, 11212, 2487, 5999, 3320, 13841, 16834, 21170, 1167, 1318, 6929, 1550, 1378, 8155, 6273, 1299, 1318, 3869, 15988, 7029, 10604, 1256, 1909, 6344, 6843, 1842, 1125, 3293, 5533, 1768, 1110, 1904, 1348, 2757, 1561, 12614, 9569, 2797, 1158, 30096, 1167, 2008, 8091, 15223, 3171, 3293, 10216, 1297, 1653, 488, 125, 123, 123, 126, 119, 1527, 13300, 1188, 1189, 2929, 7993, 4601, 16191, 1835, 1207, 4617, 7260, 17796, 1167, 1111, 10557, 26352, 1653, 4083, 1309, 6606, 16051, 1227, 3274, 5147, 18050, 1285, 1527, 1110, 2022, 2991, 3672, 1189, 1151, 1188, 1198, 1145, 3366, 4208, 12397, 22010, 1167, 1158, 3908, 28106, 1439, 8509, 16274, 1909, 5397, 2009, 4092, 30616, 119, 1325, 1475, 2460, 180, 11509, 1110, 14336, 6340, 244, 1188, 1158, 9853, 1167, 1158, 3360, 1123, 4521, 1227, 11639, 16051, 1125, 1561, 3734, 119, 3747, 1215, 1207, 12339, 3365, 1110, 2467, 1473, 1313, 1170, 6468, 1125, 1158, 3343, 1596, 1214, 22011, 1125, 17416, 3100, 1936, 1303, 11639, 2907, 1128, 15180, 3781, 1125, 1158, 12278, 8732, 30550, 2183, 1909, 8470, 11734, 2011, 3212, 1125, 21794, 4819, 4987, 18050, 1227, 11639, 26559, 7425, 1460, 15257, 1362, 1125, 5416, 1793, 1283, 6377, 190, 1304, 13774, 1527, 23113, 3977, 1125, 4077, 1235, 1326, 1343, 1112, 1523, 1734, 1527, 7318, 1256, 2435, 2254, 9170, 1167, 2134, 13633, 1125, 12614, 21236, 1527, 1999, 2251, 2291, 3295, 8398, 1186, 3014, 1199, 1909, 6843, 1842, 1167, 1909, 14766, 3124, 1205, 2039, 2097, 1388, 162, 1475, 2460, 180, 11509, 1299, 18668, 10125, 1856, 23313, 11287, 16740, 1215, 1170, 5987, 1125, 1594, 3293, 1388, 282, 19760, 24976, 14766, 1125, 1325, 1475, 2460, 180, 11509, 30039, 2072, 24152, 28106, 1439, 31310, 8080, 25569, 17796, 7649, 9229, 1125, 1325, 15454, 2460, 180, 11509, 4713, 3400, 1188, 16642, 7796, 3795, 1343, 1112, 17796, 1227, 23841, 6298, 3795, 1343, 1112, 17796, 1227, 12136, 25525, 6298, 1266, 3400, 1186, 488, 124, 132, 127, 132, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 4515, 1239, 1110, 5545, 1108, 13010, 172, 6794, 1449, 2460, 1109, 1507, 180, 21103, 4180, 1171, 10956, 1589, 1449, 1306, 9249, 1845, 1239, 179, 2433, 17765, 1147, 1135, 5409, 12574, 7572, 1124, 1171, 8226, 1449, 1135, 12871, 1107, 26108, 1219, 25615, 1147, 5052, 8192, 20857, 9578, 2910, 488, 125, 123, 124, 125, 1171, 488, 125, 123, 124, 130, 121, 1410, 9197, 3451, 1239, 8226, 1449, 1165, 3312, 1712, 1147, 1135, 1173, 1569, 5778, 4405, 3976, 488, 125, 123, 124, 128, 6043, 13010, 172, 1239, 8482, 1427, 1446, 1135, 10704, 1449, 2460, 1109, 1507, 180, 21103, 1217, 1810, 1161, 1758, 3337, 20857, 2025, 9578, 1147, 488, 125, 123, 124, 125, 119, 1169, 1470, 9841, 1446, 488, 125, 123, 124, 126, 7745, 31751, 7862, 141, 4361, 22182, 1181, 1801, 1226, 6400, 1315, 3655, 18911, 1226, 2698, 3315, 138, 1410, 14919, 152, 1239, 3062, 1226, 1421, 108, 28215, 1135, 4991, 1161, 7992, 1161, 1413, 1624, 20536, 1626, 6585, 119, 11500, 2019, 5641, 1171, 2440, 2182, 3438, 7887, 2000, 1583, 18166, 1269, 1666, 176, 1762, 2764, 1163, 1135, 2481, 7900, 1326, 1569, 1364, 1161, 1680, 1197, 1187, 1457, 3268, 1280, 4467, 1161, 1680, 30192, 1329, 1341, 1239, 1421, 2000, 1583, 5180, 1135, 5226, 1161, 1680, 22254, 1129, 108, 5967, 19379, 196, 2086, 2692, 1217, 1242, 1297, 1192, 1513, 1292, 4476, 1156, 15681, 15751, 1324, 1151, 3669, 1302, 1131, 6646, 2717, 27438, 1500, 1238, 1135, 5488, 133, 1135, 14919, 8372, 1410, 14919, 12622, 1329, 8878, 1435, 14862, 14304, 119, 2098, 3493, 1163, 12735, 1110, 9702, 2059, 183, 1435, 7107, 1324, 2019, 4265, 121, 2192, 1239, 1543, 1341, 7175, 1226, 1135, 6404, 8836, 1161, 8153, 1147, 1413, 1624, 5035, 1161, 4815, 24775, 3654, 1163, 11855, 2127, 1110, 1360, 24959, 10244, 1226, 29560, 2468, 21268, 1171, 12463, 1433, 18779, 190, 1393, 1135, 3854, 1388, 7914, 1551, 1201, 1194, 2474, 1161, 20857, 1194, 4650, 4396, 1430, 5532, 1647, 120, 2535, 3418, 1530, 5368, 120, 2535, 3418, 6889, 2071, 1222, 1345, 2461, 192, 133, 1233, 26363, 1163, 488, 125, 126, 3243, 1109, 1579, 1106, 1345, 2433, 1463, 9578, 1238, 7871, 488, 125, 127, 119, 488, 125, 123, 124, 131, 1147, 9844, 1388, 14502, 1589, 6446, 4401, 3719, 1589, 16140, 6446, 22412, 1161, 1135, 13010, 172, 1463, 10229, 1238, 7357, 488, 130, 119, 488, 125, 123, 124, 130, 121, 26184, 280, 1507, 180, 30480, 16390, 23409, 1171, 3152, 190, 1135, 28599, 1171, 1135, 21784, 1239, 11992, 1449, 2397, 1107, 3589, 146, 1171, 1198, 153, 24819, 13195, 9827, 1293, 5243, 1239, 1147, 3812, 1161, 5080, 3195, 1171, 21784, 4595, 121, 1410, 6446, 1110, 2664, 1446, 6674, 488, 124, 126, 1163, 6384, 488, 125, 125, 119, 488, 125, 123, 124, 131, 1238, 1233, 158, 124, 124, 1171, 26855, 1204, 163, 121, 23455, 6419, 1156, 1135, 6446, 1147, 6075, 6871, 1410, 12306, 14121, 1239, 1222, 1345, 180, 1671, 192, 1839, 180, 1449, 2460, 280, 3166, 1173, 1569, 1174, 5243, 1171, 1135, 22565, 14121, 1239, 1233, 149, 1449, 1202, 1399, 121, 1173, 1129, 1558, 12483, 31436, 24288, 1135, 7377, 1147, 1135, 4909, 6716, 1171, 1110, 2664, 1135, 27639, 1238, 1306, 1176, 1647, 1388, 2474, 1161, 6181, 13456, 1194, 1891, 9520, 19155, 25465, 6446, 106, 125, 123, 124, 123, 190, 13010, 172, 1720, 25465, 8226, 1147, 7572, 1124, 12574, 1720, 25465, 8226, 1449, 1165, 3312, 1712, 2278, 28832, 1983, 3719, 1589, 6446, 4401, 1195, 1162, 11992, 1449, 2397, 1107, 3589, 146, 4401, 1195, 1162, 11992, 1449, 1198, 153, 150, 106, 125, 123, 124, 123, 190, 16375, 16140, 1714, 6099, 32001, 1424, 32000, 20036, 24368, 1189, 5545, 1108, 13010, 172, 12354, 1124, 4160, 1215, 2460, 1109, 1507, 180, 21103, 4180, 1167, 4615, 3356, 1215, 1306, 9249, 1845, 1239, 179, 2433, 17656, 7146, 1313, 1170, 12574, 1186, 3028, 7572, 1124, 1167, 9053, 1215, 1282, 21927, 26108, 1219, 25615, 1186, 8826, 20857, 8691, 1234, 3594, 2011, 1835, 488, 125, 123, 124, 125, 1167, 488, 125, 123, 124, 130, 121, 1643, 3451, 5964, 1299, 20896, 1303, 1215, 1165, 3312, 1712, 1313, 1158, 4405, 1173, 1569, 5778, 2757, 488, 125, 123, 124, 128, 8155, 13010, 172, 1299, 14317, 1227, 7808, 1125, 2460, 1109, 1507, 180, 21103, 1217, 1810, 2487, 3203, 6622, 1104, 1508, 3594, 2011, 1186, 488, 125, 123, 124, 125, 119, 1338, 1740, 1837, 1188, 3862, 1125, 488, 125, 123, 124, 126, 7745, 31751, 8549, 1653, 185, 12118, 1540, 1221, 1125, 6400, 1315, 3655, 12698, 1125, 2698, 3315, 1617, 1548, 14919, 152, 1299, 1844, 1256, 1385, 1590, 1863, 23938, 1158, 9287, 1197, 4665, 1392, 1125, 1440, 10424, 12184, 12759, 185, 3693, 2968, 4936, 1909, 4634, 1167, 9424, 8291, 1197, 2063, 1395, 7887, 1357, 1666, 244, 1187, 1258, 27930, 1839, 5012, 2121, 2076, 1317, 1408, 1147, 1342, 1118, 2234, 1125, 2106, 13487, 1297, 3350, 16415, 7648, 1125, 1581, 28190, 1362, 2465, 1385, 1357, 1971, 180, 1987, 197, 1158, 5123, 1125, 1581, 18754, 1369, 1590, 1524, 1194, 19379, 196, 2086, 1125, 2425, 21039, 3559, 12614, 2627, 1219, 1153, 1303, 10809, 1188, 1281, 1982, 13000, 4855, 1188, 1189, 6999, 1357, 6600, 176, 1125, 6344, 1177, 4437, 1392, 1300, 5488, 1257, 1170, 14919, 8372, 1548, 14919, 12622, 1362, 8878, 1435, 14862, 14304, 119, 3611, 3144, 1283, 3173, 2733, 1107, 1469, 1561, 22567, 1318, 6127, 1125, 13822, 1188, 2063, 1395, 1435, 121, 1768, 13050, 3492, 1382, 1408, 1188, 2797, 1158, 25848, 1125, 30665, 4195, 1125, 1440, 5047, 1125, 4815, 24775, 2134, 3631, 7433, 1256, 1281, 14675, 1313, 1318, 4235, 1253, 1403, 175, 1277, 1188, 1158, 29560, 2585, 9002, 1510, 1104, 1167, 17137, 2306, 1508, 1125, 3591, 8732, 7849, 1741, 5532, 2038, 1197, 20857, 1194, 199, 2409, 4650, 4396, 1430, 23159, 6417, 5368, 7488, 22412, 1186, 3418, 5368, 119, 1222, 1345, 2461, 192, 133, 1233, 26363, 1163, 488, 125, 126, 3243, 1109, 1579, 1106, 1345, 2433, 1299, 8969, 1170, 488, 125, 127, 3141, 488, 125, 123, 124, 131, 1317, 14506, 7745, 2974, 1304, 15673, 7488, 22412, 1186, 4726, 23170, 3719, 1303, 1227, 13010, 172, 1299, 19830, 1303, 1170, 488, 130, 2822, 488, 125, 123, 124, 130, 121, 26184, 280, 1507, 180, 30480, 16390, 12354, 1124, 1439, 1167, 18532, 1158, 1114, 22729, 1167, 1282, 15673, 1299, 30631, 1215, 2397, 1107, 3589, 146, 1167, 1198, 153, 24819, 1548, 2131, 172, 14058, 1442, 1167, 1158, 4595, 1125, 1282, 15673, 1508, 7115, 1234, 1215, 13195, 9827, 1293, 1190, 2181, 1643, 4726, 1299, 29571, 1227, 488, 124, 126, 3012, 1317, 488, 125, 125, 2798, 488, 125, 123, 124, 131, 1300, 1233, 158, 124, 124, 1167, 26855, 1204, 163, 121, 23455, 30338, 1158, 4726, 1317, 6075, 3847, 1548, 10395, 29440, 1299, 1222, 1345, 180, 1671, 192, 1839, 180, 1125, 2460, 280, 3166, 1173, 1569, 1174, 5243, 1167, 1170, 10395, 2804, 1299, 1233, 149, 1125, 1202, 1399, 121, 1173, 1129, 1558, 12483, 31436, 1110, 14946, 1207, 4274, 1571, 9864, 1167, 1110, 31125, 13834, 1587, 1300, 1306, 1176, 1647, 9994, 2038, 1197, 21299, 9323, 1167, 5474, 11934, 2974, 13010, 172, 1720, 25465, 1197, 4092, 488, 125, 123, 124, 123, 1720, 25465, 23332, 1313, 1170, 7572, 1124, 1720, 25465, 9053, 1215, 1165, 3312, 1712, 1628, 2974, 1304, 15673, 12273, 4964, 4401, 1195, 1162, 15633, 1215, 2397, 1107, 3589, 146, 4401, 1195, 1162, 15633, 1215, 1198, 153, 150, 1628, 2974, 23170, 12273, 4964, 1197, 4092, 488, 125, 123, 124, 123, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24368, 1189, 5545, 1108, 13010, 172, 12354, 1124, 4160, 1215, 2460, 1109, 1507, 180, 21103, 4180, 1167, 4615, 3356, 1215, 1306, 9249, 1845, 1239, 179, 2433, 17656, 7146, 1313, 1170, 12574, 1186, 3028, 7572, 1124, 1167, 9053, 1215, 1282, 21927, 26108, 1219, 25615, 1186, 8826, 20857, 8691, 1234, 3594, 2011, 1835, 488, 125, 123, 124, 125, 1167, 488, 125, 123, 124, 130, 121, 1643, 3451, 5964, 1299, 20896, 1303, 1215, 1165, 3312, 1712, 1313, 1158, 4405, 1173, 1569, 5778, 2757, 488, 125, 123, 124, 128, 8155, 13010, 172, 1299, 14317, 1227, 7808, 1125, 2460, 1109, 1507, 180, 21103, 1217, 1810, 2487, 3203, 6622, 1104, 1508, 3594, 2011, 1186, 488, 125, 123, 124, 125, 119, 1338, 1740, 1837, 1188, 3862, 1125, 488, 125, 123, 124, 126, 7745, 31751, 8549, 1653, 185, 12118, 1540, 1221, 1125, 6400, 1315, 3655, 12698, 1125, 2698, 3315, 1617, 1548, 14919, 152, 1299, 1844, 1256, 1385, 1590, 1863, 23938, 1158, 9287, 1197, 4665, 1392, 1125, 1440, 10424, 12184, 12759, 185, 3693, 2968, 4936, 1909, 4634, 1167, 9424, 8291, 1197, 2063, 1395, 7887, 1357, 1666, 244, 1187, 1258, 27930, 1839, 5012, 2121, 2076, 1317, 1408, 1147, 1342, 1118, 2234, 1125, 2106, 13487, 1297, 3350, 16415, 7648, 1125, 1581, 28190, 1362, 2465, 1385, 1357, 1971, 180, 1987, 197, 1158, 5123, 1125, 1581, 18754, 1369, 1590, 1524, 1194, 19379, 196, 2086, 1125, 2425, 21039, 3559, 12614, 2627, 1219, 1153, 1303, 10809, 1188, 1281, 1982, 13000, 4855, 1188, 1189, 6999, 1357, 6600, 176, 1125, 6344, 1177, 4437, 1392, 1300, 5488, 1257, 1170, 14919, 8372, 1548, 14919, 12622, 1362, 8878, 1435, 14862, 14304, 119, 3611, 3144, 1283, 3173, 2733, 1107, 1469, 1561, 22567, 1318, 6127, 1125, 13822, 1188, 2063, 1395, 1435, 121, 1768, 13050, 3492, 1382, 1408, 1188, 2797, 1158, 25848, 1125, 30665, 4195, 1125, 1440, 5047, 1125, 4815, 24775, 2134, 3631, 7433, 1256, 1281, 14675, 1313, 1318, 4235, 1253, 1403, 175, 1277, 1188, 1158, 29560, 2585, 9002, 1510, 1104, 1167, 17137, 2306, 1508, 1125, 3591, 8732, 7849, 1741, 5532, 2038, 1197, 20857, 1194, 199, 2409, 4650, 4396, 1430, 23159, 6417, 5368, 7488, 22412, 1186, 3418, 5368, 119, 1222, 1345, 2461, 192, 133, 1233, 26363, 1163, 488, 125, 126, 3243, 1109, 1579, 1106, 1345, 2433, 1299, 8969, 1170, 488, 125, 127, 3141, 488, 125, 123, 124, 131, 1317, 14506, 7745, 2974, 1304, 15673, 7488, 22412, 1186, 4726, 23170, 3719, 1303, 1227, 13010, 172, 1299, 19830, 1303, 1170, 488, 130, 2822, 488, 125, 123, 124, 130, 121, 26184, 280, 1507, 180, 30480, 16390, 12354, 1124, 1439, 1167, 18532, 1158, 1114, 22729, 1167, 1282, 15673, 1299, 30631, 1215, 2397, 1107, 3589, 146, 1167, 1198, 153, 24819, 1548, 2131, 172, 14058, 1442, 1167, 1158, 4595, 1125, 1282, 15673, 1508, 7115, 1234, 1215, 13195, 9827, 1293, 1190, 2181, 1643, 4726, 1299, 29571, 1227, 488, 124, 126, 3012, 1317, 488, 125, 125, 2798, 488, 125, 123, 124, 131, 1300, 1233, 158, 124, 124, 1167, 26855, 1204, 163, 121, 23455, 30338, 1158, 4726, 1317, 6075, 3847, 1548, 10395, 29440, 1299, 1222, 1345, 180, 1671, 192, 1839, 180, 1125, 2460, 280, 3166, 1173, 1569, 1174, 5243, 1167, 1170, 10395, 2804, 1299, 1233, 149, 1125, 1202, 1399, 121, 1173, 1129, 1558, 12483, 31436, 1110, 14946, 1207, 4274, 1571, 9864, 1167, 1110, 31125, 13834, 1587, 1300, 1306, 1176, 1647, 9994, 2038, 1197, 21299, 9323, 1167, 5474, 11934, 2974, 13010, 172, 1720, 25465, 1197, 4092, 488, 125, 123, 124, 123, 1720, 25465, 23332, 1313, 1170, 7572, 1124, 1720, 25465, 9053, 1215, 1165, 3312, 1712, 1628, 2974, 1304, 15673, 12273, 4964, 4401, 1195, 1162, 15633, 1215, 2397, 1107, 3589, 146, 4401, 1195, 1162, 15633, 1215, 1198, 153, 150, 1628, 2974, 23170, 12273, 4964, 1197, 4092, 488, 125, 123, 124, 123, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 157, 1383, 21620, 31100, 12611, 244, 12603, 12611, 244, 12603, 1299, 1189, 4981, 24981, 4578, 14856, 2886, 11493, 5252, 1170, 488, 488, 130, 3012, 488, 124, 132, 131, 126, 1188, 4732, 1149, 4277, 1313, 1158, 3734, 1125, 16867, 10103, 1317, 28940, 30701, 1768, 28160, 1317, 8536, 22704, 172, 5725, 25886, 4096, 29515, 5878, 1424, 157, 1383, 21620, 12611, 244, 12603, 28160, 1317, 5545, 1125, 3203, 3293, 5542, 1257, 28940, 12781, 19730, 1314, 1167, 1539, 2993, 12258, 24844, 1317, 3285, 1125, 1561, 9245, 1408, 1125, 488, 126, 123, 123, 20825, 1186, 3453, 10041, 14856, 2886, 14662, 25255, 7662, 1408, 1125, 488, 124, 123, 123, 1663, 1297, 1768, 10809, 2445, 488, 127, 127, 20825, 1186, 3453, 10041, 17323, 1314, 1175, 124, 123, 25460, 1496, 1167, 488, 124, 127, 20825, 1186, 3453, 10041, 1270, 1142, 3556, 8705, 2607, 25460, 1576, 2093, 22507, 1207, 9973, 17718, 4578, 1346, 1594, 13466, 2368, 14186, 1188, 2069, 20825, 1186, 21594, 172, 27450, 1217, 4731, 1175, 27122, 1663, 1496, 1167, 488, 124, 125, 20825, 1186, 21594, 172, 6455, 14804, 1146, 4436, 8705, 2607, 25460, 1576, 1768, 1299, 16121, 1125, 1622, 8765, 1125, 1158, 21594, 172, 6455, 14804, 1146, 4436, 1186, 488, 125, 123, 123, 129, 1469, 1170, 5878, 1125, 6284, 15814, 10520, 186, 1388, 3681, 1500, 3365, 3618, 4766, 1561, 11521, 24142, 1317, 10710, 1200, 1345, 1845, 7216, 1222, 125, 14856, 2886, 3556, 116, 1186, 488, 125, 123, 124, 131, 119, 1527, 20861, 1227, 2424, 1186, 488, 125, 123, 125, 126, 1317, 5545, 1227, 12148, 3579, 186, 1198, 2724, 1307, 189, 29428, 5878, 23303, 3227, 1199, 1186, 21594, 172, 4873, 260, 6047, 126, 14856, 2886, 3556, 4023, 1686, 4924, 5277, 1424, 157, 1383, 21620, 12611, 244, 12603, 10809, 4593, 20825, 1186, 4924, 1227, 28940, 1118, 1835, 488, 125, 123, 123, 129, 1167, 488, 125, 123, 123, 131, 119, 2130, 21772, 1125, 1663, 12258, 14882, 1561, 3453, 5266, 1186, 4924, 5277, 1170, 1859, 1186, 1675, 1926, 2714, 10796, 1125, 2168, 1109, 1348, 8687, 7224, 1383, 9143, 4880, 1866, 14271, 488, 124, 120, 124, 4023, 5164, 13300, 1469, 1170, 28940, 1118, 1188, 1158, 21594, 172, 29354, 172, 488, 125, 123, 123, 130, 22008, 1317, 29186, 2036, 7823, 1125, 1816, 15142, 119, 1527, 10809, 1189, 3904, 2714, 1158, 17089, 1289, 1214, 8732, 26361, 29515, 19730, 1314, 11050, 192, 28940, 1118, 1424, 11631, 1123, 5844, 1125, 1867, 1715, 8968, 20704, 1593, 29440, 1175, 124, 116, 2232, 1352, 1262, 19495, 1257, 488, 125, 123, 123, 131, 9081, 11488, 1167, 16828, 5825, 29496, 1317, 28940, 1118, 8156, 1186, 3012, 488, 124, 132, 131, 126, 2105, 2836, 24981, 4578, 14856, 2886, 1354, 14601, 1125, 1282, 29741, 1123, 5844, 1125, 1867, 1715, 1104, 14601, 1125, 1282, 29741, 18553, 1165, 1234, 1124, 3728, 1126, 5811, 14601, 1125, 6389, 1333, 1119, 7348, 3743, 5012, 1310, 186, 14601, 1227, 10710, 1149, 1165, 7464, 1132, 14601, 1227, 6284, 15814, 10520, 186, 1125, 2068, 23595, 1150, 14601, 1227, 7879, 16373, 1121, 1716, 186, 5614, 1487, 21625, 197, 25088, 1198, 3622, 172, 14601, 1227, 7879, 3743, 5012, 1310, 186, 1200, 1119, 260, 190, 14601, 1227, 1867, 1715, 1104, 1643, 8649, 8270, 14601, 1125, 1282, 2029, 24323, 1748, 3290, 186, 14601, 1227, 1165, 12396, 10221, 1165, 3906, 12828, 14601, 1227, 12111, 6301, 1643, 1233, 1237, 4436, 32001, 1424, 32000, 20036, 1750, 1383, 21620, 31100, 12611, 244, 12603, 12611, 244, 12603, 1239, 1110, 4873, 2886, 2323, 4578, 7711, 1659, 9204, 1238, 6674, 488, 130, 119, 488, 124, 132, 131, 126, 1147, 4732, 1149, 4277, 1147, 1135, 16867, 10103, 6054, 1161, 4873, 7258, 2133, 15751, 1296, 1110, 6791, 8273, 1532, 1107, 1194, 2809, 1287, 9932, 1750, 1383, 21620, 12611, 244, 12603, 1602, 9273, 1147, 3337, 3259, 9166, 133, 4873, 4353, 8207, 13666, 1810, 1171, 1539, 1399, 1388, 3780, 1602, 9273, 2060, 488, 126, 123, 123, 15792, 1147, 1135, 4873, 2886, 2323, 1940, 10041, 119, 30718, 1792, 2095, 488, 124, 123, 123, 8603, 1297, 2133, 1602, 1959, 9273, 488, 127, 127, 15792, 1147, 1135, 19730, 1314, 1940, 10041, 1175, 124, 123, 15083, 116, 1171, 488, 124, 127, 15792, 1147, 1135, 1539, 1399, 1119, 1940, 10041, 24179, 1807, 15083, 4023, 1428, 4578, 12621, 1285, 1386, 1602, 9273, 2197, 15792, 1147, 1135, 21594, 172, 27450, 1217, 4731, 4419, 186, 15083, 116, 1171, 488, 124, 125, 15792, 1147, 1135, 21594, 172, 6455, 14804, 1146, 4436, 24179, 1807, 15083, 1576, 2133, 13372, 1135, 13191, 1773, 2314, 1161, 1135, 21594, 172, 6455, 14804, 1146, 4436, 1147, 488, 125, 123, 123, 129, 1324, 6284, 15814, 10520, 186, 7552, 2090, 29565, 1149, 1446, 8801, 7711, 1355, 10710, 1200, 1345, 1845, 9512, 1135, 4873, 2886, 2323, 2423, 10041, 116, 1147, 488, 125, 123, 124, 131, 119, 1386, 9553, 1163, 2489, 1226, 12148, 3579, 186, 1198, 2724, 1307, 189, 29428, 1151, 23303, 5878, 1147, 21594, 172, 4873, 260, 4497, 1107, 2886, 2323, 4823, 10041, 116, 1147, 488, 125, 123, 125, 126, 7885, 1967, 3390, 1750, 1383, 21620, 12611, 244, 12603, 1602, 9273, 4593, 15792, 1226, 1135, 4873, 192, 3781, 3390, 2910, 488, 125, 123, 123, 129, 1171, 488, 125, 123, 123, 131, 119, 3703, 30718, 1938, 15083, 1388, 3780, 3062, 1765, 3781, 3390, 18202, 1238, 7286, 488, 125, 127, 119, 488, 125, 123, 123, 129, 119, 1147, 1110, 19743, 3904, 4064, 1135, 2168, 1109, 18553, 1171, 29020, 9143, 3781, 3390, 1175, 124, 120, 124, 7264, 4023, 3780, 16169, 4873, 192, 1355, 1135, 488, 125, 123, 123, 130, 21594, 172, 29354, 172, 7368, 1147, 29186, 1810, 9096, 1147, 1110, 3904, 4064, 17089, 1289, 1575, 10177, 1105, 1627, 30490, 19730, 3382, 30490, 4873, 192, 5194, 1879, 1123, 5844, 1125, 1867, 1715, 1104, 23920, 7837, 20704, 4080, 1175, 124, 1688, 162, 8614, 133, 488, 125, 123, 123, 131, 9081, 1388, 1891, 9520, 1194, 26722, 14520, 12323, 2589, 1147, 4873, 192, 2056, 2589, 1147, 6674, 488, 124, 132, 131, 126, 1566, 1107, 2886, 2323, 4578, 7711, 1107, 7379, 4604, 1226, 11631, 1123, 5844, 1125, 1867, 1715, 1104, 7379, 4604, 1226, 11631, 18553, 1165, 1234, 1124, 3728, 1126, 5811, 7379, 4604, 1226, 11359, 1119, 7348, 3743, 5012, 1310, 186, 7379, 4604, 1226, 10710, 1149, 1165, 7464, 1132, 7379, 4604, 1226, 6284, 15814, 10520, 186, 1125, 2068, 23595, 1150, 7379, 4604, 1226, 7879, 16373, 1121, 1716, 186, 5614, 1487, 21625, 197, 25088, 1198, 3622, 172, 7379, 4604, 1226, 7879, 3743, 5012, 1310, 186, 1200, 1119, 260, 190, 7379, 4604, 1226, 1867, 1715, 1104, 1643, 8649, 8270, 7379, 4604, 1226, 1814, 24323, 1748, 3290, 186, 7379, 4604, 1226, 1165, 12396, 10221, 1165, 3906, 12828, 7379, 4604, 1226, 12111, 6301, 1643, 1233, 1237, 1119, 2036, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1750, 1383, 21620, 31100, 12611, 244, 12603, 12611, 244, 12603, 1239, 1110, 4873, 2886, 2323, 4578, 7711, 1659, 9204, 1238, 6674, 488, 130, 119, 488, 124, 132, 131, 126, 1147, 4732, 1149, 4277, 1147, 1135, 16867, 10103, 6054, 1161, 4873, 7258, 2133, 15751, 1296, 1110, 6791, 8273, 1532, 1107, 1194, 2809, 1287, 9932, 1750, 1383, 21620, 12611, 244, 12603, 1602, 9273, 1147, 3337, 3259, 9166, 133, 4873, 4353, 8207, 13666, 1810, 1171, 1539, 1399, 1388, 3780, 1602, 9273, 2060, 488, 126, 123, 123, 15792, 1147, 1135, 4873, 2886, 2323, 1940, 10041, 119, 30718, 1792, 2095, 488, 124, 123, 123, 8603, 1297, 2133, 1602, 1959, 9273, 488, 127, 127, 15792, 1147, 1135, 19730, 1314, 1940, 10041, 1175, 124, 123, 15083, 116, 1171, 488, 124, 127, 15792, 1147, 1135, 1539, 1399, 1119, 1940, 10041, 24179, 1807, 15083, 4023, 1428, 4578, 12621, 1285, 1386, 1602, 9273, 2197, 15792, 1147, 1135, 21594, 172, 27450, 1217, 4731, 4419, 186, 15083, 116, 1171, 488, 124, 125, 15792, 1147, 1135, 21594, 172, 6455, 14804, 1146, 4436, 24179, 1807, 15083, 1576, 2133, 13372, 1135, 13191, 1773, 2314, 1161, 1135, 21594, 172, 6455, 14804, 1146, 4436, 1147, 488, 125, 123, 123, 129, 1324, 6284, 15814, 10520, 186, 7552, 2090, 29565, 1149, 1446, 8801, 7711, 1355, 10710, 1200, 1345, 1845, 9512, 1135, 4873, 2886, 2323, 2423, 10041, 116, 1147, 488, 125, 123, 124, 131, 119, 1386, 9553, 1163, 2489, 1226, 12148, 3579, 186, 1198, 2724, 1307, 189, 29428, 1151, 23303, 5878, 1147, 21594, 172, 4873, 260, 4497, 1107, 2886, 2323, 4823, 10041, 116, 1147, 488, 125, 123, 125, 126, 7885, 1967, 3390, 1750, 1383, 21620, 12611, 244, 12603, 1602, 9273, 4593, 15792, 1226, 1135, 4873, 192, 3781, 3390, 2910, 488, 125, 123, 123, 129, 1171, 488, 125, 123, 123, 131, 119, 3703, 30718, 1938, 15083, 1388, 3780, 3062, 1765, 3781, 3390, 18202, 1238, 7286, 488, 125, 127, 119, 488, 125, 123, 123, 129, 119, 1147, 1110, 19743, 3904, 4064, 1135, 2168, 1109, 18553, 1171, 29020, 9143, 3781, 3390, 1175, 124, 120, 124, 7264, 4023, 3780, 16169, 4873, 192, 1355, 1135, 488, 125, 123, 123, 130, 21594, 172, 29354, 172, 7368, 1147, 29186, 1810, 9096, 1147, 1110, 3904, 4064, 17089, 1289, 1575, 10177, 1105, 1627, 30490, 19730, 3382, 30490, 4873, 192, 5194, 1879, 1123, 5844, 1125, 1867, 1715, 1104, 23920, 7837, 20704, 4080, 1175, 124, 1688, 162, 8614, 133, 488, 125, 123, 123, 131, 9081, 1388, 1891, 9520, 1194, 26722, 14520, 12323, 2589, 1147, 4873, 192, 2056, 2589, 1147, 6674, 488, 124, 132, 131, 126, 1566, 1107, 2886, 2323, 4578, 7711, 1107, 7379, 4604, 1226, 11631, 1123, 5844, 1125, 1867, 1715, 1104, 7379, 4604, 1226, 11631, 18553, 1165, 1234, 1124, 3728, 1126, 5811, 7379, 4604, 1226, 11359, 1119, 7348, 3743, 5012, 1310, 186, 7379, 4604, 1226, 10710, 1149, 1165, 7464, 1132, 7379, 4604, 1226, 6284, 15814, 10520, 186, 1125, 2068, 23595, 1150, 7379, 4604, 1226, 7879, 16373, 1121, 1716, 186, 5614, 1487, 21625, 197, 25088, 1198, 3622, 172, 7379, 4604, 1226, 7879, 3743, 5012, 1310, 186, 1200, 1119, 260, 190, 7379, 4604, 1226, 1867, 1715, 1104, 1643, 8649, 8270, 7379, 4604, 1226, 1814, 24323, 1748, 3290, 186, 7379, 4604, 1226, 1165, 12396, 10221, 1165, 3906, 12828, 7379, 4604, 1226, 12111, 6301, 1643, 1233, 1237, 1119, 2036, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 149, 1183, 1383, 24650, 178, 2850, 6256, 2589, 6674, 488, 125, 129, 119, 488, 124, 130, 129, 131, 1147, 2482, 22021, 1323, 12743, 4151, 488, 130, 119, 488, 124, 131, 127, 126, 1147, 22028, 1575, 116, 1463, 1151, 4950, 14548, 9663, 180, 11114, 2056, 1752, 1161, 1765, 6393, 5292, 8576, 29494, 1386, 11085, 1163, 22028, 1575, 1355, 1135, 7227, 1161, 4593, 17147, 1163, 5368, 1324, 1765, 15073, 17969, 119, 8957, 15849, 7905, 1765, 7738, 28216, 1388, 3780, 21605, 1311, 4042, 1366, 8727, 1147, 25017, 2460, 2554, 1361, 22889, 1171, 20369, 1156, 2667, 1296, 1110, 13175, 4957, 1324, 1765, 30248, 10036, 2460, 2554, 121, 25058, 3026, 2155, 20809, 120, 1438, 3162, 4006, 119, 1386, 1463, 10396, 4051, 1156, 1226, 1765, 19442, 1474, 11753, 1388, 3780, 2055, 1151, 17838, 2580, 5564, 1446, 1765, 1131, 17604, 1758, 1386, 10874, 10892, 7552, 2090, 1110, 4013, 8937, 1386, 1324, 175, 6828, 1446, 1135, 3434, 1324, 2460, 2554, 1171, 17032, 2127, 1110, 15549, 1324, 1765, 18021, 4793, 2992, 2554, 119, 8590, 11040, 121, 6226, 18838, 1789, 1940, 3434, 1163, 10935, 1202, 1857, 4834, 1799, 11219, 1110, 21266, 5192, 4571, 7745, 30017, 1171, 24650, 178, 2850, 15334, 1656, 6875, 4592, 10847, 2217, 29498, 1285, 1324, 3386, 8366, 1403, 6357, 4945, 31911, 1104, 1110, 24371, 2910, 2315, 1171, 12689, 121, 14320, 1492, 7164, 2025, 1281, 25355, 1171, 1341, 7905, 7459, 1226, 1704, 1161, 2182, 1163, 1432, 1468, 1147, 4159, 1163, 9472, 1789, 1116, 1700, 2181, 24650, 178, 2850, 2491, 31157, 1324, 1765, 4772, 1147, 24349, 2468, 1386, 13085, 1135, 2385, 9794, 1161, 1765, 22889, 1296, 2632, 1296, 3108, 1161, 1110, 2149, 1161, 2017, 4592, 1210, 1701, 22341, 1176, 178, 2850, 10939, 1110, 4238, 1161, 1907, 7427, 2064, 2979, 9750, 10209, 5006, 1147, 20313, 4120, 187, 1296, 1135, 5852, 1161, 1135, 4909, 26550, 3730, 119, 1386, 7905, 1110, 13175, 1147, 1135, 1204, 1494, 1105, 1673, 24650, 178, 2850, 22889, 22648, 1765, 31855, 1147, 1135, 11040, 1673, 24650, 178, 2850, 4571, 1147, 22028, 9236, 6226, 1704, 1161, 1765, 1492, 7164, 1463, 1281, 25355, 1386, 1177, 14852, 1163, 6721, 2468, 1386, 1710, 6688, 1110, 9164, 1324, 9901, 1301, 1124, 3212, 1446, 13184, 1386, 13196, 17958, 1589, 25929, 1226, 1135, 7834, 1161, 1135, 12917, 8509, 6129, 1765, 1907, 1147, 17612, 1386, 6136, 4459, 5253, 6267, 1163, 5960, 1147, 3887, 17134, 1147, 22028, 9236, 1405, 1614, 1765, 1559, 119, 2470, 5057, 3162, 28983, 119, 1386, 30381, 1446, 3434, 1163, 5697, 1238, 22537, 1765, 9000, 1388, 3780, 20883, 1135, 8046, 1161, 24650, 178, 2850, 1147, 1135, 2730, 1161, 31501, 1388, 5395, 1135, 1907, 1161, 1765, 6775, 1147, 488, 124, 131, 127, 126, 119, 1386, 1463, 1110, 4750, 1369, 1388, 3780, 1463, 1135, 11432, 4793, 2992, 2554, 1161, 2859, 152, 1130, 1585, 1192, 1903, 8221, 1418, 1171, 8590, 1248, 2955, 1175, 124, 130, 131, 129, 120, 124, 131, 129, 132, 1496, 1135, 1594, 1161, 23811, 1248, 2955, 121, 32001, 1424, 32000, 20036, 2278, 1183, 1383, 24650, 178, 2850, 24051, 1170, 488, 125, 129, 3012, 488, 124, 130, 129, 131, 1313, 1170, 2482, 22021, 1323, 4541, 1170, 488, 130, 2738, 488, 124, 131, 127, 126, 1188, 22028, 1214, 116, 1299, 1189, 14548, 8403, 14231, 12928, 1104, 2069, 6393, 6058, 1805, 1740, 3392, 1527, 7424, 1188, 22028, 1214, 1188, 19910, 1125, 1281, 2075, 2165, 8432, 1469, 1561, 25605, 1110, 249, 185, 2806, 2487, 1170, 6371, 7354, 1170, 3316, 1836, 12258, 1110, 6403, 244, 1170, 7252, 1125, 6596, 1313, 10319, 1125, 25017, 2460, 2554, 119, 1167, 2435, 6728, 1740, 172, 1186, 4083, 1309, 11553, 1469, 1594, 1962, 1285, 10036, 2460, 2554, 121, 8673, 1980, 237, 178, 244, 1125, 11400, 8687, 22206, 5305, 1527, 1299, 2205, 27441, 1256, 1909, 20006, 13432, 21360, 12258, 3618, 1189, 5564, 1309, 2435, 1110, 20349, 1594, 28391, 3365, 1110, 29246, 7581, 7552, 2136, 3458, 15223, 1527, 8135, 9830, 1568, 1125, 17569, 1369, 1469, 2460, 2554, 119, 1167, 1299, 27679, 1186, 15400, 1469, 1594, 5188, 24724, 6909, 8590, 11040, 121, 6982, 2782, 3360, 3925, 1318, 3453, 21943, 1188, 10935, 1202, 1857, 4834, 3342, 2180, 7085, 1318, 5625, 1125, 5192, 21266, 7745, 30017, 1167, 24650, 178, 2850, 2004, 8922, 1304, 1528, 2972, 2217, 244, 2527, 15069, 1346, 1469, 1318, 3828, 1223, 2145, 1356, 4355, 7328, 1440, 1309, 1207, 13261, 30654, 1835, 1158, 2315, 1167, 23879, 14691, 9770, 1548, 1392, 26921, 2004, 1913, 3362, 3366, 1167, 1527, 1299, 12749, 4753, 1256, 6113, 1304, 4814, 1125, 2022, 2282, 1186, 4159, 1256, 11499, 1964, 1116, 1700, 1298, 3847, 24650, 178, 2850, 2368, 6147, 172, 3042, 1469, 1561, 4446, 1188, 31282, 2585, 1527, 1110, 29693, 1207, 5031, 1125, 1561, 23998, 1167, 2072, 4421, 2335, 4093, 2510, 5610, 5997, 5989, 22341, 1176, 178, 2850, 4212, 3713, 1125, 2658, 1188, 3831, 18878, 2567, 1125, 12048, 1281, 21417, 1188, 1645, 2094, 1856, 5852, 1197, 17941, 5068, 1768, 1251, 1299, 12749, 17663, 1317, 5545, 1125, 1158, 3385, 1204, 1494, 1105, 1673, 24650, 178, 17463, 1186, 26349, 1313, 1158, 3385, 11040, 1673, 24650, 178, 2850, 1125, 22028, 4654, 6982, 1158, 23590, 2335, 1125, 1909, 3202, 30348, 1527, 1281, 25183, 10205, 1188, 6721, 2585, 1527, 18764, 1318, 1835, 16204, 1469, 9901, 1301, 1124, 3212, 1125, 1357, 1527, 15363, 1197, 4105, 2007, 11106, 2891, 3649, 1256, 1158, 26053, 1227, 27214, 8509, 16274, 1281, 7751, 1186, 17612, 1527, 1110, 2227, 3280, 15367, 1197, 4293, 24019, 1256, 29029, 1313, 27272, 14052, 1188, 22028, 4654, 4511, 1594, 5464, 119, 2750, 1318, 17977, 1125, 3171, 15223, 1527, 1281, 9830, 1154, 1197, 2385, 5291, 1256, 2368, 26663, 1125, 1158, 4351, 1125, 1909, 18682, 12258, 15458, 1158, 3837, 1125, 24650, 178, 2850, 1313, 17902, 1125, 21159, 14179, 7778, 27404, 1561, 27688, 1186, 488, 124, 131, 127, 126, 119, 1527, 3031, 2709, 4587, 1369, 12258, 1299, 1170, 5188, 3130, 1450, 1125, 488, 1167, 1125, 8590, 1248, 2955, 1175, 124, 130, 131, 129, 120, 124, 131, 129, 132, 1496, 1170, 8658, 1125, 23811, 1248, 2955, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2278, 1183, 1383, 24650, 178, 2850, 24051, 1170, 488, 125, 129, 3012, 488, 124, 130, 129, 131, 1313, 1170, 2482, 22021, 1323, 4541, 1170, 488, 130, 2738, 488, 124, 131, 127, 126, 1188, 22028, 1214, 116, 1299, 1189, 14548, 8403, 14231, 12928, 1104, 2069, 6393, 6058, 1805, 1740, 3392, 1527, 7424, 1188, 22028, 1214, 1188, 19910, 1125, 1281, 2075, 2165, 8432, 1469, 1561, 25605, 1110, 249, 185, 2806, 2487, 1170, 6371, 7354, 1170, 3316, 1836, 12258, 1110, 6403, 244, 1170, 7252, 1125, 6596, 1313, 10319, 1125, 25017, 2460, 2554, 119, 1167, 2435, 6728, 1740, 172, 1186, 4083, 1309, 11553, 1469, 1594, 1962, 1285, 10036, 2460, 2554, 121, 8673, 1980, 237, 178, 244, 1125, 11400, 8687, 22206, 5305, 1527, 1299, 2205, 27441, 1256, 1909, 20006, 13432, 21360, 12258, 3618, 1189, 5564, 1309, 2435, 1110, 20349, 1594, 28391, 3365, 1110, 29246, 7581, 7552, 2136, 3458, 15223, 1527, 8135, 9830, 1568, 1125, 17569, 1369, 1469, 2460, 2554, 119, 1167, 1299, 27679, 1186, 15400, 1469, 1594, 5188, 24724, 6909, 8590, 11040, 121, 6982, 2782, 3360, 3925, 1318, 3453, 21943, 1188, 10935, 1202, 1857, 4834, 3342, 2180, 7085, 1318, 5625, 1125, 5192, 21266, 7745, 30017, 1167, 24650, 178, 2850, 2004, 8922, 1304, 1528, 2972, 2217, 244, 2527, 15069, 1346, 1469, 1318, 3828, 1223, 2145, 1356, 4355, 7328, 1440, 1309, 1207, 13261, 30654, 1835, 1158, 2315, 1167, 23879, 14691, 9770, 1548, 1392, 26921, 2004, 1913, 3362, 3366, 1167, 1527, 1299, 12749, 4753, 1256, 6113, 1304, 4814, 1125, 2022, 2282, 1186, 4159, 1256, 11499, 1964, 1116, 1700, 1298, 3847, 24650, 178, 2850, 2368, 6147, 172, 3042, 1469, 1561, 4446, 1188, 31282, 2585, 1527, 1110, 29693, 1207, 5031, 1125, 1561, 23998, 1167, 2072, 4421, 2335, 4093, 2510, 5610, 5997, 5989, 22341, 1176, 178, 2850, 4212, 3713, 1125, 2658, 1188, 3831, 18878, 2567, 1125, 12048, 1281, 21417, 1188, 1645, 2094, 1856, 5852, 1197, 17941, 5068, 1768, 1251, 1299, 12749, 17663, 1317, 5545, 1125, 1158, 3385, 1204, 1494, 1105, 1673, 24650, 178, 17463, 1186, 26349, 1313, 1158, 3385, 11040, 1673, 24650, 178, 2850, 1125, 22028, 4654, 6982, 1158, 23590, 2335, 1125, 1909, 3202, 30348, 1527, 1281, 25183, 10205, 1188, 6721, 2585, 1527, 18764, 1318, 1835, 16204, 1469, 9901, 1301, 1124, 3212, 1125, 1357, 1527, 15363, 1197, 4105, 2007, 11106, 2891, 3649, 1256, 1158, 26053, 1227, 27214, 8509, 16274, 1281, 7751, 1186, 17612, 1527, 1110, 2227, 3280, 15367, 1197, 4293, 24019, 1256, 29029, 1313, 27272, 14052, 1188, 22028, 4654, 4511, 1594, 5464, 119, 2750, 1318, 17977, 1125, 3171, 15223, 1527, 1281, 9830, 1154, 1197, 2385, 5291, 1256, 2368, 26663, 1125, 1158, 4351, 1125, 1909, 18682, 12258, 15458, 1158, 3837, 1125, 24650, 178, 2850, 1313, 17902, 1125, 21159, 14179, 7778, 27404, 1561, 27688, 1186, 488, 124, 131, 127, 126, 119, 1527, 3031, 2709, 4587, 1369, 12258, 1299, 1170, 5188, 3130, 1450, 1125, 488, 1167, 1125, 8590, 1248, 2955, 1175, 124, 130, 131, 129, 120, 124, 131, 129, 132, 1496, 1170, 8658, 1125, 23811, 1248, 2955, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 4515, 1239, 1110, 16375, 13010, 172, 8482, 1427, 2127, 3337, 1350, 7288, 190, 18840, 1147, 488, 124, 132, 131, 128, 1449, 1198, 9981, 7304, 9249, 1306, 1187, 7497, 6043, 1350, 7288, 190, 1393, 7455, 3026, 19839, 1449, 6597, 14967, 1226, 8462, 1171, 4075, 18623, 1238, 1222, 1478, 3291, 5121, 7745, 15930, 3616, 23509, 1161, 1165, 1276, 1203, 20260, 1602, 2023, 30505, 1171, 1135, 4013, 19878, 1500, 1161, 1135, 5411, 1183, 1269, 10616, 3517, 1144, 9061, 1147, 4812, 1522, 29556, 1789, 9020, 10505, 121, 1459, 5516, 1161, 1624, 4985, 190, 1163, 1191, 1134, 1659, 1799, 3630, 1209, 174, 6759, 120, 124, 119, 1110, 12390, 15389, 8825, 26382, 2182, 3251, 27093, 1171, 1683, 6571, 8573, 1657, 3268, 1135, 1169, 1554, 1161, 1165, 1276, 1203, 20260, 4185, 1393, 6762, 2060, 1449, 8865, 9106, 119, 488, 1212, 4145, 1135, 3224, 3075, 1659, 12492, 10868, 1731, 2771, 2133, 2712, 3016, 1163, 1803, 9564, 1161, 1209, 174, 6759, 120, 124, 119, 1758, 1602, 1375, 6743, 2023, 2625, 12305, 2979, 8865, 9106, 1526, 1803, 1765, 11024, 1238, 18684, 1209, 174, 6759, 120, 124, 14969, 11993, 1923, 1238, 13220, 2468, 2293, 25730, 29650, 24326, 1518, 1119, 255, 119, 1110, 24452, 9717, 1432, 9965, 1163, 3987, 7190, 18910, 1789, 3921, 119, 1209, 174, 6759, 120, 124, 1583, 9713, 1641, 9686, 4792, 1895, 23788, 1171, 1799, 1583, 6135, 3168, 1163, 30901, 8865, 9106, 119, 8957, 2463, 3973, 12954, 6774, 1537, 4656, 2142, 4981, 1238, 13220, 1147, 5516, 1161, 1135, 1578, 13161, 8825, 1240, 7745, 31751, 1875, 1193, 24326, 1518, 1119, 255, 1239, 1110, 16375, 3875, 178, 6870, 2141, 1938, 25625, 1324, 5849, 4800, 1569, 7837, 1285, 24380, 1324, 7888, 1238, 1135, 2659, 1163, 3875, 1553, 5182, 9618, 2064, 29650, 24326, 7634, 1104, 26031, 1324, 1110, 9724, 10259, 1156, 1147, 1110, 22824, 16770, 2000, 4300, 1104, 1355, 20801, 1758, 1894, 1487, 190, 29650, 1120, 2036, 1200, 2078, 1302, 2994, 11719, 3545, 1110, 1936, 2468, 2293, 1463, 5752, 1656, 1135, 7021, 1163, 2067, 27667, 29650, 24326, 2491, 3887, 9417, 1302, 1110, 6884, 1239, 1138, 1353, 15041, 1238, 2019, 3022, 7742, 1171, 26243, 11917, 9668, 1135, 7021, 2488, 1758, 29650, 24326, 1239, 6641, 2064, 1492, 4923, 1149, 1135, 16152, 1163, 6907, 1168, 1457, 6429, 1475, 17660, 29650, 24326, 1239, 1375, 29630, 1553, 22757, 1149, 2067, 3228, 1163, 2583, 1147, 5775, 1161, 20801, 2293, 2676, 11585, 1324, 28524, 1110, 10846, 18835, 1324, 21767, 27594, 2351, 1110, 4013, 26305, 3893, 1201, 1446, 2067, 3691, 1171, 1579, 1704, 3575, 121, 29650, 24326, 1694, 3241, 190, 1171, 1135, 3018, 9707, 1163, 7148, 2468, 2067, 6404, 1936, 1239, 15978, 2067, 133, 12576, 2876, 2293, 1694, 3241, 16916, 161, 15637, 31777, 9323, 1171, 22874, 1194, 23429, 11992, 1449, 1645, 1587, 5940, 10817, 1720, 25465, 1446, 1135, 488, 124, 132, 131, 123, 2523, 17696, 7261, 6144, 21784, 1720, 25465, 6446, 32001, 1424, 32000, 20036, 24368, 1189, 13010, 172, 17911, 14317, 1186, 3203, 1350, 7288, 19018, 1186, 488, 124, 132, 131, 128, 1215, 1198, 9981, 7304, 9249, 1306, 1187, 7497, 12825, 1350, 7288, 190, 1508, 11041, 12112, 1234, 1215, 6597, 14967, 1186, 18623, 20664, 1167, 6155, 1300, 1222, 1478, 3291, 5121, 22341, 1234, 11125, 12616, 17244, 1197, 1165, 1276, 1203, 20260, 1110, 1913, 13390, 5563, 1167, 1207, 3458, 19878, 1701, 1227, 5411, 1183, 21735, 1232, 2543, 2089, 2743, 1313, 21309, 1188, 6676, 1125, 1964, 30107, 1334, 1675, 1187, 3850, 4511, 1158, 3370, 1125, 5028, 19602, 1188, 1191, 1134, 1550, 11186, 3342, 2180, 1129, 1209, 174, 6759, 120, 124, 119, 19846, 1171, 21926, 1208, 2820, 1378, 1964, 7115, 1199, 1318, 10979, 1188, 1158, 2768, 27093, 1167, 2968, 6571, 121, 3350, 15702, 1309, 1207, 8014, 3525, 1227, 3937, 1165, 1276, 1203, 20260, 1508, 4766, 1186, 2274, 1215, 8865, 9106, 119, 2682, 1109, 13503, 1170, 10321, 1186, 13571, 1170, 26694, 10868, 1731, 2771, 28952, 12459, 1125, 1281, 19977, 7916, 16939, 174, 6759, 120, 124, 119, 1357, 6739, 1382, 2743, 1913, 2625, 2806, 2567, 1309, 8865, 9106, 1288, 10633, 4271, 1158, 2274, 1300, 2399, 121, 1209, 174, 6759, 120, 124, 24254, 1215, 15548, 1300, 14070, 2585, 2399, 1844, 1158, 6666, 1125, 29650, 24326, 1518, 1119, 255, 119, 1318, 6018, 5921, 17273, 1167, 6682, 7975, 1369, 1188, 1667, 14978, 1125, 3987, 7190, 4511, 1594, 3921, 119, 1209, 174, 6759, 120, 124, 22813, 1164, 1154, 1996, 1188, 1996, 1207, 26998, 18186, 1167, 5138, 19290, 1258, 6231, 1125, 8920, 1188, 5581, 1125, 8865, 9106, 119, 2487, 1207, 21863, 4473, 193, 3973, 16227, 3839, 1125, 4271, 1170, 6844, 1300, 14070, 1188, 1158, 3370, 1227, 24984, 1171, 21926, 1208, 1240, 7745, 31751, 1424, 153, 1193, 24326, 1518, 1119, 255, 1299, 1318, 2609, 1172, 1774, 12273, 4964, 1856, 1207, 16085, 30911, 2312, 3670, 20335, 13656, 1469, 1909, 1675, 1429, 1300, 1170, 8052, 1125, 19543, 1553, 1814, 11887, 29650, 24326, 3664, 1439, 1170, 8052, 2519, 4875, 1152, 2657, 1277, 2335, 28794, 1189, 1221, 7966, 1357, 1158, 20454, 3635, 3207, 1440, 1357, 1253, 1977, 1196, 1931, 6768, 29650, 1120, 2036, 6487, 7959, 1816, 2076, 29808, 3672, 1189, 3285, 2585, 2399, 4051, 1370, 1215, 1158, 10012, 1188, 1561, 8632, 119, 29650, 24326, 1281, 5931, 3042, 2803, 11471, 4810, 1126, 9505, 1414, 1123, 2797, 5860, 1188, 28347, 1167, 1281, 10452, 1667, 3090, 2079, 1158, 10012, 1188, 4759, 5685, 29650, 24326, 21489, 1158, 8077, 119, 5367, 18479, 1158, 5562, 1112, 1186, 6534, 4314, 1723, 5123, 28794, 119, 29650, 24326, 4249, 1382, 9814, 1303, 2841, 20704, 1199, 1158, 6425, 1256, 15101, 1186, 3691, 1304, 7615, 2399, 19619, 1469, 4566, 9721, 1318, 25305, 18074, 1571, 25644, 1110, 1205, 1660, 1473, 1188, 3458, 26305, 184, 5302, 1125, 1594, 16041, 1167, 3888, 1571, 27316, 31208, 29650, 24326, 20176, 1126, 3042, 1167, 1170, 2854, 5464, 1245, 1188, 1158, 25403, 2585, 2797, 1561, 5971, 1282, 1383, 16317, 1257, 13865, 1110, 20074, 3155, 244, 1617, 13776, 15615, 1272, 9323, 1167, 5474, 2093, 23429, 15633, 1215, 1645, 1587, 5940, 10817, 1720, 25465, 1197, 4092, 488, 124, 132, 131, 123, 3052, 1738, 7261, 6144, 21784, 1628, 2974, 13010, 172, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24368, 1189, 13010, 172, 17911, 14317, 1186, 3203, 1350, 7288, 19018, 1186, 488, 124, 132, 131, 128, 1215, 1198, 9981, 7304, 9249, 1306, 1187, 7497, 12825, 1350, 7288, 190, 1508, 11041, 12112, 1234, 1215, 6597, 14967, 1186, 18623, 20664, 1167, 6155, 1300, 1222, 1478, 3291, 5121, 22341, 1234, 11125, 12616, 17244, 1197, 1165, 1276, 1203, 20260, 1110, 1913, 13390, 5563, 1167, 1207, 3458, 19878, 1701, 1227, 5411, 1183, 21735, 1232, 2543, 2089, 2743, 1313, 21309, 1188, 6676, 1125, 1964, 30107, 1334, 1675, 1187, 3850, 4511, 1158, 3370, 1125, 5028, 19602, 1188, 1191, 1134, 1550, 11186, 3342, 2180, 1129, 1209, 174, 6759, 120, 124, 119, 19846, 1171, 21926, 1208, 2820, 1378, 1964, 7115, 1199, 1318, 10979, 1188, 1158, 2768, 27093, 1167, 2968, 6571, 121, 3350, 15702, 1309, 1207, 8014, 3525, 1227, 3937, 1165, 1276, 1203, 20260, 1508, 4766, 1186, 2274, 1215, 8865, 9106, 119, 2682, 1109, 13503, 1170, 10321, 1186, 13571, 1170, 26694, 10868, 1731, 2771, 28952, 12459, 1125, 1281, 19977, 7916, 16939, 174, 6759, 120, 124, 119, 1357, 6739, 1382, 2743, 1913, 2625, 2806, 2567, 1309, 8865, 9106, 1288, 10633, 4271, 1158, 2274, 1300, 2399, 121, 1209, 174, 6759, 120, 124, 24254, 1215, 15548, 1300, 14070, 2585, 2399, 1844, 1158, 6666, 1125, 29650, 24326, 1518, 1119, 255, 119, 1318, 6018, 5921, 17273, 1167, 6682, 7975, 1369, 1188, 1667, 14978, 1125, 3987, 7190, 4511, 1594, 3921, 119, 1209, 174, 6759, 120, 124, 22813, 1164, 1154, 1996, 1188, 1996, 1207, 26998, 18186, 1167, 5138, 19290, 1258, 6231, 1125, 8920, 1188, 5581, 1125, 8865, 9106, 119, 2487, 1207, 21863, 4473, 193, 3973, 16227, 3839, 1125, 4271, 1170, 6844, 1300, 14070, 1188, 1158, 3370, 1227, 24984, 1171, 21926, 1208, 1240, 7745, 31751, 1424, 153, 1193, 24326, 1518, 1119, 255, 1299, 1318, 2609, 1172, 1774, 12273, 4964, 1856, 1207, 16085, 30911, 2312, 3670, 20335, 13656, 1469, 1909, 1675, 1429, 1300, 1170, 8052, 1125, 19543, 1553, 1814, 11887, 29650, 24326, 3664, 1439, 1170, 8052, 2519, 4875, 1152, 2657, 1277, 2335, 28794, 1189, 1221, 7966, 1357, 1158, 20454, 3635, 3207, 1440, 1357, 1253, 1977, 1196, 1931, 6768, 29650, 1120, 2036, 6487, 7959, 1816, 2076, 29808, 3672, 1189, 3285, 2585, 2399, 4051, 1370, 1215, 1158, 10012, 1188, 1561, 8632, 119, 29650, 24326, 1281, 5931, 3042, 2803, 11471, 4810, 1126, 9505, 1414, 1123, 2797, 5860, 1188, 28347, 1167, 1281, 10452, 1667, 3090, 2079, 1158, 10012, 1188, 4759, 5685, 29650, 24326, 21489, 1158, 8077, 119, 5367, 18479, 1158, 5562, 1112, 1186, 6534, 4314, 1723, 5123, 28794, 119, 29650, 24326, 4249, 1382, 9814, 1303, 2841, 20704, 1199, 1158, 6425, 1256, 15101, 1186, 3691, 1304, 7615, 2399, 19619, 1469, 4566, 9721, 1318, 25305, 18074, 1571, 25644, 1110, 1205, 1660, 1473, 1188, 3458, 26305, 184, 5302, 1125, 1594, 16041, 1167, 3888, 1571, 27316, 31208, 29650, 24326, 20176, 1126, 3042, 1167, 1170, 2854, 5464, 1245, 1188, 1158, 25403, 2585, 2797, 1561, 5971, 1282, 1383, 16317, 1257, 13865, 1110, 20074, 3155, 244, 1617, 13776, 15615, 1272, 9323, 1167, 5474, 2093, 23429, 15633, 1215, 1645, 1587, 5940, 10817, 1720, 25465, 1197, 4092, 488, 124, 132, 131, 123, 3052, 1738, 7261, 6144, 21784, 1628, 2974, 13010, 172, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12616, 1163, 1620, 19727, 1286, 1299, 1189, 1677, 1356, 2726, 5788, 15161, 1125, 2382, 1780, 1255, 7684, 9566, 244, 1125, 16885, 11347, 1460, 1257, 12116, 128, 26692, 129, 154, 124, 129, 115, 154, 147, 116, 125, 213, 127, 147, 125, 154, 1362, 12116, 128, 26692, 129, 115, 16282, 154, 147, 116, 124, 131, 213, 128, 147, 125, 154, 1388, 7062, 4058, 1167, 12238, 1314, 1194, 3466, 28606, 2069, 2604, 6235, 16219, 2137, 1257, 1158, 1163, 1620, 19727, 1286, 120, 124, 124, 488, 221, 1167, 1158, 1163, 1620, 19727, 1286, 120, 124, 127, 488, 221, 121, 1643, 1163, 1620, 19727, 1286, 1281, 5209, 1313, 1158, 18691, 1125, 27058, 7684, 9566, 1303, 1167, 1915, 1823, 5428, 1303, 1313, 1158, 3020, 1856, 1677, 8464, 24950, 1389, 2287, 1313, 1170, 15985, 1369, 4972, 1174, 12657, 1180, 244, 1167, 1170, 3271, 2162, 121, 1768, 1110, 1913, 7803, 244, 1313, 1158, 3734, 1125, 6353, 188, 25093, 1317, 8030, 1125, 1158, 17198, 7778, 1167, 1313, 1158, 9245, 1125, 1165, 5853, 16101, 5639, 1125, 1165, 5853, 16101, 2133, 1580, 1285, 1313, 1170, 21836, 1125, 1248, 1879, 10406, 1186, 7892, 1214, 10803, 1163, 1620, 19727, 1286, 1110, 1913, 1805, 2845, 1256, 1158, 3453, 2768, 1186, 488, 124, 131, 131, 123, 1256, 1318, 19801, 1419, 1186, 2605, 12945, 5650, 1300, 23684, 1125, 1204, 1770, 119, 6365, 1125, 1158, 2032, 1902, 1125, 29020, 2719, 1696, 1388, 26630, 1313, 1170, 22002, 1177, 7656, 2895, 1163, 1620, 19727, 1286, 1188, 4866, 5345, 24950, 16748, 1299, 22590, 1856, 1189, 1147, 4818, 13671, 15171, 1125, 1158, 2102, 1833, 1348, 1227, 22002, 1177, 7656, 28353, 1109, 7271, 121, 1808, 1116, 1274, 1312, 31153, 2097, 1309, 1207, 11825, 1925, 1945, 2457, 1256, 1158, 4971, 1197, 4227, 1813, 8187, 2457, 1125, 1158, 1747, 1292, 1461, 4167, 119, 1167, 1318, 16557, 1469, 12436, 1125, 4592, 1110, 1186, 1844, 14367, 4568, 3871, 187, 13235, 1167, 1170, 25577, 1197, 11749, 25201, 1390, 2252, 1227, 5118, 21809, 1177, 2388, 1440, 25065, 3713, 1408, 10330, 1309, 1170, 22002, 11990, 26639, 1299, 6581, 244, 1188, 12436, 1125, 4592, 1388, 2330, 1195, 1214, 1227, 27058, 1194, 3562, 1163, 1620, 19727, 1286, 1299, 4701, 13409, 1313, 1207, 4646, 190, 9036, 1259, 4751, 2097, 1256, 25970, 1170, 29473, 1125, 5788, 15161, 1125, 2382, 1780, 1255, 7684, 9566, 244, 3835, 3441, 7002, 116, 1170, 1408, 12242, 3502, 1643, 5219, 1125, 1594, 3598, 12116, 9440, 180, 1362, 12116, 154, 9440, 180, 154, 125, 3835, 9440, 116, 1299, 1125, 488, 123, 119, 131, 126, 1175, 128, 122, 129, 1576, 1643, 1225, 2334, 1286, 11404, 1170, 29473, 1170, 2864, 12242, 244, 1469, 1189, 3598, 1165, 9440, 1125, 488, 124, 119, 128, 1175, 132, 122, 129, 4023, 20634, 1167, 20117, 20544, 11052, 18560, 3835, 3441, 7002, 116, 22476, 28078, 1292, 1286, 2911, 196, 2966, 1286, 1703, 1677, 8464, 1747, 26824, 1180, 1142, 15161, 10423, 25201, 1390, 8985, 1186, 16393, 1356, 3093, 2278, 2334, 1286, 1853, 3004, 1255, 1141, 1286, 1703, 1677, 8464, 1125, 5788, 15161, 1125, 2382, 1780, 1255, 27550, 2497, 1469, 1151, 1764, 15806, 5848, 30394, 1230, 1167, 18301, 195, 1591, 1142, 15161, 25553, 19374, 1404, 1396, 3502, 3079, 22402, 2519, 25243, 1125, 30394, 1230, 1125, 22002, 1139, 1642, 1196, 9994, 2624, 5825, 30490, 1180, 1142, 15161, 3050, 3881, 18177, 1505, 2617, 30919, 8464, 488, 1249, 2705, 179, 3622, 1460, 1628, 1142, 15161, 1125, 2382, 1780, 1255, 1505, 1132, 1780, 1255, 1175, 1577, 8464, 9838, 1109, 8464, 12688, 21469, 1189, 3601, 32001, 1424, 32000, 20036, 1853, 1383, 2719, 1121, 1286, 1239, 1110, 1677, 1107, 2726, 7684, 189, 1589, 2382, 1780, 1255, 5788, 15161, 1324, 1135, 16838, 18665, 8118, 12116, 128, 26692, 129, 154, 124, 129, 115, 154, 147, 116, 125, 213, 127, 147, 125, 154, 1329, 12116, 128, 26692, 129, 115, 16282, 154, 147, 116, 124, 131, 213, 128, 147, 125, 154, 1388, 4335, 4264, 1171, 31637, 1194, 10517, 1393, 2197, 29293, 22072, 3088, 133, 1163, 1620, 19727, 1286, 120, 124, 124, 488, 221, 1171, 1163, 1620, 19727, 1286, 120, 124, 127, 488, 221, 121, 29020, 2719, 1121, 1286, 1239, 3218, 1147, 7684, 189, 1589, 1440, 1160, 1382, 1148, 1171, 1526, 1280, 3218, 1147, 3020, 1296, 1151, 17121, 1162, 1677, 5254, 1147, 2367, 1174, 12657, 7617, 2736, 29191, 1171, 3271, 2162, 121, 1988, 1602, 2023, 8395, 1147, 1135, 6353, 188, 25093, 6054, 1147, 24986, 23324, 1171, 1147, 1135, 1165, 5853, 16101, 5397, 1857, 6289, 1165, 5853, 16101, 2133, 1580, 1285, 1248, 1879, 1468, 21705, 11610, 18898, 1383, 2719, 1121, 1286, 1463, 1940, 9517, 1147, 488, 124, 131, 131, 123, 1226, 1151, 19801, 1419, 1147, 12677, 12906, 1238, 1135, 3122, 1126, 1161, 1204, 1770, 119, 6289, 1135, 8046, 1161, 29020, 2719, 1696, 1388, 15513, 1147, 12047, 25283, 1194, 3681, 8995, 1255, 2059, 3913, 2228, 1427, 1163, 1620, 19727, 1286, 1239, 8261, 1110, 3217, 18519, 13671, 1147, 1135, 1115, 12167, 193, 1406, 1161, 18534, 12047, 2670, 16909, 1892, 1112, 7017, 1410, 31153, 1146, 1296, 179, 2629, 1449, 1135, 11825, 1220, 1147, 1135, 4971, 1161, 3756, 194, 1128, 1201, 18445, 1747, 1292, 1461, 4167, 119, 1171, 16557, 1324, 1281, 2554, 2078, 6167, 13670, 1135, 19158, 1171, 9180, 7837, 1161, 1135, 4541, 1124, 1361, 13389, 18892, 16219, 1346, 5096, 1413, 5647, 3120, 1792, 10330, 2095, 6184, 25283, 2043, 24005, 1163, 1281, 2554, 2078, 8273, 3207, 19922, 8173, 24367, 1383, 2719, 1121, 1286, 1239, 5298, 2629, 1147, 9036, 1259, 14108, 4646, 1430, 1163, 4765, 1135, 2481, 3516, 13972, 2382, 1780, 1255, 5788, 15161, 7684, 18177, 3835, 3441, 7002, 116, 1113, 6132, 14835, 12116, 9440, 180, 1329, 12116, 154, 9440, 180, 154, 125, 3835, 9440, 116, 17167, 1239, 488, 123, 121, 131, 126, 1175, 128, 122, 129, 1576, 18439, 1286, 13601, 1135, 4674, 3516, 13972, 1113, 1731, 1324, 1110, 1165, 9440, 17167, 1161, 488, 124, 121, 128, 1175, 132, 122, 129, 4023, 21320, 1959, 1194, 12225, 1589, 3760, 3052, 1732, 3835, 3441, 7002, 1688, 140, 28078, 1292, 1286, 2911, 196, 2966, 1286, 1323, 10423, 1747, 26824, 1180, 1142, 15161, 1677, 5254, 13389, 18892, 8948, 1149, 1147, 16393, 1107, 3093, 2278, 2334, 1286, 1853, 3004, 1255, 1141, 1286, 1323, 26679, 2382, 1780, 1255, 5788, 15161, 1677, 5254, 1324, 15806, 5848, 30394, 1230, 1171, 18301, 195, 1591, 1142, 15161, 25553, 19374, 4675, 1589, 1151, 1231, 1297, 3079, 6275, 1599, 1226, 9731, 2420, 30394, 1230, 7239, 1238, 25283, 6034, 6911, 14520, 30490, 1180, 1142, 15161, 3050, 3881, 18177, 1505, 3207, 19886, 1276, 1121, 179, 3622, 1146, 1677, 5254, 1505, 1132, 1780, 1255, 5788, 15161, 1505, 1132, 1780, 1255, 1175, 1577, 5254, 9838, 4975, 1132, 9463, 2470, 1110, 2320, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1853, 1383, 2719, 1121, 1286, 1239, 1110, 1677, 1107, 2726, 7684, 189, 1589, 2382, 1780, 1255, 5788, 15161, 1324, 1135, 16838, 18665, 8118, 12116, 128, 26692, 129, 154, 124, 129, 115, 154, 147, 116, 125, 213, 127, 147, 125, 154, 1329, 12116, 128, 26692, 129, 115, 16282, 154, 147, 116, 124, 131, 213, 128, 147, 125, 154, 1388, 4335, 4264, 1171, 31637, 1194, 10517, 1393, 2197, 29293, 22072, 3088, 133, 1163, 1620, 19727, 1286, 120, 124, 124, 488, 221, 1171, 1163, 1620, 19727, 1286, 120, 124, 127, 488, 221, 121, 29020, 2719, 1121, 1286, 1239, 3218, 1147, 7684, 189, 1589, 1440, 1160, 1382, 1148, 1171, 1526, 1280, 3218, 1147, 3020, 1296, 1151, 17121, 1162, 1677, 5254, 1147, 2367, 1174, 12657, 7617, 2736, 29191, 1171, 3271, 2162, 121, 1988, 1602, 2023, 8395, 1147, 1135, 6353, 188, 25093, 6054, 1147, 24986, 23324, 1171, 1147, 1135, 1165, 5853, 16101, 5397, 1857, 6289, 1165, 5853, 16101, 2133, 1580, 1285, 1248, 1879, 1468, 21705, 11610, 18898, 1383, 2719, 1121, 1286, 1463, 1940, 9517, 1147, 488, 124, 131, 131, 123, 1226, 1151, 19801, 1419, 1147, 12677, 12906, 1238, 1135, 3122, 1126, 1161, 1204, 1770, 119, 6289, 1135, 8046, 1161, 29020, 2719, 1696, 1388, 15513, 1147, 12047, 25283, 1194, 3681, 8995, 1255, 2059, 3913, 2228, 1427, 1163, 1620, 19727, 1286, 1239, 8261, 1110, 3217, 18519, 13671, 1147, 1135, 1115, 12167, 193, 1406, 1161, 18534, 12047, 2670, 16909, 1892, 1112, 7017, 1410, 31153, 1146, 1296, 179, 2629, 1449, 1135, 11825, 1220, 1147, 1135, 4971, 1161, 3756, 194, 1128, 1201, 18445, 1747, 1292, 1461, 4167, 119, 1171, 16557, 1324, 1281, 2554, 2078, 6167, 13670, 1135, 19158, 1171, 9180, 7837, 1161, 1135, 4541, 1124, 1361, 13389, 18892, 16219, 1346, 5096, 1413, 5647, 3120, 1792, 10330, 2095, 6184, 25283, 2043, 24005, 1163, 1281, 2554, 2078, 8273, 3207, 19922, 8173, 24367, 1383, 2719, 1121, 1286, 1239, 5298, 2629, 1147, 9036, 1259, 14108, 4646, 1430, 1163, 4765, 1135, 2481, 3516, 13972, 2382, 1780, 1255, 5788, 15161, 7684, 18177, 3835, 3441, 7002, 116, 1113, 6132, 14835, 12116, 9440, 180, 1329, 12116, 154, 9440, 180, 154, 125, 3835, 9440, 116, 17167, 1239, 488, 123, 121, 131, 126, 1175, 128, 122, 129, 1576, 18439, 1286, 13601, 1135, 4674, 3516, 13972, 1113, 1731, 1324, 1110, 1165, 9440, 17167, 1161, 488, 124, 121, 128, 1175, 132, 122, 129, 4023, 21320, 1959, 1194, 12225, 1589, 3760, 3052, 1732, 3835, 3441, 7002, 1688, 140, 28078, 1292, 1286, 2911, 196, 2966, 1286, 1323, 10423, 1747, 26824, 1180, 1142, 15161, 1677, 5254, 13389, 18892, 8948, 1149, 1147, 16393, 1107, 3093, 2278, 2334, 1286, 1853, 3004, 1255, 1141, 1286, 1323, 26679, 2382, 1780, 1255, 5788, 15161, 1677, 5254, 1324, 15806, 5848, 30394, 1230, 1171, 18301, 195, 1591, 1142, 15161, 25553, 19374, 4675, 1589, 1151, 1231, 1297, 3079, 6275, 1599, 1226, 9731, 2420, 30394, 1230, 7239, 1238, 25283, 6034, 6911, 14520, 30490, 1180, 1142, 15161, 3050, 3881, 18177, 1505, 3207, 19886, 1276, 1121, 179, 3622, 1146, 1677, 5254, 1505, 1132, 1780, 1255, 5788, 15161, 1505, 1132, 1780, 1255, 1175, 1577, 5254, 9838, 4975, 1132, 9463, 2470, 1110, 2320, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 22745, 2643, 2893, 1442, 1511, 119, 5252, 1170, 488, 125, 125, 3141, 488, 124, 132, 127, 130, 1188, 18651, 14540, 10914, 1167, 19956, 1170, 488, 127, 2829, 488, 125, 123, 123, 124, 1188, 1306, 4916, 1208, 26821, 1299, 1189, 19366, 16338, 119, 10901, 1836, 1125, 5623, 8276, 1167, 8328, 1304, 3044, 1214, 18762, 2564, 1766, 1262, 25886, 4096, 29459, 2643, 2893, 1442, 1511, 1844, 1561, 3453, 1465, 18443, 1186, 4235, 1186, 4083, 1309, 28263, 1227, 5623, 8276, 16338, 1227, 20605, 488, 124, 132, 129, 126, 1300, 1318, 29907, 1198, 128, 126, 1227, 11724, 3728, 1535, 9236, 1768, 20235, 2404, 197, 3555, 121, 1768, 1186, 2934, 1125, 2076, 9911, 2419, 7352, 1723, 1816, 2768, 4112, 1317, 3035, 1199, 2519, 1200, 9120, 12258, 29436, 1607, 1154, 2445, 1317, 5623, 8276, 16338, 5519, 9971, 1227, 6455, 488, 124, 132, 129, 128, 119, 29283, 1227, 16277, 1227, 2854, 1125, 6102, 1890, 488, 124, 119, 1300, 1318, 29907, 1198, 128, 128, 119, 1188, 3694, 2301, 3502, 28468, 2551, 17983, 1382, 8952, 119, 1527, 2674, 5276, 1188, 10848, 1188, 1158, 4235, 121, 1768, 18035, 10928, 24161, 1170, 3035, 1199, 1167, 12459, 1125, 8753, 8328, 1304, 3044, 1214, 1186, 31722, 6389, 2643, 2893, 1442, 1511, 1248, 14046, 11724, 1300, 1207, 14847, 1125, 1158, 2941, 1506, 1107, 1575, 1173, 1607, 173, 2009, 1125, 4273, 6021, 1200, 10236, 3476, 3143, 1125, 31277, 1313, 1170, 26389, 5519, 9971, 1227, 6455, 1125, 6102, 1890, 488, 124, 2648, 1125, 6102, 1890, 24907, 121, 14301, 29887, 1878, 12402, 1258, 3171, 13501, 26910, 1209, 1119, 1173, 4652, 1213, 1362, 31996, 1214, 8353, 1493, 1119, 3747, 14055, 1107, 1258, 1256, 2435, 8370, 488, 124, 132, 130, 126, 1167, 488, 124, 132, 130, 127, 119, 7132, 2893, 1442, 1511, 1776, 27126, 1318, 1198, 7490, 1112, 1669, 488, 123, 123, 127, 2290, 1170, 1874, 1125, 1594, 2609, 1136, 2620, 1469, 1170, 8780, 14867, 6348, 1377, 1322, 1762, 2648, 1125, 1200, 11873, 27791, 17566, 1188, 31996, 1214, 8353, 1493, 1119, 1256, 10848, 1571, 5623, 190, 8276, 5519, 9971, 1227, 6455, 1125, 2008, 4092, 12284, 121, 1653, 488, 124, 132, 130, 126, 1527, 2934, 17753, 2335, 11051, 1105, 1167, 1186, 488, 124, 132, 130, 127, 1527, 5503, 2960, 1158, 4235, 1179, 2111, 197, 3555, 31070, 2076, 13144, 2893, 1442, 1511, 2934, 8328, 1125, 1282, 4303, 1137, 3978, 7879, 5519, 9971, 1227, 6455, 1167, 8225, 1186, 3812, 19473, 1227, 5623, 8276, 16338, 5519, 9971, 1227, 6455, 1300, 1170, 12516, 1227, 21931, 1132, 1174, 3266, 3767, 3285, 1125, 1816, 4927, 1527, 1281, 10907, 1935, 1256, 1309, 1170, 5623, 8276, 4216, 11884, 3601, 10336, 1207, 18184, 5987, 2137, 5958, 9689, 1227, 27981, 3476, 1186, 5169, 1125, 1158, 9135, 27981, 1333, 1450, 1357, 4319, 172, 1186, 488, 124, 132, 130, 126, 121, 2893, 1442, 1511, 8314, 2960, 2445, 1125, 21191, 1170, 12516, 1125, 1158, 17598, 1215, 1197, 6943, 30161, 12258, 1805, 6106, 1186, 488, 125, 123, 123, 124, 2519, 5279, 11986, 4292, 1186, 7556, 1199, 1318, 6391, 17374, 1313, 1561, 15147, 1188, 1306, 4916, 1208, 26821, 1313, 1207, 27867, 1125, 1561, 3837, 23082, 1366, 11488, 1167, 5474, 2093, 4961, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 9317, 1188, 488, 129, 131, 2165, 32001, 1424, 32000, 20036, 1530, 2643, 2893, 1442, 1511, 119, 9204, 1238, 7871, 488, 125, 125, 119, 488, 124, 132, 127, 130, 1147, 18651, 14540, 12579, 1171, 12743, 1238, 5696, 488, 127, 119, 488, 125, 123, 123, 124, 1147, 1306, 4916, 1208, 26821, 1463, 1110, 5343, 13013, 10244, 1734, 12211, 119, 5623, 8276, 2969, 1190, 1659, 1171, 3390, 11479, 8273, 1532, 1107, 11050, 2643, 2893, 1442, 1511, 3062, 1765, 1940, 20650, 1147, 1110, 10244, 1296, 1110, 30048, 1121, 1147, 1135, 488, 124, 132, 129, 126, 20605, 5623, 8276, 1324, 1110, 29907, 1198, 128, 126, 1446, 11724, 3728, 1535, 9236, 2133, 12914, 6402, 1372, 1276, 121, 1410, 3602, 8641, 1386, 1501, 4269, 1324, 1151, 1200, 9120, 1171, 1959, 15017, 1226, 1135, 488, 124, 132, 129, 128, 5343, 13013, 5623, 8276, 119, 1110, 6102, 9178, 488, 124, 5055, 19047, 25331, 1324, 1110, 29907, 1198, 128, 128, 1296, 1110, 3172, 22105, 4974, 6067, 1375, 3026, 2679, 1762, 1386, 8071, 1375, 1163, 19646, 1147, 1135, 10244, 121, 2133, 2491, 30381, 1446, 7338, 1149, 1171, 7905, 1110, 3390, 11479, 1449, 9854, 1135, 7132, 2893, 1442, 1511, 1248, 14046, 11724, 119, 7033, 2060, 18782, 1446, 4273, 6021, 1200, 10236, 1126, 1361, 2941, 1506, 1107, 1575, 1173, 1607, 173, 7352, 1163, 30241, 1147, 1135, 5343, 13013, 6102, 9178, 488, 124, 19047, 1171, 6102, 9178, 24907, 121, 7013, 20118, 20277, 5057, 1152, 8584, 3939, 1324, 1209, 1119, 1173, 4652, 1213, 1171, 31996, 1214, 8353, 1493, 3100, 5684, 24705, 7338, 1149, 1226, 2667, 6649, 488, 124, 132, 130, 126, 1171, 488, 124, 132, 130, 127, 119, 7132, 2893, 1442, 1511, 17032, 1110, 1198, 7490, 1112, 1669, 488, 123, 123, 127, 2670, 1765, 3390, 1361, 11017, 19089, 14666, 4361, 1449, 18282, 1322, 196, 1171, 6470, 1449, 1200, 11873, 27791, 17566, 1226, 31996, 1214, 8353, 1493, 1119, 1163, 30241, 1147, 1135, 5343, 13013, 5623, 190, 8276, 1161, 3108, 10805, 1459, 488, 124, 132, 130, 126, 119, 1386, 30381, 1446, 1135, 10244, 1171, 1147, 488, 124, 132, 130, 127, 119, 1386, 12914, 3663, 1148, 15803, 1388, 5395, 1135, 2994, 6605, 2893, 1442, 1511, 1463, 1135, 11299, 1161, 1135, 18138, 3978, 7879, 1161, 5343, 14016, 1171, 1463, 11626, 1226, 2447, 8271, 1135, 5343, 13013, 5623, 8276, 1355, 1135, 21931, 1132, 14989, 12516, 121, 14113, 1413, 6605, 1386, 1131, 4648, 1163, 7640, 1302, 1135, 5623, 8276, 12702, 1163, 3139, 2320, 13715, 5303, 18184, 1238, 1135, 2179, 1161, 1143, 6152, 5404, 1163, 1135, 10340, 18542, 1302, 8492, 1147, 488, 124, 132, 130, 126, 121, 2893, 1442, 1511, 1959, 10769, 1163, 9792, 1135, 17598, 1161, 1135, 12516, 1449, 3887, 17134, 10615, 1388, 3780, 12743, 1147, 488, 125, 123, 123, 124, 1446, 14202, 11986, 4292, 2884, 18453, 1149, 1110, 10925, 6391, 1238, 1765, 10925, 1147, 1306, 4916, 1208, 26821, 6289, 1765, 3002, 1130, 1782, 121, 2093, 20634, 1171, 22874, 1194, 4961, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 1763, 2295, 1355, 7227, 488, 129, 131, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 2643, 2893, 1442, 1511, 119, 9204, 1238, 7871, 488, 125, 125, 119, 488, 124, 132, 127, 130, 1147, 18651, 14540, 12579, 1171, 12743, 1238, 5696, 488, 127, 119, 488, 125, 123, 123, 124, 1147, 1306, 4916, 1208, 26821, 1463, 1110, 5343, 13013, 10244, 1734, 12211, 119, 5623, 8276, 2969, 1190, 1659, 1171, 3390, 11479, 8273, 1532, 1107, 11050, 2643, 2893, 1442, 1511, 3062, 1765, 1940, 20650, 1147, 1110, 10244, 1296, 1110, 30048, 1121, 1147, 1135, 488, 124, 132, 129, 126, 20605, 5623, 8276, 1324, 1110, 29907, 1198, 128, 126, 1446, 11724, 3728, 1535, 9236, 2133, 12914, 6402, 1372, 1276, 121, 1410, 3602, 8641, 1386, 1501, 4269, 1324, 1151, 1200, 9120, 1171, 1959, 15017, 1226, 1135, 488, 124, 132, 129, 128, 5343, 13013, 5623, 8276, 119, 1110, 6102, 9178, 488, 124, 5055, 19047, 25331, 1324, 1110, 29907, 1198, 128, 128, 1296, 1110, 3172, 22105, 4974, 6067, 1375, 3026, 2679, 1762, 1386, 8071, 1375, 1163, 19646, 1147, 1135, 10244, 121, 2133, 2491, 30381, 1446, 7338, 1149, 1171, 7905, 1110, 3390, 11479, 1449, 9854, 1135, 7132, 2893, 1442, 1511, 1248, 14046, 11724, 119, 7033, 2060, 18782, 1446, 4273, 6021, 1200, 10236, 1126, 1361, 2941, 1506, 1107, 1575, 1173, 1607, 173, 7352, 1163, 30241, 1147, 1135, 5343, 13013, 6102, 9178, 488, 124, 19047, 1171, 6102, 9178, 24907, 121, 7013, 20118, 20277, 5057, 1152, 8584, 3939, 1324, 1209, 1119, 1173, 4652, 1213, 1171, 31996, 1214, 8353, 1493, 3100, 5684, 24705, 7338, 1149, 1226, 2667, 6649, 488, 124, 132, 130, 126, 1171, 488, 124, 132, 130, 127, 119, 7132, 2893, 1442, 1511, 17032, 1110, 1198, 7490, 1112, 1669, 488, 123, 123, 127, 2670, 1765, 3390, 1361, 11017, 19089, 14666, 4361, 1449, 18282, 1322, 196, 1171, 6470, 1449, 1200, 11873, 27791, 17566, 1226, 31996, 1214, 8353, 1493, 1119, 1163, 30241, 1147, 1135, 5343, 13013, 5623, 190, 8276, 1161, 3108, 10805, 1459, 488, 124, 132, 130, 126, 119, 1386, 30381, 1446, 1135, 10244, 1171, 1147, 488, 124, 132, 130, 127, 119, 1386, 12914, 3663, 1148, 15803, 1388, 5395, 1135, 2994, 6605, 2893, 1442, 1511, 1463, 1135, 11299, 1161, 1135, 18138, 3978, 7879, 1161, 5343, 14016, 1171, 1463, 11626, 1226, 2447, 8271, 1135, 5343, 13013, 5623, 8276, 1355, 1135, 21931, 1132, 14989, 12516, 121, 14113, 1413, 6605, 1386, 1131, 4648, 1163, 7640, 1302, 1135, 5623, 8276, 12702, 1163, 3139, 2320, 13715, 5303, 18184, 1238, 1135, 2179, 1161, 1143, 6152, 5404, 1163, 1135, 10340, 18542, 1302, 8492, 1147, 488, 124, 132, 130, 126, 121, 2893, 1442, 1511, 1959, 10769, 1163, 9792, 1135, 17598, 1161, 1135, 12516, 1449, 3887, 17134, 10615, 1388, 3780, 12743, 1147, 488, 125, 123, 123, 124, 1446, 14202, 11986, 4292, 2884, 18453, 1149, 1110, 10925, 6391, 1238, 1765, 10925, 1147, 1306, 4916, 1208, 26821, 6289, 1765, 3002, 1130, 1782, 121, 2093, 20634, 1171, 22874, 1194, 4961, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 24259, 1442, 1511, 1763, 2295, 1355, 7227, 488, 129, 131, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 25723, 1310, 3091, 1292, 2114, 1858, 121, 488, 126, 124, 119, 1239, 1110, 1870, 1449, 1135, 31022, 10357, 9901, 3366, 24002, 1446, 488, 124, 131, 132, 131, 1388, 2700, 4218, 1720, 1140, 9901, 1120, 26482, 2067, 25723, 1310, 3091, 9556, 1147, 1293, 120, 21745, 3821, 1226, 19652, 1147, 488, 124, 131, 132, 131, 121, 1410, 13035, 14874, 1163, 16959, 2610, 1202, 1839, 185, 2086, 1463, 8226, 1449, 2068, 10263, 1206, 1200, 20511, 1147, 1135, 2994, 11764, 1410, 1870, 1463, 1169, 1470, 9841, 1449, 14162, 1345, 2885, 2984, 1147, 488, 125, 123, 123, 129, 1388, 2439, 12575, 3616, 25723, 1310, 3091, 9556, 1602, 5057, 6670, 2695, 1324, 1135, 8024, 1161, 21408, 1539, 1273, 4537, 1410, 1870, 6547, 1151, 14914, 1109, 1230, 2306, 1297, 1988, 1959, 21838, 1151, 1143, 1243, 1109, 1128, 2086, 15157, 1449, 8300, 1355, 1135, 10220, 1161, 1135, 9959, 121, 10357, 9901, 1120, 1361, 9959, 1239, 6670, 1163, 1135, 5763, 1159, 10877, 1858, 121, 488, 128, 130, 119, 1449, 1135, 3346, 1943, 3647, 1659, 6794, 1147, 1222, 120, 21745, 3821, 121, 14865, 1163, 9228, 1125, 9915, 1146, 3366, 3251, 6888, 6297, 1151, 14914, 1109, 1230, 10844, 1171, 6378, 1110, 12307, 1161, 31042, 1171, 31638, 2392, 6067, 1147, 1135, 3647, 9850, 13035, 1135, 10844, 2778, 1375, 5841, 1147, 1135, 2274, 3217, 8568, 1135, 9959, 1171, 1239, 1809, 19469, 2127, 2017, 3217, 1297, 30128, 1135, 15392, 1259, 1146, 2458, 1161, 1135, 1143, 1243, 1109, 7613, 1161, 1135, 25723, 1310, 3091, 9556, 1685, 14964, 1135, 10220, 1161, 1539, 1273, 1109, 1361, 3739, 1327, 6897, 1585, 119, 1858, 121, 488, 126, 129, 14023, 1136, 1732, 19663, 3251, 6888, 1393, 1147, 1135, 2994, 26575, 1135, 25723, 1310, 3091, 9556, 1239, 1147, 1293, 120, 21745, 3821, 119, 2884, 1135, 3739, 1327, 6897, 1585, 1239, 1147, 1252, 9243, 7188, 3821, 119, 11915, 2569, 15845, 1161, 1293, 120, 21745, 3821, 121, 1459, 3251, 1135, 3647, 9850, 1171, 1135, 3647, 9850, 13035, 1135, 9959, 13414, 1324, 1135, 3936, 2737, 1147, 1135, 2306, 1297, 3743, 1135, 26182, 1161, 1135, 15392, 27513, 1135, 3936, 2737, 1432, 28299, 1324, 1957, 2604, 5422, 1135, 5744, 2458, 1388, 2439, 2877, 6670, 1406, 2910, 10357, 9901, 1120, 1171, 21408, 1539, 1273, 1109, 1526, 1280, 3218, 119, 10115, 2910, 1135, 25723, 1310, 3091, 9556, 1171, 1135, 1266, 1237, 1407, 6664, 1858, 121, 488, 125, 130, 121, 16312, 12518, 1537, 1135, 2994, 2804, 13276, 119, 1324, 1110, 2458, 4415, 175, 1147, 4823, 190, 1388, 1891, 2092, 13776, 2645, 11114, 2105, 1320, 1623, 1125, 29021, 119, 1449, 16871, 4357, 4953, 5005, 1558, 172, 5007, 11978, 1496, 1200, 1205, 1575, 14029, 1200, 2273, 148, 488, 123, 124, 123, 126, 125, 124, 127, 120, 124, 123, 119, 488, 125, 123, 124, 123, 119, 21311, 2035, 3327, 2519, 24999, 1449, 4736, 1164, 1174, 25532, 1541, 3926, 2562, 2765, 8080, 1951, 2336, 182, 12732, 6779, 158, 488, 126, 131, 488, 126, 127, 132, 119, 488, 125, 123, 125, 125, 119, 1194, 1891, 9520, 11934, 3249, 1194, 26722, 14520, 1194, 10488, 190, 1161, 10357, 9901, 1120, 5486, 1555, 190, 12142, 1147, 488, 124, 131, 132, 131, 5486, 1555, 190, 1147, 1293, 120, 21745, 3821, 121, 32001, 1424, 32000, 20036, 2359, 3091, 9556, 7102, 8640, 1858, 121, 488, 126, 124, 119, 1299, 1318, 6885, 1125, 1158, 3647, 1123, 5578, 10357, 9901, 3366, 4012, 1199, 1125, 488, 124, 131, 132, 131, 1388, 2700, 4218, 21311, 1140, 9901, 1120, 19193, 1594, 3091, 9556, 7102, 1960, 1186, 2429, 1138, 2035, 1172, 17098, 1256, 19652, 1186, 488, 124, 131, 132, 131, 121, 2576, 4281, 2944, 23185, 1188, 16959, 2610, 1202, 1839, 185, 2086, 1299, 18078, 1571, 16801, 2068, 10263, 1206, 1200, 20511, 1158, 2076, 1894, 3798, 2576, 13221, 1299, 1338, 1740, 21288, 1215, 1207, 16801, 14162, 1345, 1186, 488, 125, 123, 123, 129, 1388, 22460, 1206, 10791, 3091, 9556, 7102, 1960, 11358, 3171, 4426, 1123, 4119, 1469, 6577, 12249, 1125, 21408, 1539, 1273, 4537, 2576, 13221, 11358, 1318, 16565, 14914, 1109, 3798, 3450, 5004, 2072, 1189, 1143, 1243, 1109, 1128, 2086, 6581, 244, 1215, 10028, 1317, 4319, 1125, 1158, 9545, 121, 1643, 9545, 1125, 10357, 9901, 1120, 11102, 1124, 1849, 1188, 1158, 5763, 1159, 10877, 1858, 121, 488, 128, 130, 119, 1227, 31891, 24562, 7655, 17989, 1186, 1338, 1138, 2035, 1172, 17098, 121, 12427, 9228, 1125, 9915, 1146, 3366, 1207, 2069, 14766, 20766, 1318, 16565, 14914, 18320, 1167, 2217, 23459, 1189, 14177, 1125, 22718, 1167, 1125, 1685, 16924, 3041, 9997, 3523, 1158, 3647, 1123, 5578, 119, 1158, 16565, 1288, 4933, 1382, 1313, 1170, 5412, 7774, 2797, 1158, 9545, 1167, 1299, 1809, 1482, 1303, 1313, 5610, 5412, 1297, 1867, 6698, 1158, 3028, 8686, 1259, 1460, 1125, 1282, 1531, 1109, 7613, 1227, 3091, 9556, 7102, 1960, 16066, 1170, 4319, 1125, 1282, 3593, 1327, 6897, 1585, 1859, 1858, 121, 488, 126, 129, 119, 1125, 1539, 1273, 1109, 31265, 6698, 1207, 2069, 14766, 1508, 1313, 1158, 2076, 5412, 1902, 1257, 1170, 3091, 9556, 7102, 1960, 1299, 1186, 2429, 1138, 2035, 1172, 17098, 119, 11781, 1309, 1282, 3593, 1327, 6897, 1585, 1299, 1186, 2490, 1106, 1795, 1206, 17098, 119, 11915, 28301, 1460, 1125, 2429, 1138, 2035, 1172, 17098, 121, 25522, 1170, 31891, 1856, 3523, 1158, 3647, 1123, 5578, 119, 1158, 9545, 8718, 1215, 1158, 2274, 8632, 1313, 1170, 11912, 121, 4511, 24570, 1125, 1158, 8686, 1259, 2620, 1158, 2274, 8632, 20861, 119, 1469, 3458, 2604, 5422, 1158, 3028, 26551, 1388, 3466, 5209, 1318, 3419, 5424, 244, 1835, 10357, 9901, 1120, 1167, 21408, 1539, 1273, 2982, 1469, 3747, 1318, 5424, 244, 1835, 1170, 3091, 9556, 7102, 1960, 1167, 1170, 1266, 1237, 1407, 1245, 1859, 1858, 121, 488, 125, 130, 121, 2502, 11083, 1313, 1207, 2069, 6406, 1170, 2076, 13276, 1622, 2726, 1469, 1318, 3028, 19410, 1303, 1188, 1158, 18338, 1388, 8044, 2092, 13776, 2645, 4134, 1424, 12684, 1623, 1125, 29021, 119, 1215, 16871, 4357, 4953, 5005, 1558, 172, 5007, 11978, 1496, 1200, 1205, 1575, 14029, 1200, 2273, 148, 488, 123, 124, 123, 126, 125, 124, 127, 120, 124, 123, 119, 488, 125, 123, 124, 123, 119, 1424, 23789, 3327, 2519, 24999, 1215, 4736, 1164, 1174, 25532, 1541, 3926, 2562, 2765, 8080, 1951, 2336, 182, 12732, 6779, 158, 488, 126, 131, 488, 126, 127, 132, 119, 488, 125, 123, 125, 125, 119, 15948, 11934, 3249, 7364, 5825, 2093, 282, 10843, 1125, 10357, 9901, 1120, 106, 282, 10843, 15633, 1186, 488, 124, 131, 132, 131, 106, 282, 10843, 1186, 2429, 1138, 2035, 1172, 17098, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 3091, 9556, 7102, 8640, 1858, 121, 488, 126, 124, 119, 1299, 1318, 6885, 1125, 1158, 3647, 1123, 5578, 10357, 9901, 3366, 4012, 1199, 1125, 488, 124, 131, 132, 131, 1388, 2700, 4218, 21311, 1140, 9901, 1120, 19193, 1594, 3091, 9556, 7102, 1960, 1186, 2429, 1138, 2035, 1172, 17098, 1256, 19652, 1186, 488, 124, 131, 132, 131, 121, 2576, 4281, 2944, 23185, 1188, 16959, 2610, 1202, 1839, 185, 2086, 1299, 18078, 1571, 16801, 2068, 10263, 1206, 1200, 20511, 1158, 2076, 1894, 3798, 2576, 13221, 1299, 1338, 1740, 21288, 1215, 1207, 16801, 14162, 1345, 1186, 488, 125, 123, 123, 129, 1388, 22460, 1206, 10791, 3091, 9556, 7102, 1960, 11358, 3171, 4426, 1123, 4119, 1469, 6577, 12249, 1125, 21408, 1539, 1273, 4537, 2576, 13221, 11358, 1318, 16565, 14914, 1109, 3798, 3450, 5004, 2072, 1189, 1143, 1243, 1109, 1128, 2086, 6581, 244, 1215, 10028, 1317, 4319, 1125, 1158, 9545, 121, 1643, 9545, 1125, 10357, 9901, 1120, 11102, 1124, 1849, 1188, 1158, 5763, 1159, 10877, 1858, 121, 488, 128, 130, 119, 1227, 31891, 24562, 7655, 17989, 1186, 1338, 1138, 2035, 1172, 17098, 121, 12427, 9228, 1125, 9915, 1146, 3366, 1207, 2069, 14766, 20766, 1318, 16565, 14914, 18320, 1167, 2217, 23459, 1189, 14177, 1125, 22718, 1167, 1125, 1685, 16924, 3041, 9997, 3523, 1158, 3647, 1123, 5578, 119, 1158, 16565, 1288, 4933, 1382, 1313, 1170, 5412, 7774, 2797, 1158, 9545, 1167, 1299, 1809, 1482, 1303, 1313, 5610, 5412, 1297, 1867, 6698, 1158, 3028, 8686, 1259, 1460, 1125, 1282, 1531, 1109, 7613, 1227, 3091, 9556, 7102, 1960, 16066, 1170, 4319, 1125, 1282, 3593, 1327, 6897, 1585, 1859, 1858, 121, 488, 126, 129, 119, 1125, 1539, 1273, 1109, 31265, 6698, 1207, 2069, 14766, 1508, 1313, 1158, 2076, 5412, 1902, 1257, 1170, 3091, 9556, 7102, 1960, 1299, 1186, 2429, 1138, 2035, 1172, 17098, 119, 11781, 1309, 1282, 3593, 1327, 6897, 1585, 1299, 1186, 2490, 1106, 1795, 1206, 17098, 119, 11915, 28301, 1460, 1125, 2429, 1138, 2035, 1172, 17098, 121, 25522, 1170, 31891, 1856, 3523, 1158, 3647, 1123, 5578, 119, 1158, 9545, 8718, 1215, 1158, 2274, 8632, 1313, 1170, 11912, 121, 4511, 24570, 1125, 1158, 8686, 1259, 2620, 1158, 2274, 8632, 20861, 119, 1469, 3458, 2604, 5422, 1158, 3028, 26551, 1388, 3466, 5209, 1318, 3419, 5424, 244, 1835, 10357, 9901, 1120, 1167, 21408, 1539, 1273, 2982, 1469, 3747, 1318, 5424, 244, 1835, 1170, 3091, 9556, 7102, 1960, 1167, 1170, 1266, 1237, 1407, 1245, 1859, 1858, 121, 488, 125, 130, 121, 2502, 11083, 1313, 1207, 2069, 6406, 1170, 2076, 13276, 1622, 2726, 1469, 1318, 3028, 19410, 1303, 1188, 1158, 18338, 1388, 8044, 2092, 13776, 2645, 4134, 1424, 12684, 1623, 1125, 29021, 119, 1215, 16871, 4357, 4953, 5005, 1558, 172, 5007, 11978, 1496, 1200, 1205, 1575, 14029, 1200, 2273, 148, 488, 123, 124, 123, 126, 125, 124, 127, 120, 124, 123, 119, 488, 125, 123, 124, 123, 119, 1424, 23789, 3327, 2519, 24999, 1215, 4736, 1164, 1174, 25532, 1541, 3926, 2562, 2765, 8080, 1951, 2336, 182, 12732, 6779, 158, 488, 126, 131, 488, 126, 127, 132, 119, 488, 125, 123, 125, 125, 119, 15948, 11934, 3249, 7364, 5825, 2093, 282, 10843, 1125, 10357, 9901, 1120, 106, 282, 10843, 15633, 1186, 488, 124, 131, 132, 131, 106, 282, 10843, 1186, 2429, 1138, 2035, 1172, 17098, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 14564, 2119, 1189, 3418, 8403, 8922, 1215, 1863, 7261, 4891, 10563, 1153, 9615, 1167, 2487, 1158, 8969, 1299, 12625, 1186, 488, 125, 123, 125, 127, 121, 1768, 10515, 2335, 3418, 3260, 11565, 1300, 1170, 30688, 9399, 1918, 4279, 7745, 31751, 23159, 3352, 4403, 2093, 20638, 5379, 1257, 9399, 1918, 4279, 133, 5182, 12270, 106, 5294, 4521, 1257, 1863, 7261, 4891, 10563, 1153, 9615, 106, 2941, 1538, 5844, 1257, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 20758, 1167, 6522, 1419, 24488, 106, 20357, 1257, 1139, 122, 6472, 12890, 16051, 1257, 15770, 31918, 1706, 106, 6064, 1500, 1257, 5644, 1200, 15428, 106, 13511, 6862, 1257, 24487, 10882, 3676, 1228, 1379, 106, 10272, 4134, 1257, 6927, 3985, 190, 3061, 106, 4304, 1272, 1257, 1202, 1174, 4460, 8991, 106, 19210, 1257, 24255, 10445, 1918, 15151, 1248, 10205, 1918, 15151, 2397, 1205, 9248, 1918, 4279, 1167, 6927, 4622, 1123, 1140, 106, 7676, 1125, 4052, 1257, 1198, 3205, 1293, 1510, 106, 7676, 1125, 6847, 1257, 9872, 1848, 13318, 4133, 1175, 15784, 5976, 3366, 2315, 1260, 27504, 1257, 1139, 122, 6472, 9299, 1125, 4052, 1257, 1424, 9313, 1277, 17482, 1257, 9400, 106, 24178, 1257, 7099, 106, 8399, 1112, 1257, 1106, 3599, 3260, 11565, 106, 25694, 1257, 1139, 122, 6472, 1222, 2026, 1125, 8969, 1257, 1424, 2315, 1257, 1424, 24884, 6372, 8623, 143, 10995, 1424, 31492, 4279, 6507, 4379, 9669, 1257, 9399, 1918, 4279, 106, 1200, 2215, 4436, 21207, 1210, 1257, 1248, 10205, 1918, 4279, 106, 8980, 1293, 1265, 1172, 1773, 14541, 22120, 1314, 21386, 1390, 106, 8590, 1266, 1249, 18581, 23197, 1325, 1785, 179, 106, 1198, 1180, 1109, 26502, 106, 1405, 3679, 4736, 1201, 1257, 1165, 1490, 196, 8346, 16363, 1326, 1532, 1194, 2101, 3409, 1194, 18843, 7551, 1167, 4764, 20546, 2829, 488, 125, 123, 125, 124, 119, 1527, 1299, 16752, 10440, 3418, 3260, 11565, 1300, 9399, 1918, 4279, 1299, 1186, 4764, 3523, 9872, 1848, 13318, 30355, 1863, 7261, 4891, 10563, 1153, 9615, 1299, 23784, 1856, 3014, 13619, 1469, 1189, 23661, 5617, 1215, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 20758, 1167, 6522, 1419, 24488, 8370, 3141, 488, 125, 123, 125, 125, 119, 31492, 4279, 6507, 4379, 9669, 1299, 16752, 1313, 1170, 6315, 1227, 21218, 11682, 2750, 1189, 9186, 4927, 1125, 8836, 1149, 1313, 1170, 2854, 3462, 1657, 1653, 1110, 1261, 488, 125, 123, 125, 125, 119, 1200, 2215, 4436, 21207, 1210, 1299, 6755, 6657, 1313, 1170, 6315, 1125, 1594, 16722, 119, 1248, 10205, 1918, 1126, 2305, 1653, 3141, 488, 125, 123, 125, 126, 119, 8980, 1293, 1265, 1172, 1773, 2433, 22120, 1314, 21386, 14111, 8590, 1266, 1249, 1105, 1167, 23197, 1325, 1785, 179, 1508, 19830, 1234, 1313, 1197, 29865, 18596, 1153, 24367, 1854, 1272, 10791, 5505, 1272, 28995, 1186, 2584, 488, 125, 123, 125, 125, 1188, 5896, 14279, 1768, 1281, 23408, 2445, 1188, 7472, 22397, 1186, 1321, 5224, 250, 1244, 7552, 1968, 4316, 11934, 1121, 4094, 18604, 3012, 119, 1170, 2929, 1814, 2052, 2128, 9399, 1918, 4279, 1281, 4715, 5518, 1189, 1874, 9229, 1257, 9399, 1918, 4279, 133, 5182, 12270, 121, 6280, 8969, 5964, 1299, 19830, 1303, 1256, 1170, 488, 128, 2921, 488, 125, 123, 125, 127, 11488, 1167, 16828, 5825, 2093, 141, 1383, 1918, 4279, 15089, 8403, 2487, 1158, 8969, 1299, 12625, 1186, 488, 125, 123, 125, 127, 15089, 27325, 8403, 15089, 3260, 11565, 8403, 15089, 30720, 1186, 1321, 5224, 250, 1244, 15089, 30720, 1188, 20024, 15089, 1281, 8866, 11953, 1186, 1321, 5224, 250, 1244, 15089, 1281, 8866, 11953, 1313, 1207, 4092, 488, 124, 132, 130, 123, 15089, 5858, 244, 1215, 9872, 1848, 13318, 4133, 114, 32001, 1424, 32000, 20036, 9693, 1239, 1151, 4950, 3418, 18840, 1449, 1863, 7261, 4891, 10563, 1153, 9615, 1171, 2142, 1163, 1280, 9578, 1147, 488, 125, 123, 125, 127, 121, 1988, 1239, 1110, 3260, 28988, 3418, 1905, 1135, 28117, 9399, 1918, 4279, 7745, 31751, 24367, 2030, 1926, 8231, 1194, 17696, 7261, 22207, 9399, 1918, 4279, 133, 5182, 12270, 1763, 30132, 1449, 133, 1863, 7261, 4891, 10563, 1153, 9615, 5486, 1687, 1665, 1449, 133, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 1246, 2563, 1171, 6522, 1419, 24488, 1720, 19486, 133, 1139, 23273, 4030, 191, 4595, 133, 15770, 31918, 1706, 1628, 1130, 2712, 4078, 133, 5644, 1200, 15428, 1505, 1531, 6862, 133, 24487, 10882, 3676, 1228, 1379, 1505, 1314, 13005, 11114, 133, 6927, 3985, 190, 3061, 2586, 2689, 9513, 1202, 1174, 4460, 8991, 5383, 3409, 133, 24255, 10445, 1918, 15151, 1248, 10205, 1918, 15151, 2397, 1205, 9248, 1918, 15151, 1171, 6927, 4622, 1123, 1140, 5383, 3409, 4571, 133, 1198, 3205, 1293, 1510, 1763, 10995, 4571, 133, 9872, 1848, 13318, 4133, 1175, 2029, 2580, 22217, 2315, 13667, 1506, 1454, 133, 1139, 23273, 5383, 3409, 5687, 133, 1424, 17696, 7261, 6401, 133, 6938, 13164, 1128, 133, 11681, 2911, 1108, 1112, 133, 7072, 28988, 26039, 1763, 3607, 133, 1139, 23273, 5061, 3866, 12542, 133, 1424, 145, 5762, 133, 1424, 2029, 2580, 22217, 6372, 133, 25158, 1573, 6975, 1972, 4279, 6507, 4379, 9669, 133, 9399, 1918, 4279, 1489, 2215, 4436, 21207, 1210, 133, 1248, 10205, 1918, 4279, 1720, 22809, 1293, 1265, 1172, 1773, 180, 1875, 1217, 1314, 21386, 1390, 2278, 2550, 1266, 1249, 1105, 4401, 1276, 3994, 1325, 1785, 179, 1853, 1180, 1109, 26502, 14731, 3679, 4736, 19423, 1165, 1490, 196, 8346, 16363, 1326, 1532, 1194, 2101, 3409, 1194, 18843, 11323, 1171, 5733, 30490, 5696, 488, 125, 123, 125, 124, 119, 1341, 1463, 10229, 1302, 1110, 3260, 28988, 3418, 1905, 9399, 1918, 4279, 1463, 1147, 5733, 1355, 9872, 1848, 13318, 30355, 1863, 7261, 4891, 10563, 1153, 9615, 1463, 31162, 1296, 3152, 4834, 1324, 1110, 8604, 6794, 1449, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 1246, 2563, 1171, 6522, 1419, 24488, 6649, 7871, 488, 125, 123, 125, 125, 119, 31492, 4279, 6507, 4379, 9669, 1463, 10229, 1147, 1135, 5897, 1161, 1135, 3237, 1659, 2470, 1110, 2102, 8836, 1149, 2701, 18888, 121, 1459, 6678, 488, 125, 123, 125, 125, 119, 1200, 2215, 4436, 21207, 1210, 1463, 18919, 1147, 1135, 5897, 1161, 1765, 1144, 19645, 1248, 10205, 1918, 1126, 2305, 1459, 7871, 488, 125, 123, 125, 126, 119, 8980, 1293, 1265, 1172, 1773, 2433, 22120, 1314, 21386, 14111, 8590, 1266, 1249, 2114, 1171, 23197, 1325, 1785, 179, 2025, 10229, 1147, 16851, 19175, 14023, 6417, 1149, 15089, 1149, 8492, 1147, 7262, 488, 125, 123, 125, 125, 1147, 5896, 3847, 1988, 1959, 5868, 2320, 1147, 7472, 1243, 2114, 1321, 5224, 5245, 1388, 1891, 2092, 1194, 1891, 3866, 3229, 5728, 6152, 1135, 3580, 1814, 2052, 2128, 9399, 1918, 4279, 1463, 28156, 9463, 9399, 1918, 4279, 133, 5182, 12270, 121, 14835, 9197, 7834, 1239, 19894, 1226, 6942, 488, 128, 119, 488, 125, 123, 125, 127, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 9693, 1239, 1151, 4950, 3418, 18840, 1449, 1863, 7261, 4891, 10563, 1153, 9615, 1171, 2142, 1163, 1280, 9578, 1147, 488, 125, 123, 125, 127, 121, 1988, 1239, 1110, 3260, 28988, 3418, 1905, 1135, 28117, 9399, 1918, 4279, 7745, 31751, 24367, 2030, 1926, 8231, 1194, 17696, 7261, 22207, 9399, 1918, 4279, 133, 5182, 12270, 1763, 30132, 1449, 133, 1863, 7261, 4891, 10563, 1153, 9615, 5486, 1687, 1665, 1449, 133, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 1246, 2563, 1171, 6522, 1419, 24488, 1720, 19486, 133, 1139, 23273, 4030, 191, 4595, 133, 15770, 31918, 1706, 1628, 1130, 2712, 4078, 133, 5644, 1200, 15428, 1505, 1531, 6862, 133, 24487, 10882, 3676, 1228, 1379, 1505, 1314, 13005, 11114, 133, 6927, 3985, 190, 3061, 2586, 2689, 9513, 1202, 1174, 4460, 8991, 5383, 3409, 133, 24255, 10445, 1918, 15151, 1248, 10205, 1918, 15151, 2397, 1205, 9248, 1918, 15151, 1171, 6927, 4622, 1123, 1140, 5383, 3409, 4571, 133, 1198, 3205, 1293, 1510, 1763, 10995, 4571, 133, 9872, 1848, 13318, 4133, 1175, 2029, 2580, 22217, 2315, 13667, 1506, 1454, 133, 1139, 23273, 5383, 3409, 5687, 133, 1424, 17696, 7261, 6401, 133, 6938, 13164, 1128, 133, 11681, 2911, 1108, 1112, 133, 7072, 28988, 26039, 1763, 3607, 133, 1139, 23273, 5061, 3866, 12542, 133, 1424, 145, 5762, 133, 1424, 2029, 2580, 22217, 6372, 133, 25158, 1573, 6975, 1972, 4279, 6507, 4379, 9669, 133, 9399, 1918, 4279, 1489, 2215, 4436, 21207, 1210, 133, 1248, 10205, 1918, 4279, 1720, 22809, 1293, 1265, 1172, 1773, 180, 1875, 1217, 1314, 21386, 1390, 2278, 2550, 1266, 1249, 1105, 4401, 1276, 3994, 1325, 1785, 179, 1853, 1180, 1109, 26502, 14731, 3679, 4736, 19423, 1165, 1490, 196, 8346, 16363, 1326, 1532, 1194, 2101, 3409, 1194, 18843, 11323, 1171, 5733, 30490, 5696, 488, 125, 123, 125, 124, 119, 1341, 1463, 10229, 1302, 1110, 3260, 28988, 3418, 1905, 9399, 1918, 4279, 1463, 1147, 5733, 1355, 9872, 1848, 13318, 30355, 1863, 7261, 4891, 10563, 1153, 9615, 1463, 31162, 1296, 3152, 4834, 1324, 1110, 8604, 6794, 1449, 2397, 1519, 9560, 23986, 10623, 12209, 3758, 1246, 2563, 1171, 6522, 1419, 24488, 6649, 7871, 488, 125, 123, 125, 125, 119, 31492, 4279, 6507, 4379, 9669, 1463, 10229, 1147, 1135, 5897, 1161, 1135, 3237, 1659, 2470, 1110, 2102, 8836, 1149, 2701, 18888, 121, 1459, 6678, 488, 125, 123, 125, 125, 119, 1200, 2215, 4436, 21207, 1210, 1463, 18919, 1147, 1135, 5897, 1161, 1765, 1144, 19645, 1248, 10205, 1918, 1126, 2305, 1459, 7871, 488, 125, 123, 125, 126, 119, 8980, 1293, 1265, 1172, 1773, 2433, 22120, 1314, 21386, 14111, 8590, 1266, 1249, 2114, 1171, 23197, 1325, 1785, 179, 2025, 10229, 1147, 16851, 19175, 14023, 6417, 1149, 15089, 1149, 8492, 1147, 7262, 488, 125, 123, 125, 125, 1147, 5896, 3847, 1988, 1959, 5868, 2320, 1147, 7472, 1243, 2114, 1321, 5224, 5245, 1388, 