Datasets:
manu
/
tok_dataset_1_newtok

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
37
2.05k
attention_mask
sequencelengths
37
2.05k
labels
sequencelengths
37
2.05k
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 18263, 20246, 1522, 173, 11883, 1125, 1518, 4313, 2565, 1916, 8665, 2324, 1491, 174, 1916, 1496, 2487, 1170, 3694, 22416, 1460, 3031, 12748, 16976, 3312, 3282, 1280, 1514, 176, 16871, 176, 1125, 2324, 15984, 8830, 186, 462, 3031, 1189, 1691, 1573, 1450, 1125, 1127, 1979, 1104, 1116, 3048, 174, 2624, 15974, 1215, 9720, 173, 11883, 1125, 2324, 1491, 193, 1541, 1317, 2271, 3463, 2247, 6298, 1188, 1222, 1510, 1107, 2240, 3561, 1188, 3458, 19185, 1317, 18762, 13469, 1125, 1222, 1387, 182, 1255, 1167, 2069, 19185, 1317, 8030, 1125, 1248, 1554, 1255, 1272, 1573, 1186, 1772, 1439, 4497, 1775, 3551, 1141, 1576, 106, 106, 30609, 488, 106, 4298, 27494, 17099, 1473, 2750, 1158, 4541, 1125, 13811, 13949, 1189, 3274, 1125, 1127, 1979, 1104, 29511, 1125, 2324, 1491, 193, 1541, 1999, 3173, 5738, 1186, 488, 124, 124, 129, 126, 1362, 488, 124, 124, 129, 128, 5639, 1125, 1222, 1387, 182, 9468, 1186, 1772, 1439, 10600, 1129, 1164, 1105, 5907, 106, 106, 4455, 3080, 1430, 9424, 1215, 1816, 3453, 1522, 173, 11883, 1116, 3048, 174, 3556, 1313, 1207, 28398, 10600, 1129, 1164, 1105, 1541, 1508, 14968, 1320, 182, 1916, 119, 16512, 2079, 488, 124, 124, 132, 123, 5639, 1125, 1233, 10667, 2405, 119, 9720, 173, 11883, 7482, 2336, 1379, 1175, 2094, 488, 124, 124, 132, 125, 116, 1167, 9720, 173, 11883, 1125, 16839, 5778, 1188, 16839, 17428, 182, 1728, 11086, 5639, 1125, 1233, 1635, 1108, 5838, 1175, 124, 125, 127, 123, 1576, 106, 106, 18263, 11756, 11883, 5315, 1740, 1370, 1318, 3828, 21179, 1134, 3030, 4654, 30393, 1207, 4092, 1125, 1223, 2145, 19935, 3171, 20935, 1125, 21849, 9049, 6096, 30231, 1313, 1440, 17492, 3767, 1962, 1197, 2165, 2399, 10086, 1123, 2445, 1125, 5087, 10742, 1346, 1188, 1321, 1783, 9468, 1173, 1456, 8539, 2194, 261, 1285, 4390, 1119, 194, 237, 1412, 1108, 1167, 1300, 28723, 1125, 4847, 1374, 184, 1396, 2461, 186, 1307, 1167, 5315, 1740, 1370, 1318, 1638, 1678, 1188, 12800, 1213, 194, 3456, 11560, 1182, 175, 1510, 1107, 2240, 1140, 1576, 106, 106, 17971, 11402, 25525, 6298, 1158, 1772, 1439, 22668, 4212, 1317, 11286, 1119, 13780, 2382, 12744, 23767, 14715, 1207, 14855, 5402, 17333, 1508, 1114, 1416, 2344, 4160, 1457, 1548, 11402, 25525, 6298, 1158, 9287, 1691, 21668, 1125, 1518, 4313, 2565, 1916, 1299, 9144, 2734, 1167, 1207, 11520, 1125, 1282, 11756, 11883, 1508, 1776, 1120, 8858, 1215, 1207, 12653, 4059, 3045, 1125, 1158, 1772, 12970, 1808, 16963, 1508, 31264, 1167, 3175, 1172, 5068, 106, 106, 140, 1250, 26851, 1167, 23841, 4118, 174, 5899, 1207, 8176, 24586, 3967, 1125, 9720, 173, 11883, 15824, 1691, 1310, 1890, 1125, 5999, 13061, 1125, 4392, 116, 1508, 1186, 2995, 1234, 1167, 3458, 12339, 24815, 10723, 1508, 3042, 28354, 1457, 1768, 1288, 4933, 5025, 1125, 9720, 173, 11883, 1125, 1518, 4313, 2565, 1916, 121, 3559, 1290, 4183, 1691, 12913, 1122, 1497, 2035, 1121, 1985, 2985, 1253, 1738, 1303, 4410, 2585, 2399, 1281, 5428, 30062, 106, 106, 141, 13449, 488, 106, 10598, 1201, 1724, 133, 1867, 1873, 7438, 7009, 1522, 1331, 181, 1518, 4313, 2565, 1916, 3260, 181, 1248, 1554, 1255, 1272, 1182, 1400, 1512, 1737, 23627, 2824, 182, 1274, 119, 1202, 2329, 182, 14736, 10448, 1173, 1117, 1210, 4145, 2068, 1208, 1772, 1591, 1347, 23148, 181, 1107, 5657, 488, 125, 119, 488, 124, 132, 130, 131, 119, 15022, 488, 130, 130, 458, 131, 131, 106, 21211, 6687, 17561, 133, 16244, 1123, 6759, 4120, 173, 23021, 4140, 3897, 11323, 12929, 2397, 3048, 197, 1354, 2390, 11079, 257, 22439, 1518, 4313, 2565, 1916, 119, 14968, 1320, 182, 1916, 3167, 16839, 17428, 182, 1728, 1180, 5661, 1147, 133, 17317, 3985, 184, 1175, 3078, 1576, 119, 8471, 4120, 173, 2145, 1172, 1477, 182, 3167, 1325, 24399, 1210, 2564, 1634, 1886, 1439, 1127, 2570, 1140, 1132, 1213, 1380, 3331, 3225, 8221, 3167, 30456, 257, 190, 5661, 5763, 183, 4975, 18868, 29782, 8201, 1108, 488, 124, 130, 119, 30438, 1462, 1243, 3324, 1108, 488, 130, 119, 5763, 23986, 488, 124, 132, 130, 125, 119, 15022, 488, 129, 130, 458, 132, 129, 106, 155, 1154, 1174, 4705, 122, 10598, 1201, 1724, 133, 11374, 4687, 239, 1737, 28466, 1814, 15380, 2547, 23021, 4140, 2397, 3048, 197, 1354, 2390, 1219, 1148, 1354, 21815, 1153, 8830, 1153, 14165, 4313, 2565, 1916, 116, 1280, 180, 1248, 1554, 1255, 1272, 1182, 5587, 3435, 116, 3167, 10315, 13949, 1153, 1147, 1192, 2336, 1379, 7194, 3435, 1496, 1313, 5796, 4735, 2562, 7569, 4741, 19401, 124, 132, 1175, 124, 132, 130, 130, 1496, 15022, 488, 124, 130, 126, 458, 125, 128, 132, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 106, 150, 4313, 2565, 1916, 106, 150, 4313, 2565, 1916, 106, 141, 237, 19558, 1313, 1158, 10660, 1125, 1772, 1439, 106, 30609, 1125, 1158, 10660, 1125, 1772, 1439, 106, 12225, 1205, 1231, 1313, 1158, 10660, 1125, 1772, 1439, 106, 143, 1199, 1255, 1217, 1733, 121, 32001, 488, 106, 32000, 20036, 106, 18263, 20246, 1522, 173, 11883, 1125, 1518, 4313, 2565, 1916, 8665, 2324, 1491, 174, 1916, 1496, 2487, 1170, 3694, 22416, 1460, 3031, 12748, 16976, 3312, 3282, 1280, 1514, 176, 16871, 176, 1125, 2324, 15984, 8830, 186, 462, 3031, 1189, 1691, 1573, 1450, 1125, 1127, 1979, 1104, 1116, 3048, 174, 2624, 15974, 1215, 9720, 173, 11883, 1125, 2324, 1491, 193, 1541, 1317, 488, 2271, 3463, 176, 6298, 1188, 1222, 1510, 1107, 2240, 3561, 1188, 3458, 19185, 1317, 18762, 13469, 1125, 1222, 1387, 182, 1255, 1167, 2069, 19185, 1317, 8030, 1125, 1248, 1554, 1255, 1272, 1573, 1186, 1772, 1439, 4497, 1775, 3551, 1141, 1576, 106, 106, 30609, 488, 106, 4298, 27494, 17099, 1473, 2750, 1158, 4541, 1125, 13811, 13949, 1189, 3274, 1125, 1127, 1979, 1104, 29511, 1125, 2324, 1491, 193, 1541, 1999, 3173, 5738, 1186, 488, 124, 124, 129, 126, 1362, 488, 124, 124, 129, 128, 5639, 1125, 1222, 1387, 182, 9468, 1186, 1772, 1439, 10600, 1129, 1164, 1105, 5907, 106, 106, 4455, 3080, 1430, 9424, 1215, 1816, 3453, 1522, 173, 11883, 1116, 3048, 174, 3556, 1313, 1207, 28398, 10600, 1129, 1164, 1105, 1541, 1508, 14968, 1320, 182, 1916, 119, 16512, 2079, 488, 124, 124, 132, 123, 5639, 1125, 1233, 10667, 2405, 119, 9720, 173, 11883, 7482, 2336, 1379, 1175, 2094, 488, 124, 124, 132, 125, 116, 1167, 9720, 173, 11883, 1125, 16839, 5778, 1188, 16839, 17428, 182, 1728, 11086, 5639, 1125, 1233, 1635, 1108, 5838, 1175, 124, 125, 127, 123, 1576, 106, 106, 18263, 11756, 11883, 5315, 1740, 1370, 1318, 3828, 21179, 1134, 3030, 4654, 30393, 1207, 4092, 1125, 1223, 2145, 19935, 3171, 20935, 1125, 21849, 9049, 6096, 30231, 1313, 1440, 17492, 3767, 1962, 1197, 2165, 2399, 10086, 1123, 2445, 1125, 5087, 10742, 1346, 1188, 1321, 1783, 9468, 1173, 1456, 8539, 2194, 261, 1285, 4390, 1119, 194, 237, 1412, 1108, 1167, 1300, 28723, 1125, 4847, 1374, 184, 1396, 2461, 186, 1307, 1167, 5315, 1740, 1370, 1318, 1638, 1678, 1188, 12800, 1213, 194, 3456, 11560, 1182, 175, 1510, 1107, 2240, 1140, 1576, 106, 106, 17971, 11402, 25525, 6298, 1158, 1772, 1439, 22668, 4212, 1317, 11286, 1119, 13780, 2382, 12744, 23767, 14715, 1207, 14855, 5402, 17333, 1508, 1114, 1416, 2344, 4160, 1457, 1548, 11402, 25525, 6298, 1158, 9287, 1691, 21668, 1125, 1518, 4313, 2565, 1916, 1299, 9144, 2734, 1167, 1207, 11520, 1125, 1282, 11756, 11883, 1508, 1776, 1120, 8858, 1215, 1207, 12653, 4059, 3045, 1125, 1158, 1772, 12970, 1808, 16963, 1508, 31264, 1167, 3175, 1172, 5068, 106, 106, 140, 1250, 26851, 1167, 23841, 4118, 174, 5899, 1207, 8176, 24586, 3967, 1125, 9720, 173, 11883, 15824, 1691, 1310, 1890, 1125, 5999, 13061, 1125, 4392, 116, 1508, 1186, 2995, 1234, 1167, 3458, 12339, 24815, 10723, 1508, 3042, 28354, 1457, 1768, 1288, 4933, 5025, 1125, 9720, 173, 11883, 1125, 1518, 4313, 2565, 1916, 121, 3559, 1290, 4183, 1691, 12913, 1122, 1497, 2035, 1121, 1985, 2985, 1253, 1738, 1303, 4410, 2585, 2399, 1281, 5428, 30062, 106, 106, 141, 13449, 488, 106, 10598, 1201, 1724, 133, 1867, 1873, 7438, 7009, 1522, 1331, 181, 1518, 4313, 2565, 1916, 3260, 181, 1248, 1554, 1255, 1272, 1182, 1400, 1512, 1737, 23627, 2824, 182, 1274, 119, 1202, 2329, 182, 14736, 10448, 1173, 1117, 1210, 4145, 2068, 1208, 1772, 1591, 1347, 23148, 181, 1107, 5657, 488, 125, 119, 488, 124, 132, 130, 131, 119, 15022, 488, 130, 130, 458, 131, 131, 106, 21211, 6687, 17561, 133, 16244, 1123, 6759, 4120, 173, 23021, 4140, 3897, 11323, 12929, 2397, 3048, 197, 1354, 2390, 11079, 257, 22439, 1518, 4313, 2565, 1916, 119, 14968, 1320, 182, 1916, 3167, 16839, 17428, 182, 1728, 1180, 5661, 1147, 133, 17317, 3985, 184, 1175, 3078, 1576, 119, 8471, 4120, 173, 2145, 1172, 1477, 182, 3167, 1325, 24399, 1210, 2564, 1634, 1886, 1439, 1127, 2570, 1140, 1132, 1213, 1380, 3331, 3225, 8221, 3167, 30456, 257, 190, 5661, 5763, 183, 4975, 18868, 29782, 8201, 1108, 488, 124, 130, 119, 30438, 1462, 1243, 3324, 1108, 488, 130, 119, 5763, 23986, 488, 124, 132, 130, 125, 119, 15022, 488, 129, 130, 458, 132, 129, 106, 155, 1154, 1174, 4705, 122, 10598, 1201, 1724, 133, 11374, 4687, 239, 1737, 28466, 1814, 15380, 2547, 23021, 4140, 2397, 3048, 197, 1354, 2390, 1219, 1148, 1354, 21815, 1153, 8830, 1153, 14165, 4313, 2565, 1916, 116, 1280, 180, 1248, 1554, 1255, 1272, 1182, 5587, 3435, 116, 3167, 10315, 13949, 1153, 1147, 1192, 2336, 1379, 7194, 3435, 1496, 1313, 5796, 4735, 2562, 7569, 4741, 19401, 124, 132, 1175, 124, 132, 130, 130, 1496, 15022, 488, 124, 130, 126, 458, 125, 128, 132, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 106, 150, 4313, 2565, 1916, 106, 150, 4313, 2565, 1916, 106, 141, 237, 19558, 1313, 1158, 10660, 1125, 1772, 1439, 106, 30609, 1125, 1158, 10660, 1125, 1772, 1439, 106, 12225, 1205, 1231, 1313, 1158, 10660, 1125, 1772, 1439, 106, 143, 1199, 1255, 1217, 1733, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 18263, 20246, 1522, 173, 11883, 1125, 1518, 4313, 2565, 1916, 8665, 2324, 1491, 174, 1916, 1496, 2487, 1170, 3694, 22416, 1460, 3031, 12748, 16976, 3312, 3282, 1280, 1514, 176, 16871, 176, 1125, 2324, 15984, 8830, 186, 462, 3031, 1189, 1691, 1573, 1450, 1125, 1127, 1979, 1104, 1116, 3048, 174, 2624, 15974, 1215, 9720, 173, 11883, 1125, 2324, 1491, 193, 1541, 1317, 488, 2271, 3463, 176, 6298, 1188, 1222, 1510, 1107, 2240, 3561, 1188, 3458, 19185, 1317, 18762, 13469, 1125, 1222, 1387, 182, 1255, 1167, 2069, 19185, 1317, 8030, 1125, 1248, 1554, 1255, 1272, 1573, 1186, 1772, 1439, 4497, 1775, 3551, 1141, 1576, 106, 106, 30609, 488, 106, 4298, 27494, 17099, 1473, 2750, 1158, 4541, 1125, 13811, 13949, 1189, 3274, 1125, 1127, 1979, 1104, 29511, 1125, 2324, 1491, 193, 1541, 1999, 3173, 5738, 1186, 488, 124, 124, 129, 126, 1362, 488, 124, 124, 129, 128, 5639, 1125, 1222, 1387, 182, 9468, 1186, 1772, 1439, 10600, 1129, 1164, 1105, 5907, 106, 106, 4455, 3080, 1430, 9424, 1215, 1816, 3453, 1522, 173, 11883, 1116, 3048, 174, 3556, 1313, 1207, 28398, 10600, 1129, 1164, 1105, 1541, 1508, 14968, 1320, 182, 1916, 119, 16512, 2079, 488, 124, 124, 132, 123, 5639, 1125, 1233, 10667, 2405, 119, 9720, 173, 11883, 7482, 2336, 1379, 1175, 2094, 488, 124, 124, 132, 125, 116, 1167, 9720, 173, 11883, 1125, 16839, 5778, 1188, 16839, 17428, 182, 1728, 11086, 5639, 1125, 1233, 1635, 1108, 5838, 1175, 124, 125, 127, 123, 1576, 106, 106, 18263, 11756, 11883, 5315, 1740, 1370, 1318, 3828, 21179, 1134, 3030, 4654, 30393, 1207, 4092, 1125, 1223, 2145, 19935, 3171, 20935, 1125, 21849, 9049, 6096, 30231, 1313, 1440, 17492, 3767, 1962, 1197, 2165, 2399, 10086, 1123, 2445, 1125, 5087, 10742, 1346, 1188, 1321, 1783, 9468, 1173, 1456, 8539, 2194, 261, 1285, 4390, 1119, 194, 237, 1412, 1108, 1167, 1300, 28723, 1125, 4847, 1374, 184, 1396, 2461, 186, 1307, 1167, 5315, 1740, 1370, 1318, 1638, 1678, 1188, 12800, 1213, 194, 3456, 11560, 1182, 175, 1510, 1107, 2240, 1140, 1576, 106, 106, 17971, 11402, 25525, 6298, 1158, 1772, 1439, 22668, 4212, 1317, 11286, 1119, 13780, 2382, 12744, 23767, 14715, 1207, 14855, 5402, 17333, 1508, 1114, 1416, 2344, 4160, 1457, 1548, 11402, 25525, 6298, 1158, 9287, 1691, 21668, 1125, 1518, 4313, 2565, 1916, 1299, 9144, 2734, 1167, 1207, 11520, 1125, 1282, 11756, 11883, 1508, 1776, 1120, 8858, 1215, 1207, 12653, 4059, 3045, 1125, 1158, 1772, 12970, 1808, 16963, 1508, 31264, 1167, 3175, 1172, 5068, 106, 106, 140, 1250, 26851, 1167, 23841, 4118, 174, 5899, 1207, 8176, 24586, 3967, 1125, 9720, 173, 11883, 15824, 1691, 1310, 1890, 1125, 5999, 13061, 1125, 4392, 116, 1508, 1186, 2995, 1234, 1167, 3458, 12339, 24815, 10723, 1508, 3042, 28354, 1457, 1768, 1288, 4933, 5025, 1125, 9720, 173, 11883, 1125, 1518, 4313, 2565, 1916, 121, 3559, 1290, 4183, 1691, 12913, 1122, 1497, 2035, 1121, 1985, 2985, 1253, 1738, 1303, 4410, 2585, 2399, 1281, 5428, 30062, 106, 106, 141, 13449, 488, 106, 10598, 1201, 1724, 133, 1867, 1873, 7438, 7009, 1522, 1331, 181, 1518, 4313, 2565, 1916, 3260, 181, 1248, 1554, 1255, 1272, 1182, 1400, 1512, 1737, 23627, 2824, 182, 1274, 119, 1202, 2329, 182, 14736, 10448, 1173, 1117, 1210, 4145, 2068, 1208, 1772, 1591, 1347, 23148, 181, 1107, 5657, 488, 125, 119, 488, 124, 132, 130, 131, 119, 15022, 488, 130, 130, 458, 131, 131, 106, 21211, 6687, 17561, 133, 16244, 1123, 6759, 4120, 173, 23021, 4140, 3897, 11323, 12929, 2397, 3048, 197, 1354, 2390, 11079, 257, 22439, 1518, 4313, 2565, 1916, 119, 14968, 1320, 182, 1916, 3167, 16839, 17428, 182, 1728, 1180, 5661, 1147, 133, 17317, 3985, 184, 1175, 3078, 1576, 119, 8471, 4120, 173, 2145, 1172, 1477, 182, 3167, 1325, 24399, 1210, 2564, 1634, 1886, 1439, 1127, 2570, 1140, 1132, 1213, 1380, 3331, 3225, 8221, 3167, 30456, 257, 190, 5661, 5763, 183, 4975, 18868, 29782, 8201, 1108, 488, 124, 130, 119, 30438, 1462, 1243, 3324, 1108, 488, 130, 119, 5763, 23986, 488, 124, 132, 130, 125, 119, 15022, 488, 129, 130, 458, 132, 129, 106, 155, 1154, 1174, 4705, 122, 10598, 1201, 1724, 133, 11374, 4687, 239, 1737, 28466, 1814, 15380, 2547, 23021, 4140, 2397, 3048, 197, 1354, 2390, 1219, 1148, 1354, 21815, 1153, 8830, 1153, 14165, 4313, 2565, 1916, 116, 1280, 180, 1248, 1554, 1255, 1272, 1182, 5587, 3435, 116, 3167, 10315, 13949, 1153, 1147, 1192, 2336, 1379, 7194, 3435, 1496, 1313, 5796, 4735, 2562, 7569, 4741, 19401, 124, 132, 1175, 124, 132, 130, 130, 1496, 15022, 488, 124, 130, 126, 458, 125, 128, 132, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 106, 150, 4313, 2565, 1916, 106, 150, 4313, 2565, 1916, 106, 141, 237, 19558, 1313, 1158, 10660, 1125, 1772, 1439, 106, 30609, 1125, 1158, 10660, 1125, 1772, 1439, 106, 12225, 1205, 1231, 1313, 1158, 10660, 1125, 1772, 1439, 106, 143, 1199, 1255, 1217, 1733, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 150, 1322, 1180, 5587, 189, 1257, 2072, 8200, 1180, 116, 1299, 1318, 488, 11363, 16877, 1244, 1357, 1844, 3247, 1125, 1282, 2528, 21562, 1167, 1227, 1139, 1544, 1227, 1222, 1259, 1416, 1119, 7551, 1313, 1158, 4592, 2605, 178, 3798, 3450, 2803, 3997, 488, 124, 123, 123, 123, 4393, 13609, 6280, 17128, 1299, 1170, 2515, 1125, 1772, 11136, 1357, 2803, 488, 126, 123, 123, 4393, 5996, 106, 106, 30609, 106, 106, 6880, 11363, 2803, 1188, 1158, 15127, 1125, 1158, 6545, 1304, 1490, 22746, 16877, 1244, 6334, 488, 130, 123, 123, 123, 11411, 1167, 18001, 1856, 1202, 190, 5834, 1167, 3171, 20403, 1227, 1185, 1172, 3849, 10217, 15845, 8303, 1309, 3621, 2298, 1104, 1167, 24160, 14624, 1188, 1158, 6425, 2519, 2164, 7416, 16796, 10604, 121, 3450, 1299, 13210, 1193, 2806, 1186, 488, 124, 131, 125, 127, 119, 1215, 1207, 21863, 2231, 2124, 1117, 6542, 1317, 2424, 1125, 5613, 26875, 1143, 1824, 3841, 1167, 4933, 3042, 2290, 2698, 3315, 1143, 1824, 3841, 2596, 8921, 1170, 4933, 1227, 1222, 1259, 1416, 1119, 243, 5650, 2399, 1299, 6349, 7723, 1303, 1215, 1282, 20270, 1125, 488, 124, 132, 124, 125, 1188, 488, 124, 132, 127, 130, 119, 2567, 9033, 1338, 2251, 2047, 1303, 1188, 1158, 25552, 121, 106, 106, 146, 22857, 106, 106, 6880, 11363, 1125, 1518, 1322, 1180, 18402, 9533, 1160, 2445, 1207, 9118, 20403, 14786, 1219, 11568, 17194, 3558, 1575, 10019, 1188, 488, 126, 7275, 1188, 21204, 2442, 1309, 1125, 26829, 2548, 1120, 3266, 3450, 1281, 5209, 1835, 9161, 5889, 5160, 1188, 488, 130, 7275, 1317, 20449, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 9161, 5889, 1180, 1167, 1158, 10148, 24438, 1188, 488, 127, 128, 7275, 1317, 18762, 1118, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 1518, 1322, 8318, 1867, 4438, 1871, 6448, 8640, 23684, 1125, 1518, 1322, 1180, 4946, 488, 124, 128, 7275, 1125, 1115, 12167, 1136, 1256, 1318, 30189, 1125, 488, 130, 1498, 5784, 106, 106, 224, 15051, 106, 106, 142, 2748, 106, 106, 16976, 3375, 1167, 11639, 106, 106, 152, 7314, 1115, 1348, 19125, 1518, 1322, 1180, 1299, 5499, 1303, 1313, 1115, 148, 1333, 2240, 13076, 1137, 6909, 1313, 1170, 24388, 1277, 1197, 30107, 1541, 1227, 6311, 1270, 2851, 1571, 2079, 488, 129, 130, 129, 120, 129, 131, 123, 1257, 2399, 10562, 1370, 1469, 1518, 5160, 1266, 17077, 1150, 1285, 1518, 2930, 5717, 5160, 1167, 9161, 5889, 5160, 19517, 30107, 1541, 2290, 1170, 5759, 1160, 1125, 2708, 1176, 5216, 176, 1167, 16996, 1479, 5160, 1188, 21090, 16877, 1244, 26190, 1215, 4115, 1174, 1320, 23340, 1167, 23304, 28812, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 227, 1126, 1186, 2605, 178, 1303, 3046, 1550, 175, 1231, 1366, 106, 143, 1259, 1416, 1119, 7551, 114, 32001, 488, 106, 32000, 20036, 106, 150, 1322, 1180, 5587, 189, 1257, 2072, 8200, 1180, 116, 1299, 1318, 488, 11363, 16877, 1244, 1357, 1844, 3247, 1125, 1282, 2528, 21562, 1167, 1227, 1139, 1544, 1227, 1222, 1259, 1416, 1119, 7551, 1313, 1158, 4592, 2605, 178, 3798, 3450, 2803, 3997, 488, 488, 124, 123, 123, 123, 4393, 5996, 6280, 17128, 1299, 1170, 2515, 1125, 1772, 196, 1357, 2803, 488, 126, 123, 123, 4393, 5996, 106, 106, 30609, 488, 106, 106, 6880, 11363, 2803, 1188, 1158, 15127, 1125, 1158, 6545, 1304, 1490, 22746, 16877, 1244, 6334, 488, 488, 130, 123, 123, 123, 11411, 1167, 18001, 1856, 1202, 190, 5834, 1167, 3171, 20403, 1227, 1185, 1172, 3849, 10217, 31532, 8303, 1309, 3621, 2298, 1104, 1167, 24160, 14624, 1188, 1158, 6425, 2519, 2164, 7416, 16796, 10604, 121, 3450, 1299, 13210, 1193, 2806, 1186, 488, 124, 131, 125, 127, 119, 1215, 1207, 21863, 2231, 2124, 1117, 6542, 1317, 2424, 1125, 5613, 26875, 1143, 1824, 3841, 1167, 4933, 3042, 2290, 2698, 3315, 1143, 1824, 3841, 2596, 8921, 1170, 4933, 1227, 1222, 1259, 1416, 1119, 243, 5650, 2399, 1299, 6349, 7723, 1303, 1215, 1282, 20270, 1125, 488, 124, 132, 124, 125, 1188, 488, 124, 132, 127, 130, 119, 2567, 9033, 1338, 2251, 2047, 1303, 1188, 1158, 25552, 121, 106, 106, 146, 22857, 488, 106, 106, 6880, 11363, 1125, 1518, 1322, 1180, 18402, 9533, 1160, 2445, 1207, 9118, 20403, 14786, 1219, 11568, 17194, 3558, 1575, 10019, 1188, 488, 126, 7275, 1188, 29487, 2442, 1309, 1125, 26829, 2548, 1120, 3266, 3450, 1281, 5209, 1835, 9161, 5889, 5160, 1188, 488, 130, 7275, 1317, 20449, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 9161, 5889, 1180, 1167, 1158, 10148, 24438, 1188, 488, 127, 128, 7275, 1317, 18762, 1118, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 1518, 1322, 8318, 1867, 4438, 1871, 6448, 8640, 23684, 1125, 1518, 1322, 1180, 4946, 488, 488, 124, 128, 7275, 1125, 16618, 1256, 1318, 30189, 1125, 488, 130, 1498, 5784, 106, 106, 224, 15051, 106, 106, 142, 2748, 106, 106, 16976, 3375, 1167, 11639, 106, 106, 152, 7314, 22497, 488, 106, 150, 1322, 1180, 1299, 5499, 1303, 1313, 1115, 148, 1333, 2240, 13076, 1137, 6909, 1313, 1170, 24388, 1277, 1197, 30107, 1541, 1227, 6311, 1270, 2851, 1571, 2079, 488, 129, 130, 129, 120, 129, 131, 123, 1257, 2399, 10562, 1370, 1469, 1518, 5160, 1266, 17077, 1150, 1285, 1518, 2930, 5717, 5160, 1167, 9161, 5889, 5160, 19517, 30107, 1541, 2290, 1170, 5759, 1160, 1125, 2708, 1176, 5216, 176, 1167, 16996, 1479, 5160, 1188, 21090, 16877, 1244, 26190, 1215, 4115, 1174, 1320, 23340, 1167, 23304, 28812, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 488, 106, 488, 106, 488, 106, 106, 227, 1126, 1186, 2605, 178, 1303, 3046, 1550, 175, 1231, 1366, 106, 143, 1259, 1416, 1119, 7551, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 150, 1322, 1180, 5587, 189, 1257, 2072, 8200, 1180, 116, 1299, 1318, 488, 11363, 16877, 1244, 1357, 1844, 3247, 1125, 1282, 2528, 21562, 1167, 1227, 1139, 1544, 1227, 1222, 1259, 1416, 1119, 7551, 1313, 1158, 4592, 2605, 178, 3798, 3450, 2803, 3997, 488, 488, 124, 123, 123, 123, 4393, 5996, 6280, 17128, 1299, 1170, 2515, 1125, 1772, 196, 1357, 2803, 488, 126, 123, 123, 4393, 5996, 106, 106, 30609, 488, 106, 106, 6880, 11363, 2803, 1188, 1158, 15127, 1125, 1158, 6545, 1304, 1490, 22746, 16877, 1244, 6334, 488, 488, 130, 123, 123, 123, 11411, 1167, 18001, 1856, 1202, 190, 5834, 1167, 3171, 20403, 1227, 1185, 1172, 3849, 10217, 31532, 8303, 1309, 3621, 2298, 1104, 1167, 24160, 14624, 1188, 1158, 6425, 2519, 2164, 7416, 16796, 10604, 121, 3450, 1299, 13210, 1193, 2806, 1186, 488, 124, 131, 125, 127, 119, 1215, 1207, 21863, 2231, 2124, 1117, 6542, 1317, 2424, 1125, 5613, 26875, 1143, 1824, 3841, 1167, 4933, 3042, 2290, 2698, 3315, 1143, 1824, 3841, 2596, 8921, 1170, 4933, 1227, 1222, 1259, 1416, 1119, 243, 5650, 2399, 1299, 6349, 7723, 1303, 1215, 1282, 20270, 1125, 488, 124, 132, 124, 125, 1188, 488, 124, 132, 127, 130, 119, 2567, 9033, 1338, 2251, 2047, 1303, 1188, 1158, 25552, 121, 106, 106, 146, 22857, 488, 106, 106, 6880, 11363, 1125, 1518, 1322, 1180, 18402, 9533, 1160, 2445, 1207, 9118, 20403, 14786, 1219, 11568, 17194, 3558, 1575, 10019, 1188, 488, 126, 7275, 1188, 29487, 2442, 1309, 1125, 26829, 2548, 1120, 3266, 3450, 1281, 5209, 1835, 9161, 5889, 5160, 1188, 488, 130, 7275, 1317, 20449, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 9161, 5889, 1180, 1167, 1158, 10148, 24438, 1188, 488, 127, 128, 7275, 1317, 18762, 1118, 7965, 2487, 2399, 1299, 11660, 1303, 1215, 1170, 4452, 5548, 1125, 1518, 1322, 8318, 1867, 4438, 1871, 6448, 8640, 23684, 1125, 1518, 1322, 1180, 4946, 488, 488, 124, 128, 7275, 1125, 16618, 1256, 1318, 30189, 1125, 488, 130, 1498, 5784, 106, 106, 224, 15051, 106, 106, 142, 2748, 106, 106, 16976, 3375, 1167, 11639, 106, 106, 152, 7314, 22497, 488, 106, 150, 1322, 1180, 1299, 5499, 1303, 1313, 1115, 148, 1333, 2240, 13076, 1137, 6909, 1313, 1170, 24388, 1277, 1197, 30107, 1541, 1227, 6311, 1270, 2851, 1571, 2079, 488, 129, 130, 129, 120, 129, 131, 123, 1257, 2399, 10562, 1370, 1469, 1518, 5160, 1266, 17077, 1150, 1285, 1518, 2930, 5717, 5160, 1167, 9161, 5889, 5160, 19517, 30107, 1541, 2290, 1170, 5759, 1160, 1125, 2708, 1176, 5216, 176, 1167, 16996, 1479, 5160, 1188, 21090, 16877, 1244, 26190, 1215, 4115, 1174, 1320, 23340, 1167, 23304, 28812, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 488, 106, 488, 106, 488, 106, 106, 227, 1126, 1186, 2605, 178, 1303, 3046, 1550, 175, 1231, 1366, 106, 143, 1259, 1416, 1119, 7551, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 1270, 1273, 1114, 1277, 196, 1175, 1119, 1270, 1109, 1143, 1120, 1257, 488, 2040, 12891, 1692, 1606, 14915, 1125, 26256, 15198, 1299, 1189, 24678, 28106, 1146, 13644, 1125, 5871, 1314, 3615, 1542, 1129, 1125, 8613, 23586, 1138, 283, 3299, 119, 1163, 177, 4353, 2050, 193, 4314, 1362, 5873, 174, 1496, 1116, 5563, 7581, 1469, 1197, 2593, 1277, 1623, 7706, 1309, 1197, 22287, 1623, 1125, 10881, 1146, 7658, 1227, 1270, 12781, 1227, 1116, 1819, 1107, 180, 1167, 1115, 1348, 1188, 1318, 20850, 3391, 2532, 1214, 1188, 13680, 1176, 3847, 1768, 1299, 3896, 5186, 2334, 191, 18327, 1469, 1227, 2811, 5520, 1723, 1915, 2072, 4110, 1158, 4438, 2335, 1270, 1246, 1520, 1109, 1469, 1197, 1139, 1118, 3023, 1116, 21501, 1186, 1360, 1123, 7471, 106, 106, 22507, 1170, 2854, 488, 106, 2606, 1270, 1273, 1114, 1277, 196, 1299, 1188, 1282, 2601, 1314, 1189, 14689, 1270, 1109, 5596, 1207, 29638, 17796, 1282, 17594, 1895, 12402, 1469, 5924, 1186, 2368, 6147, 1199, 1313, 1125, 5087, 23496, 1227, 15153, 7155, 1227, 29033, 1188, 1158, 2320, 1197, 1139, 1118, 19055, 3557, 1189, 1197, 23034, 24687, 1309, 2260, 6471, 1207, 3795, 23354, 16419, 190, 1125, 1643, 5294, 1145, 4986, 5740, 1357, 8135, 3035, 1105, 7228, 2959, 11497, 1303, 1469, 1207, 8329, 1517, 121, 6053, 2445, 12749, 1189, 14689, 1125, 1158, 9189, 9419, 3589, 27610, 8012, 1114, 4384, 2308, 1119, 1217, 14662, 1167, 1408, 16293, 184, 2121, 9419, 3589, 20368, 2794, 121, 1808, 8184, 1554, 1186, 2004, 2445, 1964, 5865, 3451, 121, 1653, 16629, 1527, 9016, 1197, 4322, 23654, 19608, 1415, 1125, 11597, 1141, 29610, 1234, 1606, 19608, 3023, 1125, 6141, 1524, 488, 1186, 17796, 1167, 1606, 19608, 3023, 1125, 13341, 1524, 1111, 1896, 172, 29026, 1106, 15324, 1186, 7160, 4788, 1496, 1197, 1734, 3604, 1346, 1197, 1270, 1242, 3330, 1167, 1227, 24053, 121, 27643, 7809, 1430, 23291, 2072, 1197, 2958, 1289, 8586, 8228, 1227, 3343, 3623, 5068, 106, 106, 17696, 2252, 488, 106, 106, 2606, 24678, 7457, 1913, 11080, 244, 3672, 1158, 1106, 27401, 4094, 1787, 2241, 7823, 1125, 1158, 4808, 1227, 11824, 22994, 14305, 13366, 15639, 18509, 1571, 24884, 3817, 1207, 25662, 3126, 7085, 1440, 1309, 1170, 11824, 5328, 3618, 13010, 2357, 1207, 6562, 1109, 2007, 3058, 1129, 1227, 2680, 1188, 21068, 1167, 2004, 7407, 2690, 1606, 14915, 1125, 6406, 1524, 1175, 1362, 1270, 1273, 1114, 1277, 196, 1576, 106, 106, 2606, 24678, 16823, 1256, 1158, 3453, 2768, 1313, 1318, 8119, 5263, 8012, 2482, 1671, 1445, 182, 1361, 8329, 1128, 1782, 133, 1645, 18868, 1926, 1202, 20997, 1161, 14835, 11318, 1171, 2358, 1183, 1346, 1125, 7422, 10935, 28807, 1175, 124, 131, 132, 131, 1576, 3762, 1594, 13970, 29920, 1410, 1293, 1475, 190, 1161, 2482, 4524, 1175, 124, 132, 125, 130, 1496, 6767, 6388, 3187, 25287, 2125, 17321, 1158, 3451, 16341, 1366, 1125, 1440, 6706, 1188, 1318, 3451, 9636, 27379, 1227, 17578, 1298, 1125, 1158, 13197, 23467, 1301, 1335, 2433, 1440, 1357, 10262, 1606, 17148, 1167, 8374, 3133, 1606, 11376, 6406, 3133, 1362, 1408, 7407, 1606, 1166, 1519, 244, 4821, 14782, 12880, 18331, 3365, 7457, 1913, 11080, 244, 1215, 1207, 6562, 1109, 2007, 27925, 1701, 17796, 1571, 9864, 1357, 9900, 1343, 1188, 13087, 1170, 8052, 1125, 4014, 1809, 4034, 1109, 11643, 1317, 1939, 1768, 1299, 18732, 9918, 1313, 1207, 16978, 17796, 1125, 1158, 3837, 1125, 2482, 4524, 2757, 1207, 4092, 488, 124, 131, 131, 123, 121, 106, 106, 1686, 16412, 19490, 1170, 6706, 1606, 1270, 1273, 1114, 1277, 196, 1524, 1362, 2207, 172, 1335, 2433, 26639, 1299, 5162, 1186, 1270, 1109, 5596, 10262, 1606, 1158, 23729, 1197, 1522, 1889, 1304, 7180, 1541, 4821, 1778, 8675, 1313, 1170, 7808, 1936, 3725, 1548, 23585, 1186, 15290, 2154, 1175, 124, 128, 132, 123, 1496, 6503, 1325, 4849, 1510, 2690, 1188, 1189, 1115, 1231, 1317, 15327, 488, 130, 128, 1257, 488, 106, 106, 140, 7662, 1207, 2658, 6184, 1346, 9689, 1227, 3755, 1313, 1594, 4061, 16341, 1132, 3031, 18596, 1277, 1125, 1158, 7577, 28106, 12970, 3767, 3285, 1125, 1594, 1279, 1142, 1571, 24884, 14305, 1475, 1787, 1507, 172, 2086, 1189, 1139, 3193, 1125, 3276, 1475, 175, 28610, 1110, 5617, 1186, 488, 124, 132, 123, 126, 3365, 3495, 1370, 1571, 9864, 1189, 6600, 13348, 1270, 1273, 1114, 1277, 196, 18327, 1313, 1207, 16978, 1270, 1109, 5596, 1723, 1309, 1207, 11349, 17796, 1288, 26101, 2457, 12946, 1548, 6706, 2207, 172, 1335, 180, 4763, 1440, 5209, 1313, 1170, 13959, 18860, 15899, 17796, 120, 23715, 1188, 1158, 2768, 1856, 1318, 23729, 1304, 1129, 1154, 3023, 2442, 1309, 1270, 1273, 1114, 1277, 196, 1313, 1594, 4061, 16341, 3850, 106, 106, 20363, 4415, 4061, 1110, 9601, 1318, 21238, 1313, 4345, 16978, 17796, 1313, 1207, 3293, 7290, 3157, 25715, 1357, 7996, 2457, 1300, 2770, 2467, 1153, 1606, 14915, 1304, 1129, 1154, 3023, 1524, 1256, 21068, 1170, 1270, 1273, 1114, 1277, 2305, 106, 106, 22507, 1158, 3908, 13565, 488, 106, 6880, 1515, 1197, 19662, 1207, 1408, 31797, 9427, 1473, 1215, 7422, 1922, 1903, 1216, 1510, 1167, 1594, 27333, 9372, 29279, 1256, 1170, 6009, 1350, 1347, 179, 13037, 11037, 2368, 1109, 2228, 1126, 17574, 1130, 21409, 1173, 1277, 1762, 1186, 9760, 1272, 1188, 1816, 13790, 4236, 1109, 26178, 2487, 1170, 1367, 6897, 1130, 10577, 3031, 8105, 3897, 1265, 121, 106, 106, 2029, 1197, 3694, 1227, 3274, 5286, 1161, 1110, 17639, 4880, 1630, 1132, 6228, 3193, 116, 23332, 1300, 26903, 1198, 2085, 1146, 1406, 2368, 1109, 2228, 1126, 1539, 1273, 1173, 1277, 196, 108, 106, 106, 20634, 1167, 10250, 189, 2027, 106, 106, 8036, 2072, 106, 106, 10026, 1191, 5870, 1104, 488, 106, 30407, 28106, 1439, 106, 30407, 6169, 4587, 4964, 106, 1671, 1569, 1120, 1383, 172, 106, 106, 28870, 5825, 488, 106, 1939, 106, 106, 142, 19142, 28106, 1439, 106, 142, 19142, 9419, 3589, 20368, 2794, 114, 32001, 488, 106, 32000, 20036, 106, 2606, 1270, 1273, 1114, 1277, 196, 7216, 17796, 1257, 488, 2040, 12891, 1692, 1606, 14915, 1125, 26256, 15198, 1299, 1189, 24678, 17796, 13644, 1125, 5871, 1314, 3615, 1542, 1129, 1125, 8613, 23586, 1138, 283, 3299, 119, 1163, 177, 4353, 2050, 193, 4314, 1362, 5873, 174, 1496, 1116, 5563, 7581, 1469, 1197, 18708, 7706, 1309, 1197, 22287, 1623, 1125, 10881, 1146, 7658, 1227, 1270, 12781, 1227, 1116, 1819, 1107, 180, 1167, 15923, 1188, 1318, 20850, 3391, 2532, 1214, 1188, 13680, 1176, 3847, 1768, 1299, 7492, 18327, 1469, 1227, 2811, 5520, 1723, 1915, 2072, 4110, 1158, 4438, 2335, 1270, 1246, 1520, 1109, 1469, 1197, 1139, 1118, 3023, 1116, 21501, 1186, 1360, 1123, 7471, 106, 106, 22507, 1170, 2854, 488, 106, 2606, 1270, 1273, 1114, 1277, 196, 1299, 1188, 21839, 1189, 14689, 1270, 1109, 5596, 1207, 29638, 17796, 1282, 17594, 1895, 1715, 244, 1469, 5924, 1186, 2368, 6147, 1199, 1313, 1125, 5087, 23496, 1227, 15153, 7155, 1227, 29033, 1188, 1158, 2320, 1197, 1139, 1118, 19055, 3557, 1189, 1197, 23034, 4786, 10654, 1309, 2260, 6471, 1207, 3795, 23354, 16419, 190, 1125, 1643, 5294, 1145, 4986, 5740, 1357, 8135, 3035, 1105, 7228, 2959, 11497, 1303, 1469, 1207, 8329, 1517, 121, 6053, 2445, 12749, 1189, 14689, 1125, 1158, 9189, 9419, 3589, 27610, 8012, 1114, 4384, 2308, 1119, 1217, 14662, 1167, 1408, 16293, 184, 2121, 9419, 3589, 20368, 2794, 121, 1808, 8184, 1554, 1186, 2004, 2445, 1964, 5865, 3451, 121, 1653, 16629, 1527, 9016, 1197, 4322, 23654, 19608, 1415, 1125, 11597, 1141, 4419, 2508, 1234, 1606, 19608, 3023, 1125, 6141, 1524, 488, 1186, 17796, 1167, 1606, 19608, 3023, 1125, 13341, 1524, 1111, 1896, 172, 29026, 1106, 15324, 1186, 7160, 4788, 1496, 1197, 1734, 3604, 1346, 1197, 1270, 1242, 3330, 1167, 1227, 24053, 121, 27643, 7809, 1430, 23291, 2072, 1197, 2958, 1289, 8586, 8228, 1227, 3343, 3623, 3266, 106, 106, 17696, 2252, 488, 106, 106, 2606, 24678, 7457, 1913, 11080, 244, 3672, 1158, 1106, 27401, 4094, 1787, 2241, 7823, 1125, 1158, 4808, 1227, 11824, 22994, 14305, 13366, 15639, 18509, 1571, 24884, 3817, 1207, 25662, 3126, 7085, 1440, 1309, 1170, 11824, 5328, 3618, 13010, 2357, 1207, 6562, 1109, 2007, 3058, 1129, 1227, 2680, 1188, 21068, 1167, 2004, 7407, 2690, 1606, 14915, 1125, 6406, 1524, 1175, 1362, 1270, 1273, 1114, 1277, 196, 1576, 106, 106, 2606, 24678, 16823, 1256, 1158, 3453, 2768, 1313, 1318, 8119, 5263, 8012, 2482, 4524, 1361, 8329, 1128, 1782, 133, 1645, 18868, 1926, 1202, 20997, 1161, 14835, 11318, 1171, 2358, 1183, 1346, 1125, 7422, 10935, 28807, 1175, 124, 131, 132, 131, 1576, 3762, 1594, 13970, 29920, 1410, 1293, 1475, 190, 1161, 2482, 4524, 1175, 124, 132, 125, 130, 1496, 6767, 6388, 3187, 25287, 2125, 17321, 1158, 3451, 16341, 1366, 1125, 1440, 6706, 1188, 1318, 3451, 9636, 27379, 1227, 17578, 1298, 1125, 1158, 13197, 23467, 1301, 1335, 2433, 1440, 1357, 10262, 1606, 17148, 1167, 8374, 3133, 1606, 11376, 6406, 3133, 1362, 1408, 7407, 1606, 1166, 1519, 244, 4821, 14782, 12880, 18331, 3365, 7457, 1913, 11080, 244, 1215, 1207, 6562, 1109, 2007, 27925, 1701, 17796, 1571, 9864, 1357, 7606, 2457, 1188, 13087, 1170, 8052, 1125, 4014, 1809, 4034, 1109, 11643, 1317, 1939, 1768, 1299, 18732, 9918, 1313, 1207, 16978, 17796, 1125, 1158, 3837, 1125, 2482, 4524, 2757, 1207, 4092, 488, 124, 131, 131, 123, 121, 106, 106, 1686, 16412, 19490, 1170, 6706, 1606, 1270, 1273, 1114, 1277, 196, 1524, 1362, 2207, 172, 1335, 2433, 26639, 1299, 5162, 1186, 1270, 1109, 5596, 10262, 1606, 1158, 23729, 1197, 1522, 1889, 1304, 7180, 1541, 4821, 1778, 8675, 1313, 1170, 7808, 1936, 3725, 1548, 23585, 1186, 15290, 2154, 1175, 124, 128, 132, 123, 1496, 6503, 1325, 4849, 1510, 2690, 1188, 1189, 1115, 1231, 1317, 15327, 488, 130, 128, 1257, 488, 106, 106, 140, 7662, 1207, 2658, 6184, 1346, 9689, 1227, 3755, 1313, 1594, 4061, 16341, 1132, 3031, 18596, 1277, 1125, 1158, 7577, 28106, 12970, 3767, 3285, 1125, 1594, 1279, 1142, 1571, 24884, 14305, 1475, 1787, 1507, 172, 2086, 1189, 1139, 3193, 1125, 3276, 1475, 175, 28610, 1110, 5617, 1186, 488, 124, 132, 123, 126, 3365, 3495, 1370, 1571, 9864, 1189, 6600, 13348, 1270, 1273, 1114, 1277, 196, 18327, 1313, 1207, 16978, 1270, 1109, 5596, 1723, 1309, 1207, 11349, 17796, 1288, 26101, 2457, 12946, 1548, 6706, 2207, 172, 1335, 180, 4763, 1281, 5209, 1313, 1170, 13959, 18860, 15899, 17796, 120, 23715, 1188, 1158, 2768, 1856, 1318, 23729, 1304, 1129, 1154, 3023, 2442, 1309, 1270, 1273, 1114, 1277, 196, 1313, 1594, 4061, 16341, 3850, 106, 106, 20363, 4415, 4061, 1110, 9601, 1318, 21238, 1313, 4345, 16978, 17796, 1313, 1207, 3293, 7290, 3157, 25715, 1357, 7996, 2457, 1300, 2770, 2467, 1153, 1606, 14915, 1304, 1129, 1154, 3023, 1524, 1256, 21068, 1170, 1270, 1273, 1114, 1277, 2305, 106, 106, 22507, 1158, 3908, 13565, 488, 106, 6880, 1515, 1197, 19662, 1207, 1408, 31797, 9427, 1473, 1215, 7422, 1922, 1903, 1216, 1510, 1167, 1594, 27333, 9372, 29279, 1256, 1170, 6009, 1350, 1347, 179, 13037, 11037, 2368, 1109, 2228, 1126, 17574, 1130, 21409, 1173, 1277, 1762, 1186, 22107, 1188, 1816, 13790, 4236, 1109, 3693, 2487, 1170, 1367, 6897, 1130, 10577, 3031, 8105, 3897, 1265, 121, 106, 106, 2029, 1197, 8470, 1227, 3274, 5286, 1161, 1110, 17639, 4880, 1630, 1132, 6228, 3193, 116, 23332, 1300, 26903, 1198, 2085, 1146, 1406, 2368, 1109, 2228, 1126, 1539, 1273, 1173, 1277, 196, 108, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 30407, 28106, 1439, 106, 30407, 6169, 4587, 4964, 106, 1671, 1569, 1120, 1383, 172, 106, 106, 28870, 5825, 488, 106, 1939, 106, 106, 142, 19142, 28106, 1439, 106, 142, 19142, 9419, 3589, 20368, 2794, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1270, 1273, 1114, 1277, 196, 7216, 17796, 1257, 488, 2040, 12891, 1692, 1606, 14915, 1125, 26256, 15198, 1299, 1189, 24678, 17796, 13644, 1125, 5871, 1314, 3615, 1542, 1129, 1125, 8613, 23586, 1138, 283, 3299, 119, 1163, 177, 4353, 2050, 193, 4314, 1362, 5873, 174, 1496, 1116, 5563, 7581, 1469, 1197, 18708, 7706, 1309, 1197, 22287, 1623, 1125, 10881, 1146, 7658, 1227, 1270, 12781, 1227, 1116, 1819, 1107, 180, 1167, 15923, 1188, 1318, 20850, 3391, 2532, 1214, 1188, 13680, 1176, 3847, 1768, 1299, 7492, 18327, 1469, 1227, 2811, 5520, 1723, 1915, 2072, 4110, 1158, 4438, 2335, 1270, 1246, 1520, 1109, 1469, 1197, 1139, 1118, 3023, 1116, 21501, 1186, 1360, 1123, 7471, 106, 106, 22507, 1170, 2854, 488, 106, 2606, 1270, 1273, 1114, 1277, 196, 1299, 1188, 21839, 1189, 14689, 1270, 1109, 5596, 1207, 29638, 17796, 1282, 17594, 1895, 1715, 244, 1469, 5924, 1186, 2368, 6147, 1199, 1313, 1125, 5087, 23496, 1227, 15153, 7155, 1227, 29033, 1188, 1158, 2320, 1197, 1139, 1118, 19055, 3557, 1189, 1197, 23034, 4786, 10654, 1309, 2260, 6471, 1207, 3795, 23354, 16419, 190, 1125, 1643, 5294, 1145, 4986, 5740, 1357, 8135, 3035, 1105, 7228, 2959, 11497, 1303, 1469, 1207, 8329, 1517, 121, 6053, 2445, 12749, 1189, 14689, 1125, 1158, 9189, 9419, 3589, 27610, 8012, 1114, 4384, 2308, 1119, 1217, 14662, 1167, 1408, 16293, 184, 2121, 9419, 3589, 20368, 2794, 121, 1808, 8184, 1554, 1186, 2004, 2445, 1964, 5865, 3451, 121, 1653, 16629, 1527, 9016, 1197, 4322, 23654, 19608, 1415, 1125, 11597, 1141, 4419, 2508, 1234, 1606, 19608, 3023, 1125, 6141, 1524, 488, 1186, 17796, 1167, 1606, 19608, 3023, 1125, 13341, 1524, 1111, 1896, 172, 29026, 1106, 15324, 1186, 7160, 4788, 1496, 1197, 1734, 3604, 1346, 1197, 1270, 1242, 3330, 1167, 1227, 24053, 121, 27643, 7809, 1430, 23291, 2072, 1197, 2958, 1289, 8586, 8228, 1227, 3343, 3623, 3266, 106, 106, 17696, 2252, 488, 106, 106, 2606, 24678, 7457, 1913, 11080, 244, 3672, 1158, 1106, 27401, 4094, 1787, 2241, 7823, 1125, 1158, 4808, 1227, 11824, 22994, 14305, 13366, 15639, 18509, 1571, 24884, 3817, 1207, 25662, 3126, 7085, 1440, 1309, 1170, 11824, 5328, 3618, 13010, 2357, 1207, 6562, 1109, 2007, 3058, 1129, 1227, 2680, 1188, 21068, 1167, 2004, 7407, 2690, 1606, 14915, 1125, 6406, 1524, 1175, 1362, 1270, 1273, 1114, 1277, 196, 1576, 106, 106, 2606, 24678, 16823, 1256, 1158, 3453, 2768, 1313, 1318, 8119, 5263, 8012, 2482, 4524, 1361, 8329, 1128, 1782, 133, 1645, 18868, 1926, 1202, 20997, 1161, 14835, 11318, 1171, 2358, 1183, 1346, 1125, 7422, 10935, 28807, 1175, 124, 131, 132, 131, 1576, 3762, 1594, 13970, 29920, 1410, 1293, 1475, 190, 1161, 2482, 4524, 1175, 124, 132, 125, 130, 1496, 6767, 6388, 3187, 25287, 2125, 17321, 1158, 3451, 16341, 1366, 1125, 1440, 6706, 1188, 1318, 3451, 9636, 27379, 1227, 17578, 1298, 1125, 1158, 13197, 23467, 1301, 1335, 2433, 1440, 1357, 10262, 1606, 17148, 1167, 8374, 3133, 1606, 11376, 6406, 3133, 1362, 1408, 7407, 1606, 1166, 1519, 244, 4821, 14782, 12880, 18331, 3365, 7457, 1913, 11080, 244, 1215, 1207, 6562, 1109, 2007, 27925, 1701, 17796, 1571, 9864, 1357, 7606, 2457, 1188, 13087, 1170, 8052, 1125, 4014, 1809, 4034, 1109, 11643, 1317, 1939, 1768, 1299, 18732, 9918, 1313, 1207, 16978, 17796, 1125, 1158, 3837, 1125, 2482, 4524, 2757, 1207, 4092, 488, 124, 131, 131, 123, 121, 106, 106, 1686, 16412, 19490, 1170, 6706, 1606, 1270, 1273, 1114, 1277, 196, 1524, 1362, 2207, 172, 1335, 2433, 26639, 1299, 5162, 1186, 1270, 1109, 5596, 10262, 1606, 1158, 23729, 1197, 1522, 1889, 1304, 7180, 1541, 4821, 1778, 8675, 1313, 1170, 7808, 1936, 3725, 1548, 23585, 1186, 15290, 2154, 1175, 124, 128, 132, 123, 1496, 6503, 1325, 4849, 1510, 2690, 1188, 1189, 1115, 1231, 1317, 15327, 488, 130, 128, 1257, 488, 106, 106, 140, 7662, 1207, 2658, 6184, 1346, 9689, 1227, 3755, 1313, 1594, 4061, 16341, 1132, 3031, 18596, 1277, 1125, 1158, 7577, 28106, 12970, 3767, 3285, 1125, 1594, 1279, 1142, 1571, 24884, 14305, 1475, 1787, 1507, 172, 2086, 1189, 1139, 3193, 1125, 3276, 1475, 175, 28610, 1110, 5617, 1186, 488, 124, 132, 123, 126, 3365, 3495, 1370, 1571, 9864, 1189, 6600, 13348, 1270, 1273, 1114, 1277, 196, 18327, 1313, 1207, 16978, 1270, 1109, 5596, 1723, 1309, 1207, 11349, 17796, 1288, 26101, 2457, 12946, 1548, 6706, 2207, 172, 1335, 180, 4763, 1281, 5209, 1313, 1170, 13959, 18860, 15899, 17796, 120, 23715, 1188, 1158, 2768, 1856, 1318, 23729, 1304, 1129, 1154, 3023, 2442, 1309, 1270, 1273, 1114, 1277, 196, 1313, 1594, 4061, 16341, 3850, 106, 106, 20363, 4415, 4061, 1110, 9601, 1318, 21238, 1313, 4345, 16978, 17796, 1313, 1207, 3293, 7290, 3157, 25715, 1357, 7996, 2457, 1300, 2770, 2467, 1153, 1606, 14915, 1304, 1129, 1154, 3023, 1524, 1256, 21068, 1170, 1270, 1273, 1114, 1277, 2305, 106, 106, 22507, 1158, 3908, 13565, 488, 106, 6880, 1515, 1197, 19662, 1207, 1408, 31797, 9427, 1473, 1215, 7422, 1922, 1903, 1216, 1510, 1167, 1594, 27333, 9372, 29279, 1256, 1170, 6009, 1350, 1347, 179, 13037, 11037, 2368, 1109, 2228, 1126, 17574, 1130, 21409, 1173, 1277, 1762, 1186, 22107, 1188, 1816, 13790, 4236, 1109, 3693, 2487, 1170, 1367, 6897, 1130, 10577, 3031, 8105, 3897, 1265, 121, 106, 106, 2029, 1197, 8470, 1227, 3274, 5286, 1161, 1110, 17639, 4880, 1630, 1132, 6228, 3193, 116, 23332, 1300, 26903, 1198, 2085, 1146, 1406, 2368, 1109, 2228, 1126, 1539, 1273, 1173, 1277, 196, 108, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 30407, 28106, 1439, 106, 30407, 6169, 4587, 4964, 106, 1671, 1569, 1120, 1383, 172, 106, 106, 28870, 5825, 488, 106, 1939, 106, 106, 142, 19142, 28106, 1439, 106, 142, 19142, 9419, 3589, 20368, 2794, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2029, 1177, 8953, 8403, 1299, 1189, 21143, 22256, 1517, 8922, 1215, 22266, 7358, 1333, 1119, 6664, 19888, 1186, 29270, 1567, 18480, 9747, 1482, 7213, 120, 2665, 1327, 4326, 14163, 1354, 4603, 1123, 2961, 121, 26207, 244, 1158, 3453, 2768, 1313, 1170, 4154, 1197, 1248, 25436, 1227, 9452, 22256, 1517, 1186, 488, 125, 123, 123, 131, 119, 1170, 3418, 5016, 24697, 1186, 18392, 1186, 488, 125, 123, 123, 132, 119, 1113, 1670, 1299, 31125, 1300, 1207, 1238, 3436, 1125, 23275, 9941, 106, 106, 158, 31751, 488, 106, 2029, 27926, 8403, 2367, 1186, 9537, 1170, 10163, 5519, 184, 4076, 1925, 14994, 12870, 3556, 24724, 2444, 176, 1357, 4393, 1129, 11041, 1571, 17941, 5068, 1653, 1962, 9055, 2988, 1125, 1816, 29618, 17419, 1170, 3418, 1281, 9955, 1512, 1300, 13400, 1197, 1152, 16685, 3945, 4111, 1304, 6290, 9055, 1701, 1179, 7607, 5596, 1197, 9499, 1234, 2079, 1282, 1121, 1571, 1279, 3524, 1256, 7970, 9963, 1313, 1197, 1962, 3972, 1125, 23689, 8403, 1346, 3748, 10847, 1188, 3089, 1440, 3365, 4933, 1227, 2720, 1571, 9864, 1408, 1125, 488, 124, 128, 123, 2165, 2750, 1170, 4319, 1125, 1158, 3828, 8324, 7756, 12870, 3556, 24724, 2444, 2596, 3506, 2983, 2288, 244, 1215, 1158, 7585, 1125, 14163, 1354, 4603, 1123, 2961, 119, 1814, 27926, 8403, 1110, 1913, 30720, 1186, 10942, 19932, 14691, 2944, 1125, 2076, 1309, 1313, 1207, 23690, 1227, 6174, 1205, 3100, 1227, 16202, 194, 7965, 1125, 23712, 1669, 1109, 5596, 1227, 10037, 1157, 2433, 1227, 31270, 1137, 2064, 1227, 4304, 24912, 1125, 1158, 7892, 1214, 1167, 1125, 2482, 4524, 121, 106, 106, 145, 3352, 4403, 488, 106, 159, 6254, 2720, 1257, 1814, 13633, 8403, 106, 153, 1124, 2287, 1257, 14163, 1354, 4603, 1123, 2961, 106, 8044, 4521, 1257, 22266, 7358, 1333, 7821, 106, 4968, 1538, 5844, 1257, 15521, 5614, 173, 1261, 106, 157, 4990, 1512, 1257, 15521, 5614, 173, 1261, 1167, 19038, 1204, 1493, 1154, 8445, 106, 152, 1258, 1272, 1257, 17703, 3276, 1442, 1379, 106, 5449, 1190, 4134, 1257, 9228, 14754, 1374, 5445, 1122, 2198, 106, 152, 1153, 1460, 1257, 14163, 1354, 4603, 1123, 2961, 106, 2101, 3409, 1257, 2315, 1539, 186, 1134, 16156, 15521, 5614, 173, 1261, 1167, 3699, 6123, 106, 158, 1642, 6235, 1125, 4052, 1257, 3116, 245, 5778, 108, 15495, 1420, 106, 155, 1775, 14994, 1257, 6372, 106, 151, 1475, 1277, 17482, 1257, 15173, 9400, 106, 9183, 1257, 7099, 106, 18843, 1112, 1257, 12483, 21143, 106, 151, 2636, 1125, 5505, 1272, 1257, 9864, 106, 143, 12104, 1257, 488, 132, 125, 4826, 106, 5347, 1125, 8969, 1257, 106, 120, 1571, 1248, 25436, 1227, 9452, 22256, 1517, 106, 120, 1317, 26677, 3032, 24321, 1354, 106, 120, 1188, 23275, 1222, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 3562, 16326, 1175, 4137, 24393, 106, 106, 28870, 5825, 488, 106, 106, 145, 3352, 1227, 21143, 1300, 3116, 245, 5778, 108, 15495, 1420, 106, 106, 145, 6417, 1179, 7607, 1517, 9665, 1186, 488, 125, 123, 124, 127, 106, 145, 6417, 21143, 1179, 7607, 1517, 106, 145, 6417, 21143, 1300, 27272, 7756, 106, 145, 5164, 184, 1281, 8866, 11953, 1571, 9864, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 22448, 1452, 3589, 13772, 4076, 1925, 114, 32001, 488, 106, 32000, 20036, 106, 2029, 13633, 8403, 1299, 1189, 21143, 22256, 1517, 8922, 1215, 22266, 7358, 1333, 1119, 6664, 19888, 1186, 29270, 1567, 18480, 9747, 1482, 7213, 120, 2665, 1327, 4326, 14163, 1354, 4603, 1123, 2961, 121, 26207, 244, 1158, 3453, 2768, 1313, 1170, 4154, 1197, 1248, 25436, 1227, 9452, 22256, 1517, 1186, 488, 125, 123, 123, 131, 119, 1170, 3418, 5016, 24697, 1186, 18392, 1186, 488, 125, 123, 123, 132, 119, 2648, 1299, 31125, 1300, 1207, 1238, 3436, 1125, 23275, 9941, 106, 106, 158, 31751, 488, 106, 2029, 13633, 8403, 2367, 1186, 9537, 1170, 10163, 5519, 184, 4076, 1925, 14994, 12870, 3556, 24724, 2444, 176, 1357, 4393, 1129, 11041, 1571, 17941, 5068, 1653, 1962, 9055, 2988, 1125, 1816, 29618, 17419, 1170, 3418, 1281, 9955, 1512, 1300, 13400, 1197, 1152, 16685, 3945, 4111, 1304, 6290, 9055, 1701, 22256, 5596, 1197, 9499, 1473, 2079, 1282, 1121, 1571, 1279, 3524, 1256, 7970, 9963, 1313, 1197, 1962, 3972, 1125, 23689, 8403, 1346, 3748, 10847, 1188, 3089, 1440, 3365, 4933, 1227, 2720, 1571, 9864, 1408, 1125, 488, 124, 128, 123, 2165, 2750, 1170, 4319, 1125, 1158, 3828, 8324, 7756, 12870, 3556, 24724, 2444, 2596, 3506, 2983, 2288, 244, 1215, 1158, 7585, 1125, 14163, 1354, 4603, 1123, 2961, 119, 1814, 13633, 8403, 1110, 1913, 30720, 1186, 10942, 19932, 14691, 2944, 1125, 2076, 1309, 1313, 1207, 23690, 1227, 6174, 1205, 3100, 1227, 16202, 194, 7965, 1125, 23712, 1669, 1109, 5596, 1227, 10037, 1157, 2433, 1227, 31270, 1137, 2064, 1227, 4304, 24912, 1125, 1158, 7892, 1214, 1167, 1125, 2482, 4524, 121, 106, 106, 145, 3352, 4403, 488, 106, 159, 6254, 2720, 1257, 1814, 13633, 8403, 106, 153, 1124, 2287, 1257, 14163, 1354, 4603, 1123, 2961, 106, 8044, 4521, 1257, 22266, 7358, 1333, 7821, 106, 4968, 1538, 5844, 1257, 15521, 5614, 173, 1261, 106, 157, 4990, 1512, 1257, 15521, 5614, 173, 1261, 1167, 19038, 1204, 1493, 1154, 8445, 106, 152, 1258, 1272, 1257, 17703, 3276, 1442, 1379, 106, 5449, 1190, 4134, 1257, 9228, 14754, 1374, 5445, 1122, 2198, 106, 152, 1153, 1460, 1257, 14163, 1354, 4603, 1123, 2961, 106, 2101, 3409, 1257, 2315, 1539, 186, 1134, 16156, 15521, 5614, 173, 1261, 1167, 3699, 6123, 106, 158, 1642, 6235, 1125, 4052, 1257, 3116, 245, 5778, 108, 15495, 1420, 106, 155, 1775, 14994, 1257, 6372, 106, 151, 1475, 1277, 17482, 1257, 15173, 9400, 106, 9183, 1257, 7099, 106, 18843, 1112, 1257, 12483, 21143, 106, 151, 2636, 1125, 5505, 1272, 1257, 9864, 106, 143, 12104, 1257, 488, 132, 125, 4826, 106, 5347, 1125, 8969, 1257, 106, 120, 1571, 1248, 25436, 1227, 9452, 22256, 1517, 106, 120, 1317, 26677, 3032, 24321, 1354, 106, 120, 1188, 23275, 1222, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 3562, 16326, 1175, 4137, 24393, 106, 106, 28870, 5825, 488, 106, 106, 145, 3352, 1227, 21143, 1300, 3116, 245, 5778, 108, 15495, 1420, 106, 106, 145, 6417, 22256, 1517, 9665, 1186, 488, 125, 123, 124, 127, 106, 145, 6417, 21143, 22256, 1517, 106, 145, 6417, 21143, 1300, 27272, 7756, 106, 145, 6417, 1281, 8866, 11953, 1571, 9864, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 22448, 1452, 3589, 13772, 4076, 1925, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2029, 13633, 8403, 1299, 1189, 21143, 22256, 1517, 8922, 1215, 22266, 7358, 1333, 1119, 6664, 19888, 1186, 29270, 1567, 18480, 9747, 1482, 7213, 120, 2665, 1327, 4326, 14163, 1354, 4603, 1123, 2961, 121, 26207, 244, 1158, 3453, 2768, 1313, 1170, 4154, 1197, 1248, 25436, 1227, 9452, 22256, 1517, 1186, 488, 125, 123, 123, 131, 119, 1170, 3418, 5016, 24697, 1186, 18392, 1186, 488, 125, 123, 123, 132, 119, 2648, 1299, 31125, 1300, 1207, 1238, 3436, 1125, 23275, 9941, 106, 106, 158, 31751, 488, 106, 2029, 13633, 8403, 2367, 1186, 9537, 1170, 10163, 5519, 184, 4076, 1925, 14994, 12870, 3556, 24724, 2444, 176, 1357, 4393, 1129, 11041, 1571, 17941, 5068, 1653, 1962, 9055, 2988, 1125, 1816, 29618, 17419, 1170, 3418, 1281, 9955, 1512, 1300, 13400, 1197, 1152, 16685, 3945, 4111, 1304, 6290, 9055, 1701, 22256, 5596, 1197, 9499, 1473, 2079, 1282, 1121, 1571, 1279, 3524, 1256, 7970, 9963, 1313, 1197, 1962, 3972, 1125, 23689, 8403, 1346, 3748, 10847, 1188, 3089, 1440, 3365, 4933, 1227, 2720, 1571, 9864, 1408, 1125, 488, 124, 128, 123, 2165, 2750, 1170, 4319, 1125, 1158, 3828, 8324, 7756, 12870, 3556, 24724, 2444, 2596, 3506, 2983, 2288, 244, 1215, 1158, 7585, 1125, 14163, 1354, 4603, 1123, 2961, 119, 1814, 13633, 8403, 1110, 1913, 30720, 1186, 10942, 19932, 14691, 2944, 1125, 2076, 1309, 1313, 1207, 23690, 1227, 6174, 1205, 3100, 1227, 16202, 194, 7965, 1125, 23712, 1669, 1109, 5596, 1227, 10037, 1157, 2433, 1227, 31270, 1137, 2064, 1227, 4304, 24912, 1125, 1158, 7892, 1214, 1167, 1125, 2482, 4524, 121, 106, 106, 145, 3352, 4403, 488, 106, 159, 6254, 2720, 1257, 1814, 13633, 8403, 106, 153, 1124, 2287, 1257, 14163, 1354, 4603, 1123, 2961, 106, 8044, 4521, 1257, 22266, 7358, 1333, 7821, 106, 4968, 1538, 5844, 1257, 15521, 5614, 173, 1261, 106, 157, 4990, 1512, 1257, 15521, 5614, 173, 1261, 1167, 19038, 1204, 1493, 1154, 8445, 106, 152, 1258, 1272, 1257, 17703, 3276, 1442, 1379, 106, 5449, 1190, 4134, 1257, 9228, 14754, 1374, 5445, 1122, 2198, 106, 152, 1153, 1460, 1257, 14163, 1354, 4603, 1123, 2961, 106, 2101, 3409, 1257, 2315, 1539, 186, 1134, 16156, 15521, 5614, 173, 1261, 1167, 3699, 6123, 106, 158, 1642, 6235, 1125, 4052, 1257, 3116, 245, 5778, 108, 15495, 1420, 106, 155, 1775, 14994, 1257, 6372, 106, 151, 1475, 1277, 17482, 1257, 15173, 9400, 106, 9183, 1257, 7099, 106, 18843, 1112, 1257, 12483, 21143, 106, 151, 2636, 1125, 5505, 1272, 1257, 9864, 106, 143, 12104, 1257, 488, 132, 125, 4826, 106, 5347, 1125, 8969, 1257, 106, 120, 1571, 1248, 25436, 1227, 9452, 22256, 1517, 106, 120, 1317, 26677, 3032, 24321, 1354, 106, 120, 1188, 23275, 1222, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 3562, 16326, 1175, 4137, 24393, 106, 106, 28870, 5825, 488, 106, 106, 145, 3352, 1227, 21143, 1300, 3116, 245, 5778, 108, 15495, 1420, 106, 106, 145, 6417, 22256, 1517, 9665, 1186, 488, 125, 123, 124, 127, 106, 145, 6417, 21143, 22256, 1517, 106, 145, 6417, 21143, 1300, 27272, 7756, 106, 145, 6417, 1281, 8866, 11953, 1571, 9864, 106, 143, 5787, 2284, 172, 22256, 7269, 106, 22448, 1452, 3589, 13772, 4076, 1925, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 9095, 181, 8400, 1298, 199, 159, 7392, 192, 199, 1198, 13256, 1605, 160, 3253, 1299, 1189, 13010, 172, 1125, 19769, 1507, 180, 6522, 1141, 2554, 1810, 17656, 7146, 1313, 1170, 1748, 1146, 10175, 2104, 1186, 488, 124, 132, 132, 126, 1167, 9053, 1215, 2460, 289, 176, 1943, 172, 1186, 2069, 20857, 8691, 4413, 1643, 3451, 5964, 1299, 9053, 1125, 4418, 1147, 7986, 4326, 11779, 1250, 20857, 1300, 5999, 116, 1215, 1222, 14108, 29028, 1186, 488, 124, 132, 132, 128, 119, 1167, 1186, 22086, 1126, 1125, 2069, 20857, 1215, 3122, 1119, 13010, 172, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 157, 1234, 11125, 1125, 13400, 106, 159, 7392, 192, 1257, 10984, 5598, 1299, 3713, 23279, 10440, 1139, 1109, 181, 2036, 1653, 17911, 1469, 1189, 5047, 1125, 3755, 1285, 1527, 1299, 12951, 1856, 1189, 1306, 4520, 1810, 24641, 1189, 2958, 1442, 1379, 7184, 4974, 1808, 26873, 1281, 8866, 19561, 1313, 1189, 14506, 16645, 5258, 119, 28803, 1199, 1317, 14506, 5373, 1833, 1366, 1723, 8363, 1199, 1197, 6766, 12905, 27984, 1198, 7392, 192, 21835, 1561, 2492, 1856, 1270, 5094, 1125, 8288, 1457, 106, 3681, 1500, 3365, 7424, 1304, 1128, 1935, 1403, 1318, 1125, 1909, 1223, 3939, 1527, 3664, 1439, 1158, 5038, 15493, 1227, 3293, 1167, 1186, 16360, 13615, 17847, 15293, 1468, 1160, 1816, 6128, 1281, 3924, 172, 21246, 2806, 1167, 1198, 7392, 192, 13416, 1154, 2435, 10243, 1710, 31208, 106, 106, 15487, 1369, 106, 6880, 5163, 1110, 11218, 15112, 1816, 11350, 29995, 1856, 1158, 1408, 21826, 4094, 1125, 1561, 9245, 121, 5593, 14867, 1207, 2678, 2942, 1508, 12462, 4203, 3649, 1346, 1440, 1357, 1299, 10423, 1256, 1189, 13010, 2036, 3350, 5350, 3557, 1158, 3453, 2768, 1309, 1170, 10977, 7667, 244, 1215, 11189, 5909, 1318, 2320, 2072, 10604, 1313, 1189, 13010, 2036, 2576, 5163, 1251, 1844, 1408, 8105, 4689, 1256, 2887, 5626, 1170, 9221, 1197, 14115, 2391, 1197, 26556, 26738, 121, 106, 106, 224, 2527, 106, 224, 1974, 17482, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 123, 123, 5840, 1175, 124, 132, 132, 127, 116, 488, 106, 224, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 124, 123, 123, 5840, 1300, 488, 127, 10795, 1175, 124, 132, 132, 128, 119, 9891, 14585, 1303, 116, 106, 224, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 125, 127, 5840, 1175, 125, 123, 124, 129, 116, 1323, 16801, 3122, 1119, 13010, 172, 106, 106, 20634, 1167, 5474, 106, 106, 158, 2974, 13010, 172, 1204, 25465, 1197, 4092, 488, 124, 132, 132, 123, 1204, 25465, 9053, 1215, 2460, 289, 176, 1943, 172, 1204, 25465, 9053, 1215, 3122, 1119, 13010, 172, 1204, 25465, 26738, 4297, 32001, 488, 106, 32000, 20036, 106, 7410, 181, 8400, 1298, 199, 159, 7392, 192, 199, 1198, 13256, 1605, 160, 3253, 1299, 1189, 13010, 172, 1125, 19769, 1507, 180, 6522, 1141, 2554, 1810, 17656, 7146, 1313, 1170, 1748, 1146, 10175, 2104, 1186, 488, 124, 132, 132, 126, 1167, 9053, 1215, 2460, 289, 176, 1943, 172, 1186, 2069, 20857, 8691, 4413, 1643, 3451, 5964, 1299, 18078, 1125, 4418, 1147, 7986, 4326, 11779, 1250, 20857, 1300, 5999, 116, 1215, 1222, 14108, 29028, 1186, 488, 124, 132, 132, 128, 119, 1167, 1186, 22086, 1126, 1125, 2069, 20857, 1215, 3122, 1119, 13010, 172, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 157, 1234, 11125, 1125, 13400, 488, 106, 159, 7392, 192, 1257, 10984, 5598, 1299, 3713, 1408, 10440, 1139, 1109, 181, 2036, 1653, 17911, 1469, 1189, 5047, 1125, 3755, 1285, 1527, 1299, 12951, 1856, 1189, 1306, 4520, 1810, 24641, 1189, 2958, 1442, 1379, 7184, 4974, 1808, 26873, 1281, 8866, 19561, 1313, 1189, 14506, 16645, 5258, 119, 28803, 1199, 1317, 14506, 5373, 244, 1613, 1723, 8363, 1199, 1197, 6766, 12905, 27984, 1198, 7392, 192, 21835, 1561, 2492, 1856, 1270, 5094, 1125, 8288, 1457, 488, 106, 3681, 1500, 3365, 7424, 1304, 1128, 1935, 1403, 1318, 1125, 1909, 1223, 3939, 1527, 3664, 1439, 1158, 5038, 15493, 1227, 3293, 1167, 1186, 16360, 13615, 13678, 15293, 1468, 1160, 1816, 6128, 1281, 3924, 172, 21246, 2806, 1167, 1198, 7392, 192, 13416, 1154, 2435, 10243, 1710, 31208, 106, 106, 15487, 1369, 488, 106, 6880, 5163, 1110, 11218, 15112, 1816, 11350, 29995, 1856, 1158, 1408, 21826, 4094, 1125, 1561, 9245, 121, 5593, 14867, 1207, 2678, 2942, 1508, 12462, 4203, 4160, 1346, 1440, 1357, 1299, 10423, 1256, 1189, 13010, 2036, 3350, 5350, 3557, 1158, 3453, 2768, 1309, 1170, 10977, 7667, 244, 1215, 11189, 5909, 1318, 2320, 2072, 10604, 1313, 1189, 13010, 2036, 2576, 5163, 1251, 1844, 1408, 8105, 4689, 1256, 2887, 5626, 1170, 9221, 1197, 14115, 2391, 1197, 26556, 26738, 121, 106, 106, 224, 2527, 488, 106, 2605, 1974, 17482, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 123, 123, 5840, 1175, 124, 132, 132, 127, 116, 106, 2605, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 124, 123, 123, 5840, 1300, 488, 127, 10795, 1175, 124, 132, 132, 128, 119, 9891, 14585, 1303, 116, 106, 2605, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 125, 127, 5840, 1175, 125, 123, 124, 129, 116, 1323, 16801, 3122, 1119, 13010, 172, 106, 106, 20634, 1167, 5474, 488, 106, 106, 158, 2974, 13010, 172, 106, 152, 25465, 1197, 4092, 488, 124, 132, 132, 123, 106, 152, 25465, 9053, 1215, 2460, 289, 176, 1943, 172, 106, 152, 25465, 9053, 1215, 3122, 1119, 13010, 172, 106, 152, 25465, 26738, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 7410, 181, 8400, 1298, 199, 159, 7392, 192, 199, 1198, 13256, 1605, 160, 3253, 1299, 1189, 13010, 172, 1125, 19769, 1507, 180, 6522, 1141, 2554, 1810, 17656, 7146, 1313, 1170, 1748, 1146, 10175, 2104, 1186, 488, 124, 132, 132, 126, 1167, 9053, 1215, 2460, 289, 176, 1943, 172, 1186, 2069, 20857, 8691, 4413, 1643, 3451, 5964, 1299, 18078, 1125, 4418, 1147, 7986, 4326, 11779, 1250, 20857, 1300, 5999, 116, 1215, 1222, 14108, 29028, 1186, 488, 124, 132, 132, 128, 119, 1167, 1186, 22086, 1126, 1125, 2069, 20857, 1215, 3122, 1119, 13010, 172, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 157, 1234, 11125, 1125, 13400, 488, 106, 159, 7392, 192, 1257, 10984, 5598, 1299, 3713, 1408, 10440, 1139, 1109, 181, 2036, 1653, 17911, 1469, 1189, 5047, 1125, 3755, 1285, 1527, 1299, 12951, 1856, 1189, 1306, 4520, 1810, 24641, 1189, 2958, 1442, 1379, 7184, 4974, 1808, 26873, 1281, 8866, 19561, 1313, 1189, 14506, 16645, 5258, 119, 28803, 1199, 1317, 14506, 5373, 244, 1613, 1723, 8363, 1199, 1197, 6766, 12905, 27984, 1198, 7392, 192, 21835, 1561, 2492, 1856, 1270, 5094, 1125, 8288, 1457, 488, 106, 3681, 1500, 3365, 7424, 1304, 1128, 1935, 1403, 1318, 1125, 1909, 1223, 3939, 1527, 3664, 1439, 1158, 5038, 15493, 1227, 3293, 1167, 1186, 16360, 13615, 13678, 15293, 1468, 1160, 1816, 6128, 1281, 3924, 172, 21246, 2806, 1167, 1198, 7392, 192, 13416, 1154, 2435, 10243, 1710, 31208, 106, 106, 15487, 1369, 488, 106, 6880, 5163, 1110, 11218, 15112, 1816, 11350, 29995, 1856, 1158, 1408, 21826, 4094, 1125, 1561, 9245, 121, 5593, 14867, 1207, 2678, 2942, 1508, 12462, 4203, 4160, 1346, 1440, 1357, 1299, 10423, 1256, 1189, 13010, 2036, 3350, 5350, 3557, 1158, 3453, 2768, 1309, 1170, 10977, 7667, 244, 1215, 11189, 5909, 1318, 2320, 2072, 10604, 1313, 1189, 13010, 2036, 2576, 5163, 1251, 1844, 1408, 8105, 4689, 1256, 2887, 5626, 1170, 9221, 1197, 14115, 2391, 1197, 26556, 26738, 121, 106, 106, 224, 2527, 488, 106, 2605, 1974, 17482, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 123, 123, 5840, 1175, 124, 132, 132, 127, 116, 106, 2605, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 124, 123, 123, 5840, 1300, 488, 127, 10795, 1175, 124, 132, 132, 128, 119, 9891, 14585, 1303, 116, 106, 2605, 1974, 5964, 1257, 488, 125, 6622, 1104, 1125, 488, 125, 125, 127, 5840, 1175, 125, 123, 124, 129, 116, 1323, 16801, 3122, 1119, 13010, 172, 106, 106, 20634, 1167, 5474, 488, 106, 106, 158, 2974, 13010, 172, 106, 152, 25465, 1197, 4092, 488, 124, 132, 132, 123, 106, 152, 25465, 9053, 1215, 2460, 289, 176, 1943, 172, 106, 152, 25465, 9053, 1215, 3122, 1119, 13010, 172, 106, 152, 25465, 26738, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 147, 1379, 196, 9905, 1772, 2196, 5596, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 130, 132, 1188, 7265, 18156, 18993, 2588, 1125, 3261, 2163, 10914, 116, 2290, 1170, 1874, 1125, 22266, 1306, 5597, 185, 7422, 8870, 21073, 9905, 9228, 1167, 4541, 1170, 488, 124, 132, 1275, 1159, 1377, 189, 488, 124, 132, 128, 124, 1188, 17597, 6396, 16260, 1496, 1299, 1189, 19166, 1167, 8328, 16051, 10816, 121, 106, 106, 141, 11741, 106, 106, 4455, 6393, 1125, 16070, 196, 9905, 9228, 1508, 1170, 4610, 4473, 18117, 4054, 1268, 1908, 1108, 1306, 5597, 185, 9905, 9228, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 126, 116, 1167, 1125, 1594, 16722, 3985, 1120, 12439, 28108, 20154, 178, 1810, 14232, 9905, 1233, 1224, 1107, 1170, 488, 124, 127, 3141, 488, 124, 131, 128, 129, 121, 1814, 1125, 1909, 6804, 3130, 2805, 1299, 1170, 4610, 1125, 10041, 22266, 9905, 9228, 121, 106, 106, 161, 1105, 9228, 1299, 3851, 192, 1856, 19166, 1313, 5999, 8196, 6575, 488, 124, 132, 125, 124, 1167, 488, 124, 132, 125, 127, 121, 1768, 1844, 1909, 28407, 1313, 1158, 3247, 488, 126, 6713, 1112, 1319, 3187, 116, 1227, 3418, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 1523, 2290, 1158, 4595, 1125, 10290, 1350, 13133, 1132, 5108, 3762, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 26201, 1703, 1254, 1314, 1173, 17024, 7138, 1197, 6410, 192, 1462, 1496, 1527, 1844, 1318, 2167, 4567, 1465, 18443, 1186, 1111, 28615, 6325, 4537, 7155, 1170, 2423, 6315, 1227, 14018, 1374, 6700, 10574, 116, 1222, 2268, 22783, 1313, 10399, 1273, 1303, 1222, 250, 176, 1266, 1456, 1140, 23021, 1125, 1252, 1687, 197, 9313, 119, 1527, 2690, 29155, 1464, 2466, 1317, 9452, 121, 1653, 488, 124, 132, 126, 128, 119, 1527, 1844, 1318, 2797, 5715, 1465, 18443, 1313, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 1125, 28708, 1342, 1405, 174, 2057, 2305, 106, 106, 5164, 4933, 1189, 19166, 1125, 12103, 1188, 9672, 3672, 1125, 6344, 26059, 1867, 488, 124, 132, 125, 127, 1188, 488, 124, 132, 125, 132, 119, 1527, 1299, 8328, 16051, 6713, 1274, 11769, 9566, 1576, 1653, 488, 124, 132, 127, 127, 119, 9905, 9228, 1299, 10689, 1313, 1158, 1293, 3604, 1897, 6645, 1217, 1130, 1108, 4101, 2038, 1227, 21564, 1125, 12547, 5341, 1227, 11594, 1167, 1125, 1158, 12502, 1193, 2163, 1227, 1863, 1507, 121, 106, 106, 140, 2136, 1158, 22925, 1293, 1136, 1112, 27213, 1527, 1400, 19952, 1170, 14207, 1167, 19859, 1188, 17597, 1186, 488, 124, 132, 128, 124, 121, 106, 106, 161, 1214, 11069, 106, 2606, 488, 125, 125, 3141, 488, 124, 132, 124, 126, 119, 16070, 196, 9905, 9228, 16722, 1306, 1156, 26320, 1325, 2288, 1657, 1548, 11546, 1281, 20235, 1215, 1189, 25030, 121, 1768, 1281, 1557, 1214, 6349, 119, 1170, 488, 124, 124, 2738, 488, 124, 132, 125, 123, 119, 1469, 1293, 1494, 172, 1252, 2858, 119, 5252, 1170, 488, 126, 2798, 488, 124, 132, 123, 123, 119, 1318, 5921, 1227, 19782, 1125, 14493, 1378, 1252, 2858, 121, 106, 106, 145, 6417, 4134, 24084, 106, 106, 106, 124, 132, 125, 124, 1257, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 109, 11345, 1117, 488, 126, 1257, 11539, 1319, 3187, 116, 106, 488, 124, 132, 125, 124, 1257, 7484, 11295, 24753, 109, 1257, 12492, 1165, 1168, 6152, 6767, 197, 1307, 9905, 1165, 20063, 5523, 106, 488, 124, 132, 125, 125, 1257, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 1128, 4353, 18395, 1173, 17024, 7138, 1197, 6410, 192, 1462, 116, 1257, 1922, 25558, 1735, 15729, 24700, 2180, 175, 1348, 116, 106, 488, 124, 132, 125, 127, 1257, 1808, 1266, 1456, 1140, 23021, 6047, 1214, 1266, 1456, 1140, 3513, 2765, 1186, 488, 125, 5737, 1257, 1643, 1352, 8072, 1336, 1125, 1518, 1164, 1320, 179, 1796, 1167, 1643, 21069, 1125, 13159, 178, 177, 6299, 116, 1257, 1222, 2268, 22783, 106, 488, 124, 132, 126, 123, 1257, 11374, 2207, 194, 257, 16075, 1148, 1753, 1145, 1208, 1125, 13206, 1208, 4540, 1248, 1510, 1107, 1167, 13314, 15140, 1204, 2449, 1334, 106, 488, 124, 132, 126, 128, 1257, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 106, 106, 141, 13449, 1293, 1752, 1298, 2942, 11846, 4788, 1120, 2021, 1198, 1141, 12929, 1705, 1210, 4140, 14683, 12008, 12654, 1306, 239, 1153, 1659, 488, 124, 132, 123, 130, 119, 8471, 22439, 28366, 189, 178, 18509, 121, 106, 106, 28870, 2475, 106, 106, 149, 1462, 4189, 2732, 2266, 262, 1784, 119, 8397, 189, 2196, 5596, 16070, 196, 9905, 1523, 1147, 133, 1293, 1752, 5086, 162, 9264, 4297, 28519, 8954, 1170, 488, 130, 3141, 488, 125, 123, 125, 124, 1576, 32001, 488, 106, 32000, 20036, 106, 147, 1379, 196, 9905, 1772, 2196, 5596, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 130, 132, 1188, 1202, 2707, 18156, 1175, 12446, 2588, 1125, 3261, 2163, 10914, 116, 2290, 1170, 1874, 1125, 22266, 1306, 5597, 185, 7422, 8870, 21073, 9905, 9228, 1167, 4541, 1170, 488, 124, 132, 2584, 488, 124, 132, 128, 124, 1188, 17597, 6396, 16260, 1496, 1299, 1189, 19166, 1167, 8328, 16051, 10816, 121, 106, 106, 141, 11741, 488, 106, 106, 4455, 6393, 1125, 16070, 196, 9905, 9228, 1508, 1170, 4610, 4473, 18117, 4054, 1268, 1908, 1108, 1306, 5597, 185, 9905, 9228, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 126, 116, 1167, 1125, 1594, 16722, 3985, 1120, 12439, 28108, 20154, 178, 1810, 14232, 9905, 1233, 1224, 1107, 1170, 488, 124, 127, 3141, 488, 124, 131, 128, 129, 121, 1814, 1125, 1909, 6804, 3130, 2805, 1299, 1170, 4610, 1125, 10041, 22266, 9905, 9228, 121, 106, 106, 161, 1105, 9228, 1299, 3851, 192, 1856, 19166, 1313, 5999, 8196, 1835, 488, 124, 132, 125, 124, 1167, 488, 124, 132, 125, 127, 121, 1768, 1844, 1909, 28407, 1313, 1158, 3247, 488, 126, 6713, 1112, 1319, 3187, 116, 1227, 3418, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 1523, 2290, 1158, 4595, 1125, 10290, 1350, 13133, 1132, 5108, 3762, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 26201, 1703, 1254, 1314, 1173, 17024, 7138, 1197, 6410, 192, 1462, 1496, 1527, 1844, 1318, 2167, 4567, 1465, 18443, 1186, 4083, 1309, 6325, 4537, 7155, 1170, 2423, 6315, 1227, 14018, 1374, 6700, 10574, 116, 1222, 2268, 22783, 1313, 10399, 1273, 1303, 11374, 1266, 1456, 1140, 23021, 1125, 1252, 1687, 197, 9313, 119, 1527, 2690, 29155, 1464, 2466, 1317, 9452, 121, 1653, 488, 124, 132, 126, 128, 119, 1527, 1844, 1318, 2797, 5715, 1465, 18443, 1313, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 1125, 28708, 1342, 1405, 174, 2057, 2305, 106, 106, 5164, 4933, 1189, 19166, 1125, 12103, 1188, 9672, 3672, 1125, 6344, 26059, 1867, 488, 124, 132, 125, 127, 1188, 488, 124, 132, 125, 132, 119, 1527, 1299, 8328, 16051, 6713, 1274, 11769, 9566, 1576, 1653, 488, 124, 132, 127, 127, 119, 9905, 9228, 1299, 10689, 1313, 1158, 1293, 3604, 1897, 6645, 1217, 1130, 1108, 4101, 2038, 1227, 21564, 1125, 12547, 5341, 1227, 11594, 1167, 1125, 1158, 12502, 1193, 2163, 1227, 1863, 1507, 121, 106, 106, 140, 2136, 1158, 22925, 12507, 27213, 1527, 3483, 2752, 1170, 14207, 1167, 19859, 1188, 17597, 1186, 488, 124, 132, 128, 124, 121, 106, 106, 161, 1214, 11069, 488, 106, 2606, 488, 125, 125, 3141, 488, 124, 132, 124, 126, 119, 16070, 196, 9905, 9228, 16722, 1306, 1156, 26320, 1325, 2288, 1657, 1548, 11546, 1281, 20235, 1215, 1189, 25030, 121, 1768, 1281, 1557, 1214, 6349, 119, 1170, 488, 124, 124, 2738, 488, 124, 132, 125, 123, 119, 1469, 1293, 1494, 172, 1252, 2858, 119, 14232, 1170, 488, 126, 2798, 488, 124, 132, 123, 123, 119, 1318, 5921, 1227, 19782, 1125, 14493, 1378, 1252, 2858, 121, 106, 106, 145, 6417, 4134, 24084, 488, 106, 106, 488, 106, 488, 124, 132, 125, 124, 1257, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 109, 11345, 4094, 488, 126, 1257, 11539, 1319, 3187, 116, 106, 488, 124, 132, 125, 124, 1257, 7484, 11295, 24753, 109, 1257, 12492, 1165, 1168, 6152, 6767, 197, 1307, 9905, 1165, 20063, 5523, 488, 488, 106, 488, 124, 132, 125, 125, 1257, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 1128, 4353, 18395, 1173, 17024, 7138, 1197, 6410, 192, 1462, 116, 1257, 1922, 25558, 1735, 15729, 24700, 2180, 175, 1348, 116, 488, 488, 106, 488, 124, 132, 125, 127, 1257, 1808, 1266, 1456, 1140, 23021, 6047, 1214, 1266, 1456, 1140, 3513, 2765, 1186, 488, 125, 5737, 1257, 1643, 1352, 8072, 1336, 1125, 1518, 1164, 1320, 179, 1796, 1167, 1643, 21069, 1125, 13159, 178, 177, 6299, 116, 1257, 1222, 2268, 22783, 488, 488, 106, 488, 124, 132, 126, 123, 1257, 11374, 2207, 194, 257, 16075, 1148, 1753, 1145, 1208, 1125, 13206, 1208, 4540, 1248, 1510, 1107, 1167, 13314, 15140, 1204, 2449, 1334, 106, 488, 124, 132, 126, 128, 1257, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 106, 106, 1233, 13449, 488, 106, 1293, 1752, 1298, 2942, 11846, 4788, 1120, 2942, 1198, 1141, 12929, 1705, 1210, 4140, 14683, 12008, 12654, 1306, 239, 1153, 1659, 488, 124, 132, 123, 130, 119, 8471, 22439, 28366, 189, 178, 18509, 1939, 106, 106, 1200, 2624, 2475, 488, 106, 106, 1321, 1462, 4189, 2732, 2266, 262, 1784, 119, 8397, 189, 2196, 5596, 16070, 196, 9905, 1523, 1147, 133, 1293, 1752, 5086, 162, 9264, 4297, 28519, 8954, 1170, 488, 130, 3141, 488, 125, 123, 125, 124, 1576, 106, 106, 157, 1416, 6897, 5702, 1167, 2328, 1109, 7683, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 488, 106, 106, 488, 106, 106, 488, 488, 106, 106, 143, 25246, 16051, 10816, 106, 3742, 1836, 10816, 1125, 12103, 106, 3742, 1836, 10816, 1125, 9452, 106, 3742, 1836, 10816, 1227, 1127, 14210, 106, 3742, 1836, 10816, 1227, 23841, 6298, 106, 153, 3400, 1186, 3141, 488, 124, 131, 130, 132, 106, 153, 3400, 1188, 1202, 2707, 18156, 106, 153, 3400, 1313, 1158, 10660, 1125, 3261, 2163, 10914, 106, 31133, 1467, 1186, 2584, 488, 124, 132, 128, 124, 106, 31133, 1467, 1188, 17597, 106, 31133, 1467, 1188, 488, 130, 125, 2165, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 147, 1379, 196, 9905, 1772, 2196, 5596, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 130, 132, 1188, 1202, 2707, 18156, 1175, 12446, 2588, 1125, 3261, 2163, 10914, 116, 2290, 1170, 1874, 1125, 22266, 1306, 5597, 185, 7422, 8870, 21073, 9905, 9228, 1167, 4541, 1170, 488, 124, 132, 2584, 488, 124, 132, 128, 124, 1188, 17597, 6396, 16260, 1496, 1299, 1189, 19166, 1167, 8328, 16051, 10816, 121, 106, 106, 141, 11741, 488, 106, 106, 4455, 6393, 1125, 16070, 196, 9905, 9228, 1508, 1170, 4610, 4473, 18117, 4054, 1268, 1908, 1108, 1306, 5597, 185, 9905, 9228, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 126, 116, 1167, 1125, 1594, 16722, 3985, 1120, 12439, 28108, 20154, 178, 1810, 14232, 9905, 1233, 1224, 1107, 1170, 488, 124, 127, 3141, 488, 124, 131, 128, 129, 121, 1814, 1125, 1909, 6804, 3130, 2805, 1299, 1170, 4610, 1125, 10041, 22266, 9905, 9228, 121, 106, 106, 161, 1105, 9228, 1299, 3851, 192, 1856, 19166, 1313, 5999, 8196, 1835, 488, 124, 132, 125, 124, 1167, 488, 124, 132, 125, 127, 121, 1768, 1844, 1909, 28407, 1313, 1158, 3247, 488, 126, 6713, 1112, 1319, 3187, 116, 1227, 3418, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 1523, 2290, 1158, 4595, 1125, 10290, 1350, 13133, 1132, 5108, 3762, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 26201, 1703, 1254, 1314, 1173, 