Datasets:

danieladeeko

/

arxiv_keywords_labeled

like 0

[ 101, 107, 19909, 3554, 117, 170, 3014, 1105, 3903, 1236, 1106, 2669, 1996, 18250, 6379, 117, 1144, 1521, 1106, 170, 1295, 1104, 7757, 20607, 14792, 1105, 19897, 1242, 2793, 10093, 11041, 119, 1438, 117, 1103, 7275, 1206, 3968, 3554, 112, 188, 2013, 1105, 1107, 16792, 12877, 117, 2234, 1496, 1106, 14441, 6328, 19069, 117, 1144, 3494, 1915, 1223, 118, 12503, 119, 1130, 1142, 1250, 117, 1195, 1148, 7893, 1566, 3968, 3554, 1112, 170, 14441, 1895, 22519, 1104, 1199, 1523, 2227, 7898, 2235, 117, 2020, 1106, 170, 4044, 2458, 1104, 17816, 6303, 1105, 12619, 1748, 10093, 3622, 119, 1599, 117, 1195, 8698, 113, 17325, 114, 19351, 118, 7378, 3968, 3554, 18250, 6379, 117, 2133, 1107, 16792, 7275, 1195, 1132, 1682, 1106, 5708, 1959, 3708, 119, 2586, 18791, 7088, 7257, 2716, 117, 1195, 1437, 1115, 1412, 3000, 4929, 1104, 1103, 1107, 16792, 7275, 1169, 1129, 1215, 1106, 2366, 3708, 1103, 2530, 3968, 3554, 2013, 7649, 117, 3694, 1107, 1126, 165, 9712, 7880, 196, 14077, 198, 1654, 1104, 1103, 7275, 119, 3458, 3442, 1110, 1112, 3014, 1105, 7856, 1112, 2530, 3968, 3554, 119, 1284, 1748, 5424, 1103, 3105, 22379, 1113, 1103, 2445, 1107, 10893, 1496, 1106, 19351, 118, 7378, 2734, 117, 5594, 3553, 1104, 7758, 23190, 1115, 19351, 118, 7378, 3708, 3253, 119, 28009, 1116, 1113, 1210, 3077, 5393, 6757, 8519, 2233, 27948, 10541, 1115, 7914, 1103, 1107, 16792, 7275, 1169, 5750, 4607, 1103, 2099, 10887, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 4337, 1122, 1108, 2475, 1115, 1593, 1620, 110, 1104, 1103, 3367, 1104, 1103, 9121, 12621, 1107, 2940, 119, 1986, 117, 1107, 1103, 1214, 1539, 117, 1216, 2940, 113, 1105, 2504, 3245, 114, 1132, 1227, 1106, 3300, 1111, 1178, 199, 122, 110, 1157, 3367, 119, 1109, 2735, 3367, 1104, 1103, 9121, 1110, 1354, 1106, 14487, 1107, 2633, 2927, 15136, 1116, 113, 199, 124, 110, 114, 117, 2504, 1843, 2187, 113, 199, 1476, 110, 114, 1105, 1843, 2308, 113, 199, 5046, 110, 114, 119, 1109, 1675, 2526, 10749, 1103, 7243, 1104, 1412, 2422, 1164, 1103, 3476, 1104, 1103, 9121, 1219, 1103, 157, 10781, 24115, 5944, 117, 1114, 1957, 7569, 1113, 1103, 1104, 1103, 6004, 1104, 2504, 1843, 2187, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0 ]

[ 101, 107, 138, 22214, 22964, 118, 143, 3556, 2007, 6348, 118, 27453, 5521, 1182, 1126, 28027, 1584, 1111, 156, 2591, 113, 124, 114, 8772, 118, 7784, 1110, 10788, 119, 1109, 7671, 4521, 1768, 11838, 1132, 13785, 1111, 1157, 23565, 18311, 11006, 28021, 1891, 119, 1622, 1292, 7995, 1122, 1110, 1936, 1106, 9410, 170, 14255, 24110, 2129, 1664, 118, 1231, 16236, 23936, 1596, 3209, 1215, 1106, 2025, 2302, 186, 6718, 4661, 11357, 119, 1109, 2628, 188, 26426, 1611, 23577, 1116, 1103, 6700, 188, 26426, 1611, 1114, 1126, 7353, 1104, 1750, 1190, 124, 110, 1111, 11967, 23772, 1105, 122, 110, 1111, 3248, 23772, 119, 9841, 117, 1103, 3055, 2751, 1207, 11967, 23772, 2231, 1169, 1129, 170, 14566, 3702, 9216, 1107, 1103, 188, 26426, 1611, 117, 3709, 1103, 1269, 1634, 1104, 13218, 119, 1109, 5837, 11927, 1596, 9346, 1437, 1363, 3311, 1114, 1103, 2793, 12307, 119, 1109, 11967, 23772, 1105, 3248, 23772, 142, 1475, 19805, 26829, 9346, 1116, 1132, 3254, 18505, 1105, 3402, 1114, 1103, 6700, 4718, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1188, 2526, 4856, 170, 2775, 118, 6842, 1664, 118, 3796, 6777, 1104, 2551, 118, 7758, 26258, 6379, 4721, 1104, 1572, 3254, 17482, 11664, 117, 7544, 4000, 1115, 1103, 1512, 118, 3254, 17482, 6579, 26258, 2443, 1276, 1118, 12450, 1107, 2668, 1110, 17307, 119, 1249, 170, 1884, 10747, 3113, 117, 1195, 6268, 1115, 1103, 1853, 118, 3254, 17482, 6579, 2443, 1276, 1118, 160, 27843, 1399, 1107, 2540, 1110, 17307, 1165, 26258, 1995, 22743, 119, 1188, 15336, 1103, 1160, 10471, 1501, 12409, 1104, 1103, 17307, 2060, 26258, 2443, 2463, 117, 1134, 1138, 1151, 1501, 1290, 1103, 2686, 1104, 12450, 1105, 148, 12251, 1324, 1121, 2678, 15975, 17307, 1785, 1111, 26258, 6379, 1104, 1146, 1106, 2022, 22743, 119, 1109, 6777, 6808, 170, 4612, 1104, 1160, 3442, 20941, 131, 1141, 1359, 1113, 19685, 1158, 1103, 15569, 1104, 188, 17162, 11006, 3377, 1107, 26258, 6379, 117, 1105, 1103, 1168, 117, 1359, 1113, 1126, 18922, 1104, 1103, 2463, 1106, 1115, 1104, 2068, 1548, 18771, 5474, 1104, 21133, 1348, 8738, 119, 1284, 20873, 1115, 117, 1229, 1296, 1104, 1292, 1169, 1423, 3541, 9474, 2964, 12409, 1104, 1103, 2463, 117, 1122, 1110, 1147, 4612, 1134, 4501, 1106, 1126, 7856, 5072, 1111, 2551, 22743, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 155, 16339, 1916, 4672, 2940, 1120, 109, 163, 134, 1275, 167, 196, 118, 129, 198, 109, 1105, 109, 1275, 167, 196, 118, 126, 198, 109, 3857, 170, 1632, 1226, 1104, 1147, 3288, 3367, 1194, 21371, 7390, 119, 1109, 5297, 5239, 1104, 1103, 9967, 2716, 9927, 7390, 1104, 1304, 1822, 109, 163, 109, 2940, 1110, 1304, 15404, 119, 1109, 7390, 1437, 1415, 140, 2249, 2346, 11778, 4385, 1118, 5320, 1104, 109, 1275, 167, 124, 109, 1106, 109, 1275, 167, 128, 109, 117, 1487, 1114, 1415, 10116, 1279, 1104, 109, 167, 196, 1492, 198, 109, 140, 1105, 109, 167, 196, 1542, 198, 109, 152, 1105, 8828, 7919, 1104, 11896, 1105, 2586, 119, 1109, 10116, 1279, 1104, 2425, 151, 1132, 2521, 8261, 119, 1332, 1292, 174, 16811, 1161, 1121, 1103, 9967, 2716, 9927, 7390, 1132, 4267, 25937, 1174, 1114, 1103, 7688, 14570, 174, 16811, 1161, 1121, 1103, 7671, 18732, 4160, 1116, 117, 1195, 1525, 164, 140, 120, 11907, 166, 117, 164, 151, 120, 11907, 166, 117, 164, 152, 120, 11907, 166, 15569, 24576, 1304, 1861, 1106, 1343, 4379, 1107, 1103, 140, 118, 118, 3987, 4450, 2720, 2869, 2940, 113, 9855, 12347, 114, 119, 1284, 1437, 1115, 14362, 14731, 2064, 2940, 1105, 14362, 4672, 2940, 1138, 1164, 1103, 1269, 3154, 1113, 1103, 140, 2249, 2346, 11778, 4385, 119, 8158, 7807, 21949, 1104, 188, 118, 1965, 3050, 1105, 1103, 109, 167, 196, 1367, 198, 109, 140, 120, 109, 167, 196, 1492, 198, 109, 140, 6022, 1180, 1494, 1366, 1106, 10706, 1206, 5353, 1121, 14731, 2064, 1105, 4672, 2940, 119, 1212, 1103, 2006, 117, 1195, 19291, 1103, 7065, 3154, 1104, 9967, 1111, 1103, 5297, 17376, 1104, 4450, 2720, 2869, 2940, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 1177, 1233, 12598, 8040, 1830, 3213, 1104, 170, 1372, 186, 27280, 9387, 1293, 1218, 118, 17325, 1181, 1103, 1372, 1110, 1118, 1157, 10996, 1177, 1233, 12598, 186, 11848, 20760, 2145, 119, 1130, 1142, 3805, 1195, 1675, 170, 1207, 27419, 1104, 185, 23415, 3457, 1665, 8031, 2114, 1134, 1132, 9024, 11437, 1233, 11439, 3452, 119, 1337, 1110, 117, 1195, 1437, 1115, 170, 1372, 1144, 1177, 1233, 12598, 8040, 1830, 3213, 1134, 1110, 1120, 1211, 19068, 1107, 109, 165, 9366, 113, 183, 114, 109, 1191, 1105, 1178, 1191, 1103, 1372, 1110, 185, 23415, 3457, 1665, 8031, 1105, 9024, 11437, 1233, 11439, 3452, 119, 1284, 1145, 1660, 1207, 2686, 6995, 26403, 27182, 7779, 2473, 2114, 1118, 11437, 1233, 11439, 3452, 186, 11848, 20760, 2145, 119, 1249, 170, 9547, 1104, 1142, 117, 1195, 5424, 1115, 170, 2379, 1295, 109, 140, 109, 5903, 1177, 1115, 1251, 1664, 19091, 22319, 5290, 1104, 1103, 109, 140, 1377, 109, 24438, 1858, 1104, 1103, 2211, 2129, 1326, 1104, 170, 10996, 1193, 6455, 7779, 2473, 1372, 1538, 1138, 1937, 2251, 1120, 1655, 109, 180, 109, 119, 3446, 109, 140, 109, 9113, 1178, 1113, 1103, 3026, 1104, 12713, 1383, 119, 4428, 117, 1195, 1660, 1199, 2686, 2368, 1207, 2211, 22379, 1111, 1103, 1177, 1233, 12598, 8040, 1830, 3213, 1104, 1199, 27154, 8511, 1811, 2114, 113, 1259, 1103, 21372, 1643, 4568, 1200, 2114, 114, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 24842, 2951, 1846, 4453, 1110, 1126, 1501, 2463, 1115, 1144, 1460, 170, 1974, 1104, 2209, 3055, 117, 1136, 1178, 1272, 1104, 1157, 5616, 1757, 1106, 2951, 1468, 117, 1133, 1145, 1496, 1106, 1103, 2567, 4683, 170, 2951, 1705, 17792, 1169, 1138, 119, 1130, 1142, 3342, 117, 1195, 1675, 170, 1207, 2672, 16026, 5531, 1111, 1289, 14131, 4453, 1606, 5415, 1105, 7657, 4351, 3297, 1121, 170, 6998, 14477, 21032, 15228, 119, 1284, 3666, 1412, 5531, 1106, 1237, 20979, 6828, 2220, 24542, 5393, 1606, 170, 7786, 26744, 19436, 3998, 117, 1111, 1134, 1412, 2672, 16026, 5531, 1110, 24423, 119, 1284, 17428, 1412, 2686, 1113, 170, 4321, 118, 4795, 2233, 1383, 1114, 1160, 18414, 131, 1141, 1114, 1155, 1227, 4713, 1105, 1141, 1114, 1126, 19508, 4795, 119, 1284, 3890, 4850, 110, 9148, 1105, 13218, 1113, 1103, 1148, 117, 1105, 5581, 110, 9148, 1105, 5899, 110, 13218, 1113, 1103, 1248, 119, 3458, 3442, 1110, 1145, 4451, 1104, 1842, 118, 1159, 2951, 5393, 1105, 1110, 25031, 1106, 1251, 3750, 1137, 9605, 7657, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 3198, 5821, 12140, 6013, 4440, 1118, 1103, 9539, 19353, 24211, 1891, 1104, 170, 4521, 182, 5412, 15818, 2000, 1110, 1737, 119, 138, 3014, 117, 1664, 118, 22572, 5132, 1233, 117, 1231, 13523, 7435, 23228, 2165, 2235, 1110, 2756, 1106, 20873, 1142, 6978, 119, 1109, 1218, 1227, 117, 22572, 5132, 1233, 117, 109, 156, 2591, 113, 124, 114, 165, 1551, 156, 2591, 113, 123, 114, 109, 2235, 1105, 1157, 1704, 20412, 1132, 2602, 1106, 2549, 7688, 5821, 12140, 6013, 1118, 1142, 6978, 1107, 1103, 5310, 109, 165, 16978, 1810, 168, 123, 165, 176, 1403, 165, 16978, 1810, 168, 124, 109, 119, 2189, 7688, 5821, 12140, 6013, 4440, 3584, 117, 1114, 4521, 3596, 7768, 1115, 1132, 1178, 3358, 9539, 6676, 1193, 117, 1132, 2756, 119, 4428, 117, 1118, 26975, 1107, 9479, 2187, 117, 1103, 5473, 11646, 1805, 1104, 22572, 5132, 1233, 3584, 1114, 170, 9652, 2716, 6455, 7688, 11439, 15544, 1110, 2602, 1106, 1129, 10861, 3387, 1106, 170, 19057, 11646, 6136, 1107, 2538, 1104, 12597, 4842, 1104, 4438, 117, 1114, 7688, 5821, 12140, 6013, 3088, 1120, 2780, 1634, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 8690, 1158, 1103, 4235, 1104, 1869, 1206, 1472, 1877, 1104, 1103, 3575, 1169, 1129, 1982, 1118, 1606, 1103, 1177, 118, 1270, 4539, 2916, 16698, 3291, 21634, 119, 1188, 4929, 1110, 1932, 17428, 1118, 1148, 12760, 170, 4321, 8997, 15045, 12365, 1874, 1403, 7370, 2109, 2235, 117, 1105, 1173, 1118, 1606, 3396, 2852, 24573, 1104, 1103, 18623, 11317, 3626, 1105, 11892, 5806, 2999, 20412, 119, 3446, 117, 1195, 1675, 1330, 2438, 1106, 17459, 1103, 7597, 2002, 1884, 21634, 1116, 1107, 4321, 8997, 15045, 1159, 1326, 119, 1109, 3442, 3000, 1110, 1664, 18311, 13689, 117, 1105, 190, 19621, 13733, 1103, 2012, 20277, 5318, 2734, 1104, 1103, 22127, 1104, 1103, 20277, 3476, 8952, 1104, 1103, 4321, 8997, 15045, 1965, 119, 1706, 3870, 1103, 5318, 2734, 117, 1195, 1138, 1231, 16461, 1106, 1126, 9932, 1872, 1118, 3635, 1105, 1117, 24146, 119, 1284, 1675, 14314, 1116, 1112, 1218, 1112, 1126, 4048, 1113, 170, 1842, 2233, 1383, 113, 5328, 3479, 18959, 5208, 16764, 1116, 1107, 1103, 5575, 10322, 114, 1106, 20873, 1103, 18576, 119, 138, 7577, 1106, 1103, 4400, 3136, 1107, 1858, 1104, 12133, 1110, 6448, 119, 1370, 1263, 22133, 3584, 117, 1103, 3000, 3136, 1110, 1104, 2199, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1142, 2526, 1195, 8242, 1103, 19903, 1540, 1104, 1103, 185, 23415, 22976, 15305, 5839, 2235, 113, 185, 23415, 22976, 157, 10964, 114, 1120, 4143, 122, 117, 178, 119, 174, 119, 1107, 1664, 118, 14561, 2344, 119, 1109, 185, 23415, 22976, 157, 10964, 1110, 1126, 4973, 1104, 16387, 26743, 112, 188, 11108, 15305, 5839, 2235, 113, 170, 9159, 2107, 114, 1134, 1136, 1178, 3643, 1111, 1961, 13947, 113, 1112, 1107, 1103, 170, 9159, 2107, 114, 1133, 1145, 3643, 1111, 15305, 10724, 1115, 1132, 185, 23415, 7528, 1116, 119, 1966, 170, 1295, 1104, 2191, 118, 5839, 2686, 1138, 2602, 19903, 8462, 1785, 1120, 4143, 122, 117, 1292, 1132, 1103, 1148, 2686, 1106, 1202, 1177, 1118, 8148, 1193, 20790, 1113, 15305, 12693, 1116, 1107, 6803, 117, 1897, 1190, 18535, 117, 2000, 119, 1556, 1103, 1961, 13947, 1104, 1103, 170, 9159, 2107, 117, 1122, 1110, 26031, 1181, 1115, 1103, 1705, 1104, 4143, 122, 2344, 1110, 1136, 19903, 1193, 8462, 119, 3446, 1195, 1437, 1115, 1103, 1705, 1104, 2344, 2133, 13947, 1132, 2766, 1104, 170, 2366, 185, 23415, 7528, 153, 1114, 183, 135, 127, 3091, 1110, 19903, 1193, 8462, 119, 1212, 1103, 1168, 1289, 117, 1195, 1437, 1115, 1103, 1705, 1104, 2344, 2133, 13947, 8296, 1104, 170, 2366, 185, 23415, 7528, 153, 1114, 183, 134, 124, 3091, 1132, 19903, 1193, 8462, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 24334, 1818, 9346, 1116, 1104, 1103, 2425, 11062, 1105, 4379, 1509, 11062, 1138, 1151, 10788, 1439, 1103, 8297, 1104, 1126, 8329, 5821, 12140, 19091, 5305, 22175, 25082, 3936, 2235, 3463, 113, 6586, 2137, 118, 159, 114, 1114, 170, 14516, 21967, 14352, 1170, 26980, 1197, 113, 25075, 14038, 27451, 114, 119, 1135, 1110, 1276, 1115, 1103, 3718, 174, 2497, 18876, 1891, 3154, 2612, 1103, 4718, 1104, 170, 3549, 11550, 9346, 117, 109, 165, 27466, 14721, 168, 121, 109, 117, 4408, 1121, 11550, 9346, 1116, 1104, 1103, 1509, 11062, 1106, 1129, 5409, 1750, 1190, 1343, 5806, 1106, 1103, 2425, 17906, 1133, 1601, 1106, 1343, 4379, 1107, 1242, 7857, 119, 6589, 117, 170, 1207, 7628, 1111, 4252, 3365, 1663, 15595, 11550, 9346, 1116, 1104, 1933, 4759, 118, 1176, 11062, 1110, 2756, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 7715, 118, 1546, 5250, 2822, 15197, 5562, 4159, 3483, 2621, 23981, 1116, 1106, 3593, 12580, 3584, 1107, 3395, 3776, 1105, 9161, 1107, 170, 28117, 19557, 26405, 1204, 1105, 15695, 1236, 117, 1133, 2585, 1796, 1103, 2530, 4929, 118, 1103, 4474, 2941, 4698, 2734, 1104, 9750, 2749, 119, 18555, 1336, 1329, 1241, 2299, 118, 1546, 4226, 1105, 6803, 23190, 117, 1137, 1256, 9410, 170, 9750, 3735, 1113, 4226, 119, 1252, 2530, 9750, 2749, 1674, 1136, 4282, 2299, 118, 1546, 4226, 1218, 131, 1103, 4370, 1104, 1143, 2225, 27984, 6966, 1110, 1136, 12411, 18766, 1389, 1804, 119, 3446, 1195, 8698, 21711, 118, 9326, 9261, 6966, 119, 1284, 1437, 1115, 1292, 6966, 131, 1532, 170, 1207, 4698, 2734, 1104, 9750, 2749, 5861, 1143, 2225, 27984, 6966, 132, 1532, 170, 12411, 18766, 1389, 1804, 4370, 1105, 1177, 1619, 2299, 118, 1546, 4226, 132, 1532, 170, 1218, 118, 3356, 4370, 1105, 1177, 1619, 1363, 6777, 6551, 1111, 8381, 1348, 14417, 132, 1105, 1619, 6803, 9750, 23190, 119, 1284, 10541, 1103, 1329, 1104, 21711, 118, 9326, 9261, 6966, 1111, 2299, 118, 1546, 4226, 1105, 9750, 1118, 131, 4000, 1115, 170, 1218, 118, 1227, 2058, 1104, 9750, 2749, 5336, 7091, 4226, 12535, 170, 23722, 2838, 132, 1105, 1704, 4404, 1260, 4730, 6154, 112, 188, 10384, 117, 1115, 1110, 170, 10268, 10384, 1107, 9750, 2749, 117, 1106, 21711, 118, 9326, 9261, 6966, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0 ]