1891, 2092, 1194, 1891, 3866, 3229, 5728, 6152, 1135, 3580, 1814, 2052, 2128, 9399, 1918, 4279, 1463, 28156, 9463, 9399, 1918, 4279, 133, 5182, 12270, 121, 14835, 9197, 7834, 1239, 19894, 1226, 6942, 488, 128, 119, 488, 125, 123, 125, 127, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 19104, 15567, 1239, 1151, 18235, 10750, 119, 13085, 1449, 1110, 11852, 7070, 1988, 7245, 13020, 1147, 1135, 20946, 1525, 1161, 23116, 9420, 23958, 1175, 123, 129, 116, 1171, 20934, 1175, 131, 126, 1576, 1410, 11852, 1121, 1230, 1239, 8452, 1147, 19104, 121, 2093, 160, 1614, 1135, 15418, 1161, 15773, 19554, 1147, 488, 125, 123, 124, 128, 119, 1135, 12512, 3818, 1463, 21316, 1163, 1135, 22339, 23343, 3926, 10657, 5519, 30661, 15773, 6054, 121, 31790, 19104, 15567, 1239, 1910, 1161, 6233, 1233, 1147, 1135, 3875, 23292, 121, 31790, 19104, 15567, 1463, 5772, 1147, 488, 124, 132, 129, 128, 121, 1202, 10334, 1163, 1135, 15418, 1161, 1135, 1165, 1500, 5245, 15567, 1147, 488, 124, 132, 130, 128, 119, 1341, 7869, 1135, 20946, 1525, 1161, 23116, 9420, 1477, 9551, 1352, 5567, 1171, 1165, 1500, 1146, 2036, 2093, 15638, 1500, 133, 1424, 124, 132, 129, 128, 120, 124, 132, 130, 129, 133, 6927, 5191, 2691, 106, 124, 132, 130, 129, 120, 124, 132, 131, 124, 133, 5612, 25117, 1157, 106, 124, 132, 131, 124, 120, 124, 132, 131, 127, 133, 5612, 6760, 1331, 10582, 124, 132, 131, 127, 120, 124, 132, 131, 128, 133, 16855, 1248, 1374, 6472, 124, 132, 131, 128, 120, 124, 132, 131, 129, 133, 3335, 1460, 1643, 177, 1105, 4379, 1839, 244, 106, 124, 132, 131, 129, 120, 124, 132, 131, 132, 133, 29475, 12418, 7416, 106, 124, 132, 131, 132, 120, 124, 132, 132, 126, 133, 22317, 2893, 3383, 191, 106, 124, 132, 132, 126, 120, 124, 132, 132, 129, 133, 6780, 20344, 1662, 106, 124, 132, 132, 129, 120, 124, 132, 132, 131, 133, 23317, 25428, 28439, 1258, 106, 124, 132, 132, 131, 120, 125, 123, 123, 123, 133, 19570, 2722, 1538, 1130, 106, 125, 123, 123, 123, 120, 125, 123, 123, 126, 133, 13949, 20606, 1187, 1376, 106, 125, 123, 123, 126, 120, 125, 123, 123, 128, 133, 3699, 20190, 3091, 173, 2139, 106, 125, 123, 123, 128, 120, 125, 123, 123, 132, 133, 3699, 27890, 16070, 1118, 23194, 125, 123, 123, 132, 120, 125, 123, 124, 123, 133, 8702, 1266, 1460, 106, 125, 123, 124, 123, 120, 125, 123, 124, 128, 133, 25267, 1200, 21067, 14541, 125, 123, 124, 128, 120, 125, 123, 124, 132, 133, 21482, 1254, 2265, 106, 125, 123, 124, 132, 120, 125, 123, 125, 125, 133, 10290, 19785, 1119, 1374, 106, 125, 123, 125, 125, 1323, 133, 22356, 1519, 172, 11173, 1190, 30490, 488, 125, 123, 124, 131, 119, 1296, 1910, 1161, 1135, 15916, 1161, 1135, 5011, 1361, 13544, 10932, 119, 1135, 5303, 10229, 1110, 3580, 1163, 23446, 1135, 19104, 15567, 1324, 1135, 1192, 1757, 9420, 1206, 1415, 11778, 184, 2305, 2192, 4592, 2104, 1463, 1116, 1336, 2128, 1147, 488, 125, 123, 124, 132, 1449, 27377, 7060, 2893, 1119, 1134, 1659, 12984, 1161, 4966, 20123, 2071, 1147, 5775, 1161, 1135, 4966, 28760, 1361, 12358, 1238, 1165, 14803, 29376, 1171, 20123, 2392, 2093, 21320, 1959, 133, 1424, 2029, 3387, 16271, 5519, 30661, 1424, 2029, 3387, 1161, 11805, 1105, 1194, 26722, 4672, 3009, 1424, 166, 7089, 11076, 4877, 1161, 1135, 19104, 15567, 19113, 1183, 3243, 1443, 16290, 1718, 153, 1443, 1424, 144, 5341, 1147, 19104, 32001, 1424, 32000, 20036, 24623, 6880, 1183, 15422, 1125, 19104, 1299, 1318, 25898, 15996, 18153, 1185, 10641, 1215, 1189, 1685, 1836, 121, 3450, 18402, 1207, 4208, 30201, 24205, 1197, 21761, 1197, 23116, 9420, 23958, 1175, 123, 129, 116, 1167, 1227, 20934, 1175, 131, 126, 1576, 1548, 11852, 1121, 1128, 1299, 8446, 1188, 19104, 9994, 1500, 1125, 1158, 5735, 1197, 13535, 25538, 2035, 2097, 1186, 488, 125, 123, 124, 128, 119, 10721, 15422, 1299, 22786, 1303, 1188, 1158, 3734, 25538, 16738, 22339, 23343, 3926, 10657, 5519, 30661, 18726, 21206, 1125, 19104, 1844, 3247, 1125, 1158, 6233, 1233, 1227, 19325, 13980, 18726, 1183, 15422, 1125, 19104, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 128, 121, 8738, 6055, 235, 1158, 5735, 1125, 10721, 15422, 1125, 28432, 1186, 488, 124, 132, 130, 128, 119, 2399, 2599, 1108, 15801, 12853, 1207, 23116, 9420, 23958, 1167, 1170, 1352, 5567, 1207, 2069, 21761, 1125, 28432, 1388, 6090, 3051, 2093, 124, 132, 129, 128, 120, 124, 132, 130, 129, 1257, 6927, 5191, 2691, 106, 124, 132, 130, 129, 120, 124, 132, 131, 124, 1257, 5612, 25117, 1157, 106, 124, 132, 131, 124, 120, 124, 132, 131, 127, 1257, 5612, 6760, 1331, 10582, 124, 132, 131, 127, 120, 124, 132, 131, 128, 1257, 16855, 1248, 1374, 6472, 124, 132, 131, 128, 120, 124, 132, 131, 129, 1257, 3335, 1460, 1643, 177, 1105, 4379, 1839, 244, 106, 124, 132, 131, 129, 120, 124, 132, 131, 132, 1257, 29475, 12418, 7416, 106, 124, 132, 131, 132, 120, 124, 132, 132, 126, 1257, 22317, 2893, 3383, 191, 106, 124, 132, 132, 126, 120, 124, 132, 132, 129, 1257, 6780, 20344, 1662, 106, 124, 132, 132, 129, 120, 124, 132, 132, 131, 1257, 23317, 25428, 28439, 1258, 106, 124, 132, 132, 131, 120, 125, 123, 123, 123, 1257, 19570, 2722, 1538, 1130, 106, 125, 123, 123, 123, 120, 125, 123, 123, 126, 1257, 13949, 20606, 1187, 1376, 106, 125, 123, 123, 126, 120, 125, 123, 123, 128, 1257, 3699, 20190, 3091, 173, 2139, 106, 125, 123, 123, 128, 120, 125, 123, 123, 132, 1257, 3699, 27890, 16070, 1118, 23194, 125, 123, 123, 132, 120, 125, 123, 124, 123, 1257, 8702, 1266, 1460, 106, 125, 123, 124, 123, 120, 125, 123, 124, 128, 1257, 25267, 1200, 21067, 14541, 125, 123, 124, 128, 120, 125, 123, 124, 132, 1257, 21482, 1254, 2265, 1155, 125, 123, 124, 132, 120, 125, 123, 125, 125, 1257, 10290, 19785, 1119, 1374, 1155, 125, 123, 125, 125, 1323, 1257, 22356, 1519, 172, 11173, 1190, 29515, 488, 125, 123, 124, 131, 119, 1313, 1170, 4154, 1125, 1158, 16173, 1125, 26313, 23427, 1125, 12052, 19354, 1170, 5987, 10656, 9963, 1300, 1189, 2929, 1125, 14853, 1125, 10721, 15422, 1125, 19104, 1469, 10721, 15422, 5519, 1757, 9420, 1206, 28812, 4060, 14853, 1299, 1894, 16147, 1186, 488, 125, 123, 124, 132, 1215, 27377, 7060, 2893, 1119, 1134, 1659, 5328, 1125, 12052, 5341, 24838, 5551, 1158, 6086, 1197, 10934, 24515, 1167, 1125, 23699, 1125, 23423, 5277, 30039, 2072, 1424, 19529, 16271, 5519, 30661, 106, 19529, 1125, 11805, 1105, 9323, 1167, 16828, 5825, 1424, 1424, 166, 27566, 9229, 1125, 10721, 15422, 1125, 19104, 19113, 1183, 3243, 1443, 16290, 1718, 153, 1443, 3147, 26407, 1188, 19104, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24623, 6880, 1183, 15422, 1125, 19104, 1299, 1318, 25898, 15996, 18153, 1185, 10641, 1215, 1189, 1685, 1836, 121, 3450, 18402, 1207, 4208, 30201, 24205, 1197, 21761, 1197, 23116, 9420, 23958, 1175, 123, 129, 116, 1167, 1227, 20934, 1175, 131, 126, 1576, 1548, 11852, 1121, 1128, 1299, 8446, 1188, 19104, 9994, 1500, 1125, 1158, 5735, 1197, 13535, 25538, 2035, 2097, 1186, 488, 125, 123, 124, 128, 119, 10721, 15422, 1299, 22786, 1303, 1188, 1158, 3734, 25538, 16738, 22339, 23343, 3926, 10657, 5519, 30661, 18726, 21206, 1125, 19104, 1844, 3247, 1125, 1158, 6233, 1233, 1227, 19325, 13980, 18726, 1183, 15422, 1125, 19104, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 128, 121, 8738, 6055, 235, 1158, 5735, 1125, 10721, 15422, 1125, 28432, 1186, 488, 124, 132, 130, 128, 119, 2399, 2599, 1108, 15801, 12853, 1207, 23116, 9420, 23958, 1167, 1170, 1352, 5567, 1207, 2069, 21761, 1125, 28432, 1388, 6090, 3051, 2093, 124, 132, 129, 128, 120, 124, 132, 130, 129, 1257, 6927, 5191, 2691, 106, 124, 132, 130, 129, 120, 124, 132, 131, 124, 1257, 5612, 25117, 1157, 106, 124, 132, 131, 124, 120, 124, 132, 131, 127, 1257, 5612, 6760, 1331, 10582, 124, 132, 131, 127, 120, 124, 132, 131, 128, 1257, 16855, 1248, 1374, 6472, 124, 132, 131, 128, 120, 124, 132, 131, 129, 1257, 3335, 1460, 1643, 177, 1105, 4379, 1839, 244, 106, 124, 132, 131, 129, 120, 124, 132, 131, 132, 1257, 29475, 12418, 7416, 106, 124, 132, 131, 132, 120, 124, 132, 132, 126, 1257, 22317, 2893, 3383, 191, 106, 124, 132, 132, 126, 120, 124, 132, 132, 129, 1257, 6780, 20344, 1662, 106, 124, 132, 132, 129, 120, 124, 132, 132, 131, 1257, 23317, 25428, 28439, 1258, 106, 124, 132, 132, 131, 120, 125, 123, 123, 123, 1257, 19570, 2722, 1538, 1130, 106, 125, 123, 123, 123, 120, 125, 123, 123, 126, 1257, 13949, 20606, 1187, 1376, 106, 125, 123, 123, 126, 120, 125, 123, 123, 128, 1257, 3699, 20190, 3091, 173, 2139, 106, 125, 123, 123, 128, 120, 125, 123, 123, 132, 1257, 3699, 27890, 16070, 1118, 23194, 125, 123, 123, 132, 120, 125, 123, 124, 123, 1257, 8702, 1266, 1460, 106, 125, 123, 124, 123, 120, 125, 123, 124, 128, 1257, 25267, 1200, 21067, 14541, 125, 123, 124, 128, 120, 125, 123, 124, 132, 1257, 21482, 1254, 2265, 1155, 125, 123, 124, 132, 120, 125, 123, 125, 125, 1257, 10290, 19785, 1119, 1374, 1155, 125, 123, 125, 125, 1323, 1257, 22356, 1519, 172, 11173, 1190, 29515, 488, 125, 123, 124, 131, 119, 1313, 1170, 4154, 1125, 1158, 16173, 1125, 26313, 23427, 1125, 12052, 19354, 1170, 5987, 10656, 9963, 1300, 1189, 2929, 1125, 14853, 1125, 10721, 15422, 1125, 19104, 1469, 10721, 15422, 5519, 1757, 9420, 1206, 28812, 4060, 14853, 1299, 1894, 16147, 1186, 488, 125, 123, 124, 132, 1215, 27377, 7060, 2893, 1119, 1134, 1659, 5328, 1125, 12052, 5341, 24838, 5551, 1158, 6086, 1197, 10934, 24515, 1167, 1125, 23699, 1125, 23423, 5277, 30039, 2072, 1424, 19529, 16271, 5519, 30661, 106, 19529, 1125, 11805, 1105, 9323, 1167, 16828, 5825, 1424, 1424, 166, 27566, 9229, 1125, 10721, 15422, 1125, 19104, 19113, 1183, 3243, 1443, 16290, 1718, 153, 1443, 3147, 26407, 1188, 19104, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 155, 3915, 28688, 29678, 21296, 4553, 1210, 1105, 4853, 2886, 1289, 1374, 1175, 125, 126, 2822, 488, 124, 130, 126, 124, 119, 1772, 1224, 2252, 1323, 488, 124, 130, 3012, 488, 124, 131, 124, 126, 119, 17449, 5030, 1496, 1299, 1189, 16745, 1354, 1125, 19021, 1167, 5598, 3657, 2720, 14231, 1424, 3652, 1516, 4283, 1188, 1158, 2076, 4446, 1309, 8179, 4553, 1210, 1105, 1125, 1200, 17513, 3310, 1125, 3699, 4553, 1210, 1105, 4853, 1755, 5173, 1167, 18225, 1109, 1185, 2719, 1262, 1125, 6780, 15021, 1112, 4019, 10720, 2724, 1379, 3561, 6780, 28688, 29678, 21296, 4553, 1210, 1105, 1299, 1170, 8658, 1125, 488, 13742, 4553, 1210, 2114, 1114, 5427, 1125, 1643, 6745, 119, 1167, 1125, 27941, 7980, 1204, 30464, 8370, 10575, 1313, 1170, 5773, 1197, 16745, 2624, 1125, 1158, 18102, 1186, 488, 124, 130, 127, 132, 119, 1527, 12425, 1856, 2423, 2648, 3151, 16745, 1354, 1167, 3626, 1277, 1571, 6105, 1346, 1186, 12094, 1167, 1571, 1645, 1401, 11602, 30393, 1158, 6545, 1125, 2499, 1595, 1645, 1285, 1527, 5909, 1910, 1188, 3871, 20331, 1125, 7422, 10914, 2290, 1207, 28024, 1227, 6513, 1304, 8722, 1217, 1112, 21482, 4379, 1839, 11275, 29921, 1468, 1308, 15021, 1517, 1125, 1643, 1204, 7416, 1186, 488, 124, 130, 128, 130, 7885, 23726, 3175, 8414, 1793, 1188, 17449, 5030, 1186, 488, 124, 130, 129, 128, 119, 1527, 1251, 15458, 1158, 16745, 1214, 1300, 1207, 14573, 1151, 15320, 2097, 1167, 1527, 1299, 12688, 16745, 1354, 1186, 6513, 1125, 1158, 18102, 1167, 8328, 1125, 12547, 10070, 1125, 16619, 3202, 1366, 1125, 17449, 5030, 1186, 488, 124, 130, 131, 131, 119, 6728, 22696, 1188, 1293, 11204, 1379, 4553, 1210, 1105, 4853, 1755, 192, 2305, 1768, 18504, 1278, 18163, 14249, 1125, 1158, 18102, 1125, 17449, 5030, 8922, 1215, 1282, 20726, 5427, 1186, 6513, 6780, 25319, 177, 3693, 1170, 488, 129, 2798, 12258, 15458, 1158, 16795, 1125, 1158, 18102, 1186, 488, 124, 130, 132, 126, 1388, 3681, 1500, 11471, 3391, 1176, 8130, 1125, 1131, 1795, 193, 1312, 1597, 27127, 3515, 23653, 1123, 1188, 17449, 5030, 1186, 488, 124, 130, 132, 132, 119, 1527, 1844, 1170, 4872, 1469, 12436, 19323, 1396, 2009, 1167, 1844, 1693, 244, 2021, 1207, 1557, 1298, 1125, 1233, 1486, 5533, 1768, 5909, 1318, 1910, 6103, 1571, 5031, 6111, 20161, 1167, 1304, 26860, 1313, 1158, 3837, 1125, 17449, 5030, 119, 8776, 1199, 1170, 20958, 1272, 1167, 1282, 1187, 1738, 1162, 1197, 20102, 1125, 1158, 3837, 8155, 488, 127, 1139, 1289, 255, 1206, 1151, 22794, 9064, 4553, 1210, 1105, 1227, 23503, 1374, 1299, 2873, 4353, 1215, 1170, 25252, 5416, 13619, 1256, 25970, 1170, 5927, 1125, 1158, 3984, 1849, 120, 11617, 9333, 1317, 25934, 8447, 19779, 2585, 1527, 9209, 22571, 488, 124, 131, 123, 127, 10177, 25868, 7488, 5820, 1125, 1158, 3837, 1125, 17449, 5030, 4665, 1594, 1874, 7745, 3249, 7364, 5825, 28912, 3352, 1300, 26262, 5277, 4713, 3400, 1186, 2822, 488, 124, 130, 126, 124, 9317, 1186, 3012, 488, 124, 131, 124, 126, 4196, 13264, 1354, 2720, 9745, 28668, 1317, 25934, 8447, 3193, 9745, 28668, 1125, 1158, 3984, 1849, 9420, 8068, 9317, 1188, 488, 131, 124, 2165, 2105, 22137, 4553, 1210, 1105, 1125, 1200, 17513, 1129, 19152, 3579, 4610, 1125, 1158, 3984, 1849, 9420, 8068, 19218, 1613, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1720, 1740, 1168, 1109, 11894, 2720, 1720, 1740, 1168, 1314, 21266, 26626, 16509, 1188, 17449, 5030, 1175, 7914, 1849, 9420, 8068, 12537, 3400, 1313, 1158, 10660, 1227, 1202, 3534, 1118, 32001, 1424, 32000, 20036, 1566, 3915, 28688, 29678, 21296, 4553, 1210, 1105, 4853, 2886, 1289, 1374, 14091, 6748, 488, 125, 126, 119, 488, 124, 130, 126, 124, 119, 1772, 1224, 2252, 1323, 6674, 488, 124, 130, 119, 488, 124, 131, 124, 126, 119, 17449, 5030, 1496, 1463, 1110, 9197, 3202, 1132, 1300, 29303, 1171, 12809, 2323, 9663, 180, 11114, 2056, 1140, 1510, 1149, 1163, 1135, 2994, 4772, 1296, 8179, 4553, 1210, 1105, 1125, 1200, 17513, 3310, 3699, 4553, 1210, 1105, 4853, 1755, 192, 1762, 1171, 1940, 18225, 1109, 1163, 6780, 15021, 1112, 4019, 10720, 2724, 1379, 3561, 6780, 28688, 29678, 21296, 4553, 1210, 1105, 1463, 1135, 1594, 1161, 13742, 4553, 1210, 2114, 1114, 5427, 1125, 1643, 6745, 119, 1171, 27941, 7980, 1204, 30464, 8370, 1213, 1149, 1135, 27250, 1300, 1315, 1376, 5773, 1147, 488, 124, 130, 127, 132, 119, 1386, 11462, 1296, 1110, 2423, 1171, 2491, 1940, 1300, 29303, 1171, 1561, 4328, 1163, 30487, 6461, 1810, 1171, 1135, 31978, 1897, 6871, 14113, 1135, 2499, 1549, 9574, 7394, 1325, 5567, 1386, 3512, 1589, 1147, 1135, 7422, 10914, 2217, 29498, 2670, 1135, 4021, 1161, 1248, 1570, 4379, 22491, 19468, 21482, 4379, 1839, 11275, 29921, 1468, 1308, 15021, 1517, 1125, 1643, 1204, 7416, 1147, 488, 124, 130, 128, 130, 1388, 3652, 15774, 11806, 2111, 1147, 17449, 5030, 1147, 488, 124, 130, 129, 128, 119, 1386, 11219, 24101, 1238, 1151, 15320, 1926, 14573, 1171, 1463, 22951, 16865, 1300, 29303, 1161, 1135, 27250, 1171, 11299, 1161, 1135, 1266, 10646, 14916, 5761, 1161, 17449, 5030, 1147, 488, 124, 130, 131, 131, 119, 20369, 1149, 1293, 11204, 1379, 4553, 1210, 1105, 4853, 1755, 192, 2305, 2133, 18504, 1136, 1589, 1135, 17449, 5030, 27250, 15729, 8794, 1449, 16865, 28488, 6780, 25319, 177, 1369, 1238, 6384, 488, 129, 1388, 3780, 20883, 1135, 27250, 10715, 1147, 488, 124, 130, 132, 126, 8509, 6129, 1151, 6181, 9998, 1146, 1161, 1597, 27127, 1129, 2053, 2094, 1147, 17449, 5030, 1147, 488, 124, 130, 132, 132, 119, 1386, 16447, 1341, 1163, 1135, 19071, 4784, 1171, 2055, 1135, 1557, 2393, 1104, 1161, 1233, 1486, 1272, 22465, 3078, 2133, 9273, 1151, 6103, 5897, 1147, 1166, 5688, 29589, 1171, 15317, 11534, 1147, 1135, 5100, 1161, 17449, 5030, 119, 5994, 1149, 1113, 4035, 1171, 5682, 1738, 1162, 1161, 1135, 30519, 25263, 1388, 3466, 488, 127, 1139, 1289, 255, 1206, 1976, 22794, 9064, 4553, 1210, 1105, 1227, 23503, 1374, 1463, 21247, 119, 1449, 1135, 20732, 1985, 8689, 5848, 1163, 4765, 1135, 15867, 1161, 3984, 1849, 120, 11617, 9333, 1147, 1135, 11689, 4829, 1985, 1233, 27513, 2468, 1386, 11462, 4945, 488, 124, 131, 123, 127, 18898, 4005, 1530, 13243, 1147, 1135, 5100, 1161, 17449, 5030, 1280, 2289, 1765, 2220, 7745, 3249, 1194, 26722, 14520, 1194, 16555, 1238, 4966, 28760, 12323, 2589, 1147, 7357, 488, 124, 130, 126, 124, 1763, 2295, 1147, 6674, 488, 124, 131, 124, 126, 2105, 30206, 1300, 29303, 7069, 24498, 1147, 1135, 11689, 4829, 1985, 21831, 7069, 24498, 1161, 3984, 1849, 9420, 8068, 1763, 2295, 1355, 488, 131, 124, 3162, 4006, 1505, 5200, 1105, 1125, 1200, 17513, 1129, 4772, 2911, 1944, 1132, 9404, 1121, 1161, 3984, 1849, 9420, 8068, 6975, 17673, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 2105, 30206, 10215, 6517, 18351, 9769, 8068, 26948, 1566, 5339, 3258, 8158, 1324, 17449, 5030, 1175, 7914, 1849, 9420, 8068, 13667, 2589, 1147, 1135, 10660, 1161, 1202, 3534, 1118, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1566, 3915, 28688, 29678, 21296, 4553, 1210, 1105, 4853, 2886, 1289, 1374, 14091, 6748, 488, 125, 126, 119, 488, 124, 130, 126, 124, 119, 1772, 1224, 2252, 1323, 6674, 488, 124, 130, 119, 488, 124, 131, 124, 126, 119, 17449, 5030, 1496, 1463, 1110, 9197, 3202, 1132, 1300, 29303, 1171, 12809, 2323, 9663, 180, 11114, 2056, 1140, 1510, 1149, 1163, 1135, 2994, 4772, 1296, 8179, 4553, 1210, 1105, 1125, 1200, 17513, 3310, 3699, 4553, 1210, 1105, 4853, 1755, 192, 1762, 1171, 1940, 18225, 1109, 1163, 6780, 15021, 1112, 4019, 10720, 2724, 1379, 3561, 6780, 28688, 29678, 21296, 4553, 1210, 1105, 1463, 1135, 1594, 1161, 13742, 4553, 1210, 2114, 1114, 5427, 1125, 1643, 6745, 119, 1171, 27941, 7980, 1204, 30464, 8370, 1213, 1149, 1135, 27250, 1300, 1315, 1376, 5773, 1147, 488, 124, 130, 127, 132, 119, 1386, 11462, 1296, 1110, 2423, 1171, 2491, 1940, 1300, 29303, 1171, 1561, 4328, 1163, 30487, 6461, 1810, 1171, 1135, 31978, 1897, 6871, 14113, 1135, 2499, 1549, 9574, 7394, 1325, 5567, 1386, 3512, 1589, 1147, 1135, 7422, 10914, 2217, 29498, 2670, 1135, 4021, 1161, 1248, 1570, 4379, 22491, 19468, 21482, 4379, 1839, 11275, 29921, 1468, 1308, 15021, 1517, 1125, 1643, 1204, 7416, 1147, 488, 124, 130, 128, 130, 1388, 3652, 15774, 11806, 2111, 1147, 17449, 5030, 1147, 488, 124, 130, 129, 128, 119, 1386, 11219, 24101, 1238, 1151, 15320, 1926, 14573, 1171, 1463, 22951, 16865, 1300, 29303, 1161, 1135, 27250, 1171, 11299, 1161, 1135, 1266, 10646, 14916, 5761, 1161, 17449, 5030, 1147, 488, 124, 130, 131, 131, 119, 20369, 1149, 1293, 11204, 1379, 4553, 1210, 1105, 4853, 1755, 192, 2305, 2133, 18504, 1136, 1589, 1135, 17449, 5030, 27250, 15729, 8794, 1449, 16865, 28488, 6780, 25319, 177, 1369, 1238, 6384, 488, 129, 1388, 3780, 20883, 1135, 27250, 10715, 1147, 488, 124, 130, 132, 126, 8509, 6129, 1151, 6181, 9998, 1146, 1161, 1597, 27127, 1129, 2053, 2094, 1147, 17449, 5030, 1147, 488, 124, 130, 132, 132, 119, 1386, 16447, 1341, 1163, 1135, 19071, 4784, 1171, 2055, 1135, 1557, 2393, 1104, 1161, 1233, 1486, 1272, 22465, 3078, 2133, 9273, 1151, 6103, 5897, 1147, 1166, 5688, 29589, 1171, 15317, 11534, 1147, 1135, 5100, 1161, 17449, 5030, 119, 5994, 1149, 1113, 4035, 1171, 5682, 1738, 1162, 1161, 1135, 30519, 25263, 1388, 3466, 488, 127, 1139, 1289, 255, 1206, 1976, 22794, 9064, 4553, 1210, 1105, 1227, 23503, 1374, 1463, 21247, 119, 1449, 1135, 20732, 1985, 8689, 5848, 1163, 4765, 1135, 15867, 1161, 3984, 1849, 120, 11617, 9333, 1147, 1135, 11689, 4829, 1985, 1233, 27513, 2468, 1386, 11462, 4945, 488, 124, 131, 123, 127, 18898, 4005, 1530, 13243, 1147, 1135, 5100, 1161, 17449, 5030, 1280, 2289, 1765, 2220, 7745, 3249, 1194, 26722, 14520, 1194, 16555, 1238, 4966, 28760, 12323, 2589, 1147, 7357, 488, 124, 130, 126, 124, 1763, 2295, 1147, 6674, 488, 124, 131, 124, 126, 2105, 30206, 1300, 29303, 7069, 24498, 1147, 1135, 11689, 4829, 1985, 21831, 7069, 24498, 1161, 3984, 1849, 9420, 8068, 1763, 2295, 1355, 488, 131, 124, 3162, 4006, 1505, 5200, 1105, 1125, 1200, 17513, 1129, 4772, 2911, 1944, 1132, 9404, 1121, 1161, 3984, 1849, 9420, 8068, 6975, 17673, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 2105, 30206, 10215, 6517, 18351, 9769, 8068, 26948, 1566, 5339, 3258, 8158, 1324, 17449, 5030, 1175, 7914, 1849, 9420, 8068, 13667, 2589, 1147, 1135, 10660, 1161, 1202, 3534, 1118, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 17322, 1879, 4708, 2589, 1299, 1318, 8710, 1357, 4249, 10125, 1408, 13409, 1309, 1313, 1282, 17485, 25563, 13798, 1298, 5435, 1958, 2500, 1545, 2589, 3031, 1170, 5987, 1227, 19672, 1186, 2321, 1227, 488, 1317, 488, 3439, 2589, 1299, 1318, 10651, 7993, 22308, 1388, 9748, 10329, 4708, 2589, 119, 1189, 1166, 1344, 1334, 1227, 23168, 7362, 27795, 1186, 1645, 19394, 3439, 2589, 119, 1318, 3837, 1197, 28398, 1125, 1158, 10660, 1125, 7346, 10914, 3439, 2589, 119, 1874, 10816, 1125, 9339, 192, 279, 1186, 24088, 3695, 1154, 1348, 1125, 1545, 2589, 119, 1874, 7798, 1188, 3203, 29222, 2191, 1234, 1313, 1816, 3837, 1186, 488, 124, 127, 124, 124, 119, 1186, 488, 124, 127, 129, 129, 1167, 1186, 488, 124, 130, 123, 132, 1835, 1158, 24088, 4101, 1123, 192, 7778, 1167, 1909, 8918, 1554, 8732, 12974, 10329, 4708, 2589, 1299, 1189, 1279, 9037, 1119, 1836, 1125, 18294, 179, 1390, 1114, 9206, 2992, 1308, 1354, 3439, 2589, 1299, 1318, 10956, 7886, 119, 4203, 12001, 8746, 1344, 1632, 1167, 23849, 9034, 1125, 5047, 6327, 5964, 8732, 1128, 2548, 20028, 4401, 9577, 1545, 2589, 24051, 1186, 488, 124, 132, 129, 129, 1496, 4981, 24981, 9400, 2356, 141, 9254, 1545, 2589, 24051, 1186, 488, 124, 132, 130, 128, 1496, 1299, 10952, 26859, 1354, 1125, 24755, 1188, 2271, 12636, 1167, 1125, 24755, 1188, 11402, 2356, 22448, 2268, 1214, 1545, 2589, 4419, 1303, 1186, 488, 124, 132, 129, 127, 1496, 29685, 13900, 2356, 146, 1573, 1105, 1545, 2589, 1175, 124, 132, 125, 131, 120, 125, 123, 123, 130, 1496, 5598, 3657, 10021, 8043, 1157, 22517, 2356, 147, 5597, 1545, 2589, 1175, 124, 130, 131, 126, 458, 124, 131, 128, 132, 1496, 9644, 1140, 8403, 2356, 15440, 3551, 24811, 1545, 2589, 1175, 124, 130, 131, 126, 120, 124, 131, 127, 124, 1496, 5598, 3657, 10021, 8043, 1157, 22517, 2356, 15440, 14034, 1545, 2589, 24051, 1186, 488, 124, 132, 127, 130, 1496, 3399, 29069, 2720, 2356, 149, 27505, 1545, 2589, 1175, 124, 131, 131, 126, 120, 124, 132, 128, 126, 1496, 13652, 1167, 5598, 3657, 10021, 8043, 1157, 22517, 2356, 17441, 196, 1545, 2589, 4419, 1303, 1186, 488, 124, 132, 129, 125, 1496, 20926, 1632, 1167, 3647, 1123, 5578, 14898, 2356, 161, 8584, 1545, 2589, 1175, 124, 131, 127, 127, 120, 124, 132, 126, 123, 1496, 13652, 1167, 5598, 3657, 10021, 8043, 1157, 22517, 2356, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 130, 127, 120, 124, 132, 128, 123, 1496, 2077, 9721, 10724, 193, 1603, 1354, 1227, 3254, 3356, 10724, 25227, 2356, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 132, 129, 120, 1496, 15458, 1136, 31767, 1517, 14023, 4259, 17322, 1174, 1354, 1545, 2589, 119, 14514, 1125, 1158, 4726, 1125, 8196, 1643, 4732, 1740, 4259, 3439, 2589, 119, 14514, 7774, 1125, 1158, 4726, 1125, 9337, 1643, 1202, 2139, 2010, 9249, 1187, 3439, 2589, 119, 14514, 7774, 1313, 1158, 1106, 1461, 1433, 1244, 1125, 9337, 2576, 10301, 1229, 25532, 1532, 5617, 1215, 29770, 18439, 1972, 3439, 2589, 119, 11459, 1105, 1125, 1204, 8335, 1193, 5879, 1313, 1158, 4726, 1125, 9337, 2576, 147, 1356, 13769, 3471, 14850, 22497, 116, 1357, 16823, 1313, 1170, 19911, 488, 125, 1257, 2576, 147, 1550, 4688, 8732, 1128, 2548, 20028, 1185, 5597, 1460, 5450, 2548, 20028, 10816, 5450, 2548, 20028, 9400, 32001, 1424, 32000, 20036, 2073, 1662, 1212, 4708, 2589, 1239, 1110, 9149, 1302, 1239, 2692, 2155, 2629, 1147, 1135, 1209, 7452, 1265, 1146, 18702, 25563, 3439, 2589, 12016, 1463, 1135, 5303, 1161, 19672, 1147, 7079, 1446, 488, 1163, 488, 3439, 2589, 1239, 1110, 29999, 4571, 1388, 9748, 8150, 4708, 2589, 119, 1110, 22903, 2178, 1147, 23168, 7362, 2393, 6785, 12689, 3439, 2589, 119, 1110, 5100, 1147, 1135, 28513, 16843, 1147, 1135, 10660, 1161, 7346, 12579, 3439, 2589, 119, 7927, 2220, 1226, 9339, 192, 279, 1147, 3346, 1265, 3695, 2374, 196, 1161, 1545, 2589, 119, 2220, 3397, 1163, 3337, 5582, 1384, 1104, 13942, 1147, 1413, 5100, 1147, 488, 124, 127, 124, 124, 119, 488, 124, 127, 129, 129, 119, 1171, 488, 124, 130, 123, 132, 2910, 3346, 1265, 4101, 1284, 15207, 1575, 1171, 2019, 8886, 25981, 8732, 12974, 8150, 4708, 2589, 1239, 1110, 6459, 3281, 8415, 2323, 18294, 179, 1390, 28117, 3439, 2589, 1239, 1110, 9197, 10956, 14105, 4203, 13808, 6419, 1659, 1171, 6144, 3654, 24059, 7745, 1136, 1777, 4401, 9577, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 129, 1496, 6938, 7711, 1107, 1236, 141, 9254, 1545, 2589, 6256, 2589, 488, 124, 132, 130, 128, 1496, 16448, 24755, 21828, 1171, 24755, 16646, 7402, 1236, 22448, 2268, 1214, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 127, 1496, 4950, 1332, 16310, 1236, 146, 1573, 1105, 1545, 2589, 1175, 124, 132, 125, 131, 120, 125, 123, 123, 130, 1496, 19672, 1943, 12809, 2323, 1236, 147, 5597, 1545, 2589, 1175, 124, 130, 131, 126, 458, 124, 131, 128, 132, 1496, 4950, 9644, 1140, 1236, 15440, 3551, 24811, 1545, 2589, 1175, 124, 130, 131, 126, 120, 124, 131, 127, 124, 1496, 19672, 1943, 12809, 2323, 1236, 15440, 14034, 1545, 2589, 6256, 2589, 488, 124, 132, 127, 130, 1496, 9197, 31758, 3418, 27318, 1236, 149, 27505, 1545, 2589, 1175, 124, 131, 131, 126, 120, 124, 132, 128, 126, 1496, 19672, 1943, 29695, 1171, 12809, 2323, 1236, 17441, 196, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 125, 1496, 9324, 28117, 1171, 6537, 30028, 1236, 161, 8584, 1545, 2589, 1175, 124, 131, 127, 127, 120, 124, 132, 126, 123, 1496, 19672, 1943, 29695, 1171, 12809, 2323, 1236, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 130, 127, 120, 124, 132, 128, 123, 1496, 10073, 1886, 178, 2323, 6973, 1146, 15755, 3271, 1374, 1236, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 132, 129, 120, 1496, 21798, 1943, 7634, 2308, 15619, 3271, 1374, 14023, 4259, 1763, 1174, 1354, 1545, 2589, 119, 5080, 1147, 1135, 3418, 6446, 1410, 1350, 8676, 3439, 2589, 119, 2274, 5080, 1147, 1135, 3481, 6446, 1410, 1204, 16097, 7806, 4007, 3439, 2589, 119, 2274, 5080, 1147, 1135, 1106, 1461, 1433, 1210, 1161, 10127, 1410, 25532, 11519, 26344, 6794, 1449, 29770, 18439, 1972, 3439, 2589, 119, 1204, 8335, 1193, 179, 1361, 11459, 2114, 1147, 1135, 3481, 6446, 1410, 1459, 31583, 1336, 12183, 2927, 119, 2000, 12963, 1147, 3481, 488, 125, 133, 1410, 2133, 1187, 15826, 5597, 1146, 1300, 1777, 7927, 1300, 1777, 6938, 1300, 1777, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2073, 1662, 1212, 4708, 2589, 1239, 1110, 9149, 1302, 1239, 2692, 2155, 2629, 1147, 1135, 1209, 7452, 1265, 1146, 18702, 25563, 3439, 2589, 12016, 1463, 1135, 5303, 1161, 19672, 1147, 7079, 1446, 488, 1163, 488, 3439, 2589, 1239, 1110, 29999, 4571, 1388, 9748, 8150, 4708, 2589, 119, 1110, 22903, 2178, 1147, 23168, 7362, 2393, 6785, 12689, 3439, 2589, 119, 1110, 5100, 1147, 1135, 28513, 16843, 1147, 1135, 10660, 1161, 7346, 12579, 3439, 2589, 119, 7927, 2220, 1226, 9339, 192, 279, 1147, 3346, 1265, 3695, 2374, 196, 1161, 1545, 2589, 119, 2220, 3397, 1163, 3337, 5582, 1384, 1104, 13942, 1147, 1413, 5100, 1147, 488, 124, 127, 124, 124, 119, 488, 124, 127, 129, 129, 119, 1171, 488, 124, 130, 123, 132, 2910, 3346, 1265, 4101, 1284, 15207, 1575, 1171, 2019, 8886, 25981, 8732, 12974, 8150, 4708, 2589, 1239, 1110, 6459, 3281, 8415, 2323, 18294, 179, 1390, 28117, 3439, 2589, 1239, 1110, 9197, 10956, 14105, 4203, 13808, 6419, 1659, 1171, 6144, 3654, 24059, 7745, 1136, 1777, 4401, 9577, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 129, 1496, 6938, 7711, 1107, 1236, 141, 9254, 1545, 2589, 6256, 2589, 488, 124, 132, 130, 128, 1496, 16448, 24755, 21828, 1171, 24755, 16646, 7402, 1236, 22448, 2268, 1214, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 127, 1496, 4950, 1332, 16310, 1236, 146, 1573, 1105, 1545, 2589, 1175, 124, 132, 125, 131, 120, 125, 123, 123, 130, 1496, 19672, 1943, 12809, 2323, 1236, 147, 5597, 1545, 2589, 1175, 124, 130, 131, 126, 458, 124, 131, 128, 132, 1496, 4950, 9644, 1140, 1236, 15440, 3551, 24811, 1545, 2589, 1175, 124, 130, 131, 126, 120, 124, 131, 127, 124, 1496, 19672, 1943, 12809, 2323, 1236, 15440, 14034, 1545, 2589, 6256, 2589, 488, 124, 132, 127, 130, 1496, 9197, 31758, 3418, 27318, 1236, 149, 27505, 1545, 2589, 1175, 124, 131, 131, 126, 120, 124, 132, 128, 126, 1496, 19672, 1943, 29695, 1171, 12809, 2323, 1236, 17441, 196, 1545, 2589, 6256, 2589, 488, 124, 132, 129, 125, 1496, 9324, 28117, 1171, 6537, 30028, 1236, 161, 8584, 1545, 2589, 1175, 124, 131, 127, 127, 120, 124, 132, 126, 123, 1496, 19672, 1943, 29695, 1171, 12809, 2323, 1236, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 130, 127, 120, 124, 132, 128, 123, 1496, 10073, 1886, 178, 2323, 6973, 1146, 15755, 3271, 1374, 1236, 161, 2461, 3521, 1545, 2589, 1175, 124, 132, 132, 129, 120, 1496, 21798, 1943, 7634, 2308, 15619, 3271, 1374, 14023, 4259, 1763, 1174, 1354, 1545, 2589, 119, 5080, 1147, 1135, 3418, 6446, 1410, 1350, 8676, 3439, 2589, 119, 2274, 5080, 1147, 1135, 3481, 6446, 1410, 1204, 16097, 7806, 4007, 3439, 2589, 119, 2274, 5080, 1147, 1135, 1106, 1461, 1433, 1210, 1161, 10127, 1410, 25532, 11519, 26344, 6794, 1449, 29770, 18439, 1972, 3439, 2589, 119, 1204, 8335, 1193, 179, 1361, 11459, 2114, 1147, 1135, 3481, 6446, 1410, 1459, 31583, 1336, 12183, 2927, 119, 2000, 12963, 1147, 3481, 488, 125, 133, 1410, 2133, 1187, 15826, 5597, 1146, 1300, 1777, 7927, 1300, 1777, 6938, 1300, 1777, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 5318, 1239, 1135, 1940, 14841, 1446, 1135, 6030, 24671, 14524, 9578, 1147, 488, 124, 132, 129, 130, 1388, 5018, 172, 1183, 18969, 1346, 15098, 6576, 1161, 1135, 6537, 119, 17525, 1302, 1135, 18597, 1226, 1135, 6537, 5559, 1446, 1135, 488, 124, 132, 129, 130, 31463, 1248, 180, 2707, 7745, 2610, 3318, 9917, 1135, 26596, 3818, 10812, 1226, 10347, 28097, 141, 1352, 5301, 23561, 1449, 1110, 6604, 186, 1329, 6506, 1147, 488, 124, 132, 129, 131, 21698, 6971, 1110, 26596, 3818, 9271, 1161, 1252, 1344, 10812, 1147, 488, 124, 132, 132, 132, 6649, 488, 125, 123, 124, 131, 119, 1341, 1463, 7869, 1147, 1135, 4966, 4597, 8756, 5158, 8173, 7552, 1968, 8756, 1163, 1248, 15829, 22946, 20226, 3603, 1341, 1239, 1704, 1161, 1135, 488, 128, 123, 123, 16521, 16190, 1161, 1543, 1907, 7745, 1174, 8719, 8796, 6681, 1161, 1135, 23504, 5950, 1673, 25218, 119, 15926, 1110, 1624, 3451, 1161, 1135, 6537, 1324, 5620, 1863, 1156, 1147, 488, 124, 132, 131, 129, 1226, 16572, 3870, 9850, 3418, 24671, 3318, 6329, 13450, 121, 1988, 2131, 1427, 1147, 1135, 20518, 1171, 9324, 1270, 8752, 6649, 488, 124, 132, 130, 131, 119, 1135, 2893, 1813, 6375, 15285, 2055, 4656, 15943, 14157, 1135, 6537, 121, 14320, 3451, 1239, 1446, 1135, 5368, 6030, 1233, 8526, 7982, 15882, 1161, 2893, 1813, 7745, 2610, 3318, 1602, 1959, 2023, 14157, 1449, 9193, 11658, 1346, 28111, 24488, 119, 1410, 1918, 120, 4155, 1285, 7940, 1107, 14733, 1171, 1135, 3341, 27342, 1361, 1553, 32001, 1424, 32000, 20036, 6538, 10515, 1227, 3151, 26883, 1125, 26903, 24671, 14524, 9053, 1186, 488, 124, 132, 129, 130, 1388, 5018, 172, 1183, 18969, 1346, 15098, 5163, 1125, 1158, 10139, 2114, 1110, 5131, 3118, 1309, 13102, 7029, 1125, 1158, 15038, 6400, 1370, 1197, 2605, 1232, 4038, 1125, 488, 124, 132, 129, 130, 1188, 28834, 5548, 7745, 2610, 3318, 18900, 1170, 26596, 3818, 10812, 1125, 1158, 6742, 17705, 12119, 1366, 28097, 141, 1215, 1189, 23504, 1362, 1189, 3274, 1186, 488, 124, 132, 129, 131, 30079, 14882, 1189, 26596, 3818, 9271, 1161, 1252, 1344, 10812, 1186, 488, 124, 132, 132, 132, 8370, 488, 125, 123, 124, 131, 119, 2399, 1299, 27172, 1317, 5158, 3531, 3781, 1197, 1186, 19957, 6229, 1967, 4597, 8756, 5158, 8173, 4023, 158, 3015, 1170, 12574, 1248, 15829, 1753, 7664, 2399, 1844, 3247, 1197, 488, 128, 123, 123, 1408, 7945, 23070, 1125, 2183, 1207, 2658, 7745, 1174, 8719, 8796, 13624, 1227, 23504, 5950, 1673, 25218, 119, 1110, 14577, 1318, 3643, 3451, 1125, 1158, 15038, 1469, 5620, 1863, 1156, 1186, 488, 124, 132, 131, 129, 1256, 1158, 11350, 17482, 1227, 3418, 1125, 16572, 3870, 1107, 24671, 3318, 121, 3450, 1281, 5971, 1313, 1207, 1270, 8752, 5682, 18131, 1167, 11181, 2097, 8370, 488, 124, 132, 130, 131, 119, 1207, 2893, 1813, 6375, 15285, 9442, 3839, 21146, 1170, 29680, 1469, 6728, 18424, 19571, 3451, 1299, 3993, 1286, 1125, 26903, 5368, 1233, 8526, 7982, 15882, 1161, 2893, 21226, 23178, 2610, 3318, 1110, 2445, 1913, 14132, 1215, 9193, 11658, 1346, 28111, 24488, 119, 1410, 1918, 120, 4155, 1285, 7940, 1107, 14733, 1171, 1135, 3341, 27342, 1361, 1553, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 6538, 10515, 1227, 3151, 26883, 1125, 26903, 24671, 14524, 9053, 1186, 488, 124, 132, 129, 130, 1388, 5018, 172, 1183, 18969, 1346, 15098, 5163, 1125, 1158, 10139, 2114, 1110, 5131, 3118, 1309, 13102, 7029, 1125, 1158, 15038, 6400, 1370, 1197, 2605, 1232, 4038, 1125, 488, 124, 132, 129, 130, 1188, 28834, 5548, 7745, 2610, 3318, 18900, 1170, 26596, 3818, 10812, 1125, 1158, 6742, 17705, 12119, 1366, 28097, 141, 1215, 1189, 23504, 1362, 1189, 3274, 1186, 488, 124, 132, 129, 131, 30079, 14882, 1189, 26596, 3818, 9271, 1161, 1252, 1344, 10812, 1186, 488, 124, 132, 132, 132, 8370, 488, 125, 123, 124, 131, 119, 2399, 1299, 27172, 1317, 5158, 3531, 3781, 1197, 1186, 19957, 6229, 1967, 4597, 8756, 5158, 8173, 4023, 158, 3015, 1170, 12574, 1248, 15829, 1753, 7664, 2399, 1844, 3247, 1197, 488, 128, 123, 123, 1408, 7945, 23070, 1125, 2183, 1207, 2658, 7745, 1174, 8719, 8796, 13624, 1227, 23504, 5950, 1673, 25218, 119, 1110, 14577, 1318, 3643, 3451, 1125, 1158, 15038, 1469, 5620, 1863, 1156, 1186, 488, 124, 132, 131, 129, 1256, 1158, 11350, 17482, 1227, 3418, 1125, 16572, 3870, 1107, 24671, 3318, 121, 3450, 1281, 5971, 1313, 1207, 1270, 8752, 5682, 18131, 1167, 11181, 2097, 8370, 488, 124, 132, 130, 131, 119, 1207, 2893, 1813, 6375, 15285, 9442, 3839, 21146, 1170, 29680, 1469, 6728, 18424, 19571, 3451, 1299, 3993, 1286, 1125, 26903, 5368, 1233, 8526, 7982, 15882, 1161, 2893, 21226, 23178, 2610, 3318, 1110, 2445, 1913, 14132, 1215, 9193, 11658, 1346, 28111, 24488, 119, 1410, 1918, 120, 4155, 1285, 7940, 1107, 14733, 1171, 1135, 3341, 27342, 1361, 1553, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 6880, 154, 8013, 244, 1197, 1192, 242, 4731, 1362, 4115, 1312, 1148, 1197, 1192, 242, 4731, 7933, 5216, 2528, 1575, 17140, 1121, 3382, 116, 1299, 1318, 16074, 1125, 1115, 1955, 1176, 9478, 2805, 5007, 1301, 19115, 116, 1125, 1158, 4446, 1197, 1266, 17024, 1132, 7726, 1965, 1125, 1158, 2290, 2874, 22137, 1197, 18014, 7490, 3382, 176, 1167, 1227, 7433, 1306, 5216, 2528, 1575, 8509, 5842, 3315, 1768, 1110, 1913, 12688, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 1215, 11868, 17726, 1265, 2133, 1109, 7478, 1306, 5597, 185, 7543, 1784, 1107, 1186, 488, 124, 131, 132, 132, 7745, 1869, 25145, 1257, 18014, 7490, 1153, 17140, 1121, 1109, 1153, 7543, 1784, 1659, 488, 124, 131, 132, 132, 134, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 2040, 1509, 154, 191, 1569, 1124, 1518, 1506, 189, 7243, 168, 7885, 10599, 26350, 1183, 11974, 2576, 9659, 1312, 1148, 1197, 1192, 242, 4731, 1281, 1874, 1232, 17397, 4731, 1293, 2091, 5006, 1186, 9400, 7745, 1212, 120, 4870, 243, 1887, 1362, 24868, 4870, 243, 1887, 1362, 14360, 10210, 1104, 1306, 5216, 2528, 1575, 2382, 1208, 1187, 1811, 1350, 176, 26547, 1205, 119, 488, 124, 132, 131, 124, 2040, 6389, 27881, 1148, 14609, 176, 26547, 27619, 2769, 3487, 1188, 7529, 1457, 1306, 5216, 2528, 1575, 22678, 2497, 1462, 1120, 1548, 10693, 4790, 488, 124, 132, 126, 128, 2040, 6389, 27881, 1148, 1125, 1548, 10693, 5238, 2769, 3487, 1188, 6280, 186, 29083, 2497, 29227, 2576, 9659, 1312, 1148, 1197, 1192, 242, 4731, 1299, 1125, 7099, 1557, 2548, 13057, 1794, 6664, 1469, 1318, 11350, 1994, 28612, 1366, 1408, 1455, 3693, 2069, 15711, 1634, 22573, 1717, 1571, 1151, 7097, 1842, 2487, 6113, 1188, 1282, 1301, 1398, 119, 1170, 1667, 6676, 244, 2519, 1360, 1678, 1835, 174, 2950, 3798, 1548, 11325, 1126, 5004, 1318, 1111, 2291, 1171, 1150, 1636, 8469, 1906, 11559, 8155, 17672, 1197, 1151, 7097, 1842, 1299, 10993, 4496, 1207, 1601, 7097, 1842, 1508, 1557, 2548, 1131, 9031, 5044, 1473, 2519, 3028, 16816, 9419, 25115, 9663, 180, 4058, 29145, 1451, 1125, 3035, 1167, 12841, 3802, 1162, 2576, 9659, 1312, 1148, 1197, 1192, 242, 4731, 23404, 1186, 1318, 13964, 1835, 2798, 1167, 2822, 1388, 3956, 2972, 1166, 22970, 6280, 21351, 1166, 10657, 1299, 1252, 1182, 1308, 172, 1225, 1287, 1514, 24962, 174, 4058, 1167, 6847, 2576, 9659, 1312, 1148, 1197, 1192, 242, 4731, 1299, 2595, 7670, 1571, 1192, 242, 4731, 9663, 18447, 2249, 1768, 2022, 1468, 1313, 1207, 1113, 3515, 2067, 1705, 1104, 1388, 2101, 6736, 6218, 8774, 5760, 2666, 24557, 11413, 9116, 160, 116, 2666, 1186, 9626, 1175, 1743, 4023, 5449, 1142, 1128, 20891, 1548, 21709, 1110, 26963, 1189, 3498, 1829, 1188, 1594, 1821, 1205, 1214, 1186, 488, 125, 123, 123, 132, 11488, 1167, 20117, 2072, 11130, 5888, 176, 1200, 1955, 1176, 9478, 1450, 9663, 13449, 12141, 1197, 4105, 19115, 22572, 1167, 5519, 9971, 1227, 31082, 6291, 1519, 1541, 1167, 18096, 1182, 183, 2357, 9193, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 21476, 1140, 14187, 1306, 1205, 178, 1554, 1167, 12330, 1119, 9941, 1248, 25095, 1175, 124, 132, 131, 131, 1576, 12141, 1197, 4105, 19115, 22572, 4297, 121, 6291, 1519, 1541, 1167, 18096, 1182, 5012, 1175, 3562, 1153, 7821, 4023, 28870, 5825, 1200, 1955, 1176, 9478, 1450, 29610, 26350, 1183, 4010, 116, 18014, 7490, 3382, 176, 13981, 1515, 2283, 16738, 1197, 1192, 242, 1121, 1457, 114, 32001, 1424, 32000, 20036, 3616, 17397, 4731, 1293, 2091, 5006, 1329, 17397, 4731, 14586, 7933, 5216, 2528, 1575, 17140, 1121, 3382, 116, 1239, 1110, 13594, 1161, 27715, 14796, 1104, 1147, 1135, 4772, 1266, 17024, 1132, 7726, 1965, 1994, 177, 14017, 18014, 7490, 3382, 1965, 1171, 3998, 1153, 1306, 5216, 2528, 1575, 1388, 4479, 30630, 1988, 1463, 9463, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 1449, 11868, 17726, 1265, 2133, 1109, 7478, 1306, 5597, 185, 7543, 1784, 1107, 1147, 488, 124, 131, 132, 132, 7745, 1869, 3994, 1903, 133, 18014, 7490, 1153, 17140, 1121, 1109, 1153, 7543, 1784, 1659, 488, 124, 131, 132, 132, 134, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 134, 1509, 154, 191, 1569, 1124, 1518, 1506, 189, 7243, 168, 8273, 2508, 1105, 6061, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 4494, 17397, 4731, 1293, 2091, 5006, 1147, 6938, 7745, 3913, 1954, 1429, 1329, 21723, 2059, 1954, 1429, 1329, 10210, 13594, 1306, 5216, 2528, 1575, 2382, 1208, 1187, 1811, 1350, 176, 26547, 1205, 119, 488, 124, 132, 131, 124, 134, 1350, 176, 26547, 1205, 1361, 1293, 2091, 183, 2241, 8669, 1147, 7529, 1457, 1306, 5216, 2528, 1575, 22678, 2497, 1462, 1120, 1548, 10693, 4790, 488, 124, 132, 126, 128, 134, 1548, 10693, 177, 1361, 1293, 2091, 183, 2241, 8669, 1147, 6280, 186, 29083, 2497, 29227, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 1106, 1770, 4942, 22693, 1147, 4203, 119, 1324, 1110, 1115, 20151, 1994, 184, 1700, 7261, 6806, 119, 2197, 15711, 1130, 1143, 7452, 1333, 1238, 1135, 5993, 194, 1972, 1704, 1355, 1135, 1110, 1326, 4951, 1543, 11126, 1156, 1449, 1151, 1597, 24645, 1360, 1149, 2596, 1410, 18371, 1602, 1110, 2632, 2517, 12051, 1171, 1150, 1636, 1474, 10828, 6043, 16383, 1468, 1161, 1135, 5993, 194, 1972, 1239, 4426, 5567, 1135, 1166, 1490, 194, 1972, 1393, 9613, 22693, 1324, 1110, 9419, 20480, 7502, 2458, 9663, 180, 4529, 3758, 1580, 5529, 1171, 1166, 1456, 1608, 1162, 1410, 17397, 4731, 1293, 2091, 5006, 1131, 19493, 1147, 1704, 14612, 2910, 6384, 1171, 7357, 10177, 1531, 17553, 14835, 6173, 8082, 1239, 1252, 1182, 1308, 172, 1225, 1287, 1514, 1388, 144, 174, 4529, 1171, 6847, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 2155, 3218, 1147, 1135, 17397, 4731, 10177, 20414, 1988, 1432, 3016, 1147, 25020, 196, 3438, 21346, 1388, 2101, 6736, 14835, 6020, 1239, 5137, 30026, 9116, 160, 116, 1329, 2283, 3711, 1156, 1175, 1743, 4023, 5449, 1142, 4704, 21709, 16079, 1110, 1290, 1916, 21758, 1341, 1147, 488, 125, 123, 123, 132, 11488, 1171, 22874, 1194, 21320, 1959, 7560, 1589, 3477, 1548, 31087, 21429, 172, 9663, 4807, 11114, 12141, 1161, 1135, 27715, 14796, 1104, 1161, 4159, 1171, 5584, 6461, 1810, 6291, 1519, 1541, 1171, 18096, 1182, 183, 2357, 9193, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 21476, 1140, 14187, 1306, 1205, 2525, 1285, 1171, 12330, 1119, 9941, 1248, 25095, 1175, 124, 132, 131, 131, 1576, 12141, 1161, 1135, 27715, 14796, 1104, 1161, 27958, 6291, 1519, 1541, 1171, 18096, 1182, 5012, 1175, 3562, 1153, 7821, 4023, 26722, 14520, 1548, 31087, 21429, 172, 1175, 14781, 2220, 116, 18014, 7490, 3382, 176, 1653, 1208, 6729, 2490, 14570, 1161, 1135, 17397, 1121, 1457, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 17397, 4731, 1293, 2091, 5006, 1329, 17397, 4731, 14586, 7933, 5216, 2528, 1575, 17140, 1121, 3382, 116, 1239, 1110, 13594, 1161, 27715, 14796, 1104, 1147, 1135, 4772, 1266, 17024, 1132, 7726, 1965, 1994, 177, 14017, 18014, 7490, 3382, 1965, 1171, 3998, 1153, 1306, 5216, 2528, 1575, 1388, 4479, 30630, 1988, 1463, 9463, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 1449, 11868, 17726, 1265, 2133, 1109, 7478, 1306, 5597, 185, 7543, 1784, 1107, 1147, 488, 124, 131, 132, 132, 7745, 1869, 3994, 1903, 133, 18014, 7490, 1153, 17140, 1121, 1109, 1153, 7543, 1784, 1659, 488, 124, 131, 132, 132, 134, 1306, 5216, 2528, 1575, 17140, 1121, 3382, 134, 1509, 154, 191, 1569, 1124, 1518, 1506, 189, 7243, 168, 8273, 2508, 1105, 6061, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 4494, 17397, 4731, 1293, 2091, 5006, 1147, 6938, 7745, 3913, 1954, 1429, 1329, 21723, 2059, 1954, 1429, 1329, 10210, 13594, 1306, 5216, 2528, 1575, 2382, 1208, 1187, 1811, 1350, 176, 26547, 1205, 119, 488, 124, 132, 131, 124, 134, 1350, 176, 26547, 1205, 1361, 1293, 2091, 183, 2241, 8669, 1147, 7529, 1457, 1306, 5216, 2528, 1575, 22678, 2497, 1462, 1120, 1548, 10693, 4790, 488, 124, 132, 126, 128, 134, 1548, 10693, 177, 1361, 1293, 2091, 183, 2241, 8669, 1147, 6280, 186, 29083, 2497, 29227, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 1106, 1770, 4942, 22693, 1147, 4203, 119, 1324, 1110, 1115, 20151, 1994, 184, 1700, 7261, 6806, 119, 2197, 15711, 1130, 1143, 7452, 1333, 1238, 1135, 5993, 194, 1972, 1704, 1355, 1135, 1110, 1326, 4951, 1543, 11126, 1156, 1449, 1151, 1597, 24645, 1360, 1149, 2596, 1410, 18371, 1602, 1110, 2632, 2517, 12051, 1171, 1150, 1636, 1474, 10828, 6043, 16383, 1468, 1161, 1135, 5993, 194, 1972, 1239, 4426, 5567, 1135, 1166, 1490, 194, 1972, 1393, 9613, 22693, 1324, 1110, 9419, 20480, 7502, 2458, 9663, 180, 4529, 3758, 1580, 5529, 1171, 1166, 1456, 1608, 1162, 1410, 17397, 4731, 1293, 2091, 5006, 1131, 19493, 1147, 1704, 14612, 2910, 6384, 1171, 7357, 10177, 1531, 17553, 14835, 6173, 8082, 1239, 1252, 1182, 1308, 172, 1225, 1287, 1514, 1388, 144, 174, 4529, 1171, 6847, 1410, 17397, 4731, 1293, 2091, 5006, 1239, 2155, 3218, 1147, 1135, 17397, 4731, 10177, 20414, 1988, 1432, 3016, 1147, 25020, 196, 3438, 21346, 1388, 2101, 6736, 14835, 6020, 1239, 5137, 30026, 9116, 160, 116, 1329, 2283, 3711, 1156, 1175, 1743, 4023, 5449, 1142, 4704, 21709, 16079, 1110, 1290, 1916, 21758, 1341, 1147, 488, 125, 123, 123, 132, 11488, 1171, 22874, 1194, 21320, 1959, 7560, 1589, 3477, 1548, 31087, 21429, 172, 9663, 4807, 11114, 12141, 1161, 1135, 27715, 14796, 1104, 1161, 4159, 1171, 5584, 6461, 1810, 6291, 1519, 1541, 1171, 18096, 1182, 183, 2357, 9193, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 21476, 1140, 14187, 1306, 1205, 2525, 1285, 1171, 12330, 1119, 9941, 1248, 25095, 1175, 124, 132, 131, 131, 1576, 12141, 1161, 1135, 27715, 14796, 1104, 1161, 27958, 6291, 1519, 1541, 1171, 18096, 1182, 5012, 1175, 3562, 1153, 7821, 4023, 26722, 14520, 1548, 31087, 21429, 172, 1175, 14781, 2220, 116, 18014, 7490, 3382, 176, 1653, 1208, 6729, 2490, 14570, 1161, 1135, 17397, 1121, 1457, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 31812, 17797, 1175, 5018, 16843, 17797, 1147, 6938, 116, 1393, 1110, 3473, 2059, 1715, 12621, 22255, 1449, 1135, 5940, 9641, 17797, 9756, 1175, 3463, 11543, 116, 2600, 2197, 3162, 3976, 488, 124, 132, 131, 128, 1388, 8857, 3232, 12498, 2436, 5641, 3616, 1209, 4174, 140, 7455, 1602, 1135, 3602, 5641, 2938, 5018, 1126, 1161, 1671, 185, 1591, 3335, 3615, 2588, 488, 124, 132, 132, 132, 25614, 5945, 186, 3615, 2588, 488, 125, 123, 125, 125, 1260, 162, 1182, 1608, 3122, 1328, 25010, 1126, 1161, 1325, 1580, 2911, 1456, 5663, 28644, 19886, 182, 4530, 1628, 172, 1532, 1724, 172, 27659, 8670, 8270, 9641, 1628, 16697, 2621, 31577, 1456, 5663, 28644, 1239, 1135, 2155, 6644, 1302, 1239, 1375, 1151, 13798, 1388, 4499, 1107, 5641, 24281, 179, 3524, 1194, 15481, 1493, 1201, 1194, 124, 132, 131, 128, 133, 3122, 1126, 1161, 3318, 106, 124, 132, 131, 130, 133, 3276, 1608, 1206, 18100, 124, 132, 131, 132, 133, 14299, 4970, 9641, 2523, 124, 132, 132, 124, 133, 488, 221, 2621, 9641, 2523, 124, 132, 132, 126, 133, 3122, 1126, 1161, 1325, 1580, 106, 124, 132, 132, 128, 133, 23242, 5663, 28644, 106, 124, 132, 132, 130, 133, 22021, 106, 124, 132, 132, 132, 133, 1293, 1190, 2621, 106, 125, 123, 123, 124, 133, 3122, 1126, 1161, 3318, 106, 125, 123, 123, 126, 133, 3276, 1608, 1206, 18100, 125, 123, 123, 128, 133, 3676, 191, 2621, 9641, 2523, 125, 123, 123, 130, 133, 9810, 3524, 106, 125, 123, 123, 132, 133, 488, 221, 2621, 9641, 2523, 125, 123, 124, 124, 133, 3122, 1126, 1161, 1325, 1580, 106, 125, 123, 124, 126, 133, 1233, 2719, 1506, 6472, 125, 123, 124, 128, 133, 22021, 106, 125, 123, 124, 130, 133, 1293, 1190, 2621, 106, 125, 123, 124, 132, 133, 23242, 5663, 28644, 106, 125, 123, 125, 124, 133, 1116, 1336, 2128, 5404, 1163, 1135, 16782, 124, 132, 17743, 2278, 10042, 488, 131, 120, 124, 127, 119, 488, 125, 123, 125, 126, 133, 3276, 1608, 22944, 11934, 1715, 30361, 2447, 8271, 13798, 190, 6835, 2910, 488, 124, 125, 1171, 488, 124, 127, 3259, 10617, 1446, 1135, 3602, 2396, 2938, 140, 1276, 1126, 3750, 1175, 5470, 7499, 141, 1217, 184, 19527, 1175, 5470, 7499, 141, 1141, 2427, 3891, 1175, 5470, 7499, 141, 1246, 5006, 1175, 5470, 7499, 142, 6770, 1149, 1175, 5470, 7499, 145, 2836, 3891, 1175, 5470, 7499, 146, 7776, 1175, 5470, 7499, 146, 3291, 185, 1141, 3750, 1175, 5470, 7499, 149, 28209, 1175, 5470, 7499, 25697, 27923, 1175, 5470, 7499, 158, 1134, 2215, 1175, 5470, 7499, 159, 12607, 1175, 5470, 7499, 6379, 1198, 12607, 1175, 5470, 7499, 4506, 2836, 1149, 1175, 5470, 7499, 15779, 1884, 1175, 5470, 7499, 159, 1164, 1495, 9957, 1175, 5470, 7499, 158, 25239, 1175, 5470, 7499, 161, 1172, 4279, 3891, 1175, 5470, 21717, 1891, 9520, 1194, 21320, 1959, 1194, 12225, 1589, 3477, 2056, 1217, 184, 19527, 1355, 1135, 9641, 17797, 1194, 26722, 4672, 3052, 9253, 1474, 4877, 1194, 2700, 31149, 20883, 1147, 488, 124, 132, 131, 128, 32001, 1424, 32000, 20036, 2608, 10765, 1197, 20403, 5790, 5018, 16843, 17797, 1186, 9400, 116, 1508, 1318, 15142, 3473, 2059, 4536, 22008, 1215, 1282, 15297, 10903, 1197, 6578, 1197, 20403, 1175, 3463, 11543, 116, 2183, 1207, 2069, 2165, 2757, 488, 124, 132, 131, 128, 1388, 8857, 3576, 1194, 8857, 3576, 2981, 1785, 22066, 3463, 11543, 2803, 11041, 488, 8623, 1424, 488, 16617, 1126, 1304, 1671, 185, 1591, 3335, 11779, 25699, 488, 124, 132, 132, 132, 1260, 488, 3686, 20694, 11779, 25699, 488, 125, 123, 125, 125, 1260, 488, 1306, 3727, 22682, 16341, 2137, 106, 488, 16617, 1126, 1125, 1325, 1580, 106, 488, 23242, 5663, 28644, 106, 488, 3225, 174, 5493, 106, 488, 6280, 1532, 1724, 6472, 488, 16617, 1126, 13894, 7002, 24872, 106, 488, 3676, 191, 2621, 31577, 1456, 5663, 28644, 1299, 1170, 4374, 6711, 1357, 4249, 1382, 1318, 488, 11363, 1388, 2439, 174, 2624, 4634, 1424, 1424, 488, 9810, 3524, 1194, 15481, 1120, 2518, 2093, 488, 124, 132, 131, 128, 1257, 488, 11363, 1125, 3318, 106, 488, 124, 132, 131, 130, 1257, 3276, 1608, 1983, 18100, 488, 124, 132, 131, 132, 1257, 20403, 1252, 3149, 244, 106, 488, 124, 132, 132, 124, 1257, 20403, 1304, 221, 2621, 106, 488, 124, 132, 132, 126, 1257, 488, 11363, 1125, 1325, 1580, 106, 488, 124, 132, 132, 128, 1257, 23242, 5663, 28644, 106, 488, 124, 132, 132, 130, 1257, 22021, 106, 488, 124, 132, 132, 132, 1257, 1293, 1190, 2621, 106, 488, 125, 123, 123, 124, 1257, 488, 11363, 1125, 3318, 106, 488, 125, 123, 123, 126, 1257, 3276, 1608, 1983, 18100, 488, 125, 123, 123, 128, 1257, 20403, 3676, 191, 2621, 106, 488, 125, 123, 123, 130, 1257, 9810, 3524, 106, 488, 125, 123, 123, 132, 1257, 20403, 1304, 221, 2621, 106, 488, 125, 123, 124, 124, 1257, 488, 11363, 1125, 1325, 1580, 106, 488, 125, 123, 124, 126, 1257, 1233, 2719, 4119, 106, 488, 125, 123, 124, 128, 1257, 22021, 106, 488, 125, 123, 124, 130, 1257, 1293, 1190, 2621, 106, 488, 125, 123, 124, 132, 1257, 23242, 5663, 28644, 106, 125, 123, 125, 124, 1257, 1894, 10898, 1188, 4262, 1125, 1158, 19667, 1125, 16782, 124, 132, 106, 488, 131, 120, 124, 127, 2921, 488, 125, 123, 125, 126, 1257, 3276, 1608, 1983, 196, 11934, 4536, 18805, 20403, 4643, 21124, 4040, 6369, 1835, 488, 124, 125, 1167, 488, 124, 127, 10617, 5542, 7630, 1158, 4575, 10549, 8623, 15989, 5012, 13780, 6700, 1234, 18036, 1260, 14729, 184, 19527, 6700, 1234, 18036, 1260, 30503, 27389, 6700, 1234, 18036, 1260, 15125, 5006, 6700, 1234, 18036, 1260, 1165, 6770, 2923, 6700, 1234, 18036, 1260, 17295, 6700, 1234, 18036, 1260, 24756, 6700, 1234, 18036, 1260, 1293, 3291, 185, 21668, 6700, 1234, 18036, 1260, 11597, 186, 6700, 1234, 18036, 1260, 22356, 1162, 6700, 1234, 18036, 1260, 1173, 1134, 2215, 6700, 1234, 18036, 1260, 1198, 12607, 6700, 1234, 18036, 1260, 1198, 12607, 1125, 3267, 6700, 1234, 18036, 1260, 1198, 1187, 6700, 1234, 18036, 1260, 1198, 1187, 1188, 1282, 4691, 6700, 1234, 18036, 1260, 8009, 1495, 9957, 6700, 1234, 18036, 1260, 7626, 1399, 6700, 1234, 18036, 1260, 7584, 4279, 27389, 6700, 1234, 18036, 1718, 10853, 13459, 2072, 1194, 11333, 5888, 176, 1424, 14729, 184, 19527, 1571, 10765, 1197, 28836, 5532, 1354, 16718, 1424, 7649, 9229, 1194, 8039, 244, 4538, 16512, 1186, 488, 124, 132, 131, 128, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2608, 10765, 1197, 20403, 5790, 5018, 16843, 17797, 1186, 9400, 116, 1508, 1318, 15142, 3473, 2059, 4536, 22008, 1215, 1282, 15297, 10903, 1197, 6578, 1197, 20403, 1175, 3463, 11543, 116, 2183, 1207, 2069, 2165, 2757, 488, 124, 132, 131, 128, 1388, 8857, 3576, 1194, 8857, 3576, 2981, 1785, 22066, 3463, 11543, 2803, 11041, 488, 8623, 1424, 488, 16617, 1126, 1304, 1671, 185, 1591, 3335, 11779, 25699, 488, 124, 132, 132, 132, 1260, 488, 3686, 20694, 11779, 25699, 488, 125, 123, 125, 125, 1260, 488, 1306, 3727, 22682, 16341, 2137, 106, 488, 16617, 1126, 1125, 1325, 1580, 106, 488, 23242, 5663, 28644, 106, 488, 3225, 174, 5493, 106, 488, 6280, 1532, 1724, 6472, 488, 16617, 1126, 13894, 7002, 24872, 106, 488, 3676, 191, 2621, 31577, 1456, 5663, 28644, 1299, 1170, 4374, 6711, 1357, 4249, 1382, 1318, 488, 11363, 1388, 2439, 174, 2624, 4634, 1424, 1424, 488, 9810, 3524, 1194, 15481, 1120, 2518, 2093, 488, 124, 132, 131, 128, 1257, 488, 11363, 1125, 3318, 106, 488, 124, 132, 131, 130, 1257, 3276, 1608, 1983, 18100, 488, 124, 132, 131, 132, 1257, 20403, 1252, 3149, 244, 106, 488, 124, 132, 132, 124, 1257, 20403, 1304, 221, 2621, 106, 488, 124, 132, 132, 126, 1257, 488, 11363, 1125, 1325, 1580, 106, 488, 124, 132, 132, 128, 1257, 23242, 5663, 28644, 106, 488, 124, 132, 132, 130, 1257, 22021, 106, 488, 124, 132, 132, 132, 1257, 1293, 1190, 2621, 106, 488, 125, 123, 123, 124, 1257, 488, 11363, 1125, 3318, 106, 488, 125, 123, 123, 126, 1257, 3276, 1608, 1983, 18100, 488, 125, 123, 123, 128, 1257, 20403, 3676, 191, 2621, 106, 488, 125, 123, 123, 130, 1257, 9810, 3524, 106, 488, 125, 123, 123, 132, 1257, 20403, 1304, 221, 2621, 106, 488, 125, 123, 124, 124, 1257, 488, 11363, 1125, 1325, 1580, 106, 488, 125, 123, 124, 126, 1257, 1233, 2719, 4119, 106, 488, 125, 123, 124, 128, 1257, 22021, 106, 488, 125, 123, 124, 130, 1257, 1293, 1190, 2621, 106, 488, 125, 123, 124, 132, 1257, 23242, 5663, 28644, 106, 125, 123, 125, 124, 1257, 1894, 10898, 1188, 4262, 1125, 1158, 19667, 1125, 16782, 124, 132, 106, 488, 131, 120, 124, 127, 2921, 488, 125, 123, 125, 126, 1257, 3276, 1608, 1983, 196, 11934, 4536, 18805, 20403, 4643, 21124, 4040, 6369, 1835, 488, 124, 125, 1167, 488, 124, 127, 10617, 5542, 7630, 1158, 4575, 10549, 8623, 15989, 5012, 13780, 6700, 1234, 18036, 1260, 14729, 184, 19527, 6700, 1234, 18036, 1260, 30503, 27389, 6700, 1234, 18036, 1260, 15125, 5006, 6700, 1234, 18036, 1260, 1165, 6770, 2923, 6700, 1234, 18036, 1260, 17295, 6700, 1234, 18036, 1260, 24756, 6700, 1234, 18036, 1260, 1293, 3291, 185, 21668, 6700, 1234, 18036, 1260, 11597, 186, 6700, 1234, 18036, 1260, 22356, 1162, 6700, 1234, 18036, 1260, 1173, 1134, 2215, 6700, 1234, 18036, 1260, 1198, 12607, 6700, 1234, 18036, 1260, 1198, 12607, 1125, 3267, 6700, 1234, 18036, 1260, 1198, 1187, 6700, 1234, 18036, 1260, 1198, 1187, 1188, 1282, 4691, 6700, 1234, 18036, 1260, 8009, 1495, 9957, 6700, 1234, 18036, 1260, 7626, 1399, 6700, 1234, 18036, 1260, 7584, 4279, 27389, 6700, 1234, 18036, 1718, 10853, 13459, 2072, 1194, 11333, 5888, 176, 1424, 14729, 184, 19527, 1571, 10765, 1197, 28836, 5532, 1354, 16718, 1424, 7649, 9229, 1194, 8039, 244, 4538, 16512, 1186, 488, 124, 132, 131, 128, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18604, 5934, 5161, 1282, 24822, 1125, 20415, 1299, 1318, 3028, 2143, 6196, 18041, 1460, 1362, 1338, 7615, 6365, 1125, 5685, 24389, 1318, 6300, 1362, 1189, 7674, 1388, 2029, 27792, 1125, 20415, 11358, 1318, 3620, 1167, 1318, 23813, 14685, 1366, 1357, 2830, 1823, 1362, 2081, 3635, 1104, 24962, 6165, 12320, 1132, 1125, 1282, 9725, 1227, 9221, 1125, 9576, 2071, 1158, 3620, 1125, 1282, 24822, 1125, 20415, 2856, 3747, 1125, 13969, 1158, 3620, 8214, 29345, 1158, 12029, 24443, 1655, 1378, 1167, 1170, 3013, 4473, 1107, 4094, 2519, 1998, 1890, 15762, 1388, 11951, 1304, 2012, 1104, 11050, 17840, 14958, 2093, 13766, 1823, 28208, 1125, 3635, 1965, 1189, 27792, 1125, 20415, 3233, 9567, 4411, 17300, 1215, 3598, 1317, 5773, 1357, 24389, 6365, 1125, 26467, 1867, 6698, 1561, 4595, 3233, 2445, 9931, 3635, 1965, 3702, 1189, 10250, 11157, 4473, 1107, 29325, 1317, 3285, 1125, 1158, 9576, 2392, 2576, 244, 5592, 1227, 9221, 1125, 20415, 6365, 2335, 27792, 14958, 1281, 1844, 7492, 1256, 1189, 5773, 10213, 10406, 12951, 1856, 6058, 1189, 6999, 2487, 7652, 1678, 1160, 1197, 1998, 3093, 1357, 1170, 16786, 16810, 2227, 2851, 1440, 1357, 1281, 18583, 1215, 1197, 14894, 1167, 1318, 4438, 1357, 1508, 1290, 12830, 23178, 180, 1282, 24822, 1299, 14958, 1186, 4595, 1167, 1186, 25772, 11582, 1994, 1123, 1189, 9221, 1125, 20415, 10756, 8509, 4751, 1460, 1125, 20415, 1194, 2103, 244, 1121, 2247, 1197, 25423, 17713, 7846, 2093, 151, 1500, 6055, 1105, 20265, 13969, 1170, 3013, 4473, 1107, 4094, 488, 2335, 5773, 1186, 20415, 1167, 1309, 1282, 24822, 1125, 20415, 1125, 1440, 5773, 1288, 1281, 18381, 1382, 1186, 1594, 4779, 1125, 14707, 3835, 152, 1496, 9689, 1227, 18041, 2247, 1197, 25423, 17713, 7846, 2856, 1125, 13969, 1158, 6127, 10549, 8623, 12736, 488, 1299, 1158, 14707, 1227, 5773, 1167, 488, 1158, 6477, 1466, 4552, 1146, 4010, 11660, 1199, 1170, 4779, 1125, 14707, 1125, 11582, 1125, 1282, 24822, 1125, 20415, 6034, 1320, 2832, 11050, 17840, 1125, 1158, 14070, 1424, 224, 9566, 1180, 1276, 3333, 9321, 121, 488, 125, 130, 129, 1323, 13953, 488, 124, 132, 127, 1305, 121, 6709, 3926, 12359, 2985, 1170, 3151, 1188, 17654, 1107, 1282, 3720, 1109, 5540, 1125, 6577, 6448, 1960, 1300, 1282, 2603, 1793, 22418, 1112, 18726, 3720, 1109, 5540, 1125, 1282, 24822, 1125, 20415, 1125, 1158, 14070, 1215, 3598, 1188, 1318, 1466, 4552, 1146, 4010, 1317, 2678, 12904, 6448, 8640, 22072, 1313, 1170, 16896, 3767, 29946, 1238, 9563, 7492, 2519, 2123, 1109, 5540, 1125, 488, 125, 126, 210, 125, 130, 1521, 11976, 1606, 9993, 1524, 1125, 488, 125, 126, 210, 1388, 18882, 2123, 3356, 2093, 2029, 5773, 3002, 1307, 21987, 1856, 1318, 16393, 1450, 1362, 1189, 27706, 2944, 8466, 2388, 1170, 2102, 2335, 2678, 2123, 3356, 11358, 1189, 27792, 14958, 14722, 1186, 1594, 4779, 1125, 14707, 121, 9997, 1527, 1288, 13523, 1382, 1189, 9221, 1125, 20415, 3815, 1734, 1594, 27792, 1125, 20415, 4249, 1382, 14958, 1186, 3620, 1257, 1527, 16810, 4222, 3250, 1317, 4779, 1227, 5773, 1167, 8295, 2774, 1594, 10163, 11488, 1167, 5474, 25194, 17935, 13374, 5888, 8968, 1459, 1395, 1109, 5540, 1125, 1282, 24822, 106, 21210, 1162, 1313, 21309, 106, 1204, 30190, 30380, 1189, 1221, 7966, 17994, 13776, 4751, 1460, 1227, 22880, 1750, 24398, 32001, 1424, 32000, 20036, 3229, 6517, 17354, 1135, 13546, 1161, 20415, 1239, 1110, 11917, 119, 26931, 3043, 1329, 3887, 2458, 3575, 1758, 1110, 6300, 1329, 7674, 9576, 2026, 1388, 2439, 13546, 1161, 20415, 1602, 1110, 23149, 3620, 1171, 23813, 1302, 2277, 1329, 2277, 1375, 1280, 13499, 7552, 20781, 4907, 1161, 9576, 1967, 15383, 4989, 3366, 1135, 3620, 1161, 1135, 13546, 1161, 20415, 8647, 1226, 1135, 8073, 1162, 1161, 8214, 2344, 25772, 24443, 4193, 13692, 1237, 6357, 1171, 3013, 1161, 1147, 1107, 21352, 1161, 1110, 3397, 30752, 1388, 11951, 1161, 25423, 23159, 12162, 13546, 1194, 3138, 1280, 22997, 1296, 3635, 2754, 1151, 13546, 1161, 20415, 3210, 5841, 17300, 5776, 1163, 1135, 5111, 9576, 2267, 3575, 5081, 30128, 2019, 4595, 3210, 1959, 5841, 3635, 2754, 6612, 1163, 1151, 1147, 1107, 10090, 2577, 4048, 3545, 9576, 2392, 1410, 5705, 1161, 9576, 1967, 15383, 3575, 1110, 13499, 13546, 1239, 13241, 4939, 1226, 1110, 10213, 1176, 28727, 8782, 1296, 1151, 3669, 8957, 30940, 1161, 16786, 31536, 12034, 2227, 2851, 14068, 1147, 17300, 14894, 1171, 10155, 22836, 1135, 13546, 1239, 13499, 1147, 4595, 1171, 25772, 1135, 3669, 2670, 3166, 1104, 10756, 9576, 1967, 15383, 22341, 1190, 1967, 6876, 3674, 1194, 2951, 13317, 13546, 1135, 15659, 1194, 9916, 8073, 1149, 1135, 3013, 1161, 1147, 1107, 21352, 1161, 1110, 9576, 2267, 5111, 1171, 1135, 13546, 1161, 20415, 1239, 1375, 1355, 2019, 8302, 1161, 4815, 3835, 152, 1496, 1135, 2179, 1161, 1135, 20641, 13546, 1135, 15659, 8647, 1226, 1135, 3602, 7107, 1163, 1280, 14452, 2938, 5985, 488, 1239, 1135, 4815, 1161, 1135, 5111, 1171, 488, 1239, 1135, 1466, 4552, 1146, 2344, 6477, 7064, 2267, 1135, 8302, 1161, 4815, 1161, 1135, 3669, 1446, 1135, 13546, 1161, 20415, 7820, 1194, 144, 8339, 1361, 13546, 2586, 9566, 1180, 9657, 1104, 1175, 2956, 488, 125, 130, 129, 1323, 15732, 488, 124, 132, 127, 1233, 20106, 1463, 1135, 1940, 1163, 24757, 1135, 2123, 3315, 1161, 1135, 4037, 6448, 1310, 1238, 1135, 22418, 21168, 3252, 2111, 6043, 2123, 3315, 1161, 13220, 1361, 13546, 1161, 20415, 5776, 1163, 1110, 1466, 4552, 1146, 2344, 1163, 1135, 4037, 6448, 1310, 19620, 2739, 1429, 2060, 7824, 31627, 1341, 1239, 13241, 18847, 1163, 1296, 1151, 2123, 3315, 1161, 488, 125, 126, 210, 125, 130, 1521, 1329, 1235, 8149, 109, 1163, 488, 125, 126, 210, 6649, 1395, 4454, 19620, 11050, 3002, 30163, 1212, 28727, 2141, 1110, 16393, 1371, 1329, 1110, 27706, 1659, 8466, 4258, 4957, 1151, 2123, 4454, 2678, 1965, 1602, 1110, 13499, 13546, 18907, 2488, 2019, 8302, 1161, 7193, 1297, 6067, 1341, 2778, 1375, 2670, 3166, 10756, 9576, 1967, 15383, 2849, 2019, 13546, 1161, 20415, 1239, 1375, 13499, 1147, 3620, 133, 1341, 4222, 9482, 12034, 1355, 1135, 8302, 1161, 1135, 5111, 1171, 14213, 2019, 3585, 1388, 1891, 9520, 1194, 21320, 1959, 1530, 195, 1120, 2123, 3315, 1750, 24398, 1147, 4812, 5194, 10149, 5405, 2344, 15383, 12323, 4807, 11114, 11934, 6000, 5111, 6876, 3674, 1750, 24398, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3229, 6517, 17354, 1135, 13546, 1161, 20415, 1239, 1110, 11917, 119, 26931, 3043, 1329, 3887, 2458, 3575, 1758, 1110, 6300, 1329, 7674, 9576, 2026, 1388, 2439, 13546, 1161, 20415, 1602, 1110, 23149, 3620, 1171, 23813, 1302, 2277, 1329, 2277, 1375, 1280, 13499, 7552, 20781, 4907, 1161, 9576, 1967, 15383, 4989, 3366, 1135, 3620, 1161, 1135, 13546, 1161, 20415, 8647, 1226, 1135, 8073, 1162, 1161, 8214, 2344, 25772, 24443, 4193, 13692, 1237, 6357, 1171, 3013, 1161, 1147, 1107, 21352, 1161, 1110, 3397, 30752, 1388, 11951, 1161, 25423, 23159, 12162, 13546, 1194, 3138, 1280, 22997, 1296, 3635, 2754, 1151, 13546, 1161, 20415, 3210, 5841, 17300, 5776, 1163, 1135, 5111, 9576, 2267, 3575, 5081, 30128, 2019, 4595, 3210, 1959, 5841, 3635, 2754, 6612, 1163, 1151, 1147, 1107, 10090, 2577, 4048, 3545, 9576, 2392, 1410, 5705, 1161, 9576, 1967, 15383, 3575, 1110, 13499, 13546, 1239, 13241, 4939, 1226, 1110, 10213, 1176, 28727, 8782, 1296, 1151, 3669, 8957, 30940, 1161, 16786, 31536, 12034, 2227, 2851, 14068, 1147, 17300, 14894, 1171, 10155, 22836, 1135, 13546, 1239, 13499, 1147, 4595, 1171, 25772, 1135, 3669, 2670, 3166, 1104, 10756, 9576, 1967, 15383, 22341, 1190, 1967, 6876, 3674, 1194, 2951, 13317, 13546, 1135, 15659, 1194, 9916, 8073, 1149, 1135, 3013, 1161, 1147, 1107, 21352, 1161, 1110, 9576, 2267, 5111, 1171, 1135, 13546, 1161, 20415, 1239, 1375, 1355, 2019, 8302, 1161, 4815, 3835, 152, 1496, 1135, 2179, 1161, 1135, 20641, 13546, 1135, 15659, 8647, 1226, 1135, 3602, 7107, 1163, 1280, 14452, 2938, 5985, 488, 1239, 1135, 4815, 1161, 1135, 5111, 1171, 488, 1239, 1135, 1466, 4552, 1146, 2344, 6477, 7064, 2267, 1135, 8302, 1161, 4815, 1161, 1135, 3669, 1446, 1135, 13546, 1161, 20415, 7820, 1194, 144, 8339, 1361, 13546, 2586, 9566, 1180, 9657, 1104, 1175, 2956, 488, 125, 130, 129, 1323, 15732, 488, 124, 132, 127, 1233, 20106, 1463, 1135, 1940, 1163, 24757, 1135, 2123, 3315, 1161, 1135, 4037, 6448, 1310, 1238, 1135, 22418, 21168, 3252, 2111, 6043, 2123, 3315, 1161, 13220, 1361, 13546, 1161, 20415, 5776, 1163, 1110, 1466, 4552, 1146, 2344, 1163, 1135, 4037, 6448, 1310, 19620, 2739, 1429, 2060, 7824, 31627, 1341, 1239, 13241, 18847, 1163, 1296, 1151, 2123, 3315, 1161, 488, 125, 126, 210, 125, 130, 1521, 1329, 1235, 8149, 109, 1163, 488, 125, 126, 210, 6649, 1395, 4454, 19620, 11050, 3002, 30163, 1212, 28727, 2141, 1110, 16393, 1371, 1329, 1110, 27706, 1659, 8466, 4258, 4957, 1151, 2123, 4454, 2678, 1965, 1602, 1110, 13499, 13546, 18907, 2488, 2019, 8302, 1161, 7193, 1297, 6067, 1341, 2778, 1375, 2670, 3166, 10756, 9576, 1967, 15383, 2849, 2019, 13546, 1161, 20415, 1239, 1375, 13499, 1147, 3620, 133, 1341, 4222, 9482, 12034, 1355, 1135, 8302, 1161, 1135, 5111, 1171, 14213, 2019, 3585, 1388, 1891, 9520, 1194, 21320, 1959, 1530, 195, 1120, 2123, 3315, 1750, 24398, 1147, 4812, 5194, 10149, 5405, 2344, 15383, 12323, 4807, 11114, 11934, 6000, 5111, 6876, 3674, 1750, 24398, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 1748, 1389, 19845, 1105, 1733, 1125, 1282, 9428, 1206, 4951, 19883, 9016, 23147, 1189, 4192, 1125, 5343, 1274, 7579, 3441, 13682, 1167, 1545, 1136, 17707, 1260, 1182, 3754, 4160, 1186, 488, 124, 131, 26428, 8005, 2261, 20237, 1366, 3723, 488, 129, 15689, 2582, 4407, 8592, 21023, 488, 124, 125, 7580, 4407, 8592, 8273, 1187, 8005, 2261, 1194, 10201, 1525, 1125, 15447, 5532, 2038, 1197, 20880, 10469, 1125, 488, 124, 132, 132, 130, 120, 125, 123, 124, 123, 1424, 7092, 1796, 1105, 27067, 106, 1233, 3579, 1146, 1242, 14985, 106, 6279, 1343, 1807, 14985, 106, 1233, 2089, 7439, 1171, 2502, 8188, 14985, 106, 11174, 1126, 10718, 27067, 106, 2908, 20595, 27067, 106, 1254, 8699, 22943, 14985, 106, 5922, 12788, 14985, 106, 5922, 18664, 14985, 106, 4732, 13278, 1171, 8961, 30256, 1903, 7362, 14985, 106, 5584, 9428, 22147, 14985, 106, 12282, 1126, 1961, 14985, 106, 1248, 5200, 7362, 1171, 5343, 1274, 8961, 14985, 106, 1173, 2949, 2548, 1325, 6266, 1108, 14985, 106, 5343, 1274, 5206, 27067, 106, 1545, 1136, 17707, 27067, 106, 5206, 30256, 1903, 7362, 14985, 5532, 2038, 1197, 20880, 10469, 1125, 488, 124, 132, 131, 126, 458, 124, 132, 132, 130, 2093, 141, 1141, 1796, 1105, 2056, 3579, 1146, 1242, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 1573, 1126, 10718, 1505, 7198, 1903, 7362, 16038, 20595, 5584, 16038, 20595, 5343, 1171, 4732, 13278, 2586, 8699, 22943, 3050, 1124, 12788, 3050, 1124, 18664, 1750, 5200, 7362, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 5532, 2038, 1197, 20880, 10469, 1125, 488, 124, 132, 130, 127, 458, 124, 132, 131, 126, 2093, 141, 1141, 1796, 1105, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 7198, 1903, 7362, 16038, 20595, 2586, 8699, 22943, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 12788, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 5532, 2038, 1197, 20880, 10469, 1125, 488, 124, 132, 128, 128, 458, 124, 132, 130, 127, 2093, 141, 3579, 1146, 1242, 1505, 7198, 1903, 7362, 4196, 1205, 11403, 16038, 20595, 2586, 8699, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 13776, 1220, 1282, 1551, 2497, 5623, 20024, 2093, 141, 2565, 1149, 1763, 18062, 5523, 2586, 1573, 9029, 5584, 2586, 1573, 9029, 5343, 3050, 2589, 1210, 5583, 6538, 7362, 5584, 6538, 7362, 5343, 2359, 196, 2333, 1750, 1137, 7362, 5486, 2783, 1174, 1243, 1246, 8961, 5486, 2783, 1174, 1243, 1246, 5206, 5486, 1182, 9029, 5584, 5486, 1182, 9029, 5343, 5486, 2494, 7362, 1175, 3099, 23726, 1186, 488, 124, 132, 129, 127, 133, 162, 1220, 5556, 1171, 12620, 7362, 1718, 157, 1234, 18036, 13459, 2072, 26328, 2038, 10777, 1197, 20880, 10469, 14701, 1690, 1125, 5613, 190, 22147, 27012, 1197, 22891, 20880, 10469, 14701, 1690, 1125, 5613, 190, 22147, 9323, 15948, 30738, 7695, 1313, 5613, 190, 22147, 1194, 174, 1187, 8005, 10469, 2586, 190, 22147, 114, 32001, 1424, 32000, 20036, 3616, 4263, 15222, 1474, 21384, 1161, 9428, 22147, 17926, 7245, 1135, 8390, 1626, 19342, 1161, 5343, 1274, 7579, 3441, 13682, 1171, 1545, 1136, 17707, 116, 1239, 21867, 2127, 488, 124, 131, 14202, 11185, 4407, 8592, 1323, 488, 129, 15689, 2582, 4407, 8592, 1171, 488, 124, 125, 7580, 4407, 8592, 8273, 1376, 2228, 8592, 12323, 1615, 1626, 6816, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 132, 130, 120, 125, 123, 124, 123, 2056, 1141, 1796, 1105, 27067, 2056, 3579, 1146, 1242, 14985, 2056, 14960, 1807, 14985, 2056, 2089, 7439, 1171, 2502, 8188, 14985, 1505, 1573, 1126, 10718, 27067, 16038, 20595, 27067, 2586, 8699, 22943, 14985, 3050, 1124, 12788, 14985, 3050, 1124, 18664, 14985, 1720, 6266, 1105, 1171, 8961, 30256, 1903, 7362, 14985, 1875, 3036, 9428, 22147, 14985, 1750, 1242, 1126, 1961, 14985, 1750, 5200, 7362, 1171, 5343, 1274, 8961, 14985, 1628, 2949, 2548, 1325, 6266, 1108, 14985, 1628, 3297, 1274, 5206, 27067, 4708, 1136, 17707, 27067, 5486, 1182, 30256, 1903, 7362, 14985, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 131, 126, 120, 124, 132, 132, 130, 2056, 1141, 1796, 1105, 2056, 3579, 1146, 1242, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 1573, 1126, 10718, 1505, 7198, 1903, 7362, 16038, 20595, 5584, 16038, 20595, 5343, 1171, 4732, 13278, 2586, 8699, 22943, 3050, 1124, 12788, 3050, 1124, 18664, 1750, 5200, 7362, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 130, 127, 120, 124, 132, 131, 126, 2056, 1141, 1796, 1105, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 7198, 1903, 7362, 16038, 20595, 2586, 8699, 22943, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 12788, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 128, 128, 120, 124, 132, 130, 127, 2056, 3579, 1146, 1242, 1505, 7198, 1903, 7362, 4196, 1205, 11403, 16038, 20595, 2586, 8699, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 30490, 13607, 2078, 9485, 2056, 2565, 1149, 1763, 18062, 5523, 2586, 1573, 9029, 5584, 2586, 1573, 9029, 5343, 3050, 2589, 1210, 5583, 6538, 7362, 5584, 6538, 7362, 5343, 2359, 196, 2333, 1750, 1137, 7362, 5486, 2783, 1174, 1243, 1246, 8961, 5486, 2783, 1174, 1243, 1246, 5206, 5486, 1182, 9029, 5584, 5486, 1182, 9029, 5343, 5486, 2494, 7362, 1175, 3099, 5417, 1147, 488, 124, 132, 129, 127, 133, 1325, 1220, 5556, 1171, 12620, 7362, 1718, 5470, 20230, 21320, 1959, 3050, 7569, 1926, 2396, 1161, 1215, 14456, 1626, 4407, 8592, 1147, 9428, 22147, 1489, 1267, 1161, 6459, 1215, 14456, 1626, 4407, 8592, 1147, 9428, 22147, 9323, 1194, 1891, 9520, 12662, 7847, 3750, 1147, 9428, 22147, 1194, 8925, 2228, 8592, 2586, 190, 22147, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 4263, 15222, 1474, 21384, 1161, 9428, 22147, 17926, 7245, 1135, 8390, 1626, 19342, 1161, 5343, 1274, 7579, 3441, 13682, 1171, 1545, 1136, 17707, 116, 1239, 21867, 2127, 488, 124, 131, 14202, 11185, 4407, 8592, 1323, 488, 129, 15689, 2582, 4407, 8592, 1171, 488, 124, 125, 7580, 4407, 8592, 8273, 1376, 2228, 8592, 12323, 1615, 1626, 6816, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 132, 130, 120, 125, 123, 124, 123, 2056, 1141, 1796, 1105, 27067, 2056, 3579, 1146, 1242, 14985, 2056, 14960, 1807, 14985, 2056, 2089, 7439, 1171, 2502, 8188, 14985, 1505, 1573, 1126, 10718, 27067, 16038, 20595, 27067, 2586, 8699, 22943, 14985, 3050, 1124, 12788, 14985, 3050, 1124, 18664, 14985, 1720, 6266, 1105, 1171, 8961, 30256, 1903, 7362, 14985, 1875, 3036, 9428, 22147, 14985, 1750, 1242, 1126, 1961, 14985, 1750, 5200, 7362, 1171, 5343, 1274, 8961, 14985, 1628, 2949, 2548, 1325, 6266, 1108, 14985, 1628, 3297, 1274, 5206, 27067, 4708, 1136, 17707, 27067, 5486, 1182, 30256, 1903, 7362, 14985, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 131, 126, 120, 124, 132, 132, 130, 2056, 1141, 1796, 1105, 2056, 3579, 1146, 1242, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 1573, 1126, 10718, 1505, 7198, 1903, 7362, 16038, 20595, 5584, 16038, 20595, 5343, 1171, 4732, 13278, 2586, 8699, 22943, 3050, 1124, 12788, 3050, 1124, 18664, 1750, 5200, 7362, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 130, 127, 120, 124, 132, 131, 126, 2056, 1141, 1796, 1105, 2056, 14960, 1807, 2056, 2089, 7439, 1171, 2502, 8188, 1505, 7198, 1903, 7362, 16038, 20595, 2586, 8699, 22943, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 12788, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 1194, 2474, 1161, 4407, 8592, 1446, 488, 124, 132, 128, 128, 120, 124, 132, 130, 127, 2056, 3579, 1146, 1242, 1505, 7198, 1903, 7362, 4196, 1205, 11403, 16038, 20595, 2586, 8699, 1628, 3297, 8961, 9428, 22147, 3050, 1124, 18664, 1720, 6266, 1105, 1628, 2949, 2548, 1325, 6266, 1108, 1628, 3297, 1274, 8961, 1628, 3297, 1274, 5206, 4708, 1136, 17707, 30490, 13607, 2078, 9485, 2056, 2565, 1149, 1763, 18062, 5523, 2586, 1573, 9029, 5584, 2586, 1573, 9029, 5343, 3050, 2589, 1210, 5583, 6538, 7362, 5584, 6538, 7362, 5343, 2359, 196, 2333, 1750, 1137, 7362, 5486, 2783, 1174, 1243, 1246, 8961, 5486, 2783, 1174, 1243, 1246, 5206, 5486, 1182, 9029, 5584, 5486, 1182, 9029, 5343, 5486, 2494, 7362, 1175, 3099, 5417, 1147, 488, 124, 132, 129, 127, 133, 1325, 1220, 5556, 1171, 12620, 7362, 1718, 5470, 20230, 21320, 1959, 3050, 7569, 1926, 2396, 1161, 1215, 14456, 1626, 4407, 8592, 1147, 9428, 22147, 1489, 1267, 1161, 6459, 1215, 14456, 1626, 4407, 8592, 1147, 9428, 22147, 9323, 1194, 1891, 9520, 12662, 7847, 3750, 1147, 9428, 22147, 1194, 8925, 2228, 8592, 2586, 190, 22147, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 109, 115, 1327, 1105, 30142, 133, 1643, 1198, 4450, 18256, 116, 1239, 1110, 18451, 16140, 6446, 18840, 1449, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 181, 2086, 1171, 5450, 1766, 1575, 14922, 119, 8482, 1427, 1446, 1135, 10704, 1449, 1918, 16330, 1222, 1277, 252, 4277, 1758, 3151, 1156, 1238, 16987, 16464, 1238, 6749, 158, 31751, 12498, 1573, 19155, 1262, 8836, 1750, 2564, 6652, 8929, 186, 8118, 11878, 186, 15656, 14535, 1505, 1234, 1124, 1204, 1230, 20109, 15155, 11878, 186, 15656, 14535, 2359, 1105, 1121, 20692, 5006, 133, 22728, 175, 1217, 4304, 1132, 2971, 12063, 4313, 8830, 1154, 133, 15155, 22728, 175, 1217, 4304, 1132, 2971, 1875, 14446, 1733, 7129, 16694, 19961, 2324, 1242, 2333, 1750, 172, 260, 183, 6592, 3807, 133, 9851, 1180, 1306, 1813, 1180, 2278, 1180, 244, 1202, 8722, 3382, 133, 15155, 9851, 1180, 1306, 1813, 1180, 2278, 192, 4436, 3506, 1531, 8118, 3091, 9177, 1293, 1121, 1180, 1117, 7348, 1853, 1107, 1419, 1772, 23627, 133, 5796, 1707, 2278, 1203, 1575, 1252, 3716, 133, 1306, 1506, 2443, 3050, 1108, 1857, 13272, 4270, 6828, 133, 27397, 2324, 1242, 2333, 3052, 27781, 1248, 5836, 1214, 133, 15155, 27397, 2324, 1242, 13278, 2056, 10445, 4115, 3377, 1118, 133, 2168, 1109, 18553, 1194, 6090, 4899, 1149, 8836, 4401, 2333, 2504, 13363, 1124, 1150, 133, 27111, 1671, 190, 13153, 2278, 14518, 5371, 1216, 13096, 133, 28708, 1342, 186, 2397, 1242, 1141, 2278, 1180, 244, 25117, 1121, 133, 15155, 28708, 1342, 186, 2397, 1242, 1141, 18491, 1142, 2504, 3276, 1117, 1356, 3416, 13531, 8118, 8391, 7546, 248, 1141, 4304, 1132, 2971, 2586, 190, 1707, 1132, 3708, 1202, 2617, 1140, 133, 13784, 4436, 15656, 14535, 1530, 1126, 181, 1265, 1150, 1125, 1158, 19682, 133, 3985, 248, 1141, 2602, 30739, 2902, 6645, 1183, 2504, 1204, 1230, 1180, 133, 31744, 1871, 1748, 4384, 24367, 2030, 1926, 3033, 1763, 30132, 1449, 133, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 5811, 1171, 5450, 1766, 1575, 14922, 1628, 9414, 3059, 1449, 133, 17599, 4436, 1200, 254, 1326, 197, 16540, 2504, 1171, 1321, 14518, 8125, 178, 1217, 2086, 4558, 1238, 1135, 10704, 1449, 1918, 16330, 1222, 1277, 252, 1141, 1505, 1314, 13005, 11114, 133, 488, 228, 22321, 4304, 1104, 12170, 1171, 8870, 1128, 16947, 1210, 2586, 2689, 9513, 1209, 193, 13096, 1192, 2128, 186, 1171, 1653, 3415, 16062, 248, 4317, 14127, 1720, 19486, 133, 30820, 5796, 1137, 5953, 13164, 1128, 133, 11681, 1194, 2101, 3409, 1194, 144, 187, 13456, 12498, 1164, 3043, 30599, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 1238, 16987, 16464, 1194, 14712, 12902, 6446, 5772, 1147, 488, 125, 123, 125, 124, 24168, 15491, 16140, 6446, 1161, 1135, 488, 125, 123, 125, 123, 190, 24168, 15491, 2992, 16567, 16140, 6446, 1566, 6857, 16464, 16140, 6446, 8535, 4396, 1430, 1161, 18451, 10704, 190, 1226, 16140, 1853, 176, 12902, 6446, 2142, 1147, 27240, 1853, 176, 12902, 6446, 2142, 1147, 19515, 1853, 176, 12902, 6446, 2142, 1147, 1135, 488, 124, 132, 1276, 14851, 1763, 1154, 1724, 16140, 6446, 109, 32001, 1424, 32000, 20036, 24623, 115, 1327, 1105, 9031, 1257, 1859, 1643, 1198, 4450, 18256, 116, 1299, 1318, 4726, 23170, 13870, 1731, 15633, 1215, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 5811, 1167, 5450, 1766, 1575, 14922, 119, 22412, 1227, 7808, 1125, 1918, 16330, 1222, 1277, 252, 1141, 29571, 1188, 3862, 1227, 488, 1300, 1158, 29098, 16987, 16464, 7745, 31751, 13776, 10995, 1194, 3742, 3051, 12186, 1424, 157, 2564, 6652, 8929, 19004, 1257, 11878, 186, 15656, 14535, 1505, 1234, 1124, 1204, 1230, 186, 1257, 11878, 186, 15656, 14535, 6018, 2359, 1105, 1121, 20692, 5006, 1257, 22728, 175, 1217, 4304, 1132, 2971, 12063, 4313, 8830, 1154, 1257, 22728, 175, 1217, 4304, 1132, 2971, 6018, 1875, 14446, 1733, 7129, 1107, 1257, 19961, 2324, 1242, 2333, 1750, 172, 260, 183, 6592, 3807, 1257, 9851, 1180, 1306, 1813, 1180, 2278, 1180, 244, 1202, 8722, 3382, 1257, 9851, 1180, 1306, 1813, 1180, 6018, 2278, 192, 4436, 3506, 1531, 172, 1257, 3091, 9177, 1293, 1121, 1180, 1117, 7348, 1853, 1107, 1419, 1772, 23627, 1257, 5796, 1707, 2278, 1203, 1575, 1252, 3716, 1257, 1306, 1506, 2443, 3050, 1108, 1857, 13272, 4270, 6828, 1257, 27397, 2324, 1242, 2333, 3052, 27781, 1248, 5836, 1214, 1257, 27397, 2324, 1242, 13278, 6018, 2056, 10445, 4115, 3377, 1118, 1257, 2168, 1109, 18553, 1194, 3742, 3051, 4341, 4899, 1610, 1424, 2439, 2333, 2504, 13363, 1124, 1150, 1257, 27111, 1671, 190, 13153, 2278, 14518, 5371, 1216, 13096, 1257, 28708, 1342, 186, 2397, 1242, 1141, 2278, 1180, 244, 25117, 1121, 1257, 28708, 1342, 186, 2397, 1242, 1141, 6018, 18491, 1142, 2504, 3276, 1117, 1356, 3416, 13531, 172, 1257, 8391, 7546, 248, 1141, 4304, 1132, 2971, 2586, 190, 1707, 1132, 3708, 1202, 2617, 1140, 1257, 13784, 4436, 15656, 14535, 1530, 1126, 181, 1265, 1150, 1125, 1158, 19682, 1257, 3985, 248, 1141, 2602, 30739, 2902, 6645, 1183, 2504, 1204, 1230, 1180, 1257, 31744, 1871, 1748, 4384, 23159, 3352, 4403, 1424, 8044, 4521, 1257, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 5811, 1167, 5450, 1766, 1575, 14922, 24425, 1538, 5844, 1257, 17599, 4436, 1200, 254, 1326, 197, 16540, 2504, 1167, 1321, 14518, 8125, 178, 1217, 2086, 21469, 1170, 7808, 1125, 1918, 16330, 1222, 1277, 252, 1141, 25624, 4134, 1257, 488, 228, 22321, 4304, 1104, 12170, 1167, 8870, 1128, 16947, 1210, 23643, 1272, 1257, 1209, 193, 13096, 1192, 2128, 186, 1167, 1653, 3415, 16062, 248, 4317, 14127, 105, 25212, 1460, 1257, 30820, 5796, 1137, 5953, 13164, 1128, 1257, 12511, 3909, 1194, 2101, 3409, 23435, 187, 13456, 1194, 8044, 2092, 11876, 9323, 1167, 16828, 5825, 12928, 1286, 9229, 1300, 1170, 1865, 1125, 16987, 16464, 11934, 2974, 23170, 16233, 1186, 488, 125, 123, 125, 124, 1628, 2974, 23170, 13870, 1731, 1197, 4092, 488, 125, 123, 125, 123, 1628, 2974, 23170, 1186, 24587, 1628, 2974, 23170, 1125, 16987, 16464, 8535, 17005, 2335, 7808, 24587, 1188, 1158, 14022, 1628, 2974, 23170, 1281, 8866, 11953, 1186, 21593, 1628, 2974, 23170, 1281, 8866, 11953, 1317, 9671, 1460, 1628, 2974, 23170, 1281, 8866, 11953, 1317, 26851, 6298, 1628, 2974, 23170, 27325, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24623, 115, 1327, 1105, 9031, 1257, 1859, 1643, 1198, 4450, 18256, 116, 1299, 1318, 4726, 23170, 13870, 1731, 15633, 1215, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 5811, 1167, 5450, 1766, 1575, 14922, 119, 22412, 1227, 7808, 1125, 1918, 16330, 1222, 1277, 252, 1141, 29571, 1188, 3862, 1227, 488, 1300, 1158, 29098, 16987, 16464, 7745, 31751, 13776, 10995, 1194, 3742, 3051, 12186, 1424, 157, 2564, 6652, 8929, 19004, 1257, 11878, 186, 15656, 14535, 1505, 1234, 1124, 1204, 1230, 186, 1257, 11878, 186, 15656, 14535, 6018, 2359, 1105, 1121, 20692, 5006, 1257, 22728, 175, 1217, 4304, 1132, 2971, 12063, 4313, 8830, 1154, 1257, 22728, 175, 1217, 4304, 1132, 2971, 6018, 1875, 14446, 1733, 7129, 1107, 1257, 19961, 2324, 1242, 2333, 1750, 172, 260, 183, 6592, 3807, 1257, 9851, 1180, 1306, 1813, 1180, 2278, 1180, 244, 1202, 8722, 3382, 1257, 9851, 1180, 1306, 1813, 1180, 6018, 2278, 192, 4436, 3506, 1531, 172, 1257, 3091, 9177, 1293, 1121, 1180, 1117, 7348, 1853, 1107, 1419, 1772, 23627, 1257, 5796, 1707, 2278, 1203, 1575, 1252, 3716, 1257, 1306, 1506, 2443, 3050, 1108, 1857, 13272, 4270, 6828, 1257, 27397, 2324, 1242, 2333, 3052, 27781, 1248, 5836, 1214, 1257, 27397, 2324, 1242, 13278, 6018, 2056, 10445, 4115, 3377, 1118, 1257, 2168, 1109, 18553, 1194, 3742, 3051, 4341, 4899, 1610, 1424, 2439, 2333, 2504, 13363, 1124, 1150, 1257, 27111, 1671, 190, 13153, 2278, 14518, 5371, 1216, 13096, 1257, 28708, 1342, 186, 2397, 1242, 1141, 2278, 1180, 244, 25117, 1121, 1257, 28708, 1342, 186, 2397, 1242, 1141, 6018, 18491, 1142, 2504, 3276, 1117, 1356, 3416, 13531, 172, 1257, 8391, 7546, 248, 1141, 4304, 1132, 2971, 2586, 190, 1707, 1132, 3708, 1202, 2617, 1140, 1257, 13784, 4436, 15656, 14535, 1530, 1126, 181, 1265, 1150, 1125, 1158, 19682, 1257, 3985, 248, 1141, 2602, 30739, 2902, 6645, 1183, 2504, 1204, 1230, 1180, 1257, 31744, 1871, 1748, 