17024, 7138, 1197, 6410, 192, 1462, 1496, 1527, 1844, 1318, 2167, 4567, 1465, 18443, 1186, 4083, 1309, 6325, 4537, 7155, 1170, 2423, 6315, 1227, 14018, 1374, 6700, 10574, 116, 1222, 2268, 22783, 1313, 10399, 1273, 1303, 11374, 1266, 1456, 1140, 23021, 1125, 1252, 1687, 197, 9313, 119, 1527, 2690, 29155, 1464, 2466, 1317, 9452, 121, 1653, 488, 124, 132, 126, 128, 119, 1527, 1844, 1318, 2797, 5715, 1465, 18443, 1313, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 1125, 28708, 1342, 1405, 174, 2057, 2305, 106, 106, 5164, 4933, 1189, 19166, 1125, 12103, 1188, 9672, 3672, 1125, 6344, 26059, 1867, 488, 124, 132, 125, 127, 1188, 488, 124, 132, 125, 132, 119, 1527, 1299, 8328, 16051, 6713, 1274, 11769, 9566, 1576, 1653, 488, 124, 132, 127, 127, 119, 9905, 9228, 1299, 10689, 1313, 1158, 1293, 3604, 1897, 6645, 1217, 1130, 1108, 4101, 2038, 1227, 21564, 1125, 12547, 5341, 1227, 11594, 1167, 1125, 1158, 12502, 1193, 2163, 1227, 1863, 1507, 121, 106, 106, 140, 2136, 1158, 22925, 12507, 27213, 1527, 3483, 2752, 1170, 14207, 1167, 19859, 1188, 17597, 1186, 488, 124, 132, 128, 124, 121, 106, 106, 161, 1214, 11069, 488, 106, 2606, 488, 125, 125, 3141, 488, 124, 132, 124, 126, 119, 16070, 196, 9905, 9228, 16722, 1306, 1156, 26320, 1325, 2288, 1657, 1548, 11546, 1281, 20235, 1215, 1189, 25030, 121, 1768, 1281, 1557, 1214, 6349, 119, 1170, 488, 124, 124, 2738, 488, 124, 132, 125, 123, 119, 1469, 1293, 1494, 172, 1252, 2858, 119, 14232, 1170, 488, 126, 2798, 488, 124, 132, 123, 123, 119, 1318, 5921, 1227, 19782, 1125, 14493, 1378, 1252, 2858, 121, 106, 106, 145, 6417, 4134, 24084, 488, 106, 106, 488, 106, 488, 124, 132, 125, 124, 1257, 7419, 1107, 6410, 177, 9905, 3984, 1172, 1298, 109, 11345, 4094, 488, 126, 1257, 11539, 1319, 3187, 116, 106, 488, 124, 132, 125, 124, 1257, 7484, 11295, 24753, 109, 1257, 12492, 1165, 1168, 6152, 6767, 197, 1307, 9905, 1165, 20063, 5523, 488, 488, 106, 488, 124, 132, 125, 125, 1257, 10851, 2160, 26201, 1170, 1152, 1916, 1229, 6229, 1180, 2160, 1128, 4353, 18395, 1173, 17024, 7138, 1197, 6410, 192, 1462, 116, 1257, 1922, 25558, 1735, 15729, 24700, 2180, 175, 1348, 116, 488, 488, 106, 488, 124, 132, 125, 127, 1257, 1808, 1266, 1456, 1140, 23021, 6047, 1214, 1266, 1456, 1140, 3513, 2765, 1186, 488, 125, 5737, 1257, 1643, 1352, 8072, 1336, 1125, 1518, 1164, 1320, 179, 1796, 1167, 1643, 21069, 1125, 13159, 178, 177, 6299, 116, 1257, 1222, 2268, 22783, 488, 488, 106, 488, 124, 132, 126, 123, 1257, 11374, 2207, 194, 257, 16075, 1148, 1753, 1145, 1208, 1125, 13206, 1208, 4540, 1248, 1510, 1107, 1167, 13314, 15140, 1204, 2449, 1334, 106, 488, 124, 132, 126, 128, 1257, 27941, 17194, 174, 6047, 1141, 1204, 239, 175, 12929, 18651, 1783, 7972, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 106, 106, 1233, 13449, 488, 106, 1293, 1752, 1298, 2942, 11846, 4788, 1120, 2942, 1198, 1141, 12929, 1705, 1210, 4140, 14683, 12008, 12654, 1306, 239, 1153, 1659, 488, 124, 132, 123, 130, 119, 8471, 22439, 28366, 189, 178, 18509, 1939, 106, 106, 1200, 2624, 2475, 488, 106, 106, 1321, 1462, 4189, 2732, 2266, 262, 1784, 119, 8397, 189, 2196, 5596, 16070, 196, 9905, 1523, 1147, 133, 1293, 1752, 5086, 162, 9264, 4297, 28519, 8954, 1170, 488, 130, 3141, 488, 125, 123, 125, 124, 1576, 106, 106, 157, 1416, 6897, 5702, 1167, 2328, 1109, 7683, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 488, 106, 106, 488, 106, 106, 488, 488, 106, 106, 143, 25246, 16051, 10816, 106, 3742, 1836, 10816, 1125, 12103, 106, 3742, 1836, 10816, 1125, 9452, 106, 3742, 1836, 10816, 1227, 1127, 14210, 106, 3742, 1836, 10816, 1227, 23841, 6298, 106, 153, 3400, 1186, 3141, 488, 124, 131, 130, 132, 106, 153, 3400, 1188, 1202, 2707, 18156, 106, 153, 3400, 1313, 1158, 10660, 1125, 3261, 2163, 10914, 106, 31133, 1467, 1186, 2584, 488, 124, 132, 128, 124, 106, 31133, 1467, 1188, 17597, 106, 31133, 1467, 1188, 488, 130, 125, 2165, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 2720, 1346, 10019, 1313, 1170, 5927, 1227, 19008, 1132, 1186, 3734, 3767, 25220, 31653, 20155, 1457, 106, 106, 146, 22857, 106, 2606, 7130, 1125, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 10019, 1188, 488, 125, 128, 19185, 5519, 1136, 1292, 15316, 2290, 1170, 2151, 4236, 1577, 1199, 1227, 17578, 1125, 4304, 190, 1132, 193, 1762, 1207, 17220, 1922, 3576, 1175, 131, 126, 125, 13061, 1576, 106, 106, 11633, 4519, 4680, 8529, 1104, 106, 106, 19346, 8982, 2923, 106, 106, 7062, 4058, 106, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 15498, 1457, 3450, 1844, 1186, 5662, 3247, 1197, 8742, 1996, 1362, 2205, 1996, 29062, 1346, 1317, 4061, 1197, 22286, 2028, 1366, 1125, 28245, 1125, 17289, 1206, 2596, 106, 106, 2951, 12168, 1158, 8742, 1844, 3247, 1125, 1282, 1369, 1304, 1128, 18990, 5519, 1136, 1292, 15316, 2487, 2399, 1299, 1318, 4813, 1197, 2107, 1396, 1457, 4466, 1110, 6785, 1357, 18402, 488, 124, 123, 128, 2028, 1346, 1299, 22457, 6657, 1313, 1207, 4184, 1104, 1125, 2864, 1125, 488, 128, 123, 488, 123, 123, 123, 4393, 5996, 106, 106, 29533, 1755, 1162, 1197, 16651, 106, 6880, 16819, 1197, 16651, 1125, 1158, 29689, 9175, 3365, 15832, 1125, 1158, 2989, 1125, 2802, 23063, 1283, 16819, 3260, 3157, 25990, 1197, 16651, 3934, 1314, 9378, 24182, 3835, 12645, 1496, 1299, 28474, 1215, 30842, 1197, 14197, 18585, 1175, 129, 128, 119, 127, 2199, 1186, 488, 125, 123, 124, 131, 1496, 1186, 17894, 1215, 3598, 1188, 488, 124, 132, 132, 123, 1175, 129, 124, 119, 125, 2199, 1576, 1643, 17817, 28390, 1186, 488, 125, 123, 124, 131, 1299, 1170, 10549, 1257, 106, 197, 3807, 18585, 1166, 2201, 5101, 9536, 1175, 126, 132, 119, 128, 24901, 24429, 1175, 126, 126, 24901, 3432, 180, 3992, 1175, 125, 128, 119, 129, 24901, 25634, 1188, 10891, 1162, 1400, 16430, 1761, 8228, 30072, 1183, 1473, 1175, 124, 119, 129, 24901, 19602, 13913, 3606, 1175, 123, 119, 126, 2199, 1576, 2576, 9109, 1125, 1271, 16819, 1197, 16651, 1125, 1158, 4813, 1167, 1125, 1909, 29130, 2830, 1823, 5391, 1473, 1300, 1207, 6040, 4018, 1430, 5797, 20678, 1227, 7019, 1257, 1158, 10982, 1125, 14818, 6526, 27283, 161, 31549, 6298, 1496, 1158, 5963, 1304, 7549, 17835, 3407, 1175, 124, 131, 125, 123, 120, 124, 131, 129, 129, 116, 1167, 1207, 10982, 1362, 5764, 27465, 1125, 1282, 12276, 1256, 1158, 4927, 14785, 1175, 124, 132, 128, 123, 1188, 10125, 1576, 106, 106, 147, 20414, 1167, 11133, 106, 1686, 488, 125, 123, 124, 131, 119, 1170, 1874, 3576, 3983, 1125, 18606, 1313, 1158, 4813, 6096, 1125, 488, 124, 131, 126, 119, 3042, 3365, 3031, 1125, 488, 124, 131, 130, 1186, 488, 125, 123, 124, 126, 1167, 1125, 488, 124, 130, 126, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 155, 30550, 2008, 11133, 1285, 488, 130, 129, 119, 126, 2199, 6096, 1197, 17355, 2027, 7774, 1346, 488, 124, 127, 119, 128, 2199, 1197, 17355, 2027, 26487, 1167, 488, 132, 119, 126, 2199, 1197, 18606, 6527, 4974, 4466, 18606, 6096, 1256, 488, 132, 128, 119, 129, 2199, 13432, 5924, 1197, 14855, 19206, 1167, 1256, 488, 127, 119, 127, 2199, 1197, 15469, 1297, 106, 106, 2606, 11426, 9145, 5004, 1158, 3034, 4058, 1197, 18606, 1188, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1186, 488, 125, 123, 124, 131, 1186, 27499, 1469, 4421, 1227, 19008, 1132, 1167, 1125, 1158, 2315, 3462, 2805, 121, 3559, 7925, 1960, 21837, 2009, 1227, 4742, 1125, 18606, 1299, 2442, 1318, 16734, 1125, 17355, 2027, 26487, 1167, 18606, 7793, 10654, 1175, 124, 127, 119, 128, 31888, 21052, 1188, 4421, 1227, 21761, 1175, 125, 123, 119, 127, 31888, 1723, 13052, 1188, 4421, 1125, 1158, 2315, 3462, 2805, 1175, 132, 119, 130, 2199, 1576, 7100, 23746, 1170, 8774, 1304, 16819, 1125, 2008, 11133, 1285, 488, 131, 129, 119, 130, 2199, 1197, 11411, 1125, 1158, 4813, 1508, 17845, 1125, 2770, 11133, 1175, 131, 131, 119, 124, 2199, 1186, 488, 125, 123, 124, 126, 1496, 2714, 488, 130, 123, 119, 127, 2199, 1256, 1170, 19008, 1132, 1167, 488, 128, 130, 119, 128, 1256, 1158, 2315, 3462, 2805, 121, 106, 106, 9748, 8150, 1214, 106, 106, 155, 7695, 1167, 10932, 106, 106, 143, 2035, 4134, 106, 106, 142, 2748, 13359, 1167, 11639, 106, 106, 4455, 17220, 1922, 3576, 119, 2151, 4236, 1577, 1199, 1227, 3293, 1227, 7143, 1109, 1992, 18424, 106, 28018, 14924, 5904, 1125, 30707, 1374, 2944, 5639, 1227, 30228, 121, 106, 16927, 1227, 7143, 1109, 1992, 8566, 7130, 1125, 16324, 1992, 2596, 106, 21254, 1125, 1204, 15803, 1774, 106, 106, 155, 7849, 3608, 12006, 1188, 1158, 4813, 106, 3699, 3551, 24811, 11174, 1119, 1374, 1175, 124, 131, 130, 130, 120, 124, 132, 127, 126, 3568, 2682, 17215, 14609, 190, 18038, 9845, 8400, 116, 106, 27138, 1863, 1507, 1494, 1175, 124, 131, 132, 129, 120, 124, 132, 131, 128, 116, 1257, 20926, 1632, 22011, 1317, 1263, 6645, 2026, 2040, 1189, 17908, 1125, 1158, 4405, 1350, 16605, 5086, 16242, 2504, 2315, 2435, 1110, 1913, 20360, 121, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 1167, 10982, 106, 19784, 106, 106, 1165, 16679, 106, 106, 10853, 106, 106, 27566, 1125, 17289, 7872, 106, 106, 27884, 8541, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 12253, 1197, 8742, 1227, 19008, 1132, 106, 106, 28870, 5825, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1125, 26341, 22453, 3781, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1227, 3293, 1125, 4304, 190, 1132, 24647, 106, 106, 11633, 1515, 1313, 1170, 19008, 1132, 106, 11633, 1515, 1313, 7652, 16261, 5519, 1136, 1292, 1183, 106, 140, 1229, 1304, 1128, 18990, 5519, 1136, 1292, 1183, 32001, 488, 106, 32000, 20036, 106, 114, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 19832, 10019, 1313, 1170, 5927, 1227, 19008, 1132, 1186, 3734, 3767, 25220, 31653, 20155, 1457, 106, 106, 146, 22857, 488, 106, 2606, 7130, 1125, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 8446, 1188, 488, 125, 128, 19185, 5519, 1136, 1292, 15316, 2290, 1170, 2151, 4236, 1577, 1199, 1227, 17578, 1125, 4304, 190, 1132, 193, 1762, 1207, 17220, 1922, 3576, 1175, 131, 126, 125, 13061, 1576, 106, 106, 11633, 4519, 4680, 8529, 1104, 106, 106, 19346, 8982, 2923, 106, 106, 7062, 4058, 488, 106, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 18501, 5907, 3450, 1844, 1186, 5662, 3247, 1197, 8742, 1996, 1362, 2205, 1996, 29062, 1346, 1317, 4061, 1125, 1158, 22286, 2028, 1366, 1125, 28245, 1125, 17289, 1206, 2596, 106, 106, 2951, 12168, 1158, 4813, 1844, 3247, 1125, 1282, 1369, 1304, 1128, 18990, 5519, 1136, 1292, 15316, 2487, 2399, 1299, 1318, 4813, 1125, 1158, 31498, 121, 4060, 1110, 6785, 1357, 18402, 488, 124, 123, 128, 2028, 1346, 1299, 22457, 6657, 1313, 1207, 4184, 1104, 1125, 488, 1188, 2864, 1125, 488, 128, 123, 488, 123, 123, 123, 4393, 5996, 106, 106, 29533, 1755, 1162, 1197, 16651, 488, 106, 6880, 16819, 1197, 16651, 1125, 1158, 29689, 9175, 7230, 15832, 1125, 1158, 2989, 1125, 2802, 6923, 1283, 16819, 3260, 3157, 25990, 1197, 16651, 3934, 1314, 9378, 24182, 3835, 12645, 1496, 1299, 28474, 1215, 30842, 1197, 14197, 18585, 1175, 129, 128, 119, 127, 2199, 1186, 488, 125, 123, 124, 131, 1496, 1186, 17894, 1215, 3598, 1188, 488, 124, 132, 132, 123, 1175, 129, 124, 119, 125, 2199, 1576, 1643, 17817, 28390, 1186, 488, 125, 123, 124, 131, 1299, 1158, 10549, 1257, 488, 106, 197, 3807, 18585, 1166, 2201, 5101, 9536, 1175, 126, 132, 119, 128, 24901, 24429, 1175, 126, 126, 24901, 3432, 180, 3992, 1175, 125, 128, 119, 129, 24901, 25634, 1188, 10891, 1162, 1400, 16430, 1761, 8228, 30072, 1183, 1303, 1175, 124, 119, 129, 24901, 19602, 13913, 3606, 1175, 123, 119, 126, 2199, 1576, 2576, 9109, 1125, 1271, 16819, 1197, 16651, 1125, 1158, 4813, 1167, 1125, 1909, 29130, 1915, 1823, 5391, 1303, 1300, 1207, 6040, 4018, 1430, 5797, 20678, 1227, 7019, 1257, 1158, 5963, 1125, 14818, 6526, 27283, 161, 31549, 6298, 1496, 1158, 5963, 1304, 7549, 17835, 3407, 1175, 124, 131, 125, 123, 120, 124, 131, 129, 129, 116, 1167, 1207, 10982, 1362, 5764, 12431, 6542, 1125, 1282, 12276, 1256, 1158, 4927, 14785, 1175, 124, 132, 128, 123, 1188, 10125, 1576, 106, 106, 147, 20414, 1167, 11133, 488, 106, 1686, 488, 125, 123, 124, 131, 119, 1170, 2510, 3983, 1125, 18606, 1313, 1158, 4813, 3031, 1125, 488, 124, 131, 126, 119, 3042, 3365, 3031, 1125, 488, 124, 131, 130, 1186, 488, 125, 123, 124, 126, 1167, 1125, 488, 124, 130, 126, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 155, 30550, 2008, 11133, 1285, 488, 130, 129, 119, 126, 2199, 6096, 1197, 17355, 2027, 7774, 1346, 488, 124, 127, 119, 128, 2199, 1197, 17355, 2027, 26487, 1167, 488, 132, 119, 126, 2199, 1197, 18606, 6527, 5996, 4466, 18606, 6096, 1256, 488, 132, 128, 119, 129, 2199, 13432, 5924, 1197, 14855, 24960, 1167, 1256, 488, 127, 119, 127, 2199, 1197, 15469, 1297, 106, 106, 2606, 11426, 9145, 5004, 1158, 3034, 4058, 1197, 18606, 1188, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1186, 488, 125, 123, 124, 131, 1186, 27499, 1469, 4421, 1227, 19008, 1132, 1167, 1125, 1158, 2315, 3462, 17966, 3559, 7925, 1960, 21837, 2009, 1227, 4742, 1125, 18606, 1299, 2442, 1318, 16734, 1125, 17355, 2027, 26487, 1167, 18606, 7793, 10654, 1175, 124, 127, 119, 128, 31888, 21052, 1188, 4421, 1227, 5927, 1175, 125, 123, 119, 127, 31888, 1723, 13052, 1188, 4421, 1125, 1158, 2315, 22668, 1175, 132, 119, 130, 2199, 1576, 7100, 23746, 1170, 8774, 1304, 16819, 1125, 2008, 11133, 1285, 488, 131, 129, 119, 130, 2199, 1197, 11411, 1125, 1158, 4813, 1508, 17845, 1125, 1964, 11133, 1175, 131, 131, 119, 124, 2199, 1186, 488, 125, 123, 124, 126, 1496, 2714, 488, 130, 123, 119, 127, 2199, 1256, 1170, 19008, 1132, 1167, 488, 128, 130, 119, 128, 1256, 1158, 2315, 3462, 17966, 106, 106, 9748, 8150, 1214, 106, 106, 155, 7695, 1167, 10932, 106, 106, 143, 2035, 4134, 106, 106, 142, 2748, 13359, 1167, 11639, 106, 106, 151, 2636, 1167, 19574, 488, 106, 7649, 1197, 17220, 1922, 3576, 119, 2151, 4236, 1577, 1199, 1227, 3293, 1227, 7143, 1109, 1992, 18424, 106, 28018, 14924, 5904, 1125, 30707, 1374, 2944, 5639, 1227, 30228, 121, 106, 16927, 1227, 7143, 1109, 1992, 8566, 7130, 1125, 16324, 1992, 2596, 106, 21254, 1125, 1204, 15803, 1774, 106, 106, 155, 7849, 3608, 12006, 1188, 1158, 4813, 488, 106, 3699, 3551, 24811, 11174, 1119, 1374, 1175, 124, 131, 130, 130, 120, 124, 132, 127, 126, 3568, 2682, 17215, 14609, 190, 18038, 9845, 8400, 116, 106, 27138, 1863, 1507, 1494, 1175, 124, 131, 132, 129, 120, 124, 132, 131, 128, 116, 1257, 20926, 1632, 22011, 1317, 1263, 6645, 1230, 2040, 1189, 17908, 1125, 1158, 4405, 1350, 16605, 5086, 16242, 2504, 2315, 2435, 1110, 1913, 20360, 121, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 1167, 10982, 488, 106, 19784, 106, 106, 1165, 16679, 106, 106, 10853, 106, 106, 27566, 1125, 17289, 7872, 106, 106, 27884, 8541, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 8742, 1227, 19008, 1132, 106, 106, 28870, 5825, 488, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1125, 26341, 22453, 3781, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1227, 3293, 1125, 4304, 190, 1132, 24647, 106, 106, 11633, 1515, 1313, 1170, 19008, 1132, 106, 11633, 1515, 1313, 7652, 16261, 5519, 1136, 1292, 1183, 106, 140, 1229, 1304, 1128, 18990, 5519, 1136, 1292, 1183, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 19832, 10019, 1313, 1170, 5927, 1227, 19008, 1132, 1186, 3734, 3767, 25220, 31653, 20155, 1457, 106, 106, 146, 22857, 488, 106, 2606, 7130, 1125, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 8446, 1188, 488, 125, 128, 19185, 5519, 1136, 1292, 15316, 2290, 1170, 2151, 4236, 1577, 1199, 1227, 17578, 1125, 4304, 190, 1132, 193, 1762, 1207, 17220, 1922, 3576, 1175, 131, 126, 125, 13061, 1576, 106, 106, 11633, 4519, 4680, 8529, 1104, 106, 106, 19346, 8982, 2923, 106, 106, 7062, 4058, 488, 106, 151, 1183, 1301, 1378, 10067, 4338, 1154, 2202, 1299, 1318, 4813, 18501, 5907, 3450, 1844, 1186, 5662, 3247, 1197, 8742, 1996, 1362, 2205, 1996, 29062, 1346, 1317, 4061, 1125, 1158, 22286, 2028, 1366, 1125, 28245, 1125, 17289, 1206, 2596, 106, 106, 2951, 12168, 1158, 4813, 1844, 3247, 1125, 1282, 1369, 1304, 1128, 18990, 5519, 1136, 1292, 15316, 2487, 2399, 1299, 1318, 4813, 1125, 1158, 31498, 121, 4060, 1110, 6785, 1357, 18402, 488, 124, 123, 128, 2028, 1346, 1299, 22457, 6657, 1313, 1207, 4184, 1104, 1125, 488, 1188, 2864, 1125, 488, 128, 123, 488, 123, 123, 123, 4393, 5996, 106, 106, 29533, 1755, 1162, 1197, 16651, 488, 106, 6880, 16819, 1197, 16651, 1125, 1158, 29689, 9175, 7230, 15832, 1125, 1158, 2989, 1125, 2802, 6923, 1283, 16819, 3260, 3157, 25990, 1197, 16651, 3934, 1314, 9378, 24182, 3835, 12645, 1496, 1299, 28474, 1215, 30842, 1197, 14197, 18585, 1175, 129, 128, 119, 127, 2199, 1186, 488, 125, 123, 124, 131, 1496, 1186, 17894, 1215, 3598, 1188, 488, 124, 132, 132, 123, 1175, 129, 124, 119, 125, 2199, 1576, 1643, 17817, 28390, 1186, 488, 125, 123, 124, 131, 1299, 1158, 10549, 1257, 488, 106, 197, 3807, 18585, 1166, 2201, 5101, 9536, 1175, 126, 132, 119, 128, 24901, 24429, 1175, 126, 126, 24901, 3432, 180, 3992, 1175, 125, 128, 119, 129, 24901, 25634, 1188, 10891, 1162, 1400, 16430, 1761, 8228, 30072, 1183, 1303, 1175, 124, 119, 129, 24901, 19602, 13913, 3606, 1175, 123, 119, 126, 2199, 1576, 2576, 9109, 1125, 1271, 16819, 1197, 16651, 1125, 1158, 4813, 1167, 1125, 1909, 29130, 1915, 1823, 5391, 1303, 1300, 1207, 6040, 4018, 1430, 5797, 20678, 1227, 7019, 1257, 1158, 5963, 1125, 14818, 6526, 27283, 161, 31549, 6298, 1496, 1158, 5963, 1304, 7549, 17835, 3407, 1175, 124, 131, 125, 123, 120, 124, 131, 129, 129, 116, 1167, 1207, 10982, 1362, 5764, 12431, 6542, 1125, 1282, 12276, 1256, 1158, 4927, 14785, 1175, 124, 132, 128, 123, 1188, 10125, 1576, 106, 106, 147, 20414, 1167, 11133, 488, 106, 1686, 488, 125, 123, 124, 131, 119, 1170, 2510, 3983, 1125, 18606, 1313, 1158, 4813, 3031, 1125, 488, 124, 131, 126, 119, 3042, 3365, 3031, 1125, 488, 124, 131, 130, 1186, 488, 125, 123, 124, 126, 1167, 1125, 488, 124, 130, 126, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 155, 30550, 2008, 11133, 1285, 488, 130, 129, 119, 126, 2199, 6096, 1197, 17355, 2027, 7774, 1346, 488, 124, 127, 119, 128, 2199, 1197, 17355, 2027, 26487, 1167, 488, 132, 119, 126, 2199, 1197, 18606, 6527, 5996, 4466, 18606, 6096, 1256, 488, 132, 128, 119, 129, 2199, 13432, 5924, 1197, 14855, 24960, 1167, 1256, 488, 127, 119, 127, 2199, 1197, 15469, 1297, 106, 106, 2606, 11426, 9145, 5004, 1158, 3034, 4058, 1197, 18606, 1188, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1186, 488, 125, 123, 124, 131, 1186, 27499, 1469, 4421, 1227, 19008, 1132, 1167, 1125, 1158, 2315, 3462, 17966, 3559, 7925, 1960, 21837, 2009, 1227, 4742, 1125, 18606, 1299, 2442, 1318, 16734, 1125, 17355, 2027, 26487, 1167, 18606, 7793, 10654, 1175, 124, 127, 119, 128, 31888, 21052, 1188, 4421, 1227, 5927, 1175, 125, 123, 119, 127, 31888, 1723, 13052, 1188, 4421, 1125, 1158, 2315, 22668, 1175, 132, 119, 130, 2199, 1576, 7100, 23746, 1170, 8774, 1304, 16819, 1125, 2008, 11133, 1285, 488, 131, 129, 119, 130, 2199, 1197, 11411, 1125, 1158, 4813, 1508, 17845, 1125, 1964, 11133, 1175, 131, 131, 119, 124, 2199, 1186, 488, 125, 123, 124, 126, 1496, 2714, 488, 130, 123, 119, 127, 2199, 1256, 1170, 19008, 1132, 1167, 488, 128, 130, 119, 128, 1256, 1158, 2315, 3462, 17966, 106, 106, 9748, 8150, 1214, 106, 106, 155, 7695, 1167, 10932, 106, 106, 143, 2035, 4134, 106, 106, 142, 2748, 13359, 1167, 11639, 106, 106, 151, 2636, 1167, 19574, 488, 106, 7649, 1197, 17220, 1922, 3576, 119, 2151, 4236, 1577, 1199, 1227, 3293, 1227, 7143, 1109, 1992, 18424, 106, 28018, 14924, 5904, 1125, 30707, 1374, 2944, 5639, 1227, 30228, 121, 106, 16927, 1227, 7143, 1109, 1992, 8566, 7130, 1125, 16324, 1992, 2596, 106, 21254, 1125, 1204, 15803, 1774, 106, 106, 155, 7849, 3608, 12006, 1188, 1158, 4813, 488, 106, 3699, 3551, 24811, 11174, 1119, 1374, 1175, 124, 131, 130, 130, 120, 124, 132, 127, 126, 3568, 2682, 17215, 14609, 190, 18038, 9845, 8400, 116, 106, 27138, 1863, 1507, 1494, 1175, 124, 131, 132, 129, 120, 124, 132, 131, 128, 116, 1257, 20926, 1632, 22011, 1317, 1263, 6645, 1230, 2040, 1189, 17908, 1125, 1158, 4405, 1350, 16605, 5086, 16242, 2504, 2315, 2435, 1110, 1913, 20360, 121, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 1167, 10982, 488, 106, 19784, 106, 106, 1165, 16679, 106, 106, 10853, 106, 106, 27566, 1125, 17289, 7872, 106, 106, 27884, 8541, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 8742, 1227, 19008, 1132, 106, 106, 28870, 5825, 488, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1125, 26341, 22453, 3781, 106, 16324, 1301, 1378, 10067, 4338, 1154, 2202, 1300, 1170, 1865, 1227, 3293, 1125, 4304, 190, 1132, 24647, 106, 106, 11633, 1515, 1313, 1170, 19008, 1132, 106, 11633, 1515, 1313, 7652, 16261, 5519, 1136, 1292, 1183, 106, 140, 1229, 1304, 1128, 18990, 5519, 1136, 1292, 1183, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 1660, 1306, 8335, 5995, 28093, 6930, 24051, 1188, 19682, 1170, 488, 129, 1114, 1955, 1148, 1650, 488, 124, 131, 132, 131, 119, 4541, 1317, 2076, 14496, 1170, 488, 124, 129, 1127, 1516, 488, 124, 132, 129, 130, 116, 1299, 1189, 19166, 24587, 1125, 9452, 119, 1357, 1299, 1597, 8317, 1313, 488, 125, 127, 8196, 1317, 3285, 2519, 9245, 1357, 1110, 13551, 1186, 20375, 1167, 8135, 18280, 1214, 1186, 10665, 11438, 1125, 488, 124, 132, 125, 124, 1188, 488, 124, 132, 128, 128, 121, 106, 106, 145, 6417, 4134, 10554, 488, 106, 106, 124, 132, 125, 124, 1257, 1643, 1147, 1183, 1887, 2369, 106, 124, 132, 127, 123, 1257, 3985, 30687, 183, 2184, 186, 1166, 260, 190, 1124, 1125, 31744, 1918, 1134, 3382, 106, 124, 132, 127, 123, 1257, 1643, 4732, 1456, 3948, 106, 124, 132, 127, 124, 1257, 6522, 1104, 172, 1352, 1944, 175, 247, 4763, 1125, 26189, 17267, 6526, 106, 124, 132, 127, 124, 1257, 2576, 1686, 18117, 1227, 27243, 1373, 1362, 1748, 7182, 1188, 28138, 1125, 26279, 4829, 1141, 1352, 4520, 3708, 106, 124, 132, 127, 125, 1257, 17734, 2100, 1198, 4450, 2752, 3835, 20684, 13096, 1198, 4450, 1182, 1217, 116, 1125, 3934, 1154, 4891, 4787, 144, 189, 1766, 186, 106, 124, 132, 127, 125, 1257, 4732, 1613, 25307, 106, 124, 132, 127, 125, 1257, 27761, 1108, 106, 124, 132, 127, 125, 1257, 1198, 1214, 2402, 186, 1125, 28525, 1125, 10958, 30230, 1202, 1376, 106, 124, 132, 127, 126, 1257, 488, 125, 126, 1125, 2277, 186, 106, 124, 132, 127, 126, 1257, 3985, 1170, 6930, 1125, 14163, 4910, 172, 106, 124, 132, 127, 126, 1257, 25922, 22108, 17336, 106, 124, 132, 127, 127, 1257, 26429, 2046, 2504, 488, 106, 124, 132, 127, 127, 1257, 4350, 2589, 186, 488, 106, 124, 132, 127, 130, 1257, 18282, 4000, 5811, 488, 106, 124, 132, 127, 131, 1257, 1643, 4810, 19013, 3122, 5149, 1115, 4487, 254, 1299, 172, 5812, 1208, 106, 124, 132, 127, 131, 1257, 6164, 252, 172, 1918, 16330, 1158, 6279, 9269, 488, 106, 124, 132, 127, 132, 1257, 3318, 1146, 1137, 2504, 106, 124, 132, 128, 123, 1257, 3985, 1281, 252, 1121, 9428, 1148, 1196, 106, 124, 132, 128, 123, 1257, 488, 126, 132, 5797, 1141, 1125, 28525, 106, 124, 132, 128, 124, 1257, 10255, 1132, 3382, 1125, 1459, 2313, 2078, 1154, 106, 124, 132, 128, 125, 1257, 1200, 1172, 1810, 1158, 1113, 5905, 2960, 1125, 1248, 2564, 6652, 19889, 106, 124, 132, 128, 127, 1257, 1548, 1233, 1298, 1107, 1125, 11597, 1141, 7890, 183, 3231, 186, 1125, 11597, 1141, 1496, 1125, 1248, 2564, 6652, 19889, 1257, 1165, 5363, 21936, 106, 124, 132, 128, 128, 1257, 7219, 8270, 2324, 5834, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 142, 1568, 2689, 24312, 3051, 488, 106, 106, 153, 3400, 1188, 19682, 106, 3742, 1836, 24587, 1125, 9452, 106, 3742, 1836, 15699, 2691, 3333, 106, 153, 3400, 1186, 2875, 488, 124, 131, 132, 131, 106, 31133, 1467, 1186, 1127, 1516, 488, 124, 132, 129, 130, 106, 31133, 1467, 1188, 19682, 106, 31133, 1467, 1188, 488, 129, 131, 8793, 32001, 488, 106, 32000, 20036, 106, 151, 1660, 1306, 8335, 5995, 28093, 6930, 24051, 1188, 19682, 1170, 488, 129, 2875, 488, 124, 131, 132, 131, 119, 4541, 1317, 2076, 14496, 1170, 488, 124, 129, 2829, 488, 124, 132, 129, 130, 116, 1299, 1189, 19166, 24587, 1125, 9452, 119, 1357, 1299, 1597, 8317, 1313, 488, 125, 127, 8196, 1317, 3285, 2519, 9245, 1357, 1110, 13551, 1186, 20375, 1167, 8135, 18280, 1214, 1186, 10665, 11438, 1125, 488, 124, 132, 125, 124, 1188, 488, 124, 132, 128, 128, 121, 106, 106, 145, 6417, 4134, 10554, 488, 106, 106, 124, 132, 125, 124, 1257, 1643, 1147, 1183, 1887, 2369, 106, 124, 132, 127, 123, 1257, 3985, 30687, 183, 2184, 186, 1166, 260, 190, 1124, 1125, 31744, 1918, 1134, 3382, 106, 124, 132, 127, 123, 1257, 1643, 4732, 1456, 3948, 106, 124, 132, 127, 124, 1257, 6522, 1104, 172, 1352, 1944, 175, 247, 4763, 1125, 26189, 17267, 6526, 106, 124, 132, 127, 124, 1257, 2576, 1686, 18117, 1227, 27243, 1373, 1362, 1748, 7182, 1188, 28138, 1125, 26279, 4829, 1141, 1352, 4520, 3708, 106, 124, 132, 127, 125, 1257, 17734, 2100, 1198, 4450, 2752, 3835, 20684, 13096, 1198, 4450, 1182, 1217, 116, 1125, 3934, 1154, 4891, 4787, 144, 189, 1766, 186, 106, 124, 132, 127, 125, 1257, 4732, 1613, 25307, 106, 124, 132, 127, 125, 1257, 27761, 1108, 106, 124, 132, 127, 125, 1257, 1198, 1214, 2402, 186, 1125, 28525, 1125, 10958, 30230, 1202, 1376, 106, 124, 132, 127, 126, 1257, 488, 125, 126, 1125, 2277, 186, 106, 124, 132, 127, 126, 1257, 3985, 1170, 6930, 1125, 14163, 4910, 186, 106, 124, 132, 127, 126, 1257, 25922, 22108, 17336, 106, 124, 132, 127, 127, 1257, 26429, 2046, 2504, 488, 106, 124, 132, 127, 127, 1257, 4350, 2589, 186, 488, 106, 124, 132, 127, 130, 1257, 18282, 4000, 5811, 488, 106, 124, 132, 127, 131, 1257, 1643, 4810, 19013, 3122, 5149, 1115, 4487, 254, 1299, 172, 5812, 1208, 106, 124, 132, 127, 131, 1257, 6164, 252, 172, 1918, 16330, 1158, 6279, 9269, 488, 106, 124, 132, 127, 132, 1257, 3318, 1146, 1137, 2504, 106, 124, 132, 128, 123, 1257, 3985, 1281, 252, 1121, 9428, 1148, 1196, 106, 124, 132, 128, 123, 1257, 488, 126, 132, 5797, 1141, 1125, 28525, 106, 124, 132, 128, 124, 1257, 10255, 1132, 3382, 1125, 1459, 2313, 2078, 1154, 106, 124, 132, 128, 125, 1257, 1200, 1172, 1810, 1158, 1113, 5905, 2960, 1125, 1248, 2564, 6652, 19889, 106, 124, 132, 128, 127, 1257, 1548, 1233, 1298, 1107, 1125, 11597, 1141, 7890, 183, 3231, 186, 1125, 11597, 1141, 1496, 1125, 1248, 2564, 6652, 19889, 1257, 1165, 5363, 21936, 106, 124, 132, 128, 128, 1257, 7219, 8270, 2324, 5834, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 142, 1568, 2689, 24312, 3051, 488, 106, 106, 153, 3400, 1188, 19682, 106, 3742, 1836, 24587, 1125, 9452, 106, 3742, 1836, 15699, 2691, 3333, 106, 153, 3400, 1186, 2875, 488, 124, 131, 132, 131, 106, 31133, 1467, 1186, 2829, 488, 124, 132, 129, 130, 106, 31133, 1467, 1188, 19682, 106, 31133, 1467, 1188, 488, 129, 131, 2165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 151, 1660, 1306, 8335, 5995, 28093, 6930, 24051, 1188, 19682, 1170, 488, 129, 2875, 488, 124, 131, 132, 131, 119, 4541, 1317, 2076, 14496, 1170, 488, 124, 129, 2829, 488, 124, 132, 129, 130, 116, 1299, 1189, 19166, 24587, 1125, 9452, 119, 1357, 1299, 1597, 8317, 1313, 488, 125, 127, 8196, 1317, 3285, 2519, 9245, 1357, 1110, 13551, 1186, 20375, 1167, 8135, 18280, 1214, 1186, 10665, 11438, 1125, 488, 124, 132, 125, 124, 1188, 488, 124, 132, 128, 128, 121, 106, 106, 145, 6417, 4134, 10554, 488, 106, 106, 124, 132, 125, 124, 1257, 1643, 1147, 1183, 1887, 2369, 106, 124, 132, 127, 123, 1257, 3985, 30687, 183, 2184, 186, 1166, 260, 190, 1124, 1125, 31744, 1918, 1134, 3382, 106, 124, 132, 127, 123, 1257, 1643, 4732, 1456, 3948, 106, 124, 132, 127, 124, 1257, 6522, 1104, 172, 1352, 1944, 175, 247, 4763, 1125, 26189, 17267, 6526, 106, 124, 132, 127, 124, 1257, 2576, 1686, 18117, 1227, 27243, 1373, 1362, 1748, 7182, 1188, 28138, 1125, 26279, 4829, 1141, 1352, 4520, 3708, 106, 124, 132, 127, 125, 1257, 17734, 2100, 1198, 4450, 2752, 3835, 20684, 13096, 1198, 4450, 1182, 1217, 116, 1125, 3934, 1154, 4891, 4787, 144, 189, 1766, 186, 106, 124, 132, 127, 125, 1257, 4732, 1613, 25307, 106, 124, 132, 127, 125, 1257, 27761, 1108, 106, 124, 132, 127, 125, 1257, 1198, 1214, 2402, 186, 1125, 28525, 1125, 10958, 30230, 1202, 1376, 106, 124, 132, 127, 126, 1257, 488, 125, 126, 1125, 2277, 186, 106, 124, 132, 127, 126, 1257, 3985, 1170, 6930, 1125, 14163, 4910, 186, 106, 124, 132, 127, 126, 1257, 25922, 22108, 17336, 106, 124, 132, 127, 127, 1257, 26429, 2046, 2504, 488, 106, 124, 132, 127, 127, 1257, 4350, 2589, 186, 488, 106, 124, 132, 127, 130, 1257, 18282, 4000, 5811, 488, 106, 124, 132, 127, 131, 1257, 1643, 4810, 19013, 3122, 5149, 1115, 4487, 254, 1299, 172, 5812, 1208, 106, 124, 132, 127, 131, 1257, 6164, 252, 172, 1918, 16330, 1158, 6279, 9269, 488, 106, 124, 132, 127, 132, 1257, 3318, 1146, 1137, 2504, 106, 124, 132, 128, 123, 1257, 3985, 1281, 252, 1121, 9428, 1148, 1196, 106, 124, 132, 128, 123, 1257, 488, 126, 132, 5797, 1141, 1125, 28525, 106, 124, 132, 128, 124, 1257, 10255, 1132, 3382, 1125, 1459, 2313, 2078, 1154, 106, 124, 132, 128, 125, 1257, 1200, 1172, 1810, 1158, 1113, 5905, 2960, 1125, 1248, 2564, 6652, 19889, 106, 124, 132, 128, 127, 1257, 1548, 1233, 1298, 1107, 1125, 11597, 1141, 7890, 183, 3231, 186, 1125, 11597, 1141, 1496, 1125, 1248, 2564, 6652, 19889, 1257, 1165, 5363, 21936, 106, 124, 132, 128, 128, 1257, 7219, 8270, 2324, 5834, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 142, 1568, 2689, 24312, 3051, 488, 106, 106, 153, 3400, 1188, 19682, 106, 3742, 1836, 24587, 1125, 9452, 106, 3742, 1836, 15699, 2691, 3333, 106, 153, 3400, 1186, 2875, 488, 124, 131, 132, 131, 106, 31133, 1467, 1186, 2829, 488, 124, 132, 129, 130, 106, 31133, 1467, 1188, 19682, 106, 31133, 1467, 1188, 488, 129, 131, 2165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 1222, 1679, 194, 1132, 26347, 11662, 24174, 1105, 9031, 1560, 179, 114, 120, 1349, 4817, 1390, 120, 1461, 4495, 1299, 1189, 3285, 11739, 1125, 488, 126, 123, 13453, 1125, 2102, 8446, 1300, 1158, 6662, 1554, 1890, 14143, 1460, 1313, 17902, 1125, 10681, 1317, 20449, 13469, 1197, 17941, 5068, 1548, 3285, 11739, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 30898, 14143, 2097, 1313, 1170, 4742, 3781, 14143, 1460, 2567, 1125, 2368, 1416, 1118, 2495, 2079, 21204, 2585, 1527, 20235, 1561, 4235, 1313, 1170, 21817, 1306, 2494, 119, 1189, 16021, 1125, 4592, 1125, 14097, 174, 11547, 11752, 11190, 23924, 1317, 18931, 1454, 21158, 121, 106, 106, 151, 2119, 15294, 1227, 3285, 11739, 1281, 8446, 1313, 1170, 4742, 23982, 1125, 1222, 1679, 194, 1132, 26347, 6047, 1679, 194, 1132, 26347, 5011, 7129, 1576, 3190, 6943, 1125, 19006, 1125, 6577, 1180, 20744, 1508, 14147, 1313, 1816, 3734, 4393, 17238, 1215, 1158, 1111, 2047, 22480, 1390, 1174, 1125, 5370, 21126, 1599, 1186, 6590, 31152, 1207, 3220, 1256, 1207, 1561, 1255, 1376, 1227, 11752, 11190, 14147, 1313, 1909, 1184, 9484, 106, 106, 2606, 1874, 1222, 1679, 194, 1132, 26347, 18358, 1594, 1874, 2519, 29021, 1675, 1356, 20368, 2794, 1125, 1158, 1111, 2047, 8755, 1387, 1137, 1943, 121, 4060, 29021, 9563, 2335, 5598, 7576, 23726, 1222, 1180, 4817, 1478, 120, 1273, 2393, 1167, 1357, 7457, 1913, 6033, 244, 1186, 16489, 5639, 1125, 1158, 3869, 1125, 1158, 17451, 121, 106, 106, 10853, 106, 106, 142, 1627, 11739, 1313, 1170, 4742, 5277, 14143, 7165, 32001, 488, 106, 32000, 20036, 106, 3562, 1222, 1679, 194, 1132, 26347, 11662, 24174, 1105, 9031, 1560, 179, 114, 120, 1349, 4817, 1390, 120, 1461, 4495, 1299, 1189, 3285, 11739, 1125, 488, 126, 123, 13453, 1125, 2102, 8446, 1300, 1158, 6662, 1554, 1890, 14143, 1460, 1313, 17902, 1125, 10681, 1317, 20449, 13469, 1197, 17941, 5068, 1548, 3285, 11739, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 30898, 14143, 2097, 1313, 1170, 4742, 3781, 14143, 1460, 2567, 1125, 2368, 1416, 1118, 2495, 2079, 21204, 2585, 1527, 20235, 1561, 4235, 1313, 1170, 21817, 1306, 2494, 119, 1189, 16021, 1125, 4592, 1125, 14097, 174, 11547, 11752, 11190, 23924, 1317, 18931, 1454, 21158, 121, 106, 106, 151, 2119, 15294, 1227, 3285, 11739, 1281, 18381, 1313, 1170, 4742, 23982, 1125, 1222, 1679, 194, 1132, 26347, 6047, 1679, 194, 1132, 26347, 5011, 7129, 1576, 3190, 6943, 1125, 19006, 1125, 6577, 1180, 20744, 1508, 14147, 1313, 1816, 3734, 4393, 1303, 1215, 1158, 1111, 2047, 22480, 1390, 1174, 1125, 5370, 21126, 1599, 1186, 5588, 31152, 1207, 3220, 1256, 1207, 1561, 1255, 1376, 1227, 11752, 11190, 14147, 1313, 1909, 1184, 9484, 106, 106, 2606, 1874, 1222, 1679, 194, 1132, 26347, 18358, 1594, 1874, 2519, 29021, 1675, 1356, 20368, 2794, 1125, 1158, 1111, 2047, 8755, 1387, 1137, 1943, 121, 4060, 29021, 9563, 2335, 5598, 7576, 23726, 1222, 1180, 4817, 1478, 120, 1273, 2393, 1167, 1357, 7457, 1913, 6033, 244, 1186, 16489, 5639, 1125, 1158, 3869, 1125, 1158, 17451, 121, 106, 106, 8044, 4811, 488, 106, 106, 142, 1627, 11739, 1313, 1170, 4742, 3781, 14143, 1460, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 1222, 1679, 194, 1132, 26347, 11662, 24174, 1105, 9031, 1560, 179, 114, 120, 1349, 4817, 1390, 120, 1461, 4495, 1299, 1189, 3285, 11739, 1125, 488, 126, 123, 13453, 1125, 2102, 8446, 1300, 1158, 6662, 1554, 1890, 14143, 1460, 1313, 17902, 1125, 10681, 1317, 20449, 13469, 1197, 17941, 5068, 1548, 3285, 11739, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 30898, 14143, 2097, 1313, 1170, 4742, 3781, 14143, 1460, 2567, 1125, 2368, 1416, 1118, 2495, 2079, 21204, 2585, 1527, 20235, 1561, 4235, 1313, 1170, 21817, 1306, 2494, 119, 1189, 16021, 1125, 4592, 1125, 14097, 174, 11547, 11752, 11190, 23924, 1317, 18931, 1454, 21158, 121, 106, 106, 151, 2119, 15294, 1227, 3285, 11739, 1281, 18381, 1313, 1170, 4742, 23982, 1125, 1222, 1679, 194, 1132, 26347, 6047, 1679, 194, 1132, 26347, 5011, 7129, 1576, 3190, 6943, 1125, 19006, 1125, 6577, 1180, 20744, 1508, 14147, 1313, 1816, 3734, 4393, 1303, 1215, 1158, 1111, 2047, 22480, 1390, 1174, 1125, 5370, 21126, 1599, 1186, 5588, 31152, 1207, 3220, 1256, 1207, 1561, 1255, 1376, 1227, 11752, 11190, 14147, 1313, 1909, 1184, 9484, 106, 106, 2606, 1874, 1222, 1679, 194, 1132, 26347, 18358, 1594, 1874, 2519, 29021, 1675, 1356, 20368, 2794, 1125, 1158, 1111, 2047, 8755, 1387, 1137, 1943, 121, 4060, 29021, 9563, 2335, 5598, 7576, 23726, 1222, 1180, 4817, 1478, 120, 1273, 2393, 1167, 1357, 7457, 1913, 6033, 244, 1186, 16489, 5639, 1125, 1158, 3869, 1125, 1158, 17451, 121, 106, 106, 8044, 4811, 488, 106, 106, 142, 1627, 11739, 1313, 1170, 4742, 3781, 14143, 1460, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 7490, 197, 1869, 24174, 1105, 25710, 2986, 1299, 1189, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 1227, 8573, 10953, 1125, 18931, 278, 2554, 196, 1313, 1158, 30841, 1125, 1200, 3491, 2982, 8446, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 2606, 7130, 1299, 1170, 9209, 12198, 1175, 1512, 177, 2992, 2466, 116, 1125, 1158, 1185, 1577, 172, 20555, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 121, 106, 106, 5164, 1281, 18381, 1188, 3997, 488, 488, 131, 19185, 1317, 20449, 1182, 1125, 18931, 278, 2554, 196, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 488, 129, 129, 19185, 1317, 20449, 13469, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 2803, 11073, 1985, 1160, 1318, 5740, 1125, 488, 488, 124, 488, 123, 123, 123, 4393, 5996, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1282, 20246, 30841, 1125, 1200, 3491, 4537, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 3643, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 192, 278, 2554, 1762, 17128, 1227, 8573, 180, 6093, 32001, 488, 106, 32000, 20036, 106, 114, 7490, 197, 1869, 24174, 1105, 25710, 2986, 1299, 1189, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 1227, 8573, 10953, 1125, 18931, 278, 2554, 196, 1313, 1158, 30841, 1125, 1200, 3491, 2982, 8446, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 2606, 7130, 1299, 1170, 9209, 12198, 1175, 1512, 177, 2992, 2466, 116, 1125, 1158, 1185, 1577, 172, 20555, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 121, 106, 106, 5164, 1281, 18381, 1188, 3997, 488, 488, 131, 19185, 1317, 20449, 1182, 1125, 18931, 278, 2554, 196, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 488, 129, 129, 19185, 1317, 20449, 13469, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 2803, 11073, 1985, 1160, 1318, 5740, 1125, 488, 488, 124, 488, 123, 123, 123, 4393, 5996, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1282, 20246, 30841, 1125, 1200, 3491, 4537, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 3643, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 1246, 10953, 1125, 18931, 278, 2554, 196, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 7490, 197, 1869, 24174, 1105, 25710, 2986, 1299, 1189, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 1227, 8573, 10953, 1125, 18931, 278, 2554, 196, 1313, 1158, 30841, 1125, 1200, 3491, 2982, 8446, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 2606, 7130, 1299, 1170, 9209, 12198, 1175, 1512, 177, 2992, 2466, 116, 1125, 1158, 1185, 1577, 172, 20555, 1185, 1577, 172, 1125, 1251, 189, 197, 1869, 121, 106, 106, 5164, 1281, 18381, 1188, 3997, 488, 488, 131, 19185, 1317, 20449, 1182, 1125, 18931, 278, 2554, 196, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 488, 129, 129, 19185, 1317, 20449, 13469, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 2803, 11073, 1985, 1160, 1318, 5740, 1125, 488, 488, 124, 488, 123, 123, 123, 4393, 5996, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1282, 20246, 30841, 1125, 1200, 3491, 4537, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 3643, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 1246, 10953, 1125, 18931, 278, 2554, 196, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2029, 1132, 2549, 1810, 1186, 27118, 2734, 119, 1299, 1318, 488, 11363, 1125, 27542, 25019, 9005, 3247, 1197, 20403, 2068, 244, 1118, 1117, 22122, 22590, 1856, 1158, 6311, 1408, 3828, 1125, 1282, 2528, 21562, 1215, 1561, 27929, 1125, 488, 124, 488, 123, 128, 124, 7275, 125, 121, 3450, 2985, 12381, 1186, 488, 124, 130, 127, 124, 1215, 19063, 1153, 1233, 1356, 2241, 1643, 3837, 1304, 2029, 1132, 25019, 1299, 1996, 1291, 1303, 1125, 488, 127, 488, 125, 131, 126, 11411, 3702, 1189, 30987, 1125, 488, 125, 123, 123, 125, 121, 106, 106, 15539, 1299, 6967, 15550, 10019, 1188, 488, 128, 123, 2709, 1104, 1557, 1554, 1227, 3819, 11185, 1125, 1158, 4592, 1125, 1233, 1356, 2064, 1188, 488, 131, 123, 123, 2709, 1104, 1557, 1554, 1317, 18762, 13469, 12412, 1210, 5029, 1167, 1188, 488, 124, 488, 128, 123, 123, 2709, 1104, 1557, 1554, 1125, 2499, 2251, 6204, 6218, 2151, 4236, 1577, 1199, 1299, 1170, 2383, 26829, 2955, 1109, 2519, 10240, 1125, 488, 124, 488, 126, 124, 126, 23882, 25869, 1814, 1132, 25019, 1299, 1158, 17128, 3002, 10329, 1125, 1282, 249, 6204, 6280, 5735, 1878, 14504, 1188, 1318, 3110, 17361, 1416, 1439, 10019, 1835, 488, 124, 130, 129, 123, 1167, 488, 124, 130, 130, 128, 121, 106, 106, 224, 15051, 488, 106, 2029, 1132, 25019, 1299, 27495, 1856, 1189, 4779, 7993, 4601, 15257, 1167, 1856, 1189, 4779, 1125, 7252, 4578, 121, 3450, 9016, 1170, 3151, 2515, 3781, 2757, 488, 124, 132, 132, 125, 1256, 1170, 7674, 1167, 1158, 5219, 1125, 1909, 12532, 1125, 1127, 1657, 1653, 488, 124, 132, 132, 126, 119, 1207, 18928, 19018, 1300, 1814, 1132, 25019, 4018, 2457, 488, 128, 125, 2199, 1227, 5387, 11866, 1125, 27542, 25019, 3462, 17966, 4608, 1282, 249, 3476, 3997, 488, 132, 123, 2199, 1125, 1158, 5148, 1125, 2498, 9462, 7568, 1160, 1227, 6485, 20581, 1125, 1158, 12618, 121, 3559, 3247, 10604, 1167, 14211, 8469, 1227, 6485, 1197, 10934, 1304, 2029, 1132, 25019, 1299, 17350, 1125, 18025, 31136, 1158, 15238, 1167, 1158, 1618, 1178, 7314, 1197, 2164, 29282, 1125, 12618, 21170, 1167, 21647, 121, 1808, 3617, 1125, 2498, 1300, 23684, 1508, 3635, 1234, 1188, 488, 126, 129, 126, 1215, 27252, 1814, 4764, 2205, 4188, 8135, 14268, 1300, 23684, 1835, 488, 124, 132, 131, 131, 1167, 488, 124, 132, 132, 125, 10374, 1188, 22535, 1125, 1158, 12618, 1167, 1125, 1158, 17484, 1571, 1747, 186, 12041, 26560, 1188, 1996, 119, 1814, 1132, 25019, 1110, 13551, 1188, 2368, 27383, 1167, 18197, 9318, 1189, 6525, 4764, 4855, 1188, 22535, 28133, 121, 106, 106, 2809, 1195, 1128, 488, 106, 4455, 28735, 12841, 3802, 2137, 1300, 1814, 1132, 25019, 2604, 1129, 1125, 488, 126, 14130, 1188, 488, 129, 14130, 11781, 1309, 1207, 28735, 2063, 1117, 1613, 1104, 2368, 1416, 7198, 1396, 1129, 1835, 488, 129, 14130, 1167, 488, 124, 127, 14130, 121, 1808, 25183, 14159, 1894, 6352, 5906, 23131, 1186, 8468, 488, 131, 124, 5019, 11781, 1309, 1158, 24272, 1915, 26748, 488, 125, 126, 125, 5019, 1188, 16541, 3798, 1643, 12029, 8468, 1227, 10266, 1300, 1282, 249, 3476, 14719, 11129, 1125, 1282, 24822, 7758, 2059, 1506, 120, 7965, 1299, 1186, 8468, 1125, 488, 125, 126, 7275, 122, 5879, 3042, 1309, 1158, 1408, 3828, 12482, 1348, 28526, 3031, 1125, 488, 131, 128, 7275, 7921, 121, 106, 106, 159, 1157, 2923, 488, 106, 6880, 11363, 16636, 1125, 1408, 1186, 1408, 1125, 10733, 1318, 1855, 8803, 28133, 1186, 1281, 9377, 1199, 3747, 2335, 1110, 14988, 1469, 1197, 26847, 3219, 11823, 2519, 2989, 1256, 1207, 7684, 9984, 1764, 2442, 1309, 2519, 3202, 1567, 3591, 1186, 2320, 7542, 1207, 2879, 20862, 121, 106, 106, 22498, 3111, 488, 106, 106, 3562, 5740, 1299, 25130, 15550, 1167, 16191, 1692, 2604, 1303, 4855, 1571, 5736, 1125, 2498, 1197, 25743, 1297, 1808, 2068, 244, 1261, 1346, 1158, 5740, 30530, 1197, 20403, 2068, 244, 1118, 1117, 22122, 3647, 1129, 3997, 488, 130, 2199, 1125, 1158, 5740, 7195, 3701, 11781, 1309, 1170, 4933, 1299, 20723, 5519, 1349, 6068, 1175, 124, 132, 24901, 1125, 14136, 3589, 13772, 4076, 1925, 1175, 124, 126, 31888, 1167, 1125, 16419, 190, 1175, 129, 124, 2199, 1576, 4511, 13533, 1309, 23684, 9924, 2519, 28896, 16790, 23384, 176, 28359, 1606, 2605, 11645, 1125, 1158, 13894, 1192, 2865, 2846, 3133, 1357, 1915, 1281, 1111, 1700, 2904, 9033, 1158, 1408, 25208, 28896, 16790, 23384, 176, 15393, 1125, 2797, 6389, 18337, 1227, 6973, 121, 32001, 488, 106, 32000, 20036, 106, 2029, 1132, 2549, 1810, 1186, 27118, 2734, 1859, 1299, 1318, 488, 11363, 1125, 27542, 25019, 9005, 3247, 1197, 20403, 2068, 244, 1118, 1117, 22122, 22590, 1856, 1158, 6311, 1408, 3828, 1125, 1282, 2528, 21562, 1215, 1561, 27929, 1125, 488, 124, 488, 123, 128, 124, 7275, 125, 121, 3450, 2985, 12381, 1186, 488, 124, 130, 127, 124, 1215, 19063, 1153, 1233, 1356, 2241, 1643, 3837, 1304, 2029, 1132, 25019, 1299, 1996, 1291, 1303, 1125, 488, 127, 488, 125, 131, 126, 11411, 21469, 1189, 30987, 1125, 488, 125, 123, 123, 125, 121, 106, 106, 15539, 1299, 6967, 15550, 10019, 1188, 488, 128, 123, 2709, 1104, 1557, 1554, 1227, 3819, 11185, 1125, 1158, 4592, 1125, 1233, 1356, 2064, 1188, 488, 131, 123, 123, 2709, 1104, 1557, 1554, 1317, 18762, 13469, 12412, 1210, 5029, 1167, 1188, 488, 124, 488, 128, 123, 123, 2709, 1104, 1557, 1554, 1125, 2499, 2251, 6204, 6218, 2151, 4236, 1577, 1199, 1299, 1170, 2383, 26829, 2955, 1109, 2519, 10240, 1125, 488, 124, 488, 126, 124, 126, 23882, 25869, 1814, 1132, 25019, 1299, 1158, 17128, 3002, 10329, 1125, 1282, 249, 6204, 6280, 5735, 1878, 14504, 1188, 1318, 3110, 17361, 1416, 1439, 10019, 1835, 488, 124, 130, 129, 123, 1167, 488, 124, 130, 130, 128, 121, 106, 106, 224, 15051, 488, 106, 2029, 1132, 25019, 1299, 27495, 1856, 1189, 4779, 7993, 4601, 15257, 1167, 1856, 1189, 4779, 1125, 7252, 4578, 121, 3450, 9016, 1170, 3151, 2515, 3781, 2757, 488, 124, 132, 132, 125, 1256, 1170, 7674, 1167, 1158, 5219, 1125, 1909, 12532, 1125, 1127, 1657, 1653, 488, 124, 132, 132, 126, 119, 1207, 18928, 19018, 1300, 1814, 1132, 25019, 3647, 2457, 488, 128, 125, 2199, 1227, 5387, 11866, 1125, 27542, 25019, 3462, 17966, 4608, 1282, 249, 3476, 3997, 488, 132, 123, 2199, 1125, 1158, 5148, 1125, 2498, 9462, 7568, 1160, 1227, 6485, 20581, 1125, 1158, 12618, 121, 3559, 3247, 10604, 1167, 14211, 8469, 1227, 6485, 1197, 10934, 1304, 2029, 1132, 25019, 1299, 17350, 1125, 18025, 31136, 1158, 15238, 1167, 1158, 1618, 1178, 7314, 1197, 2164, 29282, 1125, 12618, 21170, 1167, 21647, 121, 1808, 3617, 1125, 2498, 1300, 23684, 1508, 3635, 1234, 1188, 488, 126, 129, 126, 1215, 27252, 1814, 4764, 2205, 4188, 8135, 14268, 1300, 23684, 1835, 488, 124, 132, 131, 131, 1167, 488, 124, 132, 132, 125, 10374, 1188, 22535, 1125, 1158, 12618, 1167, 1125, 1158, 17484, 1571, 1747, 186, 12041, 26560, 1188, 1996, 119, 1814, 1132, 25019, 1110, 13551, 1188, 2368, 27383, 1167, 2034, 1370, 9318, 1189, 6525, 4764, 4855, 1188, 22535, 28133, 121, 106, 106, 2809, 1195, 1128, 488, 106, 4455, 28735, 12841, 3802, 2137, 1300, 1814, 1132, 25019, 2604, 1129, 1125, 488, 126, 14130, 1188, 488, 129, 14130, 11781, 1309, 1207, 28735, 2063, 1117, 1613, 1104, 2368, 1416, 7198, 1396, 1129, 1835, 488, 129, 14130, 1167, 488, 124, 127, 14130, 121, 1808, 25183, 14159, 1894, 6352, 5906, 23131, 1186, 8468, 488, 131, 124, 5019, 11781, 1309, 1158, 24272, 1915, 1275, 2094, 1107, 488, 125, 126, 125, 5019, 1188, 16541, 3798, 1643, 12029, 8468, 1227, 10266, 1300, 23684, 1357, 2074, 1888, 11129, 1125, 1282, 24822, 7758, 2059, 1506, 120, 1182, 1299, 1186, 8468, 31612, 1188, 488, 125, 126, 7275, 7921, 3042, 1309, 1158, 1408, 3828, 12482, 1348, 28526, 1170, 488, 2585, 1170, 10266, 3618, 12669, 1318, 12029, 1125, 488, 131, 128, 7275, 7921, 121, 106, 106, 159, 1157, 2923, 488, 106, 6880, 11363, 16636, 1125, 1408, 1186, 1408, 1125, 10733, 1318, 1855, 8803, 28133, 1186, 1281, 9377, 1199, 1835, 2905, 2335, 1110, 14988, 23587, 1197, 26847, 3219, 11823, 2519, 2989, 1256, 1207, 7684, 9984, 1764, 2442, 1309, 2519, 3202, 1567, 3591, 1186, 2320, 7542, 1207, 2879, 20862, 121, 106, 106, 22498, 3111, 488, 106, 106, 3562, 5740, 1299, 25130, 15550, 1167, 16191, 1692, 2604, 1303, 4855, 1571, 5736, 1125, 2498, 1197, 25743, 1297, 1808, 2068, 244, 1261, 1346, 1158, 5740, 30530, 1197, 20403, 2068, 244, 1118, 1117, 22122, 19193, 3997, 488, 130, 2199, 1125, 1158, 5740, 19022, 11781, 1309, 1170, 4933, 1299, 20723, 5519, 1349, 6068, 1175, 124, 132, 24901, 1125, 14136, 3589, 27610, 1925, 1175, 124, 126, 31888, 1167, 1125, 16419, 190, 1175, 129, 124, 2199, 1576, 4511, 13533, 1309, 23684, 9924, 2519, 28896, 16790, 23384, 176, 28359, 1606, 2605, 11645, 1125, 1158, 13894, 1192, 2865, 2846, 3133, 1357, 1915, 1281, 1111, 1700, 2904, 9033, 1158, 1408, 25208, 28896, 16790, 23384, 176, 15393, 1125, 2797, 6389, 18337, 1227, 6973, 121, 106, 106, 158, 3249, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 2068, 25019, 106, 12253, 1197, 20403, 1197, 9864, 106, 27899, 179, 1478, 19800, 1141, 1122, 193, 106, 106, 28870, 5825, 488, 106, 106, 488, 7649, 1125, 1158, 3837, 1125, 1814, 1132, 25019, 488, 106, 106, 227, 1126, 1197, 20403, 2068, 244, 1118, 1117, 6542, 106, 227, 1126, 1125, 1282, 31383, 11752, 11190, 6973, 106, 227, 1126, 1125, 1158, 4592, 1125, 1233, 1356, 1149, 106, 227, 1126, 12381, 1186, 488, 124, 130, 127, 124, 106, 227, 1126, 1313, 1158, 3734, 1125, 30987, 1197, 2068, 244, 1118, 1117, 6542, 16341, 2137, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2029, 1132, 2549, 1810, 1186, 27118, 2734, 1859, 1299, 1318, 488, 11363, 1125, 27542, 25019, 9005, 3247, 1197, 20403, 2068, 244, 1118, 1117, 22122, 22590, 1856, 1158, 6311, 1408, 3828, 1125, 1282, 2528, 21562, 1215, 1561, 27929, 1125, 488, 124, 488, 123, 128, 124, 7275, 125, 121, 3450, 2985, 12381, 1186, 488, 124, 130, 127, 124, 1215, 19063, 1153, 1233, 1356, 2241, 1643, 3837, 1304, 2029, 1132, 25019, 1299, 1996, 1291, 1303, 1125, 488, 127, 488, 125, 131, 126, 11411, 21469, 1189, 30987, 1125, 488, 125, 123, 123, 125, 121, 106, 106, 15539, 1299, 6967, 15550, 10019, 1188, 488, 128, 123, 2709, 1104, 1557, 1554, 1227, 3819, 11185, 1125, 1158, 4592, 1125, 1233, 1356, 2064, 1188, 488, 131, 123, 123, 2709, 1104, 1557, 1554, 1317, 18762, 13469, 12412, 1210, 5029, 1167, 1188, 488, 124, 488, 128, 123, 123, 2709, 1104, 1557, 1554, 1125, 2499, 2251, 6204, 6218, 2151, 4236, 1577, 1199, 1299, 1170, 2383, 26829, 2955, 1109, 2519, 10240, 1125, 488, 124, 488, 126, 124, 126, 23882, 25869, 1814, 1132, 25019, 1299, 1158, 17128, 3002, 10329, 1125, 1282, 249, 6204, 6280, 5735, 1878, 14504, 1188, 1318, 3110, 17361, 1416, 1439, 10019, 1835, 488, 124, 130, 129, 123, 1167, 488, 124, 130, 130, 128, 121, 106, 106, 224, 15051, 488, 106, 2029, 1132, 25019, 1299, 27495, 1856, 1189, 4779, 7993, 4601, 15257, 1167, 1856, 1189, 4779, 1125, 7252, 4578, 121, 3450, 9016, 1170, 3151, 2515, 3781, 2757, 488, 124, 132, 132, 125, 1256, 1170, 7674, 1167, 1158, 5219, 1125, 1909, 12532, 1125, 1127, 1657, 1653, 488, 124, 132, 132, 126, 119, 1207, 18928, 19018, 1300, 1814, 1132, 25019, 3647, 2457, 488, 128, 125, 2199, 1227, 5387, 11866, 1125, 27542, 25019, 3462, 17966, 4608, 1282, 249, 3476, 3997, 488, 132, 123, 2199, 1125, 1158, 5148, 1125, 2498, 9462, 7568, 1160, 1227, 6485, 20581, 1125, 1158, 12618, 121, 3559, 3247, 10604, 1167, 14211, 8469, 1227, 6485, 1197, 10934, 1304, 2029, 1132, 25019, 1299, 17350, 1125, 18025, 31136, 1158, 15238, 1167, 1158, 1618, 1178, 7314, 1197, 2164, 29282, 1125, 12618, 21170, 1167, 21647, 121, 1808, 3617, 1125, 2498, 1300, 23684, 1508, 3635, 1234, 1188, 488, 126, 129, 126, 1215, 27252, 1814, 4764, 2205, 4188, 8135, 14268, 1300, 23684, 1835, 488, 124, 132, 131, 131, 1167, 488, 124, 132, 132, 125, 10374, 1188, 22535, 1125, 1158, 12618, 1167, 1125, 1158, 17484, 1571, 1747, 186, 12041, 26560, 1188, 1996, 119, 1814, 1132, 25019, 1110, 13551, 1188, 2368, 27383, 1167, 2034, 1370, 9318, 1189, 6525, 4764, 4855, 1188, 22535, 28133, 121, 106, 106, 2809, 1195, 1128, 488, 106, 4455, 28735, 12841, 3802, 2137, 1300, 1814, 1132, 25019, 2604, 1129, 1125, 488, 126, 14130, 1188, 488, 129, 14130, 11781, 1309, 1207, 28735, 2063, 1117, 1613, 1104, 2368, 1416, 7198, 1396, 1129, 1835, 488, 129, 14130, 1167, 488, 124, 127, 14130, 121, 1808, 25183, 14159, 1894, 6352, 5906, 23131, 1186, 8468, 488, 131, 124, 5019, 11781, 1309, 1158, 24272, 1915, 1275, 2094, 1107, 488, 125, 126, 125, 5019, 1188, 16541, 3798, 1643, 12029, 8468, 1227, 10266, 1300, 23684, 1357, 2074, 1888, 11129, 1125, 1282, 24822, 7758, 2059, 1506, 120, 1182, 1299, 1186, 8468, 31612, 1188, 488, 125, 126, 7275, 7921, 3042, 1309, 1158, 1408, 3828, 12482, 1348, 28526, 1170, 488, 2585, 1170, 10266, 3618, 12669, 1318, 12029, 1125, 488, 131, 128, 7275, 7921, 121, 106, 106, 159, 1157, 2923, 488, 106, 6880, 11363, 16636, 1125, 1408, 1186, 1408, 1125, 10733, 1318, 1855, 8803, 28133, 1186, 1281, 9377, 1199, 1835, 2905, 2335, 1110, 14988, 23587, 1197, 26847, 3219, 11823, 2519, 2989, 1256, 1207, 7684, 9984, 1764, 2442, 1309, 2519, 3202, 1567, 3591, 1186, 2320, 7542, 1207, 2879, 20862, 121, 106, 106, 22498, 3111, 488, 106, 106, 3562, 5740, 1299, 25130, 15550, 1167, 16191, 1692, 2604, 1303, 4855, 1571, 5736, 1125, 2498, 1197, 25743, 1297, 1808, 2068, 244, 1261, 1346, 1158, 5740, 30530, 1197, 20403, 2068, 244, 1118, 1117, 22122, 19193, 3997, 488, 130, 2199, 1125, 1158, 5740, 19022, 11781, 1309, 1170, 4933, 1299, 20723, 5519, 1349, 6068, 1175, 124, 132, 24901, 1125, 14136, 3589, 27610, 1925, 1175, 124, 126, 31888, 1167, 1125, 16419, 190, 1175, 129, 124, 2199, 1576, 4511, 13533, 1309, 23684, 9924, 2519, 28896, 16790, 23384, 176, 28359, 1606, 2605, 11645, 1125, 1158, 13894, 1192, 2865, 2846, 3133, 1357, 1915, 1281, 1111, 1700, 2904, 9033, 1158, 1408, 25208, 28896, 16790, 23384, 176, 15393, 1125, 2797, 6389, 18337, 1227, 6973, 121, 106, 106, 158, 3249, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 2068, 25019, 106, 12253, 1197, 20403, 1197, 9864, 106, 27899, 179, 1478, 19800, 1141, 1122, 193, 106, 106, 28870, 5825, 488, 106, 106, 488, 7649, 1125, 1158, 3837, 1125, 1814, 1132, 25019, 488, 106, 106, 227, 1126, 1197, 20403, 2068, 244, 1118, 1117, 6542, 106, 227, 1126, 1125, 1282, 31383, 11752, 11190, 6973, 106, 227, 1126, 1125, 1158, 4592, 1125, 1233, 1356, 1149, 106, 227, 1126, 12381, 1186, 488, 124, 130, 127, 124, 106, 227, 1126, 1313, 1158, 3734, 1125, 30987, 1197, 2068, 244, 1118, 1117, 6542, 16341, 2137, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 152, 1203, 1310, 6965, 1299, 1318, 3385, 1335, 14272, 1357, 1110, 1594, 1281, 1205, 1126, 1188, 27559, 7776, 1149, 4414, 4466, 14590, 5736, 1508, 5753, 6726, 1197, 15417, 1167, 1207, 19642, 5097, 1297, 106, 106, 1686, 1173, 1660, 5650, 2399, 1299, 15981, 184, 1199, 27495, 1734, 2399, 30816, 1189, 2511, 2510, 7993, 3785, 1430, 1300, 1207, 15417, 1197, 24568, 5179, 1655, 1297, 4466, 9799, 1508, 3126, 1234, 1215, 1125, 2510, 192, 1694, 1642, 1630, 3392, 7706, 1309, 1158, 4553, 1273, 4289, 9895, 1496, 1158, 29083, 1150, 1285, 1282, 6656, 158, 1192, 14797, 1170, 20052, 3509, 1439, 1362, 2743, 1643, 14886, 1148, 4289, 9895, 1496, 1325, 1221, 172, 23501, 1930, 119, 1207, 22334, 1125, 26195, 1172, 1272, 1321, 1255, 3307, 2442, 1309, 1256, 5610, 4170, 1346, 29327, 1167, 28925, 28354, 1457, 106, 106, 155, 30550, 1207, 16874, 1430, 1125, 15417, 1197, 24568, 5179, 1655, 1285, 1527, 1251, 1110, 1197, 9799, 1188, 12218, 1300, 11002, 8228, 1300, 7151, 1230, 7471, 4651, 2345, 16274, 1207, 1191, 2532, 2339, 10086, 2410, 1188, 19543, 1215, 1170, 4825, 3683, 2442, 1309, 1594, 2958, 5026, 7112, 4466, 22737, 1346, 1357, 1996, 193, 2457, 1823, 1931, 1234, 1313, 7762, 13809, 5542, 4698, 1203, 1310, 6965, 28622, 9795, 1125, 5413, 1346, 16422, 1310, 6965, 29288, 16422, 1310, 6965, 9309, 1167, 16622, 16422, 1310, 6965, 7252, 1125, 11373, 1167, 16422, 1310, 6965, 16595, 1132, 1496, 9662, 1558, 1610, 1835, 5050, 145, 488, 129, 123, 27652, 1167, 5050, 145, 488, 124, 123, 123, 27652, 121, 488, 106, 6880, 1849, 1327, 24207, 1299, 2445, 1332, 1117, 1672, 1313, 5610, 13809, 1257, 1207, 6048, 5751, 189, 10478, 6523, 1158, 13000, 3691, 1571, 5664, 1462, 1167, 1207, 19642, 1125, 7727, 1785, 1313, 1207, 24041, 2094, 1764, 1197, 2873, 11968, 1457, 106, 106, 152, 1203, 1310, 6965, 21635, 1909, 5142, 23545, 1313, 1170, 4394, 1125, 1909, 5115, 18104, 21124, 1167, 4679, 6042, 17292, 1357, 2004, 1197, 20006, 31904, 1723, 2445, 1125, 2205, 10630, 13157, 1313, 1207, 11733, 13441, 9060, 1188, 1158, 4351, 1197, 25508, 1313, 1170, 7045, 1167, 1313, 1158, 2180, 7234, 6957, 488, 106, 106, 151, 1354, 16718, 7649, 1125, 1158, 3385, 16422, 1310, 6965, 488, 106, 106, 15759, 2561, 1125, 2882, 4716, 1594, 9209, 1186, 13111, 29562, 4716, 1594, 9209, 1313, 1170, 17578, 1125, 1233, 5020, 121, 32001, 488, 106, 32000, 20036, 106, 152, 1203, 1310, 6965, 1299, 1318, 3385, 19130, 1357, 1110, 1594, 9209, 1188, 27559, 7776, 1149, 4414, 14301, 14590, 5736, 1508, 5753, 6726, 1197, 15417, 1167, 1207, 19642, 6331, 121, 106, 106, 1686, 1173, 1660, 5650, 2399, 1299, 8105, 27495, 1734, 2399, 30816, 1189, 2511, 2510, 7993, 3785, 1430, 1300, 1207, 15417, 1197, 24568, 5179, 1655, 1297, 14301, 9799, 1508, 3126, 1234, 1215, 1125, 6344, 28396, 3392, 8303, 1309, 1158, 4553, 1273, 4289, 9895, 1496, 1158, 29083, 1150, 1285, 1282, 6656, 158, 1192, 14797, 1170, 20052, 13111, 1362, 2743, 1643, 14886, 1148, 4289, 9895, 1496, 1325, 1221, 172, 23501, 1930, 119, 1207, 22334, 1125, 26195, 1172, 1272, 1321, 1255, 3307, 2442, 1309, 1256, 5610, 4170, 1346, 29327, 1167, 28925, 28354, 1457, 106, 106, 155, 30550, 1207, 16874, 1430, 1125, 15417, 1197, 24568, 5179, 1655, 1285, 1527, 1251, 1110, 1197, 9799, 1188, 12218, 1300, 11002, 8228, 1300, 11189, 121, 4651, 2345, 18741, 1207, 13157, 10086, 2410, 1188, 19543, 1215, 1170, 4825, 3683, 2442, 1309, 1594, 7727, 7112, 4466, 5664, 12581, 1357, 2830, 1823, 1931, 1234, 1313, 7762, 13809, 5542, 4698, 1203, 1310, 6965, 28622, 9795, 1125, 25912, 16422, 1310, 6965, 29288, 16422, 1310, 6965, 9309, 1167, 16622, 16422, 1310, 6965, 7252, 1125, 11373, 1167, 16422, 1310, 6965, 16595, 1132, 1496, 9662, 1129, 1835, 5050, 145, 488, 129, 123, 27652, 1167, 5050, 145, 488, 124, 123, 123, 27652, 121, 106, 6880, 4574, 1299, 2445, 6103, 1313, 5610, 13809, 1257, 1207, 6048, 5751, 189, 10478, 3301, 1158, 13000, 3691, 1571, 5664, 1462, 1167, 1207, 19642, 1125, 18343, 1313, 1207, 24041, 2094, 1764, 1197, 2873, 11968, 1457, 106, 106, 152, 1203, 1310, 6965, 21635, 1909, 5142, 23545, 1313, 1170, 4394, 1125, 1909, 7645, 21124, 1167, 7645, 17292, 1357, 2004, 1197, 20006, 31904, 1723, 2445, 1125, 2205, 10630, 13157, 1313, 1207, 11733, 13441, 9060, 1188, 1158, 4351, 1197, 25508, 1313, 1170, 7045, 1167, 1313, 1158, 2180, 7234, 6957, 106, 106, 151, 1354, 16718, 488, 106, 7649, 1125, 1158, 3385, 16422, 1310, 6965, 106, 106, 15759, 2561, 1125, 2882, 4716, 1594, 9209, 1186, 13111, 106, 15759, 2561, 4716, 1594, 9209, 1313, 1170, 17578, 1125, 1233, 5020, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 152, 1203, 1310, 6965, 1299, 1318, 3385, 19130, 1357, 1110, 1594, 9209, 1188, 27559, 7776, 1149, 4414, 14301, 14590, 5736, 1508, 5753, 6726, 1197, 15417, 1167, 1207, 19642, 6331, 121, 106, 106, 1686, 1173, 1660, 5650, 2399, 1299, 8105, 27495, 1734, 2399, 30816, 1189, 2511, 2510, 7993, 3785, 1430, 1300, 1207, 15417, 1197, 24568, 5179, 1655, 1297, 14301, 9799, 1508, 3126, 1234, 1215, 1125, 6344, 28396, 3392, 8303, 1309, 1158, 4553, 1273, 4289, 9895, 1496, 1158, 29083, 1150, 1285, 1282, 6656, 158, 1192, 14797, 1170, 20052, 13111, 1362, 2743, 1643, 14886, 1148, 4289, 9895, 1496, 1325, 1221, 172, 23501, 1930, 119, 1207, 22334, 1125, 26195, 1172, 1272, 1321, 1255, 3307, 2442, 1309, 1256, 5610, 4170, 1346, 29327, 1167, 28925, 28354, 1457, 106, 106, 155, 30550, 1207, 16874, 1430, 1125, 15417, 1197, 24568, 5179, 1655, 1285, 1527, 1251, 1110, 1197, 9799, 1188, 12218, 1300, 11002, 8228, 1300, 11189, 121, 4651, 2345, 18741, 1207, 13157, 10086, 2410, 1188, 19543, 1215, 1170, 4825, 3683, 2442, 1309, 1594, 7727, 7112, 4466, 5664, 12581, 1357, 2830, 1823, 1931, 1234, 1313, 7762, 13809, 5542, 4698, 1203, 1310, 6965, 28622, 9795, 1125, 25912, 16422, 1310, 6965, 29288, 16422, 1310, 6965, 9309, 1167, 16622, 16422, 1310, 6965, 7252, 1125, 11373, 1167, 16422, 1310, 6965, 16595, 1132, 1496, 9662, 1129, 1835, 5050, 145, 488, 129, 123, 27652, 1167, 5050, 145, 488, 124, 123, 123, 27652, 121, 106, 6880, 4574, 1299, 2445, 6103, 1313, 5610, 13809, 1257, 1207, 6048, 5751, 189, 10478, 3301, 1158, 13000, 3691, 1571, 5664, 1462, 1167, 1207, 19642, 1125, 18343, 1313, 1207, 24041, 2094, 1764, 1197, 2873, 11968, 1457, 106, 106, 152, 1203, 1310, 6965, 21635, 1909, 5142, 23545, 1313, 1170, 4394, 1125, 1909, 7645, 21124, 1167, 7645, 17292, 1357, 2004, 1197, 20006, 31904, 1723, 2445, 1125, 2205, 10630, 13157, 1313, 1207, 11733, 13441, 9060, 1188, 1158, 4351, 1197, 25508, 1313, 1170, 7045, 1167, 1313, 1158, 2180, 7234, 6957, 106, 106, 151, 1354, 16718, 488, 106, 7649, 1125, 1158, 3385, 16422, 1310, 6965, 106, 106, 15759, 2561, 1125, 2882, 4716, 1594, 9209, 1186, 13111, 106, 15759, 2561, 4716, 1594, 9209, 1313, 1170, 17578, 1125, 1233, 5020, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 147, 5216, 10779, 1148, 3699, 19208, 1325, 1203, 25467, 18284, 5252, 1188, 1645, 2094, 1186, 488, 124, 131, 127, 123, 1167, 19956, 1186, 488, 124, 132, 124, 125, 119, 1299, 1189, 18866, 20120, 1125, 21396, 7808, 17285, 106, 106, 5164, 8135, 8105, 1844, 9156, 1856, 18866, 1125, 26556, 17104, 1167, 5402, 1214, 26548, 106, 106, 5164, 3618, 7508, 1561, 3968, 1188, 31805, 29754, 1197, 14948, 120, 8752, 1125, 16241, 121, 106, 106, 5164, 3618, 1594, 18786, 1188, 13361, 10708, 14867, 5820, 1125, 14097, 9649, 4280, 488, 129, 132, 119, 31600, 1125, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 119, 1317, 488, 125, 131, 1167, 488, 126, 123, 5820, 10681, 1188, 1209, 195, 10708, 18786, 16098, 1215, 1282, 23821, 15357, 14363, 7445, 11374, 2971, 1130, 1186, 488, 124, 131, 131, 132, 1256, 1282, 9062, 1125, 2918, 1252, 3567, 195, 14359, 1620, 3296, 10984, 18786, 1125, 3598, 2985, 11261, 244, 1215, 1252, 3567, 195, 14359, 6647, 1188, 3171, 14635, 1257, 1317, 18866, 7422, 8080, 1119, 1125, 16888, 15933, 1175, 124, 131, 126, 130, 120, 124, 131, 132, 123, 116, 2079, 488, 124, 131, 132, 126, 1167, 1188, 10145, 10577, 120, 1326, 1343, 1112, 1306, 5216, 10779, 1148, 1325, 1203, 25467, 1494, 11779, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 1576, 106, 106, 5164, 1288, 3492, 1382, 1170, 1776, 2587, 1469, 1170, 18866, 2571, 13112, 1108, 1325, 1203, 25467, 1494, 7194, 186, 1346, 488, 124, 131, 123, 127, 1323, 1293, 8255, 488, 124, 131, 130, 126, 1576, 106, 106, 141, 13449, 488, 106, 13745, 1973, 1197, 20153, 1125, 6843, 3988, 12770, 1595, 3988, 11941, 3988, 9427, 1278, 1167, 30726, 4134, 1197, 14635, 7184, 1701, 6581, 1234, 1317, 25424, 1197, 9292, 1484, 26076, 21735, 1473, 1170, 488, 124, 1107, 1423, 2433, 6721, 3506, 15422, 29754, 1125, 13391, 1167, 1125, 12770, 1595, 3988, 7676, 1197, 14635, 15173, 7676, 5277, 1197, 14948, 120, 1516, 1285, 6721, 488, 124, 131, 129, 130, 119, 5701, 488, 125, 124, 128, 121, 106, 3454, 1315, 1232, 2252, 1518, 26206, 1243, 2495, 2643, 2461, 1105, 11486, 2687, 4807, 2430, 1120, 2021, 15076, 1192, 14050, 119, 7674, 488, 124, 123, 119, 29852, 1141, 1518, 5781, 3378, 8980, 4357, 1228, 1346, 1518, 11944, 121, 1173, 2733, 6760, 14726, 119, 5701, 488, 129, 127, 131, 106, 1325, 1415, 184, 14187, 1252, 1333, 1228, 186, 1167, 1325, 1415, 184, 3341, 1252, 1333, 1228, 2086, 27168, 5905, 1161, 1135, 8996, 2323, 7808, 1310, 10154, 2563, 488, 124, 132, 131, 124, 121, 106, 106, 20634, 106, 106, 28870, 5825, 488, 106, 106, 15884, 1343, 1112, 20120, 1227, 26851, 6298, 106, 15884, 1343, 1112, 20120, 1227, 23841, 6298, 106, 153, 3400, 1188, 1645, 2094, 106, 153, 3400, 1186, 488, 124, 131, 127, 123, 106, 31133, 1467, 1186, 488, 124, 132, 124, 125, 32001, 488, 106, 32000, 20036, 106, 114, 147, 5216, 10779, 1148, 3699, 19208, 1325, 1203, 25467, 18284, 5252, 1188, 1645, 2094, 1186, 488, 124, 131, 127, 123, 1167, 19956, 1186, 488, 124, 132, 124, 125, 119, 1299, 1189, 18866, 20120, 1125, 21396, 7808, 17285, 106, 106, 5164, 8135, 8105, 1844, 9156, 1856, 18866, 1125, 26556, 17104, 1167, 5402, 1214, 26548, 106, 106, 5164, 2368, 4973, 19778, 1188, 31805, 29754, 1197, 14948, 120, 8752, 1125, 16241, 121, 106, 106, 5164, 3618, 1594, 18786, 1188, 13361, 10708, 14867, 5820, 1125, 14097, 9649, 4280, 488, 129, 132, 119, 31600, 1125, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 119, 1317, 488, 125, 131, 1167, 488, 126, 123, 5820, 10681, 1188, 1209, 195, 10708, 18786, 16098, 1215, 1282, 23821, 15357, 14363, 7445, 11374, 2971, 1130, 1186, 488, 124, 131, 131, 132, 1256, 1282, 9062, 1125, 2918, 1252, 3567, 195, 14359, 1620, 3296, 10984, 18786, 1125, 3598, 2985, 11261, 244, 1215, 1252, 3567, 195, 14359, 6647, 1188, 3171, 14635, 1257, 1317, 18866, 7422, 8080, 1119, 1125, 16888, 15933, 1175, 124, 131, 126, 130, 120, 124, 131, 132, 123, 116, 2079, 488, 124, 131, 132, 126, 1167, 1188, 10145, 10577, 120, 1326, 1343, 1112, 1306, 5216, 10779, 1148, 1325, 1203, 25467, 1494, 11779, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 1576, 106, 106, 5164, 1288, 3492, 1382, 1170, 1776, 2587, 1469, 1170, 18866, 2571, 13112, 1108, 1325, 1203, 25467, 1494, 7194, 186, 1346, 488, 124, 131, 123, 127, 1323, 1293, 8255, 488, 124, 131, 130, 126, 1576, 106, 106, 141, 13449, 488, 106, 13745, 1973, 1197, 20153, 1125, 6843, 3988, 12770, 1595, 3988, 11941, 3988, 9427, 1278, 1167, 30726, 4134, 1197, 14635, 7184, 1701, 6581, 1234, 1317, 25424, 1197, 9292, 1484, 26076, 21735, 1473, 1170, 488, 124, 1107, 1423, 2433, 6721, 3506, 15422, 29754, 1125, 13391, 1167, 1125, 12770, 1595, 3988, 7676, 1197, 14635, 15173, 7676, 5277, 1197, 14948, 120, 1516, 1285, 6721, 488, 124, 131, 129, 130, 119, 5701, 488, 125, 124, 128, 121, 106, 3454, 1315, 1232, 2252, 1518, 26206, 1243, 2495, 2643, 2461, 1105, 11486, 2687, 4807, 2430, 1120, 2021, 15076, 1192, 14050, 119, 7674, 488, 124, 123, 119, 29852, 1141, 1518, 5781, 3378, 8980, 4357, 1228, 1346, 1518, 11944, 121, 1173, 2733, 6760, 14726, 119, 5701, 488, 129, 127, 131, 106, 1325, 1415, 184, 14187, 1252, 1333, 1228, 186, 1167, 1325, 1415, 184, 3341, 1252, 1333, 1228, 2086, 27168, 5905, 1161, 1135, 8996, 2323, 7808, 1310, 10154, 2563, 488, 124, 132, 131, 124, 121, 106, 106, 20634, 106, 106, 28870, 5825, 488, 106, 106, 15884, 1343, 1112, 20120, 1227, 26851, 6298, 106, 15884, 1343, 1112, 20120, 1227, 23841, 6298, 106, 153, 3400, 1188, 1645, 2094, 106, 153, 3400, 1186, 488, 124, 131, 127, 123, 106, 31133, 1467, 1186, 488, 124, 132, 124, 125, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 147, 5216, 10779, 1148, 3699, 19208, 1325, 1203, 25467, 18284, 5252, 1188, 1645, 2094, 1186, 488, 124, 131, 127, 123, 1167, 19956, 1186, 488, 124, 132, 124, 125, 119, 1299, 1189, 18866, 20120, 1125, 21396, 7808, 17285, 106, 106, 5164, 8135, 8105, 1844, 9156, 1856, 18866, 1125, 26556, 17104, 1167, 5402, 1214, 26548, 106, 106, 5164, 2368, 4973, 19778, 1188, 31805, 29754, 1197, 14948, 120, 8752, 1125, 16241, 121, 106, 106, 5164, 3618, 1594, 18786, 1188, 13361, 10708, 14867, 5820, 1125, 14097, 9649, 4280, 488, 129, 132, 119, 31600, 1125, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 119, 1317, 488, 125, 131, 1167, 488, 126, 123, 5820, 10681, 1188, 1209, 195, 10708, 18786, 16098, 1215, 1282, 23821, 15357, 14363, 7445, 11374, 2971, 1130, 1186, 488, 124, 131, 131, 132, 1256, 1282, 9062, 1125, 2918, 1252, 3567, 195, 14359, 1620, 3296, 10984, 18786, 1125, 3598, 2985, 11261, 244, 1215, 1252, 3567, 195, 14359, 6647, 1188, 3171, 14635, 1257, 1317, 18866, 7422, 8080, 1119, 1125, 16888, 15933, 1175, 124, 131, 126, 130, 120, 124, 131, 132, 123, 116, 2079, 488, 124, 131, 132, 126, 1167, 1188, 10145, 10577, 120, 1326, 1343, 1112, 1306, 5216, 10779, 1148, 1325, 1203, 25467, 1494, 11779, 488, 124, 131, 132, 130, 1188, 488, 124, 132, 124, 125, 1576, 106, 106, 5164, 1288, 3492, 1382, 1170, 1776, 2587, 1469, 1170, 18866, 2571, 13112, 1108, 1325, 1203, 25467, 1494, 7194, 186, 1346, 488, 124, 131, 123, 127, 1323, 1293, 8255, 488, 124, 131, 130, 126, 1576, 106, 106, 141, 13449, 488, 106, 13745, 1973, 1197, 20153, 1125, 6843, 3988, 12770, 1595, 3988, 11941, 3988, 9427, 1278, 1167, 30726, 4134, 1197, 14635, 7184, 1701, 6581, 1234, 1317, 25424, 1197, 9292, 1484, 26076, 21735, 1473, 1170, 488, 124, 1107, 1423, 2433, 6721, 3506, 15422, 29754, 1125, 13391, 1167, 1125, 12770, 1595, 3988, 7676, 1197, 14635, 15173, 7676, 5277, 1197, 14948, 120, 1516, 1285, 6721, 488, 124, 131, 129, 130, 119, 5701, 488, 125, 124, 128, 121, 106, 3454, 1315, 1232, 2252, 1518, 26206, 1243, 2495, 2643, 2461, 1105, 11486, 2687, 4807, 2430, 1120, 2021, 15076, 1192, 14050, 119, 7674, 488, 124, 123, 119, 29852, 1141, 1518, 5781, 3378, 8980, 4357, 1228, 1346, 1518, 11944, 121, 1173, 2733, 6760, 14726, 119, 5701, 488, 129, 127, 131, 106, 1325, 1415, 184, 14187, 1252, 1333, 1228, 186, 1167, 1325, 1415, 184, 3341, 1252, 1333, 1228, 2086, 27168, 5905, 1161, 1135, 8996, 2323, 7808, 1310, 10154, 2563, 488, 124, 132, 131, 124, 121, 106, 106, 20634, 106, 106, 28870, 5825, 488, 106, 106, 15884, 1343, 1112, 20120, 1227, 26851, 6298, 106, 15884, 1343, 1112, 20120, 1227, 23841, 6298, 106, 153, 3400, 1188, 1645, 2094, 106, 153, 3400, 1186, 488, 124, 131, 127, 123, 106, 31133, 1467, 1186, 488, 124, 132, 124, 125, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 143, 1376, 1172, 1299, 1318, 17023, 21288, 1125, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 3615, 1506, 1125, 23684, 1125, 14436, 11715, 116, 1571, 8184, 12288, 12427, 1170, 1685, 1462, 1206, 1160, 1125, 488, 125, 123, 123, 130, 119, 1561, 5740, 2368, 14186, 1188, 488, 125, 129, 488, 128, 130, 128, 4393, 5996, 106, 106, 144, 174, 1190, 1157, 3590, 1232, 488, 106, 106, 143, 1376, 1172, 1299, 1318, 9781, 28133, 13565, 1256, 2008, 1975, 1554, 2687, 1366, 2252, 1357, 1996, 1196, 1823, 1152, 1153, 1313, 1207, 1127, 1201, 2736, 2570, 8529, 1457, 1808, 1975, 1554, 2687, 1366, 2252, 1508, 1904, 4169, 1835, 2572, 184, 1650, 1167, 2798, 119, 1469, 1170, 5146, 1304, 12838, 1430, 1835, 3141, 1167, 2738, 121, 106, 106, 10188, 1475, 1242, 1591, 488, 106, 143, 1376, 1172, 1299, 1994, 3533, 6657, 1186, 488, 128, 124, 3688, 1475, 1775, 1257, 106, 106, 8044, 2300, 1535, 1224, 106, 106, 2439, 3907, 1398, 106, 106, 28870, 4682, 1245, 1104, 488, 106, 157, 11394, 3543, 1267, 2635, 106, 6090, 1419, 1160, 1197, 31484, 1125, 488, 125, 123, 123, 123, 106, 6090, 25777, 1430, 1125, 1158, 25174, 145, 1256, 31484, 106, 106, 152, 6432, 1132, 21288, 1313, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 32001, 488, 106, 32000, 20036, 106, 114, 143, 1376, 1172, 1299, 1318, 23361, 1125, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 3615, 1506, 1125, 23684, 1125, 14436, 11715, 116, 1571, 8184, 12288, 12427, 1170, 