[ 101, 107, 1409, 109, 176, 109, 1110, 170, 4520, 1121, 170, 2000, 109, 161, 109, 1154, 109, 165, 12523, 13834, 155, 167, 182, 109, 1105, 109, 195, 165, 1136, 165, 1107, 176, 113, 161, 114, 109, 117, 1519, 109, 153, 168, 196, 123, 117, 122, 117, 182, 198, 113, 176, 117, 195, 114, 109, 1129, 1103, 1383, 1104, 1155, 2442, 109, 165, 21902, 167, 122, 165, 18005, 165, 12523, 13834, 155, 167, 182, 109, 4051, 109, 195, 109, 1216, 1115, 109, 197, 176, 167, 196, 118, 122, 198, 113, 165, 21902, 167, 122, 114, 197, 165, 176, 1162, 4426, 123, 109, 119, 1284, 5424, 1115, 1111, 1251, 109, 183, 109, 118, 8611, 12676, 10114, 1818, 109, 161, 109, 1103, 4226, 109, 176, 165, 1884, 4934, 161, 165, 1106, 165, 12523, 13834, 155, 167, 182, 109, 117, 1187, 109, 182, 165, 176, 1162, 4426, 123, 1179, 116, 122, 109, 117, 1114, 109, 165, 12563, 153, 168, 196, 123, 117, 122, 117, 182, 198, 113, 176, 117, 195, 114, 165, 5837, 4426, 121, 109, 1111, 1155, 109, 195, 165, 1136, 165, 1107, 176, 113, 161, 114, 109, 1532, 170, 9613, 109, 144, 168, 165, 20811, 109, 118, 18005, 1104, 1103, 3053, 2000, 109, 140, 113, 161, 117, 165, 12523, 13834, 155, 167, 182, 114, 109, 119, 138, 18311, 13689, 1683, 1104, 1103, 1807, 10384, 1110, 1145, 2136, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1370, 170, 10996, 1768, 109, 165, 12523, 13834, 196, 143, 198, 168, 186, 109, 1104, 7987, 109, 185, 165, 176, 1162, 4426, 126, 109, 1105, 109, 148, 134, 165, 12523, 13834, 196, 143, 198, 168, 186, 113, 189, 114, 109, 117, 1195, 4615, 1103, 1266, 1104, 8468, 24021, 10642, 109, 142, 168, 173, 109, 1166, 109, 148, 109, 1549, 1118, 109, 194, 167, 123, 116, 193, 1183, 118, 189, 167, 173, 1183, 134, 193, 167, 124, 109, 1111, 1155, 27264, 109, 173, 109, 9947, 10205, 1162, 1106, 109, 186, 109, 119, 1284, 2194, 1126, 14077, 2838, 1111, 1103, 109, 149, 109, 118, 4226, 1104, 1292, 10642, 1107, 2538, 1104, 5549, 1182, 22958, 119, 9841, 117, 1195, 1260, 7641, 2093, 1121, 1142, 19218, 1115, 1103, 10642, 109, 142, 168, 173, 109, 13692, 1126, 26116, 1104, 1103, 139, 1611, 10232, 118, 14214, 1233, 10384, 119, 3046, 11228, 117, 1195, 10301, 1103, 1112, 17162, 6451, 14426, 3213, 1104, 1103, 3317, 1104, 1103, 1546, 1104, 1103, 9727, 118, 156, 2328, 14154, 11690, 1372, 1104, 109, 142, 168, 173, 109, 113, 1134, 1110, 1227, 1106, 1129, 10996, 114, 1118, 1157, 151, 165, 112, 14044, 1320, 118, 9727, 27335, 117, 1107, 2538, 1104, 1103, 4252, 5674, 21222, 2916, 12630, 3976, 1104, 109, 142, 168, 173, 109, 117, 1112, 109, 173, 165, 1106, 165, 1107, 27944, 109, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 9493, 9855, 2069, 2249, 10236, 6467, 3484, 9518, 18498, 1197, 2233, 1113, 1103, 14491, 144, 1162, 2559, 2530, 2235, 118, 1176, 8790, 15493, 171, 22354, 1179, 5996, 1103, 5417, 1104, 2610, 8790, 15493, 171, 22354, 1179, 22728, 1116, 1114, 1103, 4780, 7405, 171, 22354, 2316, 117, 109, 176, 168, 196, 177, 2559, 2559, 198, 109, 117, 1190, 1343, 1107, 1103, 2530, 2235, 119, 1284, 1329, 1103, 12171, 1182, 118, 6603, 2328, 2093, 1377, 2235, 1112, 1126, 14077, 2235, 1106, 4663, 1216, 170, 12671, 119, 1284, 1525, 1115, 1103, 109, 176, 168, 196, 177, 2559, 2559, 198, 109, 22728, 1116, 1169, 1129, 2610, 1190, 1103, 2530, 2235, 2860, 1118, 170, 5318, 1104, 1164, 122, 119, 124, 12477, 23984, 1193, 1107, 1103, 17816, 1805, 8080, 1114, 1103, 1954, 8790, 15493, 171, 22354, 1179, 3403, 2233, 1105, 2148, 1118, 1672, 1168, 15651, 119, 1284, 1173, 1437, 1293, 1103, 5847, 109, 176, 168, 196, 177, 2559, 2559, 198, 109, 22728, 1116, 1730, 1106, 11778, 4385, 1107, 1672, 4780, 171, 22354, 1179, 19665, 5669, 119, 1188, 1169, 1129, 3817, 4379, 1112, 10116, 1279, 1107, 1103, 20987, 3367, 23190, 1120, 1213, 14491, 144, 1162, 2559, 1105, 1145, 1103, 3367, 1104, 2302, 8790, 15493, 171, 22354, 2316, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 4659, 15750, 117, 1145, 1227, 1112, 5255, 3491, 4313, 5745, 15126, 117, 4856, 1293, 1353, 2607, 1107, 170, 1788, 112, 188, 7758, 1730, 1106, 10350, 2607, 1107, 1103, 5964, 119, 1284, 17794, 1126, 1903, 9162, 1104, 1788, 15750, 1111, 5250, 2822, 15197, 5562, 2648, 118, 118, 118, 2637, 15750, 118, 118, 118, 1115, 22284, 170, 2462, 3053, 1166, 170, 5250, 2822, 15197, 5562, 22728, 1104, 1160, 5964, 23190, 1121, 1160, 1861, 22743, 119, 1650, 9507, 1103, 2462, 117, 2637, 15750, 8680, 1116, 5616, 25071, 1104, 5250, 2822, 15197, 5562, 3053, 15750, 117, 1259, 9397, 1104, 3395, 3776, 14975, 1105, 25628, 1104, 2392, 3292, 9236, 119, 7282, 117, 2637, 15750, 2068, 1548, 16847, 4044, 5239, 1348, 4625, 1105, 1110, 1821, 7076, 2165, 1106, 4698, 1396, 12231, 119, 1284, 3689, 170, 6796, 1348, 1788, 8738, 1270, 109, 165, 12523, 13834, 196, 142, 198, 109, 185, 2069, 9530, 1111, 15975, 2637, 15750, 4625, 119, 3458, 8738, 1956, 1160, 2501, 4133, 119, 1752, 117, 6796, 1348, 3073, 118, 2975, 1105, 2112, 118, 2975, 1132, 4448, 1606, 12424, 117, 170, 1842, 118, 11165, 1704, 2734, 1104, 4701, 171, 21778, 7766, 118, 11165, 113, 6796, 1348, 114, 26878, 1116, 119, 2307, 117, 9228, 1116, 1132, 9829, 1107, 2538, 1104, 19351, 22728, 117, 170, 2281, 117, 25220, 1704, 2734, 1104, 5250, 2822, 15197, 5562, 22728, 1116, 1134, 6253, 5239, 1348, 14417, 119, 1284, 10541, 1412, 8738, 1113, 5136, 2894, 1103, 2519, 1104, 2988, 6796, 1348, 8738, 1116, 119, 3458, 1514, 1859, 4698, 9534, 6029, 9397, 1104, 1103, 188, 2430, 7147, 5668, 19848, 3442, 119, 7282, 117, 1195, 5424, 6099, 7021, 1111, 170, 5250, 2822, 15197, 5562, 2235, 1104, 1416, 14189, 119, 1284, 1145, 7532, 1412, 8738, 1114, 170, 9575, 6366, 6708, 1111, 19351, 22728, 1116, 1106, 4821, 1103, 3507, 22728, 6777, 5531, 1118, 139, 10354, 1926, 1105, 27028, 117, 1105, 4698, 3708, 6099, 7021, 1104, 1103, 144, 15554, 3169, 14189, 1121, 11435, 7094, 119, 107, 102 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 164, 20394, 3051, 2895, 118, 157, 1811, 1478, 166, 117, 20394, 3051, 2895, 118, 157, 1811, 4132, 1126, 109, 165, 174, 3491, 27599, 109, 118, 2366, 1785, 10384, 1111, 109, 125, 109, 118, 8611, 16127, 22502, 1116, 1443, 3884, 13457, 119, 1220, 26031, 1181, 1115, 1861, 2686, 1431, 2080, 1111, 3607, 12676, 1116, 1114, 4836, 188, 7867, 1813, 16408, 13461, 5332, 117, 26406, 1158, 155, 1596, 6617, 1177, 12888, 4199, 117, 155, 1596, 6617, 5611, 1107, 109, 125, 109, 118, 8611, 22502, 1116, 1105, 2299, 8611, 16127, 22502, 1116, 119, 1130, 1142, 2526, 1195, 4615, 1155, 1292, 2645, 119, 1752, 117, 1195, 9417, 4073, 11708, 26671, 1116, 1106, 1103, 26031, 1111, 109, 125, 109, 118, 8611, 3607, 12676, 1116, 1105, 4073, 11708, 26671, 1116, 1106, 1103, 26031, 1111, 2299, 8611, 16127, 22502, 1116, 119, 1370, 109, 125, 109, 118, 8611, 26406, 1158, 155, 1596, 6617, 1177, 12888, 4199, 117, 1195, 5424, 1126, 109, 165, 174, 3491, 27599, 109, 118, 2366, 1785, 10384, 1134, 26064, 20394, 3051, 2895, 118, 157, 1811, 112, 188, 26031, 1114, 170, 8462, 4836, 109, 165, 174, 3491, 27599, 109, 119, 1370, 155, 1596, 6617, 4235, 117, 1195, 4851, 20394, 3051, 2895, 118, 157, 1811, 112, 188, 109, 165, 174, 3491, 27599, 109, 118, 2366, 1785, 26031, 1106, 170, 8740, 153, 2217, 18109, 27089, 17839, 10301, 119, 1650, 15975, 170, 4265, 8740, 153, 2217, 18109, 27089, 17839, 10384, 117, 1195, 1169, 5424, 170, 4265, 109, 165, 174, 3491, 27599, 109, 118, 2366, 1785, 10384, 1134, 6320, 26064, 20394, 3051, 2895, 118, 157, 1811, 112, 188, 26031, 1111, 155, 1596, 6617, 4235, 119, 7282, 117, 1112, 170, 9547, 1104, 1103, 109, 165, 174, 3491, 27599, 109, 118, 2366, 1785, 117, 1195, 1169, 1437, 1118, 1606, 1103, 2401, 10384, 1104, 11896, 3169, 118, 157, 1811, 165, 172, 3150, 196, 11896, 1942, 1182, 198, 1115, 170, 7322, 5310, 1104, 26406, 1158, 155, 1596, 6617, 1177, 12888, 4199, 1114, 10350, 109, 149, 167, 123, 109, 16408, 13461, 5332, 1144, 170, 5307, 155, 1663, 4119, 1811, 1137, 5567, 10787, 2401, 1283, 1121, 170, 10996, 1295, 1104, 1827, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 10735, 25898, 4658, 117, 1103, 17599, 2050, 27886, 7243, 1105, 1157, 2933, 1113, 1103, 6676, 4625, 1104, 170, 7688, 28027, 4084, 1906, 140, 1358, 3291, 4600, 5072, 1114, 199, 1620, 19137, 1903, 9478, 2060, 4029, 1118, 5199, 5828, 19353, 24211, 1891, 1110, 10788, 1223, 1664, 118, 1110, 12858, 1200, 7435, 1105, 1110, 12858, 1200, 7435, 1126, 25362, 1979, 2975, 119, 16665, 2503, 9478, 1174, 140, 1358, 1105, 3291, 8245, 6432, 9478, 3213, 1852, 1126, 25362, 1979, 117, 6142, 1103, 140, 1358, 3291, 20107, 1110, 10735, 1193, 6111, 1120, 1103, 1269, 1126, 25362, 1979, 7479, 119, 1109, 1126, 25362, 2433, 17599, 25198, 1116, 1132, 2376, 1118, 2457, 27419, 4069, 117, 1259, 15049, 11267, 17599, 11428, 5005, 117, 11267, 2308, 2445, 188, 26426, 5864, 20739, 1105, 18858, 17357, 1106, 3702, 8944, 119, 1109, 4065, 8865, 1965, 1107, 1103, 140, 1358, 3291, 20107, 11283, 1118, 1103, 1269, 6978, 117, 1133, 1113, 1472, 2251, 9777, 131, 170, 2503, 21297, 6898, 16848, 1233, 2076, 25898, 1110, 4379, 1107, 1103, 9478, 4604, 117, 7344, 3291, 1105, 140, 1358, 4001, 1114, 170, 2610, 3418, 1132, 1824, 1485, 1103, 9478, 5904, 4001, 119, 20499, 9478, 3213, 1120, 2299, 1126, 25362, 1979, 7479, 2686, 1107, 170, 17599, 25198, 4721, 1104, 1103, 5805, 15784, 12877, 119, 5723, 10748, 1169, 1129, 1215, 1106, 5287, 1766, 9468, 2728, 4413, 1106, 11769, 3121, 19092, 2218, 4625, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 4615, 151, 134, 122, 7688, 5821, 12140, 11048, 154, 14107, 1359, 1113, 1103, 144, 168, 123, 7405, 1372, 1105, 1259, 124, 22572, 5132, 1233, 2187, 128, 118, 185, 9585, 119, 1130, 1115, 1692, 117, 1103, 7405, 16558, 1110, 3088, 2423, 1105, 1103, 6879, 1320, 118, 6455, 7688, 11439, 15544, 1113, 1103, 4521, 182, 5412, 15818, 2000, 1110, 1675, 119, 1409, 1103, 2749, 6808, 1103, 10684, 11921, 1858, 117, 1175, 1132, 1565, 22572, 5132, 6071, 1112, 17162, 13689, 191, 7409, 6718, 119, 1130, 1103, 5310, 1165, 1103, 10684, 11921, 22728, 3498, 19033, 117, 1160, 1104, 1103, 191, 7409, 6718, 1576, 1283, 1106, 1107, 24415, 1105, 1178, 125, 1112, 17162, 13689, 12374, 2231, 1132, 1286, 119, 4981, 117, 170, 22572, 5132, 6071, 21852, 1352, 1110, 1579, 1675, 119, 1284, 4615, 1145, 1126, 152, 113, 128, 114, 2235, 1114, 125, 22572, 5132, 1233, 2967, 2145, 1107, 6898, 1766, 6368, 119, 1130, 1115, 1692, 117, 1175, 1132, 125, 3908, 107, 107, 8496, 191, 7409, 6718, 107, 107, 13835, 1120, 1107, 24415, 1104, 1103, 182, 5412, 15818, 2000, 119, 1130, 170, 1664, 118, 1231, 13523, 7435, 23228, 2165, 2749, 5336, 170, 186, 6718, 3740, 1596, 1858, 1107, 1103, 7688, 11439, 15544, 117, 1152, 1437, 1146, 1120, 10996, 182, 5412, 15818, 4718, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 4521, 14286, 3484, 118, 13359, 21367, 19206, 2749, 21306, 1115, 1111, 1160, 24350, 109, 138, 109, 1105, 109, 139, 109, 117, 1191, 109, 121, 165, 5837, 4426, 139, 165, 5837, 4426, 138, 109, 1105, 109, 187, 113, 138, 114, 134, 187, 113, 139, 114, 109, 1114, 109, 138, 109, 1217, 178, 16145, 21977, 5225, 117, 1173, 109, 138, 134, 139, 109, 119, 1188, 1108, 3055, 2925, 1107, 17666, 4847, 119, 113, 1368, 114, 1106, 3112, 9298, 1113, 109, 149, 168, 185, 113, 165, 182, 1358, 114, 109, 1114, 1719, 109, 138, 109, 1137, 109, 139, 109, 1217, 178, 16145, 21977, 5225, 1105, 1540, 10114, 119, 1130, 1142, 2526, 117, 1195, 7532, 1103, 2686, 1106, 178, 16145, 21977, 5225, 9298, 1113, 16439, 18393, 7291, 19843, 1116, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0 ]

[ 101, 107, 1188, 2526, 1110, 170, 14961, 1104, 1412, 1844, 1250, 1113, 1352, 12133, 1104, 3490, 2500, 119, 12556, 3121, 18588, 1118, 4683, 117, 1195, 2025, 1103, 1352, 2703, 4233, 1104, 1160, 2440, 3490, 2500, 131, 5855, 7076, 2116, 3490, 1114, 2851, 1105, 5855, 7076, 2116, 3490, 1114, 27183, 119, 1284, 1437, 1115, 1103, 1352, 2703, 4233, 1104, 1241, 1104, 1292, 3490, 2500, 1132, 9627, 1750, 1190, 1103, 9116, 1104, 1103, 1352, 2703, 4233, 1104, 1147, 2510, 7828, 2500, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1142, 1250, 1195, 6265, 170, 1704, 2734, 1111, 1103, 10735, 9326, 26603, 19009, 4043, 1964, 9047, 1107, 1103, 5618, 1104, 170, 1123, 9084, 1811, 1704, 156, 2591, 113, 122, 117, 122, 114, 9047, 14622, 119, 1109, 157, 2271, 2137, 27216, 2007, 14255, 9380, 10716, 2995, 1132, 1894, 11470, 9044, 1606, 1126, 5806, 1181, 2545, 5168, 118, 26713, 8552, 24407, 6650, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 9314, 2240, 2235, 3114, 170, 1363, 1105, 2379, 6136, 1104, 23232, 6258, 2771, 118, 4886, 119, 1438, 1162, 117, 1142, 2235, 1110, 5805, 185, 10436, 6758, 22176, 117, 1105, 1674, 1136, 4137, 1103, 2731, 1104, 2991, 2942, 3876, 22081, 1880, 119, 1130, 1142, 2526, 1195, 6982, 117, 1115, 1103, 1211, 9816, 1104, 9314, 2240, 2235, 1169, 1129, 4408, 1121, 1822, 17962, 2235, 1105, 24431, 12647, 9538, 5474, 1104, 1822, 17962, 2235, 1106, 23232, 6258, 5669, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 7457, 1113, 1412, 2988, 8026, 9220, 1104, 8148, 11934, 1111, 3164, 26376, 11143, 138, 118, 117, 143, 118, 1105, 144, 118, 2076, 7688, 9037, 5240, 1105, 3999, 21170, 113, 181, 14088, 14226, 1785, 3553, 146, 1105, 1563, 114, 117, 1195, 12722, 170, 1664, 118, 149, 12880, 3622, 1104, 1103, 6302, 15569, 1107, 1147, 6814, 1116, 119, 1135, 1110, 2602, 1115, 1103, 1664, 118, 149, 12880, 22590, 1116, 1106, 1103, 140, 15569, 1116, 4408, 1121, 140, 146, 2442, 1132, 4366, 1105, 2773, 1114, 1103, 3903, 4143, 12008, 3101, 132, 1103, 22590, 1116, 1132, 2108, 2418, 1111, 1103, 18688, 140, 146, 2442, 1114, 22335, 1116, 3078, 16480, 118, 5306, 16480, 165, 10419, 119, 1109, 6302, 1223, 6639, 22902, 3633, 1112, 170, 1704, 2400, 1104, 1103, 2940, 1107, 2304, 1110, 3659, 132, 170, 2656, 1104, 1103, 2940, 2376, 1144, 1103, 6302, 21344, 164, 140, 120, 11907, 166, 1206, 118, 121, 119, 122, 1105, 118, 121, 119, 126, 1260, 1775, 117, 1114, 170, 5867, 1120, 118, 121, 119, 128, 1260, 1775, 119, 1332, 15089, 1103, 4408, 140, 21344, 1114, 1103, 151, 10116, 1276, 1118, 1366, 1111, 1103, 1269, 2940, 2206, 117, 1195, 6268, 170, 8481, 151, 5016, 119, 140, 2848, 118, 18741, 117, 1134, 1180, 1129, 2637, 1121, 23770, 1104, 1103, 2749, 119, 1284, 1276, 1115, 1103, 6022, 164, 151, 120, 140, 166, 15533, 2426, 1103, 2079, 1121, 121, 119, 124, 1106, 122, 119, 128, 1260, 1775, 119, 2695, 1292, 9927, 164, 151, 120, 140, 166, 4718, 1105, 1103, 140, 1105, 151, 1126, 7903, 7875, 2310, 1132, 1126, 5119, 2554, 1104, 1103, 2915, 1113, 170, 2851, 112, 188, 2473, 1104, 3216, 2578, 1121, 21371, 25556, 132, 1177, 117, 170, 2656, 1104, 4644, 2940, 2085, 1194, 1103, 1996, 7021, 1219, 1103, 1514, 4954, 113, 10978, 114, 1105, 120, 1137, 1103, 1148, 173, 4359, 2176, 118, 1146, 113, 143, 2137, 114, 4065, 119, 3291, 8223, 26464, 1320, 1114, 10093, 23770, 1259, 9967, 2716, 118, 10645, 7021, 2196, 1115, 1103, 2940, 1132, 1719, 2112, 118, 10978, 4546, 1114, 1103, 3288, 9967, 1348, 1396, 27089, 4233, 159, 1568, 134, 2363, 118, 3127, 1557, 120, 188, 1137, 2112, 118, 143, 2137, 4546, 1114, 159, 1568, 134, 121, 118, 3127, 1557, 120, 188, 119, 1109, 4379, 151, 5016, 119, 140, 2848, 118, 18741, 11363, 170, 20917, 1104, 1103, 140, 1105, 151, 1126, 7903, 7875, 1113, 1103, 159, 1568, 2860, 131, 1113, 1903, 1103, 2299, 159, 1568, 1103, 3407, 1103, 1126, 7903, 7875, 119, 1135, 1110, 2602, 1115, 1126, 5884, 1104, 11552, 1895, 4941, 23649, 1107, 1103, 6814, 1116, 1104, 1103, 2940, 117, 1134, 1110, 4977, 1114, 1103, 4379, 151, 10116, 1105, 140, 21344, 117, 1110, 2385, 4137, 1895, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1335, 18408, 12024, 1106, 2767, 1103, 1540, 1104, 4521, 1105, 9539, 3584, 1104, 3254, 19675, 1138, 170, 1263, 1607, 119, 1109, 10010, 2273, 1110, 1106, 1525, 4252, 5674, 21222, 2916, 8865, 1116, 1111, 19903, 2645, 119, 1438, 117, 1216, 8865, 1116, 1202, 1136, 1435, 170, 12563, 1162, 170, 5955, 131, 1229, 1175, 1127, 1199, 1346, 14792, 1107, 1103, 1532, 1104, 4610, 23470, 2645, 1111, 170, 8511, 1811, 2114, 118, 118, 1134, 1704, 3708, 156, 13252, 112, 188, 5318, 1158, 9932, 3229, 1211, 12969, 1193, 118, 118, 1178, 1111, 170, 8973, 1104, 1664, 118, 170, 8511, 1811, 2114, 7856, 9539, 14975, 1127, 1276, 119, 15088, 117, 2645, 1138, 4690, 2569, 2209, 1115, 5622, 1106, 6183, 4610, 4841, 118, 4413, 1104, 1168, 27481, 24682, 2916, 1105, 19669, 4546, 8655, 2114, 119, 1130, 1142, 2526, 1195, 2194, 1207, 5136, 1111, 4252, 5674, 21222, 2916, 8865, 1116, 1118, 6103, 4610, 5212, 2645, 1115, 1132, 3393, 1111, 1317, 3553, 1104, 3023, 1664, 118, 7378, 9326, 9016, 1389, 4226, 119, 1636, 1177, 118, 1270, 5950, 4226, 14368, 1107, 5354, 6451, 9543, 117, 1187, 1147, 2400, 1104, 1515, 6150, 3596, 3396, 2852, 188, 26426, 1611, 1113, 1103, 9326, 9016, 1389, 177, 24312, 10182, 3962, 3114, 1172, 1231, 5053, 7174, 3633, 1222, 2218, 3322, 1104, 2035, 119, 1284, 1675, 1207, 9539, 14975, 1115, 9474, 1103, 4610, 5212, 2645, 1111, 1317, 1218, 118, 1227, 3553, 1104, 5950, 4226, 1107, 19068, 1159, 1105, 1114, 170, 4836, 1295, 1104, 15027, 3377, 117, 1229, 1103, 4521, 15027, 1616, 12133, 1110, 2602, 1106, 1129, 4252, 5674, 21222, 2916, 119, 3458, 3136, 2745, 170, 5531, 1115, 23244, 1103, 7058, 1785, 1206, 5950, 4226, 1105, 1147, 3396, 2852, 24573, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1370, 1211, 1104, 1103, 1352, 118, 1104, 118, 1103, 118, 1893, 4055, 11778, 1880, 4884, 117, 170, 188, 26426, 24081, 4515, 1110, 1932, 6349, 1190, 1103, 7514, 1159, 118, 5777, 7158, 2233, 1290, 1122, 7189, 1167, 10114, 8685, 1487, 1114, 21382, 18107, 1869, 1166, 170, 1263, 1159, 8492, 119, 1438, 117, 1103, 1603, 118, 1159, 3396, 2852, 11303, 113, 23676, 26321, 114, 1115, 8743, 1103, 188, 26426, 24081, 4515, 1107, 1704, 4267, 12223, 13245, 1103, 1560, 4344, 1105, 8267, 6263, 1103, 11137, 1104, 1103, 2628, 4055, 11778, 1880, 4884, 119, 1130, 1142, 2025, 117, 1195, 17794, 170, 2281, 4055, 11778, 1880, 3442, 1115, 11258, 1116, 1103, 14975, 1104, 18535, 4003, 5765, 17745, 11303, 113, 141, 2924, 2101, 1942, 114, 1105, 1664, 1673, 25524, 2109, 8952, 5318, 2734, 113, 151, 18586, 114, 1107, 1546, 1106, 19280, 1103, 18501, 26802, 119, 1130, 4094, 117, 1103, 141, 2924, 2101, 1942, 1110, 1148, 3666, 1106, 3325, 170, 1159, 118, 5777, 4055, 4344, 1154, 170, 1326, 1104, 4841, 10198, 7981, 1443, 11100, 1251, 25856, 119, 1599, 1195, 19685, 151, 18586, 1106, 13426, 1103, 4055, 6552, 1111, 1296, 4841, 10198, 119, 4428, 117, 1103, 9927, 4841, 10198, 7981, 1132, 1688, 1487, 2258, 1103, 22127, 141, 2924, 2101, 1942, 1106, 1231, 7235, 2050, 5082, 5822, 170, 4647, 118, 3549, 4344, 1107, 1159, 5777, 119, 1284, 17459, 1103, 3000, 141, 2924, 2101, 1942, 118, 151, 18586, 1359, 4055, 11778, 1880, 3442, 1113, 1103, 150, 3048, 11607, 1942, 4579, 119, 17635, 2686, 1437, 1115, 1142, 1207, 3442, 18492, 1116, 1304, 1218, 1107, 16825, 4055, 3068, 1105, 1107, 7854, 2646, 5389, 5474, 1105, 1122, 1149, 3365, 13199, 1116, 1103, 14255, 1964, 9573, 8934, 1348, 23676, 26321, 118, 151, 18586, 1359, 3442, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 4615, 1126, 1821, 1643, 22881, 118, 1105, 118, 1977, 9316, 2443, 2766, 1104, 170, 2674, 117, 1160, 9316, 1116, 117, 1105, 170, 7680, 119, 1130, 1142, 2443, 117, 1103, 1160, 9316, 1116, 1132, 8362, 18062, 8954, 1174, 1107, 1103, 2305, 1115, 1152, 1336, 3870, 8377, 3690, 1118, 1977, 1158, 8599, 9282, 1106, 1103, 7680, 119, 5322, 1115, 1451, 5961, 1460, 1118, 1103, 7680, 1336, 1129, 8599, 117, 1105, 7544, 1185, 4044, 3835, 8310, 1110, 1907, 1106, 1103, 7680, 119, 1370, 1142, 2443, 117, 1195, 6183, 170, 1415, 1266, 1104, 8377, 3690, 1115, 1169, 1129, 11168, 1107, 1103, 2952, 6440, 119, 1284, 1748, 8242, 1293, 1103, 3094, 2975, 3772, 1103, 11432, 1222, 1142, 1266, 1104, 3690, 119, 1130, 2440, 117, 1195, 5424, 1115, 1155, 8377, 3690, 1107, 1142, 1266, 1169, 1129, 11168, 1114, 1112, 17162, 6451, 14426, 2716, 1353, 5529, 11432, 1105, 6014, 8819, 5250, 2822, 15951, 1118, 1606, 170, 13230, 1415, 1295, 1104, 3094, 9959, 165, 9712, 7880, 196, 1191, 1105, 1178, 1191, 198, 1103, 2443, 2068, 1548, 16847, 170, 1664, 118, 1299, 9717, 5886, 5474, 3879, 119, 1302, 3073, 118, 3416, 3318, 1137, 3318, 6580, 1110, 1834, 1111, 1103, 11432, 1104, 1292, 3690, 117, 15107, 1103, 2860, 1104, 1142, 2952, 118, 6440, 2699, 5531, 1111, 4073, 11179, 1158, 8377, 3690, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0 ]