4384, 23159, 3352, 4403, 1424, 8044, 4521, 1257, 3276, 1415, 184, 7219, 12043, 13075, 186, 26590, 1493, 11814, 5811, 1167, 5450, 1766, 1575, 14922, 24425, 1538, 5844, 1257, 17599, 4436, 1200, 254, 1326, 197, 16540, 2504, 1167, 1321, 14518, 8125, 178, 1217, 2086, 21469, 1170, 7808, 1125, 1918, 16330, 1222, 1277, 252, 1141, 25624, 4134, 1257, 488, 228, 22321, 4304, 1104, 12170, 1167, 8870, 1128, 16947, 1210, 23643, 1272, 1257, 1209, 193, 13096, 1192, 2128, 186, 1167, 1653, 3415, 16062, 248, 4317, 14127, 105, 25212, 1460, 1257, 30820, 5796, 1137, 5953, 13164, 1128, 1257, 12511, 3909, 1194, 2101, 3409, 23435, 187, 13456, 1194, 8044, 2092, 11876, 9323, 1167, 16828, 5825, 12928, 1286, 9229, 1300, 1170, 1865, 1125, 16987, 16464, 11934, 2974, 23170, 16233, 1186, 488, 125, 123, 125, 124, 1628, 2974, 23170, 13870, 1731, 1197, 4092, 488, 125, 123, 125, 123, 1628, 2974, 23170, 1186, 24587, 1628, 2974, 23170, 1125, 16987, 16464, 8535, 17005, 2335, 7808, 24587, 1188, 1158, 14022, 1628, 2974, 23170, 1281, 8866, 11953, 1186, 21593, 1628, 2974, 23170, 1281, 8866, 11953, 1317, 9671, 1460, 1628, 2974, 23170, 1281, 8866, 11953, 1317, 26851, 6298, 1628, 2974, 23170, 27325, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 31943, 6492, 2895, 4446, 1125, 2893, 3377, 1183, 1299, 1318, 12856, 1125, 1158, 4446, 1125, 1643, 14296, 175, 1396, 11883, 2487, 1197, 4634, 2004, 17413, 1170, 3694, 1125, 3688, 1105, 2648, 1125, 23366, 1125, 2893, 3377, 1183, 1257, 1489, 14842, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 125, 130, 1323, 488, 124, 129, 132, 132, 1496, 3151, 3688, 1105, 1125, 2893, 3377, 1183, 2278, 19191, 7162, 3595, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 129, 123, 1323, 488, 124, 130, 125, 127, 1496, 1594, 1962, 1285, 3151, 1188, 10243, 1170, 3694, 1125, 23366, 1125, 2893, 3377, 1183, 1489, 14842, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 132, 124, 1323, 488, 124, 130, 125, 132, 1496, 8658, 1227, 6175, 3310, 23366, 1125, 2893, 3377, 15316, 4637, 1188, 5118, 4688, 1227, 12229, 1125, 18404, 1566, 3724, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 124, 129, 1323, 488, 124, 131, 123, 123, 1496, 8658, 1227, 6175, 3310, 23366, 1125, 2893, 3377, 15316, 1536, 2388, 1227, 1202, 3534, 1118, 1125, 488, 124, 130, 128, 123, 1188, 488, 124, 130, 131, 127, 2586, 190, 7257, 8179, 2324, 1491, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 125, 1323, 488, 124, 131, 125, 132, 1496, 8658, 1227, 6175, 3310, 23366, 1125, 2893, 3377, 15316, 16487, 1125, 25498, 1125, 488, 124, 131, 123, 131, 1188, 488, 124, 131, 124, 127, 4196, 1124, 1328, 9428, 7257, 7980, 1125, 1158, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 126, 1323, 488, 124, 131, 127, 123, 1496, 8658, 1125, 5612, 9428, 1327, 6634, 23366, 1125, 2893, 3377, 15316, 6711, 1125, 1158, 7957, 1197, 1202, 9794, 1125, 488, 124, 131, 125, 129, 1188, 488, 124, 131, 126, 123, 2056, 1608, 1379, 1125, 1158, 14296, 175, 1396, 11883, 3551, 27773, 15316, 9918, 1856, 13949, 2893, 3377, 1183, 1175, 124, 132, 124, 130, 1188, 4273, 4019, 1269, 8021, 21930, 1314, 1323, 488, 125, 123, 123, 124, 116, 10956, 1793, 1125, 4334, 21469, 12507, 9994, 2636, 2359, 1874, 1125, 2893, 3377, 1183, 1110, 1913, 7798, 1188, 1197, 4465, 1167, 18253, 1285, 4701, 8805, 1188, 1158, 4446, 1362, 1188, 4345, 1125, 1909, 4634, 2232, 1126, 13337, 1125, 2893, 3377, 15316, 1170, 3151, 13337, 20296, 13826, 1186, 488, 124, 129, 130, 124, 1188, 3686, 1549, 1155, 183, 26457, 7863, 1125, 2893, 3377, 15316, 17046, 6564, 1125, 25498, 13826, 1186, 488, 124, 130, 125, 131, 1215, 7422, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1155, 1126, 4742, 1125, 2893, 3377, 15316, 8650, 1721, 1125, 7997, 27704, 9601, 1186, 488, 124, 130, 130, 123, 1215, 5612, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1155, 1126, 3358, 21290, 1167, 1158, 29298, 2240, 1125, 2893, 3377, 15316, 11419, 2320, 1227, 29703, 1415, 1125, 1539, 19007, 11561, 2198, 1155, 183, 114, 9306, 3318, 1445, 1125, 2893, 3377, 1183, 1188, 3261, 11149, 9480, 2466, 2690, 1606, 1643, 1293, 1265, 1396, 18049, 1524, 1188, 3261, 11149, 23924, 1188, 1158, 4446, 1125, 1643, 14296, 175, 1396, 11883, 2567, 488, 124, 132, 132, 128, 14023, 22137, 1125, 1643, 14296, 175, 1396, 11883, 32001, 1424, 32000, 20036, 13002, 2193, 3616, 2893, 3377, 1183, 4772, 1239, 1110, 13839, 1161, 1135, 1643, 14296, 175, 1396, 11883, 21263, 1957, 5641, 1161, 1758, 7368, 1135, 27568, 1161, 4173, 1105, 1171, 2491, 21041, 1161, 2893, 3377, 1183, 1339, 151, 14842, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 125, 130, 1323, 488, 124, 129, 132, 132, 1496, 1135, 1940, 4173, 1105, 1161, 2893, 3377, 1183, 2278, 19191, 7162, 3595, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 129, 123, 1323, 488, 124, 130, 125, 127, 1496, 1765, 30248, 1135, 1940, 1163, 5369, 1135, 5783, 1161, 21041, 1161, 2893, 3377, 1183, 1489, 14842, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 132, 124, 1323, 488, 124, 130, 125, 132, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 6654, 1161, 1135, 19289, 1161, 13955, 191, 2721, 1566, 3724, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 124, 129, 1323, 488, 124, 131, 123, 123, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 6489, 2388, 1161, 1202, 3534, 1118, 1446, 488, 124, 130, 128, 123, 1163, 488, 124, 130, 131, 127, 2586, 190, 7257, 8179, 2324, 1491, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 125, 1323, 488, 124, 131, 125, 132, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 4151, 1121, 1161, 25498, 1446, 488, 124, 131, 123, 131, 1163, 488, 124, 131, 124, 127, 4196, 1124, 1328, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 126, 1323, 488, 124, 131, 127, 123, 1496, 1594, 1161, 5612, 9428, 1327, 6634, 21041, 1161, 2893, 3377, 15316, 6644, 1161, 1135, 31245, 1161, 3795, 1201, 1446, 488, 124, 131, 125, 129, 1163, 488, 124, 131, 126, 123, 2056, 1608, 1379, 1125, 1158, 14296, 175, 1396, 11883, 3551, 27773, 15316, 5388, 1296, 13949, 2893, 3377, 1183, 1175, 124, 132, 124, 130, 1147, 4273, 4019, 1269, 8021, 21930, 1314, 1323, 488, 125, 123, 123, 124, 116, 16414, 10956, 2111, 2936, 12013, 1124, 1388, 3956, 3501, 3616, 2220, 2893, 3377, 1183, 1602, 2023, 3397, 1163, 4465, 1171, 18253, 1285, 5298, 16447, 1163, 1135, 4772, 1329, 1957, 1161, 2019, 5641, 1339, 2653, 21254, 1125, 2893, 3377, 15316, 1135, 1940, 4772, 8836, 1126, 7406, 1147, 488, 124, 129, 130, 124, 1147, 3686, 1549, 1155, 2653, 1306, 7863, 1125, 2893, 3377, 15316, 1110, 3172, 1127, 13235, 1147, 25498, 7406, 1147, 488, 124, 130, 125, 131, 1449, 7422, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1155, 2653, 16105, 1125, 2893, 3377, 15316, 1110, 1721, 18960, 1147, 7997, 27704, 5772, 1147, 488, 124, 130, 130, 123, 1449, 5612, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1155, 2653, 7358, 21290, 1171, 2769, 4043, 2240, 1125, 2893, 3377, 15316, 1135, 2274, 10804, 1147, 1135, 5100, 8302, 1161, 1539, 19007, 11561, 2198, 1155, 2653, 6459, 3318, 1445, 1125, 2893, 3377, 1183, 1147, 3261, 11149, 12885, 2320, 4494, 31560, 1293, 1265, 1396, 18049, 109, 1147, 3261, 11149, 19087, 1449, 1135, 1643, 14296, 175, 1396, 11883, 4772, 2979, 488, 124, 132, 132, 128, 10803, 14296, 175, 1396, 11883, 15057, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 13002, 2193, 3616, 2893, 3377, 1183, 4772, 1239, 1110, 13839, 1161, 1135, 1643, 14296, 175, 1396, 11883, 21263, 1957, 5641, 1161, 1758, 7368, 1135, 27568, 1161, 4173, 1105, 1171, 2491, 21041, 1161, 2893, 3377, 1183, 1339, 151, 14842, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 125, 130, 1323, 488, 124, 129, 132, 132, 1496, 1135, 1940, 4173, 1105, 1161, 2893, 3377, 1183, 2278, 19191, 7162, 3595, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 129, 123, 1323, 488, 124, 130, 125, 127, 1496, 1765, 30248, 1135, 1940, 1163, 5369, 1135, 5783, 1161, 21041, 1161, 2893, 3377, 1183, 1489, 14842, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 129, 132, 124, 1323, 488, 124, 130, 125, 132, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 6654, 1161, 1135, 19289, 1161, 13955, 191, 2721, 1566, 3724, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 124, 129, 1323, 488, 124, 131, 123, 123, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 6489, 2388, 1161, 1202, 3534, 1118, 1446, 488, 124, 130, 128, 123, 1163, 488, 124, 130, 131, 127, 2586, 190, 7257, 8179, 2324, 1491, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 125, 1323, 488, 124, 131, 125, 132, 1496, 1594, 1161, 1135, 5727, 119, 21041, 1161, 2893, 3377, 15316, 4151, 1121, 1161, 25498, 1446, 488, 124, 131, 123, 131, 1163, 488, 124, 131, 124, 127, 4196, 1124, 1328, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1175, 124, 130, 128, 126, 1323, 488, 124, 131, 127, 123, 1496, 1594, 1161, 5612, 9428, 1327, 6634, 21041, 1161, 2893, 3377, 15316, 6644, 1161, 1135, 31245, 1161, 3795, 1201, 1446, 488, 124, 131, 125, 129, 1163, 488, 124, 131, 126, 123, 2056, 1608, 1379, 1125, 1158, 14296, 175, 1396, 11883, 3551, 27773, 15316, 5388, 1296, 13949, 2893, 3377, 1183, 1175, 124, 132, 124, 130, 1147, 4273, 4019, 1269, 8021, 21930, 1314, 1323, 488, 125, 123, 123, 124, 116, 16414, 10956, 2111, 2936, 12013, 1124, 1388, 3956, 3501, 3616, 2220, 2893, 3377, 1183, 1602, 2023, 3397, 1163, 4465, 1171, 18253, 1285, 5298, 16447, 1163, 1135, 4772, 1329, 1957, 1161, 2019, 5641, 1339, 2653, 21254, 1125, 2893, 3377, 15316, 1135, 1940, 4772, 8836, 1126, 7406, 1147, 488, 124, 129, 130, 124, 1147, 3686, 1549, 1155, 2653, 1306, 7863, 1125, 2893, 3377, 15316, 1110, 3172, 1127, 13235, 1147, 25498, 7406, 1147, 488, 124, 130, 125, 131, 1449, 7422, 26417, 1125, 1643, 14296, 175, 1396, 11883, 1155, 2653, 16105, 1125, 2893, 3377, 15316, 1110, 1721, 18960, 1147, 7997, 27704, 5772, 1147, 488, 124, 130, 130, 123, 1449, 5612, 9428, 7257, 7980, 1125, 1643, 14296, 175, 1396, 11883, 1155, 2653, 7358, 21290, 1171, 2769, 4043, 2240, 1125, 2893, 3377, 15316, 1135, 2274, 10804, 1147, 1135, 5100, 8302, 1161, 1539, 19007, 11561, 2198, 1155, 2653, 6459, 3318, 1445, 1125, 2893, 3377, 1183, 1147, 3261, 11149, 12885, 2320, 4494, 31560, 1293, 1265, 1396, 18049, 109, 1147, 3261, 11149, 19087, 1449, 1135, 1643, 14296, 175, 1396, 11883, 4772, 2979, 488, 124, 132, 132, 128, 10803, 14296, 175, 1396, 11883, 15057, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12928, 1119, 16390, 13322, 180, 1299, 1318, 29685, 4655, 2794, 1125, 14022, 1357, 8135, 1844, 9156, 1186, 3227, 1199, 1313, 1158, 4726, 1204, 25095, 1321, 1219, 15065, 1198, 15554, 3450, 1299, 6349, 3851, 1277, 1313, 1248, 1475, 9080, 20728, 1810, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1167, 1539, 13747, 2330, 13747, 14231, 1628, 1119, 16390, 13322, 180, 1110, 1844, 1197, 8787, 1188, 1350, 1190, 1762, 1318, 3837, 1125, 17289, 10645, 2585, 10276, 9563, 18812, 23295, 2610, 121, 3450, 1110, 18280, 180, 1909, 8787, 1317, 1859, 1318, 17030, 1125, 7252, 1188, 1233, 3622, 1242, 30079, 1110, 13551, 1561, 9245, 1186, 4083, 1309, 1618, 1245, 1134, 4537, 24964, 2399, 1299, 3851, 1277, 1313, 5695, 25308, 1167, 1110, 10866, 1304, 29573, 1207, 22589, 1346, 4071, 8499, 8753, 29685, 121, 3767, 4319, 1125, 1561, 9245, 119, 13322, 180, 1288, 10110, 1370, 1382, 2077, 3394, 1160, 4428, 20368, 1167, 1110, 15000, 4568, 1909, 13261, 1469, 1816, 7577, 1188, 3171, 21146, 1457, 3450, 8135, 1844, 9156, 4855, 1188, 1561, 3453, 4726, 8743, 1120, 2806, 1204, 25095, 1321, 1219, 15065, 1198, 9468, 1186, 488, 125, 123, 123, 131, 120, 125, 123, 124, 123, 121, 4511, 1158, 1622, 1227, 5505, 3301, 2399, 10656, 1561, 6127, 1469, 1594, 1736, 5766, 5567, 15587, 1123, 2499, 179, 8908, 19883, 3227, 1370, 1170, 6315, 1125, 5950, 9566, 2460, 2683, 1292, 1576, 6284, 16390, 1281, 5004, 3042, 1317, 8836, 1149, 2519, 3643, 4726, 1125, 9099, 2358, 3794, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1186, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 121, 3450, 18197, 3042, 1189, 9672, 1313, 1170, 2854, 17957, 1313, 1594, 6315, 1125, 10335, 2955, 180, 1518, 1255, 1662, 3276, 1595, 1810, 4855, 1188, 1594, 1294, 28269, 1214, 1469, 10721, 1836, 4173, 1145, 1173, 1383, 1117, 1357, 3227, 1370, 1170, 6315, 1125, 18065, 1342, 9103, 179, 16959, 1493, 1217, 2036, 6284, 16390, 10809, 1215, 1158, 3011, 1313, 1158, 4726, 1539, 13747, 2330, 13747, 488, 125, 123, 124, 126, 1186, 10651, 1125, 10721, 1836, 14299, 13747, 10335, 6871, 3450, 16823, 2445, 1313, 1248, 1475, 9080, 20728, 1810, 1318, 3419, 4726, 23170, 4655, 21687, 1186, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 1469, 1594, 1736, 5766, 1124, 16456, 1943, 2460, 24194, 121, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1110, 1913, 18583, 1313, 3171, 15532, 1313, 1170, 12630, 3071, 16274, 3747, 1318, 1375, 6533, 2201, 1188, 6284, 16390, 13322, 180, 1317, 17990, 29503, 7745, 1119, 16390, 1110, 2445, 20888, 1188, 31395, 1321, 19129, 1569, 1222, 2461, 179, 4313, 1321, 172, 1810, 3451, 4655, 2794, 1125, 6429, 1993, 1269, 27993, 1222, 1452, 2064, 1186, 23693, 1313, 1158, 6586, 488, 129, 1186, 488, 125, 123, 124, 126, 119, 1167, 1186, 11289, 1849, 1313, 1158, 15595, 1477, 2247, 6586, 1186, 488, 125, 123, 124, 128, 121, 3450, 1299, 23469, 1186, 12244, 1313, 1816, 15595, 1477, 2247, 6586, 1167, 1110, 26705, 1186, 6311, 3620, 8155, 488, 125, 128, 2749, 488, 125, 123, 124, 129, 119, 6284, 16390, 13322, 180, 8135, 6371, 1303, 1469, 10721, 1836, 15587, 1123, 2499, 179, 178, 2726, 1188, 3686, 2036, 6218, 5464, 1300, 1207, 2609, 11139, 1299, 19830, 2357, 1188, 3631, 1313, 1318, 21638, 1125, 9099, 6487, 14023, 6417, 4134, 15948, 5532, 1354, 16718, 1194, 3742, 9034, 4655, 2794, 9449, 9034, 4655, 2794, 1125, 14022, 8156, 1186, 2875, 488, 124, 132, 131, 126, 8156, 1188, 1233, 3622, 24547, 32001, 1424, 32000, 20036, 1628, 1119, 16390, 13322, 180, 1239, 1151, 11492, 16140, 1332, 16310, 2000, 13327, 1163, 15998, 1449, 1290, 31102, 1147, 1135, 6446, 1204, 25095, 1321, 1219, 15065, 1198, 15554, 3676, 6470, 14595, 1147, 1248, 1475, 9080, 20728, 1810, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 2114, 1171, 1539, 13747, 2330, 13747, 9663, 180, 11114, 1628, 1119, 16390, 13322, 180, 21605, 1147, 1350, 1190, 1762, 1110, 5100, 1147, 11444, 2468, 18252, 1142, 1239, 1578, 26924, 1199, 1269, 1499, 3890, 121, 3676, 12702, 2067, 11569, 1355, 1135, 1859, 1110, 3434, 3875, 1147, 1233, 3622, 1242, 7745, 1122, 8492, 2067, 9932, 1296, 1110, 3234, 1171, 6470, 14595, 1147, 1957, 5514, 1285, 2712, 6561, 1163, 17915, 2067, 11569, 1147, 24910, 1161, 14702, 1151, 1332, 16310, 121, 3743, 1135, 2819, 1161, 2067, 3660, 1659, 13322, 180, 2876, 1375, 8704, 1306, 20368, 17717, 4459, 1171, 1602, 24189, 1905, 2067, 11758, 19436, 1324, 1135, 6401, 1238, 6134, 7793, 1297, 3676, 26227, 15998, 2488, 2067, 1940, 16140, 28599, 1204, 25095, 1321, 1219, 15065, 1198, 9468, 1446, 488, 125, 123, 123, 131, 120, 125, 123, 124, 123, 121, 6226, 1135, 2704, 2283, 2754, 2293, 10229, 2067, 7107, 1324, 2067, 1736, 5766, 5567, 15587, 1123, 2499, 179, 8908, 1175, 28620, 9273, 1135, 5897, 1161, 5950, 9566, 2460, 2683, 1292, 1576, 6284, 16390, 2491, 1317, 1974, 1156, 1226, 1110, 1624, 9099, 6487, 28599, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1147, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 121, 3676, 20277, 18888, 3945, 1147, 2067, 5897, 1296, 10335, 2955, 180, 1518, 1255, 1662, 3276, 1595, 1810, 14126, 1163, 2067, 8557, 8173, 1324, 17071, 4173, 1145, 1173, 1383, 1117, 2000, 9273, 1135, 5897, 1161, 18065, 1342, 9103, 179, 16959, 1493, 1217, 2036, 6284, 16390, 6470, 4300, 2395, 1147, 1135, 6446, 1539, 13747, 2330, 13747, 1147, 488, 125, 123, 124, 126, 21857, 17071, 14299, 13747, 10335, 6871, 3676, 1959, 14595, 1147, 1248, 1475, 9080, 20728, 1810, 4129, 11492, 16140, 28599, 1147, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 1324, 2067, 1736, 5766, 1124, 16456, 1943, 2460, 24194, 121, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1463, 9104, 1589, 2127, 5057, 24463, 18888, 119, 17767, 6284, 16390, 13322, 180, 20505, 119, 7426, 1147, 1135, 16406, 8961, 7745, 1119, 16390, 1959, 3512, 1589, 1147, 1135, 2704, 1321, 19129, 1569, 1222, 2461, 179, 4313, 1321, 172, 1810, 1135, 11492, 3451, 1161, 6429, 1993, 1269, 27993, 1222, 1452, 2064, 1296, 1110, 15087, 1147, 6062, 488, 129, 1147, 488, 125, 123, 124, 126, 119, 1171, 1296, 1110, 9432, 1199, 1147, 1135, 1184, 27705, 6062, 1147, 488, 125, 123, 124, 128, 121, 3676, 3062, 1341, 1163, 1135, 12244, 1147, 1135, 1184, 27705, 6062, 1171, 12914, 1147, 2423, 2320, 1388, 3466, 6324, 488, 125, 128, 119, 488, 125, 123, 124, 129, 119, 6284, 16390, 13322, 180, 17080, 17071, 15587, 1123, 2499, 179, 8908, 1147, 3686, 2036, 6767, 1559, 1163, 1135, 30587, 1239, 6910, 174, 2754, 5376, 2903, 1147, 1110, 9099, 6487, 2704, 14023, 6417, 11114, 1194, 1891, 9520, 1194, 26722, 4672, 30490, 28216, 1332, 16310, 3229, 28216, 16140, 1332, 16310, 2056, 2589, 1147, 7327, 488, 124, 132, 131, 126, 2056, 2589, 1147, 1233, 3622, 24547, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 1119, 16390, 13322, 180, 1239, 1151, 11492, 16140, 1332, 16310, 2000, 13327, 1163, 15998, 1449, 1290, 31102, 1147, 1135, 6446, 1204, 25095, 1321, 1219, 15065, 1198, 15554, 3676, 6470, 14595, 1147, 1248, 1475, 9080, 20728, 1810, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 2114, 1171, 1539, 13747, 2330, 13747, 9663, 180, 11114, 1628, 1119, 16390, 13322, 180, 21605, 1147, 1350, 1190, 1762, 1110, 5100, 1147, 11444, 2468, 18252, 1142, 1239, 1578, 26924, 1199, 1269, 1499, 3890, 121, 3676, 12702, 2067, 11569, 1355, 1135, 1859, 1110, 3434, 3875, 1147, 1233, 3622, 1242, 7745, 1122, 8492, 2067, 9932, 1296, 1110, 3234, 1171, 6470, 14595, 1147, 1957, 5514, 1285, 2712, 6561, 1163, 17915, 2067, 11569, 1147, 24910, 1161, 14702, 1151, 1332, 16310, 121, 3743, 1135, 2819, 1161, 2067, 3660, 1659, 13322, 180, 2876, 1375, 8704, 1306, 20368, 17717, 4459, 1171, 1602, 24189, 1905, 2067, 11758, 19436, 1324, 1135, 6401, 1238, 6134, 7793, 1297, 3676, 26227, 15998, 2488, 2067, 1940, 16140, 28599, 1204, 25095, 1321, 1219, 15065, 1198, 9468, 1446, 488, 125, 123, 123, 131, 120, 125, 123, 124, 123, 121, 6226, 1135, 2704, 2283, 2754, 2293, 10229, 2067, 7107, 1324, 2067, 1736, 5766, 5567, 15587, 1123, 2499, 179, 8908, 1175, 28620, 9273, 1135, 5897, 1161, 5950, 9566, 2460, 2683, 1292, 1576, 6284, 16390, 2491, 1317, 1974, 1156, 1226, 1110, 1624, 9099, 6487, 28599, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1147, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 121, 3676, 20277, 18888, 3945, 1147, 2067, 5897, 1296, 10335, 2955, 180, 1518, 1255, 1662, 3276, 1595, 1810, 14126, 1163, 2067, 8557, 8173, 1324, 17071, 4173, 1145, 1173, 1383, 1117, 2000, 9273, 1135, 5897, 1161, 18065, 1342, 9103, 179, 16959, 1493, 1217, 2036, 6284, 16390, 6470, 4300, 2395, 1147, 1135, 6446, 1539, 13747, 2330, 13747, 1147, 488, 125, 123, 124, 126, 21857, 17071, 14299, 13747, 10335, 6871, 3676, 1959, 14595, 1147, 1248, 1475, 9080, 20728, 1810, 4129, 11492, 16140, 28599, 1147, 488, 125, 123, 124, 126, 120, 125, 123, 124, 127, 1324, 2067, 1736, 5766, 1124, 16456, 1943, 2460, 24194, 121, 15969, 12199, 1124, 28950, 1518, 6220, 14642, 1174, 6164, 1105, 1463, 9104, 1589, 2127, 5057, 24463, 18888, 119, 17767, 6284, 16390, 13322, 180, 20505, 119, 7426, 1147, 1135, 16406, 8961, 7745, 1119, 16390, 1959, 3512, 1589, 1147, 1135, 2704, 1321, 19129, 1569, 1222, 2461, 179, 4313, 1321, 172, 1810, 1135, 11492, 3451, 1161, 6429, 1993, 1269, 27993, 1222, 1452, 2064, 1296, 1110, 15087, 1147, 6062, 488, 129, 1147, 488, 125, 123, 124, 126, 119, 1171, 1296, 1110, 9432, 1199, 1147, 1135, 1184, 27705, 6062, 1147, 488, 125, 123, 124, 128, 121, 3676, 3062, 1341, 1163, 1135, 12244, 1147, 1135, 1184, 27705, 6062, 1171, 12914, 1147, 2423, 2320, 1388, 3466, 6324, 488, 125, 128, 119, 488, 125, 123, 124, 129, 119, 6284, 16390, 13322, 180, 17080, 17071, 15587, 1123, 2499, 179, 8908, 1147, 3686, 2036, 6767, 1559, 1163, 1135, 30587, 1239, 6910, 174, 2754, 5376, 2903, 1147, 1110, 9099, 6487, 2704, 14023, 6417, 11114, 1194, 1891, 9520, 1194, 26722, 4672, 30490, 28216, 1332, 16310, 3229, 28216, 16140, 1332, 16310, 2056, 2589, 1147, 7327, 488, 124, 132, 131, 126, 2056, 2589, 1147, 1233, 3622, 24547, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 30382, 186, 9512, 14289, 133, 25417, 359, 5021, 18849, 116, 1239, 1110, 10617, 11183, 20883, 1147, 488, 124, 132, 125, 126, 1147, 1135, 29234, 8006, 10177, 7055, 3616, 9921, 1463, 28156, 20883, 1238, 6674, 488, 124, 131, 119, 488, 124, 132, 125, 126, 1238, 1135, 14990, 1161, 25083, 1757, 1222, 6759, 181, 1554, 182, 3266, 1410, 8603, 1463, 1163, 3493, 5641, 1161, 6750, 6515, 2882, 1171, 3270, 1477, 1141, 1163, 8511, 6436, 1297, 13265, 1135, 14807, 1272, 1161, 1135, 4046, 30895, 1704, 1161, 1135, 18220, 4525, 1500, 1161, 1135, 1518, 9200, 119, 1266, 150, 161, 5730, 1171, 1204, 161, 5730, 2717, 20829, 1883, 5559, 1446, 1135, 2730, 6515, 9778, 1457, 1459, 1135, 3162, 3602, 5055, 6832, 19368, 1135, 3234, 1463, 2217, 5459, 1163, 1135, 9166, 1161, 1135, 22349, 2893, 1237, 119, 15776, 1135, 15418, 1161, 6670, 10617, 12555, 21322, 29633, 30382, 186, 1147, 8961, 18948, 1329, 1222, 1109, 1174, 186, 2397, 1193, 1112, 173, 1147, 1671, 1839, 1180, 20689, 1575, 4023, 4301, 1135, 8937, 30382, 186, 1602, 20277, 2717, 3945, 1104, 1147, 6750, 10617, 1238, 1151, 4578, 10120, 6649, 488, 124, 132, 126, 130, 119, 1135, 10617, 9921, 1463, 21302, 1135, 14545, 1161, 26404, 1109, 1388, 4848, 1135, 5334, 1161, 1135, 22349, 2893, 1237, 119, 1543, 10617, 15490, 2025, 31341, 2127, 3172, 5878, 1285, 5298, 13618, 2670, 1789, 5379, 25200, 1410, 9921, 1239, 7455, 1110, 14289, 23342, 10617, 4571, 4558, 1147, 17347, 1246, 121, 1410, 4571, 1959, 1602, 5057, 26946, 8336, 28983, 1147, 1922, 8676, 4741, 5371, 1124, 3794, 10516, 8188, 4741, 9692, 4741, 25412, 19480, 1243, 3100, 1518, 7490, 9248, 197, 1243, 3100, 14772, 193, 4741, 1204, 2066, 1651, 1810, 12047, 4741, 1198, 4520, 2461, 1267, 3100, 28177, 8676, 1267, 3100, 1171, 18541, 8509, 4751, 186, 2324, 3913, 1446, 488, 124, 132, 127, 129, 120, 124, 132, 132, 124, 1763, 1109, 1174, 186, 1671, 1371, 9591, 1147, 1135, 1922, 8676, 2323, 16814, 157, 1763, 1109, 1174, 186, 1204, 1554, 182, 1147, 1135, 5371, 1124, 1153, 2323, 16814, 157, 1763, 4751, 186, 1198, 1390, 6883, 1147, 1135, 7572, 1105, 2323, 16814, 157, 1763, 1109, 1174, 186, 1198, 3097, 1120, 180, 1147, 1135, 9692, 2323, 16814, 157, 1763, 1109, 1174, 186, 2068, 1724, 4379, 3113, 1147, 1135, 25412, 19480, 16814, 157, 1763, 1109, 1174, 186, 1248, 23624, 1147, 1135, 14772, 193, 2323, 16814, 157, 1763, 1109, 1174, 186, 17347, 1246, 1147, 1135, 14289, 1173, 15566, 157, 1763, 4751, 186, 25412, 3100, 30382, 186, 1200, 7837, 1154, 5242, 30382, 186, 8929, 1180, 1456, 1187, 5005, 119, 1222, 1109, 1174, 186, 1518, 9080, 185, 1259, 5567, 1171, 1222, 1109, 1174, 186, 3281, 27898, 12579, 1147, 1135, 14289, 1173, 15566, 157, 1763, 4751, 186, 1518, 25875, 1147, 1135, 12163, 3191, 2323, 16814, 157, 1194, 21320, 1959, 1763, 1109, 1174, 186, 2397, 1193, 1112, 173, 2056, 1107, 183, 4975, 13054, 30382, 186, 1628, 146, 30382, 186, 1222, 1312, 8221, 1763, 1109, 1174, 186, 1233, 2547, 1124, 1182, 1763, 1109, 1174, 186, 1198, 1187, 4436, 1763, 1109, 1174, 186, 3261, 1182, 1763, 4751, 186, 4466, 1347, 1233, 2394, 181, 1651, 1443, 1763, 1109, 1174, 186, 16604, 28389, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 11934, 1715, 1147, 1135, 29234, 8006, 1720, 2756, 2059, 4536, 5878, 1147, 18846, 1628, 4536, 19720, 11183, 1329, 9921, 114, 32001, 1424, 32000, 20036, 2359, 30382, 186, 1362, 1222, 1109, 1174, 186, 7216, 15393, 1257, 25417, 359, 5021, 18849, 116, 1299, 1318, 11183, 24142, 9760, 29277, 4536, 16512, 1186, 488, 124, 132, 125, 126, 1186, 8006, 24696, 1960, 20481, 22066, 17025, 1299, 24697, 16512, 1170, 488, 124, 131, 3012, 488, 124, 132, 125, 126, 1300, 1318, 14990, 1125, 25083, 1757, 1222, 6759, 181, 1554, 182, 3266, 2576, 11900, 1299, 1125, 6292, 1571, 4634, 1197, 4399, 2882, 1125, 3789, 1167, 3270, 1989, 1125, 27572, 1170, 6436, 121, 2358, 1183, 244, 2290, 1170, 14807, 1272, 1227, 3276, 1955, 244, 12781, 6113, 1197, 14547, 1416, 3402, 1392, 1227, 1518, 9200, 119, 1266, 150, 12602, 1167, 1204, 161, 5730, 1125, 5087, 11776, 183, 12202, 8979, 2457, 1125, 1158, 14954, 3657, 121, 3762, 1207, 9881, 4092, 6441, 1158, 22925, 12507, 27213, 1170, 7042, 8135, 10591, 244, 1313, 1170, 3293, 1227, 12316, 1125, 5613, 17936, 7037, 1158, 5735, 16724, 1642, 1430, 31490, 13982, 11712, 1257, 29633, 30382, 186, 1186, 17490, 1125, 5613, 1243, 1362, 1222, 1109, 1174, 186, 2397, 1193, 1112, 173, 1186, 2631, 178, 1180, 20689, 1214, 4023, 17971, 1962, 1197, 4092, 1170, 30382, 186, 1110, 27216, 1125, 5087, 9672, 1313, 4399, 10617, 1188, 6577, 18199, 10903, 8370, 488, 124, 132, 126, 130, 119, 1158, 3385, 1125, 6436, 1299, 11401, 1303, 1125, 29204, 13976, 1125, 1200, 1538, 1314, 27404, 1158, 19403, 1227, 12316, 1125, 5613, 17936, 21989, 23182, 1197, 15490, 31490, 1508, 6033, 1473, 1186, 14596, 2301, 3392, 4491, 1199, 4701, 2290, 1964, 1874, 1304, 5668, 4994, 1643, 3385, 1299, 11041, 1318, 3385, 15393, 1125, 6436, 1125, 23342, 20936, 1188, 17347, 30701, 1643, 3385, 9924, 2445, 1125, 3171, 1962, 13404, 1188, 30748, 1186, 15005, 1538, 2620, 7072, 1819, 1121, 2331, 2620, 10516, 8188, 2620, 17367, 2601, 2620, 25412, 19480, 1243, 3100, 17575, 1681, 1493, 1267, 3100, 1200, 1706, 1105, 2620, 1204, 2066, 1342, 2620, 7839, 1712, 2620, 1198, 16603, 2461, 1267, 3100, 7311, 12624, 1538, 9090, 1167, 18541, 1388, 2809, 3913, 23924, 1317, 30382, 186, 1125, 488, 124, 132, 127, 129, 120, 124, 132, 132, 124, 17322, 1109, 1174, 186, 1254, 1112, 9591, 1186, 21017, 17194, 184, 23619, 1763, 1109, 1174, 186, 1204, 1554, 182, 1186, 21017, 1125, 7072, 1819, 1121, 2331, 1214, 1763, 4751, 186, 1198, 1390, 6883, 1186, 21017, 6348, 1243, 7138, 1763, 1109, 1174, 186, 1198, 3097, 17077, 1186, 21017, 1125, 17367, 2601, 1214, 1763, 1109, 1174, 186, 2068, 1724, 4379, 3113, 1186, 21017, 1498, 1992, 1569, 1122, 1763, 1109, 1174, 186, 1248, 23624, 1186, 21017, 1125, 1200, 1706, 7138, 1763, 1109, 1174, 186, 17347, 1118, 1186, 25304, 15566, 1125, 14512, 1763, 4751, 186, 25412, 3100, 30382, 186, 1200, 7837, 1154, 5242, 30382, 186, 8929, 3716, 173, 1187, 5005, 119, 1222, 1109, 1174, 186, 1518, 9080, 185, 1259, 1124, 1167, 1222, 1109, 1174, 186, 30707, 1630, 1201, 10914, 1186, 25304, 15566, 1125, 14512, 1763, 4751, 186, 1518, 25875, 1186, 21017, 1304, 29640, 13459, 2072, 17322, 1109, 1174, 186, 2397, 1193, 1112, 173, 2056, 1107, 183, 4975, 13054, 30382, 186, 1628, 146, 30382, 186, 1222, 1312, 1208, 1763, 1109, 1174, 186, 1233, 1308, 1124, 1182, 1763, 1109, 1174, 186, 1198, 1187, 4436, 1763, 1109, 1174, 186, 3261, 1182, 1763, 4751, 186, 4466, 1347, 1233, 2394, 181, 1651, 1443, 1763, 1109, 1174, 186, 16604, 1118, 3679, 7364, 5825, 12928, 1286, 9229, 11934, 1715, 1186, 8006, 24696, 1960, 11049, 1287, 9760, 29277, 4536, 1186, 14512, 13779, 4453, 1362, 20636, 15923, 1317, 6436, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 30382, 186, 1362, 1222, 1109, 1174, 186, 7216, 15393, 1257, 25417, 359, 5021, 18849, 116, 1299, 1318, 11183, 24142, 9760, 29277, 4536, 16512, 1186, 488, 124, 132, 125, 126, 1186, 8006, 24696, 1960, 20481, 22066, 17025, 1299, 24697, 16512, 1170, 488, 124, 131, 3012, 488, 124, 132, 125, 126, 1300, 1318, 14990, 1125, 25083, 1757, 1222, 6759, 181, 1554, 182, 3266, 2576, 11900, 1299, 1125, 6292, 1571, 4634, 1197, 4399, 2882, 1125, 3789, 1167, 3270, 1989, 1125, 27572, 1170, 6436, 121, 2358, 1183, 244, 2290, 1170, 14807, 1272, 1227, 3276, 1955, 244, 12781, 6113, 1197, 14547, 1416, 3402, 1392, 1227, 1518, 9200, 119, 1266, 150, 12602, 1167, 1204, 161, 5730, 1125, 5087, 11776, 183, 12202, 8979, 2457, 1125, 1158, 14954, 3657, 121, 3762, 1207, 9881, 4092, 6441, 1158, 22925, 12507, 27213, 1170, 7042, 8135, 10591, 244, 1313, 1170, 3293, 1227, 12316, 1125, 5613, 17936, 7037, 1158, 5735, 16724, 1642, 1430, 31490, 13982, 11712, 1257, 29633, 30382, 186, 1186, 17490, 1125, 5613, 1243, 1362, 1222, 1109, 1174, 186, 2397, 1193, 1112, 173, 1186, 2631, 178, 1180, 20689, 1214, 4023, 17971, 1962, 1197, 4092, 1170, 30382, 186, 1110, 27216, 1125, 5087, 9672, 1313, 4399, 10617, 1188, 6577, 18199, 10903, 8370, 488, 124, 132, 126, 130, 119, 1158, 3385, 1125, 6436, 1299, 11401, 1303, 1125, 29204, 13976, 1125, 1200, 1538, 1314, 27404, 1158, 19403, 1227, 12316, 1125, 5613, 17936, 21989, 23182, 1197, 15490, 31490, 1508, 6033, 1473, 1186, 14596, 2301, 3392, 4491, 1199, 4701, 2290, 1964, 1874, 1304, 5668, 4994, 1643, 3385, 1299, 11041, 1318, 3385, 15393, 1125, 6436, 1125, 23342, 20936, 1188, 17347, 30701, 1643, 3385, 9924, 2445, 1125, 3171, 1962, 13404, 1188, 30748, 1186, 15005, 1538, 2620, 7072, 1819, 1121, 2331, 2620, 10516, 8188, 2620, 17367, 2601, 2620, 25412, 19480, 1243, 3100, 17575, 1681, 1493, 1267, 3100, 1200, 1706, 1105, 2620, 1204, 2066, 1342, 2620, 7839, 1712, 2620, 1198, 16603, 2461, 1267, 3100, 7311, 12624, 1538, 9090, 1167, 18541, 1388, 2809, 3913, 23924, 1317, 30382, 186, 1125, 488, 124, 132, 127, 129, 120, 124, 132, 132, 124, 17322, 1109, 1174, 186, 1254, 1112, 9591, 1186, 21017, 17194, 184, 23619, 1763, 1109, 1174, 186, 1204, 1554, 182, 1186, 21017, 1125, 7072, 1819, 1121, 2331, 1214, 1763, 4751, 186, 1198, 1390, 6883, 1186, 21017, 6348, 1243, 7138, 1763, 1109, 1174, 186, 1198, 3097, 17077, 1186, 21017, 1125, 17367, 2601, 1214, 1763, 1109, 1174, 186, 2068, 1724, 4379, 3113, 1186, 21017, 1498, 1992, 1569, 1122, 1763, 1109, 1174, 186, 1248, 23624, 1186, 21017, 1125, 1200, 1706, 7138, 1763, 1109, 1174, 186, 17347, 1118, 1186, 25304, 15566, 1125, 14512, 1763, 4751, 186, 25412, 3100, 30382, 186, 1200, 7837, 1154, 5242, 30382, 186, 8929, 3716, 173, 1187, 5005, 119, 1222, 1109, 1174, 186, 1518, 9080, 185, 1259, 1124, 1167, 1222, 1109, 1174, 186, 30707, 1630, 1201, 10914, 1186, 25304, 15566, 1125, 14512, 1763, 4751, 186, 1518, 25875, 1186, 21017, 1304, 29640, 13459, 2072, 17322, 1109, 1174, 186, 2397, 1193, 1112, 173, 2056, 1107, 183, 4975, 13054, 30382, 186, 1628, 146, 30382, 186, 1222, 1312, 1208, 1763, 1109, 1174, 186, 1233, 1308, 1124, 1182, 1763, 1109, 1174, 186, 1198, 1187, 4436, 1763, 1109, 1174, 186, 3261, 1182, 1763, 4751, 186, 4466, 1347, 1233, 2394, 181, 1651, 1443, 1763, 1109, 1174, 186, 16604, 1118, 3679, 7364, 5825, 12928, 1286, 9229, 11934, 1715, 1186, 8006, 24696, 1960, 11049, 1287, 9760, 29277, 4536, 1186, 14512, 13779, 4453, 1362, 20636, 15923, 1317, 6436, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 22448, 2268, 28150, 3276, 1343, 1810, 5252, 1170, 488, 125, 129, 2875, 488, 124, 132, 130, 123, 1188, 5826, 2673, 6229, 1822, 22021, 1496, 1299, 1189, 5598, 3657, 5263, 5485, 12260, 22930, 1262, 1227, 2482, 9029, 1484, 25907, 1188, 1158, 15890, 1197, 14094, 1197, 24884, 18640, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 124, 123, 14231, 25268, 9209, 1188, 1158, 15890, 1197, 14094, 1227, 2482, 9029, 1484, 25907, 1125, 488, 125, 123, 123, 123, 1188, 488, 125, 123, 123, 125, 121, 1867, 488, 125, 123, 123, 125, 1188, 488, 125, 123, 123, 127, 119, 1527, 1844, 3247, 1125, 10796, 1227, 12260, 22930, 1262, 1933, 173, 24891, 4279, 12258, 1299, 11538, 17023, 25623, 1125, 488, 125, 123, 123, 125, 1188, 488, 125, 123, 123, 129, 119, 2648, 16487, 1125, 1158, 3837, 1835, 488, 125, 123, 123, 129, 1167, 488, 125, 123, 124, 123, 12258, 1299, 15599, 1188, 1158, 15890, 1197, 14094, 1197, 9864, 1313, 1170, 3151, 10750, 1227, 2482, 9029, 1484, 25907, 2391, 1197, 13118, 1125, 488, 125, 123, 124, 123, 121, 5370, 244, 1215, 1158, 20899, 22930, 8012, 1527, 10907, 1158, 4018, 2009, 5016, 2009, 10325, 3676, 172, 3486, 4448, 119, 29551, 1199, 488, 128, 127, 2199, 1197, 8945, 2714, 488, 127, 125, 119, 127, 2199, 1188, 1158, 3175, 11463, 8820, 12932, 2165, 1408, 14429, 1188, 15466, 1125, 1158, 1338, 7771, 1125, 4173, 1480, 4032, 26029, 3676, 172, 3486, 4448, 5909, 1561, 3360, 3383, 1257, 3276, 1343, 172, 7171, 30690, 1125, 2351, 3402, 1469, 488, 127, 129, 2199, 1197, 4001, 9172, 2714, 488, 127, 132, 119, 131, 2199, 1256, 3676, 172, 3486, 4448, 121, 7823, 1197, 13118, 1125, 6534, 2010, 1265, 1128, 1125, 488, 125, 123, 124, 127, 119, 1527, 31883, 488, 128, 124, 119, 130, 2199, 1197, 8945, 1167, 11083, 1158, 15890, 1197, 14094, 1186, 8585, 1199, 1188, 3631, 3676, 172, 3486, 4448, 31070, 18989, 488, 125, 123, 124, 128, 119, 1527, 1305, 15167, 2782, 8217, 488, 126, 128, 128, 488, 123, 123, 123, 10609, 1125, 14582, 26221, 2137, 1125, 1158, 1910, 1125, 1909, 6393, 1256, 1561, 3453, 9625, 1317, 7114, 189, 18424, 1768, 18764, 1189, 30940, 1469, 1158, 6086, 20237, 1366, 10328, 11038, 1257, 1527, 11533, 1816, 8126, 1167, 14652, 1318, 17601, 1125, 488, 124, 128, 488, 123, 123, 123, 16002, 1297, 20702, 27539, 22930, 2915, 2487, 1158, 17252, 7886, 26651, 23341, 7416, 27736, 13250, 1188, 23598, 19035, 23688, 1440, 17813, 3701, 1527, 1299, 15599, 1188, 1561, 1338, 7771, 1186, 488, 125, 123, 124, 129, 121, 1768, 18900, 1158, 21701, 22930, 2100, 1125, 5125, 488, 124, 488, 125, 125, 130, 8945, 3691, 1188, 7507, 16456, 186, 2562, 1175, 127, 129, 119, 128, 2199, 2714, 488, 127, 128, 119, 126, 2199, 1576, 1548, 488, 488, 131, 2578, 488, 125, 123, 124, 129, 119, 1527, 1299, 10907, 1585, 1125, 1996, 1215, 3676, 172, 3486, 4448, 119, 1357, 31642, 488, 127, 127, 2199, 1197, 4001, 9172, 2714, 488, 127, 126, 2199, 1256, 3276, 1343, 172, 2040, 1189, 15599, 16421, 1125, 8632, 31642, 488, 132, 2199, 1197, 8945, 121, 32001, 1424, 32000, 20036, 16213, 2268, 28150, 3276, 1343, 1810, 9204, 1238, 7327, 488, 125, 129, 119, 488, 124, 132, 130, 123, 1147, 5826, 2673, 6229, 1822, 22021, 1496, 1239, 1151, 4950, 12809, 20101, 1110, 21500, 24788, 1446, 2482, 9029, 1484, 25907, 1147, 1135, 4909, 6716, 6842, 1161, 27501, 19137, 1940, 21247, 1147, 488, 125, 123, 124, 123, 9663, 180, 11114, 19980, 11462, 1147, 1135, 2482, 9029, 1484, 25907, 6842, 1161, 27501, 3825, 1446, 488, 125, 123, 123, 123, 1163, 488, 125, 123, 123, 125, 121, 7752, 488, 125, 123, 123, 125, 1163, 488, 125, 123, 123, 127, 119, 1386, 1463, 1910, 1161, 27501, 1985, 1933, 173, 24891, 4279, 1361, 3390, 1388, 3780, 1463, 1110, 25623, 5100, 23578, 1121, 1446, 488, 125, 123, 123, 125, 1163, 488, 125, 123, 123, 129, 119, 1171, 2491, 1135, 2277, 1121, 1161, 1135, 5100, 1446, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 124, 123, 1388, 3780, 17326, 1226, 1135, 4909, 6716, 6842, 1161, 27501, 3825, 1147, 2482, 9029, 1484, 25907, 1361, 1940, 10750, 1147, 1135, 488, 125, 123, 124, 123, 11827, 1297, 1248, 6561, 1135, 21500, 17236, 119, 1386, 17809, 1589, 3000, 5821, 1129, 24788, 10325, 3676, 172, 3486, 4448, 119, 2978, 1977, 1149, 488, 128, 127, 112, 1161, 1135, 18110, 1163, 1135, 6411, 1237, 9566, 1361, 488, 127, 125, 121, 127, 17041, 12409, 3162, 18775, 3545, 4173, 1480, 15771, 1361, 1169, 176, 2001, 119, 3676, 172, 3486, 4448, 4241, 2067, 5478, 1315, 133, 3276, 1343, 172, 21437, 1269, 8720, 1135, 11827, 1324, 488, 127, 129, 112, 1161, 1135, 18110, 1163, 3676, 172, 3486, 4448, 1361, 488, 127, 132, 121, 131, 17041, 1459, 1135, 488, 125, 123, 124, 127, 7515, 5274, 11827, 1285, 1386, 9917, 1324, 488, 128, 124, 121, 130, 112, 1161, 1135, 7086, 1346, 1169, 14682, 1149, 1765, 17556, 1147, 1135, 6842, 1161, 27501, 3825, 1449, 17809, 2267, 3676, 172, 3486, 4448, 5376, 2903, 6649, 16957, 488, 125, 123, 124, 128, 119, 1386, 26970, 1163, 18045, 1631, 126, 128, 128, 119, 123, 123, 123, 1147, 23358, 14582, 1446, 1765, 6393, 1226, 1765, 1940, 1191, 11237, 1132, 8769, 121, 2133, 13372, 1110, 27742, 1324, 1135, 16055, 1254, 2001, 5204, 133, 1386, 2762, 12169, 1135, 3830, 1171, 11417, 1110, 1631, 124, 128, 119, 123, 123, 123, 1131, 4994, 29347, 1132, 21500, 4124, 8802, 3813, 8689, 2111, 26651, 23341, 1190, 3212, 10339, 1156, 2667, 1163, 1432, 1442, 121, 25058, 1135, 17813, 2726, 1386, 17326, 1226, 1169, 176, 2001, 1147, 488, 125, 123, 124, 129, 121, 2133, 9917, 1135, 21500, 9832, 1449, 2351, 488, 124, 119, 125, 125, 130, 18110, 4064, 7507, 16456, 186, 2562, 1175, 127, 129, 121, 128, 112, 1163, 488, 127, 128, 121, 126, 112, 1576, 2502, 7286, 488, 131, 119, 488, 125, 123, 124, 129, 119, 1386, 1463, 21437, 1269, 17809, 1589, 1449, 3676, 172, 3486, 4448, 119, 2000, 31278, 488, 127, 127, 112, 1161, 1135, 18110, 1163, 1765, 488, 127, 126, 112, 134, 1110, 3936, 4817, 1149, 10559, 15379, 31278, 488, 132, 112, 1161, 1135, 7086, 1457, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 16213, 2268, 28150, 3276, 1343, 1810, 9204, 1238, 7327, 488, 125, 129, 119, 488, 124, 132, 130, 123, 1147, 5826, 2673, 6229, 1822, 22021, 1496, 1239, 1151, 4950, 12809, 20101, 1110, 21500, 24788, 1446, 2482, 9029, 1484, 25907, 1147, 1135, 4909, 6716, 6842, 1161, 27501, 19137, 1940, 21247, 1147, 488, 125, 123, 124, 123, 9663, 180, 11114, 19980, 11462, 1147, 1135, 2482, 9029, 1484, 25907, 6842, 1161, 27501, 3825, 1446, 488, 125, 123, 123, 123, 1163, 488, 125, 123, 123, 125, 121, 7752, 488, 125, 123, 123, 125, 1163, 488, 125, 123, 123, 127, 119, 1386, 1463, 1910, 1161, 27501, 1985, 1933, 173, 24891, 4279, 1361, 3390, 1388, 3780, 1463, 1110, 25623, 5100, 23578, 1121, 1446, 488, 125, 123, 123, 125, 1163, 488, 125, 123, 123, 129, 119, 1171, 2491, 1135, 2277, 1121, 1161, 1135, 5100, 1446, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 124, 123, 1388, 3780, 17326, 1226, 1135, 4909, 6716, 6842, 1161, 27501, 3825, 1147, 2482, 9029, 1484, 25907, 1361, 1940, 10750, 1147, 1135, 488, 125, 123, 124, 123, 11827, 1297, 1248, 6561, 1135, 21500, 17236, 119, 1386, 17809, 1589, 3000, 5821, 1129, 24788, 10325, 3676, 172, 3486, 4448, 119, 2978, 1977, 1149, 488, 128, 127, 112, 1161, 1135, 18110, 1163, 1135, 6411, 1237, 9566, 1361, 488, 127, 125, 121, 127, 17041, 12409, 3162, 18775, 3545, 4173, 1480, 15771, 1361, 1169, 176, 2001, 119, 3676, 172, 3486, 4448, 4241, 2067, 5478, 1315, 133, 3276, 1343, 172, 21437, 1269, 8720, 1135, 11827, 1324, 488, 127, 129, 112, 1161, 1135, 18110, 1163, 3676, 172, 3486, 4448, 1361, 488, 127, 132, 121, 131, 17041, 1459, 1135, 488, 125, 123, 124, 127, 7515, 5274, 11827, 1285, 1386, 9917, 1324, 488, 128, 124, 121, 130, 112, 1161, 1135, 7086, 1346, 1169, 14682, 1149, 1765, 17556, 1147, 1135, 6842, 1161, 27501, 3825, 1449, 17809, 2267, 3676, 172, 3486, 4448, 5376, 2903, 6649, 16957, 488, 125, 123, 124, 128, 119, 1386, 26970, 1163, 18045, 1631, 126, 128, 128, 119, 123, 123, 123, 1147, 23358, 14582, 1446, 1765, 6393, 1226, 1765, 1940, 1191, 11237, 1132, 8769, 121, 2133, 13372, 1110, 27742, 1324, 1135, 16055, 1254, 2001, 5204, 133, 1386, 2762, 12169, 1135, 3830, 1171, 11417, 1110, 1631, 124, 128, 119, 123, 123, 123, 1131, 4994, 29347, 1132, 21500, 4124, 8802, 3813, 8689, 2111, 26651, 23341, 1190, 3212, 10339, 1156, 2667, 1163, 1432, 1442, 121, 25058, 1135, 17813, 2726, 1386, 17326, 1226, 1169, 176, 2001, 1147, 488, 125, 123, 124, 129, 121, 2133, 9917, 1135, 21500, 9832, 1449, 2351, 488, 124, 119, 125, 125, 130, 18110, 4064, 7507, 16456, 186, 2562, 1175, 127, 129, 121, 128, 112, 1163, 488, 127, 128, 121, 126, 112, 1576, 2502, 7286, 488, 131, 119, 488, 125, 123, 124, 129, 119, 1386, 1463, 21437, 1269, 17809, 1589, 1449, 3676, 172, 3486, 4448, 119, 2000, 31278, 488, 127, 127, 112, 1161, 1135, 18110, 1163, 1765, 488, 127, 126, 112, 134, 1110, 3936, 4817, 1149, 10559, 15379, 31278, 488, 132, 112, 1161, 1135, 7086, 1457, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 146, 1203, 1333, 3984, 12810, 3113, 13272, 189, 6526, 1175, 2003, 1652, 20817, 5862, 7327, 488, 125, 131, 119, 488, 124, 131, 129, 130, 1323, 14940, 20817, 5862, 6674, 488, 124, 125, 119, 488, 124, 132, 127, 124, 116, 1463, 1110, 21798, 1943, 6517, 1146, 13808, 3344, 1659, 4001, 1154, 1454, 3212, 22615, 7377, 2625, 13808, 1171, 12809, 2323, 121, 3676, 1463, 1135, 10283, 1161, 1135, 3447, 13839, 1161, 1135, 4966, 9756, 1226, 24938, 1173, 3205, 3277, 1147, 1352, 239, 195, 181, 257, 1446, 488, 124, 132, 123, 126, 120, 124, 132, 124, 127, 119, 1171, 1147, 14940, 20817, 184, 1446, 488, 124, 132, 124, 127, 120, 124, 132, 125, 124, 121, 3676, 1959, 11462, 1238, 1135, 5100, 23578, 1226, 1135, 16424, 2314, 1147, 1352, 239, 195, 181, 257, 1446, 488, 124, 132, 124, 123, 120, 124, 132, 124, 127, 10177, 1107, 6393, 2025, 18142, 15243, 20330, 21942, 9061, 1171, 28108, 16871, 5614, 29322, 6637, 3676, 6971, 2067, 10375, 1446, 1405, 1228, 190, 10168, 4017, 1147, 488, 124, 131, 131, 130, 1171, 13196, 1110, 2708, 143, 1147, 31740, 1446, 1405, 1228, 190, 10168, 4017, 1147, 488, 124, 132, 123, 124, 121, 1459, 488, 124, 132, 123, 125, 119, 2293, 17080, 14363, 182, 13272, 14741, 3266, 3676, 8627, 1296, 1110, 16920, 1355, 1110, 15733, 114, 2533, 3875, 1147, 1352, 239, 195, 181, 257, 1446, 488, 124, 132, 123, 125, 120, 124, 132, 123, 129, 119, 1171, 1296, 1110, 16920, 1147, 6750, 15733, 114, 13020, 1147, 14940, 20817, 184, 1446, 488, 124, 132, 124, 127, 120, 124, 132, 126, 124, 15826, 1203, 1333, 13272, 189, 6526, 7905, 10936, 1147, 1135, 22615, 7377, 13167, 1296, 1110, 6924, 1355, 1405, 1228, 190, 10168, 1147, 1135, 488, 124, 131, 132, 123, 1285, 2468, 2293, 8158, 1324, 1135, 21961, 18950, 3575, 4670, 3046, 1700, 2360, 8125, 184, 2318, 4414, 6767, 4522, 1147, 1135, 22615, 13167, 24035, 9433, 1446, 2067, 3022, 1189, 1636, 3054, 1132, 12989, 12680, 5459, 1449, 2067, 22528, 1131, 17604, 2293, 12360, 9841, 15441, 9247, 1355, 1110, 1907, 2043, 1341, 1463, 18799, 1474, 1226, 5718, 1163, 1560, 31034, 3676, 1959, 27479, 1110, 8801, 9932, 13715, 3026, 15126, 2754, 1355, 1110, 1907, 2043, 17080, 5718, 2025, 1375, 5978, 1163, 2922, 23973, 1457, 3676, 7905, 5041, 11467, 6103, 1147, 488, 124, 132, 123, 127, 2043, 2293, 14010, 1135, 3447, 4001, 3277, 13167, 1147, 1352, 239, 195, 181, 257, 119, 10874, 14702, 1110, 29393, 8017, 1147, 1135, 21798, 1943, 22615, 4001, 3277, 13167, 1388, 1891, 9520, 4030, 21160, 1306, 1156, 193, 1390, 1175, 125, 123, 124, 124, 1576, 17599, 16099, 1254, 19789, 1722, 1105, 1200, 2506, 188, 193, 22676, 2885, 1240, 1352, 240, 189, 1177, 239, 1824, 184, 239, 4270, 172, 14689, 1297, 1350, 184, 1498, 193, 6883, 2589, 1141, 1498, 1916, 24777, 1177, 257, 2835, 239, 1824, 1240, 1252, 257, 6420, 1193, 24979, 1374, 5435, 1203, 1333, 1165, 13272, 14741, 2433, 1147, 133, 1114, 2014, 133, 488, 130, 124, 132, 126, 119, 21798, 1943, 7072, 28988, 27168, 5905, 1175, 2514, 1449, 1306, 181, 12248, 5746, 1548, 12744, 4023, 26722, 14520, 1628, 30999, 1943, 12809, 2323, 2056, 2589, 1147, 7327, 488, 124, 131, 129, 130, 1763, 2295, 1147, 6674, 488, 124, 132, 127, 124, 1566, 1741, 1324, 1189, 1112, 2964, 1156, 9104, 1430, 1763, 2295, 1355, 1135, 7227, 1161, 488, 130, 126, 121, 32001, 1424, 32000, 20036, 2911, 1203, 1333, 3984, 12810, 3113, 13272, 189, 6526, 1175, 2003, 1652, 20817, 5862, 488, 488, 125, 131, 2875, 488, 124, 131, 129, 130, 1323, 14940, 20817, 5862, 488, 488, 124, 125, 3012, 488, 124, 132, 127, 124, 116, 1299, 1318, 6517, 1146, 14662, 15644, 8012, 4001, 1154, 1454, 3212, 5846, 2009, 1197, 4274, 1125, 1158, 4875, 1167, 4875, 3657, 31767, 7269, 121, 488, 3450, 1299, 12752, 1125, 1158, 4960, 13359, 1125, 1282, 15297, 5277, 1256, 1170, 7596, 1197, 5247, 1125, 1352, 239, 195, 181, 257, 119, 488, 124, 132, 123, 126, 120, 124, 132, 124, 127, 119, 1167, 14940, 20817, 5862, 488, 124, 132, 124, 127, 120, 124, 132, 125, 124, 119, 1167, 9209, 1313, 1170, 5809, 17023, 1256, 1207, 2539, 19465, 1188, 1352, 239, 195, 181, 257, 119, 1186, 488, 124, 132, 124, 123, 120, 124, 132, 124, 127, 121, 23178, 1104, 6393, 1508, 1170, 13787, 15243, 20330, 21942, 9061, 1167, 28108, 16871, 5614, 29322, 6637, 488, 3450, 18764, 1594, 19860, 1188, 1158, 488, 19529, 1304, 160, 1228, 190, 10168, 1186, 488, 124, 131, 131, 130, 1167, 7354, 28067, 1186, 20727, 1188, 15714, 1304, 160, 1228, 190, 10168, 1186, 488, 124, 132, 123, 124, 121, 488, 1653, 488, 124, 132, 123, 125, 119, 2399, 16722, 14363, 182, 13272, 14741, 3266, 488, 3450, 9900, 1856, 14986, 2009, 1188, 19543, 22055, 1256, 13257, 1125, 1352, 239, 195, 181, 257, 119, 1186, 488, 124, 132, 123, 125, 120, 123, 129, 119, 1167, 1856, 14986, 2009, 1313, 6040, 15509, 1256, 13257, 1188, 14940, 20817, 5862, 1186, 488, 124, 132, 124, 127, 120, 124, 132, 126, 124, 121, 2093, 146, 1203, 1333, 13272, 189, 6526, 2368, 25537, 1317, 9221, 1197, 4274, 1197, 5247, 1186, 4083, 1980, 244, 3898, 2009, 1188, 1405, 1228, 190, 10168, 1313, 1207, 4092, 488, 124, 131, 132, 123, 119, 2585, 2399, 1110, 18279, 244, 1170, 28674, 21961, 20669, 1199, 4670, 3046, 1700, 2360, 8125, 184, 2318, 4414, 6218, 13315, 1256, 1170, 9221, 1197, 5247, 2074, 1888, 1215, 1561, 5865, 12835, 1357, 16570, 1382, 5937, 6744, 121, 488, 1173, 1261, 13874, 1215, 1594, 9159, 5885, 12001, 2399, 1110, 6403, 244, 1188, 15714, 3042, 1309, 23780, 2743, 18799, 2357, 1256, 1318, 4875, 121, 3450, 3031, 2445, 1318, 27720, 10336, 1594, 6371, 3301, 1188, 1318, 18318, 2585, 1207, 5247, 6371, 1473, 2551, 19068, 1382, 14951, 1473, 1994, 3951, 1188, 2770, 4247, 1297, 488, 3450, 1299, 18717, 6103, 1186, 3657, 1186, 488, 124, 132, 123, 127, 119, 13625, 1378, 8135, 26589, 1313, 1158, 12856, 13359, 1227, 9221, 1256, 1170, 4001, 3277, 1188, 1352, 239, 195, 181, 257, 119, 1167, 1299, 7581, 18717, 1318, 8017, 1253, 1577, 1849, 1227, 9221, 31767, 1517, 1256, 1170, 4001, 3277, 1197, 5247, 24890, 1424, 1922, 21160, 1306, 1156, 193, 1390, 1175, 125, 123, 124, 124, 1576, 17599, 16099, 1254, 19789, 1722, 1105, 1200, 2506, 188, 193, 22676, 4366, 1240, 1352, 240, 189, 1177, 239, 1824, 184, 239, 4270, 172, 14689, 1297, 1350, 184, 1498, 193, 6883, 2589, 1141, 1498, 1916, 24777, 1177, 257, 2835, 239, 1824, 1240, 1252, 257, 6420, 1193, 24979, 1374, 1155, 1293, 1203, 1333, 1165, 13272, 14741, 2433, 13311, 133, 1114, 2014, 133, 488, 130, 124, 132, 126, 1859, 1173, 24183, 17049, 3260, 1307, 14192, 11659, 191, 21966, 2461, 1105, 1175, 1516, 1305, 1306, 181, 12248, 5746, 1548, 12744, 1496, 6749, 28870, 5825, 28912, 25736, 3657, 31767, 7269, 8156, 1186, 2875, 488, 124, 131, 129, 130, 9317, 1186, 3012, 488, 124, 132, 127, 124, 1566, 1741, 1469, 1197, 1441, 19297, 2081, 1826, 1813, 9317, 1188, 488, 130, 126, 8793, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2911, 1203, 1333, 3984, 12810, 3113, 13272, 189, 6526, 1175, 2003, 1652, 20817, 5862, 488, 488, 125, 131, 2875, 488, 124, 131, 129, 130, 1323, 14940, 20817, 5862, 488, 488, 124, 125, 3012, 488, 124, 132, 127, 124, 116, 1299, 1318, 6517, 1146, 14662, 15644, 8012, 4001, 1154, 1454, 3212, 5846, 2009, 1197, 4274, 1125, 1158, 4875, 1167, 4875, 3657, 31767, 7269, 121, 488, 3450, 1299, 12752, 1125, 1158, 4960, 13359, 1125, 1282, 15297, 5277, 1256, 1170, 7596, 1197, 5247, 1125, 1352, 239, 195, 181, 257, 119, 488, 124, 132, 123, 126, 120, 124, 132, 124, 127, 119, 1167, 14940, 20817, 5862, 488, 124, 132, 124, 127, 120, 124, 132, 125, 124, 119, 1167, 9209, 1313, 1170, 5809, 17023, 1256, 1207, 2539, 19465, 1188, 1352, 239, 195, 181, 257, 119, 1186, 488, 124, 132, 124, 123, 120, 124, 132, 124, 127, 121, 23178, 1104, 6393, 1508, 1170, 13787, 15243, 20330, 21942, 9061, 1167, 28108, 16871, 5614, 29322, 6637, 488, 3450, 18764, 1594, 19860, 1188, 1158, 488, 19529, 1304, 160, 1228, 190, 10168, 1186, 488, 124, 131, 131, 130, 1167, 7354, 28067, 1186, 20727, 1188, 15714, 1304, 160, 1228, 190, 10168, 1186, 488, 124, 132, 123, 124, 121, 488, 1653, 488, 124, 132, 123, 125, 119, 2399, 16722, 14363, 182, 13272, 14741, 3266, 488, 3450, 9900, 1856, 14986, 2009, 1188, 19543, 22055, 1256, 13257, 1125, 1352, 239, 195, 181, 257, 119, 1186, 488, 124, 132, 123, 125, 120, 123, 129, 119, 1167, 1856, 14986, 2009, 1313, 6040, 15509, 1256, 13257, 1188, 14940, 20817, 5862, 1186, 488, 124, 132, 124, 127, 120, 124, 132, 126, 124, 121, 2093, 146, 1203, 1333, 13272, 189, 6526, 2368, 25537, 1317, 9221, 1197, 4274, 1197, 5247, 1186, 4083, 1980, 244, 3898, 2009, 1188, 1405, 1228, 190, 10168, 1313, 1207, 4092, 488, 124, 131, 132, 123, 119, 2585, 2399, 1110, 18279, 244, 1170, 28674, 21961, 20669, 1199, 4670, 3046, 1700, 2360, 8125, 184, 2318, 4414, 6218, 13315, 1256, 1170, 9221, 1197, 5247, 2074, 1888, 1215, 1561, 5865, 12835, 1357, 16570, 1382, 5937, 6744, 121, 488, 1173, 1261, 13874, 1215, 1594, 9159, 5885, 12001, 2399, 1110, 6403, 244, 1188, 15714, 3042, 1309, 23780, 2743, 18799, 2357, 1256, 1318, 4875, 121, 3450, 3031, 2445, 1318, 27720, 10336, 1594, 6371, 3301, 1188, 1318, 18318, 2585, 1207, 5247, 6371, 1473, 2551, 19068, 1382, 14951, 1473, 1994, 3951, 1188, 2770, 4247, 1297, 488, 3450, 1299, 18717, 6103, 1186, 3657, 1186, 488, 124, 132, 123, 127, 119, 13625, 1378, 8135, 26589, 1313, 1158, 12856, 13359, 1227, 9221, 1256, 1170, 4001, 3277, 1188, 1352, 239, 195, 181, 257, 119, 1167, 1299, 7581, 18717, 1318, 8017, 1253, 1577, 1849, 1227, 9221, 31767, 1517, 1256, 1170, 4001, 3277, 1197, 5247, 24890, 1424, 1922, 21160, 1306, 1156, 193, 1390, 1175, 125, 123, 124, 124, 1576, 17599, 16099, 1254, 19789, 1722, 1105, 1200, 2506, 188, 193, 22676, 4366, 1240, 1352, 240, 189, 1177, 239, 1824, 184, 239, 4270, 172, 14689, 1297, 1350, 184, 1498, 193, 6883, 2589, 1141, 1498, 1916, 24777, 1177, 257, 2835, 239, 1824, 1240, 1252, 257, 6420, 1193, 24979, 1374, 1155, 1293, 1203, 1333, 1165, 13272, 14741, 2433, 13311, 133, 1114, 2014, 133, 488, 130, 124, 132, 126, 1859, 1173, 24183, 17049, 3260, 1307, 14192, 11659, 191, 21966, 2461, 1105, 1175, 1516, 1305, 1306, 181, 12248, 5746, 1548, 12744, 1496, 6749, 28870, 5825, 28912, 25736, 3657, 31767, 7269, 8156, 1186, 2875, 488, 124, 131, 129, 130, 9317, 1186, 3012, 488, 124, 132, 127, 124, 1566, 1741, 1469, 1197, 1441, 19297, 2081, 1826, 1813, 9317, 1188, 488, 130, 126, 8793, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 21311, 1258, 1272, 1257, 1306, 27427, 13607, 173, 1977, 5383, 30941, 1257, 28708, 1342, 18458, 4975, 1763, 2026, 1125, 8969, 1257, 1186, 17490, 106, 1257, 1186, 2315, 32001, 1424, 32000, 20036, 2586, 2689, 9513, 1306, 27427, 13607, 173, 1977, 5383, 1619, 16694, 28708, 1342, 18458, 4975, 5061, 3866, 12542, 133, 1147, 7927, 18100, 133, 1147, 2315, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2586, 2689, 9513, 1306, 27427, 13607, 173, 1977, 5383, 1619, 16694, 28708, 1342, 18458, 4975, 5061, 3866, 12542, 133, 1147, 7927, 18100, 133, 1147, 2315, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 26294, 1161, 1135, 17960, 175, 1224, 7529, 172, 1239, 1151, 13575, 1121, 1926, 21683, 12770, 11316, 1446, 488, 124, 131, 131, 126, 119, 17823, 1135, 17960, 175, 1224, 7529, 172, 1446, 1293, 3376, 3589, 157, 3841, 15150, 4529, 4419, 17024, 1161, 7558, 2563, 1264, 4886, 1171, 17960, 175, 1224, 1161, 16957, 116, 1449, 12770, 1595, 1121, 9147, 25691, 1134, 3174, 11383, 2580, 1355, 13063, 7529, 172, 1147, 16244, 2196, 2114, 1147, 1135, 10341, 7678, 6054, 1161, 29541, 14861, 3383, 23678, 1389, 10177, 7055, 9693, 13575, 1121, 1926, 26294, 1449, 12770, 1595, 1121, 9147, 25691, 9871, 1175, 124, 131, 125, 132, 120, 124, 132, 123, 130, 119, 9204, 1147, 16244, 2196, 2114, 6924, 1161, 9228, 1248, 2394, 119, 1171, 1959, 1110, 12770, 1595, 1121, 1226, 1135, 26749, 3813, 4546, 1813, 2068, 4487, 1696, 1161, 1135, 5100, 1161, 16244, 2196, 1105, 1175, 124, 131, 131, 127, 116, 1171, 1410, 8454, 19659, 24601, 1161, 10676, 31810, 1175, 124, 132, 123, 125, 2084, 13601, 1135, 1293, 3376, 3589, 157, 3841, 1139, 17024, 4613, 26422, 1224, 7529, 1810, 1147, 9329, 1161, 1135, 19382, 3589, 157, 3841, 2499, 1134, 1119, 2323, 12238, 1554, 1161, 1352, 1104, 1105, 1117, 2086, 1161, 1135, 5517, 1161, 16244, 2196, 1105, 21698, 1463, 12627, 1171, 18504, 1136, 1589, 1147, 488, 124, 131, 131, 127, 1238, 3263, 1161, 1110, 3934, 26300, 2323, 5454, 1147, 1135, 8302, 1161, 1110, 18253, 1132, 1131, 1848, 1262, 1147, 1135, 8302, 1161, 13063, 1125, 1158, 14818, 7416, 1175, 3099, 5417, 13063, 7529, 172, 1496, 1147, 1135, 14671, 7044, 18959, 121, 1410, 26294, 1239, 16289, 488, 125, 1127, 27868, 1171, 27181, 190, 3575, 488, 127, 123, 123, 14829, 134, 1341, 1463, 3062, 1147, 488, 127, 7780, 1449, 1135, 2855, 14210, 5814, 3218, 1857, 8509, 6129, 1135, 15290, 1755, 2071, 5512, 2160, 189, 1212, 13650, 5814, 31436, 2025, 20108, 1199, 2128, 1226, 21683, 19183, 121, 2192, 1463, 1135, 2464, 1226, 7529, 1810, 1758, 1463, 12367, 5064, 1147, 8322, 488, 124, 132, 127, 124, 1355, 1135, 5761, 1161, 1252, 1314, 11384, 1171, 7386, 31145, 1163, 1110, 4472, 26081, 1865, 1147, 1306, 1118, 1208, 14086, 121, 19239, 1163, 1135, 8758, 1161, 1135, 2277, 4834, 14363, 28543, 185, 3174, 1135, 26294, 22178, 1305, 186, 3853, 3026, 15392, 1427, 2860, 1171, 1463, 1169, 3173, 7851, 1355, 13063, 7529, 1810, 3575, 1135, 10220, 1161, 488, 124, 132, 127, 126, 6043, 1131, 1848, 1262, 1463, 20108, 1199, 2128, 1147, 488, 124, 132, 128, 123, 5404, 1163, 15317, 1169, 4299, 3520, 1161, 1135, 10804, 119, 1171, 1135, 26294, 1463, 2491, 11085, 1163, 13063, 1197, 1198, 1415, 1203, 1285, 2979, 3026, 12627, 2903, 134, 1147, 488, 124, 132, 132, 132, 119, 1238, 1110, 19742, 1182, 2726, 1147, 1110, 17118, 1161, 13063, 7529, 172, 1388, 21320, 1959, 3050, 7055, 1161, 16244, 2196, 1105, 3050, 1107, 13769, 1161, 16244, 2196, 1105, 2911, 3376, 3589, 157, 3841, 15150, 4529, 1489, 1267, 1161, 5814, 31436, 1147, 1135, 10341, 7678, 14438, 1131, 1848, 1925, 1161, 16244, 2196, 1105, 19886, 185, 4080, 1132, 1171, 1856, 19727, 1985, 2067, 13769, 1161, 16244, 2196, 1105, 1194, 26722, 14520, 2056, 1104, 2196, 1105, 1147, 1135, 12594, 4196, 1301, 7044, 3926, 9080, 2056, 2548, 2174, 12770, 11316, 1530, 2340, 6268, 1926, 12770, 11316, 2105, 30206, 12770, 11316, 1161, 1135, 488, 124, 132, 1276, 14851, 106, 124, 131, 131, 127, 1147, 12770, 11316, 4030, 191, 2401, 1147, 16244, 2196, 1105, 32001, 1424, 32000, 20036, 2895, 26294, 1125, 1158, 1275, 3402, 3758, 1345, 1299, 1318, 12770, 11316, 30498, 1121, 1460, 1186, 21683, 1125, 488, 124, 131, 131, 126, 119, 1125, 1158, 1275, 3402, 1125, 1158, 15150, 4058, 1638, 1416, 3589, 3511, 2100, 3758, 1345, 4419, 196, 2402, 1122, 1125, 1158, 2164, 8796, 1197, 14462, 1285, 1197, 8082, 1346, 1167, 1275, 3402, 1227, 18989, 116, 1227, 21359, 1836, 9147, 25691, 1134, 3174, 6581, 1303, 2320, 3758, 1345, 1188, 16244, 2196, 2114, 1313, 1170, 10341, 7678, 1186, 29541, 14861, 3383, 23678, 1389, 10177, 15376, 12176, 26294, 30498, 1121, 1460, 1227, 21359, 1836, 9147, 25691, 9871, 1175, 124, 131, 125, 132, 120, 124, 132, 123, 130, 119, 1139, 3193, 1125, 16244, 2196, 2114, 29139, 1125, 9228, 1248, 2394, 119, 1167, 2445, 21359, 1836, 1256, 1158, 2076, 19110, 1835, 16085, 1197, 4546, 1813, 3454, 1603, 4846, 1125, 1158, 3837, 1125, 16244, 2196, 1105, 1175, 124, 131, 131, 127, 116, 1167, 1125, 2814, 140, 187, 1752, 244, 1679, 1125, 10676, 31810, 1175, 124, 132, 123, 125, 2084, 11404, 1158, 1139, 196, 2402, 1122, 2065, 1473, 1206, 1638, 1416, 3589, 3511, 2100, 3758, 8796, 1186, 11252, 1197, 29636, 1173, 2603, 12828, 23105, 3589, 3511, 2100, 1125, 1352, 1104, 1105, 1117, 2086, 1125, 13400, 1125, 16244, 2196, 1105, 30079, 1299, 5039, 1303, 1167, 18504, 12104, 1186, 488, 124, 131, 131, 127, 1317, 19121, 2519, 26974, 1947, 26300, 3556, 5039, 1303, 1317, 4779, 2519, 4256, 2100, 18253, 1366, 1317, 4779, 1125, 1158, 2320, 1125, 1158, 14818, 7416, 14153, 173, 21258, 1303, 2320, 3758, 1345, 1496, 1227, 12311, 1197, 14671, 1154, 5068, 1643, 26294, 1844, 11073, 1985, 1160, 488, 125, 1127, 1125, 10240, 1167, 1113, 7551, 3997, 488, 127, 123, 123, 14829, 2040, 2399, 1299, 15633, 1186, 488, 127, 5737, 1215, 1158, 3080, 4054, 23290, 2855, 14210, 8509, 16274, 14097, 1968, 1755, 2071, 1207, 14766, 23290, 1186, 4972, 1541, 2081, 4014, 1112, 1250, 1508, 4128, 2610, 7717, 1186, 5588, 1125, 1158, 27835, 1227, 21683, 121, 6053, 1170, 2015, 1125, 3758, 1345, 1357, 1299, 19756, 2806, 1622, 488, 124, 132, 127, 124, 119, 1188, 12547, 10070, 1197, 14948, 120, 8752, 31600, 20845, 2121, 14663, 1303, 2079, 1189, 20873, 1125, 3175, 26081, 1188, 1306, 1118, 1208, 14086, 121, 16321, 1571, 22177, 1227, 1127, 3693, 14363, 28543, 185, 3174, 1158, 26294, 6143, 24824, 12048, 1188, 1158, 1131, 14504, 1167, 1299, 1338, 6147, 1303, 2320, 3758, 8796, 11073, 1985, 1160, 1317, 4319, 1125, 488, 124, 132, 127, 126, 10803, 4256, 2100, 1299, 1805, 8414, 5563, 1186, 488, 124, 132, 128, 123, 119, 3011, 1188, 1158, 1338, 8698, 24644, 1125, 1158, 13571, 1167, 1158, 26294, 1299, 3042, 13198, 1303, 2320, 1197, 1198, 1415, 1203, 1285, 2567, 9033, 12652, 1303, 134, 1186, 488, 124, 132, 132, 132, 119, 1300, 1189, 6907, 1740, 1182, 2726, 1313, 1189, 15841, 1125, 1158, 2320, 3758, 1345, 11488, 1167, 20117, 2072, 24357, 1125, 16244, 2196, 1105, 1566, 1128, 9330, 1125, 16244, 2196, 1105, 1720, 3771, 4058, 1638, 1416, 3589, 3511, 2100, 27012, 1197, 14766, 23290, 1227, 10341, 7678, 2105, 1258, 2915, 13060, 1125, 16244, 2196, 1105, 1566, 1128, 9330, 1329, 2500, 1132, 1167, 1497, 2035, 1121, 3193, 1125, 16244, 2196, 1105, 7364, 5825, 2056, 1104, 2196, 1105, 1313, 1207, 12594, 4196, 1301, 7044, 3926, 9080, 1628, 2652, 11316, 1186, 21683, 1628, 2652, 11316, 30498, 1121, 1460, 1628, 2652, 11316, 5964, 1227, 26851, 6298, 106, 124, 131, 131, 127, 1186, 12770, 11316, 106, 282, 10843, 23290, 1188, 16244, 2196, 1105, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 26294, 1125, 1158, 1275, 3402, 3758, 1345, 1299, 1318, 12770, 11316, 30498, 1121, 1460, 1186, 21683, 1125, 488, 124, 131, 131, 126, 119, 1125, 1158, 1275, 3402, 1125, 1158, 15150, 4058, 1638, 1416, 3589, 3511, 2100, 3758, 1345, 4419, 196, 2402, 1122, 1125, 1158, 2164, 8796, 1197, 14462, 1285, 1197, 8082, 1346, 1167, 1275, 3402, 1227, 18989, 116, 1227, 21359, 1836, 9147, 25691, 1134, 3174, 6581, 1303, 2320, 3758, 1345, 1188, 16244, 2196, 2114, 1313, 1170, 10341, 7678, 1186, 29541, 14861, 3383, 23678, 1389, 10177, 15376, 12176, 26294, 30498, 1121, 1460, 1227, 21359, 1836, 9147, 25691, 9871, 1175, 124, 131, 125, 132, 120, 124, 132, 123, 130, 119, 1139, 3193, 1125, 16244, 2196, 2114, 29139, 1125, 9228, 1248, 2394, 119, 1167, 2445, 21359, 1836, 1256, 1158, 2076, 19110, 1835, 16085, 1197, 4546, 1813, 3454, 1603, 4846, 1125, 1158, 3837, 1125, 16244, 2196, 1105, 1175, 124, 131, 131, 127, 116, 1167, 1125, 2814, 140, 187, 1752, 244, 1679, 1125, 10676, 31810, 1175, 124, 132, 123, 125, 2084, 11404, 1158, 1139, 196, 2402, 1122, 2065, 1473, 1206, 1638, 1416, 3589, 3511, 2100, 3758, 8796, 1186, 11252, 1197, 29636, 1173, 2603, 12828, 23105, 3589, 3511, 2100, 1125, 1352, 1104, 1105, 1117, 2086, 1125, 13400, 1125, 16244, 2196, 1105, 30079, 1299, 5039, 1303, 1167, 18504, 12104, 1186, 488, 124, 131, 131, 127, 1317, 19121, 2519, 26974, 1947, 26300, 3556, 5039, 1303, 1317, 4779, 2519, 4256, 2100, 18253, 1366, 1317, 4779, 1125, 1158, 2320, 1125, 1158, 14818, 7416, 14153, 173, 21258, 1303, 2320, 3758, 1345, 1496, 1227, 12311, 1197, 14671, 1154, 5068, 1643, 26294, 1844, 11073, 1985, 1160, 488, 125, 1127, 1125, 10240, 1167, 1113, 7551, 3997, 488, 127, 123, 123, 14829, 2040, 2399, 1299, 15633, 1186, 488, 127, 5737, 1215, 1158, 3080, 4054, 23290, 2855, 14210, 8509, 16274, 14097, 1968, 1755, 2071, 1207, 14766, 23290, 1186, 4972, 1541, 2081, 4014, 1112, 1250, 1508, 4128, 2610, 7717, 1186, 5588, 1125, 1158, 27835, 1227, 21683, 121, 6053, 1170, 2015, 1125, 3758, 1345, 1357, 1299, 19756, 2806, 1622, 488, 124, 132, 127, 124, 119, 1188, 12547, 10070, 1197, 14948, 120, 8752, 31600, 20845, 2121, 14663, 1303, 2079, 1189, 20873, 1125, 3175, 26081, 1188, 1306, 1118, 1208, 14086, 121, 16321, 1571, 22177, 1227, 1127, 3693, 14363, 28543, 185, 3174, 1158, 26294, 6143, 24824, 12048, 1188, 1158, 1131, 14504, 1167, 1299, 1338, 6147, 1303, 2320, 3758, 8796, 11073, 1985, 1160, 1317, 4319, 1125, 488, 124, 132, 127, 126, 10803, 4256, 2100, 1299, 1805, 8414, 5563, 1186, 488, 124, 132, 128, 123, 119, 3011, 1188, 1158, 1338, 8698, 24644, 1125, 1158, 13571, 1167, 1158, 26294, 1299, 3042, 13198, 1303, 2320, 1197, 1198, 1415, 1203, 1285, 2567, 9033, 12652, 1303, 134, 1186, 488, 124, 132, 132, 132, 119, 1300, 1189, 6907, 1740, 1182, 2726, 1313, 1189, 15841, 1125, 1158, 2320, 3758, 1345, 11488, 1167, 20117, 2072, 24357, 1125, 16244, 2196, 1105, 1566, 1128, 9330, 1125, 16244, 2196, 1105, 1720, 3771, 4058, 1638, 1416, 3589, 3511, 2100, 27012, 1197, 14766, 23290, 1227, 10341, 7678, 2105, 1258, 2915, 13060, 1125, 16244, 2196, 1105, 1566, 1128, 9330, 1329, 2500, 1132, 1167, 1497, 2035, 1121, 3193, 1125, 16244, 2196, 1105, 7364, 5825, 2056, 1104, 2196, 1105, 1313, 1207, 12594, 4196, 1301, 7044, 3926, 9080, 1628, 2652, 11316, 1186, 21683, 1628, 2652, 11316, 30498, 1121, 1460, 1628, 2652, 11316, 5964, 1227, 26851, 6298, 106, 124, 131, 131, 127, 1186, 12770, 11316, 106, 282, 10843, 23290, 1188, 16244, 2196, 1105, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 21311, 1387, 179, 1651, 16390, 10273, 1239, 1110, 13243, 1147, 1135, 20477, 8302, 1161, 17347, 1246, 9994, 4514, 1171, 3101, 1489, 1237, 1589, 1375, 4490, 1446, 6214, 17671, 119, 1341, 13414, 1355, 1135, 15689, 1651, 1953, 182, 16390, 1198, 2428, 7958, 2177, 1641, 1202, 1314, 1198, 2428, 116, 1161, 1135, 1518, 1112, 2526, 1109, 1171, 16669, 1355, 1204, 2988, 1315, 17671, 121, 1198, 2094, 182, 16390, 24773, 17089, 2393, 16390, 18965, 1953, 182, 16390, 24773, 1171, 1352, 5945, 175, 193, 1493, 5966, 5778, 10273, 15788, 1363, 1324, 1204, 1387, 179, 1651, 16390, 10273, 1238, 1135, 3936, 5054, 121, 1988, 13486, 2127, 21103, 14935, 6363, 1248, 180, 1217, 10273, 7933, 1145, 1213, 1361, 22624, 4023, 17696, 1109, 1161, 1135, 2220, 3229, 1135, 488, 124, 131, 1276, 31046, 1970, 1463, 1151, 4006, 3619, 1355, 1413, 5589, 2468, 1106, 6299, 1127, 3377, 1463, 8420, 1163, 1281, 1132, 1135, 1185, 4632, 2910, 1135, 2341, 190, 1161, 10920, 1108, 10077, 1457, 1410, 2220, 1161, 1135, 13243, 6227, 1446, 1413, 3619, 4880, 1387, 179, 1323, 26435, 372, 1147, 14289, 1323, 4918, 1127, 3377, 4023, 24436, 2105, 3511, 488, 124, 132, 129, 124, 1163, 488, 124, 132, 132, 127, 119, 1341, 1463, 4494, 5886, 1124, 195, 19522, 2758, 4713, 1190, 1364, 20646, 1171, 4985, 5955, 2523, 154, 3104, 3243, 3605, 1156, 5054, 1339, 153, 2181, 488, 132, 133, 11704, 28755, 1161, 5643, 13228, 1161, 17347, 1246, 4017, 1147, 1110, 15449, 20556, 6540, 1175, 1570, 1269, 488, 124, 132, 1276, 14851, 1496, 1324, 1135, 3281, 1198, 1384, 4436, 14671, 1140, 1355, 1135, 17118, 1161, 17089, 2393, 16390, 18965, 1953, 182, 16390, 10273, 3057, 2181, 488, 124, 124, 133, 11704, 28755, 1161, 14542, 4529, 1161, 17347, 1246, 19476, 1169, 11922, 1449, 1222, 4043, 7187, 19889, 8851, 1171, 15989, 26904, 10737, 1293, 1738, 4846, 193, 3057, 2181, 488, 124, 130, 133, 4966, 9372, 3561, 7406, 1147, 488, 124, 132, 123, 124, 120, 124, 132, 123, 125, 3057, 2181, 488, 125, 124, 133, 5796, 1431, 1161, 1135, 1539, 19480, 1651, 5005, 1487, 2769, 2171, 1346, 7406, 1147, 488, 124, 131, 129, 131, 121, 7476, 1135, 4966, 11679, 1161, 24411, 1861, 1175, 15326, 22480, 1109, 1109, 11679, 4023, 144, 1549, 3243, 3605, 1156, 5054, 1339, 153, 2181, 488, 131, 133, 22335, 1127, 13235, 1446, 1135, 5756, 488, 124, 132, 1276, 14851, 3057, 2181, 488, 124, 127, 133, 6842, 1446, 488, 124, 131, 125, 128, 119, 3263, 11972, 1446, 488, 124, 131, 132, 126, 3057, 2181, 488, 124, 129, 133, 6842, 1446, 488, 124, 131, 127, 128, 119, 3263, 6162, 1500, 1446, 488, 124, 132, 124, 125, 3057, 2181, 488, 125, 124, 133, 22797, 25162, 1147, 488, 124, 132, 123, 124, 1449, 16860, 7198, 184, 4847, 24321, 119, 2692, 19087, 1449, 1135, 1222, 19093, 6700, 21775, 19289, 116, 3057, 2181, 488, 125, 129, 133, 1202, 2215, 28962, 31947, 1110, 6385, 1431, 7406, 1147, 488, 124, 130, 131, 127, 120, 124, 130, 131, 131, 1449, 12678, 2775, 1233, 1992, 5966, 1651, 1226, 27796, 1202, 2215, 182, 21632, 2192, 13782, 1288, 1237, 14875, 1926, 6540, 1147, 17347, 1246, 1602, 1169, 5344, 1156, 2470, 3162, 1161, 2377, 4078, 1171, 2692, 21642, 1910, 1161, 1135, 13183, 1161, 1135, 14289, 5011, 14650, 1171, 2730, 10367, 23495, 1516, 17805, 1226, 19550, 1171, 12512, 184, 3674, 1388, 21320, 1959, 1720, 1387, 179, 1651, 16390, 10273, 1175, 2003, 121, 27898, 12579, 1718, 158, 1373, 1130, 1147, 17347, 1246, 109, 32001, 1424, 32000, 20036, 2895, 5820, 1204, 1387, 179, 1651, 5363, 172, 1175, 335, 365, 372, 14966, 382, 11511, 7593, 373, 351, 116, 1299, 1318, 5820, 1227, 4779, 10777, 1125, 17347, 1118, 7745, 1123, 10878, 1167, 8139, 12928, 1123, 17238, 2081, 7477, 1125, 1158, 13063, 7839, 4780, 2399, 1910, 1125, 1158, 6745, 15689, 1651, 1953, 182, 5363, 172, 7958, 1123, 11879, 1692, 6745, 1125, 1158, 17261, 6106, 116, 1227, 1518, 1112, 2526, 1109, 1167, 1281, 20235, 13063, 1227, 3318, 7541, 121, 1643, 5820, 1198, 2094, 182, 5363, 1810, 1158, 5820, 17089, 1210, 5363, 172, 18965, 1953, 182, 5363, 172, 1167, 1158, 5820, 1352, 5945, 175, 12744, 181, 1108, 5778, 17272, 1313, 1158, 5820, 1204, 1387, 179, 1651, 5363, 172, 1227, 5719, 8632, 121, 3450, 1281, 1223, 9957, 1315, 1313, 1158, 5820, 21103, 14935, 6363, 1248, 180, 1217, 8665, 1248, 1475, 1197, 1539, 12783, 4023, 17696, 1314, 1227, 1874, 25268, 3495, 1370, 1317, 488, 124, 131, 2247, 6298, 1188, 3371, 14496, 1189, 7271, 5387, 2585, 10276, 9516, 1370, 1197, 1127, 6026, 1104, 2800, 3134, 1346, 1256, 1600, 184, 2078, 1207, 15788, 7998, 1197, 20593, 1554, 1197, 14855, 1125, 6141, 121, 1548, 1874, 1125, 1158, 5820, 2074, 1888, 1125, 1440, 5387, 4880, 1387, 179, 1323, 26435, 372, 1186, 15393, 1323, 10262, 26947, 4023, 147, 15376, 1424, 2524, 488, 124, 132, 129, 124, 1188, 488, 124, 132, 132, 127, 119, 2399, 11102, 1140, 1370, 1158, 1606, 11687, 8233, 1918, 195, 1524, 9663, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 14564, 28376, 1946, 1491, 1257, 31486, 132, 1257, 31215, 1125, 3347, 10224, 1125, 15714, 1125, 17347, 1118, 1313, 1189, 12685, 13753, 18699, 4250, 244, 2479, 26851, 6298, 1496, 1469, 1158, 26807, 13894, 7224, 1384, 24912, 1188, 1282, 6940, 1125, 1158, 5820, 17089, 1210, 5363, 172, 18965, 1953, 182, 5363, 172, 31486, 124, 124, 1257, 31215, 1125, 5690, 4058, 1125, 15714, 1125, 17347, 1118, 1685, 8414, 5563, 1215, 1222, 4043, 7187, 19889, 8851, 1167, 15989, 1119, 1483, 1293, 1738, 4846, 193, 31486, 124, 130, 1257, 1306, 7863, 4966, 119, 13826, 1186, 488, 124, 132, 123, 124, 120, 124, 132, 123, 125, 31486, 125, 124, 1257, 25424, 1197, 5038, 1887, 1539, 19480, 1651, 5005, 17345, 119, 13826, 1186, 488, 124, 131, 129, 131, 121, 1867, 8317, 16927, 3781, 1125, 14580, 11712, 12504, 1132, 1109, 1314, 1718, 142, 28376, 6643, 1257, 31486, 131, 1257, 1306, 7863, 6564, 4319, 26851, 6298, 31486, 124, 127, 1257, 11495, 1125, 488, 124, 131, 125, 128, 119, 4755, 1754, 1272, 1125, 488, 124, 131, 132, 126, 31486, 124, 129, 1257, 11495, 1125, 488, 124, 131, 127, 128, 119, 8176, 1754, 1741, 1125, 488, 124, 132, 124, 125, 31486, 125, 124, 1257, 3739, 1232, 12405, 13826, 1186, 488, 124, 132, 123, 124, 1215, 16860, 7198, 184, 4847, 24321, 119, 23924, 10125, 1188, 1158, 10341, 1724, 3057, 210, 125, 129, 1257, 11495, 1202, 1519, 182, 23640, 25986, 13826, 1186, 488, 124, 130, 131, 127, 120, 124, 130, 131, 131, 1215, 1352, 1322, 2993, 1233, 4520, 1108, 1651, 1256, 1170, 25468, 1202, 1519, 182, 21632, 2932, 12685, 5252, 1237, 14875, 1460, 13970, 1125, 17347, 1118, 1110, 10193, 1188, 3631, 2750, 1125, 20833, 4092, 1125, 19006, 1167, 1522, 2845, 1318, 3247, 1197, 13183, 1125, 1158, 25161, 23982, 1125, 14512, 1167, 1197, 18392, 15975, 25073, 1608, 1104, 1256, 1207, 19967, 1167, 5116, 7786, 30039, 2072, 1424, 157, 1277, 1204, 1387, 179, 1651, 5363, 172, 4289, 2472, 3486, 1630, 1201, 10914, 1718, 161, 8103, 1188, 17347, 1118, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 5820, 1204, 1387, 179, 1651, 5363, 172, 1175, 335, 365, 372, 14966, 382, 11511, 7593, 373, 351, 116, 1299, 1318, 5820, 1227, 4779, 10777, 1125, 17347, 1118, 7745, 1123, 10878, 1167, 8139, 12928, 1123, 17238, 2081, 7477, 1125, 1158, 13063, 7839, 4780, 2399, 1910, 1125, 1158, 6745, 15689, 1651, 1953, 182, 5363, 172, 7958, 1123, 11879, 1692, 6745, 1125, 1158, 17261, 6106, 116, 1227, 1518, 1112, 2526, 1109, 1167, 1281, 20235, 13063, 1227, 3318, 7541, 121, 1643, 5820, 1198, 2094, 182, 5363, 1810, 1158, 5820, 17089, 1210, 5363, 172, 18965, 1953, 182, 5363, 172, 1167, 1158, 5820, 1352, 5945, 175, 12744, 181, 1108, 5778, 17272, 1313, 1158, 5820, 1204, 1387, 179, 1651, 5363, 172, 1227, 5719, 8632, 121, 3450, 1281, 1223, 9957, 1315, 1313, 1158, 5820, 21103, 14935, 6363, 1248, 180, 1217, 8665, 1248, 1475, 1197, 1539, 12783, 4023, 17696, 1314, 1227, 1874, 25268, 3495, 1370, 1317, 488, 124, 131, 2247, 6298, 1188, 3371, 14496, 1189, 7271, 5387, 2585, 10276, 9516, 1370, 1197, 1127, 6026, 1104, 2800, 3134, 1346, 1256, 1600, 184, 2078, 1207, 15788, 7998, 1197, 20593, 1554, 1197, 14855, 1125, 6141, 121, 1548, 1874, 1125, 1158, 5820, 2074, 1888, 1125, 1440, 5387, 4880, 1387, 179, 1323, 26435, 372, 1186, 15393, 1323, 10262, 26947, 4023, 147, 15376, 1424, 2524, 488, 124, 132, 129, 124, 1188, 488, 124, 132, 132, 127, 119, 2399, 11102, 1140, 1370, 1158, 1606, 11687, 8233, 1918, 195, 1524, 9663, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 14564, 28376, 1946, 1491, 1257, 31486, 132, 1257, 31215, 1125, 3347, 10224, 1125, 15714, 1125, 17347, 1118, 1313, 1189, 12685, 13753, 18699, 4250, 244, 2479, 26851, 6298, 1496, 1469, 1158, 26807, 13894, 7224, 1384, 24912, 1188, 1282, 6940, 1125, 1158, 5820, 17089, 1210, 5363, 172, 18965, 1953, 182, 5363, 172, 31486, 124, 124, 1257, 31215, 1125, 5690, 4058, 1125, 15714, 1125, 17347, 1118, 1685, 8414, 5563, 1215, 1222, 4043, 7187, 19889, 8851, 1167, 15989, 1119, 1483, 1293, 1738, 4846, 193, 31486, 124, 130, 1257, 1306, 7863, 4966, 119, 13826, 1186, 488, 124, 132, 123, 124, 120, 124, 132, 123, 125, 31486, 125, 124, 1257, 25424, 1197, 5038, 1887, 1539, 19480, 1651, 5005, 17345, 119, 13826, 1186, 488, 124, 131, 129, 131, 121, 1867, 8317, 16927, 3781, 1125, 14580, 11712, 12504, 1132, 1109, 1314, 1718, 142, 28376, 6643, 1257, 31486, 131, 1257, 1306, 7863, 6564, 4319, 26851, 6298, 31486, 124, 127, 1257, 11495, 1125, 488, 124, 131, 125, 128, 119, 4755, 1754, 1272, 1125, 488, 124, 131, 132, 126, 31486, 124, 129, 1257, 11495, 1125, 488, 124, 131, 127, 128, 119, 8176, 1754, 1741, 1125, 488, 124, 132, 124, 125, 31486, 125, 124, 1257, 3739, 1232, 12405, 13826, 1186, 488, 124, 132, 123, 124, 1215, 16860, 7198, 184, 4847, 24321, 119, 23924, 10125, 1188, 1158, 10341, 1724, 3057, 210, 125, 129, 1257, 11495, 1202, 1519, 182, 23640, 25986, 13826, 1186, 488, 124, 130, 131, 127, 120, 124, 130, 131, 131, 1215, 1352, 1322, 2993, 1233, 4520, 1108, 1651, 1256, 1170, 25468, 1202, 1519, 182, 21632, 2932, 12685, 5252, 1237, 14875, 1460, 13970, 1125, 17347, 1118, 1110, 10193, 1188, 3631, 2750, 1125, 20833, 4092, 1125, 19006, 1167, 1522, 2845, 1318, 3247, 1197, 13183, 1125, 1158, 25161, 23982, 1125, 14512, 1167, 1197, 18392, 15975, 25073, 1608, 1104, 1256, 1207, 19967, 1167, 5116, 7786, 30039, 2072, 1424, 157, 1277, 1204, 1387, 179, 1651, 5363, 172, 4289, 2472, 3486, 1630, 1201, 10914, 1718, 161, 8103, 1188, 17347, 1118, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 12376, 12649, 18885, 1109, 1983, 133, 488, 590, 134, 1113, 11439, 1109, 133, 25022, 280, 4317, 1787, 289, 116, 1239, 1151, 15317, 10750, 1161, 17498, 1507, 3513, 5407, 1147, 23447, 194, 6871, 1988, 1239, 8452, 1147, 1135, 6830, 1161, 1135, 26749, 11294, 1341, 1602, 14834, 1110, 30318, 1147, 6986, 3162, 1296, 1624, 23751, 18959, 1285, 2536, 1296, 2271, 1123, 24685, 1537, 6332, 8947, 8206, 121, 1988, 1239, 3251, 1135, 24039, 10750, 1171, 1135, 24039, 8046, 10505, 1994, 3533, 2159, 1147, 23447, 13199, 1324, 1151, 5457, 1161, 4673, 2095, 488, 124, 7275, 125, 10177, 7055, 3616, 5100, 1161, 17498, 1507, 3513, 1463, 1940, 11219, 1147, 1413, 20193, 3187, 1135, 6054, 1463, 5376, 1110, 1557, 2393, 119, 1135, 5756, 10209, 18474, 3062, 1789, 16809, 6289, 1110, 3810, 30440, 5388, 1296, 1222, 1217, 1145, 121, 13265, 1135, 1787, 1149, 1222, 27401, 15106, 1413, 5457, 9828, 2127, 1110, 8366, 1403, 1212, 8046, 6043, 6054, 8456, 15052, 5733, 3545, 1135, 16375, 9644, 3520, 2670, 1135, 3185, 9040, 1161, 1293, 5243, 2460, 1109, 1326, 3266, 1192, 11200, 2678, 1463, 21743, 1296, 1910, 1161, 1135, 2678, 5772, 1449, 7451, 1518, 6883, 1195, 1414, 10175, 2333, 1171, 9029, 7497, 1671, 2215, 9249, 121, 30128, 17498, 1507, 3513, 21060, 2850, 21527, 1463, 7406, 3545, 1413, 1907, 1388, 2029, 1596, 1135, 9629, 1161, 29285, 5057, 16375, 10750, 1285, 3813, 1198, 1519, 1456, 4436, 9037, 2086, 16202, 6533, 9037, 2086, 1173, 1569, 4735, 9037, 2086, 1198, 1298, 179, 3589, 1210, 2086, 24212, 1124, 5086, 1210, 2086, 1266, 1943, 2461, 8092, 1210, 2086, 2460, 1343, 1137, 8092, 1210, 2086, 28400, 1193, 8092, 1210, 2086, 1306, 1889, 1515, 9037, 2086, 1171, 1325, 1569, 1174, 1889, 192, 9037, 186, 2025, 23799, 1156, 1163, 1830, 1135, 12376, 12649, 6043, 12376, 12649, 1463, 5376, 1135, 25136, 1161, 1543, 3434, 1171, 7252, 1147, 17498, 1507, 1145, 3296, 6067, 1296, 1135, 18959, 1463, 20083, 3545, 1135, 16375, 2543, 1810, 1135, 30025, 1393, 4397, 21437, 1163, 17225, 1230, 6184, 8206, 121, 19926, 1413, 15317, 5457, 1602, 14834, 30318, 1296, 1624, 10750, 1285, 2141, 2271, 1123, 1145, 1163, 1135, 1144, 7965, 28098, 3069, 3078, 1459, 488, 125, 123, 124, 123, 119, 1135, 17498, 1507, 3513, 5407, 9271, 11085, 1446, 1135, 12376, 12649, 1163, 1135, 2271, 1123, 1145, 12649, 121, 4597, 1129, 3733, 8758, 1537, 2023, 3062, 1163, 2674, 1651, 1230, 1135, 26749, 1324, 3447, 13474, 3068, 1135, 30519, 20477, 20646, 1163, 3630, 3430, 1492, 6774, 1171, 16978, 8509, 1320, 2430, 3674, 12662, 1273, 3111, 133, 488, 129, 119, 132, 132, 125, 6396, 28780, 488, 125, 123, 124, 131, 12125, 10944, 133, 488, 129, 119, 132, 132, 125, 122, 12624, 125, 1194, 4650, 3029, 28383, 9580, 5629, 24367, 1157, 1267, 7473, 29547, 12498, 10020, 7940, 14467, 4196, 1475, 1306, 14831, 9660, 13438, 27328, 1201, 1171, 11679, 1720, 20728, 2194, 5834, 30546, 1165, 3241, 13164, 1107, 17498, 1507, 3513, 21060, 2850, 21527, 1628, 6786, 8419, 1161, 17498, 1507, 3513, 5407, 1194, 29200, 1162, 3616, 12376, 12649, 1239, 11462, 1449, 17498, 1507, 3513, 18880, 21060, 2850, 21527, 1171, 8448, 2171, 1474, 6815, 2850, 488, 124, 125, 1388, 21320, 1959, 24367, 172, 1507, 3513, 1194, 26722, 14520, 1194, 1891, 9520, 24367, 172, 1507, 3513, 12649, 114, 32001, 1424, 32000, 20036, 2359, 10750, 12376, 1175, 8329, 1517, 1257, 488, 590, 2040, 1113, 11439, 1109, 133, 25022, 280, 4317, 1787, 289, 116, 1299, 1189, 10750, 27271, 1125, 1158, 3837, 1125, 17498, 1507, 3513, 119, 1188, 1198, 5363, 194, 6871, 1768, 1299, 8446, 1317, 7511, 1125, 1158, 19110, 1906, 3365, 9195, 9918, 1189, 30634, 2008, 8091, 4092, 1188, 4946, 1309, 1125, 5443, 24808, 1188, 9579, 4355, 1856, 2271, 1123, 24685, 2004, 9918, 1318, 11557, 4199, 7165, 1768, 18001, 1188, 1158, 12999, 1170, 1408, 4170, 10750, 1167, 1158, 1408, 5715, 1994, 3533, 2159, 17578, 1366, 1125, 1198, 5363, 13199, 1469, 1318, 27929, 21052, 1188, 488, 124, 7275, 125, 20481, 12616, 3837, 1125, 17498, 1507, 3513, 1110, 14867, 1913, 26033, 1313, 1440, 5397, 1117, 1657, 8921, 1158, 3734, 3031, 1574, 2462, 1517, 1189, 1557, 1416, 3301, 1207, 7790, 11411, 1281, 1508, 3662, 1234, 5639, 2519, 5715, 1600, 2316, 17874, 2290, 1170, 1874, 1125, 1222, 1217, 1145, 1175, 721, 1576, 13802, 1158, 1106, 27401, 4094, 1787, 2064, 1816, 3734, 8135, 3146, 1303, 1186, 1318, 3837, 1223, 2145, 1450, 10803, 3734, 1110, 9918, 1189, 4764, 25933, 1317, 3285, 1125, 1158, 9644, 2651, 12273, 4964, 2290, 1158, 3185, 9040, 1125, 1293, 5243, 2460, 1109, 1326, 3266, 3762, 1170, 4154, 1227, 2678, 9601, 1215, 7451, 1518, 6883, 1195, 1414, 10175, 2333, 1167, 9029, 7497, 1671, 2215, 9249, 119, 1189, 2678, 18592, 189, 18661, 1110, 1913, 21072, 121, 1778, 11346, 1158, 17827, 1125, 17498, 1507, 3513, 1110, 1913, 27537, 1188, 1816, 18318, 7745, 1212, 1158, 7732, 1125, 30096, 3171, 8533, 21544, 12273, 7655, 2487, 1198, 1519, 1456, 4436, 9037, 2086, 16202, 6533, 9037, 2086, 1173, 1569, 4735, 9037, 2086, 1198, 1298, 179, 3589, 1210, 2086, 24212, 1124, 5086, 1210, 2086, 1266, 1943, 2461, 8092, 1210, 2086, 2460, 1343, 1137, 8092, 1210, 2086, 28400, 1193, 8092, 1210, 2086, 1306, 1889, 1515, 9037, 186, 1167, 1325, 1569, 1174, 1889, 192, 9037, 186, 2004, 1913, 14853, 14006, 1256, 6459, 1170, 10750, 12376, 8155, 10750, 12376, 3031, 1574, 2462, 1517, 1170, 7511, 1125, 2962, 1207, 10934, 1167, 1227, 7252, 1188, 17498, 1507, 1145, 3296, 9997, 1856, 1170, 12311, 1110, 1913, 2678, 19546, 1188, 21396, 17911, 1965, 1207, 16633, 1508, 4202, 1754, 1150, 3077, 1256, 2368, 27383, 1188, 1158, 11557, 11990, 121, 1778, 21606, 1816, 6233, 24644, 1110, 9918, 1189, 30634, 1188, 4946, 1309, 1125, 5443, 10750, 1285, 1856, 3977, 1125, 2271, 1123, 1145, 1188, 1282, 1118, 7965, 1281, 3146, 2457, 4188, 3041, 1653, 488, 125, 123, 124, 123, 119, 1158, 21480, 1125, 17498, 1507, 3513, 1110, 3175, 1538, 18087, 1227, 10750, 8677, 1317, 10750, 1125, 2271, 1123, 1145, 121, 5294, 1159, 184, 2121, 1197, 8758, 2004, 1913, 20214, 1234, 1256, 1338, 185, 2559, 1158, 19110, 1207, 5221, 16287, 10184, 1207, 16963, 17104, 1125, 1158, 3837, 1256, 5362, 1197, 3358, 2635, 1167, 1197, 16978, 22068, 8509, 2035, 4134, 2093, 11673, 3111, 1257, 488, 129, 119, 132, 132, 125, 1175, 19169, 488, 125, 123, 124, 131, 1260, 1222, 16610, 1257, 488, 129, 488, 132, 132, 125, 122, 12624, 125, 13776, 1289, 5629, 23926, 1194, 5335, 29547, 3543, 26071, 2093, 12376, 7940, 14467, 106, 1173, 16318, 1167, 14331, 1125, 1158, 15184, 1539, 1475, 1306, 194, 6472, 14664, 196, 2194, 5834, 30546, 1165, 3241, 106, 1645, 174, 3556, 17827, 1125, 17498, 1507, 3513, 106, 12932, 3555, 5387, 1125, 1158, 3837, 1125, 17498, 1507, 3513, 1194, 29200, 10791, 10750, 12376, 1299, 30960, 180, 1215, 1158, 17827, 28869, 18880, 1125, 17498, 1507, 3513, 1215, 1158, 5646, 24605, 1780, 1366, 488, 124, 125, 30039, 20544, 11052, 1424, 17498, 1507, 3513, 7364, 5825, 15948, 2093, 143, 10986, 1125, 17498, 1507, 3513, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2359, 10750, 12376, 1175, 8329, 1517, 1257, 488, 590, 2040, 1113, 11439, 1109, 133, 25022, 280, 4317, 1787, 289, 116, 1299, 1189, 10750, 27271, 1125, 1158, 3837, 1125, 17498, 1507, 3513, 119, 1188, 1198, 5363, 194, 6871, 1768, 1299, 8446, 1317, 7511, 1125, 1158, 19110, 1906, 3365, 9195, 9918, 1189, 30634, 2008, 8091, 4092, 1188, 4946, 1309, 1125, 5443, 24808, 1188, 9579, 4355, 1856, 2271, 1123, 24685, 2004, 9918, 1318, 11557, 4199, 7165, 1768, 18001, 1188, 1158, 12999, 1170, 1408, 4170, 10750, 1167, 1158, 1408, 5715, 1994, 3533, 2159, 17578, 1366, 1125, 1198, 5363, 13199, 1469, 1318, 27929, 21052, 1188, 488, 124, 7275, 125, 20481, 12616, 3837, 1125, 17498, 1507, 3513, 1110, 14867, 1913, 26033, 1313, 1440, 