30987, 1125, 488, 125, 123, 123, 130, 119, 1561, 5740, 2368, 14186, 1188, 488, 125, 129, 488, 128, 130, 128, 4393, 5996, 106, 106, 144, 174, 1190, 1157, 2923, 488, 106, 106, 143, 1376, 1172, 1299, 1318, 9781, 28133, 13565, 1256, 1909, 1975, 1554, 2687, 1366, 2252, 1357, 2830, 1823, 1152, 1153, 1313, 1207, 1127, 1201, 4680, 8529, 1457, 1808, 1975, 1554, 2687, 1366, 2252, 1508, 1904, 4169, 1835, 2578, 1167, 2798, 119, 1469, 1170, 5146, 1304, 12838, 1430, 1835, 3141, 1167, 2738, 121, 106, 106, 10188, 1475, 1775, 488, 106, 143, 1376, 1172, 1299, 1994, 3533, 6657, 1186, 488, 128, 124, 3688, 1475, 1775, 1257, 106, 106, 10853, 106, 106, 2439, 17935, 106, 106, 28870, 5825, 488, 106, 157, 11394, 3543, 26071, 106, 6090, 1811, 1160, 1197, 31484, 1125, 488, 125, 123, 123, 123, 106, 6090, 25777, 1430, 1125, 1158, 25174, 145, 1256, 31484, 106, 106, 152, 6432, 1902, 1313, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 143, 1376, 1172, 1299, 1318, 23361, 1125, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 3615, 1506, 1125, 23684, 1125, 14436, 11715, 116, 1571, 8184, 12288, 12427, 1170, 30987, 1125, 488, 125, 123, 123, 130, 119, 1561, 5740, 2368, 14186, 1188, 488, 125, 129, 488, 128, 130, 128, 4393, 5996, 106, 106, 144, 174, 1190, 1157, 2923, 488, 106, 106, 143, 1376, 1172, 1299, 1318, 9781, 28133, 13565, 1256, 1909, 1975, 1554, 2687, 1366, 2252, 1357, 2830, 1823, 1152, 1153, 1313, 1207, 1127, 1201, 4680, 8529, 1457, 1808, 1975, 1554, 2687, 1366, 2252, 1508, 1904, 4169, 1835, 2578, 1167, 2798, 119, 1469, 1170, 5146, 1304, 12838, 1430, 1835, 3141, 1167, 2738, 121, 106, 106, 10188, 1475, 1775, 488, 106, 143, 1376, 1172, 1299, 1994, 3533, 6657, 1186, 488, 128, 124, 3688, 1475, 1775, 1257, 106, 106, 10853, 106, 106, 2439, 17935, 106, 106, 28870, 5825, 488, 106, 157, 11394, 3543, 26071, 106, 6090, 1811, 1160, 1197, 31484, 1125, 488, 125, 123, 123, 123, 106, 6090, 25777, 1430, 1125, 1158, 25174, 145, 1256, 31484, 106, 106, 152, 6432, 1902, 1313, 1158, 10660, 1125, 1173, 1500, 1307, 1105, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 161, 1176, 1199, 172, 19751, 119, 7271, 2500, 9918, 2290, 1170, 1874, 1125, 26428, 1244, 1227, 22728, 1142, 1410, 1232, 7129, 3079, 1249, 119, 1299, 1189, 2929, 1125, 4742, 27233, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 106, 106, 2606, 488, 125, 124, 2578, 488, 125, 123, 124, 127, 119, 1170, 26428, 1244, 1227, 22728, 6152, 2855, 1755, 186, 1352, 1176, 1199, 172, 1167, 5614, 175, 1379, 6506, 2004, 16752, 1197, 6314, 1256, 1189, 4742, 1188, 10395, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 1808, 6314, 10130, 1129, 1317, 2864, 2069, 2207, 25715, 1170, 23943, 1227, 22728, 1142, 1167, 1170, 23943, 1125, 1158, 1200, 21165, 2442, 10440, 14996, 13701, 1186, 13502, 11755, 22310, 7328, 488, 126, 488, 123, 123, 123, 1188, 488, 128, 488, 123, 123, 123, 6374, 17292, 1167, 1915, 6621, 1189, 4742, 15945, 3125, 1167, 1197, 6766, 1227, 4742, 6322, 121, 106, 106, 2606, 488, 124, 123, 2829, 488, 125, 123, 124, 128, 119, 5614, 175, 1379, 6506, 1110, 9053, 1197, 25248, 23849, 1585, 1785, 1256, 1189, 4742, 15945, 3125, 2081, 19830, 3502, 106, 106, 6880, 5965, 1110, 1913, 17869, 1303, 2519, 24204, 27215, 2792, 16147, 1186, 488, 125, 123, 124, 131, 1571, 5915, 1430, 2981, 1717, 2519, 24204, 12135, 488, 125, 123, 125, 126, 121, 32001, 488, 106, 32000, 20036, 106, 161, 1176, 1199, 172, 19751, 119, 7271, 2500, 9918, 2290, 1170, 1874, 1125, 26428, 1244, 1227, 22728, 1142, 1410, 1232, 7129, 3079, 1249, 1299, 1189, 2929, 1125, 4742, 27233, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 106, 106, 2606, 488, 125, 124, 2578, 488, 125, 123, 124, 127, 119, 1170, 26428, 1244, 1227, 22728, 6152, 2855, 1755, 186, 1352, 1176, 1199, 172, 1167, 5614, 175, 1379, 6506, 2004, 16752, 1197, 6314, 1256, 1189, 4742, 1188, 10395, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 1808, 6314, 10130, 1129, 1317, 2864, 2069, 2207, 25715, 1170, 23943, 1227, 22728, 1142, 1167, 1170, 23943, 1125, 1158, 1200, 21165, 2442, 10440, 14996, 13701, 1186, 13502, 11755, 22310, 7328, 488, 126, 121, 123, 123, 123, 1188, 488, 128, 121, 123, 123, 123, 6374, 17292, 1167, 1915, 6621, 1189, 4742, 15945, 3125, 1167, 1197, 6766, 1227, 4742, 6322, 121, 106, 106, 2606, 488, 124, 123, 2829, 488, 125, 123, 124, 128, 119, 5614, 175, 1379, 6506, 1110, 9053, 1197, 25248, 23849, 1585, 1785, 1256, 1189, 4742, 15945, 3125, 2081, 19830, 3502, 106, 106, 6880, 5965, 1110, 1913, 17869, 1303, 2519, 24204, 27215, 2792, 16147, 1186, 488, 125, 123, 124, 131, 1571, 5915, 1430, 2981, 1717, 2519, 24204, 12135, 488, 125, 123, 125, 126, 121, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 142, 1187, 1244, 1227, 22728, 1142, 106, 2951, 174, 1188, 10395, 106, 2951, 174, 1125, 23013, 1317, 9671, 1460, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 161, 1176, 1199, 172, 19751, 119, 7271, 2500, 9918, 2290, 1170, 1874, 1125, 26428, 1244, 1227, 22728, 1142, 1410, 1232, 7129, 3079, 1249, 1299, 1189, 2929, 1125, 4742, 27233, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 106, 106, 2606, 488, 125, 124, 2578, 488, 125, 123, 124, 127, 119, 1170, 26428, 1244, 1227, 22728, 6152, 2855, 1755, 186, 1352, 1176, 1199, 172, 1167, 5614, 175, 1379, 6506, 2004, 16752, 1197, 6314, 1256, 1189, 4742, 1188, 10395, 1188, 1266, 1277, 2971, 29485, 1516, 1810, 1317, 9671, 7165, 1808, 6314, 10130, 1129, 1317, 2864, 2069, 2207, 25715, 1170, 23943, 1227, 22728, 1142, 1167, 1170, 23943, 1125, 1158, 1200, 21165, 2442, 10440, 14996, 13701, 1186, 13502, 11755, 22310, 7328, 488, 126, 121, 123, 123, 123, 1188, 488, 128, 121, 123, 123, 123, 6374, 17292, 1167, 1915, 6621, 1189, 4742, 15945, 3125, 1167, 1197, 6766, 1227, 4742, 6322, 121, 106, 106, 2606, 488, 124, 123, 2829, 488, 125, 123, 124, 128, 119, 5614, 175, 1379, 6506, 1110, 9053, 1197, 25248, 23849, 1585, 1785, 1256, 1189, 4742, 15945, 3125, 2081, 19830, 3502, 106, 106, 6880, 5965, 1110, 1913, 17869, 1303, 2519, 24204, 27215, 2792, 16147, 1186, 488, 125, 123, 124, 131, 1571, 5915, 1430, 2981, 1717, 2519, 24204, 12135, 488, 125, 123, 125, 126, 121, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 142, 1187, 1244, 1227, 22728, 1142, 106, 2951, 174, 1188, 10395, 106, 2951, 174, 1125, 23013, 1317, 9671, 1460, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 155, 7643, 182, 1173, 3205, 186, 1299, 1189, 4981, 24981, 4578, 18565, 1353, 1298, 5252, 1170, 488, 124, 130, 2749, 488, 124, 132, 130, 131, 1188, 1254, 173, 1172, 1246, 2036, 1768, 28160, 1317, 8536, 22704, 8297, 4974, 106, 106, 141, 11741, 106, 106, 1686, 488, 124, 132, 132, 126, 119, 1527, 18900, 1170, 20704, 1593, 1125, 4304, 172, 12704, 1469, 1158, 5266, 1227, 26635, 119, 1571, 17206, 1125, 16839, 1320, 180, 1266, 181, 1123, 1301, 1167, 6780, 1325, 1137, 3502, 6102, 244, 1188, 1266, 16784, 1527, 1299, 1268, 5791, 3672, 1318, 6586, 1188, 10796, 1233, 1227, 13054, 25823, 21156, 6982, 1440, 9251, 1186, 10665, 11438, 1527, 5464, 1245, 1188, 1266, 28856, 1768, 1844, 1909, 28407, 1186, 15696, 488, 124, 1186, 488, 124, 132, 132, 128, 1167, 18900, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 121, 106, 106, 152, 1132, 4818, 19657, 1527, 21180, 1170, 13054, 20502, 1167, 16773, 1170, 5878, 9400, 1125, 3676, 1319, 2006, 4909, 121, 1192, 4308, 1996, 1125, 2658, 1125, 5047, 1167, 1186, 2627, 6024, 1469, 1594, 23541, 4819, 1357, 2435, 7205, 1512, 1125, 9386, 1107, 1207, 1200, 1764, 1459, 5336, 1595, 9395, 1527, 1299, 1268, 5791, 1186, 3012, 488, 125, 123, 123, 125, 1188, 15439, 1452, 1575, 1186, 9640, 10041, 13870, 6132, 23688, 1594, 10562, 119, 1170, 5878, 1299, 1826, 1603, 192, 3502, 106, 106, 5164, 16773, 1215, 1158, 3011, 1170, 5878, 1561, 1118, 1331, 1108, 16003, 1306, 1142, 1132, 1248, 20728, 1217, 121, 1653, 488, 125, 123, 123, 126, 1527, 1299, 11833, 3649, 7216, 10651, 1304, 5675, 1112, 250, 1518, 1199, 1512, 4294, 182, 1120, 1576, 1768, 2827, 1849, 3042, 1561, 6841, 1186, 1645, 14691, 2944, 3365, 21180, 1188, 3631, 119, 1189, 1151, 1167, 11028, 1408, 14429, 1256, 7292, 1188, 1189, 5234, 6534, 10672, 1172, 1199, 1188, 15021, 5363, 121, 106, 106, 140, 2136, 1440, 6001, 9251, 1313, 1170, 24756, 1965, 1527, 16773, 1170, 16277, 1125, 30153, 7541, 1167, 1170, 5878, 1304, 4619, 143, 15040, 2621, 3365, 8137, 1188, 1281, 15991, 1186, 1222, 124, 121, 6982, 1189, 13867, 13341, 244, 1188, 1352, 240, 2495, 1896, 172, 1209, 11172, 1527, 1844, 1189, 30347, 2081, 7705, 9785, 1186, 2749, 488, 125, 123, 123, 129, 1317, 1325, 2314, 1390, 17295, 7879, 1357, 12242, 1370, 3042, 1186, 1222, 126, 121, 106, 106, 5164, 16773, 12048, 1170, 16277, 28721, 1108, 1167, 1170, 5878, 1125, 13272, 2194, 7224, 2461, 193, 29416, 1768, 20235, 488, 129, 176, 1227, 16277, 3615, 5540, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 116, 1167, 1281, 5916, 1214, 1256, 1158, 11609, 5806, 191, 5243, 488, 125, 123, 123, 129, 121, 106, 106, 20616, 4096, 106, 124, 132, 132, 128, 1257, 1198, 1396, 4260, 1671, 172, 1615, 244, 106, 124, 132, 132, 128, 120, 125, 123, 123, 123, 1257, 13054, 20502, 106, 124, 132, 132, 129, 120, 124, 132, 132, 130, 1257, 13054, 25823, 1438, 1233, 24174, 2657, 116, 106, 125, 123, 123, 123, 120, 1257, 3676, 1319, 2006, 4909, 106, 1342, 3435, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1257, 8175, 15439, 1452, 1575, 106, 125, 123, 123, 126, 120, 125, 123, 123, 128, 1257, 1165, 1651, 10631, 5407, 106, 125, 123, 123, 128, 2065, 1416, 121, 488, 125, 123, 123, 128, 1257, 1350, 10829, 15040, 2621, 106, 181, 6871, 488, 125, 123, 123, 129, 120, 1237, 2771, 488, 125, 123, 123, 130, 1257, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 193, 2194, 106, 1237, 2771, 488, 125, 123, 123, 130, 8740, 6871, 488, 125, 123, 123, 131, 1257, 14335, 16456, 175, 1259, 106, 181, 6871, 488, 125, 123, 123, 131, 120, 125, 123, 123, 131, 1257, 1405, 143, 18931, 1494, 1815, 7497, 106, 4087, 121, 488, 125, 123, 123, 131, 120, 125, 123, 123, 132, 1257, 1325, 1112, 195, 5523, 1192, 9983, 106, 106, 155, 26361, 106, 1428, 13200, 18565, 1353, 1298, 1175, 125, 132, 5266, 190, 1167, 488, 127, 1663, 4495, 1835, 488, 124, 132, 132, 130, 1167, 488, 125, 123, 123, 126, 121, 106, 161, 1262, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1186, 488, 125, 123, 123, 125, 1469, 1170, 26635, 121, 106, 161, 1262, 19495, 1197, 10765, 14143, 2097, 1125, 488, 125, 123, 123, 123, 1469, 1170, 26635, 121, 106, 161, 1262, 19495, 1125, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 1469, 1170, 13054, 1266, 28856, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 2749, 488, 124, 132, 130, 131, 1266, 3400, 1188, 1254, 173, 1172, 21123, 13320, 24981, 4578, 18565, 1353, 1298, 22672, 13461, 1460, 18565, 1353, 1298, 1321, 12590, 1227, 1198, 1396, 4260, 1671, 172, 1615, 244, 1321, 12590, 1227, 13054, 20502, 1321, 12590, 1227, 8175, 15439, 1452, 1575, 1321, 12590, 1227, 13054, 25823, 1438, 1321, 12590, 1227, 3676, 1319, 2006, 4909, 13054, 1321, 12590, 1125, 27542, 1306, 1142, 1132, 1321, 12590, 1227, 1165, 1651, 10631, 5407, 13054, 1321, 12590, 1227, 15021, 5363, 1165, 10083, 1321, 12590, 1125, 14097, 3104, 190, 1233, 150, 1321, 12590, 1227, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 9269, 1321, 12590, 1227, 1325, 1112, 195, 5523, 13054, 13320, 24981, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 123, 1321, 12590, 15953, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1125, 7711, 32001, 488, 106, 32000, 20036, 106, 155, 7643, 182, 1173, 3205, 186, 1299, 1189, 4981, 24981, 4578, 18565, 1353, 1298, 5252, 1170, 488, 488, 124, 130, 2749, 488, 124, 132, 130, 131, 1188, 1254, 173, 1172, 1246, 2036, 1768, 28160, 1317, 8536, 22704, 8297, 4974, 106, 106, 141, 11741, 488, 106, 106, 1686, 488, 124, 132, 132, 126, 119, 1527, 18900, 1170, 20704, 1593, 1125, 4304, 172, 12704, 1469, 1158, 5266, 1227, 26635, 119, 1571, 17206, 1125, 16839, 1320, 180, 1266, 181, 1123, 1301, 1167, 6780, 1325, 1137, 3502, 6102, 244, 1188, 1266, 16784, 1527, 1299, 1268, 5791, 3672, 1318, 6586, 1188, 10796, 1233, 1227, 13054, 25823, 21156, 6982, 1440, 9251, 1186, 21593, 1527, 5464, 1245, 1188, 1266, 28856, 1768, 1844, 1909, 28407, 1186, 15696, 488, 124, 1186, 488, 124, 132, 132, 128, 1167, 18900, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 121, 488, 106, 106, 152, 1132, 4818, 19657, 1527, 21180, 1170, 13054, 20502, 1167, 16773, 1170, 5878, 9400, 1125, 3676, 1319, 2006, 4909, 121, 1192, 4308, 1996, 1125, 2658, 1125, 5047, 1167, 1186, 2627, 6024, 1469, 1594, 23541, 4819, 1357, 2435, 7205, 1512, 1125, 9386, 1107, 1207, 1200, 1764, 1459, 5336, 1595, 9395, 1527, 1299, 1268, 5791, 1186, 3012, 488, 125, 123, 123, 125, 1188, 15439, 1452, 1575, 1186, 9640, 10041, 13870, 6132, 23688, 1594, 10562, 119, 1170, 5878, 1299, 1826, 1603, 192, 3502, 488, 106, 106, 5164, 16773, 1215, 1158, 3011, 1170, 5878, 1561, 1118, 1331, 1108, 16003, 1306, 1142, 1132, 1248, 20728, 1217, 121, 1653, 488, 125, 123, 123, 126, 1527, 1299, 11833, 3649, 7216, 10651, 1304, 5675, 1112, 250, 1518, 1199, 1512, 4294, 182, 1120, 1576, 1768, 2827, 1849, 3042, 1561, 6841, 1186, 1645, 14691, 2944, 3365, 21180, 1188, 3631, 119, 1189, 1151, 1167, 11028, 1408, 14429, 1256, 7292, 1188, 1189, 5234, 6534, 10672, 1172, 1199, 1188, 15021, 5363, 121, 488, 106, 106, 140, 2136, 1440, 6001, 9251, 1313, 1170, 24756, 1965, 1527, 16773, 1170, 16277, 1125, 30153, 7541, 1167, 1170, 5878, 1304, 4619, 143, 15040, 2621, 3365, 8137, 1188, 1281, 15991, 1186, 1222, 124, 121, 6982, 1189, 13867, 13341, 244, 1188, 1352, 240, 2495, 1896, 172, 1209, 11172, 1527, 1844, 1189, 30347, 2081, 7705, 9785, 1186, 2749, 488, 125, 123, 123, 129, 1317, 1325, 2314, 1390, 17295, 7879, 1357, 12242, 1370, 3042, 1186, 1222, 126, 121, 488, 106, 106, 5164, 16773, 12048, 1170, 16277, 28721, 1108, 1167, 1170, 5878, 1125, 13272, 2194, 7224, 2461, 193, 29416, 1768, 20235, 488, 129, 176, 1227, 16277, 3615, 5540, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 116, 1167, 1281, 5916, 1214, 1256, 1158, 11609, 5806, 191, 5243, 488, 125, 123, 123, 129, 121, 106, 106, 20616, 4096, 488, 106, 488, 124, 132, 132, 128, 1257, 488, 1198, 1396, 4260, 1671, 172, 1615, 244, 106, 488, 124, 132, 132, 128, 120, 125, 123, 123, 123, 1257, 488, 13054, 20502, 106, 488, 124, 132, 132, 129, 120, 124, 132, 132, 130, 1257, 488, 13054, 25823, 1438, 1233, 24174, 2657, 116, 106, 488, 125, 123, 123, 123, 120, 1257, 488, 3676, 1319, 2006, 4909, 106, 1305, 3435, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1257, 488, 8175, 15439, 1452, 1575, 106, 488, 125, 123, 123, 126, 120, 125, 123, 123, 128, 1257, 488, 1165, 1651, 10631, 5407, 106, 488, 125, 123, 123, 128, 2065, 1416, 121, 488, 125, 123, 123, 128, 1257, 488, 1350, 10829, 15040, 2621, 106, 1225, 6871, 488, 125, 123, 123, 129, 120, 1237, 2771, 488, 125, 123, 123, 130, 1257, 488, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 193, 2194, 106, 25316, 488, 125, 123, 123, 130, 8740, 6871, 488, 125, 123, 123, 131, 1257, 488, 14335, 16456, 175, 1259, 106, 1225, 6871, 488, 125, 123, 123, 131, 120, 125, 123, 123, 131, 1257, 488, 1405, 143, 18931, 1494, 1815, 7497, 106, 22773, 488, 125, 123, 123, 131, 120, 125, 123, 123, 132, 1257, 488, 1325, 1112, 195, 5523, 1192, 9983, 106, 106, 155, 26361, 488, 106, 5940, 18565, 1353, 1298, 1175, 125, 132, 5266, 190, 1167, 488, 127, 1663, 4495, 1835, 488, 124, 132, 132, 130, 1167, 488, 125, 123, 123, 126, 121, 106, 1352, 1262, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1186, 488, 125, 123, 123, 125, 1469, 1170, 26635, 121, 106, 1352, 1262, 19495, 1197, 10765, 14143, 2097, 1125, 488, 125, 123, 123, 123, 1469, 1170, 26635, 121, 106, 1352, 1262, 19495, 1125, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 1469, 1170, 13054, 1266, 28856, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 2749, 488, 124, 132, 130, 131, 106, 153, 3400, 1188, 1254, 173, 1172, 21123, 106, 145, 2836, 24981, 4578, 18565, 1353, 1298, 106, 2330, 1916, 1231, 13461, 1460, 18565, 1353, 1298, 106, 149, 12590, 1227, 1198, 1396, 4260, 1671, 172, 1615, 244, 106, 149, 12590, 1227, 13054, 20502, 106, 149, 12590, 1227, 8175, 15439, 1452, 1575, 106, 149, 12590, 1227, 13054, 25823, 1438, 106, 149, 12590, 1227, 3676, 1319, 2006, 4909, 13054, 106, 149, 12590, 1125, 27542, 1306, 1142, 1132, 106, 149, 12590, 1227, 1165, 1651, 10631, 5407, 13054, 106, 149, 12590, 1227, 15021, 5363, 1165, 10083, 106, 149, 12590, 1125, 14097, 3104, 190, 1233, 150, 106, 149, 12590, 1227, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 9269, 106, 149, 12590, 1227, 1325, 1112, 195, 5523, 13054, 106, 145, 2836, 24981, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 123, 106, 149, 12590, 15953, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1125, 7711, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 7643, 182, 1173, 3205, 186, 1299, 1189, 4981, 24981, 4578, 18565, 1353, 1298, 5252, 1170, 488, 488, 124, 130, 2749, 488, 124, 132, 130, 131, 1188, 1254, 173, 1172, 1246, 2036, 1768, 28160, 1317, 8536, 22704, 8297, 4974, 106, 106, 141, 11741, 488, 106, 106, 1686, 488, 124, 132, 132, 126, 119, 1527, 18900, 1170, 20704, 1593, 1125, 4304, 172, 12704, 1469, 1158, 5266, 1227, 26635, 119, 1571, 17206, 1125, 16839, 1320, 180, 1266, 181, 1123, 1301, 1167, 6780, 1325, 1137, 3502, 6102, 244, 1188, 1266, 16784, 1527, 1299, 1268, 5791, 3672, 1318, 6586, 1188, 10796, 1233, 1227, 13054, 25823, 21156, 6982, 1440, 9251, 1186, 21593, 1527, 5464, 1245, 1188, 1266, 28856, 1768, 1844, 1909, 28407, 1186, 15696, 488, 124, 1186, 488, 124, 132, 132, 128, 1167, 18900, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 121, 488, 106, 106, 152, 1132, 4818, 19657, 1527, 21180, 1170, 13054, 20502, 1167, 16773, 1170, 5878, 9400, 1125, 3676, 1319, 2006, 4909, 121, 1192, 4308, 1996, 1125, 2658, 1125, 5047, 1167, 1186, 2627, 6024, 1469, 1594, 23541, 4819, 1357, 2435, 7205, 1512, 1125, 9386, 1107, 1207, 1200, 1764, 1459, 5336, 1595, 9395, 1527, 1299, 1268, 5791, 1186, 3012, 488, 125, 123, 123, 125, 1188, 15439, 1452, 1575, 1186, 9640, 10041, 13870, 6132, 23688, 1594, 10562, 119, 1170, 5878, 1299, 1826, 1603, 192, 3502, 488, 106, 106, 5164, 16773, 1215, 1158, 3011, 1170, 5878, 1561, 1118, 1331, 1108, 16003, 1306, 1142, 1132, 1248, 20728, 1217, 121, 1653, 488, 125, 123, 123, 126, 1527, 1299, 11833, 3649, 7216, 10651, 1304, 5675, 1112, 250, 1518, 1199, 1512, 4294, 182, 1120, 1576, 1768, 2827, 1849, 3042, 1561, 6841, 1186, 1645, 14691, 2944, 3365, 21180, 1188, 3631, 119, 1189, 1151, 1167, 11028, 1408, 14429, 1256, 7292, 1188, 1189, 5234, 6534, 10672, 1172, 1199, 1188, 15021, 5363, 121, 488, 106, 106, 140, 2136, 1440, 6001, 9251, 1313, 1170, 24756, 1965, 1527, 16773, 1170, 16277, 1125, 30153, 7541, 1167, 1170, 5878, 1304, 4619, 143, 15040, 2621, 3365, 8137, 1188, 1281, 15991, 1186, 1222, 124, 121, 6982, 1189, 13867, 13341, 244, 1188, 1352, 240, 2495, 1896, 172, 1209, 11172, 1527, 1844, 1189, 30347, 2081, 7705, 9785, 1186, 2749, 488, 125, 123, 123, 129, 1317, 1325, 2314, 1390, 17295, 7879, 1357, 12242, 1370, 3042, 1186, 1222, 126, 121, 488, 106, 106, 5164, 16773, 12048, 1170, 16277, 28721, 1108, 1167, 1170, 5878, 1125, 13272, 2194, 7224, 2461, 193, 29416, 1768, 20235, 488, 129, 176, 1227, 16277, 3615, 5540, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 116, 1167, 1281, 5916, 1214, 1256, 1158, 11609, 5806, 191, 5243, 488, 125, 123, 123, 129, 121, 106, 106, 20616, 4096, 488, 106, 488, 124, 132, 132, 128, 1257, 488, 1198, 1396, 4260, 1671, 172, 1615, 244, 106, 488, 124, 132, 132, 128, 120, 125, 123, 123, 123, 1257, 488, 13054, 20502, 106, 488, 124, 132, 132, 129, 120, 124, 132, 132, 130, 1257, 488, 13054, 25823, 1438, 1233, 24174, 2657, 116, 106, 488, 125, 123, 123, 123, 120, 1257, 488, 3676, 1319, 2006, 4909, 106, 1305, 3435, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1257, 488, 8175, 15439, 1452, 1575, 106, 488, 125, 123, 123, 126, 120, 125, 123, 123, 128, 1257, 488, 1165, 1651, 10631, 5407, 106, 488, 125, 123, 123, 128, 2065, 1416, 121, 488, 125, 123, 123, 128, 1257, 488, 1350, 10829, 15040, 2621, 106, 1225, 6871, 488, 125, 123, 123, 129, 120, 1237, 2771, 488, 125, 123, 123, 130, 1257, 488, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 193, 2194, 106, 25316, 488, 125, 123, 123, 130, 8740, 6871, 488, 125, 123, 123, 131, 1257, 488, 14335, 16456, 175, 1259, 106, 1225, 6871, 488, 125, 123, 123, 131, 120, 125, 123, 123, 131, 1257, 488, 1405, 143, 18931, 1494, 1815, 7497, 106, 22773, 488, 125, 123, 123, 131, 120, 125, 123, 123, 132, 1257, 488, 1325, 1112, 195, 5523, 1192, 9983, 106, 106, 155, 26361, 488, 106, 5940, 18565, 1353, 1298, 1175, 125, 132, 5266, 190, 1167, 488, 127, 1663, 4495, 1835, 488, 124, 132, 132, 130, 1167, 488, 125, 123, 123, 126, 121, 106, 1352, 1262, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1186, 488, 125, 123, 123, 125, 1469, 1170, 26635, 121, 106, 1352, 1262, 19495, 1197, 10765, 14143, 2097, 1125, 488, 125, 123, 123, 123, 1469, 1170, 26635, 121, 106, 1352, 1262, 19495, 1125, 1158, 11609, 1125, 2315, 1186, 488, 124, 132, 132, 132, 1469, 1170, 13054, 1266, 28856, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 2749, 488, 124, 132, 130, 131, 106, 153, 3400, 1188, 1254, 173, 1172, 21123, 106, 145, 2836, 24981, 4578, 18565, 1353, 1298, 106, 2330, 1916, 1231, 13461, 1460, 18565, 1353, 1298, 106, 149, 12590, 1227, 1198, 1396, 4260, 1671, 172, 1615, 244, 106, 149, 12590, 1227, 13054, 20502, 106, 149, 12590, 1227, 8175, 15439, 1452, 1575, 106, 149, 12590, 1227, 13054, 25823, 1438, 106, 149, 12590, 1227, 3676, 1319, 2006, 4909, 13054, 106, 149, 12590, 1125, 27542, 1306, 1142, 1132, 106, 149, 12590, 1227, 1165, 1651, 10631, 5407, 13054, 106, 149, 12590, 1227, 15021, 5363, 1165, 10083, 106, 149, 12590, 1125, 14097, 3104, 190, 1233, 150, 106, 149, 12590, 1227, 1204, 2120, 31991, 13272, 2194, 7224, 2461, 9269, 106, 149, 12590, 1227, 1325, 1112, 195, 5523, 13054, 106, 145, 2836, 24981, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 123, 106, 149, 12590, 15953, 19495, 1125, 1158, 11609, 5519, 9971, 1197, 19729, 1125, 7711, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 22507, 9911, 488, 125, 123, 124, 125, 119, 13949, 1198, 17077, 1107, 1125, 1204, 9458, 7655, 10290, 7451, 2443, 1167, 2068, 1479, 1376, 186, 1125, 7494, 1124, 2360, 172, 1703, 3203, 1197, 5999, 2682, 245, 1485, 9331, 7743, 1215, 21686, 1548, 3849, 173, 20695, 1323, 9041, 1129, 1189, 8710, 1188, 13949, 1252, 1488, 1242, 1703, 16934, 2682, 17215, 9331, 7743, 1215, 1548, 3849, 173, 20695, 1167, 8595, 1125, 1158, 1252, 4365, 155, 163, 1188, 21396, 121, 3762, 1816, 8710, 119, 1207, 3203, 2682, 245, 1485, 2217, 23459, 1188, 1252, 1488, 1242, 1964, 16035, 9562, 1188, 1158, 7293, 2335, 3406, 1606, 29314, 26601, 1524, 1469, 1170, 29905, 16318, 121, 106, 106, 157, 31326, 7451, 2443, 1299, 2217, 7153, 244, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 125, 134, 1527, 3031, 6113, 1197, 8693, 1701, 1207, 1408, 4723, 2162, 1234, 1357, 10703, 2886, 25536, 2714, 1170, 29828, 1160, 1469, 1170, 29905, 16318, 121, 3762, 1318, 8710, 6933, 3212, 1527, 3618, 10556, 1188, 1594, 8595, 119, 8870, 1217, 1252, 1488, 6234, 106, 106, 13766, 3699, 20190, 3276, 1538, 5596, 21804, 4259, 1125, 1252, 1488, 1242, 1167, 30690, 1125, 5191, 1468, 1202, 1193, 1333, 1124, 9836, 1317, 8536, 1125, 8595, 4610, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 131, 16921, 1186, 3247, 30845, 1188, 5444, 17872, 1606, 1317, 5545, 1125, 1158, 1772, 20241, 1348, 3281, 16867, 2271, 1524, 2519, 1606, 11266, 16035, 1317, 29828, 1160, 1469, 11825, 1524, 2487, 1207, 4634, 1281, 1874, 1160, 31834, 1606, 20212, 1701, 4821, 4787, 6305, 13419, 3547, 7032, 21232, 1199, 1408, 23278, 25897, 1364, 1309, 2068, 177, 1376, 186, 1125, 7494, 1124, 2360, 172, 1167, 1282, 11756, 244, 8702, 1233, 6559, 1183, 1157, 3378, 8595, 1227, 10750, 1125, 6556, 2004, 1913, 17634, 1606, 7667, 1701, 1524, 1227, 3631, 8595, 121, 32001, 488, 106, 32000, 20036, 106, 22507, 9911, 488, 125, 123, 124, 125, 119, 13949, 1198, 17077, 1107, 1125, 1204, 9458, 7655, 10290, 7451, 2443, 1167, 2068, 177, 1376, 186, 1125, 7494, 1124, 2360, 172, 1703, 3203, 1197, 5999, 2682, 245, 1485, 9331, 7743, 1215, 21686, 1548, 3849, 173, 20695, 1323, 9041, 1129, 1189, 8710, 1188, 13949, 1252, 1488, 1242, 1703, 16934, 2682, 17215, 20360, 1215, 1548, 3849, 173, 20695, 1167, 8595, 1125, 1158, 1252, 4365, 155, 163, 1188, 21396, 121, 3762, 1816, 8710, 119, 1207, 3203, 2682, 245, 1485, 2217, 23459, 1188, 1252, 1488, 1242, 1964, 16035, 9562, 1188, 1158, 7293, 2335, 3406, 1606, 29314, 5854, 1524, 1469, 1170, 29905, 16318, 121, 106, 106, 157, 31326, 7451, 2443, 1299, 2217, 7153, 244, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 125, 134, 1527, 3031, 6113, 1197, 8693, 1701, 1207, 1408, 4723, 2162, 1234, 1357, 5230, 25536, 2714, 1170, 29828, 1160, 1469, 1170, 29905, 16318, 121, 3762, 1318, 8710, 6933, 3212, 1527, 3618, 10556, 1188, 1594, 8595, 119, 13949, 1252, 1488, 6234, 1939, 106, 106, 13766, 3699, 20190, 3276, 1538, 5596, 21804, 4259, 1125, 1252, 1488, 1242, 1167, 30690, 1125, 5191, 1468, 1202, 1193, 1333, 1124, 9836, 1317, 8536, 1125, 8595, 4610, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 131, 16921, 1186, 3247, 30845, 1188, 5444, 17872, 1606, 1317, 5545, 1125, 1158, 1772, 20241, 1348, 3281, 1202, 1214, 2271, 1524, 2519, 1606, 11266, 16035, 1317, 29828, 1160, 1469, 11188, 1524, 2487, 1207, 4634, 1281, 1874, 1160, 31834, 1606, 20212, 1701, 4821, 4787, 6305, 13419, 3547, 7032, 21232, 1199, 1408, 23278, 25897, 1364, 1309, 2068, 177, 1376, 186, 1125, 7494, 1124, 2360, 172, 1167, 1282, 11756, 244, 8702, 1233, 6559, 1183, 1157, 3378, 8595, 1227, 10750, 1125, 6556, 2004, 1913, 17634, 1606, 7667, 1701, 1524, 1227, 3631, 8595, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 22507, 9911, 488, 125, 123, 124, 125, 119, 13949, 1198, 17077, 1107, 1125, 1204, 9458, 7655, 10290, 7451, 2443, 1167, 2068, 177, 1376, 186, 1125, 7494, 1124, 2360, 172, 1703, 3203, 1197, 5999, 2682, 245, 1485, 9331, 7743, 1215, 21686, 1548, 3849, 173, 20695, 1323, 9041, 1129, 1189, 8710, 1188, 13949, 1252, 1488, 1242, 1703, 16934, 2682, 17215, 20360, 1215, 1548, 3849, 173, 20695, 1167, 8595, 1125, 1158, 1252, 4365, 155, 163, 1188, 21396, 121, 3762, 1816, 8710, 119, 1207, 3203, 2682, 245, 1485, 2217, 23459, 1188, 1252, 1488, 1242, 1964, 16035, 9562, 1188, 1158, 7293, 2335, 3406, 1606, 29314, 5854, 1524, 1469, 1170, 29905, 16318, 121, 106, 106, 157, 31326, 7451, 2443, 1299, 2217, 7153, 244, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 125, 134, 1527, 3031, 6113, 1197, 8693, 1701, 1207, 1408, 4723, 2162, 1234, 1357, 5230, 25536, 2714, 1170, 29828, 1160, 1469, 1170, 29905, 16318, 121, 3762, 1318, 8710, 6933, 3212, 1527, 3618, 10556, 1188, 1594, 8595, 119, 13949, 1252, 1488, 6234, 1939, 106, 106, 13766, 3699, 20190, 3276, 1538, 5596, 21804, 4259, 1125, 1252, 1488, 1242, 1167, 30690, 1125, 5191, 1468, 1202, 1193, 1333, 1124, 9836, 1317, 8536, 1125, 8595, 4610, 1125, 1158, 1252, 4365, 155, 163, 1186, 488, 488, 125, 123, 124, 131, 16921, 1186, 3247, 30845, 1188, 5444, 17872, 1606, 1317, 5545, 1125, 1158, 1772, 20241, 1348, 3281, 1202, 1214, 2271, 1524, 2519, 1606, 11266, 16035, 1317, 29828, 1160, 1469, 11188, 1524, 2487, 1207, 4634, 1281, 1874, 1160, 31834, 1606, 20212, 1701, 4821, 4787, 6305, 13419, 3547, 7032, 21232, 1199, 1408, 23278, 25897, 1364, 1309, 2068, 177, 1376, 186, 1125, 7494, 1124, 2360, 172, 1167, 1282, 11756, 244, 8702, 1233, 6559, 1183, 1157, 3378, 8595, 1227, 10750, 1125, 6556, 2004, 1913, 17634, 1606, 7667, 1701, 1524, 1227, 3631, 8595, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 4497, 1132, 1953, 1314, 1362, 29743, 5523, 5796, 1123, 6920, 1245, 2040, 1186, 15393, 1257, 22680, 353, 5058, 351, 13674, 360, 16789, 351, 7593, 373, 378, 364, 119, 1809, 2261, 1257, 3942, 1154, 14989, 5796, 1953, 196, 1245, 1496, 1125, 1594, 8444, 1874, 1192, 1263, 7901, 30820, 1651, 5836, 5796, 1953, 196, 1245, 7216, 15393, 1257, 22680, 21938, 299, 367, 9094, 360, 488, 332, 10105, 299, 27970, 359, 374, 5408, 378, 364, 16789, 351, 299, 7593, 373, 378, 364, 1496, 4541, 1186, 2875, 488, 124, 129, 125, 129, 119, 1299, 1189, 2031, 1314, 1167, 4607, 1354, 15393, 1227, 11402, 25525, 6298, 121, 106, 106, 141, 11741, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 7424, 2519, 4446, 12322, 6204, 1768, 1110, 13551, 1561, 9245, 2290, 1170, 27555, 16939, 9591, 1170, 6522, 13740, 121, 1768, 7354, 2031, 1314, 1186, 488, 124, 128, 128, 131, 2290, 1170, 1874, 5519, 11421, 28649, 1167, 12425, 1856, 3965, 1550, 1107, 1317, 1691, 1573, 1450, 1643, 1278, 1125, 1158, 2168, 1109, 1348, 17116, 3441, 16791, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 132, 121, 1768, 1299, 3042, 4701, 1188, 17347, 1118, 13037, 1691, 1573, 1450, 1299, 1188, 488, 127, 123, 7275, 116, 1167, 1188, 1158, 2107, 121, 13040, 1170, 1691, 1573, 1450, 1299, 28822, 180, 1186, 488, 124, 129, 124, 123, 120, 124, 129, 124, 124, 1215, 1207, 21863, 24562, 186, 2992, 1123, 15207, 31016, 1527, 4933, 1188, 17347, 1118, 1167, 16412, 1189, 4093, 2510, 26298, 16137, 121, 106, 106, 140, 2136, 1158, 19403, 1125, 1539, 1118, 11659, 2433, 1527, 1844, 3247, 2519, 15240, 15067, 3125, 1188, 5799, 1172, 1462, 5544, 5693, 1227, 10973, 1173, 1205, 3590, 1414, 7983, 1125, 1202, 1737, 6664, 1167, 1527, 1169, 2640, 1188, 17347, 30701, 7823, 1227, 7340, 19824, 3781, 1186, 488, 124, 129, 124, 125, 119, 1527, 1299, 1313, 1207, 21863, 7697, 2915, 2714, 1207, 3346, 1105, 7655, 1527, 13300, 1317, 2207, 1320, 15344, 17875, 1121, 1175, 20658, 1227, 11594, 116, 1304, 7771, 1125, 9436, 12047, 1651, 1186, 488, 124, 129, 124, 126, 1167, 3811, 1188, 28520, 1216, 10778, 1188, 1158, 6666, 1227, 3631, 23467, 13649, 106, 106, 149, 1153, 6055, 1108, 488, 124, 129, 124, 132, 119, 1527, 1299, 2377, 244, 1317, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 6957, 6982, 1170, 5464, 1125, 9496, 1124, 4326, 1186, 488, 124, 129, 124, 132, 119, 1527, 1299, 15367, 1215, 1440, 4755, 1317, 1691, 1573, 1450, 8431, 1651, 2298, 7901, 2585, 1527, 19859, 1186, 488, 124, 129, 125, 128, 121, 106, 106, 282, 10843, 106, 106, 3562, 3247, 13676, 1125, 1594, 17299, 27020, 1123, 1227, 9209, 1125, 29905, 16791, 1125, 1643, 2168, 1109, 1348, 1215, 1207, 3346, 1105, 1298, 1167, 1808, 23056, 15207, 15982, 1167, 1197, 15668, 1357, 31635, 7085, 6349, 1186, 14512, 1175, 340, 7657, 21406, 17187, 20394, 6983, 25968, 15298, 27801, 6809, 359, 373, 6207, 7443, 26435, 5021, 4598, 378, 367, 382, 21109, 8766, 13591, 28088, 6658, 488, 7593, 369, 353, 378, 119, 6658, 6983, 30371, 353, 24381, 372, 8766, 7506, 363, 4984, 24812, 365, 368, 18278, 359, 9647, 382, 9162, 357, 351, 372, 116, 1299, 30364, 1188, 1158, 9293, 1227, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 1348, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 123, 3672, 1282, 16819, 24562, 186, 2992, 1123, 15207, 28355, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 1110, 2072, 19187, 14124, 1188, 26951, 1215, 1207, 29631, 27800, 1175, 332, 20814, 8352, 382, 4984, 4507, 351, 363, 382, 13304, 28433, 355, 378, 20799, 31554, 363, 26773, 23215, 363, 1496, 1189, 19825, 1227, 29522, 1197, 15668, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 106, 106, 153, 1383, 1328, 1206, 15393, 1227, 11402, 3463, 176, 6298, 106, 152, 8016, 15393, 106, 147, 7569, 1354, 15393, 106, 13580, 1550, 1107, 106, 5347, 1125, 10544, 2081, 16625, 15604, 27283, 161, 25525, 6298, 116, 106, 31133, 1467, 1186, 2875, 488, 124, 129, 125, 129, 32001, 488, 106, 32000, 20036, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 4497, 1132, 1953, 1314, 1362, 29743, 5523, 5796, 1123, 6920, 1245, 2040, 1186, 15393, 1257, 22680, 353, 5058, 351, 13674, 360, 16789, 351, 7593, 373, 378, 364, 119, 1809, 2261, 1257, 3942, 1154, 14989, 5796, 1953, 196, 1245, 1496, 1125, 1594, 8444, 1874, 1192, 1263, 7901, 30820, 1651, 5836, 5796, 1953, 196, 1245, 7216, 15393, 1257, 22680, 21938, 299, 367, 9094, 360, 488, 332, 10105, 299, 27970, 359, 374, 5408, 378, 364, 16789, 351, 299, 7593, 373, 378, 364, 1496, 4541, 1186, 2875, 488, 124, 129, 125, 129, 119, 1299, 1189, 2031, 1314, 1167, 4607, 1354, 15393, 1227, 11402, 25525, 6298, 121, 106, 106, 141, 11741, 488, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 7424, 2519, 4446, 12322, 6204, 1768, 1110, 13551, 1561, 9245, 2290, 1170, 27555, 16939, 9591, 1170, 6522, 13740, 121, 1768, 7354, 2031, 1314, 1186, 488, 124, 128, 128, 131, 2290, 1170, 1874, 5519, 11421, 28649, 1167, 12425, 1856, 3965, 1550, 1107, 1317, 1691, 1573, 1450, 1643, 1278, 1125, 1158, 2168, 1109, 1348, 17116, 3441, 16791, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 132, 121, 1768, 1299, 3042, 4701, 1188, 17347, 1118, 13037, 1691, 1573, 1450, 1299, 1188, 488, 127, 123, 7275, 116, 1167, 1188, 1158, 2107, 121, 13040, 1170, 1691, 1573, 1450, 1299, 28822, 180, 1186, 488, 124, 129, 124, 123, 120, 124, 129, 124, 124, 1215, 1207, 21863, 24562, 186, 2992, 1123, 15207, 31016, 1527, 4933, 1188, 17347, 1118, 1167, 16412, 1189, 4093, 2510, 26298, 16137, 121, 106, 106, 140, 2136, 1158, 19403, 1125, 1539, 1118, 11659, 2433, 1527, 1844, 3247, 2519, 15240, 15067, 3125, 1188, 5799, 1172, 1462, 5544, 5693, 1227, 10973, 1173, 1205, 3590, 1414, 7983, 1125, 1202, 1737, 6664, 1167, 1527, 1169, 2640, 1188, 17347, 30701, 7823, 1227, 7340, 19824, 3781, 1186, 488, 124, 129, 124, 125, 119, 1527, 1299, 1313, 1207, 21863, 7697, 2915, 2714, 1207, 3346, 1105, 7655, 1527, 13300, 1317, 2207, 1320, 15344, 17875, 1121, 1175, 20658, 1227, 11594, 116, 1304, 7771, 1125, 9436, 12047, 1651, 1186, 488, 124, 129, 124, 126, 1167, 3811, 1188, 28520, 1216, 10778, 1188, 1158, 6666, 1227, 3631, 23467, 13649, 106, 106, 149, 1153, 6055, 1108, 488, 124, 129, 124, 132, 119, 1527, 1299, 2377, 244, 1317, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 6957, 6982, 1170, 5464, 1125, 9496, 1124, 4326, 1186, 488, 124, 129, 124, 132, 119, 1527, 1299, 15367, 1215, 1440, 4755, 1317, 1691, 1573, 1450, 8431, 1651, 2298, 7901, 2585, 1527, 19859, 1186, 488, 124, 129, 125, 128, 121, 106, 106, 282, 10843, 488, 106, 106, 3562, 3247, 13676, 1125, 1594, 17299, 27020, 1123, 1227, 9209, 1125, 29905, 16791, 1125, 1643, 2168, 1109, 1348, 1215, 1207, 3346, 1105, 1298, 1167, 1808, 23056, 15207, 15982, 1167, 1197, 15668, 1357, 31635, 7085, 6349, 1186, 14512, 1175, 340, 7657, 21406, 17187, 20394, 6983, 25968, 15298, 27801, 6809, 359, 373, 6207, 7443, 26435, 5021, 4598, 378, 367, 382, 21109, 8766, 13591, 28088, 6658, 488, 7593, 369, 353, 378, 119, 6658, 6983, 30371, 353, 24381, 372, 8766, 7506, 363, 4984, 24812, 365, 368, 18278, 359, 9647, 382, 9162, 357, 351, 372, 116, 1299, 30364, 1188, 1158, 9293, 1227, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 1348, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 123, 3672, 1282, 16819, 24562, 186, 2992, 1123, 15207, 28355, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 1110, 2072, 19187, 14124, 1188, 26951, 1215, 1207, 29631, 27800, 1175, 332, 20814, 8352, 382, 4984, 4507, 351, 363, 382, 13304, 28433, 355, 378, 20799, 31554, 363, 26773, 23215, 363, 1496, 1189, 19825, 1227, 29522, 1197, 15668, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 106, 106, 153, 1383, 1328, 1206, 15393, 1227, 11402, 3463, 176, 6298, 106, 152, 8016, 15393, 106, 147, 7569, 1354, 15393, 106, 13580, 1550, 1107, 106, 5347, 1125, 10544, 2081, 16625, 15604, 27283, 161, 25525, 6298, 116, 106, 31133, 1467, 1186, 2875, 488, 124, 129, 125, 129, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 4497, 1132, 1953, 1314, 1362, 29743, 5523, 5796, 1123, 6920, 1245, 2040, 1186, 15393, 1257, 22680, 353, 5058, 351, 13674, 360, 16789, 351, 7593, 373, 378, 364, 119, 1809, 2261, 1257, 3942, 1154, 14989, 5796, 1953, 196, 1245, 1496, 1125, 1594, 8444, 1874, 1192, 1263, 7901, 30820, 1651, 5836, 5796, 1953, 196, 1245, 7216, 15393, 1257, 22680, 21938, 299, 367, 9094, 360, 488, 332, 10105, 299, 27970, 359, 374, 5408, 378, 364, 16789, 351, 299, 7593, 373, 378, 364, 1496, 4541, 1186, 2875, 488, 124, 129, 125, 129, 119, 1299, 1189, 2031, 1314, 1167, 4607, 1354, 15393, 1227, 11402, 25525, 6298, 121, 106, 106, 141, 11741, 488, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 7424, 2519, 4446, 12322, 6204, 1768, 1110, 13551, 1561, 9245, 2290, 1170, 27555, 16939, 9591, 1170, 6522, 13740, 121, 1768, 7354, 2031, 1314, 1186, 488, 124, 128, 128, 131, 2290, 1170, 1874, 5519, 11421, 28649, 1167, 12425, 1856, 3965, 1550, 1107, 1317, 1691, 1573, 1450, 1643, 1278, 1125, 1158, 2168, 1109, 1348, 17116, 3441, 16791, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 132, 121, 1768, 1299, 3042, 4701, 1188, 17347, 1118, 13037, 1691, 1573, 1450, 1299, 1188, 488, 127, 123, 7275, 116, 1167, 1188, 1158, 2107, 121, 13040, 1170, 1691, 1573, 1450, 1299, 28822, 180, 1186, 488, 124, 129, 124, 123, 120, 124, 129, 124, 124, 1215, 1207, 21863, 24562, 186, 2992, 1123, 15207, 31016, 1527, 4933, 1188, 17347, 1118, 1167, 16412, 1189, 4093, 2510, 26298, 16137, 121, 106, 106, 140, 2136, 1158, 19403, 1125, 1539, 1118, 11659, 2433, 1527, 1844, 3247, 2519, 15240, 15067, 3125, 1188, 5799, 1172, 1462, 5544, 5693, 1227, 10973, 1173, 1205, 3590, 1414, 7983, 1125, 1202, 1737, 6664, 1167, 1527, 1169, 2640, 1188, 17347, 30701, 7823, 1227, 7340, 19824, 3781, 1186, 488, 124, 129, 124, 125, 119, 1527, 1299, 1313, 1207, 21863, 7697, 2915, 2714, 1207, 3346, 1105, 7655, 1527, 13300, 1317, 2207, 1320, 15344, 17875, 1121, 1175, 20658, 1227, 11594, 116, 1304, 7771, 1125, 9436, 12047, 1651, 1186, 488, 124, 129, 124, 126, 1167, 3811, 1188, 28520, 1216, 10778, 1188, 1158, 6666, 1227, 3631, 23467, 13649, 106, 106, 149, 1153, 6055, 1108, 488, 124, 129, 124, 132, 119, 1527, 1299, 2377, 244, 1317, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 6957, 6982, 1170, 5464, 1125, 9496, 1124, 4326, 1186, 488, 124, 129, 124, 132, 119, 1527, 1299, 15367, 1215, 1440, 4755, 1317, 1691, 1573, 1450, 8431, 1651, 2298, 7901, 2585, 1527, 19859, 1186, 488, 124, 129, 125, 128, 121, 106, 106, 282, 10843, 488, 106, 106, 3562, 3247, 13676, 1125, 1594, 17299, 27020, 1123, 1227, 9209, 1125, 29905, 16791, 1125, 1643, 2168, 1109, 1348, 1215, 1207, 3346, 1105, 1298, 1167, 1808, 23056, 15207, 15982, 1167, 1197, 15668, 1357, 31635, 7085, 6349, 1186, 14512, 1175, 340, 7657, 21406, 17187, 20394, 6983, 25968, 15298, 27801, 6809, 359, 373, 6207, 7443, 26435, 5021, 4598, 378, 367, 382, 21109, 8766, 13591, 28088, 6658, 488, 7593, 369, 353, 378, 119, 6658, 6983, 30371, 353, 24381, 372, 8766, 7506, 363, 4984, 24812, 365, 368, 18278, 359, 9647, 382, 9162, 357, 351, 372, 116, 1299, 30364, 1188, 1158, 9293, 1227, 1691, 1573, 1450, 1125, 1158, 2168, 1109, 1348, 1835, 488, 124, 129, 123, 131, 1167, 488, 124, 129, 124, 123, 3672, 1282, 16819, 24562, 186, 2992, 1123, 15207, 28355, 106, 106, 11306, 1154, 5523, 5796, 1953, 196, 1245, 1110, 2072, 19187, 14124, 1188, 26951, 1215, 1207, 29631, 27800, 1175, 332, 20814, 8352, 382, 4984, 4507, 351, 363, 382, 13304, 28433, 355, 378, 20799, 31554, 363, 26773, 23215, 363, 1496, 1189, 19825, 1227, 29522, 1197, 15668, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 106, 106, 153, 1383, 1328, 1206, 15393, 1227, 11402, 3463, 176, 6298, 106, 152, 8016, 15393, 106, 147, 7569, 1354, 15393, 106, 13580, 1550, 1107, 106, 5347, 1125, 10544, 2081, 16625, 15604, 27283, 161, 25525, 6298, 116, 106, 31133, 1467, 1186, 2875, 488, 124, 129, 125, 129, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 1118, 1439, 1222, 1487, 2114, 1362, 1200, 2566, 1222, 1487, 1105, 5445, 1507, 4748, 5252, 1186, 488, 124, 132, 127, 126, 119, 1299, 1189, 4208, 12397, 1167, 12049, 2100, 22256, 7269, 121, 106, 106, 151, 1118, 1439, 1222, 1487, 1105, 22589, 1214, 1188, 21455, 1227, 8579, 1188, 17477, 1186, 22412, 8099, 7441, 31056, 1299, 7628, 13825, 1303, 1186, 30650, 1147, 1217, 4396, 3798, 31056, 19353, 6349, 3672, 1318, 1367, 1108, 30801, 16981, 6002, 106, 106, 1686, 488, 124, 132, 130, 130, 119, 18662, 5617, 1189, 17299, 18922, 6824, 1568, 1436, 244, 1581, 8751, 1188, 19543, 109, 1300, 1170, 3040, 4764, 5690, 13642, 1836, 1197, 24853, 106, 106, 141, 13449, 488, 106, 8487, 1436, 244, 1581, 8751, 1188, 6577, 12057, 4796, 20576, 1125, 488, 125, 5305, 2605, 9523, 1764, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 130, 119, 1338, 21163, 488, 124, 132, 132, 126, 1113, 1670, 488, 125, 123, 123, 131, 106, 30076, 197, 1581, 8751, 1188, 6084, 1167, 1188, 12049, 2944, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 131, 106, 25231, 1376, 1469, 1207, 2866, 15354, 21993, 1125, 2814, 147, 1255, 3100, 17477, 1257, 488, 124, 132, 130, 132, 106, 106, 147, 1767, 1392, 488, 106, 155, 3303, 6927, 3926, 19359, 1303, 1175, 124, 132, 131, 130, 1496, 1808, 1166, 1550, 1117, 2563, 21993, 2722, 1109, 28238, 17477, 1257, 488, 124, 132, 131, 130, 106, 106, 28870, 13059, 1312, 106, 106, 158, 3249, 488, 106, 106, 153, 3400, 1186, 488, 124, 132, 127, 126, 106, 145, 25736, 1125, 13837, 1179, 7607, 7269, 106, 223, 24116, 1125, 21455, 1227, 2722, 1416, 1188, 17477, 32001, 488, 106, 32000, 20036, 106, 151, 1118, 1439, 1222, 1487, 2114, 1362, 27138, 1222, 1487, 1105, 5445, 1507, 4748, 14232, 1186, 488, 124, 132, 127, 126, 119, 1299, 1318, 14986, 2009, 1167, 15644, 2100, 22256, 7269, 121, 106, 106, 151, 1118, 1439, 1222, 1487, 1105, 22589, 1214, 1188, 21455, 1227, 8579, 1188, 17477, 1186, 22412, 8099, 7441, 3450, 1299, 7628, 13825, 1303, 1186, 30650, 1147, 1217, 4396, 3798, 3450, 19353, 6349, 3672, 1318, 1367, 1129, 2100, 16981, 6002, 106, 106, 1686, 488, 124, 132, 130, 130, 119, 2399, 5617, 1189, 17299, 18922, 6824, 1568, 21657, 197, 1581, 8751, 1188, 19543, 109, 1300, 1170, 3040, 4764, 5690, 13642, 1836, 1197, 24853, 106, 106, 141, 13449, 488, 106, 8487, 21657, 197, 1581, 8751, 1188, 6577, 12057, 4796, 20576, 1125, 488, 125, 5305, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 130, 119, 1338, 244, 2527, 488, 124, 132, 132, 126, 2648, 488, 125, 123, 123, 131, 106, 30076, 197, 1581, 8751, 1188, 6084, 1167, 1188, 12049, 2944, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 131, 106, 25231, 1376, 1469, 1207, 2866, 15354, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 132, 106, 106, 147, 1767, 1392, 488, 106, 155, 3303, 6927, 3926, 1380, 1122, 1175, 124, 132, 131, 130, 1496, 1808, 1166, 1550, 1117, 2563, 21993, 2722, 1109, 28238, 17477, 1257, 488, 124, 132, 131, 130, 106, 106, 28870, 5825, 106, 106, 158, 3249, 488, 106, 106, 153, 3400, 1186, 488, 124, 132, 127, 126, 106, 145, 25736, 1125, 13837, 22256, 7269, 106, 224, 24116, 1125, 21455, 1227, 8579, 1188, 17477, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 151, 1118, 1439, 1222, 1487, 2114, 1362, 27138, 1222, 1487, 1105, 5445, 1507, 4748, 14232, 1186, 488, 124, 132, 127, 126, 119, 1299, 1318, 14986, 2009, 1167, 15644, 2100, 22256, 7269, 121, 106, 106, 151, 1118, 1439, 1222, 1487, 1105, 22589, 1214, 1188, 21455, 1227, 8579, 1188, 17477, 1186, 22412, 8099, 7441, 3450, 1299, 7628, 13825, 1303, 1186, 30650, 1147, 1217, 4396, 3798, 3450, 19353, 6349, 3672, 1318, 1367, 1129, 2100, 16981, 6002, 106, 106, 1686, 488, 124, 132, 130, 130, 119, 2399, 5617, 1189, 17299, 18922, 6824, 1568, 21657, 197, 1581, 8751, 1188, 19543, 109, 1300, 1170, 3040, 4764, 5690, 13642, 1836, 1197, 24853, 106, 106, 141, 13449, 488, 106, 8487, 21657, 197, 1581, 8751, 1188, 6577, 12057, 4796, 20576, 1125, 488, 125, 5305, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 130, 119, 1338, 244, 2527, 488, 124, 132, 132, 126, 2648, 488, 125, 123, 123, 131, 106, 30076, 197, 1581, 8751, 1188, 6084, 1167, 1188, 12049, 2944, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 131, 106, 25231, 1376, 1469, 1207, 2866, 15354, 21993, 1125, 2814, 147, 25463, 17477, 1257, 488, 124, 132, 130, 132, 106, 106, 147, 1767, 1392, 488, 106, 155, 3303, 6927, 3926, 1380, 1122, 1175, 124, 132, 131, 130, 1496, 1808, 1166, 1550, 1117, 2563, 21993, 2722, 1109, 28238, 17477, 1257, 488, 124, 132, 131, 130, 106, 106, 28870, 5825, 106, 106, 158, 3249, 488, 106, 106, 153, 3400, 1186, 488, 124, 132, 127, 126, 106, 145, 25736, 1125, 13837, 22256, 7269, 106, 224, 24116, 1125, 21455, 1227, 8579, 1188, 17477, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 27112, 2240, 7132, 1265, 2548, 1120, 13662, 1440, 2574, 24697, 7576, 24896, 1606, 27112, 2240, 488, 129, 123, 132, 15198, 1299, 1318, 27112, 2240, 4473, 18117, 4054, 1125, 21090, 28721, 21687, 10125, 12462, 30647, 1125, 24028, 1125, 8166, 10499, 1234, 1188, 1158, 27112, 2240, 31738, 1119, 3266, 106, 106, 30609, 106, 106, 3562, 27112, 2240, 7132, 1265, 2548, 1120, 1110, 1913, 16233, 2290, 23147, 1125, 1158, 1306, 23188, 2194, 1186, 3141, 488, 124, 132, 127, 131, 1186, 4083, 1309, 27112, 2240, 26438, 14889, 3450, 3031, 10499, 1303, 1188, 1158, 1264, 2100, 4480, 10238, 1835, 18934, 3942, 1289, 1167, 1170, 2383, 27761, 7112, 3450, 2985, 6349, 8363, 1303, 1188, 26012, 16208, 1125, 9293, 1304, 31620, 1188, 1561, 5735, 11345, 29254, 1125, 6480, 6507, 1293, 1157, 1231, 1170, 488, 125, 131, 2738, 488, 124, 132, 127, 131, 1576, 106, 106, 151, 1500, 1125, 1158, 6545, 1125, 22224, 1314, 1125, 488, 124, 132, 127, 131, 119, 1158, 27112, 2240, 7132, 1265, 2548, 1120, 1110, 20888, 1317, 16228, 1167, 1317, 5136, 1125, 1158, 1264, 2100, 4480, 10238, 28033, 1158, 5552, 1227, 7130, 24950, 7224, 1199, 19627, 1496, 1317, 3151, 1693, 1511, 2714, 14772, 189, 1353, 119, 1188, 1282, 9298, 5941, 2433, 1167, 1188, 1282, 9298, 1350, 2886, 175, 2036, 106, 106, 1686, 2875, 488, 124, 132, 127, 132, 2750, 1158, 1622, 1125, 1158, 26634, 1158, 27112, 2240, 14994, 2985, 3175, 1199, 1140, 1303, 1469, 1158, 7759, 1197, 2905, 27112, 1217, 1457, 1643, 3643, 27112, 2240, 7132, 1265, 2548, 1120, 1971, 1343, 1318, 27112, 2240, 23427, 7208, 1303, 1188, 1158, 3789, 1125, 1158, 23139, 2347, 1164, 2794, 121, 106, 106, 143, 16274, 1158, 6545, 1197, 19477, 1321, 1627, 1186, 488, 124, 132, 129, 130, 119, 1158, 27112, 2240, 7132, 1265, 2548, 1120, 2985, 1158, 3453, 1188, 1466, 7971, 1207, 12251, 2347, 1164, 6542, 1300, 1170, 31738, 6871, 1867, 1816, 25772, 1158, 27112, 2240, 1110, 3294, 1191, 27765, 1197, 17230, 18536, 2347, 1164, 1462, 7706, 1309, 1222, 1379, 1124, 12472, 18934, 7002, 1142, 2726, 1204, 9604, 12256, 1810, 15545, 7130, 1125, 24944, 5567, 5639, 1125, 7360, 1203, 29416, 106, 106, 140, 2136, 1440, 12233, 6634, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 12700, 1197, 25180, 3051, 1227, 31738, 3100, 2757, 1158, 2989, 11894, 1125, 1266, 2564, 12472, 8306, 13286, 1303, 7328, 1158, 6545, 1227, 1518, 5216, 1157, 1125, 488, 124, 132, 130, 126, 119, 2585, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 4272, 1197, 13587, 190, 1227, 12319, 175, 5485, 2567, 1125, 4110, 1186, 3812, 1158, 3028, 1125, 5775, 1300, 1207, 25180, 3051, 1227, 31738, 6871, 106, 106, 216, 1158, 3011, 1125, 1158, 6545, 1125, 488, 124, 132, 130, 126, 119, 1158, 27112, 2240, 12242, 172, 1125, 3631, 1256, 1169, 1208, 3951, 1318, 27112, 2240, 4473, 18117, 4054, 121, 1548, 1874, 2985, 20540, 1186, 1606, 27112, 2240, 488, 129, 123, 132, 3133, 1167, 1170, 5759, 1160, 2985, 14663, 244, 1125, 1158, 2989, 1125, 9519, 179, 1202, 3382, 1188, 1158, 2989, 3288, 172, 3100, 2648, 1188, 1158, 2989, 1125, 1254, 1109, 11398, 1477, 5784, 106, 106, 143, 16274, 13488, 3054, 11894, 28721, 2794, 1317, 4839, 1119, 1125, 488, 124, 132, 131, 125, 119, 1158, 1606, 27112, 2240, 488, 129, 123, 132, 1524, 9524, 2052, 1313, 1158, 3734, 1125, 1222, 8087, 1167, 29813, 3847, 106, 106, 143, 16274, 1170, 18828, 24309, 20831, 120, 4430, 1119, 1298, 1125, 488, 125, 123, 123, 129, 119, 1158, 27112, 2240, 2985, 26589, 1313, 1158, 3734, 16341, 5907, 106, 106, 3159, 1150, 6028, 106, 106, 143, 6849, 488, 125, 123, 123, 123, 1703, 3110, 1188, 5685, 1170, 10001, 6353, 1124, 1289, 1110, 9053, 1189, 3477, 2888, 4283, 1318, 21203, 24119, 1125, 488, 124, 132, 132, 131, 1703, 1158, 27112, 2240, 1299, 1317, 4779, 2519, 16407, 6028, 1300, 1197, 12420, 10522, 1153, 2391, 1125, 1158, 1191, 8622, 24950, 7224, 1199, 19627, 1313, 1158, 7005, 1227, 488, 125, 125, 1317, 488, 125, 126, 2738, 488, 124, 132, 127, 131, 1215, 1197, 6626, 1125, 1158, 27112, 2240, 7132, 1265, 2548, 5068, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 27566, 9229, 106, 106, 140, 2643, 1265, 2548, 180, 114, 32001, 488, 106, 32000, 20036, 106, 3562, 27112, 2240, 7132, 1265, 2548, 180, 13662, 1440, 2574, 24697, 7576, 24896, 1606, 27112, 2240, 488, 129, 123, 132, 15198, 1299, 1318, 27112, 2240, 4473, 18117, 4054, 1125, 21090, 28721, 21687, 10125, 12462, 30647, 1125, 24028, 1125, 8166, 10499, 1234, 1188, 1158, 27112, 2240, 31738, 1119, 3266, 106, 106, 30609, 106, 106, 3562, 27112, 2240, 7132, 1265, 2548, 180, 1110, 1913, 16233, 2290, 23147, 1125, 1158, 1306, 23188, 2194, 1186, 3141, 488, 124, 132, 127, 131, 1186, 4083, 1309, 27112, 2240, 26438, 14889, 3450, 3031, 10499, 1303, 1188, 1158, 1264, 2100, 4480, 10238, 1835, 18934, 3942, 1289, 1167, 1170, 2383, 27761, 7112, 3450, 2985, 6349, 8363, 1303, 1188, 26012, 16208, 1125, 9293, 1304, 31620, 1188, 1561, 5735, 11345, 29254, 1125, 6480, 6507, 1293, 1157, 1231, 1170, 488, 125, 131, 2738, 488, 124, 132, 127, 131, 1576, 106, 106, 151, 1500, 1125, 1158, 6545, 1125, 22224, 1314, 1125, 488, 124, 132, 127, 131, 119, 1158, 27112, 2240, 7132, 1265, 2548, 180, 1110, 20888, 1317, 16228, 1167, 1317, 5136, 1125, 1158, 1264, 2100, 4480, 10238, 28033, 1158, 5552, 1227, 7130, 24950, 7224, 1199, 19627, 1496, 1317, 3151, 1693, 1511, 2714, 14772, 189, 1353, 119, 1188, 1282, 9298, 5941, 2433, 1167, 1188, 1282, 9298, 1350, 2886, 175, 2036, 106, 106, 1686, 2875, 488, 124, 132, 127, 132, 2750, 1158, 1622, 1125, 1158, 26634, 1158, 27112, 2240, 14994, 2985, 3175, 1199, 1140, 1303, 1469, 1158, 7759, 1197, 2905, 27112, 1217, 1457, 1643, 3643, 27112, 2240, 7132, 1265, 2548, 180, 1971, 1343, 1318, 27112, 2240, 23427, 7208, 1303, 1188, 1158, 3789, 1125, 1158, 23139, 2347, 1164, 2794, 121, 106, 106, 143, 16274, 1158, 6545, 1197, 19477, 1321, 1627, 1186, 488, 124, 132, 129, 130, 119, 1158, 27112, 2240, 7132, 1265, 2548, 180, 2985, 1158, 3453, 1188, 1466, 7971, 1207, 12251, 2347, 1164, 6542, 1300, 1170, 31738, 6871, 1867, 1816, 25772, 1158, 27112, 2240, 1110, 3294, 1191, 27765, 1197, 17230, 18536, 2347, 1164, 1462, 7706, 1309, 1222, 1379, 1124, 12472, 18934, 7002, 1142, 2726, 1204, 9604, 12256, 1810, 15545, 7130, 1125, 24944, 5567, 5639, 1125, 7360, 1203, 29416, 106, 106, 140, 2136, 1440, 12233, 6634, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 12700, 1197, 25180, 3051, 1227, 31738, 3100, 2757, 1158, 2989, 11894, 1125, 1266, 2564, 12472, 8306, 13286, 1303, 7328, 1158, 6545, 1227, 1518, 5216, 1157, 1125, 488, 124, 132, 130, 126, 119, 2585, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 4272, 1197, 13587, 190, 1227, 12319, 175, 5485, 2567, 1125, 4110, 1186, 3812, 1158, 3028, 1125, 5775, 1300, 1207, 25180, 3051, 1227, 31738, 6871, 106, 106, 216, 1158, 3011, 1125, 1158, 6545, 1125, 488, 124, 132, 130, 126, 119, 1158, 27112, 2240, 12242, 172, 1125, 3631, 1256, 1169, 1208, 3951, 1318, 27112, 2240, 4473, 18117, 4054, 121, 1548, 1874, 2985, 20540, 1186, 1606, 27112, 2240, 488, 129, 123, 132, 3133, 1167, 1170, 5759, 1160, 2985, 14663, 244, 1125, 1158, 2989, 1125, 9519, 179, 1202, 3382, 1188, 1158, 2989, 3288, 172, 3100, 2648, 1188, 1158, 2989, 1125, 1254, 1109, 11398, 1477, 5784, 106, 106, 143, 16274, 13488, 3054, 11894, 28721, 2794, 1317, 4839, 1119, 1125, 488, 124, 132, 131, 125, 119, 1158, 1606, 27112, 2240, 488, 129, 123, 132, 1524, 9524, 2052, 1313, 1158, 3734, 1125, 1222, 8087, 1167, 29813, 3847, 106, 106, 143, 16274, 1170, 18828, 24309, 20831, 120, 4430, 1119, 1298, 1125, 488, 125, 123, 123, 129, 119, 1158, 27112, 2240, 2985, 26589, 1313, 1158, 3734, 16341, 5907, 106, 106, 3159, 1150, 6028, 106, 106, 143, 6849, 488, 125, 123, 123, 123, 1703, 3110, 1188, 5685, 1170, 10001, 6353, 1124, 1289, 1110, 9053, 1189, 3477, 2888, 4283, 1318, 21203, 24119, 1125, 488, 124, 132, 132, 131, 1703, 1158, 27112, 2240, 1299, 1317, 4779, 2519, 16407, 6028, 1300, 1197, 12420, 10522, 1153, 2391, 1125, 1158, 1191, 8622, 24950, 7224, 1199, 19627, 1313, 1158, 7005, 1227, 488, 125, 125, 1317, 488, 125, 126, 2738, 488, 124, 132, 127, 131, 1215, 1197, 6626, 1125, 1158, 27112, 2240, 7132, 1265, 2548, 3266, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 140, 2643, 1265, 2548, 180, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 27112, 2240, 7132, 1265, 2548, 180, 13662, 1440, 2574, 24697, 7576, 24896, 1606, 27112, 2240, 488, 129, 123, 132, 15198, 1299, 1318, 27112, 2240, 4473, 18117, 4054, 1125, 21090, 28721, 21687, 10125, 12462, 30647, 1125, 24028, 1125, 8166, 10499, 1234, 1188, 1158, 27112, 2240, 31738, 1119, 3266, 106, 106, 30609, 106, 106, 3562, 27112, 2240, 7132, 1265, 2548, 180, 1110, 1913, 16233, 2290, 23147, 1125, 1158, 1306, 23188, 2194, 1186, 3141, 488, 124, 132, 127, 131, 1186, 4083, 1309, 27112, 2240, 26438, 14889, 3450, 3031, 10499, 1303, 1188, 1158, 1264, 2100, 4480, 10238, 1835, 18934, 3942, 1289, 1167, 1170, 2383, 27761, 7112, 3450, 2985, 6349, 8363, 1303, 1188, 26012, 16208, 1125, 9293, 1304, 31620, 1188, 1561, 5735, 11345, 29254, 1125, 6480, 6507, 1293, 1157, 1231, 1170, 488, 125, 131, 2738, 488, 124, 132, 127, 131, 1576, 106, 106, 151, 1500, 1125, 1158, 6545, 1125, 22224, 1314, 1125, 488, 124, 132, 127, 131, 119, 1158, 27112, 2240, 7132, 1265, 2548, 180, 1110, 20888, 1317, 16228, 1167, 1317, 5136, 1125, 1158, 1264, 2100, 4480, 10238, 28033, 1158, 5552, 1227, 7130, 24950, 7224, 1199, 19627, 1496, 1317, 3151, 1693, 1511, 2714, 14772, 189, 1353, 119, 1188, 1282, 9298, 5941, 2433, 1167, 1188, 1282, 9298, 1350, 2886, 175, 2036, 106, 106, 1686, 2875, 488, 124, 132, 127, 132, 2750, 1158, 1622, 1125, 1158, 26634, 1158, 27112, 2240, 14994, 2985, 3175, 1199, 1140, 1303, 1469, 1158, 7759, 1197, 2905, 27112, 1217, 1457, 1643, 3643, 27112, 2240, 7132, 1265, 2548, 180, 1971, 1343, 1318, 27112, 2240, 23427, 7208, 1303, 1188, 1158, 3789, 1125, 1158, 23139, 2347, 1164, 2794, 121, 106, 106, 143, 16274, 1158, 6545, 1197, 19477, 1321, 1627, 1186, 488, 124, 132, 129, 130, 119, 1158, 27112, 2240, 7132, 1265, 2548, 180, 2985, 1158, 3453, 1188, 1466, 7971, 1207, 12251, 2347, 1164, 6542, 1300, 1170, 31738, 6871, 1867, 1816, 25772, 1158, 27112, 2240, 1110, 3294, 1191, 27765, 1197, 17230, 18536, 2347, 1164, 1462, 7706, 1309, 1222, 1379, 1124, 12472, 18934, 7002, 1142, 2726, 1204, 9604, 12256, 1810, 15545, 7130, 1125, 24944, 5567, 5639, 1125, 7360, 1203, 29416, 106, 106, 140, 2136, 1440, 12233, 6634, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 12700, 1197, 25180, 3051, 1227, 31738, 3100, 2757, 1158, 2989, 11894, 1125, 1266, 2564, 12472, 8306, 13286, 1303, 7328, 1158, 6545, 1227, 1518, 5216, 1157, 1125, 488, 124, 132, 130, 126, 119, 2585, 1158, 27112, 2240, 2985, 7208, 1303, 1188, 1158, 4272, 1197, 13587, 190, 1227, 12319, 175, 5485, 2567, 1125, 4110, 1186, 3812, 1158, 3028, 1125, 5775, 1300, 1207, 25180, 3051, 1227, 31738, 6871, 106, 106, 216, 1158, 3011, 1125, 1158, 6545, 1125, 488, 124, 132, 130, 126, 119, 1158, 27112, 2240, 12242, 172, 1125, 3631, 1256, 1169, 1208, 3951, 1318, 27112, 2240, 4473, 18117, 4054, 121, 1548, 1874, 2985, 20540, 1186, 1606, 27112, 2240, 488, 129, 123, 132, 3133, 1167, 1170, 5759, 1160, 2985, 14663, 244, 1125, 1158, 2989, 1125, 9519, 179, 1202, 3382, 1188, 1158, 2989, 3288, 172, 3100, 2648, 1188, 1158, 2989, 1125, 1254, 1109, 11398, 1477, 5784, 106, 106, 143, 16274, 13488, 3054, 11894, 28721, 2794, 1317, 4839, 1119, 1125, 488, 124, 132, 131, 125, 119, 1158, 1606, 27112, 2240, 488, 129, 123, 132, 1524, 9524, 2052, 1313, 1158, 3734, 1125, 1222, 8087, 1167, 29813, 3847, 106, 106, 143, 16274, 1170, 18828, 24309, 20831, 120, 4430, 1119, 1298, 1125, 488, 125, 123, 123, 129, 119, 1158, 27112, 2240, 2985, 26589, 1313, 1158, 3734, 16341, 5907, 106, 106, 3159, 1150, 6028, 106, 106, 143, 6849, 488, 125, 123, 123, 123, 1703, 3110, 1188, 5685, 1170, 10001, 6353, 1124, 1289, 1110, 9053, 1189, 3477, 2888, 4283, 1318, 21203, 24119, 1125, 488, 124, 132, 132, 131, 1703, 1158, 27112, 2240, 1299, 1317, 4779, 2519, 16407, 6028, 1300, 1197, 12420, 10522, 1153, 2391, 1125, 1158, 1191, 8622, 24950, 7224, 1199, 19627, 1313, 1158, 7005, 1227, 488, 125, 125, 1317, 488, 125, 126, 2738, 488, 124, 132, 127, 131, 1215, 1197, 6626, 1125, 1158, 27112, 2240, 7132, 1265, 2548, 3266, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 140, 2643, 1265, 2548, 180, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 142, 196, 2691, 26408, 31980, 1812, 3031, 1189, 19366, 16338, 9400, 1300, 12516, 121, 106, 106, 141, 11741, 488, 106, 106, 158, 172, 9245, 2368, 1630, 1366, 1125, 488, 124, 132, 125, 132, 1188, 488, 124, 132, 126, 126, 121, 106, 106, 5164, 18900, 18812, 1170, 1248, 2450, 6745, 1267, 1198, 8529, 196, 1300, 1248, 25095, 29899, 1266, 1314, 116, 1186, 488, 124, 132, 126, 125, 1188, 31853, 1285, 29283, 3365, 24844, 1188, 7762, 21402, 1458, 10382, 20688, 1622, 4658, 2743, 6311, 1256, 1561, 6128, 5910, 1125, 4235, 2391, 1125, 1158, 6586, 10549, 1175, 1262, 1349, 1309, 3151, 1186, 488, 124, 132, 126, 124, 1576, 106, 106, 5164, 20235, 15735, 3295, 1469, 1158, 2076, 1557, 5161, 8483, 1197, 488, 125, 195, 124, 125, 2133, 1842, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 123, 1469, 488, 129, 1300, 1248, 25095, 17676, 16843, 488, 132, 119, 16934, 1227, 5623, 8276, 16939, 21511, 1504, 124, 121, 128, 151, 121, 1125, 2708, 27419, 7129, 1186, 488, 124, 132, 126, 124, 1469, 1158, 17676, 16843, 488, 132, 18505, 1158, 6280, 1121, 1243, 236, 191, 13121, 31114, 1571, 8897, 31522, 2487, 1527, 1299, 2072, 15953, 19495, 1186, 488, 124, 132, 125, 132, 2391, 1125, 1158, 3453, 9891, 1496, 1167, 24501, 1197, 488, 124, 488, 123, 123, 123, 13453, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 125, 1323, 1126, 1321, 5104, 488, 124, 488, 123, 123, 123, 1204, 3045, 1188, 11810, 120, 1469, 1594, 1417, 9736, 2303, 7132, 7496, 1292, 109, 15140, 17317, 9905, 4140, 25691, 1347, 1175, 1535, 1345, 1469, 1158, 1266, 1314, 1576, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 9605, 1254, 10668, 1105, 1167, 12183, 2691, 26408, 31980, 1812, 2391, 1227, 488, 124, 132, 126, 126, 1922, 8502, 1198, 159, 1175, 1326, 12451, 1125, 1867, 11421, 162, 1108, 10189, 3628, 106, 12183, 2691, 26408, 31980, 1812, 6700, 14046, 158, 4536, 142, 2289, 3628, 106, 1410, 17676, 16843, 1248, 3501, 6713, 176, 1174, 1222, 1901, 3628, 106, 488, 124, 132, 125, 132, 5623, 8276, 6713, 176, 1174, 1222, 1901, 119, 1167, 4092, 9643, 1576, 106, 106, 155, 1142, 2303, 16338, 9400, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 106, 5347, 1125, 13640, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 32001, 488, 106, 32000, 20036, 106, 114, 142, 196, 2691, 26408, 31980, 1812, 3031, 1189, 19366, 16338, 9400, 1300, 12516, 1297, 106, 106, 141, 11741, 488, 106, 106, 158, 172, 9245, 2368, 1630, 1366, 1125, 488, 124, 132, 125, 132, 1188, 488, 124, 132, 126, 126, 121, 106, 106, 5164, 18900, 18812, 1170, 1248, 2450, 6745, 1267, 1198, 8529, 196, 1300, 1248, 25095, 29899, 1266, 1314, 116, 1186, 488, 124, 132, 126, 125, 1188, 31853, 1285, 29283, 3365, 24844, 1188, 7762, 21402, 1458, 10382, 20688, 1622, 4658, 2743, 6311, 1256, 1561, 6128, 5910, 1125, 4235, 2391, 1125, 1158, 6586, 10549, 1175, 1262, 1349, 1309, 3151, 1186, 488, 124, 132, 126, 124, 1576, 106, 106, 5164, 20235, 15735, 3295, 1469, 1158, 2076, 1557, 5161, 8483, 1197, 488, 125, 195, 124, 125, 2133, 1842, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 123, 1469, 488, 129, 1300, 1248, 25095, 17676, 16843, 488, 132, 119, 16934, 1227, 5623, 8276, 16939, 21511, 1504, 124, 121, 128, 151, 121, 1125, 2708, 27419, 7129, 1186, 488, 124, 132, 126, 124, 1469, 1158, 17676, 16843, 488, 132, 18505, 1158, 6280, 1121, 1243, 236, 191, 13121, 31114, 1571, 8897, 31522, 2487, 1527, 1299, 2072, 15953, 19495, 1186, 488, 124, 132, 125, 132, 2391, 1125, 1158, 3453, 9891, 1496, 1167, 24501, 1197, 488, 124, 488, 123, 123, 123, 13453, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 125, 1323, 1126, 1321, 5104, 488, 124, 488, 123, 123, 123, 1204, 3045, 1188, 11810, 120, 1469, 1594, 1417, 9736, 2303, 7132, 7496, 1292, 109, 15140, 17317, 9905, 4140, 25691, 1347, 1175, 1535, 1345, 1469, 1158, 1266, 1314, 1576, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 9605, 1254, 10668, 1105, 1167, 12183, 2691, 26408, 31980, 1812, 2391, 1227, 488, 124, 132, 126, 126, 1922, 8502, 1198, 159, 1175, 1326, 12451, 1125, 1867, 11421, 162, 1108, 10189, 3628, 106, 488, 12183, 2691, 26408, 31980, 1812, 6700, 14046, 158, 4536, 142, 2289, 3628, 488, 106, 488, 1410, 17676, 16843, 1248, 3501, 6713, 176, 1174, 1222, 1901, 3628, 106, 488, 488, 124, 132, 125, 132, 5623, 8276, 6713, 176, 1174, 1222, 1901, 119, 1167, 4092, 9643, 1576, 106, 106, 155, 1142, 2303, 16338, 9400, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 106, 5347, 1125, 13640, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 142, 196, 2691, 26408, 31980, 1812, 3031, 1189, 19366, 16338, 9400, 1300, 12516, 1297, 106, 106, 141, 11741, 488, 106, 106, 158, 172, 9245, 2368, 1630, 1366, 1125, 488, 124, 132, 125, 132, 1188, 488, 124, 132, 126, 126, 121, 106, 106, 5164, 18900, 18812, 1170, 1248, 2450, 6745, 1267, 1198, 8529, 196, 1300, 1248, 25095, 29899, 1266, 1314, 116, 1186, 488, 124, 132, 126, 125, 1188, 31853, 1285, 29283, 3365, 24844, 1188, 7762, 21402, 1458, 10382, 20688, 1622, 4658, 2743, 6311, 1256, 1561, 6128, 5910, 1125, 4235, 2391, 1125, 1158, 6586, 10549, 1175, 1262, 1349, 1309, 3151, 1186, 488, 124, 132, 126, 124, 1576, 106, 106, 5164, 20235, 15735, 3295, 1469, 1158, 2076, 1557, 5161, 8483, 1197, 488, 125, 195, 124, 125, 2133, 1842, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 123, 1469, 488, 129, 1300, 1248, 25095, 17676, 16843, 488, 132, 119, 16934, 1227, 5623, 8276, 16939, 21511, 1504, 124, 121, 128, 151, 121, 1125, 2708, 27419, 7129, 1186, 488, 124, 132, 126, 124, 1469, 1158, 17676, 16843, 488, 132, 18505, 1158, 6280, 1121, 1243, 236, 191, 13121, 31114, 1571, 8897, 31522, 2487, 1527, 1299, 2072, 15953, 19495, 1186, 488, 124, 132, 125, 132, 2391, 1125, 1158, 3453, 9891, 1496, 1167, 24501, 1197, 488, 124, 488, 123, 123, 123, 13453, 1125, 17676, 16843, 1186, 488, 124, 132, 126, 125, 1323, 1126, 1321, 5104, 488, 124, 488, 123, 123, 123, 1204, 3045, 1188, 11810, 120, 1469, 1594, 1417, 9736, 2303, 7132, 7496, 1292, 109, 15140, 17317, 9905, 4140, 25691, 1347, 1175, 1535, 1345, 1469, 1158, 1266, 1314, 1576, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 9605, 1254, 10668, 1105, 1167, 12183, 2691, 26408, 31980, 1812, 2391, 1227, 488, 124, 132, 126, 126, 1922, 8502, 1198, 159, 1175, 1326, 12451, 1125, 1867, 11421, 162, 1108, 10189, 3628, 106, 488, 12183, 2691, 26408, 31980, 1812, 6700, 14046, 158, 4536, 142, 2289, 3628, 488, 106, 488, 1410, 17676, 16843, 1248, 3501, 6713, 176, 1174, 1222, 1901, 3628, 106, 488, 488, 124, 132, 125, 132, 5623, 8276, 6713, 176, 1174, 1222, 1901, 119, 1167, 4092, 9643, 1576, 106, 106, 155, 1142, 2303, 16338, 9400, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 106, 5347, 1125, 13640, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 11961, 15005, 1303, 19832, 12495, 1303, 1215, 1266, 16005, 244, 2114, 2599, 1108, 1370, 488, 124, 131, 123, 488, 123, 123, 123, 6626, 4643, 1234, 1186, 10600, 26154, 1167, 4071, 1797, 1123, 1982, 19054, 21090, 1574, 7478, 3556, 1313, 1170, 5941, 4653, 2567, 1309, 1207, 2674, 177, 4107, 1177, 21510, 20614, 15548, 121, 16321, 1188, 1318, 10096, 27788, 1266, 31846, 1110, 29756, 1318, 3828, 1618, 13221, 1357, 1110, 7545, 1158, 12128, 2519, 31895, 1574, 7478, 3556, 1125, 488, 129, 123, 488, 123, 123, 123, 2290, 1170, 4610, 27741, 30732, 1170, 488, 125, 123, 2822, 1188, 13848, 5862, 9142, 1170, 2510, 3983, 1125, 22840, 2007, 1574, 7478, 2624, 1313, 1158, 9625, 1188, 488, 126, 123, 488, 123, 123, 123, 121, 106, 106, 158, 5563, 1125, 1158, 9625, 133, 1192, 6274, 183, 11772, 488, 106, 3562, 14789, 1304, 160, 183, 184, 1288, 2367, 1382, 1622, 1188, 1158, 6545, 2648, 6055, 1515, 3828, 31895, 15393, 2290, 1207, 28024, 1125, 27899, 3004, 250, 183, 1518, 1261, 1118, 197, 1651, 1281, 13301, 1300, 1170, 5941, 4653, 1188, 29487, 1125, 1352, 28355, 1808, 8903, 1346, 1186, 2350, 6387, 1197, 31304, 1125, 2827, 6364, 2121, 1281, 11642, 1888, 2079, 21204, 2648, 1170, 8030, 1256, 12533, 1207, 20904, 1574, 7478, 11709, 1432, 10808, 1473, 1167, 7722, 1197, 2674, 177, 4107, 1177, 21510, 29511, 1125, 24088, 121, 1808, 7514, 1207, 8706, 4684, 1167, 1584, 2089, 2130, 9524, 1188, 31882, 1170, 488, 124, 126, 2578, 121, 1548, 488, 125, 31318, 1158, 14789, 1805, 1120, 1647, 1197, 7514, 1188, 1192, 6274, 183, 11772, 4047, 176, 1282, 4303, 19005, 1188, 1281, 15387, 1125, 1158, 6545, 1215, 1170, 16626, 1125, 5240, 10914, 1175, 125, 129, 2584, 1576, 106, 106, 141, 13449, 488, 106, 106, 158, 30017, 119, 10571, 173, 2305, 1410, 1266, 1301, 1731, 15845, 19585, 6296, 7940, 121, 31282, 9615, 179, 26574, 488, 124, 132, 132, 131, 121, 488, 106, 160, 1319, 1490, 8376, 15770, 121, 11023, 5881, 2314, 1161, 1135, 1266, 1301, 1731, 15845, 6832, 1297, 22017, 133, 3621, 1488, 184, 1848, 15853, 3145, 488, 125, 123, 123, 126, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 142, 1916, 2818, 5519, 16260, 1175, 124, 131, 123, 128, 116, 106, 30609, 11894, 1125, 1282, 4303, 19005, 32001, 488, 106, 32000, 20036, 106, 3562, 11961, 15005, 1303, 19832, 12495, 1303, 1215, 1266, 16005, 244, 2114, 2599, 1108, 1370, 488, 124, 131, 123, 488, 123, 123, 123, 6626, 4643, 1234, 1186, 10600, 26154, 1167, 4071, 1797, 1123, 1982, 19054, 21090, 1574, 7478, 3556, 1313, 1170, 5941, 4653, 2567, 1309, 1207, 2674, 177, 4107, 1177, 21510, 20614, 15548, 121, 16321, 1188, 1318, 10096, 27788, 1266, 31846, 1110, 29756, 1318, 3828, 1618, 13221, 1357, 2856, 1158, 12128, 2519, 31895, 1574, 7478, 3556, 1125, 488, 129, 123, 488, 123, 123, 123, 2290, 1170, 4610, 27741, 30732, 1170, 488, 125, 123, 2822, 1188, 13848, 5862, 9142, 1170, 2510, 3983, 1125, 22840, 2007, 1574, 7478, 2624, 1313, 1158, 9625, 1188, 488, 126, 123, 488, 123, 123, 123, 121, 106, 106, 158, 5563, 1125, 1158, 9625, 133, 1192, 6274, 183, 11772, 488, 106, 3562, 14789, 1304, 160, 183, 184, 1288, 2367, 1382, 1622, 1188, 1158, 6545, 2648, 6055, 1515, 3828, 31895, 15393, 2290, 1207, 28024, 1125, 27899, 3004, 250, 183, 1518, 1261, 1118, 197, 1651, 1281, 13301, 1300, 1170, 5941, 4653, 1188, 29487, 1125, 1352, 28355, 1808, 8903, 1346, 1186, 2350, 6387, 1197, 31304, 1125, 2827, 6364, 2121, 1281, 11642, 1888, 2079, 21204, 2648, 1170, 8030, 1256, 12533, 1207, 20904, 1574, 7478, 11709, 1432, 10808, 1473, 1167, 7722, 1197, 2674, 177, 4107, 1177, 21510, 29511, 1125, 24088, 121, 1808, 7514, 1207, 8706, 4684, 1167, 1584, 2089, 2130, 9524, 1188, 31882, 1170, 488, 124, 126, 2578, 121, 1548, 488, 125, 31318, 1158, 14789, 1805, 1120, 1647, 1197, 7514, 1188, 1192, 6274, 183, 11772, 4047, 176, 1282, 4303, 19005, 1188, 1281, 15387, 1125, 1158, 6545, 1215, 1170, 16626, 1125, 5240, 10914, 1175, 125, 129, 2584, 1576, 106, 106, 141, 13449, 488, 106, 106, 158, 30017, 119, 10571, 173, 2305, 1410, 1266, 1301, 1731, 15845, 19585, 6296, 7940, 121, 31282, 9615, 179, 26574, 488, 124, 132, 132, 131, 121, 488, 106, 1405, 1319, 1490, 8376, 15770, 121, 11023, 5881, 2314, 1161, 1135, 1266, 1301, 1731, 15845, 6832, 1297, 22017, 133, 3621, 1488, 184, 1848, 15853, 3145, 488, 125, 123, 123, 126, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 142, 1916, 2818, 5519, 16260, 1175, 124, 131, 123, 128, 116, 106, 30609, 11894, 1125, 1282, 4303, 19005, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 11961, 15005, 1303, 19832, 12495, 1303, 1215, 1266, 16005, 244, 2114, 2599, 1108, 1370, 488, 124, 131, 123, 488, 123, 123, 123, 6626, 4643, 1234, 1186, 10600, 26154, 1167, 4071, 1797, 1123, 1982, 19054, 21090, 1574, 7478, 3556, 1313, 1170, 5941, 4653, 2567, 1309, 1207, 2674, 177, 4107, 1177, 21510, 20614, 15548, 121, 16321, 1188, 1318, 10096, 27788, 1266, 31846, 1110, 29756, 1318, 3828, 1618, 13221, 1357, 2856, 1158, 12128, 2519, 31895, 1574, 7478, 3556, 1125, 488, 129, 123, 488, 123, 123, 123, 2290, 1170, 4610, 27741, 30732, 1170, 488, 125, 123, 2822, 1188, 13848, 5862, 9142, 1170, 2510, 3983, 1125, 22840, 2007, 