[ 101, 107, 1130, 1142, 2526, 1195, 8242, 1103, 2933, 1104, 1103, 17498, 2578, 1105, 1273, 15830, 1113, 1103, 153, 6851, 1200, 3447, 6468, 4143, 1107, 21359, 4487, 14298, 9823, 4654, 18236, 1673, 118, 21359, 4487, 3457, 7428, 12934, 5412, 10453, 22252, 1162, 113, 157, 22169, 118, 157, 1658, 2249, 4880, 114, 4240, 2441, 117, 4215, 1118, 2952, 23548, 23042, 119, 3458, 3622, 2196, 1115, 1103, 17498, 2578, 1105, 1103, 3213, 2975, 5473, 2933, 1103, 1273, 22740, 119, 1130, 2440, 117, 1195, 10541, 1115, 1103, 153, 6851, 1200, 3447, 6468, 4143, 1107, 4240, 2441, 1110, 2211, 1190, 1107, 157, 22169, 118, 157, 1658, 2249, 4880, 1423, 16132, 119, 1284, 6982, 1115, 1142, 2629, 20251, 1496, 1106, 20705, 117, 1134, 12982, 1107, 157, 22169, 118, 157, 1658, 2249, 4880, 4240, 2441, 1219, 1103, 3213, 1965, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 20277, 3053, 1104, 170, 6898, 118, 12591, 1160, 118, 8611, 11907, 9019, 1182, 3245, 1114, 1603, 118, 2079, 10393, 1110, 10056, 1118, 2086, 1104, 170, 9539, 10005, 4298, 119, 2750, 186, 4746, 24936, 3311, 1110, 1276, 1114, 170, 2793, 7886, 1118, 11907, 5253, 109, 165, 3087, 2875, 196, 119, 198, 109, 164, 7009, 113, 1498, 114, 109, 165, 3087, 1830, 2087, 196, 18478, 198, 109, 117, 3453, 113, 1349, 114, 166, 119, 1109, 3154, 1104, 25942, 1132, 3817, 5085, 1107, 1103, 3476, 1104, 2231, 117, 1134, 8609, 170, 18793, 1104, 20277, 2841, 1496, 1106, 1103, 3855, 1104, 170, 1160, 118, 1404, 4930, 1352, 119, 1130, 1901, 117, 1103, 11550, 3735, 1105, 1103, 2070, 118, 5625, 10122, 1132, 4408, 117, 1134, 1132, 1107, 6548, 3311, 1114, 6129, 8462, 2686, 119, 1135, 1110, 7160, 1115, 1107, 1103, 5310, 1104, 1344, 4143, 117, 1103, 21711, 17482, 2941, 1513, 4252, 24214, 1116, 1132, 1218, 3393, 117, 3525, 1111, 170, 25433, 6136, 1104, 1103, 3245, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 18430, 140, 23225, 1158, 1110, 170, 3087, 5463, 5531, 1134, 22646, 1103, 1549, 1383, 1104, 3087, 4961, 1154, 2418, 13687, 119, 1135, 1110, 1215, 1111, 11640, 170, 3321, 1295, 1104, 3087, 4961, 1154, 170, 1218, 118, 3366, 1532, 119, 1130, 1103, 2656, 1104, 1103, 10005, 1158, 14975, 117, 1103, 1295, 1104, 13687, 1538, 1129, 9467, 170, 1643, 8558, 2047, 117, 1134, 1110, 170, 3282, 4197, 1104, 1292, 14975, 119, 1109, 6457, 1104, 1142, 2526, 1110, 1106, 1437, 6700, 1193, 1293, 1106, 4959, 1103, 1295, 1104, 13687, 1359, 1113, 10005, 3068, 119, 1967, 16416, 1348, 10005, 1158, 14975, 1132, 1218, 118, 10891, 1111, 10005, 1158, 1415, 5830, 2233, 27948, 117, 1195, 1138, 12597, 1412, 3622, 1106, 170, 16416, 1348, 10005, 1158, 9932, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1188, 2526, 1144, 1151, 9512, 1118, 1103, 2351, 117, 1290, 1199, 2686, 1104, 1103, 2526, 1138, 1151, 1640, 3836, 1107, 164, 147, 119, 199, 3180, 5491, 2572, 9587, 117, 3699, 119, 25231, 144, 1611, 1964, 119, 130, 113, 1924, 114, 117, 1185, 119, 1275, 117, 149, 17175, 1559, 118, 118, 149, 16337, 1475, 119, 166, 107, 102 ]

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

[ 101, 107, 1335, 6004, 1159, 117, 140, 120, 1504, 148, 1477, 113, 8544, 12412, 9159, 2069, 8900, 114, 1108, 1103, 1248, 1211, 6531, 1107, 8346, 2327, 27492, 1518, 4379, 119, 1135, 1144, 1151, 4491, 1115, 1142, 4231, 1110, 1107, 1103, 1965, 1104, 4905, 1103, 5047, 12700, 3910, 1111, 1103, 1148, 1159, 117, 1133, 1168, 5752, 1138, 4803, 1115, 1122, 1110, 9652, 2716, 1385, 119, 1284, 1138, 1982, 1554, 151, 118, 1404, 14314, 1116, 1111, 124, 1422, 1197, 1154, 1103, 1763, 1606, 1103, 6270, 1470, 8895, 9220, 1111, 1142, 4231, 1105, 1211, 1104, 1172, 117, 5486, 110, 117, 1132, 8080, 1114, 170, 4930, 1105, 9652, 2716, 1385, 152, 12148, 7180, 27492, 117, 1133, 1164, 1853, 110, 1104, 1103, 2376, 22508, 1132, 12173, 1114, 1126, 9455, 13894, 12576, 4247, 119, 3458, 2457, 17891, 5473, 5996, 1115, 140, 120, 1504, 148, 1477, 1110, 1136, 170, 9652, 2716, 1207, 152, 12148, 7180, 27492, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0 ]

[ 101, 107, 1109, 1822, 118, 3367, 1322, 1104, 1103, 21371, 20242, 8718, 16068, 5796, 113, 146, 18586, 114, 1110, 14255, 16468, 9044, 1118, 7781, 1113, 1103, 2927, 15136, 118, 6226, 2129, 4001, 1104, 2012, 11039, 1158, 26341, 119, 1284, 2025, 1107, 1142, 2998, 1103, 16127, 3156, 113, 154, 20581, 26303, 116, 5347, 1568, 1571, 114, 117, 170, 195, 134, 121, 119, 5129, 17081, 15593, 2133, 171, 26272, 4096, 1112, 11039, 1113, 170, 3582, 186, 6718, 9724, 119, 1109, 3638, 1104, 1103, 1300, 186, 6718, 9724, 4351, 14255, 16468, 1394, 1103, 2473, 3367, 3476, 1113, 1103, 11039, 4261, 117, 6142, 1103, 2473, 20828, 113, 145, 118, 1467, 151, 9741, 20647, 1708, 120, 145, 9272, 14377, 114, 1373, 1114, 1996, 188, 26426, 5864, 20739, 1104, 1103, 11039, 113, 159, 26909, 120, 143, 9565, 1708, 1475, 114, 2621, 1366, 1106, 14255, 16468, 1394, 1103, 21371, 3367, 3438, 117, 1111, 170, 2079, 1104, 146, 18586, 1116, 119, 1284, 1525, 1115, 170, 4521, 1423, 1540, 1644, 113, 18613, 12924, 1200, 146, 18586, 114, 17163, 1116, 1167, 21371, 3367, 1190, 1103, 4379, 11039, 1158, 10777, 119, 1188, 1871, 1110, 3659, 1120, 1103, 4850, 110, 6595, 1634, 117, 1105, 1110, 17351, 1106, 12818, 3154, 1496, 1106, 1103, 3026, 1104, 1416, 11362, 3584, 117, 1103, 2915, 1104, 6693, 117, 1137, 1103, 2703, 10437, 120, 171, 26272, 1416, 5495, 119, 3458, 1664, 118, 18311, 13689, 18576, 1110, 1167, 17351, 1190, 15190, 14494, 2941, 10777, 117, 1112, 1195, 1202, 1136, 1444, 1106, 1294, 1251, 19129, 1164, 1103, 9652, 1348, 1352, 1104, 1103, 15593, 1137, 1157, 25898, 1154, 171, 26272, 1105, 10437, 119, 3278, 170, 2079, 1104, 1822, 118, 3367, 1540, 1644, 10336, 113, 1114, 18613, 12924, 1200, 1217, 23039, 134, 116, 122, 119, 2588, 114, 1195, 1525, 1115, 1120, 170, 3078, 110, 6595, 1634, 117, 10336, 1114, 23039, 135, 121, 1132, 4741, 1149, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 7085, 8376, 2430, 4487, 2316, 4342, 1105, 24197, 1863, 1104, 174, 18965, 7897, 2916, 156, 1306, 1942, 1182, 2346, 1495, 120, 142, 1358, 1942, 1182, 2346, 1495, 1119, 25710, 25198, 1116, 4215, 1118, 9546, 7574, 174, 18965, 7897, 1183, 1132, 10788, 119, 1135, 1110, 2602, 1115, 1103, 15281, 19959, 26728, 21028, 1120, 1103, 8551, 14681, 199, 124, 119, 130, 1775, 10424, 167, 1489, 3975, 167, 118, 123, 11837, 1154, 1103, 142, 1358, 1942, 1182, 2346, 1495, 119, 1109, 1122, 16167, 2861, 11837, 8245, 1160, 4966, 5353, 1106, 1103, 20061, 1944, 2629, 119, 1109, 1126, 7903, 12769, 1944, 2629, 2691, 2693, 170, 1304, 1353, 24197, 2734, 117, 7713, 170, 1664, 118, 1884, 23824, 19386, 6898, 2401, 1105, 1103, 1248, 6436, 13198, 170, 1499, 7542, 1944, 2629, 119, 154, 4746, 24936, 5408, 4056, 1107, 1103, 4143, 20917, 1104, 1241, 1944, 3154, 1165, 3402, 1106, 6029, 1193, 1202, 3537, 142, 1358, 1942, 1182, 2346, 1495, 119, 1130, 2440, 117, 1103, 1499, 7542, 1944, 2629, 6436, 2691, 1120, 2299, 7479, 1105, 1103, 1126, 7903, 12769, 1944, 2629, 2196, 170, 2951, 1849, 1114, 4143, 119, 1109, 2686, 5996, 1115, 22739, 1169, 1129, 1215, 1106, 9253, 1499, 7542, 14343, 1107, 1122, 16167, 2861, 8364, 2344, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 1107, 4487, 14787, 10536, 1813, 11019, 26996, 2007, 2235, 15969, 26351, 113, 5255, 165, 169, 174, 2176, 1130, 4487, 14787, 10536, 1813, 27173, 114, 1110, 1208, 1682, 1106, 27466, 13601, 8052, 22620, 3848, 2116, 9535, 10645, 1118, 1933, 12846, 1114, 21963, 1146, 1106, 4986, 1405, 144, 1162, 2559, 119, 1188, 1108, 1189, 1936, 5438, 1106, 1103, 7249, 1104, 4321, 20585, 17744, 1107, 1103, 151, 2249, 117, 109, 165, 7679, 109, 151, 1105, 109, 165, 185, 1182, 109, 151, 10393, 119, 1109, 2686, 3836, 1114, 9535, 1113, 27349, 10645, 1118, 183, 21977, 26918, 2316, 1137, 185, 5266, 1522, 6595, 1107, 1103, 2235, 119, 138, 1397, 2585, 1209, 1129, 1103, 1901, 1104, 1103, 4020, 9150, 117, 109, 165, 16978, 1810, 109, 117, 109, 165, 15015, 109, 1105, 14812, 4199, 117, 1107, 1546, 1106, 1136, 1178, 1231, 24191, 1103, 1344, 118, 2308, 13117, 117, 1133, 1145, 1106, 7532, 1103, 9816, 1104, 15969, 26351, 117, 1112, 5076, 177, 24312, 14787, 10536, 1361, 7094, 119, 3847, 1343, 1160, 3827, 1104, 1103, 3463, 117, 1103, 5417, 1106, 7299, 1103, 109, 165, 3084, 1161, 109, 1105, 109, 165, 184, 3263, 2571, 109, 1143, 22966, 1107, 15969, 26351, 1144, 1151, 1982, 1105, 1142, 1110, 1103, 8366, 1104, 1142, 2526, 119, 6401, 17376, 1104, 1292, 1143, 22966, 2773, 1114, 2308, 1105, 1122, 1110, 5426, 1106, 2774, 1147, 3573, 1120, 2299, 21963, 119, 3046, 4418, 117, 2527, 1104, 109, 165, 3084, 1161, 109, 4054, 14352, 1116, 5257, 1121, 8026, 14314, 1116, 1104, 1157, 1707, 119, 1636, 1132, 1103, 1160, 3672, 1111, 1147, 7249, 119, 1130, 1403, 4359, 24767, 1104, 1103, 2235, 117, 1176, 7876, 3943, 2771, 4886, 117, 1132, 6352, 1105, 21329, 1114, 6700, 2233, 1132, 2446, 1149, 1106, 2774, 1103, 17104, 1104, 1343, 11287, 7481, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0 ]

[ 101, 107, 8353, 14730, 24197, 1116, 188, 4487, 13002, 1103, 4521, 1105, 9539, 6676, 11308, 117, 15959, 1242, 19601, 14343, 119, 1220, 1336, 1138, 1696, 12675, 4683, 1107, 1869, 5092, 1105, 9539, 3254, 19675, 119, 1284, 3189, 1103, 2952, 4625, 1104, 1160, 5250, 2430, 2340, 15328, 9546, 9468, 2728, 1918, 8376, 2145, 117, 150, 1179, 168, 1367, 118, 20839, 10237, 1105, 11907, 168, 129, 131, 1296, 18492, 1116, 1112, 170, 12135, 117, 6898, 118, 1275, 4231, 117, 1105, 10877, 5280, 1158, 1206, 1146, 1105, 1205, 7768, 119, 1249, 4143, 1110, 6069, 117, 1103, 6898, 27183, 1965, 23530, 1116, 1121, 10735, 14915, 1106, 5805, 9539, 5280, 1158, 119, 1335, 1822, 7479, 117, 8364, 170, 7501, 23742, 1116, 4467, 1107, 1134, 1103, 24197, 2734, 1104, 1126, 2072, 6876, 5223, 7936, 1116, 119, 1284, 6265, 1103, 1696, 1648, 1115, 16558, 118, 4440, 3872, 1505, 1107, 3759, 5280, 1158, 1105, 1107, 4411, 11320, 118, 4065, 11364, 119, 13989, 6700, 11823, 5057, 1115, 9539, 1884, 21634, 1169, 1129, 4441, 1113, 1159, 9777, 6664, 1106, 2621, 170, 17119, 1295, 1104, 9539, 12783, 2500, 1106, 1129, 1982, 119, 142, 3101, 12148, 1116, 1132, 14910, 1106, 2561, 19863, 5326, 20835, 1105, 1106, 4134, 1105, 19109, 2510, 10799, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1103, 1704, 1160, 8790, 15493, 2702, 1204, 2235, 1114, 16852, 4787, 8795, 8790, 15493, 22728, 1116, 117, 8795, 8790, 15493, 171, 22354, 2316, 1336, 14352, 7065, 1193, 2258, 109, 189, 165, 2927, 172, 109, 1137, 109, 165, 2927, 189, 1665, 109, 1509, 2231, 119, 1335, 1103, 7378, 1884, 6473, 2692, 117, 109, 174, 167, 116, 174, 167, 118, 165, 1106, 177, 167, 121, 1592, 167, 121, 109, 1137, 109, 145, 167, 121, 1592, 167, 121, 109, 1707, 5669, 1336, 1871, 1107, 109, 171, 165, 2927, 171, 1204, 165, 2927, 172, 109, 117, 109, 160, 167, 116, 160, 167, 118, 189, 165, 2927, 172, 109, 1137, 109, 189, 1204, 165, 2927, 172, 165, 2927, 172, 109, 113, 1137, 109, 165, 2927, 189, 165, 2927, 189, 19515, 109, 114, 1509, 2231, 119, 1109, 1965, 109, 165, 21400, 165, 21400, 165, 1106, 177, 167, 121, 117, 165, 138, 167, 121, 165, 1106, 189, 165, 2927, 172, 109, 1110, 1145, 10480, 117, 1133, 109, 174, 167, 116, 174, 167, 118, 165, 1106, 113, 177, 167, 121, 117, 165, 145, 167, 121, 114, 163, 167, 121, 165, 1106, 189, 165, 2927, 172, 163, 167, 121, 109, 1110, 3860, 14336, 119, 1109, 5417, 1104, 15639, 1176, 2951, 5837, 11927, 7608, 117, 1932, 1103, 2885, 8519, 1111, 8795, 1143, 2142, 7021, 117, 1110, 2385, 5426, 1290, 109, 157, 167, 121, 109, 1143, 22966, 1202, 1136, 1256, 1532, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 15088, 139, 5123, 7916, 118, 22107, 17726, 1179, 2234, 170, 3106, 1664, 24984, 4235, 109, 144, 109, 119, 2397, 6457, 1108, 1106, 7532, 1103, 6059, 9932, 1104, 22107, 17726, 1179, 118, 14009, 2556, 22190, 1182, 117, 1154, 1103, 155, 1663, 4119, 1811, 3545, 119, 1109, 6457, 1104, 1142, 2526, 1110, 1106, 1301, 1194, 1103, 4068, 1113, 1293, 1106, 3870, 2455, 11432, 1111, 170, 1804, 117, 11783, 177, 24312, 6385, 11931, 7954, 109, 150, 168, 121, 109, 1107, 109, 165, 12523, 13834, 196, 155, 198, 167, 196, 183, 116, 122, 198, 109, 15819, 1142, 109, 144, 109, 118, 4235, 119, 1130, 1546, 1106, 1202, 1142, 1195, 1294, 1199, 27939, 1106, 139, 5123, 7916, 1105, 22107, 17726, 2316, 19848, 10301, 117, 1170, 1195, 1138, 1694, 1142, 1195, 1169, 1301, 1113, 1106, 6982, 1112, 1107, 22107, 17726, 1179, 118, 14009, 2556, 22190, 1182, 112, 188, 2526, 25030, 16408, 13461, 5332, 4235, 1114, 12814, 3377, 1104, 1160, 118, 20137, 177, 24312, 1361, 11931, 7954, 1116, 117, 1107, 1546, 1106, 1705, 6120, 1160, 118, 20137, 9902, 15819, 109, 144, 109, 118, 4235, 119, 107, 102 ]