5397, 1117, 1657, 8921, 1158, 3734, 3031, 1574, 2462, 1517, 1189, 1557, 1416, 3301, 1207, 7790, 11411, 1281, 1508, 3662, 1234, 5639, 2519, 5715, 1600, 2316, 17874, 2290, 1170, 1874, 1125, 1222, 1217, 1145, 1175, 721, 1576, 13802, 1158, 1106, 27401, 4094, 1787, 2064, 1816, 3734, 8135, 3146, 1303, 1186, 1318, 3837, 1223, 2145, 1450, 10803, 3734, 1110, 9918, 1189, 4764, 25933, 1317, 3285, 1125, 1158, 9644, 2651, 12273, 4964, 2290, 1158, 3185, 9040, 1125, 1293, 5243, 2460, 1109, 1326, 3266, 3762, 1170, 4154, 1227, 2678, 9601, 1215, 7451, 1518, 6883, 1195, 1414, 10175, 2333, 1167, 9029, 7497, 1671, 2215, 9249, 119, 1189, 2678, 18592, 189, 18661, 1110, 1913, 21072, 121, 1778, 11346, 1158, 17827, 1125, 17498, 1507, 3513, 1110, 1913, 27537, 1188, 1816, 18318, 7745, 1212, 1158, 7732, 1125, 30096, 3171, 8533, 21544, 12273, 7655, 2487, 1198, 1519, 1456, 4436, 9037, 2086, 16202, 6533, 9037, 2086, 1173, 1569, 4735, 9037, 2086, 1198, 1298, 179, 3589, 1210, 2086, 24212, 1124, 5086, 1210, 2086, 1266, 1943, 2461, 8092, 1210, 2086, 2460, 1343, 1137, 8092, 1210, 2086, 28400, 1193, 8092, 1210, 2086, 1306, 1889, 1515, 9037, 186, 1167, 1325, 1569, 1174, 1889, 192, 9037, 186, 2004, 1913, 14853, 14006, 1256, 6459, 1170, 10750, 12376, 8155, 10750, 12376, 3031, 1574, 2462, 1517, 1170, 7511, 1125, 2962, 1207, 10934, 1167, 1227, 7252, 1188, 17498, 1507, 1145, 3296, 9997, 1856, 1170, 12311, 1110, 1913, 2678, 19546, 1188, 21396, 17911, 1965, 1207, 16633, 1508, 4202, 1754, 1150, 3077, 1256, 2368, 27383, 1188, 1158, 11557, 11990, 121, 1778, 21606, 1816, 6233, 24644, 1110, 9918, 1189, 30634, 1188, 4946, 1309, 1125, 5443, 10750, 1285, 1856, 3977, 1125, 2271, 1123, 1145, 1188, 1282, 1118, 7965, 1281, 3146, 2457, 4188, 3041, 1653, 488, 125, 123, 124, 123, 119, 1158, 21480, 1125, 17498, 1507, 3513, 1110, 3175, 1538, 18087, 1227, 10750, 8677, 1317, 10750, 1125, 2271, 1123, 1145, 121, 5294, 1159, 184, 2121, 1197, 8758, 2004, 1913, 20214, 1234, 1256, 1338, 185, 2559, 1158, 19110, 1207, 5221, 16287, 10184, 1207, 16963, 17104, 1125, 1158, 3837, 1256, 5362, 1197, 3358, 2635, 1167, 1197, 16978, 22068, 8509, 2035, 4134, 2093, 11673, 3111, 1257, 488, 129, 119, 132, 132, 125, 1175, 19169, 488, 125, 123, 124, 131, 1260, 1222, 16610, 1257, 488, 129, 488, 132, 132, 125, 122, 12624, 125, 13776, 1289, 5629, 23926, 1194, 5335, 29547, 3543, 26071, 2093, 12376, 7940, 14467, 106, 1173, 16318, 1167, 14331, 1125, 1158, 15184, 1539, 1475, 1306, 194, 6472, 14664, 196, 2194, 5834, 30546, 1165, 3241, 106, 1645, 174, 3556, 17827, 1125, 17498, 1507, 3513, 106, 12932, 3555, 5387, 1125, 1158, 3837, 1125, 17498, 1507, 3513, 1194, 29200, 10791, 10750, 12376, 1299, 30960, 180, 1215, 1158, 17827, 28869, 18880, 1125, 17498, 1507, 3513, 1215, 1158, 5646, 24605, 1780, 1366, 488, 124, 125, 30039, 20544, 11052, 1424, 17498, 1507, 3513, 7364, 5825, 15948, 2093, 143, 10986, 1125, 17498, 1507, 3513, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 155, 3724, 5763, 2104, 9845, 28859, 488, 125, 132, 119, 488, 124, 131, 127, 128, 119, 3032, 2649, 9604, 1323, 7357, 488, 124, 130, 119, 488, 124, 132, 123, 131, 119, 2801, 116, 1463, 1110, 9197, 1300, 29303, 5388, 1226, 1765, 4533, 1238, 1522, 5336, 7261, 1166, 1608, 5787, 1171, 1765, 15725, 1926, 4403, 1161, 15788, 10808, 1203, 1752, 1121, 1183, 1146, 1675, 1481, 2071, 5388, 1296, 1135, 5763, 2104, 4403, 9663, 180, 11114, 2056, 2589, 1147, 3032, 2649, 9604, 1147, 1135, 12349, 20089, 1109, 6054, 1147, 6324, 488, 124, 131, 127, 128, 119, 5612, 5763, 2104, 1463, 1135, 1594, 1161, 16855, 25455, 3333, 22421, 1659, 1110, 30620, 119, 1171, 8220, 27427, 14232, 21660, 1517, 121, 2133, 21605, 26948, 1171, 7905, 1110, 8923, 4682, 1147, 488, 124, 131, 129, 128, 119, 1151, 2448, 1147, 488, 124, 131, 129, 129, 119, 1171, 2491, 1151, 1151, 15320, 196, 20036, 1355, 1135, 11704, 28755, 1161, 22683, 1147, 2801, 1147, 488, 124, 131, 130, 124, 6649, 488, 124, 131, 130, 126, 119, 1386, 1683, 4737, 1765, 1181, 11323, 1238, 1400, 1276, 1164, 2011, 1161, 1135, 25372, 176, 1171, 7592, 1821, 4476, 3602, 2820, 1136, 27721, 13916, 2133, 2491, 7905, 1110, 8366, 3339, 1147, 488, 124, 131, 130, 127, 119, 2979, 3026, 22951, 1296, 1151, 30396, 1226, 1135, 14545, 1161, 1173, 3685, 1884, 14200, 2268, 1149, 1940, 1147, 1135, 12621, 116, 1147, 488, 124, 131, 130, 128, 1171, 14702, 1110, 1300, 29303, 1355, 1135, 22355, 2314, 1147, 2801, 21185, 1756, 11178, 1149, 1940, 1147, 1135, 12621, 116, 1147, 488, 124, 131, 130, 130, 121, 1459, 488, 124, 131, 132, 126, 119, 1386, 7905, 1110, 6644, 1161, 1135, 15567, 1161, 22683, 1171, 1110, 21495, 1161, 15725, 1926, 7733, 1146, 1135, 3602, 1976, 6649, 488, 124, 131, 132, 130, 119, 3545, 1110, 24101, 1147, 6721, 1386, 1463, 1135, 1940, 1300, 29303, 1147, 1135, 3018, 1163, 2179, 1110, 6161, 3691, 11737, 6649, 488, 124, 131, 132, 131, 119, 1386, 1463, 22951, 10283, 1161, 1135, 13309, 1161, 1173, 3685, 1884, 1388, 3780, 8576, 5064, 1147, 488, 124, 132, 123, 131, 1355, 1135, 1266, 6991, 1107, 15729, 2468, 1386, 2055, 8627, 1296, 1110, 1300, 29303, 2910, 488, 124, 132, 123, 127, 1171, 488, 124, 132, 123, 131, 7552, 2405, 2523, 1428, 488, 124, 131, 130, 124, 119, 1386, 6971, 1135, 10435, 3083, 1132, 1446, 1135, 4626, 7002, 155, 1355, 1135, 3444, 10505, 1147, 22683, 12621, 1355, 1135, 1306, 16164, 2314, 1161, 6721, 1171, 9917, 1940, 29053, 1147, 5057, 7734, 17718, 3813, 1302, 1161, 1135, 12376, 15350, 1161, 1135, 1306, 16164, 2314, 1161, 2801, 1147, 488, 124, 131, 130, 130, 1388, 3466, 7286, 488, 124, 128, 119, 488, 124, 132, 123, 123, 119, 1386, 1463, 15053, 1589, 1296, 1151, 18796, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 8732, 1565, 1430, 8472, 6434, 1386, 8226, 1329, 27642, 1163, 2717, 15879, 29205, 3813, 1147, 1135, 16710, 25781, 1156, 1146, 1222, 10989, 1161, 14916, 10850, 2910, 488, 124, 131, 130, 127, 1171, 488, 124, 131, 131, 132, 119, 1135, 2155, 6875, 1870, 1161, 1758, 1386, 1463, 1135, 2274, 4767, 119, 1324, 25017, 11265, 197, 3174, 1239, 1135, 29617, 29759, 1146, 1173, 3685, 1884, 8226, 1147, 488, 124, 132, 123, 127, 6034, 6911, 14520, 1489, 12898, 1345, 10613, 12323, 2589, 1147, 6324, 488, 124, 131, 127, 128, 2056, 2589, 1147, 3032, 2649, 9604, 2105, 30206, 1300, 29303, 2105, 30206, 6517, 18351, 1161, 1135, 488, 125, 123, 1276, 14851, 3052, 9253, 1107, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 10901, 1427, 1147, 488, 124, 132, 123, 123, 1763, 2295, 1147, 7357, 488, 124, 132, 123, 131, 1763, 2295, 1147, 1135, 488, 124, 128, 1276, 28077, 1161, 2801, 1763, 2295, 1355, 1135, 7227, 1161, 488, 129, 126, 32001, 1424, 32000, 20036, 1566, 3724, 5763, 2104, 1175, 125, 132, 2749, 488, 124, 131, 127, 128, 119, 3032, 2649, 9604, 1323, 488, 124, 130, 2822, 488, 124, 132, 123, 131, 119, 2801, 116, 1299, 1189, 16745, 1354, 2720, 18668, 1256, 1909, 12339, 1300, 1207, 1166, 1608, 1429, 1522, 26924, 2137, 1167, 1561, 4403, 1858, 1356, 4371, 1125, 13680, 20381, 15788, 10808, 1203, 1752, 1121, 1183, 3725, 17874, 2290, 1170, 1874, 1125, 4403, 1125, 5763, 2104, 14231, 1424, 153, 244, 1188, 3032, 2649, 9604, 1313, 1170, 12349, 20089, 1109, 1186, 2749, 488, 124, 131, 127, 128, 119, 5612, 5763, 2104, 1299, 1170, 8658, 1125, 16855, 25455, 3333, 22421, 1659, 1382, 11682, 1167, 1125, 8220, 27427, 14232, 21660, 1517, 121, 1768, 22589, 1214, 1158, 16619, 1167, 7354, 16718, 1197, 1166, 30239, 1541, 1186, 488, 124, 131, 129, 128, 119, 14809, 1186, 488, 124, 131, 129, 129, 2648, 20036, 1304, 1119, 15320, 1214, 1188, 1158, 31215, 1125, 16619, 1125, 2801, 1186, 488, 124, 131, 130, 124, 8370, 488, 124, 131, 130, 126, 119, 1527, 21635, 1561, 1181, 243, 5650, 1867, 1282, 8339, 2845, 1227, 3998, 1118, 1167, 1125, 10399, 3383, 1160, 25258, 4010, 1458, 10382, 3738, 1571, 27721, 1842, 1227, 1131, 2035, 9357, 1768, 7354, 6349, 8366, 1168, 1836, 1186, 488, 124, 131, 130, 127, 119, 2567, 9033, 7874, 178, 244, 1256, 29204, 13976, 1125, 1158, 16745, 1214, 4419, 23726, 3151, 1317, 10058, 116, 1186, 488, 124, 131, 130, 128, 1167, 7354, 16745, 1354, 1197, 1166, 30239, 1541, 1125, 2801, 4419, 23726, 4410, 2072, 3151, 1317, 10058, 116, 1186, 488, 124, 131, 130, 130, 121, 1653, 488, 124, 131, 132, 126, 119, 1527, 7354, 6711, 1125, 31805, 1125, 16619, 1167, 13787, 1125, 26102, 16745, 27562, 9911, 10549, 8370, 488, 124, 131, 132, 130, 119, 2391, 2519, 10317, 1188, 6721, 1527, 1299, 1170, 3151, 16745, 1354, 1317, 2854, 10250, 1108, 13503, 1594, 10179, 2335, 25706, 2415, 1474, 119, 3042, 1186, 18290, 8370, 488, 124, 131, 132, 131, 119, 1527, 1299, 12688, 4637, 1125, 1158, 7676, 1125, 1539, 13264, 1214, 12258, 1805, 243, 1596, 172, 1186, 488, 124, 132, 123, 131, 1188, 4428, 14249, 1266, 6991, 1107, 2585, 1527, 3618, 5285, 244, 1186, 4083, 1309, 16745, 1354, 1835, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 123, 131, 22341, 1416, 6897, 5702, 18604, 488, 124, 131, 130, 124, 119, 1527, 14882, 1158, 24722, 16834, 1125, 1282, 2897, 7002, 155, 1317, 10058, 1197, 3248, 1125, 17289, 1847, 1128, 1186, 16619, 1175, 125, 129, 116, 1197, 1306, 30239, 1541, 1125, 6721, 1167, 18900, 1170, 3151, 3248, 1125, 3171, 10058, 2487, 3977, 1227, 15350, 12376, 1197, 1306, 30239, 1541, 1125, 2801, 1186, 488, 124, 131, 130, 130, 8155, 488, 124, 128, 2578, 488, 124, 132, 123, 123, 119, 1527, 1299, 1805, 10483, 3726, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 8732, 1565, 1430, 1424, 141, 1354, 3365, 9195, 9053, 1362, 20888, 1188, 1158, 9550, 1125, 5087, 3760, 7178, 6087, 1835, 2905, 1313, 1170, 29749, 2170, 6770, 3766, 25227, 1197, 11733, 12715, 1104, 1835, 488, 124, 131, 130, 127, 1167, 488, 124, 131, 131, 132, 119, 1170, 4374, 17299, 29967, 2487, 1527, 1299, 1170, 7774, 1317, 11682, 1469, 25017, 11265, 197, 1130, 1299, 1158, 1539, 13264, 1214, 16790, 3766, 25227, 18078, 1186, 488, 124, 132, 123, 127, 11488, 1167, 16828, 5825, 2093, 10613, 26622, 1345, 4713, 3400, 1186, 2749, 488, 124, 131, 127, 128, 8156, 1188, 3032, 2649, 9604, 4196, 13264, 1354, 2720, 1720, 1740, 1168, 1109, 2720, 1227, 23841, 6298, 3052, 9253, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 132, 123, 123, 9317, 1186, 2822, 488, 124, 132, 123, 131, 9317, 1313, 1170, 488, 124, 128, 176, 28077, 1125, 2801, 9317, 1188, 488, 129, 126, 2165, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1566, 3724, 5763, 2104, 1175, 125, 132, 2749, 488, 124, 131, 127, 128, 119, 3032, 2649, 9604, 1323, 488, 124, 130, 2822, 488, 124, 132, 123, 131, 119, 2801, 116, 1299, 1189, 16745, 1354, 2720, 18668, 1256, 1909, 12339, 1300, 1207, 1166, 1608, 1429, 1522, 26924, 2137, 1167, 1561, 4403, 1858, 1356, 4371, 1125, 13680, 20381, 15788, 10808, 1203, 1752, 1121, 1183, 3725, 17874, 2290, 1170, 1874, 1125, 4403, 1125, 5763, 2104, 14231, 1424, 153, 244, 1188, 3032, 2649, 9604, 1313, 1170, 12349, 20089, 1109, 1186, 2749, 488, 124, 131, 127, 128, 119, 5612, 5763, 2104, 1299, 1170, 8658, 1125, 16855, 25455, 3333, 22421, 1659, 1382, 11682, 1167, 1125, 8220, 27427, 14232, 21660, 1517, 121, 1768, 22589, 1214, 1158, 16619, 1167, 7354, 16718, 1197, 1166, 30239, 1541, 1186, 488, 124, 131, 129, 128, 119, 14809, 1186, 488, 124, 131, 129, 129, 2648, 20036, 1304, 1119, 15320, 1214, 1188, 1158, 31215, 1125, 16619, 1125, 2801, 1186, 488, 124, 131, 130, 124, 8370, 488, 124, 131, 130, 126, 119, 1527, 21635, 1561, 1181, 243, 5650, 1867, 1282, 8339, 2845, 1227, 3998, 1118, 1167, 1125, 10399, 3383, 1160, 25258, 4010, 1458, 10382, 3738, 1571, 27721, 1842, 1227, 1131, 2035, 9357, 1768, 7354, 6349, 8366, 1168, 1836, 1186, 488, 124, 131, 130, 127, 119, 2567, 9033, 7874, 178, 244, 1256, 29204, 13976, 1125, 1158, 16745, 1214, 4419, 23726, 3151, 1317, 10058, 116, 1186, 488, 124, 131, 130, 128, 1167, 7354, 16745, 1354, 1197, 1166, 30239, 1541, 1125, 2801, 4419, 23726, 4410, 2072, 3151, 1317, 10058, 116, 1186, 488, 124, 131, 130, 130, 121, 1653, 488, 124, 131, 132, 126, 119, 1527, 7354, 6711, 1125, 31805, 1125, 16619, 1167, 13787, 1125, 26102, 16745, 27562, 9911, 10549, 8370, 488, 124, 131, 132, 130, 119, 2391, 2519, 10317, 1188, 6721, 1527, 1299, 1170, 3151, 16745, 1354, 1317, 2854, 10250, 1108, 13503, 1594, 10179, 2335, 25706, 2415, 1474, 119, 3042, 1186, 18290, 8370, 488, 124, 131, 132, 131, 119, 1527, 1299, 12688, 4637, 1125, 1158, 7676, 1125, 1539, 13264, 1214, 12258, 1805, 243, 1596, 172, 1186, 488, 124, 132, 123, 131, 1188, 4428, 14249, 1266, 6991, 1107, 2585, 1527, 3618, 5285, 244, 1186, 4083, 1309, 16745, 1354, 1835, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 123, 131, 22341, 1416, 6897, 5702, 18604, 488, 124, 131, 130, 124, 119, 1527, 14882, 1158, 24722, 16834, 1125, 1282, 2897, 7002, 155, 1317, 10058, 1197, 3248, 1125, 17289, 1847, 1128, 1186, 16619, 1175, 125, 129, 116, 1197, 1306, 30239, 1541, 1125, 6721, 1167, 18900, 1170, 3151, 3248, 1125, 3171, 10058, 2487, 3977, 1227, 15350, 12376, 1197, 1306, 30239, 1541, 1125, 2801, 1186, 488, 124, 131, 130, 130, 8155, 488, 124, 128, 2578, 488, 124, 132, 123, 123, 119, 1527, 1299, 1805, 10483, 3726, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 8732, 1565, 1430, 1424, 141, 1354, 3365, 9195, 9053, 1362, 20888, 1188, 1158, 9550, 1125, 5087, 3760, 7178, 6087, 1835, 2905, 1313, 1170, 29749, 2170, 6770, 3766, 25227, 1197, 11733, 12715, 1104, 1835, 488, 124, 131, 130, 127, 1167, 488, 124, 131, 131, 132, 119, 1170, 4374, 17299, 29967, 2487, 1527, 1299, 1170, 7774, 1317, 11682, 1469, 25017, 11265, 197, 1130, 1299, 1158, 1539, 13264, 1214, 16790, 3766, 25227, 18078, 1186, 488, 124, 132, 123, 127, 11488, 1167, 16828, 5825, 2093, 10613, 26622, 1345, 4713, 3400, 1186, 2749, 488, 124, 131, 127, 128, 8156, 1188, 3032, 2649, 9604, 4196, 13264, 1354, 2720, 1720, 1740, 1168, 1109, 2720, 1227, 23841, 6298, 3052, 9253, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 132, 123, 123, 9317, 1186, 2822, 488, 124, 132, 123, 131, 9317, 1313, 1170, 488, 124, 128, 176, 28077, 1125, 2801, 9317, 1188, 488, 129, 126, 2165, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 1184, 2622, 14283, 26294, 1161, 21386, 1132, 1204, 11416, 11965, 1239, 1110, 18253, 8452, 1238, 1204, 11416, 11965, 17671, 1238, 1135, 11090, 1161, 1204, 11416, 1122, 10355, 4094, 10273, 1147, 29192, 1306, 1785, 1804, 2433, 4444, 2621, 1388, 26580, 3033, 17834, 1239, 1110, 21683, 1184, 2622, 14283, 26294, 17823, 21386, 1132, 15243, 28708, 2564, 4633, 1142, 1204, 11416, 11965, 119, 1110, 4444, 185, 1943, 23334, 1171, 9532, 29330, 15243, 1204, 11416, 11965, 1463, 1135, 21749, 4793, 9037, 6625, 1161, 1135, 4444, 185, 1943, 8574, 1355, 1135, 2283, 1161, 5055, 6832, 19523, 3545, 1135, 4444, 185, 1943, 17684, 1325, 5567, 1171, 2903, 3545, 5055, 6832, 4988, 14023, 2506, 7044, 1149, 1226, 1135, 26294, 106, 4848, 1204, 11416, 11965, 1361, 6689, 2121, 1110, 5091, 1463, 11219, 1147, 488, 124, 132, 126, 130, 1163, 13290, 1135, 2543, 2365, 1161, 1151, 1184, 2622, 14283, 26294, 1323, 1135, 1940, 1147, 4444, 2621, 1323, 1147, 1765, 6148, 7070, 1410, 3580, 1463, 3912, 1238, 5369, 5404, 1163, 5055, 6832, 21979, 6226, 1765, 6775, 1147, 488, 124, 132, 128, 124, 119, 1135, 1184, 2622, 14283, 26294, 3580, 1463, 3360, 4547, 1355, 1135, 14990, 1161, 1135, 4017, 1161, 1306, 1785, 1804, 180, 23377, 8006, 121, 1410, 5091, 7044, 1149, 26283, 1163, 5461, 20587, 5684, 1135, 1721, 1171, 2543, 1363, 1135, 4546, 9598, 9244, 488, 124, 125, 123, 119, 123, 123, 123, 2337, 6714, 1589, 1163, 1135, 23609, 27830, 488, 124, 119, 124, 126, 127, 119, 129, 128, 124, 24247, 1147, 488, 124, 132, 128, 125, 7552, 12621, 1463, 7368, 119, 1171, 1135, 15418, 1161, 1135, 26294, 1463, 22105, 13201, 1163, 1192, 24364, 1198, 27311, 1262, 2765, 1693, 7428, 1449, 2133, 2461, 7901, 1306, 239, 1289, 239, 16461, 1810, 1518, 1262, 1198, 1562, 1659, 1171, 15783, 4234, 3066, 1436, 2433, 2000, 1463, 11626, 1226, 1135, 26294, 1361, 6223, 14023, 1136, 1732, 19663, 1135, 1300, 10029, 15868, 2025, 2629, 1163, 12101, 1204, 11416, 11965, 1361, 10486, 2844, 119, 5620, 179, 24326, 1662, 3318, 4834, 1171, 1163, 3630, 19574, 1147, 2017, 15635, 1147, 4444, 12906, 3813, 27899, 182, 1140, 2433, 1643, 179, 17618, 1171, 7311, 16926, 6043, 26294, 3616, 21386, 1132, 1239, 2302, 20195, 1238, 22778, 3021, 119, 1296, 1386, 1463, 20259, 1355, 1135, 25859, 28182, 1165, 10646, 1857, 5761, 1147, 3281, 27898, 8519, 3296, 2133, 1959, 4021, 1156, 26296, 1857, 13880, 2536, 1296, 1135, 488, 124, 1243, 14289, 1165, 10646, 1857, 13897, 1171, 1135, 488, 129, 1276, 14289, 1165, 10646, 1857, 25934, 6043, 26294, 1463, 2543, 7770, 1238, 7871, 488, 127, 119, 488, 124, 132, 129, 123, 121, 1988, 17442, 488, 128, 2367, 1201, 1111, 14111, 1171, 488, 129, 2367, 1201, 1324, 2019, 19742, 1182, 1132, 6043, 12735, 1160, 1161, 1135, 1518, 5787, 1724, 11679, 1161, 2236, 7199, 1626, 8080, 6289, 1135, 26294, 26196, 1156, 7251, 2026, 3545, 2019, 4971, 1147, 1135, 488, 124, 132, 132, 123, 190, 15826, 12389, 12323, 4807, 11114, 1194, 1891, 9520, 1194, 21320, 1959, 1194, 26722, 14520, 1194, 12225, 1589, 14520, 1489, 1267, 1161, 4546, 1813, 1171, 2226, 5700, 19574, 1147, 1306, 1785, 1804, 180, 1194, 7244, 1161, 22378, 2586, 2622, 14283, 26294, 1147, 4444, 2621, 106, 125, 123, 1276, 25128, 4532, 12770, 11316, 106, 2437, 14745, 12770, 11316, 1147, 4444, 2621, 2056, 2548, 2174, 12770, 11316, 11301, 2070, 1132, 26294, 1147, 4444, 2621, 121, 32001, 1424, 32000, 20036, 2895, 26294, 1253, 2622, 1112, 1227, 1918, 7197, 1132, 1204, 11416, 11965, 1299, 1189, 18253, 8446, 1300, 1170, 10804, 1204, 11416, 1122, 10355, 1334, 182, 2504, 1186, 6676, 1278, 1125, 1158, 5820, 1204, 11416, 1122, 10355, 29325, 1313, 1170, 29703, 1415, 13076, 1785, 1804, 180, 1186, 4444, 15613, 15826, 1538, 1356, 3608, 6538, 10515, 2519, 26294, 1253, 2622, 1112, 1186, 15515, 28238, 1357, 11404, 1170, 1918, 7197, 1132, 15243, 28708, 2564, 4633, 1142, 1204, 11416, 11965, 119, 23276, 1622, 18131, 1167, 5598, 23982, 121, 15243, 1204, 11416, 11965, 3031, 1170, 29369, 1186, 6513, 1197, 8574, 1622, 2621, 11281, 1188, 1158, 1622, 1125, 1158, 16880, 12507, 27213, 7542, 1158, 6545, 10015, 1622, 2621, 4964, 1167, 1188, 3631, 3672, 1158, 22925, 12507, 10999, 10803, 14291, 1256, 1158, 26294, 16517, 16032, 1125, 1204, 11416, 11965, 119, 1189, 8258, 1299, 2180, 2357, 1186, 488, 124, 132, 126, 130, 119, 3143, 1125, 25711, 5753, 11217, 2519, 26294, 1253, 2622, 1112, 1323, 1158, 3453, 1186, 4444, 15613, 1323, 1186, 1594, 1166, 1767, 9357, 1548, 2929, 1299, 8863, 3925, 1186, 5169, 1125, 1158, 22925, 12507, 5549, 5907, 6982, 1561, 27688, 1186, 488, 124, 132, 128, 124, 119, 1170, 2929, 1125, 26294, 1253, 2622, 1112, 1299, 1826, 1452, 244, 1188, 5444, 13616, 1125, 14141, 1197, 13012, 1125, 15714, 13076, 1785, 1804, 3266, 1643, 14291, 1110, 1256, 1663, 1125, 17269, 3389, 1170, 1721, 1167, 8325, 6496, 1158, 4546, 9598, 6487, 1125, 488, 124, 125, 123, 488, 123, 123, 123, 3403, 4256, 1189, 6714, 1317, 2929, 7037, 1125, 13056, 7763, 1186, 488, 124, 132, 128, 125, 119, 488, 124, 488, 124, 126, 127, 488, 129, 128, 124, 24247, 1388, 2029, 10058, 1299, 16142, 1167, 1317, 3905, 3683, 1158, 5735, 1125, 1158, 26294, 1299, 1776, 7329, 1188, 1192, 24364, 1198, 27311, 1262, 2765, 7667, 244, 1125, 2133, 2461, 7901, 1306, 239, 1289, 239, 16461, 1810, 1518, 1262, 1198, 13302, 1167, 15783, 4234, 3066, 1436, 2433, 1357, 2435, 1299, 6606, 1125, 18971, 1125, 1158, 26294, 1388, 2951, 11346, 3871, 174, 19319, 2856, 2445, 1304, 21631, 1170, 3601, 1125, 10544, 1125, 1204, 11416, 11965, 119, 1170, 1618, 1445, 1125, 5620, 179, 24326, 29223, 1723, 2072, 1158, 5735, 1125, 19574, 1313, 5610, 11742, 1125, 4444, 15613, 119, 1188, 27899, 182, 1140, 2433, 1643, 179, 1117, 1167, 7311, 16926, 10803, 26294, 2359, 1918, 7197, 1132, 1299, 31481, 1188, 14018, 119, 1734, 1527, 1110, 1913, 19778, 1188, 19543, 1125, 26296, 4054, 13742, 1188, 30707, 1630, 1201, 11270, 3296, 1768, 1110, 2445, 4021, 244, 1197, 20904, 1125, 26296, 4054, 2487, 1158, 488, 124, 1450, 10041, 1125, 26296, 4054, 15393, 1167, 1170, 488, 129, 2247, 5773, 1125, 26296, 4054, 15393, 10803, 26294, 1299, 1253, 1738, 1303, 1170, 1939, 3450, 4946, 488, 128, 13061, 1167, 488, 129, 13061, 1469, 1594, 6907, 1740, 1182, 1132, 18726, 31328, 1162, 1227, 14331, 23290, 25569, 1518, 5787, 16018, 1188, 11793, 1125, 1158, 4546, 3955, 1110, 1844, 11582, 1125, 11312, 1285, 7542, 1561, 26406, 3672, 1207, 4092, 488, 124, 132, 132, 123, 15826, 31942, 17994, 15948, 13459, 2072, 7364, 5825, 7364, 22260, 27012, 1197, 4546, 1813, 1167, 19574, 7520, 6533, 1541, 13076, 1785, 1804, 180, 1194, 7244, 1125, 1158, 14976, 1194, 30868, 1277, 1253, 2622, 1112, 1186, 4444, 15613, 1628, 2652, 11316, 1227, 23841, 6298, 1628, 2652, 11316, 1186, 7331, 4184, 1186, 4444, 15613, 1628, 2652, 11316, 1186, 21683, 1628, 4121, 1277, 18253, 1366, 1186, 4444, 15613, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 26294, 1253, 2622, 1112, 1227, 1918, 7197, 1132, 1204, 11416, 11965, 1299, 1189, 18253, 8446, 1300, 1170, 10804, 1204, 11416, 1122, 10355, 1334, 182, 2504, 1186, 6676, 1278, 1125, 1158, 5820, 1204, 11416, 1122, 10355, 29325, 1313, 1170, 29703, 1415, 13076, 1785, 1804, 180, 1186, 4444, 15613, 15826, 1538, 1356, 3608, 6538, 10515, 2519, 26294, 1253, 2622, 1112, 1186, 15515, 28238, 1357, 11404, 1170, 1918, 7197, 1132, 15243, 28708, 2564, 4633, 1142, 1204, 11416, 11965, 119, 23276, 1622, 18131, 1167, 5598, 23982, 121, 15243, 1204, 11416, 11965, 3031, 1170, 29369, 1186, 6513, 1197, 8574, 1622, 2621, 11281, 1188, 1158, 1622, 1125, 1158, 16880, 12507, 27213, 7542, 1158, 6545, 10015, 1622, 2621, 4964, 1167, 1188, 3631, 3672, 1158, 22925, 12507, 10999, 10803, 14291, 1256, 1158, 26294, 16517, 16032, 1125, 1204, 11416, 11965, 119, 1189, 8258, 1299, 2180, 2357, 1186, 488, 124, 132, 126, 130, 119, 3143, 1125, 25711, 5753, 11217, 2519, 26294, 1253, 2622, 1112, 1323, 1158, 3453, 1186, 4444, 15613, 1323, 1186, 1594, 1166, 1767, 9357, 1548, 2929, 1299, 8863, 3925, 1186, 5169, 1125, 1158, 22925, 12507, 5549, 5907, 6982, 1561, 27688, 1186, 488, 124, 132, 128, 124, 119, 1170, 2929, 1125, 26294, 1253, 2622, 1112, 1299, 1826, 1452, 244, 1188, 5444, 13616, 1125, 14141, 1197, 13012, 1125, 15714, 13076, 1785, 1804, 3266, 1643, 14291, 1110, 1256, 1663, 1125, 17269, 3389, 1170, 1721, 1167, 8325, 6496, 1158, 4546, 9598, 6487, 1125, 488, 124, 125, 123, 488, 123, 123, 123, 3403, 4256, 1189, 6714, 1317, 2929, 7037, 1125, 13056, 7763, 1186, 488, 124, 132, 128, 125, 119, 488, 124, 488, 124, 126, 127, 488, 129, 128, 124, 24247, 1388, 2029, 10058, 1299, 16142, 1167, 1317, 3905, 3683, 1158, 5735, 1125, 1158, 26294, 1299, 1776, 7329, 1188, 1192, 24364, 1198, 27311, 1262, 2765, 7667, 244, 1125, 2133, 2461, 7901, 1306, 239, 1289, 239, 16461, 1810, 1518, 1262, 1198, 13302, 1167, 15783, 4234, 3066, 1436, 2433, 1357, 2435, 1299, 6606, 1125, 18971, 1125, 1158, 26294, 1388, 2951, 11346, 3871, 174, 19319, 2856, 2445, 1304, 21631, 1170, 3601, 1125, 10544, 1125, 1204, 11416, 11965, 119, 1170, 1618, 1445, 1125, 5620, 179, 24326, 29223, 1723, 2072, 1158, 5735, 1125, 19574, 1313, 5610, 11742, 1125, 4444, 15613, 119, 1188, 27899, 182, 1140, 2433, 1643, 179, 1117, 1167, 7311, 16926, 10803, 26294, 2359, 1918, 7197, 1132, 1299, 31481, 1188, 14018, 119, 1734, 1527, 1110, 1913, 19778, 1188, 19543, 1125, 26296, 4054, 13742, 1188, 30707, 1630, 1201, 11270, 3296, 1768, 1110, 2445, 4021, 244, 1197, 20904, 1125, 26296, 4054, 2487, 1158, 488, 124, 1450, 10041, 1125, 26296, 4054, 15393, 1167, 1170, 488, 129, 2247, 5773, 1125, 26296, 4054, 15393, 10803, 26294, 1299, 1253, 1738, 1303, 1170, 1939, 3450, 4946, 488, 128, 13061, 1167, 488, 129, 13061, 1469, 1594, 6907, 1740, 1182, 1132, 18726, 31328, 1162, 1227, 14331, 23290, 25569, 1518, 5787, 16018, 1188, 11793, 1125, 1158, 4546, 3955, 1110, 1844, 11582, 1125, 11312, 1285, 7542, 1561, 26406, 3672, 1207, 4092, 488, 124, 132, 132, 123, 15826, 31942, 17994, 15948, 13459, 2072, 7364, 5825, 7364, 22260, 27012, 1197, 4546, 1813, 1167, 19574, 7520, 6533, 1541, 13076, 1785, 1804, 180, 1194, 7244, 1125, 1158, 14976, 1194, 30868, 1277, 1253, 2622, 1112, 1186, 4444, 15613, 1628, 2652, 11316, 1227, 23841, 6298, 1628, 2652, 11316, 1186, 7331, 4184, 1186, 4444, 15613, 1628, 2652, 11316, 1186, 21683, 1628, 4121, 1277, 18253, 1366, 1186, 4444, 15613, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 22745, 1927, 11539, 5098, 1119, 1239, 1110, 5080, 1446, 1135, 3018, 1161, 8590, 26524, 121, 2133, 1239, 1110, 6459, 9324, 7685, 9899, 11759, 1120, 2579, 2220, 1239, 488, 123, 123, 129, 116, 2000, 10371, 1110, 10157, 1267, 9663, 180, 11114, 17322, 6129, 5055, 6832, 19368, 1765, 23309, 1165, 3377, 24711, 1446, 29161, 5520, 1131, 2128, 4159, 1163, 9089, 17843, 1147, 11023, 13955, 11431, 6226, 1135, 1144, 5567, 1135, 9324, 19342, 2737, 1156, 2182, 2060, 1163, 1135, 29234, 3075, 2563, 4957, 1324, 2717, 21574, 29347, 1132, 1165, 3377, 24711, 2025, 5253, 1163, 1135, 1185, 1203, 4621, 2670, 1753, 1132, 1109, 1361, 8238, 121, 12895, 1161, 2182, 12743, 4945, 18965, 10205, 1518, 9345, 2955, 25157, 19147, 2182, 1675, 22559, 2305, 1192, 1927, 1361, 10886, 9448, 10486, 1163, 13812, 1663, 1765, 11432, 14859, 2067, 1171, 2491, 15520, 1335, 1146, 10406, 1375, 3094, 1149, 1163, 5368, 1147, 25429, 1433, 1171, 23720, 1105, 7070, 19045, 1386, 1463, 1329, 1479, 1119, 1156, 2141, 8590, 26524, 121, 1204, 148, 129, 19737, 1302, 1355, 1413, 30251, 1192, 1927, 2876, 1375, 9451, 9816, 1758, 1239, 6167, 3364, 121, 25961, 1135, 9324, 7685, 2424, 19544, 1156, 2667, 1163, 5180, 1110, 488, 123, 123, 1711, 4364, 14113, 1765, 3627, 2064, 1386, 9828, 11753, 2536, 1296, 9180, 119, 2737, 6319, 29500, 3254, 3683, 31765, 2071, 1171, 1852, 10558, 7910, 1147, 6134, 14230, 7231, 2133, 8492, 1163, 2678, 1765, 5478, 1315, 6649, 488, 124, 132, 131, 129, 119, 8590, 26524, 1171, 1386, 2025, 1238, 1110, 5601, 1163, 13473, 1110, 29234, 16838, 25759, 17720, 121, 1988, 1463, 3545, 1413, 5601, 1302, 1386, 1458, 187, 2664, 1324, 2908, 28538, 26455, 11295, 7020, 1255, 1651, 1163, 22740, 1765, 6775, 121, 14113, 1135, 5601, 119, 1135, 9783, 2025, 12035, 1156, 1449, 1135, 29234, 1297, 11539, 5098, 1119, 1463, 28499, 1449, 2908, 28538, 7020, 1255, 23640, 2000, 9448, 26524, 5052, 15284, 1163, 1300, 189, 1274, 1657, 6226, 3108, 5052, 2423, 1285, 1386, 14859, 11539, 5098, 1119, 1171, 26524, 13085, 1163, 20808, 1446, 1135, 17720, 1449, 23966, 1341, 1163, 2540, 1451, 121, 2133, 8395, 1135, 4940, 1163, 1765, 25111, 1285, 2000, 19737, 11539, 5098, 1119, 1463, 9343, 7885, 1246, 1302, 1135, 9324, 19342, 19737, 1386, 1463, 9343, 119, 1386, 20883, 1110, 16747, 9921, 2670, 1135, 17260, 8150, 4563, 1153, 1171, 19544, 1156, 7020, 1255, 1651, 1171, 1110, 21877, 3100, 2271, 1108, 1575, 2502, 1128, 2256, 121, 7013, 8603, 1463, 1163, 4447, 1110, 29234, 23997, 14450, 1108, 5417, 20851, 144, 11136, 1388, 3780, 16144, 3545, 1135, 17598, 1161, 1135, 24886, 7243, 1147, 17255, 172, 2470, 1110, 2102, 8394, 4064, 8590, 26524, 121, 2133, 12963, 1147, 1135, 488, 124, 132, 132, 128, 3418, 20851, 144, 11136, 9273, 1449, 2499, 1119, 3032, 3100, 1296, 2632, 1296, 1147, 1135, 10704, 3520, 1161, 1135, 2994, 3418, 121, 2133, 1239, 1959, 6332, 1147, 1135, 3654, 20851, 144, 11136, 488, 123, 123, 130, 1238, 1135, 26522, 488, 129, 127, 1296, 1151, 28029, 1329, 1296, 1110, 2489, 1364, 5080, 1147, 3473, 14651, 4334, 121, 1192, 1927, 11539, 5098, 1119, 1239, 1959, 1110, 2489, 1364, 5080, 1147, 1135, 3473, 14651, 4334, 1161, 1135, 3654, 8590, 26524, 488, 123, 123, 130, 133, 1410, 5055, 3122, 6457, 1653, 2582, 1238, 1135, 26522, 488, 129, 127, 1388, 144, 25774, 1429, 1161, 8590, 26524, 1424, 145, 4259, 1132, 14289, 5080, 1424, 145, 4259, 1132, 1329, 1479, 1119, 1424, 145, 4259, 1132, 1127, 11623, 1213, 32001, 1424, 32000, 20036, 1530, 1927, 11539, 5098, 1119, 1299, 1189, 14514, 23924, 1317, 2854, 1125, 8590, 26524, 121, 1768, 1299, 1189, 7271, 9899, 7685, 14898, 1175, 2443, 2406, 1766, 1890, 1299, 488, 123, 123, 129, 116, 12749, 10157, 2038, 14231, 1566, 2388, 1158, 22925, 12507, 27213, 1909, 23309, 1197, 17488, 172, 1485, 1125, 29161, 5520, 1131, 1670, 1129, 23430, 2079, 1158, 11961, 3551, 13744, 1256, 3924, 17843, 121, 6982, 1158, 26634, 23147, 30831, 1207, 2350, 1154, 2442, 1309, 3713, 5610, 1571, 20088, 24696, 13760, 20702, 17488, 172, 1485, 1508, 8064, 1234, 1571, 1185, 2610, 4621, 2290, 1170, 27555, 1125, 1753, 1132, 4994, 29845, 13432, 5924, 1520, 18741, 6952, 1440, 1309, 18965, 10205, 10335, 1486, 25783, 25157, 1964, 1834, 6993, 1318, 1675, 29277, 1117, 2596, 1643, 10023, 5519, 1927, 2435, 5714, 10544, 121, 6218, 9159, 1111, 1277, 1816, 6128, 1167, 1281, 25278, 1186, 1288, 5789, 1199, 1382, 8432, 1313, 1158, 3902, 1450, 1167, 1170, 2627, 179, 1767, 9357, 10976, 1527, 2985, 1329, 21936, 5386, 1856, 8590, 26524, 121, 1548, 1204, 148, 129, 4932, 1370, 12973, 3371, 6245, 4780, 1192, 1927, 1288, 18449, 3700, 1108, 1370, 8563, 1440, 1357, 1186, 9125, 1299, 1131, 9484, 1778, 11346, 1170, 2424, 7685, 14898, 1170, 31636, 1256, 1186, 1982, 1189, 9899, 488, 123, 123, 121, 19321, 1594, 8946, 18497, 1527, 15574, 1197, 24494, 1856, 1158, 5148, 119, 1170, 9524, 1227, 5773, 7979, 2308, 14552, 1285, 1158, 29560, 2442, 1309, 1170, 11287, 1313, 1158, 16956, 1125, 3171, 14230, 1457, 4787, 21463, 1527, 24889, 21141, 1188, 14344, 1189, 2678, 1256, 1561, 6400, 1315, 1336, 8370, 488, 124, 132, 131, 129, 119, 8590, 26524, 1167, 2435, 2004, 1256, 5601, 1125, 13390, 7325, 1318, 16229, 11734, 1623, 29086, 24696, 17285, 6053, 7542, 1816, 5601, 3365, 1458, 30090, 1469, 1170, 9644, 1140, 26455, 11295, 7020, 1255, 1651, 3143, 1125, 2490, 2331, 1107, 1561, 4541, 121, 19321, 1158, 5601, 119, 1207, 9783, 1281, 4256, 2170, 1107, 1395, 1107, 1215, 1207, 23552, 3649, 13760, 11539, 5098, 1119, 1299, 1844, 22840, 1374, 1215, 1170, 9644, 1140, 7020, 1255, 23640, 1357, 5714, 8826, 21545, 1188, 26524, 1256, 1281, 6313, 121, 6982, 2008, 8826, 2423, 1346, 1527, 1111, 1277, 11539, 5098, 1119, 1167, 26524, 8524, 1123, 1188, 2368, 7197, 13302, 1125, 1282, 20423, 1186, 1158, 9005, 16452, 1657, 1768, 16930, 1158, 3643, 1188, 1909, 19034, 1392, 1357, 3664, 1888, 11539, 5098, 1119, 4541, 13699, 1262, 20150, 1309, 1207, 12653, 11181, 2097, 1170, 3664, 1888, 27688, 1527, 15458, 1318, 9869, 9763, 1378, 2290, 1170, 17260, 10329, 1125, 4563, 1153, 1167, 31636, 3747, 7020, 1255, 1651, 1167, 1318, 24999, 2271, 1108, 1575, 2502, 1128, 2256, 121, 6218, 1663, 1299, 1125, 14823, 1189, 23997, 24696, 1960, 2487, 1170, 1874, 1125, 2579, 1299, 20851, 144, 11136, 12258, 19859, 2391, 1125, 1158, 17598, 1125, 1282, 1199, 2794, 1188, 17255, 172, 2750, 1189, 2102, 9524, 2714, 8590, 26524, 1155, 1768, 16823, 1313, 1170, 3418, 20851, 144, 11136, 2290, 1207, 26002, 1125, 2499, 1119, 3032, 1119, 1186, 488, 124, 132, 132, 128, 2442, 1309, 1313, 1170, 7808, 1227, 3418, 1227, 2076, 1874, 1155, 1768, 1299, 2072, 11559, 1313, 1170, 5047, 20851, 144, 11136, 488, 123, 123, 130, 1300, 26522, 488, 129, 127, 1186, 4083, 1980, 2794, 184, 2433, 1362, 1856, 14514, 6317, 1186, 3473, 3544, 6397, 1155, 1192, 1927, 11539, 5098, 1119, 1299, 2445, 1189, 14514, 3227, 1364, 1186, 3473, 3544, 6397, 1227, 5047, 8590, 26524, 488, 123, 123, 130, 1257, 1548, 2854, 1288, 11616, 1382, 1300, 26522, 488, 129, 127, 8370, 1245, 5299, 1125, 8590, 26524, 18056, 1272, 1125, 14225, 15393, 19886, 21936, 5386, 1125, 14225, 1720, 2564, 2636, 1125, 14225, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 1927, 11539, 5098, 1119, 1299, 1189, 14514, 23924, 1317, 2854, 1125, 8590, 26524, 121, 1768, 1299, 1189, 7271, 9899, 7685, 14898, 1175, 2443, 2406, 1766, 1890, 1299, 488, 123, 123, 129, 116, 12749, 10157, 2038, 14231, 1566, 2388, 1158, 22925, 12507, 27213, 1909, 23309, 1197, 17488, 172, 1485, 1125, 29161, 5520, 1131, 1670, 1129, 23430, 2079, 1158, 11961, 3551, 13744, 1256, 3924, 17843, 121, 6982, 1158, 26634, 23147, 30831, 1207, 2350, 1154, 2442, 1309, 3713, 5610, 1571, 20088, 24696, 13760, 20702, 17488, 172, 1485, 1508, 8064, 1234, 1571, 1185, 2610, 4621, 2290, 1170, 27555, 1125, 1753, 1132, 4994, 29845, 13432, 5924, 1520, 18741, 6952, 1440, 1309, 18965, 10205, 10335, 1486, 25783, 25157, 1964, 1834, 6993, 1318, 1675, 29277, 1117, 2596, 1643, 10023, 5519, 1927, 2435, 5714, 10544, 121, 6218, 9159, 1111, 1277, 1816, 6128, 1167, 1281, 25278, 1186, 1288, 5789, 1199, 1382, 8432, 1313, 1158, 3902, 1450, 1167, 1170, 2627, 179, 1767, 9357, 10976, 1527, 2985, 1329, 21936, 5386, 1856, 8590, 26524, 121, 1548, 1204, 148, 129, 4932, 1370, 12973, 3371, 6245, 4780, 1192, 1927, 1288, 18449, 3700, 1108, 1370, 8563, 1440, 1357, 1186, 9125, 1299, 1131, 9484, 1778, 11346, 1170, 2424, 7685, 14898, 1170, 31636, 1256, 1186, 1982, 1189, 9899, 488, 123, 123, 121, 19321, 1594, 8946, 18497, 1527, 15574, 1197, 24494, 1856, 1158, 5148, 119, 1170, 9524, 1227, 5773, 7979, 2308, 14552, 1285, 1158, 29560, 2442, 1309, 1170, 11287, 1313, 1158, 16956, 1125, 3171, 14230, 1457, 4787, 21463, 1527, 24889, 21141, 1188, 14344, 1189, 2678, 1256, 1561, 6400, 1315, 1336, 8370, 488, 124, 132, 131, 129, 119, 8590, 26524, 1167, 2435, 2004, 1256, 5601, 1125, 13390, 7325, 1318, 16229, 11734, 1623, 29086, 24696, 17285, 6053, 7542, 1816, 5601, 3365, 1458, 30090, 1469, 1170, 9644, 1140, 26455, 11295, 7020, 1255, 1651, 3143, 1125, 2490, 2331, 1107, 1561, 4541, 121, 19321, 1158, 5601, 119, 1207, 9783, 1281, 4256, 2170, 1107, 1395, 1107, 1215, 1207, 23552, 3649, 13760, 11539, 5098, 1119, 1299, 1844, 22840, 1374, 1215, 1170, 9644, 1140, 7020, 1255, 23640, 1357, 5714, 8826, 21545, 1188, 26524, 1256, 1281, 6313, 121, 6982, 2008, 8826, 2423, 1346, 1527, 1111, 1277, 11539, 5098, 1119, 1167, 26524, 8524, 1123, 1188, 2368, 7197, 13302, 1125, 1282, 20423, 1186, 1158, 9005, 16452, 1657, 1768, 16930, 1158, 3643, 1188, 1909, 19034, 1392, 1357, 3664, 1888, 11539, 5098, 1119, 4541, 13699, 1262, 20150, 1309, 1207, 12653, 11181, 2097, 1170, 3664, 1888, 27688, 1527, 15458, 1318, 9869, 9763, 1378, 2290, 1170, 17260, 10329, 1125, 4563, 1153, 1167, 31636, 3747, 7020, 1255, 1651, 1167, 1318, 24999, 2271, 1108, 1575, 2502, 1128, 2256, 121, 6218, 1663, 1299, 1125, 14823, 1189, 23997, 24696, 1960, 2487, 1170, 1874, 1125, 2579, 1299, 20851, 144, 11136, 12258, 19859, 2391, 1125, 1158, 17598, 1125, 1282, 1199, 2794, 1188, 17255, 172, 2750, 1189, 2102, 9524, 2714, 8590, 26524, 1155, 1768, 16823, 1313, 1170, 3418, 20851, 144, 11136, 2290, 1207, 26002, 1125, 2499, 1119, 3032, 1119, 1186, 488, 124, 132, 132, 128, 2442, 1309, 1313, 1170, 7808, 1227, 3418, 1227, 2076, 1874, 1155, 1768, 1299, 2072, 11559, 1313, 1170, 5047, 20851, 144, 11136, 488, 123, 123, 130, 1300, 26522, 488, 129, 127, 1186, 4083, 1980, 2794, 184, 2433, 1362, 1856, 14514, 6317, 1186, 3473, 3544, 6397, 1155, 1192, 1927, 11539, 5098, 1119, 1299, 2445, 1189, 14514, 3227, 1364, 1186, 3473, 3544, 6397, 1227, 5047, 8590, 26524, 488, 123, 123, 130, 1257, 1548, 2854, 1288, 11616, 1382, 1300, 26522, 488, 129, 127, 8370, 1245, 5299, 1125, 8590, 26524, 18056, 1272, 1125, 14225, 15393, 19886, 21936, 5386, 1125, 14225, 1720, 2564, 2636, 1125, 14225, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 2397, 1538, 1284, 1227, 5370, 8665, 2397, 1538, 1284, 1125, 1643, 25291, 116, 1299, 1189, 2929, 1125, 7624, 1125, 14996, 1300, 1158, 4813, 1227, 5370, 119, 1188, 1643, 5294, 1145, 10062, 1252, 1298, 1199, 3011, 1188, 1189, 3151, 2929, 1188, 3281, 4853, 1108, 3366, 1527, 1299, 24161, 11051, 8001, 1186, 488, 125, 123, 124, 127, 10177, 15376, 12662, 26503, 2929, 1188, 3281, 4853, 21010, 17322, 10408, 1303, 1188, 1823, 2350, 6407, 1186, 488, 125, 123, 123, 131, 119, 1816, 7624, 10019, 1188, 3281, 4853, 21010, 1299, 14164, 1277, 1256, 1823, 20038, 4496, 3143, 20410, 2177, 1309, 4202, 1125, 27022, 1152, 3016, 16480, 3851, 1610, 1313, 1170, 2015, 2585, 9933, 1197, 8365, 2551, 2733, 2457, 1382, 1913, 24511, 1457, 8487, 16204, 1256, 22310, 488, 488, 129, 128, 123, 123, 3403, 1313, 1561, 1408, 3828, 14355, 2071, 488, 127, 128, 123, 123, 6058, 3042, 1693, 1120, 1186, 25570, 1554, 1167, 488, 125, 123, 123, 123, 7251, 1261, 1300, 1170, 1215, 1213, 1112, 1175, 1541, 14894, 4856, 2234, 1188, 6650, 2335, 9108, 1125, 2737, 3891, 1496, 2399, 6834, 1317, 29469, 1197, 9859, 2435, 7037, 27776, 8823, 16377, 1125, 2397, 1538, 1284, 8155, 7545, 1125, 13087, 1299, 21719, 1170, 488, 124, 128, 3012, 488, 125, 123, 123, 130, 1167, 11661, 1568, 1170, 488, 126, 123, 2738, 488, 125, 123, 123, 130, 121, 2576, 20877, 21742, 1312, 1299, 17034, 1996, 19539, 18424, 1643, 16956, 1304, 13221, 1125, 1440, 3151, 2929, 3031, 7115, 1303, 1215, 1282, 22151, 1304, 17792, 1539, 10698, 1673, 6044, 183, 1167, 3302, 4413, 1643, 9824, 1125, 1158, 3453, 8791, 1110, 3601, 1170, 488, 125, 123, 2875, 488, 125, 123, 123, 130, 7885, 23977, 1158, 10597, 6215, 1197, 13118, 30535, 1125, 488, 125, 123, 123, 131, 12459, 1304, 29573, 1170, 24111, 1197, 8787, 2377, 1473, 23095, 1717, 5176, 1132, 1500, 7349, 1199, 1309, 1440, 2929, 4407, 1370, 1189, 1185, 28100, 1112, 3273, 12161, 2576, 1104, 3136, 6141, 244, 1167, 6113, 1460, 9108, 1125, 7711, 1227, 12311, 13565, 1125, 26737, 1128, 9442, 1913, 1177, 1141, 1234, 1186, 28705, 1227, 20873, 1388, 12225, 1336, 1227, 2929, 1317, 5370, 2648, 11051, 1105, 10791, 5809, 17023, 1227, 5370, 29431, 1186, 488, 125, 123, 123, 132, 1158, 4971, 1313, 1158, 29689, 1188, 5719, 1227, 1518, 1219, 1379, 26787, 2335, 2397, 1538, 1284, 1125, 488, 127, 128, 123, 123, 8365, 1693, 2410, 1167, 488, 125, 123, 123, 123, 13701, 1346, 1256, 1189, 9662, 28577, 1835, 488, 125, 130, 1167, 488, 126, 123, 5743, 1304, 1929, 8318, 1814, 10058, 1304, 17792, 1299, 17034, 1186, 488, 125, 123, 124, 123, 1167, 3203, 23603, 1304, 23821, 22549, 1508, 5266, 28265, 1257, 13041, 1419, 1539, 10698, 1167, 6044, 11216, 8559, 11893, 11978, 1252, 192, 3583, 1141, 1167, 13041, 1419, 2893, 1414, 1167, 7839, 6603, 4060, 6128, 18900, 1170, 10058, 8155, 2397, 1538, 1284, 1227, 5370, 7457, 10374, 1823, 1170, 3151, 2397, 1538, 1284, 1304, 25354, 26721, 1167, 1170, 8826, 4408, 192, 1477, 2247, 2397, 1538, 1284, 1125, 12350, 1867, 3631, 9432, 244, 2391, 1125, 1158, 9625, 1197, 13118, 7389, 12043, 1170, 2929, 1299, 24161, 11051, 8001, 1186, 488, 125, 123, 124, 127, 119, 3042, 1309, 1158, 7091, 3031, 7469, 1277, 1256, 1170, 4755, 28198, 1125, 1158, 2076, 5910, 11488, 1167, 20117, 20544, 11052, 1424, 3281, 4853, 21010, 1175, 3562, 25291, 1260, 1548, 5370, 1175, 3562, 25291, 1718, 28870, 5825, 2093, 1939, 2093, 13001, 1628, 5738, 1125, 14996, 1188, 1643, 25291, 25876, 1317, 5370, 1175, 3562, 25291, 1260, 15779, 11771, 1317, 5370, 1175, 3562, 25291, 1260, 2101, 1843, 11941, 7623, 11051, 8001, 32001, 1424, 32000, 20036, 3616, 5370, 2397, 1108, 1284, 11105, 2397, 1108, 1284, 1161, 1643, 25291, 116, 1239, 1110, 3580, 1226, 1110, 9893, 17139, 1147, 1135, 7389, 3258, 1161, 1548, 5370, 119, 1147, 1643, 5294, 1145, 10062, 18437, 1149, 1151, 5744, 3580, 1147, 3281, 4853, 1108, 3366, 1341, 1463, 8405, 1477, 5098, 11051, 19780, 1147, 488, 125, 123, 124, 127, 10177, 7055, 1194, 16218, 3580, 1147, 3281, 4853, 21010, 3229, 191, 4737, 1163, 1280, 12142, 1147, 488, 125, 123, 123, 131, 119, 1413, 17139, 8452, 1147, 3281, 4853, 21010, 1239, 8794, 1163, 1280, 1644, 2344, 119, 1163, 9711, 4397, 2717, 8465, 26763, 3026, 11559, 1147, 2464, 1543, 1135, 20928, 2025, 1375, 8420, 121, 2358, 12393, 1163, 17225, 1230, 488, 129, 128, 123, 123, 2337, 1147, 2019, 10219, 14355, 2071, 1324, 488, 127, 128, 123, 123, 1281, 1589, 1147, 1135, 17442, 1171, 488, 125, 123, 123, 123, 16136, 1147, 1135, 20884, 1175, 2469, 6670, 14894, 1163, 1110, 2737, 3891, 6001, 1496, 1341, 25730, 1135, 12403, 1163, 1280, 3195, 1589, 1296, 1110, 2397, 1108, 1284, 6043, 6540, 14600, 1463, 19453, 1238, 6674, 488, 124, 128, 119, 488, 125, 123, 123, 130, 119, 1171, 16079, 1238, 4151, 488, 126, 123, 119, 488, 125, 123, 123, 130, 121, 1410, 3124, 1226, 1138, 4266, 1463, 15763, 4912, 1269, 2470, 121, 1410, 11941, 7623, 3195, 1161, 1413, 5744, 3580, 1463, 15334, 1656, 1449, 1135, 1539, 10698, 1673, 6044, 183, 1167, 12153, 1234, 16559, 9822, 121, 1410, 7435, 1829, 5635, 31717, 5868, 2320, 1238, 7327, 488, 125, 123, 119, 488, 125, 123, 123, 130, 10177, 1246, 4100, 1135, 13539, 1446, 1135, 488, 125, 123, 123, 131, 17023, 28898, 8071, 1163, 1166, 8272, 1135, 23609, 1296, 12912, 1776, 11663, 11569, 12827, 1302, 1341, 2098, 1280, 1110, 7305, 29435, 121, 1410, 10920, 1156, 5457, 1171, 1135, 2155, 7711, 3573, 1147, 1135, 7015, 10750, 1161, 26737, 1128, 2055, 2023, 3446, 3208, 1147, 15028, 1162, 1161, 1135, 4971, 22341, 4460, 5513, 1161, 1135, 3580, 1147, 1548, 5370, 1171, 23365, 11051, 1105, 1160, 3616, 1548, 5370, 17023, 23578, 17479, 1135, 4971, 1161, 1110, 2397, 1108, 1284, 1324, 488, 127, 128, 123, 123, 1281, 1589, 8365, 1171, 488, 125, 123, 123, 123, 16136, 8365, 1147, 1135, 7389, 26055, 3314, 1163, 1135, 1518, 1219, 1379, 26787, 1355, 1151, 17929, 4126, 1161, 2910, 488, 125, 130, 1171, 488, 126, 123, 4750, 6464, 121, 1645, 16559, 12621, 1463, 15763, 1147, 488, 125, 123, 124, 123, 119, 1171, 3337, 11941, 7623, 22530, 2025, 8849, 133, 1539, 10698, 1167, 6044, 183, 1711, 19821, 8559, 11893, 11978, 1252, 192, 3583, 4277, 1171, 2893, 1414, 1167, 7839, 195, 1711, 22469, 1410, 21265, 9917, 1135, 12621, 6043, 1548, 5370, 2397, 1108, 1284, 1463, 16638, 1163, 1280, 1135, 1940, 2397, 1108, 1284, 1147, 1151, 28411, 1141, 29837, 1171, 1135, 1184, 1961, 1148, 15803, 2397, 1108, 1284, 1147, 12350, 24068, 1425, 5463, 3545, 1135, 17023, 11827, 8769, 119, 1135, 3580, 1463, 8405, 1477, 5098, 11051, 19780, 1147, 488, 125, 123, 124, 127, 119, 2884, 1135, 14297, 1463, 5978, 1147, 1135, 2977, 13191, 1161, 1135, 2994, 11764, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 5370, 2397, 1108, 1284, 11105, 2397, 1108, 1284, 1161, 1643, 25291, 116, 1239, 1110, 3580, 1226, 1110, 9893, 17139, 1147, 1135, 7389, 3258, 1161, 1548, 5370, 119, 1147, 1643, 5294, 1145, 10062, 18437, 1149, 1151, 5744, 3580, 1147, 3281, 4853, 1108, 3366, 1341, 1463, 8405, 1477, 5098, 11051, 19780, 1147, 488, 125, 123, 124, 127, 10177, 7055, 1194, 16218, 3580, 1147, 3281, 4853, 21010, 3229, 191, 4737, 1163, 1280, 12142, 1147, 488, 125, 123, 123, 131, 119, 1413, 17139, 8452, 1147, 3281, 4853, 21010, 1239, 8794, 1163, 1280, 1644, 2344, 119, 1163, 9711, 4397, 2717, 8465, 26763, 3026, 11559, 1147, 2464, 1543, 1135, 20928, 2025, 1375, 8420, 121, 2358, 12393, 1163, 17225, 1230, 488, 129, 128, 123, 123, 2337, 1147, 2019, 10219, 14355, 2071, 1324, 488, 127, 128, 123, 123, 1281, 1589, 1147, 1135, 17442, 1171, 488, 125, 123, 123, 123, 16136, 1147, 1135, 20884, 1175, 2469, 6670, 14894, 1163, 1110, 2737, 3891, 6001, 1496, 1341, 25730, 1135, 12403, 1163, 1280, 3195, 1589, 1296, 1110, 2397, 1108, 1284, 6043, 6540, 14600, 1463, 19453, 1238, 6674, 488, 124, 128, 119, 488, 125, 123, 123, 130, 119, 1171, 16079, 1238, 4151, 488, 126, 123, 119, 488, 125, 123, 123, 130, 121, 1410, 3124, 1226, 1138, 4266, 1463, 15763, 4912, 1269, 2470, 121, 1410, 11941, 7623, 3195, 1161, 1413, 5744, 3580, 1463, 15334, 1656, 1449, 1135, 1539, 10698, 1673, 6044, 183, 1167, 12153, 1234, 16559, 9822, 121, 1410, 7435, 1829, 5635, 31717, 5868, 2320, 1238, 7327, 488, 125, 123, 119, 488, 125, 123, 123, 130, 10177, 1246, 4100, 1135, 13539, 1446, 1135, 488, 125, 123, 123, 131, 17023, 28898, 8071, 1163, 1166, 8272, 1135, 23609, 1296, 12912, 1776, 11663, 11569, 12827, 1302, 1341, 2098, 1280, 1110, 7305, 29435, 121, 1410, 10920, 1156, 5457, 1171, 1135, 2155, 7711, 3573, 1147, 1135, 7015, 10750, 1161, 26737, 1128, 2055, 2023, 3446, 3208, 1147, 15028, 1162, 1161, 1135, 4971, 22341, 4460, 5513, 1161, 1135, 3580, 1147, 1548, 5370, 1171, 23365, 11051, 1105, 1160, 3616, 1548, 5370, 17023, 23578, 17479, 1135, 4971, 1161, 1110, 2397, 1108, 1284, 1324, 488, 127, 128, 123, 123, 1281, 1589, 8365, 1171, 488, 125, 123, 123, 123, 16136, 8365, 1147, 1135, 7389, 26055, 3314, 1163, 1135, 1518, 1219, 1379, 26787, 1355, 1151, 17929, 4126, 1161, 2910, 488, 125, 130, 1171, 488, 126, 123, 4750, 6464, 121, 1645, 16559, 12621, 1463, 15763, 1147, 488, 125, 123, 124, 123, 119, 1171, 3337, 11941, 7623, 22530, 2025, 8849, 133, 1539, 10698, 1167, 6044, 183, 1711, 19821, 8559, 11893, 11978, 1252, 192, 3583, 4277, 1171, 2893, 1414, 1167, 7839, 195, 1711, 22469, 1410, 21265, 9917, 1135, 12621, 6043, 1548, 5370, 2397, 1108, 1284, 1463, 16638, 1163, 1280, 1135, 1940, 2397, 1108, 1284, 1147, 1151, 28411, 1141, 29837, 1171, 1135, 1184, 1961, 1148, 15803, 2397, 1108, 1284, 1147, 12350, 24068, 1425, 5463, 3545, 1135, 17023, 11827, 8769, 119, 1135, 3580, 1463, 8405, 1477, 5098, 11051, 19780, 1147, 488, 125, 123, 124, 127, 119, 2884, 1135, 14297, 1463, 5978, 1147, 1135, 2977, 13191, 1161, 1135, 2994, 11764, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 12928, 31751, 21024, 2403, 31868, 2064, 29461, 1233, 3807, 9429, 6176, 12611, 14567, 14777, 1110, 5065, 13954, 1135, 5589, 1161, 1110, 5582, 5384, 121, 12611, 11648, 1656, 1163, 2751, 1135, 5582, 1141, 3988, 1663, 1135, 17588, 1230, 8281, 4172, 23043, 1959, 1197, 4505, 1135, 1115, 2836, 18898, 2030, 1926, 4710, 1430, 1853, 9044, 133, 11539, 5384, 9641, 1763, 3946, 1121, 133, 10676, 1252, 5186, 1149, 1628, 9414, 3059, 133, 4172, 15156, 13548, 2982, 20288, 1379, 2769, 2549, 6796, 1171, 4172, 28287, 7432, 2443, 4558, 1238, 1135, 10704, 1449, 6927, 7422, 4357, 24183, 1105, 5383, 3409, 133, 1306, 6773, 6429, 1137, 6647, 5383, 3409, 4571, 133, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 1720, 19486, 133, 6767, 6388, 1753, 1752, 1516, 1505, 1314, 13005, 11114, 133, 12282, 6384, 119, 5922, 2066, 21942, 2114, 1171, 1165, 1269, 1208, 1867, 161, 6883, 172, 2586, 2689, 9513, 2893, 3383, 1173, 1822, 1488, 1505, 15619, 1161, 3425, 133, 4909, 6716, 13164, 1128, 133, 6597, 1171, 9846, 2911, 1108, 1112, 133, 26336, 1278, 1763, 3607, 133, 488, 124, 124, 123, 4826, 5061, 3866, 3110, 133, 488, 124, 132, 126, 127, 12498, 1573, 5486, 1390, 1431, 3032, 1884, 133, 8281, 4172, 23043, 2278, 1480, 1214, 29907, 133, 12611, 14567, 14777, 1489, 1231, 1140, 4173, 1857, 16101, 133, 27796, 29461, 14188, 1292, 114, 1233, 3807, 3052, 1824, 186, 21043, 1839, 16694, 11684, 1983, 196, 1489, 1822, 1120, 22946, 133, 27796, 23479, 5799, 1172, 13899, 1875, 1205, 1140, 27191, 133, 1198, 4740, 2554, 4530, 4196, 1124, 1328, 29302, 1146, 109, 28847, 133, 23811, 29954, 6037, 1110, 5778, 7496, 1108, 1709, 162, 28283, 21229, 1204, 1510, 133, 1135, 18166, 1618, 4196, 1124, 1328, 5260, 153, 8892, 1105, 133, 6597, 19416, 1763, 1121, 31982, 27898, 1105, 133, 28839, 14567, 14777, 1763, 1118, 2313, 1322, 28439, 2266, 1415, 133, 11029, 11576, 2523, 14469, 184, 2506, 8346, 1983, 133, 28914, 3052, 5386, 3671, 2621, 133, 25410, 4196, 1124, 1328, 10069, 10775, 133, 29743, 5523, 1293, 2091, 4196, 1124, 1328, 31918, 1706, 133, 1110, 17588, 1230, 1750, 31326, 25450, 1488, 133, 1110, 17588, 1230, 1194, 26722, 4672, 2523, 120, 4950, 3418, 9578, 1147, 488, 124, 132, 126, 127, 3723, 4950, 28849, 3418, 3723, 29109, 1230, 3418, 3723, 4950, 5861, 1171, 7502, 3418, 3723, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 3418, 3723, 7274, 1147, 1135, 488, 124, 131, 1276, 14851, 3723, 1222, 30132, 1449, 10676, 1252, 5186, 1149, 3723, 2571, 17005, 1161, 11539, 5384, 9641, 1226, 1135, 1116, 20770, 3723, 12483, 1324, 4501, 26482, 1449, 6767, 6388, 1753, 1752, 1516, 32001, 1424, 32000, 20036, 1628, 31751, 1424, 141, 13160, 9901, 1346, 2567, 1125, 31019, 7763, 5714, 1317, 6018, 12611, 14567, 14777, 1318, 5963, 2585, 1299, 17366, 1158, 3620, 2335, 14648, 7070, 1768, 1281, 2367, 1186, 5646, 1256, 3924, 1440, 20129, 1723, 1170, 17588, 1230, 8281, 4172, 23043, 25785, 1286, 2445, 1170, 1663, 1109, 14023, 3352, 4403, 1424, 20638, 1257, 2576, 227, 1126, 1317, 20129, 106, 20638, 5379, 1257, 11539, 5384, 9641, 106, 5294, 4521, 1257, 10676, 1252, 5186, 10009, 2941, 1538, 5844, 1257, 4172, 15156, 13548, 2982, 20288, 1379, 2769, 2549, 1554, 1167, 4172, 28287, 7432, 2443, 21469, 1170, 7808, 1125, 6927, 7422, 4357, 24183, 18581, 19210, 1257, 1306, 6773, 6429, 1137, 6647, 106, 7676, 1125, 4052, 1257, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 106, 20357, 1257, 6767, 6388, 1753, 1752, 1516, 106, 10272, 4134, 1257, 12282, 6384, 119, 5922, 2066, 9519, 2443, 1167, 1165, 1269, 1208, 1867, 161, 6883, 6472, 4304, 1272, 1257, 2893, 3383, 1173, 1822, 1488, 106, 9299, 14994, 1257, 9864, 106, 24178, 1257, 17392, 1167, 16419, 106, 8399, 1112, 1257, 1192, 1672, 1278, 106, 25694, 1257, 488, 124, 124, 123, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 126, 127, 13776, 10995, 1424, 11109, 1431, 3032, 1884, 1257, 8281, 4172, 23043, 1424, 8128, 1214, 29907, 9116, 145, 1257, 15521, 1918, 7910, 116, 1257, 12611, 14567, 14777, 106, 21476, 1140, 4173, 1857, 16101, 1257, 17734, 2100, 29461, 14188, 1292, 114, 1233, 3807, 1424, 20312, 186, 21043, 1839, 1107, 1257, 488, 11684, 1983, 196, 1424, 24759, 22946, 1257, 17734, 2100, 23479, 5799, 1172, 13899, 1424, 1266, 1205, 1140, 27191, 1257, 1198, 4740, 2554, 4530, 1424, 8179, 29302, 1146, 109, 28847, 1257, 23811, 29954, 6037, 2690, 7496, 1108, 1709, 7451, 21229, 1204, 1510, 1257, 1282, 1435, 1839, 1126, 1424, 8179, 5260, 153, 8892, 1105, 1257, 6597, 19416, 1424, 17486, 31982, 27898, 1105, 1257, 28839, 14567, 14777, 1424, 10341, 2313, 1322, 28439, 2266, 1415, 1257, 23709, 1306, 5989, 1424, 5826, 184, 2506, 8346, 1983, 1257, 28914, 1424, 1350, 5386, 3671, 2621, 1257, 25410, 1424, 8179, 10069, 10775, 1257, 29743, 5523, 1293, 2091, 1424, 8179, 31918, 1706, 1257, 1189, 17588, 1230, 106, 10290, 25450, 1488, 1257, 1189, 17588, 1230, 106, 1183, 3051, 2081, 2180, 175, 1837, 1424, 27191, 31918, 1706, 1257, 1814, 5598, 1188, 1158, 7899, 1263, 1245, 1424, 10623, 1306, 2818, 196, 1257, 1814, 17588, 1230, 106, 6709, 3341, 21636, 1738, 1119, 1257, 9193, 23128, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 124, 132, 126, 127, 15089, 13335, 12980, 8403, 15089, 1125, 17588, 2026, 15089, 8403, 1186, 7272, 1167, 7207, 15089, 1125, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 15089, 1281, 8866, 11953, 1317, 11402, 31549, 6298, 15089, 8922, 1215, 10676, 1252, 5186, 1149, 8535, 17005, 1125, 2576, 227, 1126, 1317, 20129, 1317, 9452, 15089, 1469, 1318, 7585, 17350, 1215, 6767, 6388, 1753, 1752, 1516, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 31751, 1424, 141, 13160, 9901, 1346, 2567, 1125, 31019, 7763, 5714, 1317, 6018, 12611, 14567, 14777, 1318, 5963, 2585, 1299, 17366, 1158, 3620, 2335, 14648, 7070, 1768, 1281, 2367, 1186, 5646, 1256, 3924, 1440, 20129, 1723, 1170, 17588, 1230, 8281, 4172, 23043, 25785, 1286, 2445, 1170, 1663, 1109, 14023, 3352, 4403, 1424, 20638, 1257, 2576, 227, 1126, 1317, 20129, 106, 20638, 5379, 1257, 11539, 5384, 9641, 106, 5294, 4521, 1257, 10676, 1252, 5186, 10009, 2941, 1538, 5844, 1257, 4172, 15156, 13548, 2982, 20288, 1379, 2769, 2549, 1554, 1167, 4172, 28287, 7432, 2443, 21469, 1170, 7808, 1125, 6927, 7422, 4357, 24183, 18581, 19210, 1257, 1306, 6773, 6429, 1137, 6647, 106, 7676, 1125, 4052, 1257, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 106, 20357, 1257, 6767, 6388, 1753, 1752, 1516, 106, 10272, 4134, 1257, 12282, 6384, 119, 5922, 2066, 9519, 2443, 1167, 1165, 1269, 1208, 1867, 161, 6883, 6472, 4304, 1272, 1257, 2893, 3383, 1173, 1822, 1488, 106, 9299, 14994, 1257, 9864, 106, 24178, 1257, 17392, 1167, 16419, 106, 8399, 1112, 1257, 1192, 1672, 1278, 106, 25694, 1257, 488, 124, 124, 123, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 126, 127, 13776, 10995, 1424, 11109, 1431, 3032, 1884, 1257, 8281, 4172, 23043, 1424, 8128, 1214, 29907, 9116, 145, 1257, 15521, 1918, 7910, 116, 1257, 12611, 14567, 14777, 106, 21476, 1140, 4173, 1857, 16101, 1257, 17734, 2100, 29461, 14188, 1292, 114, 1233, 3807, 1424, 20312, 186, 21043, 1839, 1107, 1257, 488, 11684, 1983, 196, 1424, 24759, 22946, 1257, 17734, 2100, 23479, 5799, 1172, 13899, 1424, 1266, 1205, 1140, 27191, 1257, 1198, 4740, 2554, 4530, 1424, 8179, 29302, 1146, 109, 28847, 1257, 23811, 29954, 6037, 2690, 7496, 1108, 1709, 7451, 21229, 1204, 1510, 1257, 1282, 1435, 1839, 1126, 1424, 8179, 5260, 153, 8892, 1105, 1257, 6597, 19416, 1424, 17486, 31982, 27898, 1105, 1257, 28839, 14567, 14777, 1424, 10341, 2313, 1322, 28439, 2266, 1415, 1257, 23709, 1306, 5989, 1424, 5826, 184, 2506, 8346, 1983, 1257, 28914, 1424, 1350, 5386, 3671, 2621, 1257, 25410, 1424, 8179, 10069, 10775, 1257, 29743, 5523, 1293, 2091, 1424, 8179, 31918, 1706, 1257, 1189, 17588, 1230, 106, 10290, 25450, 1488, 1257, 1189, 17588, 1230, 106, 1183, 3051, 2081, 2180, 175, 1837, 1424, 27191, 31918, 1706, 1257, 1814, 5598, 1188, 1158, 7899, 1263, 1245, 1424, 10623, 1306, 2818, 196, 1257, 1814, 17588, 1230, 106, 6709, 3341, 21636, 1738, 1119, 1257, 9193, 23128, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 124, 132, 126, 127, 15089, 13335, 12980, 8403, 15089, 1125, 17588, 2026, 15089, 8403, 1186, 7272, 1167, 7207, 15089, 1125, 7360, 1150, 5264, 2066, 194, 1869, 3046, 4604, 15089, 1281, 8866, 11953, 1317, 11402, 31549, 6298, 15089, 8922, 1215, 10676, 1252, 5186, 1149, 8535, 17005, 1125, 2576, 227, 1126, 1317, 20129, 1317, 9452, 15089, 1469, 1318, 7585, 17350, 1215, 6767, 6388, 1753, 1752, 1516, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 14564, 16264, 1180, 6678, 186, 1200, 1383, 1128, 6930, 9428, 1326, 181, 2086, 26475, 185, 5417, 1200, 1383, 1810, 1463, 9204, 1238, 7871, 488, 129, 119, 488, 124, 132, 131, 123, 1147, 7346, 1810, 4873, 4353, 1171, 1239, 1110, 4873, 2886, 2323, 4578, 7711, 1107, 2000, 9273, 1296, 1110, 7515, 177, 1733, 1596, 1388, 3780, 6227, 1446, 1110, 4772, 1161, 7711, 2563, 1324, 1765, 11432, 3991, 1140, 1200, 1383, 1128, 6930, 1352, 1104, 18006, 1171, 15073, 18021, 3991, 1140, 1200, 1383, 1128, 6930, 3251, 3026, 4873, 2886, 2323, 4578, 190, 1296, 2632, 1388, 2809, 1287, 9932, 12063, 183, 1180, 1200, 1383, 1128, 6930, 3062, 1110, 2220, 1226, 9360, 1355, 1165, 1354, 1780, 7497, 3981, 1165, 15960, 2086, 2468, 1386, 9273, 2910, 488, 125, 123, 123, 126, 1171, 488, 125, 123, 123, 128, 119, 16403, 2197, 4578, 27568, 133, 1135, 21594, 172, 6455, 14804, 1146, 4436, 1147, 488, 125, 123, 123, 126, 1171, 1135, 4597, 28451, 6455, 14804, 1146, 4436, 1135, 3602, 1976, 1388, 5330, 20213, 1163, 10710, 1149, 1165, 7464, 1132, 1323, 1135, 5878, 2468, 1386, 1463, 20259, 1147, 1765, 15681, 1323, 1147, 488, 125, 123, 123, 128, 119, 1386, 7905, 1704, 1161, 1789, 2481, 1184, 2725, 9092, 2489, 2996, 2133, 9917, 1135, 4873, 2886, 2323, 27470, 5992, 5377, 15023, 6148, 1627, 1496, 1171, 13372, 1135, 3270, 29191, 1161, 488, 124, 123, 123, 15083, 22568, 1226, 1135, 5878, 1238, 4151, 488, 127, 119, 488, 125, 123, 125, 123, 121, 1192, 4013, 11004, 18775, 1238, 4151, 488, 124, 125, 119, 488, 125, 123, 125, 123, 119, 3545, 1110, 21594, 172, 27450, 1217, 4731, 3904, 4064, 20154, 1358, 4741, 1386, 3062, 1765, 488, 1324, 10710, 1149, 1165, 7464, 1132, 6649, 7262, 488, 125, 123, 124, 132, 119, 2470, 488, 124, 128, 3162, 1355, 1135, 5878, 119, 1386, 19089, 10229, 1765, 25544, 2542, 1446, 1248, 1195, 1811, 1324, 1110, 3783, 1161, 488, 128, 125, 123, 15792, 9273, 1171, 488, 124, 123, 129, 15083, 22568, 1147, 1543, 12621, 1297, 23154, 2095, 1110, 3677, 18775, 10710, 1149, 1165, 7464, 1132, 18919, 1302, 1200, 1383, 1128, 6930, 2098, 5841, 1355, 1135, 5878, 119, 7033, 1238, 1110, 5897, 1163, 1280, 8782, 1147, 1135, 5878, 1361, 7436, 6649, 13200, 9932, 1489, 1383, 1128, 6930, 9273, 488, 127, 129, 5377, 1226, 1135, 4873, 2886, 2323, 3781, 26964, 2133, 1375, 4835, 5868, 1910, 1147, 1135, 488, 125, 123, 124, 124, 21594, 172, 29354, 172, 1147, 19730, 3382, 1171, 1135, 488, 125, 123, 124, 128, 16794, 1147, 1539, 7056, 2468, 1765, 3390, 12914, 4823, 1238, 3251, 29862, 1388, 3780, 22568, 1765, 2155, 4578, 8603, 1147, 1135, 13191, 120, 1773, 2314, 1161, 1135, 21594, 172, 29354, 172, 488, 125, 123, 124, 124, 119, 12306, 1135, 30718, 4064, 17304, 1575, 1238, 6942, 488, 124, 129, 119, 488, 125, 123, 124, 124, 1175, 125, 120, 123, 19542, 4023, 147, 1105, 1627, 1194, 2809, 1287, 4713, 1967, 11724, 12498, 28451, 29354, 172, 1339, 2103, 3456, 2320, 133, 488, 125, 123, 124, 124, 1171, 488, 125, 123, 124, 128, 8732, 26981, 16908, 1566, 1107, 2886, 2323, 24081, 1161, 1135, 9574, 488, 125, 123, 124, 127, 6034, 6911, 14520, 12323, 7963, 1147, 7346, 172, 2056, 2589, 1147, 7871, 488, 124, 132, 131, 123, 1566, 1107, 2886, 2323, 4578, 7711, 1107, 7379, 4604, 1355, 10710, 13436, 190, 7379, 4604, 1355, 7572, 3324, 2972, 1125, 23639, 3382, 7379, 4604, 1355, 11631, 1123, 5844, 1125, 1867, 1715, 1104, 7379, 4604, 1355, 1814, 24323, 21740, 1124, 1132, 7379, 4604, 1355, 1165, 1354, 1780, 7497, 3981, 1165, 1153, 6271, 7379, 4604, 1355, 10710, 1149, 1165, 7464, 1132, 114, 32001, 1424, 32000, 20036, 12063, 183, 1180, 6678, 186, 1200, 1383, 1128, 6930, 9428, 1326, 181, 2086, 1300, 185, 23726, 1200, 1383, 1810, 5252, 1170, 488, 129, 3141, 488, 124, 132, 131, 123, 1188, 7346, 172, 1317, 28940, 12781, 1299, 1189, 4981, 24981, 4578, 14856, 2886, 1354, 1357, 12242, 1370, 1186, 4083, 1309, 8007, 1125, 9108, 12258, 1299, 7841, 2519, 4446, 1125, 4981, 24981, 1285, 1594, 9159, 3991, 1140, 1200, 1383, 1128, 6930, 1352, 1104, 18006, 1167, 1594, 15722, 1110, 249, 6968, 3991, 1140, 1200, 1383, 1128, 6930, 6058, 5924, 2072, 25069, 14856, 2886, 2624, 14231, 1194, 149, 12590, 1186, 5878, 12063, 183, 1180, 1200, 1383, 1128, 6930, 8135, 1844, 1189, 1874, 1317, 1165, 1354, 1780, 7497, 3981, 1165, 15960, 2086, 2585, 1527, 1110, 12242, 244, 1835, 488, 125, 123, 123, 126, 1167, 488, 125, 123, 123, 128, 119, 1186, 18241, 1199, 2069, 8470, 25069, 133, 1158, 21594, 172, 6455, 14804, 1146, 4436, 488, 125, 123, 123, 126, 1167, 1158, 4597, 28451, 6455, 14804, 16925, 1810, 9911, 10549, 1388, 5330, 2300, 244, 1317, 10710, 1149, 1165, 7464, 1132, 1323, 5878, 2585, 1527, 1110, 1913, 19778, 1313, 1561, 12614, 1323, 1186, 488, 125, 123, 123, 128, 119, 1527, 1186, 7354, 6113, 1197, 12012, 1207, 1408, 29290, 2035, 1384, 12041, 1653, 6500, 14045, 1227, 28940, 1118, 1188, 7762, 21402, 18329, 6385, 21292, 1496, 1200, 1383, 1128, 6930, 12669, 1158, 15756, 1197, 488, 124, 123, 123, 25460, 1557, 8858, 1317, 5545, 1125, 13102, 5345, 119, 1170, 488, 127, 2738, 488, 125, 123, 125, 123, 121, 24976, 10031, 1408, 14429, 1170, 488, 124, 125, 2738, 488, 125, 123, 125, 123, 119, 1188, 15466, 2519, 6666, 1125, 21594, 172, 27450, 1217, 4731, 2714, 14097, 183, 1358, 4741, 1527, 24844, 1594, 488, 1469, 1170, 10710, 1149, 1165, 7464, 1132, 8370, 2584, 488, 125, 123, 124, 132, 119, 2750, 488, 124, 128, 2165, 1125, 1838, 4377, 1527, 10656, 1313, 1189, 3151, 2658, 1594, 7882, 1227, 5878, 1248, 1195, 1811, 1469, 1189, 13466, 1125, 488, 128, 125, 123, 20825, 3227, 1234, 1167, 488, 124, 123, 129, 25460, 21837, 3392, 2962, 9973, 17718, 30996, 21226, 1204, 5433, 2335, 2879, 1408, 14429, 1170, 10710, 1149, 1165, 7464, 1132, 20978, 18732, 1309, 1200, 1383, 1128, 6930, 9931, 1370, 1317, 5545, 1125, 1440, 17002, 7723, 1199, 1189, 8536, 1188, 16106, 1313, 1170, 7436, 1227, 5878, 1388, 149, 12590, 1186, 5266, 1489, 1383, 1128, 6930, 10809, 1188, 488, 127, 129, 21402, 1186, 5266, 1227, 28940, 30701, 1768, 1110, 3747, 20888, 1571, 21594, 172, 29354, 172, 1125, 488, 125, 123, 124, 124, 119, 1186, 19730, 3603, 1167, 488, 125, 123, 124, 128, 119, 1317, 1539, 1142, 2433, 2585, 1594, 4924, 5906, 1442, 1123, 1188, 3219, 2768, 1158, 1939, 488, 28769, 6252, 1594, 4374, 1663, 4578, 1186, 1179, 8752, 1125, 12244, 1125, 1158, 21594, 172, 29354, 172, 488, 125, 123, 124, 124, 119, 1186, 4783, 6387, 1170, 8194, 2714, 1158, 17304, 2620, 1170, 488, 124, 129, 2921, 488, 125, 123, 124, 124, 9321, 1146, 8648, 488, 125, 120, 123, 4023, 155, 26361, 29515, 5878, 29515, 4924, 5277, 25158, 28451, 29354, 172, 1257, 1853, 2607, 3555, 1257, 488, 125, 123, 124, 124, 1167, 488, 125, 123, 124, 128, 8509, 1267, 1109, 7683, 6331, 14601, 1125, 9911, 488, 125, 123, 124, 127, 1317, 28940, 1118, 11488, 1167, 16828, 5825, 29496, 1188, 7346, 172, 8156, 1186, 3141, 488, 124, 132, 131, 123, 2105, 2836, 24981, 4578, 14856, 2886, 1354, 14601, 1227, 10710, 13436, 190, 14601, 1125, 5613, 1243, 3324, 2972, 1125, 23639, 3382, 14601, 1125, 1282, 29741, 1123, 5844, 1125, 1867, 1715, 1104, 14601, 1125, 1282, 2029, 24323, 21740, 1124, 1132, 14601, 1227, 1165, 1354, 1780, 7497, 3981, 1165, 1153, 6271, 14601, 1227, 10710, 1149, 1165, 7464, 1132, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 12063, 183, 1180, 6678, 186, 1200, 1383, 1128, 6930, 9428, 1326, 181, 2086, 1300, 185, 23726, 1200, 1383, 1810, 5252, 1170, 488, 129, 3141, 488, 124, 132, 131, 123, 1188, 7346, 172, 1317, 28940, 12781, 1299, 1189, 4981, 24981, 4578, 14856, 2886, 1354, 1357, 12242, 1370, 1186, 4083, 1309, 8007, 1125, 9108, 12258, 1299, 7841, 2519, 4446, 1125, 4981, 24981, 1285, 1594, 9159, 3991, 1140, 1200, 1383, 1128, 6930, 1352, 1104, 18006, 1167, 1594, 15722, 1110, 249, 6968, 3991, 1140, 1200, 1383, 1128, 6930, 6058, 5924, 2072, 25069, 14856, 2886, 2624, 14231, 1194, 149, 12590, 1186, 5878, 12063, 183, 1180, 1200, 1383, 1128, 6930, 8135, 1844, 1189, 1874, 1317, 1165, 1354, 1780, 7497, 3981, 1165, 15960, 2086, 2585, 1527, 1110, 12242, 244, 1835, 488, 125, 123, 123, 126, 1167, 488, 125, 123, 123, 128, 119, 1186, 18241, 1199, 2069, 8470, 25069, 133, 1158, 21594, 172, 6455, 14804, 1146, 4436, 488, 125, 123, 123, 126, 1167, 1158, 4597, 28451, 6455, 14804, 16925, 1810, 9911, 10549, 1388, 5330, 2300, 244, 1317, 10710, 1149, 1165, 7464, 1132, 1323, 5878, 2585, 1527, 1110, 1913, 19778, 1313, 1561, 12614, 1323, 1186, 488, 125, 123, 123, 128, 119, 1527, 1186, 7354, 6113, 1197, 12012, 1207, 1408, 29290, 2035, 1384, 12041, 1653, 6500, 14045, 1227, 28940, 1118, 1188, 7762, 21402, 18329, 6385, 21292, 1496, 1200, 1383, 1128, 6930, 12669, 1158, 15756, 1197, 488, 124, 123, 123, 25460, 1557, 8858, 1317, 5545, 1125, 13102, 5345, 119, 1170, 488, 127, 2738, 488, 125, 123, 125, 123, 121, 24976, 10031, 1408, 14429, 1170, 488, 124, 125, 2738, 488, 125, 123, 125, 123, 119, 1188, 15466, 2519, 6666, 1125, 21594, 172, 27450, 1217, 4731, 2714, 14097, 183, 1358, 4741, 1527, 24844, 1594, 488, 1469, 1170, 10710, 1149, 1165, 7464, 1132, 8370, 2584, 488, 125, 123, 124, 132, 119, 2750, 488, 124, 128, 2165, 1125, 1838, 4377, 1527, 10656, 1313, 1189, 3151, 2658, 1594, 7882, 1227, 5878, 1248, 1195, 1811, 1469, 1189, 13466, 1125, 488, 128, 125, 123, 20825, 3227, 1234, 1167, 488, 124, 123, 129, 25460, 21837, 3392, 2962, 9973, 17718, 30996, 21226, 1204, 5433, 2335, 2879, 1408, 14429, 1170, 10710, 1149, 1165, 7464, 1132, 20978, 18732, 1309, 1200, 1383, 1128, 6930, 9931, 1370, 1317, 5545, 1125, 1440, 17002, 7723, 1199, 1189, 8536, 1188, 16106, 1313, 1170, 7436, 1227, 5878, 1388, 149, 12590, 1186, 5266, 1489, 1383, 1128, 6930, 10809, 1188, 488, 127, 129, 21402, 1186, 5266, 1227, 28940, 30701, 1768, 1110, 3747, 20888, 1571, 21594, 172, 29354, 172, 1125, 488, 125, 123, 124, 124, 119, 1186, 19730, 3603, 1167, 488, 125, 123, 124, 128, 119, 1317, 1539, 1142, 2433, 2585, 1594, 4924, 5906, 1442, 1123, 1188, 3219, 2768, 1158, 1939, 488, 28769, 6252, 1594, 4374, 1663, 4578, 1186, 1179, 8752, 1125, 12244, 1125, 1158, 21594, 172, 29354, 172, 488, 125, 123, 124, 124, 119, 1186, 4783, 6387, 1170, 8194, 2714, 1158, 17304, 2620, 1170, 488, 124, 129, 2921, 488, 125, 123, 124, 124, 9321, 1146, 8648, 488, 125, 120, 123, 4023, 155, 26361, 29515, 5878, 29515, 4924, 5277, 25158, 28451, 29354, 172, 1257, 1853, 2607, 3555, 1257, 488, 125, 123, 124, 124, 1167, 488, 125, 123, 124, 128, 8509, 1267, 1109, 7683, 6331, 14601, 1125, 9911, 488, 125, 123, 124, 127, 1317, 28940, 1118, 11488, 1167, 16828, 5825, 29496, 1188, 7346, 172, 8156, 1186, 3141, 488, 124, 132, 131, 123, 2105, 2836, 24981, 4578, 14856, 2886, 1354, 14601, 1227, 10710, 13436, 190, 14601, 1125, 5613, 1243, 3324, 2972, 1125, 23639, 3382, 14601, 1125, 1282, 29741, 1123, 5844, 1125, 1867, 1715, 1104, 14601, 1125, 1282, 2029, 24323, 21740, 1124, 1132, 14601, 1227, 1165, 1354, 1780, 7497, 3981, 1165, 1153, 6271, 14601, 1227, 10710, 1149, 1165, 7464, 1132, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 1254, 4657, 145, 13121, 488, 125, 123, 123, 129, 1239, 1135, 488, 129, 1276, 16794, 1161, 1135, 1254, 4657, 145, 13121, 1388, 2951, 8100, 2267, 2324, 3913, 11934, 7073, 1637, 14907, 20230, 5475, 1192, 11050, 28780, 488, 125, 126, 119, 488, 125, 123, 123, 129, 1339, 146, 23431, 488, 128, 123, 1323, 488, 125, 131, 8207, 1105, 24091, 11050, 28780, 488, 126, 123, 119, 488, 125, 123, 123, 129, 1339, 152, 2244, 1108, 8336, 488, 127, 125, 1323, 488, 125, 129, 10958, 1701, 19155, 1242, 488, 130, 119, 488, 125, 123, 123, 129, 1339, 6016, 1105, 24091, 488, 124, 127, 1323, 488, 126, 128, 11140, 1108, 8336, 1194, 5475, 1233, 11050, 28780, 488, 125, 131, 119, 488, 125, 123, 123, 129, 1339, 150, 185, 4431, 488, 129, 123, 1323, 488, 125, 123, 1198, 3538, 190, 11050, 28780, 488, 125, 132, 119, 488, 125, 123, 123, 129, 1339, 159, 3538, 190, 488, 123, 1323, 488, 130, 132, 488, 124, 131, 124, 127, 9680, 19155, 1242, 488, 130, 119, 488, 125, 123, 123, 129, 1339, 124, 131, 124, 127, 9680, 488, 124, 132, 1323, 488, 130, 11453, 4431, 1194, 5475, 1165, 11050, 28780, 488, 132, 119, 488, 125, 123, 123, 129, 1339, 4961, 1277, 13612, 2312, 488, 124, 125, 1323, 488, 125, 124, 2941, 14552, 1764, 11050, 28780, 488, 125, 125, 119, 488, 125, 123, 123, 129, 1339, 162, 30221, 1500, 488, 130, 1323, 488, 126, 128, 13105, 13612, 2312, 19155, 1242, 488, 129, 119, 488, 125, 123, 123, 129, 1339, 4968, 14552, 1764, 488, 129, 132, 1323, 488, 130, 6832, 1164, 1500, 1194, 5475, 1222, 11050, 28780, 488, 124, 129, 119, 488, 125, 123, 123, 129, 1339, 159, 4122, 2007, 488, 125, 126, 1323, 488, 123, 10148, 1153, 1217, 1201, 11050, 28780, 488, 125, 132, 119, 488, 125, 123, 123, 129, 1339, 157, 2322, 178, 5493, 488, 127, 126, 1323, 488, 124, 126, 1198, 4122, 2007, 19155, 1242, 488, 130, 119, 488, 125, 123, 123, 129, 1339, 142, 28188, 1217, 1201, 488, 124, 126, 1323, 488, 126, 131, 1248, 2322, 178, 5493, 1194, 5475, 1254, 11050, 28780, 488, 124, 128, 119, 488, 125, 123, 123, 129, 1339, 4650, 2495, 488, 124, 127, 1323, 488, 132, 1200, 1764, 11050, 28780, 488, 125, 125, 119, 488, 125, 123, 123, 129, 1339, 151, 1764, 488, 124, 123, 1323, 488, 126, 124, 10958, 1701, 11050, 28780, 488, 125, 132, 119, 488, 125, 123, 123, 129, 1339, 146, 23431, 488, 125, 131, 1323, 488, 124, 129, 2571, 2495, 1194, 2834, 14636, 1773, 2314, 2278, 1515, 488, 125, 123, 119, 488, 125, 123, 123, 129, 133, 488, 124, 131, 124, 127, 9680, 488, 127, 124, 1323, 488, 125, 123, 1233, 1737, 7243, 10958, 1701, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 2941, 14552, 1764, 488, 124, 125, 1323, 488, 125, 123, 13105, 13612, 2312, 2278, 1515, 488, 125, 124, 119, 488, 125, 123, 123, 129, 133, 1248, 2322, 178, 5493, 488, 127, 124, 1323, 488, 131, 11453, 1580, 2523, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 11140, 1108, 8336, 488, 125, 131, 1323, 488, 126, 124, 6410, 197, 10958, 1701, 11934, 1320, 1221, 1109, 2314, 2278, 1515, 488, 124, 123, 119, 488, 125, 123, 123, 129, 133, 488, 124, 131, 124, 127, 9680, 488, 126, 128, 1323, 488, 129, 13105, 13612, 2312, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 1248, 2322, 178, 5493, 488, 132, 1323, 488, 125, 128, 6410, 197, 10958, 1701, 23159, 7261, 2278, 10042, 488, 131, 119, 488, 125, 123, 123, 129, 1355, 6410, 197, 1355, 1753, 1217, 1231, 6410, 197, 7480, 3514, 1108, 6647, 1147, 5775, 1161, 488, 125, 129, 123, 123, 6374, 5607, 1339, 146, 28022, 10958, 1701, 488, 126, 130, 1323, 488, 125, 123, 488, 124, 131, 124, 127, 9680, 1194, 1891, 9520, 1194, 144, 4657, 145, 13121, 1530, 16609, 17295, 1147, 488, 125, 123, 123, 129, 32001, 1424, 32000, 20036, 24623, 6880, 144, 4657, 145, 13121, 488, 125, 123, 123, 129, 1299, 1158, 488, 129, 2247, 9891, 1125, 5613, 4657, 145, 13121, 1388, 2809, 3913, 10140, 12498, 1132, 13140, 1637, 9670, 18036, 31577, 2740, 1192, 2093, 488, 125, 126, 3012, 488, 125, 123, 123, 129, 2232, 146, 23431, 488, 128, 123, 1323, 488, 125, 131, 8207, 1105, 24091, 1194, 488, 126, 123, 3012, 488, 125, 123, 123, 129, 1257, 1720, 2244, 1108, 8336, 488, 127, 125, 1323, 488, 125, 129, 10958, 1701, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 1257, 4030, 178, 1105, 24091, 488, 124, 127, 1323, 488, 126, 128, 11140, 1108, 8336, 31577, 2740, 1233, 2093, 488, 125, 131, 3012, 488, 125, 123, 123, 129, 2232, 150, 185, 4431, 488, 129, 123, 1323, 488, 125, 123, 1198, 3538, 20230, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 1257, 1853, 3538, 190, 488, 123, 1323, 488, 130, 132, 488, 124, 131, 124, 127, 9680, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 2232, 124, 131, 124, 127, 9680, 488, 124, 132, 1323, 488, 130, 11453, 4431, 31577, 2740, 1165, 2093, 488, 132, 3012, 488, 125, 123, 123, 129, 1257, 24259, 1277, 13612, 2312, 488, 124, 125, 1323, 488, 125, 124, 2941, 14552, 1764, 1194, 488, 125, 125, 3012, 488, 125, 123, 123, 129, 2232, 162, 30221, 1500, 488, 130, 1323, 488, 126, 128, 13105, 13612, 2312, 1194, 488, 129, 2738, 488, 125, 123, 123, 129, 20729, 174, 14552, 1764, 488, 129, 132, 1323, 488, 130, 6832, 1164, 1500, 31577, 2740, 1222, 2093, 488, 124, 129, 3012, 488, 125, 123, 123, 129, 1257, 1853, 4122, 2007, 488, 125, 126, 1323, 488, 123, 10148, 1153, 1217, 1201, 1194, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 1257, 1750, 2322, 178, 5493, 488, 127, 126, 1323, 488, 124, 126, 1198, 4122, 2007, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 15139, 28188, 1217, 1201, 488, 124, 126, 1323, 488, 126, 131, 1248, 2322, 178, 5493, 31577, 2740, 1254, 2093, 488, 124, 128, 3012, 488, 125, 123, 123, 129, 1257, 8535, 2495, 488, 124, 127, 1323, 488, 132, 1200, 1764, 1194, 488, 125, 125, 3012, 488, 125, 123, 123, 129, 1257, 1489, 1764, 488, 124, 123, 1323, 488, 126, 124, 10958, 1701, 1194, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 2232, 146, 23431, 488, 125, 131, 1323, 488, 124, 129, 2571, 2495, 1194, 2722, 8752, 1125, 12244, 1424, 488, 125, 123, 2798, 488, 125, 123, 123, 129, 1257, 124, 131, 124, 127, 9680, 488, 127, 124, 1323, 488, 125, 123, 10958, 1701, 1125, 1233, 16442, 24425, 14552, 1764, 488, 124, 125, 1323, 488, 125, 123, 13105, 13612, 2312, 1424, 488, 125, 124, 2798, 488, 125, 123, 123, 129, 1257, 157, 2322, 178, 5493, 488, 127, 124, 1323, 488, 131, 11453, 4431, 1720, 2244, 1108, 8336, 488, 125, 131, 1323, 488, 126, 124, 10958, 1701, 1125, 6410, 197, 2093, 24864, 8092, 1773, 2137, 1424, 488, 124, 123, 2798, 488, 125, 123, 123, 129, 1257, 124, 131, 124, 127, 9680, 488, 126, 128, 1323, 488, 129, 13105, 13612, 2312, 1750, 2322, 178, 5493, 488, 132, 1323, 488, 125, 128, 10958, 1701, 1125, 6410, 197, 2093, 16519, 1366, 1424, 488, 131, 2921, 488, 125, 123, 123, 129, 1188, 6410, 197, 1317, 1753, 1217, 1231, 6410, 197, 7480, 3514, 1108, 6647, 5551, 488, 125, 129, 123, 123, 6374, 2518, 2232, 146, 23431, 1125, 6410, 197, 488, 126, 130, 1323, 488, 125, 123, 488, 124, 131, 124, 127, 9680, 15948, 2093, 144, 4657, 145, 13121, 2105, 2836, 3891, 8403, 1186, 488, 125, 123, 123, 129, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24623, 6880, 144, 4657, 145, 13121, 488, 125, 123, 123, 129, 1299, 1158, 488, 129, 2247, 9891, 1125, 5613, 4657, 145, 13121, 1388, 2809, 3913, 10140, 12498, 1132, 13140, 1637, 9670, 18036, 31577, 2740, 1192, 2093, 488, 125, 126, 3012, 488, 125, 123, 123, 129, 2232, 146, 23431, 488, 128, 123, 1323, 488, 125, 131, 8207, 1105, 24091, 1194, 488, 126, 123, 3012, 488, 125, 123, 123, 129, 1257, 1720, 2244, 1108, 8336, 488, 127, 125, 1323, 488, 125, 129, 10958, 1701, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 1257, 4030, 178, 1105, 24091, 488, 124, 127, 1323, 488, 126, 128, 11140, 1108, 8336, 31577, 2740, 1233, 2093, 488, 125, 131, 3012, 488, 125, 123, 123, 129, 2232, 150, 185, 4431, 488, 129, 123, 1323, 488, 125, 123, 1198, 3538, 20230, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 1257, 1853, 3538, 190, 488, 123, 1323, 488, 130, 132, 488, 124, 131, 124, 127, 9680, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 2232, 124, 131, 124, 127, 9680, 488, 124, 132, 1323, 488, 130, 11453, 4431, 31577, 2740, 1165, 2093, 488, 132, 3012, 488, 125, 123, 123, 129, 1257, 24259, 1277, 13612, 2312, 488, 124, 125, 1323, 488, 125, 124, 2941, 14552, 1764, 1194, 488, 125, 125, 3012, 488, 125, 123, 123, 129, 2232, 162, 30221, 1500, 488, 130, 1323, 488, 126, 128, 13105, 13612, 2312, 1194, 488, 129, 2738, 488, 125, 123, 123, 129, 20729, 174, 14552, 1764, 488, 129, 132, 1323, 488, 130, 6832, 1164, 1500, 31577, 2740, 1222, 2093, 488, 124, 129, 3012, 488, 125, 123, 123, 129, 1257, 1853, 4122, 2007, 488, 125, 126, 1323, 488, 123, 10148, 1153, 1217, 1201, 1194, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 1257, 1750, 2322, 178, 5493, 488, 127, 126, 1323, 488, 124, 126, 1198, 4122, 2007, 1194, 488, 130, 2738, 488, 125, 123, 123, 129, 15139, 28188, 1217, 1201, 488, 124, 126, 1323, 488, 126, 131, 1248, 2322, 178, 5493, 31577, 2740, 1254, 2093, 488, 124, 128, 3012, 488, 125, 123, 123, 129, 1257, 8535, 2495, 488, 124, 127, 1323, 488, 132, 1200, 1764, 1194, 488, 125, 125, 3012, 488, 125, 123, 123, 129, 1257, 1489, 1764, 488, 124, 123, 1323, 488, 126, 124, 10958, 1701, 1194, 488, 125, 132, 3012, 488, 125, 123, 123, 129, 2232, 146, 23431, 488, 125, 131, 1323, 488, 124, 129, 2571, 2495, 1194, 2722, 8752, 1125, 12244, 1424, 488, 125, 123, 2798, 488, 125, 123, 123, 129, 1257, 124, 131, 124, 127, 9680, 488, 127, 124, 1323, 488, 125, 123, 10958, 1701, 1125, 1233, 16442, 24425, 14552, 1764, 488, 124, 125, 1323, 488, 125, 123, 13105, 13612, 2312, 1424, 488, 125, 124, 2798, 488, 125, 123, 123, 129, 1257, 157, 2322, 178, 5493, 488, 127, 124, 1323, 488, 131, 11453, 4431, 1720, 2244, 1108, 8336, 488, 125, 131, 1323, 488, 126, 124, 10958, 1701, 1125, 6410, 197, 2093, 24864, 8092, 1773, 2137, 1424, 488, 124, 123, 2798, 488, 125, 123, 123, 129, 1257, 124, 131, 124, 127, 9680, 488, 126, 128, 1323, 488, 129, 13105, 13612, 2312, 1750, 2322, 178, 5493, 488, 132, 1323, 488, 125, 128, 10958, 1701, 1125, 6410, 197, 2093, 16519, 1366, 1424, 488, 131, 2921, 488, 125, 123, 123, 129, 1188, 6410, 197, 1317, 1753, 1217, 1231, 6410, 197, 7480, 3514, 1108, 6647, 5551, 488, 125, 129, 123, 123, 6374, 2518, 2232, 146, 23431, 1125, 6410, 197, 488, 126, 130, 1323, 488, 125, 123, 488, 124, 131, 124, 127, 9680, 15948, 2093, 144, 4657, 145, 13121, 2105, 2836, 3891, 8403, 1186, 488, 125, 123, 123, 129, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 150, 1876, 7243, 5620, 3366, 14232, 1170, 488, 126, 124, 3201, 488, 124, 132, 132, 129, 1188, 3190, 175, 4519, 1188, 1306, 5363, 17618, 1299, 1318, 4981, 173, 5738, 1632, 10903, 1166, 5363, 11150, 12242, 1199, 1317, 8536, 1125, 9293, 1278, 1317, 24746, 1306, 10083, 14231, 12498, 1124, 4096, 1186, 5878, 6975, 1876, 7243, 7422, 1110, 14867, 12242, 244, 1313, 1197, 10431, 1125, 3453, 10041, 1166, 5363, 11150, 119, 4716, 19680, 1256, 1207, 1321, 1510, 1126, 3027, 1125, 16888, 4691, 2567, 1125, 5887, 1317, 3728, 1129, 3382, 13054, 121, 11151, 7230, 1110, 6349, 18494, 31805, 8830, 6488, 14503, 2399, 1299, 2762, 10641, 1215, 8980, 10302, 3683, 1222, 146, 1227, 1252, 145, 15969, 196, 12387, 3046, 2610, 1109, 4542, 5878, 1125, 13897, 488, 125, 121, 3450, 21180, 3042, 1594, 3293, 1256, 12218, 1189, 7889, 1186, 2315, 1317, 1252, 145, 15969, 196, 4319, 488, 125, 123, 124, 131, 3672, 3203, 20601, 1653, 2822, 488, 125, 123, 124, 131, 119, 2399, 12368, 12048, 1189, 5234, 1469, 1170, 5878, 7962, 1142, 1354, 27404, 29595, 488, 125, 123, 124, 132, 119, 1518, 1876, 7243, 7422, 16773, 1548, 21549, 1112, 9687, 12242, 1199, 2445, 1186, 1222, 125, 119, 2399, 13300, 1188, 1158, 24329, 10777, 1227, 5878, 1186, 13897, 488, 124, 8370, 488, 125, 123, 125, 124, 119, 2399, 12368, 1256, 1594, 8483, 5878, 1186, 6556, 1170, 1753, 2240, 1125, 1863, 1195, 1285, 3042, 1309, 1170, 21549, 1112, 7424, 9033, 1826, 1603, 6452, 1186, 1222, 125, 121, 6982, 1318, 9734, 16652, 1469, 1158, 10809, 1632, 1125, 1173, 1487, 1541, 24548, 196, 7839, 195, 2391, 1125, 1594, 4755, 3904, 1469, 1170, 21549, 2944, 2399, 1299, 18115, 1277, 14756, 15792, 1167, 3233, 2774, 4025, 4510, 2567, 1125, 20096, 1107, 1594, 3151, 3904, 2290, 1909, 5028, 7099, 1297, 3450, 1299, 6349, 1169, 19384, 1148, 1215, 1318, 3419, 1306, 5363, 11150, 119, 10357, 1210, 1214, 28439, 2589, 1242, 8155, 488, 128, 2749, 488, 125, 123, 125, 125, 119, 2399, 8827, 6113, 1460, 1663, 1125, 1158, 14789, 1338, 4234, 1439, 1188, 16049, 8370, 488, 125, 123, 125, 126, 119, 1518, 1876, 7243, 7422, 16773, 1561, 1736, 25502, 1774, 1186, 5266, 1266, 1356, 1142, 1575, 10257, 1234, 1187, 1317, 24746, 1306, 10083, 25886, 4096, 1186, 5266, 6975, 1876, 7243, 7422, 1299, 20555, 1186, 4924, 5277, 13076, 5363, 1117, 2757, 488, 125, 123, 124, 131, 1167, 13300, 3747, 1571, 5542, 20825, 1125, 12234, 8480, 1256, 1207, 9973, 17718, 21094, 8370, 488, 125, 123, 125, 126, 119, 2399, 13300, 1188, 1158, 3453, 16538, 1256, 1318, 13778, 1227, 2854, 1125, 13400, 1125, 1158, 5266, 1166, 5363, 11150, 2750, 1318, 14789, 1186, 3688, 9172, 3691, 1317, 1539, 2993, 7745, 8661, 1125, 5047, 16468, 7230, 28160, 1186, 9293, 119, 1317, 8536, 1125, 4123, 11038, 8632, 119, 1518, 1876, 7243, 7422, 1299, 2205, 28309, 1849, 1167, 1299, 10580, 2445, 1125, 9571, 1186, 25243, 1388, 2003, 12224, 29515, 5266, 1194, 10747, 190, 25069, 2359, 11426, 6441, 4575, 1207, 13656, 1125, 10796, 13076, 5363, 1117, 1313, 12286, 1518, 1876, 7243, 7422, 1110, 1913, 5266, 11980, 2757, 1170, 488, 125, 123, 124, 131, 7328, 2595, 8732, 26361, 29515, 5878, 2359, 21549, 1112, 9687, 4196, 1916, 11249, 1125, 2315, 1222, 125, 2073, 1443, 9037, 1916, 1231, 1257, 488, 125, 123, 125, 123, 9323, 1167, 16828, 5825, 23159, 2836, 173, 5738, 1632, 10903, 1166, 5363, 11150, 2278, 15167, 1632, 1227, 1252, 145, 15969, 196, 12387, 3046, 1118, 2316, 1541, 2278, 15167, 1632, 1227, 21549, 1112, 9687, 2278, 15167, 1632, 1227, 1753, 2240, 1125, 1863, 22886, 2278, 15167, 1632, 1227, 24746, 1306, 10083, 8156, 1186, 3201, 488, 124, 132, 132, 129, 8156, 1186, 1306, 5363, 1117, 32001, 1424, 32000, 20036, 6975, 1876, 7243, 5620, 3366, 9204, 1238, 6678, 488, 126, 124, 119, 488, 124, 132, 132, 129, 1147, 3190, 175, 26995, 12805, 1477, 119, 1239, 1110, 12805, 1477, 1119, 4578, 7711, 1107, 2000, 15751, 1296, 1110, 1683, 3332, 1226, 24746, 1306, 10083, 9663, 180, 11114, 1194, 2809, 1287, 9932, 6975, 1876, 7243, 7422, 1940, 9273, 1226, 11748, 1147, 1135, 12805, 1477, 1119, 1940, 10041, 119, 5292, 9273, 1226, 1135, 1321, 1510, 1126, 3027, 1125, 16888, 4691, 2979, 10950, 1163, 3728, 1129, 3382, 13054, 121, 9068, 6788, 1355, 1135, 8830, 6488, 1212, 11778, 184, 1762, 2293, 1463, 17447, 1449, 8980, 10302, 3683, 1135, 31809, 