1574, 7478, 2624, 1313, 1158, 9625, 1188, 488, 126, 123, 488, 123, 123, 123, 121, 106, 106, 158, 5563, 1125, 1158, 9625, 133, 1192, 6274, 183, 11772, 488, 106, 3562, 14789, 1304, 160, 183, 184, 1288, 2367, 1382, 1622, 1188, 1158, 6545, 2648, 6055, 1515, 3828, 31895, 15393, 2290, 1207, 28024, 1125, 27899, 3004, 250, 183, 1518, 1261, 1118, 197, 1651, 1281, 13301, 1300, 1170, 5941, 4653, 1188, 29487, 1125, 1352, 28355, 1808, 8903, 1346, 1186, 2350, 6387, 1197, 31304, 1125, 2827, 6364, 2121, 1281, 11642, 1888, 2079, 21204, 2648, 1170, 8030, 1256, 12533, 1207, 20904, 1574, 7478, 11709, 1432, 10808, 1473, 1167, 7722, 1197, 2674, 177, 4107, 1177, 21510, 29511, 1125, 24088, 121, 1808, 7514, 1207, 8706, 4684, 1167, 1584, 2089, 2130, 9524, 1188, 31882, 1170, 488, 124, 126, 2578, 121, 1548, 488, 125, 31318, 1158, 14789, 1805, 1120, 1647, 1197, 7514, 1188, 1192, 6274, 183, 11772, 4047, 176, 1282, 4303, 19005, 1188, 1281, 15387, 1125, 1158, 6545, 1215, 1170, 16626, 1125, 5240, 10914, 1175, 125, 129, 2584, 1576, 106, 106, 141, 13449, 488, 106, 106, 158, 30017, 119, 10571, 173, 2305, 1410, 1266, 1301, 1731, 15845, 19585, 6296, 7940, 121, 31282, 9615, 179, 26574, 488, 124, 132, 132, 131, 121, 488, 106, 1405, 1319, 1490, 8376, 15770, 121, 11023, 5881, 2314, 1161, 1135, 1266, 1301, 1731, 15845, 6832, 1297, 22017, 133, 3621, 1488, 184, 1848, 15853, 3145, 488, 125, 123, 123, 126, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 142, 1916, 2818, 5519, 16260, 1175, 124, 131, 123, 128, 116, 106, 30609, 11894, 1125, 1282, 4303, 19005, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 152, 7060, 5763, 1216, 8255, 5252, 1170, 488, 126, 124, 2749, 488, 124, 132, 128, 128, 119, 1299, 1189, 4607, 1354, 15173, 15560, 1227, 2854, 1765, 20196, 7165, 1768, 1299, 8328, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1125, 488, 125, 123, 124, 127, 1188, 488, 125, 123, 125, 124, 1167, 13787, 1188, 21455, 14673, 120, 15440, 8157, 2733, 18424, 106, 106, 141, 180, 1307, 14192, 1214, 106, 106, 140, 1327, 243, 2782, 8776, 1277, 1594, 7874, 178, 25910, 1313, 1115, 244, 4092, 488, 124, 132, 130, 123, 1188, 15714, 5519, 1757, 28739, 7604, 4377, 1527, 2024, 1117, 2322, 1561, 21203, 1186, 488, 124, 132, 131, 126, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 3056, 1346, 29693, 1215, 23823, 27398, 1122, 1167, 1594, 1166, 2286, 5883, 1188, 29693, 1197, 12339, 1186, 488, 124, 132, 132, 128, 2024, 1158, 4595, 1125, 21686, 1233, 1514, 9556, 1188, 21455, 1202, 12957, 12898, 3441, 10584, 1767, 121, 1768, 1299, 4208, 12397, 120, 2021, 1512, 1136, 1188, 21455, 14673, 120, 15440, 8157, 2733, 1467, 2757, 488, 124, 132, 132, 123, 121, 106, 106, 5164, 1299, 1874, 1707, 6711, 12546, 1125, 26341, 11631, 4192, 1125, 2315, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 141, 4807, 1307, 14192, 1214, 106, 121, 106, 121, 106, 106, 20634, 1253, 10250, 2339, 106, 106, 28870, 16718, 106, 106, 147, 7569, 1354, 2720, 1227, 12136, 3555, 6298, 106, 147, 7569, 1354, 2720, 1227, 12136, 25525, 6298, 106, 153, 3400, 1186, 2749, 488, 124, 132, 128, 128, 106, 8857, 1829, 1238, 1121, 1369, 1125, 26341, 24119, 1125, 2315, 4297, 32001, 488, 106, 32000, 20036, 106, 152, 7060, 5763, 1216, 8255, 5252, 1170, 488, 126, 124, 2749, 488, 124, 132, 128, 128, 119, 1299, 1189, 4607, 1354, 15173, 15560, 1227, 2854, 1765, 20196, 7165, 1768, 1299, 8328, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1125, 488, 125, 123, 124, 127, 1188, 488, 125, 123, 125, 124, 1167, 13787, 1188, 21455, 14673, 120, 15440, 8157, 2733, 18424, 106, 106, 141, 11741, 106, 106, 140, 2136, 2782, 15363, 1594, 7874, 19311, 1313, 1207, 4092, 488, 124, 132, 130, 123, 1188, 15714, 5519, 1757, 28739, 7604, 4377, 1527, 21635, 1561, 21203, 1186, 488, 124, 132, 131, 126, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 3056, 1346, 12495, 1303, 1215, 23823, 27398, 1122, 1167, 1594, 1166, 2286, 5883, 1188, 12495, 1107, 1197, 12339, 1186, 488, 124, 132, 132, 128, 2290, 1158, 4595, 1125, 21686, 1233, 1514, 9556, 1188, 21455, 1202, 12957, 12898, 3441, 10584, 1767, 121, 1768, 1299, 4208, 12397, 120, 2021, 1512, 1136, 1188, 21455, 14673, 120, 15440, 8157, 2733, 1467, 2757, 488, 124, 132, 132, 123, 121, 106, 106, 5164, 1299, 12688, 6711, 12546, 1125, 26341, 11631, 4192, 1125, 2315, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 141, 13449, 106, 121, 106, 121, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 147, 7569, 1354, 2720, 1227, 23841, 6298, 106, 147, 7569, 1354, 2720, 1227, 12136, 25525, 6298, 106, 153, 3400, 1186, 2749, 488, 124, 132, 128, 128, 106, 8857, 1829, 12886, 1369, 1125, 26341, 24119, 1125, 2315, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 152, 7060, 5763, 1216, 8255, 5252, 1170, 488, 126, 124, 2749, 488, 124, 132, 128, 128, 119, 1299, 1189, 4607, 1354, 15173, 15560, 1227, 2854, 1765, 20196, 7165, 1768, 1299, 8328, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1125, 488, 125, 123, 124, 127, 1188, 488, 125, 123, 125, 124, 1167, 13787, 1188, 21455, 14673, 120, 15440, 8157, 2733, 18424, 106, 106, 141, 11741, 106, 106, 140, 2136, 2782, 15363, 1594, 7874, 19311, 1313, 1207, 4092, 488, 124, 132, 130, 123, 1188, 15714, 5519, 1757, 28739, 7604, 4377, 1527, 21635, 1561, 21203, 1186, 488, 124, 132, 131, 126, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 3056, 1346, 12495, 1303, 1215, 23823, 27398, 1122, 1167, 1594, 1166, 2286, 5883, 1188, 12495, 1107, 1197, 12339, 1186, 488, 124, 132, 132, 128, 2290, 1158, 4595, 1125, 21686, 1233, 1514, 9556, 1188, 21455, 1202, 12957, 12898, 3441, 10584, 1767, 121, 1768, 1299, 4208, 12397, 120, 2021, 1512, 1136, 1188, 21455, 14673, 120, 15440, 8157, 2733, 1467, 2757, 488, 124, 132, 132, 123, 121, 106, 106, 5164, 1299, 12688, 6711, 12546, 1125, 26341, 11631, 4192, 1125, 2315, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 141, 13449, 106, 121, 106, 121, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 147, 7569, 1354, 2720, 1227, 23841, 6298, 106, 147, 7569, 1354, 2720, 1227, 12136, 25525, 6298, 106, 153, 3400, 1186, 2749, 488, 124, 132, 128, 128, 106, 8857, 1829, 12886, 1369, 1125, 26341, 24119, 1125, 2315, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 18263, 1183, 1365, 1227, 488, 124, 129, 3012, 1299, 1189, 4170, 11047, 3202, 1132, 1357, 2008, 8866, 31075, 1317, 3564, 16003, 2104, 3672, 1158, 16880, 12507, 14610, 1457, 3767, 3285, 1125, 3371, 1332, 1117, 4986, 1189, 1251, 20042, 6133, 244, 1675, 24457, 1262, 1167, 1189, 3351, 1857, 1107, 1138, 1687, 26839, 2004, 8308, 244, 1170, 28353, 1109, 10816, 1405, 141, 120, 130, 123, 121, 10984, 1186, 3192, 1110, 1913, 4400, 1356, 2357, 1313, 1189, 7790, 9058, 1856, 2081, 18926, 2851, 2567, 1304, 8050, 1152, 8584, 15828, 1207, 26921, 1125, 6545, 10581, 1234, 6058, 2180, 175, 1837, 11884, 16682, 1234, 1170, 28353, 1109, 10816, 121, 106, 106, 3742, 1365, 106, 2606, 488, 124, 129, 3012, 119, 1170, 2024, 4540, 1109, 10816, 1405, 141, 120, 130, 123, 1110, 29272, 1234, 1508, 2515, 1304, 12340, 244, 1186, 14345, 12650, 1256, 1158, 26617, 244, 244, 1110, 1158, 1622, 1125, 1158, 16880, 12507, 14610, 1457, 6280, 5601, 3031, 1125, 29756, 1197, 9590, 1125, 6545, 28353, 1314, 2130, 23271, 2714, 1207, 8945, 1304, 1301, 16952, 2116, 2500, 10581, 4321, 11129, 2714, 1207, 5997, 5989, 9320, 5580, 1457, 106, 106, 3466, 3362, 1996, 1125, 7298, 1300, 1158, 8246, 2984, 1125, 1282, 6656, 120, 130, 123, 119, 1995, 1440, 1139, 1234, 191, 3365, 7457, 1913, 1186, 9590, 2714, 1189, 4062, 1593, 1125, 13210, 1123, 2961, 1525, 10581, 1234, 1317, 3564, 16003, 6954, 1548, 488, 124, 129, 3012, 119, 2079, 488, 124, 130, 179, 123, 123, 1170, 1251, 20042, 1675, 24457, 1262, 3569, 158, 1200, 3881, 1105, 4741, 4021, 244, 1215, 10290, 10787, 15027, 1770, 2582, 119, 1167, 1170, 13473, 1107, 1138, 1687, 26839, 1306, 6460, 7092, 1142, 11659, 5871, 1315, 1370, 1189, 4062, 1593, 1125, 1233, 6787, 1148, 1188, 23242, 5663, 1213, 13625, 2312, 8308, 7085, 1282, 6656, 120, 130, 123, 119, 1357, 11102, 8170, 1370, 1188, 1982, 2053, 1250, 1300, 1170, 27214, 15069, 11181, 2097, 16814, 1459, 19436, 18856, 1768, 1299, 11103, 2638, 1309, 1170, 2024, 4540, 1109, 19281, 1370, 2666, 1170, 16547, 1405, 120, 126, 131, 119, 9346, 4716, 1913, 18668, 6606, 1227, 1139, 10702, 3277, 1304, 1428, 19436, 18856, 106, 106, 2606, 2024, 4540, 1109, 1110, 18358, 197, 1197, 7566, 187, 3023, 1167, 1110, 1919, 3134, 1317, 2864, 1188, 1318, 14132, 1170, 27214, 6805, 121, 1548, 27214, 1459, 19436, 1468, 1110, 4766, 2053, 1250, 1167, 1110, 13551, 1188, 2077, 1333, 2996, 1548, 27214, 15069, 3031, 1618, 4970, 2886, 5824, 1215, 1189, 2510, 18596, 1277, 1125, 1557, 6796, 2487, 4093, 1238, 1913, 1111, 14127, 1362, 9814, 3392, 1167, 5610, 2004, 2271, 3622, 1568, 1469, 1170, 3202, 1187, 1457, 1808, 19878, 1701, 7469, 1370, 1823, 1710, 1157, 1153, 1300, 1170, 13587, 1227, 3202, 30348, 1362, 1313, 1207, 14822, 1571, 27316, 1157, 121, 12829, 488, 124, 130, 179, 126, 128, 119, 1207, 26921, 1125, 6545, 10581, 1234, 2032, 1790, 1450, 1170, 28353, 4537, 106, 106, 158, 3015, 1197, 4341, 1953, 21469, 4613, 2904, 2944, 1170, 3569, 158, 1200, 3881, 21239, 1362, 1170, 1306, 6460, 7092, 1142, 11659, 2004, 15231, 1178, 1303, 1170, 28353, 1109, 10816, 119, 1357, 1110, 3042, 6475, 1303, 1188, 2368, 26843, 2318, 1107, 1167, 1188, 1131, 7325, 121, 3559, 16853, 1104, 2368, 1462, 192, 1289, 1123, 3672, 24385, 19796, 1167, 3171, 24333, 5493, 4690, 2059, 1212, 18561, 2252, 15935, 14675, 1469, 6728, 1303, 1300, 1170, 28353, 1109, 19372, 5299, 1186, 22952, 119, 7328, 1440, 11471, 1139, 8779, 1125, 27636, 24889, 242, 1298, 1188, 27165, 1186, 6300, 121, 106, 106, 26692, 1170, 2024, 4540, 1109, 1256, 1210, 1322, 1370, 3031, 1906, 1170, 16547, 1405, 120, 126, 131, 119, 1527, 6739, 1382, 2077, 2495, 1188, 1440, 3013, 26819, 1113, 1670, 1134, 1142, 1131, 2505, 19756, 1571, 7514, 1186, 488, 124, 132, 124, 132, 121, 106, 106, 8925, 2603, 5702, 106, 106, 140, 2136, 2782, 28617, 1234, 8989, 3618, 2077, 2495, 1170, 2024, 4540, 1109, 19372, 184, 2433, 1207, 26921, 1200, 3881, 21239, 1167, 7092, 1142, 11659, 1281, 12495, 1107, 1129, 1188, 1158, 31756, 2079, 5753, 1395, 1532, 1125, 17289, 19436, 18856, 1808, 27214, 11181, 2097, 1167, 1675, 24457, 1925, 2004, 1710, 1157, 1153, 4345, 19878, 1701, 1167, 1207, 2004, 1895, 8676, 1234, 1313, 1189, 2515, 31517, 12907, 1188, 2068, 6954, 106, 106, 17971, 4319, 119, 27736, 7256, 1110, 1913, 14014, 3521, 3649, 1856, 1189, 11047, 2081, 18926, 2851, 1723, 2750, 1158, 13991, 6712, 1207, 12653, 2004, 7650, 1309, 1170, 28353, 1109, 1405, 141, 120, 130, 123, 23210, 6349, 1408, 1844, 8508, 1125, 2435, 1167, 1207, 26921, 1675, 24457, 1925, 1167, 1138, 1687, 1119, 2097, 2004, 8217, 1197, 1166, 1767, 1392, 1256, 1964, 14789, 121, 106, 106, 6880, 1183, 1365, 1317, 3564, 1125, 27542, 17276, 1299, 18717, 6113, 1197, 22222, 1139, 10702, 3277, 20721, 2335, 28353, 1109, 10816, 1215, 1189, 27214, 1675, 24457, 1262, 2391, 1125, 1964, 6001, 9085, 1188, 1158, 6545, 3202, 3850, 3066, 1170, 1405, 141, 120, 130, 123, 1110, 1913, 16682, 15801, 1527, 2368, 16050, 3144, 1227, 4374, 27214, 9918, 1188, 2782, 1913, 2077, 2495, 1215, 1189, 27214, 1675, 24457, 1262, 1313, 1207, 14822, 3320, 17432, 244, 6542, 3672, 1170, 12233, 5210, 488, 106, 106, 20634, 1167, 1169, 4811, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 488, 106, 147, 15376, 1227, 27214, 1300, 6956, 6474, 1342, 11442, 13966, 106, 106, 152, 1558, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 1125, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 16880, 12507, 5549, 2137, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 4592, 9915, 1348, 189, 3948, 1303, 106, 155, 1741, 1469, 1197, 1441, 19297, 2081, 1826, 1277, 32001, 488, 106, 32000, 20036, 106, 18263, 2535, 1227, 488, 124, 129, 3012, 1299, 1189, 4170, 11047, 3202, 1132, 1357, 8135, 8866, 5012, 1317, 3564, 16003, 2104, 3672, 1158, 16880, 12507, 5549, 5907, 3767, 3285, 1125, 1816, 25110, 1189, 1251, 20042, 6133, 244, 8403, 1167, 1189, 13473, 1107, 14898, 2004, 8308, 244, 1170, 28353, 1109, 10816, 1405, 141, 120, 130, 123, 121, 10984, 11047, 1110, 1913, 4400, 1356, 2357, 1313, 1189, 3151, 9058, 1856, 2081, 18926, 2851, 2567, 9033, 1152, 8584, 15828, 1207, 26921, 1125, 6545, 10581, 1234, 6058, 2180, 175, 1837, 11884, 2077, 5012, 1170, 28353, 1109, 10816, 121, 106, 106, 6082, 106, 2606, 488, 124, 129, 3012, 119, 1170, 28353, 1109, 10816, 1405, 141, 120, 130, 123, 1110, 30119, 1594, 2515, 22704, 2291, 1186, 17490, 1256, 1158, 26617, 1303, 1188, 1158, 1622, 1125, 1158, 16880, 12507, 5549, 5907, 6280, 5601, 3031, 1125, 18314, 1197, 9590, 1125, 6545, 28353, 1314, 2130, 23271, 2714, 1207, 18122, 5751, 1150, 27875, 10581, 4321, 11129, 2714, 1207, 5997, 5989, 17779, 1297, 106, 106, 3466, 9811, 1996, 1125, 7298, 1300, 1158, 26371, 1125, 1282, 6656, 120, 130, 123, 119, 1995, 1440, 4249, 3365, 7457, 1913, 1186, 9590, 2714, 1189, 4062, 1593, 1125, 13210, 1123, 2961, 1160, 10581, 244, 1317, 3564, 16003, 6954, 1548, 488, 124, 129, 3012, 119, 2079, 488, 124, 130, 179, 123, 123, 1170, 1251, 20042, 8403, 3569, 158, 1200, 3881, 1105, 4741, 4021, 244, 1215, 10290, 10787, 15027, 1770, 2582, 119, 1167, 1170, 13473, 1107, 14898, 1306, 6460, 7092, 1142, 11659, 5871, 1315, 2457, 1189, 4062, 1593, 1125, 1233, 6787, 1148, 1188, 23242, 5663, 28644, 13625, 2312, 8308, 7085, 1282, 6656, 120, 130, 123, 119, 1357, 11102, 189, 2657, 1370, 1188, 1982, 8008, 1300, 1170, 27214, 15069, 14898, 16814, 1459, 19436, 18856, 1768, 1299, 11103, 2638, 1309, 1170, 28353, 1109, 4771, 9857, 2666, 1170, 16547, 1405, 120, 126, 131, 119, 9346, 4716, 1913, 18668, 6606, 1227, 1139, 10702, 3277, 1304, 1428, 19436, 18856, 106, 106, 2606, 28353, 1109, 1110, 25333, 1197, 7566, 187, 3023, 1167, 1110, 1919, 3134, 1317, 2864, 1188, 1318, 14132, 1170, 27214, 6805, 121, 1548, 27214, 1459, 19436, 1468, 1110, 4766, 8008, 1167, 1110, 13551, 1188, 16682, 1657, 1548, 27214, 15069, 3031, 1618, 4281, 1568, 1215, 1189, 2510, 18596, 192, 1125, 1557, 6796, 2487, 4345, 2004, 1913, 3316, 1234, 1362, 9814, 3392, 1167, 4864, 2004, 2372, 173, 1568, 1469, 1170, 3202, 21162, 1808, 19878, 1701, 7469, 2457, 9033, 1710, 1157, 1153, 1300, 1170, 13587, 1227, 3202, 6785, 1362, 1313, 1207, 14822, 1571, 27316, 31208, 12829, 488, 124, 130, 179, 126, 128, 119, 1207, 26921, 1125, 6545, 10581, 1234, 2032, 1790, 7085, 1170, 28353, 4537, 106, 106, 158, 3015, 1197, 4341, 1953, 21469, 4613, 2904, 2944, 1170, 3569, 158, 1200, 3881, 21239, 1362, 1170, 1306, 6460, 7092, 1142, 11659, 2004, 15231, 1178, 244, 1170, 28353, 1109, 10816, 119, 1357, 1110, 3042, 13551, 1188, 2368, 30925, 2104, 1167, 1188, 25913, 11456, 3559, 26600, 2368, 1462, 192, 1289, 1123, 3672, 24385, 19796, 1167, 3171, 24333, 5493, 4690, 2059, 1212, 18561, 1314, 15935, 10152, 1473, 1469, 9672, 1300, 1170, 28353, 1109, 19372, 3679, 1186, 22952, 119, 7328, 1440, 11471, 1139, 24824, 1125, 27636, 8718, 1188, 27165, 1186, 6300, 121, 106, 106, 26692, 1170, 28353, 1109, 1256, 1210, 29413, 3031, 1906, 1170, 16547, 1405, 120, 126, 131, 119, 1527, 6739, 1382, 2077, 5012, 1188, 1440, 3013, 26819, 2648, 31249, 2985, 19756, 1571, 7514, 1186, 488, 124, 132, 124, 132, 121, 106, 106, 8925, 2603, 2027, 106, 106, 140, 2136, 2782, 28617, 244, 8989, 9442, 2077, 5012, 1170, 28353, 1109, 19372, 184, 2433, 1207, 26921, 1200, 3881, 21239, 1167, 7092, 1142, 11659, 1281, 12495, 7085, 1188, 1158, 31756, 2079, 10399, 1435, 1125, 17289, 19436, 18856, 1808, 26921, 11181, 2097, 1167, 28741, 2004, 1710, 1157, 192, 4345, 19878, 1701, 1167, 1207, 2004, 1895, 8676, 1234, 1313, 1189, 2515, 1675, 2433, 12907, 1188, 2068, 6954, 106, 106, 17971, 4319, 119, 27736, 2154, 1110, 1913, 14014, 3521, 3649, 1856, 1189, 11047, 2081, 18926, 2851, 1723, 2750, 1158, 26634, 1207, 12653, 2004, 8922, 1309, 1170, 28353, 1109, 1405, 141, 120, 130, 123, 23210, 6349, 1408, 1844, 8508, 1125, 2435, 1167, 1207, 26921, 28741, 1167, 11181, 2097, 2004, 8217, 1197, 1166, 1767, 1392, 1256, 1964, 14789, 121, 106, 106, 6880, 2535, 1317, 3564, 1125, 27542, 17276, 1299, 18717, 6113, 1197, 22222, 1139, 10702, 9172, 6672, 1234, 2335, 28353, 1109, 10816, 1215, 1189, 27214, 8403, 2391, 1125, 1964, 19705, 9085, 1188, 1158, 6545, 3202, 5907, 3066, 1170, 1405, 141, 120, 130, 123, 1110, 1913, 16682, 2357, 1527, 2368, 16050, 3144, 1227, 4374, 27214, 9918, 1188, 2782, 1913, 2077, 5012, 1215, 1189, 27214, 8403, 1313, 1207, 14822, 3320, 17432, 244, 6542, 3672, 1170, 12233, 5210, 488, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 488, 106, 147, 15376, 1227, 27214, 1300, 6956, 6474, 1342, 11442, 13966, 106, 106, 152, 1558, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 1125, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 16880, 12507, 10999, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 4592, 26617, 1303, 106, 155, 1741, 1469, 1197, 1441, 19297, 2081, 1826, 1813, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 18263, 2535, 1227, 488, 124, 129, 3012, 1299, 1189, 4170, 11047, 3202, 1132, 1357, 8135, 8866, 5012, 1317, 3564, 16003, 2104, 3672, 1158, 16880, 12507, 5549, 5907, 3767, 3285, 1125, 1816, 25110, 1189, 1251, 20042, 6133, 244, 8403, 1167, 1189, 13473, 1107, 14898, 2004, 8308, 244, 1170, 28353, 1109, 10816, 1405, 141, 120, 130, 123, 121, 10984, 11047, 1110, 1913, 4400, 1356, 2357, 1313, 1189, 3151, 9058, 1856, 2081, 18926, 2851, 2567, 9033, 1152, 8584, 15828, 1207, 26921, 1125, 6545, 10581, 1234, 6058, 2180, 175, 1837, 11884, 2077, 5012, 1170, 28353, 1109, 10816, 121, 106, 106, 6082, 106, 2606, 488, 124, 129, 3012, 119, 1170, 28353, 1109, 10816, 1405, 141, 120, 130, 123, 1110, 30119, 1594, 2515, 22704, 2291, 1186, 17490, 1256, 1158, 26617, 1303, 1188, 1158, 1622, 1125, 1158, 16880, 12507, 5549, 5907, 6280, 5601, 3031, 1125, 18314, 1197, 9590, 1125, 6545, 28353, 1314, 2130, 23271, 2714, 1207, 18122, 5751, 1150, 27875, 10581, 4321, 11129, 2714, 1207, 5997, 5989, 17779, 1297, 106, 106, 3466, 9811, 1996, 1125, 7298, 1300, 1158, 26371, 1125, 1282, 6656, 120, 130, 123, 119, 1995, 1440, 4249, 3365, 7457, 1913, 1186, 9590, 2714, 1189, 4062, 1593, 1125, 13210, 1123, 2961, 1160, 10581, 244, 1317, 3564, 16003, 6954, 1548, 488, 124, 129, 3012, 119, 2079, 488, 124, 130, 179, 123, 123, 1170, 1251, 20042, 8403, 3569, 158, 1200, 3881, 1105, 4741, 4021, 244, 1215, 10290, 10787, 15027, 1770, 2582, 119, 1167, 1170, 13473, 1107, 14898, 1306, 6460, 7092, 1142, 11659, 5871, 1315, 2457, 1189, 4062, 1593, 1125, 1233, 6787, 1148, 1188, 23242, 5663, 28644, 13625, 2312, 8308, 7085, 1282, 6656, 120, 130, 123, 119, 1357, 11102, 189, 2657, 1370, 1188, 1982, 8008, 1300, 1170, 27214, 15069, 14898, 16814, 1459, 19436, 18856, 1768, 1299, 11103, 2638, 1309, 1170, 28353, 1109, 4771, 9857, 2666, 1170, 16547, 1405, 120, 126, 131, 119, 9346, 4716, 1913, 18668, 6606, 1227, 1139, 10702, 3277, 1304, 1428, 19436, 18856, 106, 106, 2606, 28353, 1109, 1110, 25333, 1197, 7566, 187, 3023, 1167, 1110, 1919, 3134, 1317, 2864, 1188, 1318, 14132, 1170, 27214, 6805, 121, 1548, 27214, 1459, 19436, 1468, 1110, 4766, 8008, 1167, 1110, 13551, 1188, 16682, 1657, 1548, 27214, 15069, 3031, 1618, 4281, 1568, 1215, 1189, 2510, 18596, 192, 1125, 1557, 6796, 2487, 4345, 2004, 1913, 3316, 1234, 1362, 9814, 3392, 1167, 4864, 2004, 2372, 173, 1568, 1469, 1170, 3202, 21162, 1808, 19878, 1701, 7469, 2457, 9033, 1710, 1157, 1153, 1300, 1170, 13587, 1227, 3202, 6785, 1362, 1313, 1207, 14822, 1571, 27316, 31208, 12829, 488, 124, 130, 179, 126, 128, 119, 1207, 26921, 1125, 6545, 10581, 1234, 2032, 1790, 7085, 1170, 28353, 4537, 106, 106, 158, 3015, 1197, 4341, 1953, 21469, 4613, 2904, 2944, 1170, 3569, 158, 1200, 3881, 21239, 1362, 1170, 1306, 6460, 7092, 1142, 11659, 2004, 15231, 1178, 244, 1170, 28353, 1109, 10816, 119, 1357, 1110, 3042, 13551, 1188, 2368, 30925, 2104, 1167, 1188, 25913, 11456, 3559, 26600, 2368, 1462, 192, 1289, 1123, 3672, 24385, 19796, 1167, 3171, 24333, 5493, 4690, 2059, 1212, 18561, 1314, 15935, 10152, 1473, 1469, 9672, 1300, 1170, 28353, 1109, 19372, 3679, 1186, 22952, 119, 7328, 1440, 11471, 1139, 24824, 1125, 27636, 8718, 1188, 27165, 1186, 6300, 121, 106, 106, 26692, 1170, 28353, 1109, 1256, 1210, 29413, 3031, 1906, 1170, 16547, 1405, 120, 126, 131, 119, 1527, 6739, 1382, 2077, 5012, 1188, 1440, 3013, 26819, 2648, 31249, 2985, 19756, 1571, 7514, 1186, 488, 124, 132, 124, 132, 121, 106, 106, 8925, 2603, 2027, 106, 106, 140, 2136, 2782, 28617, 244, 8989, 9442, 2077, 5012, 1170, 28353, 1109, 19372, 184, 2433, 1207, 26921, 1200, 3881, 21239, 1167, 7092, 1142, 11659, 1281, 12495, 7085, 1188, 1158, 31756, 2079, 10399, 1435, 1125, 17289, 19436, 18856, 1808, 26921, 11181, 2097, 1167, 28741, 2004, 1710, 1157, 192, 4345, 19878, 1701, 1167, 1207, 2004, 1895, 8676, 1234, 1313, 1189, 2515, 1675, 2433, 12907, 1188, 2068, 6954, 106, 106, 17971, 4319, 119, 27736, 2154, 1110, 1913, 14014, 3521, 3649, 1856, 1189, 11047, 2081, 18926, 2851, 1723, 2750, 1158, 26634, 1207, 12653, 2004, 8922, 1309, 1170, 28353, 1109, 1405, 141, 120, 130, 123, 23210, 6349, 1408, 1844, 8508, 1125, 2435, 1167, 1207, 26921, 28741, 1167, 11181, 2097, 2004, 8217, 1197, 1166, 1767, 1392, 1256, 1964, 14789, 121, 106, 106, 6880, 2535, 1317, 3564, 1125, 27542, 17276, 1299, 18717, 6113, 1197, 22222, 1139, 10702, 9172, 6672, 1234, 2335, 28353, 1109, 10816, 1215, 1189, 27214, 8403, 2391, 1125, 1964, 19705, 9085, 1188, 1158, 6545, 3202, 5907, 3066, 1170, 1405, 141, 120, 130, 123, 1110, 1913, 16682, 2357, 1527, 2368, 16050, 3144, 1227, 4374, 27214, 9918, 1188, 2782, 1913, 2077, 5012, 1215, 1189, 27214, 8403, 1313, 1207, 14822, 3320, 17432, 244, 6542, 3672, 1170, 12233, 5210, 488, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 488, 106, 147, 15376, 1227, 27214, 1300, 6956, 6474, 1342, 11442, 13966, 106, 106, 152, 1558, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 1125, 488, 124, 132, 124, 131, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 16880, 12507, 10999, 106, 141, 1514, 1415, 3202, 1366, 1125, 1158, 4592, 26617, 1303, 106, 155, 1741, 1469, 1197, 1441, 19297, 2081, 1826, 1813, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 158, 1456, 1105, 19928, 2451, 6774, 1299, 1318, 16074, 1125, 1714, 187, 1610, 1125, 1158, 4446, 1197, 1222, 7164, 1217, 7726, 2596, 106, 106, 8044, 26540, 106, 142, 1567, 16074, 1281, 6666, 1317, 25965, 20876, 1810, 1317, 1306, 1414, 1136, 4277, 1317, 27064, 1124, 14630, 1810, 1317, 25680, 11480, 1167, 1317, 3276, 1230, 18755, 2036, 106, 106, 22081, 1162, 17482, 106, 142, 10463, 488, 124, 131, 129, 131, 1257, 1645, 2054, 8871, 1384, 1119, 1161, 1135, 5638, 1117, 18009, 1171, 16604, 1154, 1210, 1575, 13196, 1449, 1135, 3225, 2333, 18552, 29498, 1163, 1254, 10678, 1121, 1171, 1135, 1405, 4599, 31408, 2114, 1324, 9547, 1238, 2017, 2373, 6099, 1951, 5800, 1972, 1161, 1135, 15567, 1161, 24768, 10850, 1161, 22028, 4741, 1859, 488, 124, 131, 129, 131, 1175, 8934, 8363, 1132, 1576, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 1338, 9520, 106, 106, 143, 7164, 1217, 19609, 106, 158, 1107, 27661, 29610, 11246, 116, 32001, 488, 106, 32000, 20036, 106, 158, 1456, 1105, 19928, 2451, 6774, 1299, 1318, 16074, 1125, 1714, 187, 1610, 1125, 1158, 4446, 1197, 1222, 7164, 1217, 7726, 2596, 106, 106, 8044, 26540, 106, 142, 1567, 16074, 1281, 6666, 1317, 25965, 20876, 1810, 1317, 1306, 1414, 1136, 4277, 1317, 27064, 1124, 14630, 1810, 1317, 25680, 11480, 1167, 1317, 3276, 1230, 18755, 2036, 106, 106, 22081, 1162, 17482, 106, 142, 10463, 488, 124, 131, 129, 131, 1257, 1645, 5664, 3315, 1161, 1135, 5638, 1117, 18009, 1171, 16604, 1154, 1210, 1575, 13196, 1449, 1135, 3225, 2333, 18552, 29498, 1163, 1254, 10678, 1121, 1171, 1135, 1405, 4599, 31408, 2114, 1324, 9547, 1238, 2017, 2373, 6099, 1951, 5800, 1972, 1161, 1135, 15567, 1161, 24768, 10850, 1161, 22028, 4741, 1859, 488, 124, 131, 129, 131, 1175, 8934, 8363, 1132, 1576, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 143, 7164, 1217, 19609, 106, 158, 1107, 27661, 29610, 11246, 116, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 1456, 1105, 19928, 2451, 6774, 1299, 1318, 16074, 1125, 1714, 187, 1610, 1125, 1158, 4446, 1197, 1222, 7164, 1217, 7726, 2596, 106, 106, 8044, 26540, 106, 142, 1567, 16074, 1281, 6666, 1317, 25965, 20876, 1810, 1317, 1306, 1414, 1136, 4277, 1317, 27064, 1124, 14630, 1810, 1317, 25680, 11480, 1167, 1317, 3276, 1230, 18755, 2036, 106, 106, 22081, 1162, 17482, 106, 142, 10463, 488, 124, 131, 129, 131, 1257, 1645, 5664, 3315, 1161, 1135, 5638, 1117, 18009, 1171, 16604, 1154, 1210, 1575, 13196, 1449, 1135, 3225, 2333, 18552, 29498, 1163, 1254, 10678, 1121, 1171, 1135, 1405, 4599, 31408, 2114, 1324, 9547, 1238, 2017, 2373, 6099, 1951, 5800, 1972, 1161, 1135, 15567, 1161, 24768, 10850, 1161, 22028, 4741, 1859, 488, 124, 131, 129, 131, 1175, 8934, 8363, 1132, 1576, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 143, 7164, 1217, 19609, 106, 158, 1107, 27661, 29610, 11246, 116, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 6662, 1554, 1890, 1125, 1306, 2268, 186, 3615, 3339, 119, 6485, 116, 1299, 1318, 6662, 1554, 1890, 1227, 6455, 9081, 12925, 1125, 1158, 4444, 15613, 121, 106, 106, 146, 22857, 106, 106, 15539, 2368, 1342, 1336, 1313, 1158, 4592, 8411, 8640, 1188, 1158, 8956, 1835, 1170, 1185, 1172, 3849, 1125, 4444, 15613, 8446, 1317, 7758, 1362, 7965, 1317, 1518, 7304, 1117, 1188, 29487, 1167, 1188, 1158, 4592, 8411, 21854, 1317, 7758, 1362, 17778, 3450, 3233, 1594, 1874, 1188, 1158, 3837, 1125, 1306, 2268, 186, 1357, 1281, 5209, 1188, 1594, 8840, 2035, 6957, 6218, 2195, 1170, 1408, 14002, 11404, 1170, 2151, 1170, 1408, 1127, 1550, 175, 13055, 1125, 1158, 4444, 15613, 18636, 5907, 4787, 1145, 2151, 1125, 5588, 6431, 23656, 1594, 2429, 1299, 20723, 1125, 3871, 1216, 2035, 1348, 16341, 1366, 1227, 5308, 187, 8034, 1140, 182, 239, 119, 1408, 20305, 1227, 5308, 187, 8034, 1140, 182, 239, 19523, 1189, 6231, 30063, 5118, 2915, 4012, 1199, 1125, 1158, 6128, 2478, 9956, 2392, 1808, 11507, 1741, 1125, 1158, 6662, 1554, 1890, 17758, 1129, 1197, 1106, 4519, 1125, 1114, 5527, 106, 106, 25280, 1145, 2151, 1125, 5588, 12198, 119, 1158, 6662, 1554, 1890, 1299, 13384, 1303, 1835, 1207, 7389, 3608, 13076, 2268, 186, 1167, 1125, 1248, 1483, 173, 2601, 9005, 1921, 1125, 1158, 3734, 1304, 160, 1153, 16410, 2036, 106, 106, 30609, 106, 3562, 6662, 1554, 1890, 12425, 1125, 2515, 1317, 2864, 2757, 1170, 11402, 3463, 176, 6298, 121, 6280, 4356, 22453, 1299, 10604, 1256, 1170, 5136, 1227, 1185, 1172, 3849, 1125, 4444, 15613, 121, 1653, 488, 124, 129, 128, 129, 119, 1207, 3509, 1740, 1517, 1251, 6304, 17159, 1207, 2046, 18049, 1226, 1213, 1224, 1457, 1548, 7619, 1125, 1226, 4700, 2368, 2120, 1819, 1450, 1313, 1207, 4092, 488, 124, 130, 132, 123, 458, 124, 131, 123, 130, 119, 3817, 1158, 20615, 15393, 1299, 22590, 1856, 7513, 3798, 106, 106, 143, 16274, 1158, 6545, 1125, 4444, 15613, 1125, 488, 124, 131, 123, 131, 458, 124, 131, 123, 132, 119, 1207, 24028, 1125, 1158, 26450, 2673, 1125, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1508, 1338, 9408, 14006, 1256, 11499, 10868, 1301, 6533, 1167, 1207, 8903, 1104, 2830, 3131, 9230, 1158, 1226, 1213, 3402, 13076, 2268, 186, 2130, 9524, 1373, 121, 106, 106, 155, 2388, 1158, 6545, 1125, 1165, 2965, 2806, 1207, 8903, 1104, 4256, 20742, 1107, 1158, 1226, 1213, 3402, 1186, 1281, 29565, 4974, 3767, 4319, 1227, 26851, 19565, 1158, 1226, 1213, 3402, 1125, 1158, 6662, 1554, 1890, 1299, 19081, 1303, 1256, 11499, 30707, 1630, 1201, 11270, 3296, 106, 106, 6880, 1320, 5949, 1125, 1158, 6662, 1554, 1890, 1167, 1561, 4438, 1543, 1510, 1303, 6662, 31092, 1199, 1313, 1158, 4592, 8411, 1960, 2004, 7545, 1158, 7342, 29659, 3042, 1309, 1207, 2905, 24466, 6096, 27887, 1186, 5169, 1125, 1158, 17866, 121, 1653, 22905, 1835, 488, 124, 131, 130, 124, 120, 124, 131, 130, 126, 119, 1238, 1251, 1110, 13826, 1189, 2511, 2515, 1167, 1318, 1138, 1221, 1136, 174, 1162, 28869, 1125, 1158, 8401, 28869, 11419, 1125, 4444, 15613, 1188, 18378, 193, 1804, 239, 239, 121, 1653, 488, 124, 131, 130, 127, 119, 1238, 15458, 1158, 3837, 1125, 1306, 2268, 186, 1188, 1158, 19441, 1125, 1158, 6662, 1554, 1890, 6365, 1227, 2515, 121, 106, 106, 1686, 488, 124, 132, 126, 132, 119, 1170, 5328, 24696, 1960, 1197, 10934, 21647, 24696, 8640, 10868, 1866, 1104, 20689, 17561, 1190, 1651, 1338, 1395, 1344, 1158, 5589, 1125, 1158, 6662, 1554, 1890, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 121, 106, 106, 143, 16274, 1158, 12507, 13076, 4484, 119, 1306, 2268, 186, 1299, 12088, 1208, 1160, 13513, 1379, 3798, 4511, 1158, 1622, 1125, 1158, 26634, 1215, 1170, 3859, 1348, 1125, 17347, 1118, 1125, 488, 124, 132, 127, 123, 119, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1299, 1116, 22238, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 1357, 1226, 1533, 1214, 1158, 6233, 1186, 1251, 3662, 1199, 1318, 2989, 3202, 5907, 3190, 31304, 9701, 183, 1701, 2004, 3601, 3672, 1158, 6545, 1125, 14368, 192, 2392, 1548, 1859, 1207, 8091, 21863, 24696, 2635, 1281, 9830, 2089, 1125, 1158, 6662, 1554, 1890, 121, 106, 106, 149, 1153, 6055, 1541, 4092, 488, 124, 132, 130, 123, 119, 1158, 3837, 13076, 2268, 186, 1288, 17657, 1309, 1158, 6233, 4393, 1303, 1167, 1207, 20403, 5816, 1457, 1548, 4933, 1125, 1158, 6662, 1554, 1890, 1299, 29982, 1835, 3261, 1137, 1124, 19252, 24305, 179, 9177, 1167, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 130, 130, 119, 3261, 1137, 1124, 193, 14853, 1245, 1186, 14890, 3247, 1469, 24305, 20817, 1810, 1723, 1158, 3247, 1125, 3261, 1137, 1124, 193, 1158, 1408, 9993, 13076, 2268, 186, 1167, 1200, 1562, 2562, 8051, 2442, 1309, 1198, 193, 15766, 1577, 1245, 9954, 23131, 1306, 2268, 2181, 1548, 4933, 1125, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 14853, 1245, 1469, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 132, 126, 119, 18252, 5299, 172, 1662, 14853, 1245, 1469, 24305, 20817, 2036, 1653, 488, 125, 123, 123, 132, 119, 18252, 5299, 172, 1662, 1299, 22786, 1303, 1188, 16959, 1483, 2284, 3266, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 28028, 1125, 1158, 1202, 1538, 1554, 1890, 1125, 1306, 2268, 186, 106, 106, 11333, 5888, 176, 106, 8903, 1124, 257, 106, 106, 147, 2268, 186, 17367, 4134, 1125, 1158, 4444, 15613, 31738, 3849, 1125, 4444, 15613, 1306, 2268, 186, 5421, 1186, 4444, 15613, 32001, 488, 106, 32000, 20036, 106, 3562, 6662, 1554, 1890, 1125, 1306, 2268, 186, 3615, 3339, 119, 6485, 116, 1299, 1318, 6662, 1554, 1890, 1227, 6455, 9081, 12925, 1125, 1158, 4444, 15613, 121, 106, 106, 146, 22857, 106, 106, 15539, 2368, 1342, 1336, 1313, 1158, 4592, 8411, 8640, 1188, 1158, 8956, 1835, 1170, 1185, 1172, 3849, 1125, 4444, 15613, 8446, 1317, 18762, 1118, 7965, 1317, 1518, 7304, 1117, 1188, 29487, 1167, 1188, 1158, 4592, 8411, 1960, 1317, 18762, 13469, 121, 3450, 3233, 1594, 1874, 1188, 1158, 3837, 1125, 1306, 2268, 186, 1357, 1281, 5209, 1188, 1594, 8840, 2035, 6957, 6218, 2195, 1170, 1408, 14002, 11404, 1170, 2151, 1170, 1408, 1127, 1550, 175, 13055, 1125, 1158, 4444, 15613, 18636, 5907, 4787, 1145, 2151, 1125, 5588, 6431, 23656, 1594, 2429, 1299, 20723, 1125, 3871, 1216, 2035, 1348, 16341, 1366, 1227, 5308, 187, 8034, 1140, 182, 239, 119, 1408, 20305, 1227, 5308, 187, 8034, 1140, 182, 239, 19523, 1189, 6231, 1125, 5118, 2915, 4012, 1199, 1125, 1158, 6128, 2478, 9956, 2392, 1808, 11507, 1741, 1125, 1158, 6662, 1554, 1890, 17758, 1129, 1197, 1106, 4519, 1125, 1114, 5527, 106, 106, 25280, 1145, 2151, 1125, 5588, 12198, 119, 1158, 6662, 1554, 1890, 1299, 13384, 1303, 1835, 1207, 7389, 3608, 13076, 2268, 186, 1167, 1125, 1248, 1483, 173, 2601, 9005, 3247, 1125, 1158, 3734, 1304, 160, 1153, 16410, 2036, 106, 106, 30609, 106, 3562, 6662, 1554, 1890, 12425, 1125, 2515, 1317, 2864, 2757, 1170, 11402, 3463, 176, 6298, 121, 6280, 4356, 22453, 1299, 10604, 1256, 1170, 5136, 1227, 1185, 1172, 3849, 1125, 4444, 15613, 121, 1653, 488, 124, 129, 128, 129, 119, 1207, 3509, 1740, 1517, 1251, 6304, 17159, 1207, 3453, 1226, 1213, 1224, 1457, 1548, 7619, 1125, 1226, 4700, 2368, 2120, 1819, 1450, 1313, 1207, 4092, 488, 124, 130, 132, 123, 458, 124, 131, 123, 130, 119, 3817, 1158, 20615, 15393, 1299, 22590, 1856, 7513, 3798, 106, 106, 143, 16274, 1158, 6545, 1125, 4444, 15613, 1125, 488, 124, 131, 123, 131, 458, 124, 131, 123, 132, 119, 1207, 24028, 1125, 1158, 26450, 2673, 1125, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1508, 1338, 9408, 14006, 1256, 11499, 10868, 1301, 6533, 1167, 1207, 8903, 1104, 2830, 3131, 9230, 1158, 1226, 1213, 3402, 13076, 2268, 186, 2130, 9524, 1373, 121, 106, 106, 155, 2388, 1158, 6545, 1125, 1165, 2965, 2806, 1207, 8903, 1104, 4256, 20742, 1107, 1158, 1226, 1213, 3402, 1186, 1281, 29565, 4974, 3767, 4319, 1227, 26851, 19565, 1158, 1226, 1213, 3402, 1125, 1158, 6662, 1554, 1890, 1299, 19081, 1303, 1256, 11499, 30707, 1630, 1201, 11270, 3296, 106, 106, 6880, 1320, 5949, 1125, 1158, 6662, 1554, 1890, 1167, 1561, 4438, 1543, 1510, 1303, 6662, 31092, 1199, 1313, 1158, 4592, 8411, 1960, 2004, 7545, 1158, 7342, 29659, 3042, 1309, 1207, 2905, 24466, 6096, 27887, 1186, 5169, 1125, 1158, 17866, 121, 1653, 22905, 1835, 488, 124, 131, 130, 124, 120, 124, 131, 130, 126, 119, 1238, 1251, 1110, 13826, 1189, 2511, 2515, 1167, 1318, 1138, 1221, 1136, 174, 1162, 28869, 1125, 1158, 8401, 28869, 11419, 1125, 4444, 15613, 1188, 18378, 193, 1804, 239, 239, 121, 1653, 488, 124, 131, 130, 127, 119, 1238, 15458, 1158, 3837, 1125, 1306, 2268, 186, 1188, 1158, 19441, 1125, 1158, 6662, 1554, 1890, 6365, 1227, 2515, 121, 106, 106, 1686, 488, 124, 132, 126, 132, 119, 1170, 5328, 24696, 1960, 1197, 10934, 21647, 24696, 8640, 10868, 1866, 1104, 20689, 17561, 1190, 1651, 1338, 1395, 1344, 1158, 5589, 1125, 1158, 6662, 1554, 1890, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 121, 106, 106, 143, 16274, 1158, 12507, 13076, 4484, 119, 1306, 2268, 186, 1299, 12088, 1208, 1160, 13513, 1379, 3798, 4511, 1158, 1622, 1125, 1158, 26634, 1215, 1170, 3859, 1348, 1125, 17347, 1118, 1125, 488, 124, 132, 127, 123, 119, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1299, 1116, 22238, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 1357, 1226, 1533, 1214, 1158, 6233, 1186, 1251, 3662, 1199, 1318, 2989, 3202, 5907, 3190, 31304, 9701, 183, 1701, 2004, 3601, 3672, 1158, 6545, 1125, 14368, 192, 2392, 1548, 1859, 1207, 8091, 21863, 24696, 2635, 1281, 9830, 2089, 1125, 1158, 6662, 1554, 1890, 121, 106, 106, 149, 1153, 6055, 1541, 4092, 488, 124, 132, 130, 123, 119, 1158, 3837, 13076, 2268, 186, 1288, 17657, 1309, 1158, 6233, 4393, 1303, 1167, 1207, 20403, 5816, 1457, 1548, 4933, 1125, 1158, 6662, 1554, 1890, 1299, 29982, 1835, 3261, 1137, 1124, 19252, 24305, 179, 9177, 1167, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 130, 130, 119, 3261, 1137, 1124, 193, 14853, 1245, 1186, 14890, 3247, 1469, 24305, 20817, 1810, 1723, 1158, 3247, 1125, 3261, 1137, 1124, 193, 1158, 1408, 9993, 13076, 2268, 186, 1167, 1200, 1562, 2562, 8051, 2442, 1309, 1198, 193, 15766, 1577, 1245, 9954, 23131, 1306, 2268, 2181, 1548, 4933, 1125, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 14853, 1245, 1469, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 132, 126, 119, 18252, 5299, 172, 1662, 14853, 1245, 1469, 24305, 20817, 2036, 1653, 488, 125, 123, 123, 132, 119, 18252, 5299, 172, 1662, 1299, 22786, 1303, 1188, 16959, 1483, 2284, 3266, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 28028, 1125, 1158, 1202, 1538, 1554, 1890, 1125, 1306, 2268, 186, 106, 106, 11333, 5888, 176, 106, 8903, 1124, 257, 106, 106, 147, 2268, 186, 17367, 4134, 1125, 1158, 4444, 15613, 31738, 3849, 1125, 4444, 15613, 1306, 2268, 186, 5421, 1186, 4444, 15613, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 6662, 1554, 1890, 1125, 1306, 2268, 186, 3615, 3339, 119, 6485, 116, 1299, 1318, 6662, 1554, 1890, 1227, 6455, 9081, 12925, 1125, 1158, 4444, 15613, 121, 106, 106, 146, 22857, 106, 106, 15539, 2368, 1342, 1336, 1313, 1158, 4592, 8411, 8640, 1188, 1158, 8956, 1835, 1170, 1185, 1172, 3849, 1125, 4444, 15613, 8446, 1317, 18762, 1118, 7965, 1317, 1518, 7304, 1117, 1188, 29487, 1167, 1188, 1158, 4592, 8411, 1960, 1317, 18762, 13469, 121, 3450, 3233, 1594, 1874, 1188, 1158, 3837, 1125, 1306, 2268, 186, 1357, 1281, 5209, 1188, 1594, 8840, 2035, 6957, 6218, 2195, 1170, 1408, 14002, 11404, 1170, 2151, 1170, 1408, 1127, 1550, 175, 13055, 1125, 1158, 4444, 15613, 18636, 5907, 4787, 1145, 2151, 1125, 5588, 6431, 23656, 1594, 2429, 1299, 20723, 1125, 3871, 1216, 2035, 1348, 16341, 1366, 1227, 5308, 187, 8034, 1140, 182, 239, 119, 1408, 20305, 1227, 5308, 187, 8034, 1140, 182, 239, 19523, 1189, 6231, 1125, 5118, 2915, 4012, 1199, 1125, 1158, 6128, 2478, 9956, 2392, 1808, 11507, 1741, 1125, 1158, 6662, 1554, 1890, 17758, 1129, 1197, 1106, 4519, 1125, 1114, 5527, 106, 106, 25280, 1145, 2151, 1125, 5588, 12198, 119, 1158, 6662, 1554, 1890, 1299, 13384, 1303, 1835, 1207, 7389, 3608, 13076, 2268, 186, 1167, 1125, 1248, 1483, 173, 2601, 9005, 3247, 1125, 1158, 3734, 1304, 160, 1153, 16410, 2036, 106, 106, 30609, 106, 3562, 6662, 1554, 1890, 12425, 1125, 2515, 1317, 2864, 2757, 1170, 11402, 3463, 176, 6298, 121, 6280, 4356, 22453, 1299, 10604, 1256, 1170, 5136, 1227, 1185, 1172, 3849, 1125, 4444, 15613, 121, 1653, 488, 124, 129, 128, 129, 119, 1207, 3509, 1740, 1517, 1251, 6304, 17159, 1207, 3453, 1226, 1213, 1224, 1457, 1548, 7619, 1125, 1226, 4700, 2368, 2120, 1819, 1450, 1313, 1207, 4092, 488, 124, 130, 132, 123, 458, 124, 131, 123, 130, 119, 3817, 1158, 20615, 15393, 1299, 22590, 1856, 7513, 3798, 106, 106, 143, 16274, 1158, 6545, 1125, 4444, 15613, 1125, 488, 124, 131, 123, 131, 458, 124, 131, 123, 132, 119, 1207, 24028, 1125, 1158, 26450, 2673, 1125, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1508, 1338, 9408, 14006, 1256, 11499, 10868, 1301, 6533, 1167, 1207, 8903, 1104, 2830, 3131, 9230, 1158, 1226, 1213, 3402, 13076, 2268, 186, 2130, 9524, 1373, 121, 106, 106, 155, 2388, 1158, 6545, 1125, 1165, 2965, 2806, 1207, 8903, 1104, 4256, 20742, 1107, 1158, 1226, 1213, 3402, 1186, 1281, 29565, 4974, 3767, 4319, 1227, 26851, 19565, 1158, 1226, 1213, 3402, 1125, 1158, 6662, 1554, 1890, 1299, 19081, 1303, 1256, 11499, 30707, 1630, 1201, 11270, 3296, 106, 106, 6880, 1320, 5949, 1125, 1158, 6662, 1554, 1890, 1167, 1561, 4438, 1543, 1510, 1303, 6662, 31092, 1199, 1313, 1158, 4592, 8411, 1960, 2004, 7545, 1158, 7342, 29659, 3042, 1309, 1207, 2905, 24466, 6096, 27887, 1186, 5169, 1125, 1158, 17866, 121, 1653, 22905, 1835, 488, 124, 131, 130, 124, 120, 124, 131, 130, 126, 119, 1238, 1251, 1110, 13826, 1189, 2511, 2515, 1167, 1318, 1138, 1221, 1136, 174, 1162, 28869, 1125, 1158, 8401, 28869, 11419, 1125, 4444, 15613, 1188, 18378, 193, 1804, 239, 239, 121, 1653, 488, 124, 131, 130, 127, 119, 1238, 15458, 1158, 3837, 1125, 1306, 2268, 186, 1188, 1158, 19441, 1125, 1158, 6662, 1554, 1890, 6365, 1227, 2515, 121, 106, 106, 1686, 488, 124, 132, 126, 132, 119, 1170, 5328, 24696, 1960, 1197, 10934, 21647, 24696, 8640, 10868, 1866, 1104, 20689, 17561, 1190, 1651, 1338, 1395, 1344, 1158, 5589, 1125, 1158, 6662, 1554, 1890, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 121, 106, 106, 143, 16274, 1158, 12507, 13076, 4484, 119, 1306, 2268, 186, 1299, 12088, 1208, 1160, 13513, 1379, 3798, 4511, 1158, 1622, 1125, 1158, 26634, 1215, 1170, 3859, 1348, 1125, 17347, 1118, 1125, 488, 124, 132, 127, 123, 119, 1158, 6662, 1554, 1890, 13076, 2268, 186, 1299, 1116, 22238, 1256, 488, 126, 123, 2165, 1188, 1282, 2188, 4365, 1357, 1226, 1533, 1214, 1158, 6233, 1186, 1251, 3662, 1199, 1318, 2989, 3202, 5907, 3190, 31304, 9701, 183, 1701, 2004, 3601, 3672, 1158, 6545, 1125, 14368, 192, 2392, 1548, 1859, 1207, 8091, 21863, 24696, 2635, 1281, 9830, 2089, 1125, 1158, 6662, 1554, 1890, 121, 106, 106, 149, 1153, 6055, 1541, 4092, 488, 124, 132, 130, 123, 119, 1158, 3837, 13076, 2268, 186, 1288, 17657, 1309, 1158, 6233, 4393, 1303, 1167, 1207, 20403, 5816, 1457, 1548, 4933, 1125, 1158, 6662, 1554, 1890, 1299, 29982, 1835, 3261, 1137, 1124, 19252, 24305, 179, 9177, 1167, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 130, 130, 119, 3261, 1137, 1124, 193, 14853, 1245, 1186, 14890, 3247, 1469, 24305, 20817, 1810, 1723, 1158, 3247, 1125, 3261, 1137, 1124, 193, 1158, 1408, 9993, 13076, 2268, 186, 1167, 1200, 1562, 2562, 8051, 2442, 1309, 1198, 193, 15766, 1577, 1245, 9954, 23131, 1306, 2268, 2181, 1548, 4933, 1125, 1158, 4813, 18501, 1366, 1125, 18252, 5299, 172, 1662, 14853, 1245, 1469, 18252, 5299, 172, 1662, 121, 1653, 488, 124, 132, 132, 126, 119, 18252, 5299, 172, 1662, 14853, 1245, 1469, 24305, 20817, 2036, 1653, 488, 125, 123, 123, 132, 119, 18252, 5299, 172, 1662, 1299, 22786, 1303, 1188, 16959, 1483, 2284, 3266, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 28028, 1125, 1158, 1202, 1538, 1554, 1890, 1125, 1306, 2268, 186, 106, 106, 11333, 5888, 176, 106, 8903, 1124, 257, 106, 106, 147, 2268, 186, 17367, 4134, 1125, 1158, 4444, 15613, 31738, 3849, 1125, 4444, 15613, 1306, 2268, 186, 5421, 1186, 4444, 15613, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 153, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 1299, 1158, 488, 5312, 2035, 1495, 11565, 1125, 1158, 20926, 1632, 1167, 1281, 20728, 289, 12273, 4964, 1266, 4436, 1204, 1493, 4849, 3266, 106, 106, 4929, 13700, 488, 106, 106, 3562, 6327, 5016, 1317, 4561, 17557, 1170, 488, 125, 127, 2798, 488, 125, 123, 123, 132, 2290, 1170, 6009, 7472, 17084, 1297, 1548, 17557, 12669, 1158, 488, 128, 2247, 1227, 14408, 1125, 14097, 1766, 1105, 1167, 4933, 14399, 3672, 2069, 3405, 1262, 1457, 106, 2606, 488, 124, 1107, 17557, 11550, 1170, 9893, 1266, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 3418, 244, 1170, 488, 127, 2875, 488, 125, 123, 123, 126, 1317, 1266, 5216, 1105, 11890, 1387, 6871, 1768, 11550, 488, 125, 131, 23664, 2487, 488, 124, 123, 6850, 1125, 1594, 6030, 11359, 1196, 1673, 1518, 2057, 2064, 488, 126, 10139, 7816, 1321, 2699, 4730, 16573, 3517, 1147, 1135, 14924, 1841, 1167, 2482, 1173, 1462, 1162, 16227, 1125, 1594, 6030, 1222, 1825, 2275, 26814, 180, 12629, 19912, 3261, 1292, 5472, 1753, 5567, 1202, 8913, 1605, 1293, 4469, 119, 6150, 2013, 13641, 1167, 1645, 186, 1306, 180, 1671, 4437, 4481, 172, 4273, 178, 1558, 16227, 1125, 1594, 6030, 27763, 7473, 12246, 119, 1410, 2320, 1161, 31139, 1167, 28377, 20127, 4174, 157, 3584, 16227, 1125, 1594, 6030, 11971, 5339, 1146, 21903, 134, 1167, 31144, 488, 1645, 1438, 7554, 152, 1174, 1195, 4437, 496, 152, 1307, 1519, 186, 201, 488, 1167, 488, 1350, 184, 1593, 7554, 172, 1116, 1562, 10445, 201, 488, 1508, 6850, 1125, 1594, 3151, 3935, 1350, 184, 1593, 11781, 1309, 8224, 7345, 22787, 7424, 1125, 1594, 8826, 3555, 3935, 27546, 1237, 1129, 9099, 7526, 1548, 6311, 17557, 24137, 1266, 1901, 140, 1204, 10471, 31023, 148, 1200, 19236, 1173, 10601, 150, 2041, 488, 125, 123, 123, 127, 7554, 6610, 1707, 201, 1198, 4707, 1222, 3873, 160, 5085, 119, 11550, 1318, 5266, 1125, 23070, 28129, 1125, 1561, 23931, 20862, 1186, 488, 125, 123, 123, 127, 121, 106, 106, 151, 2038, 1197, 8470, 106, 106, 28870, 5825, 488, 106, 106, 145, 3352, 21364, 1227, 17557, 106, 145, 3352, 1227, 17557, 1300, 1170, 1865, 1125, 1282, 1121, 5905, 106, 106, 143, 12602, 1125, 1266, 4436, 1204, 1493, 27311, 32001, 488, 106, 32000, 20036, 106, 153, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 1299, 1158, 488, 31735, 11565, 1125, 1158, 20926, 1632, 1167, 1281, 20728, 289, 12273, 4964, 1266, 4436, 1204, 1493, 4849, 3266, 106, 106, 4929, 13700, 488, 106, 106, 3562, 6327, 5016, 1317, 4561, 17557, 1170, 488, 125, 127, 2798, 488, 125, 123, 123, 132, 2290, 1170, 6009, 7472, 17084, 1297, 1548, 17557, 12669, 1158, 488, 488, 128, 2247, 1227, 14408, 1125, 14097, 1766, 1105, 1167, 4933, 14399, 3672, 2069, 3405, 1262, 1457, 106, 2606, 488, 124, 1107, 17557, 11550, 1170, 9893, 1266, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 3418, 244, 1170, 488, 127, 2875, 488, 125, 123, 123, 126, 1317, 1266, 5216, 1105, 11890, 1387, 6871, 1768, 11550, 488, 125, 131, 23664, 2487, 488, 124, 123, 6850, 1125, 1594, 6030, 11359, 1196, 1673, 1518, 2057, 2064, 488, 126, 10139, 7816, 1321, 2699, 4730, 16573, 3517, 1147, 1135, 14924, 1841, 1167, 2482, 1173, 1462, 1162, 16227, 1125, 1594, 6030, 1222, 1825, 2275, 26814, 180, 12629, 19912, 3261, 1292, 5472, 1753, 5567, 1202, 8913, 1605, 1293, 4469, 119, 6150, 2013, 13641, 1167, 1645, 186, 1306, 180, 1671, 4437, 4481, 172, 4273, 178, 1558, 16227, 1125, 1594, 6030, 27763, 7473, 12246, 119, 1410, 2320, 1161, 31139, 1167, 28377, 20127, 4174, 157, 3584, 16227, 1125, 1594, 6030, 11971, 5339, 1146, 21903, 134, 1167, 31144, 488, 1645, 1438, 7554, 152, 1174, 1195, 4437, 496, 152, 1307, 1519, 186, 201, 488, 1167, 488, 1350, 184, 1593, 7554, 172, 1116, 1562, 10445, 201, 488, 1508, 6850, 1125, 1594, 3151, 3935, 1350, 184, 1593, 11781, 1309, 8224, 7345, 22787, 7424, 1125, 1594, 8826, 3555, 3935, 27546, 1237, 1129, 9099, 7526, 1548, 6311, 17557, 24137, 1266, 1901, 140, 1204, 10471, 31023, 148, 1200, 19236, 1173, 10601, 150, 2041, 488, 125, 123, 123, 127, 7554, 6610, 1707, 201, 1198, 4707, 1222, 3873, 160, 5085, 119, 11550, 1318, 5266, 1125, 23070, 28129, 1125, 1561, 23931, 20862, 1186, 488, 125, 123, 123, 127, 121, 106, 106, 151, 2038, 1197, 8470, 106, 106, 28870, 5825, 488, 106, 106, 1252, 3352, 21364, 1227, 17557, 106, 1252, 3352, 1227, 17557, 1300, 1170, 1865, 1125, 1282, 1121, 5905, 106, 106, 143, 12602, 1125, 1266, 4436, 1204, 1493, 27311, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 1299, 1158, 488, 31735, 11565, 1125, 1158, 20926, 1632, 1167, 1281, 20728, 289, 12273, 4964, 1266, 4436, 1204, 1493, 4849, 3266, 106, 106, 4929, 13700, 488, 106, 106, 3562, 6327, 5016, 1317, 4561, 17557, 1170, 488, 125, 127, 2798, 488, 125, 123, 123, 132, 2290, 1170, 6009, 7472, 17084, 1297, 1548, 17557, 12669, 1158, 488, 488, 128, 2247, 1227, 14408, 1125, 14097, 1766, 1105, 1167, 4933, 14399, 3672, 2069, 3405, 1262, 1457, 106, 2606, 488, 124, 1107, 17557, 11550, 1170, 9893, 1266, 4436, 1204, 1493, 27311, 13727, 26907, 22064, 1355, 11890, 1387, 1119, 3418, 244, 1170, 488, 127, 2875, 488, 125, 123, 123, 126, 1317, 1266, 5216, 1105, 11890, 1387, 6871, 1768, 11550, 488, 125, 131, 23664, 2487, 488, 124, 123, 6850, 1125, 1594, 6030, 11359, 1196, 1673, 1518, 2057, 2064, 488, 126, 10139, 7816, 1321, 2699, 4730, 16573, 3517, 1147, 1135, 14924, 1841, 1167, 2482, 1173, 1462, 1162, 16227, 1125, 1594, 6030, 1222, 1825, 2275, 26814, 180, 12629, 19912, 3261, 1292, 5472, 1753, 5567, 1202, 8913, 1605, 1293, 4469, 119, 6150, 2013, 13641, 1167, 1645, 186, 1306, 180, 1671, 4437, 4481, 172, 4273, 178, 1558, 16227, 1125, 1594, 6030, 27763, 7473, 12246, 119, 1410, 2320, 1161, 31139, 1167, 28377, 20127, 4174, 157, 3584, 16227, 1125, 1594, 6030, 11971, 5339, 1146, 21903, 134, 1167, 31144, 488, 1645, 1438, 7554, 152, 1174, 1195, 4437, 496, 152, 1307, 1519, 186, 201, 488, 1167, 488, 1350, 184, 1593, 7554, 172, 1116, 1562, 10445, 201, 488, 1508, 6850, 1125, 1594, 3151, 3935, 1350, 184, 1593, 11781, 1309, 8224, 7345, 22787, 7424, 1125, 1594, 8826, 3555, 3935, 27546, 1237, 1129, 9099, 7526, 1548, 6311, 17557, 24137, 1266, 1901, 140, 1204, 10471, 31023, 148, 1200, 19236, 1173, 10601, 150, 2041, 488, 125, 123, 123, 127, 7554, 6610, 1707, 201, 1198, 4707, 1222, 3873, 160, 5085, 119, 11550, 1318, 5266, 1125, 23070, 28129, 1125, 1561, 23931, 20862, 1186, 488, 125, 123, 123, 127, 121, 106, 106, 151, 2038, 1197, 8470, 106, 106, 28870, 5825, 488, 106, 106, 1252, 3352, 21364, 1227, 17557, 106, 1252, 3352, 1227, 17557, 1300, 1170, 1865, 1125, 1282, 1121, 5905, 106, 106, 143, 12602, 1125, 1266, 4436, 1204, 1493, 27311, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 141, 1379, 1299, 1189, 1223, 1845, 1117, 1326, 1125, 8145, 173, 2303, 1175, 1193, 2009, 14739, 1140, 116, 6304, 1670, 1215, 4644, 1300, 1158, 2989, 1125, 1964, 1644, 243, 183, 1125, 19167, 1643, 15355, 6687, 106, 106, 20616, 21198, 106, 4455, 2022, 1178, 1889, 16915, 1215, 1233, 1379, 2762, 5945, 1129, 1300, 1189, 1294, 6268, 1123, 184, 5770, 8640, 1188, 30059, 1124, 1125, 24509, 10150, 29183, 106, 106, 2272, 8934, 106, 1428, 2578, 488, 125, 123, 125, 125, 119, 8224, 10527, 1110, 17034, 24509, 10150, 7018, 1189, 8145, 16081, 20031, 1300, 1158, 5920, 1125, 9744, 1125, 19167, 1293, 11229, 120, 126, 121, 24509, 10150, 159, 1110, 1355, 3932, 1568, 1282, 15092, 1227, 2854, 3462, 244, 2750, 1561, 9665, 1965, 15695, 1119, 1318, 22337, 3128, 8249, 1300, 31308, 2068, 2569, 244, 1215, 1158, 2467, 1483, 3863, 3421, 1378, 1125, 24509, 10150, 159, 1256, 1158, 3370, 31321, 1170, 24668, 146, 1125, 31321, 1173, 2506, 1124, 1202, 1507, 15862, 1110, 1253, 3679, 1318, 1294, 23858, 5145, 1259, 10293, 109, 1188, 6577, 18199, 1125, 10319, 119, 1338, 2949, 1363, 1119, 3171, 10431, 1256, 8920, 16811, 1207, 8758, 1125, 10319, 1186, 5476, 16939, 6687, 3762, 1189, 31110, 1501, 1229, 1167, 5721, 6175, 3310, 1207, 1736, 20447, 2518, 1125, 4644, 15656, 1857, 8935, 1167, 24187, 196, 3261, 2982, 1357, 1305, 244, 30119, 2770, 8700, 1125, 1736, 3486, 143, 146, 1125, 1158, 3385, 10023, 1125, 4644, 2068, 1479, 25563, 1186, 488, 125, 123, 124, 132, 119, 2004, 1913, 4062, 1387, 1234, 1188, 1197, 23004, 1304, 14667, 1469, 1197, 20088, 1125, 1282, 4510, 2561, 1256, 24061, 1125, 1158, 5401, 1125, 4644, 1188, 24509, 10150, 29183, 106, 106, 6198, 5101, 1234, 1215, 1207, 17504, 2391, 2519, 14393, 7400, 1256, 3089, 1995, 1643, 152, 8567, 3031, 1318, 7793, 1618, 9422, 1256, 4644, 1125, 11289, 18482, 24509, 10150, 7018, 1202, 1507, 1558, 1167, 1170, 6513, 1125, 1282, 1209, 140, 1125, 31321, 14760, 1867, 3100, 2004, 1275, 11079, 1124, 244, 1309, 1995, 10319, 3618, 1197, 15417, 13982, 1188, 24509, 10150, 7018, 7970, 4202, 9765, 1313, 1440, 6468, 25970, 1370, 1189, 1606, 6628, 1125, 29258, 1524, 17098, 1186, 5169, 1227, 1844, 1309, 4644, 1299, 20167, 1160, 1408, 2511, 1980, 9587, 140, 9808, 1653, 2749, 488, 125, 123, 125, 126, 119, 1170, 24668, 146, 1125, 26181, 152, 1490, 119, 6411, 1120, 1306, 1322, 1219, 3366, 1110, 16752, 1207, 6314, 2335, 18147, 1125, 24509, 10150, 7018, 1167, 1207, 17504, 1125, 4644, 2004, 1913, 27023, 11290, 1819, 3914, 1207, 1223, 27881, 1300, 1189, 28263, 1125, 24509, 10150, 7018, 1186, 2126, 1199, 1536, 6571, 1160, 1606, 3433, 189, 1655, 1159, 1233, 1379, 1524, 1167, 5610, 8145, 16081, 1297, 1173, 2506, 1124, 1202, 1507, 1558, 1110, 25070, 2391, 1125, 8823, 1140, 1571, 14244, 1392, 3672, 1158, 12705, 1197, 6282, 15025, 1182, 1164, 1785, 1125, 4644, 1186, 3141, 1309, 1158, 3385, 3618, 8999, 7314, 26242, 1987, 1158, 21014, 1167, 1207, 7981, 1125, 1643, 15355, 6687, 106, 106, 159, 2607, 3617, 1408, 14429, 1170, 488, 129, 18802, 20575, 4644, 1110, 16752, 1233, 4748, 1189, 8145, 173, 2303, 1304, 6953, 14739, 4930, 3721, 244, 1215, 1643, 15355, 6687, 1233, 1379, 1110, 14867, 1913, 20214, 244, 5693, 2335, 3274, 28205, 1343, 1125, 1606, 8362, 3051, 1125, 8970, 3133, 2567, 1318, 3564, 11473, 12625, 1188, 1158, 1622, 1227, 20601, 1768, 1110, 1913, 15519, 2290, 1170, 1874, 1125, 2579, 1606, 3743, 10444, 4821, 3762, 1158, 30179, 1303, 1125, 16541, 5276, 1125, 31321, 1170, 18147, 1125, 31321, 8887, 119, 1110, 5131, 3118, 1594, 15400, 1469, 8224, 10527, 1256, 27937, 24509, 10150, 159, 1313, 1594, 10253, 1125, 3370, 1233, 2064, 2750, 2782, 26881, 30715, 4539, 1117, 1313, 8224, 140, 9808, 106, 106, 141, 1379, 1110, 1913, 14268, 1313, 1318, 6327, 2969, 4476, 6744, 1300, 6536, 1170, 488, 129, 3141, 488, 125, 123, 125, 126, 121, 7823, 1125, 1816, 6327, 1233, 1379, 8135, 1367, 6897, 244, 1186, 31423, 1188, 1318, 3060, 1300, 1170, 1111, 19876, 174, 2249, 8590, 3640, 9032, 14367, 5725, 5444, 1134, 3649, 5592, 9562, 1188, 1158, 8655, 4053, 1227, 8145, 16081, 1167, 1313, 1158, 30179, 1303, 1158, 19403, 1125, 18398, 4644, 1175, 3681, 1479, 25563, 116, 1125, 1408, 1125, 488, 130, 17041, 4644, 1233, 1379, 1110, 1913, 19885, 244, 1300, 1207, 5028, 29472, 1227, 1111, 19876, 174, 2249, 23149, 8590, 3640, 173, 1167, 1110, 21055, 1469, 3203, 1113, 1308, 1346, 1251, 5749, 1318, 1275, 11079, 17558, 3702, 5685, 1170, 1111, 19876, 174, 2249, 14678, 4766, 1207, 2962, 9881, 5521, 2519, 17244, 1186, 14334, 1125, 2140, 5865, 4367, 21434, 4095, 1165, 1769, 1274, 3100, 1816, 15345, 1162, 3031, 9223, 3376, 7017, 106, 106, 10853, 106, 106, 10026, 11052, 106, 28528, 23613, 1378, 7400, 106, 24509, 10150, 159, 106, 106, 28870, 5825, 106, 488, 106, 106, 6535, 3305, 8554, 1227, 19167, 6322, 106, 4863, 5648, 4644, 106, 20271, 106, 4863, 5648, 32001, 488, 106, 32000, 20036, 106, 141, 1379, 1299, 1189, 30683, 1125, 8145, 16081, 1175, 9062, 14739, 4930, 116, 13826, 1215, 4644, 1300, 1158, 2989, 1125, 1964, 7042, 1125, 19167, 1643, 15355, 6687, 106, 106, 20616, 21198, 488, 106, 4455, 6282, 16915, 1215, 1233, 1379, 10436, 1129, 1300, 1189, 19171, 1232, 5770, 8640, 1188, 30059, 1124, 1125, 24509, 10150, 29183, 106, 106, 2272, 8934, 488, 106, 1686, 2578, 488, 125, 123, 125, 125, 119, 8224, 10527, 1110, 17034, 24509, 10150, 7018, 1189, 8145, 16081, 20031, 1300, 1158, 4446, 1125, 9744, 1125, 19167, 1293, 11229, 120, 126, 121, 24509, 10150, 159, 1110, 20116, 1568, 1282, 15092, 1227, 2854, 17957, 2750, 1561, 9665, 1965, 15695, 1199, 1318, 22337, 3128, 8249, 1300, 31308, 2068, 2569, 244, 1215, 1158, 20615, 7727, 1378, 1125, 24509, 10150, 159, 1256, 1158, 3370, 31321, 1170, 24668, 146, 1125, 31321, 1173, 2506, 1124, 1202, 1507, 15862, 1110, 26963, 1318, 1294, 23858, 1235, 3787, 10293, 109, 1188, 6577, 18199, 1125, 10319, 119, 1338, 2949, 1363, 1199, 3171, 10431, 1256, 8920, 16811, 1207, 8758, 1125, 10319, 1186, 5476, 16939, 6687, 3762, 1189, 31110, 10423, 1167, 2130, 6175, 3310, 1207, 1736, 20447, 2518, 1125, 4644, 15656, 1857, 8935, 1167, 24187, 196, 3261, 2982, 1357, 9442, 30119, 2770, 8700, 1125, 1736, 3486, 143, 146, 1125, 1158, 3385, 10023, 1125, 4644, 2068, 1479, 25563, 1186, 488, 125, 123, 124, 132, 119, 2004, 1913, 25785, 8858, 1188, 1197, 23004, 1304, 14667, 1469, 1197, 20088, 1125, 10319, 1256, 24061, 1125, 1158, 5401, 1125, 4644, 1188, 24509, 10150, 29183, 106, 106, 6198, 5101, 1234, 1215, 1207, 17504, 2391, 2519, 14393, 7400, 1256, 3089, 1995, 1643, 152, 8567, 3031, 1318, 7793, 1618, 9422, 1256, 4644, 1125, 11289, 18482, 24509, 10150, 7018, 1202, 1507, 1558, 1167, 1170, 6513, 1125, 1282, 1209, 140, 1125, 31321, 14760, 1867, 3100, 2004, 12683, 1309, 1995, 10319, 3618, 1197, 15417, 13982, 1188, 24509, 10150, 7018, 7970, 4202, 9765, 1313, 1440, 6468, 25970, 1370, 1189, 1606, 6628, 1125, 29258, 1524, 17098, 1186, 5169, 1227, 1844, 1309, 4644, 1299, 20167, 1160, 1408, 2511, 1980, 9587, 140, 9808, 1653, 2749, 488, 125, 123, 125, 126, 119, 1170, 24668, 146, 1125, 26181, 152, 1490, 119, 6411, 1120, 1306, 1322, 1219, 3366, 1110, 16752, 1207, 6314, 2335, 18147, 1125, 24509, 10150, 7018, 1167, 1207, 17504, 1125, 4644, 2004, 1913, 27023, 11290, 1819, 3914, 1207, 21853, 1300, 1189, 28263, 1125, 24509, 10150, 7018, 1186, 2126, 1199, 1536, 6571, 1160, 1606, 3433, 189, 1655, 1159, 1233, 1379, 1524, 1167, 5610, 8145, 16081, 1297, 1173, 2506, 1124, 1202, 1507, 1558, 1110, 25070, 2391, 1125, 8823, 1140, 1571, 14244, 1392, 3672, 1158, 12705, 1197, 6282, 15025, 1182, 1164, 1785, 1125, 4644, 1186, 3141, 1309, 1158, 3385, 3618, 8999, 7314, 26242, 1987, 1158, 21014, 1167, 1207, 7981, 1125, 1643, 15355, 6687, 106, 106, 159, 2607, 3617, 1408, 14429, 1170, 488, 129, 18802, 20575, 4644, 1110, 16752, 1233, 4748, 1189, 8145, 16081, 1304, 6953, 14739, 4930, 24790, 1215, 1643, 15355, 6687, 1233, 1379, 1110, 14867, 1913, 20214, 244, 5693, 2335, 3274, 28205, 1343, 1125, 1606, 8362, 3051, 1125, 8970, 3133, 2567, 1318, 3564, 11473, 12625, 1188, 1158, 1622, 1227, 20601, 1768, 1110, 1913, 15519, 2290, 1170, 1874, 1125, 2579, 1606, 3743, 10444, 4821, 3762, 1158, 30179, 1303, 1125, 16541, 5276, 1125, 31321, 1170, 18147, 1125, 31321, 8887, 119, 1110, 5131, 3118, 1594, 15400, 1469, 8224, 10527, 1256, 27937, 24509, 10150, 159, 1313, 1594, 10253, 1125, 3370, 1233, 2064, 2750, 2782, 26881, 30715, 4539, 1117, 1313, 8224, 140, 9808, 106, 106, 141, 1379, 1110, 1913, 14268, 1313, 1318, 6327, 10901, 18212, 1300, 6536, 1170, 488, 129, 3141, 488, 125, 123, 125, 126, 121, 7823, 1125, 1816, 6327, 1233, 1379, 8135, 1367, 6897, 244, 1186, 31423, 1188, 1318, 3060, 1300, 1170, 1111, 19876, 174, 2249, 8590, 3640, 9032, 14367, 5725, 5444, 1134, 3649, 5592, 9562, 1188, 1158, 8655, 4053, 1227, 8145, 16081, 1167, 1313, 1158, 30179, 1303, 1158, 19403, 1125, 18398, 4644, 1175, 3681, 1479, 25563, 116, 1125, 1408, 1125, 488, 130, 17041, 4644, 1233, 1379, 1110, 1913, 19885, 244, 1300, 1207, 5028, 29472, 1227, 1111, 19876, 174, 2249, 23149, 8590, 3640, 173, 1167, 1110, 21055, 1469, 3203, 1113, 1308, 1346, 1251, 5749, 1318, 12074, 3702, 5685, 1170, 1111, 19876, 174, 2249, 14678, 4766, 1207, 2962, 9881, 5521, 2519, 17244, 1186, 14334, 1125, 2140, 5865, 4367, 21434, 4095, 9997, 1816, 15345, 1162, 3031, 9223, 3376, 7017, 106, 106, 10853, 106, 106, 10026, 11052, 488, 106, 28528, 23613, 1378, 7400, 106, 24509, 10150, 159, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 6535, 3305, 8554, 1227, 19167, 6322, 106, 4863, 5648, 4644, 106, 20271, 106, 4863, 5648, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 141, 1379, 1299, 1189, 30683, 1125, 8145, 16081, 1175, 9062, 14739, 4930, 116, 13826, 1215, 4644, 1300, 1158, 2989, 1125, 1964, 7042, 1125, 19167, 1643, 15355, 6687, 106, 106, 20616, 21198, 488, 106, 4455, 6282, 16915, 1215, 1233, 1379, 10436, 1129, 1300, 1189, 19171, 1232, 5770, 8640, 1188, 30059, 1124, 1125, 24509, 10150, 29183, 106, 106, 2272, 8934, 488, 106, 1686, 2578, 488, 125, 123, 125, 125, 119, 8224, 10527, 1110, 17034, 24509, 10150, 7018, 1189, 8145, 16081, 20031, 1300, 1158, 4446, 1125, 9744, 1125, 19167, 1293, 11229, 120, 126, 121, 24509, 10150, 159, 1110, 20116, 1568, 1282, 15092, 1227, 2854, 17957, 2750, 1561, 9665, 1965, 15695, 1199, 1318, 22337, 3128, 8249, 1300, 31308, 2068, 2569, 244, 1215, 1158, 20615, 7727, 1378, 1125, 24509, 10150, 159, 1256, 1158, 3370, 31321, 1170, 24668, 146, 1125, 31321, 1173, 2506, 1124, 1202, 1507, 15862, 1110, 26963, 1318, 1294, 23858, 1235, 3787, 10293, 109, 1188, 6577, 18199, 1125, 10319, 119, 1338, 2949, 1363, 1199, 3171, 10431, 1256, 8920, 16811, 1207, 8758, 1125, 10319, 1186, 5476, 16939, 6687, 3762, 1189, 31110, 10423, 1167, 2130, 6175, 3310, 1207, 1736, 20447, 2518, 1125, 4644, 15656, 1857, 8935, 1167, 24187, 196, 3261, 2982, 1357, 9442, 30119, 2770, 8700, 1125, 1736, 3486, 143, 146, 1125, 1158, 3385, 10023, 1125, 4644, 2068, 1479, 25563, 1186, 488, 125, 123, 124, 132, 119, 2004, 1913, 25785, 8858, 1188, 1197, 23004, 1304, 14667, 1469, 1197, 20088, 1125, 10319, 1256, 24061, 1125, 1158, 5401, 1125, 4644, 1188, 24509, 10150, 29183, 106, 106, 6198, 5101, 1234, 1215, 1207, 17504, 2391, 2519, 14393, 7400, 1256, 3089, 1995, 1643, 152, 8567, 3031, 1318, 7793, 1618, 9422, 1256, 4644, 1125, 11289, 18482, 24509, 10150, 7018, 1202, 1507, 1558, 1167, 1170, 6513, 1125, 1282, 1209, 140, 1125, 31321, 14760, 1867, 3100, 2004, 12683, 1309, 1995, 10319, 3618, 1197, 15417, 13982, 1188, 24509, 10150, 7018, 7970, 4202, 9765, 1313, 1440, 6468, 25970, 1370, 1189, 1606, 6628, 1125, 29258, 1524, 17098, 1186, 5169, 1227, 1844, 1309, 4644, 1299, 20167, 1160, 1408, 2511, 1980, 9587, 140, 9808, 1653, 2749, 488, 125, 123, 125, 126, 119, 1170, 24668, 146, 1125, 26181, 152, 1490, 119, 6411, 1120, 1306, 1322, 1219, 3366, 1110, 16752, 1207, 6314, 2335, 18147, 1125, 24509, 10150, 7018, 1167, 1207, 17504, 1125, 4644, 2004, 1913, 27023, 11290, 1819, 3914, 1207, 21853, 1300, 1189, 28263, 1125, 24509, 10150, 7018, 1186, 2126, 1199, 1536, 6571, 1160, 1606, 3433, 189, 1655, 1159, 1233, 1379, 1524, 1167, 5610, 8145, 16081, 1297, 1173, 2506, 1124, 1202, 1507, 1558, 1110, 25070, 2391, 1125, 8823, 1140, 1571, 14244, 1392, 3672, 1158, 12705, 1197, 6282, 15025, 1182, 1164, 1785, 1125, 4644, 1186, 3141, 1309, 1158, 3385, 3618, 8999, 7314, 26242, 1987, 1158, 21014, 1167, 1207, 7981, 1125, 1643, 15355, 6687, 106, 106, 159, 2607, 3617, 1408, 14429, 1170, 488, 129, 18802, 20575, 4644, 1110, 16752, 1233, 4748, 1189, 8145, 16081, 1304, 6953, 14739, 4930, 24790, 1215, 1643, 15355, 6687, 1233, 1379, 1110, 14867, 1913, 20214, 244, 5693, 2335, 3274, 28205, 1343, 1125, 1606, 8362, 3051, 1125, 8970, 3133, 2567, 1318, 3564, 11473, 12625, 1188, 1158, 1622, 1227, 20601, 1768, 1110, 1913, 15519, 2290, 1170, 1874, 1125, 2579, 1606, 3743, 10444, 4821, 3762, 1158, 30179, 1303, 1125, 16541, 5276, 1125, 31321, 1170, 18147, 1125, 31321, 8887, 119, 1110, 5131, 3118, 1594, 15400, 1469, 8224, 10527, 1256, 27937, 24509, 10150, 159, 1313, 1594, 10253, 1125, 3370, 1233, 2064, 2750, 2782, 26881, 30715, 4539, 1117, 1313, 8224, 140, 9808, 106, 106, 141, 1379, 1110, 1913, 14268, 1313, 1318, 6327, 10901, 18212, 1300, 6536, 1170, 488, 129, 3141, 488, 125, 123, 125, 126, 121, 7823, 1125, 1816, 6327, 1233, 1379, 8135, 1367, 6897, 244, 1186, 31423, 1188, 1318, 3060, 1300, 1170, 1111, 19876, 174, 2249, 8590, 3640, 9032, 14367, 5725, 5444, 1134, 3649, 5592, 9562, 1188, 1158, 8655, 4053, 1227, 8145, 16081, 1167, 1313, 1158, 30179, 1303, 1158, 19403, 1125, 18398, 4644, 1175, 3681, 1479, 25563, 116, 1125, 1408, 1125, 488, 130, 17041, 4644, 1233, 1379, 1110, 1913, 19885, 244, 1300, 1207, 5028, 29472, 1227, 1111, 19876, 174, 2249, 23149, 8590, 3640, 173, 1167, 1110, 21055, 1469, 3203, 1113, 1308, 1346, 1251, 5749, 1318, 12074, 3702, 5685, 1170, 1111, 19876, 174, 2249, 14678, 4766, 1207, 2962, 9881, 5521, 2519, 17244, 1186, 14334, 1125, 2140, 5865, 4367, 21434, 4095, 9997, 1816, 15345, 1162, 3031, 9223, 3376, 7017, 106, 106, 10853, 106, 106, 10026, 11052, 488, 106, 28528, 23613, 1378, 7400, 106, 24509, 10150, 159, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 6535, 3305, 8554, 1227, 19167, 6322, 106, 4863, 5648, 4644, 106, 20271, 106, 4863, 5648, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 6108, 1190, 244, 1548, 1456, 185, 1493, 1299, 1189, 1978, 1486, 1228, 3207, 15988, 2052, 7632, 1125, 3370, 10816, 190, 5230, 6387, 1313, 12496, 10642, 2915, 7178, 10772, 6280, 7576, 1137, 3315, 21364, 1299, 1257, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 11604, 161, 3145, 1186, 2720, 1257, 25170, 11246, 2040, 2399, 1299, 2072, 4701, 13754, 1303, 1215, 1170, 19664, 1126, 1325, 8375, 121, 6218, 8774, 13177, 1299, 3977, 2254, 11604, 19963, 19420, 2254, 11183, 5255, 3798, 106, 106, 5164, 7318, 1125, 6303, 1197, 5999, 14292, 1125, 12339, 10816, 190, 1357, 1317, 5719, 1197, 9950, 5116, 7786, 1606, 9581, 1524, 1158, 3370, 5956, 20020, 121, 14301, 12632, 1125, 3370, 1508, 1188, 1158, 8551, 11167, 1835, 1158, 3370, 12320, 1366, 1167, 1158, 3370, 5225, 1134, 3798, 1808, 13809, 16398, 19873, 8495, 1197, 11733, 12078, 1167, 18186, 1571, 11733, 1125, 1158, 30070, 14782, 4634, 119, 7706, 1207, 2493, 4321, 2004, 1318, 5601, 1125, 1606, 2424, 1524, 1186, 1408, 1125, 1964, 5601, 7178, 7165, 1653, 488, 125, 123, 123, 130, 119, 1158, 1325, 8375, 3031, 17350, 1125, 488, 131, 132, 4634, 7556, 2011, 1186, 7762, 15490, 3702, 2770, 13809, 25288, 121, 1808, 1781, 2052, 7632, 4634, 1508, 4701, 1606, 1464, 3377, 1234, 1524, 1188, 1318, 5116, 1348, 1734, 3342, 10531, 1382, 1170, 3090, 1125, 1805, 31625, 31834, 1207, 2646, 3436, 5116, 7786, 7706, 1309, 1170, 11622, 6093, 106, 106, 2606, 6117, 1125, 1158, 1325, 8375, 1299, 1283, 12471, 488, 124, 119, 124, 31135, 16910, 2487, 1189, 7077, 1299, 25070, 1215, 1170, 1233, 2506, 1175, 6921, 26798, 116, 1167, 1189, 3419, 7077, 1215, 1207, 1200, 20229, 1596, 121, 6218, 9209, 1299, 17597, 1723, 1594, 10932, 7400, 1299, 1114, 1439, 1188, 24979, 119, 1254, 2336, 1379, 3486, 2307, 262, 2104, 3441, 1216, 2139, 488, 128, 128, 121, 3450, 7371, 8103, 1189, 1996, 2864, 1125, 488, 130, 488, 123, 123, 123, 3403, 2487, 3997, 488, 124, 123, 120, 124, 128, 2199, 6320, 3898, 1701, 1186, 11622, 6093, 106, 106, 4499, 1162, 1125, 1158, 1325, 8375, 106, 106, 3562, 2893, 172, 1277, 12253, 2353, 3859, 1974, 6744, 2121, 1158, 3370, 1167, 26914, 1186, 17490, 1508, 15927, 1805, 3814, 1790, 3392, 1207, 1200, 20229, 1596, 6058, 1606, 30802, 1524, 1256, 1207, 13809, 1125, 1158, 3908, 1167, 1227, 3089, 121, 2814, 8698, 1167, 1170, 10342, 1125, 1158, 3370, 1281, 4256, 2774, 8350, 1979, 2209, 1835, 1170, 1233, 2506, 7958, 462, 6921, 26798, 116, 1167, 1207, 1200, 20229, 1596, 3702, 1207, 9967, 13523, 1104, 1313, 1158, 15229, 20020, 121, 1653, 9636, 12452, 2851, 1238, 1915, 1880, 1309, 1207, 1200, 20229, 1596, 2004, 1158, 4351, 1197, 8258, 1543, 1118, 1234, 1215, 14884, 10328, 1356, 3850, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1197, 13643, 1125, 1158, 15229, 7039, 1125, 5028, 15838, 1125, 15407, 1300, 1197, 6943, 4716, 1189, 13315, 1256, 8060, 1125, 6659, 16260, 121, 16132, 6591, 1660, 1123, 1188, 3862, 1125, 488, 124, 132, 130, 130, 1188, 10259, 1107, 1318, 4575, 1125, 488, 129, 128, 1781, 2052, 7632, 3993, 22206, 1879, 7786, 28359, 2893, 172, 1277, 12253, 1362, 4575, 8642, 1277, 1186, 2720, 3471, 1124, 2399, 3031, 17989, 1300, 1227, 11002, 16940, 1188, 21398, 1576, 21262, 1125, 15991, 1189, 4392, 6285, 1125, 19959, 1189, 4367, 1283, 19897, 24174, 262, 177, 3513, 116, 2985, 3591, 1186, 2320, 11755, 17105, 1188, 3790, 12509, 1227, 5566, 1167, 5398, 4696, 2134, 3631, 6711, 1288, 12325, 1281, 1982, 29155, 12551, 17647, 2134, 7271, 121, 8637, 488, 124, 132, 130, 130, 1167, 488, 124, 132, 131, 132, 3997, 488, 124, 123, 2199, 1197, 4634, 1125, 1158, 2893, 172, 1277, 12253, 2004, 3216, 3502, 106, 106, 18263, 28821, 15988, 2052, 7632, 1125, 1158, 1248, 8567, 2353, 4511, 1158, 3011, 1125, 1158, 6169, 4264, 20020, 1357, 1281, 13536, 1660, 1123, 1317, 3285, 1125, 10453, 488, 124, 132, 132, 123, 119, 1170, 4367, 11246, 1125, 3790, 5445, 8567, 2985, 18494, 1188, 3977, 1125, 1158, 4104, 6424, 10328, 1797, 6204, 6982, 1318, 25505, 26190, 1215, 1170, 1325, 1470, 1462, 1210, 2564, 1634, 9566, 1175, 1636, 28888, 11246, 1125, 1158, 30624, 1496, 488, 125, 128, 1781, 2052, 7632, 1125, 3790, 4379, 16260, 1125, 5891, 1243, 15935, 8363, 1234, 1186, 488, 124, 132, 132, 125, 1188, 1158, 2893, 172, 1277, 12253, 2487, 1170, 2510, 15988, 2052, 7632, 14553, 1234, 1167, 1170, 5097, 19410, 172, 29155, 121, 1643, 2893, 172, 1277, 12253, 1971, 1343, 1158, 1922, 1897, 1953, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 1175, 3308, 3551, 11452, 1186, 2720, 1257, 9650, 1125, 2498, 1125, 1158, 4575, 8642, 1277, 116, 2648, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 11560, 141, 11452, 1186, 2720, 1257, 25170, 11246, 1125, 1158, 4575, 8642, 1277, 1576, 1653, 488, 124, 132, 132, 130, 2399, 1268, 1123, 1594, 1874, 18183, 1186, 3712, 12132, 1227, 11246, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 5252, 1188, 1548, 1461, 197, 1205, 1186, 488, 124, 129, 127, 129, 121, 106, 106, 6913, 2052, 7632, 4634, 106, 106, 23328, 1192, 1257, 11733, 18186, 1167, 1125, 24301, 106, 106, 23328, 1233, 1257, 11733, 12078, 1167, 4199, 6087, 1675, 9495, 1227, 7019, 106, 106, 23328, 1165, 1257, 11733, 1125, 1158, 2492, 106, 106, 23328, 1222, 1257, 8287, 2035, 23480, 11733, 1125, 1158, 3020, 1167, 1125, 1271, 20726, 5427, 106, 106, 23328, 1254, 1257, 11733, 1125, 17319, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 2606, 1456, 185, 1493, 1323, 488, 282, 19760, 10394, 19190, 9891, 1125, 17597, 6396, 182, 2240, 184, 1214, 4379, 1153, 178, 13430, 116, 106, 106, 28870, 5825, 114, 32001, 488, 106, 32000, 20036, 106, 3562, 25170, 1548, 1456, 185, 1493, 1299, 1189, 18402, 1160, 15988, 2052, 7632, 1125, 3370, 10816, 190, 5230, 6387, 1313, 5542, 13809, 7178, 10772, 6280, 7576, 1137, 3315, 21364, 1299, 1257, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 11604, 161, 3145, 1186, 2720, 1257, 25170, 11246, 2040, 2399, 1299, 2072, 4701, 13754, 1303, 1215, 1170, 19664, 1126, 1325, 8375, 121, 6218, 8774, 13177, 1299, 3977, 2254, 11604, 19963, 19420, 2254, 11183, 5255, 3798, 106, 106, 5164, 7318, 1125, 6303, 1197, 5999, 14292, 1125, 12339, 10816, 190, 1357, 1317, 5719, 1197, 9950, 5116, 7786, 1606, 23540, 1524, 1158, 3370, 5956, 20020, 121, 14301, 12632, 1125, 3370, 1508, 1188, 1158, 8551, 11167, 1835, 1158, 3370, 12320, 1366, 1167, 1158, 3370, 5225, 1134, 3798, 1808, 13809, 16398, 19873, 8495, 1197, 11733, 