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

[ 101, 107, 150, 13901, 118, 141, 8539, 1110, 170, 2436, 1104, 2771, 118, 4886, 1105, 2603, 23795, 1111, 2747, 13213, 1348, 5669, 1105, 170, 5127, 1555, 1439, 1103, 5881, 18486, 12498, 113, 19536, 21049, 114, 1105, 1103, 18486, 18662, 1105, 22175, 7154, 1945, 113, 19497, 18219, 1658, 114, 119, 1188, 8539, 2515, 6307, 118, 4267, 20808, 15253, 2771, 118, 4886, 1111, 1103, 2510, 187, 1186, 118, 20401, 1348, 2231, 1104, 1103, 4267, 10024, 7257, 9546, 17146, 1105, 2603, 23795, 1111, 1103, 18858, 118, 155, 19429, 2953, 18858, 22572, 5521, 1182, 118, 14469, 2734, 1105, 22127, 11267, 118, 14469, 118, 18858, 22572, 5521, 1182, 118, 1231, 17701, 9400, 5669, 119, 1335, 1103, 1721, 1122, 2515, 2233, 1111, 6307, 10396, 7301, 15253, 2771, 118, 4886, 1104, 9986, 145, 1477, 116, 1105, 1119, 14635, 1124, 1477, 116, 9546, 17146, 1105, 1103, 7671, 11445, 10735, 6307, 10396, 7301, 15253, 2771, 118, 4886, 119, 1109, 187, 1186, 118, 20401, 1348, 2308, 2231, 1105, 1103, 7671, 20866, 9016, 8952, 3050, 1132, 2136, 1112, 1218, 119, 145, 19694, 4915, 1105, 1119, 14635, 9546, 14469, 2233, 1132, 1696, 1111, 19218, 1104, 6644, 1105, 21371, 6814, 3584, 1105, 1111, 187, 21403, 3946, 3936, 117, 1112, 1218, 1112, 1111, 25433, 1116, 1104, 1168, 1112, 8005, 18547, 1105, 8087, 13441, 113, 178, 119, 174, 119, 1346, 9121, 114, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 6982, 1115, 2703, 2344, 117, 3393, 1112, 1664, 118, 18959, 14788, 1320, 18240, 1965, 117, 1114, 12133, 7448, 109, 165, 182, 1358, 109, 117, 3670, 1869, 1194, 12133, 9901, 119, 1284, 20873, 1142, 2400, 1114, 6448, 10093, 1105, 18294, 17891, 7645, 170, 1449, 1114, 12133, 7448, 109, 165, 182, 1358, 168, 196, 156, 198, 109, 1679, 20362, 4774, 1118, 170, 4344, 1114, 12133, 7448, 109, 165, 182, 1358, 168, 196, 153, 198, 109, 119, 1284, 2817, 1412, 2209, 1113, 1103, 1692, 109, 122, 119, 126, 165, 5837, 4426, 165, 182, 1358, 168, 156, 165, 5837, 4426, 123, 109, 1105, 109, 122, 165, 5837, 4426, 165, 182, 1358, 168, 196, 153, 198, 165, 5837, 4426, 123, 109, 119, 1284, 1437, 1115, 1111, 109, 165, 182, 1358, 168, 196, 156, 198, 165, 176, 1162, 4426, 165, 182, 1358, 168, 153, 109, 117, 1103, 1449, 156, 23577, 1116, 1103, 1679, 20362, 19632, 117, 1105, 1103, 2593, 7657, 6986, 1114, 4138, 109, 165, 182, 1358, 168, 153, 109, 119, 1109, 4177, 7657, 1110, 2788, 1118, 1103, 9901, 3879, 109, 165, 182, 1358, 168, 153, 134, 165, 182, 1358, 168, 156, 109, 119, 1370, 109, 165, 182, 1358, 168, 196, 153, 198, 135, 165, 182, 1358, 168, 196, 156, 198, 109, 1103, 2593, 7657, 8336, 1149, 1112, 109, 122, 120, 189, 167, 196, 165, 182, 1358, 168, 153, 118, 165, 182, 1358, 168, 156, 198, 109, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 149, 6258, 1592, 113, 5976, 1200, 11300, 6732, 20182, 4525, 1760, 5208, 1605, 114, 1110, 170, 4091, 2862, 1104, 142, 8055, 1105, 9085, 1134, 8469, 1106, 1129, 1103, 1148, 2000, 118, 16908, 176, 1611, 5086, 1777, 118, 189, 12115, 4003, 23014, 119, 4187, 1106, 1103, 1344, 12133, 1105, 12675, 7806, 1115, 149, 6258, 1592, 1209, 1339, 117, 142, 8055, 1879, 1106, 4286, 170, 12675, 8568, 4487, 2772, 117, 149, 6258, 1592, 17392, 27038, 119, 1109, 21586, 1104, 149, 6258, 1592, 17392, 27038, 1110, 1103, 1177, 118, 1270, 149, 6258, 1592, 3529, 14667, 2553, 117, 1105, 1209, 1129, 1103, 2439, 15750, 176, 8209, 4704, 1596, 16171, 10578, 1106, 2236, 119, 1109, 149, 6258, 1592, 3529, 14667, 2553, 1110, 2011, 1106, 4929, 5236, 18383, 1116, 1206, 1160, 2774, 12980, 1107, 16251, 1714, 2303, 113, 176, 8209, 4704, 1596, 4018, 114, 119, 1109, 8364, 117, 10735, 1105, 8432, 19019, 1116, 12759, 1103, 21586, 1132, 19232, 1105, 9130, 1118, 1103, 20346, 1116, 4841, 5821, 13894, 1306, 119, 1109, 20346, 1116, 4841, 5821, 13894, 1306, 2923, 1104, 1317, 15412, 117, 1105, 1141, 1104, 1292, 1110, 1103, 8364, 20346, 1116, 2587, 119, 2098, 1514, 3053, 1110, 1103, 8670, 1104, 12630, 18383, 4647, 1206, 2774, 12980, 1496, 1106, 1103, 8364, 3154, 119, 1706, 1202, 1177, 117, 1122, 1144, 1106, 4959, 1103, 8364, 5924, 1104, 1103, 2774, 12980, 117, 8199, 1147, 8364, 1231, 1399, 7008, 1116, 1105, 28117, 1116, 2093, 6451, 21883, 16652, 119, 1130, 1142, 2526, 1195, 1437, 1293, 1142, 1169, 1129, 3890, 1106, 1103, 8759, 10893, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1142, 2526, 117, 1195, 2025, 1103, 2463, 1104, 1103, 1664, 24984, 8234, 1104, 24034, 4654, 8788, 22729, 5685, 1111, 1103, 16127, 12374, 11838, 119, 1109, 2463, 1110, 2376, 1107, 1103, 5618, 1104, 170, 7987, 3288, 2860, 2463, 1114, 2233, 1549, 1113, 1160, 26280, 177, 24312, 6385, 11931, 7954, 1116, 1105, 4051, 16408, 13461, 5332, 20811, 13794, 4233, 119, 1284, 4586, 1126, 3796, 1105, 3527, 1757, 1871, 1111, 1103, 2000, 4974, 19528, 1121, 1216, 2233, 1105, 1437, 1115, 1103, 3694, 2000, 4974, 5149, 1103, 8234, 1104, 1160, 24034, 4654, 8788, 22729, 5685, 176, 1200, 14503, 1916, 1121, 1103, 3288, 13794, 4233, 119, 1130, 1103, 2000, 4974, 117, 1103, 16408, 13461, 5332, 20811, 13794, 4233, 21146, 15446, 1566, 1373, 124, 118, 8611, 26280, 177, 24312, 6385, 11931, 7954, 1116, 9455, 26338, 1158, 1106, 1103, 2174, 1104, 1103, 2233, 119, 1706, 1103, 1763, 1104, 1103, 6326, 117, 1103, 2000, 4974, 1169, 1129, 1354, 1104, 1112, 4051, 1160, 2457, 117, 1664, 118, 24775, 24034, 4654, 8788, 22729, 5685, 1105, 1103, 6326, 5149, 1103, 1148, 5374, 1104, 1147, 1664, 24984, 8234, 119, 3458, 3622, 8559, 1106, 1103, 1805, 1763, 1147, 1148, 8234, 1105, 2196, 1115, 1103, 2000, 4974, 1253, 2606, 5307, 1283, 1121, 1103, 5542, 21146, 15446, 1916, 2510, 5685, 119, 1109, 2058, 1104, 1292, 2000, 4974, 1116, 1132, 13241, 1107, 1226, 1118, 1103, 5719, 14077, 7995, 1104, 4340, 118, 23544, 10127, 1105, 156, 3171, 4188, 1279, 119, 1109, 3136, 1104, 1142, 2526, 1169, 1129, 3666, 1106, 1126, 1256, 2610, 1705, 1104, 7987, 2233, 1105, 1107, 2440, 12942, 1126, 4973, 1104, 1103, 10384, 1113, 3855, 1104, 7333, 9902, 1118, 4028, 5412, 6094, 24491, 1105, 148, 15858, 14170, 118, 11945, 11091, 5437, 117, 3525, 1664, 118, 23594, 2233, 1113, 1103, 3288, 16248, 177, 24312, 6385, 11931, 7954, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 11594, 146, 1195, 2799, 1115, 4321, 118, 4065, 3245, 13169, 5871, 8867, 1104, 1523, 118, 2076, 14061, 26341, 117, 11168, 1107, 1103, 2070, 14255, 25379, 117, 1107, 12193, 20695, 117, 1105, 1107, 161, 118, 11611, 117, 1132, 19957, 1218, 27053, 4423, 1147, 22740, 1105, 15442, 6102, 119, 1130, 1142, 1250, 1195, 1675, 1207, 2686, 1121, 170, 11435, 3622, 1107, 1546, 1106, 22829, 1105, 186, 27280, 6120, 1292, 185, 10436, 6758, 22176, 4125, 119, 1188, 1110, 8587, 1118, 11950, 2991, 161, 118, 7586, 113, 121, 119, 124, 118, 123, 119, 121, 2391, 2559, 114, 181, 14088, 14226, 4233, 117, 143, 18172, 117, 2070, 14255, 25379, 117, 12193, 20695, 117, 139, 118, 1467, 117, 1105, 26331, 181, 14088, 14226, 4233, 1111, 170, 6876, 1104, 1695, 2652, 118, 1113, 1523, 118, 2076, 14061, 26341, 119, 23125, 2851, 3855, 24091, 117, 1216, 1112, 18659, 2069, 1116, 117, 1132, 3552, 1105, 170, 11435, 18741, 3622, 1110, 2446, 1149, 119, 1284, 1525, 2012, 7378, 18741, 1116, 117, 4576, 1120, 1655, 1160, 3791, 1104, 10094, 117, 1206, 2851, 3855, 24091, 1105, 6576, 113, 10437, 116, 5871, 2858, 114, 181, 14088, 14226, 4233, 1107, 1155, 2262, 4003, 10198, 1116, 119, 1130, 1901, 1106, 1103, 1218, 1628, 149, 168, 143, 18172, 120, 149, 168, 122, 119, 125, 2349, 3048, 1584, 118, 6796, 117, 1195, 1437, 1207, 1105, 3023, 2418, 7378, 12864, 15672, 1206, 6576, 2991, 161, 118, 7586, 181, 14088, 14226, 4233, 1105, 143, 18172, 117, 2070, 14255, 25379, 117, 12193, 20695, 117, 139, 118, 1467, 117, 1105, 26331, 181, 14088, 14226, 4233, 119, 9841, 117, 6576, 2991, 161, 118, 7586, 181, 14088, 14226, 4233, 1884, 18337, 2193, 1218, 1114, 18659, 2069, 1116, 1105, 1103, 2308, 7758, 1154, 1103, 19432, 2107, 1118, 156, 2249, 1162, 119, 1109, 1269, 3486, 1191, 1292, 12709, 1132, 4928, 1906, 1222, 2991, 5871, 2858, 161, 118, 7586, 181, 14088, 14226, 4233, 119, 2809, 170, 4780, 18741, 5903, 1206, 1103, 6693, 3367, 1104, 170, 15593, 1105, 1103, 7671, 161, 118, 7586, 181, 14088, 14226, 1785, 119, 3841, 2991, 161, 118, 7586, 181, 14088, 14226, 4233, 117, 2927, 15136, 1596, 117, 1105, 145, 2240, 118, 3245, 12980, 117, 1185, 2418, 18741, 1116, 1132, 1276, 119, 1247, 3093, 1106, 4056, 170, 3607, 7758, 2308, 1118, 156, 2249, 1162, 1154, 1103, 19432, 2107, 1137, 170, 18659, 2069, 11810, 1111, 4321, 118, 4065, 5871, 8867, 1106, 1437, 1146, 119, 1135, 1110, 1253, 1136, 2330, 2480, 1142, 11810, 1110, 170, 2952, 1137, 1126, 6337, 7449, 15750, 5310, 119, 1636, 9505, 5473, 1619, 1412, 2166, 2686, 117, 1133, 4139, 1114, 1103, 3400, 1104, 5871, 8867, 1217, 1496, 1106, 1107, 8877, 1158, 3245, 1121, 1103, 146, 23169, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 138, 23885, 4321, 2553, 2227, 2235, 113, 14748, 2107, 114, 5149, 170, 4091, 3735, 1166, 1103, 4658, 1104, 170, 1383, 1104, 5789, 119, 1448, 2674, 1104, 3044, 1164, 5789, 112, 4658, 1336, 1435, 1121, 1342, 10681, 4474, 2941, 3622, 117, 1112, 3297, 1118, 1317, 23885, 1342, 16539, 1872, 1107, 2793, 1201, 119, 14748, 25866, 1704, 3708, 1142, 3136, 1106, 6848, 16439, 23190, 117, 1359, 1113, 1342, 14256, 1137, 1168, 3509, 1104, 3044, 7343, 1113, 8810, 1164, 3677, 4658, 119, 1706, 20873, 1103, 18605, 1104, 14748, 25866, 117, 1195, 8245, 1342, 118, 4408, 3584, 1115, 2621, 5250, 2822, 15197, 5562, 1260, 27444, 1121, 15784, 117, 1112, 1218, 1112, 3584, 1359, 1113, 1119, 26900, 2168, 3026, 119, 1284, 8242, 1210, 1472, 4069, 1104, 26975, 1292, 3584, 1154, 170, 1423, 2235, 4311, 1103, 3490, 3044, 3509, 119, 1706, 17459, 1103, 17163, 2109, 2099, 1104, 1103, 3490, 2235, 117, 1195, 7299, 1112, 4315, 9386, 1103, 4658, 1666, 1118, 170, 21293, 1880, 3776, 1965, 119, 1284, 1525, 1115, 12459, 1103, 1160, 3044, 3509, 117, 1606, 1251, 1104, 1103, 4069, 117, 2790, 1618, 23770, 1190, 1719, 2674, 2041, 119, 3841, 1103, 4612, 4069, 117, 7021, 2233, 1149, 3365, 13199, 1116, 1103, 4893, 4528, 1105, 2904, 11984, 4069, 10788, 1107, 1142, 20607, 3443, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 14133, 1160, 8015, 1106, 14306, 118, 155, 1663, 4119, 1811, 12676, 1116, 1104, 1822, 2366, 1785, 119, 1109, 12477, 23984, 1193, 107, 107, 9483, 107, 107, 3735, 1348, 3545, 1104, 144, 10771, 1732, 1105, 157, 7297, 10415, 1110, 2602, 1106, 1129, 10887, 4049, 1107, 1103, 1167, 1704, 3545, 1104, 1664, 24984, 3735, 1348, 12053, 1107, 1103, 2305, 1104, 9518, 20972, 8221, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 10537, 3735, 1104, 1103, 1843, 2187, 9150, 1113, 1103, 13100, 1104, 1103, 12700, 3910, 2606, 10527, 119, 1284, 5996, 1106, 4959, 1122, 1606, 6700, 1193, 1276, 4625, 1104, 1103, 3778, 5871, 2858, 4546, 119, 10364, 117, 1103, 3778, 5871, 2858, 2940, 1105, 176, 2858, 23601, 1197, 13687, 1532, 170, 13213, 2008, 1449, 117, 1112, 1218, 1112, 1843, 2187, 9150, 1202, 117, 1105, 1152, 7601, 1107, 1103, 1269, 22729, 1768, 119, 1409, 1195, 4392, 1142, 26799, 117, 1195, 1169, 1437, 1115, 1103, 10537, 3735, 1104, 1103, 1843, 2187, 9150, 1431, 1129, 3023, 1126, 1548, 3329, 27098, 1105, 1138, 170, 4295, 4177, 1485, 109, 165, 12534, 27599, 165, 27466, 1306, 2260, 109, 196, 1557, 120, 188, 198, 119, 1109, 3735, 1110, 5733, 1472, 1121, 1103, 10593, 1141, 119, 1284, 19774, 1103, 2933, 1104, 1103, 3735, 3053, 1113, 1103, 2686, 1104, 1843, 2187, 11432, 7857, 119, 1135, 1110, 1276, 1115, 1103, 2904, 11432, 4344, 1431, 11271, 4430, 5382, 1121, 1103, 1141, 10056, 1121, 1103, 10593, 3735, 1114, 109, 165, 27466, 3263, 4426, 10423, 109, 196, 1557, 120, 188, 198, 117, 1134, 1110, 7228, 1111, 2904, 11432, 7857, 113, 1103, 6022, 9113, 1113, 1103, 21819, 4625, 1105, 3417, 4887, 1439, 1103, 2079, 1206, 127, 1105, 121, 119, 123, 114, 119, 9841, 117, 1103, 4295, 7762, 1121, 1103, 10593, 3735, 1169, 1129, 1304, 6818, 1106, 1103, 9959, 1104, 1843, 2187, 1126, 2605, 20473, 1891, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 138, 7091, 12753, 15119, 2235, 1114, 170, 3216, 12068, 17719, 3735, 1110, 2376, 1223, 1103, 5357, 10605, 3556, 156, 16234, 2118, 113, 144, 15928, 114, 5471, 119, 1109, 3216, 2235, 2923, 1104, 1160, 3741, 1104, 18064, 119, 1109, 11810, 3220, 1104, 1141, 1383, 1104, 18064, 1132, 19729, 3468, 1121, 170, 12068, 17719, 3735, 1114, 170, 2440, 12068, 17719, 7448, 117, 1105, 1330, 1383, 1104, 18064, 1114, 170, 1472, 7448, 119, 1109, 7021, 17378, 1103, 3607, 6600, 1104, 1103, 15119, 1105, 1103, 8516, 1104, 3607, 6600, 1114, 1103, 2971, 1104, 7021, 1110, 3552, 1606, 170, 5250, 2822, 15197, 5562, 3442, 1187, 1103, 6298, 6829, 1110, 2569, 21711, 27372, 2716, 119, 1130, 170, 1957, 1692, 1134, 1195, 20873, 117, 1103, 3607, 6600, 1110, 1276, 1106, 7907, 7378, 1193, 1114, 1103, 7021, 17816, 119, 1109, 3607, 4252, 25387, 1105, 1540, 1644, 9151, 1104, 6007, 170, 7501, 23742, 2060, 3735, 1110, 1276, 1106, 3118, 8362, 23925, 1496, 1106, 7021, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 4615, 170, 109, 185, 109, 118, 2001, 11256, 7243, 2463, 1114, 188, 2430, 7147, 5668, 6524, 1113, 170, 10350, 5777, 109, 141, 165, 18005, 165, 12523, 13834, 196, 155, 198, 167, 173, 109, 1114, 16358, 28008, 12120, 10886, 5765, 5904, 2975, 1111, 109, 122, 133, 185, 133, 165, 1107, 27944, 109, 119, 1109, 5194, 8588, 4647, 1858, 1110, 1549, 1118, 170, 188, 2430, 7147, 5668, 10226, 1107, 1103, 2305, 1104, 1135, 165, 167, 196, 184, 198, 119, 1109, 4301, 7866, 14368, 1121, 1103, 5804, 1107, 1566, 14867, 2165, 7091, 3288, 2233, 109, 190, 168, 121, 109, 1223, 9486, 119, 4187, 1106, 1103, 2869, 2366, 1785, 1104, 1103, 3288, 2233, 117, 10777, 1107, 109, 160, 167, 196, 122, 117, 185, 198, 168, 121, 113, 141, 114, 109, 1132, 1907, 1114, 4161, 1106, 189, 10607, 14520, 1116, 1104, 1103, 5072, 1178, 1105, 3335, 1218, 118, 14114, 1757, 2686, 1138, 1106, 1129, 21650, 1107, 1103, 2305, 1104, 22214, 7995, 119, 1284, 7532, 1103, 9162, 1104, 1231, 13523, 7435, 2200, 5072, 1111, 1142, 2076, 1104, 26765, 27485, 117, 1437, 1218, 118, 14114, 1757, 1107, 1142, 3545, 1105, 2025, 1103, 2392, 3292, 4625, 1104, 7995, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 151, 9664, 2346, 159, 10783, 1105, 159, 2162, 8215, 1127, 1215, 1121, 2115, 1379, 1106, 1772, 1340, 1106, 8804, 1103, 2070, 14255, 25379, 14132, 1106, 1103, 10312, 4728, 1413, 1805, 113, 139, 26161, 114, 1107, 1103, 22087, 1183, 6732, 1204, 15593, 151, 13478, 3731, 19203, 119, 21906, 13689, 1105, 1112, 24655, 2105, 4907, 9959, 1127, 3836, 1120, 1626, 174, 5674, 17704, 119, 1109, 2070, 14297, 1691, 10456, 117, 1177, 21329, 1127, 2609, 1106, 9959, 14827, 1275, 118, 2539, 1552, 1105, 124, 118, 125, 194, 1197, 117, 1105, 2888, 1120, 10260, 22446, 1104, 12794, 1568, 12477, 1116, 134, 21451, 185, 1665, 113, 130, 159, 10783, 9959, 114, 117, 2260, 12477, 1116, 134, 13888, 185, 1665, 113, 130, 159, 10783, 9959, 114, 117, 1137, 123, 119, 124, 12477, 1116, 134, 122, 119, 123, 185, 1665, 113, 124, 159, 2162, 8215, 9959, 114, 119, 1109, 14297, 1110, 6307, 13689, 2716, 7898, 1120, 129, 119, 125, 144, 3048, 1584, 1118, 109, 3081, 165, 9852, 1571, 109, 110, 1105, 109, 3882, 165, 9852, 1571, 109, 110, 1206, 159, 10783, 9959, 4757, 1118, 3746, 1552, 1105, 125, 119, 122, 194, 1197, 117, 3569, 119, 1109, 3746, 118, 1285, 2607, 1132, 10496, 1200, 113, 109, 1627, 165, 9852, 1571, 109, 110, 114, 1120, 125, 119, 130, 144, 3048, 1584, 1105, 8245, 1126, 22996, 10122, 113, 109, 165, 11164, 165, 27466, 1306, 116, 121, 119, 124, 165, 9852, 1568, 119, 122, 109, 117, 109, 156, 165, 21146, 2430, 165, 183, 1358, 167, 196, 116, 165, 11164, 198, 109, 114, 1121, 125, 119, 130, 1106, 129, 119, 125, 144, 3048, 1584, 119, 1109, 14297, 1110, 1112, 24655, 2105, 17211, 1193, 6111, 1120, 129, 119, 125, 144, 3048, 1584, 117, 1106, 1126, 10893, 1104, 1743, 12477, 1116, 134, 1405, 185, 1665, 1206, 159, 10783, 9959, 4757, 1118, 125, 119, 122, 194, 1197, 1105, 1106, 1126, 10893, 1104, 122, 119, 129, 12477, 1116, 134, 121, 119, 4573, 185, 1665, 1206, 159, 2162, 8215, 9959, 4757, 1118, 124, 119, 122, 194, 1197, 119, 5723, 6307, 13689, 15661, 26468, 1105, 1112, 24655, 2105, 4907, 9397, 1110, 8080, 1114, 170, 1602, 4569, 1217, 1103, 10010, 2308, 2674, 1111, 1103, 139, 26161, 117, 1133, 1110, 20405, 1111, 2851, 10005, 3584, 1115, 7299, 1103, 139, 26161, 1112, 170, 10114, 7688, 14570, 22499, 1105, 117, 1111, 151, 13478, 3731, 19203, 117, 4752, 170, 1207, 7688, 14570, 1856, 1451, 122, 119, 128, 194, 1197, 1439, 1126, 3903, 12717, 109, 187, 168, 174, 134, 109, 3565, 12477, 1116, 134, 1659, 185, 1665, 119, 138, 1996, 3077, 1120, 129, 119, 125, 144, 3048, 1584, 1114, 6021, 23045, 12477, 1116, 134, 8301, 185, 1665, 1108, 3836, 1118, 5321, 2233, 1121, 186, 6592, 1279, 8298, 159, 10783, 9959, 119, 1188, 3077, 2196, 7859, 16516, 23043, 1813, 27645, 188, 4487, 16166, 1103, 2070, 14297, 1105, 14827, 1367, 10591, 2217, 1665, 134, 127, 119, 125, 180, 1643, 1665, 119, 1636, 188, 27250, 8167, 3329, 3484, 118, 9712, 26927, 27645, 1180, 1129, 4940, 1118, 5930, 20397, 1137, 170, 16516, 23043, 1813, 3223, 1121, 1103, 22087, 1183, 6732, 1204, 122, 14297, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1731, 170, 2703, 2443, 1110, 3387, 10268, 1193, 15791, 1157, 14189, 1105, 3053, 119, 14286, 19673, 2116, 117, 1103, 6468, 1106, 4154, 3387, 1757, 1852, 18258, 1901, 1104, 6743, 117, 1108, 1263, 2475, 1106, 1129, 6803, 1133, 2793, 18294, 2554, 1113, 107, 107, 12154, 1679, 19673, 2116, 107, 107, 5401, 1115, 1122, 1547, 1112, 1218, 1129, 19959, 26728, 8163, 1191, 6743, 4845, 1111, 1901, 119, 3446, 1195, 19774, 1103, 17599, 21442, 10748, 10311, 19959, 26728, 8163, 1679, 19673, 2116, 5669, 1105, 7063, 170, 2012, 3772, 1104, 1423, 5088, 14101, 119, 1284, 1437, 1115, 1107, 13179, 6591, 1679, 19673, 2116, 5669, 117, 1259, 1343, 15959, 12154, 1679, 19673, 2116, 117, 1423, 6743, 1202, 1136, 21497, 170, 19959, 26728, 8163, 7275, 1107, 1103, 2026, 10005, 2060, 1107, 1103, 1103, 9019, 22320, 12881, 1596, 5310, 119, 8094, 117, 1412, 2686, 13426, 1115, 1111, 1415, 10996, 2344, 1423, 6743, 1336, 1253, 21497, 184, 4832, 1200, 12598, 18249, 1272, 7275, 10855, 3418, 19057, 19669, 2716, 1114, 1449, 2060, 119, 3728, 7588, 23639, 5864, 22258, 13687, 1884, 11708, 1776, 2411, 1196, 1103, 6468, 117, 2456, 14563, 19959, 26728, 8163, 1679, 19673, 2116, 119, 1636, 2686, 4137, 1293, 1423, 6743, 1336, 23173, 1849, 23639, 5864, 22258, 24466, 1107, 6379, 1187, 6743, 5194, 6591, 1193, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 9126, 3121, 7435, 3403, 10700, 1187, 7539, 1132, 4379, 1120, 1317, 1472, 12879, 1132, 1276, 119, 18525, 1116, 1132, 4260, 1106, 8245, 10848, 16558, 1105, 1138, 170, 6029, 1193, 118, 4901, 10592, 119, 1650, 10848, 16558, 117, 1122, 1110, 2318, 1115, 1141, 1334, 1104, 170, 4010, 1110, 1103, 5220, 3077, 1104, 1157, 3714, 1334, 119, 18036, 1126, 17307, 5072, 1110, 2412, 170, 1662, 2463, 119, 18101, 117, 16558, 6551, 2621, 22828, 1105, 1107, 7926, 8588, 7995, 1106, 1129, 1276, 119, 1448, 1216, 17307, 3403, 5564, 2923, 1104, 11027, 183, 12879, 19474, 4757, 1113, 1103, 1544, 118, 4726, 1105, 4501, 1106, 170, 2211, 4930, 1104, 1103, 9750, 1104, 1136, 11552, 1158, 7539, 119, 1249, 1185, 2988, 3044, 1104, 1103, 4010, 10592, 1110, 2320, 117, 1216, 3403, 10700, 1132, 1145, 17351, 117, 170, 17483, 2672, 1107, 3403, 1105, 11432, 6178, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0 ]