1161, 1252, 145, 15969, 196, 12387, 3046, 1118, 2316, 4542, 1110, 13897, 488, 125, 5878, 121, 3676, 2491, 3936, 2067, 5687, 1163, 3627, 1147, 2315, 1324, 1252, 145, 15969, 196, 1147, 5756, 488, 125, 123, 124, 131, 1226, 3337, 3677, 1297, 1459, 7357, 488, 125, 123, 124, 131, 119, 2293, 9750, 13942, 1110, 6013, 1324, 1135, 5878, 1446, 1135, 2801, 6054, 6649, 1135, 11717, 1161, 488, 125, 123, 124, 132, 119, 1518, 1876, 7243, 7422, 14010, 1548, 21549, 1112, 1192, 7440, 1959, 9096, 1147, 1222, 125, 119, 1171, 3512, 1589, 1147, 1135, 20477, 9853, 1161, 1135, 5878, 1163, 13897, 488, 124, 6649, 488, 125, 123, 125, 124, 119, 2293, 13942, 1226, 2067, 4823, 5878, 1147, 6556, 1753, 2240, 1125, 1863, 1195, 1285, 2470, 1548, 21549, 1112, 1463, 1169, 4487, 1589, 1163, 1222, 125, 121, 6226, 1110, 8394, 1324, 1173, 1487, 1541, 7402, 24548, 196, 7839, 195, 1147, 2067, 2977, 3904, 1324, 1548, 21549, 2944, 2293, 1463, 18115, 1156, 1226, 12299, 15792, 1171, 2055, 1163, 6501, 2979, 5096, 2067, 18202, 1147, 2067, 1624, 4203, 1297, 3676, 1463, 6470, 14010, 1449, 4129, 12805, 1477, 3100, 10357, 1210, 1214, 28439, 2589, 1242, 1388, 3466, 6324, 488, 128, 119, 488, 125, 123, 125, 125, 119, 2293, 22568, 1135, 2155, 8603, 1147, 1863, 1195, 7394, 19542, 4064, 16049, 6649, 488, 125, 123, 125, 126, 119, 1518, 1876, 7243, 7422, 14010, 2067, 3781, 3390, 3390, 184, 1230, 1266, 1356, 1142, 1575, 10257, 1234, 1187, 1355, 24746, 1306, 10083, 6649, 13200, 9932, 6975, 1876, 7243, 7422, 1602, 2023, 4494, 1806, 1163, 1135, 12805, 1477, 3781, 3390, 3976, 488, 125, 123, 124, 131, 1171, 1602, 3512, 1589, 1147, 6750, 16538, 15792, 1226, 4578, 7734, 17718, 6649, 488, 125, 123, 125, 126, 119, 2293, 12421, 12805, 1477, 5916, 196, 1226, 1789, 1940, 5677, 5055, 13121, 2470, 1110, 2489, 2869, 19542, 4064, 1539, 1399, 7745, 8661, 1161, 2489, 8472, 6434, 2293, 15751, 1147, 16611, 1296, 1110, 3936, 23228, 119, 1518, 1876, 7243, 7422, 1239, 2763, 2079, 26609, 1171, 1239, 1959, 10580, 1161, 9096, 1147, 7239, 1388, 2003, 22218, 30490, 13200, 3616, 3602, 3267, 23027, 1135, 15792, 1161, 1135, 12805, 1477, 3781, 3390, 1147, 1758, 1518, 1876, 7243, 7422, 1602, 2023, 8849, 1446, 488, 125, 123, 124, 131, 4945, 4143, 10177, 1105, 1500, 1194, 2809, 1287, 2359, 21549, 1112, 9687, 2105, 30206, 1222, 125, 19047, 1750, 1145, 1977, 7710, 133, 488, 125, 123, 125, 123, 1194, 1891, 9520, 1194, 26722, 4672, 2523, 147, 172, 1477, 1119, 4578, 7711, 1107, 7379, 4604, 1226, 1252, 145, 15969, 196, 12387, 3046, 1118, 2316, 1541, 7379, 4604, 1226, 1548, 21549, 1112, 9687, 7379, 4604, 1226, 1753, 2240, 1125, 1863, 22886, 7379, 4604, 1226, 24746, 1306, 10083, 2056, 2589, 1147, 6678, 488, 124, 132, 132, 129, 2056, 2589, 1147, 12805, 1477, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 6975, 1876, 7243, 5620, 3366, 9204, 1238, 6678, 488, 126, 124, 119, 488, 124, 132, 132, 129, 1147, 3190, 175, 26995, 12805, 1477, 119, 1239, 1110, 12805, 1477, 1119, 4578, 7711, 1107, 2000, 15751, 1296, 1110, 1683, 3332, 1226, 24746, 1306, 10083, 9663, 180, 11114, 1194, 2809, 1287, 9932, 6975, 1876, 7243, 7422, 1940, 9273, 1226, 11748, 1147, 1135, 12805, 1477, 1119, 1940, 10041, 119, 5292, 9273, 1226, 1135, 1321, 1510, 1126, 3027, 1125, 16888, 4691, 2979, 10950, 1163, 3728, 1129, 3382, 13054, 121, 9068, 6788, 1355, 1135, 8830, 6488, 1212, 11778, 184, 1762, 2293, 1463, 17447, 1449, 8980, 10302, 3683, 1135, 31809, 1161, 1252, 145, 15969, 196, 12387, 3046, 1118, 2316, 4542, 1110, 13897, 488, 125, 5878, 121, 3676, 2491, 3936, 2067, 5687, 1163, 3627, 1147, 2315, 1324, 1252, 145, 15969, 196, 1147, 5756, 488, 125, 123, 124, 131, 1226, 3337, 3677, 1297, 1459, 7357, 488, 125, 123, 124, 131, 119, 2293, 9750, 13942, 1110, 6013, 1324, 1135, 5878, 1446, 1135, 2801, 6054, 6649, 1135, 11717, 1161, 488, 125, 123, 124, 132, 119, 1518, 1876, 7243, 7422, 14010, 1548, 21549, 1112, 1192, 7440, 1959, 9096, 1147, 1222, 125, 119, 1171, 3512, 1589, 1147, 1135, 20477, 9853, 1161, 1135, 5878, 1163, 13897, 488, 124, 6649, 488, 125, 123, 125, 124, 119, 2293, 13942, 1226, 2067, 4823, 5878, 1147, 6556, 1753, 2240, 1125, 1863, 1195, 1285, 2470, 1548, 21549, 1112, 1463, 1169, 4487, 1589, 1163, 1222, 125, 121, 6226, 1110, 8394, 1324, 1173, 1487, 1541, 7402, 24548, 196, 7839, 195, 1147, 2067, 2977, 3904, 1324, 1548, 21549, 2944, 2293, 1463, 18115, 1156, 1226, 12299, 15792, 1171, 2055, 1163, 6501, 2979, 5096, 2067, 18202, 1147, 2067, 1624, 4203, 1297, 3676, 1463, 6470, 14010, 1449, 4129, 12805, 1477, 3100, 10357, 1210, 1214, 28439, 2589, 1242, 1388, 3466, 6324, 488, 128, 119, 488, 125, 123, 125, 125, 119, 2293, 22568, 1135, 2155, 8603, 1147, 1863, 1195, 7394, 19542, 4064, 16049, 6649, 488, 125, 123, 125, 126, 119, 1518, 1876, 7243, 7422, 14010, 2067, 3781, 3390, 3390, 184, 1230, 1266, 1356, 1142, 1575, 10257, 1234, 1187, 1355, 24746, 1306, 10083, 6649, 13200, 9932, 6975, 1876, 7243, 7422, 1602, 2023, 4494, 1806, 1163, 1135, 12805, 1477, 3781, 3390, 3976, 488, 125, 123, 124, 131, 1171, 1602, 3512, 1589, 1147, 6750, 16538, 15792, 1226, 4578, 7734, 17718, 6649, 488, 125, 123, 125, 126, 119, 2293, 12421, 12805, 1477, 5916, 196, 1226, 1789, 1940, 5677, 5055, 13121, 2470, 1110, 2489, 2869, 19542, 4064, 1539, 1399, 7745, 8661, 1161, 2489, 8472, 6434, 2293, 15751, 1147, 16611, 1296, 1110, 3936, 23228, 119, 1518, 1876, 7243, 7422, 1239, 2763, 2079, 26609, 1171, 1239, 1959, 10580, 1161, 9096, 1147, 7239, 1388, 2003, 22218, 30490, 13200, 3616, 3602, 3267, 23027, 1135, 15792, 1161, 1135, 12805, 1477, 3781, 3390, 1147, 1758, 1518, 1876, 7243, 7422, 1602, 2023, 8849, 1446, 488, 125, 123, 124, 131, 4945, 4143, 10177, 1105, 1500, 1194, 2809, 1287, 2359, 21549, 1112, 9687, 2105, 30206, 1222, 125, 19047, 1750, 1145, 1977, 7710, 133, 488, 125, 123, 125, 123, 1194, 1891, 9520, 1194, 26722, 4672, 2523, 147, 172, 1477, 1119, 4578, 7711, 1107, 7379, 4604, 1226, 1252, 145, 15969, 196, 12387, 3046, 1118, 2316, 1541, 7379, 4604, 1226, 1548, 21549, 1112, 9687, 7379, 4604, 1226, 1753, 2240, 1125, 1863, 22886, 7379, 4604, 1226, 24746, 1306, 10083, 2056, 2589, 1147, 6678, 488, 124, 132, 132, 129, 2056, 2589, 1147, 12805, 1477, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 7914, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 1175, 124, 130, 130, 124, 120, 124, 131, 129, 123, 116, 1463, 1110, 9197, 2943, 3850, 1192, 2161, 1580, 1161, 1135, 11801, 1171, 7829, 20838, 14545, 1161, 3281, 5620, 3366, 1386, 1463, 10901, 1427, 1163, 1135, 11178, 1161, 1557, 7197, 1132, 1125, 3577, 3545, 1135, 10764, 4078, 9663, 180, 11114, 3616, 1594, 1161, 1135, 1918, 5257, 1125, 16959, 1205, 1168, 1157, 3378, 21041, 1161, 1135, 24031, 12047, 14377, 6785, 1171, 1135, 21041, 1224, 1161, 1173, 1262, 4270, 185, 2114, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1463, 9204, 1238, 6324, 488, 132, 119, 488, 124, 130, 130, 124, 1147, 7360, 5520, 1147, 1135, 17220, 26076, 193, 245, 1210, 4413, 15155, 8179, 10935, 17032, 2127, 21044, 2424, 1147, 488, 124, 130, 131, 129, 119, 1355, 1135, 7227, 1161, 488, 124, 128, 1388, 5395, 1135, 7227, 1161, 488, 124, 131, 2043, 1135, 26799, 25373, 13574, 1386, 1895, 9055, 1589, 1163, 6250, 1135, 26017, 1161, 1135, 2769, 2171, 1457, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 11462, 1147, 1135, 8769, 190, 1161, 488, 124, 130, 132, 125, 1296, 1151, 18796, 1147, 1135, 26296, 23895, 2133, 1959, 3512, 1589, 1147, 1135, 8769, 190, 1161, 488, 124, 130, 132, 127, 1171, 488, 124, 130, 132, 128, 1147, 1110, 1978, 2617, 1161, 8324, 9055, 3392, 11417, 1226, 1449, 12689, 7552, 2090, 5052, 1792, 8769, 190, 1147, 1135, 4942, 26296, 1857, 1147, 1135, 2424, 1161, 30908, 1810, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 9553, 1163, 2315, 1147, 488, 124, 131, 123, 129, 121, 2133, 31157, 1147, 23625, 1171, 17080, 25455, 23619, 5308, 1836, 1125, 1158, 8649, 28022, 8509, 6129, 1135, 10764, 1121, 2071, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1463, 22951, 1557, 7197, 1132, 1125, 3577, 1171, 2161, 1580, 1161, 1135, 11801, 1171, 7829, 20838, 14545, 1161, 3281, 7422, 1147, 488, 124, 131, 124, 129, 121, 1459, 488, 124, 131, 124, 130, 119, 1386, 1463, 22951, 11981, 3339, 6970, 1161, 1135, 4966, 3276, 3656, 1161, 1204, 1929, 2653, 1388, 7914, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 8576, 5064, 1147, 6678, 488, 124, 131, 129, 123, 119, 1355, 1135, 7227, 1161, 488, 131, 132, 8155, 178, 4676, 3229, 7360, 5520, 1135, 18259, 1125, 16959, 1205, 1168, 9604, 1147, 1135, 2358, 2694, 2805, 120, 9435, 1890, 192, 10750, 1856, 19727, 2026, 1135, 16959, 1205, 1168, 9604, 21263, 1110, 3497, 1766, 2323, 4772, 1161, 1135, 14754, 1109, 9629, 7745, 3249, 5526, 184, 1399, 5348, 11275, 1233, 1603, 1109, 133, 7072, 4134, 1125, 1158, 17884, 1378, 133, 14124, 1215, 16467, 18702, 1219, 5258, 1125, 2962, 1207, 3403, 1139, 1473, 1313, 1440, 15830, 22586, 1198, 1544, 488, 126, 119, 7360, 5520, 488, 124, 131, 125, 132, 6034, 6911, 14520, 23159, 30206, 2943, 2314, 1161, 1135, 488, 124, 132, 1276, 14851, 2056, 2589, 1147, 6324, 488, 124, 130, 130, 124, 2056, 2589, 1147, 7360, 197, 1720, 1142, 20838, 5097, 1446, 7360, 197, 1763, 2295, 1147, 6678, 488, 124, 131, 129, 123, 1763, 2295, 1147, 23625, 6975, 17673, 1161, 1135, 11801, 1171, 7829, 20838, 14545, 1161, 3281, 7422, 1763, 2295, 1355, 1135, 7227, 1161, 488, 131, 132, 121, 32001, 1424, 32000, 20036, 4196, 1124, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 1175, 124, 130, 130, 124, 120, 124, 131, 129, 123, 116, 1299, 1189, 4610, 24610, 28756, 1374, 1125, 1271, 3765, 13976, 21044, 1167, 11894, 1125, 22501, 1118, 3366, 1527, 2985, 2969, 192, 1557, 7197, 1132, 1125, 3577, 2290, 1158, 19332, 1162, 14231, 1424, 145, 2312, 1227, 1557, 5257, 1125, 16959, 1205, 1168, 1157, 3378, 23366, 1227, 13811, 26344, 1177, 7656, 1167, 1125, 1158, 1218, 1883, 1206, 1125, 1173, 1262, 4270, 185, 2114, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1139, 6146, 1170, 488, 132, 2749, 488, 124, 130, 130, 124, 1188, 7360, 5520, 1313, 1207, 17220, 26076, 193, 245, 1210, 4413, 1548, 6018, 8179, 10935, 1835, 1317, 2424, 1227, 10973, 1186, 488, 124, 130, 131, 129, 119, 1188, 19910, 1125, 488, 124, 128, 8793, 2093, 9659, 244, 1125, 488, 124, 131, 2165, 4885, 1158, 23608, 9507, 5848, 1527, 8324, 24130, 1256, 12533, 21090, 1197, 2769, 2171, 1457, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1844, 1158, 9625, 1125, 488, 124, 130, 132, 125, 119, 1856, 3726, 1374, 1313, 1170, 5773, 1197, 6626, 11734, 1623, 1188, 14018, 121, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1844, 1207, 20565, 1125, 488, 124, 130, 132, 127, 1167, 488, 124, 130, 132, 128, 1313, 1189, 2132, 2617, 1304, 2035, 9055, 3392, 1188, 1158, 28594, 1125, 23879, 14691, 9770, 29459, 2136, 8826, 2905, 20565, 1313, 1158, 26296, 4054, 20869, 1317, 2424, 1125, 1282, 4303, 19005, 119, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1177, 2214, 1186, 2315, 1186, 488, 124, 131, 123, 129, 121, 1768, 2368, 3173, 5738, 1188, 23625, 1167, 16722, 25455, 23619, 5308, 1836, 1125, 1158, 8649, 1154, 14768, 23178, 1212, 1158, 19332, 2071, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1299, 12688, 1557, 7197, 1132, 1125, 3577, 1167, 1844, 14018, 1374, 1125, 29204, 13976, 21044, 1167, 11894, 1125, 22501, 14842, 1186, 488, 124, 131, 124, 129, 121, 1653, 488, 124, 131, 124, 130, 119, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1299, 12688, 31322, 1836, 4610, 1197, 6294, 1104, 21170, 1125, 1158, 1204, 1929, 2653, 121, 2093, 7914, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 1805, 1740, 172, 1186, 3201, 488, 124, 131, 129, 123, 119, 1188, 19910, 1125, 488, 131, 132, 2165, 8732, 1531, 19935, 1424, 216, 7360, 5520, 1158, 5820, 1125, 16959, 1205, 1168, 1157, 3378, 1313, 1170, 12311, 2358, 2694, 2805, 120, 9435, 1890, 192, 1466, 187, 1630, 1277, 1170, 11252, 1197, 16959, 1205, 1168, 1157, 3378, 4446, 3497, 1766, 3556, 1125, 1158, 7732, 14754, 1314, 11488, 1167, 5474, 11934, 3249, 106, 2605, 184, 1399, 5348, 11275, 1233, 1603, 1109, 1257, 7072, 4134, 1125, 1158, 17884, 1378, 133, 14124, 1215, 16467, 18702, 1219, 5258, 1125, 2962, 1207, 3403, 1139, 1473, 1313, 1440, 15830, 22586, 1198, 1544, 488, 126, 119, 7360, 5520, 488, 124, 131, 125, 132, 9994, 2624, 5825, 1424, 1424, 2093, 146, 1538, 8464, 2720, 1227, 26851, 6298, 8156, 1186, 2749, 488, 124, 130, 130, 124, 8156, 1188, 7360, 197, 1720, 1142, 4192, 1125, 7360, 197, 9317, 1186, 3201, 488, 124, 131, 129, 123, 9317, 1188, 23625, 19218, 1613, 1374, 1125, 14439, 21044, 1167, 11894, 1125, 22501, 14842, 9317, 1188, 488, 131, 132, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 4196, 1124, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 1175, 124, 130, 130, 124, 120, 124, 131, 129, 123, 116, 1299, 1189, 4610, 24610, 28756, 1374, 1125, 1271, 3765, 13976, 21044, 1167, 11894, 1125, 22501, 1118, 3366, 1527, 2985, 2969, 192, 1557, 7197, 1132, 1125, 3577, 2290, 1158, 19332, 1162, 14231, 1424, 145, 2312, 1227, 1557, 5257, 1125, 16959, 1205, 1168, 1157, 3378, 23366, 1227, 13811, 26344, 1177, 7656, 1167, 1125, 1158, 1218, 1883, 1206, 1125, 1173, 1262, 4270, 185, 2114, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1139, 6146, 1170, 488, 132, 2749, 488, 124, 130, 130, 124, 1188, 7360, 5520, 1313, 1207, 17220, 26076, 193, 245, 1210, 4413, 1548, 6018, 8179, 10935, 1835, 1317, 2424, 1227, 10973, 1186, 488, 124, 130, 131, 129, 119, 1188, 19910, 1125, 488, 124, 128, 8793, 2093, 9659, 244, 1125, 488, 124, 131, 2165, 4885, 1158, 23608, 9507, 5848, 1527, 8324, 24130, 1256, 12533, 21090, 1197, 2769, 2171, 1457, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1844, 1158, 9625, 1125, 488, 124, 130, 132, 125, 119, 1856, 3726, 1374, 1313, 1170, 5773, 1197, 6626, 11734, 1623, 1188, 14018, 121, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1844, 1207, 20565, 1125, 488, 124, 130, 132, 127, 1167, 488, 124, 130, 132, 128, 1313, 1189, 2132, 2617, 1304, 2035, 9055, 3392, 1188, 1158, 28594, 1125, 23879, 14691, 9770, 29459, 2136, 8826, 2905, 20565, 1313, 1158, 26296, 4054, 20869, 1317, 2424, 1125, 1282, 4303, 19005, 119, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1177, 2214, 1186, 2315, 1186, 488, 124, 131, 123, 129, 121, 1768, 2368, 3173, 5738, 1188, 23625, 1167, 16722, 25455, 23619, 5308, 1836, 1125, 1158, 8649, 1154, 14768, 23178, 1212, 1158, 19332, 2071, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1299, 12688, 1557, 7197, 1132, 1125, 3577, 1167, 1844, 14018, 1374, 1125, 29204, 13976, 21044, 1167, 11894, 1125, 22501, 14842, 1186, 488, 124, 131, 124, 129, 121, 1653, 488, 124, 131, 124, 130, 119, 8179, 10935, 1125, 16959, 1205, 1168, 9604, 1299, 12688, 31322, 1836, 4610, 1197, 6294, 1104, 21170, 1125, 1158, 1204, 1929, 2653, 121, 2093, 7914, 1328, 10935, 1125, 16959, 1205, 1168, 9604, 1805, 1740, 172, 1186, 3201, 488, 124, 131, 129, 123, 119, 1188, 19910, 1125, 488, 131, 132, 2165, 8732, 1531, 19935, 1424, 216, 7360, 5520, 1158, 5820, 1125, 16959, 1205, 1168, 1157, 3378, 1313, 1170, 12311, 2358, 2694, 2805, 120, 9435, 1890, 192, 1466, 187, 1630, 1277, 1170, 11252, 1197, 16959, 1205, 1168, 1157, 3378, 4446, 3497, 1766, 3556, 1125, 1158, 7732, 14754, 1314, 11488, 1167, 5474, 11934, 3249, 106, 2605, 184, 1399, 5348, 11275, 1233, 1603, 1109, 1257, 7072, 4134, 1125, 1158, 17884, 1378, 133, 14124, 1215, 16467, 18702, 1219, 5258, 1125, 2962, 1207, 3403, 1139, 1473, 1313, 1440, 15830, 22586, 1198, 1544, 488, 126, 119, 7360, 5520, 488, 124, 131, 125, 132, 9994, 2624, 5825, 1424, 1424, 2093, 146, 1538, 8464, 2720, 1227, 26851, 6298, 8156, 1186, 2749, 488, 124, 130, 130, 124, 8156, 1188, 7360, 197, 1720, 1142, 4192, 1125, 7360, 197, 9317, 1186, 3201, 488, 124, 131, 129, 123, 9317, 1188, 23625, 19218, 1613, 1374, 1125, 14439, 21044, 1167, 11894, 1125, 22501, 14842, 9317, 1188, 488, 131, 132, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12928, 1148, 1196, 5260, 153, 13211, 1299, 1189, 10977, 1793, 1125, 1218, 17354, 5252, 1186, 488, 124, 132, 129, 130, 1167, 1125, 3624, 1902, 12870, 3556, 14231, 1424, 6090, 189, 1178, 244, 1215, 16073, 8408, 1313, 1170, 4154, 1125, 1594, 5059, 1125, 3968, 1125, 5443, 6153, 1346, 1527, 24889, 21141, 1215, 9815, 3458, 21299, 1125, 7639, 1470, 1741, 7393, 1292, 4793, 116, 1256, 6292, 1571, 14635, 6243, 2007, 1125, 1281, 10436, 1107, 1300, 1197, 18767, 1856, 1173, 1205, 1142, 1362, 25723, 27808, 2567, 1125, 4110, 1186, 3812, 8580, 1176, 2323, 1188, 7555, 1227, 5632, 488, 124, 127, 7552, 2136, 1158, 5962, 3393, 2734, 1125, 16073, 146, 2765, 1527, 2985, 8807, 4568, 1215, 25931, 1748, 17354, 1357, 6484, 1125, 2435, 6113, 1197, 15155, 29954, 1285, 1197, 24494, 1309, 1158, 10651, 25510, 4271, 1186, 2567, 121, 1768, 24889, 21141, 1215, 4615, 4975, 1207, 488, 130, 7790, 21299, 1125, 1158, 4726, 25931, 11453, 4431, 488, 127, 119, 30364, 1571, 2722, 4500, 17943, 1141, 13760, 14301, 21299, 15935, 1318, 9175, 19387, 3365, 2985, 10502, 1125, 1158, 11897, 2059, 2974, 13848, 13380, 12386, 1125, 1325, 26136, 20005, 3366, 26944, 2750, 2069, 21299, 5125, 119, 1527, 2985, 14663, 244, 1300, 1207, 2482, 29646, 178, 2563, 2487, 1527, 7115, 172, 1189, 1400, 2956, 31637, 1378, 2121, 1527, 14759, 2368, 26663, 1197, 21299, 1304, 160, 183, 13380, 2271, 3046, 1108, 24009, 1234, 1215, 24375, 1119, 9103, 1659, 1723, 17844, 4716, 1913, 17869, 3392, 1527, 1299, 1170, 10977, 1793, 1125, 1158, 11897, 2059, 2974, 2682, 18679, 17684, 6832, 12354, 1124, 6657, 1215, 8713, 11330, 1124, 12258, 2674, 8040, 1561, 10174, 1469, 8713, 11330, 1124, 1313, 1158, 11897, 2059, 2974, 1266, 1320, 11323, 2757, 488, 125, 123, 124, 123, 8732, 1565, 1430, 30946, 1328, 8470, 2419, 1120, 2335, 1368, 2004, 1913, 1441, 9751, 1186, 2720, 1260, 25931, 11453, 4431, 488, 127, 1664, 124, 120, 130, 4698, 1124, 1586, 119, 488, 125, 123, 123, 127, 116, 4224, 8580, 1176, 2323, 1664, 124, 127, 120, 124, 130, 119, 488, 124, 132, 120, 125, 124, 119, 488, 125, 126, 3835, 2898, 8408, 116, 4224, 25723, 1310, 1664, 131, 3835, 2898, 8408, 116, 4224, 2482, 29646, 4285, 1664, 130, 120, 124, 123, 4698, 1124, 1586, 119, 488, 125, 123, 123, 128, 1260, 1173, 1205, 1142, 488, 1664, 129, 3835, 2898, 8408, 116, 4224, 13848, 13380, 12386, 1664, 124, 120, 125, 17440, 183, 13380, 25931, 119, 488, 125, 123, 123, 128, 116, 4224, 1325, 13767, 1314, 14247, 3318, 6302, 1119, 1664, 124, 120, 131, 4698, 1124, 1586, 119, 488, 125, 123, 123, 131, 1260, 1808, 1293, 8851, 1462, 1125, 1158, 29390, 1214, 1664, 124, 9572, 1124, 1586, 119, 488, 125, 123, 124, 127, 1718, 155, 3303, 106, 488, 125, 123, 123, 130, 1257, 8276, 5922, 11162, 1227, 6005, 5632, 1256, 17684, 6832, 3546, 124, 17877, 8713, 11330, 1124, 1718, 10853, 25194, 17935, 17994, 7364, 5825, 1424, 1424, 1424, 7649, 1125, 16572, 5260, 153, 13211, 106, 2093, 143, 1224, 1109, 1793, 24832, 1125, 11350, 29995, 1763, 1224, 1109, 1793, 24832, 1125, 31094, 3481, 1489, 24666, 1128, 1227, 3248, 5922, 11162, 1227, 6005, 15956, 1362, 1125, 1158, 6742, 7635, 8156, 1186, 488, 124, 132, 129, 130, 8156, 1188, 1306, 3829, 2012, 6229, 8040, 26076, 12945, 1206, 116, 32001, 1424, 32000, 20036, 1628, 1148, 1196, 5260, 153, 13211, 1239, 1110, 31094, 3481, 6153, 119, 9204, 1147, 488, 124, 132, 129, 130, 1171, 1161, 14742, 3781, 1406, 9663, 180, 11114, 13935, 189, 1635, 1156, 1449, 16073, 8408, 1296, 1910, 1161, 1789, 2575, 1163, 3627, 1624, 6153, 1285, 1386, 8492, 1449, 9835, 1957, 10497, 4793, 6850, 1163, 3493, 8048, 16955, 1163, 3139, 1110, 3756, 1238, 6446, 2141, 1173, 1205, 1142, 1329, 25723, 27808, 2979, 7033, 2060, 8580, 1176, 2323, 1446, 6215, 488, 124, 127, 1238, 5381, 7552, 2090, 1135, 8617, 13093, 7910, 1161, 16073, 146, 2765, 1386, 1463, 23067, 1449, 25931, 1748, 17354, 2000, 3062, 2667, 1704, 1161, 1135, 15155, 29954, 1285, 24494, 1302, 1135, 4571, 7563, 1163, 15492, 121, 2133, 5970, 1449, 22214, 1135, 1940, 488, 130, 6850, 1161, 1135, 25931, 11453, 4431, 488, 127, 28599, 14874, 1163, 1135, 17943, 6338, 14560, 121, 7013, 6181, 13456, 2025, 2536, 1110, 3945, 1302, 1386, 1463, 5222, 1156, 1324, 1135, 11897, 2059, 5319, 13848, 13380, 12386, 1449, 1325, 26136, 20005, 3366, 27577, 2470, 2155, 2197, 6181, 1120, 1259, 1346, 1386, 1463, 11085, 1163, 1135, 2482, 29646, 178, 2563, 1226, 1758, 1386, 2876, 1151, 1400, 2956, 31637, 5653, 1386, 1463, 16638, 1163, 1870, 1238, 1135, 13848, 13380, 2271, 3046, 1108, 6181, 13456, 24009, 1156, 1449, 24375, 1119, 9103, 1659, 1663, 1296, 1799, 2025, 15024, 2754, 1386, 7905, 1135, 6153, 1226, 1135, 3571, 11897, 2059, 5319, 17684, 6832, 1114, 1607, 16684, 1449, 8713, 11330, 1124, 1388, 3780, 17583, 1156, 1765, 10174, 1324, 8713, 11330, 1124, 1147, 1135, 11897, 2059, 5319, 1266, 1320, 11323, 3976, 488, 125, 123, 124, 123, 8732, 1565, 1430, 6356, 2052, 1328, 11179, 1449, 1368, 1537, 2023, 9104, 1589, 2127, 9197, 9838, 1124, 1586, 11453, 4431, 488, 127, 1664, 124, 120, 130, 4698, 1124, 1586, 119, 488, 125, 123, 123, 127, 116, 1368, 1720, 1107, 1176, 2323, 1664, 124, 127, 120, 124, 130, 119, 488, 124, 132, 120, 125, 124, 119, 488, 125, 126, 3835, 2898, 8408, 116, 1368, 1720, 1591, 1310, 1664, 131, 3835, 2898, 8408, 116, 1368, 9805, 29646, 4285, 1664, 130, 120, 124, 123, 4698, 1124, 1586, 119, 488, 125, 123, 123, 128, 9004, 1205, 1142, 1664, 129, 3835, 2898, 8408, 116, 4224, 160, 183, 13380, 12386, 1664, 124, 120, 125, 17440, 183, 13380, 25931, 119, 488, 125, 123, 123, 128, 116, 4224, 162, 13767, 1314, 14247, 3318, 6302, 1119, 1664, 124, 120, 131, 4698, 1124, 1586, 119, 488, 125, 123, 123, 131, 1260, 19361, 8851, 1220, 1161, 1135, 23947, 1664, 124, 4698, 1124, 1586, 119, 488, 125, 123, 124, 127, 1718, 140, 2405, 2523, 125, 123, 123, 130, 133, 5922, 11162, 10812, 1226, 10347, 27502, 15969, 1277, 1226, 17684, 6832, 1664, 124, 13298, 8713, 11330, 1124, 1718, 1891, 9520, 1194, 3652, 1274, 1989, 12323, 4807, 11114, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 1161, 16572, 5260, 153, 13211, 12498, 1119, 1217, 2323, 31094, 3481, 6153, 1505, 1119, 1217, 2323, 31094, 3481, 6153, 5486, 8614, 1161, 1135, 5922, 11162, 10812, 1226, 10347, 27502, 15969, 1277, 1329, 16788, 2056, 2589, 1147, 488, 124, 132, 129, 130, 2056, 2589, 1147, 1306, 3829, 2012, 119, 8929, 172, 2941, 5283, 2036, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 1148, 1196, 5260, 153, 13211, 1239, 1110, 31094, 3481, 6153, 119, 9204, 1147, 488, 124, 132, 129, 130, 1171, 1161, 14742, 3781, 1406, 9663, 180, 11114, 13935, 189, 1635, 1156, 1449, 16073, 8408, 1296, 1910, 1161, 1789, 2575, 1163, 3627, 1624, 6153, 1285, 1386, 8492, 1449, 9835, 1957, 10497, 4793, 6850, 1163, 3493, 8048, 16955, 1163, 3139, 1110, 3756, 1238, 6446, 2141, 1173, 1205, 1142, 1329, 25723, 27808, 2979, 7033, 2060, 8580, 1176, 2323, 1446, 6215, 488, 124, 127, 1238, 5381, 7552, 2090, 1135, 8617, 13093, 7910, 1161, 16073, 146, 2765, 1386, 1463, 23067, 1449, 25931, 1748, 17354, 2000, 3062, 2667, 1704, 1161, 1135, 15155, 29954, 1285, 24494, 1302, 1135, 4571, 7563, 1163, 15492, 121, 2133, 5970, 1449, 22214, 1135, 1940, 488, 130, 6850, 1161, 1135, 25931, 11453, 4431, 488, 127, 28599, 14874, 1163, 1135, 17943, 6338, 14560, 121, 7013, 6181, 13456, 2025, 2536, 1110, 3945, 1302, 1386, 1463, 5222, 1156, 1324, 1135, 11897, 2059, 5319, 13848, 13380, 12386, 1449, 1325, 26136, 20005, 3366, 27577, 2470, 2155, 2197, 6181, 1120, 1259, 1346, 1386, 1463, 11085, 1163, 1135, 2482, 29646, 178, 2563, 1226, 1758, 1386, 2876, 1151, 1400, 2956, 31637, 5653, 1386, 1463, 16638, 1163, 1870, 1238, 1135, 13848, 13380, 2271, 3046, 1108, 6181, 13456, 24009, 1156, 1449, 24375, 1119, 9103, 1659, 1663, 1296, 1799, 2025, 15024, 2754, 1386, 7905, 1135, 6153, 1226, 1135, 3571, 11897, 2059, 5319, 17684, 6832, 1114, 1607, 16684, 1449, 8713, 11330, 1124, 1388, 3780, 17583, 1156, 1765, 10174, 1324, 8713, 11330, 1124, 1147, 1135, 11897, 2059, 5319, 1266, 1320, 11323, 3976, 488, 125, 123, 124, 123, 8732, 1565, 1430, 6356, 2052, 1328, 11179, 1449, 1368, 1537, 2023, 9104, 1589, 2127, 9197, 9838, 1124, 1586, 11453, 4431, 488, 127, 1664, 124, 120, 130, 4698, 1124, 1586, 119, 488, 125, 123, 123, 127, 116, 1368, 1720, 1107, 1176, 2323, 1664, 124, 127, 120, 124, 130, 119, 488, 124, 132, 120, 125, 124, 119, 488, 125, 126, 3835, 2898, 8408, 116, 1368, 1720, 1591, 1310, 1664, 131, 3835, 2898, 8408, 116, 1368, 9805, 29646, 4285, 1664, 130, 120, 124, 123, 4698, 1124, 1586, 119, 488, 125, 123, 123, 128, 9004, 1205, 1142, 1664, 129, 3835, 2898, 8408, 116, 4224, 160, 183, 13380, 12386, 1664, 124, 120, 125, 17440, 183, 13380, 25931, 119, 488, 125, 123, 123, 128, 116, 4224, 162, 13767, 1314, 14247, 3318, 6302, 1119, 1664, 124, 120, 131, 4698, 1124, 1586, 119, 488, 125, 123, 123, 131, 1260, 19361, 8851, 1220, 1161, 1135, 23947, 1664, 124, 4698, 1124, 1586, 119, 488, 125, 123, 124, 127, 1718, 140, 2405, 2523, 125, 123, 123, 130, 133, 5922, 11162, 10812, 1226, 10347, 27502, 15969, 1277, 1226, 17684, 6832, 1664, 124, 13298, 8713, 11330, 1124, 1718, 1891, 9520, 1194, 3652, 1274, 1989, 12323, 4807, 11114, 1194, 26722, 4672, 2523, 7089, 11076, 4877, 1161, 16572, 5260, 153, 13211, 12498, 1119, 1217, 2323, 31094, 3481, 6153, 1505, 1119, 1217, 2323, 31094, 3481, 6153, 5486, 8614, 1161, 1135, 5922, 11162, 10812, 1226, 10347, 27502, 15969, 1277, 1329, 16788, 2056, 2589, 1147, 488, 124, 132, 129, 130, 2056, 2589, 1147, 1306, 3829, 2012, 119, 8929, 172, 2941, 5283, 2036, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 22745, 197, 1493, 1897, 182, 11089, 1259, 1770, 172, 31617, 1333, 1198, 3685, 1145, 21691, 5877, 119, 4701, 1522, 11336, 244, 1186, 17397, 1493, 1198, 3685, 1145, 21691, 5877, 1362, 17397, 1493, 1897, 182, 1198, 3685, 1145, 21691, 5877, 119, 2445, 7962, 4160, 2757, 1170, 15393, 1186, 17397, 1493, 1198, 3685, 1145, 173, 5363, 5877, 119, 5252, 1170, 488, 488, 125, 123, 2822, 488, 124, 132, 132, 127, 1188, 11673, 1186, 9231, 197, 27207, 182, 1267, 3100, 1299, 1189, 4981, 24981, 4578, 1362, 197, 1897, 182, 1357, 28160, 1317, 8536, 1125, 8007, 8677, 1317, 15003, 1337, 1569, 1121, 1198, 1519, 182, 1129, 14231, 1424, 17696, 10964, 1125, 11673, 119, 1313, 1158, 22119, 1125, 11868, 15080, 1810, 1198, 3685, 1145, 21691, 5877, 8718, 1561, 9245, 1469, 1170, 13363, 173, 2194, 1121, 18023, 1475, 3100, 1189, 5878, 1125, 1561, 10660, 23082, 5907, 1548, 488, 125, 128, 2578, 488, 125, 123, 124, 125, 119, 1527, 1299, 2969, 192, 1227, 4779, 1125, 3968, 1227, 5878, 1256, 12533, 10796, 3453, 121, 1548, 488, 125, 123, 2749, 488, 125, 123, 124, 126, 119, 1313, 1189, 3904, 1675, 1926, 2714, 1170, 13934, 196, 1810, 1527, 1844, 1909, 28407, 1469, 10796, 5277, 1197, 2864, 1125, 488, 125, 126, 2165, 3042, 3365, 1299, 2352, 2344, 4160, 1256, 1158, 6666, 121, 1548, 488, 125, 131, 2798, 2419, 2851, 1527, 6252, 1594, 3151, 1663, 1469, 10796, 2714, 1158, 3968, 488, 3841, 1298, 2596, 9997, 1189, 1996, 1408, 2335, 2879, 1408, 14429, 6763, 1136, 1518, 1301, 1217, 28238, 5266, 12243, 1125, 14097, 11149, 27207, 182, 1267, 3100, 2856, 1188, 1198, 3685, 1145, 21691, 5877, 1125, 1982, 1909, 28407, 1469, 10796, 5277, 26639, 1177, 2214, 1186, 17647, 1125, 1321, 1141, 1136, 1897, 182, 1671, 2012, 2393, 1456, 1487, 5877, 1188, 1158, 488, 129, 126, 176, 10113, 121, 1653, 2578, 488, 125, 123, 124, 131, 119, 1306, 244, 1397, 1121, 1165, 260, 1403, 14794, 1198, 3685, 1145, 21691, 5877, 1188, 10848, 1188, 1189, 3577, 1304, 28892, 1125, 10796, 5277, 1186, 6801, 1214, 9401, 1186, 28705, 1125, 1158, 11609, 1304, 4282, 4654, 1768, 1299, 28588, 1256, 10848, 1188, 1158, 15142, 1357, 1110, 3601, 1186, 2749, 488, 125, 123, 124, 132, 31070, 4319, 1125, 9911, 488, 125, 123, 124, 132, 119, 1170, 10952, 1299, 1317, 4779, 2335, 17813, 1366, 5958, 1189, 18343, 13867, 1317, 15003, 1337, 1569, 1121, 1198, 1519, 182, 4364, 6982, 2782, 16585, 1189, 5234, 1469, 1170, 5878, 1125, 1158, 6751, 3701, 1198, 3685, 1145, 21691, 5877, 13300, 1188, 1189, 3577, 1227, 13363, 173, 2194, 4834, 1440, 1357, 23541, 1318, 29171, 21364, 1125, 1158, 1910, 1227, 15003, 1337, 1569, 7070, 1548, 488, 124, 124, 18802, 20575, 1170, 10952, 1299, 8863, 3925, 7328, 1158, 12494, 10012, 1125, 13867, 1256, 2782, 16585, 1189, 5234, 1469, 2069, 6428, 1457, 20702, 4634, 1227, 5097, 19281, 1234, 1313, 17569, 1369, 7810, 29876, 2445, 1197, 8863, 6272, 13432, 4593, 2879, 1167, 2069, 8793, 1768, 16773, 12048, 1170, 15003, 1337, 1569, 1121, 1256, 1158, 6586, 488, 125, 123, 125, 124, 25886, 4096, 2093, 143, 1608, 1774, 3591, 1188, 2574, 1170, 488, 124, 124, 3141, 9323, 1167, 16828, 5825, 28912, 2836, 24981, 4578, 1362, 197, 1897, 182, 8156, 1170, 488, 125, 123, 2822, 488, 124, 132, 132, 127, 8156, 1186, 9231, 197, 27207, 182, 9090, 14601, 1227, 13363, 173, 2194, 1121, 18023, 1475, 1119, 14601, 1227, 15003, 1337, 1569, 1121, 1198, 1519, 182, 1129, 32001, 1424, 32000, 20036, 1530, 197, 1493, 1897, 182, 11089, 1259, 1770, 172, 31617, 1333, 1198, 3685, 1145, 21691, 5877, 119, 5298, 1522, 1829, 6221, 1589, 1296, 17397, 1493, 1198, 3685, 1145, 21691, 5877, 1329, 17397, 1493, 1897, 182, 1198, 3685, 1145, 21691, 5877, 119, 1959, 11059, 1499, 13448, 1296, 17397, 1493, 1198, 3685, 1145, 173, 5363, 5877, 2470, 1135, 8069, 3100, 1463, 9204, 1238, 7357, 488, 125, 123, 119, 488, 124, 132, 132, 127, 1147, 11673, 119, 1405, 197, 1897, 182, 1267, 6871, 2133, 1239, 1151, 1405, 197, 1897, 182, 4578, 7711, 1107, 2000, 15751, 1296, 1110, 8677, 7515, 177, 1733, 1596, 1226, 15003, 1337, 1569, 1121, 1198, 2215, 182, 1129, 9663, 180, 11114, 3052, 1738, 1109, 1641, 1446, 11673, 1147, 1135, 11868, 1681, 4436, 3728, 15151, 1198, 3685, 1145, 21691, 5877, 5970, 1765, 9932, 1324, 13363, 173, 2194, 1121, 18023, 1475, 3100, 1110, 5878, 1147, 1765, 3489, 10660, 121, 2502, 7286, 488, 125, 128, 119, 488, 125, 123, 124, 125, 119, 1386, 1463, 10901, 1427, 1446, 1135, 5878, 1361, 15681, 3390, 1163, 1135, 1940, 26964, 2502, 6324, 488, 125, 123, 119, 488, 125, 123, 124, 126, 119, 1386, 3062, 1765, 18202, 1324, 1135, 3781, 2670, 120, 125, 126, 3390, 1147, 1110, 19743, 3904, 4064, 13934, 196, 1810, 2468, 1386, 1463, 1110, 4300, 7526, 2502, 6384, 488, 125, 131, 1161, 1135, 2994, 8641, 1386, 22568, 1765, 1940, 8603, 1226, 1135, 3390, 4064, 1350, 29330, 9147, 2060, 1110, 3677, 18775, 1386, 3062, 1765, 12546, 3781, 3390, 18202, 2670, 8560, 6763, 1136, 1518, 1301, 1217, 28238, 7822, 1238, 1296, 1110, 4866, 9136, 1226, 1321, 1141, 1136, 1897, 182, 1671, 2012, 2393, 1456, 1487, 5877, 1147, 1135, 488, 129, 126, 9710, 10113, 121, 1459, 7286, 488, 125, 123, 124, 131, 119, 1198, 3685, 1145, 21691, 5877, 1463, 22130, 1449, 1306, 244, 1397, 1121, 1165, 260, 1403, 1163, 6250, 1110, 3781, 3390, 6788, 3577, 1147, 13420, 1147, 27714, 1226, 1135, 22583, 13121, 121, 2133, 1463, 8849, 1163, 19646, 1147, 1135, 12621, 7368, 1147, 6324, 488, 125, 123, 124, 132, 6649, 5756, 488, 125, 123, 124, 132, 119, 1198, 3685, 1145, 21691, 5877, 1463, 9492, 1147, 1110, 17813, 1132, 11947, 1110, 7995, 10514, 1163, 15003, 1337, 1569, 1121, 1198, 2215, 182, 4364, 6226, 29767, 1110, 6013, 1324, 1135, 5564, 5878, 119, 1386, 14010, 1110, 6788, 3577, 1324, 13363, 173, 2194, 4834, 8265, 1163, 1151, 6755, 27178, 1446, 15003, 1337, 1569, 7070, 2502, 7871, 488, 124, 124, 119, 1135, 7402, 1463, 18115, 1156, 4945, 1135, 3314, 10514, 7021, 1226, 29767, 31563, 1324, 2197, 3390, 1297, 29347, 1132, 7436, 5641, 9492, 1147, 1135, 6215, 1959, 6971, 8863, 6272, 31292, 1446, 4593, 6528, 1163, 2197, 10805, 2133, 14969, 14010, 15003, 1337, 1569, 1121, 1226, 1135, 488, 125, 123, 125, 124, 6062, 8273, 1532, 1107, 5532, 1573, 11574, 1238, 7871, 488, 124, 124, 9323, 1171, 22874, 1194, 26722, 14520, 1194, 160, 197, 1897, 182, 4578, 7711, 1107, 2056, 2589, 1238, 7357, 488, 125, 123, 119, 488, 124, 132, 132, 127, 2056, 2589, 1147, 1405, 197, 1897, 182, 9090, 13164, 1107, 7402, 1161, 13363, 173, 2194, 1121, 18023, 1475, 1119, 1505, 2436, 7402, 1161, 15003, 1337, 1569, 1121, 1198, 2215, 182, 4364, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 197, 1493, 1897, 182, 11089, 1259, 1770, 172, 31617, 1333, 1198, 3685, 1145, 21691, 5877, 119, 5298, 1522, 1829, 6221, 1589, 1296, 17397, 1493, 1198, 3685, 1145, 21691, 5877, 1329, 17397, 1493, 1897, 182, 1198, 3685, 1145, 21691, 5877, 119, 1959, 11059, 1499, 13448, 1296, 17397, 1493, 1198, 3685, 1145, 173, 5363, 5877, 2470, 1135, 8069, 3100, 1463, 9204, 1238, 7357, 488, 125, 123, 119, 488, 124, 132, 132, 127, 1147, 11673, 119, 1405, 197, 1897, 182, 1267, 6871, 2133, 1239, 1151, 1405, 197, 1897, 182, 4578, 7711, 1107, 2000, 15751, 1296, 1110, 8677, 7515, 177, 1733, 1596, 1226, 15003, 1337, 1569, 1121, 1198, 2215, 182, 1129, 9663, 180, 11114, 3052, 1738, 1109, 1641, 1446, 11673, 1147, 1135, 11868, 1681, 4436, 3728, 15151, 1198, 3685, 1145, 21691, 5877, 5970, 1765, 9932, 1324, 13363, 173, 2194, 1121, 18023, 1475, 3100, 1110, 5878, 1147, 1765, 3489, 10660, 121, 2502, 7286, 488, 125, 128, 119, 488, 125, 123, 124, 125, 119, 1386, 1463, 10901, 1427, 1446, 1135, 5878, 1361, 15681, 3390, 1163, 1135, 1940, 26964, 2502, 6324, 488, 125, 123, 119, 488, 125, 123, 124, 126, 119, 1386, 3062, 1765, 18202, 1324, 1135, 3781, 2670, 120, 125, 126, 3390, 1147, 1110, 19743, 3904, 4064, 13934, 196, 1810, 2468, 1386, 1463, 1110, 4300, 7526, 2502, 6384, 488, 125, 131, 1161, 1135, 2994, 8641, 1386, 22568, 1765, 1940, 8603, 1226, 1135, 3390, 4064, 1350, 29330, 9147, 2060, 1110, 3677, 18775, 1386, 3062, 1765, 12546, 3781, 3390, 18202, 2670, 8560, 6763, 1136, 1518, 1301, 1217, 28238, 7822, 1238, 1296, 1110, 4866, 9136, 1226, 1321, 1141, 1136, 1897, 182, 1671, 2012, 2393, 1456, 1487, 5877, 1147, 1135, 488, 129, 126, 9710, 10113, 121, 1459, 7286, 488, 125, 123, 124, 131, 119, 1198, 3685, 1145, 21691, 5877, 1463, 22130, 1449, 1306, 244, 1397, 1121, 1165, 260, 1403, 1163, 6250, 1110, 3781, 3390, 6788, 3577, 1147, 13420, 1147, 27714, 1226, 1135, 22583, 13121, 121, 2133, 1463, 8849, 1163, 19646, 1147, 1135, 12621, 7368, 1147, 6324, 488, 125, 123, 124, 132, 6649, 5756, 488, 125, 123, 124, 132, 119, 1198, 3685, 1145, 21691, 5877, 1463, 9492, 1147, 1110, 17813, 1132, 11947, 1110, 7995, 10514, 1163, 15003, 1337, 1569, 1121, 1198, 2215, 182, 4364, 6226, 29767, 1110, 6013, 1324, 1135, 5564, 5878, 119, 1386, 14010, 1110, 6788, 3577, 1324, 13363, 173, 2194, 4834, 8265, 1163, 1151, 6755, 27178, 1446, 15003, 1337, 1569, 7070, 2502, 7871, 488, 124, 124, 119, 1135, 7402, 1463, 18115, 1156, 4945, 1135, 3314, 10514, 7021, 1226, 29767, 31563, 1324, 2197, 3390, 1297, 29347, 1132, 7436, 5641, 9492, 1147, 1135, 6215, 1959, 6971, 8863, 6272, 31292, 1446, 4593, 6528, 1163, 2197, 10805, 2133, 14969, 14010, 15003, 1337, 1569, 1121, 1226, 1135, 488, 125, 123, 125, 124, 6062, 8273, 1532, 1107, 5532, 1573, 11574, 1238, 7871, 488, 124, 124, 9323, 1171, 22874, 1194, 26722, 14520, 1194, 160, 197, 1897, 182, 4578, 7711, 1107, 2056, 2589, 1238, 7357, 488, 125, 123, 119, 488, 124, 132, 132, 127, 2056, 2589, 1147, 1405, 197, 1897, 182, 9090, 13164, 1107, 7402, 1161, 13363, 173, 2194, 1121, 18023, 1475, 1119, 1505, 2436, 7402, 1161, 15003, 1337, 1569, 1121, 1198, 2215, 182, 4364, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 17578, 1132, 28898, 5868, 2320, 1238, 5696, 488, 125, 123, 1171, 488, 125, 130, 121, 1459, 13457, 3441, 172, 255, 6664, 1135, 3936, 4817, 1149, 13539, 1355, 1135, 15867, 1132, 3772, 1239, 14024, 7837, 2884, 13073, 21089, 27657, 1175, 125, 124, 1656, 1161, 488, 126, 125, 1576, 1410, 11292, 1376, 1161, 3698, 189, 11700, 2992, 1467, 5264, 23531, 13557, 176, 4019, 12387, 3551, 1925, 1171, 9292, 3363, 1148, 1537, 19385, 1427, 1163, 1135, 20417, 2884, 1252, 1312, 1245, 17116, 3046, 1174, 1467, 1602, 11085, 1163, 1135, 3936, 1388, 5395, 1135, 2283, 1161, 2484, 28898, 1238, 5696, 488, 125, 130, 119, 1135, 3056, 1267, 26261, 21043, 2251, 10288, 1463, 1169, 9718, 4625, 1226, 1110, 12223, 6326, 1296, 3228, 1161, 1135, 6970, 23578, 121, 32001, 1424, 32000, 20036, 2608, 13118, 17578, 2137, 2004, 4795, 3601, 1207, 488, 125, 123, 1167, 488, 125, 130, 1557, 1297, 1653, 13457, 3441, 172, 9007, 1158, 10597, 5927, 1366, 1125, 8632, 2368, 3478, 2845, 1667, 1186, 24219, 14336, 28854, 1175, 125, 124, 1300, 488, 126, 125, 1576, 1808, 11292, 1376, 1304, 4303, 189, 11700, 2992, 1467, 5264, 23531, 13557, 176, 4019, 12387, 3551, 1925, 1167, 9292, 3363, 1148, 2306, 2652, 1129, 1188, 2143, 6196, 11781, 1309, 3977, 1125, 1252, 1312, 1245, 17116, 3046, 1174, 1467, 4212, 1188, 8632, 27404, 25994, 1125, 2008, 31228, 1285, 1170, 488, 125, 130, 1557, 1285, 1170, 30591, 26261, 21043, 2251, 10288, 1299, 1338, 1819, 192, 1256, 1189, 16934, 13838, 1188, 1158, 6425, 1227, 5809, 3188, 3850, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2608, 13118, 17578, 2137, 2004, 4795, 3601, 1207, 488, 125, 123, 1167, 488, 125, 130, 1557, 1297, 1653, 13457, 3441, 172, 9007, 1158, 10597, 5927, 1366, 1125, 8632, 2368, 3478, 2845, 1667, 1186, 24219, 14336, 28854, 1175, 125, 124, 1300, 488, 126, 125, 1576, 1808, 11292, 1376, 1304, 4303, 189, 11700, 2992, 1467, 5264, 23531, 13557, 176, 4019, 12387, 3551, 1925, 1167, 9292, 3363, 1148, 2306, 2652, 1129, 1188, 2143, 6196, 11781, 1309, 3977, 1125, 1252, 1312, 1245, 17116, 3046, 1174, 1467, 4212, 1188, 8632, 27404, 25994, 1125, 2008, 31228, 1285, 1170, 488, 125, 130, 1557, 1285, 1170, 30591, 26261, 21043, 2251, 10288, 1299, 1338, 1819, 192, 1256, 1189, 16934, 13838, 1188, 1158, 6425, 1227, 5809, 3188, 3850, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 6567, 1107, 1227, 11639, 1125, 1325, 1119, 1539, 1558, 1175, 818, 876, 116, 1299, 1318, 24507, 28133, 3591, 1186, 2320, 1188, 13366, 16647, 121, 1459, 11397, 12228, 1170, 488, 1859, 1594, 10163, 22374, 2069, 31857, 1768, 1299, 9601, 1215, 1170, 12033, 4309, 1197, 18297, 1125, 3360, 1123, 4521, 1227, 15475, 1325, 1119, 1539, 1558, 13342, 1215, 1170, 488, 1256, 21169, 1158, 20548, 13400, 1167, 1170, 3838, 11941, 7623, 11349, 1227, 10750, 1125, 1325, 1119, 1539, 1558, 27404, 21110, 2981, 7615, 1170, 6567, 1107, 9016, 488, 124, 128, 2118, 1346, 2487, 1158, 1859, 1170, 12685, 1125, 20774, 5387, 1125, 1325, 1119, 1539, 15862, 1158, 18149, 18023, 1518, 4830, 1167, 1170, 12311, 1125, 1939, 1653, 488, 125, 123, 123, 132, 119, 2391, 1227, 21245, 1227, 6567, 1659, 10924, 1125, 2008, 18682, 6096, 1186, 3285, 1125, 19006, 4855, 1188, 1197, 6943, 4643, 1234, 1215, 23147, 1125, 23912, 27271, 1167, 1170, 8899, 1125, 15574, 2121, 1256, 1318, 1622, 4521, 12625, 1186, 488, 1939, 19321, 1440, 9058, 1207, 10428, 28661, 23393, 1125, 6344, 11225, 11941, 1136, 2137, 5825, 1197, 4465, 1300, 1440, 6567, 1107, 9994, 2038, 1197, 4465, 1548, 6567, 1107, 1299, 3754, 4160, 1186, 2069, 5737, 1257, 1170, 6567, 1107, 1227, 11639, 11941, 7623, 1167, 1170, 6567, 1107, 1227, 11639, 16191, 7745, 1655, 1107, 1227, 11639, 11941, 7623, 1859, 1111, 1510, 1158, 192, 6256, 1118, 2635, 1496, 1571, 488, 124, 458, 124, 124, 119, 1204, 1390, 1696, 10273, 1167, 488, 127, 458, 124, 125, 10175, 7845, 10273, 9756, 2714, 1158, 14235, 2244, 1203, 1679, 1167, 1207, 16309, 1227, 7511, 1167, 1125, 1158, 2958, 1123, 13873, 1125, 13366, 16647, 119, 9005, 3247, 1125, 1282, 119, 488, 125, 129, 129, 18637, 1361, 10569, 8961, 119, 3838, 11941, 7623, 1233, 1334, 16965, 1918, 3134, 1125, 1325, 1119, 1539, 15862, 488, 125, 129, 127, 18637, 1361, 10569, 8961, 1167, 1859, 3838, 1606, 1113, 2558, 16081, 1524, 1859, 488, 130, 125, 120, 130, 127, 140, 22946, 1266, 1770, 2194, 1200, 2988, 11495, 18699, 119, 488, 125, 458, 127, 1306, 1149, 1325, 1119, 10273, 488, 124, 131, 129, 458, 124, 132, 123, 18637, 1361, 10569, 8961, 119, 1111, 1510, 1158, 192, 1606, 1410, 1202, 15210, 3133, 488, 129, 123, 458, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 1350, 10927, 2485, 3955, 488, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 488, 124, 131, 2460, 1461, 24773, 1111, 1510, 2992, 1334, 18149, 18023, 28950, 2086, 488, 128, 128, 2460, 1461, 10273, 1859, 2487, 1170, 488, 126, 124, 1325, 1149, 1252, 3513, 10273, 11934, 1655, 1107, 1227, 11639, 16191, 1859, 488, 125, 1200, 3513, 1238, 24773, 5639, 1125, 3871, 1216, 2035, 1348, 13052, 1125, 22946, 1266, 1770, 2194, 1200, 2988, 1859, 488, 125, 125, 124, 18637, 1361, 10569, 8961, 1918, 3134, 10193, 1125, 23447, 1671, 192, 1108, 10273, 1167, 16073, 10273, 1859, 488, 124, 125, 132, 458, 124, 126, 124, 18637, 1361, 10569, 8961, 1918, 3134, 10193, 1125, 1293, 1942, 1105, 10273, 13459, 2072, 1173, 1655, 1201, 1227, 11639, 1188, 13366, 16647, 9323, 1167, 16828, 5825, 1350, 162, 13720, 2058, 142, 7649, 9229, 1227, 6567, 1107, 1227, 11639, 1125, 1325, 1119, 1539, 1558, 7649, 9229, 1227, 12033, 4309, 1197, 18297, 1125, 3360, 1123, 4521, 1227, 15475, 1325, 1119, 1539, 1558, 1194, 8925, 13122, 1227, 11639, 1188, 13366, 16647, 3335, 2070, 1167, 7520, 5700, 1188, 13366, 16647, 16617, 1126, 1125, 13366, 16647, 32001, 1424, 32000, 20036, 3616, 1325, 1119, 1539, 1558, 31051, 29114, 1239, 1110, 3543, 1267, 21669, 1149, 5646, 11219, 1147, 13366, 16647, 121, 1459, 11397, 1136, 1589, 1238, 1509, 2663, 2371, 1135, 19337, 7175, 2197, 7456, 1163, 7214, 121, 1988, 1239, 5772, 1449, 1135, 4669, 19807, 1161, 1135, 14247, 1325, 1119, 1539, 1558, 9819, 2531, 3520, 23907, 3825, 11219, 1163, 15492, 1135, 20548, 21915, 1171, 3447, 11941, 7623, 3838, 1161, 1135, 1325, 1119, 1539, 1558, 10750, 8273, 2436, 3733, 1135, 19337, 7245, 488, 124, 128, 2118, 1346, 3813, 1135, 13105, 31947, 1135, 6459, 1325, 1119, 1539, 1558, 8419, 3381, 2064, 18023, 1518, 4830, 6522, 1154, 7467, 1171, 1135, 29081, 2460, 1149, 21908, 121, 1459, 488, 125, 123, 123, 132, 119, 1355, 1135, 11855, 1161, 1135, 1441, 6152, 16606, 1161, 2484, 9000, 2025, 2670, 13145, 2377, 4078, 2488, 10615, 22255, 1449, 1135, 25549, 7162, 1822, 1132, 28326, 1171, 1135, 12279, 15350, 119, 1324, 25204, 5978, 1147, 1509, 2663, 3882, 14113, 1413, 6605, 15846, 2592, 21489, 2717, 14313, 11941, 7623, 6547, 1161, 1135, 4465, 1238, 1413, 19337, 1388, 2474, 1161, 4465, 1410, 19337, 1239, 21867, 2127, 2197, 7780, 133, 1135, 29232, 1363, 7623, 31051, 29114, 1171, 1135, 1165, 14803, 31051, 29114, 1388, 15779, 1123, 1363, 7623, 31051, 29114, 13105, 31947, 1111, 1510, 1158, 192, 1175, 2393, 6774, 1496, 1355, 488, 124, 458, 124, 124, 1204, 1390, 1696, 10273, 1171, 488, 127, 458, 124, 125, 10175, 7845, 10273, 13366, 16647, 1198, 1287, 2244, 1203, 1180, 3366, 1539, 7965, 1171, 22787, 28248, 4580, 9756, 6540, 1296, 1910, 1161, 1135, 13105, 31947, 488, 125, 129, 129, 18637, 1361, 10569, 8961, 119, 1233, 1334, 16965, 11941, 7623, 3838, 1325, 1119, 1539, 1558, 8419, 119, 488, 125, 129, 127, 18637, 1361, 10569, 8961, 1171, 488, 128, 1325, 1119, 1539, 1558, 1293, 1301, 10569, 119, 15172, 4975, 109, 3838, 488, 130, 125, 120, 130, 127, 140, 22946, 1266, 1770, 2194, 1200, 2988, 1671, 7309, 31947, 488, 125, 458, 127, 1306, 1149, 1325, 1119, 10273, 488, 124, 131, 129, 458, 124, 132, 123, 18637, 1361, 10569, 8961, 119, 1111, 1510, 1158, 192, 1410, 1202, 15210, 119, 488, 129, 123, 458, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 1350, 10927, 2485, 3955, 488, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 488, 124, 131, 2460, 1461, 24773, 1111, 1510, 2992, 1334, 18023, 1518, 4830, 6522, 1154, 7467, 488, 128, 128, 2460, 1461, 24773, 3813, 488, 126, 124, 1325, 1149, 1252, 3513, 10273, 12498, 14803, 31051, 29114, 29081, 2460, 1149, 21908, 119, 488, 125, 1200, 3513, 1238, 24773, 6289, 1135, 14266, 2283, 1161, 22946, 1266, 1770, 2194, 1200, 2988, 13105, 31947, 488, 125, 125, 124, 18637, 1361, 10569, 8961, 23447, 1671, 192, 1108, 10273, 1171, 16073, 10273, 3275, 29841, 488, 124, 125, 132, 458, 124, 126, 124, 18637, 1361, 10569, 8961, 1293, 1942, 1105, 10273, 3275, 3619, 1194, 21320, 1959, 31051, 3859, 2312, 1147, 13366, 16647, 1194, 26722, 14520, 1350, 162, 13720, 2058, 142, 4770, 11076, 4877, 1161, 1135, 1325, 1119, 1539, 1558, 31051, 29114, 4770, 11076, 4877, 1161, 1135, 4669, 19807, 1161, 1135, 14247, 1325, 1119, 1539, 1558, 9819, 2531, 3520, 23907, 3825, 22195, 1107, 13769, 3480, 13122, 1147, 13366, 16647, 3335, 3375, 1171, 25481, 190, 1147, 13366, 16647, 13366, 16647, 9641, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 1325, 1119, 1539, 1558, 31051, 29114, 1239, 1110, 3543, 1267, 21669, 1149, 5646, 11219, 1147, 13366, 16647, 121, 1459, 11397, 1136, 1589, 1238, 1509, 2663, 2371, 1135, 19337, 7175, 2197, 7456, 1163, 7214, 121, 1988, 1239, 5772, 1449, 1135, 4669, 19807, 1161, 1135, 14247, 1325, 1119, 1539, 1558, 9819, 2531, 3520, 23907, 3825, 11219, 1163, 15492, 1135, 20548, 21915, 1171, 3447, 11941, 7623, 3838, 1161, 1135, 1325, 1119, 1539, 1558, 10750, 8273, 2436, 3733, 1135, 19337, 7245, 488, 124, 128, 2118, 1346, 3813, 1135, 13105, 31947, 1135, 6459, 1325, 1119, 1539, 1558, 8419, 3381, 2064, 18023, 1518, 4830, 6522, 1154, 7467, 1171, 1135, 29081, 2460, 1149, 21908, 121, 1459, 488, 125, 123, 123, 132, 119, 1355, 1135, 11855, 1161, 1135, 1441, 6152, 16606, 1161, 2484, 9000, 2025, 2670, 13145, 2377, 4078, 2488, 10615, 22255, 1449, 1135, 25549, 7162, 1822, 1132, 28326, 1171, 1135, 12279, 15350, 119, 1324, 25204, 5978, 1147, 1509, 2663, 3882, 14113, 1413, 6605, 15846, 2592, 21489, 2717, 14313, 11941, 7623, 6547, 1161, 1135, 4465, 1238, 1413, 19337, 1388, 2474, 1161, 4465, 1410, 19337, 1239, 21867, 2127, 2197, 7780, 133, 1135, 29232, 1363, 7623, 31051, 29114, 1171, 1135, 1165, 14803, 31051, 29114, 1388, 15779, 1123, 1363, 7623, 31051, 29114, 13105, 31947, 1111, 1510, 1158, 192, 1175, 2393, 6774, 1496, 1355, 488, 124, 458, 124, 124, 1204, 1390, 1696, 10273, 1171, 488, 127, 458, 124, 125, 10175, 7845, 10273, 13366, 16647, 1198, 1287, 2244, 1203, 1180, 3366, 1539, 7965, 1171, 22787, 28248, 4580, 9756, 6540, 1296, 1910, 1161, 1135, 13105, 31947, 488, 125, 129, 129, 18637, 1361, 10569, 8961, 119, 1233, 1334, 16965, 11941, 7623, 3838, 1325, 1119, 1539, 1558, 8419, 119, 488, 125, 129, 127, 18637, 1361, 10569, 8961, 1171, 488, 128, 1325, 1119, 1539, 1558, 1293, 1301, 10569, 119, 15172, 4975, 109, 3838, 488, 130, 125, 120, 130, 127, 140, 22946, 1266, 1770, 2194, 1200, 2988, 1671, 7309, 31947, 488, 125, 458, 127, 1306, 1149, 1325, 1119, 10273, 488, 124, 131, 129, 458, 124, 132, 123, 18637, 1361, 10569, 8961, 119, 1111, 1510, 1158, 192, 1410, 1202, 15210, 119, 488, 129, 123, 458, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 1350, 10927, 2485, 3955, 488, 129, 129, 4172, 22397, 10569, 119, 1111, 1510, 2992, 1334, 488, 124, 131, 2460, 1461, 24773, 1111, 1510, 2992, 1334, 18023, 1518, 4830, 6522, 1154, 7467, 488, 128, 128, 2460, 1461, 24773, 3813, 488, 126, 124, 1325, 1149, 1252, 3513, 10273, 12498, 14803, 31051, 29114, 29081, 2460, 1149, 21908, 119, 488, 125, 1200, 3513, 1238, 24773, 6289, 1135, 14266, 2283, 1161, 22946, 1266, 1770, 2194, 1200, 2988, 13105, 31947, 488, 125, 125, 124, 18637, 1361, 10569, 8961, 23447, 1671, 192, 1108, 10273, 1171, 16073, 10273, 3275, 29841, 488, 124, 125, 132, 458, 124, 126, 124, 18637, 1361, 10569, 8961, 1293, 1942, 1105, 10273, 3275, 3619, 1194, 21320, 1959, 31051, 3859, 2312, 1147, 13366, 16647, 1194, 26722, 14520, 1350, 162, 13720, 2058, 142, 4770, 11076, 4877, 1161, 1135, 1325, 1119, 1539, 1558, 31051, 29114, 4770, 11076, 4877, 1161, 1135, 4669, 19807, 1161, 1135, 14247, 1325, 1119, 1539, 1558, 9819, 2531, 3520, 23907, 3825, 22195, 1107, 13769, 3480, 13122, 1147, 13366, 16647, 3335, 3375, 1171, 25481, 190, 1147, 13366, 16647, 13366, 16647, 9641, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 28517, 114, 151, 1242, 2333, 1299, 3425, 3250, 1170, 1874, 2519, 3837, 30831, 1313, 30005, 2215, 6785, 5639, 1125, 6597, 16774, 119, 1167, 1318, 3419, 1313, 1170, 8030, 1227, 4524, 27795, 1388, 9748, 25145, 106, 1200, 1242, 2333, 6574, 1452, 2215, 1229, 1260, 1200, 1242, 2333, 1175, 164, 1555, 27795, 1260, 1200, 1242, 2333, 17440, 191, 2194, 1260, 1200, 1242, 2333, 5587, 7425, 1468, 1260, 1200, 1242, 2333, 6229, 1822, 22021, 1718, 31943, 6492, 12662, 1128, 2548, 20028, 106, 1645, 10205, 1200, 1242, 2333, 1175, 124, 132, 130, 126, 120, 1496, 8287, 244, 9092, 3556, 12870, 3556, 1155, 1233, 1129, 4279, 1200, 1242, 11205, 22816, 106, 9399, 1200, 1242, 11205, 23313, 106, 1165, 1366, 173, 6427, 1200, 1242, 11205, 5598, 3657, 8403, 106, 1165, 1366, 173, 7934, 1200, 1242, 11205, 5321, 2038, 8403, 106, 5644, 1200, 1242, 11205, 4501, 1354, 8403, 106, 11449, 6709, 1200, 1242, 11205, 5321, 2038, 8403, 106, 31996, 1214, 1200, 1242, 11205, 4501, 1354, 8403, 106, 4189, 2869, 9599, 1200, 1242, 11205, 1675, 19468, 14898, 106, 9605, 1200, 1242, 11205, 19166, 14898, 106, 31250, 1200, 1242, 11205, 5598, 3657, 24832, 106, 10069, 6479, 1200, 1242, 11205, 30771, 24832, 106, 8128, 1200, 1242, 11205, 5598, 3657, 24832, 106, 20955, 196, 1200, 1242, 11205, 30688, 106, 8415, 196, 1200, 1242, 11205, 30688, 14898, 106, 1918, 1433, 1518, 18465, 1175, 124, 132, 127, 130, 120, 1496, 4501, 1354, 1167, 30688, 14898, 17298, 2482, 2499, 2296, 1201, 1260, 20605, 196, 1200, 1242, 11205, 24190, 8403, 106, 6927, 1200, 1242, 11205, 5598, 3657, 24832, 106, 7451, 6427, 1200, 1242, 11205, 18673, 1108, 1369, 14898, 106, 27359, 1200, 1242, 11205, 3688, 1105, 1125, 1200, 1242, 2333, 1175, 124, 131, 131, 127, 120, 124, 132, 129, 129, 1260, 8980, 4172, 1200, 1242, 11205, 3688, 1105, 1125, 1200, 1242, 2333, 1175, 124, 132, 124, 125, 120, 124, 132, 131, 132, 1718, 155, 12974, 10329, 106, 17486, 31982, 1200, 1242, 11205, 29685, 13900, 1194, 149, 4814, 6327, 106, 7246, 9892, 1200, 1242, 2333, 1167, 12547, 1216, 1678, 13598, 3301, 1189, 5047, 6327, 13335, 12980, 1167, 1125, 16089, 1300, 26522, 22660, 1155, 7246, 9892, 1200, 1242, 2333, 1167, 1158, 4668, 25550, 1125, 1202, 1265, 8796, 1158, 3011, 1227, 5047, 6327, 7246, 9892, 1200, 1242, 2333, 1167, 12547, 1216, 1678, 23943, 1155, 7246, 9892, 1200, 1242, 2333, 1167, 1170, 1222, 10408, 4873, 2336, 119, 1158, 3011, 1227, 5047, 6327, 7246, 9892, 1200, 1242, 2333, 1167, 1158, 4668, 25550, 1125, 1202, 1265, 1345, 1155, 7246, 9892, 1200, 1242, 2333, 1167, 1282, 3652, 1140, 1227, 3621, 1363, 2944, 1170, 3151, 5047, 1125, 1158, 9640, 1367, 23255, 1214, 1197, 31008, 1227, 7246, 9892, 1200, 1242, 2333, 1155, 7246, 9892, 1200, 1242, 2333, 1167, 1170, 15260, 1244, 1197, 30537, 5899, 1158, 3011, 1227, 5047, 6327, 7246, 9892, 1200, 1242, 2333, 1167, 1282, 3652, 1140, 1227, 3621, 1363, 1112, 1155, 7246, 9892, 1200, 1242, 2333, 1167, 18163, 1356, 13769, 1197, 3187, 11953, 1346, 1158, 3011, 1227, 5047, 6327, 7246, 9892, 1200, 1242, 2333, 1167, 1170, 15260, 1244, 1197, 30537, 1328, 30039, 2072, 106, 1548, 1580, 18581, 1200, 1242, 2333, 6021, 106, 7432, 2333, 22195, 1137, 8150, 1214, 1125, 14807, 20028, 3050, 1137, 8150, 1214, 1125, 1163, 1614, 20028, 114, 32001, 1424, 32000, 20036, 24623, 151, 1242, 2333, 1239, 18814, 1135, 2220, 1161, 1110, 8046, 1147, 30005, 2215, 6785, 6289, 6597, 16774, 119, 1171, 4129, 1147, 5584, 4524, 27795, 1388, 24181, 6061, 1489, 1242, 2333, 6574, 1452, 2215, 1229, 12878, 1242, 2333, 1175, 164, 1555, 27795, 12878, 1242, 2333, 17440, 191, 2194, 12878, 1242, 2333, 5587, 7425, 7726, 12878, 1242, 2333, 6229, 1822, 22021, 1718, 15884, 2193, 11934, 1136, 1777, 4401, 10205, 1200, 1242, 2333, 1175, 124, 132, 130, 126, 120, 1496, 14742, 2406, 1122, 9092, 2323, 3160, 1129, 4279, 1200, 1242, 11205, 14511, 8017, 2056, 1383, 1200, 1242, 11205, 6153, 1505, 1366, 173, 6427, 1200, 1242, 11205, 4950, 12809, 2323, 1505, 1366, 173, 7934, 1200, 1242, 11205, 4950, 29695, 4196, 4720, 1200, 1242, 11205, 4950, 2493, 18351, 1763, 27995, 6709, 1200, 1242, 11205, 4950, 29695, 2586, 3104, 1214, 1200, 1242, 11205, 4950, 2493, 18351, 2911, 176, 2869, 9599, 1200, 1242, 11205, 9324, 12365, 19468, 2911, 176, 6399, 1200, 1242, 11205, 9324, 17071, 2911, 1142, 6388, 1200, 1242, 11205, 14742, 12809, 2323, 2902, 189, 6479, 1200, 1242, 11205, 14742, 21975, 2278, 1480, 1200, 1242, 11205, 14742, 12809, 2323, 1489, 1490, 196, 1200, 1242, 11205, 28117, 1489, 1308, 196, 1200, 1242, 11205, 9324, 28117, 9769, 1433, 1518, 18465, 1175, 124, 132, 127, 130, 120, 1496, 9324, 2493, 18351, 1171, 28117, 17298, 2482, 2499, 2296, 1201, 19479, 1265, 196, 1200, 1242, 11205, 4950, 27368, 1750, 23883, 1200, 1242, 11205, 14742, 12809, 2323, 5486, 28283, 6427, 1200, 1242, 11205, 9324, 18673, 1108, 1626, 5486, 1132, 1213, 1200, 1242, 11205, 4173, 1105, 1200, 1242, 2333, 1175, 124, 131, 131, 127, 120, 124, 132, 129, 129, 9838, 22809, 4172, 1200, 1242, 11205, 4173, 1105, 1200, 1242, 2333, 1175, 124, 132, 124, 125, 120, 124, 132, 131, 132, 1718, 28647, 1141, 1763, 1121, 31982, 1200, 1242, 11205, 4950, 1332, 16310, 1194, 21403, 8256, 27914, 10087, 1200, 1242, 2333, 1171, 1135, 12879, 2662, 13598, 3301, 1151, 28849, 1171, 21059, 1126, 6144, 3654, 1238, 26522, 22660, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 6660, 15573, 1926, 14967, 119, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 12879, 2662, 23943, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 1814, 194, 1615, 26108, 3988, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 6660, 15573, 1926, 14967, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 13426, 13425, 5661, 1135, 1940, 3654, 1147, 1135, 2423, 1367, 23255, 196, 1161, 18142, 1200, 1242, 2333, 1361, 15869, 1842, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 14664, 18686, 1204, 2549, 119, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 13426, 13425, 1213, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 17397, 3948, 11689, 30399, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 14664, 18686, 1204, 2549, 1388, 21320, 1959, 2359, 1580, 1105, 1489, 1242, 2333, 6021, 1489, 2554, 2333, 11934, 1136, 1777, 3002, 8150, 196, 7379, 1431, 2220, 3002, 8150, 196, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24623, 151, 1242, 2333, 1239, 18814, 1135, 2220, 1161, 1110, 8046, 1147, 30005, 2215, 6785, 6289, 6597, 16774, 119, 1171, 4129, 1147, 5584, 4524, 27795, 1388, 24181, 6061, 1489, 1242, 2333, 6574, 1452, 2215, 1229, 12878, 1242, 2333, 1175, 164, 1555, 27795, 12878, 1242, 2333, 17440, 191, 2194, 12878, 1242, 2333, 5587, 7425, 7726, 12878, 1242, 2333, 6229, 1822, 22021, 1718, 15884, 2193, 11934, 1136, 1777, 4401, 10205, 1200, 1242, 2333, 1175, 124, 132, 130, 126, 120, 1496, 14742, 2406, 1122, 9092, 2323, 3160, 1129, 4279, 1200, 1242, 11205, 14511, 8017, 2056, 1383, 1200, 1242, 11205, 6153, 1505, 1366, 173, 6427, 1200, 1242, 11205, 4950, 12809, 2323, 1505, 1366, 173, 7934, 1200, 1242, 11205, 4950, 29695, 4196, 4720, 1200, 1242, 11205, 4950, 2493, 18351, 1763, 27995, 6709, 1200, 1242, 11205, 4950, 29695, 2586, 3104, 1214, 1200, 1242, 11205, 4950, 2493, 18351, 2911, 176, 2869, 9599, 1200, 1242, 11205, 9324, 12365, 19468, 2911, 176, 6399, 1200, 1242, 11205, 9324, 17071, 2911, 1142, 6388, 1200, 1242, 11205, 14742, 12809, 2323, 2902, 189, 6479, 1200, 1242, 11205, 14742, 21975, 2278, 1480, 1200, 1242, 11205, 14742, 12809, 2323, 1489, 1490, 196, 1200, 1242, 11205, 28117, 1489, 1308, 196, 1200, 1242, 11205, 9324, 28117, 9769, 1433, 1518, 18465, 1175, 124, 132, 127, 130, 120, 1496, 9324, 2493, 18351, 1171, 28117, 17298, 2482, 2499, 2296, 1201, 19479, 1265, 196, 1200, 1242, 11205, 4950, 27368, 1750, 23883, 1200, 1242, 11205, 14742, 12809, 2323, 5486, 28283, 6427, 1200, 1242, 11205, 9324, 18673, 1108, 1626, 5486, 1132, 1213, 1200, 1242, 11205, 4173, 1105, 1200, 1242, 2333, 1175, 124, 131, 131, 127, 120, 124, 132, 129, 129, 9838, 22809, 4172, 1200, 1242, 11205, 4173, 1105, 1200, 1242, 2333, 1175, 124, 132, 124, 125, 120, 124, 132, 131, 132, 1718, 28647, 1141, 1763, 1121, 31982, 1200, 1242, 11205, 4950, 1332, 16310, 1194, 21403, 8256, 27914, 10087, 1200, 1242, 2333, 1171, 1135, 12879, 2662, 13598, 3301, 1151, 28849, 1171, 21059, 1126, 6144, 3654, 1238, 26522, 22660, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 6660, 15573, 1926, 14967, 119, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 12879, 2662, 23943, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 1814, 194, 1615, 26108, 3988, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 6660, 15573, 1926, 14967, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 13426, 13425, 5661, 1135, 1940, 3654, 1147, 1135, 2423, 1367, 23255, 196, 1161, 18142, 1200, 1242, 2333, 1361, 15869, 1842, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 14664, 18686, 1204, 2549, 119, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 13426, 13425, 1213, 12473, 177, 10087, 1200, 1242, 2333, 1171, 1135, 17397, 3948, 11689, 30399, 1135, 1281, 4339, 1163, 18142, 1200, 1242, 2333, 1171, 1135, 14664, 18686, 1204, 2549, 1388, 21320, 1959, 2359, 1580, 1105, 1489, 1242, 2333, 6021, 1489, 2554, 2333, 11934, 1136, 1777, 3002, 8150, 196, 7379, 1431, 2220, 3002, 8150, 196, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 14331, 17194, 191, 1167, 13076, 3833, 1125, 1165, 4769, 1183, 1299, 18400, 1313, 4428, 7863, 28571, 5173, 23066, 1315, 15316, 1188, 16186, 1227, 8650, 1721, 1125, 1165, 4769, 1183, 19778, 1125, 1158, 14393, 1125, 1594, 8650, 1188, 3977, 1125, 4428, 7863, 1350, 191, 1379, 1125, 1158, 2855, 1678, 21577, 1215, 1158, 3837, 1186, 488, 124, 131, 131, 132, 1167, 12749, 4428, 7863, 1125, 3837, 1186, 488, 124, 131, 132, 125, 121, 1548, 3293, 26077, 2605, 30590, 15558, 4366, 1224, 1314, 3042, 1170, 4742, 1186, 8650, 2050, 1250, 1469, 22032, 1167, 2678, 11739, 10177, 15376, 5532, 26457, 7863, 28571, 5173, 12412, 1315, 1183, 1110, 1913, 13826, 1186, 488, 124, 131, 126, 131, 121, 1768, 1299, 21577, 1186, 488, 124, 132, 125, 124, 1167, 7354, 1170, 2493, 3798, 21965, 24857, 2324, 172, 2173, 8524, 1123, 1170, 11546, 1197, 2069, 29318, 1186, 5416, 1199, 1170, 3838, 24334, 30590, 15558, 1167, 1186, 31722, 1170, 12103, 1125, 1158, 3020, 8155, 14331, 20906, 3662, 172, 1186, 488, 124, 132, 125, 128, 12258, 8135, 1711, 8539, 180, 1186, 4783, 6387, 1318, 6233, 5147, 4218, 1317, 1169, 197, 3840, 9037, 8034, 1303, 2519, 1197, 1110, 3045, 1125, 1158, 2107, 6111, 12132, 1167, 1197, 22059, 1317, 3151, 1754, 1272, 1388, 3272, 6995, 12498, 176, 14331, 1299, 13644, 1125, 3171, 21761, 8623, 2233, 3134, 4058, 30419, 5927, 1606, 1922, 3134, 4058, 1524, 5004, 4399, 12754, 14719, 1197, 1185, 1439, 1525, 2260, 179, 7569, 6087, 23105, 3589, 3511, 1925, 1167, 2959, 1150, 6479, 2624, 1125, 1158, 3734, 1125, 1165, 4769, 26662, 1643, 9545, 22031, 1299, 1318, 6907, 5101, 1277, 1691, 2085, 2847, 5252, 1172, 1284, 1460, 8273, 26360, 1460, 30419, 5927, 1606, 1165, 26360, 1460, 3133, 1469, 11129, 1158, 30666, 1460, 17802, 1357, 1299, 4018, 1303, 1215, 1125, 1158, 3863, 4054, 1167, 1197, 2490, 250, 2027, 1227, 28440, 1172, 1284, 1460, 1317, 4319, 1227, 23841, 6298, 121, 1643, 2490, 250, 1419, 1125, 3984, 1849, 1251, 1110, 1318, 2320, 1125, 4394, 13621, 23034, 1167, 1296, 1349, 4314, 1125, 2490, 250, 1419, 1125, 1222, 1372, 191, 1508, 6581, 1234, 2442, 11471, 2205, 7031, 4405, 1125, 2490, 250, 2027, 17796, 1104, 8732, 176, 1343, 3988, 12770, 1595, 3988, 12594, 11401, 7694, 30419, 5927, 1606, 3032, 1541, 120, 8752, 1167, 12594, 11401, 7694, 1524, 5004, 1197, 14766, 1227, 26851, 19565, 5350, 1197, 14766, 11813, 22044, 2131, 1129, 1298, 1167, 1318, 4405, 1283, 6377, 190, 5814, 3631, 1125, 19382, 2357, 17933, 9468, 1200, 1132, 1460, 1835, 2905, 1388, 2233, 1634, 1167, 24687, 18573, 30419, 5927, 1606, 11384, 1167, 24687, 18573, 1524, 1281, 19193, 1125, 22348, 1167, 12754, 4786, 10654, 1227, 3293, 1125, 1165, 4769, 1183, 23270, 1313, 1318, 13997, 5345, 2134, 11866, 15498, 2131, 1129, 7655, 4428, 25473, 2262, 1197, 6976, 3128, 17302, 3051, 1188, 1158, 1622, 1227, 26851, 6298, 121, 1548, 31925, 23933, 12262, 1197, 1179, 1507, 3804, 1883, 1167, 1197, 22492, 1104, 2515, 1473, 1188, 1816, 18318, 1188, 1165, 4769, 1183, 1167, 1186, 1173, 1262, 2333, 1315, 11488, 1167, 20117, 20544, 11052, 22195, 3833, 1125, 1165, 4769, 1183, 1505, 4769, 1183, 2278, 5611, 1721, 1125, 1165, 4769, 1183, 2105, 5363, 1419, 1125, 3984, 1849, 7364, 5825, 9515, 1125, 1158, 3837, 1125, 1165, 4769, 1183, 11934, 1286, 1227, 14331, 23290, 1167, 6111, 3833, 1125, 1165, 4769, 1183, 1194, 19818, 7635, 1165, 4769, 1183, 1165, 4769, 1183, 1175, 7914, 1849, 116, 14124, 1125, 1165, 4769, 1183, 16927, 15974, 1186, 488, 124, 132, 125, 128, 32001, 1424, 32000, 20036, 3616, 11679, 1161, 8080, 1171, 11469, 1161, 1165, 4769, 1183, 1239, 8452, 1147, 1135, 1306, 7863, 28571, 5173, 12412, 1315, 15316, 7509, 1135, 1721, 18960, 1161, 1165, 4769, 1183, 16864, 1449, 1135, 23799, 1149, 1161, 2019, 18960, 1324, 1302, 1161, 1135, 1306, 7863, 1350, 191, 1379, 1125, 1158, 2855, 1678, 119, 1758, 1463, 22987, 1449, 1135, 5100, 1147, 488, 124, 131, 131, 132, 1171, 7905, 1135, 8046, 17139, 1147, 488, 124, 131, 132, 125, 121, 1410, 28568, 1301, 1267, 2605, 30590, 15558, 2491, 1169, 3436, 5785, 1135, 8115, 2127, 1110, 1114, 4876, 1108, 18960, 1324, 22032, 1171, 1110, 4784, 6297, 10177, 7055, 14860, 1306, 7863, 28571, 5173, 12412, 1315, 1183, 1463, 7406, 1147, 488, 124, 131, 126, 131, 121, 1988, 1463, 22987, 1147, 488, 124, 132, 125, 124, 1171, 7905, 1135, 19592, 121, 21965, 24857, 2324, 172, 2173, 15943, 1851, 4737, 1135, 2197, 6294, 1462, 2884, 27339, 2605, 30590, 15558, 1361, 3838, 1171, 9854, 1110, 3020, 1135, 2078, 6043, 19592, 11085, 1970, 1147, 488, 124, 132, 125, 128, 21698, 24967, 1449, 12306, 1151, 21411, 5457, 1238, 1135, 7435, 11972, 1161, 1704, 1161, 1135, 1144, 1972, 1161, 1135, 2107, 1433, 1379, 1171, 24916, 1238, 1135, 1940, 11972, 1388, 3272, 6995, 27033, 19592, 1239, 3062, 1806, 1161, 5057, 20946, 1525, 2938, 15779, 4735, 4529, 14860, 1235, 15779, 4735, 4529, 109, 15867, 21838, 6750, 12883, 1446, 1578, 179, 7569, 8616, 19382, 3589, 157, 1137, 3100, 1171, 8580, 11848, 2323, 4465, 1147, 1135, 6054, 1161, 1165, 4769, 26662, 1410, 3821, 9959, 1239, 1110, 4273, 1172, 1284, 1146, 1691, 2085, 3340, 1212, 1526, 4970, 8273, 1107, 1174, 3674, 14860, 6027, 1107, 1174, 3674, 109, 15867, 19847, 6547, 17567, 4263, 1174, 17354, 3813, 3863, 16023, 1171, 6183, 9657, 3427, 1446, 1135, 4273, 1172, 1284, 1146, 1163, 1135, 5756, 488, 125, 123, 1276, 14917, 2305, 3984, 1849, 6183, 9657, 3427, 1602, 1110, 29393, 2320, 16436, 1222, 1372, 191, 6183, 9657, 3427, 1513, 13422, 1171, 31377, 1393, 11383, 2580, 119, 1296, 2632, 1296, 1110, 7895, 4405, 1161, 12192, 6183, 9657, 3427, 8732, 2472, 2064, 12770, 1595, 3988, 15053, 1985, 12594, 14860, 8397, 1314, 11384, 1171, 7495, 1121, 1985, 11384, 109, 15867, 2704, 29648, 6888, 1446, 1135, 488, 124, 132, 1276, 31046, 7426, 12518, 1449, 3984, 1129, 1298, 16955, 1171, 1110, 4405, 1161, 8080, 20835, 12883, 1449, 19382, 2357, 17933, 9468, 1200, 1132, 3725, 5684, 6864, 1388, 2233, 1634, 1171, 7015, 24687, 14860, 1235, 2233, 1634, 1171, 11673, 2344, 3859, 2527, 109, 15867, 11395, 1161, 25214, 1171, 11015, 12883, 1446, 1135, 1165, 4769, 1183, 6054, 12031, 1147, 1110, 13997, 5345, 1161, 1110, 15498, 3984, 1129, 1298, 21301, 119, 1135, 19787, 30063, 6894, 1161, 3810, 18921, 178, 1831, 1201, 1355, 1135, 2283, 1161, 1135, 488, 124, 132, 1276, 14917, 2305, 1410, 11015, 31925, 7245, 1179, 1507, 3804, 1883, 1171, 1386, 14622, 1104, 1144, 2589, 1147, 1165, 4769, 1183, 1171, 1173, 1262, 2333, 1315, 1355, 1302, 1907, 1388, 21320, 1959, 1194, 12225, 1589, 3760, 22195, 7055, 1161, 1165, 4769, 1183, 1505, 4769, 1183, 14438, 24669, 1161, 1165, 4769, 1183, 4196, 1124, 1849, 13220, 1108, 3427, 1194, 26722, 14520, 1505, 1406, 1161, 1165, 4769, 1183, 4877, 19155, 8387, 1161, 8080, 1171, 11469, 1161, 1165, 4769, 1183, 4877, 1194, 19818, 5517, 1165, 4769, 1183, 1165, 4769, 1183, 1175, 7914, 1849, 116, 11469, 1161, 1165, 4769, 1183, 11679, 20883, 1147, 488, 124, 132, 125, 128, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 11679, 1161, 8080, 1171, 11469, 1161, 1165, 4769, 1183, 1239, 8452, 1147, 1135, 1306, 7863, 28571, 5173, 12412, 1315, 15316, 7509, 1135, 1721, 18960, 1161, 1165, 4769, 1183, 16864, 1449, 1135, 23799, 1149, 1161, 2019, 18960, 1324, 1302, 1161, 1135, 1306, 7863, 1350, 191, 1379, 1125, 1158, 2855, 1678, 119, 1758, 1463, 22987, 1449, 1135, 5100, 1147, 488, 124, 131, 131, 132, 1171, 7905, 1135, 8046, 17139, 1147, 488, 124, 131, 132, 125, 121, 1410, 28568, 1301, 1267, 2605, 30590, 15558, 2491, 1169, 3436, 5785, 1135, 8115, 2127, 1110, 1114, 4876, 1108, 18960, 1324, 22032, 1171, 1110, 4784, 6297, 10177, 7055, 14860, 1306, 7863, 28571, 5173, 12412, 1315, 1183, 1463, 7406, 1147, 488, 124, 131, 126, 131, 121, 1988, 1463, 22987, 1147, 488, 124, 132, 125, 124, 1171, 7905, 1135, 19592, 121, 21965, 24857, 2324, 172, 2173, 15943, 1851, 4737, 1135, 2197, 6294, 1462, 2884, 27339, 2605, 30590, 15558, 1361, 3838, 1171, 9854, 1110, 3020, 1135, 2078, 6043, 19592, 11085, 1970, 1147, 488, 124, 132, 125, 128, 21698, 24967, 1449, 12306, 1151, 21411, 5457, 1238, 1135, 7435, 11972, 1161, 1704, 1161, 1135, 1144, 1972, 1161, 1135, 2107, 1433, 1379, 1171, 24916, 1238, 1135, 1940, 11972, 1388, 3272, 6995, 27033, 19592, 1239, 3062, 1806, 1161, 5057, 20946, 1525, 2938, 15779, 4735, 4529, 14860, 1235, 15779, 4735, 4529, 109, 15867, 21838, 6750, 12883, 1446, 1578, 179, 7569, 8616, 19382, 3589, 157, 1137, 3100, 1171, 8580, 11848, 2323, 4465, 1147, 1135, 6054, 1161, 1165, 4769, 26662, 1410, 3821, 9959, 1239, 1110, 4273, 1172, 1284, 1146, 1691, 2085, 3340, 1212, 1526, 4970, 8273, 1107, 1174, 3674, 14860, 6027, 1107, 1174, 3674, 109, 15867, 19847, 6547, 17567, 4263, 1174, 17354, 3813, 3863, 16023, 1171, 6183, 9657, 3427, 1446, 1135, 4273, 1172, 1284, 1146, 1163, 1135, 5756, 488, 125, 123, 1276, 14917, 2305, 3984, 1849, 6183, 9657, 3427, 1602, 1110, 29393, 2320, 16436, 1222, 1372, 191, 6183, 9657, 3427, 1513, 13422, 1171, 31377, 1393, 11383, 2580, 119, 1296, 2632, 1296, 1110, 7895, 4405, 1161, 12192, 6183, 9657, 3427, 8732, 2472, 2064, 12770, 1595, 3988, 15053, 1985, 12594, 14860, 8397, 1314, 11384, 1171, 7495, 1121, 1985, 11384, 109, 15867, 2704, 29648, 6888, 1446, 1135, 488, 124, 132, 1276, 31046, 7426, 12518, 1449, 3984, 1129, 1298, 16955, 1171, 1110, 4405, 1161, 8080, 20835, 12883, 1449, 19382, 2357, 17933, 9468, 1200, 1132, 3725, 5684, 6864, 1388, 2233, 1634, 1171, 7015, 24687, 14860, 1235, 2233, 1634, 1171, 11673, 2344, 3859, 2527, 109, 15867, 11395, 1161, 25214, 1171, 11015, 12883, 1446, 1135, 1165, 4769, 1183, 6054, 12031, 1147, 1110, 13997, 5345, 1161, 1110, 15498, 3984, 1129, 1298, 21301, 119, 1135, 19787, 30063, 6894, 1161, 3810, 18921, 178, 1831, 1201, 1355, 1135, 2283, 1161, 1135, 488, 124, 132, 1276, 14917, 2305, 1410, 11015, 31925, 7245, 1179, 1507, 3804, 1883, 1171, 1386, 14622, 1104, 1144, 2589, 1147, 1165, 4769, 1183, 1171, 1173, 1262, 2333, 1315, 1355, 1302, 1907, 1388, 21320, 1959, 1194, 12225, 1589, 3760, 22195, 7055, 1161, 1165, 4769, 1183, 1505, 4769, 1183, 14438, 24669, 1161, 1165, 4769, 1183, 4196, 1124, 1849, 13220, 1108, 3427, 1194, 26722, 14520, 1505, 1406, 1161, 1165, 4769, 1183, 4877, 19155, 8387, 1161, 8080, 1171, 11469, 1161, 1165, 4769, 1183, 4877, 1194, 19818, 5517, 1165, 4769, 1183, 1165, 4769, 1183, 1175, 7914, 1849, 116, 11469, 1161, 1165, 4769, 1183, 11679, 20883, 1147, 488, 124, 132, 125, 128, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 22066, 1603, 10194, 3281, 8991, 1125, 7092, 12013, 2162, 1130, 1105, 1299, 1318, 28896, 19951, 1349, 1366, 16233, 1215, 3699, 1209, 1107, 1125, 1325, 2162, 1130, 2114, 2682, 17215, 1125, 1545, 1356, 1118, 1119, 6664, 1186, 488, 124, 124, 125, 130, 121, 2576, 1603, 10194, 14785, 1110, 1913, 15633, 7542, 1158, 4597, 1376, 3467, 1188, 1189, 10424, 1895, 5949, 1186, 488, 124, 132, 125, 130, 20481, 3147, 488, 124, 124, 124, 127, 119, 3699, 1209, 1107, 1125, 1325, 2162, 1130, 1105, 15458, 1189, 1674, 1929, 244, 17934, 1188, 3281, 27398, 4537, 1653, 488, 124, 124, 125, 130, 119, 1527, 4881, 1123, 1318, 19951, 1206, 29341, 2757, 22938, 1125, 7092, 12013, 2162, 1130, 3847, 1548, 3399, 14061, 1309, 3557, 22058, 5949, 1197, 12520, 1104, 1125, 1909, 23309, 1440, 1357, 2674, 6684, 4428, 2124, 25374, 1125, 21839, 7092, 12013, 2162, 1130, 1105, 7269, 1125, 21804, 17215, 121, 1643, 19951, 1206, 1125, 7092, 12013, 2162, 1130, 1105, 17657, 1170, 7130, 1317, 8030, 1125, 1158, 19110, 6365, 1125, 1282, 1551, 2497, 25235, 1117, 6909, 1167, 1170, 7130, 1125, 1325, 2162, 1130, 1105, 3551, 4277, 11660, 1234, 1215, 1158, 7163, 1297, 3190, 10719, 3023, 24815, 10723, 1300, 1170, 1865, 1125, 1282, 20246, 28896, 20659, 1317, 2574, 1197, 24586, 3967, 23105, 3589, 3511, 1925, 1300, 5685, 22938, 8135, 27537, 121, 2502, 11083, 1158, 6216, 1125, 22938, 1300, 1197, 10982, 4796, 1170, 11402, 25525, 6298, 121, 1548, 12685, 2934, 13288, 1685, 8414, 1635, 1317, 11402, 3463, 176, 6298, 2391, 1197, 7790, 5031, 1125, 1275, 27691, 1125, 1158, 1200, 1591, 8509, 16274, 1158, 16880, 12507, 27213, 7092, 12013, 2162, 1130, 1105, 1281, 5209, 1300, 1158, 3028, 1125, 5775, 1167, 1207, 13513, 6364, 1525, 1125, 10905, 24524, 1214, 11181, 2097, 16681, 1573, 1129, 1170, 7130, 1167, 1594, 28896, 121, 1653, 488, 124, 132, 124, 132, 119, 1318, 28896, 24080, 1299, 23906, 28763, 1170, 2102, 1125, 1158, 5646, 8691, 1199, 1325, 2162, 1130, 1105, 1188, 1748, 2252, 1167, 14722, 1215, 7092, 12013, 2162, 1130, 3847, 1768, 10515, 2335, 4077, 3688, 2558, 1160, 1186, 6141, 121, 7823, 1125, 1158, 26735, 119, 1170, 4779, 1227, 7130, 1299, 13198, 244, 1197, 1522, 8799, 1227, 25235, 15920, 2079, 1158, 6676, 1278, 1125, 1282, 24822, 4089, 1117, 1657, 2576, 1603, 10194, 14785, 1125, 3838, 5252, 3589, 3511, 1119, 1299, 18504, 12104, 1186, 2921, 488, 124, 132, 125, 130, 1388, 2951, 1310, 2344, 1837, 2608, 18979, 1508, 1685, 1958, 1634, 1125, 30666, 1460, 2164, 6381, 1303, 1125, 7099, 1280, 7009, 1557, 2548, 1469, 1197, 2821, 11152, 16940, 22324, 1362, 1329, 1475, 1234, 10271, 8691, 1244, 1125, 3281, 25591, 12277, 1299, 1838, 1444, 1303, 1313, 22938, 121, 11027, 488, 124, 132, 128, 131, 119, 1318, 3848, 1740, 4259, 1125, 10922, 1299, 23268, 1300, 1158, 2320, 1227, 7130, 1170, 14737, 1125, 2798, 10271, 16492, 1431, 10019, 1300, 1170, 13835, 1206, 1595, 7758, 11404, 16888, 15933, 21813, 1594, 1618, 19399, 1188, 1189, 28936, 10271, 4546, 3955, 1253, 1436, 6645, 1303, 1125, 1158, 16880, 12507, 27213, 11404, 3281, 9228, 1304, 5110, 1439, 10271, 4803, 1348, 11941, 1136, 1366, 29214, 1300, 1207, 8371, 1286, 1541, 1197, 1600, 6492, 1186, 8791, 8642, 1277, 1125, 22938, 20861, 1207, 1329, 7260, 1125, 28075, 1125, 15212, 1167, 1125, 4609, 1554, 1856, 4142, 1125, 1158, 12308, 28808, 25345, 1125, 20704, 1558, 3651, 1455, 186, 2942, 2004, 1913, 1253, 1436, 6645, 1473, 1215, 1158, 16880, 12507, 10999, 1167, 4012, 1129, 1227, 488, 11402, 25525, 6298, 11488, 1167, 16828, 5825, 12323, 1141, 12013, 2162, 1130, 1105, 2056, 1141, 12013, 2162, 1130, 1105, 3198, 2252, 12013, 2162, 1130, 1105, 32001, 1424, 32000, 20036, 3616, 11849, 1161, 3281, 8991, 1147, 7092, 12013, 2162, 1130, 1105, 1239, 1110, 1215, 1943, 11849, 5772, 1449, 3699, 1209, 1161, 1325, 2162, 1130, 2114, 1138, 21681, 1161, 1545, 1356, 1118, 1119, 6664, 1147, 488, 124, 124, 125, 130, 121, 1410, 3224, 11849, 1463, 7406, 3545, 1135, 4597, 1376, 3467, 1355, 1110, 1624, 5589, 1147, 488, 124, 132, 125, 130, 10177, 7055, 3229, 488, 124, 124, 124, 127, 119, 3699, 1209, 1161, 1325, 2162, 1130, 1105, 20883, 1110, 1674, 1696, 14874, 1163, 3281, 27398, 4537, 1459, 488, 124, 124, 125, 130, 119, 1386, 11219, 1151, 10559, 1215, 1943, 1446, 1135, 11849, 1161, 7092, 12013, 2162, 1130, 3847, 1410, 3399, 2373, 17982, 1302, 1341, 1239, 1135, 5589, 1161, 1135, 12520, 190, 1161, 1765, 23309, 1758, 21616, 2048, 1887, 1135, 16645, 11323, 1161, 1135, 7092, 12013, 2162, 1130, 1105, 3425, 1161, 1135, 1138, 21681, 121, 1410, 1215, 1943, 1161, 7092, 12013, 2162, 1130, 1105, 20388, 1135, 7130, 1163, 1135, 10537, 1161, 1135, 26749, 3575, 1135, 3224, 1116, 1320, 3030, 1762, 1171, 1135, 7130, 1161, 1325, 2162, 1130, 1105, 3551, 4277, 19027, 1449, 1135, 1200, 1591, 16695, 121, 6653, 4735, 6898, 3572, 1342, 1430, 1355, 1135, 1865, 1161, 1135, 4006, 11849, 1318, 1516, 2718, 19382, 3589, 157, 3841, 12034, 1238, 1758, 1135, 11849, 1463, 2222, 1142, 2771, 1410, 11849, 1239, 14388, 1238, 24505, 1296, 5756, 1296, 1135, 488, 124, 129, 1276, 14917, 2305, 1410, 6540, 1463, 10484, 1169, 11922, 1147, 1135, 488, 124, 130, 1276, 14851, 3545, 1135, 1940, 6888, 1163, 2172, 4429, 1135, 1200, 1591, 16695, 8509, 6129, 5055, 6832, 19523, 7092, 12013, 2162, 1130, 1105, 1463, 1238, 1135, 5775, 2458, 1171, 9324, 1400, 2952, 1884, 13513, 1379, 1525, 1971, 1573, 1589, 1135, 7130, 1171, 2019, 11849, 121, 1459, 488, 124, 132, 124, 132, 119, 1110, 22277, 11849, 1463, 2142, 1806, 4957, 1135, 7248, 28414, 1325, 2162, 1130, 1105, 1163, 1748, 2252, 1171, 18907, 2488, 7092, 12013, 2162, 1130, 3847, 1988, 1463, 1110, 4077, 10920, 1108, 1492, 1480, 121, 14113, 1135, 26735, 119, 1135, 8302, 1161, 1135, 7130, 1463, 11085, 1446, 1135, 5119, 21026, 1161, 1135, 1116, 1320, 1130, 1884, 1163, 1135, 11090, 1161, 1135, 7248, 5642, 5068, 1410, 3224, 1288, 3589, 157, 3841, 1104, 1244, 3838, 11849, 1463, 18504, 1136, 1589, 1147, 6942, 488, 124, 132, 125, 130, 7745, 4762, 6547, 3616, 26480, 1393, 14157, 1324, 2164, 5417, 4263, 1174, 1146, 1111, 3045, 1147, 1280, 7009, 22693, 1324, 10888, 120, 1800, 196, 1329, 18401, 2821, 6995, 1827, 1169, 1380, 1161, 3281, 28150, 1239, 2257, 16251, 1147, 1135, 11849, 121, 11484, 488, 124, 132, 128, 131, 119, 1110, 9814, 1149, 1161, 20287, 1239, 12742, 1238, 1135, 7130, 10804, 1238, 1135, 12366, 1161, 6384, 1827, 13327, 7021, 8452, 1238, 1135, 10553, 13835, 1206, 1595, 2302, 21544, 3281, 8991, 13480, 1765, 1455, 186, 1569, 1163, 1110, 12529, 1618, 1827, 4546, 3955, 1499, 3208, 1446, 5055, 6832, 19523, 2302, 21544, 3281, 19310, 1161, 3675, 1120, 180, 1827, 29214, 11941, 7623, 6297, 1238, 1135, 10888, 17172, 5454, 6751, 2314, 1161, 1135, 11849, 6547, 1113, 1314, 1191, 176, 1171, 2646, 1326, 1329, 7243, 1525, 2141, 3108, 1161, 1135, 10255, 2718, 5663, 1161, 25345, 1147, 20704, 1558, 2238, 1138, 15972, 2025, 1499, 3208, 1446, 5055, 6832, 1209, 1171, 3110, 2441, 1163, 1135, 488, 124, 129, 1276, 14917, 2305, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 11849, 1161, 3281, 8991, 1147, 7092, 12013, 2162, 1130, 1105, 1239, 1110, 1215, 1943, 11849, 5772, 1449, 3699, 1209, 1161, 1325, 2162, 1130, 2114, 1138, 21681, 1161, 1545, 1356, 1118, 1119, 6664, 1147, 488, 124, 124, 125, 130, 121, 1410, 3224, 11849, 1463, 7406, 3545, 1135, 4597, 1376, 3467, 1355, 1110, 1624, 5589, 1147, 488, 124, 132, 125, 130, 10177, 7055, 3229, 488, 124, 124, 124, 127, 119, 3699, 1209, 1161, 1325, 2162, 1130, 1105, 20883, 1110, 1674, 1696, 14874, 1163, 3281, 27398, 4537, 1459, 488, 124, 124, 125, 130, 119, 1386, 11219, 1151, 10559, 1215, 1943, 1446, 1135, 11849, 1161, 7092, 12013, 2162, 1130, 3847, 1410, 3399, 2373, 17982, 1302, 1341, 1239, 1135, 5589, 1161, 1135, 12520, 190, 1161, 1765, 23309, 1758, 21616, 2048, 1887, 1135, 16645, 11323, 1161, 1135, 7092, 12013, 2162, 1130, 1105, 3425, 1161, 1135, 1138, 21681, 121, 1410, 1215, 1943, 1161, 7092, 12013, 2162, 1130, 1105, 20388, 1135, 7130, 1163, 1135, 10537, 1161, 1135, 26749, 3575, 1135, 3224, 1116, 1320, 3030, 1762, 1171, 1135, 7130, 1161, 1325, 2162, 1130, 1105, 3551, 4277, 19027, 1449, 1135, 1200, 1591, 16695, 121, 6653, 4735, 6898, 3572, 1342, 1430, 1355, 1135, 1865, 1161, 1135, 4006, 11849, 1318, 1516, 2718, 19382, 3589, 157, 3841, 12034, 1238, 1758, 1135, 11849, 1463, 2222, 1142, 2771, 1410, 11849, 1239, 14388, 1238, 24505, 1296, 5756, 1296, 1135, 488, 124, 129, 1276, 14917, 2305, 1410, 6540, 1463, 10484, 1169, 11922, 1147, 1135, 488, 124, 130, 1276, 14851, 3545, 1135, 1940, 6888, 1163, 2172, 4429, 1135, 1200, 1591, 16695, 8509, 6129, 5055, 6832, 19523, 7092, 12013, 2162, 1130, 1105, 1463, 1238, 1135, 5775, 2458, 1171, 9324, 1400, 2952, 1884, 13513, 1379, 1525, 1971, 1573, 1589, 1135, 7130, 1171, 2019, 11849, 121, 1459, 488, 124, 132, 124, 132, 119, 1110, 22277, 11849, 1463, 2142, 1806, 4957, 1135, 7248, 28414, 1325, 2162, 1130, 1105, 1163, 1748, 2252, 1171, 18907, 2488, 7092, 12013, 2162, 1130, 3847, 1988, 1463, 1110, 4077, 10920, 1108, 1492, 1480, 121, 14113, 1135, 26735, 119, 1135, 8302, 1161, 1135, 7130, 1463, 11085, 1446, 1135, 5119, 21026, 1161, 1135, 1116, 1320, 1130, 1884, 1163, 1135, 11090, 1161, 1135, 7248, 5642, 5068, 1410, 3224, 1288, 3589, 157, 3841, 1104, 1244, 3838, 11849, 1463, 18504, 1136, 1589, 1147, 6942, 488, 124, 132, 125, 130, 7745, 4762, 6547, 3616, 26480, 1393, 14157, 1324, 2164, 5417, 4263, 1174, 1146, 1111, 3045, 1147, 1280, 7009, 22693, 1324, 10888, 120, 1800, 196, 1329, 18401, 2821, 6995, 1827, 1169, 1380, 1161, 3281, 28150, 1239, 2257, 16251, 1147, 1135, 11849, 121, 11484, 488, 124, 132, 128, 131, 119, 1110, 9814, 1149, 1161, 20287, 1239, 12742, 1238, 1135, 7130, 10804, 1238, 1135, 12366, 1161, 6384, 1827, 13327, 7021, 8452, 1238, 1135, 10553, 13835, 1206, 1595, 2302, 21544, 3281, 8991, 13480, 1765, 1455, 186, 1569, 1163, 1110, 12529, 1618, 1827, 4546, 3955, 1499, 3208, 1446, 5055, 6832, 19523, 2302, 21544, 3281, 19310, 1161, 3675, 1120, 180, 1827, 29214, 11941, 7623, 6297, 1238, 1135, 10888, 17172, 5454, 6751, 2314, 1161, 1135, 11849, 6547, 1113, 1314, 1191, 176, 1171, 2646, 1326, 1329, 7243, 1525, 2141, 3108, 1161, 1135, 10255, 2718, 5663, 1161, 25345, 1147, 20704, 1558, 2238, 1138, 15972, 2025, 1499, 3208, 1446, 5055, 6832, 1209, 1171, 3110, 2441, 1163, 1135, 488, 124, 129, 1276, 14917, 2305, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18604, 22663, 2973, 1655, 5161, 1170, 3635, 1793, 1299, 1318, 4372, 11347, 1460, 13409, 1188, 1158, 1622, 1227, 4764, 1167, 1357, 2856, 1125, 2627, 3421, 3097, 3389, 12030, 1189, 3418, 1362, 1189, 11002, 7669, 3725, 16513, 1186, 31742, 1199, 1207, 2377, 1104, 6111, 4788, 1538, 1842, 24019, 11476, 1313, 1282, 2035, 7153, 10062, 1768, 2856, 2442, 1215, 1158, 3011, 5147, 19568, 1188, 1158, 9537, 1189, 3418, 1362, 1189, 13630, 3277, 15519, 2130, 6628, 1125, 1170, 1873, 8611, 1388, 4929, 1109, 1780, 1326, 1227, 3635, 1272, 2895, 4794, 1125, 13258, 1197, 26120, 1362, 15848, 1380, 3093, 7669, 2097, 1781, 1172, 1473, 9462, 1186, 3828, 3247, 1125, 16371, 17286, 1227, 3635, 5533, 4060, 10317, 2856, 26438, 10355, 1659, 1170, 1408, 13288, 14327, 1207, 1114, 1785, 24019, 1186, 1207, 6033, 1199, 1186, 1114, 1785, 2429, 13962, 1313, 12436, 28442, 1357, 22968, 1215, 29967, 1189, 1177, 1109, 242, 1272, 8305, 1186, 8027, 1227, 3635, 1272, 4023, 151, 13293, 1170, 3635, 1272, 1299, 14009, 1629, 3378, 1238, 21489, 1317, 1962, 1227, 2658, 8823, 18443, 2335, 28783, 11725, 1145, 7268, 10374, 1188, 1158, 19134, 1125, 1158, 9537, 1362, 1125, 4345, 7671, 1300, 1207, 1166, 4788, 1538, 1842, 1304, 1700, 4364, 3066, 1170, 3635, 1272, 1299, 12030, 3793, 3310, 1170, 3418, 1362, 1170, 11002, 7354, 25911, 12030, 7272, 1167, 1858, 2558, 121, 1548, 25332, 3699, 20190, 1252, 