12078, 1167, 18186, 1571, 11733, 1125, 1158, 30070, 14782, 4634, 119, 7706, 1207, 2493, 4321, 2004, 1318, 5601, 1125, 1606, 2424, 1524, 1186, 1408, 1125, 1964, 5601, 7178, 7165, 1653, 488, 125, 123, 123, 130, 119, 1158, 1325, 8375, 3031, 17350, 1125, 488, 131, 132, 4634, 7556, 2011, 1186, 7762, 15490, 3702, 2770, 13809, 25288, 121, 1808, 1781, 2052, 7632, 4634, 1508, 4701, 1606, 1464, 3377, 1234, 1524, 1188, 1318, 5116, 1348, 1734, 3342, 10531, 1382, 1170, 3090, 1125, 1805, 31625, 31834, 1207, 2646, 3436, 5116, 7786, 7706, 1309, 1170, 11622, 6093, 106, 106, 2606, 6117, 1125, 1158, 1325, 8375, 1299, 1283, 12471, 488, 124, 119, 124, 31135, 16910, 2487, 1189, 7077, 1299, 25070, 1215, 1170, 1233, 2506, 1175, 6921, 26798, 116, 1167, 1189, 3419, 7077, 1215, 1207, 1200, 20229, 1596, 121, 6218, 9209, 1299, 17597, 1723, 1594, 10932, 7400, 1299, 1114, 1439, 1188, 24979, 119, 1254, 2336, 1379, 3486, 2307, 262, 2104, 3441, 1216, 2139, 488, 128, 128, 121, 3450, 7371, 8103, 1189, 1996, 2864, 1125, 488, 130, 488, 123, 123, 123, 3403, 2487, 3997, 488, 124, 123, 120, 124, 128, 2199, 6320, 3898, 1701, 1186, 11622, 6093, 106, 106, 4499, 1162, 1125, 1158, 1325, 8375, 106, 106, 3562, 2893, 172, 1277, 12253, 2353, 3859, 1974, 6744, 2121, 1158, 3370, 1167, 26914, 1186, 17490, 1508, 15927, 1805, 3814, 1790, 3392, 1207, 1200, 20229, 1596, 6058, 1606, 30802, 1524, 1256, 1207, 13809, 1125, 1158, 3908, 1167, 1227, 3089, 121, 2814, 8698, 1167, 1170, 10342, 1125, 1158, 3370, 1281, 4256, 2774, 8350, 1979, 2209, 1835, 1170, 1233, 2506, 7958, 462, 6921, 26798, 116, 1167, 1207, 1200, 20229, 1596, 3702, 1207, 9967, 13523, 1104, 1313, 1158, 15229, 20020, 121, 1653, 9636, 12452, 2851, 1238, 1915, 1880, 1309, 1207, 1200, 20229, 1596, 2004, 1158, 4351, 1197, 8258, 1543, 1118, 1234, 1215, 14884, 10328, 1356, 3850, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1197, 13643, 1125, 1158, 15229, 7039, 1125, 5028, 15838, 1125, 15407, 1300, 1197, 6943, 4716, 1189, 13315, 1256, 8060, 1125, 6659, 16260, 121, 16132, 6591, 1660, 1123, 1188, 3862, 1125, 488, 124, 132, 130, 130, 1188, 10259, 1107, 1318, 4575, 1125, 488, 129, 128, 1781, 2052, 7632, 3993, 22206, 1879, 7786, 28359, 2893, 172, 1277, 12253, 1362, 4575, 8642, 1277, 1186, 2720, 3471, 1124, 2399, 3031, 17989, 1300, 1227, 11002, 16940, 1188, 21398, 1576, 21262, 1125, 15991, 1189, 4392, 6285, 1125, 19959, 1189, 4367, 1283, 19897, 24174, 262, 177, 3513, 116, 2985, 3591, 1186, 2320, 11755, 17105, 1188, 3790, 12509, 1227, 5566, 1167, 5398, 4696, 2134, 3631, 6711, 1288, 12325, 1281, 1982, 29155, 12551, 17647, 2134, 7271, 121, 8637, 488, 124, 132, 130, 130, 1167, 488, 124, 132, 131, 132, 3997, 488, 124, 123, 2199, 1197, 4634, 1125, 1158, 2893, 172, 1277, 12253, 2004, 3216, 3502, 106, 106, 18263, 28821, 15988, 2052, 7632, 1125, 1158, 1248, 8567, 2353, 4511, 1158, 3011, 1125, 1158, 6169, 4264, 20020, 1357, 1281, 13536, 1660, 1123, 1317, 3285, 1125, 10453, 488, 124, 132, 132, 123, 119, 1170, 4367, 11246, 1125, 3790, 5445, 8567, 2985, 18494, 1188, 3977, 1125, 1158, 4104, 6424, 10328, 1797, 6204, 6982, 1318, 25505, 26190, 1215, 1170, 1325, 1470, 1462, 1210, 2564, 1634, 9566, 1175, 1636, 28888, 11246, 1125, 1158, 30624, 1496, 488, 125, 128, 1781, 2052, 7632, 1125, 3790, 4379, 16260, 1125, 5891, 1243, 15935, 8363, 1234, 1186, 488, 124, 132, 132, 125, 1188, 1158, 2893, 172, 1277, 12253, 2487, 1170, 2510, 15988, 2052, 7632, 14553, 1234, 1167, 1170, 5097, 19410, 172, 29155, 121, 1643, 2893, 172, 1277, 12253, 1971, 1343, 1158, 1922, 1897, 1953, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 1175, 3308, 3551, 11452, 1186, 2720, 1257, 9650, 1125, 2498, 1125, 1158, 4575, 8642, 1277, 116, 2648, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 11560, 141, 11452, 1186, 2720, 1257, 25170, 11246, 1125, 1158, 4575, 8642, 1277, 1576, 1653, 488, 124, 132, 132, 130, 2399, 1268, 1123, 1594, 1874, 18183, 1186, 3712, 12132, 1227, 11246, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 5252, 1188, 1548, 1461, 197, 1205, 1186, 488, 124, 129, 127, 129, 121, 106, 106, 6913, 2052, 7632, 4634, 106, 106, 23328, 1192, 1257, 11733, 18186, 1167, 1125, 24301, 106, 106, 23328, 1233, 1257, 11733, 12078, 1167, 4199, 6087, 1675, 9495, 1227, 7019, 106, 106, 23328, 1165, 1257, 11733, 1125, 1158, 2492, 106, 106, 23328, 1222, 1257, 8287, 2035, 23480, 11733, 1125, 1158, 3020, 1167, 1125, 1271, 20726, 5427, 106, 106, 23328, 1254, 1257, 11733, 1125, 17319, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 2606, 1456, 185, 1493, 1323, 488, 282, 19760, 10394, 19190, 9891, 1125, 17597, 6396, 182, 2240, 184, 1214, 4379, 1153, 178, 13430, 116, 106, 106, 28870, 5825, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 25170, 1548, 1456, 185, 1493, 1299, 1189, 18402, 1160, 15988, 2052, 7632, 1125, 3370, 10816, 190, 5230, 6387, 1313, 5542, 13809, 7178, 10772, 6280, 7576, 1137, 3315, 21364, 1299, 1257, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 11604, 161, 3145, 1186, 2720, 1257, 25170, 11246, 2040, 2399, 1299, 2072, 4701, 13754, 1303, 1215, 1170, 19664, 1126, 1325, 8375, 121, 6218, 8774, 13177, 1299, 3977, 2254, 11604, 19963, 19420, 2254, 11183, 5255, 3798, 106, 106, 5164, 7318, 1125, 6303, 1197, 5999, 14292, 1125, 12339, 10816, 190, 1357, 1317, 5719, 1197, 9950, 5116, 7786, 1606, 23540, 1524, 1158, 3370, 5956, 20020, 121, 14301, 12632, 1125, 3370, 1508, 1188, 1158, 8551, 11167, 1835, 1158, 3370, 12320, 1366, 1167, 1158, 3370, 5225, 1134, 3798, 1808, 13809, 16398, 19873, 8495, 1197, 11733, 12078, 1167, 18186, 1571, 11733, 1125, 1158, 30070, 14782, 4634, 119, 7706, 1207, 2493, 4321, 2004, 1318, 5601, 1125, 1606, 2424, 1524, 1186, 1408, 1125, 1964, 5601, 7178, 7165, 1653, 488, 125, 123, 123, 130, 119, 1158, 1325, 8375, 3031, 17350, 1125, 488, 131, 132, 4634, 7556, 2011, 1186, 7762, 15490, 3702, 2770, 13809, 25288, 121, 1808, 1781, 2052, 7632, 4634, 1508, 4701, 1606, 1464, 3377, 1234, 1524, 1188, 1318, 5116, 1348, 1734, 3342, 10531, 1382, 1170, 3090, 1125, 1805, 31625, 31834, 1207, 2646, 3436, 5116, 7786, 7706, 1309, 1170, 11622, 6093, 106, 106, 2606, 6117, 1125, 1158, 1325, 8375, 1299, 1283, 12471, 488, 124, 119, 124, 31135, 16910, 2487, 1189, 7077, 1299, 25070, 1215, 1170, 1233, 2506, 1175, 6921, 26798, 116, 1167, 1189, 3419, 7077, 1215, 1207, 1200, 20229, 1596, 121, 6218, 9209, 1299, 17597, 1723, 1594, 10932, 7400, 1299, 1114, 1439, 1188, 24979, 119, 1254, 2336, 1379, 3486, 2307, 262, 2104, 3441, 1216, 2139, 488, 128, 128, 121, 3450, 7371, 8103, 1189, 1996, 2864, 1125, 488, 130, 488, 123, 123, 123, 3403, 2487, 3997, 488, 124, 123, 120, 124, 128, 2199, 6320, 3898, 1701, 1186, 11622, 6093, 106, 106, 4499, 1162, 1125, 1158, 1325, 8375, 106, 106, 3562, 2893, 172, 1277, 12253, 2353, 3859, 1974, 6744, 2121, 1158, 3370, 1167, 26914, 1186, 17490, 1508, 15927, 1805, 3814, 1790, 3392, 1207, 1200, 20229, 1596, 6058, 1606, 30802, 1524, 1256, 1207, 13809, 1125, 1158, 3908, 1167, 1227, 3089, 121, 2814, 8698, 1167, 1170, 10342, 1125, 1158, 3370, 1281, 4256, 2774, 8350, 1979, 2209, 1835, 1170, 1233, 2506, 7958, 462, 6921, 26798, 116, 1167, 1207, 1200, 20229, 1596, 3702, 1207, 9967, 13523, 1104, 1313, 1158, 15229, 20020, 121, 1653, 9636, 12452, 2851, 1238, 1915, 1880, 1309, 1207, 1200, 20229, 1596, 2004, 1158, 4351, 1197, 8258, 1543, 1118, 1234, 1215, 14884, 10328, 1356, 3850, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1197, 13643, 1125, 1158, 15229, 7039, 1125, 5028, 15838, 1125, 15407, 1300, 1197, 6943, 4716, 1189, 13315, 1256, 8060, 1125, 6659, 16260, 121, 16132, 6591, 1660, 1123, 1188, 3862, 1125, 488, 124, 132, 130, 130, 1188, 10259, 1107, 1318, 4575, 1125, 488, 129, 128, 1781, 2052, 7632, 3993, 22206, 1879, 7786, 28359, 2893, 172, 1277, 12253, 1362, 4575, 8642, 1277, 1186, 2720, 3471, 1124, 2399, 3031, 17989, 1300, 1227, 11002, 16940, 1188, 21398, 1576, 21262, 1125, 15991, 1189, 4392, 6285, 1125, 19959, 1189, 4367, 1283, 19897, 24174, 262, 177, 3513, 116, 2985, 3591, 1186, 2320, 11755, 17105, 1188, 3790, 12509, 1227, 5566, 1167, 5398, 4696, 2134, 3631, 6711, 1288, 12325, 1281, 1982, 29155, 12551, 17647, 2134, 7271, 121, 8637, 488, 124, 132, 130, 130, 1167, 488, 124, 132, 131, 132, 3997, 488, 124, 123, 2199, 1197, 4634, 1125, 1158, 2893, 172, 1277, 12253, 2004, 3216, 3502, 106, 106, 18263, 28821, 15988, 2052, 7632, 1125, 1158, 1248, 8567, 2353, 4511, 1158, 3011, 1125, 1158, 6169, 4264, 20020, 1357, 1281, 13536, 1660, 1123, 1317, 3285, 1125, 10453, 488, 124, 132, 132, 123, 119, 1170, 4367, 11246, 1125, 3790, 5445, 8567, 2985, 18494, 1188, 3977, 1125, 1158, 4104, 6424, 10328, 1797, 6204, 6982, 1318, 25505, 26190, 1215, 1170, 1325, 1470, 1462, 1210, 2564, 1634, 9566, 1175, 1636, 28888, 11246, 1125, 1158, 30624, 1496, 488, 125, 128, 1781, 2052, 7632, 1125, 3790, 4379, 16260, 1125, 5891, 1243, 15935, 8363, 1234, 1186, 488, 124, 132, 132, 125, 1188, 1158, 2893, 172, 1277, 12253, 2487, 1170, 2510, 15988, 2052, 7632, 14553, 1234, 1167, 1170, 5097, 19410, 172, 29155, 121, 1643, 2893, 172, 1277, 12253, 1971, 1343, 1158, 1922, 1897, 1953, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 1175, 3308, 3551, 11452, 1186, 2720, 1257, 9650, 1125, 2498, 1125, 1158, 4575, 8642, 1277, 116, 2648, 1325, 1470, 1462, 1210, 2564, 1634, 1315, 1232, 1554, 31606, 2893, 172, 1277, 12253, 11560, 141, 11452, 1186, 2720, 1257, 25170, 11246, 1125, 1158, 4575, 8642, 1277, 1576, 1653, 488, 124, 132, 132, 130, 2399, 1268, 1123, 1594, 1874, 18183, 1186, 3712, 12132, 1227, 11246, 1293, 3604, 177, 6299, 16860, 7198, 184, 1548, 1456, 185, 1493, 5252, 1188, 1548, 1461, 197, 1205, 1186, 488, 124, 129, 127, 129, 121, 106, 106, 6913, 2052, 7632, 4634, 106, 106, 23328, 1192, 1257, 11733, 18186, 1167, 1125, 24301, 106, 106, 23328, 1233, 1257, 11733, 12078, 1167, 4199, 6087, 1675, 9495, 1227, 7019, 106, 106, 23328, 1165, 1257, 11733, 1125, 1158, 2492, 106, 106, 23328, 1222, 1257, 8287, 2035, 23480, 11733, 1125, 1158, 3020, 1167, 1125, 1271, 20726, 5427, 106, 106, 23328, 1254, 1257, 11733, 1125, 17319, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 2606, 1456, 185, 1493, 1323, 488, 282, 19760, 10394, 19190, 9891, 1125, 17597, 6396, 182, 2240, 184, 1214, 4379, 1153, 178, 13430, 116, 106, 106, 28870, 5825, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 157, 1108, 1445, 1915, 24270, 1257, 106, 106, 155, 1128, 2548, 20028, 106, 106, 145, 22137, 5519, 1839, 11275, 7162, 1445, 488, 106, 26622, 1379, 7162, 21588, 6574, 1137, 1205, 1346, 488, 124, 130, 132, 132, 1323, 6721, 488, 124, 131, 130, 127, 1496, 7027, 4819, 9159, 1125, 1257, 106, 5348, 11275, 7162, 1445, 1175, 124, 131, 127, 124, 120, 124, 132, 124, 132, 1496, 18866, 15173, 9159, 1125, 3203, 8658, 1257, 106, 6780, 7162, 1445, 1175, 124, 131, 131, 128, 120, 124, 132, 128, 125, 1496, 3151, 8658, 5519, 1839, 11275, 7162, 21588, 19166, 15173, 9159, 1125, 1257, 106, 15521, 7162, 1445, 1175, 124, 132, 124, 126, 120, 124, 132, 132, 126, 1496, 1131, 1120, 1125, 6780, 7162, 21588, 8328, 1125, 1158, 7669, 2620, 9159, 1125, 1257, 106, 10759, 7162, 1445, 1175, 124, 132, 127, 125, 1496, 1131, 1190, 12987, 1167, 25081, 2040, 106, 23857, 7162, 1445, 1175, 124, 132, 129, 128, 1496, 29685, 17377, 2040, 106, 3699, 7162, 1445, 1175, 124, 131, 132, 127, 120, 124, 132, 130, 132, 1496, 6311, 8658, 5519, 1839, 11275, 7162, 21588, 27902, 7713, 2720, 1346, 9159, 1125, 1257, 106, 16703, 7162, 1445, 1175, 124, 132, 125, 124, 120, 125, 123, 123, 131, 1496, 1852, 1104, 1929, 1125, 14580, 1167, 15644, 2472, 2040, 106, 15521, 7162, 1445, 1175, 124, 132, 123, 124, 120, 124, 132, 129, 132, 1496, 8483, 8658, 5519, 1839, 11275, 7162, 21588, 19845, 23767, 106, 13659, 2904, 1286, 7162, 21588, 1362, 13659, 2904, 1286, 1306, 1118, 1669, 244, 5445, 1108, 1445, 1175, 124, 132, 123, 130, 120, 124, 132, 131, 130, 1496, 1417, 2818, 1125, 3699, 7162, 21588, 27492, 1632, 1125, 9452, 121, 106, 106, 27884, 21272, 1104, 488, 106, 10935, 23062, 7162, 1445, 1175, 124, 131, 124, 124, 120, 124, 131, 128, 128, 1496, 21359, 1836, 24610, 106, 106, 155, 12974, 10329, 488, 106, 106, 1248, 10205, 7162, 21588, 14232, 3335, 1460, 1233, 3808, 7480, 1716, 1199, 1175, 124, 132, 126, 127, 120, 125, 123, 124, 129, 1496, 1299, 1318, 28252, 2794, 24610, 106, 106, 1686, 22107, 1188, 5348, 11275, 7162, 1445, 488, 106, 3743, 10468, 7162, 21588, 8446, 1188, 9428, 1487, 1104, 1313, 1170, 5927, 2720, 1125, 6389, 4653, 106, 16927, 7162, 1445, 1125, 1165, 12650, 30129, 1107, 106, 17671, 5348, 11275, 5445, 1108, 1445, 1125, 2801, 106, 106, 159, 30087, 106, 106, 145, 6417, 488, 106, 7162, 21588, 3418, 1125, 24242, 14296, 30171, 1175, 125, 123, 124, 125, 1576, 106, 106, 159, 3118, 29892, 488, 106, 29882, 1443, 7162, 21588, 4726, 23170, 5964, 29571, 1188, 3862, 1125, 488, 125, 123, 124, 126, 1469, 1165, 29152, 19251, 1313, 1170, 6315, 120, 1117, 1373, 121, 106, 106, 152, 1153, 1460, 488, 106, 1548, 1179, 26201, 1121, 7162, 21588, 6231, 2720, 1125, 7585, 1125, 7957, 121, 106, 106, 155, 1128, 2548, 20028, 2720, 32001, 488, 106, 32000, 20036, 106, 114, 157, 1108, 1445, 1915, 27115, 1257, 106, 106, 155, 1128, 2548, 20028, 106, 106, 145, 22137, 5519, 1839, 11275, 7162, 1445, 488, 106, 26622, 1379, 7162, 21588, 6574, 1195, 1307, 1346, 488, 124, 130, 132, 132, 1323, 6721, 488, 124, 131, 130, 127, 1496, 7027, 4819, 9159, 1125, 1257, 106, 5348, 11275, 7162, 1445, 1175, 124, 131, 127, 124, 120, 124, 132, 124, 132, 1496, 18866, 15173, 9159, 1125, 3203, 8658, 1257, 106, 6780, 7162, 1445, 1175, 124, 131, 131, 128, 120, 124, 132, 128, 125, 1496, 3151, 8658, 5519, 1839, 11275, 7162, 21588, 19166, 15173, 9159, 1125, 1257, 106, 15521, 7162, 1445, 1175, 124, 132, 124, 126, 120, 124, 132, 132, 126, 1496, 8658, 1125, 6780, 7162, 21588, 8328, 1125, 1158, 7669, 2620, 9159, 1125, 1257, 106, 10759, 7162, 1445, 1175, 124, 132, 127, 125, 1496, 25332, 1167, 25081, 2040, 106, 23857, 7162, 1445, 1175, 124, 132, 129, 128, 1496, 29685, 5964, 2040, 106, 3699, 7162, 1445, 1175, 124, 131, 132, 127, 120, 124, 132, 130, 132, 1496, 6311, 8658, 5519, 1839, 11275, 7162, 21588, 27902, 7713, 15173, 9159, 1125, 1257, 106, 16703, 7162, 1445, 1175, 124, 132, 125, 124, 120, 125, 123, 123, 131, 1496, 13787, 1125, 14580, 1167, 29542, 2040, 106, 15521, 7162, 1445, 1175, 124, 132, 123, 124, 120, 124, 132, 129, 132, 1496, 8483, 8658, 5519, 1839, 11275, 7162, 21588, 30666, 23767, 106, 13659, 2904, 1286, 7162, 21588, 1362, 13659, 2904, 1286, 1306, 1118, 1669, 244, 5445, 1108, 1445, 1175, 124, 132, 123, 130, 120, 124, 132, 131, 130, 1496, 1417, 2818, 1125, 3699, 7162, 21588, 27492, 1632, 1125, 9452, 121, 106, 106, 27884, 27539, 488, 106, 10935, 23062, 7162, 1445, 1175, 124, 131, 124, 124, 120, 124, 131, 128, 128, 1496, 21359, 1836, 24610, 106, 106, 155, 12974, 10329, 488, 106, 106, 1248, 10205, 7162, 21588, 14232, 3335, 1460, 1233, 3808, 7480, 1716, 1199, 1175, 124, 132, 126, 127, 120, 125, 123, 124, 129, 1496, 1299, 1318, 28252, 2794, 25572, 106, 106, 1686, 22107, 1188, 5348, 11275, 7162, 1445, 488, 106, 3743, 10468, 7162, 21588, 8446, 1188, 10947, 1487, 1104, 1313, 1170, 5927, 2720, 1125, 6389, 4653, 106, 16927, 7162, 1445, 1125, 1165, 12650, 30129, 1107, 106, 17671, 5348, 11275, 5445, 1108, 1445, 1125, 2801, 106, 106, 159, 30087, 106, 106, 145, 6417, 488, 106, 7162, 21588, 3418, 1125, 24242, 14296, 30171, 1175, 125, 123, 124, 125, 1576, 106, 106, 159, 3118, 29892, 488, 106, 29882, 1443, 7162, 21588, 4726, 23170, 5964, 29571, 1188, 3862, 1125, 488, 125, 123, 124, 126, 1469, 1165, 29152, 19251, 1313, 1170, 6315, 120, 1117, 1373, 121, 106, 106, 152, 1153, 1460, 488, 106, 1548, 1179, 26201, 1121, 7162, 21588, 6231, 2720, 1125, 7585, 1125, 7957, 121, 106, 106, 155, 1128, 2548, 20028, 2720, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 157, 1108, 1445, 1915, 27115, 1257, 106, 106, 155, 1128, 2548, 20028, 106, 106, 145, 22137, 5519, 1839, 11275, 7162, 1445, 488, 106, 26622, 1379, 7162, 21588, 6574, 1195, 1307, 1346, 488, 124, 130, 132, 132, 1323, 6721, 488, 124, 131, 130, 127, 1496, 7027, 4819, 9159, 1125, 1257, 106, 5348, 11275, 7162, 1445, 1175, 124, 131, 127, 124, 120, 124, 132, 124, 132, 1496, 18866, 15173, 9159, 1125, 3203, 8658, 1257, 106, 6780, 7162, 1445, 1175, 124, 131, 131, 128, 120, 124, 132, 128, 125, 1496, 3151, 8658, 5519, 1839, 11275, 7162, 21588, 19166, 15173, 9159, 1125, 1257, 106, 15521, 7162, 1445, 1175, 124, 132, 124, 126, 120, 124, 132, 132, 126, 1496, 8658, 1125, 6780, 7162, 21588, 8328, 1125, 1158, 7669, 2620, 9159, 1125, 1257, 106, 10759, 7162, 1445, 1175, 124, 132, 127, 125, 1496, 25332, 1167, 25081, 2040, 106, 23857, 7162, 1445, 1175, 124, 132, 129, 128, 1496, 29685, 5964, 2040, 106, 3699, 7162, 1445, 1175, 124, 131, 132, 127, 120, 124, 132, 130, 132, 1496, 6311, 8658, 5519, 1839, 11275, 7162, 21588, 27902, 7713, 15173, 9159, 1125, 1257, 106, 16703, 7162, 1445, 1175, 124, 132, 125, 124, 120, 125, 123, 123, 131, 1496, 13787, 1125, 14580, 1167, 29542, 2040, 106, 15521, 7162, 1445, 1175, 124, 132, 123, 124, 120, 124, 132, 129, 132, 1496, 8483, 8658, 5519, 1839, 11275, 7162, 21588, 30666, 23767, 106, 13659, 2904, 1286, 7162, 21588, 1362, 13659, 2904, 1286, 1306, 1118, 1669, 244, 5445, 1108, 1445, 1175, 124, 132, 123, 130, 120, 124, 132, 131, 130, 1496, 1417, 2818, 1125, 3699, 7162, 21588, 27492, 1632, 1125, 9452, 121, 106, 106, 27884, 27539, 488, 106, 10935, 23062, 7162, 1445, 1175, 124, 131, 124, 124, 120, 124, 131, 128, 128, 1496, 21359, 1836, 24610, 106, 106, 155, 12974, 10329, 488, 106, 106, 1248, 10205, 7162, 21588, 14232, 3335, 1460, 1233, 3808, 7480, 1716, 1199, 1175, 124, 132, 126, 127, 120, 125, 123, 124, 129, 1496, 1299, 1318, 28252, 2794, 25572, 106, 106, 1686, 22107, 1188, 5348, 11275, 7162, 1445, 488, 106, 3743, 10468, 7162, 21588, 8446, 1188, 10947, 1487, 1104, 1313, 1170, 5927, 2720, 1125, 6389, 4653, 106, 16927, 7162, 1445, 1125, 1165, 12650, 30129, 1107, 106, 17671, 5348, 11275, 5445, 1108, 1445, 1125, 2801, 106, 106, 159, 30087, 106, 106, 145, 6417, 488, 106, 7162, 21588, 3418, 1125, 24242, 14296, 30171, 1175, 125, 123, 124, 125, 1576, 106, 106, 159, 3118, 29892, 488, 106, 29882, 1443, 7162, 21588, 4726, 23170, 5964, 29571, 1188, 3862, 1125, 488, 125, 123, 124, 126, 1469, 1165, 29152, 19251, 1313, 1170, 6315, 120, 1117, 1373, 121, 106, 106, 152, 1153, 1460, 488, 106, 1548, 1179, 26201, 1121, 7162, 21588, 6231, 2720, 1125, 7585, 1125, 7957, 121, 106, 106, 155, 1128, 2548, 20028, 2720, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 22448, 7323, 3032, 11397, 1987, 119, 14232, 1170, 488, 125, 123, 2921, 488, 124, 131, 131, 123, 1188, 1173, 2266, 18303, 6574, 1445, 1167, 1173, 2021, 116, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 132, 126, 129, 1313, 1170, 488, 124, 127, 176, 28077, 1125, 6721, 1299, 1189, 11979, 2038, 24610, 106, 106, 141, 11741, 488, 106, 3463, 1299, 11979, 2038, 5843, 1835, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 158, 1104, 21849, 1306, 1707, 1167, 10935, 1508, 2445, 11979, 4195, 15561, 121, 106, 106, 155, 26361, 488, 106, 488, 124, 132, 123, 126, 106, 488, 128, 176, 1227, 6745, 1125, 2315, 106, 488, 124, 132, 123, 127, 106, 488, 129, 176, 1227, 1198, 184, 181, 189, 1125, 2315, 106, 488, 124, 132, 123, 130, 106, 488, 126, 176, 1227, 6745, 1125, 2315, 106, 106, 157, 1234, 18036, 1300, 1170, 6745, 1125, 2315, 488, 106, 488, 124, 132, 123, 126, 1257, 488, 128, 176, 1227, 1936, 4080, 4610, 106, 488, 124, 132, 123, 127, 1257, 11051, 1105, 1175, 129, 176, 13703, 116, 1167, 15953, 19495, 1125, 1158, 488, 125, 176, 1754, 19863, 3075, 189, 3672, 488, 124, 2574, 106, 488, 124, 132, 123, 129, 1257, 11051, 1105, 1175, 128, 176, 13703, 116, 488, 488, 106, 488, 124, 132, 123, 130, 1257, 488, 126, 176, 1227, 1936, 1160, 4610, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 1157, 1157, 11979, 1267, 32001, 488, 106, 32000, 20036, 106, 22448, 7323, 3032, 11397, 1987, 119, 5252, 1170, 488, 125, 123, 2921, 488, 124, 131, 131, 123, 1188, 5308, 2266, 1120, 6574, 1445, 8687, 10720, 25802, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 132, 126, 129, 1313, 1170, 488, 124, 127, 176, 28077, 1125, 6721, 1299, 1189, 11979, 2038, 24610, 106, 106, 141, 11741, 488, 106, 5164, 1299, 11979, 2038, 5843, 1835, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 158, 1104, 21849, 1350, 1707, 1167, 10935, 1508, 2445, 11979, 4195, 5843, 1297, 106, 106, 155, 26361, 488, 106, 488, 124, 132, 123, 126, 106, 488, 128, 176, 1227, 6745, 1125, 2315, 106, 488, 124, 132, 123, 127, 106, 488, 129, 176, 1227, 6745, 1125, 2315, 106, 488, 124, 132, 123, 130, 106, 488, 126, 176, 1227, 6745, 1125, 2315, 106, 106, 157, 1234, 18036, 1300, 1170, 6745, 1125, 2315, 488, 106, 488, 124, 132, 123, 126, 1257, 488, 128, 176, 1227, 14408, 4610, 106, 488, 124, 132, 123, 127, 1257, 11051, 1105, 1175, 129, 176, 13703, 116, 1167, 15953, 19495, 1125, 1158, 488, 125, 176, 1754, 19863, 10321, 3672, 488, 124, 2574, 106, 488, 124, 132, 123, 129, 1257, 11051, 1105, 1175, 128, 176, 13703, 116, 488, 488, 106, 488, 124, 132, 123, 130, 1257, 488, 126, 176, 1227, 14408, 4610, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 7192, 1136, 11979, 2038, 2720, 106, 161, 1262, 19495, 26242, 2852, 1227, 6745, 1125, 2315, 106, 153, 3400, 1186, 2921, 488, 124, 131, 131, 123, 106, 153, 3400, 1186, 1200, 1445, 8687, 10720, 1107, 106, 31133, 1467, 1186, 2749, 488, 124, 132, 126, 129, 106, 31133, 1467, 1188, 488, 128, 128, 2165, 106, 31133, 1467, 1313, 1170, 488, 124, 127, 176, 28077, 1125, 2801, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 22448, 7323, 3032, 11397, 1987, 119, 5252, 1170, 488, 125, 123, 2921, 488, 124, 131, 131, 123, 1188, 5308, 2266, 1120, 6574, 1445, 8687, 10720, 25802, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 132, 126, 129, 1313, 1170, 488, 124, 127, 176, 28077, 1125, 6721, 1299, 1189, 11979, 2038, 24610, 106, 106, 141, 11741, 488, 106, 5164, 1299, 11979, 2038, 5843, 1835, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 158, 1104, 21849, 1350, 1707, 1167, 10935, 1508, 2445, 11979, 4195, 5843, 1297, 106, 106, 155, 26361, 488, 106, 488, 124, 132, 123, 126, 106, 488, 128, 176, 1227, 6745, 1125, 2315, 106, 488, 124, 132, 123, 127, 106, 488, 129, 176, 1227, 6745, 1125, 2315, 106, 488, 124, 132, 123, 130, 106, 488, 126, 176, 1227, 6745, 1125, 2315, 106, 106, 157, 1234, 18036, 1300, 1170, 6745, 1125, 2315, 488, 106, 488, 124, 132, 123, 126, 1257, 488, 128, 176, 1227, 14408, 4610, 106, 488, 124, 132, 123, 127, 1257, 11051, 1105, 1175, 129, 176, 13703, 116, 1167, 15953, 19495, 1125, 1158, 488, 125, 176, 1754, 19863, 10321, 3672, 488, 124, 2574, 106, 488, 124, 132, 123, 129, 1257, 11051, 1105, 1175, 128, 176, 13703, 116, 488, 488, 106, 488, 124, 132, 123, 130, 1257, 488, 126, 176, 1227, 14408, 4610, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 7192, 1136, 11979, 2038, 2720, 106, 161, 1262, 19495, 26242, 2852, 1227, 6745, 1125, 2315, 106, 153, 3400, 1186, 2921, 488, 124, 131, 131, 123, 106, 153, 3400, 1186, 1200, 1445, 8687, 10720, 1107, 106, 31133, 1467, 1186, 2749, 488, 124, 132, 126, 129, 106, 31133, 1467, 1188, 488, 128, 128, 2165, 106, 31133, 1467, 1313, 1170, 488, 124, 127, 176, 28077, 1125, 2801, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 162, 1132, 1213, 1233, 1652, 184, 4604, 4419, 1303, 1170, 488, 126, 124, 1225, 1203, 7203, 488, 124, 132, 127, 131, 1188, 4390, 9345, 23881, 1186, 9810, 1538, 7778, 3486, 1132, 8351, 1128, 1167, 4541, 1170, 488, 124, 127, 2822, 488, 125, 123, 124, 127, 1188, 1165, 16442, 116, 1299, 1189, 3014, 13619, 12354, 29069, 1167, 19166, 1125, 9452, 10816, 121, 1768, 1110, 3747, 8922, 1170, 3418, 20533, 8642, 1456, 191, 20533, 1186, 488, 124, 132, 130, 130, 1167, 1110, 27216, 1189, 1233, 2506, 1104, 4137, 2402, 1112, 1120, 1186, 488, 124, 132, 131, 124, 1256, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 121, 106, 106, 145, 6417, 4134, 106, 106, 2700, 1232, 12354, 29069, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 25081, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 19166, 106, 124, 132, 130, 127, 1257, 1248, 6210, 6883, 1108, 1189, 1213, 17895, 1727, 1120, 2021, 1173, 1767, 1257, 1233, 1567, 24227, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 1257, 13784, 7821, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 131, 1257, 2576, 2439, 11980, 1197, 5582, 2075, 1115, 4519, 1257, 2499, 1140, 6118, 6299, 172, 106, 124, 132, 130, 132, 1257, 14214, 1185, 11769, 25403, 1325, 2194, 11164, 6883, 3615, 2974, 5355, 116, 1257, 1110, 1287, 2683, 2038, 28108, 1175, 1955, 6362, 2397, 1886, 3077, 1518, 20684, 1140, 116, 106, 124, 132, 130, 132, 1257, 14214, 1222, 5583, 13976, 3331, 1257, 11341, 1287, 2683, 2038, 106, 124, 132, 131, 127, 1257, 2855, 2506, 177, 1126, 23627, 3471, 9604, 2010, 1630, 3277, 116, 1257, 1170, 3358, 2021, 106, 124, 132, 131, 127, 1257, 3739, 1306, 6290, 1140, 20443, 6823, 1306, 257, 2340, 7974, 1257, 13784, 7821, 106, 124, 132, 131, 131, 1257, 1643, 5921, 1317, 13741, 1157, 106, 106, 10853, 106, 106, 8044, 1790, 1793, 10816, 106, 4968, 1538, 29069, 10816, 1125, 9452, 106, 153, 3400, 1186, 1225, 1203, 7203, 488, 124, 132, 127, 131, 106, 153, 3400, 1188, 1202, 3465, 1141, 1462, 106, 31133, 1467, 1186, 2822, 488, 125, 123, 124, 127, 106, 31133, 1467, 1188, 1165, 16442, 106, 31133, 1467, 1188, 488, 129, 129, 2165, 106, 152, 1249, 2335, 10346, 1227, 8613, 6045, 106, 152, 1249, 2335, 10346, 1186, 17490, 32001, 488, 106, 32000, 20036, 106, 162, 1132, 1213, 1233, 1652, 184, 4604, 24051, 1170, 488, 126, 124, 2921, 488, 124, 132, 127, 131, 1188, 4390, 9345, 23881, 1186, 9810, 1538, 7778, 3486, 1132, 8351, 1128, 1167, 4541, 1170, 488, 124, 127, 2822, 488, 125, 123, 124, 127, 1188, 1165, 16442, 116, 1299, 1189, 3014, 13619, 12354, 29069, 1167, 19166, 1125, 9452, 10816, 121, 1768, 1110, 3747, 8922, 1170, 3418, 20533, 8642, 1456, 191, 20533, 1186, 488, 124, 132, 130, 130, 1167, 1110, 27216, 1189, 1233, 2506, 1104, 4137, 2402, 1112, 1120, 1186, 488, 124, 132, 131, 124, 1256, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 121, 106, 106, 145, 6417, 4134, 106, 106, 2700, 1232, 12354, 29069, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 25081, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 19166, 106, 124, 132, 130, 127, 1257, 1248, 6210, 6883, 1108, 1189, 1213, 17895, 1727, 1120, 2021, 1173, 1767, 1257, 1233, 1567, 24227, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 1257, 13784, 7821, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 131, 1257, 2576, 2439, 11980, 1197, 5582, 2075, 1115, 4519, 1257, 2499, 1140, 6118, 6299, 172, 106, 124, 132, 130, 132, 1257, 14214, 1185, 11769, 25403, 1325, 2194, 11164, 6883, 3615, 2974, 5355, 116, 1257, 1110, 1287, 2683, 2038, 28108, 1175, 1955, 6362, 2397, 1886, 3077, 1518, 20684, 1140, 116, 106, 124, 132, 130, 132, 1257, 14214, 1222, 5583, 13976, 3331, 1257, 11341, 1287, 2683, 2038, 106, 124, 132, 131, 127, 1257, 2855, 2506, 177, 1126, 23627, 3471, 9604, 2010, 1630, 3277, 116, 1257, 1170, 3358, 2021, 106, 124, 132, 131, 127, 1257, 3739, 1306, 6290, 1140, 20443, 6823, 1306, 257, 2340, 7974, 1257, 13784, 7821, 106, 124, 132, 131, 131, 1257, 1643, 5921, 1317, 13741, 1157, 106, 106, 10853, 106, 106, 8044, 1790, 1793, 10816, 106, 4968, 1538, 29069, 10816, 1125, 9452, 106, 153, 3400, 1186, 2921, 488, 124, 132, 127, 131, 106, 153, 3400, 1188, 1202, 3465, 1141, 1462, 106, 31133, 1467, 1186, 2822, 488, 125, 123, 124, 127, 106, 31133, 1467, 1188, 1165, 16442, 106, 31133, 1467, 1188, 488, 129, 129, 2165, 106, 152, 1249, 2335, 10346, 1227, 8613, 6045, 106, 152, 1249, 2335, 10346, 1186, 17490, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 1132, 1213, 1233, 1652, 184, 4604, 24051, 1170, 488, 126, 124, 2921, 488, 124, 132, 127, 131, 1188, 4390, 9345, 23881, 1186, 9810, 1538, 7778, 3486, 1132, 8351, 1128, 1167, 4541, 1170, 488, 124, 127, 2822, 488, 125, 123, 124, 127, 1188, 1165, 16442, 116, 1299, 1189, 3014, 13619, 12354, 29069, 1167, 19166, 1125, 9452, 10816, 121, 1768, 1110, 3747, 8922, 1170, 3418, 20533, 8642, 1456, 191, 20533, 1186, 488, 124, 132, 130, 130, 1167, 1110, 27216, 1189, 1233, 2506, 1104, 4137, 2402, 1112, 1120, 1186, 488, 124, 132, 131, 124, 1256, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 121, 106, 106, 145, 6417, 4134, 106, 106, 2700, 1232, 12354, 29069, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 25081, 106, 124, 132, 130, 125, 1257, 27761, 1108, 106, 124, 132, 130, 126, 1257, 1293, 1120, 4460, 1325, 5688, 1712, 106, 124, 132, 130, 127, 1257, 1643, 3859, 6221, 1514, 106, 124, 132, 130, 127, 1257, 31599, 5206, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 130, 1257, 20533, 8642, 1456, 191, 20533, 6713, 28566, 106, 124, 132, 130, 131, 1257, 3758, 6381, 3706, 6767, 7641, 106, 124, 132, 130, 132, 1257, 10676, 6713, 28566, 106, 124, 132, 131, 124, 1257, 1200, 12002, 2064, 4140, 1115, 1678, 1997, 178, 2207, 1255, 4861, 262, 1784, 1175, 1217, 17005, 116, 106, 124, 132, 131, 126, 1257, 488, 106, 124, 132, 131, 131, 1257, 1643, 1252, 1415, 1317, 13741, 1157, 106, 106, 2700, 1232, 19166, 106, 124, 132, 130, 127, 1257, 1248, 6210, 6883, 1108, 1189, 1213, 17895, 1727, 1120, 2021, 1173, 1767, 1257, 1233, 1567, 24227, 106, 124, 132, 130, 128, 1257, 5308, 197, 1243, 1475, 8072, 2307, 262, 22439, 1257, 13784, 7821, 106, 124, 132, 130, 129, 1257, 5308, 197, 1243, 1475, 1896, 30850, 1112, 180, 106, 124, 132, 130, 131, 1257, 2576, 2439, 11980, 1197, 5582, 2075, 1115, 4519, 1257, 2499, 1140, 6118, 6299, 172, 106, 124, 132, 130, 132, 1257, 14214, 1185, 11769, 25403, 1325, 2194, 11164, 6883, 3615, 2974, 5355, 116, 1257, 1110, 1287, 2683, 2038, 28108, 1175, 1955, 6362, 2397, 1886, 3077, 1518, 20684, 1140, 116, 106, 124, 132, 130, 132, 1257, 14214, 1222, 5583, 13976, 3331, 1257, 11341, 1287, 2683, 2038, 106, 124, 132, 131, 127, 1257, 2855, 2506, 177, 1126, 23627, 3471, 9604, 2010, 1630, 3277, 116, 1257, 1170, 3358, 2021, 106, 124, 132, 131, 127, 1257, 3739, 1306, 6290, 1140, 20443, 6823, 1306, 257, 2340, 7974, 1257, 13784, 7821, 106, 124, 132, 131, 131, 1257, 1643, 5921, 1317, 13741, 1157, 106, 106, 10853, 106, 106, 8044, 1790, 1793, 10816, 106, 4968, 1538, 29069, 10816, 1125, 9452, 106, 153, 3400, 1186, 2921, 488, 124, 132, 127, 131, 106, 153, 3400, 1188, 1202, 3465, 1141, 1462, 106, 31133, 1467, 1186, 2822, 488, 125, 123, 124, 127, 106, 31133, 1467, 1188, 1165, 16442, 106, 31133, 1467, 1188, 488, 129, 129, 2165, 106, 152, 1249, 2335, 10346, 1227, 8613, 6045, 106, 152, 1249, 2335, 10346, 1186, 17490, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2029, 1264, 20911, 4793, 12026, 1299, 1189, 6437, 1304, 12872, 10880, 1317, 1594, 1357, 10554, 1189, 6896, 1166, 10657, 14011, 1538, 1797, 1692, 1318, 7051, 24156, 1231, 1255, 4528, 116, 1256, 2435, 13189, 1125, 5028, 2321, 1285, 3034, 15550, 1189, 11314, 10011, 1140, 1362, 1189, 5662, 5284, 2181, 106, 106, 160, 1117, 8948, 1162, 106, 106, 141, 1354, 11154, 5209, 1125, 5087, 22502, 1104, 1167, 2123, 1322, 9395, 1207, 1264, 20911, 25810, 12026, 1281, 14014, 3521, 1888, 11129, 1186, 2069, 13505, 1257, 106, 2576, 3478, 3174, 1357, 1186, 2321, 2335, 3151, 7803, 28713, 2513, 1189, 7803, 6033, 244, 2040, 106, 2576, 1554, 26470, 10011, 3561, 1357, 2175, 1450, 1197, 23928, 1188, 3862, 1125, 4021, 1346, 1215, 4070, 1186, 1204, 2273, 9808, 106, 2606, 2511, 18643, 1197, 1264, 20911, 25810, 1299, 1158, 7293, 26242, 1987, 1207, 15838, 1125, 1594, 6896, 1166, 10657, 7407, 1186, 1501, 181, 1261, 1199, 1197, 1264, 20911, 4793, 1297, 1459, 6028, 2121, 1189, 2076, 1264, 20911, 4793, 5487, 1823, 10502, 1313, 5542, 18386, 1166, 2634, 1346, 1256, 27415, 8989, 4491, 1129, 3702, 1197, 14220, 2028, 1457, 106, 106, 142, 22855, 1264, 20911, 25810, 12026, 1508, 23775, 190, 1186, 2658, 1125, 4646, 1167, 1186, 8195, 2341, 2189, 27767, 21262, 1125, 4534, 7556, 3932, 1207, 4131, 1346, 1527, 1299, 7008, 2638, 1125, 1207, 17602, 1620, 2104, 1300, 5610, 10561, 12006, 1186, 5566, 1856, 3557, 1170, 2015, 1469, 1170, 1352, 2723, 5286, 9354, 119, 1362, 2830, 20632, 1300, 1227, 9371, 9637, 2357, 1856, 1300, 1207, 17087, 1951, 154, 3209, 1285, 12199, 3394, 1757, 1362, 1405, 3269, 120, 124, 1215, 4070, 121, 106, 106, 148, 4294, 7039, 2445, 25314, 1197, 12046, 10011, 1717, 16185, 1216, 3375, 3495, 1199, 1186, 9261, 121, 6053, 11721, 1125, 7205, 4868, 10011, 3250, 1197, 23928, 16185, 1216, 3375, 1408, 1362, 2864, 27220, 2130, 1158, 2320, 8989, 17491, 1317, 4561, 9261, 121, 106, 106, 153, 1351, 1104, 106, 106, 5164, 2551, 18884, 1382, 1125, 6285, 13288, 3188, 14169, 1256, 1207, 13009, 1554, 5284, 2086, 1207, 18386, 1166, 22970, 19888, 4701, 1186, 2320, 1964, 5865, 20208, 121, 1548, 4561, 1233, 2723, 1299, 7008, 18714, 1856, 1189, 6285, 1227, 1844, 3365, 1299, 1185, 5364, 1215, 1125, 5087, 1166, 22970, 2290, 5542, 10297, 5147, 8138, 2392, 106, 106, 158, 1258, 2396, 1473, 9145, 3458, 120, 4519, 1197, 14220, 1207, 1408, 28279, 1813, 1257, 106, 1192, 12173, 6396, 193, 1176, 25838, 1184, 163, 191, 2846, 116, 15519, 1215, 3942, 1176, 488, 106, 1352, 2723, 9116, 11382, 15804, 14904, 116, 15519, 1215, 4357, 1109, 6647, 488, 106, 488, 25920, 4958, 6396, 12750, 1814, 1953, 116, 20031, 1300, 12211, 18139, 29344, 1256, 1207, 18386, 12026, 1304, 3652, 1126, 15519, 1215, 4633, 1193, 1146, 106, 1200, 3269, 6948, 140, 2648, 1200, 161, 125, 6574, 26954, 25838, 9286, 9850, 19245, 2358, 6222, 7374, 116, 106, 2358, 1839, 1147, 19225, 2235, 1175, 20327, 8772, 25838, 20654, 116, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1170, 1223, 31547, 8677, 116, 106, 2358, 1839, 1147, 1198, 20079, 1175, 4011, 10041, 14322, 11618, 29128, 9612, 1188, 1951, 154, 12619, 1167, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1207, 1223, 15493, 1392, 1197, 10982, 12026, 15561, 15433, 18139, 7486, 1167, 15433, 1834, 1140, 7486, 1125, 10571, 3016, 1442, 116, 106, 2358, 1839, 1147, 1352, 158, 126, 4698, 2683, 1149, 28369, 12199, 3394, 1757, 116, 106, 2358, 1839, 1147, 17619, 1916, 106, 3956, 20911, 1147, 1204, 2235, 4698, 1190, 192, 25838, 2935, 116, 9612, 1256, 1170, 20504, 1419, 1136, 14029, 4873, 15326, 15519, 1215, 3341, 154, 8988, 121, 160, 4698, 2565, 7223, 1410, 1814, 1146, 2589, 116, 106, 3956, 20911, 1147, 7783, 6396, 12750, 20654, 116, 15519, 1215, 10571, 3016, 1442, 106, 3956, 20911, 1147, 1222, 163, 180, 9612, 1317, 20504, 1419, 1136, 6218, 1124, 106, 106, 26953, 1430, 106, 106, 3562, 11419, 20716, 1215, 3598, 1571, 18386, 1606, 1667, 18494, 1524, 1281, 4331, 1129, 1317, 4041, 1125, 13488, 2535, 1835, 4428, 10657, 1167, 1170, 13009, 2982, 21734, 1188, 1440, 1357, 1299, 11193, 1215, 1158, 20208, 121, 1867, 6698, 5753, 4601, 1125, 6746, 1125, 2498, 1299, 2445, 2784, 9857, 1215, 1170, 5719, 1644, 4010, 1125, 1282, 17792, 1186, 13009, 1554, 1257, 1189, 4501, 1354, 1362, 18123, 5427, 1227, 1594, 14722, 2519, 7051, 1125, 2498, 1188, 14974, 9375, 11726, 1309, 2081, 5125, 1527, 9924, 1227, 6896, 1166, 10657, 5789, 4353, 1723, 2445, 1309, 2183, 1207, 13009, 1554, 3365, 5332, 1508, 2595, 1297, 4060, 21608, 1299, 29417, 1303, 1215, 3871, 1267, 4377, 1256, 1189, 2076, 1264, 20911, 120, 2982, 1125, 12046, 1147, 23697, 3606, 1835, 5138, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 21158, 17320, 1257, 20208, 16185, 26470, 10011, 1140, 2130, 1823, 1189, 1264, 20911, 120, 4537, 106, 106, 1428, 12544, 24885, 114, 32001, 488, 106, 32000, 20036, 106, 2029, 13009, 4793, 12026, 1299, 1189, 6437, 1304, 12872, 10880, 1317, 1594, 1357, 10554, 1189, 6896, 1166, 10657, 14011, 1538, 1797, 1692, 1318, 7051, 24156, 1231, 1255, 4528, 116, 1256, 2435, 13189, 1125, 5028, 8490, 119, 3034, 15550, 1189, 11314, 10011, 1140, 1362, 1189, 5662, 5284, 2181, 106, 106, 26630, 106, 106, 141, 1354, 11154, 5209, 1125, 5087, 22502, 1104, 1167, 2123, 1322, 9395, 1207, 13009, 25810, 12026, 1281, 14014, 3521, 1888, 11129, 1186, 2069, 13505, 1257, 106, 2576, 3478, 3174, 1357, 1186, 2321, 2335, 3151, 7803, 28713, 2513, 1189, 7803, 6033, 244, 2040, 106, 2576, 1554, 26470, 10011, 3561, 1357, 2175, 1450, 1197, 23928, 1188, 3862, 1125, 4021, 1346, 1215, 4070, 1186, 1204, 2273, 9808, 106, 2606, 2511, 18643, 1197, 13009, 25810, 1299, 1158, 7293, 26242, 1987, 1207, 15838, 1125, 1594, 6896, 1166, 10657, 7407, 1186, 1501, 181, 1261, 1199, 1197, 13009, 4793, 1297, 1459, 6028, 2121, 1189, 2076, 13009, 4793, 5487, 1823, 10502, 1313, 5542, 18386, 1166, 2634, 1346, 1256, 27415, 8989, 4491, 1129, 3702, 1197, 14220, 2028, 1457, 106, 106, 142, 22855, 13009, 25810, 12026, 1508, 23775, 190, 1186, 2658, 1125, 4646, 1167, 1186, 8195, 2341, 2189, 27767, 21262, 1125, 4534, 7556, 3932, 1207, 4131, 1346, 1527, 1299, 7008, 2638, 1125, 1207, 17602, 1620, 2104, 1300, 5610, 10561, 12006, 1186, 5566, 1856, 3557, 1170, 2015, 1469, 1170, 1352, 2723, 5286, 9354, 119, 1362, 2830, 20632, 1300, 1227, 9371, 9637, 2357, 1856, 1300, 1207, 17087, 1951, 13550, 1285, 12199, 3394, 1757, 1362, 1405, 3269, 120, 124, 1215, 4070, 121, 106, 106, 148, 4294, 7039, 2445, 25314, 1197, 12046, 10011, 1717, 16185, 1216, 3375, 3495, 1199, 1186, 9261, 121, 6053, 11721, 1125, 7205, 4868, 10011, 3250, 1197, 23928, 16185, 1216, 3375, 1408, 1362, 2864, 27220, 2130, 1158, 2320, 8989, 17491, 1317, 4561, 9261, 121, 106, 106, 153, 1351, 1104, 106, 106, 5164, 2551, 18884, 1382, 1125, 6285, 13288, 3188, 14169, 1256, 1207, 13009, 1554, 5284, 2086, 1207, 18386, 1166, 22970, 19888, 4701, 1186, 2320, 1964, 5865, 20208, 121, 1548, 4561, 1352, 2723, 1299, 7008, 18714, 1856, 1189, 6285, 1227, 1844, 3365, 1299, 1185, 5364, 1215, 1125, 5087, 1166, 22970, 2290, 5542, 10297, 5147, 8138, 2392, 106, 106, 158, 1258, 2396, 1473, 9145, 3458, 120, 4519, 1197, 14220, 1207, 1408, 28279, 1813, 1257, 106, 1192, 12173, 6396, 193, 1176, 25838, 1184, 163, 191, 2846, 116, 15519, 1215, 3942, 1176, 488, 106, 1352, 2723, 9116, 11382, 15804, 14904, 116, 15519, 1215, 4357, 1109, 6647, 488, 106, 6961, 6396, 12750, 1814, 1953, 116, 20031, 1300, 12211, 18139, 29344, 1256, 1207, 18386, 12026, 1304, 3652, 1126, 15519, 1215, 4633, 1193, 1146, 106, 1200, 3269, 6948, 140, 2648, 1200, 161, 125, 6574, 26954, 25838, 9286, 9850, 19245, 2358, 6222, 7374, 116, 106, 2358, 1839, 1147, 19225, 2235, 1175, 20327, 8772, 25838, 20654, 116, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1170, 1223, 31547, 8677, 116, 106, 2358, 1839, 1147, 1198, 20079, 1175, 4011, 10041, 14322, 11618, 29128, 9612, 1188, 1951, 13550, 190, 1167, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1207, 1223, 15493, 1392, 1197, 10982, 12026, 15561, 15433, 18139, 7486, 1167, 15433, 1834, 1140, 7486, 1125, 10571, 3016, 1442, 116, 106, 2358, 1839, 1147, 1352, 158, 126, 4698, 2683, 1149, 28369, 12199, 3394, 1757, 116, 106, 2358, 1839, 1147, 17619, 1916, 106, 3956, 1839, 1147, 1204, 2235, 4698, 1190, 192, 25838, 2935, 116, 9612, 1256, 1170, 20504, 1419, 1136, 14029, 4873, 15326, 15519, 1215, 3341, 154, 8988, 121, 160, 4698, 2565, 7223, 1410, 1814, 1146, 2589, 116, 106, 3956, 1839, 1147, 7783, 6396, 12750, 20654, 116, 15519, 1215, 10571, 3016, 1442, 106, 3956, 1839, 1147, 1222, 163, 180, 9612, 1317, 20504, 1419, 1136, 6218, 1124, 106, 106, 26953, 1430, 106, 106, 3562, 11419, 20716, 1215, 3598, 1571, 18386, 1606, 1667, 18494, 1524, 1281, 4331, 1129, 1317, 4041, 1125, 13488, 2535, 1835, 4428, 10657, 1167, 1170, 13009, 2982, 21734, 1188, 1440, 1357, 1299, 11193, 1215, 1158, 20208, 121, 1867, 6698, 5753, 4601, 1125, 6746, 1125, 2498, 1299, 2445, 2784, 9857, 1215, 1170, 5719, 1644, 4010, 1125, 1282, 17792, 1186, 13009, 25810, 1257, 1189, 4501, 1354, 1362, 18123, 5427, 1227, 1594, 14722, 2519, 7051, 1125, 2498, 1188, 14974, 9375, 11726, 1309, 2081, 5125, 1527, 9924, 1227, 6896, 1166, 10657, 5789, 4353, 1723, 2445, 1309, 2183, 1207, 13009, 25810, 3365, 5332, 1508, 2595, 1297, 4060, 21608, 1299, 29417, 1303, 1215, 3871, 1267, 4377, 1256, 1189, 2076, 13009, 120, 2982, 1125, 12046, 1147, 23697, 3606, 1835, 5138, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 21158, 17320, 1257, 20208, 16185, 26470, 10011, 1140, 2130, 1823, 1189, 13009, 4537, 106, 106, 1428, 12544, 24885, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2029, 13009, 4793, 12026, 1299, 1189, 6437, 1304, 12872, 10880, 1317, 1594, 1357, 10554, 1189, 6896, 1166, 10657, 14011, 1538, 1797, 1692, 1318, 7051, 24156, 1231, 1255, 4528, 116, 1256, 2435, 13189, 1125, 5028, 8490, 119, 3034, 15550, 1189, 11314, 10011, 1140, 1362, 1189, 5662, 5284, 2181, 106, 106, 26630, 106, 106, 141, 1354, 11154, 5209, 1125, 5087, 22502, 1104, 1167, 2123, 1322, 9395, 1207, 13009, 25810, 12026, 1281, 14014, 3521, 1888, 11129, 1186, 2069, 13505, 1257, 106, 2576, 3478, 3174, 1357, 1186, 2321, 2335, 3151, 7803, 28713, 2513, 1189, 7803, 6033, 244, 2040, 106, 2576, 1554, 26470, 10011, 3561, 1357, 2175, 1450, 1197, 23928, 1188, 3862, 1125, 4021, 1346, 1215, 4070, 1186, 1204, 2273, 9808, 106, 2606, 2511, 18643, 1197, 13009, 25810, 1299, 1158, 7293, 26242, 1987, 1207, 15838, 1125, 1594, 6896, 1166, 10657, 7407, 1186, 1501, 181, 1261, 1199, 1197, 13009, 4793, 1297, 1459, 6028, 2121, 1189, 2076, 13009, 4793, 5487, 1823, 10502, 1313, 5542, 18386, 1166, 2634, 1346, 1256, 27415, 8989, 4491, 1129, 3702, 1197, 14220, 2028, 1457, 106, 106, 142, 22855, 13009, 25810, 12026, 1508, 23775, 190, 1186, 2658, 1125, 4646, 1167, 1186, 8195, 2341, 2189, 27767, 21262, 1125, 4534, 7556, 3932, 1207, 4131, 1346, 1527, 1299, 7008, 2638, 1125, 1207, 17602, 1620, 2104, 1300, 5610, 10561, 12006, 1186, 5566, 1856, 3557, 1170, 2015, 1469, 1170, 1352, 2723, 5286, 9354, 119, 1362, 2830, 20632, 1300, 1227, 9371, 9637, 2357, 1856, 1300, 1207, 17087, 1951, 13550, 1285, 12199, 3394, 1757, 1362, 1405, 3269, 120, 124, 1215, 4070, 121, 106, 106, 148, 4294, 7039, 2445, 25314, 1197, 12046, 10011, 1717, 16185, 1216, 3375, 3495, 1199, 1186, 9261, 121, 6053, 11721, 1125, 7205, 4868, 10011, 3250, 1197, 23928, 16185, 1216, 3375, 1408, 1362, 2864, 27220, 2130, 1158, 2320, 8989, 17491, 1317, 4561, 9261, 121, 106, 106, 153, 1351, 1104, 106, 106, 5164, 2551, 18884, 1382, 1125, 6285, 13288, 3188, 14169, 1256, 1207, 13009, 1554, 5284, 2086, 1207, 18386, 1166, 22970, 19888, 4701, 1186, 2320, 1964, 5865, 20208, 121, 1548, 4561, 1352, 2723, 1299, 7008, 18714, 1856, 1189, 6285, 1227, 1844, 3365, 1299, 1185, 5364, 1215, 1125, 5087, 1166, 22970, 2290, 5542, 10297, 5147, 8138, 2392, 106, 106, 158, 1258, 2396, 1473, 9145, 3458, 120, 4519, 1197, 14220, 1207, 1408, 28279, 1813, 1257, 106, 1192, 12173, 6396, 193, 1176, 25838, 1184, 163, 191, 2846, 116, 15519, 1215, 3942, 1176, 488, 106, 1352, 2723, 9116, 11382, 15804, 14904, 116, 15519, 1215, 4357, 1109, 6647, 488, 106, 6961, 6396, 12750, 1814, 1953, 116, 20031, 1300, 12211, 18139, 29344, 1256, 1207, 18386, 12026, 1304, 3652, 1126, 15519, 1215, 4633, 1193, 1146, 106, 1200, 3269, 6948, 140, 2648, 1200, 161, 125, 6574, 26954, 25838, 9286, 9850, 19245, 2358, 6222, 7374, 116, 106, 2358, 1839, 1147, 19225, 2235, 1175, 20327, 8772, 25838, 20654, 116, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1170, 1223, 31547, 8677, 116, 106, 2358, 1839, 1147, 1198, 20079, 1175, 4011, 10041, 14322, 11618, 29128, 9612, 1188, 1951, 13550, 190, 1167, 15519, 1215, 10571, 3016, 1442, 3471, 14932, 190, 27139, 1215, 1207, 1223, 15493, 1392, 1197, 10982, 12026, 15561, 15433, 18139, 7486, 1167, 15433, 1834, 1140, 7486, 1125, 10571, 3016, 1442, 116, 106, 2358, 1839, 1147, 1352, 158, 126, 4698, 2683, 1149, 28369, 12199, 3394, 1757, 116, 106, 2358, 1839, 1147, 17619, 1916, 106, 3956, 1839, 1147, 1204, 2235, 4698, 1190, 192, 25838, 2935, 116, 9612, 1256, 1170, 20504, 1419, 1136, 14029, 4873, 15326, 15519, 1215, 3341, 154, 8988, 121, 160, 4698, 2565, 7223, 1410, 1814, 1146, 2589, 116, 106, 3956, 1839, 1147, 7783, 6396, 12750, 20654, 116, 15519, 1215, 10571, 3016, 1442, 106, 3956, 1839, 1147, 1222, 163, 180, 9612, 1317, 20504, 1419, 1136, 6218, 1124, 106, 106, 26953, 1430, 106, 106, 3562, 11419, 20716, 1215, 3598, 1571, 18386, 1606, 1667, 18494, 1524, 1281, 4331, 1129, 1317, 4041, 1125, 13488, 2535, 1835, 4428, 10657, 1167, 1170, 13009, 2982, 21734, 1188, 1440, 1357, 1299, 11193, 1215, 1158, 20208, 121, 1867, 6698, 5753, 4601, 1125, 6746, 1125, 2498, 1299, 2445, 2784, 9857, 1215, 1170, 5719, 1644, 4010, 1125, 1282, 17792, 1186, 13009, 25810, 1257, 1189, 4501, 1354, 1362, 18123, 5427, 1227, 1594, 14722, 2519, 7051, 1125, 2498, 1188, 14974, 9375, 11726, 1309, 2081, 5125, 1527, 9924, 1227, 6896, 1166, 10657, 5789, 4353, 1723, 2445, 1309, 2183, 1207, 13009, 25810, 3365, 5332, 1508, 2595, 1297, 4060, 21608, 1299, 29417, 1303, 1215, 3871, 1267, 4377, 1256, 1189, 2076, 13009, 120, 2982, 1125, 12046, 1147, 23697, 3606, 1835, 5138, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 21158, 17320, 1257, 20208, 16185, 26470, 10011, 1140, 2130, 1823, 1189, 13009, 4537, 106, 106, 1428, 12544, 24885, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 1189, 11777, 1330, 1320, 1806, 15519, 1215, 1165, 1435, 119, 9665, 1186, 488, 124, 132, 132, 131, 1300, 1138, 13193, 1304, 4691, 29476, 106, 106, 4968, 1538, 5844, 488, 106, 1686, 488, 125, 123, 124, 131, 119, 3203, 31050, 1571, 17296, 3993, 2059, 6301, 25006, 1175, 1592, 155, 6058, 10721, 2548, 20028, 6348, 1649, 1154, 1173, 1462, 1696, 4873, 2092, 116, 5524, 9524, 1373, 1318, 31895, 1357, 9342, 14823, 16275, 196, 2181, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 5047, 1281, 5136, 1188, 13324, 1125, 488, 126, 30603, 1257, 106, 1814, 10482, 1192, 1256, 19775, 1357, 1915, 2072, 6292, 1125, 20248, 15910, 1170, 14514, 12380, 1299, 20349, 28802, 244, 3143, 1304, 25725, 1158, 17920, 1197, 2063, 1134, 4111, 1167, 1158, 10979, 1125, 21859, 2558, 121, 106, 1814, 10482, 1233, 1256, 5393, 1170, 6912, 1366, 5690, 3725, 9083, 1125, 21847, 8286, 1364, 1357, 1186, 1408, 1125, 1561, 10979, 1125, 8008, 2856, 1304, 25725, 1170, 1694, 6677, 106, 1814, 4755, 10482, 2856, 25314, 1189, 3358, 174, 4618, 2889, 174, 1836, 1175, 6095, 1379, 3688, 2408, 116, 1357, 1809, 5434, 1207, 19398, 8185, 1186, 14927, 1167, 1357, 12425, 1125, 1138, 24120, 1318, 2768, 1158, 14072, 1826, 237, 1210, 3798, 106, 106, 216, 3862, 1227, 3013, 2585, 1170, 14514, 1299, 1317, 5146, 1125, 4185, 7710, 1285, 1197, 14927, 18401, 1188, 25491, 3851, 2532, 4364, 3559, 2768, 1170, 2510, 1125, 488, 125, 123, 123, 14927, 12669, 8665, 488, 126, 123, 123, 1995, 1158, 15756, 1197, 488, 125, 123, 123, 1110, 3839, 1913, 28371, 1496, 3342, 7039, 1125, 18043, 1158, 15756, 13190, 1227, 3358, 174, 1333, 1657, 106, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 13644, 1125, 7762, 17798, 1469, 2770, 24165, 22709, 1125, 1622, 121, 1643, 16730, 1227, 5047, 1299, 7513, 2806, 11976, 2205, 26659, 1188, 3862, 1227, 16934, 1290, 5533, 106, 106, 224, 15565, 1125, 4764, 488, 106, 15495, 1836, 1257, 13934, 1507, 180, 24212, 7497, 106, 7673, 193, 26595, 1257, 1306, 180, 4954, 27311, 31181, 18038, 1175, 5395, 13467, 116, 106, 21795, 5059, 1136, 1257, 23148, 1515, 7901, 1209, 182, 25639, 106, 20068, 1392, 1257, 18014, 1180, 8445, 1518, 2562, 196, 26029, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 21795, 24059, 1257, 13195, 6220, 1459, 15167, 106, 10226, 1201, 1257, 11818, 4816, 1325, 1569, 1219, 1242, 2215, 2433, 1671, 4849, 186, 1266, 1569, 1174, 10103, 106, 11166, 3195, 1201, 1257, 1248, 180, 1507, 1187, 1118, 1266, 2570, 1810, 3743, 2955, 180, 3991, 1136, 7497, 106, 15495, 1836, 1594, 1257, 13195, 6220, 1459, 15167, 106, 17608, 1594, 1257, 1306, 9249, 2393, 180, 1306, 5668, 2547, 180, 6713, 1963, 29279, 116, 106, 20357, 1257, 15260, 2194, 9249, 1518, 1153, 1145, 1387, 180, 6713, 1963, 29279, 116, 106, 12811, 2298, 1594, 4731, 1257, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 1352, 3420, 1197, 14115, 1257, 27899, 2504, 30415, 1193, 2547, 2433, 1671, 1141, 5173, 27311, 1306, 9249, 191, 1810, 1671, 4849, 186, 1266, 1569, 1174, 1136, 1810, 13195, 6220, 1459, 1118, 1965, 10073, 2461, 186, 1266, 1943, 1195, 1136, 1810, 25412, 2955, 180, 24212, 1174, 10103, 106, 25947, 4309, 1257, 1198, 1180, 8445, 17174, 9193, 1493, 17368, 106, 106, 158, 21501, 488, 106, 2524, 1250, 2905, 6578, 1125, 2262, 11777, 1330, 1320, 1806, 2004, 1913, 26645, 1257, 10665, 8908, 19691, 1167, 10665, 8908, 19691, 21979, 106, 106, 28870, 5825, 488, 106, 7649, 9229, 106, 106, 10853, 488, 106, 106, 4506, 2836, 1330, 1320, 1806, 106, 5522, 192, 6327, 9665, 1186, 488, 124, 132, 132, 131, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 132, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 1165, 1435, 488, 124, 1243, 5881, 1162, 106, 5522, 192, 3743, 13467, 106, 5522, 192, 6327, 15519, 1317, 14506, 106, 5522, 192, 6327, 1125, 7332, 30540, 121, 32001, 488, 106, 32000, 20036, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 1189, 11777, 1330, 1320, 1806, 15519, 1215, 1165, 1435, 23332, 1186, 488, 124, 132, 132, 131, 1300, 1138, 13193, 1304, 4691, 29476, 106, 106, 4968, 1538, 5844, 488, 106, 1686, 488, 125, 123, 124, 131, 119, 3203, 31050, 1571, 17296, 3993, 2059, 6301, 25006, 1175, 1592, 155, 6058, 10721, 2548, 20028, 6348, 1649, 1154, 1173, 1462, 1696, 4873, 2092, 116, 5524, 9524, 1373, 1318, 31895, 1357, 9342, 14823, 16275, 196, 2181, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 5047, 1281, 5136, 1188, 13324, 1125, 488, 126, 30603, 1257, 106, 1814, 10482, 1192, 1256, 19775, 1357, 1915, 2072, 6292, 1125, 20248, 15910, 1170, 14514, 12380, 1299, 20349, 28802, 244, 3143, 1304, 25725, 1158, 17920, 1197, 2063, 1134, 4111, 1167, 1158, 10979, 1125, 21859, 2558, 121, 106, 1814, 10482, 1233, 1256, 5393, 1170, 6912, 1366, 5690, 3725, 9083, 1125, 21847, 8286, 1364, 1357, 1186, 1408, 1125, 1561, 10979, 1125, 8008, 2856, 1304, 25725, 1170, 1694, 6677, 106, 1814, 4755, 10482, 2856, 25314, 1189, 3358, 174, 4618, 2889, 174, 1836, 1175, 6095, 1379, 3688, 2408, 116, 1357, 1809, 5434, 1207, 19398, 8185, 1186, 14927, 1167, 1357, 12425, 1125, 1138, 24120, 1318, 2768, 1158, 14072, 1826, 237, 1210, 3798, 106, 106, 216, 3862, 1227, 3013, 2585, 1170, 14514, 1299, 1317, 5146, 1125, 4185, 7710, 1285, 1197, 14927, 18401, 1188, 25491, 3851, 2532, 4364, 3559, 2768, 1170, 2510, 1125, 488, 125, 123, 123, 14927, 12669, 8665, 488, 126, 123, 123, 1995, 1158, 15756, 1197, 488, 125, 123, 123, 1110, 3839, 1913, 28371, 1496, 3342, 7039, 1125, 18043, 1158, 15756, 13190, 1227, 3358, 174, 1333, 1657, 106, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 13644, 1125, 7762, 17798, 1469, 2770, 24165, 22709, 1125, 1622, 121, 1643, 16730, 1227, 5047, 1299, 7513, 2806, 11976, 2205, 26659, 1188, 3862, 1227, 16934, 1290, 5533, 106, 106, 224, 15565, 1125, 4764, 488, 106, 15495, 1836, 1257, 13934, 1507, 180, 24212, 7497, 106, 7673, 193, 26595, 1257, 1306, 180, 4954, 27311, 31181, 18038, 1175, 5395, 13467, 116, 106, 21795, 5059, 1136, 1257, 23148, 1515, 7901, 1209, 182, 25639, 106, 20068, 1392, 1257, 18014, 1180, 8445, 1518, 2562, 196, 26029, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 21795, 24059, 1257, 13195, 6220, 1459, 15167, 106, 10226, 1201, 1257, 11818, 4816, 1325, 1569, 1219, 1242, 2215, 2433, 1671, 4849, 186, 1266, 1569, 1174, 10103, 106, 11166, 3195, 1201, 1257, 1248, 180, 1507, 1187, 1118, 1266, 2570, 1810, 3743, 2955, 180, 3991, 1136, 7497, 106, 15495, 1836, 1594, 1257, 13195, 6220, 1459, 15167, 106, 17608, 1594, 1257, 1306, 9249, 2393, 180, 1306, 5668, 2547, 180, 6713, 1963, 29279, 116, 106, 20357, 1257, 15260, 2194, 9249, 1518, 1153, 1145, 1387, 180, 6713, 1963, 29279, 116, 106, 12811, 2298, 1594, 4731, 1257, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 1352, 3420, 1197, 14115, 1257, 27899, 2504, 30415, 1193, 2547, 2433, 1671, 1141, 5173, 27311, 1306, 9249, 191, 1810, 1671, 4849, 186, 1266, 1569, 1174, 1136, 1810, 13195, 6220, 1459, 1118, 1965, 10073, 2461, 186, 1266, 1943, 1195, 1136, 1810, 25412, 2955, 180, 24212, 1174, 10103, 106, 25947, 4309, 1257, 1198, 1180, 8445, 17174, 9193, 1493, 17368, 106, 106, 158, 21501, 488, 106, 2524, 1250, 2905, 6578, 1125, 1440, 5047, 2004, 1913, 26645, 1257, 10665, 8908, 19691, 1167, 10665, 8908, 19691, 21979, 106, 106, 28870, 5825, 488, 106, 7649, 9229, 106, 106, 10853, 488, 106, 106, 4506, 2836, 1330, 1320, 1806, 106, 5522, 192, 6327, 9665, 1186, 488, 124, 132, 132, 131, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 132, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 1165, 1435, 488, 124, 1243, 5881, 1162, 106, 5522, 192, 3743, 13467, 106, 5522, 192, 6327, 15519, 1317, 14506, 106, 5522, 192, 6327, 1125, 7332, 30540, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 1189, 11777, 1330, 1320, 1806, 15519, 1215, 1165, 1435, 23332, 1186, 488, 124, 132, 132, 131, 1300, 1138, 13193, 1304, 4691, 29476, 106, 106, 4968, 1538, 5844, 488, 106, 1686, 488, 125, 123, 124, 131, 119, 3203, 31050, 1571, 17296, 3993, 2059, 6301, 25006, 1175, 1592, 155, 6058, 10721, 2548, 20028, 6348, 1649, 1154, 1173, 1462, 1696, 4873, 2092, 116, 5524, 9524, 1373, 1318, 31895, 1357, 9342, 14823, 16275, 196, 2181, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 5047, 1281, 5136, 1188, 13324, 1125, 488, 126, 30603, 1257, 106, 1814, 10482, 1192, 1256, 19775, 1357, 1915, 2072, 6292, 1125, 20248, 15910, 1170, 14514, 12380, 1299, 20349, 28802, 244, 3143, 1304, 25725, 1158, 17920, 1197, 2063, 1134, 4111, 1167, 1158, 10979, 1125, 21859, 2558, 121, 106, 1814, 10482, 1233, 1256, 5393, 1170, 6912, 1366, 5690, 3725, 9083, 1125, 21847, 8286, 1364, 1357, 1186, 1408, 1125, 1561, 10979, 1125, 8008, 2856, 1304, 25725, 1170, 1694, 6677, 106, 1814, 4755, 10482, 2856, 25314, 1189, 3358, 174, 4618, 2889, 174, 1836, 1175, 6095, 1379, 3688, 2408, 116, 1357, 1809, 5434, 1207, 19398, 8185, 1186, 14927, 1167, 1357, 12425, 1125, 1138, 24120, 1318, 2768, 1158, 14072, 1826, 237, 1210, 3798, 106, 106, 216, 3862, 1227, 3013, 2585, 1170, 14514, 1299, 1317, 5146, 1125, 4185, 7710, 1285, 1197, 14927, 18401, 1188, 25491, 3851, 2532, 4364, 3559, 2768, 1170, 2510, 1125, 488, 125, 123, 123, 14927, 12669, 8665, 488, 126, 123, 123, 1995, 1158, 15756, 1197, 488, 125, 123, 123, 1110, 3839, 1913, 28371, 1496, 3342, 7039, 1125, 18043, 1158, 15756, 13190, 1227, 3358, 174, 1333, 1657, 106, 106, 1592, 155, 1248, 2036, 2524, 121, 1299, 13644, 1125, 7762, 17798, 1469, 2770, 24165, 22709, 1125, 1622, 121, 1643, 16730, 1227, 5047, 1299, 7513, 2806, 11976, 2205, 26659, 1188, 3862, 1227, 16934, 1290, 5533, 106, 106, 224, 15565, 1125, 4764, 488, 106, 15495, 1836, 1257, 13934, 1507, 180, 24212, 7497, 106, 7673, 193, 26595, 1257, 1306, 180, 4954, 27311, 31181, 18038, 1175, 5395, 13467, 116, 106, 21795, 5059, 1136, 1257, 23148, 1515, 7901, 1209, 182, 25639, 106, 20068, 1392, 1257, 18014, 1180, 8445, 1518, 2562, 196, 26029, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 21795, 24059, 1257, 13195, 6220, 1459, 15167, 106, 10226, 1201, 1257, 11818, 4816, 1325, 1569, 1219, 1242, 2215, 2433, 1671, 4849, 186, 1266, 1569, 1174, 10103, 106, 11166, 3195, 1201, 1257, 1248, 180, 1507, 1187, 1118, 1266, 2570, 1810, 3743, 2955, 180, 3991, 1136, 7497, 106, 15495, 1836, 1594, 1257, 13195, 6220, 1459, 15167, 106, 17608, 1594, 1257, 1306, 9249, 2393, 180, 1306, 5668, 2547, 180, 6713, 1963, 29279, 116, 106, 20357, 1257, 15260, 2194, 9249, 1518, 1153, 1145, 1387, 180, 6713, 1963, 29279, 116, 106, 12811, 2298, 1594, 4731, 1257, 26184, 192, 1507, 180, 1671, 1219, 27311, 106, 1352, 3420, 1197, 14115, 1257, 27899, 2504, 30415, 1193, 2547, 2433, 1671, 1141, 5173, 27311, 1306, 9249, 191, 1810, 1671, 4849, 186, 1266, 1569, 1174, 1136, 1810, 13195, 6220, 1459, 1118, 1965, 10073, 2461, 186, 1266, 1943, 1195, 1136, 1810, 25412, 2955, 180, 24212, 1174, 10103, 106, 25947, 4309, 1257, 1198, 1180, 8445, 17174, 9193, 1493, 17368, 106, 106, 158, 21501, 488, 106, 2524, 1250, 2905, 6578, 1125, 1440, 5047, 2004, 1913, 26645, 1257, 10665, 8908, 19691, 1167, 10665, 8908, 19691, 21979, 106, 106, 28870, 5825, 488, 106, 7649, 9229, 106, 106, 10853, 488, 106, 106, 4506, 2836, 1330, 1320, 1806, 106, 5522, 192, 6327, 9665, 1186, 488, 124, 132, 132, 131, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 132, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 1165, 1435, 488, 124, 1243, 5881, 1162, 106, 5522, 192, 3743, 13467, 106, 5522, 192, 6327, 15519, 1317, 14506, 106, 5522, 192, 6327, 1125, 7332, 30540, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 155, 1156, 1150, 1173, 5243, 7219, 19505, 4419, 1370, 1158, 488, 124, 123, 2822, 488, 124, 132, 128, 125, 1188, 6284, 29083, 2497, 1871, 2068, 1845, 1317, 9671, 1460, 116, 1299, 1318, 10952, 1125, 4981, 173, 5738, 4578, 1127, 1398, 1146, 5485, 1357, 12242, 1370, 1317, 2936, 1125, 1185, 5611, 1125, 1663, 121, 106, 106, 141, 11741, 106, 106, 142, 1662, 1450, 1186, 5878, 106, 106, 5164, 20096, 1189, 3983, 1125, 488, 124, 125, 125, 3904, 1186, 3453, 10041, 1127, 1398, 1146, 1262, 1469, 1170, 7879, 29354, 1810, 1170, 19785, 14570, 1252, 7440, 1207, 3743, 2178, 1141, 8830, 1104, 12170, 1167, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 5164, 18900, 1318, 11609, 1197, 14045, 1125, 1158, 4002, 142, 2450, 7761, 1167, 1318, 21594, 172, 5806, 14804, 1146, 4436, 1469, 1170, 7879, 29354, 2036, 1768, 18900, 2445, 1318, 3694, 1125, 14045, 1227, 9671, 1460, 1469, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 142, 1662, 1450, 1186, 4924, 3781, 106, 106, 16543, 1416, 10796, 1227, 9671, 3725, 1527, 3227, 488, 126, 20825, 2391, 1125, 9911, 488, 124, 132, 130, 131, 121, 106, 106, 5164, 8017, 1313, 1170, 3274, 1197, 28588, 2391, 1125, 1158, 11609, 1227, 2854, 1125, 488, 124, 132, 130, 131, 121, 7823, 1227, 14610, 16142, 1186, 19730, 3603, 1527, 3227, 2069, 3904, 1257, 2714, 6389, 16260, 1167, 1158, 24088, 121, 106, 106, 155, 26361, 106, 106, 16245, 1167, 5474, 106, 106, 28870, 16718, 106, 106, 153, 3400, 1313, 17902, 1125, 1321, 1790, 6271, 1266, 3400, 1186, 2822, 488, 124, 132, 128, 125, 13320, 24981, 4578, 1127, 1398, 1146, 1262, 1293, 8851, 1108, 1125, 1663, 1317, 7711, 1321, 12590, 1227, 7879, 29354, 172, 1321, 12590, 1227, 15286, 1202, 1277, 2014, 2036, 32001, 488, 106, 32000, 20036, 106, 155, 1156, 1150, 1173, 5243, 7219, 19505, 24051, 1170, 488, 124, 123, 2822, 488, 124, 132, 128, 125, 1188, 6284, 29083, 2497, 1871, 2068, 1845, 1317, 9671, 1460, 116, 1299, 1189, 10952, 1125, 7711, 4578, 1127, 1398, 1146, 5485, 1357, 12242, 1370, 1317, 8536, 1125, 24526, 1108, 1125, 1663, 121, 106, 106, 141, 11741, 106, 106, 20616, 4096, 1186, 5878, 488, 106, 106, 5164, 24844, 1189, 3983, 1125, 488, 124, 125, 125, 20825, 1186, 3453, 10041, 1127, 1398, 1146, 2100, 1469, 1170, 7879, 29354, 1810, 1170, 19785, 14570, 1252, 7440, 1282, 5395, 2178, 1141, 8830, 1104, 12170, 1167, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 5164, 18900, 1318, 11609, 1197, 27712, 1125, 1158, 4002, 142, 2450, 7761, 1167, 1318, 21594, 172, 5806, 14804, 1146, 4436, 1469, 1170, 7879, 29354, 2036, 1768, 18900, 2445, 1189, 3694, 1125, 14045, 1227, 9671, 1460, 1469, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 20616, 4096, 1186, 4924, 5277, 488, 106, 106, 140, 6854, 10796, 1227, 9671, 3725, 1527, 10809, 488, 126, 20825, 2391, 1125, 9911, 488, 124, 132, 130, 131, 121, 106, 106, 5164, 8017, 1313, 1170, 3274, 1197, 5266, 14006, 2391, 1125, 1158, 11609, 1227, 2854, 1125, 488, 124, 132, 130, 131, 121, 7823, 1227, 14610, 16142, 1186, 19730, 3603, 1527, 10809, 2069, 20825, 1257, 2714, 6389, 16260, 1167, 1158, 24088, 121, 106, 106, 155, 26361, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1313, 17902, 1125, 1321, 1790, 6271, 106, 153, 3400, 1186, 2822, 488, 124, 132, 128, 125, 106, 145, 2836, 24981, 4578, 1127, 1398, 1146, 1262, 106, 146, 8851, 1108, 1125, 1663, 1317, 7711, 106, 149, 12590, 1227, 7879, 29354, 172, 106, 149, 12590, 1227, 15286, 1202, 1277, 2014, 172, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 1156, 1150, 1173, 5243, 7219, 19505, 24051, 1170, 488, 124, 123, 2822, 488, 124, 132, 128, 125, 1188, 6284, 29083, 2497, 1871, 2068, 1845, 1317, 9671, 1460, 116, 1299, 1189, 10952, 1125, 7711, 4578, 1127, 1398, 1146, 5485, 1357, 12242, 1370, 1317, 8536, 1125, 24526, 1108, 1125, 1663, 121, 106, 106, 141, 11741, 106, 106, 20616, 4096, 1186, 5878, 488, 106, 106, 5164, 24844, 1189, 3983, 1125, 488, 124, 125, 125, 20825, 1186, 3453, 10041, 1127, 1398, 1146, 2100, 1469, 1170, 7879, 29354, 1810, 1170, 19785, 14570, 1252, 7440, 1282, 5395, 2178, 1141, 8830, 1104, 12170, 1167, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 5164, 18900, 1318, 11609, 1197, 27712, 1125, 1158, 4002, 142, 2450, 7761, 1167, 1318, 21594, 172, 5806, 14804, 1146, 4436, 1469, 1170, 7879, 29354, 2036, 1768, 18900, 2445, 1189, 3694, 1125, 14045, 1227, 9671, 1460, 1469, 1170, 15286, 1202, 1277, 2014, 2036, 106, 106, 20616, 4096, 1186, 4924, 5277, 488, 106, 106, 140, 6854, 10796, 1227, 9671, 3725, 1527, 10809, 488, 126, 20825, 2391, 1125, 9911, 488, 124, 132, 130, 131, 121, 106, 106, 5164, 8017, 1313, 1170, 3274, 1197, 5266, 14006, 2391, 1125, 1158, 11609, 1227, 2854, 1125, 488, 124, 132, 130, 131, 121, 7823, 1227, 14610, 16142, 1186, 19730, 3603, 1527, 10809, 2069, 20825, 1257, 2714, 6389, 16260, 1167, 1158, 24088, 121, 106, 106, 155, 26361, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1313, 17902, 1125, 1321, 1790, 6271, 106, 153, 3400, 1186, 2822, 488, 124, 132, 128, 125, 106, 145, 2836, 24981, 4578, 1127, 1398, 1146, 1262, 106, 146, 8851, 1108, 1125, 1663, 1317, 7711, 106, 149, 12590, 1227, 7879, 29354, 172, 106, 149, 12590, 1227, 15286, 1202, 1277, 2014, 172, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 4282, 1213, 1307, 1314, 1185, 1670, 1119, 3421, 1299, 1318, 16074, 1125, 21351, 1125, 1158, 5920, 1197, 6385, 184, 25941, 3450, 6739, 1382, 1913, 23393, 8688, 1197, 4153, 6617, 9396, 1234, 1186, 3276, 11509, 2596, 106, 106, 2700, 1232, 2962, 1207, 2905, 16074, 1227, 7433, 3187, 1213, 1307, 196, 6664, 3557, 1189, 6385, 184, 1374, 4170, 1167, 19011, 1199, 1571, 17470, 3462, 2805, 1167, 1138, 1221, 1176, 1457, 106, 106, 7397, 2035, 2647, 1125, 1158, 13833, 2988, 1167, 1501, 2944, 18740, 13006, 1299, 11551, 1303, 1167, 2797, 14291, 1299, 2774, 17999, 14889, 106, 106, 9688, 3855, 1189, 4170, 6385, 184, 1374, 1691, 1237, 30359, 1125, 2290, 2687, 1517, 121, 1173, 1117, 1326, 1125, 488, 124, 1188, 488, 125, 184, 1125, 4392, 1167, 1125, 488, 126, 119, 128, 1188, 488, 127, 5019, 1125, 23486, 119, 3855, 1835, 3243, 4970, 31495, 2205, 19360, 1125, 488, 123, 119, 128, 1188, 488, 125, 5019, 119, 1110, 18272, 6952, 488, 124, 1127, 1125, 4392, 1189, 27150, 1125, 7338, 2252, 1464, 1549, 5049, 12431, 6542, 1638, 245, 1328, 1167, 13885, 19546, 1457, 4307, 1396, 1125, 488, 124, 128, 1188, 488, 125, 123, 8008, 1292, 1457, 4390, 192, 3023, 1125, 488, 124, 119, 127, 1188, 488, 125, 1127, 1125, 21676, 1754, 1132, 1473, 1167, 1400, 1134, 4413, 1202, 244, 1117, 1731, 1125, 488, 127, 123, 1188, 488, 129, 123, 5019, 121, 7346, 173, 3462, 1659, 1138, 1221, 10406, 1125, 488, 126, 123, 1188, 488, 127, 123, 5019, 1125, 3564, 1167, 488, 124, 1188, 488, 124, 119, 125, 1127, 1125, 2102, 121, 1459, 2307, 4731, 174, 1535, 190, 1597, 177, 7847, 5291, 2081, 13885, 12452, 3392, 1186, 3391, 1120, 25933, 1125, 488, 125, 128, 1188, 488, 126, 123, 5019, 1125, 21676, 10259, 244, 1188, 1282, 1383, 1333, 5161, 1113, 1153, 3672, 1188, 1158, 1360, 1308, 4700, 119, 1300, 1189, 9304, 1986, 1890, 1125, 488, 128, 123, 5019, 121, 1951, 29051, 2340, 1125, 488, 125, 123, 5019, 1167, 1499, 19548, 1125, 488, 127, 123, 5019, 119, 2962, 2069, 14235, 29345, 26612, 2988, 10877, 31825, 12372, 1772, 5193, 1871, 26347, 17345, 175, 4542, 2131, 185, 3794, 10293, 24333, 3683, 1125, 488, 124, 119, 128, 5019, 1125, 10555, 243, 1216, 1167, 488, 125, 119, 128, 5019, 1125, 2102, 121, 1200, 190, 14360, 1227, 7433, 3187, 1213, 1307, 196, 1245, 1508, 1667, 3529, 244, 1259, 1473, 1571, 24429, 2810, 17942, 1835, 488, 125, 123, 123, 1167, 488, 127, 123, 123, 1127, 28345, 5815, 119, 7008, 1127, 1979, 1297, 106, 106, 143, 10995, 4060, 16074, 1299, 2283, 16738, 1106, 1158, 2031, 1477, 8286, 1366, 1125, 13833, 2988, 19832, 1152, 1390, 244, 1125, 15361, 196, 1301, 1652, 1859, 1125, 1271, 3652, 1486, 5819, 1167, 1227, 1173, 6883, 1174, 1626, 121, 3450, 1299, 10423, 1111, 2205, 2032, 1790, 3798, 6218, 30344, 1281, 2668, 1313, 1207, 24429, 1557, 1416, 1272, 26548, 106, 106, 159, 2012, 6668, 1768, 1110, 1913, 13523, 1256, 1158, 2046, 1187, 2768, 1186, 488, 124, 132, 131, 131, 1215, 3699, 28688, 1125, 2855, 2456, 1415, 1167, 15770, 1306, 1274, 5339, 1313, 1158, 3360, 192, 13955, 2333, 1575, 488, 127, 123, 133, 488, 130, 129, 121, 106, 106, 224, 1433, 184, 4058, 3187, 1213, 1307, 196, 1245, 1257, 1227, 16877, 20249, 1105, 1175, 1630, 186, 1399, 116, 1167, 1185, 1109, 7393, 1320, 1378, 1496, 1186, 6891, 1571, 10369, 2820, 1717, 1186, 4438, 26644, 186, 22094, 106, 106, 146, 1670, 1119, 1462, 1120, 1257, 1125, 3276, 11509, 2596, 106, 106, 17944, 4476, 2638, 1469, 4189, 3007, 172, 31769, 1208, 1712, 180, 2433, 2008, 10064, 1250, 1305, 174, 1197, 17470, 1188, 16779, 1117, 1731, 1906, 1408, 6001, 1175, 124, 123, 1188, 488, 124, 131, 5019, 116, 1167, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 124, 128, 1188, 488, 125, 123, 5019, 3628, 1469, 4189, 3007, 172, 488, 5821, 2451, 1203, 10149, 1120, 1571, 17470, 1177, 7702, 3462, 12343, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 125, 123, 5019, 116, 1167, 14333, 1199, 1300, 2429, 2081, 1147, 1414, 4496, 1186, 13996, 1994, 14086, 2288, 6364, 121, 106, 106, 10853, 106, 106, 140, 3376, 186, 1468, 4735, 10665, 243, 174, 5519, 3376, 1431, 4735, 29610, 11246, 116, 5796, 184, 1374, 1125, 13833, 2988, 3758, 1345, 2283, 2035, 2647, 1125, 1158, 13833, 2988, 25651, 1805, 2845, 1186, 488, 124, 132, 131, 131, 121, 32001, 488, 106, 32000, 20036, 106, 4282, 1213, 1307, 196, 1245, 1185, 1670, 1119, 1462, 1120, 1299, 1318, 16074, 1125, 21351, 1125, 1158, 4446, 1197, 6385, 184, 25941, 3450, 6739, 1913, 5391, 1303, 8688, 1197, 4153, 6617, 9396, 1234, 1186, 3276, 11509, 2596, 106, 106, 2700, 1232, 2962, 1207, 2905, 14360, 1227, 7433, 3187, 1213, 1307, 196, 6664, 3557, 1189, 6385, 184, 1374, 4170, 1167, 19011, 1199, 1571, 17470, 3462, 2805, 1167, 1138, 1221, 1176, 1457, 106, 106, 7397, 16738, 1125, 1158, 13833, 2988, 1167, 1501, 2944, 18740, 13006, 1299, 11551, 1303, 1167, 2797, 14291, 1299, 2774, 17999, 14889, 106, 106, 9688, 488, 106, 142, 1699, 1189, 4170, 6385, 184, 1374, 1691, 1237, 30359, 1125, 2290, 2687, 1517, 121, 1173, 1117, 1326, 1125, 488, 124, 1188, 488, 125, 1127, 1125, 4392, 1167, 1125, 488, 126, 119, 128, 1188, 488, 127, 5019, 1125, 23486, 119, 3855, 1835, 3243, 283, 31495, 2205, 19360, 1125, 488, 123, 119, 128, 1188, 488, 125, 5019, 119, 1469, 119, 6952, 488, 124, 1127, 1125, 4392, 1189, 27150, 1125, 7338, 2252, 1464, 1549, 5049, 12431, 6542, 1638, 245, 1328, 1167, 13885, 19546, 1457, 4307, 1767, 1125, 488, 124, 128, 1188, 488, 125, 123, 8008, 1292, 1457, 4390, 192, 3023, 1125, 488, 124, 119, 127, 1188, 488, 125, 1127, 1125, 21676, 1754, 1132, 1473, 1167, 1400, 4568, 1457, 1202, 244, 1117, 1731, 1125, 488, 127, 123, 1188, 488, 129, 123, 5019, 121, 7346, 1897, 3462, 1659, 1138, 1221, 10406, 1125, 488, 126, 123, 1188, 488, 127, 123, 5019, 1125, 3564, 1167, 488, 124, 1188, 488, 124, 119, 125, 1127, 1125, 2102, 121, 106, 1428, 2307, 4731, 174, 2027, 1597, 177, 7847, 5291, 2081, 13885, 19546, 1346, 1186, 3391, 1120, 4815, 6614, 1125, 488, 125, 128, 1188, 488, 126, 123, 5019, 1125, 21676, 10259, 1473, 1188, 1282, 1383, 1333, 5161, 2648, 3672, 1104, 1188, 1158, 1360, 1308, 4700, 119, 1300, 1189, 9304, 1986, 1890, 1125, 488, 128, 123, 5019, 121, 1951, 29051, 2340, 1125, 488, 125, 123, 5019, 1167, 1499, 19548, 1125, 488, 127, 123, 5019, 119, 2962, 2069, 14235, 1203, 5291, 26612, 2988, 17061, 1616, 9965, 1457, 1772, 5193, 1871, 26347, 17345, 175, 4542, 2131, 185, 3794, 10293, 24333, 3683, 1125, 488, 124, 119, 128, 5019, 1125, 23486, 1167, 488, 125, 119, 128, 5019, 1125, 2102, 121, 106, 4455, 14360, 1227, 7433, 3187, 1213, 1307, 196, 1245, 1508, 2962, 3529, 244, 1259, 1473, 1571, 24429, 2810, 17942, 1835, 488, 125, 123, 123, 1167, 488, 127, 123, 123, 1127, 28345, 5815, 119, 7008, 1127, 1979, 1297, 106, 106, 143, 10995, 488, 106, 142, 1567, 16074, 1299, 2283, 16738, 1125, 1158, 13624, 8286, 1366, 1125, 13833, 2988, 19832, 22119, 1125, 15361, 196, 1301, 1652, 1859, 1125, 1271, 3652, 1486, 5819, 1167, 1227, 1173, 6883, 1174, 1626, 