[ 101, 107, 26376, 11143, 21371, 17973, 117, 1216, 1112, 1115, 1104, 1103, 18165, 1183, 4714, 117, 1138, 1932, 170, 2703, 2401, 4721, 1104, 170, 4240, 1105, 170, 3528, 6552, 119, 1109, 2025, 1104, 20003, 19102, 6187, 4841, 25198, 1116, 1105, 1147, 5408, 1169, 8478, 1609, 1113, 1103, 15593, 3919, 5521, 6647, 5669, 1105, 1147, 7243, 119, 1438, 117, 1496, 1106, 8310, 1348, 7866, 1175, 1110, 170, 2960, 1104, 1869, 1164, 1103, 21371, 6623, 1104, 1103, 3528, 6187, 5644, 1107, 6298, 26341, 119, 3446, 1195, 8242, 1210, 2652, 118, 1113, 1346, 118, 2076, 6187, 26341, 1107, 1103, 1370, 1605, 1775, 10005, 146, 1658, 23493, 1571, 117, 151, 13478, 17668, 18910, 1592, 117, 151, 13478, 17668, 1604, 1475, 1118, 1606, 6783, 1907, 6307, 13689, 1348, 2233, 1105, 1412, 1207, 1996, 1263, 118, 19884, 188, 26426, 5864, 20739, 1373, 20003, 19102, 2286, 118, 10025, 3836, 1114, 1103, 1275, 118, 182, 13411, 26909, 16737, 119, 1284, 2592, 1115, 2418, 2607, 1104, 1103, 21371, 1416, 4625, 2894, 1103, 12717, 1187, 6307, 13689, 1348, 21138, 10541, 170, 5656, 1132, 2416, 1118, 1126, 4138, 3528, 6187, 6436, 119, 12126, 1197, 1416, 4625, 1107, 1103, 6144, 10019, 3528, 118, 6187, 6226, 4001, 10541, 19957, 1385, 6776, 1105, 170, 1822, 13256, 1785, 119, 1284, 19348, 1292, 9505, 1112, 170, 9547, 1104, 2851, 3855, 15027, 11273, 1158, 1107, 1103, 6144, 10019, 4001, 1104, 1103, 17973, 1496, 1106, 26084, 2997, 3245, 6322, 2624, 1121, 1103, 6187, 27152, 1120, 1103, 2150, 1104, 1103, 10005, 5839, 1229, 4194, 2851, 3855, 9939, 1107, 1103, 5047, 17973, 1217, 6044, 4252, 1916, 22794, 1118, 26389, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 10236, 3418, 2401, 13634, 1132, 2620, 1103, 1397, 2020, 17357, 1104, 1884, 26358, 7810, 1869, 119, 1135, 1110, 3335, 10268, 1106, 1231, 4567, 4999, 17163, 1147, 184, 4832, 1200, 12598, 1116, 119, 1109, 27007, 2109, 3479, 9560, 1104, 10236, 20334, 25341, 1116, 113, 142, 26321, 10008, 15928, 1708, 114, 2790, 170, 23487, 1193, 14255, 4121, 11549, 1679, 20362, 19632, 2749, 1111, 1103, 19057, 1664, 118, 7378, 6716, 117, 1187, 1843, 2187, 18741, 4226, 1132, 3254, 18505, 1107, 1126, 4298, 1104, 1103, 4003, 12603, 3169, 180, 1166, 1103, 4003, 12603, 3169, 2628, 1106, 1103, 1664, 118, 7378, 3418, 18325, 1233, 119, 1706, 4684, 1103, 23770, 1106, 2299, 4003, 12603, 11697, 117, 1122, 1110, 3238, 1106, 3254, 22662, 1103, 123, 118, 7812, 2187, 1540, 10122, 119, 1370, 4463, 118, 1159, 1884, 18337, 11664, 117, 2839, 1112, 1114, 2530, 1679, 20362, 20362, 19632, 2749, 117, 1175, 1132, 146, 2069, 23448, 12329, 1116, 1675, 1107, 1296, 18217, 1115, 19722, 2423, 1107, 1103, 1509, 1871, 119, 1284, 3689, 170, 3442, 1118, 1134, 1155, 123, 118, 7812, 18217, 1116, 1132, 3254, 18505, 1112, 1141, 10226, 117, 1114, 1126, 1107, 1566, 14867, 3276, 1115, 1110, 23487, 1193, 1714, 1104, 1251, 146, 2069, 23448, 12329, 1116, 119, 1188, 3643, 1366, 1106, 3254, 22662, 1103, 123, 118, 7812, 1540, 188, 26426, 1611, 1107, 170, 10682, 1236, 1115, 1110, 1277, 1750, 18294, 1193, 10467, 1190, 2530, 4884, 119, 1284, 6058, 1412, 3442, 1106, 188, 7867, 1158, 6271, 1116, 1187, 1103, 7378, 1540, 10122, 1110, 170, 1423, 1540, 1644, 1104, 180, 117, 1105, 1187, 146, 2069, 23448, 12329, 1116, 1169, 2521, 3253, 15891, 1114, 8026, 10540, 1104, 7812, 22590, 1116, 1191, 1136, 8630, 4727, 119, 1284, 1437, 1115, 1412, 2686, 1132, 2457, 1104, 146, 2069, 2195, 5792, 1105, 117, 1170, 1231, 13523, 7435, 2734, 117, 1104, 1103, 26331, 2195, 5792, 117, 1105, 7368, 1293, 1103, 3442, 2756, 1303, 8534, 1704, 9534, 1106, 2299, 17806, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1188, 1110, 170, 2592, 1113, 2793, 5070, 1105, 9093, 1290, 1103, 151, 14962, 2101, 112, 4850, 3047, 1107, 1954, 1105, 2174, 1263, 2259, 2568, 113, 199, 122, 1557, 114, 1105, 1304, 1263, 2259, 2568, 113, 199, 1620, 118, 4645, 1557, 114, 184, 1116, 23694, 2116, 7857, 1120, 25521, 119, 1636, 7857, 117, 1223, 2218, 19129, 117, 1169, 3106, 1231, 7235, 2050, 5082, 5822, 1103, 4422, 3367, 2401, 1104, 1103, 11267, 24928, 3818, 16987, 1105, 2194, 8087, 2774, 1104, 6644, 1105, 15129, 24928, 3818, 16987, 2645, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1249, 1114, 1251, 1602, 4569, 117, 1112, 17162, 6451, 14426, 2716, 2848, 118, 1260, 20985, 2083, 15587, 1602, 7996, 1132, 1758, 1118, 170, 1353, 1295, 1104, 11934, 117, 1259, 170, 107, 107, 3367, 17816, 107, 107, 109, 150, 109, 1115, 13822, 1106, 1103, 24930, 1708, 118, 20452, 24156, 11819, 9022, 2723, 1181, 3367, 1107, 1103, 5310, 1104, 3498, 10506, 17553, 11550, 119, 1130, 4295, 5014, 1106, 1103, 1112, 17162, 6451, 14426, 2716, 3596, 1692, 117, 1103, 11385, 1298, 1104, 1216, 170, 1602, 4569, 6986, 1114, 1103, 17553, 11550, 17816, 109, 170, 109, 1191, 1141, 8239, 1279, 109, 150, 109, 117, 1142, 2691, 1106, 1928, 1115, 1103, 23544, 10127, 1965, 1107, 1142, 1692, 1156, 26586, 1103, 2307, 2601, 1104, 1602, 4569, 1103, 9019, 22320, 12881, 4724, 119, 1284, 1437, 1115, 1103, 5663, 7791, 1110, 1106, 8239, 1136, 109, 150, 109, 1133, 1897, 1103, 107, 107, 2952, 107, 107, 3367, 109, 142, 134, 150, 120, 113, 122, 118, 170, 167, 123, 120, 149, 167, 123, 114, 167, 123, 109, 117, 1142, 1110, 13241, 1118, 1103, 1752, 2601, 119, 1370, 1173, 1103, 11385, 1298, 19377, 1114, 109, 170, 109, 119, 1284, 18029, 1115, 109, 142, 109, 1579, 1129, 1215, 1112, 1103, 3367, 1107, 2952, 5669, 131, 1111, 1859, 117, 1107, 4021, 1106, 107, 107, 1166, 118, 6898, 107, 107, 24930, 1708, 118, 15587, 1602, 7996, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 22401, 5326, 7904, 118, 3528, 1119, 20192, 22976, 171, 14824, 1179, 11437, 19091, 2007, 113, 177, 118, 139, 2249, 114, 1110, 4215, 1113, 10873, 7582, 1113, 14159, 1658, 113, 1288, 1475, 114, 117, 1118, 7401, 1104, 1103, 10873, 7582, 1106, 171, 6533, 25593, 117, 113, 139, 3048, 114, 124, 113, 20576, 114, 124, 117, 1120, 24450, 140, 119, 1109, 177, 118, 139, 2249, 2441, 1532, 199, 123, 118, 17599, 19401, 2060, 19707, 1114, 170, 6349, 10592, 1104, 1476, 4842, 5236, 1106, 1103, 2473, 10873, 7582, 119, 8274, 118, 2308, 11267, 17599, 11428, 5005, 1110, 4071, 1106, 2194, 18379, 17926, 1104, 1103, 1295, 1105, 5239, 1104, 1160, 118, 8611, 113, 22947, 114, 10025, 1506, 1103, 2473, 119, 1636, 19707, 1132, 1276, 1106, 1532, 1118, 24393, 1111, 1103, 2473, 10873, 7582, 117, 1114, 1103, 140, 14296, 1666, 1118, 1142, 24393, 1173, 1217, 4572, 2071, 1103, 177, 118, 139, 2249, 113, 1120, 1103, 8551, 1206, 1103, 3685, 10873, 7582, 1105, 1103, 14159, 1658, 114, 1106, 1532, 170, 1207, 10873, 7582, 4261, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 2304, 1104, 12783, 1103, 1372, 12133, 1104, 10996, 3533, 16016, 1116, 1105, 12365, 23436, 1108, 1148, 14114, 1107, 148, 119, 148, 2180, 7272, 1105, 147, 119, 10575, 117, 165, 3087, 2875, 196, 9974, 1785, 1104, 10996, 3533, 16016, 1116, 198, 117, 22509, 1104, 9833, 113, 123, 114, 165, 3087, 1830, 2087, 196, 5385, 198, 113, 2477, 114, 117, 11965, 118, 118, 7690, 117, 13241, 1118, 1103, 3460, 13063, 4165, 14572, 15840, 16996, 1104, 148, 119, 148, 2180, 7272, 1105, 147, 119, 10575, 117, 165, 3087, 2875, 196, 2586, 2176, 6766, 1596, 2749, 1104, 6555, 117, 196, 146, 198, 131, 196, 153, 198, 13840, 1162, 25898, 10384, 1111, 10996, 3533, 16016, 1116, 1105, 6555, 198, 117, 13809, 22946, 1104, 1103, 1237, 16298, 2015, 165, 3087, 1830, 2087, 196, 13096, 198, 113, 2679, 114, 117, 10181, 118, 118, 3993, 1527, 119, 3446, 1195, 2194, 1126, 3903, 2211, 4930, 1111, 1372, 12133, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0 ]

[ 101, 107, 1109, 2526, 8927, 1114, 1664, 118, 15784, 1103, 9019, 22320, 12881, 4724, 1359, 1113, 8050, 1465, 14602, 1596, 11287, 3707, 6978, 1114, 1103, 15710, 1104, 6103, 1122, 1112, 1126, 4174, 3026, 1106, 4137, 1103, 2793, 4379, 170, 19515, 11194, 7969, 4065, 1104, 1103, 6271, 119, 7993, 19942, 1179, 11838, 117, 1122, 1110, 2602, 1115, 1103, 1260, 18389, 17166, 17816, 113, 109, 186, 109, 114, 1169, 1129, 3836, 1121, 1103, 3044, 1104, 1103, 11287, 1707, 2603, 113, 109, 165, 23039, 109, 114, 119, 12556, 3121, 18588, 1121, 1103, 9019, 22320, 12881, 4571, 1553, 1104, 2458, 117, 1884, 26358, 7810, 7995, 1132, 17428, 1111, 1103, 11287, 3707, 5600, 1107, 1210, 21545, 12877, 117, 8199, 117, 15503, 117, 2187, 6226, 1105, 1675, 1523, 1159, 18383, 119, 1109, 1260, 18389, 17166, 17816, 113, 109, 186, 109, 114, 1110, 4448, 1112, 170, 3053, 1104, 1103, 1894, 5933, 4964, 17816, 113, 109, 195, 109, 114, 117, 1105, 1157, 8516, 1110, 2756, 23885, 1193, 119, 2907, 117, 1352, 27038, 3622, 1144, 1151, 2756, 23885, 1193, 1107, 1210, 1472, 12877, 1104, 1103, 6271, 119, 4428, 117, 1160, 1664, 118, 24775, 24024, 1114, 1472, 11287, 3707, 5600, 1132, 1737, 1112, 21545, 4841, 16468, 8928, 117, 1105, 1260, 18389, 17166, 17816, 113, 109, 186, 109, 114, 1110, 17428, 119, 1135, 1110, 8600, 2480, 1167, 1190, 1141, 6468, 1104, 109, 186, 109, 1110, 1936, 1137, 1136, 1118, 23885, 16539, 119, 107, 102 ]

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

[ 101, 107, 1109, 11128, 2603, 1104, 1423, 182, 11848, 1179, 2390, 1121, 1103, 4042, 144, 9664, 16769, 15122, 7700, 5383, 9245, 1110, 8600, 1219, 1103, 8149, 9583, 16223, 113, 144, 17516, 114, 1104, 1364, 1405, 117, 1630, 119, 1109, 144, 17516, 1108, 1562, 1118, 25636, 8804, 2930, 3992, 1170, 1103, 1159, 1104, 1103, 6644, 161, 118, 7586, 20646, 119, 144, 9664, 16769, 112, 188, 1423, 182, 11848, 1179, 2233, 1132, 2756, 1105, 3402, 1114, 25636, 8804, 2233, 1121, 140, 24891, 7897, 117, 13164, 117, 1105, 152, 14693, 119, 1109, 1423, 182, 11848, 1179, 2233, 1138, 1928, 2425, 1125, 3484, 21963, 2299, 1190, 1343, 1104, 1292, 25636, 8804, 2930, 1105, 1177, 4651, 1869, 1164, 2299, 2308, 1125, 19298, 119, 1370, 1103, 1423, 182, 11848, 1179, 2233, 1111, 4042, 144, 9664, 16769, 117, 1103, 144, 17516, 1110, 11168, 1120, 170, 11435, 7467, 1104, 127, 119, 122, 118, 27466, 14721, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 3291, 7666, 1162, 9478, 1158, 4884, 2906, 170, 10480, 4174, 1106, 1415, 118, 3418, 14314, 1116, 1104, 2703, 9652, 1348, 2344, 117, 1112, 1263, 1112, 1103, 23137, 118, 9478, 1174, 1449, 1110, 5098, 4702, 1104, 1103, 3288, 1141, 119, 3446, 117, 1195, 8242, 1293, 1103, 9652, 1348, 4625, 1104, 184, 1116, 23694, 2772, 6379, 1132, 4634, 1165, 1199, 15029, 1132, 4564, 1487, 1106, 1532, 170, 23137, 118, 9478, 1174, 2443, 119, 9841, 117, 1195, 1437, 1115, 1175, 5903, 170, 1236, 1104, 23291, 15029, 16593, 1112, 1277, 1112, 1936, 1199, 10268, 5402, 1104, 1103, 2443, 14189, 119, 1188, 23137, 9478, 1158, 3136, 2790, 170, 5616, 3442, 1106, 27466, 8223, 22881, 2703, 184, 1116, 23694, 2772, 6379, 117, 1105, 1167, 2412, 1251, 2443, 2133, 14189, 6808, 170, 2001, 1643, 1742, 13017, 8952, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1188, 1250, 117, 1195, 6058, 1103, 10046, 9503, 14314, 1116, 1106, 2025, 1103, 8364, 4625, 1105, 9806, 4658, 1104, 170, 4160, 120, 5963, 2702, 1554, 9014, 1673, 2401, 161, 168, 2539, 1187, 1103, 5961, 161, 1169, 1129, 3346, 1106, 1251, 8364, 18858, 119, 1284, 2817, 1412, 2025, 1113, 170, 1449, 1824, 1118, 170, 2702, 11036, 5071, 170, 4160, 118, 5963, 119, 1109, 1160, 23440, 1132, 4051, 1103, 26670, 131, 156, 134, 122, 120, 123, 1107, 1103, 4160, 132, 1105, 196, 165, 27466, 14721, 198, 134, 122, 1107, 1103, 5963, 117, 3569, 119, 1130, 170, 1148, 2585, 117, 1195, 8242, 1105, 6265, 1103, 7671, 1747, 1352, 4065, 18217, 1116, 1107, 1472, 10025, 119, 2907, 117, 1195, 8292, 1103, 4658, 1104, 1103, 24197, 20412, 1105, 1103, 2629, 1104, 1103, 22728, 3670, 10393, 1112, 1218, 1112, 1103, 8626, 1768, 119, 1109, 2629, 1104, 1103, 6298, 8364, 1768, 117, 1105, 1103, 3670, 22728, 10393, 1113, 1103, 177, 21878, 16317, 17806, 1138, 1151, 22457, 119, 1706, 2335, 1142, 2025, 117, 1195, 2799, 1103, 3796, 1104, 1103, 9806, 4143, 1111, 1103, 2376, 1449, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 27524, 17239, 8310, 1118, 1103, 1693, 118, 14983, 13691, 4434, 24664, 5123, 7498, 12498, 1104, 1103, 4001, 1439, 1164, 1406, 185, 1665, 1104, 1103, 2721, 144, 5521, 28050, 1105, 12727, 2069, 139, 1568, 27677, 1545, 116, 1489, 23609, 3447, 7666, 1138, 3228, 1103, 1444, 1111, 1103, 22873, 21130, 1104, 1275, 118, 1620, 12008, 2559, 5837, 11927, 1116, 23731, 1103, 11168, 21400, 118, 11611, 1106, 1129, 1164, 125, 1775, 10424, 167, 1765, 3975, 167, 123, 188, 167, 118, 122, 117, 1160, 3791, 1104, 10094, 1750, 1190, 1103, 2860, 1932, 2320, 1106, 4137, 20003, 19102, 21545, 7586, 25934, 1120, 1292, 21963, 119, 1188, 1871, 27486, 4095, 1113, 1103, 2912, 1104, 23609, 3447, 7666, 1106, 4137, 1103, 185, 2155, 2875, 3484, 10116, 1807, 1103, 2860, 3552, 1118, 3718, 21545, 7586, 1707, 117, 1780, 1329, 1104, 1160, 4834, 22873, 3584, 26410, 25342, 1116, 1103, 2463, 119, 1135, 1110, 1103, 3007, 1104, 1142, 2526, 1106, 1660, 170, 3014, 11104, 1104, 1103, 5417, 1115, 1103, 19848, 1107, 1103, 23609, 3447, 1813, 16112, 16159, 120, 185, 2155, 2875, 19298, 1169, 1660, 3606, 1106, 1103, 2586, 2087, 7912, 20482, 13949, 1103, 9150, 1132, 2191, 118, 12597, 119, 1760, 3555, 2860, 1104, 1103, 12193, 1186, 22873, 21130, 1104, 124, 1775, 10424, 167, 1765, 3975, 167, 123, 188, 167, 118, 122, 1120, 3862, 12008, 2559, 1110, 1276, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 3935, 1110, 1103, 20513, 1869, 13139, 1197, 1111, 1211, 2952, 2344, 117, 2521, 1177, 1111, 17338, 1105, 1884, 26358, 6360, 117, 1107, 1134, 176, 1611, 24892, 1110, 1104, 18311, 15364, 4495, 117, 1105, 1145, 1111, 4600, 1352, 20705, 1105, 27154, 7213, 13119, 1116, 117, 1107, 1134, 1199, 3154, 1169, 1129, 27180, 7831, 1118, 1664, 118, 142, 21977, 18498, 1389, 1137, 1256, 1664, 118, 155, 1663, 4119, 1811, 176, 8209, 11006, 3377, 119, 4516, 117, 1122, 1110, 4252, 3537, 9080, 1106, 17357, 1609, 4018, 1107, 16735, 1348, 16497, 4174, 1106, 1115, 1104, 1704, 27373, 119, 3446, 1195, 8242, 1142, 2486, 1107, 13179, 12676, 118, 170, 16274, 1162, 7997, 1105, 20292, 113, 178, 114, 1103, 2838, 117, 1107, 1103, 16735, 1348, 11769, 7376, 113, 174, 12260, 7050, 114, 5310, 117, 1111, 1609, 189, 18663, 20302, 1905, 117, 4000, 1115, 1152, 1253, 1132, 26280, 113, 4252, 7877, 7435, 114, 176, 8209, 4704, 4724, 1105, 2456, 117, 1107, 1704, 117, 1185, 2039, 12365, 17482, 22096, 3447, 117, 113, 25550, 114, 170, 13179, 196, 7893, 198, 1106, 6268, 1103, 6796, 1206, 2674, 113, 15593, 114, 1105, 7602, 113, 14440, 114, 17553, 2060, 113, 1298, 114, 12424, 117, 1704, 4404, 142, 8420, 5541, 112, 188, 1560, 2462, 1231, 6617, 1643, 2180, 9041, 6796, 113, 22219, 2069, 114, 117, 1105, 1173, 11892, 1122, 1106, 1160, 2440, 4702, 1664, 118, 155, 1663, 4119, 1811, 176, 8209, 11006, 3377, 119, 1752, 1107, 12676, 118, 12173, 117, 2423, 2848, 5821, 12140, 11048, 1106, 1733, 1988, 176, 8209, 11006, 3377, 117, 1103, 22214, 22219, 2069, 1110, 1136, 2014, 1120, 1155, 117, 1105, 1173, 1107, 1284, 7777, 1107, 1566, 14867, 2165, 2000, 4974, 1116, 117, 1103, 22214, 22219, 2069, 16956, 170, 12493, 3014, 2838, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 6830, 12179, 2463, 1110, 3393, 1112, 3226, 131, 10470, 170, 1383, 109, 153, 109, 1104, 109, 183, 109, 1827, 1107, 1199, 12676, 2000, 109, 113, 161, 117, 141, 114, 109, 117, 3076, 170, 2233, 2401, 1115, 117, 1549, 1251, 1553, 109, 186, 109, 117, 5166, 170, 1553, 1107, 109, 153, 109, 1115, 1110, 7064, 1106, 109, 186, 109, 113, 1157, 107, 107, 6830, 12179, 107, 107, 1107, 109, 153, 109, 114, 119, 1109, 2233, 2401, 4822, 2509, 1869, 1164, 1103, 1383, 109, 153, 109, 117, 1134, 1110, 1173, 1215, 1106, 1525, 1103, 6830, 12179, 1443, 12783, 1155, 12424, 1206, 109, 186, 109, 1105, 109, 153, 109, 119, 1109, 2463, 1144, 170, 2043, 2079, 1104, 4683, 1107, 3395, 3776, 117, 2775, 4152, 117, 19908, 1105, 1168, 3872, 119, 1706, 4851, 1103, 1159, 1834, 1106, 1525, 6830, 11209, 1105, 1103, 2971, 1104, 2962, 1215, 1118, 1103, 2233, 2401, 117, 1141, 1169, 7893, 1566, 1103, 196, 165, 9712, 17325, 198, 6830, 12179, 2463, 117, 1187, 1103, 1103, 2273, 1110, 1106, 1862, 1251, 1553, 109, 185, 112, 165, 1107, 153, 109, 1216, 1115, 1103, 2462, 1121, 109, 186, 109, 1106, 109, 185, 112, 109, 1110, 1120, 1211, 109, 172, 165, 172, 2572, 1204, 165, 11241, 168, 196, 185, 165, 1107, 153, 198, 141, 113, 186, 117, 185, 114, 109, 117, 1111, 1199, 109, 172, 165, 176, 1162, 4426, 122, 109, 119, 3278, 1103, 1314, 1160, 4397, 117, 1242, 7856, 7995, 1106, 1142, 2463, 1127, 1872, 119, 1130, 1142, 3342, 1195, 5980, 1292, 9093, 117, 1112, 1218, 1112, 1147, 6984, 1106, 3243, 1107, 16735, 8458, 3622, 1105, 27481, 24682, 2916, 12053, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 5904, 2975, 1111, 1103, 7891, 150, 23527, 11838, 1113, 170, 4261, 4267, 1116, 118, 15126, 2473, 1132, 10788, 119, 1135, 1110, 2602, 1115, 117, 1111, 170, 1549, 3367, 24256, 1194, 170, 19959, 26728, 21028, 117, 1157, 2076, 9113, 1178, 1113, 1103, 6796, 1206, 1107, 1665, 10655, 118, 189, 1988, 12879, 1104, 170, 8364, 1768, 119, 9841, 117, 1103, 7472, 3892, 1113, 170, 2473, 1104, 19959, 26728, 21028, 2621, 4787, 170, 19959, 26728, 21028, 2076, 1114, 18258, 113, 14255, 6105, 1358, 118, 20796, 1116, 114, 2607, 1107, 1103, 2975, 1104, 13441, 4235, 119, 1599, 1175, 1132, 1103, 1177, 118, 1270, 6468, 7995, 1115, 13692, 7344, 1160, 3322, 1104, 19959, 26728, 10950, 1905, 119, 1284, 6268, 1155, 6468, 7995, 1113, 1103, 3142, 1104, 1103, 2335, 1449, 1104, 5904, 2975, 1111, 1103, 150, 23527, 11838, 119, 1284, 1145, 1276, 1103, 2838, 7645, 170, 5152, 1104, 4422, 2308, 1104, 1103, 13441, 8342, 1194, 1103, 4267, 1116, 118, 15126, 119, 1752, 1193, 117, 1142, 3643, 17217, 170, 22214, 5471, 1104, 1936, 6803, 26829, 1206, 150, 23527, 19959, 26728, 10950, 1905, 119, 2307, 1193, 117, 1122, 13267, 1103, 8179, 1104, 1103, 20917, 1104, 13441, 11187, 1118, 13441, 3476, 1105, 9566, 1104, 1103, 8364, 1768, 1485, 1103, 19959, 26728, 21028, 2473, 117, 178, 119, 174, 119, 117, 1118, 1103, 2076, 1104, 1103, 150, 23527, 19959, 26728, 21028, 119, 1135, 1110, 2602, 1115, 1103, 1436, 2975, 1111, 11187, 1132, 2446, 1149, 1107, 1103, 9748, 1104, 170, 1231, 7235, 21032, 1158, 1954, 6440, 1485, 1103, 1877, 1104, 7936, 16334, 119, 1109, 1871, 1169, 1129, 14739, 1107, 10100, 1103, 4143, 23190, 1656, 1103, 2327, 4001, 1107, 1103, 6644, 1884, 15789, 1219, 20646, 1116, 4379, 1118, 2030, 2000, 184, 4832, 1200, 26465, 24508, 1107, 2991, 1105, 1662, 161, 118, 11611, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 170, 2793, 2526, 1195, 3033, 170, 1266, 1104, 175, 26578, 1906, 123, 118, 16575, 1104, 4240, 2076, 2133, 4701, 2972, 1138, 1160, 1499, 7542, 3769, 119, 3446, 1195, 1675, 17633, 5136, 1104, 1216, 16575, 1115, 1132, 117, 1107, 1901, 117, 21852, 1114, 4161, 1106, 1126, 1107, 6005, 18404, 1105, 1138, 1103, 10471, 1936, 3997, 119, 1188, 3643, 1111, 17217, 170, 124, 118, 18084, 2473, 1107, 1103, 1210, 118, 2000, 1114, 170, 4261, 2447, 1216, 1115, 1103, 2473, 1144, 170, 2129, 16558, 117, 1105, 1103, 4261, 4886, 1104, 1103, 3468, 2447, 1132, 22911, 1105, 8296, 1104, 13157, 1193, 1242, 3387, 5644, 119, 9841, 117, 4701, 3387, 5644, 1104, 1103, 4886, 1138, 1126, 1112, 17162, 6451, 14426, 2447, 117, 1134, 1110, 1496, 1106, 1103, 1864, 1115, 1103, 7671, 175, 26578, 2116, 1113, 1103, 2473, 1107, 1103, 124, 118, 1106, 6208, 1110, 1136, 23990, 14044, 2758, 13328, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 3908, 18091, 2000, 1144, 1126, 22405, 1648, 1107, 24928, 11955, 22274, 119, 1135, 1110, 1675, 1107, 1451, 23292, 1193, 7503, 1449, 1105, 1510, 1215, 1112, 170, 11842, 1751, 1107, 6700, 5982, 117, 1133, 1122, 1144, 1460, 16469, 2209, 3402, 1106, 1103, 1107, 4487, 18091, 5777, 119, 1130, 19903, 13117, 117, 1122, 1110, 1510, 4485, 1112, 170, 14403, 117, 16358, 28008, 9345, 2109, 5143, 1114, 170, 4836, 5880, 6366, 117, 1134, 5958, 27466, 8223, 2646, 16847, 1103, 3254, 19675, 1104, 3908, 18091, 3209, 1116, 119, 1438, 117, 2793, 2527, 1138, 2602, 1115, 1469, 14469, 1596, 22873, 1105, 6707, 7409, 8588, 3154, 1104, 6538, 1193, 2327, 10936, 1116, 1169, 1138, 170, 6432, 3772, 1113, 1103, 3908, 18091, 3209, 119, 1636, 3154, 1169, 1136, 1129, 1758, 1118, 2361, 3584, 117, 1105, 1152, 1138, 1151, 2548, 1106, 10093, 1105, 6700, 18460, 119, 1284, 188, 19091, 2707, 1106, 1660, 1126, 24431, 1166, 2793, 5070, 1107, 13117, 1103, 3908, 18091, 2000, 1114, 1957, 7328, 2019, 1103, 6256, 1105, 3209, 14189, 1113, 1472, 18107, 1105, 15442, 9777, 119, 2677, 3584, 1114, 4966, 19129, 1105, 3001, 1104, 6505, 1132, 3402, 1241, 10093, 1193, 1105, 1118, 2086, 1104, 18294, 14314, 1116, 131, 1103, 4521, 3884, 7780, 113, 20559, 114, 2235, 117, 1134, 1110, 1211, 3933, 1215, 1107, 1532, 1104, 1103, 1413, 2674, 22519, 113, 149, 8055, 114, 132, 1103, 1304, 6448, 117, 1133, 19903, 1193, 12885, 18959, 14788, 1320, 118, 151, 10449, 2050, 118, 7382, 2158, 2235, 1104, 24266, 3309, 3101, 17268, 113, 153, 14576, 114, 132, 1105, 1126, 9533, 1141, 1270, 1103, 11267, 14272, 16010, 2235, 113, 142, 2249, 114, 119, 1109, 2686, 3817, 1437, 1115, 1175, 1110, 1185, 1141, 2235, 1111, 1155, 4683, 117, 1112, 1152, 1437, 5409, 1472, 11317, 2108, 1601, 1106, 24928, 22497, 1348, 10936, 1116, 119, 4428, 117, 1195, 2190, 1199, 1887, 1329, 2740, 1111, 2235, 14314, 1116, 1105, 1660, 11859, 1113, 1134, 2235, 1106, 1329, 1107, 1296, 2820, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 4615, 1126, 22127, 2463, 1111, 1103, 2702, 6440, 3209, 1134, 1169, 1129, 21650, 117, 4742, 12158, 117, 1112, 3226, 119, 1370, 1134, 16193, 10350, 13770, 141, 1107, 142, 21977, 17299, 1811, 2000, 1674, 1103, 6650, 147, 117, 1134, 7415, 170, 3053, 1113, 1103, 5904, 1106, 1103, 5904, 4718, 1104, 1157, 2702, 6440, 3209, 117, 5890, 1103, 174, 13417, 1179, 7501, 4175, 122, 120, 123, 119, 1109, 2304, 1110, 13241, 1118, 5291, 20798, 112, 188, 5072, 1106, 1103, 12120, 10886, 5765, 2463, 1118, 2086, 1104, 1103, 2702, 6440, 3209, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0 ]