1217, 1374, 21917, 1158, 5854, 1227, 3635, 1272, 22281, 1256, 1158, 5735, 1125, 31824, 1658, 29637, 1170, 2015, 2335, 18507, 1170, 3635, 1272, 2856, 2072, 1125, 9311, 1189, 28783, 1158, 1286, 1250, 1858, 2558, 1357, 1844, 3247, 1125, 1282, 2035, 7153, 10062, 1643, 7751, 1125, 1440, 28783, 2750, 1189, 4764, 5666, 1299, 12368, 2335, 3635, 1272, 18535, 8985, 10374, 2666, 1188, 1189, 2658, 1125, 3635, 1272, 4202, 2107, 3378, 2666, 1188, 1189, 3635, 1793, 3731, 184, 3502, 27716, 1257, 1189, 28783, 3793, 1129, 1288, 10262, 1382, 1256, 8398, 1309, 1170, 3635, 1272, 1299, 11867, 121, 1808, 6197, 3051, 9265, 1129, 1186, 4610, 1125, 21417, 3672, 1317, 2864, 488, 125, 2768, 1170, 2658, 4753, 1256, 1982, 8246, 4545, 1440, 28783, 1388, 26630, 2359, 3635, 1793, 2368, 1519, 4326, 1170, 1408, 4701, 1313, 1170, 25912, 2666, 2290, 4438, 22594, 20174, 2806, 2666, 1186, 1113, 2759, 9770, 1643, 14820, 4292, 22072, 1186, 4610, 1125, 488, 124, 118, 127, 1188, 488, 124, 118, 132, 3702, 25472, 1309, 10276, 2623, 4931, 21417, 1227, 3418, 1362, 1227, 11002, 18329, 1158, 8906, 1125, 3219, 7042, 1256, 1408, 1125, 2671, 5629, 4023, 4479, 9744, 28595, 1508, 11041, 1257, 1768, 7362, 15293, 1176, 21031, 1107, 1673, 1306, 2124, 1174, 21031, 1107, 2040, 1198, 1130, 1108, 1132, 7673, 10131, 1673, 7673, 10131, 24354, 1157, 3540, 1388, 4499, 1890, 6538, 1299, 2072, 2638, 1125, 14344, 31435, 1318, 4372, 1125, 3635, 30450, 14059, 1318, 16885, 13753, 1125, 2262, 8708, 186, 1257, 1181, 7531, 14816, 1230, 1125, 21310, 3282, 1175, 9306, 2500, 13348, 1166, 196, 1482, 14816, 1286, 1125, 21310, 3282, 116, 1257, 1509, 125, 128, 123, 1185, 168, 2040, 10652, 14816, 1286, 1125, 21310, 3282, 1175, 25816, 1468, 1188, 488, 126, 128, 210, 16642, 11125, 116, 1257, 1175, 1995, 1509, 1208, 1181, 7531, 14816, 1230, 5658, 2040, 31144, 1125, 12436, 1186, 13860, 11045, 2009, 1256, 8240, 1509, 1208, 4372, 168, 30039, 2072, 9745, 13521, 2335, 3418, 7272, 1167, 7207, 1194, 2101, 174, 12374, 7669, 1460, 32001, 1424, 32000, 20036, 3229, 23088, 7669, 1762, 1135, 21417, 1239, 1110, 16838, 4372, 2629, 1355, 1135, 2283, 1161, 5733, 2701, 1163, 10484, 1197, 3421, 1117, 2174, 1110, 3418, 1329, 7669, 1146, 8828, 1449, 27194, 1938, 13073, 23088, 18264, 3016, 1147, 1135, 1895, 7153, 10062, 2192, 8647, 1135, 9828, 3418, 1329, 2512, 1163, 1280, 24005, 1163, 4942, 3703, 1135, 7382, 1161, 1131, 1307, 6070, 14023, 1757, 1149, 2769, 3006, 1126, 3616, 2293, 16075, 3901, 1161, 24005, 7669, 1146, 2512, 190, 1329, 8196, 21089, 19973, 1238, 1135, 4789, 21810, 1161, 1135, 3635, 1149, 16379, 2192, 6017, 23397, 1163, 18079, 1230, 1296, 3120, 23088, 2264, 1634, 1296, 2638, 1449, 8551, 4145, 2182, 2127, 4784, 2059, 1172, 12405, 2264, 1634, 17926, 10852, 1151, 6865, 1177, 1554, 1149, 2470, 3635, 1149, 4023, 1428, 1437, 11466, 3635, 1149, 1526, 3075, 1163, 1110, 20556, 1943, 1131, 1307, 5624, 1149, 2060, 1907, 5404, 1163, 1135, 18671, 1161, 4942, 1329, 4093, 1185, 4580, 1238, 1135, 23088, 18264, 1176, 1457, 2728, 3635, 1149, 1239, 10484, 3793, 3310, 1135, 3418, 1329, 8828, 1583, 9713, 1641, 4144, 10484, 5861, 1171, 1858, 2558, 121, 10272, 2430, 1107, 3699, 20190, 1252, 1217, 1374, 15157, 1135, 8511, 1161, 22967, 3635, 1149, 1226, 1135, 15418, 1161, 17323, 30291, 6649, 1135, 2464, 1161, 18507, 3635, 1149, 1959, 12003, 1163, 7870, 1151, 1858, 2558, 3270, 6200, 2623, 1142, 1302, 1239, 1910, 1161, 1135, 1895, 7153, 10062, 1410, 13927, 1161, 1413, 2623, 1142, 2470, 7214, 5733, 21372, 18535, 8383, 3635, 2064, 5137, 5404, 1163, 1110, 4397, 4912, 3635, 1149, 1907, 1329, 2217, 2664, 3635, 1657, 7802, 133, 1135, 17977, 1161, 1110, 2623, 1142, 2778, 1375, 19927, 4934, 1302, 3635, 1149, 1239, 7235, 121, 3318, 26806, 1201, 13241, 9684, 3635, 1149, 1226, 1355, 4674, 18098, 1135, 1907, 7035, 1163, 2440, 1413, 2623, 1142, 12962, 1570, 1388, 26810, 2105, 1757, 1107, 1239, 24612, 22987, 5514, 1269, 1147, 5137, 20174, 1589, 12486, 1329, 8573, 1596, 1830, 121, 1410, 14820, 4292, 16445, 1177, 6852, 1446, 488, 124, 118, 127, 1163, 488, 124, 118, 132, 16844, 1238, 5196, 1421, 1393, 3635, 1149, 3418, 1329, 8828, 14153, 2160, 1163, 1135, 11987, 1161, 2483, 3234, 1226, 1792, 8231, 4023, 31569, 9667, 7455, 4667, 133, 1768, 7362, 15293, 1176, 21031, 1107, 1673, 1306, 2124, 1174, 21031, 1107, 134, 1198, 1130, 1108, 1132, 7673, 10131, 1673, 7673, 10131, 24354, 1157, 3540, 1388, 4499, 9178, 17834, 1239, 1959, 2638, 1163, 15134, 1680, 3022, 21417, 4372, 121, 8940, 1239, 1110, 15449, 8708, 186, 2262, 18665, 8118, 21310, 3282, 1181, 7531, 14816, 1230, 1175, 15326, 1269, 5388, 1296, 21310, 3282, 1166, 196, 1482, 14816, 1286, 3568, 1509, 125, 128, 123, 1185, 16673, 21310, 3282, 10652, 14816, 1286, 1175, 25816, 1176, 1355, 488, 126, 128, 210, 16642, 11125, 3568, 22879, 1509, 2469, 1181, 7531, 14816, 1230, 168, 3628, 1622, 5653, 5400, 4784, 1163, 5994, 1509, 2469, 4372, 168, 1388, 21320, 1959, 24259, 1480, 1171, 7502, 3418, 5733, 1194, 5449, 1190, 16027, 2701, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3229, 23088, 7669, 1762, 1135, 21417, 1239, 1110, 16838, 4372, 2629, 1355, 1135, 2283, 1161, 5733, 2701, 1163, 10484, 1197, 3421, 1117, 2174, 1110, 3418, 1329, 7669, 1146, 8828, 1449, 27194, 1938, 13073, 23088, 18264, 3016, 1147, 1135, 1895, 7153, 10062, 2192, 8647, 1135, 9828, 3418, 1329, 2512, 1163, 1280, 24005, 1163, 4942, 3703, 1135, 7382, 1161, 1131, 1307, 6070, 14023, 1757, 1149, 2769, 3006, 1126, 3616, 2293, 16075, 3901, 1161, 24005, 7669, 1146, 2512, 190, 1329, 8196, 21089, 19973, 1238, 1135, 4789, 21810, 1161, 1135, 3635, 1149, 16379, 2192, 6017, 23397, 1163, 18079, 1230, 1296, 3120, 23088, 2264, 1634, 1296, 2638, 1449, 8551, 4145, 2182, 2127, 4784, 2059, 1172, 12405, 2264, 1634, 17926, 10852, 1151, 6865, 1177, 1554, 1149, 2470, 3635, 1149, 4023, 1428, 1437, 11466, 3635, 1149, 1526, 3075, 1163, 1110, 20556, 1943, 1131, 1307, 5624, 1149, 2060, 1907, 5404, 1163, 1135, 18671, 1161, 4942, 1329, 4093, 1185, 4580, 1238, 1135, 23088, 18264, 1176, 1457, 2728, 3635, 1149, 1239, 10484, 3793, 3310, 1135, 3418, 1329, 8828, 1583, 9713, 1641, 4144, 10484, 5861, 1171, 1858, 2558, 121, 10272, 2430, 1107, 3699, 20190, 1252, 1217, 1374, 15157, 1135, 8511, 1161, 22967, 3635, 1149, 1226, 1135, 15418, 1161, 17323, 30291, 6649, 1135, 2464, 1161, 18507, 3635, 1149, 1959, 12003, 1163, 7870, 1151, 1858, 2558, 3270, 6200, 2623, 1142, 1302, 1239, 1910, 1161, 1135, 1895, 7153, 10062, 1410, 13927, 1161, 1413, 2623, 1142, 2470, 7214, 5733, 21372, 18535, 8383, 3635, 2064, 5137, 5404, 1163, 1110, 4397, 4912, 3635, 1149, 1907, 1329, 2217, 2664, 3635, 1657, 7802, 133, 1135, 17977, 1161, 1110, 2623, 1142, 2778, 1375, 19927, 4934, 1302, 3635, 1149, 1239, 7235, 121, 3318, 26806, 1201, 13241, 9684, 3635, 1149, 1226, 1355, 4674, 18098, 1135, 1907, 7035, 1163, 2440, 1413, 2623, 1142, 12962, 1570, 1388, 26810, 2105, 1757, 1107, 1239, 24612, 22987, 5514, 1269, 1147, 5137, 20174, 1589, 12486, 1329, 8573, 1596, 1830, 121, 1410, 14820, 4292, 16445, 1177, 6852, 1446, 488, 124, 118, 127, 1163, 488, 124, 118, 132, 16844, 1238, 5196, 1421, 1393, 3635, 1149, 3418, 1329, 8828, 14153, 2160, 1163, 1135, 11987, 1161, 2483, 3234, 1226, 1792, 8231, 4023, 31569, 9667, 7455, 4667, 133, 1768, 7362, 15293, 1176, 21031, 1107, 1673, 1306, 2124, 1174, 21031, 1107, 134, 1198, 1130, 1108, 1132, 7673, 10131, 1673, 7673, 10131, 24354, 1157, 3540, 1388, 4499, 9178, 17834, 1239, 1959, 2638, 1163, 15134, 1680, 3022, 21417, 4372, 121, 8940, 1239, 1110, 15449, 8708, 186, 2262, 18665, 8118, 21310, 3282, 1181, 7531, 14816, 1230, 1175, 15326, 1269, 5388, 1296, 21310, 3282, 1166, 196, 1482, 14816, 1286, 3568, 1509, 125, 128, 123, 1185, 16673, 21310, 3282, 10652, 14816, 1286, 1175, 25816, 1176, 1355, 488, 126, 128, 210, 16642, 11125, 3568, 22879, 1509, 2469, 1181, 7531, 14816, 1230, 168, 3628, 1622, 5653, 5400, 4784, 1163, 5994, 1509, 2469, 4372, 168, 1388, 21320, 1959, 24259, 1480, 1171, 7502, 3418, 5733, 1194, 5449, 1190, 16027, 2701, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 17322, 4481, 1164, 1518, 1219, 1366, 193, 5005, 15186, 1202, 4740, 2394, 119, 1858, 121, 488, 126, 131, 1239, 1110, 2142, 1161, 488, 125, 127, 19652, 12518, 4334, 2128, 2470, 1539, 1273, 1109, 1361, 1578, 183, 1506, 1457, 8724, 1578, 183, 2394, 1239, 4558, 1238, 1110, 26559, 1111, 1515, 1171, 1239, 6794, 1147, 1110, 3259, 3217, 3602, 1135, 18950, 1161, 20405, 1285, 1324, 2483, 3821, 3217, 11179, 1449, 2019, 5776, 1677, 7070, 3842, 2025, 26482, 1147, 1135, 3162, 488, 124, 132, 127, 126, 120, 127, 127, 1171, 14874, 1163, 1765, 5724, 1659, 18965, 1172, 1558, 4736, 2549, 1651, 29674, 1388, 2474, 1161, 1578, 183, 4119, 1339, 5675, 1199, 27482, 1147, 1165, 3821, 119, 488, 125, 130, 14365, 1628, 2021, 197, 1265, 2086, 1147, 1192, 1677, 4834, 488, 126, 131, 14365, 2073, 1289, 1431, 1170, 3514, 1374, 2086, 1147, 1293, 3821, 119, 488, 128, 126, 14365, 20021, 1199, 27482, 1147, 1254, 1677, 4834, 488, 129, 126, 14365, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1147, 1222, 3821, 119, 488, 127, 128, 14365, 1530, 2340, 178, 1150, 15188, 1845, 119, 1147, 1233, 1677, 4834, 488, 126, 128, 14365, 1720, 9115, 7613, 1184, 17683, 1292, 2086, 1147, 1192, 3821, 119, 488, 125, 129, 14365, 20021, 2009, 2081, 12954, 1228, 2086, 1173, 4122, 1443, 1184, 11292, 11180, 1323, 1202, 28702, 4115, 1123, 7613, 1323, 1198, 4450, 186, 19523, 1147, 1252, 21767, 1677, 4834, 488, 125, 132, 14365, 1530, 2340, 18716, 1824, 186, 1114, 2021, 197, 11180, 1323, 1202, 28702, 6907, 259, 18334, 29356, 1147, 1254, 3821, 119, 488, 129, 126, 14365, 15976, 12954, 1228, 186, 13575, 1150, 1423, 27146, 1128, 2086, 4597, 1123, 1265, 2086, 8666, 7613, 1323, 1200, 21088, 1323, 27993, 1674, 1724, 1323, 1200, 1700, 2086, 1147, 1165, 21767, 1677, 4834, 488, 127, 126, 14365, 2073, 1289, 1431, 1114, 2021, 197, 1265, 2086, 1147, 1233, 3821, 119, 488, 129, 124, 14365, 8535, 16050, 2086, 1147, 1293, 21767, 1677, 4834, 488, 126, 128, 14365, 1530, 2340, 178, 1150, 2081, 12954, 1228, 2086, 1147, 1252, 21767, 3821, 119, 488, 129, 132, 14365, 1566, 1312, 11497, 24364, 2206, 173, 7056, 1147, 1254, 13829, 1677, 4834, 488, 124, 123, 123, 14365, 1530, 2340, 18716, 1824, 186, 1557, 20297, 2086, 1147, 1222, 13829, 3821, 119, 488, 126, 125, 14365, 1530, 2340, 178, 1150, 1111, 2322, 21160, 29356, 1147, 1233, 13829, 1677, 4834, 488, 128, 132, 14365, 20021, 1199, 4384, 17683, 1292, 2086, 1147, 1192, 13829, 3821, 119, 488, 127, 124, 14365, 1489, 1700, 30679, 1191, 9427, 1123, 1810, 1147, 1252, 1677, 4834, 488, 124, 126, 14365, 1530, 2340, 18716, 1824, 2086, 1147, 1254, 13829, 3821, 119, 488, 126, 128, 14365, 20021, 1199, 4384, 3405, 1291, 8117, 1147, 1165, 1677, 4834, 488, 128, 126, 14365, 2105, 4324, 1586, 1762, 8571, 12954, 1228, 186, 13575, 19074, 1147, 1233, 13829, 3821, 119, 488, 128, 130, 14365, 1628, 2021, 197, 1265, 2181, 8571, 12954, 1228, 186, 13575, 19074, 1147, 1293, 1677, 4834, 488, 129, 125, 14365, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1147, 1252, 3821, 119, 488, 126, 123, 14365, 1530, 2340, 178, 1150, 4014, 186, 1159, 1323, 14524, 186, 18334, 1756, 121, 1918, 1780, 5907, 1323, 1202, 5200, 1470, 24364, 6907, 259, 18334, 1756, 1323, 1202, 28702, 2467, 186, 18334, 1756, 3145, 1147, 1222, 1677, 4834, 488, 124, 123, 128, 14365, 1388, 10488, 1449, 1222, 4481, 1164, 1518, 1219, 1366, 193, 5005, 2305, 32001, 1424, 32000, 20036, 2608, 8487, 183, 4119, 1858, 121, 488, 126, 131, 1125, 1222, 4481, 1164, 1518, 1219, 1366, 193, 15344, 1508, 1189, 6231, 1125, 488, 125, 127, 6406, 1125, 19652, 1300, 1170, 7042, 1197, 29090, 4119, 1125, 1539, 1273, 4537, 31253, 1145, 1197, 29090, 4119, 1299, 20031, 1300, 1189, 14170, 13565, 1167, 7383, 1299, 5617, 1313, 1318, 5412, 1902, 22396, 1186, 6441, 1170, 9586, 1197, 1179, 1343, 1346, 3219, 5412, 1902, 22031, 6058, 27849, 1125, 1561, 5776, 8330, 7471, 4651, 2004, 1913, 3647, 1234, 1313, 1207, 4092, 488, 124, 132, 127, 126, 120, 127, 127, 121, 4651, 1508, 9637, 1234, 1188, 18965, 1172, 5363, 14664, 2549, 1651, 5005, 2433, 1594, 13787, 9994, 2038, 1197, 29090, 4119, 20021, 1199, 27482, 1186, 9225, 17098, 119, 488, 125, 130, 6560, 1628, 2021, 197, 1265, 2086, 1186, 1158, 8330, 4819, 488, 126, 131, 6560, 2073, 1289, 1431, 1170, 3514, 1374, 2086, 1186, 2429, 17098, 119, 488, 128, 126, 6560, 20021, 1199, 27482, 1186, 6534, 8330, 4819, 488, 129, 126, 6560, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1186, 1338, 17098, 119, 488, 127, 128, 6560, 1530, 2340, 178, 1150, 15188, 1845, 119, 1186, 1995, 8330, 4819, 488, 126, 128, 6560, 1720, 9115, 7613, 1184, 17683, 1292, 2086, 1186, 1158, 17098, 119, 488, 125, 129, 6560, 20021, 2009, 2081, 12954, 1228, 2086, 1173, 4122, 1443, 1184, 11292, 11180, 1323, 1202, 28702, 4115, 1123, 7613, 1323, 1198, 4450, 186, 19523, 1186, 2490, 30260, 7551, 8330, 4819, 488, 125, 132, 6560, 1530, 2340, 18716, 1824, 186, 1114, 2021, 197, 11180, 1323, 1202, 28702, 6907, 259, 18334, 29356, 1186, 6534, 17098, 119, 488, 129, 126, 6560, 15976, 12954, 1228, 186, 13575, 1150, 1423, 27146, 1128, 2086, 4597, 1123, 1265, 2086, 8666, 7613, 1323, 1200, 21088, 1323, 27993, 1674, 1724, 1323, 1200, 1700, 2086, 1186, 9225, 30260, 7551, 8330, 4819, 488, 127, 126, 6560, 2073, 1289, 1431, 1114, 2021, 197, 1265, 2086, 1186, 1995, 17098, 119, 488, 129, 124, 6560, 8535, 16050, 2086, 1186, 2429, 30260, 7551, 8330, 4819, 488, 126, 128, 6560, 1530, 2340, 178, 1150, 2081, 12954, 1228, 2086, 1186, 2490, 30260, 7551, 17098, 17098, 119, 488, 129, 132, 6560, 1566, 1312, 11497, 24364, 2206, 173, 7056, 1186, 6534, 2687, 2035, 1172, 8330, 4819, 488, 124, 123, 123, 6560, 1530, 2340, 18716, 1824, 186, 1557, 20297, 2086, 1186, 1338, 2687, 2035, 1172, 17098, 119, 488, 126, 125, 6560, 1530, 2340, 178, 1150, 1111, 2322, 21160, 29356, 1186, 1995, 2687, 2035, 1172, 8330, 4819, 488, 128, 132, 6560, 20021, 1199, 4384, 17683, 1292, 2086, 1186, 1158, 2687, 2035, 1172, 17098, 119, 488, 127, 124, 6560, 1489, 1700, 30679, 1191, 9427, 1123, 1810, 1186, 2490, 8330, 4819, 488, 124, 126, 6560, 1530, 2340, 18716, 1824, 2086, 1186, 6534, 2687, 2035, 1172, 17098, 119, 488, 126, 128, 6560, 20021, 1199, 4384, 3405, 1291, 8117, 1186, 9225, 8330, 4819, 488, 128, 126, 6560, 2105, 1104, 1716, 4080, 1965, 8571, 12954, 1228, 186, 13575, 19074, 1186, 1995, 2687, 2035, 1172, 17098, 119, 488, 128, 130, 6560, 1628, 2021, 197, 1265, 2181, 8571, 12954, 1228, 186, 13575, 19074, 1186, 2429, 8330, 4819, 488, 129, 125, 6560, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1186, 2490, 17098, 119, 488, 126, 123, 6560, 1530, 2340, 178, 1150, 4014, 186, 1159, 1323, 14524, 186, 18334, 1756, 121, 1918, 1780, 5907, 1323, 1202, 5200, 1470, 24364, 6907, 259, 18334, 1756, 1323, 1202, 28702, 2467, 186, 18334, 1756, 3145, 1186, 1338, 8330, 4819, 488, 124, 123, 128, 6560, 1388, 282, 10843, 1125, 1222, 4481, 1164, 1518, 1219, 1366, 193, 15344, 6975, 1219, 1366, 193, 15344, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2608, 8487, 183, 4119, 1858, 121, 488, 126, 131, 1125, 1222, 4481, 1164, 1518, 1219, 1366, 193, 15344, 1508, 1189, 6231, 1125, 488, 125, 127, 6406, 1125, 19652, 1300, 1170, 7042, 1197, 29090, 4119, 1125, 1539, 1273, 4537, 31253, 1145, 1197, 29090, 4119, 1299, 20031, 1300, 1189, 14170, 13565, 1167, 7383, 1299, 5617, 1313, 1318, 5412, 1902, 22396, 1186, 6441, 1170, 9586, 1197, 1179, 1343, 1346, 3219, 5412, 1902, 22031, 6058, 27849, 1125, 1561, 5776, 8330, 7471, 4651, 2004, 1913, 3647, 1234, 1313, 1207, 4092, 488, 124, 132, 127, 126, 120, 127, 127, 121, 4651, 1508, 9637, 1234, 1188, 18965, 1172, 5363, 14664, 2549, 1651, 5005, 2433, 1594, 13787, 9994, 2038, 1197, 29090, 4119, 20021, 1199, 27482, 1186, 9225, 17098, 119, 488, 125, 130, 6560, 1628, 2021, 197, 1265, 2086, 1186, 1158, 8330, 4819, 488, 126, 131, 6560, 2073, 1289, 1431, 1170, 3514, 1374, 2086, 1186, 2429, 17098, 119, 488, 128, 126, 6560, 20021, 1199, 27482, 1186, 6534, 8330, 4819, 488, 129, 126, 6560, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1186, 1338, 17098, 119, 488, 127, 128, 6560, 1530, 2340, 178, 1150, 15188, 1845, 119, 1186, 1995, 8330, 4819, 488, 126, 128, 6560, 1720, 9115, 7613, 1184, 17683, 1292, 2086, 1186, 1158, 17098, 119, 488, 125, 129, 6560, 20021, 2009, 2081, 12954, 1228, 2086, 1173, 4122, 1443, 1184, 11292, 11180, 1323, 1202, 28702, 4115, 1123, 7613, 1323, 1198, 4450, 186, 19523, 1186, 2490, 30260, 7551, 8330, 4819, 488, 125, 132, 6560, 1530, 2340, 18716, 1824, 186, 1114, 2021, 197, 11180, 1323, 1202, 28702, 6907, 259, 18334, 29356, 1186, 6534, 17098, 119, 488, 129, 126, 6560, 15976, 12954, 1228, 186, 13575, 1150, 1423, 27146, 1128, 2086, 4597, 1123, 1265, 2086, 8666, 7613, 1323, 1200, 21088, 1323, 27993, 1674, 1724, 1323, 1200, 1700, 2086, 1186, 9225, 30260, 7551, 8330, 4819, 488, 127, 126, 6560, 2073, 1289, 1431, 1114, 2021, 197, 1265, 2086, 1186, 1995, 17098, 119, 488, 129, 124, 6560, 8535, 16050, 2086, 1186, 2429, 30260, 7551, 8330, 4819, 488, 126, 128, 6560, 1530, 2340, 178, 1150, 2081, 12954, 1228, 2086, 1186, 2490, 30260, 7551, 17098, 17098, 119, 488, 129, 132, 6560, 1566, 1312, 11497, 24364, 2206, 173, 7056, 1186, 6534, 2687, 2035, 1172, 8330, 4819, 488, 124, 123, 123, 6560, 1530, 2340, 18716, 1824, 186, 1557, 20297, 2086, 1186, 1338, 2687, 2035, 1172, 17098, 119, 488, 126, 125, 6560, 1530, 2340, 178, 1150, 1111, 2322, 21160, 29356, 1186, 1995, 2687, 2035, 1172, 8330, 4819, 488, 128, 132, 6560, 20021, 1199, 4384, 17683, 1292, 2086, 1186, 1158, 2687, 2035, 1172, 17098, 119, 488, 127, 124, 6560, 1489, 1700, 30679, 1191, 9427, 1123, 1810, 1186, 2490, 8330, 4819, 488, 124, 126, 6560, 1530, 2340, 18716, 1824, 2086, 1186, 6534, 2687, 2035, 1172, 17098, 119, 488, 126, 128, 6560, 20021, 1199, 4384, 3405, 1291, 8117, 1186, 9225, 8330, 4819, 488, 128, 126, 6560, 2105, 1104, 1716, 4080, 1965, 8571, 12954, 1228, 186, 13575, 19074, 1186, 1995, 2687, 2035, 1172, 17098, 119, 488, 128, 130, 6560, 1628, 2021, 197, 1265, 2181, 8571, 12954, 1228, 186, 13575, 19074, 1186, 2429, 8330, 4819, 488, 129, 125, 6560, 20021, 2009, 1114, 1531, 1108, 1178, 2086, 1186, 2490, 17098, 119, 488, 126, 123, 6560, 1530, 2340, 178, 1150, 4014, 186, 1159, 1323, 14524, 186, 18334, 1756, 121, 1918, 1780, 5907, 1323, 1202, 5200, 1470, 24364, 6907, 259, 18334, 1756, 1323, 1202, 28702, 2467, 186, 18334, 1756, 3145, 1186, 1338, 8330, 4819, 488, 124, 123, 128, 6560, 1388, 282, 10843, 1125, 1222, 4481, 1164, 1518, 1219, 1366, 193, 15344, 6975, 1219, 1366, 193, 15344, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 18687, 1836, 1125, 20762, 1124, 1266, 2012, 5160, 1362, 1252, 192, 146, 488, 126, 128, 123, 1266, 2012, 5160, 1299, 1189, 12184, 1125, 31726, 1197, 17560, 20762, 1124, 1125, 11350, 1173, 1175, 126, 1293, 20756, 116, 3902, 1317, 2151, 7542, 1158, 22925, 12507, 10999, 1215, 1207, 24625, 2082, 1297, 6280, 10533, 1110, 1913, 5931, 1277, 2638, 3817, 21090, 20020, 1110, 3294, 19829, 1189, 20762, 1124, 1306, 125, 158, 1167, 1594, 6354, 31092, 1105, 1188, 25031, 1348, 2750, 6577, 10535, 1160, 2335, 13513, 8851, 1107, 14898, 2391, 2335, 1501, 1176, 1300, 1165, 16442, 1207, 488, 125, 1167, 488, 126, 121, 4511, 3862, 1125, 31514, 1197, 3647, 16784, 17282, 177, 4876, 1108, 1110, 3294, 13087, 1189, 1338, 3423, 1836, 4077, 1188, 19705, 14584, 13348, 1266, 2012, 5160, 1167, 1318, 3451, 1408, 18836, 1469, 1318, 1408, 3828, 14584, 1167, 1318, 6742, 17920, 13348, 1518, 1121, 177, 192, 1388, 26630, 2093, 2524, 1250, 4841, 5542, 1125, 1266, 2012, 1180, 2004, 1913, 2513, 1297, 1548, 1266, 2012, 1180, 2397, 3031, 1189, 18687, 1836, 15519, 1256, 1207, 1270, 12783, 1125, 7005, 1309, 10276, 3662, 1370, 2290, 1189, 20762, 8243, 1300, 1170, 18158, 187, 5210, 1768, 3611, 1370, 1125, 2195, 1213, 31395, 1197, 20762, 2289, 1306, 125, 158, 1197, 13513, 8851, 1201, 11181, 10772, 1643, 3451, 2397, 157, 3031, 24329, 1300, 1158, 13458, 1197, 1270, 12783, 1125, 7005, 1256, 1207, 1305, 3389, 1125, 8823, 10928, 1197, 1270, 12783, 1125, 7005, 1867, 21549, 1292, 1265, 17884, 1134, 13729, 1125, 1158, 1248, 7761, 1357, 1945, 2457, 1197, 20762, 2289, 5542, 6396, 148, 1204, 11171, 4996, 1718, 4298, 3451, 20555, 1266, 2012, 1180, 1405, 119, 1362, 1252, 192, 13367, 130, 119, 1110, 1913, 2350, 6407, 1571, 28353, 1554, 1405, 2687, 186, 2303, 1256, 1964, 6292, 1304, 7197, 13302, 1571, 3497, 1486, 3023, 12431, 6542, 1167, 1571, 2968, 5702, 4480, 15920, 121, 26653, 1188, 21396, 2585, 3342, 1186, 15935, 9377, 3392, 1207, 1405, 3551, 186, 2707, 6096, 1300, 1158, 2968, 6571, 1167, 1170, 1266, 2012, 1180, 1964, 2985, 1125, 1996, 1304, 3209, 6957, 1867, 6698, 1207, 20762, 2289, 1125, 9293, 4480, 10238, 11181, 2097, 1931, 7085, 1125, 1158, 16618, 1304, 3879, 1304, 13354, 1125, 488, 126, 1188, 4421, 1125, 488, 124, 123, 1188, 1996, 5639, 1317, 3013, 2585, 1207, 28353, 1554, 10816, 190, 7810, 18741, 2770, 18687, 1836, 1297, 1867, 1440, 11012, 1158, 3451, 1408, 17706, 1120, 4290, 1303, 5530, 8976, 1188, 1996, 5639, 1188, 1440, 13144, 1170, 1518, 1121, 177, 4353, 2985, 1996, 13409, 8509, 3401, 1511, 190, 15624, 4367, 1266, 2012, 1180, 1110, 1913, 3499, 1188, 1125, 5087, 2167, 1120, 1313, 1207, 1177, 4119, 3220, 2585, 1527, 1281, 5428, 1370, 3658, 3502, 1643, 4372, 1125, 2008, 8110, 2985, 8709, 29637, 1158, 3908, 13565, 10791, 1266, 2012, 1180, 1299, 2595, 1313, 1158, 6311, 5601, 1227, 5047, 5645, 1132, 1161, 16131, 1121, 1167, 3233, 1823, 30633, 1215, 1170, 30665, 2038, 11488, 1167, 20117, 20544, 11052, 1424, 5144, 12109, 1836, 1125, 20762, 1124, 1173, 4166, 1230, 106, 1233, 1514, 1415, 1197, 4312, 1159, 1541, 106, 1266, 20042, 181, 1193, 175, 1194, 16242, 1124, 1125, 1158, 22925, 12507, 10999, 5526, 4492, 1460, 11894, 1628, 1168, 3879, 12507, 10999, 5383, 1843, 1167, 5059, 11734, 1232, 1160, 1227, 17220, 3555, 1863, 1507, 114, 32001, 1424, 32000, 20036, 3616, 1266, 2012, 1180, 20762, 1124, 15698, 4834, 1329, 1252, 192, 146, 488, 126, 128, 123, 1266, 2012, 5160, 1239, 1110, 6585, 1226, 15698, 1149, 20762, 1124, 28920, 1147, 1135, 1173, 6806, 1175, 126, 1293, 20756, 116, 9828, 3545, 5055, 6832, 4988, 1449, 1135, 28047, 13609, 14835, 3195, 7905, 2638, 2043, 1135, 7927, 26017, 1463, 4554, 1163, 17382, 1151, 1306, 125, 158, 20762, 1124, 1171, 2019, 25031, 1406, 6354, 1130, 2548, 2470, 1110, 9324, 1138, 20698, 2669, 21789, 3545, 1110, 1501, 1176, 1238, 1165, 16442, 1238, 1135, 488, 125, 4802, 1171, 488, 126, 189, 5108, 27677, 1238, 1135, 5705, 1161, 1135, 8898, 1285, 17282, 177, 4876, 1108, 1463, 4554, 1163, 3381, 1110, 4912, 8998, 1678, 4077, 28665, 4494, 1266, 2012, 5160, 1171, 1110, 1792, 5353, 3451, 1324, 9295, 2933, 1171, 4233, 22128, 4494, 1518, 1121, 177, 192, 1388, 26810, 24367, 1963, 3259, 4841, 1161, 1266, 2012, 1180, 2025, 2250, 3078, 1410, 1266, 2012, 1180, 2397, 1463, 1110, 15698, 1121, 9828, 1226, 5833, 8394, 1201, 1302, 1463, 14324, 2670, 1110, 20762, 1544, 1238, 1135, 18158, 187, 5210, 1988, 8304, 1226, 1135, 20859, 1161, 20762, 1124, 28920, 1446, 9324, 1138, 1137, 3232, 27390, 1324, 1306, 125, 158, 20762, 13649, 1410, 2397, 157, 3451, 1463, 1127, 17873, 1238, 1135, 18112, 1161, 5833, 8394, 1201, 1163, 15657, 2182, 1161, 1135, 6333, 1161, 1248, 7761, 1867, 21549, 1292, 1265, 17884, 1134, 13729, 5833, 8394, 1201, 1758, 2629, 3259, 20762, 2289, 6396, 148, 1204, 11171, 4996, 4023, 140, 3451, 4494, 1266, 2012, 1180, 1405, 119, 1329, 1252, 192, 13367, 130, 119, 1463, 18396, 1163, 1405, 2687, 186, 1128, 1994, 4540, 2252, 1163, 2661, 2182, 3516, 2240, 4184, 3497, 2966, 190, 1171, 16200, 1132, 1683, 1462, 1457, 6067, 1449, 1135, 1907, 1799, 2025, 27390, 1324, 6409, 1405, 2687, 186, 1889, 2025, 1238, 1135, 1683, 6571, 1171, 1266, 2012, 1180, 1463, 1161, 4433, 2179, 1163, 8148, 30128, 9324, 16200, 1132, 16611, 20762, 2289, 1114, 3061, 3437, 1446, 1151, 29804, 1144, 18630, 2362, 1161, 488, 126, 1163, 3575, 488, 124, 123, 1355, 1135, 2994, 1907, 7927, 1994, 4540, 2252, 6971, 1789, 15698, 16898, 3187, 1110, 20326, 1135, 1792, 31776, 1589, 3451, 15157, 3575, 1302, 6605, 1135, 1518, 1121, 177, 4353, 1463, 31025, 2629, 31265, 5748, 190, 14860, 1266, 2012, 1180, 2935, 1463, 1268, 1438, 1163, 15130, 3756, 5683, 190, 1147, 1135, 1166, 22220, 3220, 1147, 1758, 1341, 1463, 2629, 121, 8431, 6479, 2484, 8279, 1463, 5849, 6649, 7015, 3908, 3616, 1266, 2012, 1180, 1239, 19802, 1147, 1135, 2423, 5601, 1161, 1135, 3654, 5645, 1132, 1161, 16131, 1121, 1171, 3210, 1280, 30505, 1449, 1135, 30665, 22676, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 1266, 2012, 1180, 20762, 1124, 15698, 4834, 1329, 1252, 192, 146, 488, 126, 128, 123, 1266, 2012, 5160, 1239, 1110, 6585, 1226, 15698, 1149, 20762, 1124, 28920, 1147, 1135, 1173, 6806, 1175, 126, 1293, 20756, 116, 9828, 3545, 5055, 6832, 4988, 1449, 1135, 28047, 13609, 14835, 3195, 7905, 2638, 2043, 1135, 7927, 26017, 1463, 4554, 1163, 17382, 1151, 1306, 125, 158, 20762, 1124, 1171, 2019, 25031, 1406, 6354, 1130, 2548, 2470, 1110, 9324, 1138, 20698, 2669, 21789, 3545, 1110, 1501, 1176, 1238, 1165, 16442, 1238, 1135, 488, 125, 4802, 1171, 488, 126, 189, 5108, 27677, 1238, 1135, 5705, 1161, 1135, 8898, 1285, 17282, 177, 4876, 1108, 1463, 4554, 1163, 3381, 1110, 4912, 8998, 1678, 4077, 28665, 4494, 1266, 2012, 5160, 1171, 1110, 1792, 5353, 3451, 1324, 9295, 2933, 1171, 4233, 22128, 4494, 1518, 1121, 177, 192, 1388, 26810, 24367, 1963, 3259, 4841, 1161, 1266, 2012, 1180, 2025, 2250, 3078, 1410, 1266, 2012, 1180, 2397, 1463, 1110, 15698, 1121, 9828, 1226, 5833, 8394, 1201, 1302, 1463, 14324, 2670, 1110, 20762, 1544, 1238, 1135, 18158, 187, 5210, 1988, 8304, 1226, 1135, 20859, 1161, 20762, 1124, 28920, 1446, 9324, 1138, 1137, 3232, 27390, 1324, 1306, 125, 158, 20762, 13649, 1410, 2397, 157, 3451, 1463, 1127, 17873, 1238, 1135, 18112, 1161, 5833, 8394, 1201, 1163, 15657, 2182, 1161, 1135, 6333, 1161, 1248, 7761, 1867, 21549, 1292, 1265, 17884, 1134, 13729, 5833, 8394, 1201, 1758, 2629, 3259, 20762, 2289, 6396, 148, 1204, 11171, 4996, 4023, 140, 3451, 4494, 1266, 2012, 1180, 1405, 119, 1329, 1252, 192, 13367, 130, 119, 1463, 18396, 1163, 1405, 2687, 186, 1128, 1994, 4540, 2252, 1163, 2661, 2182, 3516, 2240, 4184, 3497, 2966, 190, 1171, 16200, 1132, 1683, 1462, 1457, 6067, 1449, 1135, 1907, 1799, 2025, 27390, 1324, 6409, 1405, 2687, 186, 1889, 2025, 1238, 1135, 1683, 6571, 1171, 1266, 2012, 1180, 1463, 1161, 4433, 2179, 1163, 8148, 30128, 9324, 16200, 1132, 16611, 20762, 2289, 1114, 3061, 3437, 1446, 1151, 29804, 1144, 18630, 2362, 1161, 488, 126, 1163, 3575, 488, 124, 123, 1355, 1135, 2994, 1907, 7927, 1994, 4540, 2252, 6971, 1789, 15698, 16898, 3187, 1110, 20326, 1135, 1792, 31776, 1589, 3451, 15157, 3575, 1302, 6605, 1135, 1518, 1121, 177, 4353, 1463, 31025, 2629, 31265, 5748, 190, 14860, 1266, 2012, 1180, 2935, 1463, 1268, 1438, 1163, 15130, 3756, 5683, 190, 1147, 1135, 1166, 22220, 3220, 1147, 1758, 1341, 1463, 2629, 121, 8431, 6479, 2484, 8279, 1463, 5849, 6649, 7015, 3908, 3616, 1266, 2012, 1180, 1239, 19802, 1147, 1135, 2423, 5601, 1161, 1135, 3654, 5645, 1132, 1161, 16131, 1121, 1171, 3210, 1280, 30505, 1449, 1135, 30665, 22676, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 18253, 1197, 4839, 11124, 1125, 18096, 288, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 19467, 365, 4598, 488, 334, 359, 352, 356, 5058, 7506, 367, 368, 2040, 1186, 1714, 1897, 25803, 1257, 10789, 16424, 2111, 116, 1281, 5209, 1188, 18096, 288, 119, 1313, 1158, 23361, 1125, 1204, 3979, 181, 4436, 1167, 1313, 1170, 10750, 1125, 18096, 288, 1342, 1810, 1186, 8649, 173, 4654, 3450, 1299, 27172, 1300, 1158, 4575, 1197, 19574, 3908, 4294, 31217, 1125, 1158, 7732, 1125, 8649, 22587, 1175, 9014, 5472, 26814, 488, 129, 131, 125, 4023, 4929, 13700, 15624, 18253, 1299, 8446, 1300, 1170, 2168, 178, 1498, 5663, 8051, 7829, 4436, 17043, 2320, 1227, 10973, 28562, 1576, 1768, 1110, 1913, 15465, 23296, 1170, 1859, 1188, 15466, 1125, 1158, 15483, 18760, 1227, 488, 26305, 2247, 19371, 1125, 1158, 26053, 1125, 18096, 288, 26473, 1197, 7311, 174, 1297, 6053, 1318, 6885, 1227, 21359, 1836, 20313, 1145, 6678, 1109, 269, 180, 267, 1175, 124, 132, 123, 123, 120, 124, 132, 130, 132, 4023, 22507, 1594, 5230, 2944, 6678, 1109, 269, 180, 267, 1110, 8922, 6113, 1348, 1197, 6766, 11941, 1136, 1541, 1167, 21359, 1407, 1541, 1313, 1189, 3838, 1188, 1158, 2768, 18253, 1132, 1167, 3014, 7017, 1643, 3247, 11941, 1136, 1366, 1299, 1186, 1557, 1829, 7272, 1125, 1321, 2615, 1119, 5245, 1167, 1158, 3247, 21359, 1407, 1366, 1299, 1186, 21683, 121, 1643, 12770, 11316, 1186, 15515, 28238, 8363, 1303, 1313, 1170, 1557, 1829, 119, 1281, 19193, 1125, 3203, 1921, 1457, 1643, 3247, 13052, 1227, 18253, 11404, 1170, 1166, 1797, 23046, 1189, 7219, 1435, 1300, 1189, 14018, 1469, 1170, 28127, 1334, 1125, 1158, 9110, 9142, 1282, 10295, 1257, 1939, 1653, 17563, 1281, 5209, 1318, 1360, 1439, 1186, 4392, 120, 4740, 6625, 8501, 1227, 5719, 1335, 5242, 11404, 4357, 9591, 17310, 270, 20125, 267, 1313, 1158, 16535, 1227, 2383, 488, 268, 176, 8188, 1175, 124, 131, 123, 132, 116, 7041, 1227, 5719, 8030, 119, 18965, 9177, 16959, 288, 180, 267, 1469, 1170, 1113, 2249, 13272, 1124, 1209, 182, 3007, 1651, 180, 267, 1317, 3013, 1227, 7340, 19824, 1125, 18096, 288, 1186, 488, 124, 131, 130, 127, 2040, 1300, 1207, 2069, 2905, 13807, 3392, 1188, 21204, 1167, 1188, 1282, 1118, 7965, 1508, 4018, 1234, 1207, 12420, 8805, 1188, 1158, 26053, 1125, 1158, 3837, 1125, 488, 124, 131, 123, 132, 1188, 488, 124, 132, 124, 131, 121, 1653, 17563, 1125, 1158, 1360, 1439, 1281, 16552, 5999, 20566, 4842, 12260, 1257, 1170, 1714, 1160, 1197, 1458, 7306, 2518, 1125, 488, 124, 131, 130, 127, 119, 24570, 1227, 10973, 28562, 1469, 21090, 1188, 18096, 288, 1186, 488, 124, 131, 130, 130, 119, 1170, 1714, 1160, 1227, 2132, 1129, 23062, 1186, 488, 124, 132, 124, 127, 1188, 18096, 288, 1167, 24570, 1227, 10973, 6780, 1167, 1125, 1594, 8658, 23062, 1186, 488, 124, 132, 124, 131, 1313, 18096, 288, 2539, 10641, 24890, 1194, 11333, 5888, 176, 1424, 3335, 3375, 3908, 4294, 1227, 10750, 1125, 18096, 288, 4424, 4713, 1120, 6444, 3006, 4979, 1125, 8649, 22587, 1750, 1487, 6630, 1125, 8649, 22587, 1720, 2035, 1941, 1125, 1158, 16880, 12507, 10999, 1186, 8649, 22587, 1628, 2652, 11316, 1186, 8649, 22587, 11301, 2070, 16191, 30645, 1186, 8649, 22587, 11301, 2070, 16191, 1188, 1204, 3979, 181, 4436, 114, 32001, 1424, 32000, 20036, 3616, 3335, 2070, 1161, 1135, 16424, 5607, 1161, 18096, 288, 9512, 8649, 173, 2323, 1165, 7490, 1292, 1146, 133, 19467, 365, 4598, 488, 334, 359, 352, 356, 5058, 7506, 367, 368, 134, 1147, 8649, 173, 2323, 14136, 133, 10789, 16424, 2111, 116, 1239, 8452, 1147, 18096, 288, 119, 1147, 1135, 7389, 3258, 1161, 1204, 3979, 181, 4436, 1171, 1147, 1135, 18096, 288, 4424, 10750, 119, 8649, 173, 9236, 1988, 1239, 14347, 1296, 1110, 8356, 14103, 18253, 1161, 1135, 9629, 1161, 8649, 173, 1575, 1175, 16698, 26814, 488, 129, 131, 125, 4023, 155, 20997, 14860, 18253, 1239, 8452, 1238, 2168, 178, 1498, 5663, 8051, 7829, 4436, 14165, 1149, 28562, 17671, 1576, 1988, 1463, 1189, 1196, 4328, 1238, 1859, 1238, 1135, 7793, 1161, 1135, 27917, 1161, 1135, 11635, 1276, 27528, 1161, 1135, 7399, 1162, 1161, 18096, 288, 1446, 1135, 28177, 1297, 1988, 1239, 1110, 1870, 1161, 1135, 12770, 1595, 1121, 20313, 1145, 6678, 1109, 269, 180, 267, 1175, 124, 132, 123, 123, 120, 124, 132, 130, 132, 4023, 1428, 1765, 13035, 6678, 1109, 269, 180, 267, 20277, 1135, 1189, 1406, 1161, 11941, 7623, 1171, 21359, 7206, 6520, 1147, 1110, 3838, 1302, 1239, 3251, 18253, 1132, 1171, 1169, 21912, 121, 1410, 11941, 7623, 1910, 1239, 3062, 1161, 5861, 1321, 2615, 1119, 5245, 1557, 1599, 1171, 1135, 21359, 7206, 1910, 1239, 1147, 21683, 121, 1410, 21683, 12770, 1595, 3988, 20933, 2127, 1135, 1557, 1599, 119, 11395, 1161, 3337, 1910, 1297, 1410, 14266, 1910, 1161, 1135, 18253, 13601, 1135, 2067, 1132, 5242, 1110, 7219, 4424, 1238, 1110, 22778, 1324, 1135, 9020, 1161, 15144, 1280, 5708, 1135, 15224, 133, 7484, 17551, 5607, 4095, 5371, 1246, 1239, 1110, 2533, 19817, 1131, 2348, 2174, 27609, 1238, 1135, 10553, 28339, 13601, 4357, 9591, 17310, 270, 20125, 267, 1147, 1135, 25987, 1161, 13296, 488, 268, 176, 8188, 1175, 124, 131, 123, 132, 116, 10059, 1238, 1135, 10537, 28339, 18965, 9177, 16959, 288, 180, 267, 1324, 1135, 1674, 1182, 13272, 1124, 1209, 182, 3007, 1651, 180, 267, 3545, 1135, 18096, 288, 1426, 7434, 1149, 1147, 488, 124, 131, 130, 127, 134, 1238, 1135, 2017, 2197, 1114, 17942, 1163, 1135, 19718, 1171, 1144, 7965, 7408, 7633, 1163, 1135, 7399, 1162, 1161, 1135, 5100, 1446, 488, 124, 131, 123, 132, 1163, 488, 124, 132, 124, 131, 1393, 2302, 20195, 121, 5371, 1246, 1135, 1131, 2348, 2174, 1393, 3663, 20566, 4842, 4765, 9513, 1135, 1143, 1495, 1161, 1135, 1458, 7306, 5607, 1161, 488, 124, 131, 130, 127, 119, 1135, 7936, 1161, 7472, 28562, 1171, 1135, 26017, 2127, 18096, 288, 1147, 488, 124, 131, 130, 130, 119, 1135, 1143, 1495, 1161, 5158, 1129, 23479, 1147, 488, 124, 132, 124, 127, 1147, 18096, 288, 119, 1171, 1135, 7936, 1161, 7472, 10948, 1171, 1765, 1594, 23479, 2127, 7399, 1589, 18096, 288, 1147, 488, 124, 132, 124, 131, 1388, 1891, 9520, 1194, 12225, 1589, 3477, 1505, 14803, 19574, 1147, 1135, 18096, 288, 4424, 10750, 4713, 180, 288, 6444, 3006, 3258, 1161, 8649, 173, 1575, 6975, 1149, 5336, 1161, 8649, 173, 1575, 21122, 1696, 1161, 5055, 6832, 1209, 1147, 8649, 173, 1575, 1628, 2652, 11316, 1147, 8649, 173, 1575, 5383, 15170, 14103, 18253, 1147, 8649, 173, 1575, 1505, 14803, 18253, 1147, 1204, 3979, 181, 4436, 4297, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 3335, 2070, 1161, 1135, 16424, 5607, 1161, 18096, 288, 9512, 8649, 173, 2323, 1165, 7490, 1292, 1146, 133, 19467, 365, 4598, 488, 334, 359, 352, 356, 5058, 7506, 367, 368, 134, 1147, 8649, 173, 2323, 14136, 133, 10789, 16424, 2111, 116, 1239, 8452, 1147, 18096, 288, 119, 1147, 1135, 7389, 3258, 1161, 1204, 3979, 181, 4436, 1171, 1147, 1135, 18096, 288, 4424, 10750, 119, 8649, 173, 9236, 1988, 1239, 14347, 1296, 1110, 8356, 14103, 18253, 1161, 1135, 9629, 1161, 8649, 173, 1575, 1175, 16698, 26814, 488, 129, 131, 125, 4023, 155, 20997, 14860, 18253, 1239, 8452, 1238, 2168, 178, 1498, 5663, 8051, 7829, 4436, 14165, 1149, 28562, 17671, 1576, 1988, 1463, 1189, 1196, 4328, 1238, 1859, 1238, 1135, 7793, 1161, 1135, 27917, 1161, 1135, 11635, 1276, 27528, 1161, 1135, 7399, 1162, 1161, 18096, 288, 1446, 1135, 28177, 1297, 1988, 1239, 1110, 1870, 1161, 1135, 12770, 1595, 1121, 20313, 1145, 6678, 1109, 269, 180, 267, 1175, 124, 132, 123, 123, 120, 124, 132, 130, 132, 4023, 1428, 1765, 13035, 6678, 1109, 269, 180, 267, 20277, 1135, 1189, 1406, 1161, 11941, 7623, 1171, 21359, 7206, 6520, 1147, 1110, 3838, 1302, 1239, 3251, 18253, 1132, 1171, 1169, 21912, 121, 1410, 11941, 7623, 1910, 1239, 3062, 1161, 5861, 1321, 2615, 1119, 5245, 1557, 1599, 1171, 1135, 21359, 7206, 1910, 1239, 1147, 21683, 121, 1410, 21683, 12770, 1595, 3988, 20933, 2127, 1135, 1557, 1599, 119, 11395, 1161, 3337, 1910, 1297, 1410, 14266, 1910, 1161, 1135, 18253, 13601, 1135, 2067, 1132, 5242, 1110, 7219, 4424, 1238, 1110, 22778, 1324, 1135, 9020, 1161, 15144, 1280, 5708, 1135, 15224, 133, 7484, 17551, 5607, 4095, 5371, 1246, 1239, 1110, 2533, 19817, 1131, 2348, 2174, 27609, 1238, 1135, 10553, 28339, 13601, 4357, 9591, 17310, 270, 20125, 267, 1147, 1135, 25987, 1161, 13296, 488, 268, 176, 8188, 1175, 124, 131, 123, 132, 116, 10059, 1238, 1135, 10537, 28339, 18965, 9177, 16959, 288, 180, 267, 1324, 1135, 1674, 1182, 13272, 1124, 1209, 182, 3007, 1651, 180, 267, 3545, 1135, 18096, 288, 1426, 7434, 1149, 1147, 488, 124, 131, 130, 127, 134, 1238, 1135, 2017, 2197, 1114, 17942, 1163, 1135, 19718, 1171, 1144, 7965, 7408, 7633, 1163, 1135, 7399, 1162, 1161, 1135, 5100, 1446, 488, 124, 131, 123, 132, 1163, 488, 124, 132, 124, 131, 1393, 2302, 20195, 121, 5371, 1246, 1135, 1131, 2348, 2174, 1393, 3663, 20566, 4842, 4765, 9513, 1135, 1143, 1495, 1161, 1135, 1458, 7306, 5607, 1161, 488, 124, 131, 130, 127, 119, 1135, 7936, 1161, 7472, 28562, 1171, 1135, 26017, 2127, 18096, 288, 1147, 488, 124, 131, 130, 130, 119, 1135, 1143, 1495, 1161, 5158, 1129, 23479, 1147, 488, 124, 132, 124, 127, 1147, 18096, 288, 119, 1171, 1135, 7936, 1161, 7472, 10948, 1171, 1765, 1594, 23479, 2127, 7399, 1589, 18096, 288, 1147, 488, 124, 132, 124, 131, 1388, 1891, 9520, 1194, 12225, 1589, 3477, 1505, 14803, 19574, 1147, 1135, 18096, 288, 4424, 10750, 4713, 180, 288, 6444, 3006, 3258, 1161, 8649, 173, 1575, 6975, 1149, 5336, 1161, 8649, 173, 1575, 21122, 1696, 1161, 5055, 6832, 1209, 1147, 8649, 173, 1575, 1628, 2652, 11316, 1147, 8649, 173, 1575, 5383, 15170, 14103, 18253, 1147, 8649, 173, 1575, 1505, 14803, 18253, 1147, 1204, 3979, 181, 4436, 4297, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 1598, 6433, 2645, 1119, 1173, 16825, 1161, 11140, 196, 9512, 14136, 133, 7114, 2416, 25139, 16010, 29701, 6433, 2645, 1132, 3282, 1252, 2993, 1124, 1255, 1204, 3389, 1146, 16297, 4735, 116, 1393, 1110, 16392, 1533, 1926, 14511, 7668, 2416, 1162, 1161, 15851, 1171, 8923, 1870, 10177, 7055, 14860, 7668, 2416, 1162, 1463, 20883, 1449, 30306, 26417, 1248, 1456, 1141, 1175, 124, 131, 124, 127, 120, 124, 131, 130, 126, 116, 1171, 1765, 17969, 9259, 7602, 1918, 16330, 1175, 124, 131, 125, 129, 120, 124, 131, 130, 131, 116, 1238, 7357, 488, 124, 127, 119, 488, 124, 131, 128, 129, 1147, 1202, 3382, 1175, 3681, 6110, 7726, 116, 1238, 1135, 13798, 1161, 20583, 8486, 1163, 4493, 4075, 9247, 1163, 12529, 15733, 1171, 1163, 3660, 1226, 1135, 22515, 119, 7426, 1147, 13768, 20022, 3703, 1938, 5633, 10585, 1410, 4767, 3520, 1226, 1135, 23856, 1463, 3397, 1238, 5696, 488, 126, 124, 119, 488, 124, 131, 128, 129, 1449, 1202, 2249, 1202, 10737, 1209, 163, 121, 2502, 7327, 488, 131, 1161, 1135, 2994, 8641, 1135, 25100, 5868, 1135, 2220, 2236, 3423, 24852, 1125, 3281, 10935, 1171, 3062, 2067, 14511, 2453, 1355, 1135, 11024, 1161, 2067, 3343, 1276, 1657, 1410, 7668, 2416, 1162, 11655, 8568, 1135, 1239, 12906, 27242, 2060, 1226, 1433, 14668, 1449, 1135, 2283, 1161, 1135, 31046, 1171, 1463, 14553, 1589, 1324, 1135, 6433, 2645, 1119, 27892, 14545, 1147, 488, 124, 132, 125, 124, 6043, 7893, 1148, 6971, 4105, 1132, 19936, 1238, 6384, 488, 126, 119, 488, 124, 131, 129, 124, 1446, 1202, 2249, 1202, 10737, 1209, 163, 121, 1410, 2712, 1807, 1463, 5253, 1163, 1135, 1233, 21681, 1161, 20583, 174, 1810, 1663, 1226, 14617, 16851, 119, 1135, 7668, 2416, 1162, 12702, 1163, 1280, 2670, 28565, 1104, 1119, 17803, 4945, 488, 124, 132, 125, 124, 119, 2043, 1135, 2712, 1807, 1463, 3218, 15776, 1226, 1135, 19158, 1161, 1135, 7668, 2416, 1162, 1163, 2017, 7780, 1161, 1135, 12556, 1459, 488, 124, 132, 125, 125, 119, 1799, 20883, 1135, 1940, 21642, 1147, 3870, 20004, 1810, 1171, 24967, 1163, 2274, 2621, 3621, 5485, 10034, 1762, 1171, 7219, 3770, 2181, 1459, 1135, 7515, 120, 125, 123, 1276, 31046, 1799, 13032, 21642, 1147, 14136, 10123, 18898, 1963, 6433, 2645, 1119, 1173, 16825, 1161, 11140, 1762, 18851, 5863, 3436, 4911, 1141, 1175, 124, 131, 132, 132, 120, 124, 132, 126, 129, 116, 1171, 19875, 2340, 1248, 1770, 13096, 1248, 1456, 1190, 1175, 124, 132, 123, 126, 120, 124, 132, 126, 129, 1496, 1557, 1433, 13166, 1161, 1135, 18451, 17684, 1325, 5567, 2025, 1280, 3193, 2295, 1449, 1202, 2249, 6507, 1156, 1993, 11402, 148, 1238, 7357, 488, 125, 132, 119, 488, 125, 123, 123, 129, 1388, 25890, 2695, 1171, 11655, 14860, 1114, 16825, 1393, 14874, 1163, 5468, 2267, 15681, 1171, 9835, 20442, 6043, 196, 1393, 4143, 1147, 2938, 144, 7289, 133, 3621, 5485, 23569, 1827, 3150, 8118, 17089, 1289, 4741, 4909, 22217, 4873, 192, 6043, 6970, 5360, 1239, 1147, 19682, 6649, 488, 125, 123, 124, 130, 119, 1135, 7668, 2416, 1162, 2055, 488, 125, 124, 124, 1114, 16825, 1147, 488, 127, 123, 21642, 1388, 1891, 9520, 12498, 1495, 8189, 15389, 7668, 2416, 1162, 1505, 1495, 8189, 15851, 7668, 2416, 1162, 16213, 1452, 2645, 1119, 4772, 28981, 2615, 3522, 1147, 488, 124, 131, 128, 129, 114, 32001, 1424, 32000, 20036, 2608, 7962, 2645, 2915, 13257, 1125, 1158, 24565, 4076, 6993, 7216, 25803, 1257, 7114, 2416, 25139, 16010, 29701, 6433, 2645, 1132, 3282, 1252, 2993, 1124, 1255, 1204, 3389, 1146, 16297, 4735, 116, 1508, 1318, 1191, 4818, 19311, 26817, 30284, 14986, 2009, 1167, 8923, 1774, 1125, 3090, 16392, 1533, 1926, 10177, 15376, 1194, 3562, 1191, 4818, 19311, 1299, 16512, 1215, 1170, 9159, 26417, 1248, 1456, 1141, 1175, 124, 131, 124, 127, 120, 124, 131, 130, 126, 116, 1167, 1561, 25605, 9259, 7602, 1918, 16330, 1175, 124, 131, 125, 129, 120, 124, 131, 130, 131, 116, 1170, 488, 124, 127, 2822, 488, 124, 131, 128, 129, 1188, 1202, 3382, 1175, 3681, 6110, 7726, 116, 1300, 23684, 1125, 20583, 1244, 1256, 5518, 1318, 27180, 11816, 1571, 13257, 31467, 1167, 13189, 1197, 9309, 1571, 6269, 1346, 1186, 6564, 1313, 1207, 20022, 21560, 1442, 1234, 1125, 2797, 5197, 121, 2576, 16162, 1125, 28453, 3618, 1913, 15762, 1170, 488, 126, 124, 2829, 488, 124, 131, 128, 129, 1215, 1170, 28679, 1202, 1214, 1209, 163, 121, 1548, 488, 131, 2875, 1125, 1158, 2076, 13407, 1158, 3080, 7886, 5909, 1170, 1874, 1125, 2236, 3423, 24852, 1125, 13811, 10935, 1167, 1844, 1561, 2453, 26817, 1197, 12220, 1125, 1594, 15722, 121, 1643, 1191, 4818, 19311, 2368, 27563, 1188, 2797, 1282, 249, 3476, 5906, 12397, 1408, 1125, 5397, 2009, 22161, 1188, 1158, 1622, 1227, 6298, 1167, 25005, 189, 7541, 1317, 1198, 2007, 120, 3765, 13976, 7962, 2645, 1262, 1186, 488, 124, 132, 125, 124, 18726, 1554, 8234, 14882, 1170, 7918, 1125, 11261, 1678, 1170, 488, 126, 2798, 488, 124, 131, 129, 124, 1227, 28679, 1202, 1214, 1209, 163, 121, 1548, 7918, 1299, 15367, 1188, 21804, 17215, 1125, 20583, 5161, 1723, 1256, 1318, 4262, 2743, 18596, 3955, 1158, 1191, 4818, 19311, 4216, 1188, 1823, 1125, 3090, 28565, 1234, 1262, 22571, 488, 124, 132, 125, 124, 119, 5910, 2585, 10276, 11083, 1125, 7918, 1125, 11261, 1678, 1440, 1357, 1110, 7545, 3871, 187, 13235, 1125, 1158, 1191, 4818, 19311, 1313, 5610, 5737, 1227, 15153, 1653, 488, 124, 132, 125, 125, 119, 5138, 3080, 1129, 1207, 9881, 14855, 1188, 3870, 1121, 5161, 2648, 2368, 6147, 1129, 1186, 21593, 18636, 1366, 2648, 1186, 20375, 1167, 1317, 13728, 121, 3767, 8007, 1227, 23841, 19565, 5138, 4783, 2089, 1197, 14855, 1186, 23777, 4123, 1314, 31265, 1250, 5402, 17333, 7962, 2645, 2915, 13257, 1125, 1158, 24565, 4076, 6993, 119, 18851, 5863, 3436, 4911, 1141, 1175, 124, 131, 132, 132, 120, 124, 132, 126, 129, 116, 1167, 19875, 2340, 1248, 1770, 13096, 1248, 1456, 1190, 1175, 124, 132, 123, 126, 120, 124, 132, 126, 129, 1496, 1557, 1433, 1312, 1125, 1158, 6545, 10015, 13870, 12057, 1508, 1138, 244, 3193, 14093, 1215, 1170, 28679, 31443, 19877, 11402, 148, 1170, 488, 125, 132, 2822, 488, 125, 123, 123, 129, 1388, 3742, 8494, 1167, 11473, 1194, 4455, 1114, 21113, 1281, 9331, 2089, 1188, 13102, 3467, 1197, 6346, 1167, 1571, 9309, 1125, 4509, 1388, 144, 10373, 1508, 14931, 1186, 8623, 144, 7289, 1257, 10665, 11438, 20375, 1827, 18337, 1257, 17089, 1289, 2620, 24884, 28940, 1118, 10803, 4685, 7400, 1299, 1188, 19682, 8370, 488, 125, 123, 124, 130, 119, 1158, 1191, 4818, 19311, 6036, 1370, 488, 125, 124, 124, 1114, 21113, 1313, 488, 127, 123, 14855, 11488, 1167, 5474, 25158, 1510, 11336, 1162, 22187, 30284, 1505, 1510, 11336, 1162, 14986, 2009, 22187, 2105, 22137, 7962, 2645, 2100, 2105, 1414, 1162, 1186, 488, 124, 131, 128, 129, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2608, 7962, 2645, 2915, 13257, 1125, 1158, 24565, 4076, 6993, 7216, 25803, 1257, 7114, 2416, 25139, 16010, 29701, 6433, 2645, 1132, 3282, 1252, 2993, 1124, 1255, 1204, 3389, 1146, 16297, 4735, 116, 1508, 1318, 1191, 4818, 19311, 26817, 30284, 14986, 2009, 1167, 8923, 1774, 1125, 3090, 16392, 1533, 1926, 10177, 15376, 1194, 3562, 1191, 4818, 19311, 1299, 16512, 1215, 1170, 9159, 26417, 1248, 1456, 1141, 1175, 124, 131, 124, 127, 120, 124, 131, 130, 126, 116, 1167, 1561, 25605, 9259, 7602, 1918, 16330, 1175, 124, 131, 125, 129, 120, 124, 131, 130, 131, 116, 1170, 488, 124, 127, 2822, 488, 124, 131, 128, 129, 1188, 1202, 3382, 1175, 3681, 6110, 7726, 116, 1300, 23684, 1125, 20583, 1244, 1256, 5518, 1318, 27180, 11816, 1571, 13257, 31467, 1167, 13189, 1197, 9309, 1571, 6269, 1346, 1186, 6564, 1313, 1207, 20022, 21560, 1442, 1234, 1125, 2797, 5197, 121, 2576, 16162, 1125, 28453, 3618, 1913, 15762, 1170, 488, 126, 124, 2829, 488, 124, 131, 128, 129, 1215, 1170, 28679, 1202, 1214, 1209, 163, 121, 1548, 488, 131, 2875, 1125, 1158, 2076, 13407, 1158, 3080, 7886, 5909, 1170, 1874, 1125, 2236, 3423, 24852, 1125, 13811, 10935, 1167, 1844, 1561, 2453, 26817, 1197, 12220, 1125, 1594, 15722, 121, 1643, 1191, 4818, 19311, 2368, 27563, 1188, 2797, 1282, 249, 3476, 5906, 12397, 1408, 1125, 5397, 2009, 22161, 1188, 1158, 1622, 1227, 6298, 1167, 25005, 189, 7541, 1317, 1198, 2007, 120, 3765, 13976, 7962, 2645, 1262, 1186, 488, 124, 132, 125, 124, 18726, 1554, 8234, 14882, 1170, 7918, 1125, 11261, 1678, 1170, 488, 126, 2798, 488, 124, 131, 129, 124, 1227, 28679, 1202, 1214, 1209, 163, 121, 1548, 7918, 1299, 15367, 1188, 21804, 17215, 1125, 20583, 5161, 1723, 1256, 1318, 4262, 2743, 18596, 3955, 1158, 1191, 4818, 19311, 4216, 1188, 1823, 1125, 3090, 28565, 1234, 1262, 22571, 488, 124, 132, 125, 124, 119, 5910, 2585, 10276, 11083, 1125, 7918, 1125, 11261, 1678, 1440, 1357, 1110, 7545, 3871, 187, 13235, 1125, 1158, 1191, 4818, 19311, 1313, 5610, 5737, 1227, 15153, 1653, 488, 124, 132, 125, 125, 119, 5138, 3080, 1129, 1207, 9881, 14855, 1188, 3870, 1121, 5161, 2648, 2368, 6147, 1129, 1186, 21593, 18636, 1366, 2648, 1186, 20375, 1167, 1317, 13728, 121, 3767, 8007, 1227, 23841, 19565, 5138, 4783, 2089, 1197, 14855, 1186, 23777, 4123, 1314, 31265, 1250, 5402, 17333, 7962, 2645, 2915, 13257, 1125, 1158, 24565, 4076, 6993, 119, 18851, 5863, 3436, 4911, 1141, 1175, 124, 131, 132, 132, 120, 124, 132, 126, 129, 116, 1167, 19875, 2340, 1248, 1770, 13096, 1248, 1456, 1190, 1175, 124, 132, 123, 126, 120, 124, 132, 126, 129, 1496, 1557, 1433, 1312, 1125, 1158, 6545, 10015, 13870, 12057, 1508, 1138, 244, 3193, 14093, 1215, 1170, 28679, 31443, 19877, 11402, 148, 1170, 488, 125, 132, 2822, 488, 125, 123, 123, 129, 1388, 3742, 8494, 1167, 11473, 1194, 4455, 1114, 21113, 1281, 9331, 2089, 1188, 13102, 3467, 1197, 6346, 1167, 1571, 9309, 1125, 4509, 1388, 144, 10373, 1508, 14931, 1186, 8623, 144, 7289, 1257, 10665, 11438, 20375, 1827, 18337, 1257, 17089, 1289, 2620, 24884, 28940, 1118, 10803, 4685, 7400, 1299, 1188, 19682, 8370, 488, 125, 123, 124, 130, 119, 1158, 1191, 4818, 19311, 6036, 1370, 488, 125, 124, 124, 1114, 21113, 1313, 488, 127, 123, 14855, 11488, 1167, 5474, 25158, 1510, 11336, 1162, 22187, 30284, 1505, 1510, 11336, 1162, 14986, 2009, 22187, 2105, 22137, 7962, 2645, 2100, 2105, 1414, 1162, 1186, 488, 124, 131, 128, 129, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12616, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 1299, 1189, 2385, 10536, 1129, 1125, 1158, 2811, 1196, 10793, 1125, 1158, 11961, 17451, 1125, 1158, 1233, 1366, 3603, 5685, 1281, 1275, 6028, 1300, 1158, 2811, 1196, 1299, 1125, 1158, 1138, 9312, 13076, 1506, 14720, 1317, 7130, 1125, 1518, 192, 14183, 21983, 1124, 1301, 2461, 121, 1643, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 2077, 1126, 2079, 1282, 1118, 7965, 2648, 1170, 18762, 1118, 7965, 1313, 2294, 1301, 184, 9143, 1531, 12118, 1313, 1170, 1266, 1145, 1342, 2461, 119, 1313, 1158, 3734, 9533, 1227, 6973, 14776, 120, 2834, 7607, 119, 1317, 28064, 1317, 6372, 29830, 18805, 10844, 1554, 2079, 1701, 8918, 1554, 1125, 1158, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 1508, 2232, 5719, 8030, 1257, 1177, 9895, 1334, 25518, 2461, 194, 1301, 11659, 1519, 2356, 5719, 1299, 1257, 17451, 4553, 1889, 2356, 5719, 7758, 1257, 3828, 17451, 1125, 1158, 1233, 1366, 1314, 2356, 5719, 1362, 1182, 1257, 1138, 9312, 13076, 1506, 2443, 10803, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11102, 1150, 9040, 1245, 1125, 3171, 1177, 9895, 1541, 1167, 6976, 6314, 11739, 25393, 1188, 29487, 1125, 1158, 17451, 4553, 1889, 2040, 1158, 3028, 1125, 8478, 1197, 14822, 11102, 1150, 10847, 1215, 23496, 1188, 5125, 488, 125, 123, 123, 1127, 1188, 29487, 1125, 1158, 17451, 4553, 1128, 1297, 1814, 4170, 12179, 2130, 1874, 7958, 1510, 5984, 1257, 488, 124, 7275, 2040, 30804, 1257, 488, 131, 128, 123, 1127, 116, 10845, 1170, 12179, 1125, 6425, 1125, 1158, 17451, 121, 1867, 14012, 1158, 17451, 2077, 1126, 2079, 1282, 7965, 2648, 2079, 1170, 8030, 119, 1300, 488, 126, 7275, 1186, 1425, 1854, 1199, 1318, 16489, 2487, 1170, 19121, 12669, 488, 124, 125, 126, 128, 1127, 1167, 1186, 4759, 1199, 3203, 6976, 1158, 8644, 27404, 3862, 1125, 1440, 4755, 4170, 1158, 7792, 1158, 17451, 2077, 1126, 2079, 29487, 18891, 1186, 3028, 3090, 1300, 488, 130, 7275, 7328, 1158, 1275, 7095, 2335, 1177, 9895, 1334, 28129, 1227, 8030, 121, 1548, 11389, 6441, 1125, 1158, 17451, 2077, 1126, 2079, 29487, 1300, 488, 124, 123, 1498, 5862, 1186, 13056, 1199, 1207, 14822, 1125, 3171, 1177, 9895, 4542, 9355, 1125, 1557, 1298, 1167, 6314, 11739, 121, 1643, 17451, 1138, 1221, 1136, 1244, 2079, 1170, 7758, 1300, 488, 128, 7275, 7328, 1158, 1776, 10536, 1419, 2335, 1177, 9895, 1334, 28129, 1227, 18762, 17778, 15518, 1158, 17451, 2077, 1126, 1300, 488, 124, 125, 7275, 2079, 1282, 1118, 7965, 2648, 1170, 18762, 13469, 7328, 1158, 1776, 10536, 1419, 2335, 3285, 11739, 28129, 1125, 1282, 17778, 22066, 8043, 6559, 1278, 1125, 1158, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 1299, 10019, 1188, 488, 130, 7275, 1186, 1675, 1258, 1125, 1282, 8043, 6559, 1278, 1125, 1158, 11961, 17451, 1125, 1158, 1233, 1366, 1314, 1388, 9748, 8150, 1214, 10791, 1163, 1614, 20028, 17451, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 1110, 1913, 6755, 4160, 1170, 488, 129, 2584, 488, 124, 132, 130, 131, 1188, 1158, 5204, 1125, 1163, 1614, 3291, 1214, 1227, 8579, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 11961, 17451, 1125, 1158, 1233, 1366, 27947, 1233, 9312, 13076, 1506, 2443, 1424, 1518, 192, 14183, 21983, 1124, 1301, 2461, 1424, 2294, 1301, 184, 9143, 1531, 1670, 7364, 5825, 25158, 1627, 11739, 1317, 6973, 14776, 120, 2834, 7607, 1628, 20744, 7684, 13034, 1460, 1125, 1158, 1138, 9312, 13076, 1506, 2443, 114, 32001, 1424, 32000, 20036, 3616, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 1110, 2693, 2479, 1626, 1161, 1135, 2626, 8617, 1161, 1135, 11023, 2294, 1366, 11662, 119, 1758, 7558, 190, 2127, 1135, 19718, 5054, 1161, 1306, 1506, 2443, 1233, 6234, 1147, 1135, 7130, 1161, 1518, 192, 14183, 21983, 1124, 1301, 2461, 121, 1410, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 7558, 190, 1144, 7965, 2491, 10553, 194, 7965, 2127, 2294, 1301, 184, 9143, 1531, 12118, 1147, 1266, 1145, 1342, 2461, 119, 1147, 1135, 6973, 14776, 120, 2834, 7607, 9533, 1978, 4986, 1147, 5947, 12910, 119, 6372, 1388, 13543, 11114, 3616, 12438, 1149, 30134, 2718, 190, 1161, 1135, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1393, 1339, 1163, 1135, 10537, 133, 25518, 2461, 194, 1301, 11659, 1519, 31687, 1236, 1163, 1135, 19718, 133, 4553, 1889, 11662, 1236, 1163, 1135, 10553, 133, 11023, 2294, 1366, 11662, 1236, 1163, 1135, 12961, 133, 1306, 1506, 2443, 9560, 6043, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 27857, 1449, 5057, 6419, 190, 1171, 3810, 23086, 1161, 4784, 8452, 1163, 1135, 12961, 1161, 1135, 4553, 1889, 11662, 134, 1135, 30134, 2718, 26168, 11059, 6333, 1149, 2155, 488, 125, 123, 123, 2367, 1201, 12961, 1161, 1135, 4553, 1889, 11662, 121, 1645, 26858, 5417, 3810, 31781, 1175, 4214, 133, 488, 124, 7275, 134, 30804, 133, 488, 131, 128, 123, 1127, 116, 1239, 1135, 3228, 16909, 31781, 1161, 1135, 16695, 121, 7752, 16381, 1135, 16695, 7558, 190, 19718, 119, 2491, 10537, 119, 1226, 488, 126, 1498, 5862, 1144, 8809, 3575, 1110, 21763, 1324, 1110, 3830, 4481, 1161, 488, 124, 125, 126, 128, 1127, 1171, 7634, 1149, 3337, 3810, 1158, 17428, 1388, 6937, 1413, 2977, 3810, 1158, 17566, 1135, 16695, 7558, 190, 12961, 17986, 1147, 1110, 11917, 2458, 1226, 488, 130, 7275, 1163, 1135, 1513, 7095, 1161, 1110, 6419, 7822, 1446, 1135, 10537, 121, 1410, 3314, 11389, 1161, 1135, 16695, 7558, 190, 12961, 1226, 488, 124, 123, 1498, 5862, 8102, 1149, 4784, 1446, 5057, 6419, 1285, 1557, 2393, 1393, 4277, 1171, 23086, 1161, 30000, 1410, 16695, 2491, 16719, 10553, 1226, 488, 128, 7275, 1163, 1135, 1776, 10536, 1419, 1161, 1110, 6419, 7822, 1446, 1135, 7080, 22629, 121, 1410, 16695, 2491, 7558, 190, 12961, 1226, 488, 124, 125, 1498, 5862, 2491, 10553, 14654, 1163, 1135, 1776, 10536, 1419, 1161, 1110, 6419, 7822, 1446, 1135, 19718, 2238, 18835, 1161, 1135, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 8452, 488, 130, 7275, 1806, 7859, 1446, 1135, 18835, 1161, 1135, 11023, 2294, 1366, 11662, 1388, 9748, 8150, 196, 3616, 1163, 1614, 3291, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1463, 6755, 2928, 1238, 7262, 488, 129, 119, 488, 124, 132, 130, 131, 119, 1449, 1135, 5947, 12910, 8726, 8150, 196, 5204, 1388, 21320, 1959, 106, 11023, 2294, 1366, 11662, 106, 1306, 1506, 2443, 9560, 106, 1518, 192, 14183, 21983, 1124, 1301, 2461, 106, 2294, 1301, 184, 9143, 1531, 1670, 1194, 26722, 4672, 2523, 162, 2078, 3642, 1147, 6973, 14776, 120, 2834, 7607, 3050, 1506, 2443, 9560, 7684, 13034, 1926, 2935, 109, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 1110, 2693, 2479, 1626, 1161, 1135, 2626, 8617, 1161, 1135, 11023, 2294, 1366, 11662, 119, 1758, 7558, 190, 2127, 1135, 19718, 5054, 1161, 1306, 1506, 2443, 1233, 6234, 1147, 1135, 7130, 1161, 1518, 192, 14183, 21983, 1124, 1301, 2461, 121, 1410, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 7558, 190, 1144, 7965, 2491, 10553, 194, 7965, 2127, 2294, 1301, 184, 9143, 1531, 12118, 1147, 1266, 1145, 1342, 2461, 119, 1147, 1135, 6973, 14776, 120, 2834, 7607, 9533, 1978, 4986, 1147, 5947, 12910, 119, 6372, 1388, 13543, 11114, 3616, 12438, 1149, 30134, 2718, 190, 1161, 1135, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1393, 1339, 1163, 1135, 10537, 133, 25518, 2461, 194, 1301, 11659, 1519, 31687, 1236, 1163, 1135, 19718, 133, 4553, 1889, 11662, 1236, 1163, 1135, 10553, 133, 11023, 2294, 1366, 11662, 1236, 1163, 1135, 12961, 133, 1306, 1506, 2443, 9560, 6043, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 27857, 1449, 5057, 6419, 190, 1171, 3810, 23086, 1161, 4784, 8452, 1163, 1135, 12961, 1161, 1135, 4553, 1889, 11662, 134, 1135, 30134, 2718, 26168, 11059, 6333, 1149, 2155, 488, 125, 123, 123, 2367, 1201, 12961, 1161, 1135, 4553, 1889, 11662, 121, 1645, 26858, 5417, 3810, 31781, 1175, 4214, 133, 488, 124, 7275, 134, 30804, 133, 488, 131, 128, 123, 1127, 116, 1239, 1135, 3228, 16909, 31781, 1161, 1135, 16695, 121, 7752, 16381, 1135, 16695, 7558, 190, 19718, 119, 2491, 10537, 119, 1226, 488, 126, 1498, 5862, 1144, 8809, 3575, 1110, 21763, 1324, 1110, 3830, 4481, 1161, 488, 124, 125, 126, 128, 1127, 1171, 7634, 1149, 3337, 3810, 1158, 17428, 1388, 6937, 1413, 2977, 3810, 1158, 17566, 1135, 16695, 7558, 190, 12961, 17986, 1147, 1110, 11917, 2458, 1226, 488, 130, 7275, 1163, 1135, 1513, 7095, 1161, 1110, 6419, 7822, 1446, 1135, 10537, 121, 1410, 3314, 11389, 1161, 1135, 16695, 7558, 190, 12961, 1226, 488, 124, 123, 1498, 5862, 8102, 1149, 4784, 1446, 5057, 6419, 1285, 1557, 2393, 1393, 4277, 1171, 23086, 1161, 30000, 1410, 16695, 2491, 16719, 10553, 1226, 488, 128, 7275, 1163, 1135, 1776, 10536, 1419, 1161, 1110, 6419, 7822, 1446, 1135, 7080, 22629, 121, 1410, 16695, 2491, 7558, 190, 12961, 1226, 488, 124, 125, 1498, 5862, 2491, 10553, 14654, 1163, 1135, 1776, 10536, 1419, 1161, 1110, 6419, 7822, 1446, 1135, 19718, 2238, 18835, 1161, 1135, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1239, 8452, 488, 130, 7275, 1806, 7859, 1446, 1135, 18835, 1161, 1135, 11023, 2294, 1366, 11662, 1388, 9748, 8150, 196, 3616, 1163, 1614, 3291, 1518, 194, 1569, 194, 1128, 1119, 2461, 20690, 21854, 194, 11662, 1463, 6755, 2928, 1238, 7262, 488, 129, 119, 488, 124, 132, 130, 131, 119, 1449, 1135, 5947, 12910, 8726, 8150, 196, 5204, 1388, 21320, 1959, 106, 11023, 2294, 1366, 11662, 106, 1306, 1506, 2443, 9560, 106, 1518, 192, 14183, 21983, 1124, 1301, 2461, 106, 2294, 1301, 184, 9143, 1531, 1670, 1194, 26722, 4672, 2523, 162, 2078, 3642, 1147, 6973, 14776, 120, 2834, 7607, 3050, 1506, 2443, 9560, 7684, 13034, 1926, 2935, 109, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 2029, 1166, 14249, 1125, 1158, 1918, 3603, 13348, 2072, 1166, 14249, 21266, 4880, 1298, 1440, 4755, 6706, 1299, 2072, 3977, 6111, 30239, 1541, 4059, 2312, 25393, 1186, 6676, 1125, 4592, 1856, 4428, 14249, 21266, 1125, 5763, 1784, 1496, 18001, 1186, 6556, 1189, 1166, 14249, 11894, 1357, 17904, 1188, 1158, 18102, 5277, 1167, 1357, 1299, 19126, 1188, 1540, 7170, 1207, 2406, 1140, 22865, 1207, 3726, 2007, 1125, 19021, 1167, 1408, 7492, 1207, 18536, 1167, 1207, 9814, 1234, 1125, 6545, 1388, 2439, 17742, 1166, 14249, 2093, 1306, 14249, 1125, 1158, 18102, 1125, 18281, 10914, 106, 1306, 14249, 1125, 1158, 18102, 1125, 17449, 5030, 106, 1306, 14249, 1125, 1158, 18102, 1125, 16888, 1265, 2408, 22501, 14842, 1188, 16888, 1265, 1164, 1657, 1548, 1859, 2908, 6388, 5617, 1188, 16553, 1304, 11617, 1112, 16832, 1536, 2388, 1125, 1158, 18102, 1188, 11805, 2114, 1188, 2176, 1125, 1939, 6053, 1313, 1158, 2257, 6055, 11363, 1227, 5421, 1165, 1955, 1130, 1309, 2985, 18400, 1170, 3151, 2424, 15046, 1188, 7877, 1125, 1158, 1918, 4994, 1768, 3031, 19126, 1571, 31864, 2915, 1197, 25630, 3202, 2137, 1167, 1197, 5773, 2217, 21163, 185, 7324, 2576, 10985, 22816, 1167, 8923, 4280, 9918, 2290, 1170, 1874, 1125, 1202, 5172, 244, 1125, 16888, 1265, 20575, 15974, 1317, 488, 1215, 19208, 1859, 23366, 1125, 8448, 4377, 2985, 7809, 2357, 3702, 1207, 11987, 1125, 2908, 6388, 119, 1256, 7722, 9814, 1234, 1167, 2680, 5493, 2081, 1425, 1193, 2636, 1188, 1964, 5464, 1125, 29882, 4654, 1768, 10243, 172, 14867, 1170, 1874, 1304, 11617, 14048, 1214, 6123, 1366, 1125, 22501, 1118, 5068, 2576, 9306, 1674, 1929, 244, 1299, 1177, 1141, 244, 1186, 488, 124, 131, 124, 131, 119, 1167, 1189, 10424, 1166, 14249, 30781, 5999, 16963, 1167, 1318, 26807, 1299, 13826, 1835, 488, 124, 131, 125, 128, 1167, 488, 124, 131, 125, 132, 1175, 1551, 6646, 16963, 15802, 21707, 1165, 1167, 1222, 1125, 20606, 176, 24079, 1576, 2576, 179, 14249, 1299, 2627, 2949, 1363, 244, 1186, 488, 124, 132, 126, 132, 119, 4428, 14249, 13894, 19932, 1245, 1125, 11805, 1105, 4716, 4766, 1170, 28291, 2750, 1318, 9625, 21790, 8539, 2202, 3041, 2814, 179, 14249, 7354, 5891, 10070, 1197, 1204, 1416, 1119, 24003, 1539, 12264, 6397, 1167, 2941, 1301, 8428, 1164, 2996, 1653, 488, 124, 132, 130, 124, 1299, 18504, 12228, 1313, 1909, 11349, 1170, 6508, 16185, 3467, 3202, 1366, 1125, 16888, 1265, 2408, 10177, 14249, 1186, 2424, 1424, 1306, 14249, 1125, 1158, 18102, 1125, 13033, 4542, 18183, 1166, 14249, 16185, 3467, 1197, 25630, 7933, 6953, 116, 6927, 3486, 1146, 1134, 2357, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 1260, 1306, 14249, 1125, 1158, 18102, 1125, 3261, 7965, 18183, 1306, 6953, 2324, 21528, 7224, 6820, 2944, 1188, 3261, 1182, 5587, 1109, 15451, 116, 2040, 1170, 3151, 1166, 14249, 1125, 1158, 19021, 2985, 13826, 1186, 1509, 184, 17984, 3033, 168, 1188, 16105, 8291, 4553, 3683, 22058, 5949, 18183, 2040, 1527, 2985, 12462, 30633, 1215, 1189, 3000, 23329, 1170, 1509, 184, 17984, 3033, 168, 2040, 1188, 3631, 12030, 30633, 1215, 1207, 13513, 6364, 1525, 9400, 1186, 488, 124, 132, 127, 127, 119, 1527, 1299, 1685, 8414, 1635, 1188, 3862, 1125, 488, 124, 132, 128, 125, 106, 1306, 14249, 1125, 1158, 18102, 1125, 12177, 9992, 18183, 1306, 6953, 1643, 1263, 1119, 1188, 15090, 5867, 1118, 2942, 14776, 31653, 1260, 1306, 14249, 1125, 1158, 18102, 1125, 11805, 2114, 18183, 1306, 6953, 13894, 19932, 6664, 1188, 11805, 1105, 9116, 1124, 116, 2040, 3902, 1186, 2424, 1186, 488, 124, 132, 124, 123, 119, 12749, 1186, 488, 124, 132, 129, 129, 1189, 1166, 14249, 11894, 11488, 1167, 5474, 32001, 1424, 32000, 20036, 1530, 27250, 8923, 119, 1959, 4494, 1110, 21266, 8923, 1175, 2783, 2582, 1135, 21265, 6326, 1239, 1959, 2629, 1226, 6805, 2323, 22355, 2314, 8452, 1449, 1135, 1281, 1810, 2536, 1296, 1135, 21266, 8923, 1147, 5763, 1784, 1496, 8678, 1147, 6556, 1110, 10215, 8923, 1302, 29866, 1163, 1135, 4966, 27250, 1171, 1239, 15940, 1163, 6031, 1114, 1478, 6442, 3202, 1132, 3726, 2563, 1171, 1792, 13241, 10215, 5097, 1171, 6928, 1144, 21977, 1388, 4499, 1107, 8923, 31358, 27250, 15729, 1147, 18281, 10914, 3723, 27250, 15729, 1147, 17449, 5030, 3723, 27250, 15729, 1147, 16888, 1265, 2408, 22501, 14842, 1147, 16888, 1265, 1164, 1657, 2502, 1859, 2908, 6388, 10919, 1163, 10438, 1304, 11617, 1112, 16832, 1536, 2388, 1161, 1135, 27250, 1147, 11805, 2114, 11947, 1939, 1410, 1940, 4985, 7564, 3953, 2424, 1161, 1135, 27250, 1463, 11219, 1147, 1135, 5421, 1165, 1955, 1130, 9955, 1554, 9178, 1226, 1135, 31864, 2252, 1161, 3202, 1132, 6133, 1429, 1171, 2217, 29498, 1626, 9778, 1457, 1410, 14511, 1171, 8923, 12735, 2121, 5388, 1296, 1135, 15767, 1696, 1161, 16888, 1265, 20575, 20883, 1147, 1135, 488, 124, 124, 1276, 14851, 1449, 19208, 1859, 21041, 1161, 8448, 4377, 1463, 14128, 119, 6612, 1163, 2908, 6388, 1361, 16020, 1285, 1163, 8299, 2081, 12324, 1193, 2662, 1144, 21977, 1171, 22515, 7412, 1789, 1559, 1446, 29882, 4654, 1988, 1463, 19089, 4494, 1135, 11801, 12646, 3465, 1626, 1161, 22501, 1118, 5068, 1410, 4006, 1674, 1696, 1463, 1501, 14793, 1147, 488, 124, 131, 124, 131, 119, 1171, 1110, 1624, 8923, 12157, 1161, 3663, 20646, 1171, 1110, 8371, 1140, 1463, 7406, 2910, 488, 124, 131, 125, 128, 1171, 488, 124, 131, 125, 132, 3471, 2436, 20646, 15802, 21707, 24477, 1171, 1222, 1161, 20606, 176, 24079, 1576, 1410, 8923, 1463, 1125, 3417, 2116, 1156, 1147, 488, 124, 132, 126, 132, 119, 1324, 1135, 13894, 19932, 1245, 8923, 1147, 11805, 1105, 7033, 2060, 2470, 1151, 19158, 8769, 121, 1410, 8923, 7905, 1135, 5761, 1161, 1204, 8716, 1926, 1222, 1164, 2094, 1171, 24070, 121, 1459, 488, 124, 132, 130, 124, 119, 1135, 1266, 10646, 4138, 3467, 7978, 1161, 16888, 1265, 2408, 1463, 18504, 1136, 1589, 1238, 2019, 2046, 2410, 1388, 16170, 22355, 2314, 31358, 27250, 15729, 1147, 13033, 4542, 2692, 1135, 6927, 3486, 1146, 4568, 7829, 20838, 4138, 3467, 15729, 7933, 6953, 116, 1147, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 11370, 27250, 15729, 1147, 3261, 7965, 2692, 1306, 6953, 2324, 21528, 7224, 1396, 4260, 1147, 3261, 1182, 5587, 1109, 15451, 3628, 1135, 1940, 3202, 196, 8923, 1463, 7406, 1147, 1509, 184, 17984, 3033, 168, 1147, 16105, 8291, 4553, 3683, 1135, 3224, 5589, 134, 1341, 1463, 10484, 30505, 1449, 1110, 7729, 1238, 1509, 184, 17984, 3033, 16673, 2903, 19890, 30505, 1449, 6938, 13513, 1972, 1147, 488, 124, 132, 127, 127, 119, 1341, 1463, 1169, 11922, 9328, 1147, 488, 124, 132, 128, 125, 3723, 27250, 15729, 1147, 12177, 9992, 2692, 1306, 6953, 1643, 1263, 1119, 1147, 15090, 5867, 1118, 2942, 14776, 31653, 11370, 27250, 15729, 1147, 11805, 2114, 2692, 1306, 6953, 13894, 19932, 1245, 1147, 11805, 1105, 9116, 1124, 3628, 3912, 2127, 2424, 1147, 488, 124, 132, 124, 123, 119, 1341, 7905, 1110, 10215, 8923, 1147, 488, 124, 132, 129, 129, 11488, 1171, 22874, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1530, 27250, 8923, 119, 1959, 4494, 1110, 21266, 8923, 1175, 2783, 2582, 1135, 21265, 6326, 1239, 1959, 2629, 1226, 6805, 2323, 22355, 2314, 8452, 1449, 1135, 1281, 1810, 2536, 1296, 1135, 21266, 8923, 1147, 5763, 1784, 1496, 8678, 1147, 6556, 1110, 10215, 8923, 1302, 29866, 1163, 1135, 4966, 27250, 1171, 1239, 15940, 1163, 6031, 1114, 1478, 6442, 3202, 1132, 3726, 2563, 1171, 1792, 13241, 10215, 5097, 1171, 6928, 1144, 21977, 1388, 4499, 1107, 8923, 31358, 27250, 15729, 1147, 18281, 10914, 3723, 27250, 15729, 1147, 17449, 5030, 3723, 27250, 15729, 1147, 16888, 1265, 2408, 22501, 14842, 1147, 16888, 1265, 1164, 1657, 2502, 1859, 2908, 6388, 10919, 1163, 10438, 1304, 11617, 1112, 16832, 1536, 2388, 1161, 1135, 27250, 1147, 11805, 2114, 11947, 1939, 1410, 1940, 4985, 7564, 3953, 2424, 1161, 1135, 27250, 1463, 11219, 1147, 1135, 5421, 1165, 1955, 1130, 9955, 1554, 9178, 1226, 1135, 31864, 2252, 1161, 3202, 1132, 6133, 1429, 1171, 2217, 29498, 1626, 9778, 1457, 1410, 14511, 1171, 8923, 12735, 2121, 5388, 1296, 1135, 15767, 1696, 1161, 16888, 1265, 20575, 20883, 1147, 1135, 488, 124, 124, 1276, 14851, 1449, 19208, 1859, 21041, 1161, 8448, 4377, 1463, 14128, 119, 6612, 1163, 2908, 6388, 1361, 16020, 1285, 1163, 8299, 2081, 12324, 1193, 2662, 1144, 21977, 1171, 22515, 7412, 1789, 1559, 1446, 29882, 4654, 1988, 1463, 19089, 4494, 1135, 11801, 12646, 3465, 1626, 1161, 22501, 1118, 5068, 1410, 4006, 1674, 1696, 1463, 1501, 14793, 1147, 488, 124, 131, 124, 131, 119, 1171, 1110, 1624, 8923, 12157, 1161, 3663, 20646, 1171, 1110, 8371, 1140, 1463, 7406, 2910, 488, 124, 131, 125, 128, 1171, 488, 124, 131, 125, 132, 3471, 2436, 20646, 15802, 21707, 24477, 1171, 1222, 1161, 20606, 176, 24079, 1576, 1410, 8923, 1463, 1125, 3417, 2116, 1156, 1147, 488, 124, 132, 126, 132, 119, 1324, 1135, 13894, 19932, 1245, 8923, 1147, 11805, 1105, 7033, 2060, 2470, 1151, 19158, 8769, 121, 1410, 8923, 7905, 1135, 5761, 1161, 1204, 8716, 1926, 1222, 1164, 2094, 1171, 24070, 121, 1459, 488, 124, 132, 130, 124, 119, 1135, 1266, 10646, 4138, 3467, 7978, 1161, 16888, 1265, 2408, 1463, 18504, 1136, 1589, 1238, 2019, 2046, 2410, 1388, 16170, 22355, 2314, 31358, 27250, 15729, 1147, 13033, 4542, 2692, 1135, 6927, 3486, 1146, 4568, 7829, 20838, 4138, 3467, 15729, 7933, 6953, 116, 1147, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 11370, 27250, 15729, 1147, 3261, 7965, 2692, 1306, 6953, 2324, 21528, 7224, 1396, 4260, 1147, 3261, 1182, 5587, 1109, 15451, 3628, 1135, 1940, 3202, 196, 8923, 1463, 7406, 1147, 1509, 184, 17984, 3033, 168, 1147, 16105, 8291, 4553, 3683, 1135, 3224, 5589, 134, 1341, 1463, 10484, 30505, 1449, 1110, 7729, 1238, 1509, 184, 17984, 3033, 16673, 2903, 19890, 30505, 1449, 6938, 13513, 1972, 1147, 488, 124, 132, 127, 127, 119, 1341, 1463, 1169, 11922, 9328, 1147, 488, 124, 132, 128, 125, 3723, 27250, 15729, 1147, 12177, 9992, 2692, 1306, 6953, 1643, 1263, 1119, 1147, 15090, 5867, 1118, 2942, 14776, 31653, 11370, 27250, 15729, 1147, 11805, 2114, 2692, 1306, 6953, 13894, 19932, 1245, 1147, 11805, 1105, 9116, 1124, 3628, 3912, 2127, 2424, 1147, 488, 124, 132, 124, 123, 119, 1341, 7905, 1110, 10215, 8923, 1147, 488, 124, 132, 129, 129, 11488, 1171, 22874, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 149, 2562, 1783, 119, 1557, 5257, 1125, 1202, 1390, 1342, 1146, 6526, 7194, 180, 1651, 30230, 1202, 1390, 1342, 1146, 6526, 1186, 17779, 2040, 1202, 1390, 1342, 1146, 6526, 1321, 13096, 1180, 488, 281, 189, 2318, 254, 177, 1186, 1166, 1510, 2607, 1496, 5252, 1170, 488, 126, 2829, 488, 124, 131, 127, 131, 1188, 28971, 15167, 1167, 4541, 1170, 488, 128, 2738, 488, 124, 132, 127, 124, 1317, 25986, 1202, 1390, 1342, 1146, 6526, 1125, 1202, 1153, 25558, 1124, 29336, 13096, 1762, 1299, 1189, 15067, 1230, 1110, 1502, 1150, 4408, 1510, 2607, 1357, 2985, 3747, 5890, 18642, 1136, 5693, 1125, 1158, 1173, 3491, 1587, 21583, 1125, 19277, 1109, 2193, 7542, 1158, 16880, 12507, 10999, 14231, 1424, 153, 244, 1313, 1318, 25208, 4446, 29462, 14994, 9320, 14662, 18651, 1783, 1299, 1170, 8658, 1227, 1557, 5257, 23302, 1202, 1390, 1342, 1146, 6526, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 125, 1496, 29369, 1125, 1166, 2331, 26376, 1167, 1125, 1158, 1218, 1883, 1206, 20703, 1104, 172, 18895, 3621, 2733, 3167, 3758, 1342, 1105, 1175, 124, 131, 123, 132, 120, 124, 132, 123, 125, 1576, 1768, 1835, 1317, 2424, 15067, 3125, 2750, 1197, 8787, 1188, 488, 230, 8221, 12579, 1167, 1352, 28355, 20546, 488, 124, 131, 130, 124, 119, 1527, 1299, 15367, 1186, 4083, 1980, 12340, 244, 1188, 5763, 23986, 1186, 488, 124, 131, 130, 131, 1188, 2801, 1167, 1186, 488, 124, 131, 131, 123, 1188, 5896, 14279, 20546, 488, 124, 131, 131, 130, 119, 1527, 1299, 14698, 1304, 2724, 18642, 1188, 5371, 11698, 1167, 1186, 488, 124, 131, 132, 127, 11538, 1188, 20598, 1507, 2567, 9033, 15367, 1158, 2076, 5910, 1188, 30707, 1630, 1201, 11270, 3296, 1768, 1299, 12688, 5328, 1188, 1233, 1308, 1124, 1182, 1186, 488, 124, 131, 132, 132, 8155, 1859, 1170, 1557, 5257, 1125, 1202, 1390, 1342, 1146, 6526, 1299, 12688, 5890, 18642, 1136, 1188, 19277, 1109, 2193, 1215, 27302, 24993, 9228, 10935, 16723, 1768, 1170, 30305, 7328, 1158, 19403, 1125, 27302, 1229, 1186, 488, 124, 132, 124, 131, 8370, 488, 124, 132, 123, 131, 119, 1527, 2368, 2256, 1679, 1188, 13834, 3907, 1231, 1125, 1158, 16947, 185, 2620, 1723, 7080, 1343, 1170, 29828, 1160, 1469, 1158, 28237, 8370, 488, 124, 132, 124, 124, 119, 1527, 18001, 21567, 2121, 5328, 1197, 25274, 21647, 1188, 1158, 3011, 1125, 1158, 9774, 1227, 23366, 27168, 172, 9905, 1192, 176, 179, 2089, 179, 3850, 1548, 1557, 5257, 1125, 1202, 1390, 1342, 1146, 6526, 1299, 15112, 1188, 21396, 1856, 6113, 1197, 15067, 2026, 1207, 1408, 4435, 1234, 1125, 1158, 4415, 2010, 1105, 2528, 4654, 30738, 2388, 1158, 16880, 12507, 27213, 1527, 9900, 1469, 9672, 1256, 1675, 1944, 5613, 26875, 1143, 1824, 3841, 1313, 1158, 6545, 1188, 5719, 1125, 1282, 4303, 19005, 7002, 1510, 2348, 121, 1653, 3012, 488, 124, 132, 124, 130, 119, 1527, 16893, 24298, 1125, 27302, 24993, 8179, 1209, 1125, 8753, 5328, 1197, 25274, 21647, 121, 1768, 21180, 1909, 8700, 1188, 19277, 1109, 2193, 1186, 2578, 488, 124, 132, 124, 131, 12258, 1299, 2969, 192, 5623, 3926, 1150, 1757, 1125, 29204, 13976, 1125, 3281, 2605, 11150, 1186, 488, 124, 132, 124, 130, 1167, 2985, 6711, 1125, 1158, 15890, 8547, 1186, 488, 124, 132, 125, 130, 7885, 3400, 1186, 2829, 488, 124, 131, 127, 131, 9317, 1186, 2738, 488, 124, 132, 127, 124, 29605, 1291, 1137, 1230, 1166, 1510, 2607, 1227, 26851, 6298, 29605, 1291, 1137, 1230, 1166, 1510, 2607, 1227, 23841, 6298, 26626, 3657, 1574, 7478, 3556, 26626, 3657, 1166, 1510, 1150, 1439, 29605, 1291, 1137, 1230, 1574, 7478, 1354, 1227, 26851, 6298, 29605, 1291, 1137, 1230, 1574, 7478, 1354, 1227, 23841, 6298, 9317, 1188, 488, 132, 126, 2165, 2105, 22137, 1202, 1390, 1342, 1146, 4384, 29605, 1291, 1137, 1230, 1110, 1502, 1150, 4408, 1510, 2607, 32001, 1424, 32000, 20036, 2278, 2562, 1783, 119, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 7194, 180, 1651, 30230, 1202, 1390, 1342, 1146, 6526, 1147, 18143, 134, 1202, 1390, 1342, 1146, 6526, 1321, 13096, 1180, 488, 281, 189, 2318, 254, 177, 1147, 29081, 11519, 1496, 9204, 1238, 5696, 488, 126, 119, 488, 124, 131, 127, 131, 1147, 28971, 8582, 1171, 12743, 1238, 4151, 488, 128, 119, 488, 124, 132, 127, 124, 1355, 1135, 1202, 1390, 1342, 1146, 6526, 5796, 1431, 1147, 1202, 1153, 25558, 1124, 29336, 13096, 1762, 1463, 1151, 1192, 1502, 1150, 7002, 3513, 11519, 15067, 1128, 2000, 11462, 1296, 5890, 1322, 11480, 1163, 1135, 1173, 3491, 1587, 21583, 1161, 19277, 1109, 2193, 3545, 1135, 8042, 5055, 6832, 9663, 180, 11114, 2056, 2589, 2127, 1151, 4006, 29462, 4772, 1161, 18143, 12238, 2982, 18651, 1783, 1463, 1135, 1594, 1161, 1918, 5257, 23302, 1202, 1390, 1342, 1146, 6526, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 125, 1496, 1110, 1166, 2331, 1124, 4021, 1659, 1171, 21041, 1224, 20703, 1104, 172, 18895, 3621, 2733, 3167, 3758, 1342, 1105, 1175, 124, 131, 123, 132, 120, 124, 132, 123, 125, 1576, 2133, 17032, 1135, 15067, 2376, 2424, 2470, 26372, 1147, 488, 230, 8221, 12579, 1171, 1352, 5580, 172, 6649, 488, 124, 131, 130, 124, 119, 1386, 1463, 5253, 1296, 1151, 10499, 244, 1163, 5763, 23986, 1147, 488, 124, 131, 130, 131, 1163, 6721, 1171, 1147, 488, 124, 131, 131, 123, 1163, 9485, 6649, 488, 124, 131, 131, 130, 119, 1386, 11462, 1296, 1110, 7685, 1626, 1161, 1135, 4468, 1322, 196, 1147, 5371, 1800, 10645, 1171, 1147, 488, 124, 131, 132, 127, 1296, 1110, 23439, 1121, 1147, 20598, 1507, 2979, 3026, 5253, 1302, 2994, 1976, 1163, 10315, 27898, 8519, 3296, 2133, 1463, 22951, 21670, 1163, 1233, 2547, 1124, 1182, 1147, 488, 124, 131, 132, 132, 1388, 3466, 1859, 1135, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 1463, 22951, 5890, 1322, 11480, 1163, 19277, 1109, 2193, 1449, 4633, 1403, 1121, 1772, 11769, 10935, 16723, 2133, 20642, 1147, 1302, 2936, 4945, 1135, 4679, 18160, 1161, 1135, 4254, 1229, 1147, 488, 124, 132, 124, 131, 6649, 488, 124, 132, 123, 131, 119, 1386, 26469, 1135, 24514, 1162, 1161, 16947, 185, 4741, 1663, 10242, 19618, 1111, 1429, 1324, 28243, 6649, 488, 124, 132, 124, 124, 119, 1386, 8369, 12679, 11462, 1296, 12984, 1161, 23443, 29376, 3602, 1135, 28557, 1161, 21041, 27168, 172, 9905, 1192, 176, 179, 2089, 179, 3850, 1410, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 1463, 8261, 1704, 1161, 1135, 2481, 1432, 4245, 15067, 1889, 1161, 1135, 26674, 1691, 27205, 1355, 1135, 1907, 8509, 6129, 1135, 8042, 5055, 1325, 5567, 1386, 15943, 8627, 1163, 6435, 1135, 20312, 3841, 26344, 2127, 1135, 6928, 21857, 30908, 5086, 147, 3513, 1626, 121, 1459, 6674, 488, 124, 132, 124, 130, 119, 1386, 7620, 4454, 4633, 1403, 1121, 8179, 1209, 1361, 4343, 1163, 5180, 12984, 1161, 23443, 7990, 1491, 1297, 2133, 3936, 1765, 2936, 1147, 19277, 1109, 2193, 1147, 7286, 488, 124, 132, 124, 131, 1388, 3780, 1463, 10901, 1427, 1163, 5623, 16073, 1161, 1135, 14545, 1161, 3281, 20586, 1147, 488, 124, 132, 124, 130, 1171, 7905, 1110, 6644, 1161, 1135, 1405, 4599, 6842, 1147, 488, 124, 132, 125, 130, 9663, 2589, 1147, 5696, 488, 124, 131, 127, 131, 1763, 2295, 1147, 4151, 488, 124, 132, 127, 124, 106, 124, 132, 1276, 25128, 4532, 29081, 11519, 15067, 1128, 106, 125, 123, 1276, 25128, 4532, 29081, 11519, 15067, 1128, 1530, 4734, 1119, 7468, 8017, 3050, 3513, 11519, 7468, 8017, 106, 124, 132, 1276, 25128, 4532, 30908, 1119, 15067, 1128, 106, 125, 123, 1276, 25128, 4532, 30908, 1119, 15067, 1128, 1763, 2295, 1355, 7227, 488, 132, 126, 1566, 1390, 1342, 1146, 4384, 4772, 1530, 1502, 1150, 7002, 3513, 11519, 15067, 1128, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2278, 2562, 1783, 119, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 7194, 180, 1651, 30230, 1202, 1390, 1342, 1146, 6526, 1147, 18143, 134, 1202, 1390, 1342, 1146, 6526, 1321, 13096, 1180, 488, 281, 189, 2318, 254, 177, 1147, 29081, 11519, 1496, 9204, 1238, 5696, 488, 126, 119, 488, 124, 131, 127, 131, 1147, 28971, 8582, 1171, 12743, 1238, 4151, 488, 128, 119, 488, 124, 132, 127, 124, 1355, 1135, 1202, 1390, 1342, 1146, 6526, 5796, 1431, 1147, 1202, 1153, 25558, 1124, 29336, 13096, 1762, 1463, 1151, 1192, 1502, 1150, 7002, 3513, 11519, 15067, 1128, 2000, 11462, 1296, 5890, 1322, 11480, 1163, 1135, 1173, 3491, 1587, 21583, 1161, 19277, 1109, 2193, 3545, 1135, 8042, 5055, 6832, 9663, 180, 11114, 2056, 2589, 2127, 1151, 4006, 29462, 4772, 1161, 18143, 12238, 2982, 18651, 1783, 1463, 1135, 1594, 1161, 1918, 5257, 23302, 1202, 1390, 1342, 1146, 6526, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 125, 1496, 1110, 1166, 2331, 1124, 4021, 1659, 1171, 21041, 1224, 20703, 1104, 172, 18895, 3621, 2733, 3167, 3758, 1342, 1105, 1175, 124, 131, 123, 132, 120, 124, 132, 123, 125, 1576, 2133, 17032, 1135, 15067, 2376, 2424, 2470, 26372, 1147, 488, 230, 8221, 12579, 1171, 1352, 5580, 172, 6649, 488, 124, 131, 130, 124, 119, 1386, 1463, 5253, 1296, 1151, 10499, 244, 1163, 5763, 23986, 1147, 488, 124, 131, 130, 131, 1163, 6721, 1171, 1147, 488, 124, 131, 131, 123, 1163, 9485, 6649, 488, 124, 131, 131, 130, 119, 1386, 11462, 1296, 1110, 7685, 1626, 1161, 1135, 4468, 1322, 196, 1147, 5371, 1800, 10645, 1171, 1147, 488, 124, 131, 132, 127, 1296, 1110, 23439, 1121, 1147, 20598, 1507, 2979, 3026, 5253, 1302, 2994, 1976, 1163, 10315, 27898, 8519, 3296, 2133, 1463, 22951, 21670, 1163, 1233, 2547, 1124, 1182, 1147, 488, 124, 131, 132, 132, 1388, 3466, 1859, 1135, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 1463, 22951, 5890, 1322, 11480, 1163, 19277, 1109, 2193, 1449, 4633, 1403, 1121, 1772, 11769, 10935, 16723, 2133, 20642, 1147, 1302, 2936, 4945, 1135, 4679, 18160, 1161, 1135, 4254, 1229, 1147, 488, 124, 132, 124, 131, 6649, 488, 124, 132, 123, 131, 119, 1386, 26469, 1135, 24514, 1162, 1161, 16947, 185, 4741, 1663, 10242, 19618, 1111, 1429, 1324, 28243, 6649, 488, 124, 132, 124, 124, 119, 1386, 8369, 12679, 11462, 1296, 12984, 1161, 23443, 29376, 3602, 1135, 28557, 1161, 21041, 27168, 172, 9905, 1192, 176, 179, 2089, 179, 3850, 1410, 1918, 5257, 1161, 1202, 1390, 1342, 1146, 6526, 1463, 8261, 1704, 1161, 1135, 2481, 1432, 4245, 15067, 1889, 1161, 1135, 26674, 1691, 27205, 1355, 1135, 1907, 8509, 6129, 1135, 8042, 5055, 1325, 5567, 1386, 15943, 8627, 1163, 6435, 1135, 20312, 3841, 26344, 2127, 1135, 6928, 21857, 30908, 5086, 147, 3513, 1626, 121, 1459, 6674, 488, 124, 132, 124, 130, 119, 1386, 7620, 4454, 4633, 1403, 1121, 8179, 1209, 1361, 4343, 1163, 5180, 12984, 1161, 23443, 7990, 1491, 1297, 2133, 3936, 1765, 2936, 1147, 19277, 1109, 2193, 1147, 7286, 488, 124, 132, 124, 131, 1388, 3780, 1463, 10901, 1427, 1163, 5623, 16073, 1161, 1135, 14545, 1161, 3281, 20586, 1147, 488, 124, 132, 124, 130, 1171, 7905, 1110, 6644, 1161, 1135, 1405, 4599, 6842, 1147, 488, 124, 132, 125, 130, 9663, 2589, 1147, 5696, 488, 124, 131, 127, 131, 1763, 2295, 1147, 4151, 488, 124, 132, 127, 124, 106, 124, 132, 1276, 25128, 4532, 29081, 11519, 15067, 1128, 106, 125, 123, 1276, 25128, 4532, 29081, 11519, 15067, 1128, 1530, 4734, 1119, 7468, 8017, 3050, 3513, 11519, 7468, 8017, 106, 124, 132, 1276, 25128, 4532, 30908, 1119, 15067, 1128, 106, 125, 123, 1276, 25128, 4532, 30908, 1119, 15067, 1128, 1763, 2295, 1355, 7227, 488, 132, 126, 1566, 1390, 1342, 1146, 4384, 4772, 1530, 1502, 1150, 7002, 3513, 11519, 15067, 1128, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18805, 13118, 1317, 12229, 1125, 13363, 16652, 1125, 488, 125, 123, 125, 126, 7216, 24587, 1257, 1184, 1927, 174, 25285, 1294, 1778, 183, 4080, 186, 1125, 13363, 10459, 1125, 488, 125, 123, 125, 126, 116, 1281, 1111, 7059, 1170, 10092, 1859, 3143, 26438, 1229, 1207, 488, 128, 123, 21353, 1125, 1158, 488, 1227, 12229, 1125, 13363, 16652, 1256, 1189, 13838, 1125, 5999, 2165, 1388, 2272, 8934, 1194, 8134, 1125, 25840, 10791, 12229, 1125, 13363, 16652, 7216, 24587, 1257, 1778, 183, 4080, 186, 1125, 13363, 10459, 116, 1299, 1318, 4489, 7052, 30598, 1691, 1237, 1174, 11038, 30647, 1125, 488, 128, 123, 10961, 3392, 17634, 1256, 1318, 8447, 1861, 1125, 5999, 2165, 1317, 4001, 3277, 5116, 1140, 3152, 3702, 1207, 7548, 1227, 25840, 11258, 14905, 13076, 1414, 191, 1215, 9933, 1197, 3403, 17355, 1199, 1313, 1158, 9287, 23169, 2585, 17355, 