121, 3450, 1299, 10423, 1167, 2205, 2032, 1790, 3798, 106, 158, 1105, 30344, 1281, 18381, 1313, 1207, 24429, 1557, 1416, 1272, 26548, 106, 106, 159, 2012, 6668, 488, 106, 5164, 1110, 1913, 13523, 1256, 1158, 3453, 2768, 1186, 488, 124, 132, 131, 131, 1215, 3699, 28688, 1125, 2855, 2456, 1415, 1167, 15770, 1306, 1274, 5339, 1313, 1158, 14621, 13955, 2333, 1575, 488, 127, 123, 133, 488, 130, 129, 121, 106, 106, 224, 1433, 184, 4058, 488, 106, 4282, 1213, 1307, 196, 1245, 1257, 1227, 16877, 20249, 1105, 1175, 1630, 186, 1399, 116, 1167, 1185, 196, 1245, 7393, 1320, 1378, 1496, 1186, 6891, 1571, 10369, 2820, 1717, 1186, 4438, 26644, 186, 22094, 106, 106, 146, 1670, 1119, 1462, 1120, 1257, 1125, 3276, 11509, 2596, 106, 106, 17944, 4476, 2638, 488, 106, 9030, 4189, 3007, 172, 31769, 1208, 1712, 180, 2433, 2008, 10064, 1250, 1469, 1197, 17470, 1188, 16779, 1117, 1731, 1906, 1408, 6001, 1175, 124, 123, 1188, 488, 124, 131, 5019, 116, 1167, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 124, 128, 1188, 488, 125, 123, 5019, 3628, 488, 106, 9030, 4189, 3007, 172, 488, 5821, 2451, 1203, 10149, 1120, 1571, 17470, 28996, 3462, 12343, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 125, 123, 5019, 116, 1167, 14333, 1199, 1300, 2429, 2081, 1147, 1414, 4496, 1186, 13996, 1994, 14086, 2288, 6364, 121, 106, 106, 10853, 488, 106, 106, 140, 3376, 186, 1468, 4735, 106, 144, 2145, 13006, 5519, 3376, 1431, 4735, 29610, 11246, 116, 106, 155, 14955, 1374, 1125, 13833, 2988, 106, 6797, 1345, 2283, 16738, 1125, 1158, 13833, 2988, 106, 3956, 2009, 1805, 2845, 1186, 488, 124, 132, 131, 131, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4282, 1213, 1307, 196, 1245, 1185, 1670, 1119, 1462, 1120, 1299, 1318, 16074, 1125, 21351, 1125, 1158, 4446, 1197, 6385, 184, 25941, 3450, 6739, 1913, 5391, 1303, 8688, 1197, 4153, 6617, 9396, 1234, 1186, 3276, 11509, 2596, 106, 106, 2700, 1232, 2962, 1207, 2905, 14360, 1227, 7433, 3187, 1213, 1307, 196, 6664, 3557, 1189, 6385, 184, 1374, 4170, 1167, 19011, 1199, 1571, 17470, 3462, 2805, 1167, 1138, 1221, 1176, 1457, 106, 106, 7397, 16738, 1125, 1158, 13833, 2988, 1167, 1501, 2944, 18740, 13006, 1299, 11551, 1303, 1167, 2797, 14291, 1299, 2774, 17999, 14889, 106, 106, 9688, 488, 106, 142, 1699, 1189, 4170, 6385, 184, 1374, 1691, 1237, 30359, 1125, 2290, 2687, 1517, 121, 1173, 1117, 1326, 1125, 488, 124, 1188, 488, 125, 1127, 1125, 4392, 1167, 1125, 488, 126, 119, 128, 1188, 488, 127, 5019, 1125, 23486, 119, 3855, 1835, 3243, 283, 31495, 2205, 19360, 1125, 488, 123, 119, 128, 1188, 488, 125, 5019, 119, 1469, 119, 6952, 488, 124, 1127, 1125, 4392, 1189, 27150, 1125, 7338, 2252, 1464, 1549, 5049, 12431, 6542, 1638, 245, 1328, 1167, 13885, 19546, 1457, 4307, 1767, 1125, 488, 124, 128, 1188, 488, 125, 123, 8008, 1292, 1457, 4390, 192, 3023, 1125, 488, 124, 119, 127, 1188, 488, 125, 1127, 1125, 21676, 1754, 1132, 1473, 1167, 1400, 4568, 1457, 1202, 244, 1117, 1731, 1125, 488, 127, 123, 1188, 488, 129, 123, 5019, 121, 7346, 1897, 3462, 1659, 1138, 1221, 10406, 1125, 488, 126, 123, 1188, 488, 127, 123, 5019, 1125, 3564, 1167, 488, 124, 1188, 488, 124, 119, 125, 1127, 1125, 2102, 121, 106, 1428, 2307, 4731, 174, 2027, 1597, 177, 7847, 5291, 2081, 13885, 19546, 1346, 1186, 3391, 1120, 4815, 6614, 1125, 488, 125, 128, 1188, 488, 126, 123, 5019, 1125, 21676, 10259, 1473, 1188, 1282, 1383, 1333, 5161, 2648, 3672, 1104, 1188, 1158, 1360, 1308, 4700, 119, 1300, 1189, 9304, 1986, 1890, 1125, 488, 128, 123, 5019, 121, 1951, 29051, 2340, 1125, 488, 125, 123, 5019, 1167, 1499, 19548, 1125, 488, 127, 123, 5019, 119, 2962, 2069, 14235, 1203, 5291, 26612, 2988, 17061, 1616, 9965, 1457, 1772, 5193, 1871, 26347, 17345, 175, 4542, 2131, 185, 3794, 10293, 24333, 3683, 1125, 488, 124, 119, 128, 5019, 1125, 23486, 1167, 488, 125, 119, 128, 5019, 1125, 2102, 121, 106, 4455, 14360, 1227, 7433, 3187, 1213, 1307, 196, 1245, 1508, 2962, 3529, 244, 1259, 1473, 1571, 24429, 2810, 17942, 1835, 488, 125, 123, 123, 1167, 488, 127, 123, 123, 1127, 28345, 5815, 119, 7008, 1127, 1979, 1297, 106, 106, 143, 10995, 488, 106, 142, 1567, 16074, 1299, 2283, 16738, 1125, 1158, 13624, 8286, 1366, 1125, 13833, 2988, 19832, 22119, 1125, 15361, 196, 1301, 1652, 1859, 1125, 1271, 3652, 1486, 5819, 1167, 1227, 1173, 6883, 1174, 1626, 121, 3450, 1299, 10423, 1167, 2205, 2032, 1790, 3798, 106, 158, 1105, 30344, 1281, 18381, 1313, 1207, 24429, 1557, 1416, 1272, 26548, 106, 106, 159, 2012, 6668, 488, 106, 5164, 1110, 1913, 13523, 1256, 1158, 3453, 2768, 1186, 488, 124, 132, 131, 131, 1215, 3699, 28688, 1125, 2855, 2456, 1415, 1167, 15770, 1306, 1274, 5339, 1313, 1158, 14621, 13955, 2333, 1575, 488, 127, 123, 133, 488, 130, 129, 121, 106, 106, 224, 1433, 184, 4058, 488, 106, 4282, 1213, 1307, 196, 1245, 1257, 1227, 16877, 20249, 1105, 1175, 1630, 186, 1399, 116, 1167, 1185, 196, 1245, 7393, 1320, 1378, 1496, 1186, 6891, 1571, 10369, 2820, 1717, 1186, 4438, 26644, 186, 22094, 106, 106, 146, 1670, 1119, 1462, 1120, 1257, 1125, 3276, 11509, 2596, 106, 106, 17944, 4476, 2638, 488, 106, 9030, 4189, 3007, 172, 31769, 1208, 1712, 180, 2433, 2008, 10064, 1250, 1469, 1197, 17470, 1188, 16779, 1117, 1731, 1906, 1408, 6001, 1175, 124, 123, 1188, 488, 124, 131, 5019, 116, 1167, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 124, 128, 1188, 488, 125, 123, 5019, 3628, 488, 106, 9030, 4189, 3007, 172, 488, 5821, 2451, 1203, 10149, 1120, 1571, 17470, 28996, 3462, 12343, 1188, 2736, 1897, 1408, 1754, 5548, 1175, 125, 123, 5019, 116, 1167, 14333, 1199, 1300, 2429, 2081, 1147, 1414, 4496, 1186, 13996, 1994, 14086, 2288, 6364, 121, 106, 106, 10853, 488, 106, 106, 140, 3376, 186, 1468, 4735, 106, 144, 2145, 13006, 5519, 3376, 1431, 4735, 29610, 11246, 116, 106, 155, 14955, 1374, 1125, 13833, 2988, 106, 6797, 1345, 2283, 16738, 1125, 1158, 13833, 2988, 106, 3956, 2009, 1805, 2845, 1186, 488, 124, 132, 131, 131, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 12289, 1152, 1593, 1382, 1617, 7159, 1318, 15038, 11925, 27433, 1215, 1158, 20926, 1632, 5964, 17426, 26213, 1202, 4910, 2726, 9665, 1186, 488, 127, 128, 17886, 1167, 3185, 488, 127, 128, 17886, 1186, 488, 124, 132, 129, 129, 121, 6053, 1158, 15038, 2888, 19673, 1129, 1199, 1158, 3509, 1470, 1317, 29370, 3116, 1651, 2673, 1125, 1158, 15038, 488, 124, 132, 129, 129, 121, 106, 106, 216, 5613, 1136, 1651, 2159, 106, 106, 12289, 1152, 1593, 1382, 1617, 1299, 1158, 15038, 4716, 1913, 1114, 3118, 1365, 1303, 1256, 25970, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 488, 124, 132, 129, 129, 1170, 488, 132, 2829, 1188, 13557, 8043, 1157, 3296, 106, 106, 3562, 15038, 1299, 8363, 1132, 1160, 11925, 27433, 1186, 15173, 14765, 1197, 7577, 9229, 1125, 1158, 1173, 1660, 5650, 1856, 16354, 1679, 1158, 16412, 1125, 488, 124, 132, 129, 129, 1188, 488, 124, 132, 130, 125, 121, 2576, 1121, 23247, 1299, 12495, 1303, 1215, 3699, 1248, 9115, 18424, 106, 106, 12289, 1152, 1593, 1382, 1617, 1299, 1158, 2404, 197, 3555, 15038, 11925, 2201, 2391, 1125, 1158, 13502, 1227, 1892, 16873, 6441, 1671, 186, 28719, 15945, 1819, 1125, 15293, 3004, 1140, 1256, 5613, 19085, 1167, 11468, 8673, 1408, 6525, 1125, 1198, 5364, 7348, 1256, 3335, 1183, 2181, 106, 106, 216, 25994, 1227, 1873, 3212, 2399, 1666, 3718, 488, 124, 129, 4153, 1167, 1281, 1936, 488, 129, 2247, 1300, 488, 124, 131, 10139, 3847, 106, 106, 151, 2038, 1197, 8470, 106, 106, 147, 15376, 1125, 9665, 106, 106, 20634, 1167, 5474, 106, 106, 2330, 30181, 1125, 5613, 1136, 1651, 2159, 1125, 488, 124, 132, 129, 129, 106, 2330, 30181, 12260, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 106, 2330, 30181, 1186, 2720, 106, 27807, 10709, 9665, 1186, 488, 124, 132, 129, 129, 106, 27807, 9053, 1215, 10542, 158, 22628, 106, 27807, 9053, 1215, 26287, 22628, 32001, 488, 106, 32000, 20036, 106, 114, 12289, 8918, 21154, 1382, 1617, 1299, 1318, 15038, 11925, 27433, 1215, 1158, 20926, 1632, 5964, 17426, 26213, 1202, 4910, 2726, 8969, 1186, 488, 127, 128, 17886, 1167, 3185, 488, 127, 128, 17886, 1186, 488, 124, 132, 129, 129, 121, 6053, 1158, 15038, 12260, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 488, 124, 132, 129, 129, 121, 106, 106, 216, 5613, 1136, 1651, 2159, 488, 106, 106, 12289, 8918, 21154, 1382, 1617, 1299, 1158, 15038, 4716, 1913, 5266, 11980, 1256, 25970, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 488, 124, 132, 129, 129, 1170, 488, 132, 2829, 1188, 13557, 8043, 1157, 3296, 106, 106, 3562, 15038, 1299, 22086, 1692, 11925, 27433, 1186, 15173, 14765, 1197, 15532, 11131, 1717, 1125, 1158, 1173, 1660, 5650, 1856, 16354, 1679, 1158, 16412, 1125, 488, 124, 132, 129, 129, 1188, 488, 124, 132, 130, 125, 121, 2576, 1121, 23247, 1299, 29693, 1215, 3699, 1248, 9115, 18424, 106, 106, 12289, 8918, 21154, 1382, 1617, 1299, 1158, 2404, 197, 3555, 15038, 11925, 27433, 2391, 1125, 1158, 13502, 1227, 1892, 16873, 6441, 1671, 186, 28719, 15945, 1819, 1125, 15293, 3004, 1140, 1256, 5613, 19085, 1167, 6175, 1199, 8673, 1408, 6525, 1125, 1198, 5364, 7348, 1256, 3335, 1183, 2181, 106, 106, 216, 25994, 1227, 1873, 3212, 2399, 18764, 488, 124, 129, 4153, 1167, 1281, 5971, 488, 129, 2247, 1300, 488, 124, 131, 15038, 1297, 106, 106, 151, 2038, 1197, 8470, 106, 106, 147, 15376, 1125, 8969, 106, 106, 20634, 1167, 5474, 488, 106, 106, 2330, 30181, 1125, 5613, 1136, 1651, 2159, 1125, 488, 124, 132, 129, 129, 106, 2330, 30181, 12260, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 106, 2330, 30181, 1186, 2720, 106, 27807, 10709, 9665, 1186, 488, 124, 132, 129, 129, 106, 27807, 9053, 1215, 10542, 158, 22628, 106, 27807, 9053, 1215, 26287, 17084, 7394, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 12289, 8918, 21154, 1382, 1617, 1299, 1318, 15038, 11925, 27433, 1215, 1158, 20926, 1632, 5964, 17426, 26213, 1202, 4910, 2726, 8969, 1186, 488, 127, 128, 17886, 1167, 3185, 488, 127, 128, 17886, 1186, 488, 124, 132, 129, 129, 121, 6053, 1158, 15038, 12260, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 488, 124, 132, 129, 129, 121, 106, 106, 216, 5613, 1136, 1651, 2159, 488, 106, 106, 12289, 8918, 21154, 1382, 1617, 1299, 1158, 15038, 4716, 1913, 5266, 11980, 1256, 25970, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 488, 124, 132, 129, 129, 1170, 488, 132, 2829, 1188, 13557, 8043, 1157, 3296, 106, 106, 3562, 15038, 1299, 22086, 1692, 11925, 27433, 1186, 15173, 14765, 1197, 15532, 11131, 1717, 1125, 1158, 1173, 1660, 5650, 1856, 16354, 1679, 1158, 16412, 1125, 488, 124, 132, 129, 129, 1188, 488, 124, 132, 130, 125, 121, 2576, 1121, 23247, 1299, 29693, 1215, 3699, 1248, 9115, 18424, 106, 106, 12289, 8918, 21154, 1382, 1617, 1299, 1158, 2404, 197, 3555, 15038, 11925, 27433, 2391, 1125, 1158, 13502, 1227, 1892, 16873, 6441, 1671, 186, 28719, 15945, 1819, 1125, 15293, 3004, 1140, 1256, 5613, 19085, 1167, 6175, 1199, 8673, 1408, 6525, 1125, 1198, 5364, 7348, 1256, 3335, 1183, 2181, 106, 106, 216, 25994, 1227, 1873, 3212, 2399, 18764, 488, 124, 129, 4153, 1167, 1281, 5971, 488, 129, 2247, 1300, 488, 124, 131, 15038, 1297, 106, 106, 151, 2038, 1197, 8470, 106, 106, 147, 15376, 1125, 8969, 106, 106, 20634, 1167, 5474, 488, 106, 106, 2330, 30181, 1125, 5613, 1136, 1651, 2159, 1125, 488, 124, 132, 129, 129, 106, 2330, 30181, 12260, 1158, 13111, 1317, 29370, 3116, 1651, 2159, 1125, 1158, 15038, 106, 2330, 30181, 1186, 2720, 106, 27807, 10709, 9665, 1186, 488, 124, 132, 129, 129, 106, 27807, 9053, 1215, 10542, 158, 22628, 106, 27807, 9053, 1215, 26287, 17084, 7394, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 14842, 29678, 244, 1259, 1345, 15021, 2357, 14232, 1188, 3281, 5445, 5200, 14058, 4379, 1203, 7243, 1429, 1317, 8579, 1170, 488, 124, 124, 3012, 488, 124, 131, 129, 124, 1167, 31591, 1170, 488, 125, 130, 2875, 488, 124, 132, 127, 126, 1188, 2801, 1175, 124, 130, 2247, 28077, 1496, 1299, 1318, 18866, 5964, 14994, 12870, 28355, 106, 106, 141, 11741, 106, 106, 224, 183, 4567, 1227, 4921, 1197, 12594, 1167, 8598, 1183, 4133, 1125, 13127, 2726, 1527, 22589, 1214, 2072, 1188, 19788, 1167, 4208, 7170, 21179, 19824, 1188, 12052, 10070, 1125, 10977, 1125, 17477, 2567, 1125, 17422, 1909, 8787, 1188, 2801, 1186, 488, 124, 131, 131, 129, 2585, 1527, 1299, 29139, 1125, 20714, 12898, 17185, 255, 4048, 23811, 120, 20853, 1167, 26045, 1548, 3849, 173, 193, 9770, 106, 106, 5164, 3391, 1212, 172, 1186, 488, 124, 131, 131, 131, 13680, 4076, 2100, 1918, 1276, 172, 20533, 1545, 1886, 2251, 1167, 1281, 6484, 9156, 1469, 2399, 1186, 13536, 18479, 1197, 2515, 21431, 1188, 18163, 7863, 1325, 15128, 1121, 1125, 17477, 1175, 124, 131, 132, 125, 1576, 31128, 1125, 1282, 19818, 11183, 1161, 4304, 18641, 1186, 488, 124, 131, 132, 125, 119, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 126, 119, 1527, 4783, 1164, 1154, 1186, 488, 124, 131, 132, 125, 1189, 18786, 1188, 2482, 4524, 121, 1768, 1251, 3014, 172, 1318, 3828, 13391, 1256, 1170, 25986, 1125, 6872, 16003, 173, 2721, 6229, 1822, 4524, 1576, 1808, 15021, 244, 27300, 3042, 1188, 2482, 4524, 1256, 1197, 8852, 13441, 1175, 2312, 2109, 19068, 11904, 1382, 2743, 15503, 25696, 1576, 106, 106, 1686, 488, 124, 132, 123, 123, 119, 12189, 1259, 1345, 15021, 244, 2595, 172, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1318, 1539, 2139, 1571, 10652, 1376, 7630, 1238, 2174, 2905, 2255, 1517, 121, 1867, 5464, 1188, 2482, 4524, 1186, 488, 124, 132, 123, 124, 119, 1207, 15021, 244, 2004, 1125, 6344, 4021, 1457, 12189, 1259, 1345, 28365, 2072, 1188, 31805, 29754, 12870, 3556, 1186, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 144, 1722, 1655, 3250, 9918, 1856, 2515, 1154, 1477, 17388, 1167, 11897, 3177, 12001, 1527, 28365, 1317, 21948, 1197, 14635, 2720, 4796, 488, 124, 131, 132, 128, 1167, 1251, 14882, 1318, 6216, 12886, 1364, 1186, 488, 124, 132, 126, 125, 1256, 1189, 18469, 1125, 1561, 5921, 12189, 1259, 1121, 2036, 1653, 488, 124, 132, 125, 132, 119, 1527, 1251, 2595, 172, 1158, 11344, 1643, 1222, 1129, 11885, 17966, 106, 106, 1686, 488, 124, 132, 124, 125, 119, 1170, 5495, 15021, 244, 7171, 1964, 3430, 8751, 1410, 1259, 10831, 1125, 1158, 14235, 2244, 1203, 1679, 121, 7546, 4094, 15021, 244, 19248, 3042, 24161, 1125, 1381, 4649, 121, 106, 106, 153, 3177, 14169, 2720, 1186, 488, 124, 132, 125, 126, 119, 12189, 1259, 1345, 15021, 244, 2985, 2072, 2205, 9918, 1856, 5235, 12001, 1186, 6564, 1125, 3699, 25428, 1204, 2538, 119, 1125, 8179, 1293, 4279, 1112, 1167, 1125, 11089, 1292, 2181, 106, 106, 5164, 1299, 14786, 11125, 1469, 1594, 16722, 1167, 1964, 5921, 1317, 30228, 1227, 24639, 1200, 1519, 1298, 2596, 106, 106, 141, 13449, 106, 106, 157, 1108, 244, 2605, 30590, 8157, 27505, 119, 29749, 3260, 11565, 1197, 14635, 8515, 18605, 19911, 488, 124, 119, 1192, 7480, 119, 8080, 1673, 2605, 1974, 119, 488, 124, 132, 126, 123, 119, 488, 106, 141, 1538, 19673, 6634, 488, 124, 132, 128, 128, 119, 488, 124, 132, 130, 129, 106, 144, 1586, 1869, 1125, 1248, 1531, 172, 1149, 5260, 152, 1783, 119, 7072, 28988, 15076, 1161, 1922, 16179, 1147, 17664, 488, 125, 123, 123, 126, 119, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8036, 1909, 14766, 1300, 8080, 4215, 106, 106, 15884, 1343, 1112, 5964, 1227, 23841, 6298, 106, 153, 3400, 1186, 3012, 488, 124, 131, 129, 124, 106, 153, 3400, 1317, 8579, 106, 31133, 1467, 1186, 2875, 488, 124, 132, 127, 126, 106, 31133, 1467, 1313, 1170, 488, 124, 130, 243, 28077, 1125, 2801, 106, 31133, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 32000, 20036, 106, 151, 14842, 29678, 244, 1259, 1345, 15021, 2357, 5252, 1188, 3281, 5445, 5200, 14058, 4379, 1203, 7243, 1429, 1317, 8579, 1170, 488, 124, 124, 3012, 488, 124, 131, 129, 124, 1167, 4541, 1170, 488, 125, 130, 2875, 488, 124, 132, 127, 126, 1188, 2801, 1175, 124, 130, 28077, 1496, 1299, 1189, 18866, 2720, 14994, 12870, 28355, 106, 106, 141, 11741, 106, 106, 224, 183, 4567, 1227, 4921, 1197, 12594, 1167, 8598, 1183, 4133, 1125, 13127, 2726, 1527, 22589, 1214, 2072, 1188, 19788, 1167, 19353, 21179, 19824, 1188, 12052, 10070, 1125, 10977, 1125, 17477, 2567, 1125, 17422, 1909, 8787, 1188, 2801, 1186, 488, 124, 131, 131, 129, 2585, 1527, 1299, 29139, 1125, 20714, 12898, 17185, 255, 4048, 23811, 120, 20853, 1167, 26045, 1548, 3849, 173, 193, 9770, 106, 106, 5164, 16722, 1186, 488, 124, 131, 131, 131, 13680, 4076, 2100, 1918, 1276, 172, 20533, 1545, 1886, 2251, 1167, 1281, 1844, 9156, 1469, 2399, 1186, 13536, 18479, 1197, 2515, 21431, 1188, 18163, 7863, 1325, 15128, 1121, 1125, 17477, 1175, 124, 131, 132, 125, 1576, 31128, 1125, 1282, 19818, 11183, 1161, 4304, 18641, 1186, 488, 124, 131, 132, 125, 119, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 126, 119, 1527, 20293, 1186, 488, 124, 131, 132, 125, 1189, 18786, 1188, 2482, 4524, 121, 1768, 1251, 18532, 1318, 3828, 13391, 1256, 1170, 25986, 1125, 6872, 16003, 173, 2721, 6229, 1822, 4524, 1576, 1808, 15021, 244, 27300, 3042, 1188, 2482, 4524, 1256, 1197, 8852, 13441, 1175, 2312, 2109, 19068, 11904, 1382, 2743, 15503, 25696, 1576, 106, 106, 1686, 488, 124, 132, 123, 123, 119, 12189, 1259, 1345, 15021, 244, 5004, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1318, 1539, 2139, 1571, 10652, 1376, 7630, 1238, 2174, 2905, 2255, 1517, 121, 1867, 5464, 1188, 2482, 4524, 1186, 488, 124, 132, 123, 124, 119, 1207, 15021, 244, 2004, 1125, 6344, 4021, 1457, 12189, 1259, 1345, 28365, 2072, 1188, 31805, 29754, 12870, 3556, 1186, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 144, 1722, 1655, 3250, 9918, 1856, 2515, 1154, 1477, 17388, 1167, 11897, 3177, 12001, 1527, 28365, 1317, 21948, 1197, 14635, 2720, 4796, 488, 124, 131, 132, 128, 1167, 1251, 14882, 1318, 6216, 12886, 1364, 1186, 488, 124, 132, 126, 125, 1256, 1189, 18469, 1125, 1561, 5921, 12189, 1259, 1121, 2036, 1653, 488, 124, 132, 125, 132, 119, 1527, 1251, 5004, 1158, 11344, 1643, 1222, 1129, 11885, 17966, 106, 106, 1686, 488, 124, 132, 124, 125, 119, 1170, 5495, 15021, 244, 7171, 1964, 3430, 8751, 1410, 1259, 10831, 1125, 1158, 14235, 2244, 1203, 1679, 121, 7546, 4094, 15021, 244, 19248, 3042, 24161, 1125, 6843, 9770, 106, 106, 153, 3177, 14169, 2720, 1186, 488, 124, 132, 125, 126, 119, 12189, 1259, 1345, 15021, 244, 2985, 2072, 2205, 9918, 1856, 5235, 12001, 1186, 6564, 1125, 3699, 25428, 1204, 2538, 119, 1125, 8179, 1293, 4279, 1112, 1167, 1125, 11089, 1292, 2181, 106, 106, 5164, 1299, 14786, 11125, 1469, 1594, 16722, 1167, 1964, 5921, 1317, 30228, 1227, 24639, 1200, 1519, 1298, 2596, 106, 106, 141, 13449, 106, 106, 157, 1108, 244, 2605, 30590, 8157, 27505, 119, 29749, 3260, 11565, 1197, 14635, 8515, 18605, 19911, 488, 124, 119, 1192, 7480, 119, 8080, 1673, 2605, 1974, 119, 488, 124, 132, 126, 123, 119, 488, 106, 141, 1538, 19673, 6634, 488, 124, 132, 128, 128, 119, 488, 124, 132, 130, 129, 106, 144, 1586, 1869, 1125, 1248, 1531, 172, 1149, 5260, 152, 1783, 119, 7072, 28988, 15076, 1161, 1922, 16179, 1147, 17664, 488, 125, 123, 123, 126, 119, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8036, 1909, 14766, 1300, 8080, 4215, 106, 106, 15884, 1343, 1112, 2720, 1227, 23841, 6298, 106, 153, 3400, 1186, 3012, 488, 124, 131, 129, 124, 106, 153, 3400, 1317, 8579, 106, 31133, 1467, 1186, 2875, 488, 124, 132, 127, 126, 106, 31133, 1467, 1313, 1170, 488, 124, 130, 176, 28077, 1125, 2801, 106, 31133, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 151, 14842, 29678, 244, 1259, 1345, 15021, 2357, 5252, 1188, 3281, 5445, 5200, 14058, 4379, 1203, 7243, 1429, 1317, 8579, 1170, 488, 124, 124, 3012, 488, 124, 131, 129, 124, 1167, 4541, 1170, 488, 125, 130, 2875, 488, 124, 132, 127, 126, 1188, 2801, 1175, 124, 130, 28077, 1496, 1299, 1189, 18866, 2720, 14994, 12870, 28355, 106, 106, 141, 11741, 106, 106, 224, 183, 4567, 1227, 4921, 1197, 12594, 1167, 8598, 1183, 4133, 1125, 13127, 2726, 1527, 22589, 1214, 2072, 1188, 19788, 1167, 19353, 21179, 19824, 1188, 12052, 10070, 1125, 10977, 1125, 17477, 2567, 1125, 17422, 1909, 8787, 1188, 2801, 1186, 488, 124, 131, 131, 129, 2585, 1527, 1299, 29139, 1125, 20714, 12898, 17185, 255, 4048, 23811, 120, 20853, 1167, 26045, 1548, 3849, 173, 193, 9770, 106, 106, 5164, 16722, 1186, 488, 124, 131, 131, 131, 13680, 4076, 2100, 1918, 1276, 172, 20533, 1545, 1886, 2251, 1167, 1281, 1844, 9156, 1469, 2399, 1186, 13536, 18479, 1197, 2515, 21431, 1188, 18163, 7863, 1325, 15128, 1121, 1125, 17477, 1175, 124, 131, 132, 125, 1576, 31128, 1125, 1282, 19818, 11183, 1161, 4304, 18641, 1186, 488, 124, 131, 132, 125, 119, 488, 124, 132, 123, 126, 1167, 488, 124, 132, 124, 126, 119, 1527, 20293, 1186, 488, 124, 131, 132, 125, 1189, 18786, 1188, 2482, 4524, 121, 1768, 1251, 18532, 1318, 3828, 13391, 1256, 1170, 25986, 1125, 6872, 16003, 173, 2721, 6229, 1822, 4524, 1576, 1808, 15021, 244, 27300, 3042, 1188, 2482, 4524, 1256, 1197, 8852, 13441, 1175, 2312, 2109, 19068, 11904, 1382, 2743, 15503, 25696, 1576, 106, 106, 1686, 488, 124, 132, 123, 123, 119, 12189, 1259, 1345, 15021, 244, 5004, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1318, 1539, 2139, 1571, 10652, 1376, 7630, 1238, 2174, 2905, 2255, 1517, 121, 1867, 5464, 1188, 2482, 4524, 1186, 488, 124, 132, 123, 124, 119, 1207, 15021, 244, 2004, 1125, 6344, 4021, 1457, 12189, 1259, 1345, 28365, 2072, 1188, 31805, 29754, 12870, 3556, 1186, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 124, 124, 121, 106, 106, 144, 1722, 1655, 3250, 9918, 1856, 2515, 1154, 1477, 17388, 1167, 11897, 3177, 12001, 1527, 28365, 1317, 21948, 1197, 14635, 2720, 4796, 488, 124, 131, 132, 128, 1167, 1251, 14882, 1318, 6216, 12886, 1364, 1186, 488, 124, 132, 126, 125, 1256, 1189, 18469, 1125, 1561, 5921, 12189, 1259, 1121, 2036, 1653, 488, 124, 132, 125, 132, 119, 1527, 1251, 5004, 1158, 11344, 1643, 1222, 1129, 11885, 17966, 106, 106, 1686, 488, 124, 132, 124, 125, 119, 1170, 5495, 15021, 244, 7171, 1964, 3430, 8751, 1410, 1259, 10831, 1125, 1158, 14235, 2244, 1203, 1679, 121, 7546, 4094, 15021, 244, 19248, 3042, 24161, 1125, 6843, 9770, 106, 106, 153, 3177, 14169, 2720, 1186, 488, 124, 132, 125, 126, 119, 12189, 1259, 1345, 15021, 244, 2985, 2072, 2205, 9918, 1856, 5235, 12001, 1186, 6564, 1125, 3699, 25428, 1204, 2538, 119, 1125, 8179, 1293, 4279, 1112, 1167, 1125, 11089, 1292, 2181, 106, 106, 5164, 1299, 14786, 11125, 1469, 1594, 16722, 1167, 1964, 5921, 1317, 30228, 1227, 24639, 1200, 1519, 1298, 2596, 106, 106, 141, 13449, 106, 106, 157, 1108, 244, 2605, 30590, 8157, 27505, 119, 29749, 3260, 11565, 1197, 14635, 8515, 18605, 19911, 488, 124, 119, 1192, 7480, 119, 8080, 1673, 2605, 1974, 119, 488, 124, 132, 126, 123, 119, 488, 106, 141, 1538, 19673, 6634, 488, 124, 132, 128, 128, 119, 488, 124, 132, 130, 129, 106, 144, 1586, 1869, 1125, 1248, 1531, 172, 1149, 5260, 152, 1783, 119, 7072, 28988, 15076, 1161, 1922, 16179, 1147, 17664, 488, 125, 123, 123, 126, 119, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8036, 1909, 14766, 1300, 8080, 4215, 106, 106, 15884, 1343, 1112, 2720, 1227, 23841, 6298, 106, 153, 3400, 1186, 3012, 488, 124, 131, 129, 124, 106, 153, 3400, 1317, 8579, 106, 31133, 1467, 1186, 2875, 488, 124, 132, 127, 126, 106, 31133, 1467, 1313, 1170, 488, 124, 130, 176, 28077, 1125, 2801, 106, 31133, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 1156, 1175, 1117, 1373, 5379, 1257, 1410, 6046, 3395, 1161, 4172, 1306, 2162, 1156, 116, 1299, 1318, 2760, 1126, 13900, 1125, 8128, 9485, 18078, 1188, 20024, 1186, 488, 124, 132, 123, 132, 121, 106, 106, 147, 15376, 106, 3562, 3643, 7159, 18078, 3413, 237, 1692, 1106, 237, 11164, 1410, 17488, 184, 1273, 12913, 3100, 1186, 2738, 488, 124, 132, 123, 132, 119, 2567, 9033, 14132, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 1186, 488, 124, 132, 124, 126, 121, 106, 106, 157, 1234, 11125, 106, 106, 224, 2527, 106, 106, 224, 2527, 1186, 9400, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1410, 17488, 184, 1273, 12913, 3100, 31282, 21671, 3725, 2738, 488, 124, 132, 123, 132, 121, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 119, 1189, 7674, 3523, 1410, 8332, 4532, 1165, 2086, 2482, 15671, 488, 124, 132, 124, 126, 121, 106, 106, 6535, 19297, 1186, 2720, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 2754, 14976, 1125, 7422, 14886, 19429, 1147, 2855, 1149, 17433, 21671, 7165, 106, 106, 158, 3249, 106, 22654, 2545, 1480, 2992, 1414, 3847, 1885, 6512, 13449, 106, 106, 10853, 106, 106, 153, 8040, 1125, 8128, 9485, 106, 153, 8040, 13900, 1215, 1277, 1186, 488, 124, 132, 123, 132, 32001, 488, 106, 32000, 20036, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 1156, 1175, 1117, 1373, 5379, 1257, 1410, 6046, 3395, 1161, 4172, 1306, 2162, 1156, 116, 1299, 1318, 3643, 13900, 1125, 8128, 9485, 18078, 1188, 20024, 1186, 488, 124, 132, 123, 132, 121, 106, 106, 147, 15376, 106, 3562, 3643, 1299, 18078, 27215, 1313, 1410, 17488, 184, 1273, 12913, 3100, 1186, 2738, 488, 124, 132, 123, 132, 119, 2567, 9033, 14132, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 1186, 488, 124, 132, 124, 126, 121, 106, 106, 157, 1234, 11125, 106, 106, 224, 2527, 106, 106, 224, 2527, 1186, 9400, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1410, 17488, 184, 1273, 12913, 3100, 31282, 21671, 3725, 2738, 488, 124, 132, 123, 132, 121, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 119, 1189, 7674, 3523, 1410, 8332, 4532, 1165, 2086, 2482, 15671, 488, 124, 132, 124, 126, 121, 106, 106, 6535, 19297, 1186, 2720, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 2754, 14976, 1125, 7422, 14886, 19429, 1147, 2855, 1149, 17433, 21671, 7165, 106, 106, 158, 3249, 106, 22654, 2545, 1480, 2992, 1414, 3847, 1885, 6512, 13449, 106, 106, 10853, 106, 106, 153, 8040, 1125, 8128, 9485, 106, 153, 8040, 13900, 1215, 1277, 1186, 488, 124, 132, 123, 132, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 1156, 1175, 1117, 1373, 5379, 1257, 1410, 6046, 3395, 1161, 4172, 1306, 2162, 1156, 116, 1299, 1318, 3643, 13900, 1125, 8128, 9485, 18078, 1188, 20024, 1186, 488, 124, 132, 123, 132, 121, 106, 106, 147, 15376, 106, 3562, 3643, 1299, 18078, 27215, 1313, 1410, 17488, 184, 1273, 12913, 3100, 1186, 2738, 488, 124, 132, 123, 132, 119, 2567, 9033, 14132, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 1186, 488, 124, 132, 124, 126, 121, 106, 106, 157, 1234, 11125, 106, 106, 224, 2527, 106, 106, 224, 2527, 1186, 9400, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1410, 17488, 184, 1273, 12913, 3100, 31282, 21671, 3725, 2738, 488, 124, 132, 123, 132, 121, 106, 1598, 6046, 3395, 1161, 4172, 1306, 2162, 2754, 1313, 1170, 27366, 1410, 15652, 3551, 2589, 119, 1189, 7674, 3523, 1410, 8332, 4532, 1165, 2086, 2482, 15671, 488, 124, 132, 124, 126, 121, 106, 106, 6535, 19297, 1186, 2720, 106, 3562, 1252, 26530, 1125, 4172, 1306, 2162, 2754, 14976, 1125, 7422, 14886, 19429, 1147, 2855, 1149, 17433, 21671, 7165, 106, 106, 158, 3249, 106, 22654, 2545, 1480, 2992, 1414, 3847, 1885, 6512, 13449, 106, 106, 10853, 106, 106, 153, 8040, 1125, 8128, 9485, 106, 153, 8040, 13900, 1215, 1277, 1186, 488, 124, 132, 123, 132, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 10156, 5700, 1293, 2395, 1180, 1299, 1318, 4685, 7993, 1974, 13870, 1731, 16512, 1186, 488, 124, 132, 127, 127, 1167, 20936, 1188, 6046, 1164, 14768, 3450, 1299, 19174, 1313, 1158, 8119, 1125, 9337, 8805, 1188, 1158, 27100, 4058, 1765, 20196, 1460, 3471, 1172, 2001, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 1496, 1158, 14580, 13753, 13870, 1731, 5867, 4807, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 116, 1362, 1317, 2854, 1638, 1416, 3589, 3511, 1262, 1504, 2462, 5755, 3354, 142, 2826, 157, 8757, 1417, 1154, 1158, 11886, 1474, 1293, 2395, 5160, 2063, 4762, 1493, 4180, 1186, 7945, 1455, 14381, 1146, 5160, 26166, 119, 488, 125, 126, 2798, 488, 125, 123, 123, 129, 18368, 2462, 137, 121, 106, 106, 15539, 1110, 8217, 1227, 10610, 1125, 1158, 10587, 1167, 1125, 12547, 5341, 24587, 1170, 1606, 8276, 3781, 1317, 6005, 2498, 20896, 5700, 16191, 1524, 16900, 6831, 2504, 1266, 1183, 13055, 1294, 1520, 3407, 1441, 173, 4520, 186, 11886, 1474, 14103, 15198, 1186, 14696, 1125, 2797, 1594, 5230, 2944, 1167, 1408, 18685, 1158, 7676, 13870, 1731, 26584, 24165, 2435, 1110, 1805, 1608, 244, 1170, 1606, 8276, 1188, 1158, 9853, 1167, 11473, 1197, 8787, 24165, 1524, 16900, 6831, 2504, 1110, 1158, 2969, 1642, 6930, 1251, 1106, 1221, 1153, 24323, 1125, 7974, 1299, 3324, 1180, 1455, 14381, 1146, 1180, 15198, 1504, 2462, 137, 1509, 3980, 1213, 3948, 20878, 5787, 121, 1213, 29248, 1104, 122, 1124, 17302, 14015, 3746, 122, 1342, 125, 132, 125, 126, 131, 130, 123, 121, 1337, 184, 1643, 11886, 1474, 1293, 2395, 1180, 1685, 1456, 176, 1871, 2046, 2504, 11078, 1642, 1156, 1217, 10665, 22710, 9177, 1125, 7572, 3324, 1180, 2324, 14381, 1146, 1180, 114, 1300, 16689, 121, 1104, 3882, 1877, 2462, 137, 121, 106, 106, 158, 1105, 8258, 20896, 5700, 30567, 1189, 18066, 1304, 4281, 1312, 25538, 2035, 2097, 1167, 1125, 6891, 30417, 488, 128, 132, 123, 123, 8470, 121, 17209, 1207, 1408, 23233, 15828, 1238, 1915, 25825, 1207, 18860, 3614, 1690, 1125, 10170, 1119, 3934, 1137, 2252, 1362, 1170, 24745, 1231, 5844, 1125, 1447, 186, 3981, 4071, 22710, 1172, 1125, 1918, 16330, 17561, 1109, 1657, 106, 106, 158, 1105, 8328, 1299, 25061, 27111, 6293, 1180, 1165, 2677, 4910, 2181, 1653, 488, 125, 123, 123, 129, 119, 1293, 2395, 1180, 1110, 1913, 1501, 1512, 1389, 1215, 1170, 3274, 1248, 141, 6687, 106, 106, 2908, 6995, 106, 17653, 2303, 8486, 1125, 5623, 1104, 1202, 1462, 1217, 4731, 17653, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 1125, 1158, 1139, 1277, 9269, 4236, 1407, 172, 24745, 174, 1231, 19309, 22611, 2497, 172, 1158, 11245, 17669, 1125, 22520, 7187, 1119, 236, 18303, 1120, 5623, 1104, 1666, 9080, 1125, 1158, 4236, 1407, 172, 1204, 11835, 2264, 1506, 119, 2129, 1156, 1217, 1266, 1277, 9269, 17653, 2303, 8486, 11825, 13096, 5245, 1306, 6094, 13096, 5245, 17028, 1180, 4297, 106, 106, 20634, 1167, 5474, 106, 106, 151, 1354, 16718, 106, 14005, 5700, 1293, 2395, 5160, 1865, 9229, 106, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 4297, 32001, 488, 106, 32000, 20036, 106, 114, 10156, 5700, 1293, 2395, 1180, 1299, 1318, 4685, 7993, 1974, 13870, 1731, 16512, 1186, 488, 124, 132, 127, 127, 1167, 20936, 1188, 19682, 121, 3450, 1299, 19174, 1313, 1158, 8119, 1125, 9337, 8805, 1188, 1158, 27100, 4058, 1765, 20196, 1460, 3471, 1172, 2001, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 1496, 1158, 14580, 13753, 13870, 1731, 5867, 4807, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 116, 1362, 1317, 2854, 1638, 1416, 3589, 3511, 1262, 135, 2462, 5755, 3354, 142, 2826, 157, 8757, 1417, 1154, 1158, 11886, 1474, 1293, 2395, 5160, 2063, 4762, 1493, 4180, 1186, 7945, 1455, 14381, 1146, 5160, 26166, 119, 488, 125, 126, 2798, 488, 125, 123, 123, 129, 18368, 2462, 137, 121, 106, 106, 15539, 1110, 8217, 1227, 10610, 1125, 1158, 10587, 1167, 1125, 12547, 5341, 24587, 1170, 1606, 8276, 3781, 1317, 6005, 2498, 20896, 5700, 16191, 1524, 16900, 6831, 2504, 1266, 1183, 13055, 1294, 1520, 3407, 1441, 173, 4520, 186, 11886, 1474, 14103, 15198, 1186, 14696, 1125, 2797, 1594, 5230, 2944, 1167, 1408, 18685, 1158, 7676, 13870, 1731, 26584, 24165, 2435, 1110, 1805, 1608, 244, 1170, 1606, 8276, 1188, 1158, 9853, 1167, 11473, 1197, 8787, 24165, 1524, 16900, 155, 3049, 2504, 1110, 1158, 2969, 1642, 6930, 1251, 1106, 1221, 1153, 24323, 1125, 7974, 1299, 3324, 1180, 1455, 14381, 1146, 1180, 214, 116, 135, 2462, 137, 1509, 3980, 1213, 3948, 20878, 5787, 121, 1213, 29248, 1104, 122, 1124, 17302, 14015, 3746, 122, 1342, 125, 132, 125, 126, 131, 130, 123, 121, 1337, 184, 1643, 11886, 1474, 1293, 2395, 1180, 1685, 1456, 176, 1871, 2046, 2504, 11078, 1642, 1156, 1217, 10665, 22710, 9177, 1125, 7572, 3324, 1180, 2324, 14381, 1146, 1180, 114, 1300, 16689, 121, 1104, 3882, 1877, 2462, 137, 121, 106, 106, 158, 1105, 8258, 20896, 5700, 30567, 1189, 18066, 1304, 4281, 1312, 25538, 2035, 2097, 1167, 1125, 6891, 30417, 488, 128, 132, 123, 123, 8470, 121, 17209, 1207, 1408, 23233, 15828, 1238, 1915, 25825, 1207, 18860, 3614, 1690, 1125, 10170, 1119, 3934, 1137, 2252, 1362, 1170, 24745, 174, 1231, 5844, 1125, 1447, 186, 3981, 4071, 22710, 1172, 1125, 1918, 16330, 17561, 1109, 1657, 106, 106, 158, 1105, 8328, 1299, 25061, 27111, 6293, 1180, 1165, 2677, 4910, 2181, 1653, 488, 125, 123, 123, 129, 119, 1293, 2395, 1180, 1110, 1913, 1501, 1512, 1389, 1215, 1170, 3274, 1248, 141, 6687, 106, 106, 2908, 6995, 488, 106, 17653, 2303, 8486, 1125, 5623, 1104, 1202, 1462, 1217, 4731, 17653, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 1125, 1158, 1139, 1277, 9269, 4236, 1407, 172, 24745, 174, 1231, 19309, 22611, 2497, 172, 1158, 11245, 17669, 1125, 22520, 7187, 1119, 236, 18303, 1120, 5623, 1104, 1666, 9080, 1125, 1158, 4236, 1407, 172, 1204, 11835, 2264, 1506, 119, 2129, 1156, 1217, 1266, 1277, 9269, 17653, 2303, 8486, 11825, 13096, 5245, 1306, 6094, 13096, 5245, 17028, 1180, 4297, 106, 106, 20634, 1167, 5474, 106, 106, 151, 1354, 16718, 488, 106, 14005, 5700, 1293, 2395, 5160, 1865, 9229, 106, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 10156, 5700, 1293, 2395, 1180, 1299, 1318, 4685, 7993, 1974, 13870, 1731, 16512, 1186, 488, 124, 132, 127, 127, 1167, 20936, 1188, 19682, 121, 3450, 1299, 19174, 1313, 1158, 8119, 1125, 9337, 8805, 1188, 1158, 27100, 4058, 1765, 20196, 1460, 3471, 1172, 2001, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 1496, 1158, 14580, 13753, 13870, 1731, 5867, 4807, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 116, 1362, 1317, 2854, 1638, 1416, 3589, 3511, 1262, 135, 2462, 5755, 3354, 142, 2826, 157, 8757, 1417, 1154, 1158, 11886, 1474, 1293, 2395, 5160, 2063, 4762, 1493, 4180, 1186, 7945, 1455, 14381, 1146, 5160, 26166, 119, 488, 125, 126, 2798, 488, 125, 123, 123, 129, 18368, 2462, 137, 121, 106, 106, 15539, 1110, 8217, 1227, 10610, 1125, 1158, 10587, 1167, 1125, 12547, 5341, 24587, 1170, 1606, 8276, 3781, 1317, 6005, 2498, 20896, 5700, 16191, 1524, 16900, 6831, 2504, 1266, 1183, 13055, 1294, 1520, 3407, 1441, 173, 4520, 186, 11886, 1474, 14103, 15198, 1186, 14696, 1125, 2797, 1594, 5230, 2944, 1167, 1408, 18685, 1158, 7676, 13870, 1731, 26584, 24165, 2435, 1110, 1805, 1608, 244, 1170, 1606, 8276, 1188, 1158, 9853, 1167, 11473, 1197, 8787, 24165, 1524, 16900, 155, 3049, 2504, 1110, 1158, 2969, 1642, 6930, 1251, 1106, 1221, 1153, 24323, 1125, 7974, 1299, 3324, 1180, 1455, 14381, 1146, 1180, 214, 116, 135, 2462, 137, 1509, 3980, 1213, 3948, 20878, 5787, 121, 1213, 29248, 1104, 122, 1124, 17302, 14015, 3746, 122, 1342, 125, 132, 125, 126, 131, 130, 123, 121, 1337, 184, 1643, 11886, 1474, 1293, 2395, 1180, 1685, 1456, 176, 1871, 2046, 2504, 11078, 1642, 1156, 1217, 10665, 22710, 9177, 1125, 7572, 3324, 1180, 2324, 14381, 1146, 1180, 114, 1300, 16689, 121, 1104, 3882, 1877, 2462, 137, 121, 106, 106, 158, 1105, 8258, 20896, 5700, 30567, 1189, 18066, 1304, 4281, 1312, 25538, 2035, 2097, 1167, 1125, 6891, 30417, 488, 128, 132, 123, 123, 8470, 121, 17209, 1207, 1408, 23233, 15828, 1238, 1915, 25825, 1207, 18860, 3614, 1690, 1125, 10170, 1119, 3934, 1137, 2252, 1362, 1170, 24745, 174, 1231, 5844, 1125, 1447, 186, 3981, 4071, 22710, 1172, 1125, 1918, 16330, 17561, 1109, 1657, 106, 106, 158, 1105, 8328, 1299, 25061, 27111, 6293, 1180, 1165, 2677, 4910, 2181, 1653, 488, 125, 123, 123, 129, 119, 1293, 2395, 1180, 1110, 1913, 1501, 1512, 1389, 1215, 1170, 3274, 1248, 141, 6687, 106, 106, 2908, 6995, 488, 106, 17653, 2303, 8486, 1125, 5623, 1104, 1202, 1462, 1217, 4731, 17653, 2303, 8486, 1233, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 2324, 14381, 5245, 1293, 2395, 1180, 17653, 2303, 8486, 1125, 1158, 1139, 1277, 9269, 4236, 1407, 172, 24745, 174, 1231, 19309, 22611, 2497, 172, 1158, 11245, 17669, 1125, 22520, 7187, 1119, 236, 18303, 1120, 5623, 1104, 1666, 9080, 1125, 1158, 4236, 1407, 172, 1204, 11835, 2264, 1506, 119, 2129, 1156, 1217, 1266, 1277, 9269, 17653, 2303, 8486, 11825, 13096, 5245, 1306, 6094, 13096, 5245, 17028, 1180, 4297, 106, 106, 20634, 1167, 5474, 106, 106, 151, 1354, 16718, 488, 106, 14005, 5700, 1293, 2395, 5160, 1865, 9229, 106, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 106, 146, 2395, 1180, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 24864, 1124, 1558, 13607, 1762, 5252, 1170, 488, 125, 131, 2798, 488, 124, 132, 132, 129, 1188, 1233, 3465, 20104, 1186, 1645, 14691, 2944, 1299, 1189, 4981, 24981, 4344, 5363, 174, 1262, 1357, 28160, 1317, 8536, 1304, 1478, 1374, 8632, 1188, 2068, 7480, 191, 1533, 172, 188, 13054, 121, 1768, 11358, 2445, 1158, 3624, 1902, 11181, 7165, 106, 106, 141, 11741, 106, 106, 1686, 5878, 106, 106, 141, 3465, 20104, 5407, 6102, 244, 1188, 1233, 3465, 20104, 21470, 6411, 1124, 1558, 1293, 2091, 24844, 1594, 3151, 3904, 1469, 10796, 3453, 1170, 488, 126, 2822, 488, 125, 123, 124, 126, 2714, 11330, 17928, 1186, 1222, 125, 30831, 9321, 1146, 8648, 488, 127, 120, 123, 1496, 1527, 1299, 3042, 11391, 244, 1125, 8826, 9188, 1595, 8793, 1548, 488, 132, 2584, 2419, 2851, 1527, 12368, 1594, 3151, 5234, 5843, 1469, 1207, 2893, 21226, 1548, 488, 125, 123, 31318, 1293, 2091, 6252, 1594, 3151, 1663, 1317, 4041, 5843, 3691, 1188, 6597, 31604, 121, 1233, 3465, 20104, 2368, 3720, 1314, 11103, 488, 125, 120, 127, 121, 106, 106, 2524, 8317, 12456, 2391, 1125, 1158, 6586, 2419, 7352, 1527, 5909, 1910, 1188, 5397, 2009, 8687, 22206, 20825, 1125, 16277, 1167, 8827, 4593, 1663, 1297, 106, 106, 2606, 1146, 6190, 5407, 1548, 488, 126, 124, 2749, 488, 125, 123, 124, 129, 119, 1293, 2091, 2368, 14189, 1256, 5999, 2165, 1167, 11028, 1469, 1548, 1146, 6190, 5407, 121, 19477, 3617, 1408, 14429, 1527, 1844, 1909, 28407, 2290, 1170, 1423, 26170, 1197, 18405, 1104, 3691, 1188, 1198, 22936, 5523, 9372, 2145, 1136, 1186, 11609, 12412, 19394, 1175, 125, 120, 125, 1576, 1548, 488, 129, 18802, 20575, 1527, 1835, 1186, 5047, 1256, 1158, 3453, 2768, 1186, 11824, 11859, 2714, 15701, 1105, 27982, 1175, 124, 120, 124, 1576, 8785, 1203, 5202, 1294, 8694, 1186, 9640, 3247, 1125, 29692, 6411, 1124, 1558, 1293, 2091, 13300, 1188, 22542, 13656, 1125, 11824, 11859, 1469, 1548, 1146, 6190, 21470, 6172, 1568, 14045, 12412, 14691, 9770, 106, 106, 2606, 488, 125, 130, 31540, 1170, 8007, 9400, 24844, 1561, 3453, 6666, 1125, 15696, 1197, 27712, 3691, 1317, 13054, 3261, 1839, 1104, 9321, 1146, 8648, 488, 123, 120, 126, 1576, 1548, 488, 125, 127, 1227, 2076, 12739, 1527, 8827, 1594, 3151, 1663, 1313, 21524, 1286, 30831, 1300, 1170, 9108, 1125, 25623, 4909, 121, 1548, 5878, 1125, 1548, 1146, 6190, 2368, 3720, 1314, 11103, 488, 127, 120, 124, 121, 106, 106, 141, 4604, 1548, 1263, 182, 1153, 1108, 4897, 2300, 244, 1317, 1233, 4604, 1548, 1263, 182, 1153, 1108, 1170, 488, 126, 124, 2749, 488, 125, 123, 125, 124, 119, 1293, 2091, 1288, 4933, 1309, 4593, 2879, 1186, 14345, 11438, 7542, 11786, 1527, 8827, 5125, 1189, 1663, 1186, 22542, 3904, 1297, 106, 106, 144, 1263, 2333, 13054, 1548, 488, 125, 125, 2921, 488, 125, 123, 125, 124, 119, 6411, 1124, 1558, 1293, 2091, 2368, 14189, 1256, 3203, 2165, 14877, 1318, 16934, 5910, 1186, 3856, 116, 1469, 5613, 1263, 2333, 13054, 121, 106, 106, 1686, 5266, 1548, 488, 125, 132, 2829, 488, 125, 123, 124, 129, 119, 1293, 2091, 1844, 1909, 28407, 1469, 10796, 12412, 19394, 4071, 12959, 2391, 2335, 3904, 2714, 1158, 13111, 1175, 124, 120, 124, 1576, 106, 106, 1686, 488, 125, 123, 124, 130, 119, 1527, 8827, 2069, 25460, 2391, 1227, 26389, 22572, 4071, 1445, 1297, 106, 106, 2606, 488, 129, 2798, 488, 125, 123, 124, 132, 119, 1527, 1844, 3247, 1197, 11400, 3440, 2607, 12012, 5266, 14006, 1256, 10848, 1188, 5613, 22887, 4071, 12959, 488, 125, 123, 124, 132, 1469, 10796, 12412, 14691, 9770, 106, 106, 5164, 1299, 13348, 1256, 1158, 3453, 2768, 1469, 10796, 1125, 1321, 5224, 250, 1244, 1188, 15466, 1125, 1158, 9106, 13121, 488, 125, 123, 125, 126, 121, 106, 106, 2003, 12224, 106, 106, 155, 26361, 106, 106, 1686, 5878, 1548, 1146, 6190, 5407, 22672, 12412, 19394, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 28870, 5825, 13320, 24981, 9400, 1321, 12590, 1227, 1233, 3465, 20104, 5407, 13054, 1321, 12590, 1227, 1548, 1146, 6190, 5407, 13054, 1321, 12590, 1227, 1233, 4604, 1548, 1263, 182, 1153, 1108, 1321, 12590, 1125, 5613, 1263, 2333, 13054, 1321, 12590, 1125, 27542, 7480, 191, 1533, 172, 188, 13054, 1266, 3400, 1186, 2798, 488, 124, 132, 132, 129, 1266, 3400, 1188, 1233, 3465, 20104, 121, 488, 32001, 488, 106, 32000, 20036, 106, 114, 24864, 1124, 1558, 6410, 1762, 5252, 1170, 488, 125, 131, 2798, 488, 124, 132, 132, 129, 1188, 1233, 3465, 20104, 1186, 1645, 14691, 2944, 1299, 1189, 4981, 24981, 4344, 5363, 174, 1262, 1357, 28160, 1317, 8536, 1304, 1478, 1374, 8632, 1188, 2068, 7480, 191, 1533, 172, 188, 13054, 121, 1768, 11358, 2445, 1158, 3624, 1902, 11181, 7165, 106, 106, 141, 11741, 106, 106, 1686, 5878, 106, 106, 141, 3465, 20104, 5407, 106, 4499, 244, 1188, 1233, 3465, 20104, 21470, 6411, 1124, 1558, 1293, 2091, 24844, 1594, 3151, 3904, 1469, 10796, 3453, 1170, 488, 126, 2822, 488, 125, 123, 124, 126, 2714, 11330, 17928, 1186, 1222, 125, 30831, 9321, 1146, 8648, 488, 127, 120, 123, 1496, 1527, 1299, 3042, 11391, 244, 1125, 8826, 9188, 1595, 8793, 1548, 488, 132, 2584, 2419, 2851, 1527, 12368, 1594, 3151, 5234, 5843, 1469, 1207, 2893, 21226, 1548, 488, 125, 123, 31318, 1293, 2091, 6252, 1594, 3151, 1663, 1317, 4041, 5843, 3691, 1188, 6597, 31604, 121, 1233, 3465, 20104, 2368, 3720, 1314, 11103, 488, 125, 120, 127, 121, 106, 106, 2524, 8317, 12456, 2391, 1125, 1158, 6586, 2419, 7352, 1527, 5909, 1910, 1188, 5397, 2009, 8687, 22206, 20825, 1125, 16277, 1167, 8827, 4593, 1663, 1297, 106, 106, 2606, 1146, 6190, 5407, 106, 2606, 488, 126, 124, 2749, 488, 125, 123, 124, 129, 119, 1293, 2091, 2368, 14189, 1256, 5999, 2165, 1167, 11028, 1469, 1548, 1146, 6190, 5407, 121, 19477, 3617, 1408, 14429, 1527, 1844, 1909, 28407, 2290, 1170, 1423, 26170, 1197, 18405, 1104, 3691, 1188, 1198, 22936, 5523, 9372, 2145, 1136, 1186, 11609, 12412, 19394, 1175, 125, 120, 125, 1576, 1548, 488, 129, 18802, 20575, 1527, 1835, 1186, 5047, 1256, 1158, 3453, 2768, 1186, 11824, 11859, 2714, 15701, 1105, 27982, 1175, 124, 120, 124, 1576, 8785, 1203, 5202, 1294, 8694, 1186, 9640, 3247, 1125, 29692, 6411, 1124, 1558, 1293, 2091, 13300, 1188, 22542, 13656, 1125, 11824, 11859, 1469, 1548, 1146, 6190, 21470, 6172, 1568, 14045, 12412, 14691, 9770, 106, 106, 2606, 488, 125, 130, 31540, 1170, 8007, 9400, 24844, 1561, 3453, 6666, 1125, 15696, 1197, 27712, 3691, 1317, 13054, 3261, 1839, 1104, 9321, 1146, 8648, 488, 123, 120, 126, 1576, 1548, 488, 125, 127, 1227, 2076, 12739, 1527, 8827, 1594, 3151, 1663, 1313, 21524, 1286, 30831, 1300, 1170, 9108, 1125, 25623, 4909, 121, 1548, 5878, 1125, 1548, 1146, 6190, 2368, 3720, 1314, 11103, 488, 127, 120, 124, 121, 106, 106, 141, 4604, 1548, 1263, 182, 1153, 1108, 106, 5330, 2300, 244, 1317, 1233, 4604, 1548, 1263, 182, 1153, 1108, 1170, 488, 126, 124, 2749, 488, 125, 123, 125, 124, 119, 1293, 2091, 1288, 4933, 1309, 4593, 2879, 1186, 14345, 11438, 7542, 11786, 1527, 8827, 5125, 1189, 1663, 1186, 22542, 3904, 1297, 106, 106, 144, 1263, 2333, 13054, 106, 2606, 488, 125, 125, 2921, 488, 125, 123, 125, 124, 119, 6411, 1124, 1558, 1293, 2091, 2368, 14189, 1256, 3203, 2165, 14877, 1318, 16934, 5910, 1186, 3856, 116, 1469, 5613, 1263, 2333, 13054, 121, 106, 106, 1686, 5266, 106, 2606, 488, 125, 132, 2829, 488, 125, 123, 124, 129, 119, 1293, 2091, 1844, 1909, 28407, 1469, 10796, 12412, 19394, 4071, 12959, 2391, 2335, 3904, 2714, 1158, 13111, 1175, 124, 120, 124, 1576, 106, 106, 1686, 488, 125, 123, 124, 130, 119, 1527, 8827, 2069, 25460, 2391, 1227, 26389, 22572, 4071, 1445, 1297, 106, 106, 2606, 488, 129, 2798, 488, 125, 123, 124, 132, 119, 1527, 1844, 3247, 1197, 11400, 3440, 2607, 12012, 5266, 14006, 1256, 10848, 1188, 5613, 22887, 4071, 12959, 488, 125, 123, 124, 132, 1469, 10796, 12412, 14691, 9770, 106, 106, 5164, 1299, 13348, 1256, 1158, 3453, 2768, 1469, 10796, 1125, 1321, 5224, 250, 1244, 1188, 15466, 1125, 1158, 9106, 13121, 488, 125, 123, 125, 126, 121, 106, 106, 2003, 12224, 106, 106, 155, 26361, 106, 106, 1686, 5878, 106, 2606, 1146, 6190, 5407, 106, 2330, 1916, 1231, 12412, 19394, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 145, 2836, 24981, 9400, 106, 149, 12590, 1227, 1233, 3465, 20104, 5407, 13054, 106, 149, 12590, 1227, 1548, 1146, 6190, 5407, 13054, 106, 149, 12590, 1227, 1233, 4604, 1548, 1263, 182, 1153, 1108, 106, 149, 12590, 1125, 5613, 1263, 2333, 13054, 106, 149, 12590, 1125, 27542, 7480, 191, 1533, 172, 188, 13054, 106, 153, 3400, 1186, 2798, 488, 124, 132, 132, 129, 106, 153, 3400, 1188, 1233, 3465, 20104, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 24864, 1124, 1558, 6410, 1762, 5252, 1170, 488, 125, 131, 2798, 488, 124, 132, 132, 129, 1188, 1233, 3465, 20104, 1186, 1645, 14691, 2944, 1299, 1189, 4981, 24981, 4344, 5363, 174, 1262, 1357, 28160, 1317, 8536, 1304, 1478, 1374, 8632, 1188, 2068, 7480, 191, 1533, 172, 188, 13054, 121, 1768, 11358, 2445, 1158, 3624, 1902, 11181, 7165, 106, 106, 141, 11741, 106, 106, 1686, 5878, 106, 106, 141, 3465, 20104, 5407, 106, 4499, 244, 1188, 1233, 3465, 20104, 21470, 6411, 1124, 1558, 1293, 2091, 24844, 1594, 3151, 3904, 1469, 10796, 3453, 1170, 488, 126, 2822, 488, 125, 123, 124, 126, 2714, 11330, 17928, 1186, 1222, 125, 30831, 9321, 1146, 8648, 488, 127, 120, 123, 1496, 1527, 1299, 3042, 11391, 244, 1125, 8826, 9188, 1595, 8793, 1548, 488, 132, 2584, 2419, 2851, 1527, 12368, 1594, 3151, 5234, 5843, 1469, 1207, 2893, 21226, 1548, 488, 125, 123, 31318, 1293, 2091, 6252, 1594, 3151, 1663, 1317, 4041, 5843, 3691, 1188, 6597, 31604, 121, 1233, 3465, 20104, 2368, 3720, 1314, 11103, 488, 125, 120, 127, 121, 106, 106, 2524, 8317, 12456, 2391, 1125, 1158, 6586, 2419, 7352, 1527, 5909, 1910, 1188, 5397, 2009, 8687, 22206, 20825, 1125, 16277, 1167, 8827, 4593, 1663, 1297, 106, 106, 2606, 1146, 6190, 5407, 106, 2606, 488, 126, 124, 2749, 488, 125, 123, 124, 129, 119, 1293, 2091, 2368, 14189, 1256, 5999, 2165, 1167, 11028, 1469, 1548, 1146, 6190, 5407, 121, 19477, 3617, 1408, 14429, 1527, 1844, 1909, 28407, 2290, 1170, 1423, 26170, 1197, 18405, 1104, 3691, 1188, 1198, 22936, 5523, 9372, 2145, 1136, 1186, 11609, 12412, 19394, 1175, 125, 120, 125, 1576, 1548, 488, 129, 18802, 20575, 1527, 1835, 1186, 5047, 1256, 1158, 3453, 2768, 1186, 11824, 11859, 2714, 15701, 1105, 27982, 1175, 124, 120, 124, 1576, 8785, 1203, 5202, 1294, 8694, 1186, 9640, 3247, 1125, 29692, 6411, 1124, 1558, 1293, 2091, 13300, 1188, 22542, 13656, 1125, 11824, 11859, 1469, 1548, 1146, 6190, 21470, 6172, 1568, 14045, 12412, 14691, 9770, 106, 106, 2606, 488, 125, 130, 31540, 1170, 8007, 9400, 24844, 1561, 3453, 6666, 1125, 15696, 1197, 27712, 3691, 1317, 13054, 3261, 1839, 1104, 9321, 1146, 8648, 488, 123, 120, 126, 1576, 1548, 488, 125, 127, 1227, 2076, 12739, 1527, 8827, 1594, 3151, 1663, 1313, 21524, 1286, 30831, 1300, 1170, 9108, 1125, 25623, 4909, 121, 1548, 5878, 1125, 1548, 1146, 6190, 2368, 3720, 1314, 11103, 488, 127, 120, 124, 121, 106, 106, 141, 4604, 1548, 1263, 182, 1153, 1108, 106, 5330, 2300, 244, 1317, 1233, 4604, 1548, 1263, 182, 1153, 1108, 1170, 488, 126, 124, 2749, 488, 125, 123, 125, 124, 119, 1293, 2091, 1288, 4933, 1309, 4593, 2879, 1186, 14345, 11438, 7542, 11786, 1527, 8827, 5125, 1189, 1663, 1186, 22542, 3904, 1297, 106, 106, 144, 1263, 2333, 13054, 106, 2606, 488, 125, 125, 2921, 488, 125, 123, 125, 124, 119, 6411, 1124, 1558, 1293, 2091, 2368, 14189, 1256, 3203, 2165, 14877, 1318, 16934, 5910, 1186, 3856, 116, 1469, 5613, 1263, 2333, 13054, 121, 106, 106, 1686, 5266, 106, 2606, 488, 125, 132, 2829, 488, 125, 123, 124, 129, 119, 1293, 2091, 1844, 1909, 28407, 1469, 10796, 12412, 19394, 4071, 12959, 2391, 2335, 3904, 2714, 1158, 13111, 1175, 124, 120, 124, 1576, 106, 106, 1686, 488, 125, 123, 124, 130, 119, 1527, 8827, 2069, 25460, 2391, 1227, 26389, 22572, 4071, 1445, 1297, 106, 106, 2606, 488, 129, 2798, 488, 125, 123, 124, 132, 119, 1527, 1844, 3247, 1197, 11400, 3440, 2607, 12012, 5266, 14006, 1256, 10848, 1188, 5613, 22887, 4071, 12959, 488, 125, 123, 124, 132, 1469, 10796, 12412, 14691, 9770, 106, 106, 5164, 1299, 13348, 1256, 1158, 3453, 2768, 1469, 10796, 1125, 1321, 5224, 250, 1244, 1188, 15466, 1125, 1158, 9106, 13121, 488, 125, 123, 125, 126, 121, 106, 106, 2003, 12224, 106, 106, 155, 26361, 106, 106, 1686, 5878, 106, 2606, 1146, 6190, 5407, 106, 2330, 1916, 1231, 12412, 19394, 1186, 488, 125, 123, 124, 129, 121, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 145, 2836, 24981, 9400, 106, 149, 12590, 1227, 1233, 3465, 20104, 5407, 13054, 106, 149, 12590, 1227, 1548, 1146, 6190, 5407, 13054, 106, 149, 12590, 1227, 1233, 4604, 1548, 1263, 182, 1153, 1108, 106, 149, 12590, 1125, 5613, 1263, 2333, 13054, 106, 149, 12590, 1125, 27542, 7480, 191, 1533, 172, 188, 13054, 106, 153, 3400, 1186, 2798, 488, 124, 132, 132, 129, 106, 153, 3400, 1188, 1233, 3465, 20104, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 5820, 7358, 2340, 1299, 1189, 8401, 1227, 488, 124, 124, 2247, 28077, 1125, 6721, 1186, 12350, 106, 106, 158, 1123, 10878, 1167, 8139, 106, 3562, 5820, 7358, 2340, 1299, 1318, 8401, 5956, 8446, 1313, 1170, 488, 124, 124, 2247, 28077, 1125, 18994, 3450, 8718, 1317, 488, 126, 125, 119, 3358, 21290, 10290, 4101, 1108, 1445, 1167, 1281, 20235, 1317, 488, 128, 119, 5820, 7752, 4364, 106, 106, 17696, 1314, 1227, 1874, 106, 106, 15539, 4665, 1170, 1874, 1227, 13970, 1253, 173, 1538, 2038, 15558, 120, 7914, 1328, 7358, 2340, 1175, 124, 129, 127, 125, 120, 124, 130, 126, 125, 1576, 106, 106, 147, 15376, 106, 142, 1567, 1177, 3955, 15425, 1215, 7918, 1227, 488, 132, 9516, 2035, 180, 1369, 1151, 2271, 1175, 126, 123, 2875, 488, 124, 131, 123, 124, 1496, 1110, 4766, 1215, 7918, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 1170, 1874, 1125, 1606, 5820, 7358, 1126, 1524, 31924, 1146, 3882, 106, 31133, 2360, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 106, 106, 15539, 5909, 1561, 7576, 1137, 3315, 18183, 1215, 1189, 9829, 1227, 488, 127, 3201, 488, 124, 131, 131, 123, 2585, 1282, 3036, 12987, 1227, 1874, 2985, 3137, 180, 2806, 15695, 1199, 1158, 1606, 5820, 7358, 2340, 1524, 17877, 488, 125, 1606, 1115, 1524, 1576, 106, 106, 10853, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 151, 2038, 1197, 18122, 1227, 488, 124, 124, 2247, 28077, 1125, 2801, 106, 106, 28870, 5825, 106, 157, 1277, 7358, 1126, 4880, 1558, 2348, 1125, 2801, 116, 106, 106, 141, 1118, 2340, 106, 141, 1118, 2340, 32001, 488, 106, 32000, 20036, 106, 3562, 5820, 7358, 2340, 1299, 1318, 8401, 1227, 488, 124, 124, 176, 28077, 1125, 6721, 1186, 12350, 106, 106, 158, 1123, 10878, 1167, 8139, 488, 106, 3562, 5820, 7358, 2340, 1299, 1318, 8401, 5956, 10019, 1313, 1170, 488, 124, 124, 176, 28077, 1125, 18994, 3450, 28995, 1317, 488, 126, 125, 119, 3358, 21290, 10290, 4101, 1108, 1445, 1167, 1281, 20235, 1317, 488, 128, 119, 5820, 7752, 4364, 106, 106, 17696, 1314, 1227, 1874, 488, 106, 106, 15539, 4665, 1170, 1874, 1227, 13970, 1253, 173, 1538, 2038, 15558, 120, 7914, 1328, 7358, 2340, 1175, 124, 129, 127, 125, 120, 124, 130, 126, 125, 1576, 106, 106, 147, 15376, 488, 106, 142, 1567, 1177, 3955, 15425, 1215, 7918, 1227, 488, 132, 9516, 2035, 180, 1369, 1151, 2271, 1175, 126, 123, 2875, 488, 124, 131, 123, 124, 1496, 1110, 4766, 1215, 7918, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 1170, 1874, 1125, 1606, 5820, 7358, 1126, 1524, 31924, 1146, 3882, 106, 31133, 2360, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 106, 106, 15539, 5909, 1561, 7576, 1137, 3315, 14785, 1215, 1189, 9829, 1227, 488, 127, 3201, 488, 124, 131, 131, 123, 2585, 1282, 3036, 12987, 1227, 1874, 2985, 3137, 180, 2806, 15695, 1199, 1158, 1606, 5820, 7358, 2340, 1524, 17877, 488, 125, 1606, 1115, 1524, 1576, 106, 106, 10853, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 18122, 1227, 488, 124, 124, 176, 28077, 1125, 2801, 106, 106, 28870, 5825, 488, 106, 18259, 7358, 2340, 4880, 1558, 2348, 1125, 2801, 116, 106, 106, 141, 1118, 2340, 106, 141, 1118, 2340, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 5820, 7358, 2340, 1299, 1318, 8401, 1227, 488, 124, 124, 176, 28077, 1125, 6721, 1186, 12350, 106, 106, 158, 1123, 10878, 1167, 8139, 488, 106, 3562, 5820, 7358, 2340, 1299, 1318, 8401, 5956, 10019, 1313, 1170, 488, 124, 124, 176, 28077, 1125, 18994, 3450, 28995, 1317, 488, 126, 125, 119, 3358, 21290, 10290, 4101, 1108, 1445, 1167, 1281, 20235, 1317, 488, 128, 119, 5820, 7752, 4364, 106, 106, 17696, 1314, 1227, 1874, 488, 106, 106, 15539, 4665, 1170, 1874, 1227, 13970, 1253, 173, 1538, 2038, 15558, 120, 7914, 1328, 7358, 2340, 1175, 124, 129, 127, 125, 120, 124, 130, 126, 125, 1576, 106, 106, 147, 15376, 488, 106, 142, 1567, 1177, 3955, 15425, 1215, 7918, 1227, 488, 132, 9516, 2035, 180, 1369, 1151, 2271, 1175, 126, 123, 2875, 488, 124, 131, 123, 124, 1496, 1110, 4766, 1215, 7918, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 1170, 1874, 1125, 1606, 5820, 7358, 1126, 1524, 31924, 1146, 3882, 106, 31133, 2360, 1227, 488, 128, 3201, 488, 124, 131, 130, 132, 106, 106, 15539, 5909, 1561, 7576, 1137, 3315, 14785, 1215, 1189, 9829, 1227, 488, 127, 3201, 488, 124, 131, 131, 123, 2585, 1282, 3036, 12987, 1227, 1874, 2985, 3137, 180, 2806, 15695, 1199, 1158, 1606, 5820, 7358, 2340, 1524, 17877, 488, 125, 1606, 1115, 1524, 1576, 106, 106, 10853, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 18122, 1227, 488, 124, 124, 176, 28077, 1125, 2801, 106, 106, 28870, 5825, 488, 106, 18259, 7358, 2340, 4880, 1558, 2348, 1125, 2801, 116, 106, 106, 141, 1118, 2340, 106, 141, 1118, 2340, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 144, 1824, 1345, 1198, 1180, 180, 1299, 1189, 19166, 1167, 25081, 1125, 8196, 12036, 20678, 1185, 1775, 17779, 121, 106, 106, 20616, 4096, 488, 106, 153, 244, 1313, 1170, 6455, 1125, 1282, 20270, 1186, 488, 124, 132, 130, 132, 119, 1198, 1180, 180, 7354, 20036, 1125, 4052, 1188, 8415, 1141, 25412, 1119, 15495, 1420, 1186, 488, 124, 132, 132, 131, 119, 1723, 4212, 7581, 5551, 1158, 23391, 121, 106, 106, 144, 1824, 1345, 18764, 1170, 6315, 7774, 1313, 15579, 10034, 4741, 1189, 1197, 7790, 8196, 1125, 8415, 1141, 25412, 6871, 26560, 19539, 8566, 1527, 18764, 1189, 5234, 5458, 1221, 3523, 8415, 1141, 25412, 1119, 19210, 1297, 106, 106, 145, 6417, 4134, 106, 106, 1686, 4083, 1980, 21339, 488, 106, 1410, 10370, 6045, 1107, 1175, 124, 132, 132, 131, 116, 106, 15579, 10034, 1575, 1175, 124, 132, 132, 132, 116, 106, 3506, 2898, 1135, 25173, 1175, 125, 123, 123, 123, 116, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 4950, 1306, 6000, 1775, 1175, 125, 123, 123, 124, 116, 106, 2576, 13661, 1120, 1187, 5519, 16101, 1175, 125, 123, 123, 125, 116, 106, 11706, 1243, 1272, 1175, 125, 123, 123, 127, 116, 488, 106, 1192, 1173, 1146, 1142, 2323, 1198, 1366, 1175, 125, 123, 123, 126, 116, 106, 1988, 9202, 1220, 1171, 9453, 6429, 27644, 1175, 125, 123, 123, 131, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 1248, 2582, 159, 3332, 1175, 125, 123, 124, 123, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 1204, 2724, 186, 10034, 11978, 1175, 125, 123, 124, 124, 116, 106, 4967, 1459, 19682, 1175, 125, 123, 124, 125, 116, 106, 106, 1686, 4083, 1309, 25081, 488, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 1204, 11204, 1132, 21296, 1175, 125, 123, 123, 125, 116, 106, 4736, 182, 1105, 1180, 133, 1200, 150, 155, 11174, 1149, 488, 123, 126, 1175, 125, 123, 123, 126, 116, 106, 11449, 1171, 7013, 11890, 23739, 1175, 125, 123, 123, 132, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 106, 157, 1416, 6897, 5702, 1167, 14321, 1430, 488, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 8431, 186, 16464, 1256, 1204, 11204, 1132, 1137, 6631, 106, 31599, 161, 153, 10812, 1257, 18900, 1170, 3248, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 4736, 182, 1105, 8318, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 19414, 174, 25422, 1297, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 8415, 1141, 150, 1992, 1119, 1862, 1703, 7649, 9229, 106, 7649, 9229, 6348, 1824, 1345, 1198, 1180, 180, 106, 1254, 1824, 1345, 1198, 1180, 180, 1300, 15158, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 130, 132, 106, 3742, 1836, 12036, 11565, 3227, 1199, 1313, 1197, 8196, 1185, 1775, 106, 8044, 1790, 1793, 17779, 1125, 8196, 12036, 20678, 106, 8044, 1790, 1793, 17779, 106, 3742, 1836, 12036, 11565, 17779, 32001, 488, 106, 32000, 20036, 106, 114, 144, 1824, 1345, 1198, 1180, 180, 1299, 1189, 19166, 1167, 25081, 1125, 8196, 12036, 20678, 1185, 1775, 17779, 121, 106, 106, 20616, 4096, 488, 106, 153, 244, 1313, 1170, 6455, 1125, 1282, 20270, 1186, 488, 124, 132, 130, 132, 119, 1198, 1180, 180, 7354, 20036, 1125, 4052, 1188, 8415, 1141, 25412, 1119, 15495, 1420, 1186, 488, 124, 132, 132, 131, 119, 1723, 4212, 7581, 5551, 1158, 23391, 121, 106, 106, 144, 1824, 1345, 18764, 1170, 6315, 7774, 1313, 15579, 10034, 4741, 1189, 1197, 7790, 8196, 1125, 8415, 1141, 25412, 6871, 26560, 19539, 8566, 1527, 18764, 1189, 5234, 5458, 1221, 3523, 8415, 1141, 25412, 1119, 19210, 1297, 106, 106, 145, 6417, 4134, 106, 106, 1686, 4083, 1980, 21339, 488, 106, 1410, 10370, 6045, 1107, 1175, 124, 132, 132, 131, 116, 106, 15579, 10034, 1575, 1175, 124, 132, 132, 132, 116, 106, 3506, 2898, 1135, 25173, 1175, 125, 123, 123, 123, 116, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 4950, 1306, 6000, 1775, 1175, 125, 123, 123, 124, 116, 106, 2576, 13661, 1120, 1187, 5519, 16101, 1175, 125, 123, 123, 125, 116, 106, 11706, 1243, 1272, 1175, 125, 123, 123, 127, 116, 488, 106, 1192, 1173, 1146, 1142, 2323, 1198, 1366, 1175, 125, 123, 123, 126, 116, 106, 1988, 9202, 1220, 1171, 9453, 6429, 27644, 1175, 125, 123, 123, 131, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 1248, 2582, 159, 3332, 1175, 125, 123, 124, 123, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 1204, 2724, 186, 10034, 11978, 1175, 125, 123, 124, 124, 116, 106, 4967, 1459, 19682, 1175, 125, 123, 124, 125, 116, 106, 106, 1686, 4083, 1309, 25081, 488, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 1204, 11204, 1132, 21296, 1175, 125, 123, 123, 125, 116, 106, 4736, 182, 1105, 1180, 133, 1200, 150, 155, 11174, 1149, 488, 123, 126, 1175, 125, 123, 123, 126, 116, 106, 11449, 1171, 7013, 11890, 23739, 1175, 125, 123, 123, 132, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 106, 157, 1416, 6897, 5702, 1167, 14321, 1430, 488, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 8431, 186, 16464, 1256, 1204, 11204, 1132, 1137, 6631, 106, 31599, 161, 153, 10812, 1257, 18900, 1170, 3248, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 4736, 182, 1105, 8318, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 19414, 174, 25422, 1297, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 8415, 1141, 150, 1992, 1119, 1862, 1703, 7649, 9229, 106, 7649, 9229, 6348, 1824, 1345, 1198, 1180, 180, 106, 1254, 1824, 1345, 1198, 1180, 180, 1300, 15158, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 130, 132, 106, 3742, 1836, 12036, 11565, 3227, 1199, 1313, 1197, 8196, 1185, 1775, 106, 8044, 1790, 1793, 17779, 1125, 8196, 12036, 20678, 106, 8044, 1790, 1793, 17779, 106, 3742, 1836, 12036, 11565, 17779, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 144, 1824, 1345, 1198, 1180, 180, 1299, 1189, 19166, 1167, 25081, 1125, 8196, 12036, 20678, 1185, 1775, 17779, 121, 106, 106, 20616, 4096, 488, 106, 153, 244, 1313, 1170, 6455, 1125, 1282, 20270, 1186, 488, 124, 132, 130, 132, 119, 1198, 1180, 180, 7354, 20036, 1125, 4052, 1188, 8415, 1141, 25412, 1119, 15495, 1420, 1186, 488, 124, 132, 132, 131, 119, 1723, 4212, 7581, 5551, 1158, 23391, 121, 106, 106, 144, 1824, 1345, 18764, 1170, 6315, 7774, 1313, 15579, 10034, 4741, 1189, 1197, 7790, 8196, 1125, 8415, 1141, 25412, 6871, 26560, 19539, 8566, 1527, 18764, 1189, 5234, 5458, 1221, 3523, 8415, 1141, 25412, 1119, 19210, 1297, 106, 106, 145, 6417, 4134, 106, 106, 1686, 4083, 1980, 21339, 488, 106, 1410, 10370, 6045, 1107, 1175, 124, 132, 132, 131, 116, 106, 15579, 10034, 1575, 1175, 124, 132, 132, 132, 116, 106, 3506, 2898, 1135, 25173, 1175, 125, 123, 123, 123, 116, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 4950, 1306, 6000, 1775, 1175, 125, 123, 123, 124, 116, 106, 2576, 13661, 1120, 1187, 5519, 16101, 1175, 125, 123, 123, 125, 116, 106, 11706, 1243, 1272, 1175, 125, 123, 123, 127, 116, 488, 106, 1192, 1173, 1146, 1142, 2323, 1198, 1366, 1175, 125, 123, 123, 126, 116, 106, 1988, 9202, 1220, 1171, 9453, 6429, 27644, 1175, 125, 123, 123, 131, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 1248, 2582, 159, 3332, 1175, 125, 123, 124, 123, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 1204, 2724, 186, 10034, 11978, 1175, 125, 123, 124, 124, 116, 106, 4967, 1459, 19682, 1175, 125, 123, 124, 125, 116, 106, 106, 1686, 4083, 1309, 25081, 488, 106, 1410, 10569, 1163, 14642, 2832, 1175, 125, 123, 123, 123, 116, 106, 1204, 11204, 1132, 21296, 1175, 125, 123, 123, 125, 116, 106, 4736, 182, 1105, 1180, 133, 1200, 150, 155, 11174, 1149, 488, 123, 126, 1175, 125, 123, 123, 126, 116, 106, 11449, 1171, 7013, 11890, 23739, 1175, 125, 123, 123, 132, 116, 106, 19414, 174, 1392, 1764, 488, 123, 128, 1175, 125, 123, 123, 132, 116, 106, 10958, 1632, 14921, 1171, 7013, 11890, 23739, 1175, 125, 123, 124, 123, 116, 106, 106, 157, 1416, 6897, 5702, 1167, 14321, 1430, 488, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 8431, 186, 16464, 1256, 1204, 11204, 1132, 1137, 6631, 106, 31599, 161, 153, 10812, 1257, 18900, 1170, 3248, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 4736, 182, 1105, 8318, 106, 31599, 161, 153, 10812, 1257, 22928, 1313, 1158, 6964, 10347, 1951, 4379, 184, 6144, 1256, 19414, 174, 25422, 1297, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 8415, 1141, 150, 1992, 1119, 1862, 1703, 7649, 9229, 106, 7649, 9229, 6348, 1824, 1345, 1198, 1180, 180, 106, 1254, 1824, 1345, 1198, 1180, 180, 1300, 15158, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 130, 132, 106, 3742, 1836, 12036, 11565, 3227, 1199, 1313, 1197, 8196, 1185, 1775, 106, 8044, 1790, 1793, 17779, 1125, 8196, 12036, 20678, 106, 8044, 1790, 1793, 17779, 106, 3742, 1836, 12036, 11565, 17779, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 153, 1514, 288, 172, 27157, 25756, 180, 267, 1299, 1318, 8287, 244, 9092, 3556, 1714, 1897, 1357, 1299, 1852, 1104, 1929, 1125, 8287, 24023, 2635, 1188, 15714, 1227, 12988, 1188, 1192, 1502, 9373, 106, 106, 141, 11741, 106, 158, 1104, 12339, 23189, 1300, 1158, 17939, 1197, 17717, 3016, 1167, 1300, 1207, 3064, 1430, 1571, 20751, 1473, 22967, 1328, 7562, 1201, 4111, 2081, 1115, 3356, 14279, 106, 106, 15539, 1299, 17874, 1215, 1594, 2498, 1469, 1266, 2298, 14567, 182, 21981, 5520, 2498, 1113, 4587, 1374, 1313, 8823, 10928, 1125, 1158, 4971, 1125, 30492, 1837, 1313, 1197, 3064, 1430, 3405, 1377, 2234, 1571, 3064, 1430, 1125, 13363, 1374, 120, 2003, 1387, 1346, 1215, 1170, 13867, 2519, 13860, 1622, 1214, 29553, 1188, 4759, 1318, 3011, 18978, 18436, 15124, 1214, 12904, 7198, 1328, 1125, 16618, 1167, 1125, 16896, 106, 106, 155, 1342, 25756, 180, 267, 1110, 15363, 1318, 12969, 1186, 8287, 11490, 1188, 21314, 1125, 5371, 11698, 1186, 488, 124, 132, 132, 129, 119, 1167, 1189, 2708, 121, 9941, 1188, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 1186, 488, 125, 123, 123, 125, 2290, 1158, 3185, 9040, 8350, 23177, 1125, 14733, 1518, 7613, 1167, 1266, 2298, 21981, 197, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 11033, 1435, 10161, 5607, 1226, 1135, 4847, 189, 257, 5991, 1107, 11496, 1162, 6012, 106, 106, 15539, 9900, 6349, 1188, 26341, 1125, 8287, 11490, 2324, 1242, 1175, 2201, 488, 125, 123, 123, 125, 1496, 9362, 1836, 1186, 8287, 11490, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1167, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 1496, 6711, 1125, 1282, 6913, 9136, 1226, 29271, 25190, 1175, 125, 123, 123, 126, 120, 125, 123, 123, 127, 1496, 13787, 13705, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 128, 120, 125, 123, 123, 130, 116, 1167, 8449, 1852, 1104, 1929, 1188, 15714, 1227, 12988, 1188, 3862, 1125, 488, 125, 123, 123, 130, 119, 14867, 7667, 2851, 2648, 17663, 1175, 125, 123, 123, 130, 120, 125, 123, 124, 130, 1496, 8449, 12456, 2757, 488, 125, 123, 124, 130, 121, 106, 106, 15539, 1110, 1913, 1173, 1728, 1119, 8513, 26068, 1125, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 125, 121, 1653, 488, 125, 123, 124, 128, 119, 2399, 1299, 2873, 1277, 16217, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 106, 106, 22081, 1430, 3615, 7771, 116, 106, 1235, 3466, 25598, 1755, 1226, 3185, 1607, 3043, 17236, 3252, 1430, 109, 106, 1235, 4961, 1246, 1806, 1161, 3810, 2088, 6178, 1226, 1135, 4847, 189, 257, 5991, 1107, 24931, 1147, 1306, 124, 109, 106, 1235, 10030, 28235, 1238, 25598, 1755, 1171, 2081, 25282, 9565, 1226, 3405, 1142, 1314, 1124, 1215, 1219, 8189, 3252, 1430, 109, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8935, 12997, 106, 106, 23015, 244, 9092, 3556, 1714, 1897, 106, 224, 24116, 1125, 15714, 1125, 5371, 10833, 106, 224, 24116, 1125, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 106, 27938, 9892, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 106, 27938, 1104, 1929, 1188, 15714, 1227, 12988, 1188, 1192, 18906, 106, 8857, 1829, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 32001, 488, 106, 32000, 20036, 106, 153, 1514, 288, 172, 27157, 25756, 180, 267, 1299, 1318, 8287, 244, 9092, 3556, 1714, 1897, 1357, 1299, 13787, 1125, 8287, 11490, 1188, 15714, 1227, 12988, 1188, 1192, 1502, 4537, 106, 106, 141, 11741, 106, 158, 1104, 12339, 23189, 1300, 1158, 17939, 1197, 17717, 3016, 1167, 1300, 1207, 3064, 1430, 1571, 20751, 1473, 1921, 1717, 7562, 1201, 4111, 2081, 1115, 3356, 7324, 106, 106, 15539, 1299, 17874, 1215, 1594, 2498, 1469, 1266, 2298, 14567, 182, 21981, 5520, 2498, 1113, 4587, 1374, 1313, 8823, 10928, 1125, 1158, 4971, 1125, 30492, 1837, 1313, 1197, 3064, 1430, 10993, 2234, 1571, 3064, 1430, 1125, 13363, 1374, 120, 2003, 1387, 1346, 1215, 1170, 13867, 2519, 13860, 1622, 1214, 29553, 1188, 4759, 1318, 3011, 18978, 18436, 15124, 1214, 12904, 7198, 1328, 1125, 16618, 1167, 1125, 16896, 106, 106, 155, 1342, 25756, 180, 267, 1110, 15363, 1318, 12969, 1186, 8287, 11490, 1188, 21314, 1125, 5371, 11698, 1186, 488, 124, 132, 132, 129, 119, 1167, 1189, 2708, 121, 9941, 1188, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 1186, 488, 125, 123, 123, 125, 2290, 1158, 3185, 9040, 8350, 23177, 1125, 14733, 1518, 7613, 1167, 1266, 2298, 21981, 197, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 11033, 1435, 10161, 5607, 1226, 1135, 4847, 189, 257, 5991, 1107, 11496, 1162, 6012, 106, 106, 15539, 9900, 6349, 1188, 26341, 1125, 8287, 11490, 2324, 1242, 1175, 2201, 488, 125, 123, 123, 125, 1496, 9362, 1836, 1186, 8287, 11490, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1167, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 1496, 6711, 1125, 1282, 6913, 9136, 1226, 29271, 25190, 1175, 125, 123, 123, 126, 120, 125, 123, 123, 127, 1496, 13787, 13705, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 128, 120, 125, 123, 123, 130, 116, 1167, 8449, 13787, 1188, 15714, 1227, 12988, 1188, 3862, 1125, 488, 125, 123, 123, 130, 119, 14867, 7667, 2851, 2648, 17663, 1175, 125, 123, 123, 130, 120, 125, 123, 124, 130, 1496, 8449, 12456, 2757, 488, 125, 123, 124, 130, 121, 106, 106, 15539, 1110, 1913, 1173, 1728, 1119, 8513, 26068, 1125, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 125, 121, 1653, 488, 125, 123, 124, 128, 119, 2399, 1299, 2873, 1277, 16217, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 106, 106, 22081, 1430, 3615, 7771, 116, 106, 1235, 3466, 25598, 1755, 1226, 3185, 1607, 3043, 17236, 3252, 1430, 109, 106, 1235, 4961, 1246, 1806, 1161, 3810, 2088, 6178, 1226, 1135, 4847, 189, 257, 5991, 1107, 24931, 1147, 1306, 124, 109, 106, 1235, 10030, 28235, 1238, 25598, 1755, 1171, 2081, 25282, 9565, 1226, 3405, 1142, 1314, 1124, 1215, 1219, 8189, 3252, 1430, 109, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8935, 12997, 106, 106, 