[ 101, 107, 1109, 8999, 3510, 7147, 1394, 2815, 6253, 11858, 4412, 2200, 12783, 26213, 5212, 1105, 1110, 170, 5223, 8320, 9501, 119, 1799, 3510, 7147, 1394, 1110, 1354, 3120, 1112, 1103, 3142, 1104, 27400, 2528, 1394, 117, 1157, 4048, 1144, 4215, 1677, 2894, 5354, 6451, 13335, 2149, 5123, 9805, 1496, 1106, 1103, 4784, 1104, 6866, 8216, 119, 13015, 8216, 1132, 2191, 118, 4035, 20586, 3423, 1104, 3594, 117, 1134, 14487, 1105, 1576, 1166, 170, 9882, 3510, 7147, 1394, 119, 7993, 3510, 7147, 1394, 118, 1359, 6866, 8216, 1111, 5343, 1105, 14357, 2635, 1106, 23633, 10393, 113, 16047, 1891, 117, 3797, 117, 1105, 13618, 114, 1107, 4639, 118, 8824, 10152, 117, 2426, 146, 1186, 1942, 117, 1110, 170, 20545, 1298, 1104, 1844, 1105, 2415, 119, 1438, 117, 2269, 3496, 13849, 1105, 2914, 6866, 8216, 1169, 1129, 15194, 1193, 10467, 1272, 1104, 1103, 8277, 27921, 1116, 1104, 10311, 5777, 118, 2747, 3483, 1105, 1157, 2774, 6328, 119, 1247, 1138, 1151, 1344, 118, 6168, 10563, 1115, 5057, 3510, 7147, 1394, 6866, 8216, 1180, 4651, 1672, 3463, 118, 2699, 191, 4654, 2511, 23156, 16652, 117, 22233, 3121, 18401, 2798, 7031, 1116, 119, 1332, 1122, 6808, 2699, 1104, 6866, 8216, 117, 10300, 9712, 26348, 1103, 2912, 1106, 3593, 1103, 8216, 1431, 1129, 4451, 1104, 5193, 1147, 3463, 117, 1111, 4267, 8517, 14226, 1158, 2699, 191, 4654, 2511, 23156, 16652, 117, 1196, 23660, 1158, 1172, 1106, 1103, 13280, 13601, 8637, 10152, 1113, 3510, 7147, 4935, 119, 1438, 117, 1175, 1132, 1178, 170, 8973, 1104, 2699, 5193, 5537, 1111, 6866, 8216, 119, 1188, 12942, 1115, 1103, 3685, 1844, 1113, 6973, 6866, 8216, 2699, 5193, 1110, 1136, 12373, 1105, 2606, 1107, 170, 1304, 2016, 1104, 26175, 119, 1556, 170, 2747, 2273, 1106, 1167, 12337, 4663, 1103, 4048, 1104, 3510, 7147, 1394, 6866, 8216, 1107, 2699, 1105, 9909, 117, 1195, 1431, 1148, 2437, 1147, 191, 4654, 2511, 23156, 16652, 1196, 6506, 7249, 119, 22801, 117, 1103, 2273, 1104, 1142, 2526, 1110, 1106, 3564, 1149, 170, 1677, 118, 3634, 6700, 8670, 1104, 1954, 12182, 6866, 8216, 2699, 5193, 5537, 117, 1111, 1103, 1211, 3409, 1215, 3510, 7147, 1394, 117, 1103, 142, 8420, 14136, 1105, 1157, 5777, 118, 2747, 4159, 1846, 117, 20375, 1785, 1106, 2194, 1103, 1148, 119, 119, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 25231, 18741, 1116, 1105, 4035, 5108, 6415, 1880, 1107, 6742, 118, 11287, 2344, 1138, 1151, 170, 23609, 18537, 2304, 1134, 1144, 5666, 6047, 2199, 1105, 3409, 1472, 8015, 119, 138, 2281, 3136, 1110, 2234, 1118, 148, 1611, 1361, 165, 9712, 7880, 196, 119, 198, 117, 164, 7642, 6834, 119, 6750, 119, 138, 165, 3087, 1830, 2087, 196, 5899, 198, 117, 5187, 22737, 1568, 1545, 113, 1371, 114, 166, 1359, 1113, 25942, 18741, 1116, 1107, 175, 1200, 18248, 7770, 2344, 1105, 1103, 1329, 1104, 7737, 4698, 1863, 1106, 11552, 25942, 119, 1130, 1142, 6436, 117, 1142, 3136, 1144, 1151, 2925, 1106, 171, 22354, 7770, 2344, 1105, 14516, 17482, 6328, 22379, 1359, 1113, 25942, 18741, 1116, 1111, 175, 1200, 18248, 2316, 1105, 171, 22354, 2316, 1138, 1151, 3836, 119, 138, 1160, 118, 11287, 1126, 2605, 20473, 1891, 6650, 1110, 1215, 1111, 17217, 170, 1160, 118, 11287, 184, 4832, 1200, 12598, 1112, 170, 3234, 7737, 119, 1960, 1472, 3322, 1104, 14516, 17482, 6328, 5754, 1110, 2234, 1111, 171, 22354, 7770, 2344, 1105, 1103, 14516, 17482, 6328, 22379, 2628, 1114, 1296, 2076, 1132, 6352, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 11267, 2308, 1105, 3476, 24350, 1107, 9546, 2344, 1132, 20137, 1107, 4161, 1104, 1103, 1295, 1104, 9150, 119, 1573, 1115, 117, 1103, 5297, 3532, 13590, 3864, 1359, 1113, 1147, 18952, 1675, 1103, 5871, 20900, 1104, 19959, 26728, 10950, 1905, 1111, 6841, 2344, 1105, 14007, 2299, 1546, 18952, 1132, 5576, 11470, 9044, 119, 1109, 4784, 1104, 1103, 8234, 1206, 1103, 2952, 5777, 1114, 1126, 3750, 21497, 1116, 170, 21093, 2401, 1111, 1103, 3476, 8952, 1107, 1103, 5372, 118, 21768, 22661, 17203, 1158, 1103, 19959, 26728, 10950, 1905, 2020, 1106, 1103, 4778, 16687, 1104, 1103, 3532, 13590, 3864, 119, 107, 102 ]

[ 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1370, 170, 7405, 2749, 1134, 2075, 170, 1609, 4672, 9479, 1768, 24775, 1114, 1103, 4509, 6307, 1179, 158, 113, 122, 114, 168, 196, 154, 10069, 198, 2258, 170, 20394, 10449, 118, 3274, 1116, 118, 1176, 22728, 117, 1195, 2025, 1103, 12182, 9539, 3209, 119, 3458, 3622, 1110, 1359, 1113, 1103, 7405, 118, 27289, 117, 1133, 3507, 118, 7449, 117, 10986, 4698, 1863, 119, 1109, 1871, 1110, 1115, 1103, 2749, 4856, 1126, 2839, 11954, 4065, 119, 17067, 15809, 1536, 117, 1142, 1871, 8609, 170, 3597, 6267, 1104, 170, 186, 4746, 24936, 2731, 1121, 1103, 170, 8745, 13207, 8468, 5822, 13225, 27500, 1116, 1871, 119, 1438, 117, 1103, 1675, 1871, 1110, 21960, 1106, 1115, 8181, 1107, 1103, 22728, 1206, 1103, 4509, 6307, 1179, 158, 113, 122, 114, 168, 196, 154, 10069, 198, 1105, 170, 1248, 4672, 7405, 1768, 1690, 1107, 1103, 1177, 118, 1270, 4610, 118, 4291, 158, 113, 122, 114, 168, 177, 117, 1656, 170, 7688, 7235, 13890, 1158, 2884, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 150, 1179, 1144, 1151, 1276, 1106, 2191, 118, 24945, 1154, 12861, 9236, 1919, 24267, 1106, 1103, 2473, 12563, 1200, 10442, 1113, 14159, 113, 3135, 1475, 114, 119, 1220, 11271, 1121, 1168, 12861, 9236, 1118, 170, 8261, 1112, 17162, 13689, 2468, 1107, 2709, 1352, 15049, 5280, 1158, 17599, 11428, 5005, 113, 23676, 2107, 114, 4351, 119, 1188, 1144, 9249, 8277, 8649, 3584, 5336, 1146, 1106, 1210, 150, 1179, 14296, 1679, 4129, 2587, 119, 3291, 12913, 16534, 23676, 2107, 117, 12861, 2049, 17599, 11428, 5005, 1105, 3476, 8458, 2749, 1195, 1525, 1115, 170, 3014, 13828, 118, 1176, 4129, 1104, 1423, 150, 1179, 14296, 23577, 1116, 1155, 1147, 3289, 1956, 117, 1259, 1147, 1112, 17162, 21027, 1136, 3297, 1118, 1954, 3584, 119, 1109, 12534, 12217, 1110, 170, 19957, 17633, 2401, 1111, 23741, 1103, 4828, 1105, 8364, 4625, 1104, 150, 1179, 18858, 9236, 1113, 14159, 113, 3135, 1475, 114, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 5823, 2751, 170, 11025, 6223, 1107, 1160, 2501, 7893, 1116, 1104, 1103, 10018, 151, 21977, 19094, 2116, 9560, 113, 140, 15681, 114, 1133, 10863, 1106, 3118, 1107, 1103, 1947, 1104, 1142, 2749, 117, 1195, 17794, 1106, 3136, 183, 21977, 19094, 2116, 1113, 1103, 3142, 1104, 1103, 163, 22654, 11748, 8362, 21018, 1183, 2603, 7893, 117, 1114, 1103, 8611, 1193, 5663, 11792, 1111, 1103, 183, 21977, 19094, 2116, 2603, 1105, 1159, 4836, 119, 2577, 9332, 117, 1103, 20405, 2781, 118, 2952, 2060, 1137, 3014, 17816, 118, 1104, 9455, 8057, 12562, 6646, 1107, 140, 15681, 1108, 23097, 1174, 119, 1109, 2686, 1104, 18294, 14314, 1116, 1113, 183, 21977, 19094, 2116, 1107, 1672, 8322, 1133, 4275, 1231, 20057, 2975, 1104, 1103, 8234, 3209, 1138, 1521, 1366, 1106, 182, 3329, 18851, 117, 1173, 4586, 117, 170, 10735, 7243, 1644, 1111, 9455, 8057, 12562, 6646, 119, 9251, 1154, 3300, 170, 3418, 12864, 3923, 1107, 1103, 9748, 1104, 7846, 6756, 1107, 4143, 117, 1142, 1644, 1110, 1104, 6572, 138, 11096, 10436, 3285, 2076, 119, 1135, 1759, 1114, 1103, 163, 22654, 11748, 7893, 117, 5087, 1111, 1103, 9220, 1104, 21763, 11934, 119, 138, 19957, 8026, 21763, 1104, 1142, 1644, 1106, 1103, 18294, 14314, 1116, 1144, 1151, 3836, 1105, 1521, 1366, 1106, 8245, 14838, 8626, 3884, 1112, 170, 4929, 1104, 3209, 9781, 6366, 119, 1135, 1431, 2621, 8026, 24647, 1116, 1104, 6879, 13064, 183, 21977, 19094, 2116, 2603, 1105, 1903, 183, 21977, 19094, 2116, 9355, 1107, 2952, 1137, 18294, 7688, 118, 13289, 19863, 20534, 18882, 1665, 6161, 1116, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 3177, 7925, 10932, 23168, 1104, 8379, 118, 1553, 11122, 1110, 1662, 132, 7891, 1193, 117, 2775, 1431, 1854, 1122, 7743, 119, 3446, 1195, 4615, 1160, 10787, 22519, 1104, 1126, 6129, 1842, 1114, 2860, 116, 7353, 3111, 1104, 8379, 118, 1553, 2849, 119, 17623, 117, 2860, 116, 7353, 7584, 1110, 1167, 8026, 1190, 2860, 2041, 117, 1177, 7353, 1169, 10301, 1260, 27444, 1206, 2860, 1105, 1157, 6129, 4010, 119, 13227, 7584, 16059, 9932, 117, 1115, 2790, 1160, 10787, 7584, 1104, 193, 164, 122, 166, 116, 119, 119, 119, 116, 193, 164, 151, 166, 1137, 15645, 3317, 193, 164, 122, 166, 194, 164, 122, 166, 116, 119, 119, 119, 116, 193, 164, 151, 166, 194, 164, 151, 166, 117, 1169, 1129, 1269, 2698, 1112, 2904, 7584, 16059, 2121, 1191, 20097, 10588, 14538, 1223, 11031, 3209, 119, 1188, 1236, 117, 1195, 1169, 1855, 1210, 2513, 131, 4607, 13218, 117, 1854, 1107, 7409, 10182, 23557, 117, 1105, 1202, 1142, 1114, 1376, 1191, 1251, 2445, 1107, 2099, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1284, 4615, 5618, 118, 1714, 3483, 5440, 1114, 1103, 5837, 8745, 2528, 11293, 13649, 119, 1284, 1437, 1115, 1165, 1103, 5837, 8745, 2528, 11293, 13649, 1104, 170, 5618, 118, 1714, 1846, 1110, 7648, 117, 1173, 1157, 11679, 1361, 10414, 2087, 3997, 1110, 1750, 1190, 109, 165, 184, 3263, 2571, 167, 165, 184, 3263, 2571, 109, 119, 1249, 170, 1884, 10747, 3113, 1104, 1142, 1871, 1195, 6268, 1115, 1126, 1137, 18140, 1233, 1110, 1103, 1546, 2076, 1104, 170, 1218, 118, 2802, 5618, 118, 1714, 1846, 1191, 2087, 1122, 1110, 1750, 1190, 109, 165, 184, 3263, 2571, 167, 196, 165, 184, 3263, 2571, 167, 165, 184, 3263, 2571, 198, 109, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 4013, 161, 118, 7586, 178, 10582, 25971, 7857, 117, 1103, 3855, 1104, 8598, 2231, 1107, 1103, 5250, 2430, 2340, 15328, 3498, 4167, 160, 27679, 1116, 23781, 3533, 21236, 155, 10354, 16717, 1110, 2376, 25220, 1193, 1111, 24429, 1146, 1106, 5787, 144, 1183, 113, 144, 1183, 134, 147, 120, 4023, 114, 119, 3517, 1620, 4828, 8598, 2231, 117, 1388, 1213, 121, 119, 124, 174, 2559, 1807, 1103, 191, 7531, 3633, 1467, 117, 1132, 1687, 1118, 1296, 8761, 129, 180, 1162, 2559, 6307, 1179, 1134, 1110, 123, 118, 124, 3791, 1104, 10094, 1167, 1190, 122, 2508, 2559, 5250, 19740, 3133, 119, 1109, 25635, 1126, 25362, 1979, 1110, 2602, 1106, 4851, 1292, 18743, 119, 5328, 8649, 8936, 117, 1134, 1144, 1145, 1151, 10645, 1118, 1168, 2086, 1107, 1472, 2527, 117, 1110, 2456, 3626, 1112, 170, 1887, 4247, 1104, 8598, 2231, 1107, 3498, 4167, 160, 27679, 1116, 23781, 9546, 7878, 3533, 21236, 1116, 119, 107, 102 ]