1199, 3013, 24908, 1188, 28347, 1125, 11638, 119, 1995, 5138, 1186, 4256, 1158, 3221, 1388, 2272, 193, 4514, 1227, 25840, 1424, 2272, 17549, 1188, 3265, 488, 124, 128, 1227, 8774, 21232, 6668, 1125, 1158, 13363, 1124, 2944, 1170, 12229, 1299, 18640, 1256, 1189, 13838, 1125, 5999, 8793, 29316, 488, 124, 131, 1125, 1158, 3650, 20237, 1366, 3202, 10459, 1439, 1227, 488, 130, 3012, 488, 125, 123, 123, 126, 14061, 1309, 1207, 13118, 1508, 25785, 14627, 1215, 1170, 4637, 1125, 1158, 9287, 1226, 1366, 1125, 13363, 16652, 1317, 5372, 2335, 7918, 9053, 1170, 11400, 14339, 15016, 2574, 6175, 1199, 1158, 1622, 1125, 1158, 8447, 1861, 7885, 11483, 1125, 21353, 1424, 155, 1660, 1244, 3265, 488, 124, 128, 1227, 8774, 21232, 6668, 16399, 1309, 1170, 2510, 1125, 21353, 1299, 1125, 488, 128, 123, 119, 3265, 488, 129, 1125, 1158, 3650, 20237, 1366, 9924, 1309, 1170, 2510, 1125, 14701, 1690, 1299, 17093, 1188, 488, 128, 123, 119, 3265, 488, 132, 2671, 8985, 1309, 1170, 7019, 1125, 1158, 9287, 23169, 4438, 1318, 25898, 3430, 1388, 4929, 13700, 1197, 4825, 3972, 1424, 155, 14387, 1672, 11055, 1197, 4825, 3972, 1257, 1424, 1207, 15430, 1362, 10328, 6361, 8443, 27916, 5693, 1227, 24448, 1197, 12555, 8443, 1227, 10610, 1125, 17289, 6821, 2356, 1207, 17511, 2984, 20237, 2137, 1125, 2008, 9359, 15430, 1362, 10328, 6361, 10374, 1160, 4407, 1473, 1167, 8827, 1104, 5693, 1125, 1158, 6086, 20237, 1366, 1317, 1408, 7959, 488, 125, 128, 3617, 2750, 1158, 4062, 4514, 1227, 25840, 2356, 1167, 1207, 29518, 3051, 1125, 1158, 25898, 119, 2368, 2312, 21897, 1317, 2864, 488, 124, 2199, 1197, 22822, 1388, 8044, 26540, 1197, 27022, 1424, 3732, 3093, 1207, 19607, 4716, 13056, 180, 1317, 2864, 488, 126, 2199, 1197, 4001, 9172, 1713, 3016, 21021, 1234, 1313, 1158, 25898, 2830, 10848, 1188, 1158, 17817, 1197, 27022, 1188, 1256, 4664, 1313, 1816, 2076, 25898, 119, 1357, 2368, 4299, 1439, 1186, 6441, 6040, 13895, 1257, 1424, 1207, 19607, 1508, 1936, 1473, 1186, 1318, 26974, 1215, 16467, 18978, 4658, 1227, 2510, 1125, 4001, 9172, 8776, 1153, 2040, 1424, 1207, 4001, 9172, 1125, 3219, 4575, 1508, 3754, 7928, 1215, 488, 124, 119, 488, 125, 119, 488, 126, 1553, 15545, 2510, 1125, 21353, 1188, 2873, 1229, 3143, 1125, 6459, 1189, 11426, 2356, 1207, 6912, 1889, 1508, 9730, 1234, 3702, 14439, 18978, 4658, 1197, 1179, 5283, 1610, 2442, 8776, 1153, 9994, 13293, 2069, 19607, 1666, 11646, 1189, 2076, 1179, 5283, 3310, 1170, 9209, 1299, 31716, 1188, 4421, 1357, 1110, 1170, 1408, 2511, 2510, 3983, 1125, 8945, 2040, 4885, 2069, 4825, 3972, 2004, 17841, 1170, 2076, 2510, 3983, 1125, 8945, 119, 12799, 1902, 1299, 2022, 23665, 1215, 13630, 3277, 1317, 5016, 1167, 1207, 9643, 1125, 4418, 10894, 8273, 1916, 2818, 1194, 4929, 3006, 2137, 8574, 8443, 11934, 1414, 1741, 24281, 1234, 30265, 1194, 2951, 8100, 1162, 1194, 161, 3420, 1167, 27022, 1194, 22460, 1206, 11934, 21501, 9323, 1167, 5474, 9323, 15948, 13459, 20544, 11052, 1424, 12956, 1125, 13363, 16652, 106, 12229, 1125, 13363, 16652, 1194, 125, 123, 125, 126, 1875, 1342, 16652, 32001, 1424, 32000, 20036, 3616, 28898, 1163, 1135, 19289, 1161, 13363, 16652, 1161, 488, 125, 123, 125, 126, 1393, 7368, 1238, 30900, 1147, 3264, 1163, 14202, 1135, 488, 128, 123, 2302, 192, 3088, 1161, 1135, 19289, 1161, 13363, 16652, 1226, 1110, 3663, 7557, 6326, 1388, 4982, 1194, 144, 2225, 11185, 2935, 3616, 19289, 1161, 13363, 16652, 1239, 1110, 3935, 9037, 1174, 1620, 1215, 14456, 1626, 30327, 12157, 1161, 488, 128, 123, 2302, 15252, 1346, 21247, 1226, 1110, 3663, 7557, 6326, 2488, 3152, 29157, 4001, 3277, 6612, 1163, 1135, 9913, 1161, 1135, 4787, 147, 1414, 191, 16734, 1132, 16632, 2935, 1449, 1543, 12315, 1432, 6561, 1147, 1135, 20032, 1212, 4991, 1329, 8369, 12679, 1432, 6561, 7742, 1161, 6409, 1411, 1799, 3349, 1163, 1560, 1540, 8273, 1390, 1149, 1161, 1135, 11827, 7012, 8756, 1163, 11130, 488, 124, 128, 1161, 1135, 24793, 2732, 1161, 3698, 3007, 196, 1161, 13363, 1124, 2944, 1135, 19289, 1239, 21247, 1226, 1110, 3663, 7557, 1794, 5784, 11130, 488, 124, 131, 1161, 1135, 14202, 11185, 3876, 1161, 13363, 16652, 1161, 6674, 488, 130, 119, 488, 125, 123, 123, 126, 2373, 17982, 1302, 28898, 1393, 4494, 1449, 1135, 10283, 1161, 1135, 1226, 1132, 4991, 1161, 13363, 16652, 2488, 1110, 2712, 1807, 8226, 1238, 1135, 20809, 2874, 1157, 1276, 2954, 2979, 1135, 2283, 1161, 1135, 6326, 1388, 7125, 1161, 2302, 192, 3088, 1628, 2588, 11130, 488, 124, 128, 1161, 1135, 24793, 2732, 1161, 3698, 3007, 196, 7134, 1226, 488, 128, 123, 2302, 15252, 1346, 11130, 488, 129, 1161, 1135, 14202, 11185, 3876, 9532, 1302, 1135, 2149, 1161, 5641, 1161, 1215, 14456, 1239, 2142, 1355, 488, 128, 123, 119, 1324, 11130, 488, 132, 15480, 1149, 1302, 1135, 29837, 1161, 1135, 20032, 1212, 4991, 10014, 4038, 1110, 3935, 4407, 3582, 7745, 1287, 4696, 1161, 4825, 1183, 1429, 1505, 17389, 1183, 1429, 1526, 1280, 12031, 1449, 26992, 17200, 3043, 5737, 1329, 1131, 10236, 1430, 15017, 1324, 1135, 8159, 1161, 7468, 12555, 1161, 1135, 22989, 1161, 1135, 5806, 3553, 1236, 120, 27384, 11185, 17511, 2984, 1161, 2484, 2994, 5737, 1329, 1131, 10236, 1430, 1106, 10042, 4407, 1427, 1171, 15017, 1324, 1135, 14202, 11185, 6086, 1579, 6470, 2095, 488, 125, 128, 5150, 2470, 1135, 13814, 1161, 1135, 11827, 1236, 120, 2602, 28472, 1161, 1135, 4407, 19821, 1411, 1799, 4765, 1355, 4674, 488, 124, 112, 1161, 15017, 28472, 8509, 10995, 1161, 26763, 10376, 1269, 23027, 1302, 1537, 6971, 1355, 4674, 488, 126, 112, 1161, 1135, 4198, 18110, 8836, 1147, 1135, 4407, 3582, 1526, 19646, 1147, 1135, 6847, 1161, 26763, 1147, 1302, 2994, 4407, 19821, 1758, 1239, 22255, 1147, 3259, 10650, 26992, 1200, 4045, 1393, 31083, 1147, 8466, 4258, 3264, 1161, 1135, 2149, 1161, 18110, 13196, 1236, 120, 1410, 18110, 1161, 2483, 2396, 1393, 21867, 1449, 488, 124, 119, 488, 125, 119, 488, 126, 1553, 1806, 1163, 1135, 2149, 1161, 2302, 192, 3088, 1163, 1280, 21247, 1163, 1830, 1110, 3267, 1236, 120, 2499, 1889, 1393, 16046, 1589, 6612, 1163, 1135, 8466, 4258, 3264, 1161, 1135, 1179, 5283, 1610, 13196, 22836, 2197, 23027, 5994, 1135, 2994, 1179, 5283, 3310, 1135, 17556, 1239, 21302, 1163, 1135, 1704, 1324, 1135, 11851, 3983, 2149, 1161, 18110, 134, 1411, 2197, 4825, 1183, 1429, 1537, 7209, 1135, 2994, 3983, 2149, 1161, 7086, 1346, 1135, 26259, 1239, 1432, 13972, 1449, 22214, 13203, 1171, 1135, 3602, 1111, 1429, 1393, 1432, 13972, 1147, 1151, 10894, 2659, 8273, 1916, 6124, 19155, 1262, 7468, 8574, 12662, 1815, 20230, 5470, 1194, 2951, 8100, 1162, 1194, 161, 3330, 1171, 26763, 25194, 12575, 23159, 2414, 7710, 9323, 1171, 22874, 1194, 21320, 1959, 3723, 12016, 1161, 13363, 16652, 3723, 19289, 1161, 13363, 16652, 1194, 125, 123, 125, 126, 13363, 16652, 11827, 1297, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 28898, 1163, 1135, 19289, 1161, 13363, 16652, 1161, 488, 125, 123, 125, 126, 1393, 7368, 1238, 30900, 1147, 3264, 1163, 14202, 1135, 488, 128, 123, 2302, 192, 3088, 1161, 1135, 19289, 1161, 13363, 16652, 1226, 1110, 3663, 7557, 6326, 1388, 4982, 1194, 144, 2225, 11185, 2935, 3616, 19289, 1161, 13363, 16652, 1239, 1110, 3935, 9037, 1174, 1620, 1215, 14456, 1626, 30327, 12157, 1161, 488, 128, 123, 2302, 15252, 1346, 21247, 1226, 1110, 3663, 7557, 6326, 2488, 3152, 29157, 4001, 3277, 6612, 1163, 1135, 9913, 1161, 1135, 4787, 147, 1414, 191, 16734, 1132, 16632, 2935, 1449, 1543, 12315, 1432, 6561, 1147, 1135, 20032, 1212, 4991, 1329, 8369, 12679, 1432, 6561, 7742, 1161, 6409, 1411, 1799, 3349, 1163, 1560, 1540, 8273, 1390, 1149, 1161, 1135, 11827, 7012, 8756, 1163, 11130, 488, 124, 128, 1161, 1135, 24793, 2732, 1161, 3698, 3007, 196, 1161, 13363, 1124, 2944, 1135, 19289, 1239, 21247, 1226, 1110, 3663, 7557, 1794, 5784, 11130, 488, 124, 131, 1161, 1135, 14202, 11185, 3876, 1161, 13363, 16652, 1161, 6674, 488, 130, 119, 488, 125, 123, 123, 126, 2373, 17982, 1302, 28898, 1393, 4494, 1449, 1135, 10283, 1161, 1135, 1226, 1132, 4991, 1161, 13363, 16652, 2488, 1110, 2712, 1807, 8226, 1238, 1135, 20809, 2874, 1157, 1276, 2954, 2979, 1135, 2283, 1161, 1135, 6326, 1388, 7125, 1161, 2302, 192, 3088, 1628, 2588, 11130, 488, 124, 128, 1161, 1135, 24793, 2732, 1161, 3698, 3007, 196, 7134, 1226, 488, 128, 123, 2302, 15252, 1346, 11130, 488, 129, 1161, 1135, 14202, 11185, 3876, 9532, 1302, 1135, 2149, 1161, 5641, 1161, 1215, 14456, 1239, 2142, 1355, 488, 128, 123, 119, 1324, 11130, 488, 132, 15480, 1149, 1302, 1135, 29837, 1161, 1135, 20032, 1212, 4991, 10014, 4038, 1110, 3935, 4407, 3582, 7745, 1287, 4696, 1161, 4825, 1183, 1429, 1505, 17389, 1183, 1429, 1526, 1280, 12031, 1449, 26992, 17200, 3043, 5737, 1329, 1131, 10236, 1430, 15017, 1324, 1135, 8159, 1161, 7468, 12555, 1161, 1135, 22989, 1161, 1135, 5806, 3553, 1236, 120, 27384, 11185, 17511, 2984, 1161, 2484, 2994, 5737, 1329, 1131, 10236, 1430, 1106, 10042, 4407, 1427, 1171, 15017, 1324, 1135, 14202, 11185, 6086, 1579, 6470, 2095, 488, 125, 128, 5150, 2470, 1135, 13814, 1161, 1135, 11827, 1236, 120, 2602, 28472, 1161, 1135, 4407, 19821, 1411, 1799, 4765, 1355, 4674, 488, 124, 112, 1161, 15017, 28472, 8509, 10995, 1161, 26763, 10376, 1269, 23027, 1302, 1537, 6971, 1355, 4674, 488, 126, 112, 1161, 1135, 4198, 18110, 8836, 1147, 1135, 4407, 3582, 1526, 19646, 1147, 1135, 6847, 1161, 26763, 1147, 1302, 2994, 4407, 19821, 1758, 1239, 22255, 1147, 3259, 10650, 26992, 1200, 4045, 1393, 31083, 1147, 8466, 4258, 3264, 1161, 1135, 2149, 1161, 18110, 13196, 1236, 120, 1410, 18110, 1161, 2483, 2396, 1393, 21867, 1449, 488, 124, 119, 488, 125, 119, 488, 126, 1553, 1806, 1163, 1135, 2149, 1161, 2302, 192, 3088, 1163, 1280, 21247, 1163, 1830, 1110, 3267, 1236, 120, 2499, 1889, 1393, 16046, 1589, 6612, 1163, 1135, 8466, 4258, 3264, 1161, 1135, 1179, 5283, 1610, 13196, 22836, 2197, 23027, 5994, 1135, 2994, 1179, 5283, 3310, 1135, 17556, 1239, 21302, 1163, 1135, 1704, 1324, 1135, 11851, 3983, 2149, 1161, 18110, 134, 1411, 2197, 4825, 1183, 1429, 1537, 7209, 1135, 2994, 3983, 2149, 1161, 7086, 1346, 1135, 26259, 1239, 1432, 13972, 1449, 22214, 13203, 1171, 1135, 3602, 1111, 1429, 1393, 1432, 13972, 1147, 1151, 10894, 2659, 8273, 1916, 6124, 19155, 1262, 7468, 8574, 12662, 1815, 20230, 5470, 1194, 2951, 8100, 1162, 1194, 161, 3330, 1171, 26763, 25194, 12575, 23159, 2414, 7710, 9323, 1171, 22874, 1194, 21320, 1959, 3723, 12016, 1161, 13363, 16652, 3723, 19289, 1161, 13363, 16652, 1194, 125, 123, 125, 126, 13363, 16652, 11827, 1297, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 2119, 1189, 1492, 280, 185, 1108, 13010, 172, 12354, 1124, 4160, 1215, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1167, 4615, 3356, 1215, 1293, 28389, 4148, 23621, 2433, 17656, 7146, 1313, 1170, 12574, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1125, 1282, 21927, 1518, 280, 175, 1220, 3004, 1835, 488, 125, 123, 124, 126, 1167, 488, 125, 123, 124, 128, 119, 3110, 1188, 5685, 1170, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 19248, 1125, 1215, 4545, 121, 1643, 4726, 1299, 1186, 19589, 2750, 2782, 1913, 19830, 1303, 1313, 1189, 3631, 12574, 1186, 488, 125, 123, 124, 128, 121, 3450, 1299, 18078, 1186, 1189, 3983, 1125, 488, 124, 126, 20857, 8691, 1234, 3594, 2011, 1835, 488, 125, 123, 124, 127, 1167, 488, 125, 123, 124, 130, 121, 1643, 3451, 5964, 1299, 20896, 1303, 1215, 1518, 4436, 1186, 8398, 1125, 20857, 3594, 2011, 1835, 488, 125, 123, 124, 128, 1167, 488, 125, 123, 124, 131, 7745, 31751, 12928, 2111, 192, 1299, 1189, 6018, 5598, 7148, 1357, 5562, 1469, 1561, 25605, 1313, 1189, 15469, 1644, 7165, 11151, 3365, 11102, 189, 2657, 1370, 1188, 13010, 1659, 19416, 16018, 4534, 9918, 2290, 1170, 1874, 1125, 23366, 1645, 4270, 11204, 2433, 3851, 1370, 5551, 26467, 19416, 1724, 1299, 1189, 3175, 1105, 1197, 3165, 1201, 1357, 1281, 10022, 1687, 11129, 1304, 237, 1623, 1125, 17541, 6562, 1109, 25941, 4732, 6191, 18925, 2962, 1207, 6245, 1623, 3365, 26101, 1508, 1131, 5493, 1167, 2130, 13462, 12953, 121, 1768, 12459, 3042, 1125, 4110, 1173, 2111, 192, 1357, 1288, 9811, 2076, 1382, 5944, 1229, 1189, 17510, 3299, 1167, 1125, 2435, 13868, 1158, 9189, 3143, 11697, 1982, 1170, 6005, 6562, 1109, 1374, 1256, 3937, 1215, 1158, 3011, 15593, 1594, 6245, 1232, 8732, 7849, 1741, 1424, 2700, 1148, 19416, 1724, 1645, 4270, 1141, 2990, 1628, 2111, 192, 1204, 6533, 6220, 1424, 164, 9212, 16133, 1145, 1651, 21311, 1953, 1136, 255, 1518, 1255, 17345, 6975, 176, 180, 1198, 1519, 1456, 4436, 1628, 1193, 2988, 3870, 14989, 2586, 1112, 1192, 7901, 196, 5224, 13519, 255, 7219, 1120, 17174, 2911, 1354, 1266, 1569, 1124, 1558, 1853, 255, 5778, 1173, 8270, 21311, 5363, 6280, 1231, 9827, 3050, 1176, 2298, 22690, 20420, 1569, 1514, 14731, 1154, 9827, 1198, 255, 5811, 19155, 25465, 1424, 1299, 12354, 1124, 4160, 1215, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1167, 4615, 3356, 1215, 1293, 28389, 4148, 23621, 3266, 1643, 4726, 8718, 1561, 17656, 1565, 1162, 1313, 1170, 12574, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1125, 1282, 21927, 1518, 280, 175, 1220, 3004, 1835, 488, 125, 123, 124, 126, 1167, 488, 125, 123, 124, 128, 2368, 2665, 3511, 1595, 1469, 1158, 26371, 1227, 12574, 1186, 488, 125, 123, 124, 128, 121, 1643, 4726, 14759, 1823, 14663, 1303, 1186, 488, 125, 123, 124, 128, 1313, 1189, 3631, 20226, 4994, 1518, 280, 175, 1220, 3004, 21450, 1158, 4726, 1186, 1189, 3983, 1125, 488, 124, 126, 20857, 8691, 1234, 3594, 2011, 1835, 488, 125, 123, 124, 127, 1167, 488, 125, 123, 124, 130, 10803, 3451, 5964, 1299, 20896, 1303, 1215, 1518, 4436, 1186, 8398, 1125, 20857, 3594, 2011, 1835, 488, 125, 123, 124, 128, 1167, 488, 125, 123, 124, 131, 9994, 2038, 1197, 20857, 2093, 199, 2409, 20634, 1167, 5474, 23435, 1974, 12273, 4964, 1424, 150, 280, 175, 1220, 3004, 23435, 1974, 5964, 1424, 150, 4436, 7364, 5825, 1424, 23178, 2974, 13010, 172, 1530, 1333, 12290, 1167, 26731, 6668, 1313, 1170, 13010, 172, 1720, 25465, 1197, 4092, 488, 125, 123, 124, 123, 1720, 25465, 23332, 1313, 1170, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1720, 25465, 9053, 1215, 1518, 4436, 114, 32001, 1424, 32000, 20036, 19814, 22239, 133, 2093, 1120, 1110, 1492, 280, 185, 1108, 13010, 172, 6794, 1449, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1171, 10956, 1589, 1449, 1293, 28389, 4148, 23621, 2433, 17765, 1147, 1135, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 12574, 1449, 1518, 280, 175, 1220, 3004, 12871, 1107, 2910, 488, 125, 123, 124, 126, 1171, 488, 125, 123, 124, 128, 119, 2043, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1440, 3245, 1721, 2392, 1410, 6446, 6312, 1238, 12841, 2688, 2470, 3026, 10229, 1147, 1110, 1624, 12574, 1147, 488, 125, 123, 124, 128, 121, 1988, 1239, 18947, 1147, 1110, 3983, 1161, 488, 124, 126, 20737, 280, 6383, 20857, 9578, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 124, 130, 121, 1410, 9197, 3451, 1239, 8226, 1449, 1518, 4436, 1147, 1135, 2994, 2149, 1161, 20857, 9578, 2910, 488, 125, 123, 124, 128, 1171, 488, 125, 123, 124, 131, 7745, 31751, 1628, 2111, 192, 1239, 1110, 7148, 6176, 1618, 2000, 9622, 1324, 1765, 17969, 1147, 1110, 29983, 14447, 3041, 3187, 1386, 1463, 1905, 1163, 1184, 3683, 19416, 16018, 4233, 5388, 1296, 21041, 1645, 4270, 11204, 2433, 12963, 2979, 12855, 19416, 1724, 1239, 1110, 4472, 1105, 1446, 17655, 2000, 19847, 9010, 190, 1238, 1135, 2024, 4294, 1161, 6513, 1297, 31785, 1543, 1135, 2024, 4294, 1386, 1184, 1889, 1393, 1851, 1265, 1171, 1111, 1573, 13070, 121, 2133, 2712, 3016, 1163, 3139, 1238, 1173, 2111, 4353, 2000, 5837, 2764, 2062, 1151, 18162, 119, 1171, 5724, 2667, 30783, 1147, 3264, 1163, 2440, 2667, 1135, 3284, 6513, 1540, 1386, 1526, 14969, 12348, 1765, 7340, 1388, 7914, 1551, 1201, 1505, 1848, 19416, 1724, 1645, 4270, 1141, 2990, 1628, 2111, 192, 1204, 6533, 6220, 13519, 9212, 16133, 1145, 1651, 1720, 1953, 1136, 255, 1518, 1255, 17345, 6975, 176, 180, 1198, 1519, 1456, 4436, 1628, 1193, 2988, 3870, 14989, 2586, 1112, 1192, 7901, 196, 5224, 13519, 255, 7219, 1120, 17174, 2911, 1354, 1266, 1569, 1124, 1558, 1853, 255, 5778, 1173, 8270, 1720, 5363, 6280, 1231, 9827, 3050, 1176, 2298, 22690, 20420, 1569, 1514, 14731, 1154, 9827, 1198, 255, 5811, 19155, 1475, 6472, 1120, 6794, 1449, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1171, 10956, 1589, 1449, 1293, 28389, 4148, 23621, 3266, 1410, 6446, 8492, 2019, 9530, 3520, 1147, 1135, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 12574, 1449, 1518, 280, 175, 1220, 3004, 2910, 488, 125, 123, 124, 126, 1171, 488, 125, 123, 124, 128, 119, 1663, 19132, 1324, 1135, 12574, 1361, 12962, 1570, 1336, 1147, 488, 125, 123, 124, 128, 121, 1410, 6446, 1463, 16638, 1163, 1280, 31145, 1163, 1110, 1624, 12574, 1147, 488, 125, 123, 124, 128, 121, 1518, 280, 175, 1220, 3004, 8226, 1135, 6446, 1147, 1110, 3983, 1161, 488, 124, 126, 20737, 280, 6383, 20857, 9578, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 124, 130, 6043, 9197, 3451, 1239, 8226, 1449, 1518, 4436, 1324, 1135, 2994, 2149, 1161, 20857, 9578, 2910, 488, 125, 123, 124, 128, 1171, 488, 125, 123, 124, 131, 23460, 5510, 2396, 2938, 199, 2409, 1891, 9520, 1194, 149, 28832, 1983, 16794, 1339, 150, 280, 175, 1220, 3004, 23159, 30206, 16794, 1339, 150, 4436, 1194, 26722, 4672, 5893, 21311, 25465, 6446, 2105, 2494, 1171, 26731, 3007, 196, 1147, 13010, 6472, 125, 123, 124, 123, 190, 13010, 172, 1720, 25465, 8226, 1147, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1720, 25465, 8226, 1449, 1518, 4436, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 19814, 22239, 133, 2093, 1120, 1110, 1492, 280, 185, 1108, 13010, 172, 6794, 1449, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1171, 10956, 1589, 1449, 1293, 28389, 4148, 23621, 2433, 17765, 1147, 1135, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 12574, 1449, 1518, 280, 175, 1220, 3004, 12871, 1107, 2910, 488, 125, 123, 124, 126, 1171, 488, 125, 123, 124, 128, 119, 2043, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1440, 3245, 1721, 2392, 1410, 6446, 6312, 1238, 12841, 2688, 2470, 3026, 10229, 1147, 1110, 1624, 12574, 1147, 488, 125, 123, 124, 128, 121, 1988, 1239, 18947, 1147, 1110, 3983, 1161, 488, 124, 126, 20737, 280, 6383, 20857, 9578, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 124, 130, 121, 1410, 9197, 3451, 1239, 8226, 1449, 1518, 4436, 1147, 1135, 2994, 2149, 1161, 20857, 9578, 2910, 488, 125, 123, 124, 128, 1171, 488, 125, 123, 124, 131, 7745, 31751, 1628, 2111, 192, 1239, 1110, 7148, 6176, 1618, 2000, 9622, 1324, 1765, 17969, 1147, 1110, 29983, 14447, 3041, 3187, 1386, 1463, 1905, 1163, 1184, 3683, 19416, 16018, 4233, 5388, 1296, 21041, 1645, 4270, 11204, 2433, 12963, 2979, 12855, 19416, 1724, 1239, 1110, 4472, 1105, 1446, 17655, 2000, 19847, 9010, 190, 1238, 1135, 2024, 4294, 1161, 6513, 1297, 31785, 1543, 1135, 2024, 4294, 1386, 1184, 1889, 1393, 1851, 1265, 1171, 1111, 1573, 13070, 121, 2133, 2712, 3016, 1163, 3139, 1238, 1173, 2111, 4353, 2000, 5837, 2764, 2062, 1151, 18162, 119, 1171, 5724, 2667, 30783, 1147, 3264, 1163, 2440, 2667, 1135, 3284, 6513, 1540, 1386, 1526, 14969, 12348, 1765, 7340, 1388, 7914, 1551, 1201, 1505, 1848, 19416, 1724, 1645, 4270, 1141, 2990, 1628, 2111, 192, 1204, 6533, 6220, 13519, 9212, 16133, 1145, 1651, 1720, 1953, 1136, 255, 1518, 1255, 17345, 6975, 176, 180, 1198, 1519, 1456, 4436, 1628, 1193, 2988, 3870, 14989, 2586, 1112, 1192, 7901, 196, 5224, 13519, 255, 7219, 1120, 17174, 2911, 1354, 1266, 1569, 1124, 1558, 1853, 255, 5778, 1173, 8270, 1720, 5363, 6280, 1231, 9827, 3050, 1176, 2298, 22690, 20420, 1569, 1514, 14731, 1154, 9827, 1198, 255, 5811, 19155, 1475, 6472, 1120, 6794, 1449, 1204, 1953, 29513, 1266, 1943, 1195, 10103, 1171, 10956, 1589, 1449, 1293, 28389, 4148, 23621, 3266, 1410, 6446, 8492, 2019, 9530, 3520, 1147, 1135, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 12574, 1449, 1518, 280, 175, 1220, 3004, 2910, 488, 125, 123, 124, 126, 1171, 488, 125, 123, 124, 128, 119, 1663, 19132, 1324, 1135, 12574, 1361, 12962, 1570, 1336, 1147, 488, 125, 123, 124, 128, 121, 1410, 6446, 1463, 16638, 1163, 1280, 31145, 1163, 1110, 1624, 12574, 1147, 488, 125, 123, 124, 128, 121, 1518, 280, 175, 1220, 3004, 8226, 1135, 6446, 1147, 1110, 3983, 1161, 488, 124, 126, 20737, 280, 6383, 20857, 9578, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 124, 130, 6043, 9197, 3451, 1239, 8226, 1449, 1518, 4436, 1324, 1135, 2994, 2149, 1161, 20857, 9578, 2910, 488, 125, 123, 124, 128, 1171, 488, 125, 123, 124, 131, 23460, 5510, 2396, 2938, 199, 2409, 1891, 9520, 1194, 149, 28832, 1983, 16794, 1339, 150, 280, 175, 1220, 3004, 23159, 30206, 16794, 1339, 150, 4436, 1194, 26722, 4672, 5893, 21311, 25465, 6446, 2105, 2494, 1171, 26731, 3007, 196, 1147, 13010, 6472, 125, 123, 124, 123, 190, 13010, 172, 1720, 25465, 8226, 1147, 29070, 1269, 2460, 280, 185, 1108, 1248, 6210, 1720, 25465, 8226, 1449, 1518, 4436, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12616, 4685, 9901, 193, 1517, 2982, 11041, 17874, 2290, 1170, 1874, 1125, 1158, 4685, 1125, 5613, 1334, 1299, 1189, 20672, 12405, 14399, 1227, 11402, 31549, 6298, 8446, 1313, 1158, 3837, 1125, 1352, 1444, 2007, 1186, 13702, 1175, 12446, 2588, 1125, 31906, 4023, 15581, 4521, 12176, 4685, 1299, 10019, 1188, 1352, 1444, 2007, 1313, 1170, 12311, 1125, 1306, 1259, 1195, 24990, 1317, 488, 131, 129, 1125, 1158, 5820, 26045, 1165, 1371, 195, 29891, 1318, 16402, 5814, 1450, 1115, 12167, 1199, 1158, 2811, 1196, 10793, 1125, 1158, 1352, 1104, 13976, 1167, 5315, 22696, 3171, 20672, 13962, 1936, 4413, 1643, 19596, 15013, 1281, 18381, 1571, 488, 124, 127, 1125, 1158, 5820, 1125, 1202, 1630, 172, 1122, 1176, 10177, 15376, 2895, 16810, 1110, 1913, 27537, 3672, 1158, 3453, 13624, 1227, 11402, 31549, 6298, 23278, 25897, 6768, 1835, 488, 124, 130, 125, 130, 1167, 488, 124, 130, 126, 128, 121, 2576, 1124, 4096, 1227, 12685, 1522, 1687, 1370, 1197, 18273, 3918, 18800, 1167, 1408, 20305, 1197, 18273, 1125, 1776, 2365, 1125, 7479, 1484, 6304, 5193, 1256, 6780, 1125, 9901, 193, 1517, 2982, 1170, 3151, 7754, 3693, 1357, 1110, 20349, 1594, 1874, 1188, 1158, 25478, 2576, 26843, 12405, 1110, 1844, 11582, 2519, 19006, 1186, 488, 125, 123, 123, 127, 1256, 8753, 1189, 4779, 15857, 24913, 1300, 12436, 29227, 23159, 8247, 12846, 5820, 26045, 1165, 1371, 195, 1122, 2895, 19596, 1125, 1158, 5820, 26045, 1165, 1371, 195, 1122, 11358, 7762, 1828, 1473, 1167, 3203, 14434, 11779, 1250, 1754, 1741, 1576, 1548, 2024, 173, 14443, 1299, 8922, 1186, 8791, 15985, 1369, 3064, 1124, 2348, 1167, 1170, 4933, 1125, 1158, 19596, 1299, 15740, 1186, 1138, 3415, 1469, 20767, 1112, 1525, 1186, 8791, 15985, 7441, 14715, 1207, 21843, 1429, 1508, 6250, 5049, 1188, 1455, 1435, 1541, 1931, 1701, 1189, 8021, 3840, 1250, 1167, 1125, 10240, 18978, 18436, 6441, 1170, 4041, 121, 1548, 19121, 1125, 1158, 19596, 1299, 15231, 244, 2519, 16402, 19331, 1124, 1245, 27492, 120, 7095, 121, 1643, 4665, 30652, 1281, 18381, 1300, 1158, 1828, 1303, 1125, 10793, 14023, 8247, 12846, 5820, 1125, 1202, 1630, 172, 1122, 1176, 2895, 19596, 10019, 1313, 1158, 5715, 5820, 1125, 1202, 1630, 172, 1122, 1176, 1299, 5998, 22323, 1188, 4421, 1125, 1158, 5820, 26045, 1165, 1371, 195, 1122, 4880, 7106, 4647, 4542, 9359, 21843, 1429, 116, 5504, 11858, 1125, 1158, 4665, 30652, 1281, 2668, 1199, 1300, 1158, 6311, 1828, 1303, 19155, 5540, 1125, 5613, 1334, 19624, 488, 125, 123, 123, 127, 119, 1158, 4685, 1125, 5613, 1334, 1167, 1170, 4779, 15857, 24913, 1125, 12436, 119, 9005, 3247, 1125, 1282, 2235, 15118, 23651, 1132, 8012, 7723, 1129, 1158, 4685, 9901, 193, 1517, 1109, 11488, 1167, 20117, 20544, 11052, 27012, 1227, 11639, 13313, 14399, 1125, 1352, 1444, 2007, 28007, 10777, 1125, 1158, 1158, 1314, 1167, 1125, 1158, 4334, 27674, 17530, 184, 2818, 1720, 16149, 15814, 9871, 27674, 22375, 1119, 17994, 2073, 121, 2186, 149, 11010, 1749, 1167, 6709, 8342, 4776, 2699, 119, 1643, 5646, 1227, 11639, 6076, 3561, 1753, 18630, 7658, 16801, 1125, 26341, 1227, 5450, 9330, 8101, 2114, 4405, 1988, 1109, 1797, 4505, 1227, 5450, 9330, 8101, 2114, 488, 125, 123, 123, 130, 119, 5701, 488, 124, 124, 128, 12662, 1128, 9330, 1227, 11402, 31549, 6298, 1566, 1128, 9330, 14399, 1188, 1352, 1444, 2007, 26941, 193, 1517, 1109, 2056, 237, 19558, 1188, 1352, 1444, 2007, 32001, 1424, 32000, 20036, 3616, 9901, 193, 1517, 1109, 31947, 7455, 5388, 1296, 1135, 6842, 1161, 20692, 1659, 1239, 1110, 1936, 4474, 6540, 1446, 1135, 488, 124, 131, 1276, 14851, 8452, 1147, 1135, 5100, 1161, 1352, 1444, 2007, 1147, 8996, 3282, 1175, 12446, 2588, 1161, 31906, 4023, 12606, 9693, 5360, 1239, 8452, 1147, 1352, 1444, 2007, 1147, 1135, 1306, 1259, 1195, 1258, 18959, 119, 1355, 488, 131, 129, 5820, 26045, 1165, 1371, 195, 29891, 1110, 6459, 13243, 4957, 1135, 2626, 8617, 1161, 1135, 1352, 1104, 13976, 16695, 1324, 5057, 1936, 4474, 6540, 1297, 1410, 25380, 2415, 2240, 1239, 8452, 1355, 488, 124, 127, 5820, 1125, 1202, 1630, 172, 1122, 1176, 10177, 7055, 3616, 5360, 1463, 7406, 3545, 1135, 1940, 6681, 1161, 1135, 488, 124, 131, 1276, 31046, 7850, 2910, 488, 124, 130, 125, 130, 1171, 488, 124, 130, 126, 128, 121, 1410, 25380, 1161, 1135, 6540, 10077, 1156, 3918, 8553, 23515, 1285, 16665, 1870, 2393, 6774, 1226, 1135, 4052, 1161, 14008, 119, 7406, 1226, 6780, 1125, 9901, 193, 1517, 2982, 1135, 1940, 3022, 1659, 2000, 9448, 1765, 2220, 1163, 1135, 5360, 121, 1410, 6540, 2670, 194, 1129, 2377, 4078, 1147, 488, 125, 123, 123, 127, 1163, 5180, 1110, 4784, 16523, 1162, 8302, 29227, 23159, 1183, 12846, 5820, 26045, 1165, 1371, 195, 1122, 3616, 2415, 2240, 1238, 5820, 26045, 1165, 1371, 195, 1122, 1602, 5992, 1138, 1775, 1171, 3337, 10252, 8705, 1963, 6162, 1500, 1576, 1410, 2989, 1160, 1239, 3062, 1161, 13403, 3208, 2736, 29191, 1171, 1135, 2377, 1161, 1135, 2415, 2240, 1239, 1138, 8543, 1324, 2736, 29191, 2577, 14385, 3454, 1135, 19305, 1393, 1191, 4270, 20480, 1324, 6228, 2267, 1385, 190, 12959, 1171, 12332, 6029, 6987, 6612, 1163, 1135, 28280, 1410, 3263, 1161, 1135, 2415, 2240, 1602, 1151, 4006, 26885, 1267, 1355, 1310, 26162, 1410, 26182, 10849, 1239, 1238, 1135, 2626, 1138, 1242, 14023, 1183, 12846, 5820, 1125, 1202, 1630, 172, 1122, 1176, 3616, 2415, 2240, 1238, 1135, 3810, 5820, 1125, 1202, 1630, 172, 1122, 1176, 1239, 7367, 6670, 1163, 1302, 1238, 5820, 26045, 1165, 1371, 195, 1122, 3615, 1344, 5647, 1285, 2994, 7021, 4495, 5547, 1226, 1135, 26182, 1560, 4834, 1758, 1239, 1238, 1135, 2423, 1138, 1242, 10177, 2566, 1161, 13556, 1628, 2588, 488, 125, 123, 123, 127, 119, 1135, 6842, 1161, 13556, 1171, 1135, 4784, 16523, 1162, 2630, 1659, 1910, 1161, 1135, 5512, 24100, 9921, 23651, 1132, 8012, 1537, 31311, 1135, 9901, 193, 1517, 1109, 6842, 1388, 1891, 9520, 1194, 21320, 1959, 1194, 12225, 1589, 3760, 1489, 1267, 1161, 14347, 20646, 1147, 1352, 1444, 2007, 3050, 7569, 1926, 8302, 1161, 1144, 1949, 1171, 16414, 27674, 17530, 184, 2818, 1720, 16149, 15814, 9871, 27674, 22375, 1119, 12323, 4807, 11114, 2073, 121, 2186, 149, 11010, 1749, 1171, 6709, 8342, 4776, 2699, 119, 1410, 17497, 2067, 13769, 5646, 119, 1753, 18630, 7658, 2885, 2984, 1161, 1135, 11109, 6855, 31051, 28003, 3212, 1988, 4975, 8336, 1161, 11109, 6855, 31051, 4405, 119, 488, 125, 123, 123, 130, 119, 5701, 488, 124, 124, 128, 1194, 124, 131, 1276, 14851, 2067, 13769, 1489, 7428, 2067, 13769, 1147, 1352, 1444, 2007, 26941, 193, 1517, 1109, 2056, 7449, 1149, 1147, 1352, 1444, 25941, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 9901, 193, 1517, 1109, 31947, 7455, 5388, 1296, 1135, 6842, 1161, 20692, 1659, 1239, 1110, 1936, 4474, 6540, 1446, 1135, 488, 124, 131, 1276, 14851, 8452, 1147, 1135, 5100, 1161, 1352, 1444, 2007, 1147, 8996, 3282, 1175, 12446, 2588, 1161, 31906, 4023, 12606, 9693, 5360, 1239, 8452, 1147, 1352, 1444, 2007, 1147, 1135, 1306, 1259, 1195, 1258, 18959, 119, 1355, 488, 131, 129, 5820, 26045, 1165, 1371, 195, 29891, 1110, 6459, 13243, 4957, 1135, 2626, 8617, 1161, 1135, 1352, 1104, 13976, 16695, 1324, 5057, 1936, 4474, 6540, 1297, 1410, 25380, 2415, 2240, 1239, 8452, 1355, 488, 124, 127, 5820, 1125, 1202, 1630, 172, 1122, 1176, 10177, 7055, 3616, 5360, 1463, 7406, 3545, 1135, 1940, 6681, 1161, 1135, 488, 124, 131, 1276, 31046, 7850, 2910, 488, 124, 130, 125, 130, 1171, 488, 124, 130, 126, 128, 121, 1410, 25380, 1161, 1135, 6540, 10077, 1156, 3918, 8553, 23515, 1285, 16665, 1870, 2393, 6774, 1226, 1135, 4052, 1161, 14008, 119, 7406, 1226, 6780, 1125, 9901, 193, 1517, 2982, 1135, 1940, 3022, 1659, 2000, 9448, 1765, 2220, 1163, 1135, 5360, 121, 1410, 6540, 2670, 194, 1129, 2377, 4078, 1147, 488, 125, 123, 123, 127, 1163, 5180, 1110, 4784, 16523, 1162, 8302, 29227, 23159, 1183, 12846, 5820, 26045, 1165, 1371, 195, 1122, 3616, 2415, 2240, 1238, 5820, 26045, 1165, 1371, 195, 1122, 1602, 5992, 1138, 1775, 1171, 3337, 10252, 8705, 1963, 6162, 1500, 1576, 1410, 2989, 1160, 1239, 3062, 1161, 13403, 3208, 2736, 29191, 1171, 1135, 2377, 1161, 1135, 2415, 2240, 1239, 1138, 8543, 1324, 2736, 29191, 2577, 14385, 3454, 1135, 19305, 1393, 1191, 4270, 20480, 1324, 6228, 2267, 1385, 190, 12959, 1171, 12332, 6029, 6987, 6612, 1163, 1135, 28280, 1410, 3263, 1161, 1135, 2415, 2240, 1602, 1151, 4006, 26885, 1267, 1355, 1310, 26162, 1410, 26182, 10849, 1239, 1238, 1135, 2626, 1138, 1242, 14023, 1183, 12846, 5820, 1125, 1202, 1630, 172, 1122, 1176, 3616, 2415, 2240, 1238, 1135, 3810, 5820, 1125, 1202, 1630, 172, 1122, 1176, 1239, 7367, 6670, 1163, 1302, 1238, 5820, 26045, 1165, 1371, 195, 1122, 3615, 1344, 5647, 1285, 2994, 7021, 4495, 5547, 1226, 1135, 26182, 1560, 4834, 1758, 1239, 1238, 1135, 2423, 1138, 1242, 10177, 2566, 1161, 13556, 1628, 2588, 488, 125, 123, 123, 127, 119, 1135, 6842, 1161, 13556, 1171, 1135, 4784, 16523, 1162, 2630, 1659, 1910, 1161, 1135, 5512, 24100, 9921, 23651, 1132, 8012, 1537, 31311, 1135, 9901, 193, 1517, 1109, 6842, 1388, 1891, 9520, 1194, 21320, 1959, 1194, 12225, 1589, 3760, 1489, 1267, 1161, 14347, 20646, 1147, 1352, 1444, 2007, 3050, 7569, 1926, 8302, 1161, 1144, 1949, 1171, 16414, 27674, 17530, 184, 2818, 1720, 16149, 15814, 9871, 27674, 22375, 1119, 12323, 4807, 11114, 2073, 121, 2186, 149, 11010, 1749, 1171, 6709, 8342, 4776, 2699, 119, 1410, 17497, 2067, 13769, 5646, 119, 1753, 18630, 7658, 2885, 2984, 1161, 1135, 11109, 6855, 31051, 28003, 3212, 1988, 4975, 8336, 1161, 11109, 6855, 31051, 4405, 119, 488, 125, 123, 123, 130, 119, 5701, 488, 124, 124, 128, 1194, 124, 131, 1276, 14851, 2067, 13769, 1489, 7428, 2067, 13769, 1147, 1352, 1444, 2007, 26941, 193, 1517, 1109, 2056, 7449, 1149, 1147, 1352, 1444, 25941, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 18604, 6556, 1170, 2579, 4626, 144, 18505, 8263, 11419, 5285, 1303, 116, 1299, 1189, 2579, 1125, 7762, 23939, 1175, 1134, 4500, 16230, 1167, 1318, 8710, 116, 31716, 1215, 19949, 7872, 1188, 2797, 5625, 1167, 1188, 7383, 1125, 1909, 9950, 2391, 1125, 1594, 15224, 1317, 22139, 1173, 3774, 1743, 18146, 2932, 2579, 20675, 1439, 1594, 8263, 11419, 1215, 6891, 1188, 1158, 1874, 1108, 1395, 1861, 1304, 20434, 5964, 6229, 7761, 116, 1313, 1561, 3451, 1125, 488, 125, 123, 123, 131, 119, 2442, 1170, 2579, 4626, 144, 1299, 2072, 13348, 2579, 1266, 7761, 121, 6487, 21802, 2121, 1238, 28606, 1170, 2579, 4626, 1743, 1256, 10319, 1167, 1170, 2579, 4626, 2699, 1256, 1207, 9950, 1388, 154, 3209, 30074, 1167, 9585, 6810, 15624, 2579, 4626, 144, 1299, 1189, 29904, 12320, 1132, 1256, 1158, 30074, 17266, 119, 1734, 1527, 1299, 1188, 1158, 2989, 1197, 5971, 1525, 1197, 5221, 1215, 6485, 20258, 121, 10976, 1158, 3707, 1197, 8787, 1300, 1158, 4356, 7568, 8350, 1105, 1397, 1278, 2340, 1167, 5197, 2340, 1167, 4421, 1197, 9411, 3902, 1188, 6454, 1227, 1721, 9462, 1129, 1186, 3828, 3247, 1125, 21859, 3759, 2335, 2579, 4626, 144, 6447, 1188, 3219, 5625, 121, 1548, 2579, 4626, 144, 5441, 13274, 24951, 1125, 5219, 1309, 1256, 1207, 7981, 5770, 11212, 2442, 1995, 1197, 10932, 1285, 1197, 5221, 1362, 1197, 14292, 14717, 1362, 9238, 2830, 5393, 1207, 14384, 1256, 13969, 1170, 4322, 1283, 4791, 2134, 6092, 8267, 1369, 1362, 2134, 5234, 1186, 2321, 1125, 7548, 1362, 1125, 7571, 1357, 1964, 1508, 2555, 6712, 1256, 8398, 8643, 6041, 13267, 1982, 1313, 1440, 4154, 1227, 2579, 4626, 144, 1299, 1125, 1964, 8306, 119, 1170, 2579, 4626, 144, 31716, 1215, 19949, 7872, 1288, 11755, 22957, 7161, 11540, 7791, 14647, 180, 2392, 1266, 11547, 15510, 1561, 6216, 1300, 1170, 30283, 1125, 12180, 1299, 1189, 11540, 10117, 1388, 9183, 1227, 2579, 2757, 488, 125, 123, 123, 131, 1194, 216, 3862, 1227, 1859, 1170, 2579, 4626, 144, 1110, 6590, 1594, 4561, 27426, 180, 1125, 5999, 1188, 7762, 11326, 1256, 1281, 4271, 1186, 13442, 1469, 1197, 14450, 8480, 23063, 1257, 1207, 5999, 9881, 11326, 7723, 1473, 1215, 5999, 16230, 1508, 10043, 1485, 1317, 2579, 1266, 2450, 8250, 7841, 1125, 1158, 1874, 1108, 1395, 1861, 30074, 1197, 5736, 13441, 1313, 1158, 9287, 6923, 6229, 10388, 1576, 1643, 8710, 1186, 24501, 11019, 6128, 116, 3620, 1227, 2579, 1299, 5865, 1188, 1158, 2315, 3143, 1309, 1170, 2579, 2666, 14317, 1571, 5736, 13441, 14374, 1227, 3293, 6034, 8943, 1424, 1266, 7761, 3591, 1188, 2574, 1186, 488, 125, 123, 123, 131, 119, 4070, 2232, 1266, 7761, 488, 125, 123, 123, 131, 1257, 488, 130, 124, 121, 124, 125, 141, 1459, 20073, 1374, 2620, 8787, 6048, 106, 4113, 1313, 1271, 20246, 1266, 7761, 1188, 2232, 1266, 7761, 488, 125, 123, 123, 126, 1257, 488, 130, 127, 121, 125, 142, 1459, 20073, 1374, 2620, 8787, 6048, 9323, 1167, 20117, 20544, 11052, 1424, 14338, 106, 25033, 4688, 1175, 6719, 1260, 1266, 4043, 1395, 1861, 1304, 20434, 5964, 6229, 7761, 1718, 28870, 5825, 106, 5144, 9761, 1125, 1271, 2897, 144, 1300, 1170, 1865, 1125, 19949, 7872, 106, 1266, 4043, 1395, 1861, 1283, 20434, 5964, 1300, 1170, 1865, 1125, 17289, 7872, 1194, 2003, 12224, 13441, 3229, 7872, 26069, 3149, 1304, 20346, 1197, 5221, 32001, 1424, 32000, 20036, 3229, 6556, 1135, 4626, 144, 2579, 18024, 2274, 10661, 15334, 1656, 116, 1239, 1110, 2579, 1161, 5992, 8153, 7393, 1157, 16306, 1171, 1704, 9149, 116, 18986, 1449, 1459, 7872, 1163, 2600, 4571, 1171, 2483, 1161, 2019, 12735, 1525, 2043, 8159, 1149, 1147, 1135, 1173, 3774, 1743, 144, 10506, 121, 2192, 2579, 3822, 1429, 2019, 2274, 10661, 1449, 6543, 12826, 1163, 1135, 9197, 10661, 1874, 1108, 1395, 1861, 6229, 7761, 116, 1147, 2019, 488, 125, 123, 123, 131, 3451, 119, 1540, 1135, 4626, 144, 2579, 1239, 1959, 4494, 1135, 1266, 7761, 31705, 6044, 4710, 5653, 1970, 1239, 1110, 21964, 2910, 1135, 4626, 144, 2579, 1226, 1135, 4571, 1171, 1135, 4626, 144, 2579, 1226, 1135, 12735, 1525, 1388, 2003, 2598, 3043, 5869, 1171, 8462, 4551, 14860, 4626, 144, 2579, 1239, 11853, 3033, 1226, 3434, 5770, 16937, 1296, 1341, 14205, 1135, 12075, 1226, 1936, 26886, 7629, 1449, 10783, 1161, 2625, 8389, 19926, 1135, 6159, 1161, 11569, 1238, 1135, 8947, 8350, 22443, 7623, 1171, 29293, 24307, 1296, 2632, 1296, 1135, 6159, 1161, 6966, 3062, 3969, 1163, 1135, 14510, 21089, 19973, 1238, 23315, 9664, 1149, 1151, 4626, 144, 2579, 1163, 2483, 29057, 1410, 4626, 144, 2579, 2155, 1602, 8462, 2246, 1226, 30736, 4022, 1297, 19926, 1411, 10932, 1285, 5306, 3939, 1329, 3172, 1329, 1721, 15202, 2179, 1135, 14384, 1163, 9987, 1135, 12965, 1161, 1110, 25713, 3737, 1329, 1110, 6013, 4558, 1238, 1789, 3022, 9913, 1329, 2200, 1285, 1135, 17208, 1226, 1789, 2179, 1161, 1135, 4626, 144, 2579, 1147, 2536, 21664, 1634, 21268, 1324, 10801, 1296, 1135, 4626, 144, 2579, 18986, 1449, 1459, 7872, 1526, 2155, 6394, 1296, 1151, 20200, 4907, 121, 22269, 2653, 19879, 2019, 6216, 1238, 1135, 3293, 6448, 1239, 29916, 1388, 4706, 4561, 3976, 488, 125, 123, 123, 131, 1194, 7930, 1149, 1446, 1859, 1135, 4626, 144, 2579, 1602, 24967, 1446, 3663, 1163, 5992, 11326, 1163, 1417, 1269, 1324, 7127, 14450, 8480, 133, 1135, 1940, 3663, 11326, 31311, 1449, 3663, 16306, 1393, 30092, 1163, 1135, 1266, 10388, 21138, 20343, 1446, 1135, 30736, 1874, 1108, 1395, 1861, 1161, 8947, 10669, 1147, 1135, 7127, 4991, 6229, 10388, 1576, 1410, 9149, 1147, 1135, 20405, 10418, 2977, 116, 3620, 1161, 1135, 2579, 1239, 4710, 1163, 2315, 1540, 1302, 1135, 2579, 1239, 8482, 1427, 1163, 1135, 24420, 4710, 8947, 10669, 6034, 2285, 1875, 7761, 11574, 1147, 488, 125, 123, 123, 131, 119, 1226, 3319, 1339, 153, 7761, 488, 125, 123, 123, 131, 133, 488, 130, 124, 121, 124, 125, 141, 12005, 1107, 2064, 12864, 11569, 6089, 1121, 3878, 190, 1147, 1135, 4006, 1266, 7761, 1163, 1339, 153, 7761, 488, 125, 123, 123, 126, 133, 488, 130, 127, 121, 125, 142, 12005, 1107, 2064, 12864, 11569, 1194, 21320, 1959, 1194, 12225, 1589, 17751, 5383, 16366, 3052, 1968, 1755, 1162, 1175, 21714, 15856, 30206, 10661, 1874, 1108, 1395, 1861, 6229, 7761, 1718, 26722, 14520, 7069, 9761, 1161, 4626, 144, 1238, 1135, 1459, 7872, 4877, 2105, 30206, 10661, 1874, 1108, 1395, 1861, 1238, 1135, 1459, 7872, 4877, 1194, 144, 3300, 1146, 5770, 1310, 2523, 1428, 7872, 3198, 187, 2721, 21925, 2149, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3229, 6556, 1135, 4626, 144, 2579, 18024, 2274, 10661, 15334, 1656, 116, 1239, 1110, 2579, 1161, 5992, 8153, 7393, 1157, 16306, 1171, 1704, 9149, 116, 18986, 1449, 1459, 7872, 1163, 2600, 4571, 1171, 2483, 1161, 2019, 12735, 1525, 2043, 8159, 1149, 1147, 1135, 1173, 3774, 1743, 144, 10506, 121, 2192, 2579, 3822, 1429, 2019, 2274, 10661, 1449, 6543, 12826, 1163, 1135, 9197, 10661, 1874, 1108, 1395, 1861, 6229, 7761, 116, 1147, 2019, 488, 125, 123, 123, 131, 3451, 119, 1540, 1135, 4626, 144, 2579, 1239, 1959, 4494, 1135, 1266, 7761, 31705, 6044, 4710, 5653, 1970, 1239, 1110, 21964, 2910, 1135, 4626, 144, 2579, 1226, 1135, 4571, 1171, 1135, 4626, 144, 2579, 1226, 1135, 12735, 1525, 1388, 2003, 2598, 3043, 5869, 1171, 8462, 4551, 14860, 4626, 144, 2579, 1239, 11853, 3033, 1226, 3434, 5770, 16937, 1296, 1341, 14205, 1135, 12075, 1226, 1936, 26886, 7629, 1449, 10783, 1161, 2625, 8389, 19926, 1135, 6159, 1161, 11569, 1238, 1135, 8947, 8350, 22443, 7623, 1171, 29293, 24307, 1296, 2632, 1296, 1135, 6159, 1161, 6966, 3062, 3969, 1163, 1135, 14510, 21089, 19973, 1238, 23315, 9664, 1149, 1151, 4626, 144, 2579, 1163, 2483, 29057, 1410, 4626, 144, 2579, 2155, 1602, 8462, 2246, 1226, 30736, 4022, 1297, 19926, 1411, 10932, 1285, 5306, 3939, 1329, 3172, 1329, 1721, 15202, 2179, 1135, 14384, 1163, 9987, 1135, 12965, 1161, 1110, 25713, 3737, 1329, 1110, 6013, 4558, 1238, 1789, 3022, 9913, 1329, 2200, 1285, 1135, 17208, 1226, 1789, 2179, 1161, 1135, 4626, 144, 2579, 1147, 2536, 21664, 1634, 21268, 1324, 10801, 1296, 1135, 4626, 144, 2579, 18986, 1449, 1459, 7872, 1526, 2155, 6394, 1296, 1151, 20200, 4907, 121, 22269, 2653, 19879, 2019, 6216, 1238, 1135, 3293, 6448, 1239, 29916, 1388, 4706, 4561, 3976, 488, 125, 123, 123, 131, 1194, 7930, 1149, 1446, 1859, 1135, 4626, 144, 2579, 1602, 24967, 1446, 3663, 1163, 5992, 11326, 1163, 1417, 1269, 1324, 7127, 14450, 8480, 133, 1135, 1940, 3663, 11326, 31311, 1449, 3663, 16306, 1393, 30092, 1163, 1135, 1266, 10388, 21138, 20343, 1446, 1135, 30736, 1874, 1108, 1395, 1861, 1161, 8947, 10669, 1147, 1135, 7127, 4991, 6229, 10388, 1576, 1410, 9149, 1147, 1135, 20405, 10418, 2977, 116, 3620, 1161, 1135, 2579, 1239, 4710, 1163, 2315, 1540, 1302, 1135, 2579, 1239, 8482, 1427, 1163, 1135, 24420, 4710, 8947, 10669, 6034, 2285, 1875, 7761, 11574, 1147, 488, 125, 123, 123, 131, 119, 1226, 3319, 1339, 153, 7761, 488, 125, 123, 123, 131, 133, 488, 130, 124, 121, 124, 125, 141, 12005, 1107, 2064, 12864, 11569, 6089, 1121, 3878, 190, 1147, 1135, 4006, 1266, 7761, 1163, 1339, 153, 7761, 488, 125, 123, 123, 126, 133, 488, 130, 127, 121, 125, 142, 12005, 1107, 2064, 12864, 11569, 1194, 21320, 1959, 1194, 12225, 1589, 17751, 5383, 16366, 3052, 1968, 1755, 1162, 1175, 21714, 15856, 30206, 10661, 1874, 1108, 1395, 1861, 6229, 7761, 1718, 26722, 14520, 7069, 9761, 1161, 4626, 144, 1238, 1135, 1459, 7872, 4877, 2105, 30206, 10661, 1874, 1108, 1395, 1861, 1238, 1135, 1459, 7872, 4877, 1194, 144, 3300, 1146, 5770, 1310, 2523, 1428, 7872, 3198, 187, 2721, 21925, 2149, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 5318, 3477, 1239, 1905, 1135, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 16794, 1161, 1135, 5584, 13013, 17295, 13121, 121, 1988, 1239, 1135, 488, 124, 123, 1276, 16794, 1161, 1413, 12621, 1758, 16669, 1324, 1325, 3881, 1217, 9687, 1361, 19542, 4064, 3569, 15989, 5012, 1960, 1355, 1753, 2240, 28428, 1388, 27166, 1393, 2197, 11748, 1446, 1135, 7219, 3770, 1119, 11859, 9164, 1147, 1135, 2804, 121, 5375, 2197, 11748, 1393, 17905, 1325, 3881, 1217, 9687, 1171, 3569, 15989, 5012, 17285, 1410, 2804, 16669, 1324, 1110, 19542, 1226, 1325, 2450, 1324, 1110, 8194, 1161, 2197, 15083, 1163, 1704, 1388, 162, 2450, 21751, 1135, 12621, 1226, 1135, 2763, 1940, 1907, 1147, 2019, 5517, 1171, 8647, 2019, 1170, 30948, 1135, 7219, 3770, 1119, 1548, 30948, 1163, 5994, 4593, 27568, 1147, 1135, 12621, 3976, 2019, 2050, 2392, 11441, 1239, 17809, 1589, 1226, 1135, 1940, 1907, 1147, 1135, 2804, 1161, 1135, 12621, 119, 2470, 16403, 2155, 1704, 13121, 1147, 488, 124, 132, 127, 131, 9994, 152, 4657, 3046, 1121, 3770, 186, 13340, 1194, 13386, 27400, 11934, 6786, 27400, 1194, 2103, 3456, 27400, 23159, 1157, 1276, 27400, 5532, 159, 4657, 7224, 10557, 1575, 13340, 1194, 13386, 27400, 11934, 6786, 27400, 1194, 2103, 3456, 27400, 5532, 140, 4657, 120, 3681, 2104, 13340, 1194, 13386, 27400, 1410, 15792, 1161, 1135, 8042, 27400, 2025, 9273, 1238, 12877, 7745, 6786, 27400, 1410, 15792, 1161, 1135, 13719, 27400, 2025, 9273, 1238, 12877, 1388, 2103, 3456, 27400, 1410, 15792, 1161, 1135, 27892, 27400, 2025, 9273, 1238, 12877, 14023, 1157, 1276, 27400, 1410, 15792, 1161, 1135, 14560, 1276, 27400, 2025, 9273, 1238, 12877, 14023, 1221, 1276, 27400, 1410, 15792, 1161, 1135, 1252, 1221, 1276, 27400, 2025, 9273, 1238, 12877, 7745, 1757, 1276, 27400, 1410, 2722, 14636, 8928, 15792, 2025, 9273, 1238, 12877, 1388, 5015, 4657, 120, 3765, 1119, 13340, 1194, 13386, 27400, 2093, 22464, 27400, 2093, 2103, 3456, 27400, 28912, 1157, 1276, 27400, 28912, 1221, 1276, 27400, 23178, 1757, 1276, 27400, 2093, 12645, 4657, 120, 20853, 1314, 13340, 1194, 13386, 27400, 2093, 22464, 27400, 1194, 2103, 3456, 27400, 23159, 1157, 1276, 27400, 23159, 7261, 4045, 13340, 24281, 1615, 1161, 488, 124, 129, 9028, 1156, 1238, 133, 2093, 2834, 14636, 1773, 2314, 14907, 190, 1161, 1135, 13191, 1773, 2314, 1161, 1135, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 5584, 13013, 13121, 2938, 158, 1320, 8092, 1773, 2314, 2093, 25896, 1161, 1135, 24868, 1773, 2314, 1161, 1135, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 5584, 13013, 13121, 2938, 145, 7261, 14907, 190, 1161, 1135, 2804, 1161, 1135, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 5584, 13013, 13121, 9273, 1238, 488, 6034, 6911, 14520, 9323, 1171, 22874, 4713, 3036, 13013, 17295, 13121, 114, 32001, 1424, 32000, 20036, 28956, 3477, 9886, 1125, 5753, 1974, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 1125, 7711, 121, 1768, 10515, 1125, 1158, 488, 124, 123, 2247, 9891, 1125, 1816, 15142, 1357, 1281, 20235, 1215, 1158, 14789, 1227, 1325, 3881, 1217, 9687, 3691, 1188, 1282, 3488, 15989, 5012, 1960, 1317, 1753, 2240, 28428, 8273, 176, 1508, 2069, 10431, 1125, 1158, 15696, 1227, 13728, 1357, 1281, 7120, 1129, 1186, 1622, 5907, 4466, 2069, 10431, 1508, 25472, 1170, 1325, 3881, 1217, 9687, 1167, 1282, 3488, 15989, 5012, 17285, 1643, 12244, 1281, 20235, 1215, 1318, 14789, 1227, 1325, 2450, 1300, 1170, 8194, 1125, 2069, 25460, 1188, 1189, 8155, 1325, 2450, 18900, 1158, 15142, 1256, 1158, 2797, 3453, 2768, 1125, 1594, 7635, 1167, 2856, 1188, 1561, 26185, 3955, 1158, 15696, 1227, 13728, 27776, 4593, 8470, 1313, 1158, 15142, 2757, 1561, 2180, 2392, 2576, 3488, 140, 1299, 2968, 1370, 1256, 1158, 3453, 2768, 1186, 12244, 1313, 1158, 15142, 119, 2750, 2782, 27216, 1318, 5860, 11609, 1186, 488, 124, 132, 127, 131, 1388, 2951, 174, 1627, 1200, 152, 4657, 9420, 1237, 12662, 26503, 6745, 1194, 2524, 1250, 3555, 6745, 24367, 2607, 3555, 6745, 1194, 2834, 15016, 6745, 1194, 2951, 174, 1627, 1200, 159, 4657, 7224, 10557, 1214, 12662, 26503, 6745, 1194, 2524, 1250, 3555, 6745, 24367, 2607, 3555, 6745, 1194, 2951, 174, 1627, 3526, 4657, 120, 3681, 2104, 12662, 26503, 3543, 1808, 20825, 1125, 11824, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 31265, 1250, 3555, 3543, 1808, 20825, 1125, 12932, 3555, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 18898, 2607, 3555, 3543, 1808, 20825, 1125, 17220, 3555, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 1388, 2834, 15016, 6745, 1808, 20825, 1125, 2722, 15016, 6745, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 8273, 19256, 3555, 6745, 1808, 20825, 1125, 1165, 19256, 3555, 6745, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 7745, 1757, 3555, 6745, 1808, 20825, 1125, 2722, 8752, 1125, 12244, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 1388, 2951, 174, 1627, 19549, 4657, 120, 3765, 1119, 12662, 26503, 6745, 1170, 1194, 2524, 1250, 3555, 6745, 1170, 8623, 159, 2607, 3555, 6745, 1170, 8623, 2834, 15016, 6745, 1170, 8623, 142, 19256, 3555, 6745, 1170, 8623, 158, 1757, 3555, 6745, 1170, 8623, 2951, 174, 1627, 23723, 4657, 120, 20853, 1314, 12662, 26503, 6745, 1170, 1194, 2524, 1250, 3555, 6745, 1170, 24367, 2607, 3555, 6745, 1170, 1194, 2834, 15016, 6745, 1170, 1194, 2951, 174, 1627, 1197, 2804, 4195, 22195, 192, 1477, 2247, 1125, 12244, 25231, 244, 1170, 8623, 2834, 8752, 1125, 12244, 9670, 18036, 1197, 1179, 8752, 1125, 12244, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 2938, 24864, 8092, 1773, 2137, 24281, 1234, 18036, 1197, 20456, 1773, 2137, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 2938, 16519, 1366, 9670, 18036, 1227, 12244, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 1643, 12244, 3227, 1303, 1170, 6749, 28870, 5825, 9323, 1167, 5474, 12498, 6494, 5519, 9971, 1227, 6973, 1125, 7711, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 28956, 3477, 9886, 1125, 5753, 1974, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 1125, 7711, 121, 1768, 10515, 1125, 1158, 488, 124, 123, 2247, 9891, 1125, 1816, 15142, 1357, 1281, 20235, 1215, 1158, 14789, 1227, 1325, 3881, 1217, 9687, 3691, 1188, 1282, 3488, 15989, 5012, 1960, 1317, 1753, 2240, 28428, 8273, 176, 1508, 2069, 10431, 1125, 1158, 15696, 1227, 13728, 1357, 1281, 7120, 1129, 1186, 1622, 5907, 4466, 2069, 10431, 1508, 25472, 1170, 1325, 3881, 1217, 9687, 1167, 1282, 3488, 15989, 5012, 17285, 1643, 12244, 1281, 20235, 1215, 1318, 14789, 1227, 1325, 2450, 1300, 1170, 8194, 1125, 2069, 25460, 1188, 1189, 8155, 1325, 2450, 18900, 1158, 15142, 1256, 1158, 2797, 3453, 2768, 1125, 1594, 7635, 1167, 2856, 1188, 1561, 26185, 3955, 1158, 15696, 1227, 13728, 27776, 4593, 8470, 1313, 1158, 15142, 2757, 1561, 2180, 2392, 2576, 3488, 140, 1299, 2968, 1370, 1256, 1158, 3453, 2768, 1186, 12244, 1313, 1158, 15142, 119, 2750, 2782, 27216, 1318, 5860, 11609, 1186, 488, 124, 132, 127, 131, 1388, 2951, 174, 1627, 1200, 152, 4657, 9420, 1237, 12662, 26503, 6745, 1194, 2524, 1250, 3555, 6745, 24367, 2607, 3555, 6745, 1194, 2834, 15016, 6745, 1194, 2951, 174, 1627, 1200, 159, 4657, 7224, 10557, 1214, 12662, 26503, 6745, 1194, 2524, 1250, 3555, 6745, 24367, 2607, 3555, 6745, 1194, 2951, 174, 1627, 3526, 4657, 120, 3681, 2104, 12662, 26503, 3543, 1808, 20825, 1125, 11824, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 31265, 1250, 3555, 3543, 1808, 20825, 1125, 12932, 3555, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 18898, 2607, 3555, 3543, 1808, 20825, 1125, 17220, 3555, 3543, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 1388, 2834, 15016, 6745, 1808, 20825, 1125, 2722, 15016, 6745, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 8273, 19256, 3555, 6745, 1808, 20825, 1125, 1165, 19256, 3555, 6745, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 7745, 1757, 3555, 6745, 1808, 20825, 1125, 2722, 8752, 1125, 12244, 1281, 1508, 3227, 1234, 1170, 15141, 3383, 1388, 2951, 174, 1627, 19549, 4657, 120, 3765, 1119, 12662, 26503, 6745, 1170, 1194, 2524, 1250, 3555, 6745, 1170, 8623, 159, 2607, 3555, 6745, 1170, 8623, 2834, 15016, 6745, 1170, 8623, 142, 19256, 3555, 6745, 1170, 8623, 158, 1757, 3555, 6745, 1170, 8623, 2951, 174, 1627, 23723, 4657, 120, 20853, 1314, 12662, 26503, 6745, 1170, 1194, 2524, 1250, 3555, 6745, 1170, 24367, 2607, 3555, 6745, 1170, 1194, 2834, 15016, 6745, 1170, 1194, 2951, 174, 1627, 1197, 2804, 4195, 22195, 192, 1477, 2247, 1125, 12244, 25231, 244, 1170, 8623, 2834, 8752, 1125, 12244, 9670, 18036, 1197, 1179, 8752, 1125, 12244, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 2938, 24864, 8092, 1773, 2137, 24281, 1234, 18036, 1197, 20456, 1773, 2137, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 2938, 16519, 1366, 9670, 18036, 1227, 12244, 1125, 1158, 11609, 5519, 9971, 1227, 6973, 488, 124, 132, 127, 131, 120, 124, 132, 127, 132, 1643, 12244, 3227, 1303, 1170, 6749, 28870, 5825, 9323, 1167, 5474, 12498, 6494, 5519, 9971, 1227, 6973, 1125, 7711, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 12928, 1755, 3940, 2289, 1299, 1170, 2423, 7808, 1125, 1158, 8605, 1452, 1774, 4670, 12677, 3378, 9053, 1571, 16801, 3758, 1174, 4540, 1231, 1186, 488, 125, 123, 123, 123, 22341, 1234, 11125, 2093, 20363, 7808, 1357, 1281, 23408, 1188, 6721, 1300, 3080, 1125, 11112, 1883, 1125, 28095, 1125, 8800, 4128, 2590, 244, 1167, 1125, 2143, 178, 1813, 1125, 2962, 5016, 1346, 1275, 1326, 1343, 1170, 10001, 2627, 9051, 244, 1723, 5114, 2038, 1125, 3203, 1675, 1429, 14635, 1167, 1600, 9410, 1690, 1186, 2125, 1849, 1125, 14696, 16051, 121, 11151, 7230, 3811, 2782, 19517, 5305, 5620, 8222, 1170, 14514, 3189, 2726, 1281, 11083, 2167, 1153, 1244, 1160, 3691, 1188, 1189, 1106, 1399, 184, 12640, 1768, 1251, 1110, 3458, 15223, 2399, 1110, 11051, 8001, 1561, 2492, 1125, 10844, 2038, 1125, 7804, 1256, 8753, 1106, 181, 1125, 2185, 2181, 1653, 8363, 1199, 1170, 2854, 1125, 1158, 7585, 6478, 3725, 2399, 1299, 2072, 28371, 1125, 4428, 2201, 1150, 22147, 5634, 1188, 1158, 10652, 1398, 5634, 1167, 12048, 8753, 10884, 28853, 28355, 1814, 25040, 2130, 6621, 6414, 119, 2399, 1281, 30911, 1415, 5552, 1125, 1139, 30117, 1214, 1256, 1594, 30485, 1256, 1909, 21513, 1634, 4501, 1541, 24950, 1500, 1167, 1909, 31008, 17072, 2252, 1357, 1543, 2457, 1469, 121, 3450, 1281, 3221, 3042, 1995, 2757, 6334, 2658, 2399, 1288, 4014, 1370, 1382, 31211, 5646, 1313, 1158, 4595, 1309, 1561, 2492, 1110, 5552, 1388, 15487, 1369, 30738, 26503, 7808, 20360, 1188, 1158, 3908, 2185, 2086, 11971, 3940, 2289, 1110, 7798, 3601, 1188, 11376, 1181, 19992, 7993, 3898, 1701, 18898, 2734, 1318, 13964, 8135, 11512, 1303, 1313, 1282, 4166, 1336, 1125, 27138, 1357, 24391, 1286, 1835, 7804, 1167, 2185, 2086, 1167, 1166, 2201, 1150, 22147, 5634, 1167, 28522, 5634, 8273, 176, 7808, 5931, 22107, 1188, 1158, 4501, 3556, 20730, 1173, 2087, 1487, 6047, 1140, 30362, 5796, 1128, 1349, 116, 29372, 2069, 2165, 1408, 7959, 1186, 488, 125, 123, 123, 125, 121, 2502, 1251, 11083, 2445, 1197, 1125, 176, 181, 1775, 5549, 1984, 4781, 1153, 7706, 1309, 14760, 11330, 1285, 20204, 6280, 2506, 1201, 2114, 14214, 8543, 4151, 119, 1410, 1306, 1480, 1659, 3318, 192, 1548, 4732, 2982, 3743, 1662, 4622, 1108, 1272, 1248, 180, 7658, 6767, 6388, 119, 20730, 1306, 8376, 16676, 1293, 2162, 1374, 1167, 1158, 2968, 12341, 1200, 1493, 172, 10095, 144, 1333, 1992, 121, 1814, 22107, 1299, 2072, 9365, 1571, 1248, 15829, 1753, 25715, 1167, 1186, 6564, 1188, 1964, 17913, 2038, 8353, 1284, 7507, 3656, 2442, 12973, 1197, 4501, 2624, 1125, 1158, 4927, 1113, 4876, 13900, 1125, 1158, 1622, 1197, 4092, 488, 124, 132, 130, 123, 7706, 1309, 28111, 1545, 2506, 1201, 1362, 1410, 13082, 3807, 1388, 18517, 16423, 1110, 1913, 28593, 3155, 4290, 1303, 1215, 1197, 12555, 16174, 1167, 28853, 11709, 1256, 2782, 12683, 1300, 1170, 19377, 1125, 31395, 1266, 1203, 1126, 1910, 12168, 8623, 2951, 192, 1420, 2093, 224, 2527, 3758, 1174, 4540, 4986, 2822, 488, 125, 123, 123, 123, 1424, 224, 2527, 12791, 1115, 4353, 3012, 488, 125, 123, 123, 125, 7364, 5825, 1424, 2524, 11971, 3940, 2289, 1188, 1306, 16253, 1245, 19915, 1436, 1702, 1125, 20730, 1173, 2087, 1487, 9323, 1167, 5474, 2093, 157, 3841, 2720, 23332, 1186, 488, 125, 123, 123, 123, 1750, 3841, 1281, 8866, 11953, 1188, 2801, 32001, 1424, 32000, 20036, 1628, 1755, 3940, 2289, 1239, 1135, 2423, 10704, 1449, 10704, 1267, 4670, 12677, 3378, 8226, 1449, 3758, 1174, 4540, 1231, 1147, 488, 125, 123, 123, 123, 7745, 15930, 27033, 10704, 7175, 2320, 1147, 6721, 4064, 1110, 2441, 21345, 1161, 5833, 1395, 1287, 1285, 1189, 5853, 3191, 1156, 3442, 119, 1171, 1543, 19768, 1161, 9194, 1285, 2302, 1993, 1149, 1135, 7305, 1269, 30938, 1663, 5114, 7701, 11727, 3901, 1161, 3337, 6153, 7888, 1171, 1708, 2508, 2026, 7250, 1149, 31523, 20505, 121, 3187, 2293, 24324, 1181, 1187, 15106, 5620, 8222, 1135, 2274, 5080, 119, 25604, 19662, 1110, 1106, 1399, 184, 1724, 121, 1192, 4013, 3162, 16887, 2293, 3936, 2067, 3901, 1296, 1110, 7804, 10844, 1267, 1163, 5180, 1110, 2185, 186, 20730, 121, 5535, 25954, 1135, 3018, 1161, 18055, 22752, 2293, 1959, 8522, 1156, 1446, 1386, 1213, 21248, 2113, 1406, 1163, 10652, 1398, 2113, 6357, 1171, 14969, 31755, 1163, 28853, 2323, 27039, 5182, 9618, 2064, 3703, 10957, 1311, 1762, 2293, 1144, 8373, 1806, 1139, 30117, 1146, 1226, 2067, 1382, 3378, 1226, 2067, 10709, 1111, 27866, 1355, 1302, 1907, 1171, 1135, 18371, 15869, 1842, 1302, 6312, 1324, 5081, 3676, 20469, 1201, 1411, 2293, 1602, 2023, 26243, 1147, 1135, 8741, 4595, 1226, 1957, 1907, 1388, 15487, 1626, 14860, 1940, 10704, 14874, 1163, 2185, 186, 20548, 11971, 3940, 2289, 1602, 7947, 1163, 6750, 6924, 1181, 1104, 1104, 7552, 6404, 14612, 14422, 1324, 27138, 1361, 1144, 1265, 5205, 2910, 7804, 1171, 2185, 2086, 1171, 1386, 1213, 21248, 2113, 1406, 1171, 28522, 2113, 1406, 1388, 5318, 10704, 3293, 1111, 4005, 1163, 1135, 2493, 18351, 20730, 1173, 2087, 1487, 6047, 1140, 30362, 5796, 1128, 1349, 116, 2000, 8576, 5064, 2197, 3162, 6470, 1147, 488, 125, 123, 123, 125, 121, 1988, 1959, 6547, 7195, 1641, 17967, 20730, 190, 2536, 1296, 14760, 11330, 1285, 20204, 6280, 2506, 1201, 2114, 14214, 8543, 4151, 119, 1410, 1306, 1480, 1659, 3318, 192, 1548, 4732, 2982, 3743, 1662, 4622, 1108, 1272, 1248, 180, 7658, 6767, 6388, 119, 20730, 1306, 8376, 16676, 1293, 2162, 4280, 1171, 1135, 8322, 1200, 1493, 172, 10095, 144, 1333, 1992, 121, 1198, 8057, 1393, 1959, 11417, 1163, 1135, 1248, 15829, 1753, 25715, 7426, 1789, 17913, 1267, 8353, 1284, 10290, 1285, 1296, 2632, 1296, 2493, 18200, 1446, 1135, 4950, 1113, 4876, 5529, 1161, 1135, 8322, 488, 124, 132, 130, 123, 190, 2536, 1296, 28111, 1545, 2506, 1201, 1329, 1410, 13082, 3807, 1388, 18517, 16423, 1463, 23199, 15404, 2928, 1449, 16174, 1171, 28853, 2323, 12555, 1226, 1290, 2267, 1238, 1135, 16140, 2704, 1266, 1203, 1126, 1910, 12168, 2938, 22081, 1430, 1194, 6797, 1174, 4540, 1231, 17123, 1285, 7357, 488, 125, 123, 123, 123, 16201, 14436, 17123, 1285, 6674, 488, 125, 123, 123, 125, 1194, 26722, 9354, 20230, 6937, 11971, 3940, 2289, 1163, 29060, 1314, 19915, 1562, 1570, 1336, 1161, 20730, 1173, 2087, 1487, 9323, 1171, 22874, 23159, 30206, 10704, 8226, 1147, 488, 125, 123, 123, 123, 1628, 1130, 1147, 2801, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1628, 1755, 3940, 2289, 1239, 1135, 2423, 10704, 1449, 10704, 1267, 4670, 12677, 3378, 8226, 1449, 3758, 1174, 4540, 1231, 1147, 488, 125, 123, 123, 123, 7745, 15930, 27033, 10704, 7175, 2320, 1147, 6721, 4064, 1110, 2441, 21345, 1161, 5833, 1395, 1287, 1285, 1189, 5853, 3191, 1156, 3442, 119, 1171, 1543, 19768, 1161, 9194, 1285, 2302, 1993, 1149, 1135, 7305, 1269, 30938, 1663, 5114, 7701, 11727, 3901, 1161, 3337, 6153, 7888, 1171, 1708, 2508, 2026, 7250, 1149, 31523, 20505, 121, 3187, 2293, 24324, 1181, 1187, 15106, 5620, 8222, 1135, 2274, 5080, 119, 25604, 19662, 1110, 1106, 1399, 184, 1724, 121, 1192, 4013, 3162, 16887, 2293, 3936, 2067, 3901, 1296, 1110, 7804, 10844, 1267, 1163, 5180, 1110, 2185, 186, 20730, 121, 5535, 25954, 1135, 3018, 1161, 18055, 22752, 2293, 1959, 8522, 1156, 1446, 1386, 1213, 21248, 2113, 1406, 1163, 10652, 1398, 2113, 6357, 1171, 14969, 31755, 1163, 28853, 2323, 27039, 5182, 9618, 2064, 3703, 10957, 1311, 1762, 2293, 1144, 8373, 1806, 1139, 30117, 1146, 1226, 2067, 1382, 3378, 1226, 2067, 10709, 1111, 27866, 1355, 1302, 1907, 1171, 1135, 18371, 15869, 1842, 1302, 6312, 1324, 5081, 3676, 20469, 1201, 1411, 2293, 1602, 2023, 26243, 1147, 1135, 8741, 4595, 1226, 1957, 1907, 1388, 15487, 1626, 14860, 1940, 10704, 14874, 1163, 2185, 186, 20548, 11971, 3940, 2289, 1602, 7947, 1163, 6750, 6924, 1181, 1104, 1104, 7552, 6404, 14612, 14422, 1324, 27138, 1361, 1144, 1265, 5205, 2910, 7804, 1171, 2185, 2086, 1171, 1386, 1213, 21248, 2113, 1406, 1171, 28522, 2113, 1406, 1388, 5318, 10704, 3293, 1111, 4005, 1163, 1135, 2493, 18351, 20730, 1173, 2087, 1487, 6047, 1140, 30362, 5796, 1128, 1349, 116, 2000, 8576, 5064, 2197, 3162, 6470, 1147, 488, 125, 123, 123, 125, 121, 1988, 1959, 6547, 7195, 1641, 17967, 20730, 190, 2536, 1296, 14760, 11330, 1285, 20204, 6280, 2506, 1201, 2114, 14214, 8543, 4151, 119, 1410, 1306, 1480, 1659, 3318, 192, 1548, 4732, 2982, 3743, 1662, 4622, 1108, 1272, 1248, 180, 7658, 6767, 6388, 119, 20730, 1306, 8376, 16676, 1293, 2162, 4280, 1171, 1135, 8322, 1200, 1493, 172, 10095, 144, 1333, 1992, 121, 1198, 8057, 1393, 1959, 11417, 1163, 1135, 1248, 15829, 1753, 25715, 7426, 1789, 17913, 1267, 8353, 1284, 10290, 1285, 1296, 2632, 1296, 2493, 18200, 1446, 1135, 4950, 1113, 4876, 5529, 1161, 1135, 8322, 488, 124, 132, 130, 123, 190, 2536, 1296, 28111, 1545, 2506, 1201, 1329, 1410, 13082, 3807, 1388, 18517, 16423, 1463, 23199, 15404, 2928, 1449, 16174, 1171, 28853, 2323, 12555, 1226, 1290, 2267, 1238, 1135, 16140, 2704, 1266, 1203, 1126, 1910, 12168, 2938, 22081, 1430, 1194, 6797, 1174, 4540, 1231, 17123, 1285, 7357, 488, 125, 123, 123, 123, 16201, 14436, 17123, 1285, 6674, 488, 125, 123, 123, 125, 1194, 26722, 9354, 20230, 6937, 11971, 3940, 2289, 1163, 29060, 1314, 19915, 1562, 1570, 1336, 1161, 20730, 1173, 2087, 1487, 9323, 1171, 22874, 23159, 30206, 10704, 8226, 1147, 488, 125, 123, 123, 123, 1628, 1130, 1147, 2801, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 6251, 5995, 16700, 1123, 1655, 1626, 1175, 16329, 22207, 3288, 1105, 5407, 116, 1239, 1151, 4950, 3418, 18840, 1449, 10148, 2988, 16860, 8519, 1171, 9578, 1147, 488, 124, 132, 127, 131, 7745, 31751, 1628, 1210, 22783, 197, 184, 3579, 1602, 24764, 189, 1589, 1135, 20808, 1161, 1110, 1560, 7641, 1147, 184, 2026, 1446, 1135, 24780, 4766, 2114, 14128, 2060, 5057, 6528, 13042, 1135, 2283, 1161, 1135, 1976, 488, 124, 132, 127, 130, 119, 2470, 7239, 1149, 3663, 20773, 1285, 1799, 3396, 1132, 1789, 16770, 190, 1171, 7969, 26802, 7191, 10548, 1201, 1393, 10874, 1685, 1301, 2542, 175, 134, 1296, 1226, 1135, 24705, 3813, 4847, 22783, 197, 184, 29207, 1799, 1393, 7455, 1238, 1135, 2807, 18898, 2030, 1926, 10051, 2523, 17696, 7261, 22207, 3288, 1105, 5407, 2105, 30206, 22207, 1202, 1538, 1123, 1535, 1374, 1227, 24780, 1763, 3946, 1121, 133, 10148, 2988, 16860, 8519, 1628, 9414, 3059, 133, 10148, 2988, 16860, 8519, 4030, 191, 4595, 133, 10623, 1222, 2639, 10702, 1628, 1130, 15053, 2111, 133, 15005, 1121, 1918, 12788, 1965, 21815, 1419, 4357, 1462, 1108, 1505, 1531, 6862, 133, 30541, 31821, 3099, 1720, 2187, 1755, 133, 8471, 185, 5206, 19663, 10623, 5206, 16101, 1763, 3946, 1121, 1161, 7669, 23507, 4172, 2068, 2333, 2586, 2689, 9513, 7422, 1173, 1480, 1109, 1720, 19486, 133, 10069, 6479, 25245, 1712, 4880, 1153, 1926, 11299, 1260, 24074, 19423, 24375, 1119, 1252, 1487, 119, 6927, 1518, 2988, 5383, 3409, 4571, 133, 24375, 1119, 1252, 1487, 15495, 1420, 1763, 10995, 4571, 133, 28720, 1126, 4101, 1231, 28677, 25232, 140, 1496, 1293, 9490, 120, 5522, 1783, 1146, 28677, 31105, 8136, 15619, 1161, 3425, 133, 4909, 6716, 13519, 1570, 133, 488, 124, 132, 127, 131, 3052, 1738, 7261, 6401, 133, 6938, 13164, 1128, 133, 5861, 1171, 7502, 1323, 488, 126, 128, 8680, 1323, 488, 124, 121, 126, 130, 133, 124, 1323, 1691, 186, 6700, 6765, 21158, 5286, 1260, 18843, 1112, 133, 7479, 16018, 14445, 3579, 1763, 3607, 133, 488, 131, 125, 4826, 5061, 3866, 12542, 133, 6942, 488, 124, 127, 119, 488, 124, 132, 127, 131, 25232, 140, 1496, 7871, 488, 125, 126, 119, 488, 124, 132, 127, 132, 31105, 1718, 142, 1573, 6203, 10090, 2396, 24425, 3604, 6279, 9577, 133, 12611, 2460, 17339, 1414, 196, 2278, 3478, 18139, 23507, 15243, 4847, 22783, 197, 184, 3579, 15822, 1123, 1233, 1470, 1488, 133, 10290, 2133, 1142, 1712, 4196, 1124, 1328, 31030, 133, 1198, 1172, 4279, 7069, 3952, 1182, 1518, 1378, 23507, 5799, 1132, 4279, 1750, 17485, 5535, 9710, 133, 24789, 14281, 1293, 2091, 3050, 1108, 1857, 19828, 1105, 133, 10941, 29415, 1750, 23883, 1233, 1443, 133, 23128, 1720, 5149, 17450, 7009, 133, 28839, 5826, 1284, 1350, 27781, 2056, 1292, 16026, 16694, 2769, 2673, 1107, 1566, 3724, 2941, 1379, 1105, 133, 14281, 26524, 196, 1566, 3724, 21043, 1839, 16694, 24789, 1720, 1700, 17624, 21636, 1857, 133, 8559, 1314, 11040, 2278, 3644, 10341, 174, 1567, 133, 9605, 1233, 1334, 1107, 1750, 31326, 10069, 6479, 133, 9605, 1306, 1608, 28751, 1194, 21320, 1959, 1194, 26722, 14520, 11050, 16609, 8196, 9578, 1147, 488, 124, 132, 127, 131, 1530, 16609, 26039, 8196, 1530, 16609, 14445, 3579, 8196, 3147, 16614, 2992, 16567, 3418, 1297, 32001, 1424, 32000, 20036, 1566, 1538, 1123, 1535, 1374, 1227, 24780, 1175, 1117, 1373, 5379, 1257, 3288, 1105, 5407, 116, 1299, 1189, 3418, 8403, 8922, 1215, 10148, 2988, 16860, 8519, 1167, 9665, 1300, 1207, 2609, 11139, 1186, 488, 124, 132, 127, 131, 7745, 31751, 12928, 1210, 22783, 197, 184, 3579, 1110, 3902, 1317, 2151, 21804, 3973, 2519, 2404, 197, 2100, 1125, 15672, 1153, 1125, 1158, 10548, 1227, 11681, 1217, 2086, 7809, 1234, 3672, 3171, 2879, 14361, 1158, 1622, 1125, 9911, 488, 124, 132, 127, 130, 119, 2750, 2782, 20532, 5999, 24526, 12581, 3342, 1964, 1994, 1639, 1129, 1964, 1189, 1221, 7966, 1167, 2368, 1833, 1217, 4364, 24976, 22840, 2007, 1508, 7581, 21146, 2040, 9562, 1571, 16085, 2487, 4847, 22783, 197, 184, 29207, 3342, 1508, 1256, 1170, 3013, 1186, 25031, 1366, 14023, 3352, 4403, 1424, 20638, 5379, 1257, 3288, 1105, 5407, 106, 20638, 2720, 1257, 1202, 1538, 1123, 1535, 1374, 1227, 24780, 106, 5294, 4521, 1257, 10148, 2988, 16860, 8519, 106, 2941, 1538, 5844, 1257, 10148, 2988, 16860, 8519, 106, 12890, 16051, 1257, 10623, 1222, 2639, 10702, 106, 6064, 1121, 1793, 1125, 19377, 1257, 15005, 1121, 1918, 12788, 1965, 21815, 1419, 4357, 1462, 23923, 13511, 6862, 1257, 30541, 31821, 3099, 106, 6353, 1134, 4824, 1257, 8471, 185, 5206, 19663, 10623, 5206, 16101, 106, 17608, 1125, 1158, 22663, 1257, 4172, 2068, 2333, 106, 4304, 1272, 1257, 7422, 1173, 1480, 23194, 20357, 1257, 10069, 6479, 25245, 1712, 4250, 25246, 10709, 1260, 15495, 3051, 1257, 24375, 1119, 1252, 1487, 119, 6927, 1518, 2988, 106, 7676, 7387, 1125, 4052, 1257, 24375, 1119, 1252, 1487, 15495, 1420, 106, 7676, 7387, 1125, 6847, 1257, 28720, 1126, 4101, 1231, 28677, 1175, 15784, 7540, 1496, 1293, 9490, 120, 5522, 1783, 1146, 28677, 31105, 1260, 9299, 14994, 1257, 9864, 106, 31323, 1257, 488, 124, 132, 127, 131, 106, 9313, 1277, 17482, 1257, 9400, 1424, 24178, 1257, 7272, 1167, 7207, 1703, 488, 126, 128, 8680, 1703, 488, 124, 119, 126, 130, 133, 124, 1703, 1691, 186, 6700, 6765, 21158, 5286, 1260, 8399, 1112, 1257, 1106, 3599, 119, 14445, 3579, 106, 25694, 1257, 488, 131, 125, 4826, 106, 1222, 2026, 1125, 8969, 1257, 488, 124, 127, 2921, 488, 124, 132, 127, 131, 1175, 15784, 7540, 1496, 488, 125, 126, 3141, 488, 124, 132, 127, 132, 31105, 1718, 143, 10995, 26328, 2038, 24084, 24425, 3604, 6279, 9577, 9116, 145, 1257, 26261, 1252, 1278, 21601, 1257, 12611, 2460, 17339, 1414, 196, 2278, 3478, 18139, 196, 9116, 145, 1257, 15521, 28940, 1119, 116, 1257, 15243, 4847, 22783, 197, 184, 3579, 15822, 1123, 1233, 1470, 1488, 1257, 10290, 2133, 1142, 1712, 4196, 1124, 1328, 31030, 1257, 1198, 1172, 4279, 7069, 3952, 1182, 1518, 1378, 196, 1257, 5799, 1132, 4279, 1750, 17485, 5535, 9710, 9116, 145, 1257, 19633, 1248, 1506, 1140, 116, 1257, 17081, 1374, 14281, 1293, 2091, 3050, 1108, 1857, 19828, 1105, 9116, 145, 1257, 19633, 1198, 1292, 116, 1257, 10941, 29415, 1750, 23883, 1233, 1443, 9116, 145, 1257, 10563, 14818, 1190, 116, 1257, 23128, 1720, 5149, 17450, 7009, 1257, 28839, 5826, 1284, 1350, 27781, 2056, 1292, 16026, 1107, 1257, 2769, 1120, 31628, 1566, 3724, 2941, 1379, 1105, 9116, 145, 1257, 5612, 2544, 1454, 116, 1257, 14281, 26524, 196, 1566, 3724, 21043, 1839, 1107, 1257, 17081, 1374, 1720, 1700, 17624, 21636, 1857, 1257, 8559, 1314, 11040, 2278, 3644, 10341, 174, 1567, 9116, 145, 1257, 19570, 17486, 5012, 1183, 116, 1257, 9605, 1233, 1334, 1107, 1750, 31326, 10069, 6479, 1257, 9605, 1306, 1608, 28751, 13459, 2072, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 124, 132, 127, 131, 15089, 27325, 8403, 4708, 189, 3579, 1175, 4137, 24393, 8403, 15089, 1186, 9400, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1566, 1538, 1123, 1535, 1374, 1227, 24780, 1175, 1117, 1373, 5379, 1257, 3288, 1105, 5407, 116, 1299, 1189, 3418, 8403, 8922, 1215, 10148, 2988, 16860, 8519, 1167, 9665, 1300, 1207, 2609, 11139, 1186, 488, 124, 132, 127, 131, 7745, 31751, 12928, 1210, 22783, 197, 184, 3579, 1110, 3902, 1317, 2151, 21804, 3973, 2519, 2404, 197, 2100, 1125, 15672, 1153, 1125, 1158, 10548, 1227, 11681, 1217, 2086, 7809, 1234, 3672, 3171, 2879, 14361, 1158, 1622, 1125, 9911, 488, 124, 132, 127, 130, 119, 2750, 2782, 20532, 5999, 24526, 12581, 3342, 1964, 1994, 1639, 1129, 1964, 1189, 1221, 7966, 1167, 2368, 1833, 1217, 4364, 24976, 22840, 2007, 1508, 7581, 21146, 2040, 9562, 1571, 16085, 2487, 4847, 22783, 197, 184, 29207, 3342, 1508, 1256, 1170, 3013, 1186, 25031, 1366, 14023, 3352, 4403, 1424, 20638, 5379, 1257, 3288, 1105, 5407, 106, 20638, 2720, 1257, 1202, 1538, 1123, 1535, 1374, 1227, 24780, 106, 5294, 4521, 1257, 10148, 2988, 16860, 8519, 106, 2941, 1538, 5844, 1257, 10148, 2988, 16860, 8519, 106, 12890, 16051, 1257, 10623, 1222, 2639, 10702, 106, 6064, 1121, 1793, 1125, 19377, 1257, 15005, 1121, 1918, 12788, 1965, 21815, 1419, 4357, 1462, 23923, 13511, 6862, 1257, 30541, 31821, 3099, 106, 6353, 1134, 4824, 1257, 8471, 185, 5206, 19663, 10623, 5206, 16101, 106, 17608, 1125, 1158, 22663, 1257, 4172, 2068, 2333, 106, 4304, 1272, 1257, 7422, 1173, 1480, 23194, 20357, 1257, 10069, 6479, 25245, 1712, 4250, 25246, 10709, 1260, 15495, 3051, 1257, 24375, 1119, 1252, 1487, 119, 6927, 1518, 2988, 106, 7676, 7387, 1125, 4052, 1257, 24375, 1119, 1252, 1487, 15495, 1420, 106, 7676, 7387, 1125, 6847, 1257, 28720, 1126, 4101, 1231, 28677, 1175, 15784, 7540, 1496, 1293, 9490, 120, 5522, 1783, 1146, 28677, 31105, 1260, 9299, 14994, 1257, 9864, 106, 31323, 1257, 488, 124, 132, 127, 131, 106, 9313, 1277, 17482, 1257, 9400, 1424, 24178, 1257, 7272, 1167, 7207, 1703, 488, 126, 128, 8680, 1703, 488, 124, 119, 126, 130, 133, 124, 1703, 1691, 186, 6700, 6765, 21158, 5286, 1260, 8399, 1112, 1257, 1106, 3599, 119, 14445, 3579, 106, 25694, 1257, 488, 131, 125, 4826, 106, 1222, 2026, 1125, 8969, 1257, 488, 124, 127, 2921, 488, 124, 132, 127, 131, 1175, 15784, 7540, 1496, 488, 125, 126, 3141, 488, 124, 132, 127, 132, 31105, 1718, 143, 10995, 26328, 2038, 24084, 24425, 3604, 6279, 9577, 9116, 145, 1257, 26261, 1252, 1278, 21601, 1257, 12611, 2460, 17339, 1414, 196, 2278, 3478, 18139, 196, 9116, 145, 1257, 15521, 28940, 1119, 116, 1257, 15243, 4847, 22783, 197, 184, 3579, 15822, 1123, 1233, 1470, 1488, 1257, 10290, 2133, 1142, 1712, 4196, 1124, 1328, 31030, 1257, 1198, 1172, 4279, 7069, 3952, 1182, 1518, 1378, 196, 1257, 5799, 1132, 4279, 1750, 17485, 5535, 9710, 9116, 145, 1257, 19633, 1248, 1506, 1140, 116, 1257, 17081, 1374, 14281, 1293, 2091, 3050, 1108, 1857, 19828, 1105, 9116, 145, 1257, 19633, 1198, 1292, 116, 1257, 10941, 29415, 1750, 23883, 1233, 1443, 9116, 145, 1257, 10563, 14818, 1190, 116, 1257, 23128, 1720, 5149, 17450, 7009, 1257, 28839, 5826, 1284, 1350, 27781, 2056, 1292, 16026, 1107, 1257, 2769, 1120, 31628, 1566, 3724, 2941, 1379, 1105, 9116, 145, 1257, 5612, 2544, 1454, 116, 1257, 14281, 26524, 196, 1566, 3724, 21043, 1839, 1107, 1257, 17081, 1374, 1720, 1700, 17624, 21636, 1857, 1257, 8559, 1314, 11040, 2278, 3644, 10341, 174, 1567, 9116, 145, 1257, 19570, 17486, 5012, 1183, 116, 1257, 9605, 1233, 1334, 1107, 1750, 31326, 10069, 6479, 1257, 9605, 1306, 1608, 28751, 13459, 2072, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 124, 132, 127, 131, 15089, 27325, 8403, 4708, 189, 3579, 1175, 4137, 24393, 8403, 15089, 1186, 9400, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 1424, 155, 3724, 28708, 1435, 17469, 1105, 6256, 2589, 7262, 488, 124, 128, 119, 488, 124, 132, 128, 128, 1147, 6592, 1649, 2114, 9485, 116, 1239, 1151, 6938, 7444, 1213, 1171, 2493, 2189, 6871, 2133, 1239, 3284, 5388, 1226, 3026, 1135, 10844, 1267, 1161, 1135, 1113, 4876, 7804, 6806, 1410, 2324, 2215, 7947, 1449, 14281, 6429, 31576, 1388, 3780, 1239, 16327, 2580, 1324, 1704, 1161, 1135, 2957, 1361, 2481, 2226, 19293, 6537, 3009, 1410, 1293, 8028, 1161, 6592, 1649, 2114, 1758, 14595, 1238, 1135, 6030, 9485, 10954, 1149, 9663, 180, 11114, 1194, 3780, 18647, 1806, 1147, 1135, 1321, 5224, 16925, 1994, 4527, 1161, 6592, 1649, 1105, 1147, 10553, 24349, 5174, 8255, 1758, 1239, 2468, 1765, 3386, 9170, 1226, 1978, 178, 4735, 6227, 1446, 1388, 18593, 4468, 2565, 1149, 1238, 1110, 4501, 3660, 1659, 1386, 22539, 1151, 5814, 3875, 1147, 5896, 3847, 2192, 1239, 2269, 1386, 2367, 1204, 2057, 11658, 1346, 13184, 1386, 14010, 1355, 9485, 16814, 1388, 3780, 1463, 1135, 2155, 6644, 1161, 1410, 2324, 2215, 119, 4957, 1324, 14281, 6429, 25322, 1659, 1163, 5841, 4945, 1135, 9144, 2203, 1161, 1135, 6806, 1147, 488, 124, 132, 131, 128, 121, 6226, 7414, 1386, 9553, 1163, 1765, 1940, 1931, 4986, 10154, 2241, 2133, 2764, 8794, 1135, 5089, 1226, 1198, 1580, 1108, 6486, 20662, 488, 131, 131, 119, 1135, 4823, 6030, 1161, 8865, 25838, 30382, 1286, 4698, 2057, 17746, 114, 6806, 4023, 15522, 4100, 2470, 5057, 3162, 1161, 10709, 1147, 3846, 6357, 1386, 8071, 1163, 1830, 1110, 1624, 6806, 119, 21549, 4436, 488, 126, 2036, 5784, 1410, 6806, 2155, 9578, 1704, 26676, 1147, 488, 124, 132, 132, 124, 6649, 1135, 4934, 23394, 1386, 1959, 3512, 1589, 1147, 9399, 1222, 3340, 19066, 6030, 17639, 1147, 1135, 17610, 1841, 6649, 488, 125, 123, 123, 129, 119, 1386, 14010, 14163, 1105, 24732, 2162, 119, 10321, 1161, 2893, 1136, 1171, 1293, 1121, 1292, 1992, 119, 1226, 1135, 3580, 1410, 10289, 119, 1135, 14729, 1171, 1135, 18637, 1388, 3780, 1959, 3512, 1589, 1147, 1135, 6537, 2358, 6338, 15315, 1446, 1135, 15468, 2052, 2128, 6030, 1449, 1293, 1121, 1292, 1992, 9578, 1147, 488, 125, 123, 124, 123, 121, 2133, 7645, 1589, 2903, 1324, 1135, 9324, 6806, 1238, 1110, 5741, 1446, 1410, 1252, 14111, 1151, 6030, 15926, 1238, 3543, 1238, 14163, 1105, 24732, 2162, 1361, 28174, 9994, 30532, 10954, 1149, 1194, 5395, 1410, 1202, 1390, 18108, 1147, 2482, 15671, 5612, 17469, 1105, 30505, 1765, 10844, 1147, 1110, 9531, 1243, 1161, 18862, 2305, 14602, 1214, 11040, 119, 2000, 1463, 2441, 1243, 3301, 5868, 1110, 7669, 1161, 1135, 16935, 1278, 6043, 5814, 2401, 1463, 2491, 2629, 1238, 1135, 5089, 1161, 1135, 6030, 9485, 10954, 2064, 14702, 1704, 1161, 1135, 2481, 13782, 7804, 7669, 1285, 11294, 17469, 1105, 1463, 4064, 3068, 1302, 2791, 2181, 14865, 1163, 13812, 1341, 1463, 1135, 2155, 1907, 1386, 15839, 1641, 2644, 21789, 1765, 11314, 1238, 7889, 6043, 19375, 10844, 17913, 1239, 19864, 1355, 1135, 10313, 1171, 23123, 9271, 1161, 1252, 1344, 1147, 1165, 8990, 1265, 121, 32001, 1424, 32000, 20036, 1566, 3724, 28708, 1435, 17469, 1105, 24051, 1170, 488, 124, 128, 2584, 488, 124, 132, 128, 128, 1188, 6592, 1649, 2114, 20024, 116, 1299, 1189, 18866, 1167, 4501, 1354, 9400, 121, 1768, 1299, 1408, 9918, 1856, 4716, 1913, 1170, 10844, 2038, 1227, 3274, 1125, 1113, 4876, 7804, 1410, 2324, 2215, 29756, 1215, 14281, 6429, 31576, 1388, 3466, 2435, 3233, 14765, 1197, 23070, 1207, 1408, 28057, 2234, 1227, 3274, 1257, 1410, 1293, 8028, 1161, 6592, 1649, 2114, 3851, 1277, 1300, 26903, 9485, 10954, 1149, 14231, 28769, 1110, 2511, 180, 1313, 1158, 5962, 10691, 1277, 4344, 5363, 174, 2100, 1125, 6592, 1649, 1105, 1317, 7758, 1125, 20024, 30971, 19394, 1496, 1304, 12736, 1561, 3828, 9170, 1256, 1170, 1978, 178, 4735, 7552, 7662, 1125, 1281, 14675, 1313, 1158, 29158, 1527, 1110, 7508, 1318, 17030, 23290, 1125, 5896, 14279, 6053, 2442, 3365, 6666, 1204, 2057, 17746, 3365, 16773, 3523, 9485, 16814, 12258, 2985, 1170, 4374, 6711, 1197, 2324, 2215, 1469, 14281, 6429, 31576, 1188, 9931, 7328, 1158, 9144, 2203, 1227, 3274, 1186, 488, 124, 132, 131, 128, 121, 6982, 3547, 1527, 5464, 1245, 1188, 1561, 3453, 1931, 4986, 1158, 6843, 7471, 2616, 1198, 1580, 1108, 6486, 20662, 131, 131, 119, 1170, 8483, 6030, 1125, 8865, 25838, 30382, 1286, 14011, 2740, 1125, 1204, 2057, 17746, 1496, 1527, 18532, 22580, 1158, 18766, 5904, 12258, 12459, 11904, 2750, 3171, 4092, 4473, 6719, 24885, 1125, 6459, 1189, 3631, 24223, 21549, 4436, 488, 126, 2036, 184, 1240, 1548, 3274, 1288, 3594, 2052, 11103, 10440, 4374, 26676, 1186, 488, 124, 132, 132, 124, 8370, 1373, 23478, 1527, 3618, 2445, 20888, 1188, 26903, 1125, 9399, 1222, 3340, 1119, 17639, 1147, 1135, 17610, 1841, 12258, 16773, 1186, 488, 125, 123, 123, 129, 14163, 1105, 24732, 2162, 119, 10321, 1125, 2893, 1136, 1167, 1293, 1121, 1292, 1992, 119, 1256, 1170, 2929, 1410, 10289, 119, 1135, 14729, 1171, 1135, 18637, 12258, 13300, 2445, 1188, 1158, 15038, 2358, 6338, 15315, 1125, 26903, 1253, 1614, 20028, 1125, 1293, 1121, 1292, 1992, 9665, 1186, 488, 125, 123, 124, 123, 121, 1768, 5115, 1345, 1188, 3631, 1469, 1170, 3274, 14898, 1300, 1189, 3694, 1125, 1410, 1252, 14111, 1189, 6030, 14577, 1186, 23931, 1300, 1282, 180, 19656, 1125, 14163, 1105, 24732, 2162, 9994, 30532, 10954, 1149, 15624, 488, 1355, 1410, 1202, 1390, 18108, 1188, 2482, 15671, 5612, 17469, 1105, 30633, 1561, 16565, 1313, 1189, 3572, 1467, 1304, 7310, 4654, 7968, 1849, 1313, 1207, 16682, 1470, 1346, 14602, 1214, 11040, 5909, 1318, 22663, 1227, 31110, 18726, 13221, 1299, 3042, 13409, 1300, 1158, 18766, 5904, 1125, 26903, 9485, 10954, 2064, 15695, 1199, 6113, 1197, 14270, 5952, 1207, 1408, 31797, 1227, 7804, 119, 1906, 1309, 17469, 1105, 1131, 2505, 2714, 1170, 1844, 25314, 1816, 2791, 2181, 6053, 119, 21469, 1909, 12463, 1346, 1158, 5860, 2768, 3365, 10485, 172, 1594, 11314, 6840, 10865, 1300, 8077, 10803, 28480, 16565, 1131, 2451, 1322, 1303, 1299, 22580, 6581, 1303, 1317, 10313, 1171, 23123, 9271, 1161, 1252, 1344, 1125, 1165, 8990, 1265, 11488, 1167, 16828, 5825, 2093, 1410, 10289, 119, 1135, 14729, 1171, 1135, 18637, 1300, 7102, 3136, 9663, 1322, 2038, 9400, 1125, 7804, 8156, 1186, 2584, 488, 124, 132, 128, 128, 8156, 1188, 22730, 1876, 1175, 6042, 2582, 1115, 30532, 1354, 1260, 8857, 1829, 1197, 2324, 2215, 2056, 1322, 2038, 1125, 1113, 4876, 7804, 13002, 1343, 1112, 9400, 1227, 12136, 25525, 6298, 13002, 1343, 1112, 9400, 1227, 23841, 6298, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1566, 3724, 28708, 1435, 17469, 1105, 24051, 1170, 488, 124, 128, 2584, 488, 124, 132, 128, 128, 1188, 6592, 1649, 2114, 20024, 116, 1299, 1189, 18866, 1167, 4501, 1354, 9400, 121, 1768, 1299, 1408, 9918, 1856, 4716, 1913, 1170, 10844, 2038, 1227, 3274, 1125, 1113, 4876, 7804, 1410, 2324, 2215, 29756, 1215, 14281, 6429, 31576, 1388, 3466, 2435, 3233, 14765, 1197, 23070, 1207, 1408, 28057, 2234, 1227, 3274, 1257, 1410, 1293, 8028, 1161, 6592, 1649, 2114, 3851, 1277, 1300, 26903, 9485, 10954, 1149, 14231, 28769, 1110, 2511, 180, 1313, 1158, 5962, 10691, 1277, 4344, 5363, 174, 2100, 1125, 6592, 1649, 1105, 1317, 7758, 1125, 20024, 30971, 19394, 1496, 1304, 12736, 1561, 3828, 9170, 1256, 1170, 1978, 178, 4735, 7552, 7662, 1125, 1281, 14675, 1313, 1158, 29158, 1527, 1110, 7508, 1318, 17030, 23290, 1125, 5896, 14279, 6053, 2442, 3365, 6666, 1204, 2057, 17746, 3365, 16773, 3523, 9485, 16814, 12258, 2985, 1170, 4374, 6711, 1197, 2324, 2215, 1469, 14281, 6429, 31576, 1188, 9931, 7328, 1158, 9144, 2203, 1227, 3274, 1186, 488, 124, 132, 131, 128, 121, 6982, 3547, 1527, 5464, 1245, 1188, 1561, 3453, 1931, 4986, 1158, 6843, 7471, 2616, 1198, 1580, 1108, 6486, 20662, 131, 131, 119, 1170, 8483, 6030, 1125, 8865, 25838, 30382, 1286, 14011, 2740, 1125, 1204, 2057, 17746, 1496, 1527, 18532, 22580, 1158, 18766, 5904, 12258, 12459, 11904, 2750, 3171, 4092, 4473, 6719, 24885, 1125, 6459, 1189, 3631, 24223, 21549, 4436, 488, 126, 2036, 184, 1240, 1548, 3274, 1288, 3594, 2052, 11103, 10440, 4374, 26676, 1186, 488, 124, 132, 132, 124, 8370, 1373, 23478, 1527, 3618, 2445, 20888, 1188, 26903, 1125, 9399, 1222, 3340, 1119, 17639, 1147, 1135, 17610, 1841, 12258, 16773, 1186, 488, 125, 123, 123, 129, 14163, 1105, 24732, 2162, 119, 10321, 1125, 2893, 1136, 1167, 1293, 1121, 1292, 1992, 119, 1256, 1170, 2929, 1410, 10289, 119, 1135, 14729, 1171, 1135, 18637, 12258, 13300, 2445, 1188, 1158, 15038, 2358, 6338, 15315, 1125, 26903, 1253, 1614, 20028, 1125, 1293, 1121, 1292, 1992, 9665, 1186, 488, 125, 123, 124, 123, 121, 1768, 5115, 1345, 1188, 3631, 1469, 1170, 3274, 14898, 1300, 1189, 3694, 1125, 1410, 1252, 14111, 1189, 6030, 14577, 1186, 23931, 1300, 1282, 180, 19656, 1125, 14163, 1105, 24732, 2162, 9994, 30532, 10954, 1149, 15624, 488, 1355, 1410, 1202, 1390, 18108, 1188, 2482, 15671, 5612, 17469, 1105, 30633, 1561, 16565, 1313, 1189, 3572, 1467, 1304, 7310, 4654, 7968, 1849, 1313, 1207, 16682, 1470, 1346, 14602, 1214, 11040, 5909, 1318, 22663, 1227, 31110, 18726, 13221, 1299, 3042, 13409, 1300, 1158, 18766, 5904, 1125, 26903, 9485, 10954, 2064, 15695, 1199, 6113, 1197, 14270, 5952, 1207, 1408, 31797, 1227, 7804, 119, 1906, 1309, 17469, 1105, 1131, 2505, 2714, 1170, 1844, 25314, 1816, 2791, 2181, 6053, 119, 21469, 1909, 12463, 1346, 1158, 5860, 2768, 3365, 10485, 172, 1594, 11314, 6840, 10865, 1300, 8077, 10803, 28480, 16565, 1131, 2451, 1322, 1303, 1299, 22580, 6581, 1303, 1317, 10313, 1171, 23123, 9271, 1161, 1252, 1344, 1125, 1165, 8990, 1265, 11488, 1167, 16828, 5825, 2093, 1410, 10289, 119, 1135, 14729, 1171, 1135, 18637, 1300, 7102, 3136, 9663, 1322, 2038, 9400, 1125, 7804, 8156, 1186, 2584, 488, 124, 132, 128, 128, 8156, 1188, 22730, 1876, 1175, 6042, 2582, 1115, 30532, 1354, 1260, 8857, 1829, 1197, 2324, 2215, 2056, 1322, 2038, 1125, 1113, 4876, 7804, 13002, 1343, 1112, 9400, 1227, 12136, 25525, 6298, 