23015, 244, 9092, 3556, 1714, 1897, 106, 224, 24116, 1125, 15714, 1125, 5371, 11698, 106, 224, 24116, 1125, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 106, 27938, 9892, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 106, 27938, 9892, 1188, 15714, 1227, 12988, 1188, 1192, 18906, 106, 8857, 1829, 1125, 6389, 16609, 7546, 23652, 3043, 13309, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 1514, 288, 172, 27157, 25756, 180, 267, 1299, 1318, 8287, 244, 9092, 3556, 1714, 1897, 1357, 1299, 13787, 1125, 8287, 11490, 1188, 15714, 1227, 12988, 1188, 1192, 1502, 4537, 106, 106, 141, 11741, 106, 158, 1104, 12339, 23189, 1300, 1158, 17939, 1197, 17717, 3016, 1167, 1300, 1207, 3064, 1430, 1571, 20751, 1473, 1921, 1717, 7562, 1201, 4111, 2081, 1115, 3356, 7324, 106, 106, 15539, 1299, 17874, 1215, 1594, 2498, 1469, 1266, 2298, 14567, 182, 21981, 5520, 2498, 1113, 4587, 1374, 1313, 8823, 10928, 1125, 1158, 4971, 1125, 30492, 1837, 1313, 1197, 3064, 1430, 10993, 2234, 1571, 3064, 1430, 1125, 13363, 1374, 120, 2003, 1387, 1346, 1215, 1170, 13867, 2519, 13860, 1622, 1214, 29553, 1188, 4759, 1318, 3011, 18978, 18436, 15124, 1214, 12904, 7198, 1328, 1125, 16618, 1167, 1125, 16896, 106, 106, 155, 1342, 25756, 180, 267, 1110, 15363, 1318, 12969, 1186, 8287, 11490, 1188, 21314, 1125, 5371, 11698, 1186, 488, 124, 132, 132, 129, 119, 1167, 1189, 2708, 121, 9941, 1188, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 1186, 488, 125, 123, 123, 125, 2290, 1158, 3185, 9040, 8350, 23177, 1125, 14733, 1518, 7613, 1167, 1266, 2298, 21981, 197, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 11033, 1435, 10161, 5607, 1226, 1135, 4847, 189, 257, 5991, 1107, 11496, 1162, 6012, 106, 106, 15539, 9900, 6349, 1188, 26341, 1125, 8287, 11490, 2324, 1242, 1175, 2201, 488, 125, 123, 123, 125, 1496, 9362, 1836, 1186, 8287, 11490, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1167, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 1496, 6711, 1125, 1282, 6913, 9136, 1226, 29271, 25190, 1175, 125, 123, 123, 126, 120, 125, 123, 123, 127, 1496, 13787, 13705, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 1175, 125, 123, 123, 128, 120, 125, 123, 123, 130, 116, 1167, 8449, 13787, 1188, 15714, 1227, 12988, 1188, 3862, 1125, 488, 125, 123, 123, 130, 119, 14867, 7667, 2851, 2648, 17663, 1175, 125, 123, 123, 130, 120, 125, 123, 124, 130, 1496, 8449, 12456, 2757, 488, 125, 123, 124, 130, 121, 106, 106, 15539, 1110, 1913, 1173, 1728, 1119, 8513, 26068, 1125, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 125, 121, 1653, 488, 125, 123, 124, 128, 119, 2399, 1299, 2873, 1277, 16217, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 106, 106, 22081, 1430, 3615, 7771, 116, 106, 1235, 3466, 25598, 1755, 1226, 3185, 1607, 3043, 17236, 3252, 1430, 109, 106, 1235, 4961, 1246, 1806, 1161, 3810, 2088, 6178, 1226, 1135, 4847, 189, 257, 5991, 1107, 24931, 1147, 1306, 124, 109, 106, 1235, 10030, 28235, 1238, 25598, 1755, 1171, 2081, 25282, 9565, 1226, 3405, 1142, 1314, 1124, 1215, 1219, 8189, 3252, 1430, 109, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 8935, 12997, 106, 106, 23015, 244, 9092, 3556, 1714, 1897, 106, 224, 24116, 1125, 15714, 1125, 5371, 11698, 106, 224, 24116, 1125, 15714, 1125, 23712, 1669, 11081, 1188, 15034, 106, 27938, 9892, 1188, 15714, 1125, 2769, 2171, 1130, 1105, 106, 27938, 9892, 1188, 15714, 1227, 12988, 1188, 1192, 18906, 106, 8857, 1829, 1125, 6389, 16609, 7546, 23652, 3043, 13309, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 143, 5293, 163, 31787, 133, 3867, 1248, 1468, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1299, 1170, 16934, 6030, 13553, 1227, 3274, 1125, 21378, 13650, 31767, 1517, 1653, 191, 3622, 3078, 2576, 13507, 1299, 9665, 1186, 488, 124, 132, 132, 130, 2290, 1170, 6009, 1545, 1112, 29415, 4597, 8756, 1297, 106, 106, 143, 5293, 163, 31787, 7353, 1880, 488, 129, 129, 129, 1186, 16230, 1248, 7656, 1297, 106, 106, 2606, 3694, 3867, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1844, 3247, 1125, 1158, 11350, 1594, 1227, 5047, 6327, 18584, 14567, 3583, 13265, 4718, 121, 106, 106, 2606, 12574, 1125, 27405, 27405, 9029, 1707, 1110, 15112, 3371, 6030, 1856, 6058, 26903, 5632, 2069, 1125, 9911, 488, 124, 132, 132, 130, 121, 106, 106, 3562, 3451, 21734, 1125, 3371, 6030, 30567, 1189, 8175, 17112, 24137, 15057, 1252, 12792, 24363, 16248, 5999, 21402, 1125, 3274, 4716, 31973, 244, 1158, 7585, 1125, 1653, 191, 3622, 3078, 106, 106, 152, 19486, 2624, 106, 106, 151, 2289, 1293, 257, 3948, 13272, 16952, 1323, 14170, 106, 152, 1376, 1213, 1165, 10236, 183, 2506, 1323, 28480, 106, 140, 2643, 25610, 1176, 1323, 28480, 106, 149, 12248, 8408, 10837, 2835, 257, 184, 1323, 16565, 106, 153, 1146, 1347, 2602, 1201, 2443, 1323, 18973, 106, 106, 151, 2038, 1197, 26256, 106, 106, 3138, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1703, 488, 126, 133, 124, 124, 106, 151, 4962, 2192, 1324, 1135, 13612, 1142, 1703, 488, 125, 133, 124, 125, 106, 151, 4431, 6398, 1703, 488, 126, 133, 126, 129, 106, 162, 186, 1414, 1703, 488, 125, 133, 127, 127, 106, 1598, 196, 1703, 488, 127, 133, 123, 129, 106, 158, 1544, 13691, 1202, 1168, 1203, 22063, 1703, 488, 126, 133, 125, 123, 106, 143, 5293, 163, 31787, 1703, 488, 124, 133, 127, 127, 106, 2951, 1141, 1286, 1703, 488, 125, 133, 128, 123, 106, 143, 1174, 185, 1867, 1132, 1222, 1438, 1703, 488, 126, 133, 125, 128, 106, 155, 1178, 4020, 6398, 1703, 488, 125, 133, 125, 128, 106, 149, 1502, 1296, 30232, 1703, 488, 124, 133, 128, 125, 106, 10598, 29088, 1703, 488, 126, 133, 123, 130, 106, 160, 17094, 1361, 11283, 189, 1500, 10344, 1703, 488, 124, 133, 124, 132, 106, 162, 1112, 1784, 1272, 1703, 488, 127, 133, 123, 124, 106, 106, 145, 14017, 1252, 12792, 3077, 106, 106, 150, 2057, 1656, 1135, 1321, 9695, 1703, 488, 125, 133, 127, 132, 14153, 2561, 1125, 26514, 128, 116, 106, 125, 124, 1243, 8332, 4532, 4847, 1493, 6081, 3318, 1703, 488, 126, 133, 124, 132, 14153, 2561, 1125, 7472, 11996, 1903, 1105, 116, 106, 141, 1136, 1243, 1149, 6398, 1703, 488, 126, 133, 127, 126, 14153, 2561, 1125, 14481, 1137, 116, 106, 2029, 1596, 1135, 6503, 1703, 488, 128, 133, 127, 128, 14153, 2561, 1125, 6597, 1173, 11756, 1495, 116, 106, 106, 3681, 4354, 1304, 27966, 3622, 1156, 106, 3681, 4354, 10709, 9665, 1186, 488, 124, 132, 132, 130, 121, 32001, 488, 106, 32000, 20036, 106, 143, 5293, 163, 31787, 133, 3867, 1248, 1468, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1299, 1170, 16934, 6030, 13553, 1227, 3274, 1125, 21378, 13650, 31767, 1517, 1653, 191, 3622, 3078, 2576, 13507, 1299, 9665, 1186, 488, 124, 132, 132, 130, 2290, 1170, 6009, 1545, 1112, 29415, 4597, 8756, 1297, 106, 106, 143, 5293, 163, 31787, 7353, 1880, 488, 129, 129, 129, 1186, 16230, 1248, 7656, 1297, 106, 106, 2606, 3694, 3867, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1844, 3247, 1125, 1158, 11350, 1594, 1227, 5047, 6327, 18584, 14567, 3583, 13265, 4718, 121, 106, 106, 2606, 12574, 1125, 27405, 27405, 9029, 1707, 1110, 15112, 3371, 6030, 1856, 6058, 26903, 5632, 2069, 1125, 9911, 488, 124, 132, 132, 130, 121, 106, 106, 3562, 3451, 21734, 1125, 3371, 6030, 30567, 1189, 8175, 17112, 24137, 15057, 1252, 12792, 24363, 16248, 5999, 21402, 1125, 3274, 4716, 31973, 244, 1158, 7585, 1125, 1653, 191, 3622, 3078, 106, 106, 152, 19486, 2624, 106, 106, 151, 2289, 1293, 257, 3948, 13272, 16952, 1323, 14170, 106, 152, 1376, 1213, 1165, 10236, 183, 2506, 1323, 28480, 106, 140, 2643, 25610, 1176, 1323, 28480, 106, 149, 12248, 8408, 10837, 2835, 257, 184, 1323, 16565, 106, 153, 1146, 1347, 2602, 1201, 2443, 1323, 18973, 106, 106, 151, 2038, 1197, 26256, 106, 106, 3138, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1703, 488, 126, 133, 124, 124, 106, 151, 4962, 2192, 1324, 1135, 13612, 1142, 1703, 488, 125, 133, 124, 125, 106, 151, 4431, 6398, 1703, 488, 126, 133, 126, 129, 106, 162, 1615, 1703, 488, 125, 133, 127, 127, 106, 1598, 196, 1703, 488, 127, 133, 123, 129, 106, 158, 1544, 13691, 1202, 1168, 1203, 22063, 1703, 488, 126, 133, 125, 123, 106, 143, 5293, 163, 31787, 1703, 488, 124, 133, 127, 127, 106, 2951, 1141, 1580, 1703, 488, 125, 133, 128, 123, 106, 143, 1174, 185, 1867, 1132, 1222, 1438, 1703, 488, 126, 133, 125, 128, 106, 155, 1178, 4020, 6398, 1703, 488, 125, 133, 125, 128, 106, 149, 1502, 1296, 30232, 1703, 488, 124, 133, 128, 125, 106, 10598, 1889, 1703, 488, 126, 133, 123, 130, 106, 160, 17094, 1361, 11283, 189, 1500, 10344, 1703, 488, 124, 133, 124, 132, 106, 162, 1112, 1784, 1272, 1703, 488, 127, 133, 123, 124, 106, 106, 145, 14017, 1252, 12792, 3077, 106, 106, 150, 2057, 1656, 1135, 1321, 9695, 1703, 488, 125, 133, 127, 132, 14153, 2561, 1125, 26514, 128, 116, 106, 125, 124, 1243, 8332, 4532, 4847, 1493, 6081, 3318, 1703, 488, 126, 133, 124, 132, 14153, 2561, 1125, 7472, 11996, 1903, 1105, 116, 106, 141, 1136, 1243, 1149, 6398, 1703, 488, 126, 133, 127, 126, 14153, 2561, 1125, 14481, 1137, 116, 106, 2029, 1596, 1135, 6503, 1703, 488, 128, 133, 127, 128, 14153, 2561, 1125, 6597, 1173, 11756, 1495, 116, 106, 106, 3681, 4354, 1304, 27966, 3622, 1156, 106, 3681, 4354, 10709, 9665, 1186, 488, 124, 132, 132, 130, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 143, 5293, 163, 31787, 133, 3867, 1248, 1468, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1299, 1170, 16934, 6030, 13553, 1227, 3274, 1125, 21378, 13650, 31767, 1517, 1653, 191, 3622, 3078, 2576, 13507, 1299, 9665, 1186, 488, 124, 132, 132, 130, 2290, 1170, 6009, 1545, 1112, 29415, 4597, 8756, 1297, 106, 106, 143, 5293, 163, 31787, 7353, 1880, 488, 129, 129, 129, 1186, 16230, 1248, 7656, 1297, 106, 106, 2606, 3694, 3867, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1844, 3247, 1125, 1158, 11350, 1594, 1227, 5047, 6327, 18584, 14567, 3583, 13265, 4718, 121, 106, 106, 2606, 12574, 1125, 27405, 27405, 9029, 1707, 1110, 15112, 3371, 6030, 1856, 6058, 26903, 5632, 2069, 1125, 9911, 488, 124, 132, 132, 130, 121, 106, 106, 3562, 3451, 21734, 1125, 3371, 6030, 30567, 1189, 8175, 17112, 24137, 15057, 1252, 12792, 24363, 16248, 5999, 21402, 1125, 3274, 4716, 31973, 244, 1158, 7585, 1125, 1653, 191, 3622, 3078, 106, 106, 152, 19486, 2624, 106, 106, 151, 2289, 1293, 257, 3948, 13272, 16952, 1323, 14170, 106, 152, 1376, 1213, 1165, 10236, 183, 2506, 1323, 28480, 106, 140, 2643, 25610, 1176, 1323, 28480, 106, 149, 12248, 8408, 10837, 2835, 257, 184, 1323, 16565, 106, 153, 1146, 1347, 2602, 1201, 2443, 1323, 18973, 106, 106, 151, 2038, 1197, 26256, 106, 106, 3138, 1248, 10406, 2460, 2836, 25185, 1580, 1171, 14762, 1569, 1135, 2168, 7133, 1703, 488, 126, 133, 124, 124, 106, 151, 4962, 2192, 1324, 1135, 13612, 1142, 1703, 488, 125, 133, 124, 125, 106, 151, 4431, 6398, 1703, 488, 126, 133, 126, 129, 106, 162, 1615, 1703, 488, 125, 133, 127, 127, 106, 1598, 196, 1703, 488, 127, 133, 123, 129, 106, 158, 1544, 13691, 1202, 1168, 1203, 22063, 1703, 488, 126, 133, 125, 123, 106, 143, 5293, 163, 31787, 1703, 488, 124, 133, 127, 127, 106, 2951, 1141, 1580, 1703, 488, 125, 133, 128, 123, 106, 143, 1174, 185, 1867, 1132, 1222, 1438, 1703, 488, 126, 133, 125, 128, 106, 155, 1178, 4020, 6398, 1703, 488, 125, 133, 125, 128, 106, 149, 1502, 1296, 30232, 1703, 488, 124, 133, 128, 125, 106, 10598, 1889, 1703, 488, 126, 133, 123, 130, 106, 160, 17094, 1361, 11283, 189, 1500, 10344, 1703, 488, 124, 133, 124, 132, 106, 162, 1112, 1784, 1272, 1703, 488, 127, 133, 123, 124, 106, 106, 145, 14017, 1252, 12792, 3077, 106, 106, 150, 2057, 1656, 1135, 1321, 9695, 1703, 488, 125, 133, 127, 132, 14153, 2561, 1125, 26514, 128, 116, 106, 125, 124, 1243, 8332, 4532, 4847, 1493, 6081, 3318, 1703, 488, 126, 133, 124, 132, 14153, 2561, 1125, 7472, 11996, 1903, 1105, 116, 106, 141, 1136, 1243, 1149, 6398, 1703, 488, 126, 133, 127, 126, 14153, 2561, 1125, 14481, 1137, 116, 106, 2029, 1596, 1135, 6503, 1703, 488, 128, 133, 127, 128, 14153, 2561, 1125, 6597, 1173, 11756, 1495, 116, 106, 106, 3681, 4354, 1304, 27966, 3622, 1156, 106, 3681, 4354, 10709, 9665, 1186, 488, 124, 132, 132, 130, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 23559, 4020, 8933, 24212, 186, 1299, 1189, 5047, 6327, 26738, 1167, 1125, 31377, 120, 13761, 15519, 1215, 20705, 7494, 1384, 1167, 8325, 1348, 1215, 14251, 8880, 21126, 1346, 9665, 1186, 488, 125, 123, 124, 131, 1300, 19708, 1285, 26522, 24521, 2648, 1300, 9028, 23732, 488, 127, 1167, 9028, 23732, 488, 128, 121, 1548, 5047, 15832, 1186, 488, 125, 123, 125, 124, 1313, 1318, 3643, 9891, 17502, 1214, 5858, 1303, 1186, 7236, 1167, 1186, 15398, 2290, 1170, 3694, 1867, 1773, 3777, 17123, 121, 106, 106, 158, 31751, 488, 106, 22507, 1189, 2854, 2585, 1207, 8613, 2426, 1104, 1167, 1207, 18027, 1508, 1186, 26634, 1189, 1113, 2610, 1326, 12688, 24212, 186, 5323, 1196, 1318, 4875, 1125, 1158, 27986, 2240, 1167, 1281, 4715, 9791, 1170, 3937, 1125, 8432, 1300, 7877, 1215, 1318, 1131, 2806, 1188, 4488, 1125, 1288, 4550, 4331, 15910, 1125, 1166, 2100, 1256, 1189, 2810, 11431, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 10952, 5136, 24212, 186, 1313, 1197, 14434, 1186, 488, 125, 143, 1152, 1153, 1125, 9224, 121, 1768, 1915, 20523, 1207, 19372, 5299, 1186, 31377, 120, 13761, 1186, 6335, 10847, 1125, 1282, 1535, 1112, 1300, 5924, 1167, 3924, 1408, 1125, 488, 128, 123, 29179, 1541, 1256, 9216, 1909, 3937, 1297, 106, 106, 26085, 17297, 488, 106, 151, 2119, 17297, 1227, 5047, 29436, 30090, 1197, 6578, 1300, 11063, 13436, 121, 106, 106, 8321, 4316, 106, 106, 155, 3047, 488, 106, 145, 1174, 1953, 192, 1257, 488, 126, 123, 122, 127, 123, 106, 153, 22919, 10649, 1257, 488, 131, 122, 124, 123, 106, 106, 157, 1416, 6897, 5702, 488, 106, 1686, 488, 125, 123, 124, 129, 119, 2391, 1227, 26855, 11063, 10823, 119, 1170, 5047, 1299, 2396, 244, 1313, 1170, 3263, 488, 124, 123, 1197, 6578, 30802, 1125, 1222, 8072, 7901, 13475, 121, 1643, 2076, 13407, 1527, 18900, 1170, 6311, 3248, 1227, 18502, 2391, 1227, 1753, 1145, 177, 17778, 106, 106, 1686, 488, 125, 123, 125, 125, 119, 21416, 4020, 8933, 24212, 20109, 1867, 1773, 3777, 17123, 1299, 12688, 1317, 1202, 1603, 1483, 1227, 6005, 3151, 5047, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 131, 106, 5522, 192, 8106, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 9028, 23732, 488, 128, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 15519, 1186, 2315, 106, 5522, 192, 6327, 1125, 30155, 32001, 488, 106, 32000, 20036, 106, 23559, 4020, 8933, 24212, 186, 1299, 1189, 5047, 6327, 26738, 1167, 31377, 120, 13761, 15519, 1215, 20705, 7494, 1384, 1167, 8325, 1348, 1215, 14251, 8880, 21126, 1346, 9665, 1186, 488, 125, 123, 124, 131, 1300, 19708, 1285, 26522, 24521, 2648, 1300, 9028, 23732, 488, 127, 1167, 9028, 23732, 488, 128, 121, 1548, 5047, 15832, 1186, 488, 125, 123, 125, 124, 1313, 1318, 3643, 9891, 17502, 1214, 5858, 1303, 1186, 7236, 1167, 1186, 15398, 2290, 1170, 3694, 1867, 1773, 3777, 17123, 121, 106, 106, 158, 31751, 488, 106, 22507, 1189, 2854, 2585, 1207, 8613, 2426, 1104, 1167, 1207, 18027, 1508, 1186, 26634, 1189, 1113, 2610, 1326, 12688, 24212, 186, 5323, 1196, 1318, 4875, 1125, 1158, 27986, 2240, 1167, 1281, 4715, 9791, 1170, 3937, 1125, 8432, 1300, 7877, 1215, 1318, 1131, 2806, 1188, 4488, 1125, 1288, 4550, 4331, 15910, 1125, 1166, 2100, 1256, 1189, 2810, 11431, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 10952, 5136, 24212, 186, 1313, 1197, 14434, 1186, 488, 125, 143, 1152, 1153, 1125, 9224, 121, 1768, 1915, 20523, 1207, 19372, 5299, 1186, 29098, 1186, 6335, 10847, 1125, 1282, 1535, 1112, 1300, 5924, 1167, 3924, 1408, 1125, 488, 128, 123, 29179, 1541, 1256, 9216, 1909, 3937, 1297, 106, 106, 26085, 17297, 488, 106, 151, 2119, 17297, 1227, 5047, 29436, 30090, 1197, 6578, 1300, 11063, 13436, 121, 106, 106, 8321, 4316, 106, 106, 155, 3047, 488, 106, 145, 1174, 1953, 192, 1257, 488, 126, 123, 122, 127, 123, 106, 153, 22919, 10649, 1257, 488, 131, 122, 124, 123, 106, 106, 157, 1416, 6897, 5702, 488, 106, 1686, 488, 125, 123, 124, 129, 119, 2391, 1227, 26855, 11063, 10823, 119, 1170, 5047, 1299, 2396, 244, 1313, 1170, 3263, 488, 124, 123, 1197, 6578, 30802, 1125, 1222, 8072, 7901, 13475, 121, 1643, 2076, 13407, 1527, 18900, 1170, 6311, 3248, 1227, 18502, 2391, 1227, 1753, 1145, 177, 17778, 106, 106, 1686, 488, 125, 123, 125, 125, 119, 21416, 4020, 8933, 24212, 20109, 1867, 1773, 3777, 17123, 1299, 12688, 1317, 1202, 1603, 1483, 1227, 6005, 3151, 5047, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 131, 106, 5522, 192, 8106, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 9028, 23732, 488, 128, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 15519, 1186, 2315, 106, 5522, 192, 6327, 1125, 30155, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 23559, 4020, 8933, 24212, 186, 1299, 1189, 5047, 6327, 26738, 1167, 31377, 120, 13761, 15519, 1215, 20705, 7494, 1384, 1167, 8325, 1348, 1215, 14251, 8880, 21126, 1346, 9665, 1186, 488, 125, 123, 124, 131, 1300, 19708, 1285, 26522, 24521, 2648, 1300, 9028, 23732, 488, 127, 1167, 9028, 23732, 488, 128, 121, 1548, 5047, 15832, 1186, 488, 125, 123, 125, 124, 1313, 1318, 3643, 9891, 17502, 1214, 5858, 1303, 1186, 7236, 1167, 1186, 15398, 2290, 1170, 3694, 1867, 1773, 3777, 17123, 121, 106, 106, 158, 31751, 488, 106, 22507, 1189, 2854, 2585, 1207, 8613, 2426, 1104, 1167, 1207, 18027, 1508, 1186, 26634, 1189, 1113, 2610, 1326, 12688, 24212, 186, 5323, 1196, 1318, 4875, 1125, 1158, 27986, 2240, 1167, 1281, 4715, 9791, 1170, 3937, 1125, 8432, 1300, 7877, 1215, 1318, 1131, 2806, 1188, 4488, 1125, 1288, 4550, 4331, 15910, 1125, 1166, 2100, 1256, 1189, 2810, 11431, 106, 106, 158, 20744, 1125, 5047, 488, 106, 2606, 10952, 5136, 24212, 186, 1313, 1197, 14434, 1186, 488, 125, 143, 1152, 1153, 1125, 9224, 121, 1768, 1915, 20523, 1207, 19372, 5299, 1186, 29098, 1186, 6335, 10847, 1125, 1282, 1535, 1112, 1300, 5924, 1167, 3924, 1408, 1125, 488, 128, 123, 29179, 1541, 1256, 9216, 1909, 3937, 1297, 106, 106, 26085, 17297, 488, 106, 151, 2119, 17297, 1227, 5047, 29436, 30090, 1197, 6578, 1300, 11063, 13436, 121, 106, 106, 8321, 4316, 106, 106, 155, 3047, 488, 106, 145, 1174, 1953, 192, 1257, 488, 126, 123, 122, 127, 123, 106, 153, 22919, 10649, 1257, 488, 131, 122, 124, 123, 106, 106, 157, 1416, 6897, 5702, 488, 106, 1686, 488, 125, 123, 124, 129, 119, 2391, 1227, 26855, 11063, 10823, 119, 1170, 5047, 1299, 2396, 244, 1313, 1170, 3263, 488, 124, 123, 1197, 6578, 30802, 1125, 1222, 8072, 7901, 13475, 121, 1643, 2076, 13407, 1527, 18900, 1170, 6311, 3248, 1227, 18502, 2391, 1227, 1753, 1145, 177, 17778, 106, 106, 1686, 488, 125, 123, 125, 125, 119, 21416, 4020, 8933, 24212, 20109, 1867, 1773, 3777, 17123, 1299, 12688, 1317, 1202, 1603, 1483, 1227, 6005, 3151, 5047, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 124, 131, 106, 5522, 192, 8106, 106, 5522, 192, 26522, 24521, 106, 5522, 192, 9028, 23732, 488, 127, 106, 5522, 192, 9028, 23732, 488, 128, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 15519, 1186, 2315, 106, 5522, 192, 6327, 1125, 30155, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 1293, 1387, 1483, 1299, 1318, 3285, 11739, 2368, 1416, 2610, 1129, 1300, 23684, 1125, 21931, 289, 2393, 289, 119, 1143, 6075, 3847, 1768, 1288, 27561, 1309, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 3266, 106, 106, 141, 16386, 2164, 2886, 1474, 106, 2606, 20295, 2164, 2886, 1474, 2368, 1630, 1265, 1300, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 2433, 19430, 6387, 1170, 10750, 1125, 1306, 1205, 2215, 10737, 4849, 2433, 2460, 180, 1456, 1810, 1170, 10750, 1125, 1518, 1487, 4353, 1266, 1943, 1195, 1107, 1810, 1173, 1370, 2086, 1170, 10750, 1125, 1518, 1487, 4353, 2460, 1343, 22579, 1167, 14664, 196, 1992, 1569, 3266, 106, 106, 142, 1627, 11739, 1313, 1158, 7139, 4306, 1125, 14664, 196, 1992, 17174, 106, 145, 1126, 5269, 4480, 4688, 1317, 6075, 3847, 32001, 488, 106, 32000, 20036, 106, 2606, 1293, 1387, 1483, 1299, 1189, 3285, 11739, 2368, 1416, 2610, 1199, 1300, 23684, 1125, 21931, 289, 2393, 289, 119, 1317, 6075, 3847, 1768, 1288, 27561, 1309, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 3266, 106, 106, 141, 16386, 2164, 2886, 1474, 106, 2606, 20295, 2164, 2886, 1474, 2368, 27563, 1300, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 2433, 19430, 6387, 1170, 10750, 1125, 1306, 1205, 2215, 10737, 4849, 2433, 2460, 180, 1456, 1810, 1170, 10750, 1125, 1518, 1487, 4353, 1266, 1943, 1195, 1107, 1810, 1173, 1370, 2086, 1170, 10750, 1125, 1518, 1487, 4353, 2460, 1343, 22579, 1167, 14664, 196, 1992, 1569, 3266, 106, 106, 142, 1627, 11739, 1313, 1158, 7139, 4306, 1125, 14664, 196, 1992, 17174, 106, 145, 1126, 5269, 4480, 4688, 1317, 14506, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1293, 1387, 1483, 1299, 1189, 3285, 11739, 2368, 1416, 2610, 1199, 1300, 23684, 1125, 21931, 289, 2393, 289, 119, 1317, 6075, 3847, 1768, 1288, 27561, 1309, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 3266, 106, 106, 141, 16386, 2164, 2886, 1474, 106, 2606, 20295, 2164, 2886, 1474, 2368, 27563, 1300, 1158, 7139, 4306, 1125, 14664, 196, 1992, 1569, 2433, 19430, 6387, 1170, 10750, 1125, 1306, 1205, 2215, 10737, 4849, 2433, 2460, 180, 1456, 1810, 1170, 10750, 1125, 1518, 1487, 4353, 1266, 1943, 1195, 1107, 1810, 1173, 1370, 2086, 1170, 10750, 1125, 1518, 1487, 4353, 2460, 1343, 22579, 1167, 14664, 196, 1992, 1569, 3266, 106, 106, 142, 1627, 11739, 1313, 1158, 7139, 4306, 1125, 14664, 196, 1992, 17174, 106, 145, 1126, 5269, 4480, 4688, 1317, 14506, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 158, 2157, 177, 6900, 1165, 1869, 1119, 1175, 128, 131, 129, 138, 1323, 488, 129, 124, 126, 122, 129, 124, 129, 138, 1496, 2445, 9918, 2290, 1170, 1874, 1125, 1173, 2157, 177, 10217, 1319, 178, 1217, 7011, 3031, 1189, 10973, 1125, 25450, 20340, 106, 106, 141, 11741, 106, 5164, 3031, 1170, 8658, 1125, 1165, 1869, 1119, 1606, 1321, 2724, 1104, 3551, 5930, 2942, 1524, 1167, 3031, 18668, 1256, 1823, 1189, 2511, 10973, 13991, 20575, 1906, 1309, 1594, 27555, 9195, 1913, 8105, 1253, 30491, 1450, 1167, 3365, 2666, 4541, 12907, 2567, 1158, 1367, 1129, 23231, 6218, 1300, 20620, 1125, 10217, 1319, 178, 1217, 1334, 10262, 1606, 8649, 27661, 1125, 1233, 1514, 1415, 4821, 106, 106, 5164, 2383, 172, 1300, 1170, 1367, 9007, 2079, 488, 129, 124, 123, 119, 12907, 2750, 9720, 175, 1973, 1125, 1594, 9159, 121, 1768, 3512, 172, 1469, 1440, 4755, 1188, 1158, 16535, 1125, 1539, 1182, 1659, 1357, 25098, 3601, 1186, 488, 129, 124, 126, 1362, 488, 129, 124, 129, 2714, 1207, 6188, 1728, 3441, 2012, 1376, 2467, 1234, 1215, 1135, 183, 1885, 1284, 1125, 8870, 1146, 2620, 4885, 9346, 3618, 28822, 180, 1170, 1293, 194, 1869, 28636, 2487, 17499, 29424, 1522, 1209, 9143, 6400, 1370, 1125, 17422, 1158, 3945, 10062, 1768, 2985, 10907, 1585, 1188, 5331, 11888, 1278, 1167, 2985, 30893, 1469, 1594, 9159, 121, 106, 106, 2606, 1367, 9007, 7457, 10374, 13415, 1188, 1594, 1962, 1285, 3318, 194, 1912, 6900, 1173, 2157, 4790, 1723, 1527, 7032, 10440, 3419, 8658, 1125, 1165, 1869, 1119, 9491, 194, 1869, 119, 2445, 9918, 2290, 1170, 1874, 1125, 3985, 15207, 25450, 1591, 1362, 1254, 1142, 30995, 25450, 196, 1285, 1186, 8612, 172, 1256, 2435, 13210, 1187, 1170, 1367, 9007, 3042, 3365, 3031, 2743, 3165, 4974, 106, 106, 158, 3249, 106, 16976, 16273, 23105, 1517, 1227, 22794, 176, 6298, 106, 157, 1593, 1125, 25450, 1591, 106, 11333, 2487, 1197, 3412, 1742, 7085, 1300, 31774, 1176, 1514, 106, 11333, 2487, 1318, 3033, 1742, 1450, 1313, 5444, 177, 1383, 2085, 106, 155, 7849, 1902, 1227, 4392, 17990, 24373, 1315, 1215, 1874, 106, 153, 1383, 1328, 1206, 23105, 7269, 1227, 4392, 17990, 24373, 17659, 32001, 488, 106, 32000, 20036, 106, 158, 2157, 177, 6900, 1165, 1869, 1119, 1175, 128, 131, 129, 138, 1323, 488, 129, 124, 126, 122, 129, 124, 129, 138, 1496, 2445, 9918, 2290, 1170, 1874, 1125, 1173, 2157, 177, 10217, 1319, 178, 1217, 1334, 3031, 1189, 10973, 1125, 25450, 20340, 106, 106, 141, 11741, 106, 5164, 3031, 1170, 8658, 1125, 1165, 1869, 1119, 1606, 1321, 2724, 1104, 3551, 5930, 2942, 1524, 1167, 3031, 18668, 1256, 1823, 1189, 2511, 10973, 13991, 20575, 1906, 1309, 1594, 27555, 2985, 8105, 1253, 30491, 1450, 1167, 3365, 31019, 1178, 12907, 2567, 1158, 1367, 1129, 23231, 6218, 1300, 20620, 1125, 10217, 1319, 178, 1217, 1334, 10262, 1606, 8649, 27661, 1125, 1233, 1514, 1415, 4821, 106, 106, 5164, 2383, 172, 1300, 1170, 1367, 9007, 2079, 488, 129, 124, 123, 119, 12907, 2750, 9720, 175, 1973, 1125, 1594, 9159, 121, 1768, 3512, 172, 1469, 1440, 4755, 1188, 1158, 16535, 1125, 1539, 1182, 1659, 1357, 25098, 3601, 1186, 488, 129, 124, 126, 1362, 488, 129, 124, 129, 2714, 1207, 6188, 1728, 3441, 2012, 1376, 2467, 1234, 1215, 1135, 183, 1885, 1284, 1125, 8870, 1146, 2620, 4885, 9346, 3618, 28822, 180, 1170, 1293, 194, 1869, 28636, 2487, 17499, 29424, 1522, 1209, 9143, 6400, 1370, 1125, 17422, 1158, 3945, 10062, 1768, 1281, 6484, 31644, 1188, 5331, 11888, 1278, 1167, 2985, 30893, 1469, 1594, 9159, 121, 106, 106, 2606, 1367, 9007, 7457, 10374, 13415, 1188, 1594, 1962, 1285, 3318, 194, 1912, 6900, 1173, 2157, 4790, 1723, 1527, 7032, 10440, 3419, 8658, 1125, 1165, 1869, 1119, 9491, 194, 1869, 9918, 2445, 2290, 1170, 1874, 1125, 3985, 15207, 25450, 1591, 1362, 1254, 1142, 30995, 25450, 1591, 1186, 27565, 1256, 2435, 13210, 1187, 1170, 1367, 9007, 3042, 3365, 3031, 2743, 3165, 4974, 106, 106, 158, 3249, 488, 106, 488, 106, 488, 106, 488, 106, 106, 16976, 16273, 23105, 1517, 1227, 22794, 176, 6298, 106, 157, 1593, 1125, 25450, 1591, 106, 11333, 2487, 1197, 3412, 1742, 7085, 1300, 31774, 1176, 1514, 106, 11333, 2487, 1318, 3033, 1742, 1450, 1313, 5444, 177, 1383, 2085, 106, 155, 7849, 1902, 1227, 4392, 17990, 24373, 1315, 1215, 1874, 106, 153, 1383, 1328, 1206, 23105, 7269, 1227, 4392, 17990, 24373, 1315, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 2157, 177, 6900, 1165, 1869, 1119, 1175, 128, 131, 129, 138, 1323, 488, 129, 124, 126, 122, 129, 124, 129, 138, 1496, 2445, 9918, 2290, 1170, 1874, 1125, 1173, 2157, 177, 10217, 1319, 178, 1217, 1334, 3031, 1189, 10973, 1125, 25450, 20340, 106, 106, 141, 11741, 106, 5164, 3031, 1170, 8658, 1125, 1165, 1869, 1119, 1606, 1321, 2724, 1104, 3551, 5930, 2942, 1524, 1167, 3031, 18668, 1256, 1823, 1189, 2511, 10973, 13991, 20575, 1906, 1309, 1594, 27555, 2985, 8105, 1253, 30491, 1450, 1167, 3365, 31019, 1178, 12907, 2567, 1158, 1367, 1129, 23231, 6218, 1300, 20620, 1125, 10217, 1319, 178, 1217, 1334, 10262, 1606, 8649, 27661, 1125, 1233, 1514, 1415, 4821, 106, 106, 5164, 2383, 172, 1300, 1170, 1367, 9007, 2079, 488, 129, 124, 123, 119, 12907, 2750, 9720, 175, 1973, 1125, 1594, 9159, 121, 1768, 3512, 172, 1469, 1440, 4755, 1188, 1158, 16535, 1125, 1539, 1182, 1659, 1357, 25098, 3601, 1186, 488, 129, 124, 126, 1362, 488, 129, 124, 129, 2714, 1207, 6188, 1728, 3441, 2012, 1376, 2467, 1234, 1215, 1135, 183, 1885, 1284, 1125, 8870, 1146, 2620, 4885, 9346, 3618, 28822, 180, 1170, 1293, 194, 1869, 28636, 2487, 17499, 29424, 1522, 1209, 9143, 6400, 1370, 1125, 17422, 1158, 3945, 10062, 1768, 1281, 6484, 31644, 1188, 5331, 11888, 1278, 1167, 2985, 30893, 1469, 1594, 9159, 121, 106, 106, 2606, 1367, 9007, 7457, 10374, 13415, 1188, 1594, 1962, 1285, 3318, 194, 1912, 6900, 1173, 2157, 4790, 1723, 1527, 7032, 10440, 3419, 8658, 1125, 1165, 1869, 1119, 9491, 194, 1869, 9918, 2445, 2290, 1170, 1874, 1125, 3985, 15207, 25450, 1591, 1362, 1254, 1142, 30995, 25450, 1591, 1186, 27565, 1256, 2435, 13210, 1187, 1170, 1367, 9007, 3042, 3365, 3031, 2743, 3165, 4974, 106, 106, 158, 3249, 488, 106, 488, 106, 488, 106, 488, 106, 106, 16976, 16273, 23105, 1517, 1227, 22794, 176, 6298, 106, 157, 1593, 1125, 25450, 1591, 106, 11333, 2487, 1197, 3412, 1742, 7085, 1300, 31774, 1176, 1514, 106, 11333, 2487, 1318, 3033, 1742, 1450, 1313, 5444, 177, 1383, 2085, 106, 155, 7849, 1902, 1227, 4392, 17990, 24373, 1315, 1215, 1874, 106, 153, 1383, 1328, 1206, 23105, 7269, 1227, 4392, 17990, 24373, 1315, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1299, 1189, 12685, 5252, 1237, 14875, 1460, 8446, 1313, 1170, 4742, 7584, 3583, 178, 1516, 2765, 1313, 1170, 29703, 1415, 1125, 1352, 28355, 106, 106, 15779, 11771, 106, 2606, 20126, 1110, 1913, 13826, 1125, 488, 124, 131, 124, 132, 1188, 488, 124, 131, 125, 126, 1313, 1189, 3838, 5252, 3589, 178, 3376, 1215, 1282, 23821, 15357, 10948, 9905, 1266, 3978, 121, 1768, 20752, 1300, 1318, 5197, 1188, 25570, 1554, 1186, 3203, 5737, 1167, 1207, 14894, 20138, 1842, 1508, 1125, 488, 124, 127, 15397, 488, 125, 127, 119, 130, 1127, 1256, 1318, 10240, 12808, 1125, 488, 124, 123, 119, 128, 22895, 1653, 7779, 28901, 1158, 5197, 1299, 1189, 3731, 1595, 1450, 1469, 4593, 1167, 8826, 1600, 1396, 1457, 1814, 8275, 23190, 1175, 2694, 1210, 26416, 116, 1167, 1189, 1858, 1267, 179, 1259, 1544, 11759, 1390, 15013, 116, 3227, 1649, 1129, 1158, 3965, 172, 5007, 31485, 11419, 1576, 1808, 4972, 21346, 1835, 1207, 1111, 1738, 1269, 1479, 1104, 14255, 1382, 1125, 13276, 1297, 1548, 24010, 2402, 1119, 5007, 16460, 19227, 1227, 1115, 6544, 1334, 116, 1299, 2445, 4231, 121, 4060, 1338, 1291, 1460, 1188, 28130, 30286, 1227, 21908, 1125, 1545, 1234, 1303, 5519, 1276, 9536, 1110, 1913, 13409, 1256, 1522, 6260, 1158, 12770, 11316, 1545, 1234, 1303, 1167, 1170, 8332, 172, 1278, 16233, 1215, 25088, 3288, 1651, 2036, 3288, 15876, 1110, 1110, 2991, 1188, 13087, 1170, 20126, 121, 5420, 1199, 7798, 1309, 1170, 12685, 1281, 5209, 1300, 1158, 6233, 1125, 20774, 20283, 2357, 1207, 18979, 1125, 28453, 2004, 10374, 8466, 1987, 2205, 29477, 121, 106, 106, 3562, 12770, 11316, 1125, 3288, 15876, 1110, 1913, 14663, 1303, 1317, 1518, 1145, 1243, 179, 7569, 1120, 2942, 11679, 1186, 488, 124, 131, 132, 123, 1167, 1281, 5209, 3295, 1313, 1170, 6385, 1374, 1597, 16110, 1125, 12598, 3910, 1374, 3189, 3850, 3767, 29946, 1170, 20126, 12425, 1125, 4154, 1188, 1197, 30955, 8369, 7324, 106, 106, 216, 13102, 4270, 1162, 1227, 1293, 30359, 2177, 1167, 4617, 12243, 1227, 1863, 1507, 1125, 1352, 14662, 1233, 6266, 1136, 9905, 4847, 4816, 16080, 1282, 23821, 15357, 29563, 190, 1222, 1502, 12505, 14759, 5362, 1158, 3247, 11941, 1136, 1366, 1147, 2291, 193, 1303, 1125, 1158, 8670, 8221, 1291, 29088, 1188, 3862, 1125, 488, 124, 132, 127, 123, 1323, 11341, 1399, 20449, 13469, 1125, 1158, 10942, 1306, 2469, 12579, 23210, 1382, 1913, 27537, 121, 1222, 1502, 12505, 6739, 1382, 11193, 1304, 2291, 1263, 1170, 1893, 1232, 1334, 1618, 5725, 1125, 11341, 1399, 18762, 1182, 3839, 3495, 7352, 1723, 1110, 16098, 8670, 8221, 1291, 29088, 1856, 1318, 6233, 1125, 1215, 2240, 20958, 1303, 1469, 1318, 3028, 1125, 5588, 15425, 2079, 1170, 1248, 2064, 1300, 1158, 2989, 1197, 9744, 13076, 1123, 17548, 1548, 20126, 1125, 1545, 1234, 1303, 7457, 10374, 1823, 13198, 244, 2079, 1282, 24822, 8677, 1125, 1158, 8670, 8221, 1291, 1128, 14768, 1548, 20126, 14759, 1823, 1253, 1738, 244, 1300, 1318, 30562, 6988, 30417, 8826, 13061, 1125, 4392, 20936, 1300, 1170, 7042, 1227, 13206, 179, 24588, 5639, 1125, 8391, 172, 1502, 10702, 1167, 25719, 1215, 1125, 5313, 1104, 11749, 1300, 1207, 17206, 3143, 1125, 6764, 5229, 1188, 21309, 11852, 1475, 4010, 18253, 3850, 106, 106, 2524, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 123, 119, 1318, 15768, 10554, 1227, 12685, 1110, 1913, 3014, 3798, 1548, 20126, 1110, 1125, 3631, 8217, 1561, 7099, 16816, 2907, 1183, 16147, 1304, 5668, 4994, 106, 106, 1924, 16257, 106, 125, 123, 124, 124, 30531, 24648, 488, 124, 132, 126, 123, 1257, 28834, 1157, 1323, 9299, 1272, 1186, 3285, 4988, 488, 125, 123, 124, 124, 15558, 3268, 6759, 488, 125, 123, 124, 127, 5826, 184, 2506, 1125, 1325, 172, 1132, 1257, 11156, 1337, 197, 194, 1475, 121, 106, 106, 151, 2570, 6727, 106, 157, 7133, 6429, 1414, 183, 133, 1548, 20126, 1125, 1545, 1234, 1303, 1257, 31399, 1277, 1835, 5814, 7271, 1167, 25569, 1323, 22032, 1167, 19794, 1904, 4587, 7324, 23789, 1941, 1125, 11074, 8222, 19529, 1197, 12594, 5225, 1134, 3392, 31882, 488, 125, 123, 124, 123, 119, 1175, 7807, 1125, 18066, 1637, 31061, 116, 1808, 19574, 23290, 1125, 1282, 4303, 19005, 121, 1867, 179, 2504, 1325, 1354, 27546, 1371, 1753, 1217, 191, 488, 125, 123, 123, 126, 119, 13165, 6505, 1285, 7584, 3583, 178, 1516, 2765, 11941, 3988, 20126, 1125, 1545, 1234, 2806, 5701, 488, 132, 127, 131, 121, 106, 106, 28870, 2475, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1188, 4759, 1207, 6245, 3967, 2327, 244, 1158, 25848, 1125, 27979, 1306, 1156, 194, 7009, 29743, 5523, 106, 106, 10853, 106, 7244, 1125, 14976, 106, 106, 2103, 1234, 1303, 30554, 5252, 1237, 14875, 1460, 1186, 3698, 19005, 31882, 27546, 1371, 1753, 1217, 191, 9116, 3556, 116, 21908, 2081, 14224, 3718, 2605, 175, 28567, 13826, 1186, 488, 124, 131, 125, 126, 32001, 488, 106, 32000, 20036, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1299, 1189, 12685, 5252, 3589, 2476, 1460, 8446, 1313, 1170, 4742, 7584, 3583, 178, 12432, 1313, 1170, 29703, 1415, 1125, 1352, 28355, 106, 106, 15779, 11771, 488, 106, 2606, 20126, 1110, 1913, 13826, 1125, 488, 124, 131, 124, 132, 1188, 488, 124, 131, 125, 126, 1186, 3838, 5252, 3589, 178, 3376, 1215, 1282, 23821, 15357, 10948, 9905, 1266, 3978, 121, 1768, 20752, 1300, 1318, 5197, 1188, 25570, 1554, 1186, 3203, 5737, 1167, 1207, 14894, 20138, 1842, 1508, 1125, 488, 124, 127, 15397, 488, 125, 127, 119, 130, 1127, 1256, 1318, 10240, 12808, 1125, 488, 124, 123, 119, 128, 22895, 1653, 7779, 28901, 1158, 5197, 1299, 1189, 3731, 1595, 1450, 1469, 4593, 1167, 8826, 1600, 1396, 1457, 1814, 8275, 23190, 1175, 2694, 1210, 26416, 116, 1167, 1189, 1858, 1267, 179, 1259, 1544, 11759, 1390, 15013, 116, 3227, 1649, 1129, 1158, 3965, 172, 5007, 31485, 11419, 1576, 1808, 4972, 21346, 1835, 1207, 1111, 1738, 1269, 1479, 1104, 14255, 1382, 1125, 13276, 1297, 1548, 24010, 2402, 1119, 5007, 16460, 19227, 1227, 1115, 6544, 1334, 116, 1299, 2445, 4231, 121, 4060, 1338, 1291, 1460, 1188, 28130, 30286, 1227, 21908, 1125, 1545, 1234, 1303, 5519, 1276, 9536, 1110, 1913, 13409, 1256, 1522, 6260, 1158, 12770, 11316, 1545, 1234, 1303, 1167, 1170, 8332, 172, 1278, 16233, 1215, 25088, 3288, 1651, 2036, 3288, 15876, 1110, 1110, 2991, 1188, 13087, 1170, 20126, 121, 5420, 1199, 7798, 1309, 1170, 12685, 1281, 5209, 1300, 1158, 6233, 1125, 20774, 20283, 2357, 1207, 18979, 1125, 28453, 2004, 10374, 8466, 1987, 2205, 29477, 121, 106, 106, 3562, 12770, 11316, 1125, 3288, 15876, 1110, 1913, 14663, 1303, 1317, 1518, 1145, 1243, 179, 7569, 1120, 2942, 11679, 1186, 488, 124, 131, 132, 123, 1167, 1281, 5209, 3295, 1313, 1170, 6385, 1374, 1597, 16110, 1125, 12598, 3910, 1374, 3189, 3850, 3767, 29946, 1170, 20126, 12425, 1125, 4154, 1188, 1197, 30955, 8369, 7324, 106, 106, 216, 13102, 4270, 1162, 1227, 1293, 30359, 2177, 1167, 4617, 12243, 1227, 1863, 1507, 1125, 31882, 1233, 6266, 1136, 9905, 4847, 4816, 16080, 1282, 23821, 15357, 29563, 190, 1222, 1502, 12505, 14759, 5362, 1158, 3247, 11941, 1136, 1366, 1147, 2291, 193, 1303, 1125, 1158, 8670, 8221, 1291, 29088, 1188, 3862, 1125, 488, 124, 132, 127, 123, 1323, 11341, 1399, 20449, 13469, 1125, 1158, 10942, 1306, 2469, 12579, 23210, 1382, 1913, 27537, 121, 1222, 1502, 12505, 6739, 1382, 11193, 1304, 2291, 1263, 1170, 1893, 1232, 1334, 1618, 5725, 1125, 11341, 1399, 18762, 1182, 3839, 3495, 7352, 1723, 1110, 16098, 8670, 8221, 1291, 29088, 1856, 1318, 6233, 1125, 1215, 2240, 20958, 1303, 1469, 1318, 3028, 1125, 5588, 15425, 2079, 1170, 1248, 2064, 1300, 1158, 2989, 1197, 9744, 13076, 1123, 17548, 1548, 20126, 1125, 1545, 1234, 1303, 7457, 10374, 1823, 13198, 244, 2079, 1282, 24822, 8677, 1125, 1158, 8670, 8221, 1291, 1128, 14768, 1548, 20126, 14759, 1823, 1253, 1738, 244, 1300, 1318, 30562, 6988, 30417, 8826, 13061, 1125, 4392, 20936, 1300, 1170, 7042, 1227, 13206, 179, 24588, 5639, 1125, 8391, 172, 1502, 10702, 1167, 25719, 1215, 1125, 5313, 1104, 11749, 1300, 1207, 17206, 3143, 1125, 6764, 5229, 1188, 21309, 11852, 1475, 4010, 18253, 3850, 106, 106, 2524, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 123, 119, 1318, 15768, 10554, 1227, 12685, 1110, 1913, 3014, 3798, 1548, 20126, 1110, 1125, 3631, 8217, 1561, 7099, 16816, 2907, 1183, 16147, 1304, 5668, 4994, 106, 106, 1924, 16257, 106, 106, 125, 123, 124, 124, 30531, 24648, 488, 124, 132, 126, 123, 1257, 28834, 1157, 1323, 9299, 1272, 1186, 3285, 4988, 106, 125, 123, 124, 124, 15558, 3268, 6759, 106, 125, 123, 124, 127, 5826, 184, 2506, 1125, 1325, 172, 1132, 1257, 11156, 1337, 197, 194, 1475, 121, 106, 106, 151, 2570, 6727, 106, 106, 157, 7133, 6429, 1414, 183, 133, 1548, 20126, 1125, 5375, 1153, 133, 31399, 1277, 1835, 5814, 7271, 1167, 25569, 1323, 22032, 1167, 19794, 1904, 4587, 7324, 23789, 1941, 1125, 11074, 8222, 19529, 1197, 12594, 5225, 1134, 3392, 31882, 488, 125, 123, 124, 123, 119, 1175, 7807, 1125, 18066, 1637, 31061, 116, 1808, 19574, 23290, 1125, 1282, 4303, 19005, 121, 1867, 179, 2504, 1325, 1354, 27546, 1371, 1753, 1217, 191, 488, 125, 123, 123, 126, 119, 13165, 6505, 1285, 7584, 3583, 178, 1516, 2765, 11941, 3988, 20126, 5375, 3794, 5701, 488, 132, 127, 131, 121, 106, 106, 28870, 2475, 106, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1188, 4759, 1207, 6245, 3967, 2327, 244, 1158, 25848, 1125, 27979, 1306, 1156, 194, 7009, 29743, 5523, 106, 106, 10853, 106, 106, 7244, 1125, 14976, 106, 106, 2103, 1234, 1303, 106, 15779, 11771, 5252, 3589, 2476, 1460, 1186, 3698, 19005, 106, 161, 3556, 106, 1428, 185, 1371, 1753, 1217, 191, 9116, 3556, 116, 106, 159, 8943, 2081, 14224, 3718, 106, 224, 175, 28567, 13826, 1186, 488, 124, 131, 125, 126, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1299, 1189, 12685, 5252, 3589, 2476, 1460, 8446, 1313, 1170, 4742, 7584, 3583, 178, 12432, 1313, 1170, 29703, 1415, 1125, 1352, 28355, 106, 106, 15779, 11771, 488, 106, 2606, 20126, 1110, 1913, 13826, 1125, 488, 124, 131, 124, 132, 1188, 488, 124, 131, 125, 126, 1186, 3838, 5252, 3589, 178, 3376, 1215, 1282, 23821, 15357, 10948, 9905, 1266, 3978, 121, 1768, 20752, 1300, 1318, 5197, 1188, 25570, 1554, 1186, 3203, 5737, 1167, 1207, 14894, 20138, 1842, 1508, 1125, 488, 124, 127, 15397, 488, 125, 127, 119, 130, 1127, 1256, 1318, 10240, 12808, 1125, 488, 124, 123, 119, 128, 22895, 1653, 7779, 28901, 1158, 5197, 1299, 1189, 3731, 1595, 1450, 1469, 4593, 1167, 8826, 1600, 1396, 1457, 1814, 8275, 23190, 1175, 2694, 1210, 26416, 116, 1167, 1189, 1858, 1267, 179, 1259, 1544, 11759, 1390, 15013, 116, 3227, 1649, 1129, 1158, 3965, 172, 5007, 31485, 11419, 1576, 1808, 4972, 21346, 1835, 1207, 1111, 1738, 1269, 1479, 1104, 14255, 1382, 1125, 13276, 1297, 1548, 24010, 2402, 1119, 5007, 16460, 19227, 1227, 1115, 6544, 1334, 116, 1299, 2445, 4231, 121, 4060, 1338, 1291, 1460, 1188, 28130, 30286, 1227, 21908, 1125, 1545, 1234, 1303, 5519, 1276, 9536, 1110, 1913, 13409, 1256, 1522, 6260, 1158, 12770, 11316, 1545, 1234, 1303, 1167, 1170, 8332, 172, 1278, 16233, 1215, 25088, 3288, 1651, 2036, 3288, 15876, 1110, 1110, 2991, 1188, 13087, 1170, 20126, 121, 5420, 1199, 7798, 1309, 1170, 12685, 1281, 5209, 1300, 1158, 6233, 1125, 20774, 20283, 2357, 1207, 18979, 1125, 28453, 2004, 10374, 8466, 1987, 2205, 29477, 121, 106, 106, 3562, 12770, 11316, 1125, 3288, 15876, 1110, 1913, 14663, 1303, 1317, 1518, 1145, 1243, 179, 7569, 1120, 2942, 11679, 1186, 488, 124, 131, 132, 123, 1167, 1281, 5209, 3295, 1313, 1170, 6385, 1374, 1597, 16110, 1125, 12598, 3910, 1374, 3189, 3850, 3767, 29946, 1170, 20126, 12425, 1125, 4154, 1188, 1197, 30955, 8369, 7324, 106, 106, 216, 13102, 4270, 1162, 1227, 1293, 30359, 2177, 1167, 4617, 12243, 1227, 1863, 1507, 1125, 31882, 1233, 6266, 1136, 9905, 4847, 4816, 16080, 1282, 23821, 15357, 29563, 190, 1222, 1502, 12505, 14759, 5362, 1158, 3247, 11941, 1136, 1366, 1147, 2291, 193, 1303, 1125, 1158, 8670, 8221, 1291, 29088, 1188, 3862, 1125, 488, 124, 132, 127, 123, 1323, 11341, 1399, 20449, 13469, 1125, 1158, 10942, 1306, 2469, 12579, 23210, 1382, 1913, 27537, 121, 1222, 1502, 12505, 6739, 1382, 11193, 1304, 2291, 1263, 1170, 1893, 1232, 1334, 1618, 5725, 1125, 11341, 1399, 18762, 1182, 3839, 3495, 7352, 1723, 1110, 16098, 8670, 8221, 1291, 29088, 1856, 1318, 6233, 1125, 1215, 2240, 20958, 1303, 1469, 1318, 3028, 1125, 5588, 15425, 2079, 1170, 1248, 2064, 1300, 1158, 2989, 1197, 9744, 13076, 1123, 17548, 1548, 20126, 1125, 1545, 1234, 1303, 7457, 10374, 1823, 13198, 244, 2079, 1282, 24822, 8677, 1125, 1158, 8670, 8221, 1291, 1128, 14768, 1548, 20126, 14759, 1823, 1253, 1738, 244, 1300, 1318, 30562, 6988, 30417, 8826, 13061, 1125, 4392, 20936, 1300, 1170, 7042, 1227, 13206, 179, 24588, 5639, 1125, 8391, 172, 1502, 10702, 1167, 25719, 1215, 1125, 5313, 1104, 11749, 1300, 1207, 17206, 3143, 1125, 6764, 5229, 1188, 21309, 11852, 1475, 4010, 18253, 3850, 106, 106, 2524, 488, 125, 123, 123, 131, 1188, 488, 125, 123, 124, 123, 119, 1318, 15768, 10554, 1227, 12685, 1110, 1913, 3014, 3798, 1548, 20126, 1110, 1125, 3631, 8217, 1561, 7099, 16816, 2907, 1183, 16147, 1304, 5668, 4994, 106, 106, 1924, 16257, 106, 106, 125, 123, 124, 124, 30531, 24648, 488, 124, 132, 126, 123, 1257, 28834, 1157, 1323, 9299, 1272, 1186, 3285, 4988, 106, 125, 123, 124, 124, 15558, 3268, 6759, 106, 125, 123, 124, 127, 5826, 184, 2506, 1125, 1325, 172, 1132, 1257, 11156, 1337, 197, 194, 1475, 121, 106, 106, 151, 2570, 6727, 106, 106, 157, 7133, 6429, 1414, 183, 133, 1548, 20126, 1125, 5375, 1153, 133, 31399, 1277, 1835, 5814, 7271, 1167, 25569, 1323, 22032, 1167, 19794, 1904, 4587, 7324, 23789, 1941, 1125, 11074, 8222, 19529, 1197, 12594, 5225, 1134, 3392, 31882, 488, 125, 123, 124, 123, 119, 1175, 7807, 1125, 18066, 1637, 31061, 116, 1808, 19574, 23290, 1125, 1282, 4303, 19005, 121, 1867, 179, 2504, 1325, 1354, 27546, 1371, 1753, 1217, 191, 488, 125, 123, 123, 126, 119, 13165, 6505, 1285, 7584, 3583, 178, 1516, 2765, 11941, 3988, 20126, 5375, 3794, 5701, 488, 132, 127, 131, 121, 106, 106, 28870, 2475, 106, 106, 2606, 20126, 1125, 1545, 1234, 1303, 1188, 4759, 1207, 6245, 3967, 2327, 244, 1158, 25848, 1125, 27979, 1306, 1156, 194, 7009, 29743, 5523, 106, 106, 10853, 106, 106, 7244, 1125, 14976, 106, 106, 2103, 1234, 1303, 106, 15779, 11771, 5252, 3589, 2476, 1460, 1186, 3698, 19005, 106, 161, 3556, 106, 1428, 185, 1371, 1753, 1217, 191, 9116, 3556, 116, 106, 159, 8943, 2081, 14224, 3718, 106, 224, 175, 28567, 13826, 1186, 488, 124, 131, 125, 126, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 158, 1387, 186, 278, 18353, 182, 5086, 150, 1172, 21239, 24174, 1105, 25710, 1257, 2986, 1299, 1318, 7130, 24562, 7551, 1125, 1158, 1185, 1577, 172, 1125, 23379, 2402, 1172, 1313, 1170, 8573, 10953, 1125, 7072, 278, 6268, 4520, 1125, 1158, 30841, 1125, 1200, 3491, 1109, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 5164, 1281, 1865, 1188, 27867, 488, 126, 7275, 1317, 7758, 1125, 23379, 2402, 1172, 20677, 7541, 1125, 1158, 1185, 1577, 172, 1496, 488, 124, 125, 7275, 1317, 8030, 1125, 7072, 278, 6268, 4520, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 131, 123, 7275, 1317, 7758, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 4065, 1370, 3304, 195, 2617, 1318, 5740, 1125, 488, 124, 123, 123, 11411, 1186, 488, 125, 123, 124, 127, 121, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1158, 30841, 1125, 2397, 1174, 186, 285, 267, 121, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 1246, 10953, 1125, 7072, 278, 6268, 4520, 32001, 488, 106, 32000, 20036, 106, 22939, 1387, 186, 278, 18353, 182, 5086, 150, 1172, 21239, 24174, 1105, 25710, 1257, 2986, 1299, 1189, 7130, 24562, 1298, 1125, 1158, 1185, 1577, 172, 1125, 23379, 2402, 1172, 1313, 1170, 8573, 10953, 1125, 7072, 278, 6268, 4520, 1125, 1158, 30841, 1125, 1200, 3491, 1109, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 5164, 1281, 18381, 1188, 3997, 488, 126, 7275, 1317, 7758, 1125, 23379, 2402, 1172, 20677, 7541, 1125, 1158, 1185, 1577, 172, 1496, 488, 124, 125, 7275, 1317, 8030, 1125, 7072, 278, 6268, 4520, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 131, 123, 7275, 1317, 7758, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 6036, 1370, 11073, 1985, 1160, 1318, 5740, 1125, 488, 124, 123, 123, 11411, 1186, 488, 125, 123, 124, 127, 121, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1158, 30841, 1125, 2397, 1174, 186, 285, 267, 121, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 1246, 10953, 1125, 7072, 278, 6268, 4520, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 22939, 1387, 186, 278, 18353, 182, 5086, 150, 1172, 21239, 24174, 1105, 25710, 1257, 2986, 1299, 1189, 7130, 24562, 1298, 1125, 1158, 1185, 1577, 172, 1125, 23379, 2402, 1172, 1313, 1170, 8573, 10953, 1125, 7072, 278, 6268, 4520, 1125, 1158, 30841, 1125, 1200, 3491, 1109, 1313, 21204, 1125, 1158, 24088, 121, 106, 106, 5164, 1281, 18381, 1188, 3997, 488, 126, 7275, 1317, 7758, 1125, 23379, 2402, 1172, 20677, 7541, 1125, 1158, 1185, 1577, 172, 1496, 488, 124, 125, 7275, 1317, 8030, 1125, 7072, 278, 6268, 4520, 20677, 7541, 1227, 8573, 10953, 116, 1167, 488, 131, 123, 7275, 1317, 7758, 1125, 1200, 3491, 1109, 3471, 20684, 1366, 1125, 1158, 30841, 1576, 106, 106, 2606, 7130, 6036, 1370, 11073, 1985, 1160, 1318, 5740, 1125, 488, 124, 123, 123, 11411, 1186, 488, 125, 123, 124, 127, 121, 106, 106, 30609, 488, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 132, 131, 119, 1170, 7130, 1299, 10499, 244, 9533, 1160, 1188, 1158, 30841, 1125, 2397, 1174, 186, 285, 267, 121, 106, 143, 6849, 488, 124, 132, 132, 132, 119, 1527, 1844, 3247, 1125, 1158, 30841, 1125, 1200, 3491, 4537, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1158, 30841, 1125, 1200, 3491, 1109, 106, 155, 1246, 10953, 1125, 7072, 278, 6268, 4520, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 29827, 31816, 119, 5252, 1186, 488, 124, 131, 124, 123, 1167, 4541, 1186, 488, 124, 131, 129, 126, 119, 3031, 1189, 6513, 1995, 9314, 1106, 1569, 9494, 1357, 1268, 1123, 1158, 6425, 1197, 9505, 1717, 2391, 1125, 1158, 6545, 1197, 3066, 9314, 1125, 488, 124, 131, 129, 125, 1313, 1170, 23985, 1190, 2036, 1768, 3512, 172, 1188, 1158, 16535, 1125, 11410, 24650, 178, 2157, 121, 106, 106, 141, 11741, 106, 106, 152, 1249, 106, 22507, 1158, 13502, 1227, 1859, 3042, 3365, 1116, 6416, 1370, 1197, 2577, 1377, 30340, 1469, 1594, 8658, 1110, 249, 6968, 1325, 1246, 1109, 19863, 1189, 9644, 1167, 1594, 8658, 4783, 1164, 2089, 1170, 8008, 1300, 1207, 2069, 23112, 1190, 4277, 9814, 1199, 4541, 3250, 14941, 31816, 121, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 106, 28870, 5825, 106, 106, 142, 1122, 177, 1675, 1356, 20368, 1108, 1197, 9864, 106, 153, 3400, 1186, 488, 124, 131, 124, 123, 106, 31133, 1467, 1186, 2921, 488, 124, 131, 129, 126, 106, 5110, 1322, 3356, 1215, 1400, 1232, 1188, 8008, 1571, 9864, 106, 155, 7849, 1902, 3657, 1675, 1356, 20368, 2794, 1693, 16386, 1303, 32001, 488, 106, 32000, 20036, 106, 114, 151, 29827, 31816, 119, 5252, 1186, 488, 124, 131, 124, 123, 1167, 4541, 1186, 488, 124, 131, 129, 126, 119, 1299, 1189, 6513, 1995, 9314, 1106, 1569, 9494, 1357, 1268, 1123, 1158, 6425, 1197, 9505, 1717, 2391, 1125, 1158, 6545, 1197, 3066, 9314, 1125, 488, 124, 131, 129, 125, 1313, 1170, 23985, 1190, 2036, 1768, 1110, 20888, 1188, 1158, 16535, 1125, 11410, 24650, 178, 2157, 121, 106, 106, 141, 11741, 106, 106, 152, 1249, 488, 106, 22507, 1158, 13502, 1227, 1859, 3042, 3365, 1116, 6416, 1370, 1197, 2577, 1377, 30340, 1469, 1594, 8658, 1110, 249, 6968, 1325, 1246, 1109, 19863, 1189, 9644, 1167, 1594, 8658, 4783, 2089, 1170, 8008, 1300, 1207, 2069, 23112, 1190, 4277, 9814, 1199, 4541, 3250, 14941, 31816, 121, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 142, 1122, 177, 1675, 1356, 20368, 1108, 1197, 9864, 106, 153, 3400, 1186, 488, 124, 131, 124, 123, 106, 31133, 1467, 1186, 2921, 488, 124, 131, 129, 126, 106, 5110, 16386, 1128, 1215, 1400, 1232, 1188, 8008, 1571, 9864, 106, 155, 7849, 1902, 3657, 1675, 1356, 20368, 2794, 1693, 16386, 1303, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 151, 29827, 31816, 119, 5252, 1186, 488, 124, 131, 124, 123, 1167, 4541, 1186, 488, 124, 131, 129, 126, 119, 1299, 1189, 6513, 1995, 9314, 1106, 1569, 9494, 1357, 1268, 1123, 1158, 6425, 1197, 9505, 1717, 2391, 1125, 1158, 6545, 1197, 3066, 9314, 1125, 488, 124, 131, 129, 125, 1313, 1170, 23985, 1190, 2036, 1768, 1110, 20888, 1188, 1158, 16535, 1125, 11410, 24650, 178, 2157, 121, 106, 106, 141, 11741, 106, 106, 152, 1249, 488, 106, 22507, 1158, 13502, 1227, 1859, 3042, 3365, 1116, 6416, 1370, 1197, 2577, 1377, 30340, 1469, 1594, 8658, 1110, 249, 6968, 1325, 1246, 1109, 19863, 1189, 9644, 1167, 1594, 8658, 4783, 2089, 1170, 8008, 1300, 1207, 2069, 23112, 1190, 4277, 9814, 1199, 4541, 3250, 14941, 31816, 121, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 142, 1122, 177, 1675, 1356, 20368, 1108, 1197, 9864, 106, 153, 3400, 1186, 488, 124, 131, 124, 123, 106, 31133, 1467, 1186, 2921, 488, 124, 131, 129, 126, 106, 5110, 16386, 1128, 1215, 1400, 1232, 1188, 8008, 1571, 9864, 106, 155, 7849, 1902, 3657, 1675, 1356, 20368, 2794, 1693, 16386, 1303, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1125, 7476, 21367, 5252, 1170, 488, 124, 124, 2822, 488, 124, 130, 131, 126, 1188, 16613, 254, 1886, 182, 1175, 2136, 1125, 8227, 1137, 1496, 1167, 19859, 1113, 3925, 1256, 1441, 179, 2673, 1170, 488, 125, 131, 3201, 488, 124, 131, 126, 124, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 4610, 1125, 27112, 2240, 1125, 21090, 24562, 1298, 2596, 106, 106, 141, 11741, 488, 106, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1299, 1170, 8658, 1125, 1209, 6645, 29088, 1321, 2268, 1246, 15344, 1175, 1232, 1650, 1227, 12229, 1186, 488, 124, 130, 131, 123, 116, 1167, 1125, 23826, 194, 17371, 16613, 18353, 5778, 1125, 21087, 1319, 4537, 106, 5164, 30816, 1594, 2424, 11894, 1186, 488, 124, 131, 123, 129, 119, 1856, 26727, 1199, 1317, 488, 128, 2247, 1125, 10152, 2007, 1227, 1227, 3134, 1125, 1352, 2289, 13663, 1167, 1281, 28606, 2391, 1125, 1158, 1233, 1514, 1415, 1125, 5645, 3382, 1125, 1248, 7531, 1168, 2181, 1653, 488, 124, 131, 124, 124, 119, 1527, 1299, 12688, 25468, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 9678, 1139, 31846, 28355, 1653, 488, 124, 131, 124, 128, 1527, 1299, 12688, 9644, 1140, 1227, 488, 132, 2247, 1125, 17484, 4995, 1167, 1186, 488, 124, 131, 126, 124, 1527, 2934, 12688, 4610, 1125, 27112, 2240, 2567, 1125, 5887, 7581, 4610, 1125, 10041, 121, 106, 106, 1686, 488, 124, 131, 124, 129, 119, 1527, 16722, 2397, 2469, 1575, 1125, 1158, 9193, 182, 1246, 1146, 197, 18353, 119, 5921, 1125, 10935, 1167, 13784, 7821, 1125, 1321, 2268, 1246, 15344, 3615, 5892, 1125, 12487, 180, 1321, 2268, 1246, 15344, 1576, 1867, 1440, 11546, 1299, 5252, 3203, 4661, 1257, 10935, 24051, 1186, 488, 124, 131, 124, 130, 1496, 6188, 4460, 24051, 1186, 488, 124, 131, 124, 131, 1496, 1167, 8670, 4451, 1121, 24051, 2079, 488, 124, 131, 125, 123, 16686, 106, 106, 140, 2136, 1158, 4541, 1125, 1561, 4875, 1186, 488, 124, 131, 125, 124, 119, 1527, 1281, 8807, 1214, 1469, 8454, 1172, 21239, 22523, 1109, 3551, 189, 2174, 197, 1554, 30895, 5921, 1125, 10935, 3261, 2174, 197, 1554, 182, 2433, 1167, 488, 10170, 2174, 7602, 1173, 6920, 1712, 180, 6991, 2433, 1469, 1357, 1527, 8225, 3203, 8658, 1257, 7422, 24051, 2079, 488, 124, 131, 125, 126, 1496, 1170, 4610, 3046, 172, 3407, 1197, 21863, 1177, 21510, 1125, 488, 124, 131, 130, 127, 26751, 9524, 1935, 1313, 1158, 9625, 1125, 1165, 2965, 2806, 1469, 1282, 3036, 23384, 176, 1138, 10281, 2057, 1496, 16266, 1167, 16165, 1105, 2305, 106, 106, 1686, 488, 124, 131, 126, 124, 119, 20748, 244, 2519, 488, 21641, 2100, 1215, 3800, 1214, 1921, 7615, 1527, 1299, 12688, 29369, 1186, 6513, 1227, 4610, 1321, 2268, 1246, 5005, 3266, 3762, 1158, 14424, 1197, 8574, 25630, 1313, 1158, 10660, 1125, 1200, 3491, 2982, 2714, 1207, 488, 21863, 1177, 2331, 1346, 1527, 1497, 1130, 3171, 15697, 1297, 1768, 1299, 9829, 1170, 488, 131, 3201, 1167, 18583, 5551, 1170, 11071, 11894, 24562, 21194, 1459, 2652, 11619, 1256, 1147, 2983, 1630, 4377, 1158, 10719, 1126, 1186, 30224, 3221, 1561, 22123, 1162, 1170, 488, 124, 129, 3201, 119, 5551, 1170, 25424, 21044, 1125, 1352, 2289, 1651, 4654, 1768, 1299, 22972, 1256, 1441, 179, 2673, 16221, 1282, 6913, 27378, 1125, 2578, 488, 124, 131, 126, 123, 121, 106, 106, 161, 21488, 1119, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 1293, 6364, 29304, 3701, 4716, 20888, 1188, 1158, 9625, 1125, 488, 124, 131, 123, 130, 119, 1571, 31304, 1186, 10665, 11438, 1188, 1158, 6545, 2714, 1282, 4303, 19005, 119, 1158, 9625, 1125, 8903, 2620, 1207, 20565, 1125, 488, 124, 131, 124, 126, 119, 1167, 16368, 1197, 12468, 3023, 1125, 488, 124, 131, 126, 123, 122, 124, 131, 126, 124, 119, 1527, 2934, 1113, 3925, 1188, 1352, 2289, 1651, 4654, 106, 106, 7244, 106, 106, 20634, 1167, 5474, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 130, 131, 126, 106, 31133, 1467, 1186, 3201, 488, 124, 131, 126, 124, 106, 146, 1538, 8464, 24562, 1298, 106, 142, 1414, 1174, 6968, 1188, 4541, 21298, 244, 1215, 29360, 5540, 106, 31133, 1467, 1188, 488, 127, 130, 2165, 106, 31133, 1467, 1188, 1352, 2289, 13663, 32001, 488, 106, 32000, 20036, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1125, 7476, 21367, 5252, 1170, 488, 124, 124, 2822, 488, 124, 130, 131, 126, 1188, 16613, 254, 1886, 182, 1175, 2136, 1125, 8227, 1137, 1496, 1167, 19859, 1113, 3925, 1256, 1441, 179, 2673, 1170, 488, 125, 131, 3201, 488, 124, 131, 126, 124, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 4610, 1125, 27112, 2240, 1125, 21090, 24562, 1298, 2596, 106, 106, 141, 11741, 488, 106, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1299, 1170, 8658, 1125, 1209, 6645, 29088, 1321, 2268, 1246, 15344, 1175, 1232, 1650, 1227, 12229, 1186, 488, 124, 130, 131, 123, 116, 1167, 1125, 23826, 194, 17371, 16613, 18353, 5778, 1125, 21087, 1319, 4537, 106, 5164, 30816, 1594, 2424, 11894, 1186, 488, 124, 131, 123, 129, 119, 1856, 26727, 1199, 1317, 488, 128, 2247, 1125, 10152, 2007, 1227, 1227, 3134, 1125, 1352, 2289, 13663, 1167, 1281, 28606, 2391, 1125, 1158, 1233, 1514, 1415, 1125, 5645, 3382, 1125, 1248, 7531, 1168, 2181, 1653, 488, 124, 131, 124, 124, 119, 1527, 1299, 12688, 25468, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 9678, 1139, 31846, 28355, 1653, 488, 124, 131, 124, 128, 1527, 1299, 12688, 9644, 1140, 1227, 488, 132, 2247, 1125, 17484, 4995, 1167, 1186, 488, 124, 131, 126, 124, 1527, 2934, 12688, 4610, 1125, 27112, 2240, 2567, 1125, 5887, 7581, 4610, 1125, 10041, 121, 106, 106, 1686, 488, 124, 131, 124, 129, 119, 1527, 16722, 2397, 2469, 1575, 1125, 1158, 9193, 182, 1246, 1146, 197, 18353, 119, 5921, 1125, 10935, 1167, 13784, 7821, 1125, 1321, 2268, 1246, 15344, 3615, 5892, 1125, 12487, 180, 1321, 2268, 1246, 15344, 1576, 1867, 1440, 11546, 1299, 5252, 3203, 4661, 1257, 10935, 24051, 1186, 488, 124, 131, 124, 130, 1496, 6188, 4460, 24051, 1186, 488, 124, 131, 124, 131, 1496, 1167, 8670, 4451, 1121, 24051, 2079, 488, 124, 131, 125, 123, 16686, 106, 106, 140, 2136, 1158, 4541, 1125, 1561, 4875, 1186, 488, 124, 131, 125, 124, 119, 1527, 1281, 8807, 1214, 1469, 8454, 1172, 21239, 22523, 1109, 3551, 189, 2174, 197, 1554, 30895, 5921, 1125, 10935, 3261, 2174, 197, 1554, 182, 2433, 1167, 488, 10170, 2174, 7602, 1173, 6920, 1712, 180, 6991, 2433, 1469, 1357, 1527, 8225, 3203, 8658, 1257, 7422, 24051, 2079, 488, 124, 131, 125, 126, 1496, 1170, 4610, 3046, 172, 3407, 1197, 21863, 1177, 21510, 1125, 488, 124, 131, 130, 127, 26751, 9524, 1935, 1313, 1158, 9625, 1125, 1165, 2965, 2806, 1469, 1282, 3036, 23384, 176, 1138, 10281, 2057, 1496, 16266, 1167, 16165, 1105, 2305, 106, 106, 1686, 488, 124, 131, 126, 124, 119, 20748, 244, 2519, 488, 21641, 2100, 1215, 3800, 1214, 1921, 7615, 1527, 1299, 12688, 29369, 1186, 6513, 1227, 4610, 1321, 2268, 1246, 5005, 3266, 3762, 1158, 14424, 1197, 8574, 25630, 1313, 1158, 10660, 1125, 1200, 3491, 2982, 2714, 1207, 488, 21863, 1177, 2331, 1346, 1527, 1497, 1130, 3171, 15697, 1297, 1768, 1299, 9829, 1170, 488, 131, 3201, 1167, 18583, 5551, 1170, 11071, 11894, 24562, 21194, 1459, 2652, 11619, 1256, 1147, 2983, 1630, 4377, 1158, 10719, 1126, 1186, 30224, 3221, 1561, 22123, 1162, 1170, 488, 124, 129, 3201, 119, 5551, 1170, 25424, 21044, 1125, 1352, 2289, 1651, 4654, 1768, 1299, 22972, 1256, 1441, 179, 2673, 16221, 1282, 6913, 27378, 1125, 2578, 488, 124, 131, 126, 123, 121, 106, 106, 161, 21488, 1119, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 1293, 6364, 29304, 3701, 4716, 20888, 1188, 1158, 9625, 1125, 488, 124, 131, 123, 130, 119, 1571, 31304, 1186, 10665, 11438, 1188, 1158, 6545, 2714, 1282, 4303, 19005, 119, 1158, 9625, 1125, 8903, 2620, 1207, 20565, 1125, 488, 124, 131, 124, 126, 119, 1167, 16368, 1197, 12468, 3023, 1125, 488, 124, 131, 126, 123, 122, 124, 131, 126, 124, 119, 1527, 2934, 1113, 3925, 1188, 1352, 2289, 1651, 4654, 106, 106, 7244, 106, 106, 20634, 1167, 5474, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 130, 131, 126, 106, 31133, 1467, 1186, 3201, 488, 124, 131, 126, 124, 106, 146, 1538, 8464, 24562, 1298, 106, 142, 1414, 1174, 6968, 1188, 4541, 21298, 244, 1215, 29360, 5540, 106, 31133, 1467, 1188, 488, 127, 130, 2165, 106, 31133, 1467, 1188, 1352, 2289, 13663, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1125, 7476, 21367, 5252, 1170, 488, 124, 124, 2822, 488, 124, 130, 131, 126, 1188, 16613, 254, 1886, 182, 1175, 2136, 1125, 8227, 1137, 1496, 1167, 19859, 1113, 3925, 1256, 1441, 179, 2673, 1170, 488, 125, 131, 3201, 488, 124, 131, 126, 124, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 4610, 1125, 27112, 2240, 1125, 21090, 24562, 1298, 2596, 106, 106, 141, 11741, 488, 106, 106, 2439, 2333, 180, 1321, 2268, 1246, 15344, 1299, 1170, 8658, 1125, 1209, 6645, 29088, 1321, 2268, 1246, 15344, 1175, 1232, 1650, 1227, 12229, 1186, 488, 124, 130, 131, 123, 116, 1167, 1125, 23826, 194, 17371, 16613, 18353, 5778, 1125, 21087, 1319, 4537, 106, 5164, 30816, 1594, 2424, 11894, 1186, 488, 124, 131, 123, 129, 119, 1856, 26727, 1199, 1317, 488, 128, 2247, 1125, 10152, 2007, 1227, 1227, 3134, 1125, 1352, 2289, 13663, 1167, 1281, 28606, 2391, 1125, 1158, 1233, 1514, 1415, 1125, 5645, 3382, 1125, 1248, 7531, 1168, 2181, 1653, 488, 124, 131, 124, 124, 119, 1527, 1299, 12688, 25468, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 9678, 1139, 31846, 28355, 1653, 488, 124, 131, 124, 128, 1527, 1299, 12688, 9644, 1140, 1227, 488, 132, 2247, 1125, 17484, 4995, 1167, 1186, 488, 124, 131, 126, 124, 1527, 2934, 12688, 4610, 1125, 27112, 2240, 2567, 1125, 5887, 7581, 4610, 1125, 10041, 121, 106, 106, 1686, 488, 124, 131, 124, 129, 119, 1527, 16722, 2397, 2469, 1575, 1125, 1158, 9193, 182, 1246, 1146, 197, 18353, 119, 5921, 1125, 10935, 1167, 13784, 7821, 1125, 1321, 2268, 1246, 15344, 3615, 5892, 1125, 12487, 180, 1321, 2268, 1246, 15344, 1576, 1867, 1440, 11546, 1299, 5252, 3203, 4661, 1257, 10935, 24051, 1186, 488, 124, 131, 124, 130, 1496, 6188, 4460, 24051, 1186, 488, 124, 131, 124, 131, 1496, 1167, 8670, 4451, 1121, 24051, 2079, 488, 124, 131, 125, 123, 16686, 106, 106, 140, 2136, 1158, 4541, 1125, 1561, 4875, 1186, 488, 124, 131, 125, 124, 119, 1527, 1281, 8807, 1214, 1469, 8454, 1172, 21239, 22523, 1109, 3551, 189, 2174, 197, 1554, 30895, 5921, 1125, 10935, 3261, 2174, 197, 1554, 182, 2433, 1167, 488, 10170, 2174, 7602, 1173, 6920, 1712, 180, 6991, 2433, 1469, 1357, 1527, 8225, 3203, 8658, 1257, 7422, 24051, 2079, 488, 124, 131, 125, 126, 1496, 1170, 4610, 3046, 172, 3407, 1197, 21863, 1177, 21510, 1125, 488, 124, 131, 130, 127, 26751, 9524, 1935, 1313, 1158, 9625, 1125, 1165, 2965, 2806, 1469, 1282, 3036, 23384, 176, 1138, 10281, 2057, 1496, 16266, 1167, 16165, 1105, 2305, 106, 106, 1686, 488, 124, 131, 126, 124, 119, 20748, 244, 2519, 488, 21641, 2100, 1215, 3800, 1214, 1921, 7615, 1527, 1299, 12688, 29369, 1186, 6513, 1227, 4610, 1321, 2268, 1246, 5005, 3266, 3762, 1158, 14424, 1197, 8574, 25630, 1313, 1158, 10660, 1125, 1200, 3491, 2982, 2714, 1207, 488, 21863, 1177, 2331, 1346, 1527, 1497, 1130, 3171, 15697, 1297, 1768, 1299, 9829, 1170, 488, 131, 3201, 1167, 18583, 5551, 1170, 11071, 11894, 24562, 21194, 1459, 2652, 11619, 1256, 1147, 2983, 1630, 4377, 1158, 10719, 1126, 1186, 30224, 3221, 1561, 22123, 1162, 1170, 488, 124, 129, 3201, 119, 5551, 1170, 25424, 21044, 1125, 1352, 2289, 1651, 4654, 1768, 1299, 22972, 1256, 1441, 179, 2673, 16221, 1282, 6913, 27378, 1125, 2578, 488, 124, 131, 126, 123, 121, 106, 106, 161, 21488, 1119, 1197, 10152, 2007, 24562, 1298, 1125, 1158, 1293, 6364, 29304, 3701, 4716, 20888, 1188, 1158, 9625, 1125, 488, 124, 131, 123, 130, 119, 1571, 31304, 1186, 10665, 11438, 1188, 1158, 6545, 2714, 1282, 4303, 19005, 119, 1158, 9625, 1125, 8903, 2620, 1207, 20565, 1125, 488, 124, 131, 124, 126, 119, 1167, 16368, 1197, 12468, 3023, 1125, 488, 124, 131, 126, 123, 122, 124, 131, 126, 124, 119, 1527, 2934, 1113, 3925, 1188, 1352, 2289, 1651, 4654, 106, 106, 7244, 106, 106, 20634, 1167, 5474, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 130, 131, 126, 106, 31133, 1467, 1186, 3201, 488, 124, 131, 126, 124, 106, 146, 1538, 8464, 24562, 1298, 106, 142, 1414, 1174, 6968, 1188, 4541, 21298, 244, 1215, 29360, 5540, 106, 31133, 1467, 1188, 488, 127, 130, 2165, 106, 31133, 1467, 1188, 1352, 2289, 13663, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 1428, 1389, 10097, 1299, 1189, 10323, 1112, 1317, 4561, 8281, 14967, 1227, 3274, 1410, 1165, 1278, 9665, 1186, 488, 124, 132, 132, 123, 1300, 1170, 6009, 31056, 182, 1935, 22628, 1167, 19126, 1317, 7882, 1317, 5387, 1675, 24457, 11431, 106, 5164, 11550, 1207, 5999, 3237, 1328, 25733, 1125, 26903, 5017, 6544, 10097, 1186, 3451, 2920, 180, 2442, 10440, 13271, 1227, 3274, 121, 106, 106, 12396, 488, 124, 488, 106, 106, 1252, 4910, 3315, 10273, 4289, 1149, 1328, 1878, 1757, 116, 106, 21825, 1599, 106, 6398, 1161, 25839, 106, 1252, 4910, 3315, 10273, 7890, 1649, 4737, 1878, 1757, 116, 106, 106, 12396, 488, 125, 488, 106, 106, 151, 11470, 1510, 4289, 1149, 1328, 1878, 1757, 116, 106, 1200, 11470, 1510, 7890, 1649, 4737, 1878, 1757, 116, 106, 488, 125, 151, 1230, 106, 1252, 1570, 1161, 1293, 7034, 190, 106, 106, 12396, 488, 126, 488, 106, 106, 1200, 1770, 9621, 4289, 1149, 1328, 1878, 1757, 116, 106, 1200, 1770, 9621, 7890, 1649, 4737, 1878, 1757, 116, 106, 1306, 7376, 2057, 7958, 1289, 116, 106, 1814, 2052, 2128, 1175, 14216, 116, 106, 106, 12396, 488, 127, 488, 106, 106, 151, 11470, 1510, 4289, 11279, 1878, 1757, 116, 106, 13426, 1222, 1336, 7958, 1289, 116, 106, 1252, 4910, 3315, 10273, 7958, 1289, 116, 106, 1202, 2091, 1201, 1226, 26907, 7958, 1289, 116, 106, 5017, 6544, 10097, 7958, 1289, 116, 106, 106, 20634, 1167, 5474, 488, 106, 106, 1598, 1165, 1278, 32001, 488, 106, 32000, 20036, 106, 18218, 10097, 1299, 1189, 10323, 2360, 1317, 4561, 8281, 14967, 1227, 3274, 1410, 1165, 1278, 9665, 1186, 488, 124, 132, 132, 123, 1300, 1170, 6009, 31056, 182, 1935, 22628, 1167, 19126, 1317, 7882, 1317, 5387, 8403, 121, 106, 5164, 11550, 1207, 5999, 3237, 1328, 3993, 1953, 1125, 26903, 5017, 6544, 10097, 1186, 3451, 2920, 180, 2442, 10440, 13271, 1227, 3274, 121, 106, 106, 12396, 488, 124, 488, 106, 106, 1252, 4910, 3315, 10273, 4289, 11279, 1878, 1757, 116, 106, 21825, 1599, 106, 6398, 1161, 25839, 106, 1252, 4910, 3315, 10273, 7890, 1649, 4737, 1878, 1757, 116, 106, 106, 12396, 488, 125, 488, 106, 106, 151, 11470, 1510, 4289, 11279, 1878, 1757, 116, 106, 1200, 11470, 1510, 7890, 1649, 4737, 1878, 1757, 116, 106, 488, 125, 151, 1230, 106, 1252, 1570, 1161, 1293, 7034, 190, 106, 106, 12396, 488, 126, 488, 106, 106, 1200, 1770, 9621, 4289, 11279, 1878, 1757, 116, 106, 1200, 1770, 9621, 7890, 1649, 4737, 1878, 1757, 116, 106, 1306, 7376, 2057, 1175, 14216, 116, 106, 1814, 2052, 2128, 1175, 14216, 116, 106, 106, 12396, 488, 127, 488, 106, 106, 151, 11470, 1510, 4289, 11279, 1878, 1757, 116, 106, 13426, 1222, 1336, 1175, 14216, 116, 106, 1252, 4910, 3315, 10273, 1175, 14216, 116, 106, 1202, 2091, 1201, 1226, 26907, 1175, 14216, 116, 106, 5017, 6544, 10097, 1175, 14216, 116, 106, 106, 20634, 1167, 5474, 488, 106, 106, 1598, 1165, 1278, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 18218, 10097, 1299, 1189, 10323, 2360, 1317, 4561, 8281, 14967, 1227, 3274, 1410, 1165, 1278, 9665, 1186, 488, 124, 132, 132, 123, 1300, 1170, 6009, 31056, 182, 1935, 22628, 1167, 19126, 1317, 7882, 1317, 5387, 8403, 121, 106, 5164, 11550, 1207, 5999, 3237, 1328, 3993, 1953, 1125, 26903, 5017, 6544, 10097, 1186, 3451, 2920, 180, 2442, 10440, 13271, 1227, 3274, 121, 106, 106, 12396, 488, 124, 488, 106, 106, 1252, 4910, 3315, 10273, 4289, 11279, 1878, 1757, 116, 106, 21825, 1599, 106, 6398, 1161, 25839, 106, 1252, 4910, 3315, 10273, 7890, 1649, 4737, 1878, 1757, 116, 106, 106, 12396, 488, 125, 488, 106, 106, 151, 11470, 1510, 4289, 11279, 1878, 1757, 116, 106, 1200, 11470, 1510, 7890, 1649, 4737, 1878, 1757, 116, 106, 488, 125, 151, 1230, 106, 1252, 1570, 1161, 1293, 7034, 190, 106, 106, 12396, 488, 126, 488, 106, 106, 1200, 1770, 9621, 4289, 11279, 1878, 1757, 116, 106, 1200, 1770, 9621, 7890, 1649, 4737, 1878, 1757, 116, 106, 1306, 7376, 2057, 1175, 14216, 116, 106, 1814, 2052, 2128, 1175, 14216, 116, 106, 106, 12396, 488, 127, 488, 106, 106, 151, 11470, 1510, 4289, 11279, 1878, 1757, 116, 106, 13426, 1222, 1336, 1175, 14216, 116, 106, 1252, 4910, 3315, 10273, 1175, 14216, 116, 106, 1202, 2091, 1201, 1226, 26907, 1175, 14216, 116, 106, 5017, 6544, 10097, 1175, 14216, 116, 106, 106, 20634, 1167, 5474, 488, 106, 106, 1598, 1165, 1278, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 1647, 5675, 162, 1488, 1862, 1299, 1189, 6030, 1186, 9893, 1125, 6480, 15125, 1214, 3594, 2052, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 30609, 106, 106, 3562, 23931, 1863, 3258, 6745, 22374, 1227, 488, 130, 2822, 488, 124, 132, 132, 132, 1317, 488, 125, 126, 2822, 488, 125, 123, 123, 123, 121, 15125, 1214, 1251, 11925, 4326, 11129, 1197, 23070, 8004, 1234, 1125, 1909, 2069, 8176, 6030, 1285, 19640, 4734, 1140, 6398, 5268, 1175, 124, 132, 132, 128, 116, 1167, 1170, 4242, 1255, 1171, 10844, 13220, 5006, 1175, 124, 132, 132, 130, 1576, 106, 106, 155, 14387, 2750, 1158, 1622, 1125, 1158, 5505, 2806, 15125, 1214, 29523, 1158, 1215, 4292, 12494, 2335, 5368, 6030, 121, 1768, 3071, 6106, 1317, 6817, 1272, 1125, 3371, 6030, 1469, 1594, 17913, 4195, 1863, 176, 1923, 13089, 1112, 4294, 1167, 1170, 24190, 8713, 2358, 1384, 12135, 488, 124, 132, 132, 131, 121, 9997, 1561, 4685, 1125, 1513, 1485, 11916, 22628, 9290, 1129, 1125, 1170, 12112, 1657, 106, 106, 1686, 1622, 1125, 21317, 15125, 1214, 5265, 2008, 8470, 1186, 30098, 1622, 488, 124, 132, 132, 132, 119, 1186, 5458, 29832, 1256, 1207, 4634, 1125, 1594, 1865, 15125, 1214, 153, 4746, 2576, 5304, 2419, 7352, 26903, 13727, 5675, 162, 1488, 1862, 1299, 27446, 1317, 4561, 1165, 5730, 3295, 1186, 5458, 29832, 1256, 1207, 1522, 7717, 1125, 15125, 1214, 153, 4746, 2576, 1516, 2401, 1227, 8175, 1299, 1282, 13221, 1125, 4634, 1227, 8463, 1814, 17908, 14927, 9016, 1197, 1878, 1757, 1104, 1125, 5999, 10139, 7816, 2487, 1318, 119, 16292, 4158, 1147, 1135, 5859, 119, 1299, 21270, 1286, 1215, 6925, 16095, 106, 106, 151, 1647, 5675, 162, 1488, 1862, 1299, 3902, 1188, 6454, 1300, 1207, 4465, 1125, 18623, 1186, 2738, 488, 125, 123, 125, 123, 121, 4060, 3451, 2551, 3720, 1277, 1382, 1170, 17908, 14927, 1125, 488, 125, 123, 123, 123, 119, 1723, 2399, 5265, 2069, 23070, 6450, 5291, 4608, 193, 1647, 1167, 2499, 1549, 119, 14867, 1215, 1813, 1186, 3935, 1186, 488, 124, 132, 132, 130, 2290, 1170, 17260, 10329, 1606, 1198, 7741, 17746, 15076, 4821, 106, 106, 145, 3352, 4403, 106, 106, 2330, 1220, 1376, 106, 106, 152, 19486, 2624, 106, 106, 143, 16298, 15125, 1214, 133, 1270, 2851, 11243, 16303, 1561, 195, 31090, 1863, 176, 1923, 13089, 4740, 3009, 11243, 16303, 1270, 21113, 1293, 1478, 4670, 17486, 22944, 133, 16565, 119, 1270, 283, 4995, 1455, 1342, 2007, 2397, 1480, 2068, 7362, 133, 18973, 14222, 1293, 2289, 1105, 133, 1455, 1342, 2007, 106, 106, 10853, 106, 106, 141, 13449, 106, 106, 121, 32001, 488, 106, 32000, 20036, 106, 114, 151, 1647, 5675, 162, 1488, 1862, 1299, 1189, 6030, 1186, 9893, 1125, 6480, 15125, 1214, 