[ 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 4449, 1104, 1103, 173, 117, 124, 3048, 1105, 124, 3048, 1162, 6898, 2401, 1144, 1151, 1982, 1120, 1103, 155, 2240, 22441, 2249, 113, 1999, 114, 170, 26154, 1844, 3695, 1105, 159, 13360, 3048, 16668, 113, 147, 11607, 2069, 114, 1606, 1241, 15281, 2200, 1105, 8362, 23043, 7710, 5305, 1260, 18614, 1320, 13903, 119, 1109, 6700, 2686, 1113, 1103, 23389, 3758, 2527, 1107, 173, 1643, 118, 25460, 19665, 117, 173, 113, 173, 117, 124, 3048, 114, 185, 1105, 173, 113, 173, 117, 124, 3048, 1162, 114, 183, 9535, 1132, 2756, 119, 1109, 9479, 1105, 27023, 23389, 3758, 1111, 173, 1643, 118, 25460, 19665, 1120, 5385, 1568, 1105, 1539, 2508, 2559, 1132, 3836, 1120, 1103, 151, 21977, 7841, 3484, 113, 159, 13360, 3048, 16668, 114, 119, 1109, 1871, 1113, 1103, 23389, 3758, 138, 1183, 117, 138, 1183, 1183, 1104, 1103, 1260, 18614, 1320, 1120, 1539, 2508, 2559, 1132, 3402, 1114, 1231, 16236, 23936, 1596, 2967, 19665, 2235, 17891, 119, 1109, 2233, 1113, 1103, 27023, 23389, 3758, 1111, 1103, 173, 113, 173, 117, 124, 3048, 114, 185, 1105, 173, 113, 173, 117, 124, 3048, 1162, 114, 183, 9535, 3836, 1120, 5316, 134, 2363, 1105, 14162, 2508, 2559, 10541, 1103, 15750, 1106, 1103, 124, 3048, 117, 124, 3048, 1162, 1105, 1260, 18614, 1320, 6898, 2401, 119, 1109, 6818, 26805, 1206, 1103, 6700, 2686, 1105, 1103, 10093, 17891, 1439, 1103, 1141, 118, 183, 21977, 26918, 1179, 3670, 2235, 8297, 1132, 4379, 119, 1109, 2043, 6700, 1788, 1113, 1103, 2025, 1104, 1103, 15281, 2734, 3154, 1107, 173, 1643, 118, 25460, 19665, 117, 173, 1643, 118, 1664, 6801, 13207, 21194, 117, 173, 113, 173, 117, 124, 3048, 1162, 114, 183, 117, 173, 113, 173, 117, 124, 3048, 114, 185, 1105, 173, 113, 124, 3048, 1162, 117, 125, 3048, 1162, 114, 185, 9535, 1606, 4422, 1105, 16939, 7574, 1120, 151, 21977, 7841, 3484, 1110, 6352, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0 ]

[ 101, 107, 9622, 9652, 2527, 1138, 4415, 5409, 1106, 1103, 4287, 1104, 9622, 3507, 19790, 16317, 1105, 2848, 25740, 1348, 3252, 10700, 1111, 9837, 4420, 119, 142, 8419, 1830, 27706, 1103, 2398, 1104, 191, 9992, 13791, 1596, 11317, 1114, 7300, 5320, 1105, 1884, 8997, 15045, 1116, 1219, 1263, 118, 1858, 2848, 8127, 12316, 5132, 1233, 113, 22133, 2559, 114, 7606, 1110, 1696, 1106, 1103, 1718, 1104, 3903, 14115, 119, 2508, 13923, 8050, 21634, 1110, 1126, 1696, 17163, 1766, 1104, 1103, 12949, 1104, 22133, 2559, 3252, 117, 1133, 1126, 5806, 1260, 2083, 14503, 2227, 1104, 8050, 21634, 2603, 1359, 1113, 15683, 1856, 9437, 1449, 113, 22157, 7182, 114, 2233, 1110, 3607, 1106, 17163, 191, 9992, 13791, 1596, 13950, 119, 1109, 2425, 7649, 1104, 1142, 2526, 1110, 1106, 8242, 1103, 3154, 1104, 170, 1295, 1104, 14940, 1260, 2083, 14503, 5240, 1104, 22157, 7182, 8050, 21634, 5600, 1113, 191, 9992, 13791, 1596, 2593, 7140, 8038, 1166, 1159, 1107, 9622, 118, 10594, 4420, 119, 1284, 1872, 170, 6978, 118, 1359, 12630, 8381, 2235, 1114, 9486, 1104, 3850, 8050, 21634, 117, 12254, 1174, 1118, 7942, 28117, 1116, 2093, 6451, 7706, 1106, 3850, 1105, 2259, 2568, 5924, 117, 1106, 1959, 3708, 1103, 1263, 118, 1858, 191, 9992, 13791, 1596, 11317, 1170, 21252, 1104, 7606, 119, 1188, 2235, 3106, 18831, 1116, 14837, 6829, 117, 22157, 7182, 8050, 21634, 117, 3850, 4789, 1105, 2259, 2568, 1884, 8997, 15045, 1116, 1154, 1103, 2233, 3622, 119, 1130, 1142, 2025, 1195, 4071, 1103, 3000, 2235, 1105, 2628, 2410, 18766, 1389, 1664, 24984, 3216, 118, 3154, 13117, 3136, 1106, 15187, 1293, 1106, 19723, 1329, 1103, 22157, 7182, 8050, 21634, 2233, 1111, 20770, 1104, 191, 9992, 13791, 1596, 2593, 117, 1105, 1106, 17459, 1103, 17163, 1158, 1540, 1104, 1296, 14940, 12676, 1104, 1103, 22157, 7182, 8050, 21634, 5600, 119, 107, 102 ]

[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 138, 2793, 5835, 1111, 7405, 118, 27289, 184, 4832, 1200, 12598, 1116, 1107, 15503, 164, 155, 119, 139, 10607, 12266, 119, 117, 147, 3048, 16668, 7690, 1604, 113, 1446, 114, 5347, 1477, 166, 1110, 8600, 119, 1284, 1660, 170, 1704, 5771, 1104, 1147, 2058, 1106, 1704, 3582, 2000, 4974, 1116, 119, 1130, 3596, 2000, 117, 1195, 20446, 1141, 118, 7812, 176, 1611, 5086, 1633, 22590, 1116, 1106, 170, 188, 7867, 1813, 1160, 118, 1553, 3053, 1107, 170, 1704, 7405, 1111, 1103, 176, 1611, 5086, 1633, 119, 1284, 14077, 17328, 1437, 1293, 1103, 7405, 118, 7449, 2538, 19722, 1206, 1103, 4400, 2191, 118, 2308, 5353, 1105, 1103, 2509, 22590, 1116, 17575, 1107, 1292, 184, 4832, 1200, 12598, 1116, 119, 1109, 1141, 118, 7812, 22590, 1116, 1138, 1103, 2637, 8458, 1532, 117, 11565, 1106, 1330, 3055, 2376, 5835, 1111, 7405, 118, 27289, 184, 4832, 1200, 12598, 1116, 164, 150, 119, 139, 119, 13359, 165, 107, 107, 184, 1830, 117, 3699, 119, 154, 27280, 119, 144, 1611, 1964, 119, 2588, 113, 1857, 114, 5347, 22682, 1571, 166, 1187, 1142, 1110, 1136, 1103, 1692, 119, 7282, 117, 1195, 4959, 1103, 1141, 118, 7812, 176, 1611, 5086, 1633, 22590, 1116, 1106, 1103, 1300, 118, 1553, 22728, 1104, 1103, 7405, 118, 27289, 188, 7867, 1813, 1768, 117, 1105, 1103, 7671, 1919, 1104, 1103, 22728, 4836, 10645, 1118, 176, 1611, 5086, 1633, 17806, 119, 17067, 15809, 117, 1103, 109, 165, 11933, 109, 3053, 1110, 4366, 1111, 1155, 4718, 1104, 1103, 1664, 118, 10298, 22728, 1104, 1103, 188, 7867, 1813, 1768, 1106, 16408, 13461, 5332, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1760, 6700, 2025, 1110, 3490, 1114, 18294, 23741, 1106, 8242, 1207, 3242, 1106, 4851, 2771, 118, 4235, 20401, 1116, 1104, 16872, 8257, 1114, 1223, 12712, 119, 138, 10848, 5400, 2237, 1973, 1107, 170, 23896, 3263, 1108, 1549, 4438, 1106, 191, 13292, 5498, 1107, 1103, 7391, 2447, 119, 16535, 1116, 1107, 1103, 5400, 3248, 8824, 19299, 2553, 4235, 1194, 1103, 5400, 1106, 3873, 1103, 1298, 2626, 1223, 1103, 5400, 1134, 1110, 1227, 1106, 1505, 170, 2501, 1648, 1107, 1211, 4252, 24214, 10748, 119, 1370, 14203, 12398, 2975, 1114, 1353, 5400, 18199, 1103, 7391, 9652, 1619, 2049, 1108, 7140, 1107, 1103, 3549, 10537, 2079, 122, 119, 126, 133, 159, 1197, 133, 1275, 119, 126, 1111, 170, 5400, 1114, 1105, 1443, 7996, 119, 1109, 19299, 2553, 4235, 1194, 1103, 7996, 5409, 3549, 20401, 1116, 119, 1188, 1120, 5208, 10255, 1108, 1211, 14511, 1107, 1103, 1344, 11111, 1757, 1805, 1120, 123, 133, 159, 1197, 133, 124, 119, 126, 119, 1960, 118, 8611, 18294, 14314, 1116, 1127, 1982, 1114, 1103, 19140, 3150, 2896, 14529, 20569, 1106, 15187, 1469, 1396, 27089, 4233, 1105, 16390, 1111, 1241, 5400, 3322, 119, 138, 2232, 24000, 4576, 1241, 4600, 1105, 8240, 5777, 2148, 1714, 5400, 2230, 1105, 1160, 118, 1236, 8240, 118, 2401, 10393, 119, 6747, 1979, 19129, 1105, 4379, 18294, 3154, 1132, 6352, 1105, 186, 27280, 6202, 119, 1109, 27210, 1896, 3367, 1107, 1253, 1447, 1110, 2602, 1106, 1129, 1601, 1106, 6700, 4718, 119, 1109, 3450, 11111, 1757, 1105, 3367, 5318, 1127, 9177, 1106, 5515, 1861, 2593, 13714, 1120, 1103, 1269, 3712, 2379, 13714, 1112, 1107, 1103, 7886, 119, 1966, 1122, 1108, 1136, 1936, 1106, 23577, 1103, 20401, 1116, 6226, 1118, 24034, 1158, 1158, 2020, 2652, 191, 12148, 18117, 113, 15393, 2036, 2559, 114, 1120, 3860, 1822, 159, 1197, 117, 1103, 14314, 1116, 1120, 1344, 159, 1197, 2799, 2012, 20401, 1116, 1114, 2230, 118, 10645, 4252, 24214, 113, 26574, 2036, 114, 119, 1370, 1103, 2985, 1692, 117, 1103, 27210, 2593, 7234, 1104, 1103, 21828, 27388, 5400, 10052, 1114, 1103, 6700, 2686, 119, 1109, 18294, 23741, 2686, 5996, 1115, 1103, 19299, 2553, 4235, 12563, 4729, 26816, 1103, 27317, 2629, 1104, 23896, 5822, 24176, 1120, 1103, 13161, 2652, 2628, 1114, 1103, 5118, 15868, 2997, 3968, 1506, 1103, 5400, 1105, 1103, 1404, 112, 188, 7391, 184, 1116, 23694, 6207, 4018, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 2421, 109, 165, 17648, 165, 18005, 1162, 4426, 165, 12523, 13834, 155, 167, 123, 109, 1129, 170, 5777, 1105, 1519, 109, 175, 165, 1107, 160, 167, 196, 122, 117, 122, 198, 113, 165, 17648, 117, 165, 12523, 13834, 155, 167, 123, 114, 109, 1129, 170, 1313, 18445, 15615, 26172, 113, 1206, 109, 165, 17648, 109, 1105, 109, 175, 113, 165, 17648, 114, 109, 114, 119, 1599, 1175, 5903, 170, 4954, 1104, 5307, 4267, 15475, 18445, 15615, 26172, 1116, 109, 175, 168, 180, 109, 14255, 4121, 3375, 1106, 109, 175, 109, 1107, 109, 160, 167, 196, 122, 117, 122, 198, 113, 165, 17648, 117, 165, 12523, 13834, 155, 167, 123, 114, 109, 1105, 6029, 1193, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 138, 8661, 1193, 1103, 157, 118, 7058, 1785, 1105, 188, 3263, 13780, 11079, 1106, 1103, 141, 1495, 118, 12418, 1673, 5072, 1141, 1169, 9417, 1103, 7688, 14867, 14499, 16497, 1134, 1336, 7058, 1106, 7688, 5821, 12140, 11048, 1137, 1664, 118, 7688, 5821, 12140, 11048, 1664, 118, 3254, 13601, 18216, 20866, 9016, 1768, 2749, 119, 1284, 8698, 141, 1559, 118, 12418, 1673, 17357, 1154, 1103, 7058, 7688, 14867, 14499, 3582, 1106, 2025, 1103, 22572, 5132, 1233, 14189, 1105, 1143, 2142, 10122, 1175, 1394, 119, 1284, 1148, 1525, 1115, 1103, 1664, 118, 3254, 13601, 18216, 20866, 9016, 1768, 1674, 1136, 21497, 1103, 22572, 5132, 1233, 16558, 4440, 1256, 1191, 1103, 7688, 5821, 12140, 6013, 1108, 2423, 3088, 117, 5014, 1106, 1103, 7228, 9313, 1115, 1103, 22572, 5132, 1233, 16558, 1209, 1129, 3088, 1107, 1103, 1664, 118, 7688, 5821, 12140, 11048, 2749, 119, 5893, 117, 1195, 1525, 1115, 1103, 20866, 9016, 1768, 1674, 1136, 22015, 1103, 1143, 2142, 10122, 1107, 1103, 7688, 5821, 12140, 11048, 2749, 1229, 1122, 1209, 4851, 1103, 1143, 2142, 4930, 118, 1352, 2308, 1107, 1103, 1664, 118, 7688, 5821, 12140, 11048, 2749, 119, 1284, 1145, 17459, 1103, 12182, 186, 6718, 4661, 2848, 118, 186, 6718, 4661, 3209, 1105, 1267, 1115, 1103, 20866, 9016, 1768, 1144, 1126, 2629, 1106, 3133, 8394, 2049, 1206, 1103, 186, 6718, 4661, 1105, 2848, 118, 186, 6718, 4661, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 4539, 26726, 1707, 3509, 1107, 185, 2101, 1830, 13213, 1116, 1120, 149, 15779, 21963, 1132, 10788, 1107, 23563, 14543, 2386, 1785, 2000, 1112, 4226, 1104, 2129, 1785, 119, 1109, 3839, 18276, 2646, 27647, 1818, 118, 11435, 1231, 16236, 23936, 1596, 22873, 2235, 113, 155, 20002, 114, 1114, 1210, 3509, 1110, 3666, 1106, 1103, 3622, 1104, 9889, 4601, 118, 1125, 3484, 23190, 7140, 1118, 1103, 13020, 10783, 1708, 1105, 18589, 9741, 2036, 19575, 1107, 185, 2101, 1830, 13213, 1116, 1120, 126, 119, 5507, 12008, 2559, 119, 1109, 2060, 1104, 1103, 2286, 14543, 2386, 1785, 2674, 5236, 1106, 1103, 17906, 1891, 3509, 1107, 185, 2101, 1830, 13213, 1116, 1110, 1737, 1112, 3053, 1104, 2129, 1785, 117, 1105, 4497, 2308, 119, 1335, 149, 15779, 21963, 11287, 1707, 1121, 1103, 2286, 118, 6099, 1785, 176, 7535, 1320, 118, 176, 7535, 1320, 2674, 1110, 2610, 1190, 1115, 1121, 1103, 17906, 1891, 3509, 1120, 1155, 2129, 4233, 119, 16752, 1665, 17855, 1116, 4423, 1103, 11435, 174, 18276, 2646, 6766, 2116, 1965, 1132, 3795, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0 ]