13002, 1343, 1112, 9400, 1227, 23841, 6298, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 22066, 1603, 10194, 3281, 7480, 1319, 7240, 1299, 1318, 28896, 22187, 10019, 1188, 2358, 10408, 12387, 5264, 189, 11968, 1346, 1186, 12350, 3450, 1299, 23185, 1188, 13811, 12811, 7240, 119, 1189, 13811, 1906, 9918, 1313, 1816, 3247, 1227, 1198, 11336, 4834, 1167, 23951, 1594, 12191, 24120, 1334, 109, 9994, 22295, 6725, 1603, 10194, 1299, 10019, 1313, 1170, 5927, 2720, 1197, 1165, 22970, 19666, 2233, 184, 4834, 1300, 1158, 4813, 1125, 2358, 10408, 12387, 5264, 189, 8953, 10177, 15376, 2359, 488, 488, 124, 127, 2921, 488, 124, 130, 130, 126, 1508, 29472, 1313, 1816, 28896, 1207, 8691, 1485, 28617, 1473, 1125, 13811, 12811, 7240, 121, 2576, 11756, 244, 1198, 1312, 193, 1541, 21045, 1207, 2782, 5428, 1473, 2290, 1318, 8791, 5331, 10019, 1188, 3203, 15338, 1125, 12991, 4819, 1170, 16360, 1334, 6058, 10193, 1186, 7751, 1125, 6344, 3403, 2487, 3171, 4037, 1395, 1234, 5787, 2635, 2487, 13314, 1266, 1242, 1150, 5242, 3042, 4141, 244, 1125, 2358, 1182, 2982, 1167, 27539, 4059, 3045, 1856, 9228, 1204, 6533, 12781, 3042, 16487, 1125, 2358, 1182, 2982, 1167, 5610, 121, 1548, 16590, 27977, 8941, 1125, 1158, 12381, 1253, 7948, 1450, 1207, 1275, 2266, 1120, 1304, 19264, 1525, 5428, 1234, 1257, 1606, 3559, 1455, 1342, 1146, 1890, 2143, 6196, 3171, 6505, 243, 3576, 4083, 1116, 1444, 1926, 1104, 1309, 1106, 1500, 12043, 1189, 10038, 1227, 4972, 10521, 5650, 2069, 1227, 4972, 1183, 1124, 29004, 1318, 1747, 1132, 1678, 1125, 1158, 28551, 3171, 13570, 1525, 1125, 4480, 3212, 1318, 15712, 1227, 15985, 2988, 9468, 1318, 15712, 1125, 1282, 1180, 3131, 1461, 2531, 119, 1189, 20903, 1125, 6425, 1125, 1111, 1456, 1575, 18725, 4821, 4466, 10038, 1206, 1525, 15935, 4781, 1153, 1256, 1823, 1207, 8691, 1485, 1125, 13811, 12811, 7240, 18726, 1740, 28567, 1299, 14399, 1317, 3694, 1197, 19574, 17104, 1186, 488, 124, 132, 123, 131, 29227, 5526, 175, 19546, 1300, 22058, 5949, 2519, 26807, 1227, 488, 11402, 3463, 176, 19565, 1980, 1128, 1883, 1148, 1282, 10295, 1227, 5873, 1512, 119, 1282, 1740, 28567, 1110, 26342, 1197, 1169, 28040, 1525, 7328, 1158, 22925, 12507, 10999, 8155, 5873, 1512, 1299, 1329, 6968, 1197, 22542, 6900, 255, 2931, 8824, 1234, 1125, 3219, 5719, 1469, 1207, 20847, 1125, 1964, 1557, 1433, 1112, 1362, 1125, 1964, 5601, 119, 1167, 1125, 13811, 26261, 1317, 5775, 2114, 1313, 1318, 1139, 3352, 4202, 3828, 1256, 13419, 14766, 1186, 1498, 1201, 2694, 1148, 1227, 21359, 1836, 29789, 1222, 10483, 1388, 207, 2576, 1603, 10194, 1125, 2358, 10408, 18725, 1110, 1913, 1169, 1712, 7329, 1167, 27426, 1214, 1188, 11376, 3391, 186, 6565, 1125, 9083, 7230, 1299, 9318, 1408, 3564, 1309, 9186, 1167, 2803, 1186, 1667, 7762, 1288, 177, 1297, 1548, 1455, 186, 2021, 4665, 2183, 1207, 23939, 1227, 488, 11402, 31549, 19565, 1167, 1300, 3171, 1125, 1909, 11110, 6712, 1238, 31674, 1197, 11940, 1125, 11257, 2021, 18468, 1548, 5873, 1512, 7515, 180, 1299, 2205, 13397, 119, 1167, 3233, 1823, 1125, 1158, 1622, 1125, 1158, 4927, 31617, 1289, 5907, 1548, 16360, 1334, 1227, 3281, 31924, 2472, 12811, 7240, 168, 1299, 1318, 6885, 1227, 488, 2271, 4996, 176, 1362, 1227, 11402, 31549, 19565, 1167, 1110, 1227, 18051, 1189, 3419, 16360, 1334, 8325, 19546, 2391, 1125, 1158, 22378, 1125, 1909, 8691, 1485, 1186, 488, 132, 132, 127, 1524, 30039, 20544, 5888, 8968, 12253, 1197, 19574, 17104, 1197, 1165, 22970, 19666, 2233, 19727, 4497, 14050, 1260, 12253, 1197, 2231, 183, 2410, 1197, 1165, 22970, 19666, 2233, 19727, 7364, 5825, 9323, 1167, 5474, 1194, 16976, 2070, 10777, 1188, 2358, 10408, 12387, 5264, 189, 8953, 11301, 2070, 10777, 14399, 1186, 488, 124, 132, 123, 131, 32001, 1424, 32000, 20036, 27659, 7480, 1319, 7240, 10277, 1239, 1110, 17724, 11849, 8452, 1147, 2358, 10408, 12387, 5264, 189, 11968, 1346, 12350, 1988, 1239, 14874, 1163, 3281, 12811, 7240, 119, 1110, 14775, 8514, 13811, 1147, 1413, 1910, 1161, 1198, 11336, 4834, 1171, 21642, 1765, 12191, 3622, 109, 9994, 4514, 3616, 11849, 1239, 8452, 1147, 1135, 9197, 15867, 1161, 1165, 22970, 19666, 2233, 184, 4834, 1147, 1135, 8046, 1161, 2358, 10408, 12387, 5264, 189, 8953, 10177, 7055, 10376, 6942, 488, 124, 127, 119, 488, 124, 130, 130, 126, 119, 1135, 16638, 1169, 1380, 190, 1161, 3281, 12811, 7240, 2025, 17447, 1147, 1413, 11849, 121, 1410, 1522, 27207, 1198, 1312, 193, 1541, 1685, 8032, 13043, 2182, 2670, 1110, 13829, 17172, 8452, 1355, 3337, 13654, 7924, 119, 1324, 1135, 12520, 3026, 13032, 1147, 1135, 13927, 1161, 2717, 2337, 3813, 5057, 4037, 9203, 5787, 3750, 2141, 13314, 1266, 1242, 1150, 5242, 2491, 1135, 1674, 1182, 1161, 2358, 1182, 2982, 1171, 4059, 1146, 5822, 2695, 2141, 9228, 1204, 6533, 12781, 2491, 2277, 1121, 1161, 2358, 1182, 2982, 1171, 21574, 1410, 3744, 1161, 1135, 26179, 23027, 1135, 1125, 2266, 1120, 1161, 3040, 1104, 3218, 133, 8162, 2626, 1455, 1342, 1146, 3476, 5057, 1116, 1444, 1926, 1171, 1106, 1500, 1132, 23140, 11421, 1965, 1110, 2367, 1128, 2289, 1132, 1138, 7664, 2197, 2367, 1183, 7188, 1132, 3040, 1346, 1110, 1747, 1132, 1119, 195, 1161, 1135, 15745, 5057, 2811, 173, 20903, 1285, 1110, 15712, 1161, 1135, 15985, 2988, 9468, 1110, 15712, 1161, 1135, 3131, 1461, 2531, 1138, 7664, 1110, 20903, 1161, 1135, 1111, 1456, 1575, 3228, 18725, 4095, 5375, 3040, 1104, 2025, 17967, 1296, 1135, 1169, 1380, 190, 1161, 3281, 12811, 7240, 6043, 6540, 1463, 1936, 4474, 1296, 1110, 15620, 18253, 1147, 488, 124, 132, 123, 131, 29227, 2056, 4019, 191, 1238, 1135, 1865, 1161, 1110, 488, 124, 130, 1276, 25128, 4532, 8371, 3561, 1296, 3516, 1176, 14400, 1449, 1135, 15224, 1238, 1135, 5873, 16080, 1135, 6540, 2670, 194, 1129, 13643, 1806, 1163, 5055, 6832, 4988, 6043, 5873, 1210, 1239, 1464, 2589, 1156, 1324, 1135, 6402, 30507, 1110, 5838, 1328, 1115, 4454, 1806, 1238, 2483, 5054, 1324, 1135, 19671, 1161, 1789, 1557, 1433, 189, 5336, 1329, 5601, 119, 1171, 3281, 26261, 1238, 1135, 1113, 3979, 2121, 1147, 1110, 1139, 3352, 4397, 3564, 1226, 13812, 6888, 1147, 1498, 1201, 2694, 1148, 1449, 1135, 12770, 1595, 1121, 29789, 1222, 10483, 12897, 1598, 11849, 1161, 2358, 10408, 18725, 1602, 2023, 2674, 1651, 1589, 1171, 24967, 1355, 6750, 20284, 1540, 1302, 1341, 1239, 2692, 29843, 2095, 2102, 1171, 1602, 1110, 3983, 1161, 5992, 3202, 1457, 1410, 1138, 1488, 1163, 4120, 1280, 2289, 1543, 1135, 25437, 1161, 1135, 488, 124, 131, 1276, 31046, 1171, 1238, 5057, 1161, 2019, 1290, 25715, 1704, 1526, 2795, 24247, 1161, 1290, 1105, 1320, 3067, 1297, 1410, 10553, 5873, 1210, 1239, 2763, 7442, 119, 1171, 3210, 1280, 1446, 1135, 2283, 1161, 1135, 1293, 1752, 1146, 5529, 121, 1410, 12520, 1161, 1135, 3281, 22424, 2472, 12811, 7240, 168, 1239, 1110, 1870, 1446, 1135, 488, 124, 127, 1276, 1329, 488, 124, 131, 1276, 31046, 1171, 3210, 1537, 17155, 4129, 12520, 7406, 2043, 1765, 1169, 1380, 190, 2025, 9104, 1589, 1147, 488, 132, 132, 127, 109, 1388, 21320, 1959, 1194, 12225, 1589, 3760, 1489, 1267, 1161, 15620, 19574, 1147, 1165, 22970, 19666, 2233, 19727, 4497, 14050, 1260, 2474, 1161, 1270, 1136, 2942, 1147, 1165, 22970, 19666, 2233, 19727, 1194, 26722, 14520, 9323, 1171, 22874, 22195, 7569, 1926, 3335, 2070, 1147, 2358, 10408, 12387, 5264, 189, 8953, 3050, 7569, 1926, 3335, 2070, 1936, 4474, 1147, 488, 124, 132, 123, 131, 109, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 27659, 7480, 1319, 7240, 10277, 1239, 1110, 17724, 11849, 8452, 1147, 2358, 10408, 12387, 5264, 189, 11968, 1346, 12350, 1988, 1239, 14874, 1163, 3281, 12811, 7240, 119, 1110, 14775, 8514, 13811, 1147, 1413, 1910, 1161, 1198, 11336, 4834, 1171, 21642, 1765, 12191, 3622, 109, 9994, 4514, 3616, 11849, 1239, 8452, 1147, 1135, 9197, 15867, 1161, 1165, 22970, 19666, 2233, 184, 4834, 1147, 1135, 8046, 1161, 2358, 10408, 12387, 5264, 189, 8953, 10177, 7055, 10376, 6942, 488, 124, 127, 119, 488, 124, 130, 130, 126, 119, 1135, 16638, 1169, 1380, 190, 1161, 3281, 12811, 7240, 2025, 17447, 1147, 1413, 11849, 121, 1410, 1522, 27207, 1198, 1312, 193, 1541, 1685, 8032, 13043, 2182, 2670, 1110, 13829, 17172, 8452, 1355, 3337, 13654, 7924, 119, 1324, 1135, 12520, 3026, 13032, 1147, 1135, 13927, 1161, 2717, 2337, 3813, 5057, 4037, 9203, 5787, 3750, 2141, 13314, 1266, 1242, 1150, 5242, 2491, 1135, 1674, 1182, 1161, 2358, 1182, 2982, 1171, 4059, 1146, 5822, 2695, 2141, 9228, 1204, 6533, 12781, 2491, 2277, 1121, 1161, 2358, 1182, 2982, 1171, 21574, 1410, 3744, 1161, 1135, 26179, 23027, 1135, 1125, 2266, 1120, 1161, 3040, 1104, 3218, 133, 8162, 2626, 1455, 1342, 1146, 3476, 5057, 1116, 1444, 1926, 1171, 1106, 1500, 1132, 23140, 11421, 1965, 1110, 2367, 1128, 2289, 1132, 1138, 7664, 2197, 2367, 1183, 7188, 1132, 3040, 1346, 1110, 1747, 1132, 1119, 195, 1161, 1135, 15745, 5057, 2811, 173, 20903, 1285, 1110, 15712, 1161, 1135, 15985, 2988, 9468, 1110, 15712, 1161, 1135, 3131, 1461, 2531, 1138, 7664, 1110, 20903, 1161, 1135, 1111, 1456, 1575, 3228, 18725, 4095, 5375, 3040, 1104, 2025, 17967, 1296, 1135, 1169, 1380, 190, 1161, 3281, 12811, 7240, 6043, 6540, 1463, 1936, 4474, 1296, 1110, 15620, 18253, 1147, 488, 124, 132, 123, 131, 29227, 2056, 4019, 191, 1238, 1135, 1865, 1161, 1110, 488, 124, 130, 1276, 25128, 4532, 8371, 3561, 1296, 3516, 1176, 14400, 1449, 1135, 15224, 1238, 1135, 5873, 16080, 1135, 6540, 2670, 194, 1129, 13643, 1806, 1163, 5055, 6832, 4988, 6043, 5873, 1210, 1239, 1464, 2589, 1156, 1324, 1135, 6402, 30507, 1110, 5838, 1328, 1115, 4454, 1806, 1238, 2483, 5054, 1324, 1135, 19671, 1161, 1789, 1557, 1433, 189, 5336, 1329, 5601, 119, 1171, 3281, 26261, 1238, 1135, 1113, 3979, 2121, 1147, 1110, 1139, 3352, 4397, 3564, 1226, 13812, 6888, 1147, 1498, 1201, 2694, 1148, 1449, 1135, 12770, 1595, 1121, 29789, 1222, 10483, 12897, 1598, 11849, 1161, 2358, 10408, 18725, 1602, 2023, 2674, 1651, 1589, 1171, 24967, 1355, 6750, 20284, 1540, 1302, 1341, 1239, 2692, 29843, 2095, 2102, 1171, 1602, 1110, 3983, 1161, 5992, 3202, 1457, 1410, 1138, 1488, 1163, 4120, 1280, 2289, 1543, 1135, 25437, 1161, 1135, 488, 124, 131, 1276, 31046, 1171, 1238, 5057, 1161, 2019, 1290, 25715, 1704, 1526, 2795, 24247, 1161, 1290, 1105, 1320, 3067, 1297, 1410, 10553, 5873, 1210, 1239, 2763, 7442, 119, 1171, 3210, 1280, 1446, 1135, 2283, 1161, 1135, 1293, 1752, 1146, 5529, 121, 1410, 12520, 1161, 1135, 3281, 22424, 2472, 12811, 7240, 168, 1239, 1110, 1870, 1446, 1135, 488, 124, 127, 1276, 1329, 488, 124, 131, 1276, 31046, 1171, 3210, 1537, 17155, 4129, 12520, 7406, 2043, 1765, 1169, 1380, 190, 2025, 9104, 1589, 1147, 488, 132, 132, 127, 109, 1388, 21320, 1959, 1194, 12225, 1589, 3760, 1489, 1267, 1161, 15620, 19574, 1147, 1165, 22970, 19666, 2233, 19727, 4497, 14050, 1260, 2474, 1161, 1270, 1136, 2942, 1147, 1165, 22970, 19666, 2233, 19727, 1194, 26722, 14520, 9323, 1171, 22874, 22195, 7569, 1926, 3335, 2070, 1147, 2358, 10408, 12387, 5264, 189, 8953, 3050, 7569, 1926, 3335, 2070, 1936, 4474, 1147, 488, 124, 132, 123, 131, 109, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 19814, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 22745, 26434, 15369, 1711, 3310, 1147, 1135, 3573, 1161, 8872, 4377, 1239, 1151, 9899, 2000, 1239, 8369, 12679, 1171, 5786, 1620, 4704, 1147, 5802, 121, 2192, 2730, 1239, 9113, 26283, 1355, 10771, 1149, 18754, 1124, 1474, 20859, 14365, 3471, 9880, 120, 4870, 1231, 1272, 4023, 9688, 3229, 21714, 1239, 9113, 11219, 1449, 1135, 14137, 1162, 1161, 4882, 2910, 1135, 26434, 15369, 9899, 1171, 1789, 9694, 2071, 1171, 1449, 1135, 26434, 15369, 9899, 1440, 6029, 1543, 23358, 1329, 8863, 23524, 10669, 7745, 1126, 15369, 9783, 9824, 1110, 9518, 11500, 1226, 10771, 120, 4870, 1231, 1272, 2882, 1296, 1799, 1393, 5849, 1163, 15698, 2488, 12700, 1161, 1789, 2625, 9489, 1758, 1560, 1375, 23510, 179, 2182, 1446, 1151, 26073, 5429, 8732, 1178, 4145, 1151, 9899, 2127, 1151, 1147, 5802, 2730, 1239, 4939, 1163, 20939, 1135, 5089, 1161, 1151, 9899, 2000, 1239, 3529, 1142, 1216, 2267, 1329, 1163, 20939, 1135, 6515, 1161, 1151, 9899, 2000, 1602, 4656, 3529, 1142, 1216, 1589, 5404, 1163, 1135, 13555, 1419, 1161, 11850, 22071, 1388, 6535, 23562, 26434, 15369, 9783, 1393, 19544, 1156, 2979, 3529, 1142, 29339, 1171, 1393, 4669, 1269, 20259, 1449, 1789, 9921, 1147, 6750, 1393, 4277, 3813, 6401, 8511, 1161, 1135, 3529, 1142, 1216, 1589, 20416, 3842, 1393, 3936, 17937, 1199, 1226, 6528, 1329, 3162, 2979, 3026, 1235, 2554, 1569, 10281, 109, 1449, 4129, 9899, 5096, 3921, 1329, 2488, 1110, 23216, 1182, 2615, 3522, 7685, 2579, 22836, 1135, 3529, 1142, 29339, 1602, 2023, 10115, 9753, 119, 1135, 9899, 1602, 20277, 11910, 1329, 11326, 10115, 10908, 1226, 1135, 4185, 1302, 23489, 8148, 3842, 2277, 1537, 1959, 14128, 10129, 12524, 1462, 1329, 8964, 17805, 1226, 2017, 5641, 1161, 1789, 9694, 2071, 18947, 12868, 5091, 1285, 1329, 14128, 1110, 25759, 9025, 1388, 5318, 26434, 15369, 9899, 1526, 1280, 1235, 2554, 1569, 10281, 109, 1355, 1938, 6605, 16844, 1238, 1135, 21061, 5689, 1161, 1135, 21315, 1149, 30472, 9113, 2155, 1147, 5823, 2468, 1135, 7382, 1161, 9403, 10364, 1135, 26434, 15369, 9899, 1361, 5589, 1239, 1656, 1886, 1205, 2718, 1449, 1135, 4522, 1147, 5994, 1149, 3033, 7820, 1194, 2003, 1242, 31186, 179, 1490, 13776, 6129, 1135, 1165, 2066, 1325, 5567, 7277, 31186, 179, 1490, 10761, 2025, 1736, 4429, 21766, 11954, 1163, 1266, 2417, 16063, 5375, 21766, 7869, 15130, 26434, 15369, 9783, 15577, 1132, 1163, 1135, 3624, 1147, 1758, 1799, 20527, 2754, 2484, 12315, 1375, 3026, 1683, 3339, 1297, 3842, 2098, 1537, 2023, 1169, 3846, 1589, 1147, 2464, 1161, 1789, 5687, 3026, 2463, 24554, 1449, 1135, 3569, 158, 6171, 1459, 6556, 1226, 5053, 2484, 10761, 2025, 19847, 26482, 1161, 6459, 5512, 13603, 1267, 22307, 8394, 1201, 18898, 4008, 3590, 30490, 1135, 6928, 4064, 10157, 16183, 1135, 6789, 1161, 26434, 15369, 9783, 1602, 2023, 16799, 1163, 12315, 3735, 4245, 1161, 26603, 21251, 1161, 10157, 27039, 5375, 17161, 190, 1393, 17759, 4426, 3560, 1163, 11378, 9783, 1449, 10771, 120, 4870, 1231, 1272, 1171, 17330, 6515, 2882, 1388, 12225, 1589, 17751, 1628, 1126, 15369, 3965, 30433, 3621, 196, 3867, 186, 12895, 1194, 23222, 7355, 14906, 116, 32001, 1424, 32000, 20036, 5194, 9899, 17937, 2851, 1362, 1186, 8126, 6152, 1313, 1170, 6468, 1227, 1177, 5678, 2121, 1299, 1189, 9899, 24080, 1160, 1167, 15478, 1356, 2537, 1147, 23805, 121, 10984, 8142, 14681, 7492, 1188, 2594, 1107, 1207, 6560, 1125, 31726, 18754, 1104, 3471, 4699, 120, 4870, 4587, 1272, 4023, 9688, 22066, 1109, 6719, 2368, 3173, 172, 1278, 4393, 9124, 1215, 10760, 1197, 11740, 1835, 1282, 9062, 17937, 1199, 1167, 1594, 9869, 1167, 1215, 10760, 1215, 1282, 9062, 1125, 2962, 5736, 26221, 2137, 1362, 17161, 1104, 18726, 9062, 17937, 1199, 9824, 1318, 16730, 4726, 1632, 1256, 1207, 2882, 1125, 2714, 120, 4870, 4587, 1272, 2648, 31249, 1915, 8709, 1160, 1823, 18687, 1389, 1215, 1158, 12700, 1125, 1909, 5736, 119, 1357, 1288, 1170, 13695, 13988, 1382, 2335, 26741, 7151, 1369, 10803, 3591, 1186, 1147, 6719, 1299, 15633, 3143, 1125, 16811, 1158, 11094, 2335, 9899, 1357, 3071, 6106, 1188, 1318, 3529, 1142, 29339, 1362, 1125, 16811, 1158, 3789, 2335, 9899, 3839, 3529, 1142, 10575, 1188, 1158, 3011, 1125, 8823, 18443, 1125, 8323, 19791, 1388, 6535, 1974, 6744, 2121, 1207, 9783, 17937, 1701, 1508, 9948, 1178, 1234, 2567, 1964, 3529, 1142, 29339, 1167, 1508, 3042, 21954, 1830, 1234, 1215, 1964, 4643, 2071, 1313, 1197, 13809, 2205, 4399, 119, 3747, 1300, 1158, 5854, 1125, 1158, 7577, 1227, 3293, 3529, 1142, 1216, 3502, 4651, 1508, 5686, 1234, 1186, 8126, 6152, 7542, 1197, 2879, 1362, 1197, 15223, 2567, 9033, 1606, 1338, 15331, 1234, 1524, 1215, 14132, 1125, 3921, 1215, 1189, 3419, 9899, 1362, 2743, 1215, 1170, 16007, 2335, 2579, 7685, 2260, 1630, 11984, 7745, 180, 5444, 4137, 29339, 1110, 1913, 8105, 8524, 2620, 1282, 9062, 1299, 1215, 8317, 1188, 1197, 8700, 1362, 1197, 1895, 2844, 1525, 8105, 14939, 1256, 1158, 10979, 1357, 5136, 3371, 1711, 4364, 1768, 1915, 2072, 2782, 7809, 244, 1197, 8936, 1125, 2821, 1839, 1104, 1362, 1197, 8936, 8503, 25696, 1256, 5610, 4634, 1125, 1594, 4643, 2071, 2782, 3361, 1389, 1197, 8258, 1186, 22594, 1362, 2743, 2782, 7809, 244, 1318, 9025, 11734, 1623, 8273, 1130, 9899, 17937, 1199, 1915, 1823, 1606, 1338, 15331, 244, 1524, 1188, 1667, 13144, 1186, 2321, 1197, 7571, 6967, 2097, 1125, 1816, 11348, 3655, 7492, 7670, 1313, 1197, 2015, 2585, 1170, 6628, 1125, 14878, 1107, 22058, 5949, 1125, 1282, 9062, 17937, 1199, 1299, 14336, 10119, 244, 1215, 1282, 6724, 1197, 3412, 1188, 8240, 6034, 1320, 2832, 1194, 2003, 1242, 31186, 179, 1490, 2093, 22507, 1170, 4154, 1125, 1158, 6545, 13281, 10406, 1207, 20633, 7277, 31186, 179, 1490, 6096, 1197, 7599, 1455, 1265, 1182, 1554, 8691, 1234, 1188, 1282, 3508, 1901, 121, 4466, 7599, 2599, 1108, 2457, 1125, 5087, 9783, 17937, 1701, 10768, 7846, 1188, 1158, 3624, 1313, 5685, 3342, 17355, 2457, 119, 2008, 26377, 2551, 17983, 1382, 488, 2774, 1197, 2968, 1168, 1836, 1297, 4651, 20619, 1913, 1338, 3846, 1234, 1186, 2015, 4473, 193, 3973, 1125, 1964, 3293, 1215, 1282, 2188, 4365, 121, 1653, 6556, 1215, 8675, 2008, 20633, 15935, 3647, 1473, 11129, 1304, 1452, 2624, 20212, 1701, 5512, 13603, 4195, 18898, 4008, 2923, 2093, 22507, 1158, 6545, 2714, 1170, 10157, 11872, 1170, 6789, 1304, 9062, 17937, 1199, 1110, 1913, 31669, 1571, 26377, 20919, 242, 13709, 1125, 14344, 1197, 14710, 1125, 10157, 22270, 4466, 17161, 190, 1508, 29222, 1125, 4418, 22323, 1571, 9783, 18539, 1215, 1207, 2882, 1125, 2714, 120, 4870, 4587, 1272, 1167, 1125, 3789, 21172, 1388, 10026, 11052, 1424, 21739, 1890, 17937, 2009, 5194, 4071, 1231, 1125, 4202, 1194, 23222, 14200, 9570, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 5194, 9899, 17937, 2851, 1362, 1186, 8126, 6152, 1313, 1170, 6468, 1227, 1177, 5678, 2121, 1299, 1189, 9899, 24080, 1160, 1167, 15478, 1356, 2537, 1147, 23805, 121, 10984, 8142, 14681, 7492, 1188, 2594, 1107, 1207, 6560, 1125, 31726, 18754, 1104, 3471, 4699, 120, 4870, 4587, 1272, 4023, 9688, 22066, 1109, 6719, 2368, 3173, 172, 1278, 4393, 9124, 1215, 10760, 1197, 11740, 1835, 1282, 9062, 17937, 1199, 1167, 1594, 9869, 1167, 1215, 10760, 1215, 1282, 9062, 1125, 2962, 5736, 26221, 2137, 1362, 17161, 1104, 18726, 9062, 17937, 1199, 9824, 1318, 16730, 4726, 1632, 1256, 1207, 2882, 1125, 2714, 120, 4870, 4587, 1272, 2648, 31249, 1915, 8709, 1160, 1823, 18687, 1389, 1215, 1158, 12700, 1125, 1909, 5736, 119, 1357, 1288, 1170, 13695, 13988, 1382, 2335, 26741, 7151, 1369, 10803, 3591, 1186, 1147, 6719, 1299, 15633, 3143, 1125, 16811, 1158, 11094, 2335, 9899, 1357, 3071, 6106, 1188, 1318, 3529, 1142, 29339, 1362, 1125, 16811, 1158, 3789, 2335, 9899, 3839, 3529, 1142, 10575, 1188, 1158, 3011, 1125, 8823, 18443, 1125, 8323, 19791, 1388, 6535, 1974, 6744, 2121, 1207, 9783, 17937, 1701, 1508, 9948, 1178, 1234, 2567, 1964, 3529, 1142, 29339, 1167, 1508, 3042, 21954, 1830, 1234, 1215, 1964, 4643, 2071, 1313, 1197, 13809, 2205, 4399, 119, 3747, 1300, 1158, 5854, 1125, 1158, 7577, 1227, 3293, 3529, 1142, 1216, 3502, 4651, 1508, 5686, 1234, 1186, 8126, 6152, 7542, 1197, 2879, 1362, 1197, 15223, 2567, 9033, 1606, 1338, 15331, 1234, 1524, 1215, 14132, 1125, 3921, 1215, 1189, 3419, 9899, 1362, 2743, 1215, 1170, 16007, 2335, 2579, 7685, 2260, 1630, 11984, 7745, 180, 5444, 4137, 29339, 1110, 1913, 8105, 8524, 2620, 1282, 9062, 1299, 1215, 8317, 1188, 1197, 8700, 1362, 1197, 1895, 2844, 1525, 8105, 14939, 1256, 1158, 10979, 1357, 5136, 3371, 1711, 4364, 1768, 1915, 2072, 2782, 7809, 244, 1197, 8936, 1125, 2821, 1839, 1104, 1362, 1197, 8936, 8503, 25696, 1256, 5610, 4634, 1125, 1594, 4643, 2071, 2782, 3361, 1389, 1197, 8258, 1186, 22594, 1362, 2743, 2782, 7809, 244, 1318, 9025, 11734, 1623, 8273, 1130, 9899, 17937, 1199, 1915, 1823, 1606, 1338, 15331, 244, 1524, 1188, 1667, 13144, 1186, 2321, 1197, 7571, 6967, 2097, 1125, 1816, 11348, 3655, 7492, 7670, 1313, 1197, 2015, 2585, 1170, 6628, 1125, 14878, 1107, 22058, 5949, 1125, 1282, 9062, 17937, 1199, 1299, 14336, 10119, 244, 1215, 1282, 6724, 1197, 3412, 1188, 8240, 6034, 1320, 2832, 1194, 2003, 1242, 31186, 179, 1490, 2093, 22507, 1170, 4154, 1125, 1158, 6545, 13281, 10406, 1207, 20633, 7277, 31186, 179, 1490, 6096, 1197, 7599, 1455, 1265, 1182, 1554, 8691, 1234, 1188, 1282, 3508, 1901, 121, 4466, 7599, 2599, 1108, 2457, 1125, 5087, 9783, 17937, 1701, 10768, 7846, 1188, 1158, 3624, 1313, 5685, 3342, 17355, 2457, 119, 2008, 26377, 2551, 17983, 1382, 488, 2774, 1197, 2968, 1168, 1836, 1297, 4651, 20619, 1913, 1338, 3846, 1234, 1186, 2015, 4473, 193, 3973, 1125, 1964, 3293, 1215, 1282, 2188, 4365, 121, 1653, 6556, 1215, 8675, 2008, 20633, 15935, 3647, 1473, 11129, 1304, 1452, 2624, 20212, 1701, 5512, 13603, 4195, 18898, 4008, 2923, 2093, 22507, 1158, 6545, 2714, 1170, 10157, 11872, 1170, 6789, 1304, 9062, 17937, 1199, 1110, 1913, 31669, 1571, 26377, 20919, 242, 13709, 1125, 14344, 1197, 14710, 1125, 10157, 22270, 4466, 17161, 190, 1508, 29222, 1125, 4418, 22323, 1571, 9783, 18539, 1215, 1207, 2882, 1125, 2714, 120, 4870, 4587, 1272, 1167, 1125, 3789, 21172, 1388, 10026, 11052, 1424, 21739, 1890, 17937, 2009, 5194, 4071, 1231, 1125, 4202, 1194, 23222, 14200, 9570, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 143, 1107, 1293, 2732, 1518, 14804, 1217, 7216, 2720, 1548, 9901, 7071, 1124, 2240, 116, 1299, 1318, 4405, 10956, 1303, 15998, 1632, 23172, 1571, 30615, 16512, 1186, 17490, 1186, 488, 124, 131, 131, 129, 1215, 16860, 7198, 184, 3621, 1320, 1783, 1188, 20598, 1507, 121, 2576, 2603, 11461, 1256, 1207, 13257, 3031, 1158, 4405, 1222, 1141, 21043, 20229, 197, 12929, 10177, 15376, 10791, 3151, 5632, 5016, 1170, 488, 129, 2749, 488, 124, 131, 131, 129, 1167, 1207, 2905, 1215, 12734, 1188, 1189, 17907, 19395, 7441, 2576, 1122, 17288, 1369, 10956, 244, 12262, 6040, 8666, 9310, 133, 14580, 119, 8008, 2538, 2114, 4228, 14433, 7336, 1167, 4399, 3760, 121, 1768, 18900, 2205, 9765, 1189, 2511, 9672, 1125, 11473, 119, 5350, 4855, 1188, 1909, 8008, 2538, 1376, 13335, 1129, 1842, 1357, 1508, 6349, 21722, 1186, 1685, 1277, 2312, 8691, 1234, 5797, 13709, 1469, 1197, 9427, 1842, 1167, 1197, 28640, 1297, 1548, 3151, 7808, 13335, 12980, 8325, 1348, 1299, 3977, 1125, 27741, 4151, 14214, 1173, 3644, 4140, 1233, 15766, 1462, 181, 239, 4285, 26688, 1252, 2312, 1227, 1270, 5094, 1304, 1627, 116, 1357, 14802, 2442, 1189, 3631, 7433, 1125, 14580, 13335, 12980, 1313, 1170, 2854, 1197, 4993, 1462, 1167, 1125, 1158, 1202, 21757, 121, 4787, 3213, 13588, 1188, 9672, 2419, 3310, 1856, 18651, 14540, 22480, 1665, 3307, 6991, 3615, 1212, 1207, 17260, 25145, 1125, 8559, 25083, 10645, 1252, 1687, 197, 8125, 1665, 1362, 2602, 3992, 7445, 25185, 1217, 1108, 1496, 1772, 11769, 11539, 1669, 1107, 1362, 8559, 11893, 2323, 1518, 1608, 12825, 8008, 2538, 1376, 8325, 1837, 1170, 1508, 1313, 1158, 4405, 1227, 6601, 16475, 16147, 1518, 14804, 1217, 3551, 4807, 19659, 5544, 1856, 14214, 4847, 15049, 2174, 22607, 1475, 1125, 27741, 4151, 1186, 488, 124, 131, 132, 132, 119, 1357, 1299, 2227, 3280, 1338, 1740, 1348, 2757, 6925, 16095, 3621, 1320, 1783, 10452, 1158, 4685, 3672, 1207, 22542, 9881, 4092, 1125, 1594, 17752, 1167, 18651, 14540, 22480, 1665, 3307, 6991, 2435, 6728, 6106, 121, 28952, 1844, 1215, 4545, 1167, 5617, 2072, 1197, 31008, 1469, 1197, 4993, 12581, 1440, 1357, 5682, 2845, 27741, 4151, 1357, 1251, 4715, 1125, 1158, 11289, 7190, 14214, 1293, 2732, 1518, 14804, 1217, 22529, 2130, 1597, 11226, 119, 7328, 9911, 13980, 488, 124, 132, 127, 126, 120, 124, 132, 127, 127, 121, 1768, 16823, 1188, 3631, 2290, 1318, 3419, 4438, 1186, 488, 124, 132, 128, 124, 1186, 1248, 4657, 119, 22571, 488, 124, 132, 129, 131, 1388, 31160, 1485, 13588, 21722, 1215, 14214, 1293, 2732, 1518, 14804, 1217, 2567, 488, 124, 132, 127, 127, 10791, 23366, 9905, 8870, 1243, 1121, 1319, 119, 1545, 121, 5763, 1276, 2066, 119, 1252, 1687, 197, 20312, 186, 24147, 16080, 1252, 1687, 197, 17933, 9468, 8559, 25083, 10645, 8125, 2104, 7204, 1346, 6927, 1252, 2547, 190, 4101, 11659, 1810, 5612, 6410, 1897, 2982, 1350, 24862, 6299, 9905, 21586, 1148, 2982, 8559, 11893, 2323, 1518, 1608, 119, 5826, 184, 2506, 1518, 180, 234, 119, 9207, 7546, 1276, 180, 4277, 27741, 4151, 119, 16860, 7198, 184, 9905, 4140, 1204, 262, 179, 3476, 1518, 8335, 7409, 23716, 1863, 1109, 21073, 1248, 4970, 179, 3476, 20312, 186, 1248, 1506, 18284, 10290, 4847, 1190, 3378, 2602, 3992, 9905, 25185, 1217, 2765, 1772, 11769, 11539, 1669, 1659, 31810, 9905, 13206, 1208, 16118, 7002, 1516, 5520, 18324, 6266, 24488, 9994, 2624, 5825, 1424, 1424, 141, 4807, 9889, 1227, 9901, 30733, 2240, 14165, 14804, 1217, 3551, 4807, 19659, 182, 1718, 7244, 30738, 3047, 12614, 27674, 7993, 1974, 1125, 9337, 30650, 1167, 12614, 1566, 3047, 26412, 1186, 10816, 114, 32001, 1424, 32000, 20036, 1763, 1107, 1293, 2732, 1518, 14804, 1217, 1175, 11736, 1589, 1147, 6938, 1296, 1410, 10289, 1748, 30739, 116, 1239, 1110, 13782, 10956, 1589, 4405, 26283, 1355, 19141, 20883, 1147, 18948, 1147, 488, 124, 131, 131, 129, 1449, 16860, 7198, 184, 3621, 1320, 1783, 1147, 20598, 1507, 121, 1410, 18720, 1226, 15733, 1463, 1135, 4405, 1222, 1141, 21043, 20229, 197, 12929, 10177, 7055, 3616, 1940, 6215, 1463, 9578, 1238, 6324, 488, 129, 119, 488, 124, 131, 131, 129, 1171, 1135, 6864, 2025, 8226, 1238, 1110, 26255, 2306, 5068, 1410, 10956, 1589, 26255, 7869, 3259, 15490, 133, 18938, 119, 9530, 1285, 31010, 4237, 8117, 1171, 6750, 3760, 121, 1988, 10874, 7905, 2763, 7015, 119, 7426, 14126, 1163, 2019, 28849, 9530, 190, 1758, 2025, 6470, 8226, 1147, 8192, 20857, 1324, 1186, 25477, 1972, 1171, 28640, 1297, 1410, 1940, 28849, 10704, 8226, 1463, 27741, 4151, 1361, 14214, 1173, 3644, 4140, 1233, 15766, 1462, 181, 239, 4285, 17298, 6218, 1161, 1135, 1233, 1570, 17416, 1213, 1496, 9854, 1110, 1624, 7433, 1161, 28849, 18938, 2142, 1147, 1135, 3018, 1161, 27362, 16797, 1171, 1135, 3432, 180, 2348, 121, 9453, 9753, 18161, 2591, 2754, 2536, 1296, 18651, 14540, 22480, 1665, 3307, 6991, 1175, 8098, 1135, 17260, 3994, 1903, 8559, 25083, 10645, 1252, 1687, 197, 8125, 1665, 119, 1329, 2602, 3992, 7445, 25185, 1217, 1108, 1496, 1772, 11769, 11539, 1669, 1659, 1171, 8559, 11893, 2323, 1518, 1608, 6043, 9530, 190, 2025, 8226, 1147, 1135, 6601, 1361, 4405, 2352, 2128, 1518, 14804, 1217, 3551, 4807, 19659, 5544, 2141, 27741, 4151, 1361, 14214, 4847, 15049, 2174, 22607, 1475, 1147, 488, 124, 131, 132, 132, 119, 1758, 1602, 2023, 23555, 2888, 1109, 1427, 27862, 121, 3621, 1320, 1783, 17326, 1135, 5360, 1226, 1135, 1940, 6402, 30507, 3162, 1161, 2019, 3495, 4377, 2491, 18651, 14540, 22480, 1665, 3307, 6991, 5868, 2060, 121, 2133, 1959, 8226, 1171, 10919, 15869, 1842, 1324, 27362, 3398, 6963, 1758, 1894, 1487, 1156, 27741, 4151, 1296, 1386, 8456, 1341, 1296, 12621, 121, 14214, 1293, 2732, 1518, 14804, 1217, 1463, 8226, 3703, 1597, 11226, 4945, 1135, 3875, 1976, 488, 124, 132, 127, 126, 120, 124, 132, 127, 127, 121, 1988, 1169, 24824, 3208, 1147, 1110, 3259, 1830, 1147, 488, 124, 132, 128, 124, 1147, 5206, 7927, 1762, 22648, 4945, 488, 124, 132, 129, 131, 121, 23178, 1544, 18161, 8226, 1449, 14214, 1293, 2732, 1518, 14804, 1217, 2979, 488, 124, 132, 127, 127, 4667, 21041, 9905, 8870, 1243, 1121, 1319, 119, 1545, 121, 5763, 1276, 2066, 119, 1252, 1687, 197, 20312, 186, 24147, 16080, 1252, 1687, 197, 17933, 9468, 8559, 25083, 10645, 8125, 2104, 7204, 1346, 6927, 1252, 2547, 190, 4101, 11659, 1810, 5612, 6410, 1897, 2982, 1350, 24862, 6299, 9905, 21586, 1148, 2982, 8559, 11893, 2323, 1518, 1608, 119, 5826, 184, 2506, 1518, 180, 234, 119, 9207, 7546, 1276, 180, 4277, 27741, 4151, 119, 16860, 7198, 184, 9905, 4140, 1204, 262, 179, 3476, 1518, 8335, 7409, 23716, 1863, 1109, 21073, 1248, 4970, 179, 3476, 20312, 186, 1248, 1506, 18284, 10290, 4847, 1190, 3378, 2602, 3992, 9905, 25185, 1217, 2765, 1772, 11769, 11539, 1669, 1659, 31810, 9905, 13206, 1208, 16118, 7002, 1516, 5520, 1171, 18324, 6266, 24488, 121, 2093, 26722, 14520, 29115, 6032, 1161, 1135, 10289, 1748, 30739, 14165, 14804, 1217, 3551, 4807, 19659, 182, 116, 2093, 7244, 1424, 164, 3297, 5338, 1424, 155, 12601, 1107, 1161, 4851, 1171, 15681, 10127, 1424, 2812, 2296, 1269, 5338, 1147, 7927, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1763, 1107, 1293, 2732, 1518, 14804, 1217, 1175, 11736, 1589, 1147, 6938, 1296, 1410, 10289, 1748, 30739, 116, 1239, 1110, 13782, 10956, 1589, 4405, 26283, 1355, 19141, 20883, 1147, 18948, 1147, 488, 124, 131, 131, 129, 1449, 16860, 7198, 184, 3621, 1320, 1783, 1147, 20598, 1507, 121, 1410, 18720, 1226, 15733, 1463, 1135, 4405, 1222, 1141, 21043, 20229, 197, 12929, 10177, 7055, 3616, 1940, 6215, 1463, 9578, 1238, 6324, 488, 129, 119, 488, 124, 131, 131, 129, 1171, 1135, 6864, 2025, 8226, 1238, 1110, 26255, 2306, 5068, 1410, 10956, 1589, 26255, 7869, 3259, 15490, 133, 18938, 119, 9530, 1285, 31010, 4237, 8117, 1171, 6750, 3760, 121, 1988, 10874, 7905, 2763, 7015, 119, 7426, 14126, 1163, 2019, 28849, 9530, 190, 1758, 2025, 6470, 8226, 1147, 8192, 20857, 1324, 1186, 25477, 1972, 1171, 28640, 1297, 1410, 1940, 28849, 10704, 8226, 1463, 27741, 4151, 1361, 14214, 1173, 3644, 4140, 1233, 15766, 1462, 181, 239, 4285, 17298, 6218, 1161, 1135, 1233, 1570, 17416, 1213, 1496, 9854, 1110, 1624, 7433, 1161, 28849, 18938, 2142, 1147, 1135, 3018, 1161, 27362, 16797, 1171, 1135, 3432, 180, 2348, 121, 9453, 9753, 18161, 2591, 2754, 2536, 1296, 18651, 14540, 22480, 1665, 3307, 6991, 1175, 8098, 1135, 17260, 3994, 1903, 8559, 25083, 10645, 1252, 1687, 197, 8125, 1665, 119, 1329, 2602, 3992, 7445, 25185, 1217, 1108, 1496, 1772, 11769, 11539, 1669, 1659, 1171, 8559, 11893, 2323, 1518, 1608, 6043, 9530, 190, 2025, 8226, 1147, 1135, 6601, 1361, 4405, 2352, 2128, 1518, 14804, 1217, 3551, 4807, 19659, 5544, 2141, 27741, 4151, 1361, 14214, 4847, 15049, 2174, 22607, 1475, 1147, 488, 124, 131, 132, 132, 119, 1758, 1602, 2023, 23555, 2888, 1109, 1427, 27862, 121, 3621, 1320, 1783, 17326, 1135, 5360, 1226, 1135, 1940, 6402, 30507, 3162, 1161, 2019, 3495, 4377, 2491, 18651, 14540, 22480, 1665, 3307, 6991, 5868, 2060, 121, 2133, 1959, 8226, 1171, 10919, 15869, 1842, 1324, 27362, 3398, 6963, 1758, 1894, 1487, 1156, 27741, 4151, 1296, 1386, 8456, 1341, 1296, 12621, 121, 14214, 1293, 2732, 1518, 14804, 1217, 1463, 8226, 3703, 1597, 11226, 4945, 1135, 3875, 1976, 488, 124, 132, 127, 126, 120, 124, 132, 127, 127, 121, 1988, 1169, 24824, 3208, 1147, 1110, 3259, 1830, 1147, 488, 124, 132, 128, 124, 1147, 5206, 7927, 1762, 22648, 4945, 488, 124, 132, 129, 131, 121, 23178, 1544, 18161, 8226, 1449, 14214, 1293, 2732, 1518, 14804, 1217, 2979, 488, 124, 132, 127, 127, 4667, 21041, 9905, 8870, 1243, 1121, 1319, 119, 1545, 121, 5763, 1276, 2066, 119, 1252, 1687, 197, 20312, 186, 24147, 16080, 1252, 1687, 197, 17933, 9468, 8559, 25083, 10645, 8125, 2104, 7204, 1346, 6927, 1252, 2547, 190, 4101, 11659, 1810, 5612, 6410, 1897, 2982, 1350, 24862, 6299, 9905, 21586, 1148, 2982, 8559, 11893, 2323, 1518, 1608, 119, 5826, 184, 2506, 1518, 180, 234, 119, 9207, 7546, 1276, 180, 4277, 27741, 4151, 119, 16860, 7198, 184, 9905, 4140, 1204, 262, 179, 3476, 1518, 8335, 7409, 23716, 1863, 1109, 21073, 1248, 4970, 179, 3476, 20312, 186, 1248, 1506, 18284, 10290, 4847, 1190, 3378, 2602, 3992, 9905, 25185, 1217, 2765, 1772, 11769, 11539, 1669, 1659, 31810, 9905, 13206, 1208, 16118, 7002, 1516, 5520, 1171, 18324, 6266, 24488, 121, 2093, 26722, 14520, 29115, 6032, 1161, 1135, 10289, 1748, 30739, 14165, 14804, 1217, 3551, 4807, 19659, 182, 116, 2093, 7244, 1424, 164, 3297, 5338, 1424, 155, 12601, 1107, 1161, 4851, 1171, 15681, 10127, 1424, 2812, 2296, 1269, 5338, 1147, 7927, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 17295, 7879, 10170, 5811, 1299, 1189, 5878, 1125, 7711, 2720, 15974, 1186, 488, 124, 132, 130, 127, 1188, 27443, 1313, 1170, 5927, 1125, 1282, 5018, 17966, 1768, 8246, 6146, 1186, 488, 124, 132, 132, 125, 1215, 1561, 14853, 1469, 1170, 17295, 7879, 27443, 1222, 1334, 1479, 3356, 3042, 1186, 6311, 10041, 119, 1186, 5169, 1227, 7253, 1125, 1158, 23361, 1125, 1288, 9331, 5824, 1909, 1994, 17587, 12973, 1189, 4374, 5878, 20481, 15624, 5878, 18402, 1197, 6346, 19053, 1227, 12311, 22501, 2733, 3310, 3247, 1125, 1158, 3837, 10019, 1186, 2811, 1196, 10793, 1125, 1282, 5018, 6909, 2585, 1281, 1508, 22020, 1234, 1317, 488, 4319, 1197, 4092, 488, 124, 132, 130, 123, 1207, 2907, 1205, 7743, 9320, 2624, 1125, 15040, 1383, 6204, 1548, 5878, 5909, 14867, 1170, 1874, 1125, 1158, 11495, 1256, 2183, 1227, 5397, 21809, 1158, 1606, 1204, 11229, 1248, 1647, 1222, 25047, 3133, 2648, 1527, 2918, 1125, 1874, 1186, 488, 124, 132, 130, 126, 121, 1548, 3631, 1874, 17295, 7879, 10170, 5811, 1299, 1189, 22107, 1188, 10170, 5811, 2722, 2244, 4741, 6018, 10952, 1227, 5878, 1167, 8658, 1227, 4637, 1227, 5878, 9228, 2722, 2244, 4741, 1357, 1805, 6106, 1186, 488, 124, 132, 130, 126, 1313, 1189, 9732, 1125, 8897, 3042, 3365, 30816, 1189, 26673, 1125, 24871, 3534, 1136, 1272, 1256, 1895, 8676, 1659, 2750, 1189, 3904, 119, 1909, 11406, 4981, 8941, 5166, 1313, 1189, 10640, 1317, 2148, 1125, 12547, 1210, 4586, 1105, 8155, 5878, 1910, 1186, 3453, 4726, 1125, 10750, 1186, 488, 124, 132, 130, 127, 1256, 14534, 1186, 488, 124, 132, 131, 128, 1170, 16277, 1125, 2315, 1125, 13897, 488, 127, 2585, 1527, 4933, 7328, 1561, 26371, 1186, 488, 124, 132, 132, 125, 8732, 26361, 1424, 130, 26940, 1186, 26389, 1125, 2315, 1125, 13897, 488, 127, 1194, 2330, 1916, 1231, 1125, 10041, 13076, 12132, 1125, 1158, 1115, 11636, 24135, 23343, 1186, 488, 124, 132, 131, 128, 22672, 1125, 11043, 5121, 13076, 12132, 14011, 2740, 6455, 116, 1125, 1158, 1115, 11636, 24135, 23343, 1186, 488, 124, 132, 131, 127, 12662, 7849, 3608, 29515, 1935, 249, 1245, 1392, 1548, 7774, 8946, 12243, 1227, 5878, 1299, 1170, 24333, 1383, 183, 1517, 11449, 29505, 119, 7271, 10952, 5843, 121, 1653, 488, 124, 132, 131, 128, 120, 124, 132, 131, 129, 119, 20774, 24526, 1108, 1125, 1663, 6927, 16906, 16714, 5909, 1186, 3812, 10796, 7216, 23504, 1469, 29505, 4023, 124, 132, 131, 124, 120, 124, 132, 132, 125, 1257, 11449, 29505, 488, 124, 132, 131, 128, 120, 124, 132, 131, 129, 1257, 6927, 16906, 16714, 488, 124, 132, 131, 132, 120, 124, 132, 132, 123, 1257, 8702, 23369, 2104, 4092, 488, 124, 132, 132, 123, 1257, 26261, 5017, 1436, 1117, 9323, 1167, 16828, 5825, 1252, 3352, 1125, 27443, 1300, 7635, 121, 1724, 26170, 1297, 27778, 5446, 1173, 1542, 2322, 3596, 1257, 1170, 13054, 20252, 30945, 1590, 1300, 1131, 4830, 2011, 1371, 1862, 1252, 3352, 1227, 5878, 1300, 2477, 8103, 120, 13620, 1862, 1194, 2809, 1287, 1125, 7711, 8246, 192, 1186, 2315, 10170, 5811, 7879, 15601, 1188, 27443, 7879, 1125, 7711, 15974, 1186, 488, 124, 132, 130, 127, 7879, 1125, 7711, 8246, 192, 1186, 488, 124, 132, 132, 125, 32001, 1424, 32000, 20036, 3616, 17295, 7879, 10170, 5811, 1239, 1110, 9197, 7711, 5878, 20883, 1147, 488, 124, 132, 130, 127, 1147, 27443, 1147, 1135, 15867, 1161, 3122, 17966, 1988, 12962, 176, 3208, 1147, 488, 124, 132, 132, 125, 2488, 2019, 4592, 2104, 1324, 17295, 7879, 27443, 1222, 1334, 29567, 2357, 2491, 1147, 1135, 2423, 10041, 119, 5404, 1163, 1135, 7389, 3258, 1361, 9382, 1163, 2155, 16046, 1230, 2019, 4866, 1176, 1429, 1163, 1704, 5878, 121, 2093, 24436, 14860, 5878, 9969, 6135, 6176, 2337, 1446, 1135, 22501, 26504, 18959, 119, 8452, 1238, 1135, 2626, 8617, 1161, 1135, 3122, 1450, 16695, 119, 2468, 18143, 27925, 1701, 1147, 27443, 2055, 31278, 1147, 1135, 5756, 488, 124, 132, 130, 123, 1297, 1410, 5878, 1463, 19089, 9463, 1135, 5886, 5540, 1256, 2183, 1227, 12311, 109, 6229, 176, 1961, 6042, 8733, 4597, 1112, 1162, 7978, 1496, 2491, 9681, 2019, 2220, 1147, 488, 124, 132, 130, 126, 121, 1410, 1624, 2220, 17295, 7879, 10170, 5811, 11417, 1111, 4005, 1163, 10170, 5811, 2722, 2244, 4741, 1110, 6176, 7402, 1147, 1135, 5878, 1171, 1594, 1161, 1135, 5878, 10283, 9228, 2722, 2244, 4741, 2000, 12743, 1147, 1110, 1734, 9732, 1147, 488, 124, 132, 130, 126, 2884, 1734, 16774, 1149, 1163, 3139, 1765, 7888, 1656, 1226, 22832, 2470, 1110, 3904, 6043, 5878, 5970, 1147, 1135, 1940, 10750, 1147, 488, 124, 132, 130, 127, 1171, 13372, 1135, 9197, 14560, 1276, 13897, 1147, 488, 124, 132, 131, 128, 119, 2468, 1341, 20642, 4945, 2019, 12962, 1570, 1336, 1147, 488, 124, 132, 132, 125, 7552, 1210, 1214, 1196, 1525, 106, 130, 1281, 10508, 1147, 1135, 9197, 14560, 1276, 13897, 4196, 1916, 1231, 1161, 1135, 16131, 1121, 13897, 1161, 1135, 24135, 23343, 21828, 1147, 488, 124, 132, 131, 128, 4196, 1916, 1231, 1161, 1135, 16131, 1121, 11043, 5121, 4289, 3297, 1608, 2957, 116, 1161, 1135, 24135, 23343, 21828, 1147, 488, 124, 132, 131, 127, 12662, 26981, 2695, 12498, 186, 13610, 1410, 2274, 8560, 1161, 1135, 5878, 1463, 27443, 13253, 11449, 29505, 119, 1110, 6459, 8801, 2489, 1657, 1459, 488, 124, 132, 131, 128, 120, 124, 132, 131, 129, 119, 6459, 8603, 1347, 15369, 6927, 16906, 16714, 5868, 3812, 1161, 1135, 3390, 21857, 29505, 1388, 124, 132, 131, 124, 120, 124, 132, 132, 125, 133, 11449, 29505, 106, 124, 132, 131, 128, 120, 124, 132, 131, 129, 133, 6927, 16906, 1105, 14541, 124, 132, 131, 132, 120, 124, 132, 132, 123, 133, 8702, 23369, 2104, 106, 124, 132, 132, 123, 3009, 26261, 5017, 1436, 1117, 1194, 1891, 9520, 1194, 26722, 9354, 190, 27443, 1361, 12388, 1238, 7635, 121, 1724, 26170, 1297, 27778, 5446, 1863, 6351, 133, 13054, 20252, 30945, 108, 1238, 1131, 4830, 2011, 1371, 1862, 7879, 12388, 1238, 2477, 8103, 120, 13620, 1862, 1194, 18229, 22443, 7711, 5878, 1147, 2315, 10170, 5811, 12943, 5878, 1147, 27443, 17295, 5878, 20883, 1147, 488, 124, 132, 130, 127, 17295, 5878, 9144, 13972, 1147, 488, 124, 132, 132, 125, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 17295, 7879, 10170, 5811, 1239, 1110, 9197, 7711, 5878, 20883, 1147, 488, 124, 132, 130, 127, 1147, 27443, 1147, 1135, 15867, 1161, 3122, 17966, 1988, 12962, 176, 3208, 1147, 488, 124, 132, 132, 125, 2488, 2019, 4592, 2104, 1324, 17295, 7879, 27443, 1222, 1334, 29567, 2357, 2491, 1147, 1135, 2423, 10041, 119, 5404, 1163, 1135, 7389, 3258, 1361, 9382, 1163, 2155, 16046, 1230, 2019, 4866, 1176, 1429, 1163, 1704, 5878, 121, 2093, 24436, 14860, 5878, 9969, 6135, 6176, 2337, 1446, 1135, 22501, 26504, 18959, 119, 8452, 1238, 1135, 2626, 8617, 1161, 1135, 3122, 1450, 16695, 119, 2468, 18143, 27925, 1701, 1147, 27443, 2055, 31278, 1147, 1135, 5756, 488, 124, 132, 130, 123, 1297, 1410, 5878, 1463, 19089, 9463, 1135, 5886, 5540, 1256, 2183, 1227, 12311, 109, 6229, 176, 1961, 6042, 8733, 4597, 1112, 1162, 7978, 1496, 2491, 9681, 2019, 2220, 1147, 488, 124, 132, 130, 126, 121, 1410, 1624, 2220, 17295, 7879, 10170, 5811, 11417, 1111, 4005, 1163, 10170, 5811, 2722, 2244, 4741, 1110, 6176, 7402, 1147, 1135, 5878, 1171, 1594, 1161, 1135, 5878, 10283, 9228, 2722, 2244, 4741, 2000, 12743, 1147, 1110, 1734, 9732, 1147, 488, 124, 132, 130, 126, 2884, 1734, 16774, 1149, 1163, 3139, 1765, 7888, 1656, 1226, 22832, 2470, 1110, 3904, 6043, 5878, 5970, 1147, 1135, 1940, 10750, 1147, 488, 124, 132, 130, 127, 1171, 13372, 1135, 9197, 14560, 1276, 13897, 1147, 488, 124, 132, 131, 128, 119, 2468, 1341, 20642, 4945, 2019, 12962, 1570, 1336, 1147, 488, 124, 132, 132, 125, 7552, 1210, 1214, 1196, 1525, 106, 130, 1281, 10508, 1147, 1135, 9197, 14560, 1276, 13897, 4196, 1916, 1231, 1161, 1135, 16131, 1121, 13897, 1161, 1135, 24135, 23343, 21828, 1147, 488, 124, 132, 131, 128, 4196, 1916, 1231, 1161, 1135, 16131, 1121, 11043, 5121, 4289, 3297, 1608, 2957, 116, 1161, 1135, 24135, 23343, 21828, 1147, 488, 124, 132, 131, 127, 12662, 26981, 2695, 12498, 186, 13610, 1410, 2274, 8560, 1161, 1135, 5878, 1463, 27443, 13253, 11449, 29505, 119, 1110, 6459, 8801, 2489, 1657, 1459, 488, 124, 132, 131, 128, 120, 124, 132, 131, 129, 119, 6459, 8603, 1347, 15369, 6927, 16906, 16714, 5868, 3812, 1161, 1135, 3390, 21857, 29505, 1388, 124, 132, 131, 124, 120, 124, 132, 132, 125, 133, 11449, 29505, 106, 124, 132, 131, 128, 120, 124, 132, 131, 129, 133, 6927, 16906, 1105, 14541, 124, 132, 131, 132, 120, 124, 132, 132, 123, 133, 8702, 23369, 2104, 106, 124, 132, 132, 123, 3009, 26261, 5017, 1436, 1117, 1194, 1891, 9520, 1194, 26722, 9354, 190, 27443, 1361, 12388, 1238, 7635, 121, 1724, 26170, 1297, 27778, 5446, 1863, 6351, 133, 13054, 20252, 30945, 108, 1238, 1131, 4830, 2011, 1371, 1862, 7879, 12388, 1238, 2477, 8103, 120, 13620, 1862, 1194, 18229, 22443, 7711, 5878, 1147, 2315, 10170, 5811, 12943, 5878, 1147, 27443, 17295, 5878, 20883, 1147, 488, 124, 132, 130, 127, 17295, 5878, 9144, 13972, 1147, 488, 124, 132, 132, 125, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 16814, 9615, 24325, 5011, 6713, 120, 2450, 120, 132, 116, 1299, 1189, 27214, 120, 2318, 1277, 488, 1227, 18920, 1125, 1158, 25849, 1197, 24884, 1186, 8166, 1256, 1282, 3488, 13363, 2305, 1548, 27214, 4665, 1170, 1874, 1125, 17902, 1227, 1352, 21528, 119, 2445, 9918, 2290, 1170, 1874, 1125, 24325, 5011, 10177, 15376, 1424, 5184, 18187, 5011, 1110, 1913, 13342, 1170, 488, 125, 125, 3201, 488, 124, 132, 129, 127, 119, 2290, 1170, 1874, 1125, 1116, 21088, 3597, 1134, 4280, 16814, 1204, 1351, 1183, 8272, 26178, 2290, 5234, 1125, 1282, 2029, 2580, 6716, 1918, 8068, 17037, 4698, 1868, 3269, 1576, 3480, 1216, 1635, 1215, 1170, 1539, 2694, 1107, 3202, 1132, 1459, 178, 14964, 1125, 1202, 4910, 1193, 2610, 1810, 1313, 1170, 10037, 31246, 2433, 1527, 1110, 1913, 17034, 1170, 488, 125, 126, 2822, 488, 124, 132, 129, 127, 1167, 28692, 1317, 13129, 3269, 1170, 488, 129, 2749, 488, 124, 132, 129, 128, 119, 1256, 1170, 2424, 1469, 1158, 10651, 31702, 3046, 174, 142, 1351, 1480, 1200, 2252, 8370, 488, 124, 132, 130, 128, 119, 1170, 27214, 1110, 1913, 1543, 1510, 244, 1167, 8551, 1117, 1186, 4665, 12324, 14565, 3247, 1215, 11309, 175, 2460, 1461, 1671, 4748, 1188, 7494, 10819, 1105, 1317, 8293, 6631, 1768, 1110, 1913, 24511, 1188, 1282, 2029, 2580, 6716, 1200, 2252, 1186, 488, 124, 132, 131, 126, 1167, 9505, 21258, 244, 16814, 4950, 2068, 191, 1491, 121, 1192, 4308, 14137, 244, 2770, 5736, 1186, 488, 124, 132, 131, 129, 119, 1170, 27214, 1110, 1913, 19756, 1188, 1158, 13129, 3269, 1186, 488, 124, 132, 131, 130, 1167, 18513, 1313, 1158, 4966, 27358, 3079, 3801, 1252, 29570, 6229, 13130, 145, 1576, 1548, 27214, 1110, 1913, 8551, 1117, 1186, 27214, 120, 2318, 1277, 1317, 4966, 30777, 1171, 2460, 1461, 28789, 19349, 1188, 6284, 11374, 178, 2086, 7892, 2620, 1167, 3902, 1186, 2424, 2290, 1170, 1874, 1125, 16814, 9615, 24325, 5011, 6713, 120, 2450, 158, 120, 132, 116, 1170, 488, 125, 125, 3012, 488, 124, 132, 131, 132, 119, 7208, 244, 1188, 1158, 8354, 196, 3079, 3801, 15068, 6700, 157, 145, 1496, 2290, 1170, 5136, 10317, 4930, 1227, 7829, 20838, 2499, 3829, 191, 13537, 4698, 10083, 4023, 146, 3799, 24325, 5011, 1110, 1913, 1675, 1124, 1568, 1188, 1233, 3049, 1494, 2114, 2585, 1527, 1110, 1913, 4211, 192, 1313, 1189, 8142, 1125, 7809, 2071, 7208, 244, 1317, 8483, 7969, 1217, 2548, 1125, 26921, 1125, 2260, 4218, 2500, 21266, 121, 1768, 1110, 1913, 9830, 1568, 1227, 5136, 1227, 1204, 10083, 1167, 9830, 1568, 1125, 1158, 1248, 157, 145, 1215, 1338, 2949, 1363, 1162, 1188, 1158, 4966, 27358, 3079, 3801, 1252, 29570, 1317, 12988, 1170, 488, 126, 123, 2798, 488, 125, 123, 123, 129, 121, 1768, 1110, 2757, 1913, 1338, 2949, 1363, 244, 1188, 1158, 8166, 1125, 1158, 2164, 7416, 1125, 8166, 23286, 119, 1186, 1138, 9312, 1125, 1173, 1660, 1145, 1186, 7892, 1214, 30039, 2072, 9323, 1167, 5474, 17994, 12928, 1142, 2094, 191, 7664, 5612, 1175, 125, 123, 124, 124, 1576, 1410, 27250, 1161, 1135, 1266, 1308, 7565, 1192, 4780, 488, 124, 132, 127, 130, 120, 125, 123, 123, 130, 121, 1248, 1261, 6607, 121, 6749, 28870, 5825, 1424, 16814, 9615, 24325, 5011, 1175, 2450, 158, 120, 132, 116, 1323, 7649, 13363, 7244, 13475, 106, 9615, 24325, 5011, 1175, 2450, 158, 488, 132, 116, 1175, 2450, 158, 488, 124, 123, 116, 1323, 7649, 1266, 10646, 1352, 1224, 1140, 20432, 7364, 11052, 1424, 12253, 1197, 26921, 31497, 1690, 1125, 1282, 2029, 2580, 6716, 13363, 18100, 27214, 120, 2318, 1277, 4713, 1342, 1229, 120, 2318, 1277, 1125, 1282, 3488, 27250, 2056, 13974, 17034, 1186, 488, 124, 132, 129, 127, 1875, 1342, 1229, 13826, 1188, 1202, 4910, 1193, 2610, 172, 1875, 1342, 1229, 31497, 1369, 1125, 1282, 3488, 27250, 32001, 1424, 32000, 20036, 3616, 16814, 9615, 24325, 5011, 6713, 120, 2450, 120, 132, 116, 1239, 1110, 2669, 2988, 12917, 1161, 1135, 4909, 6716, 8729, 1161, 12111, 21667, 1147, 31013, 1226, 1135, 3569, 13363, 2305, 1410, 12917, 1239, 9463, 2470, 1135, 2730, 1161, 1352, 21528, 119, 1959, 5388, 1296, 1135, 24325, 5011, 10177, 7055, 2056, 13682, 1263, 5011, 1463, 11219, 1238, 6678, 488, 125, 125, 119, 488, 124, 132, 129, 127, 119, 1296, 1110, 1116, 21088, 12917, 119, 16814, 1204, 1351, 1183, 8272, 26178, 2670, 6013, 1226, 1135, 4909, 6716, 1918, 8068, 17037, 4698, 1868, 3269, 1576, 1233, 4019, 191, 1449, 1459, 178, 14964, 2460, 1461, 196, 1379, 1147, 1202, 4910, 1193, 2610, 1810, 10037, 31246, 2433, 1341, 1463, 15763, 1238, 7357, 488, 125, 126, 119, 488, 124, 132, 129, 127, 1171, 18396, 1163, 13129, 3269, 1238, 6324, 488, 129, 119, 488, 124, 132, 129, 128, 119, 1226, 2424, 1324, 31702, 3046, 174, 142, 1351, 1480, 1200, 2252, 6649, 488, 124, 132, 130, 128, 119, 1135, 12917, 1463, 4577, 10281, 1171, 25137, 2127, 1110, 13110, 12917, 1910, 1269, 1449, 11309, 175, 2460, 1461, 1671, 1379, 1147, 7494, 10819, 2114, 8293, 6631, 1988, 1463, 8420, 1163, 4909, 6716, 1200, 2252, 1147, 488, 124, 132, 131, 126, 1171, 2674, 5417, 16814, 4950, 2068, 191, 1491, 121, 2932, 6029, 8861, 1147, 488, 124, 132, 131, 129, 119, 1135, 12917, 1463, 31145, 1163, 13129, 3269, 1147, 488, 124, 132, 131, 130, 1171, 12627, 1147, 1135, 4966, 27358, 3079, 3801, 1252, 29570, 6229, 13130, 145, 1576, 1410, 12917, 1463, 25137, 2127, 1110, 2669, 2988, 12917, 1355, 1135, 4966, 30777, 1171, 2460, 1461, 28789, 19349, 1147, 6284, 11374, 178, 2086, 28666, 1171, 6086, 1156, 1296, 1135, 16814, 9615, 24325, 5011, 6713, 120, 2450, 158, 120, 132, 116, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 131, 132, 119, 18986, 1163, 1135, 8354, 196, 3079, 3801, 15068, 6700, 157, 18748, 2670, 1135, 28335, 4447, 1161, 1135, 7829, 20838, 2499, 3829, 191, 13537, 4698, 10083, 4023, 146, 3799, 24325, 5011, 1463, 1138, 1494, 2718, 1147, 1233, 3049, 1494, 2114, 2468, 1341, 1463, 27479, 1147, 1110, 2730, 1161, 2679, 2686, 119, 18986, 1163, 1135, 4823, 29971, 2548, 1161, 21266, 1578, 4218, 1149, 12917, 1297, 1988, 1463, 13979, 1446, 1204, 10083, 4447, 1171, 6762, 1656, 1161, 1135, 1248, 157, 145, 1449, 1169, 17425, 1160, 1163, 1135, 4966, 27358, 3079, 3801, 1252, 29570, 1147, 12988, 1238, 6384, 488, 126, 123, 119, 488, 125, 123, 123, 129, 121, 1988, 1602, 3976, 2023, 1169, 1322, 5785, 1163, 1135, 8354, 196, 3079, 3801, 1252, 29570, 3079, 3801, 119, 1147, 1173, 1660, 1145, 1233, 6234, 11610, 1388, 21320, 1959, 1194, 1891, 9520, 12323, 4807, 11114, 1628, 1142, 2094, 191, 7664, 5612, 1175, 125, 123, 124, 124, 1576, 1410, 27250, 1161, 1135, 1266, 1308, 7565, 1192, 4780, 488, 124, 132, 127, 130, 120, 125, 123, 123, 130, 121, 1248, 1261, 6607, 121, 488, 6034, 6911, 14520, 1628, 158, 9615, 24325, 5011, 1175, 2450, 158, 120, 132, 116, 1323, 13363, 7244, 13475, 2911, 3799, 24325, 5011, 1175, 2450, 158, 488, 132, 116, 1175, 2450, 158, 488, 124, 123, 116, 1323, 1266, 10646, 1352, 1224, 1140, 20432, 1194, 12225, 1589, 14520, 1489, 1267, 1161, 31497, 1626, 1492, 7164, 1161, 1135, 4909, 6716, 27250, 1505, 27524, 12917, 1194, 2029, 2580, 6716, 27250, 10148, 2988, 2460, 1461, 1628, 2840, 190, 15763, 1147, 488, 124, 132, 129, 127, 1628, 2840, 190, 7406, 1147, 1202, 4910, 1193, 2610, 172, 5194, 2580, 6716, 27250, 31497, 1626, 12917, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 16814, 9615, 24325, 5011, 6713, 120, 2450, 120, 132, 116, 1239, 1110, 2669, 2988, 12917, 1161, 1135, 4909, 6716, 8729, 1161, 12111, 21667, 1147, 31013, 1226, 1135, 3569, 13363, 2305, 1410, 12917, 1239, 9463, 2470, 1135, 2730, 1161, 1352, 21528, 119, 1959, 5388, 1296, 1135, 24325, 5011, 10177, 7055, 2056, 13682, 1263, 5011, 1463, 11219, 1238, 6678, 488, 125, 125, 119, 488, 124, 132, 129, 127, 119, 1296, 1110, 1116, 21088, 12917, 119, 16814, 1204, 1351, 1183, 8272, 26178, 2670, 6013, 1226, 1135, 4909, 6716, 1918, 8068, 17037, 4698, 1868, 3269, 1576, 1233, 4019, 191, 1449, 1459, 178, 14964, 2460, 1461, 196, 1379, 1147, 1202, 4910, 1193, 2610, 1810, 10037, 31246, 2433, 1341, 1463, 15763, 1238, 7357, 488, 125, 126, 119, 488, 124, 132, 129, 127, 1171, 18396, 1163, 13129, 3269, 1238, 6324, 488, 129, 119, 488, 124, 132, 129, 128, 119, 1226, 2424, 1324, 31702, 3046, 174, 142, 1351, 1480, 1200, 2252, 6649, 488, 124, 132, 130, 128, 119, 1135, 12917, 1463, 4577, 10281, 1171, 25137, 2127, 1110, 13110, 12917, 1910, 1269, 1449, 11309, 175, 2460, 1461, 1671, 1379, 1147, 7494, 10819, 2114, 8293, 6631, 1988, 1463, 8420, 1163, 4909, 6716, 1200, 2252, 1147, 488, 124, 132, 131, 126, 1171, 2674, 5417, 16814, 4950, 2068, 191, 1491, 121, 2932, 6029, 8861, 1147, 488, 124, 132, 131, 129, 119, 1135, 12917, 1463, 31145, 1163, 13129, 3269, 1147, 488, 124, 132, 131, 130, 1171, 12627, 1147, 1135, 4966, 27358, 3079, 3801, 1252, 29570, 6229, 13130, 145, 1576, 1410, 12917, 1463, 25137, 2127, 1110, 2669, 2988, 12917, 1355, 1135, 4966, 30777, 1171, 2460, 1461, 28789, 19349, 1147, 6284, 11374, 178, 2086, 28666, 1171, 6086, 1156, 1296, 1135, 16814, 9615, 24325, 5011, 6713, 120, 2450, 158, 120, 132, 116, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 131, 132, 119, 18986, 1163, 1135, 8354, 196, 3079, 3801, 15068, 6700, 157, 18748, 2670, 1135, 28335, 4447, 1161, 1135, 7829, 20838, 2499, 3829, 191, 13537, 4698, 10083, 4023, 146, 3799, 24325, 5011, 1463, 1138, 1494, 2718, 1147, 1233, 3049, 1494, 2114, 2468, 1341, 1463, 27479, 1147, 1110, 2730, 1161, 2679, 2686, 119, 18986, 1163, 1135, 4823, 29971, 2548, 1161, 21266, 1578, 4218, 1149, 12917, 1297, 1988, 1463, 13979, 1446, 1204, 10083, 4447, 1171, 6762, 1656, 1161, 1135, 1248, 157, 145, 1449, 1169, 17425, 1160, 1163, 1135, 4966, 27358, 3079, 3801, 1252, 29570, 1147, 12988, 1238, 6384, 488, 126, 123, 119, 488, 125, 123, 123, 129, 121, 1988, 1602, 3976, 2023, 1169, 1322, 5785, 1163, 1135, 8354, 196, 3079, 3801, 1252, 29570, 3079, 3801, 119, 1147, 1173, 1660, 1145, 1233, 6234, 11610, 1388, 21320, 1959, 1194, 1891, 9520, 12323, 4807, 11114, 1628, 1142, 2094, 191, 7664, 5612, 1175, 125, 123, 124, 124, 1576, 1410, 27250, 1161, 1135, 1266, 1308, 7565, 1192, 4780, 488, 124, 132, 127, 130, 120, 125, 123, 123, 130, 121, 1248, 1261, 6607, 121, 488, 6034, 6911, 14520, 1628, 158, 9615, 24325, 5011, 1175, 2450, 158, 120, 132, 116, 1323, 13363, 7244, 13475, 2911, 3799, 24325, 5011, 1175, 2450, 158, 488, 132, 116, 1175, 2450, 158, 488, 124, 123, 116, 1323, 1266, 10646, 1352, 1224, 1140, 20432, 1194, 12225, 1589, 14520, 1489, 1267, 1161, 31497, 1626, 1492, 7164, 1161, 1135, 4909, 6716, 27250, 1505, 27524, 12917, 1194, 2029, 2580, 6716, 27250, 10148, 2988, 2460, 1461, 1628, 2840, 190, 15763, 1147, 488, 124, 132, 129, 127, 1628, 2840, 190, 7406, 1147, 1202, 4910, 1193, 2610, 172, 5194, 2580, 6716, 27250, 31497, 1626, 12917, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 10791, 1204, 10083, 2499, 2215, 1345, 1299, 1189, 27214, 1125, 8308, 13476, 13826, 1571, 13584, 1201, 1125, 1252, 2171, 2694, 1107, 180, 1125, 3335, 177, 12172, 1438, 1186, 20375, 3317, 1204, 10083, 2499, 2215, 1345, 2934, 1170, 8483, 1113, 2558, 16081, 1125, 1158, 5971, 2499, 1141, 10406, 1723, 1408, 2102, 1125, 488, 124, 128, 13061, 1309, 1909, 14547, 1416, 9892, 1297, 1768, 2985, 1170, 27214, 1675, 19468, 1125, 1158, 2164, 7416, 4796, 1561, 8308, 1774, 18504, 1136, 1366, 1357, 4319, 172, 1170, 488, 129, 3201, 488, 125, 123, 125, 124, 1317, 7882, 1125, 25823, 1438, 28833, 1469, 1909, 488, 126, 126, 132, 13061, 1170, 1408, 2102, 1125, 1158, 2164, 7416, 1167, 3977, 21813, 1170, 1408, 2511, 9709, 13701, 20481, 3147, 488, 125, 123, 124, 129, 119, 1204, 10083, 1165, 2607, 3123, 5759, 2069, 26921, 1125, 2262, 1235, 3732, 1141, 1468, 109, 1175, 124, 1186, 3856, 116, 1571, 13584, 1201, 1125, 1252, 2171, 2694, 1107, 180, 1125, 3335, 177, 12172, 21156, 4060, 5759, 1844, 3011, 1188, 4421, 1125, 1158, 5971, 8580, 9114, 18009, 1571, 1539, 2694, 1201, 1125, 1282, 5395, 30404, 7372, 163, 2315, 1125, 3281, 6488, 1992, 3693, 1186, 6500, 1189, 2879, 2750, 1158, 5759, 1125, 1158, 5971, 8580, 9114, 18009, 2585, 1170, 20873, 1125, 3335, 177, 12172, 1438, 3031, 1186, 17985, 1469, 3977, 1125, 3281, 6488, 1992, 3693, 1204, 10083, 1165, 2607, 3123, 1805, 7726, 1125, 21749, 2069, 1113, 2558, 173, 2707, 1188, 3335, 177, 12172, 7664, 1313, 1282, 11900, 1125, 19410, 1107, 1561, 2164, 7416, 1186, 488, 124, 123, 8793, 1548, 1204, 10083, 2499, 2215, 1345, 1299, 1318, 3451, 1711, 8539, 1214, 1167, 1469, 1318, 16559, 20319, 21731, 1215, 3598, 1571, 2069, 7790, 1113, 2558, 173, 2707, 1125, 1158, 5971, 10803, 4971, 1110, 4319, 244, 1186, 488, 125, 123, 124, 132, 121, 1548, 27214, 1110, 1913, 3902, 1188, 12436, 7542, 29595, 488, 125, 123, 125, 123, 1167, 28692, 1186, 488, 125, 123, 125, 124, 25886, 21198, 2359, 1204, 10083, 2499, 2215, 1345, 9924, 1125, 3171, 5736, 2487, 8623, 2029, 23651, 1301, 2565, 5194, 9709, 9036, 1132, 5666, 3615, 172, 1145, 1810, 1166, 6381, 12361, 14123, 1125, 13262, 2357, 2429, 1662, 9468, 14123, 1125, 22492, 1278, 1260, 2029, 9709, 15945, 3125, 1711, 8539, 180, 1215, 3598, 1571, 2069, 7790, 26921, 3317, 1408, 2511, 9709, 1256, 1207, 1931, 9715, 1227, 1606, 1671, 20042, 7879, 1524, 1125, 2797, 1158, 2164, 1190, 3212, 1408, 1125, 488, 126, 488, 125, 123, 123, 1127, 1734, 7743, 2487, 1170, 13587, 488, 125, 123, 12462, 17934, 11488, 1167, 16828, 5825, 1424, 10050, 1903, 1968, 1150, 1780, 1371, 121, 1123, 122, 1123, 120, 1123, 122, 1428, 1434, 1992, 26945, 3926, 11986, 1374, 15964, 28437, 180, 4853, 172, 3926, 11986, 1374, 15964, 6460, 142, 21930, 1342, 1788, 21447, 5340, 26093, 1903, 1968, 2607, 1374, 1457, 20457, 1885, 120, 20457, 8682, 7583, 3046, 10083, 19072, 1342, 4505, 120, 2524, 3926, 2607, 18049, 122, 6460, 142, 21930, 1342, 1788, 122, 1428, 11397, 3607, 27476, 1549, 176, 3041, 1141, 5340, 12662, 2558, 16081, 1125, 8308, 1774, 7201, 1125, 20901, 1720, 10083, 1165, 2607, 3123, 1875, 1342, 1229, 13826, 1188, 3335, 177, 12172, 1438, 2056, 13974, 17034, 1186, 488, 125, 123, 125, 123, 32001, 1424, 32000, 20036, 3616, 1204, 10083, 2499, 2215, 1345, 1239, 1110, 18598, 1439, 12917, 119, 7406, 1355, 1135, 1252, 2171, 2694, 1107, 180, 12917, 196, 3656, 1147, 3335, 177, 12172, 7664, 23569, 2238, 1204, 10083, 2499, 2215, 1345, 1583, 1280, 1135, 4823, 12917, 1161, 1135, 2499, 1141, 1468, 31199, 1663, 488, 124, 128, 2367, 1201, 8540, 2095, 2019, 18220, 4525, 16898, 1988, 7905, 1135, 9020, 10505, 1161, 1135, 12185, 1130, 1446, 2019, 18504, 7623, 18598, 1439, 1758, 5970, 1238, 6678, 488, 129, 119, 488, 125, 123, 125, 124, 1446, 4173, 174, 3015, 172, 13042, 488, 126, 126, 132, 2367, 2563, 1341, 1239, 1135, 30959, 1147, 1135, 12185, 1130, 1171, 8065, 1135, 10219, 21078, 4812, 10177, 7055, 3229, 488, 125, 123, 124, 129, 119, 1204, 10083, 10148, 1660, 1104, 19267, 2197, 1235, 3732, 1141, 1468, 109, 2262, 1492, 7164, 13298, 1151, 3856, 1226, 1110, 4823, 116, 1446, 1135, 1252, 2171, 2694, 1107, 180, 12917, 196, 3656, 1147, 3335, 177, 12172, 21156, 2192, 3264, 11179, 1135, 1704, 1226, 1135, 8580, 9114, 18009, 1936, 1355, 1135, 7372, 163, 2315, 12917, 196, 3656, 1147, 3281, 6488, 1992, 3693, 1296, 1110, 3677, 2470, 3264, 1149, 1135, 8580, 9114, 18009, 1936, 2468, 1135, 3335, 177, 12172, 1438, 12917, 196, 1379, 1463, 1417, 13925, 1324, 3281, 6488, 1992, 3693, 1204, 10083, 10148, 1660, 1104, 8071, 1163, 3264, 2197, 1492, 7164, 1147, 3335, 177, 12172, 7664, 1324, 1135, 8603, 1161, 2404, 18175, 2019, 12185, 1130, 1147, 488, 124, 123, 10805, 1410, 1204, 10083, 2499, 2215, 1345, 1239, 1151, 24472, 1700, 1156, 3451, 1324, 17114, 17178, 16559, 10688, 1163, 1135, 1940, 2197, 1492, 7164, 1161, 1135, 1936, 8273, 1376, 3467, 8492, 1147, 488, 125, 123, 124, 132, 121, 1410, 12917, 1463, 15763, 1147, 1135, 11717, 1161, 488, 125, 123, 125, 123, 1171, 18396, 1147, 488, 125, 123, 125, 124, 1388, 9588, 3972, 3616, 1204, 10083, 2499, 2215, 1345, 1602, 5057, 15703, 2695, 3813, 2938, 2439, 23651, 1301, 2565, 1530, 7214, 9036, 1132, 5457, 3615, 172, 1145, 1810, 1166, 6381, 12361, 18614, 2264, 2114, 2429, 1662, 9468, 11514, 14123, 1260, 2439, 24472, 1700, 1156, 4784, 5457, 10688, 1163, 1135, 1940, 2197, 1492, 7164, 2238, 10219, 4812, 1226, 23844, 20042, 7879, 109, 22211, 1147, 1135, 6782, 12185, 3174, 2060, 488, 126, 119, 125, 123, 123, 10804, 2367, 1201, 3813, 1135, 10153, 14874, 21184, 488, 125, 123, 1388, 1891, 9520, 7391, 6911, 14520, 1424, 10050, 1903, 1968, 1150, 1780, 1371, 121, 1123, 122, 1123, 120, 1123, 122, 1428, 1434, 1992, 26945, 3926, 11986, 1374, 15964, 28437, 180, 4853, 172, 3926, 11986, 1374, 15964, 6460, 142, 21930, 1342, 1788, 21447, 5340, 26093, 1903, 1968, 2607, 1374, 1457, 20457, 1885, 120, 20457, 8682, 7583, 3046, 10083, 19072, 1342, 4505, 120, 2524, 3926, 2607, 18049, 122, 6460, 142, 21930, 1342, 1788, 122, 1428, 11397, 3607, 27476, 1549, 176, 3041, 1141, 5340, 12498, 4000, 1439, 12917, 1628, 2840, 2220, 1720, 10083, 10148, 1660, 1104, 1628, 2840, 7406, 1147, 3335, 177, 12172, 1438, 1628, 2840, 15763, 1147, 488, 125, 123, 125, 123, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 1204, 10083, 2499, 2215, 1345, 1239, 1110, 18598, 1439, 12917, 119, 7406, 1355, 1135, 1252, 2171, 2694, 1107, 180, 12917, 196, 3656, 1147, 3335, 177, 12172, 7664, 23569, 2238, 1204, 10083, 2499, 2215, 1345, 1583, 1280, 1135, 4823, 12917, 1161, 1135, 2499, 1141, 1468, 31199, 1663, 488, 124, 128, 2367, 1201, 8540, 2095, 2019, 18220, 4525, 16898, 1988, 7905, 1135, 9020, 10505, 1161, 1135, 12185, 1130, 1446, 2019, 18504, 7623, 18598, 1439, 1758, 5970, 1238, 6678, 488, 129, 119, 488, 125, 123, 125, 124, 1446, 4173, 174, 3015, 172, 13042, 488, 126, 126, 132, 2367, 2563, 1341, 1239, 1135, 30959, 1147, 1135, 12185, 1130, 1171, 8065, 1135, 10219, 21078, 4812, 10177, 7055, 3229, 488, 125, 123, 124, 129, 119, 1204, 10083, 10148, 1660, 1104, 19267, 2197, 1235, 3732, 1141, 1468, 109, 2262, 1492, 7164, 13298, 1151, 3856, 1226, 1110, 4823, 116, 1446, 1135, 1252, 2171, 2694, 1107, 180, 12917, 196, 3656, 1147, 3335, 177, 12172, 21156, 2192, 3264, 11179, 1135, 1704, 1226, 1135, 8580, 9114, 18009, 1936, 1355, 1135, 7372, 163, 2315, 12917, 196, 3656, 1147, 3281, 6488, 1992, 3693, 1296, 1110, 3677, 2470, 3264, 1149, 1135, 8580, 9114, 18009, 1936, 2468, 1135, 3335, 177, 12172, 1438, 12917, 196, 1379, 1463, 1417, 13925, 1324, 3281, 6488, 1992, 3693, 1204, 10083, 10148, 1660, 1104, 8071, 1163, 3264, 2197, 1492, 7164, 1147, 3335, 177, 12172, 7664, 1324, 1135, 8603, 1161, 2404, 18175, 2019, 12185, 1130, 1147, 488, 124, 123, 10805, 1410, 1204, 10083, 2499, 2215, 1345, 1239, 1151, 24472, 1700, 1156, 3451, 1324, 17114, 17178, 16559, 10688, 1163, 1135, 1940, 2197, 1492, 7164, 1161, 1135, 1936, 8273, 1376, 3467, 8492, 1147, 488, 125, 123, 124, 132, 121, 1410, 12917, 1463, 15763, 1147, 1135, 11717, 1161, 488, 125, 123, 125, 123, 1171, 18396, 1147, 488, 125, 123, 125, 124, 1388, 9588, 3972, 3616, 1204, 10083, 2499, 2215, 1345, 1602, 5057, 15703, 2695, 3813, 2938, 2439, 23651, 1301, 2565, 1530, 7214, 9036, 1132, 5457, 3615, 172, 1145, 1810, 1166, 6381, 12361, 18614, 2264, 2114, 2429, 1662, 9468, 11514, 14123, 1260, 2439, 24472, 1700, 1156, 4784, 5457, 10688, 1163, 1135, 1940, 2197, 1492, 7164, 2238, 10219, 4812, 1226, 23844, 20042, 7879, 109, 22211, 1147, 1135, 6782, 12185, 3174, 2060, 488, 126, 119, 125, 123, 123, 10804, 2367, 1201, 3813, 1135, 10153, 14874, 21184, 488, 125, 123, 1388, 1891, 9520, 7391, 6911, 14520, 1424, 10050, 1903, 1968, 1150, 1780, 1371, 121, 1123, 122, 1123, 120, 1123, 122, 1428, 1434, 1992, 26945, 3926, 11986, 1374, 15964, 28437, 180, 4853, 172, 3926, 11986, 1374, 15964, 6460, 142, 21930, 1342, 1788, 21447, 5340, 26093, 1903, 1968, 2607, 1374, 1457, 20457, 1885, 120, 20457, 8682, 7583, 3046, 10083, 19072, 1342, 4505, 120, 2524, 3926, 2607, 18049, 122, 6460, 142, 21930, 1342, 1788, 122, 1428, 11397, 3607, 27476, 1549, 176, 3041, 1141, 5340, 12498, 4000, 1439, 12917, 1628, 2840, 2220, 1720, 10083, 10148, 1660, 1104, 1628, 2840, 7406, 1147, 3335, 177, 12172, 1438, 1628, 2840, 15763, 1147, 488, 125, 123, 125, 123, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 150, 1495, 1124, 1314, 17247, 16081, 11109, 4277, 14232, 1170, 488, 124, 123, 3012, 488, 124, 131, 129, 127, 1188, 24530, 1243, 1301, 1126, 1167, 31591, 1170, 488, 125, 125, 3012, 488, 124, 132, 127, 127, 1188, 31282, 1299, 1318, 14986, 2009, 1167, 21272, 3657, 13359, 1125, 20024, 14231, 1424, 153, 1303, 1317, 2257, 3176, 191, 1450, 1125, 24530, 1243, 1301, 1126, 1313, 1170, 13612, 2114, 2585, 1594, 9159, 1299, 1382, 1836, 8214, 1380, 3100, 27900, 1124, 1314, 11109, 1141, 1299, 1158, 5921, 1125, 30541, 17247, 16081, 3795, 1183, 1652, 1167, 1125, 31250, 11109, 1431, 121, 6218, 15722, 1110, 249, 185, 2357, 6410, 5523, 11109, 4277, 1299, 1189, 5690, 12671, 23837, 1736, 20447, 1793, 1125, 1158, 9485, 5761, 1161, 10066, 19625, 3450, 1110, 1844, 1909, 8787, 1188, 6353, 7726, 1352, 1366, 2567, 7993, 3898, 1107, 1317, 23168, 7362, 25167, 4780, 1188, 31282, 2648, 1317, 28093, 2333, 9168, 1188, 13793, 27670, 2585, 2399, 1299, 12752, 1125, 1158, 3385, 6403, 2009, 1125, 12103, 23303, 121, 3450, 18764, 14765, 1197, 10895, 9547, 1571, 2693, 1482, 1125, 8287, 11490, 1186, 488, 124, 131, 131, 130, 121, 2576, 1145, 5359, 1125, 26734, 2551, 2120, 6993, 1197, 7628, 13375, 1571, 23866, 1723, 1186, 488, 124, 132, 123, 130, 119, 2399, 18764, 1318, 16956, 1227, 2168, 21026, 9168, 1125, 26310, 1109, 1313, 1170, 4154, 1227, 5059, 4357, 2724, 186, 1128, 1158, 1331, 1346, 2585, 1207, 5247, 1357, 9442, 1844, 2770, 8787, 1313, 1197, 11454, 1104, 1256, 5247, 14609, 195, 7362, 1362, 1125, 26734, 28661, 7722, 1189, 19860, 1464, 1184, 1145, 14483, 14023, 189, 2339, 11109, 1141, 7354, 21794, 1278, 1125, 8287, 11490, 1188, 1266, 3604, 1149, 11320, 6815, 5761, 119, 2585, 1561, 25605, 10016, 11109, 1141, 14986, 1370, 2445, 121, 3450, 1299, 12752, 1125, 19732, 1197, 14590, 21860, 1104, 1186, 488, 124, 131, 132, 132, 120, 124, 132, 123, 123, 121, 3450, 21450, 1318, 19928, 4058, 1125, 2958, 1234, 2620, 1410, 10954, 1161, 1135, 20507, 1140, 8255, 119, 1469, 6927, 27554, 1706, 12677, 3378, 1167, 27254, 1189, 8536, 12198, 1188, 28093, 2333, 9168, 30079, 1299, 6711, 1227, 5809, 1227, 4966, 8006, 1161, 13303, 7010, 1201, 1357, 1844, 9625, 1256, 1158, 18048, 1197, 5247, 1313, 1207, 5809, 1297, 1653, 488, 124, 132, 123, 132, 119, 2399, 6728, 6106, 1188, 1594, 15722, 6410, 5523, 11109, 1141, 1317, 12033, 7993, 5341, 1227, 9485, 7580, 4252, 174, 6152, 7041, 1186, 488, 124, 132, 124, 126, 119, 2399, 11404, 1170, 1951, 26742, 12205, 1317, 5809, 121, 3450, 1299, 28262, 1234, 9438, 1227, 5809, 1186, 488, 124, 132, 124, 131, 120, 124, 132, 124, 132, 119, 1167, 9209, 1317, 5809, 22571, 488, 124, 132, 126, 127, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1299, 28262, 1234, 9438, 1227, 4622, 1519, 13362, 5158, 12055, 4252, 174, 6152, 20129, 1774, 12886, 1369, 1125, 1282, 15297, 1161, 4017, 13303, 4622, 1519, 2563, 1227, 12033, 23238, 5523, 1357, 3635, 1370, 1158, 11692, 1197, 23535, 1167, 1227, 12033, 1197, 1994, 17587, 1125, 25482, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1299, 28359, 5759, 1278, 1125, 5613, 26875, 14898, 3835, 15143, 116, 1186, 488, 124, 132, 126, 126, 121, 3450, 19859, 1188, 1594, 8260, 7056, 488, 126, 127, 16176, 1887, 31947, 1518, 1462, 19524, 7129, 10569, 119, 1188, 31282, 1170, 488, 125, 125, 3012, 488, 124, 132, 127, 127, 24890, 7364, 5825, 1424, 1424, 1424, 30738, 1740, 8992, 1277, 14898, 5526, 24116, 1125, 28093, 2333, 9168, 5526, 24116, 1125, 23168, 7362, 9168, 1628, 1148, 2724, 186, 1128, 1158, 23739, 8156, 1186, 3012, 488, 124, 131, 129, 127, 8156, 1313, 1170, 13612, 1105, 9317, 1186, 3012, 488, 124, 132, 127, 127, 9317, 9317, 1188, 488, 131, 123, 2165, 114, 32001, 1424, 32000, 20036, 6975, 1495, 1124, 1314, 17247, 16081, 11109, 4277, 9204, 1238, 6674, 488, 124, 123, 119, 488, 124, 131, 129, 127, 1147, 24530, 1243, 1301, 1126, 1171, 12743, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 127, 127, 1147, 24349, 1463, 1110, 16920, 1171, 3447, 7468, 8017, 1147, 9485, 9663, 180, 11114, 2056, 2589, 1355, 1135, 11852, 1696, 1147, 24530, 1243, 1301, 3476, 13612, 2114, 2468, 2067, 11432, 1463, 1151, 6188, 1380, 1119, 30620, 119, 27900, 1124, 1314, 11109, 1141, 1463, 1135, 15538, 1161, 30541, 17247, 16081, 3795, 1183, 1652, 1171, 31250, 11109, 1431, 121, 6767, 15073, 3343, 21453, 6410, 5523, 11109, 4277, 1463, 1110, 3056, 5690, 25188, 1171, 1736, 2874, 14972, 1161, 1135, 9485, 5761, 1161, 10066, 19625, 3676, 21605, 1355, 6353, 7726, 1352, 1366, 2979, 31261, 23168, 7362, 9168, 1147, 24349, 1171, 2491, 28093, 2333, 9168, 1355, 13793, 27670, 2468, 2293, 1463, 10283, 1161, 1135, 23303, 1135, 4500, 2129, 23631, 3676, 6971, 1704, 1161, 1135, 11851, 24247, 1147, 1135, 2406, 23652, 3750, 2693, 1482, 1147, 488, 124, 131, 131, 130, 121, 14256, 1135, 4017, 1161, 26734, 2876, 1375, 9541, 20563, 1163, 30840, 1147, 488, 124, 132, 123, 130, 2293, 6971, 1110, 10608, 1361, 10375, 1446, 2168, 21026, 9168, 26310, 1109, 2488, 1135, 4357, 2724, 186, 1128, 26279, 1429, 24567, 1758, 8304, 5718, 2000, 2055, 21605, 1355, 22615, 13017, 3967, 1147, 21967, 1329, 26734, 1163, 8299, 1110, 10375, 1464, 1184, 1145, 14483, 14023, 189, 2339, 11109, 1141, 7905, 1110, 2406, 23652, 3750, 16920, 1355, 1266, 3604, 1149, 11320, 6815, 5761, 119, 2468, 2067, 17969, 10016, 11109, 1141, 1959, 20160, 121, 3676, 11462, 1296, 10283, 1161, 1135, 9756, 1161, 25947, 2769, 3006, 2314, 1147, 488, 124, 131, 132, 132, 120, 124, 132, 123, 123, 121, 3676, 8226, 1110, 21975, 1857, 19928, 13395, 1410, 10954, 1161, 1135, 20507, 1140, 8255, 1324, 6927, 27554, 1706, 12677, 3378, 1171, 7368, 1151, 9533, 3620, 1355, 28093, 2333, 9168, 7745, 1122, 1463, 1110, 6644, 1161, 1135, 23578, 1161, 1135, 4966, 8006, 1161, 13303, 7010, 2563, 1758, 3577, 172, 5785, 1226, 22615, 16632, 1238, 23578, 1297, 1459, 488, 124, 132, 123, 132, 119, 2293, 20369, 1156, 2067, 18021, 6410, 5523, 11109, 1141, 1238, 1135, 9485, 7580, 9404, 9247, 1497, 5729, 1965, 1171, 1147, 488, 124, 132, 124, 126, 119, 2293, 16169, 1135, 1951, 26742, 12205, 1238, 1135, 23578, 121, 3676, 11462, 1296, 12497, 9037, 1491, 1161, 1135, 23578, 1147, 488, 124, 132, 124, 131, 120, 124, 132, 124, 132, 119, 1171, 20642, 1238, 1135, 23578, 4945, 488, 124, 132, 126, 127, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1463, 12497, 9037, 1491, 1161, 1135, 4622, 1519, 13362, 5158, 12055, 4252, 174, 6152, 12886, 1626, 5582, 1141, 4411, 1161, 1135, 9756, 1161, 4017, 13303, 4622, 1519, 2563, 1135, 23238, 5523, 12358, 1758, 2142, 5724, 13362, 2894, 1694, 12043, 1171, 1135, 3559, 184, 11549, 2855, 1701, 12358, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1463, 22951, 13537, 1107, 1161, 1135, 14545, 1161, 1135, 9324, 26344, 3835, 15143, 116, 1147, 488, 124, 132, 126, 126, 121, 3676, 8576, 5064, 1355, 2067, 18492, 488, 126, 127, 16176, 1887, 31947, 1518, 1462, 19524, 7129, 10569, 119, 24349, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 127, 127, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 6975, 1495, 1124, 1314, 17247, 16081, 11109, 4277, 9204, 1238, 6674, 488, 124, 123, 119, 488, 124, 131, 129, 127, 1147, 24530, 1243, 1301, 1126, 1171, 12743, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 127, 127, 1147, 24349, 1463, 1110, 16920, 1171, 3447, 7468, 8017, 1147, 9485, 9663, 180, 11114, 2056, 2589, 1355, 1135, 11852, 1696, 1147, 24530, 1243, 1301, 3476, 13612, 2114, 2468, 2067, 11432, 1463, 1151, 6188, 1380, 1119, 30620, 119, 27900, 1124, 1314, 11109, 1141, 1463, 1135, 15538, 1161, 30541, 17247, 16081, 3795, 1183, 1652, 1171, 31250, 11109, 1431, 121, 6767, 15073, 3343, 21453, 6410, 5523, 11109, 4277, 1463, 1110, 3056, 5690, 25188, 1171, 1736, 2874, 14972, 1161, 1135, 9485, 5761, 1161, 10066, 19625, 3676, 21605, 1355, 6353, 7726, 1352, 1366, 2979, 31261, 23168, 7362, 9168, 1147, 24349, 1171, 2491, 28093, 2333, 9168, 1355, 13793, 27670, 2468, 2293, 1463, 10283, 1161, 1135, 23303, 1135, 4500, 2129, 23631, 3676, 6971, 1704, 1161, 1135, 11851, 24247, 1147, 1135, 2406, 23652, 3750, 2693, 1482, 1147, 488, 124, 131, 131, 130, 121, 14256, 1135, 4017, 1161, 26734, 2876, 1375, 9541, 20563, 1163, 30840, 1147, 488, 124, 132, 123, 130, 2293, 6971, 1110, 10608, 1361, 10375, 1446, 2168, 21026, 9168, 26310, 1109, 2488, 1135, 4357, 2724, 186, 1128, 26279, 1429, 24567, 1758, 8304, 5718, 2000, 2055, 21605, 1355, 22615, 13017, 3967, 1147, 21967, 1329, 26734, 1163, 8299, 1110, 10375, 1464, 1184, 1145, 14483, 14023, 189, 2339, 11109, 1141, 7905, 1110, 2406, 23652, 3750, 16920, 1355, 1266, 3604, 1149, 11320, 6815, 5761, 119, 2468, 2067, 17969, 10016, 11109, 1141, 1959, 20160, 121, 3676, 11462, 1296, 10283, 1161, 1135, 9756, 1161, 25947, 2769, 3006, 2314, 1147, 488, 124, 131, 132, 132, 120, 124, 132, 123, 123, 121, 3676, 8226, 1110, 21975, 1857, 19928, 13395, 1410, 10954, 1161, 1135, 20507, 1140, 8255, 1324, 6927, 27554, 1706, 12677, 3378, 1171, 7368, 1151, 9533, 3620, 1355, 28093, 2333, 9168, 7745, 1122, 1463, 1110, 6644, 1161, 1135, 23578, 1161, 1135, 4966, 8006, 1161, 13303, 7010, 2563, 1758, 3577, 172, 5785, 1226, 22615, 16632, 1238, 23578, 1297, 1459, 488, 124, 132, 123, 132, 119, 2293, 20369, 1156, 2067, 18021, 6410, 5523, 11109, 1141, 1238, 1135, 9485, 7580, 9404, 9247, 1497, 5729, 1965, 1171, 1147, 488, 124, 132, 124, 126, 119, 2293, 16169, 1135, 1951, 26742, 12205, 1238, 1135, 23578, 121, 3676, 11462, 1296, 12497, 9037, 1491, 1161, 1135, 23578, 1147, 488, 124, 132, 124, 131, 120, 124, 132, 124, 132, 119, 1171, 20642, 1238, 1135, 23578, 4945, 488, 124, 132, 126, 127, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1463, 12497, 9037, 1491, 1161, 1135, 4622, 1519, 13362, 5158, 12055, 4252, 174, 6152, 12886, 1626, 5582, 1141, 4411, 1161, 1135, 9756, 1161, 4017, 13303, 4622, 1519, 2563, 1135, 23238, 5523, 12358, 1758, 2142, 5724, 13362, 2894, 1694, 12043, 1171, 1135, 3559, 184, 11549, 2855, 1701, 12358, 1388, 150, 1495, 1124, 1314, 11109, 1141, 1463, 22951, 13537, 1107, 1161, 1135, 14545, 1161, 1135, 9324, 26344, 3835, 15143, 116, 1147, 488, 124, 132, 126, 126, 121, 3676, 8576, 5064, 1355, 2067, 18492, 488, 126, 127, 16176, 1887, 31947, 1518, 1462, 19524, 7129, 10569, 119, 24349, 1238, 6674, 488, 125, 125, 119, 488, 124, 132, 127, 127, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 18823, 2144, 1440, 6092, 1186, 9400, 1257, 1424, 114, 6880, 11363, 20787, 178, 1670, 7216, 1859, 12891, 1692, 1606, 488, 11363, 9186, 15198, 1299, 1318, 488, 11363, 1125, 1158, 4592, 1125, 1202, 9267, 1121, 1810, 10019, 1188, 21204, 1125, 1158, 1138, 9312, 1125, 1518, 3004, 250, 187, 2759, 196, 3435, 8281, 1277, 1167, 1754, 1150, 6196, 23684, 4946, 488, 124, 131, 19185, 1125, 2102, 1256, 1318, 30189, 8468, 1125, 488, 131, 123, 123, 23882, 25869, 30287, 1303, 20449, 13469, 1188, 18762, 7965, 2399, 1299, 20669, 1303, 1188, 3219, 8840, 2035, 1837, 1125, 3171, 20403, 1408, 4170, 1346, 23684, 7546, 1196, 250, 5877, 1317, 8030, 1167, 1207, 20403, 17089, 13072, 250, 2397, 1140, 1108, 2298, 1167, 1204, 2930, 2397, 1140, 1108, 2298, 1317, 1335, 5242, 2008, 20403, 1508, 1158, 14773, 1162, 2519, 2076, 5197, 28353, 1314, 10803, 19441, 7758, 1125, 23684, 20787, 178, 1670, 4249, 2328, 2009, 1309, 1125, 488, 131, 19185, 1227, 2455, 4364, 2576, 11363, 17904, 9533, 1160, 1317, 10750, 23169, 1125, 1266, 1538, 1630, 190, 2620, 6113, 1197, 13334, 1486, 178, 1125, 1282, 1383, 9171, 17194, 16314, 1475, 1785, 182, 1317, 8030, 1125, 1158, 14512, 18726, 11363, 1288, 3233, 1382, 1823, 30996, 1277, 1469, 5610, 20403, 1300, 185, 2508, 1473, 1606, 20787, 178, 1670, 3133, 2487, 14765, 1299, 2445, 10019, 1313, 1158, 4592, 1125, 4173, 1610, 1313, 1318, 1138, 9312, 1317, 18762, 1182, 1125, 10335, 1259, 1651, 1662, 182, 3004, 1167, 14974, 1186, 3091, 1819, 4654, 2576, 11363, 1222, 2461, 2443, 3031, 22645, 5943, 17874, 2290, 1170, 1874, 1304, 11363, 20481, 22066, 16766, 1121, 1793, 4357, 20196, 1204, 2930, 6095, 1314, 18532, 1189, 6273, 1188, 3862, 1125, 23684, 20787, 178, 1670, 1186, 488, 124, 130, 126, 129, 120, 124, 130, 126, 130, 121, 12932, 26921, 3647, 1129, 1816, 2217, 21163, 119, 1170, 1202, 1444, 196, 4021, 244, 1215, 1204, 2930, 6095, 1314, 1167, 1170, 1352, 3521, 17345, 4021, 244, 1215, 1170, 25468, 7132, 176, 250, 8755, 1157, 1128, 21632, 6982, 2782, 6662, 244, 10575, 1313, 1158, 4592, 1125, 1518, 5834, 3042, 2205, 2680, 2034, 3955, 3342, 1281, 12495, 1129, 1186, 4595, 1227, 1185, 1172, 3849, 1125, 1282, 2744, 13699, 2930, 6095, 1314, 31764, 1197, 9547, 1300, 1909, 15342, 19881, 1300, 1158, 20707, 19534, 1960, 15393, 2743, 1186, 3828, 3247, 1147, 16766, 1121, 3798, 4466, 15342, 2435, 7039, 1125, 10259, 1107, 1158, 3453, 5963, 18891, 14061, 1197, 4480, 1883, 19534, 2635, 1835, 1158, 1202, 9267, 10831, 1167, 1282, 2744, 11488, 1167, 20117, 20544, 11052, 1424, 1202, 8896, 1227, 6973, 30967, 106, 4357, 20196, 1204, 2930, 6095, 27947, 9670, 3801, 13219, 23982, 1197, 1266, 1538, 243, 1634, 1104, 7364, 5825, 1424, 488, 13075, 1306, 1573, 1972, 8713, 28649, 18246, 1310, 13745, 4078, 488, 124, 131, 132, 128, 106, 488, 14404, 4521, 106, 488, 20288, 1176, 1173, 1263, 16477, 1651, 1175, 1232, 1650, 1125, 1158, 7676, 22453, 15393, 1496, 14289, 1266, 10646, 17081, 1201, 1171, 4189, 16027, 13745, 4078, 1147, 20339, 18846, 1155, 488, 9207, 24857, 3032, 1992, 15151, 1410, 14289, 18552, 13235, 1198, 1246, 3656, 20070, 1171, 1135, 18246, 1310, 1147, 1135, 16406, 1192, 3967, 1175, 1845, 488, 124, 128, 123, 123, 1576, 1410, 4950, 18868, 1926, 9675, 1194, 138, 143, 1172, 178, 1670, 1763, 1172, 178, 1670, 2911, 22857, 1125, 1158, 1266, 1538, 1630, 190, 1214, 114, 32001, 1424, 32000, 20036, 3616, 20787, 178, 1670, 9641, 7958, 2177, 1641, 1235, 8589, 13798, 3107, 1239, 1151, 13798, 1147, 1135, 1202, 1727, 10831, 2499, 1810, 8452, 19718, 1161, 1135, 1518, 3004, 1461, 1506, 7490, 9560, 121, 8281, 1171, 21437, 119, 1135, 13798, 14365, 488, 124, 131, 12851, 4209, 1147, 4577, 1324, 1151, 8767, 6638, 1161, 488, 131, 123, 123, 2367, 2996, 30287, 1156, 1446, 10537, 14654, 1163, 7080, 22629, 119, 1341, 1239, 12035, 1156, 1355, 2483, 2283, 1449, 5057, 13830, 13798, 1285, 1324, 7546, 1196, 250, 5877, 9641, 1163, 1135, 10537, 1171, 17089, 13072, 250, 2397, 1140, 1108, 2298, 1171, 1204, 2930, 2397, 1140, 1108, 2298, 31812, 1163, 1135, 10553, 119, 2484, 13798, 190, 1393, 1151, 9210, 1161, 1135, 2994, 2670, 16909, 5197, 6043, 23763, 15905, 1161, 20787, 178, 1670, 9641, 1239, 2155, 488, 131, 12851, 4209, 5064, 1446, 1135, 2274, 2621, 121, 1410, 13798, 1239, 5165, 8152, 1910, 1161, 1135, 1266, 1108, 2298, 3698, 3007, 1212, 12649, 119, 1704, 1161, 1135, 13334, 28787, 190, 1161, 1135, 1922, 16314, 1475, 1785, 182, 1350, 2014, 1573, 1147, 24986, 18846, 6043, 13798, 2389, 1375, 1280, 1776, 5795, 1324, 2017, 13798, 190, 26475, 185, 5417, 7419, 1172, 178, 1670, 1523, 1704, 1161, 1758, 1239, 1959, 8452, 1147, 1135, 4173, 1610, 20461, 1147, 1110, 1138, 1242, 7080, 22629, 1161, 10335, 1259, 1651, 1662, 182, 3004, 1171, 1135, 2017, 1147, 1518, 1532, 1333, 2036, 1222, 1757, 2443, 9641, 1463, 12912, 5388, 1296, 20787, 178, 1670, 9641, 10177, 7055, 7391, 1291, 4420, 4357, 20196, 1204, 2930, 6095, 1314, 4468, 2565, 1156, 1238, 1110, 6273, 1446, 20787, 178, 1670, 9641, 1147, 488, 124, 130, 126, 129, 120, 124, 130, 126, 130, 121, 12409, 1492, 7164, 3062, 1806, 1413, 2217, 29498, 119, 1135, 1202, 1444, 196, 4021, 1156, 1449, 1204, 2930, 6095, 1314, 1171, 1135, 1352, 3521, 17345, 4021, 1156, 1449, 27796, 7132, 176, 250, 8755, 1157, 1128, 21632, 6226, 25954, 1135, 12529, 1269, 22131, 1518, 5834, 2499, 1810, 1799, 29229, 9668, 1135, 4032, 1293, 14816, 13699, 2930, 6095, 1314, 5868, 9547, 1238, 1765, 15342, 1161, 1135, 21089, 21777, 1291, 4361, 14289, 18246, 1310, 16200, 121, 5375, 15342, 8304, 2667, 1163, 3630, 1135, 1940, 17986, 22271, 5065, 1161, 1135, 18246, 1310, 16200, 190, 2910, 1135, 1202, 1727, 10831, 1171, 1135, 4032, 2811, 2094, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3616, 20787, 178, 1670, 9641, 7958, 2177, 1641, 1235, 8589, 13798, 3107, 1239, 1151, 13798, 1147, 1135, 1202, 1727, 10831, 2499, 1810, 8452, 19718, 1161, 1135, 1518, 3004, 1461, 1506, 7490, 9560, 121, 8281, 1171, 21437, 119, 1135, 13798, 14365, 488, 124, 131, 12851, 4209, 1147, 4577, 1324, 1151, 8767, 6638, 1161, 488, 131, 123, 123, 2367, 2996, 30287, 1156, 1446, 10537, 14654, 1163, 7080, 22629, 119, 1341, 1239, 12035, 1156, 1355, 2483, 2283, 1449, 5057, 13830, 13798, 1285, 1324, 7546, 1196, 250, 5877, 9641, 1163, 1135, 10537, 1171, 17089, 13072, 250, 2397, 1140, 1108, 2298, 1171, 1204, 2930, 2397, 1140, 1108, 2298, 31812, 1163, 1135, 10553, 119, 2484, 13798, 190, 1393, 1151, 9210, 1161, 1135, 2994, 2670, 16909, 5197, 6043, 23763, 15905, 1161, 20787, 178, 1670, 9641, 1239, 2155, 488, 131, 12851, 4209, 5064, 1446, 1135, 2274, 2621, 121, 1410, 13798, 1239, 5165, 8152, 1910, 1161, 1135, 1266, 1108, 2298, 3698, 3007, 1212, 12649, 119, 1704, 1161, 1135, 13334, 28787, 190, 1161, 1135, 1922, 16314, 1475, 1785, 182, 1350, 2014, 1573, 1147, 24986, 18846, 6043, 13798, 2389, 1375, 1280, 1776, 5795, 1324, 2017, 13798, 190, 26475, 185, 5417, 7419, 1172, 178, 1670, 1523, 1704, 1161, 1758, 1239, 1959, 8452, 1147, 1135, 4173, 1610, 20461, 1147, 1110, 1138, 1242, 7080, 22629, 1161, 10335, 1259, 1651, 1662, 182, 3004, 1171, 1135, 2017, 1147, 1518, 1532, 1333, 2036, 1222, 1757, 2443, 9641, 1463, 12912, 5388, 1296, 20787, 178, 1670, 9641, 10177, 7055, 7391, 1291, 4420, 4357, 20196, 1204, 2930, 6095, 1314, 4468, 2565, 1156, 1238, 1110, 6273, 1446, 20787, 178, 1670, 9641, 1147, 488, 124, 130, 126, 129, 120, 124, 130, 126, 130, 121, 12409, 1492, 7164, 3062, 1806, 1413, 2217, 29498, 119, 1135, 1202, 1444, 196, 4021, 1156, 1449, 1204, 2930, 6095, 1314, 1171, 1135, 1352, 3521, 17345, 4021, 1156, 1449, 27796, 7132, 176, 250, 8755, 1157, 1128, 21632, 6226, 25954, 1135, 12529, 1269, 22131, 1518, 5834, 2499, 1810, 1799, 29229, 9668, 1135, 4032, 1293, 14816, 13699, 2930, 6095, 1314, 5868, 9547, 1238, 1765, 15342, 1161, 1135, 21089, 21777, 1291, 4361, 14289, 18246, 1310, 16200, 121, 5375, 15342, 8304, 2667, 1163, 3630, 1135, 1940, 17986, 22271, 5065, 1161, 1135, 18246, 1310, 16200, 190, 2910, 1135, 1202, 1727, 10831, 1171, 1135, 4032, 2811, 2094, 121, 32001, 1424, 2 ]