[ 101, 107, 138, 5328, 15338, 1104, 1103, 21710, 1104, 2614, 1144, 3055, 1151, 1549, 117, 3338, 5851, 6856, 1112, 138, 5328, 9560, 1104, 24570, 7824, 119, 1109, 4521, 1226, 1104, 1142, 1169, 1129, 6497, 1112, 8753, 1198, 15030, 112, 188, 9833, 117, 12456, 4035, 7877, 15986, 1107, 4194, 1499, 7542, 1105, 12630, 118, 16735, 9093, 1105, 2925, 1106, 3793, 8937, 112, 1352, 6966, 119, 1284, 1208, 23899, 1142, 3136, 1118, 10496, 1231, 20127, 18791, 2734, 1106, 1141, 1359, 1113, 19346, 7925, 112, 188, 1704, 2734, 1104, 15030, 112, 188, 9833, 117, 1112, 3226, 119, 178, 114, 1130, 1142, 3136, 117, 1103, 15030, 14478, 1253, 28117, 3101, 18117, 1106, 4035, 13775, 11336, 6840, 14200, 1306, 119, 25550, 114, 140, 26073, 1110, 1208, 14758, 1606, 1103, 19346, 7925, 26083, 118, 1114, 109, 183, 109, 22223, 1897, 1190, 123, 117, 1177, 1103, 1148, 1664, 19091, 22319, 1193, 15030, 1692, 1144, 124, 22223, 118, 1105, 170, 169, 19346, 7925, 2586, 18791, 7088, 1306, 112, 26116, 1104, 1103, 12120, 19366, 1105, 15030, 2586, 18791, 7088, 4206, 119, 1188, 6570, 170, 1705, 1104, 19346, 7925, 19669, 4413, 1104, 18572, 1137, 1104, 1148, 118, 1705, 15651, 119, 25550, 1182, 114, 19346, 7925, 184, 4832, 1200, 12598, 1116, 1132, 3393, 1118, 19346, 7925, 22019, 6756, 118, 3254, 13601, 7984, 1114, 18572, 1137, 1114, 1148, 118, 1705, 15651, 132, 1195, 1329, 1103, 19346, 7925, 26116, 1104, 1103, 5549, 1182, 4193, 1106, 27466, 8223, 22881, 1142, 6145, 5236, 1106, 170, 2166, 3252, 119, 1636, 19346, 7925, 22019, 4125, 1169, 1167, 5909, 1129, 1231, 8305, 1112, 14077, 27802, 27485, 1106, 1129, 13785, 1606, 1103, 25549, 20569, 119, 19346, 7925, 184, 4832, 1200, 12598, 1116, 2310, 1532, 19346, 7925, 13450, 1116, 119, 2001, 6154, 7723, 1104, 19346, 7925, 14255, 16468, 10879, 1137, 14622, 19669, 4841, 25198, 1116, 1748, 4982, 21497, 7058, 19843, 1116, 1104, 19346, 7925, 184, 4832, 1200, 12598, 1116, 4841, 1348, 2176, 6766, 1116, 119, 178, 1964, 114, 3177, 24152, 1104, 19346, 7925, 19669, 4413, 8107, 1158, 155, 24874, 17903, 1183, 3114, 170, 2086, 1104, 16752, 2050, 5082, 16279, 1167, 2401, 1121, 1750, 119, 191, 114, 5230, 27141, 1104, 11300, 16418, 1616, 118, 152, 24380, 1130, 8997, 19425, 3114, 1103, 1704, 19346, 7925, 19669, 2401, 112, 188, 26116, 1104, 23614, 11336, 26749, 2116, 1130, 8997, 19425, 1111, 144, 2069, 119, 1284, 1145, 3282, 1199, 15710, 1121, 150, 118, 9560, 112, 188, 1329, 1104, 19346, 7925, 9833, 1373, 1103, 2442, 1104, 18757, 9146, 117, 13056, 1105, 13829, 6598, 117, 4006, 1199, 186, 4746, 24936, 7762, 1116, 1206, 1142, 117, 144, 2069, 1105, 3198, 14867, 14499, 1112, 12747, 1293, 24570, 7824, 1110, 2788, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 16781, 1104, 26341, 1194, 21545, 1159, 1144, 1151, 3409, 2376, 1120, 1344, 1894, 5933, 4964, 117, 1133, 1175, 1132, 170, 1374, 2527, 1107, 1142, 1768, 1120, 2211, 1894, 5933, 22863, 119, 1438, 117, 1822, 118, 1894, 5933, 22863, 2527, 1209, 2194, 1696, 17645, 1106, 1103, 7243, 1104, 26341, 117, 9015, 21816, 1158, 1103, 2320, 5088, 1206, 1469, 1105, 1344, 118, 1894, 5933, 4964, 6271, 119, 1130, 1142, 1250, 1195, 2817, 1113, 1103, 13256, 1785, 1104, 1103, 3245, 1107, 14061, 26341, 1120, 1822, 1894, 5933, 4964, 1702, 1111, 5300, 1104, 5297, 7243, 119, 1284, 19774, 1103, 13256, 1785, 8792, 1104, 2851, 5071, 26341, 1104, 1861, 181, 14088, 14226, 4233, 1120, 1472, 1894, 5933, 22863, 117, 1195, 2376, 1103, 13256, 1785, 1104, 2851, 5071, 26341, 1121, 19416, 12480, 118, 22219, 1571, 113, 20675, 6082, 5751, 8157, 118, 7154, 17443, 126, 114, 117, 1606, 1472, 1894, 5933, 4964, 14662, 1121, 121, 119, 122, 1106, 121, 119, 125, 119, 1284, 1215, 1103, 1470, 2233, 1104, 19416, 12480, 118, 22219, 1571, 14659, 1114, 1103, 23676, 12426, 2162, 23413, 18784, 20277, 11362, 3463, 117, 5663, 1158, 1103, 24256, 1279, 1111, 6693, 16137, 117, 12890, 27182, 13256, 4233, 1606, 1103, 155, 22737, 3442, 117, 1105, 23389, 1103, 8025, 1114, 4161, 1106, 1103, 164, 151, 12738, 166, 2625, 1604, 1495, 120, 164, 152, 12738, 166, 3413, 24458, 1413, 6022, 119, 1622, 170, 1509, 6876, 1104, 21606, 26341, 117, 1195, 1525, 170, 1260, 13782, 1880, 1107, 1367, 116, 9366, 113, 152, 120, 145, 114, 7671, 1106, 1103, 1894, 5933, 4964, 14235, 121, 119, 124, 133, 195, 133, 121, 119, 125, 1104, 199, 121, 119, 122, 1260, 1775, 1114, 4161, 1106, 1103, 1832, 1104, 1103, 6876, 117, 1134, 1169, 1129, 9829, 1112, 2554, 1104, 1103, 13256, 1785, 7243, 1107, 1822, 118, 195, 26341, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 15463, 1306, 3013, 15651, 6226, 1118, 1103, 2457, 1344, 118, 3418, 7758, 117, 11164, 168, 188, 113, 150, 168, 163, 114, 117, 1132, 2602, 1106, 1129, 8723, 1118, 146, 134, 122, 20277, 2233, 1121, 1125, 26003, 27629, 1358, 14352, 1116, 117, 1133, 15079, 1118, 1103, 3073, 118, 1478, 24266, 1643, 13225, 18305, 113, 142, 2107, 114, 2771, 118, 2237, 2233, 119, 27524, 1200, 9204, 1116, 1104, 1103, 6433, 6747, 113, 19293, 114, 1125, 26003, 6436, 1106, 113, 176, 118, 123, 114, 168, 182, 1358, 14239, 27629, 1358, 14352, 2233, 1132, 2456, 12578, 1166, 1343, 1359, 9308, 1113, 142, 2107, 2233, 117, 22203, 170, 19293, 20770, 1111, 113, 176, 118, 123, 114, 168, 182, 1358, 1107, 3311, 1114, 1954, 6700, 2686, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1249, 19951, 1103, 11066, 1104, 1103, 4035, 8005, 20437, 2731, 1104, 9926, 117, 1195, 20446, 22214, 8102, 1811, 2088, 117, 1147, 2628, 3209, 1116, 1105, 1768, 11838, 117, 1165, 1168, 117, 1107, 1704, 1664, 118, 4154, 117, 4035, 8005, 15108, 1132, 1737, 1939, 1104, 1103, 4400, 9326, 23501, 4119, 4035, 25444, 119, 1789, 7640, 1164, 1103, 2731, 1104, 1103, 22590, 2538, 2756, 1132, 1549, 117, 1105, 170, 19218, 1104, 22590, 1116, 1106, 1103, 4108, 6378, 7879, 118, 11906, 1158, 4143, 1110, 1982, 1606, 1103, 9989, 1134, 1730, 1106, 1184, 1169, 1129, 1270, 170, 8372, 1233, 118, 2001, 11256, 1602, 4569, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1124, 20192, 22976, 171, 14824, 1179, 11437, 19091, 2007, 113, 177, 118, 139, 2249, 114, 1110, 170, 23978, 1160, 118, 8611, 2578, 1114, 4625, 1115, 1294, 1122, 10480, 1112, 170, 2939, 18465, 4907, 1107, 1672, 4683, 119, 1284, 2592, 1103, 3213, 1104, 177, 118, 139, 2249, 2441, 1113, 27453, 20235, 1116, 1121, 24789, 139, 1105, 151, 1606, 9546, 7574, 174, 18965, 7897, 1183, 119, 1109, 2915, 1104, 8626, 2568, 177, 118, 139, 2249, 1166, 1103, 2072, 17498, 1110, 3659, 1118, 15078, 1179, 188, 26426, 5864, 20739, 119, 18662, 2049, 17599, 11428, 5005, 1110, 1215, 1106, 11755, 1103, 22740, 1105, 15126, 1104, 1103, 26662, 2441, 119, 138, 15049, 11267, 17599, 11428, 5005, 2025, 1104, 2441, 3836, 1606, 7681, 23042, 1116, 3272, 14222, 1154, 1103, 183, 21977, 19094, 2116, 1105, 3213, 4658, 1104, 177, 118, 139, 2249, 1113, 1103, 27453, 17498, 119, 1109, 22740, 1104, 177, 118, 139, 2249, 1108, 1276, 1106, 23530, 1121, 10552, 23632, 26320, 117, 2851, 118, 4283, 5011, 1106, 2610, 117, 5307, 14894, 3200, 1114, 4138, 3213, 4143, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 2526, 9335, 1113, 1103, 10540, 1104, 1103, 3053, 183, 113, 1103, 1777, 114, 134, 151, 113, 1103, 1777, 114, 120, 151, 1568, 117, 1115, 1110, 1103, 2999, 2200, 1295, 1104, 5011, 1112, 170, 3053, 1104, 5811, 121, 133, 1103, 1777, 133, 122, 117, 1549, 151, 1568, 3288, 183, 21977, 19094, 2116, 9335, 113, 16672, 114, 1515, 1251, 2178, 1104, 15442, 18741, 119, 138, 1928, 1768, 3136, 1144, 1151, 4071, 131, 1103, 5011, 1138, 1103, 1269, 2060, 1120, 1251, 5811, 119, 1130, 2440, 117, 1112, 1677, 1112, 1103, 7091, 3735, 1104, 16672, 1110, 4264, 117, 1103, 2463, 1144, 1151, 13785, 1118, 6103, 1103, 6436, 1104, 13480, 13213, 1116, 1206, 5011, 1178, 119, 1556, 7328, 1106, 27053, 16672, 117, 1195, 1704, 3708, 170, 3442, 2331, 3666, 1106, 1103, 7091, 1692, 1178, 119, 1130, 3744, 117, 1195, 1138, 1189, 1329, 1104, 1103, 18434, 9750, 2103, 1107, 164, 156, 119, 19928, 13284, 2430, 117, 139, 119, 14557, 117, 147, 119, 22686, 7879, 117, 7642, 6834, 119, 6750, 119, 138, 3746, 117, 17342, 1580, 113, 1997, 114, 166, 117, 1111, 13170, 1103, 25433, 1116, 1104, 2473, 5811, 1107, 1103, 1692, 1104, 27053, 16672, 117, 9248, 1412, 2166, 19218, 164, 150, 119, 2545, 12164, 2605, 117, 150, 119, 16061, 14467, 2605, 117, 150, 119, 5713, 3186, 7642, 6834, 119, 6750, 119, 139, 5073, 117, 12206, 7629, 117, 113, 1539, 114, 166, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 8718, 2109, 1884, 6473, 3408, 3223, 13480, 2940, 2867, 1112, 17296, 1111, 1103, 2025, 1104, 2012, 118, 4900, 7094, 119, 1130, 1292, 2344, 8148, 4235, 11934, 113, 1396, 27089, 4233, 117, 10552, 28060, 117, 7768, 114, 1132, 1510, 1218, 1227, 117, 1105, 6307, 1179, 3872, 1696, 1111, 20110, 19665, 1105, 14469, 2734, 1132, 1932, 3393, 1137, 14255, 16468, 9044, 1112, 1218, 119, 1130, 1142, 2526, 1195, 3189, 4379, 161, 118, 7586, 1105, 2070, 5924, 1104, 1199, 1696, 1884, 6473, 3408, 3223, 2344, 119, 1284, 6265, 1293, 161, 118, 7586, 1105, 2070, 9959, 1104, 1292, 2344, 1169, 1129, 1215, 1106, 2774, 3584, 1104, 1103, 13213, 1104, 4672, 5611, 1107, 1103, 2915, 1104, 5827, 26331, 8432, 1105, 8364, 3872, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 11731, 1104, 1344, 3068, 188, 5730, 4184, 2941, 9959, 1104, 1103, 7270, 2559, 1105, 5085, 1884, 15789, 1219, 1103, 156, 23293, 2346, 2862, 1144, 3682, 1412, 4287, 1104, 1103, 1822, 1884, 15789, 23487, 6006, 1104, 140, 14424, 1116, 119, 1109, 7270, 2559, 3077, 1197, 120, 1653, 1609, 1884, 15789, 15241, 3797, 1144, 1151, 9893, 1177, 3110, 117, 1122, 1110, 21871, 4260, 1115, 1191, 1185, 7270, 2559, 17926, 1132, 1675, 1165, 170, 140, 14424, 1110, 4379, 1118, 170, 1884, 15789, 15241, 117, 1173, 1103, 1856, 1538, 24077, 1481, 1103, 5085, 16864, 119, 1188, 13457, 7450, 2012, 14755, 1111, 2000, 4250, 24647, 1158, 1133, 1144, 1136, 1151, 1508, 1106, 1103, 2774, 119, 1188, 2526, 8218, 1103, 1148, 6448, 3622, 1104, 170, 25036, 3269, 117, 1415, 118, 3418, 140, 14424, 1115, 1144, 1185, 5119, 15289, 1107, 1103, 1822, 1884, 15789, 119, 1109, 1856, 1108, 4379, 1118, 1103, 15374, 23258, 2240, 5349, 119, 1109, 18732, 2069, 1477, 1592, 1884, 15789, 15241, 4379, 170, 3345, 24256, 118, 8090, 2076, 140, 14424, 117, 1229, 1126, 4450, 7859, 7597, 5871, 2858, 1108, 4379, 1107, 18732, 2069, 1477, 2064, 119, 1109, 1856, 7601, 1304, 2494, 1105, 1110, 4701, 1104, 1103, 5118, 1200, 118, 5993, 3554, 140, 14424, 1705, 119, 7270, 23314, 138, 19619, 4351, 1437, 170, 14255, 2599, 2707, 2672, 1807, 1103, 1746, 16864, 117, 3860, 6111, 1111, 1164, 1160, 1552, 1196, 1103, 19049, 117, 1165, 1122, 9440, 1154, 1103, 1884, 15789, 11293, 3872, 1105, 11926, 1154, 1103, 4160, 1104, 1103, 140, 14424, 119, 7330, 1104, 1103, 4701, 1822, 1884, 15789, 17926, 1104, 170, 140, 14424, 1127, 4379, 1107, 1103, 7270, 23314, 118, 139, 4351, 117, 1134, 1195, 19795, 1106, 1103, 14624, 1415, 3976, 1121, 1134, 1103, 24256, 118, 8090, 3358, 1228, 119, 1188, 7628, 1110, 2726, 1118, 1103, 140, 14424, 3367, 12307, 1105, 10777, 1104, 1103, 2637, 7270, 2559, 12563, 5031, 7657, 119, 2809, 5438, 1106, 1103, 11731, 1104, 1103, 1160, 25216, 1116, 1195, 1127, 1682, 1106, 6183, 1103, 2620, 2674, 1805, 119, 1109, 1856, 7506, 1373, 170, 8795, 1413, 1166, 1103, 3589, 3336, 119, 1302, 2327, 4001, 1127, 1675, 5456, 1113, 1103, 5085, 113, 1121, 23676, 9637, 2036, 2346, 139, 114, 1339, 1104, 1103, 10437, 119, 17003, 1185, 8332, 1481, 1113, 1103, 6644, 10437, 117, 1142, 8310, 2196, 8362, 2312, 5567, 22928, 1193, 1115, 170, 140, 14424, 19049, 1674, 1136, 1444, 1106, 1138, 2330, 1113, 118, 10437, 17926, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1457, 9962, 25066, 11336, 2142, 3923, 1107, 1423, 10323, 118, 7449, 14469, 6412, 1110, 10788, 1439, 170, 1210, 1352, 1664, 118, 2392, 3292, 1811, 13117, 1104, 1103, 14469, 3094, 26736, 21404, 14189, 119, 1130, 5014, 1106, 170, 1160, 118, 1352, 6136, 1141, 16956, 1103, 2915, 1104, 1126, 2509, 1804, 1352, 1111, 1103, 14469, 3094, 1134, 27180, 1116, 1103, 22502, 1104, 10323, 118, 2457, 1804, 4841, 7235, 24152, 1116, 113, 22951, 169, 169, 1352, 112, 112, 114, 119, 1109, 26736, 21404, 6468, 1154, 1103, 1501, 1352, 4365, 1194, 170, 5777, 1104, 10323, 118, 7449, 1804, 4841, 7235, 24152, 1116, 113, 1804, 169, 169, 1352, 112, 112, 114, 119, 1335, 4966, 26717, 1114, 170, 2530, 1160, 118, 1352, 1137, 1145, 1210, 118, 1352, 2392, 3292, 1811, 3136, 117, 1103, 22951, 1352, 1110, 6858, 1118, 170, 4728, 117, 1664, 118, 4252, 5674, 21222, 2916, 9750, 3735, 1104, 7671, 4662, 1551, 119, 1109, 7378, 2593, 1106, 170, 18084, 10323, 4344, 1110, 3552, 1111, 16439, 23190, 1104, 1103, 3094, 112, 188, 7593, 1551, 119, 9954, 1193, 10165, 2686, 1132, 3836, 1111, 1103, 20277, 1821, 1643, 17489, 1104, 1103, 3666, 4344, 1105, 1103, 7671, 4344, 118, 1106, 118, 4647, 6022, 119, 23104, 117, 1292, 2686, 1132, 1145, 4408, 1118, 1329, 1104, 170, 7671, 1160, 118, 1352, 1664, 118, 2392, 3292, 1811, 2749, 1134, 1110, 1359, 1113, 4940, 10226, 18240, 11838, 164, 146, 119, 3414, 21155, 7563, 1105, 153, 119, 19869, 5389, 117, 7642, 6834, 119, 6750, 119, 142, 5691, 117, 5507, 14541, 1568, 1527, 113, 1516, 114, 166, 119, 1109, 1664, 118, 2392, 3292, 1811, 1956, 1104, 188, 2430, 7147, 5668, 20370, 1132, 2376, 1111, 170, 1540, 1644, 3735, 1104, 1103, 4662, 1159, 118, 14662, 1107, 1103, 22951, 1352, 1134, 10877, 170, 1415, 26717, 119, 138, 7577, 1114, 1103, 1692, 1104, 16516, 118, 4252, 5674, 21222, 21323, 4901, 4662, 1551, 21171, 1103, 1269, 1928, 2860, 117, 178, 119, 174, 119, 170, 23565, 1664, 118, 2392, 3292, 1811, 1160, 118, 1352, 6136, 117, 1110, 1145, 2756, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 2703, 1275, 118, 6552, 22729, 11039, 139, 16382, 23493, 116, 1851, 1495, 1144, 1151, 19232, 1114, 1103, 159, 10783, 1219, 1103, 1669, 1428, 1106, 1340, 1772, 119, 3446, 1195, 1675, 1103, 2686, 1104, 1142, 138, 118, 9566, 129, 119, 125, 144, 3048, 1584, 9437, 2322, 119, 1109, 3413, 174, 5674, 17704, 1104, 9959, 1138, 1126, 1903, 22620, 4869, 1104, 124, 1552, 119, 1109, 2233, 1138, 18826, 1609, 10642, 1111, 1103, 1300, 3596, 118, 10122, 2070, 5644, 113, 5644, 122, 117, 124, 117, 125, 1105, 127, 114, 119, 1284, 1525, 1185, 2418, 24256, 3476, 2607, 1107, 1251, 1104, 1103, 1300, 3596, 10122, 5644, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1130, 1103, 2526, 1195, 4615, 1103, 23639, 5864, 22258, 2235, 1104, 13441, 1104, 188, 7867, 1813, 4601, 9150, 117, 3836, 1118, 2086, 1104, 1103, 11435, 15883, 1104, 1103, 17599, 21442, 11838, 1104, 11287, 14189, 1107, 170, 188, 7867, 1813, 1768, 119, 1212, 1103, 3142, 1104, 25433, 11838, 117, 3836, 1121, 15883, 117, 1105, 1147, 9382, 10226, 8421, 117, 170, 2191, 118, 8080, 1383, 1104, 11838, 1110, 21650, 1134, 4856, 1103, 2191, 118, 176, 1611, 5086, 24558, 13441, 1104, 188, 7867, 1813, 4601, 9150, 119, 1135, 1108, 3836, 1103, 7671, 1804, 1884, 26358, 7810, 2235, 1134, 1145, 1108, 18294, 1193, 27210, 1111, 1103, 1692, 1104, 1141, 118, 6552, 1260, 26038, 1181, 11907, 9019, 1182, 3245, 1105, 1160, 118, 6552, 9326, 23501, 4119, 1449, 119, 1135, 1108, 2602, 1115, 2686, 12864, 19057, 1113, 1103, 3026, 1104, 170, 11435, 2235, 119, 1960, 2747, 1956, 1104, 1884, 26358, 7810, 7243, 1104, 170, 11435, 1449, 1104, 188, 7867, 1813, 4601, 9150, 1127, 3836, 1114, 4161, 1106, 1884, 26358, 7810, 7243, 1104, 1103, 10298, 8234, 3584, 131, 2468, 1104, 4994, 21254, 1104, 27289, 1884, 26358, 7810, 18383, 109, 165, 17648, 109, 1120, 1103, 1159, 14235, 109, 129, 165, 172, 2572, 1204, 10424, 167, 124, 165, 4267, 1964, 1477, 165, 172, 2572, 1204, 10424, 167, 125, 189, 168, 196, 153, 1233, 198, 109, 1105, 2012, 11187, 113, 109, 124, 165, 4267, 1964, 129, 109, 3791, 1104, 10094, 114, 1104, 170, 11435, 1449, 1120, 1103, 1269, 1551, 119, 1109, 2915, 1104, 1216, 1956, 1169, 22015, 1103, 9539, 2749, 1104, 3964, 1104, 1884, 26358, 7810, 22729, 1679, 20362, 19632, 1116, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 8234, 1104, 170, 5989, 1114, 170, 3245, 13169, 10437, 2686, 1107, 1103, 4252, 24214, 1104, 14061, 3476, 5685, 1134, 5782, 17553, 11550, 1121, 1103, 8895, 119, 1130, 1901, 117, 1191, 1103, 8895, 1110, 1136, 9947, 20592, 1197, 1114, 1103, 10437, 117, 1210, 118, 8611, 3154, 1209, 4252, 14375, 16571, 1105, 20276, 1785, 5685, 119, 1284, 3870, 1210, 118, 8611, 177, 19694, 24662, 14314, 1116, 1106, 2025, 1664, 24984, 10437, 118, 5989, 8234, 1107, 1107, 9356, 16388, 5250, 9870, 10303, 16198, 27725, 1111, 170, 2783, 1104, 16488, 24753, 1116, 1121, 109, 121, 167, 165, 172, 3161, 1665, 109, 1106, 109, 7967, 167, 165, 172, 3161, 1665, 109, 119, 1135, 1110, 1218, 1227, 1115, 1210, 118, 8611, 3154, 1132, 1696, 1256, 1111, 6756, 24753, 119, 1130, 1142, 1250, 1195, 113, 122, 114, 1437, 1115, 1111, 12458, 1114, 1353, 24753, 1116, 113, 1112, 1107, 1103, 12700, 1449, 114, 117, 3154, 1216, 1112, 1103, 1703, 18756, 1105, 10348, 2603, 5473, 12864, 1113, 1103, 24753, 1105, 1132, 5409, 1472, 113, 1164, 123, 119, 126, 1551, 2964, 114, 1121, 1103, 1160, 118, 8611, 1692, 117, 113, 123, 114, 1660, 7893, 1162, 1111, 1103, 10348, 2603, 117, 24753, 10660, 1158, 117, 1105, 3073, 16122, 2603, 1104, 12458, 1114, 1472, 24753, 12879, 1107, 10437, 1114, 1472, 3418, 16291, 117, 1105, 113, 124, 114, 1675, 1103, 8310, 1348, 17926, 1104, 170, 5015, 1113, 1126, 13427, 8895, 1114, 4161, 1106, 1103, 5250, 9870, 10303, 16198, 10437, 119, 1370, 1940, 11794, 11368, 1174, 12458, 1195, 1525, 1363, 3311, 1114, 7378, 2749, 1107, 1103, 5310, 1104, 1353, 24753, 1116, 117, 1105, 1114, 9652, 1348, 16630, 10777, 1111, 9533, 24753, 1116, 119, 1284, 1525, 1115, 1107, 1103, 2985, 1692, 117, 1103, 9652, 1348, 16630, 2049, 1110, 1136, 5504, 1106, 1103, 5236, 23724, 10537, 119, 8007, 117, 1103, 4408, 7893, 1162, 1209, 1129, 1696, 1111, 5076, 4252, 4184, 10303, 2145, 1114, 184, 1830, 2646, 18276, 2340, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 16752, 21754, 8865, 8738, 113, 24821, 2162, 114, 1110, 170, 14911, 8738, 1111, 19522, 24034, 21126, 2648, 1114, 3416, 2962, 1105, 11992, 119, 1130, 1142, 2526, 117, 1195, 3689, 170, 19522, 1105, 12196, 3300, 1104, 1103, 8738, 3768, 1118, 1112, 27250, 8167, 23038, 1361, 1342, 27921, 1116, 119, 1706, 1451, 1788, 109, 140, 109, 117, 1195, 6500, 170, 3111, 1104, 1112, 27250, 8167, 23038, 1361, 6468, 2344, 109, 164, 140, 166, 168, 156, 109, 1105, 109, 164, 140, 166, 168, 149, 109, 1134, 5594, 1103, 6519, 4658, 1104, 1103, 6741, 1165, 13367, 1106, 1157, 9247, 1137, 13359, 16470, 118, 118, 118, 1241, 1120, 1103, 1634, 1104, 3395, 2231, 113, 109, 156, 109, 114, 1105, 1104, 3395, 7953, 1105, 11992, 113, 109, 149, 109, 114, 119, 1284, 1173, 4586, 1115, 1451, 4167, 16617, 2780, 109, 165, 185, 1182, 109, 1104, 170, 9228, 109, 165, 23039, 165, 191, 9028, 1324, 165, 196, 153, 165, 198, 140, 165, 196, 154, 165, 198, 109, 12028, 170, 2183, 1105, 1112, 27250, 8167, 23038, 1361, 5564, 109, 164, 165, 185, 1182, 166, 168, 196, 23181, 198, 109, 1114, 4161, 1106, 1241, 1112, 27250, 8167, 23038, 1361, 27921, 1116, 109, 164, 140, 166, 168, 156, 109, 1105, 109, 164, 140, 166, 168, 149, 109, 119, 1622, 1142, 117, 1195, 1260, 7641, 2093, 1126, 1112, 27250, 8167, 23038, 1361, 1839, 1757, 10384, 1111, 24821, 2162, 117, 1134, 2231, 1115, 1103, 21768, 4520, 109, 165, 12523, 7867, 196, 149, 198, 131, 164, 140, 166, 168, 156, 165, 1106, 164, 140, 166, 168, 149, 109, 1121, 1103, 1352, 2365, 27921, 1116, 109, 164, 140, 166, 168, 156, 109, 1106, 1103, 1352, 2008, 27921, 1116, 109, 164, 140, 166, 168, 149, 109, 2068, 1548, 16847, 170, 3501, 20497, 6766, 15937, 2400, 119, 1284, 9411, 1115, 1142, 2790, 170, 4044, 1105, 20046, 7108, 1111, 1103, 4400, 1839, 1757, 10384, 1104, 24821, 2162, 117, 1259, 1103, 5884, 1104, 2233, 3117, 119, 107, 102 ]

[ 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 16005, 1132, 2756, 1111, 1103, 1159, 7243, 1104, 175, 1200, 18248, 2316, 2786, 1107, 170, 1664, 118, 6756, 4143, 2999, 4065, 117, 1378, 1103, 6878, 1113, 1104, 1126, 8394, 8234, 119, 1109, 14189, 1132, 2376, 1107, 1103, 8936, 1174, 4065, 1601, 1106, 1103, 3607, 1553, 117, 1187, 1103, 7688, 2087, 7535, 2386, 23896, 5822, 24176, 1132, 1415, 119, 1109, 3622, 1110, 3303, 1439, 170, 1160, 118, 11287, 178, 16145, 21977, 5225, 117, 1415, 109, 151, 109, 22519, 119, 1109, 1449, 1110, 1737, 1121, 1103, 7281, 1104, 3607, 15027, 11273, 1279, 1187, 1122, 1110, 2602, 1115, 1103, 23896, 5822, 24176, 2812, 8462, 2235, 138, 14189, 119, 138, 8250, 1104, 1142, 8462, 1785, 1110, 1276, 1107, 170, 13794, 22590, 1106, 1103, 175, 1200, 18248, 1179, 7218, 117, 1549, 1118, 170, 188, 7867, 1158, 1532, 109, 189, 167, 196, 113, 124, 118, 173, 114, 120, 123, 198, 156, 168, 173, 113, 165, 15661, 8043, 5053, 4934, 167, 123, 189, 114, 109, 117, 1187, 109, 173, 109, 1110, 1103, 15442, 11025, 117, 109, 189, 109, 1110, 1103, 1159, 1290, 1103, 15027, 11273, 117, 1105, 109, 165, 15661, 8043, 5053, 4934, 109, 1110, 1103, 175, 1200, 18248, 1179, 2308, 119, 1109, 13794, 4658, 1104, 1103, 20277, 3476, 1110, 9829, 1112, 19528, 1496, 1106, 1107, 2528, 12807, 2227, 12971, 6348, 26906, 1228, 7688, 2087, 7535, 2386, 23896, 5822, 24176, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0 ]

[ 101, 107, 2421, 109, 162, 109, 1129, 170, 2530, 23039, 113, 180, 114, 4901, 7091, 7898, 117, 109, 180, 135, 121, 109, 117, 1105, 1519, 109, 161, 109, 1129, 1126, 2457, 3112, 7091, 7898, 119, 1284, 5424, 1115, 1191, 109, 161, 109, 1144, 170, 177, 24312, 21022, 2716, 19863, 12355, 1673, 3476, 1104, 1546, 109, 180, 109, 113, 109, 25259, 168, 180, 109, 114, 117, 1173, 1103, 23190, 1104, 109, 162, 165, 172, 2572, 1204, 161, 109, 1105, 109, 162, 120, 161, 109, 1132, 22214, 21400, 14255, 6005, 18404, 1116, 113, 144, 13478, 114, 119, 1188, 1871, 8559, 2686, 1104, 5396, 16302, 1162, 119, 1105, 4108, 18208, 1162, 1105, 8211, 5800, 1320, 117, 1150, 5165, 3569, 1103, 2740, 109, 180, 134, 122, 109, 1105, 109, 180, 109, 1126, 18157, 119, 1284, 1660, 170, 6777, 1115, 3662, 1155, 109, 180, 135, 121, 109, 1105, 3114, 14077, 7893, 1116, 1111, 1103, 7503, 4226, 1115, 7532, 1343, 1276, 1118, 4108, 18208, 1162, 1105, 8211, 5800, 1320, 1107, 1103, 18157, 1692, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 107, 1109, 1514, 1871, 1104, 1142, 2526, 1110, 170, 7597, 2590, 1106, 164, 12523, 119, 149, 2346, 120, 4850, 1568, 1580, 14541, 1571, 117, 21710, 126, 119, 126, 166, 131, 170, 10996, 1122, 17166, 1104, 6896, 2508, 12344, 6524, 25071, 9807, 13179, 19690, 1111, 1242, 6524, 25071, 3552, 1118, 8462, 1785, 11934, 119, 1284, 1145, 1660, 1199, 2686, 6995, 15058, 5924, 1104, 1103, 27466, 14721, 118, 16326, 3552, 1118, 1343, 8462, 1785, 11934, 119, 107, 102 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]