9665, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 30609, 488, 106, 106, 3562, 23931, 488, 1863, 3258, 6745, 22374, 1227, 488, 130, 2822, 488, 124, 132, 132, 132, 1317, 488, 125, 126, 2822, 488, 125, 123, 123, 123, 121, 15125, 1214, 1251, 11925, 4326, 11129, 1197, 23070, 8004, 1473, 1125, 1909, 2069, 8176, 6030, 1285, 19640, 4734, 1140, 488, 6398, 5268, 1175, 124, 132, 132, 128, 116, 1167, 1170, 4242, 1255, 1171, 10844, 488, 13220, 5006, 1175, 124, 132, 132, 130, 1576, 106, 106, 155, 14387, 2750, 1158, 1622, 1125, 1158, 5505, 2806, 15125, 1214, 29523, 1158, 1215, 4292, 12494, 2335, 5368, 6030, 121, 1768, 3071, 6106, 1317, 6817, 1272, 1125, 3371, 6030, 1469, 1594, 17913, 2038, 1863, 176, 1923, 13089, 1112, 4294, 1167, 1170, 24190, 8713, 2358, 1384, 12135, 488, 124, 132, 132, 131, 121, 9997, 1561, 4685, 1125, 1513, 1485, 11916, 22628, 16893, 1125, 1170, 12112, 1657, 106, 106, 1686, 1622, 1125, 21317, 15125, 1214, 5265, 2008, 8470, 1186, 30098, 1622, 488, 124, 132, 132, 132, 119, 1186, 5458, 29832, 1256, 1207, 4634, 1125, 1594, 1865, 15125, 1214, 153, 4746, 2576, 5304, 2419, 7352, 26903, 13727, 5675, 162, 1488, 1862, 1299, 8325, 1348, 1317, 4561, 1165, 5730, 3295, 1186, 5458, 29832, 1256, 1207, 22082, 1125, 15125, 1214, 153, 4746, 2576, 1516, 2401, 1227, 8175, 1299, 1282, 13221, 1125, 4634, 1227, 8463, 1814, 17908, 14927, 9016, 1197, 1878, 1757, 1104, 1125, 5999, 10139, 7816, 2487, 1318, 119, 16292, 4158, 1147, 1135, 5859, 119, 1299, 21270, 1286, 1215, 6925, 16095, 106, 106, 151, 1647, 5675, 162, 1488, 1862, 1299, 3902, 1188, 6454, 1300, 1207, 4465, 1125, 18623, 1186, 2738, 488, 125, 123, 125, 123, 121, 4060, 3451, 2551, 3720, 1178, 1382, 1170, 17908, 14927, 1125, 488, 125, 123, 123, 123, 119, 1723, 2399, 5265, 2069, 23070, 6450, 5291, 4608, 193, 1647, 1167, 2499, 1549, 119, 14867, 1215, 1813, 1186, 3935, 1186, 488, 124, 132, 132, 130, 2290, 1170, 17260, 10329, 1606, 1198, 7741, 17746, 15076, 4821, 106, 106, 145, 3352, 4403, 106, 106, 2330, 1220, 1376, 106, 106, 152, 19486, 2624, 488, 106, 106, 6480, 15125, 1214, 1257, 1270, 2851, 11243, 16303, 1561, 195, 31090, 106, 1863, 176, 1923, 13089, 1112, 4294, 1257, 11243, 16303, 1270, 21113, 106, 1293, 1478, 4670, 17486, 22944, 1257, 16565, 119, 1270, 283, 4995, 1455, 1342, 2007, 106, 2397, 1480, 2068, 7362, 1257, 18973, 106, 14222, 1293, 2289, 1105, 1257, 1455, 1342, 2007, 106, 106, 10853, 106, 106, 141, 13449, 488, 106, 106, 1939, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 151, 1647, 5675, 162, 1488, 1862, 1299, 1189, 6030, 1186, 9893, 1125, 6480, 15125, 1214, 9665, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 30609, 488, 106, 106, 3562, 23931, 488, 1863, 3258, 6745, 22374, 1227, 488, 130, 2822, 488, 124, 132, 132, 132, 1317, 488, 125, 126, 2822, 488, 125, 123, 123, 123, 121, 15125, 1214, 1251, 11925, 4326, 11129, 1197, 23070, 8004, 1473, 1125, 1909, 2069, 8176, 6030, 1285, 19640, 4734, 1140, 488, 6398, 5268, 1175, 124, 132, 132, 128, 116, 1167, 1170, 4242, 1255, 1171, 10844, 488, 13220, 5006, 1175, 124, 132, 132, 130, 1576, 106, 106, 155, 14387, 2750, 1158, 1622, 1125, 1158, 5505, 2806, 15125, 1214, 29523, 1158, 1215, 4292, 12494, 2335, 5368, 6030, 121, 1768, 3071, 6106, 1317, 6817, 1272, 1125, 3371, 6030, 1469, 1594, 17913, 2038, 1863, 176, 1923, 13089, 1112, 4294, 1167, 1170, 24190, 8713, 2358, 1384, 12135, 488, 124, 132, 132, 131, 121, 9997, 1561, 4685, 1125, 1513, 1485, 11916, 22628, 16893, 1125, 1170, 12112, 1657, 106, 106, 1686, 1622, 1125, 21317, 15125, 1214, 5265, 2008, 8470, 1186, 30098, 1622, 488, 124, 132, 132, 132, 119, 1186, 5458, 29832, 1256, 1207, 4634, 1125, 1594, 1865, 15125, 1214, 153, 4746, 2576, 5304, 2419, 7352, 26903, 13727, 5675, 162, 1488, 1862, 1299, 8325, 1348, 1317, 4561, 1165, 5730, 3295, 1186, 5458, 29832, 1256, 1207, 22082, 1125, 15125, 1214, 153, 4746, 2576, 1516, 2401, 1227, 8175, 1299, 1282, 13221, 1125, 4634, 1227, 8463, 1814, 17908, 14927, 9016, 1197, 1878, 1757, 1104, 1125, 5999, 10139, 7816, 2487, 1318, 119, 16292, 4158, 1147, 1135, 5859, 119, 1299, 21270, 1286, 1215, 6925, 16095, 106, 106, 151, 1647, 5675, 162, 1488, 1862, 1299, 3902, 1188, 6454, 1300, 1207, 4465, 1125, 18623, 1186, 2738, 488, 125, 123, 125, 123, 121, 4060, 3451, 2551, 3720, 1178, 1382, 1170, 17908, 14927, 1125, 488, 125, 123, 123, 123, 119, 1723, 2399, 5265, 2069, 23070, 6450, 5291, 4608, 193, 1647, 1167, 2499, 1549, 119, 14867, 1215, 1813, 1186, 3935, 1186, 488, 124, 132, 132, 130, 2290, 1170, 17260, 10329, 1606, 1198, 7741, 17746, 15076, 4821, 106, 106, 145, 3352, 4403, 106, 106, 2330, 1220, 1376, 106, 106, 152, 19486, 2624, 488, 106, 106, 6480, 15125, 1214, 1257, 1270, 2851, 11243, 16303, 1561, 195, 31090, 106, 1863, 176, 1923, 13089, 1112, 4294, 1257, 11243, 16303, 1270, 21113, 106, 1293, 1478, 4670, 17486, 22944, 1257, 16565, 119, 1270, 283, 4995, 1455, 1342, 2007, 106, 2397, 1480, 2068, 7362, 1257, 18973, 106, 14222, 1293, 2289, 1105, 1257, 1455, 1342, 2007, 106, 106, 10853, 106, 106, 141, 13449, 488, 106, 106, 1939, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 488, 127, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 9951, 1908, 13348, 8994, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 1362, 1113, 153, 12629, 116, 1299, 1189, 13644, 3000, 1172, 1345, 1186, 4372, 1297, 6053, 1189, 1299, 1107, 27414, 2026, 1227, 488, 127, 3243, 1123, 8529, 1538, 13651, 2205, 17841, 1170, 2172, 21727, 5101, 1538, 7625, 2026, 1125, 488, 127, 3243, 1123, 8529, 1538, 2847, 121, 2576, 21727, 1150, 1269, 1206, 1227, 488, 127, 6488, 12629, 1215, 1318, 27414, 1128, 1483, 2539, 1450, 1189, 28635, 1691, 3157, 7625, 1230, 1167, 1227, 488, 127, 3243, 1123, 8529, 1538, 1172, 4497, 23648, 1496, 13644, 1125, 7099, 18699, 1469, 1189, 5146, 1304, 4938, 1121, 1552, 5749, 1835, 488, 127, 123, 123, 1167, 488, 127, 124, 123, 1677, 121, 106, 106, 26630, 106, 106, 1686, 1186, 197, 3291, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 20594, 17283, 1197, 27414, 1128, 4580, 1294, 3910, 2252, 4497, 2115, 116, 1167, 1197, 27414, 1128, 4580, 17173, 1234, 4497, 2450, 1576, 106, 1686, 16958, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 1158, 31726, 1125, 1158, 27414, 1128, 1483, 1294, 3910, 1314, 1313, 1207, 9823, 1741, 17402, 2058, 6687, 106, 106, 20634, 1167, 5474, 106, 106, 120, 10118, 3157, 7625, 1230, 106, 120, 1266, 1123, 10672, 10520, 3333, 114, 32001, 488, 106, 32000, 20036, 106, 2606, 488, 127, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 9951, 1908, 13348, 8994, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 1362, 1113, 153, 12629, 116, 1299, 1189, 13644, 3000, 1172, 1345, 1186, 4372, 121, 6053, 1189, 1299, 1107, 27414, 1230, 1227, 488, 127, 3243, 1123, 8529, 1538, 13651, 2205, 17841, 1170, 2172, 21727, 5101, 1538, 3157, 7625, 1230, 1125, 488, 127, 3243, 1123, 8529, 1538, 2847, 121, 2576, 21727, 1150, 1269, 1206, 1227, 488, 127, 6488, 12629, 1215, 1318, 27414, 1128, 1483, 2539, 1450, 1189, 28635, 1691, 3157, 7625, 1230, 1167, 1227, 488, 127, 3243, 1123, 8529, 1538, 1172, 4497, 23648, 1496, 13644, 1125, 7099, 18699, 1469, 1189, 5146, 1304, 4938, 1121, 1552, 5749, 1835, 488, 127, 123, 123, 1167, 488, 127, 124, 123, 1139, 5784, 106, 106, 26630, 106, 106, 1686, 1186, 197, 3291, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 20594, 17283, 1197, 27414, 1128, 4580, 1294, 3910, 2252, 4497, 2115, 116, 1167, 1197, 27414, 1128, 4580, 1332, 3016, 4497, 2450, 1576, 106, 1686, 16958, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 1158, 31726, 1125, 1158, 27414, 1128, 1483, 1294, 3910, 1314, 1313, 1207, 9823, 1741, 17402, 2058, 6687, 106, 106, 20634, 1167, 5474, 106, 106, 120, 10118, 3157, 7625, 1230, 106, 120, 1266, 1123, 10672, 10520, 3333, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 488, 127, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 9951, 1908, 13348, 8994, 3243, 1123, 8529, 1538, 3340, 1479, 7625, 1230, 1362, 1113, 153, 12629, 116, 1299, 1189, 13644, 3000, 1172, 1345, 1186, 4372, 121, 6053, 1189, 1299, 1107, 27414, 1230, 1227, 488, 127, 3243, 1123, 8529, 1538, 13651, 2205, 17841, 1170, 2172, 21727, 5101, 1538, 3157, 7625, 1230, 1125, 488, 127, 3243, 1123, 8529, 1538, 2847, 121, 2576, 21727, 1150, 1269, 1206, 1227, 488, 127, 6488, 12629, 1215, 1318, 27414, 1128, 1483, 2539, 1450, 1189, 28635, 1691, 3157, 7625, 1230, 1167, 1227, 488, 127, 3243, 1123, 8529, 1538, 1172, 4497, 23648, 1496, 13644, 1125, 7099, 18699, 1469, 1189, 5146, 1304, 4938, 1121, 1552, 5749, 1835, 488, 127, 123, 123, 1167, 488, 127, 124, 123, 1139, 5784, 106, 106, 26630, 106, 106, 1686, 1186, 197, 3291, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 20594, 17283, 1197, 27414, 1128, 4580, 1294, 3910, 2252, 4497, 2115, 116, 1167, 1197, 27414, 1128, 4580, 1332, 3016, 4497, 2450, 1576, 106, 1686, 16958, 16499, 1170, 488, 127, 6488, 12629, 1299, 5162, 1256, 1158, 31726, 1125, 1158, 27414, 1128, 1483, 1294, 3910, 1314, 1313, 1207, 9823, 1741, 17402, 2058, 6687, 106, 106, 20634, 1167, 5474, 106, 106, 120, 10118, 3157, 7625, 1230, 106, 120, 1266, 1123, 10672, 10520, 3333, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 1518, 3472, 2068, 1839, 26311, 1175, 127, 123, 128, 116, 1299, 1189, 2024, 18561, 1554, 1125, 1158, 19021, 1855, 1105, 1234, 28355, 1768, 1844, 3247, 1125, 1158, 5971, 1539, 1475, 1233, 1307, 186, 19081, 2806, 2445, 17874, 2290, 1170, 1874, 1125, 5971, 29650, 1301, 1141, 2036, 1548, 27214, 1110, 1913, 20107, 244, 1215, 1202, 159, 1202, 2115, 28176, 1575, 1167, 1110, 1913, 17034, 1186, 3012, 488, 125, 123, 124, 132, 121, 3855, 1170, 3151, 28353, 1554, 1188, 1823, 20107, 244, 1186, 6105, 1105, 1234, 4654, 106, 106, 9592, 1416, 4264, 488, 106, 2700, 1232, 1207, 2905, 28353, 1554, 16144, 1140, 120, 244, 2225, 9310, 1125, 5971, 29650, 1301, 1141, 1810, 1170, 1518, 3472, 2068, 1839, 26311, 1110, 1318, 16618, 6696, 3440, 1261, 1125, 488, 129, 124, 119, 125, 13061, 1469, 1318, 30189, 1125, 488, 129, 119, 125, 128, 13061, 1167, 1189, 8004, 1199, 11739, 1125, 488, 128, 119, 128, 23882, 25869, 1768, 1110, 1318, 12029, 1125, 19441, 1125, 488, 125, 124, 119, 128, 1139, 283, 31495, 1175, 126, 132, 119, 131, 7275, 7921, 116, 23347, 1299, 1735, 8262, 244, 1167, 1125, 488, 124, 124, 1139, 283, 31495, 1175, 125, 123, 7275, 7921, 116, 1186, 6300, 121, 1548, 27214, 1299, 2555, 7153, 244, 1215, 488, 127, 3188, 2518, 16144, 1140, 23142, 160, 488, 124, 125, 161, 488, 127, 132, 126, 121, 1768, 1809, 12301, 1189, 6428, 1272, 18615, 6952, 488, 127, 123, 3403, 1167, 1527, 1299, 27606, 1125, 14235, 1104, 10152, 1129, 3440, 14552, 3023, 1125, 488, 128, 126, 126, 1127, 5784, 2814, 3681, 1839, 26311, 1110, 1189, 10716, 1105, 22563, 19914, 1125, 488, 124, 123, 123, 123, 123, 2709, 1104, 1557, 1554, 1175, 124, 131, 128, 125, 123, 19185, 1576, 1808, 28353, 1554, 1125, 1158, 5971, 29650, 1301, 29000, 31471, 2445, 1197, 2714, 120, 1623, 1842, 1125, 7566, 187, 3023, 24778, 1960, 2397, 8235, 140, 11082, 14627, 1215, 1158, 3385, 13180, 1244, 1192, 2521, 10495, 1901, 121, 106, 106, 147, 15376, 488, 488, 106, 2606, 27214, 1110, 1913, 4021, 244, 1170, 488, 125, 124, 2738, 488, 125, 123, 124, 123, 1313, 1170, 4154, 2134, 5234, 1125, 488, 124, 119, 123, 130, 13149, 1125, 10609, 1835, 1271, 12268, 1105, 12133, 1167, 1158, 28189, 1227, 6455, 1256, 1158, 3459, 8498, 1125, 3203, 28353, 6796, 17933, 1822, 4830, 2460, 1461, 28789, 1673, 18102, 21273, 4716, 15363, 1170, 5234, 121, 3762, 1170, 4154, 1125, 22088, 119, 2069, 1197, 28353, 1554, 19724, 29650, 1301, 29000, 1167, 31853, 24554, 9202, 116, 2004, 1913, 6304, 5193, 1186, 28189, 1227, 30469, 11781, 1309, 1170, 12954, 1757, 3555, 1110, 1913, 13826, 1313, 1170, 20873, 3202, 1132, 1125, 1202, 159, 1202, 2115, 28176, 1575, 1188, 4608, 1219, 16390, 1313, 1170, 4154, 2134, 5059, 1125, 13867, 1125, 3574, 4654, 1548, 1518, 3472, 2068, 1839, 26311, 1110, 1913, 1170, 3151, 2024, 18561, 1554, 1188, 1823, 20107, 244, 1167, 17034, 1186, 6105, 1105, 12133, 1167, 1186, 3187, 1214, 1227, 6455, 30967, 121, 106, 106, 140, 7662, 1170, 21245, 5744, 1186, 2822, 488, 125, 123, 124, 131, 119, 1207, 18123, 2892, 2004, 6593, 1634, 1309, 1170, 20873, 3202, 1132, 1202, 159, 1202, 2115, 1188, 4608, 1219, 16390, 3031, 4202, 1996, 14171, 1256, 1309, 1170, 28353, 1109, 10633, 1823, 10152, 3502, 10976, 1170, 1518, 3472, 2068, 1839, 186, 32001, 488, 106, 32000, 20036, 106, 2606, 1518, 3472, 2068, 1839, 26311, 1175, 127, 123, 128, 116, 1299, 1189, 28353, 1109, 1125, 1158, 19021, 1855, 1105, 1234, 28355, 1768, 1844, 3247, 1125, 1158, 5971, 1539, 1475, 1233, 1307, 186, 19081, 2806, 2445, 17874, 2290, 1170, 1874, 1125, 5971, 29650, 1301, 1141, 2036, 1548, 27214, 1110, 1913, 20107, 244, 1215, 1202, 159, 1202, 2115, 28176, 1575, 1167, 1110, 1913, 17034, 1186, 3012, 488, 125, 123, 124, 132, 121, 3855, 1170, 3151, 28353, 1109, 1188, 1823, 20107, 244, 1186, 6105, 1105, 1234, 4654, 106, 106, 9592, 1416, 8480, 488, 106, 2700, 1232, 1207, 2905, 28353, 1554, 16144, 1140, 120, 244, 2225, 9310, 1125, 5971, 29650, 1301, 1141, 1810, 1170, 1518, 3472, 2068, 1839, 26311, 1110, 1318, 16618, 6696, 3440, 1261, 1125, 488, 129, 124, 119, 125, 13061, 1469, 1318, 30189, 1125, 488, 129, 119, 125, 128, 13061, 1167, 1189, 8004, 1199, 11739, 1125, 488, 128, 119, 128, 23882, 25869, 1768, 1110, 1318, 12029, 1125, 19441, 1125, 488, 125, 124, 119, 128, 1139, 283, 31495, 1175, 126, 132, 119, 131, 7275, 7921, 116, 23347, 1299, 1735, 8262, 244, 1167, 1125, 488, 124, 124, 1139, 283, 31495, 1175, 125, 123, 7275, 7921, 116, 1186, 6300, 121, 1548, 27214, 1299, 2555, 7153, 244, 1215, 488, 127, 3188, 2518, 16144, 1140, 23142, 160, 488, 124, 125, 161, 488, 127, 132, 126, 121, 1768, 1809, 12301, 1189, 6428, 1272, 18615, 6952, 488, 127, 123, 3403, 1167, 1527, 1299, 27606, 1125, 14235, 1104, 12208, 3440, 14552, 3023, 1125, 488, 128, 126, 126, 1127, 5784, 2814, 3681, 1839, 26311, 1110, 1189, 10716, 1105, 22563, 26571, 1125, 488, 124, 123, 123, 123, 123, 2709, 1104, 1557, 1554, 1175, 124, 131, 128, 125, 123, 19185, 1576, 1808, 28353, 1554, 1125, 1158, 5971, 29650, 1301, 29000, 31471, 2445, 1197, 2714, 120, 1623, 1842, 1125, 7566, 187, 3023, 24778, 2635, 2397, 8235, 140, 11082, 14627, 1215, 1158, 3385, 13180, 1244, 1192, 2521, 10495, 1901, 121, 106, 106, 147, 15376, 488, 488, 106, 2606, 27214, 1110, 1913, 4021, 244, 1170, 488, 125, 124, 2738, 488, 125, 123, 124, 123, 1313, 1170, 4154, 2134, 5234, 1125, 488, 124, 119, 123, 130, 31135, 1125, 10609, 1835, 1271, 12268, 1105, 12133, 1167, 1158, 28189, 1227, 6455, 1256, 1158, 3459, 8498, 1125, 3203, 28353, 6796, 17933, 1822, 4830, 2460, 1461, 28789, 1673, 18102, 21273, 4716, 15363, 1170, 5234, 121, 3762, 1170, 4154, 1125, 22088, 119, 2069, 1197, 28353, 1554, 19724, 29650, 1301, 29000, 1167, 31853, 24554, 9202, 116, 2004, 1913, 6304, 5193, 1186, 28189, 1227, 30469, 11781, 1309, 1170, 8483, 1110, 1913, 13826, 1313, 1170, 20873, 3202, 1132, 1125, 1202, 159, 1202, 2115, 28176, 1575, 1188, 4608, 1219, 16390, 1313, 1170, 4154, 2134, 5059, 1125, 13867, 1125, 3574, 4654, 1548, 1518, 3472, 2068, 1839, 26311, 1110, 1913, 1170, 3151, 28353, 1109, 1188, 1823, 20107, 244, 1167, 17034, 1186, 6105, 1105, 12133, 1167, 1186, 3187, 1214, 1227, 6455, 30967, 121, 106, 106, 140, 7662, 1170, 21245, 5744, 1186, 2822, 488, 125, 123, 124, 131, 119, 1207, 18123, 2892, 2004, 12866, 1309, 1170, 20873, 3202, 1132, 1202, 159, 1202, 2115, 1188, 4608, 1219, 16390, 3031, 4202, 1996, 14171, 1256, 1309, 1170, 28353, 1109, 10633, 1823, 10152, 3502, 10976, 1170, 1518, 3472, 2068, 1839, 26311, 1110, 1913, 3902, 1300, 1318, 1138, 2696, 1167, 14663, 244, 1188, 12148, 1124, 1475, 1222, 26787, 1313, 1170, 2076, 20873, 3202, 1132, 1125, 4608, 1219, 1242, 1810, 1188, 3997, 488, 126, 128, 123, 1127, 1125, 14012, 1723, 1170, 28353, 1109, 1110, 1913, 6349, 1501, 8676, 244, 1188, 1594, 20873, 1283, 5668, 3603, 2585, 1527, 1110, 1913, 17034, 1170, 488, 124, 124, 3012, 488, 125, 123, 124, 132, 121, 106, 106, 1686, 3012, 488, 125, 123, 124, 132, 119, 1170, 1518, 3472, 2068, 1839, 26311, 14759, 1823, 3902, 1186, 2424, 1408, 7959, 1816, 5910, 12284, 121, 9997, 1170, 27214, 5441, 1913, 24697, 28692, 12551, 2829, 488, 125, 123, 125, 124, 121, 106, 106, 2606, 1874, 2068, 1839, 1121, 2086, 14719, 2134, 1874, 11813, 1232, 1313, 1158, 4786, 2659, 18509, 3031, 22645, 5943, 31716, 1188, 1189, 28353, 1109, 1125, 5971, 2294, 1120, 2049, 13826, 1215, 16581, 24696, 1960, 1357, 1110, 1913, 5162, 2391, 1125, 31820, 8009, 182, 10831, 1186, 488, 124, 132, 129, 125, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 22260, 488, 106, 12253, 1197, 28353, 1554, 1125, 1282, 12268, 1105, 12133, 106, 106, 158, 1212, 18561, 1109, 22704, 2558, 5937, 4930, 106, 158, 1212, 18561, 1109, 1125, 1158, 19021, 1855, 1105, 1234, 3556, 106, 28437, 1229, 13826, 1186, 6105, 1105, 12133, 106, 141, 13974, 17034, 1186, 488, 125, 123, 124, 132, 106, 3681, 1839, 26311, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1518, 3472, 2068, 1839, 26311, 1175, 127, 123, 128, 116, 1299, 1189, 28353, 1109, 1125, 1158, 19021, 1855, 1105, 1234, 28355, 1768, 1844, 3247, 1125, 1158, 5971, 1539, 1475, 1233, 1307, 186, 19081, 2806, 2445, 17874, 2290, 1170, 1874, 1125, 5971, 29650, 1301, 1141, 2036, 1548, 27214, 1110, 1913, 20107, 244, 1215, 1202, 159, 1202, 2115, 28176, 1575, 1167, 1110, 1913, 17034, 1186, 3012, 488, 125, 123, 124, 132, 121, 3855, 1170, 3151, 28353, 1109, 1188, 1823, 20107, 244, 1186, 6105, 1105, 1234, 4654, 106, 106, 9592, 1416, 8480, 488, 106, 2700, 1232, 1207, 2905, 28353, 1554, 16144, 1140, 120, 244, 2225, 9310, 1125, 5971, 29650, 1301, 1141, 1810, 1170, 1518, 3472, 2068, 1839, 26311, 1110, 1318, 16618, 6696, 3440, 1261, 1125, 488, 129, 124, 119, 125, 13061, 1469, 1318, 30189, 1125, 488, 129, 119, 125, 128, 13061, 1167, 1189, 8004, 1199, 11739, 1125, 488, 128, 119, 128, 23882, 25869, 1768, 1110, 1318, 12029, 1125, 19441, 1125, 488, 125, 124, 119, 128, 1139, 283, 31495, 1175, 126, 132, 119, 131, 7275, 7921, 116, 23347, 1299, 1735, 8262, 244, 1167, 1125, 488, 124, 124, 1139, 283, 31495, 1175, 125, 123, 7275, 7921, 116, 1186, 6300, 121, 1548, 27214, 1299, 2555, 7153, 244, 1215, 488, 127, 3188, 2518, 16144, 1140, 23142, 160, 488, 124, 125, 161, 488, 127, 132, 126, 121, 1768, 1809, 12301, 1189, 6428, 1272, 18615, 6952, 488, 127, 123, 3403, 1167, 1527, 1299, 27606, 1125, 14235, 1104, 12208, 3440, 14552, 3023, 1125, 488, 128, 126, 126, 1127, 5784, 2814, 3681, 1839, 26311, 1110, 1189, 10716, 1105, 22563, 26571, 1125, 488, 124, 123, 123, 123, 123, 2709, 1104, 1557, 1554, 1175, 124, 131, 128, 125, 123, 19185, 1576, 1808, 28353, 1554, 1125, 1158, 5971, 29650, 1301, 29000, 31471, 2445, 1197, 2714, 120, 1623, 1842, 1125, 7566, 187, 3023, 24778, 2635, 2397, 8235, 140, 11082, 14627, 1215, 1158, 3385, 13180, 1244, 1192, 2521, 10495, 1901, 121, 106, 106, 147, 15376, 488, 488, 106, 2606, 27214, 1110, 1913, 4021, 244, 1170, 488, 125, 124, 2738, 488, 125, 123, 124, 123, 1313, 1170, 4154, 2134, 5234, 1125, 488, 124, 119, 123, 130, 31135, 1125, 10609, 1835, 1271, 12268, 1105, 12133, 1167, 1158, 28189, 1227, 6455, 1256, 1158, 3459, 8498, 1125, 3203, 28353, 6796, 17933, 1822, 4830, 2460, 1461, 28789, 1673, 18102, 21273, 4716, 15363, 1170, 5234, 121, 3762, 1170, 4154, 1125, 22088, 119, 2069, 1197, 28353, 1554, 19724, 29650, 1301, 29000, 1167, 31853, 24554, 9202, 116, 2004, 1913, 6304, 5193, 1186, 28189, 1227, 30469, 11781, 1309, 1170, 8483, 1110, 1913, 13826, 1313, 1170, 20873, 3202, 1132, 1125, 1202, 159, 1202, 2115, 28176, 1575, 1188, 4608, 1219, 16390, 1313, 1170, 4154, 2134, 5059, 1125, 13867, 1125, 3574, 4654, 1548, 1518, 3472, 2068, 1839, 26311, 1110, 1913, 1170, 3151, 28353, 1109, 1188, 1823, 20107, 244, 1167, 17034, 1186, 6105, 1105, 12133, 1167, 1186, 3187, 1214, 1227, 6455, 30967, 121, 106, 106, 140, 7662, 1170, 21245, 5744, 1186, 2822, 488, 125, 123, 124, 131, 119, 1207, 18123, 2892, 2004, 12866, 1309, 1170, 20873, 3202, 1132, 1202, 159, 1202, 2115, 1188, 4608, 1219, 16390, 3031, 4202, 1996, 14171, 1256, 1309, 1170, 28353, 1109, 10633, 1823, 10152, 3502, 10976, 1170, 1518, 3472, 2068, 1839, 26311, 1110, 1913, 3902, 1300, 1318, 1138, 2696, 1167, 14663, 244, 1188, 12148, 1124, 1475, 1222, 26787, 1313, 1170, 2076, 20873, 3202, 1132, 1125, 4608, 1219, 1242, 1810, 1188, 3997, 488, 126, 128, 123, 1127, 1125, 14012, 1723, 1170, 28353, 1109, 1110, 1913, 6349, 1501, 8676, 244, 1188, 1594, 20873, 1283, 5668, 3603, 2585, 1527, 1110, 1913, 17034, 1170, 488, 124, 124, 3012, 488, 125, 123, 124, 132, 121, 106, 106, 1686, 3012, 488, 125, 123, 124, 132, 119, 1170, 1518, 3472, 2068, 1839, 26311, 14759, 1823, 3902, 1186, 2424, 1408, 7959, 1816, 5910, 12284, 121, 9997, 1170, 27214, 5441, 1913, 24697, 28692, 12551, 2829, 488, 125, 123, 125, 124, 121, 106, 106, 2606, 1874, 2068, 1839, 1121, 2086, 14719, 2134, 1874, 11813, 1232, 1313, 1158, 4786, 2659, 18509, 3031, 22645, 5943, 31716, 1188, 1189, 28353, 1109, 1125, 5971, 2294, 1120, 2049, 13826, 1215, 16581, 24696, 1960, 1357, 1110, 1913, 5162, 2391, 1125, 31820, 8009, 182, 10831, 1186, 488, 124, 132, 129, 125, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 22260, 488, 106, 12253, 1197, 28353, 1554, 1125, 1282, 12268, 1105, 12133, 106, 106, 158, 1212, 18561, 1109, 22704, 2558, 5937, 4930, 106, 158, 1212, 18561, 1109, 1125, 1158, 19021, 1855, 1105, 1234, 3556, 106, 28437, 1229, 13826, 1186, 6105, 1105, 12133, 106, 141, 13974, 17034, 1186, 488, 125, 123, 124, 132, 106, 3681, 1839, 26311, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 2487, 1170, 1874, 9229, 1299, 4836, 1839, 14183, 14664, 114, 178, 1724, 188, 8624, 2121, 1299, 1318, 16880, 12887, 22330, 1724, 1244, 1317, 8579, 1317, 26015, 3450, 1299, 20936, 1188, 4836, 1839, 14183, 119, 1318, 8166, 4655, 2794, 10019, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 28355, 1653, 488, 125, 123, 124, 129, 119, 2399, 1110, 1318, 5740, 27172, 1125, 1939, 3450, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 1167, 1299, 14553, 1303, 1317, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 1137, 3266, 106, 106, 143, 2035, 4134, 1808, 4634, 1125, 1158, 12887, 1125, 4836, 1839, 14183, 1508, 1197, 26523, 24146, 1285, 2445, 26956, 14664, 114, 178, 1724, 16157, 1653, 1859, 1158, 11350, 1110, 1318, 5740, 27172, 12808, 1125, 2487, 7184, 2457, 6696, 8166, 121, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 19910, 5373, 1119, 1125, 1158, 5740, 1299, 1125, 1939, 106, 106, 146, 22857, 1548, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 20031, 1300, 1158, 8166, 4655, 2794, 1125, 4836, 1839, 14183, 10019, 5639, 1125, 27746, 4270, 11809, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 3556, 1313, 5613, 1243, 1227, 8579, 121, 25066, 4112, 17657, 1318, 27929, 1125, 1939, 1548, 4779, 1125, 2882, 8446, 1170, 1408, 5639, 1299, 8830, 20043, 2333, 1317, 20835, 3551, 5342, 13133, 2057, 1167, 1158, 3837, 10604, 1158, 1408, 9993, 1299, 8579, 121, 106, 106, 151, 1475, 1277, 1643, 7577, 1197, 26523, 184, 21879, 1299, 1170, 22330, 184, 15316, 1318, 7577, 1125, 1158, 4446, 1197, 15532, 17848, 1105, 1134, 5580, 1457, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 1300, 1318, 5740, 12808, 1125, 1859, 488, 125, 131, 119, 128, 2199, 1125, 1158, 5740, 29707, 1318, 7577, 1574, 5200, 191, 21156, 6487, 21802, 2121, 488, 125, 127, 119, 127, 2199, 2004, 1318, 7577, 1574, 5200, 191, 1438, 2743, 10110, 1303, 1167, 25667, 1186, 4083, 1309, 7577, 14603, 1378, 1167, 488, 124, 129, 119, 126, 2199, 10110, 1129, 1318, 7577, 1574, 5200, 191, 1438, 1188, 1158, 25478, 1653, 1440, 1357, 1110, 14743, 1571, 15532, 11131, 10708, 488, 125, 125, 119, 130, 2199, 1125, 1158, 5740, 29707, 1207, 2069, 1167, 1170, 4933, 18197, 5125, 1282, 13398, 21194, 106, 106, 146, 1958, 2500, 1643, 12887, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 119, 13348, 1170, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 18640, 3702, 1189, 4367, 1304, 7771, 20031, 1300, 1158, 4960, 488, 124, 124, 1125, 1158, 17938, 1300, 1207, 4993, 1108, 1297, 2616, 1170, 13838, 1125, 488, 125, 123, 124, 129, 1188, 488, 125, 123, 124, 131, 119, 1440, 5809, 1299, 13644, 1227, 6513, 1222, 4691, 196, 1293, 2091, 1167, 1125, 1939, 1643, 11350, 1844, 3247, 1227, 5809, 7404, 1132, 1227, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 1357, 9016, 1207, 3203, 19729, 22330, 1724, 1485, 1125, 1158, 1293, 11204, 1234, 4654, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 4836, 1839, 14183, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 26523, 184, 21879, 12253, 1197, 29011, 4655, 6542, 1317, 8579, 12507, 1227, 1561, 1255, 1105, 1125, 1158, 16271, 6488, 1404, 106, 106, 28870, 5825, 1222, 18715, 1300, 1158, 16880, 12887, 1215, 25274, 1574, 5200, 2333, 1104, 1167, 1227, 6973, 6372, 106, 106, 16543, 16460, 4880, 6432, 1902, 17802, 1125, 21836, 116, 12956, 1675, 1356, 20368, 1108, 1317, 6372, 3698, 5200, 191, 1438, 1227, 8579, 26523, 184, 21879, 32001, 488, 106, 32000, 20036, 106, 2606, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 2487, 1170, 1874, 9229, 1299, 4836, 1839, 14183, 14664, 114, 178, 1724, 188, 8624, 2121, 1299, 1318, 16880, 12887, 22330, 1724, 1244, 1317, 8579, 1317, 26015, 3450, 1299, 20936, 1188, 4836, 1839, 14183, 119, 1318, 8166, 4655, 2794, 10019, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 28355, 1653, 488, 125, 123, 124, 129, 119, 2399, 1110, 1318, 5740, 27172, 1125, 1939, 3450, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 1167, 1299, 14553, 1303, 1317, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 1137, 3266, 106, 106, 143, 2035, 4134, 488, 106, 4455, 4634, 1125, 1158, 12887, 1125, 4836, 1839, 14183, 1508, 1197, 26523, 24146, 1285, 2445, 26956, 14664, 114, 178, 1724, 16157, 1653, 1859, 1158, 11350, 1110, 1318, 5740, 27172, 12808, 1125, 488, 2487, 488, 7184, 2457, 6696, 8166, 121, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 19910, 5373, 1119, 1125, 1158, 5740, 1299, 1125, 1939, 106, 106, 146, 22857, 488, 106, 2606, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 20031, 1300, 1158, 8166, 4655, 2794, 1125, 4836, 1839, 14183, 10019, 5639, 1125, 27746, 4270, 11809, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 3556, 1313, 5613, 1243, 1227, 8579, 121, 25066, 4112, 17657, 1318, 27929, 1125, 1939, 1548, 4779, 1125, 2882, 8446, 1170, 1408, 5639, 1299, 8830, 20043, 2333, 1317, 20835, 3551, 5342, 13133, 2057, 1167, 1158, 3837, 10604, 1158, 1408, 9993, 1299, 8579, 121, 106, 106, 151, 1475, 1277, 488, 106, 3562, 7577, 1197, 26523, 184, 21879, 1299, 1170, 22330, 184, 15316, 1318, 7577, 1125, 1158, 4446, 1197, 15532, 17848, 1105, 1134, 5580, 1457, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 1300, 1318, 5740, 12808, 1125, 1859, 488, 125, 131, 119, 128, 2199, 1125, 1158, 5740, 29707, 1318, 7577, 1574, 5200, 191, 21156, 6487, 21802, 2121, 488, 125, 127, 119, 127, 2199, 2004, 1318, 7577, 1574, 5200, 191, 1438, 2743, 10110, 1303, 1167, 25667, 1186, 4083, 1309, 7577, 14603, 1378, 1167, 488, 124, 129, 119, 126, 2199, 10110, 1129, 1318, 7577, 1574, 5200, 191, 1438, 1188, 1158, 25478, 1653, 1440, 1357, 1110, 14743, 1571, 15532, 11131, 10708, 488, 125, 125, 119, 130, 2199, 1125, 1158, 5740, 29707, 1207, 2069, 1167, 1170, 4933, 2034, 1370, 5125, 1282, 13398, 21194, 106, 106, 146, 1958, 2500, 488, 106, 3562, 12887, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 119, 13348, 1170, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 18640, 3702, 1189, 4367, 1304, 7771, 20031, 1300, 1158, 4960, 488, 124, 124, 1125, 1158, 17938, 1300, 1207, 4993, 1108, 1297, 2616, 1170, 13838, 1125, 488, 125, 123, 124, 129, 1188, 488, 125, 123, 124, 131, 119, 1440, 5809, 1299, 13644, 1227, 6513, 1222, 4691, 196, 1293, 2091, 1167, 1125, 1939, 1643, 11350, 1844, 3247, 1227, 5809, 7404, 1132, 1227, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 1357, 9016, 1207, 3203, 19729, 22330, 1724, 1485, 1125, 1158, 1293, 11204, 1234, 4654, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 4836, 1839, 14183, 106, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 106, 26523, 184, 21879, 106, 12253, 1197, 29011, 4655, 6542, 1317, 8579, 106, 12507, 1227, 1561, 1255, 1105, 1125, 1158, 16271, 6488, 1404, 106, 106, 28870, 5825, 488, 106, 488, 488, 106, 1222, 18715, 1300, 1158, 16880, 12887, 1215, 25274, 1574, 5200, 2333, 1104, 1167, 1227, 6973, 6372, 106, 106, 16543, 16460, 4880, 6432, 1902, 17802, 1125, 21836, 116, 106, 146, 1958, 2500, 1675, 1356, 20368, 1108, 1317, 6372, 106, 4303, 5200, 191, 1438, 1227, 8579, 106, 152, 1146, 24146, 7394, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 2487, 1170, 1874, 9229, 1299, 4836, 1839, 14183, 14664, 114, 178, 1724, 188, 8624, 2121, 1299, 1318, 16880, 12887, 22330, 1724, 1244, 1317, 8579, 1317, 26015, 3450, 1299, 20936, 1188, 4836, 1839, 14183, 119, 1318, 8166, 4655, 2794, 10019, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 28355, 1653, 488, 125, 123, 124, 129, 119, 2399, 1110, 1318, 5740, 27172, 1125, 1939, 3450, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 1167, 1299, 14553, 1303, 1317, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 1137, 3266, 106, 106, 143, 2035, 4134, 488, 106, 4455, 4634, 1125, 1158, 12887, 1125, 4836, 1839, 14183, 1508, 1197, 26523, 24146, 1285, 2445, 26956, 14664, 114, 178, 1724, 16157, 1653, 1859, 1158, 11350, 1110, 1318, 5740, 27172, 12808, 1125, 488, 2487, 488, 7184, 2457, 6696, 8166, 121, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 19910, 5373, 1119, 1125, 1158, 5740, 1299, 1125, 1939, 106, 106, 146, 22857, 488, 106, 2606, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 20031, 1300, 1158, 8166, 4655, 2794, 1125, 4836, 1839, 14183, 10019, 5639, 1125, 27746, 4270, 11809, 1300, 1158, 2811, 1196, 7758, 1125, 1158, 6662, 1554, 1890, 8292, 187, 1234, 3556, 1313, 5613, 1243, 1227, 8579, 121, 25066, 4112, 17657, 1318, 27929, 1125, 1939, 1548, 4779, 1125, 2882, 8446, 1170, 1408, 5639, 1299, 8830, 20043, 2333, 1317, 20835, 3551, 5342, 13133, 2057, 1167, 1158, 3837, 10604, 1158, 1408, 9993, 1299, 8579, 121, 106, 106, 151, 1475, 1277, 488, 106, 3562, 7577, 1197, 26523, 184, 21879, 1299, 1170, 22330, 184, 15316, 1318, 7577, 1125, 1158, 4446, 1197, 15532, 17848, 1105, 1134, 5580, 1457, 12427, 1170, 30987, 1125, 488, 125, 123, 124, 124, 1125, 1753, 2598, 1960, 17664, 1300, 1318, 5740, 12808, 1125, 1859, 488, 125, 131, 119, 128, 2199, 1125, 1158, 5740, 29707, 1318, 7577, 1574, 5200, 191, 21156, 6487, 21802, 2121, 488, 125, 127, 119, 127, 2199, 2004, 1318, 7577, 1574, 5200, 191, 1438, 2743, 10110, 1303, 1167, 25667, 1186, 4083, 1309, 7577, 14603, 1378, 1167, 488, 124, 129, 119, 126, 2199, 10110, 1129, 1318, 7577, 1574, 5200, 191, 1438, 1188, 1158, 25478, 1653, 1440, 1357, 1110, 14743, 1571, 15532, 11131, 10708, 488, 125, 125, 119, 130, 2199, 1125, 1158, 5740, 29707, 1207, 2069, 1167, 1170, 4933, 2034, 1370, 5125, 1282, 13398, 21194, 106, 106, 146, 1958, 2500, 488, 106, 3562, 12887, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 1299, 12495, 1303, 1215, 1189, 5809, 1125, 11350, 119, 13348, 1170, 12956, 6534, 114, 178, 1724, 188, 1125, 4836, 1839, 14183, 119, 18640, 3702, 1189, 4367, 1304, 7771, 20031, 1300, 1158, 4960, 488, 124, 124, 1125, 1158, 17938, 1300, 1207, 4993, 1108, 1297, 2616, 1170, 13838, 1125, 488, 125, 123, 124, 129, 1188, 488, 125, 123, 124, 131, 119, 1440, 5809, 1299, 13644, 1227, 6513, 1222, 4691, 196, 1293, 2091, 1167, 1125, 1939, 1643, 11350, 1844, 3247, 1227, 5809, 7404, 1132, 1227, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 1357, 9016, 1207, 3203, 19729, 22330, 1724, 1485, 1125, 1158, 1293, 11204, 1234, 4654, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 4836, 1839, 14183, 106, 4291, 8170, 8423, 14664, 114, 178, 1724, 27448, 1204, 2554, 180, 22579, 106, 26523, 184, 21879, 106, 12253, 1197, 29011, 4655, 6542, 1317, 8579, 106, 12507, 1227, 1561, 1255, 1105, 1125, 1158, 16271, 6488, 1404, 106, 106, 28870, 5825, 488, 106, 488, 488, 106, 1222, 18715, 1300, 1158, 16880, 12887, 1215, 25274, 1574, 5200, 2333, 1104, 1167, 1227, 6973, 6372, 106, 106, 16543, 16460, 4880, 6432, 1902, 17802, 1125, 21836, 116, 106, 146, 1958, 2500, 1675, 1356, 20368, 1108, 1317, 6372, 106, 4303, 5200, 191, 1438, 1227, 8579, 106, 152, 1146, 24146, 7394, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 6797, 1121, 2323, 8755, 1142, 1475, 16086, 1896, 1142, 4419, 1303, 1170, 488, 127, 2578, 488, 124, 132, 131, 129, 116, 1299, 1189, 6792, 1836, 1197, 5796, 172, 5160, 13461, 14662, 3473, 2010, 1740, 4586, 1303, 1571, 4322, 19754, 14609, 15871, 7778, 1167, 1571, 10765, 1125, 1158, 26523, 2548, 1234, 4654, 106, 106, 141, 11741, 106, 159, 1320, 1896, 1142, 1110, 1913, 14045, 1245, 14609, 15871, 7778, 1186, 10251, 6772, 3523, 1207, 2864, 1125, 488, 124, 125, 123, 14829, 1167, 12497, 9037, 1916, 1231, 1245, 1186, 10251, 1638, 1416, 3589, 3511, 2100, 1313, 1158, 2076, 6964, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 149, 4814, 19411, 106, 159, 1320, 1896, 1142, 13300, 1188, 1909, 7790, 10765, 19411, 2391, 1197, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 1188, 1202, 244, 11322, 1186, 12278, 1186, 10251, 6772, 121, 106, 106, 5164, 1440, 5916, 1214, 1256, 1207, 10765, 19411, 4855, 1188, 1561, 14789, 1313, 1158, 6964, 1197, 2864, 1125, 488, 124, 125, 123, 14829, 1186, 10251, 6772, 2391, 1197, 6707, 19754, 14609, 15871, 7778, 488, 125, 123, 123, 131, 1357, 2004, 4795, 3601, 1188, 3288, 1620, 1154, 1186, 6801, 1214, 1227, 488, 131, 1317, 488, 124, 123, 18802, 31975, 488, 125, 123, 123, 131, 1167, 1186, 23516, 1199, 3247, 1197, 10600, 6792, 3051, 1167, 10251, 3027, 5916, 8062, 1215, 1318, 6086, 17794, 1125, 1158, 1252, 2660, 140, 1167, 1227, 12033, 2455, 11643, 1125, 14097, 174, 11547, 2620, 1188, 1158, 1622, 1197, 6707, 19754, 14609, 174, 11547, 4654, 106, 106, 5164, 1466, 191, 1594, 9524, 2714, 1170, 13366, 2607, 20312, 254, 21136, 3567, 488, 123, 120, 129, 119, 488, 124, 120, 130, 121, 9997, 1527, 14489, 1188, 22190, 1170, 3151, 2151, 2335, 6792, 1836, 1227, 5796, 23190, 1571, 10765, 19411, 2757, 1309, 1594, 1417, 9736, 2303, 4172, 1198, 2565, 1510, 28430, 23210, 1382, 14489, 1188, 22190, 1125, 4153, 5999, 2165, 22645, 5943, 1856, 1440, 2934, 1170, 2015, 1125, 1594, 3419, 1417, 9736, 2303, 3985, 2525, 15814, 1108, 3985, 194, 1298, 1313, 1158, 6964, 1197, 2864, 1125, 488, 128, 128, 14829, 1186, 10251, 1638, 1416, 3589, 3511, 23231, 106, 106, 155, 26361, 106, 158, 6495, 1257, 106, 106, 149, 4814, 19411, 106, 106, 146, 2066, 1108, 5623, 8276, 106, 106, 2330, 1916, 19754, 14609, 15871, 7778, 106, 106, 149, 4814, 1125, 1158, 26523, 2548, 12133, 106, 106, 10853, 106, 106, 151, 1354, 16718, 106, 145, 3352, 1227, 6792, 1836, 1300, 1170, 1865, 1125, 1158, 1252, 2660, 6687, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 131, 129, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 129, 106, 158, 2284, 1533, 6385, 23190, 1354, 106, 155, 2529, 2065, 1154, 1326, 1334, 13461, 7165, 32001, 488, 106, 32000, 20036, 106, 6797, 1121, 2323, 8755, 1142, 1475, 16086, 1896, 1142, 24051, 1170, 488, 127, 2578, 488, 124, 132, 131, 129, 116, 1299, 1189, 6792, 1836, 1197, 5796, 172, 5160, 13461, 11493, 3473, 2010, 1740, 4586, 244, 1571, 4322, 19754, 14609, 15871, 7778, 1167, 1571, 10765, 1125, 1158, 26523, 2548, 1234, 4654, 106, 106, 141, 11741, 106, 159, 1320, 1896, 1142, 1110, 1913, 14045, 14609, 15871, 7778, 1186, 10251, 6772, 3523, 1207, 2864, 1125, 488, 124, 125, 123, 14829, 1167, 12497, 9037, 1916, 1231, 1186, 10251, 1638, 1416, 3589, 3511, 2100, 1313, 1158, 2076, 6964, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 149, 4814, 19411, 106, 159, 1320, 1896, 1142, 13300, 1188, 1909, 7790, 10765, 19411, 2391, 1197, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 1188, 1202, 244, 11322, 1186, 12278, 1186, 10251, 6772, 121, 106, 106, 5164, 1281, 5916, 1214, 1256, 1207, 10765, 19411, 4855, 1188, 1561, 14789, 1313, 1158, 6964, 1197, 2864, 1125, 488, 124, 125, 123, 14829, 1186, 10251, 6772, 2391, 1197, 6707, 19754, 14609, 15871, 7778, 488, 125, 123, 123, 131, 1357, 2004, 4795, 3601, 1188, 3288, 1620, 1154, 1186, 6801, 1214, 1227, 488, 131, 1317, 488, 124, 123, 3141, 488, 125, 123, 123, 131, 1167, 1186, 9005, 3247, 1197, 10600, 6792, 3051, 1167, 10251, 3027, 5916, 8062, 1215, 1318, 6086, 17794, 1125, 1158, 1252, 2660, 140, 1167, 1227, 12033, 2455, 11643, 1125, 14097, 174, 11547, 2620, 1188, 1158, 1622, 1197, 6707, 19754, 14609, 174, 11547, 4654, 106, 106, 5164, 7171, 1594, 9524, 2714, 1170, 13366, 2607, 20312, 254, 21136, 3567, 488, 123, 120, 129, 119, 488, 124, 120, 130, 121, 9997, 1527, 8524, 1123, 1188, 1557, 3393, 1170, 3151, 2151, 2335, 6792, 1836, 1227, 5796, 23190, 1571, 10765, 19411, 2757, 1309, 1594, 1417, 9736, 2303, 4172, 1198, 2565, 1510, 28430, 23210, 1382, 14489, 1188, 1557, 3393, 1125, 4153, 5999, 2165, 22645, 5943, 1856, 1440, 2934, 1170, 2015, 1125, 1594, 3419, 1417, 9736, 2303, 3985, 2525, 15814, 1108, 3985, 194, 1298, 1313, 1158, 6964, 1197, 2864, 1125, 488, 128, 128, 14829, 1186, 10251, 1638, 1416, 3589, 3511, 23231, 106, 106, 155, 26361, 106, 7244, 133, 106, 106, 149, 4814, 19411, 106, 106, 146, 2066, 1108, 5623, 8276, 106, 106, 2330, 1916, 19754, 14609, 15871, 7778, 106, 106, 149, 4814, 1125, 1158, 26523, 2548, 12133, 106, 106, 10853, 106, 106, 151, 1354, 16718, 106, 145, 3352, 1227, 6792, 1836, 1300, 1170, 1865, 1125, 1158, 1252, 2660, 6687, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 131, 129, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 129, 106, 158, 2284, 1533, 6385, 23190, 1354, 106, 155, 2529, 2065, 1154, 1326, 1334, 13461, 7165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 6797, 1121, 2323, 8755, 1142, 1475, 16086, 1896, 1142, 24051, 1170, 488, 127, 2578, 488, 124, 132, 131, 129, 116, 1299, 1189, 6792, 1836, 1197, 5796, 172, 5160, 13461, 11493, 3473, 2010, 1740, 4586, 244, 1571, 4322, 19754, 14609, 15871, 7778, 1167, 1571, 10765, 1125, 1158, 26523, 2548, 1234, 4654, 106, 106, 141, 11741, 106, 159, 1320, 1896, 1142, 1110, 1913, 14045, 14609, 15871, 7778, 1186, 10251, 6772, 3523, 1207, 2864, 1125, 488, 124, 125, 123, 14829, 1167, 12497, 9037, 1916, 1231, 1186, 10251, 1638, 1416, 3589, 3511, 2100, 1313, 1158, 2076, 6964, 1186, 488, 125, 123, 123, 131, 121, 106, 106, 149, 4814, 19411, 106, 159, 1320, 1896, 1142, 13300, 1188, 1909, 7790, 10765, 19411, 2391, 1197, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 1188, 1202, 244, 11322, 1186, 12278, 1186, 10251, 6772, 121, 106, 106, 5164, 1281, 5916, 1214, 1256, 1207, 10765, 19411, 4855, 1188, 1561, 14789, 1313, 1158, 6964, 1197, 2864, 1125, 488, 124, 125, 123, 14829, 1186, 10251, 6772, 2391, 1197, 6707, 19754, 14609, 15871, 7778, 488, 125, 123, 123, 131, 1357, 2004, 4795, 3601, 1188, 3288, 1620, 1154, 1186, 6801, 1214, 1227, 488, 131, 1317, 488, 124, 123, 3141, 488, 125, 123, 123, 131, 1167, 1186, 9005, 3247, 1197, 10600, 6792, 3051, 1167, 10251, 3027, 5916, 8062, 1215, 1318, 6086, 17794, 1125, 1158, 1252, 2660, 140, 1167, 1227, 12033, 2455, 11643, 1125, 14097, 174, 11547, 2620, 1188, 1158, 1622, 1197, 6707, 19754, 14609, 174, 11547, 4654, 106, 106, 5164, 7171, 1594, 9524, 2714, 1170, 13366, 2607, 20312, 254, 21136, 3567, 488, 123, 120, 129, 119, 488, 124, 120, 130, 121, 9997, 1527, 8524, 1123, 1188, 1557, 3393, 1170, 3151, 2151, 2335, 6792, 1836, 1227, 5796, 23190, 1571, 10765, 19411, 2757, 1309, 1594, 1417, 9736, 2303, 4172, 1198, 2565, 1510, 28430, 23210, 1382, 14489, 1188, 1557, 3393, 1125, 4153, 5999, 2165, 22645, 5943, 1856, 1440, 2934, 1170, 2015, 1125, 1594, 3419, 1417, 9736, 2303, 3985, 2525, 15814, 1108, 3985, 194, 1298, 1313, 1158, 6964, 1197, 2864, 1125, 488, 128, 128, 14829, 1186, 10251, 1638, 1416, 3589, 3511, 23231, 106, 106, 155, 26361, 106, 7244, 133, 106, 106, 149, 4814, 19411, 106, 106, 146, 2066, 1108, 5623, 8276, 106, 106, 2330, 1916, 19754, 14609, 15871, 7778, 106, 106, 149, 4814, 1125, 1158, 26523, 2548, 12133, 106, 106, 10853, 106, 106, 151, 1354, 16718, 106, 145, 3352, 1227, 6792, 1836, 1300, 1170, 1865, 1125, 1158, 1252, 2660, 6687, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 131, 129, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 131, 106, 151, 1178, 1836, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 129, 106, 158, 2284, 1533, 6385, 23190, 1354, 106, 155, 2529, 2065, 1154, 1326, 1334, 13461, 7165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 12781, 5252, 1188, 17448, 4260, 1170, 488, 125, 128, 3012, 488, 124, 131, 128, 131, 1167, 4541, 1188, 2801, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 119, 1299, 1189, 13652, 1167, 5598, 3657, 24610, 106, 106, 141, 11741, 488, 106, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 1118, 1299, 1170, 8658, 1125, 7422, 8157, 27505, 5763, 1216, 12781, 22652, 1125, 12700, 9533, 1197, 25531, 1125, 1131, 1657, 6218, 1238, 2927, 3497, 1608, 3561, 25191, 5763, 1216, 12781, 1299, 13652, 1188, 29276, 1105, 7890, 1278, 1496, 11781, 1309, 1594, 1238, 2927, 14603, 3561, 12197, 1435, 26233, 2982, 1299, 1375, 1369, 1188, 10447, 1210, 2305, 106, 106, 140, 2136, 2782, 4319, 244, 1856, 1455, 2244, 1125, 1375, 1369, 1186, 16675, 1307, 6664, 26417, 5763, 1216, 1118, 7354, 13652, 1188, 6721, 2585, 1527, 8718, 1215, 18566, 2282, 1317, 11071, 19294, 4930, 1167, 1186, 2107, 16724, 1120, 1457, 106, 106, 16543, 9410, 1188, 1158, 2107, 9554, 1125, 2801, 4796, 488, 124, 131, 131, 128, 119, 14698, 1125, 1158, 29196, 1197, 22965, 1889, 1186, 488, 124, 131, 131, 131, 119, 5763, 1216, 1118, 1110, 1256, 1776, 189, 2805, 1167, 11406, 22317, 23503, 2323, 2433, 21686, 1173, 8043, 3683, 14363, 7311, 7658, 5612, 1863, 1203, 4618, 1167, 21686, 1306, 1219, 10366, 2932, 4755, 1282, 15896, 1245, 1186, 3657, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 131, 123, 119, 1186, 2435, 3126, 1199, 1125, 12495, 1107, 1197, 20565, 20237, 2137, 17315, 1475, 4195, 1186, 10660, 121, 106, 106, 143, 1757, 2165, 1408, 14429, 3341, 5763, 1216, 1118, 1299, 1170, 9293, 1136, 1125, 1306, 1219, 1494, 3817, 1440, 4755, 1299, 14844, 2357, 1571, 17206, 1125, 1222, 1356, 2610, 6106, 119, 11884, 2784, 1190, 244, 2714, 1158, 7732, 121, 6053, 1188, 3631, 1188, 1158, 3221, 1125, 1594, 1776, 189, 6909, 6711, 1856, 2435, 1125, 1158, 15696, 1197, 31510, 1190, 1346, 3365, 7988, 1125, 1281, 11055, 1856, 3624, 8765, 1571, 13118, 30535, 1125, 2738, 488, 124, 132, 123, 123, 121, 1165, 17389, 1128, 1313, 1170, 12311, 1293, 4586, 2114, 1527, 1251, 10907, 1317, 2423, 3543, 1170, 11538, 21961, 2059, 2654, 2038, 5016, 2851, 1252, 3567, 195, 2893, 2291, 5904, 121, 2605, 10536, 28262, 21467, 1227, 5809, 4610, 1125, 1158, 18141, 1170, 488, 128, 3201, 488, 124, 132, 123, 124, 119, 1527, 1299, 1338, 1819, 192, 11538, 17023, 1317, 3151, 3543, 1186, 488, 124, 132, 123, 127, 1167, 1186, 488, 124, 132, 123, 131, 121, 106, 106, 1686, 488, 124, 132, 123, 126, 119, 5763, 1216, 1118, 17904, 1317, 12033, 1279, 27587, 1125, 1158, 18409, 5277, 4690, 21983, 1647, 1838, 9232, 1215, 2605, 30590, 7238, 1255, 1258, 121, 106, 106, 152, 1132, 2240, 2757, 3171, 15223, 5763, 1216, 1118, 19859, 1197, 1335, 3077, 2519, 10317, 1317, 1131, 8103, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 121, 6982, 1197, 13214, 27019, 24925, 1473, 1186, 22938, 3281, 4379, 1839, 18906, 1125, 6721, 1527, 1299, 14786, 11125, 1188, 10447, 1210, 2305, 106, 106, 1686, 488, 124, 131, 132, 124, 119, 26417, 5763, 1216, 1118, 3618, 3391, 1212, 244, 5612, 1314, 120, 5522, 7821, 1204, 1487, 190, 2765, 5921, 1125, 5612, 1204, 1487, 190, 2765, 1776, 189, 1450, 1227, 1557, 3649, 1188, 1158, 2107, 5751, 7112, 17220, 1125, 2770, 8658, 2004, 4766, 1910, 1188, 1158, 16880, 12507, 5549, 5907, 2576, 1145, 1304, 31453, 1170, 1557, 7197, 1132, 1197, 2341, 1120, 2605, 184, 1399, 4101, 1308, 1354, 3046, 7060, 5763, 1216, 1118, 1175, 124, 131, 132, 130, 120, 124, 132, 124, 131, 1496, 1110, 1913, 30893, 1186, 9524, 12431, 1108, 19227, 1125, 16422, 9728, 1170, 488, 125, 126, 3201, 488, 124, 132, 124, 131, 121, 106, 106, 141, 13449, 488, 106, 106, 152, 4691, 1140, 1306, 1219, 18284, 1606, 26417, 5763, 1216, 1118, 3133, 21433, 13585, 1125, 1282, 15297, 1675, 27562, 1197, 11034, 1690, 1167, 13713, 11034, 1690, 1125, 1158, 29196, 1197, 22965, 1889, 1188, 6721, 1859, 1266, 1452, 1762, 5763, 2104, 23237, 193, 1154, 1422, 119, 488, 124, 132, 124, 126, 119, 1939, 31093, 1321, 1172, 1762, 29749, 3260, 11565, 1167, 22453, 1227, 3624, 10224, 2720, 1175, 124, 131, 131, 123, 120, 124, 132, 123, 123, 1496, 6721, 16131, 10483, 6707, 4986, 488, 125, 123, 123, 128, 119, 1939, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 3012, 488, 124, 131, 128, 131, 1266, 3400, 1188, 17448, 4260, 3942, 9410, 2720, 1227, 26851, 6298, 1233, 2610, 1475, 2038, 4486, 3579, 17023, 1125, 2801, 31128, 1125, 1158, 15696, 1197, 31510, 3330, 1645, 2011, 2035, 19722, 1232, 1186, 2315, 4291, 25013, 1125, 1158, 29196, 1175, 4612, 1112, 1334, 1125, 2801, 116, 6064, 1467, 1186, 2829, 488, 124, 132, 123, 132, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 128, 123, 2165, 114, 32001, 488, 106, 32000, 20036, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 12781, 5252, 1188, 17448, 4260, 1170, 488, 125, 128, 3012, 488, 124, 131, 128, 131, 1167, 4541, 1188, 2801, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 119, 1299, 1189, 13652, 1167, 5598, 3657, 24610, 106, 106, 141, 11741, 488, 106, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 1118, 1299, 1170, 8658, 1125, 7422, 8157, 27505, 5763, 1216, 12781, 22652, 1125, 12700, 9533, 1197, 25531, 1125, 1131, 1657, 6218, 1238, 2927, 3497, 1608, 3561, 25191, 5763, 1216, 12781, 1299, 13652, 1188, 29276, 1105, 7890, 1278, 1496, 11781, 1309, 1594, 1238, 2927, 14603, 3561, 12197, 1435, 26233, 2982, 1299, 1375, 1369, 1188, 10447, 1210, 2305, 106, 106, 140, 2136, 2782, 4319, 244, 1856, 1455, 2244, 1125, 1375, 1369, 1186, 16675, 1307, 6664, 26417, 5763, 1216, 1118, 7354, 13652, 1188, 6721, 2585, 1527, 8718, 1215, 18566, 2282, 1317, 11071, 19294, 4930, 1167, 1186, 2107, 16724, 1120, 1457, 106, 106, 16543, 9410, 1188, 1158, 2107, 9554, 1125, 2801, 4796, 488, 124, 131, 131, 128, 119, 14698, 1125, 1158, 29196, 1197, 22965, 1889, 1186, 488, 124, 131, 131, 131, 119, 5763, 1216, 1118, 1110, 1256, 1776, 189, 2805, 1167, 11406, 22317, 23503, 2323, 2433, 21686, 1173, 8043, 3683, 14363, 7311, 7658, 5612, 1863, 1203, 4618, 1167, 21686, 1306, 1219, 10366, 2932, 4755, 1282, 15896, 1245, 1186, 3657, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 131, 123, 119, 1186, 2435, 3126, 1199, 1125, 12495, 1107, 1197, 20565, 20237, 2137, 17315, 1475, 4195, 1186, 10660, 121, 106, 106, 143, 1757, 2165, 1408, 14429, 1204, 5763, 1216, 1118, 1299, 1170, 9293, 1136, 1125, 1306, 1219, 1494, 3817, 1440, 4755, 1299, 14844, 2357, 1571, 17206, 1125, 1222, 1356, 2610, 6106, 119, 11884, 2784, 1190, 244, 2714, 1158, 7732, 121, 6053, 1188, 3631, 1188, 1158, 3221, 1125, 1594, 1776, 189, 6909, 6711, 1856, 2435, 1125, 1158, 15696, 1197, 31510, 1190, 1346, 3365, 7988, 1125, 1281, 11055, 1856, 3624, 8765, 1571, 13118, 30535, 1125, 2738, 488, 124, 132, 123, 123, 121, 1165, 17389, 1128, 1313, 1170, 12311, 1293, 4586, 2114, 1527, 1251, 10907, 1317, 2423, 3543, 1170, 11538, 21961, 2059, 2654, 2038, 5016, 2851, 1252, 3567, 195, 2893, 2291, 5904, 121, 2605, 10536, 28262, 21467, 1227, 5809, 4610, 1125, 1158, 18141, 1170, 488, 128, 3201, 488, 124, 132, 123, 124, 119, 1527, 1299, 1338, 1819, 192, 11538, 17023, 1317, 3151, 3543, 1186, 488, 124, 132, 123, 127, 1167, 1186, 488, 124, 132, 123, 131, 121, 106, 106, 1686, 488, 124, 132, 123, 126, 119, 5763, 1216, 1118, 17904, 1317, 12033, 1279, 27587, 1125, 1158, 18409, 5277, 4690, 21983, 1647, 1838, 9232, 1215, 2605, 30590, 7238, 1255, 1258, 121, 106, 106, 152, 1132, 2240, 2757, 3171, 15223, 5763, 1216, 1118, 19859, 1197, 1335, 3077, 2519, 10317, 1317, 1131, 8103, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 121, 6982, 1197, 13214, 27019, 24925, 1473, 1186, 22938, 3281, 4379, 1839, 18906, 1125, 6721, 1527, 1299, 14786, 11125, 1188, 10447, 1210, 2305, 106, 106, 1686, 488, 124, 131, 132, 124, 119, 26417, 5763, 1216, 1118, 3618, 3391, 1212, 244, 5612, 1314, 120, 5522, 7821, 1204, 1487, 190, 2765, 5921, 1125, 5612, 1204, 1487, 190, 2765, 1776, 189, 1450, 1227, 1557, 3649, 1188, 1158, 2107, 5751, 7112, 17220, 1125, 2770, 8658, 2004, 4766, 1910, 1188, 1158, 16880, 12507, 5549, 5907, 2576, 1145, 1304, 31453, 1170, 1557, 7197, 1132, 1197, 2341, 1120, 2605, 184, 1399, 4101, 1308, 1354, 3046, 7060, 5763, 1216, 1118, 1175, 124, 131, 132, 130, 120, 124, 132, 124, 131, 1496, 1110, 1913, 30893, 1186, 9524, 12431, 1108, 19227, 1125, 16422, 9728, 1170, 488, 125, 126, 3201, 488, 124, 132, 124, 131, 121, 106, 106, 141, 13449, 488, 106, 106, 152, 4691, 1140, 1306, 1219, 18284, 1606, 26417, 5763, 1216, 1118, 3133, 21433, 13585, 1125, 1282, 15297, 1675, 27562, 1197, 11034, 1690, 1167, 13713, 11034, 1690, 1125, 1158, 29196, 1197, 22965, 1889, 1188, 6721, 1859, 1266, 1452, 1762, 5763, 2104, 23237, 193, 1154, 1422, 119, 488, 124, 132, 124, 126, 119, 1939, 31093, 1321, 1172, 1762, 29749, 3260, 11565, 1167, 22453, 1227, 3624, 10224, 2720, 1175, 124, 131, 131, 123, 120, 124, 132, 123, 123, 1496, 6721, 16131, 10483, 6707, 4986, 488, 125, 123, 123, 128, 119, 1939, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 3012, 488, 124, 131, 128, 131, 1266, 3400, 1188, 17448, 4260, 3942, 9410, 2720, 1227, 26851, 6298, 1233, 2610, 1475, 2038, 4486, 3579, 17023, 1125, 2801, 31128, 1125, 1158, 15696, 1197, 31510, 3330, 1645, 2011, 2035, 19722, 1232, 1186, 2315, 4291, 25013, 1125, 1158, 29196, 1175, 4612, 1112, 1334, 1125, 2801, 116, 6064, 1467, 1186, 2829, 488, 124, 132, 123, 132, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 128, 123, 2165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 12781, 5252, 1188, 17448, 4260, 1170, 488, 125, 128, 3012, 488, 124, 131, 128, 131, 1167, 4541, 1188, 2801, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 119, 1299, 1189, 13652, 1167, 5598, 3657, 24610, 106, 106, 141, 11741, 488, 106, 106, 151, 14842, 5264, 1219, 8750, 9081, 13819, 5763, 1216, 1118, 1299, 1170, 8658, 1125, 7422, 8157, 27505, 5763, 1216, 12781, 22652, 1125, 12700, 9533, 1197, 25531, 1125, 1131, 1657, 6218, 1238, 2927, 3497, 1608, 3561, 25191, 5763, 1216, 12781, 1299, 13652, 1188, 29276, 1105, 7890, 1278, 1496, 11781, 1309, 1594, 1238, 2927, 14603, 3561, 12197, 1435, 26233, 2982, 1299, 1375, 1369, 1188, 10447, 1210, 2305, 106, 106, 140, 2136, 2782, 4319, 244, 1856, 1455, 2244, 1125, 1375, 1369, 1186, 16675, 1307, 6664, 26417, 5763, 1216, 1118, 7354, 13652, 1188, 6721, 2585, 1527, 8718, 1215, 18566, 2282, 1317, 11071, 19294, 4930, 1167, 1186, 2107, 16724, 1120, 1457, 106, 106, 16543, 9410, 1188, 1158, 2107, 9554, 1125, 2801, 4796, 488, 124, 131, 131, 128, 119, 14698, 1125, 1158, 29196, 1197, 22965, 1889, 1186, 488, 124, 131, 131, 131, 119, 5763, 1216, 1118, 1110, 1256, 1776, 189, 2805, 1167, 11406, 22317, 23503, 2323, 2433, 21686, 1173, 8043, 3683, 14363, 7311, 7658, 5612, 1863, 1203, 4618, 1167, 21686, 1306, 1219, 10366, 2932, 4755, 1282, 15896, 1245, 1186, 3657, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 131, 123, 119, 1186, 2435, 3126, 1199, 1125, 12495, 1107, 1197, 20565, 20237, 2137, 17315, 1475, 4195, 1186, 10660, 121, 106, 106, 143, 1757, 2165, 1408, 14429, 1204, 5763, 1216, 1118, 1299, 1170, 9293, 1136, 1125, 1306, 1219, 1494, 3817, 1440, 4755, 1299, 14844, 2357, 1571, 17206, 1125, 1222, 1356, 2610, 6106, 119, 11884, 2784, 1190, 244, 2714, 1158, 7732, 121, 6053, 1188, 3631, 1188, 1158, 3221, 1125, 1594, 1776, 189, 6909, 6711, 1856, 2435, 1125, 1158, 15696, 1197, 31510, 1190, 1346, 3365, 7988, 1125, 1281, 11055, 1856, 3624, 8765, 1571, 13118, 30535, 1125, 2738, 488, 124, 132, 123, 123, 121, 1165, 17389, 1128, 1313, 1170, 12311, 1293, 4586, 2114, 1527, 1251, 10907, 1317, 2423, 3543, 1170, 11538, 21961, 2059, 2654, 2038, 5016, 2851, 1252, 3567, 195, 2893, 2291, 5904, 121, 2605, 10536, 28262, 21467, 1227, 5809, 4610, 1125, 1158, 18141, 1170, 488, 128, 3201, 488, 124, 132, 123, 124, 119, 1527, 1299, 1338, 1819, 192, 11538, 17023, 1317, 3151, 3543, 1186, 488, 124, 132, 123, 127, 1167, 1186, 488, 124, 132, 123, 131, 121, 106, 106, 1686, 488, 124, 132, 123, 126, 119, 5763, 1216, 1118, 17904, 1317, 12033, 1279, 27587, 1125, 1158, 18409, 5277, 4690, 21983, 1647, 1838, 9232, 1215, 2605, 30590, 7238, 1255, 1258, 121, 106, 106, 152, 1132, 2240, 2757, 3171, 15223, 5763, 1216, 1118, 19859, 1197, 1335, 3077, 2519, 10317, 1317, 1131, 8103, 1170, 488, 124, 125, 2829, 488, 124, 132, 123, 132, 121, 6982, 1197, 13214, 27019, 24925, 1473, 1186, 22938, 3281, 4379, 1839, 18906, 1125, 6721, 1527, 1299, 14786, 11125, 1188, 10447, 1210, 2305, 106, 106, 1686, 488, 124, 131, 132, 124, 119, 26417, 5763, 1216, 1118, 3618, 3391, 1212, 244, 5612, 1314, 120, 5522, 7821, 1204, 1487, 190, 2765, 5921, 1125, 5612, 1204, 1487, 190, 2765, 1776, 189, 1450, 1227, 1557, 3649, 1188, 1158, 2107, 5751, 7112, 17220, 1125, 2770, 8658, 2004, 4766, 1910, 1188, 1158, 16880, 12507, 5549, 5907, 2576, 1145, 1304, 31453, 1170, 1557, 7197, 1132, 1197, 2341, 1120, 2605, 184, 1399, 4101, 1308, 1354, 3046, 7060, 5763, 1216, 1118, 1175, 124, 131, 132, 130, 120, 124, 132, 124, 131, 1496, 1110, 1913, 30893, 1186, 9524, 12431, 1108, 19227, 1125, 16422, 9728, 1170, 488, 125, 126, 3201, 488, 124, 132, 124, 131, 121, 106, 106, 141, 13449, 488, 106, 106, 152, 4691, 1140, 1306, 1219, 18284, 1606, 26417, 5763, 1216, 1118, 3133, 21433, 13585, 1125, 1282, 15297, 1675, 27562, 1197, 11034, 1690, 1167, 13713, 11034, 1690, 1125, 1158, 29196, 1197, 22965, 1889, 1188, 6721, 1859, 1266, 1452, 1762, 5763, 2104, 23237, 193, 1154, 1422, 119, 488, 124, 132, 124, 126, 119, 1939, 31093, 1321, 1172, 1762, 29749, 3260, 11565, 1167, 22453, 1227, 3624, 10224, 2720, 1175, 124, 131, 131, 123, 120, 124, 132, 123, 123, 1496, 6721, 16131, 10483, 6707, 4986, 488, 125, 123, 123, 128, 119, 1939, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 3012, 488, 124, 131, 128, 131, 1266, 3400, 1188, 17448, 4260, 3942, 9410, 2720, 1227, 26851, 6298, 1233, 2610, 1475, 2038, 4486, 3579, 17023, 1125, 2801, 31128, 1125, 1158, 15696, 1197, 31510, 3330, 1645, 2011, 2035, 19722, 1232, 1186, 2315, 4291, 25013, 1125, 1158, 29196, 1175, 4612, 1112, 1334, 1125, 2801, 116, 6064, 1467, 1186, 2829, 488, 124, 132, 123, 132, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 128, 123, 2165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1318, 5820, 1227, 488, 124, 131, 176, 28077, 1125, 18994, 106, 106, 158, 1123, 10878, 1167, 8139, 488, 106, 15539, 1299, 10019, 1313, 1170, 12311, 1197, 5623, 1104, 3926, 1124, 17192, 121, 3450, 8718, 5820, 1548, 1456, 185, 1493, 1167, 1281, 20235, 3358, 21290, 4273, 2305, 106, 106, 142, 1567, 5820, 1299, 22786, 1303, 1317, 5809, 1125, 12311, 17884, 182, 21123, 3486, 2529, 1125, 4304, 4540, 1373, 3486, 2529, 1125, 2324, 1442, 1452, 1157, 2771, 106, 106, 159, 2607, 20102, 4128, 6559, 1129, 5820, 3699, 4853, 1815, 177, 3794, 2962, 1227, 5719, 1197, 26985, 17148, 13662, 21204, 1125, 1158, 5820, 116, 1257, 1158, 18714, 28503, 28415, 1158, 5820, 1125, 1158, 17884, 182, 15876, 1167, 1158, 5820, 24979, 4746, 106, 106, 17696, 1314, 1227, 1874, 488, 106, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 4665, 1170, 1874, 1125, 3699, 1222, 1815, 177, 1153, 1175, 124, 131, 123, 123, 120, 124, 131, 131, 130, 1496, 13970, 20581, 1125, 16422, 9728, 119, 9159, 1197, 1116, 1837, 4783, 17192, 1186, 12350, 106, 106, 147, 15376, 488, 106, 158, 1105, 1874, 18183, 2435, 1110, 1913, 31716, 1186, 488, 124, 131, 131, 131, 121, 106, 106, 2606, 488, 126, 123, 2749, 488, 124, 132, 124, 131, 119, 7542, 1158, 16880, 12507, 27213, 1170, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1919, 3134, 2391, 2335, 1501, 1176, 15720, 1215, 1197, 19849, 10816, 1297, 106, 106, 20634, 1167, 5474, 488, 106, 106, 15440, 4853, 1815, 177, 1153, 106, 15440, 4853, 1815, 177, 1153, 32001, 488, 106, 32000, 20036, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1318, 5820, 1227, 488, 488, 124, 131, 2247, 28077, 1125, 18994, 106, 106, 158, 1123, 10878, 1167, 8139, 488, 106, 15539, 1299, 10019, 1313, 1170, 12311, 1197, 5623, 1104, 3926, 1124, 17192, 121, 3450, 8718, 5820, 1548, 1456, 185, 1493, 1167, 1281, 20235, 3358, 21290, 4273, 2305, 106, 106, 142, 1567, 5820, 1299, 22786, 1303, 1317, 5809, 1125, 12311, 17884, 182, 21123, 3486, 2529, 1125, 4304, 4540, 1373, 3486, 2529, 1125, 2324, 1442, 1452, 1157, 2771, 106, 106, 159, 2607, 20102, 4128, 6559, 1129, 5820, 3699, 4853, 1815, 177, 3794, 2962, 1227, 5719, 1197, 26985, 17148, 13662, 21204, 1125, 1158, 5820, 116, 1257, 1158, 18714, 28503, 28415, 1158, 5820, 1125, 1158, 17884, 182, 15876, 1167, 1158, 5820, 24979, 4746, 106, 106, 17696, 1314, 1227, 1874, 488, 106, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 4665, 1170, 1874, 1125, 3699, 1222, 1815, 177, 1153, 1175, 124, 131, 123, 123, 120, 124, 131, 131, 130, 1496, 13970, 20581, 1125, 16422, 9728, 119, 9159, 1197, 1116, 1837, 4783, 17192, 1186, 12350, 106, 106, 147, 15376, 488, 106, 158, 1105, 1874, 18183, 2435, 1110, 1913, 31716, 1186, 488, 124, 131, 131, 131, 121, 106, 106, 2606, 488, 126, 123, 2749, 488, 124, 132, 124, 131, 119, 7542, 1158, 3453, 12507, 27213, 1170, 488, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1919, 3134, 2391, 2335, 1501, 1176, 15720, 1215, 1197, 19849, 10816, 1297, 106, 106, 20634, 1167, 5474, 488, 106, 106, 15440, 4853, 1815, 177, 1153, 106, 15440, 4853, 1815, 177, 1153, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1318, 5820, 1227, 488, 488, 124, 131, 2247, 28077, 1125, 18994, 106, 106, 158, 1123, 10878, 1167, 8139, 488, 106, 15539, 1299, 10019, 1313, 1170, 12311, 1197, 5623, 1104, 3926, 1124, 17192, 121, 3450, 8718, 5820, 1548, 1456, 185, 1493, 1167, 1281, 20235, 3358, 21290, 4273, 2305, 106, 106, 142, 1567, 5820, 1299, 22786, 1303, 1317, 5809, 1125, 12311, 17884, 182, 21123, 3486, 2529, 1125, 4304, 4540, 1373, 3486, 2529, 1125, 2324, 1442, 1452, 1157, 2771, 106, 106, 159, 2607, 20102, 4128, 6559, 1129, 5820, 3699, 4853, 1815, 177, 3794, 2962, 1227, 5719, 1197, 26985, 17148, 13662, 21204, 1125, 1158, 5820, 116, 1257, 1158, 18714, 28503, 28415, 1158, 5820, 1125, 1158, 17884, 182, 15876, 1167, 1158, 5820, 24979, 4746, 106, 106, 17696, 1314, 1227, 1874, 488, 106, 106, 3562, 5820, 3699, 4853, 1815, 177, 1153, 4665, 1170, 1874, 1125, 3699, 1222, 1815, 177, 1153, 1175, 124, 131, 123, 123, 120, 124, 131, 131, 130, 1496, 13970, 20581, 1125, 16422, 9728, 119, 9159, 1197, 1116, 1837, 4783, 17192, 1186, 12350, 106, 106, 147, 15376, 488, 106, 158, 1105, 1874, 18183, 2435, 1110, 1913, 31716, 1186, 488, 124, 131, 131, 131, 121, 106, 106, 2606, 488, 126, 123, 2749, 488, 124, 132, 124, 131, 119, 7542, 1158, 3453, 12507, 27213, 1170, 488, 5820, 3699, 4853, 1815, 177, 1153, 1299, 1919, 3134, 2391, 2335, 1501, 1176, 15720, 1215, 1197, 19849, 10816, 1297, 106, 106, 20634, 1167, 5474, 488, 106, 106, 15440, 4853, 1815, 177, 1153, 106, 15440, 4853, 1815, 177, 1153, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 20438, 1125, 5753, 4601, 31494, 192, 237, 183, 1299, 1318, 20438, 1227, 7252, 4578, 1357, 13192, 1309, 1170, 7252, 4578, 1299, 1152, 2189, 244, 1215, 1318, 1147, 28217, 1313, 1207, 7779, 1125, 5753, 4601, 1835, 1207, 3293, 13397, 1167, 1207, 3293, 13003, 9770, 1768, 1110, 1913, 3146, 1303, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 147, 15376, 488, 106, 3562, 20438, 1125, 5753, 4601, 31494, 192, 237, 183, 1299, 25911, 8325, 27379, 1215, 3171, 13213, 1297, 1248, 3724, 7642, 27532, 16080, 4199, 2038, 1317, 5545, 1125, 1158, 5204, 1197, 14300, 1189, 1429, 1256, 6389, 18337, 4123, 3603, 22589, 1214, 1207, 9462, 2339, 1835, 1207, 3293, 1227, 4779, 1167, 1207, 3293, 1125, 1158, 26373, 22729, 1167, 7576, 5276, 1158, 20908, 1162, 1197, 7779, 1125, 5753, 4601, 121, 24917, 178, 1475, 21586, 9103, 1659, 2435, 2072, 4199, 2038, 1188, 1282, 1588, 18296, 16773, 1408, 7959, 7642, 173, 23627, 121, 6053, 12048, 1922, 1681, 29383, 21482, 8501, 1186, 488, 124, 132, 129, 132, 119, 1313, 2814, 224, 4601, 31494, 2726, 14802, 9123, 1160, 1170, 6789, 121, 1548, 5509, 2435, 1844, 11705, 1186, 1375, 6533, 2201, 1317, 5545, 1227, 2854, 24953, 1723, 2072, 1317, 5545, 1125, 1127, 1542, 2339, 5147, 23044, 8632, 121, 106, 106, 1924, 21410, 488, 106, 15226, 14453, 20983, 7686, 1313, 1170, 7252, 7174, 237, 11216, 1189, 18032, 1915, 1823, 2690, 21082, 1995, 1207, 11520, 22521, 1234, 2004, 1189, 5777, 1125, 11692, 1197, 18613, 1125, 4052, 10043, 21844, 22132, 1995, 1189, 3293, 13397, 4715, 1594, 1139, 1289, 1334, 1125, 12180, 6139, 1659, 3042, 1170, 3248, 1197, 11520, 1309, 2008, 6738, 13536, 17159, 6139, 1965, 1440, 1357, 10605, 1277, 1170, 12180, 13462, 1197, 3293, 28936, 1357, 4723, 243, 24188, 1440, 25064, 2576, 244, 4601, 7354, 3042, 1147, 2603, 237, 11686, 106, 106, 140, 28132, 5753, 4601, 1299, 1147, 2603, 237, 183, 1227, 1844, 1197, 2609, 8752, 1125, 1338, 7948, 2857, 1227, 24875, 2498, 3702, 1207, 13535, 1227, 15153, 1808, 3293, 28936, 9516, 1129, 1197, 11520, 3040, 26496, 6060, 1309, 1158, 2274, 1283, 13221, 1299, 2290, 3130, 1242, 2806, 4410, 2585, 1207, 3293, 13397, 9516, 1129, 1197, 11520, 1188, 30013, 5219, 8986, 2806, 1357, 1508, 1270, 2996, 6415, 1281, 18583, 1215, 1318, 21540, 1197, 3293, 13003, 6712, 1734, 1227, 1844, 1227, 2780, 11157, 1125, 2264, 3693, 1207, 3293, 13397, 2830, 12166, 1188, 3040, 5387, 1207, 23719, 1188, 2306, 3248, 10591, 1473, 1215, 1207, 3293, 13003, 9770, 106, 106, 2524, 1440, 11012, 1170, 7252, 7174, 237, 183, 1110, 1256, 5662, 1125, 30997, 1197, 7442, 11393, 1125, 1158, 26373, 2974, 2079, 1170, 4779, 121, 106, 106, 13645, 19935, 106, 106, 3593, 1482, 1349, 10307, 1125, 25131, 15863, 10903, 1197, 22440, 23533, 488, 106, 15226, 14453, 18926, 1125, 1561, 20438, 1309, 5444, 1847, 27686, 1197, 9900, 4995, 24641, 1170, 8780, 1197, 16068, 1125, 2183, 1207, 14661, 1299, 1318, 11347, 17966, 1808, 22440, 23533, 1197, 3293, 13397, 14255, 1382, 1304, 24971, 30080, 1469, 1207, 22440, 23533, 1197, 3293, 13003, 2944, 8989, 10683, 1129, 1256, 1964, 5710, 237, 1133, 121, 106, 106, 152, 3367, 2651, 1215, 1170, 7077, 2010, 1414, 2923, 488, 106, 3562, 20438, 1110, 9918, 1189, 9672, 3283, 5693, 1125, 1127, 1542, 2339, 7077, 2010, 1414, 27984, 106, 106, 143, 244, 13521, 1147, 14533, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 2603, 237, 183, 1110, 1913, 3146, 1303, 1215, 1197, 13588, 7330, 7097, 1392, 1167, 1110, 7545, 1304, 1740, 6496, 1158, 20438, 1227, 4764, 31494, 2726, 3702, 5685, 5753, 4601, 1147, 2603, 237, 183, 1299, 1188, 21839, 1197, 16653, 178, 2027, 1125, 4764, 1835, 19105, 106, 106, 143, 3727, 1889, 1167, 19791, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1110, 1844, 11582, 1125, 3155, 13760, 14782, 5052, 1701, 1125, 27818, 1557, 195, 2038, 2004, 19756, 1186, 4262, 1158, 10533, 1125, 1158, 5219, 7080, 13874, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 2103, 244, 4846, 1362, 7042, 7568, 106, 224, 15051, 4578, 106, 155, 7695, 1125, 2513, 32001, 488, 106, 32000, 20036, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1299, 1318, 20438, 1227, 7252, 4578, 1357, 13192, 1309, 1170, 7252, 4578, 1299, 1152, 2189, 244, 1215, 1318, 1147, 28217, 1313, 1207, 7779, 1125, 5753, 4601, 1835, 1207, 3293, 22423, 1167, 1207, 3293, 13003, 14279, 3450, 1110, 1913, 3146, 1303, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 147, 15376, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1299, 25911, 8325, 27379, 1215, 3171, 13213, 1297, 1248, 3724, 7642, 27532, 16080, 4199, 2038, 1317, 5545, 1125, 1158, 5204, 1197, 14300, 1189, 1429, 1256, 6389, 18337, 4123, 3603, 22589, 1214, 1207, 9462, 2339, 1835, 1207, 3293, 1227, 4779, 1167, 1207, 3293, 1125, 1158, 26373, 22729, 1167, 7576, 5276, 1158, 20908, 1162, 1197, 7779, 1125, 5753, 4601, 121, 24917, 178, 1475, 21586, 9103, 1659, 2435, 2072, 4199, 2038, 1188, 1282, 1588, 18296, 16773, 1408, 7959, 7642, 173, 23627, 121, 6053, 12048, 1922, 1681, 29383, 21482, 8501, 1186, 488, 124, 132, 129, 132, 119, 1313, 2814, 224, 4601, 31494, 2726, 14802, 9123, 1160, 1170, 6789, 121, 1548, 5509, 2435, 1844, 11705, 1186, 1375, 6533, 2201, 1317, 5545, 1227, 2854, 24953, 1723, 2072, 1317, 5545, 1125, 1127, 1542, 2339, 5147, 23044, 8632, 121, 106, 106, 1924, 21410, 488, 106, 15226, 14453, 20983, 7686, 1313, 1170, 7252, 4578, 119, 1189, 18032, 1915, 1823, 2690, 21082, 1995, 1207, 11520, 22521, 1234, 2004, 1189, 5777, 1125, 11692, 1197, 18613, 1125, 4052, 10043, 21844, 22132, 1995, 1189, 3293, 13397, 4715, 1594, 4041, 1125, 12180, 6139, 1659, 3042, 1170, 3248, 1197, 11520, 1309, 2008, 6738, 13536, 17159, 6139, 1965, 1440, 1357, 10605, 1277, 1170, 12180, 13462, 1197, 3293, 31467, 1357, 4723, 243, 24188, 1440, 25064, 2576, 244, 4601, 7354, 3042, 31494, 3850, 106, 106, 140, 28132, 5753, 4601, 1299, 1147, 14533, 1227, 1844, 1197, 2609, 8752, 1125, 11692, 1227, 24875, 2498, 3702, 1207, 13535, 1227, 15153, 1808, 3293, 31467, 9516, 1129, 1197, 11520, 3040, 26496, 6060, 1309, 1158, 2274, 1283, 13221, 1299, 2290, 3130, 1242, 2806, 4410, 2585, 1207, 3293, 22423, 9516, 1129, 1197, 11520, 1188, 8547, 5219, 8986, 2806, 1357, 1508, 1270, 2996, 6415, 1281, 18583, 1215, 1318, 21540, 1197, 3293, 13003, 6712, 1734, 1227, 1844, 1227, 2780, 11157, 1125, 2264, 3693, 1207, 3293, 22423, 2830, 12166, 1188, 3040, 5387, 1207, 23719, 1188, 2306, 3248, 10591, 1473, 1215, 1207, 3293, 13003, 14279, 106, 106, 2524, 1440, 11012, 1170, 7252, 4578, 1110, 1256, 5662, 1125, 30997, 1197, 7442, 11393, 1125, 1158, 26373, 2974, 2079, 1170, 4779, 121, 106, 106, 13645, 19935, 106, 106, 3593, 1482, 1349, 10307, 1125, 25131, 15863, 10903, 1197, 22440, 23533, 488, 106, 15226, 14453, 7705, 1178, 1125, 1561, 20438, 1309, 5444, 1847, 27686, 1197, 9900, 4995, 24641, 1170, 8780, 1197, 16068, 1125, 2183, 1207, 14661, 1299, 1318, 11347, 17966, 1808, 22440, 23533, 1197, 3293, 22423, 14255, 1382, 1304, 24971, 30080, 1469, 1207, 22440, 23533, 1197, 3293, 13003, 6712, 8989, 10683, 1129, 1256, 1964, 5710, 2392, 106, 106, 152, 3367, 2651, 1215, 1170, 7077, 2010, 1414, 2923, 488, 106, 3562, 20438, 1110, 9918, 1189, 9672, 3283, 5693, 1125, 1127, 1542, 2339, 7077, 2010, 1414, 27984, 106, 106, 143, 244, 13521, 1147, 14533, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1110, 1913, 3146, 1303, 1215, 1197, 13588, 7330, 7097, 1392, 1167, 1110, 7545, 1304, 1740, 6496, 1158, 20438, 1227, 4764, 31494, 2726, 3702, 5685, 5753, 4601, 1147, 14533, 1299, 1188, 21839, 1197, 16653, 178, 2027, 1125, 4764, 1835, 19105, 106, 106, 143, 3727, 1889, 1167, 19791, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1110, 1844, 11582, 1125, 3155, 13760, 14782, 5052, 1701, 1125, 27818, 1557, 195, 2038, 2004, 19756, 1186, 4262, 1158, 10533, 1125, 1158, 5219, 7080, 13874, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 2103, 244, 4846, 1362, 7042, 7568, 106, 224, 15051, 10903, 106, 155, 7695, 1125, 2513, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1299, 1318, 20438, 1227, 7252, 4578, 1357, 13192, 1309, 1170, 7252, 4578, 1299, 1152, 2189, 244, 1215, 1318, 1147, 28217, 1313, 1207, 7779, 1125, 5753, 4601, 1835, 1207, 3293, 22423, 1167, 1207, 3293, 13003, 14279, 3450, 1110, 1913, 3146, 1303, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 147, 15376, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1299, 25911, 8325, 27379, 1215, 3171, 13213, 1297, 1248, 3724, 7642, 27532, 16080, 4199, 2038, 1317, 5545, 1125, 1158, 5204, 1197, 14300, 1189, 1429, 1256, 6389, 18337, 4123, 3603, 22589, 1214, 1207, 9462, 2339, 1835, 1207, 3293, 1227, 4779, 1167, 1207, 3293, 1125, 1158, 26373, 22729, 1167, 7576, 5276, 1158, 20908, 1162, 1197, 7779, 1125, 5753, 4601, 121, 24917, 178, 1475, 21586, 9103, 1659, 2435, 2072, 4199, 2038, 1188, 1282, 1588, 18296, 16773, 1408, 7959, 7642, 173, 23627, 121, 6053, 12048, 1922, 1681, 29383, 21482, 8501, 1186, 488, 124, 132, 129, 132, 119, 1313, 2814, 224, 4601, 31494, 2726, 14802, 9123, 1160, 1170, 6789, 121, 1548, 5509, 2435, 1844, 11705, 1186, 1375, 6533, 2201, 1317, 5545, 1227, 2854, 24953, 1723, 2072, 1317, 5545, 1125, 1127, 1542, 2339, 5147, 23044, 8632, 121, 106, 106, 1924, 21410, 488, 106, 15226, 14453, 20983, 7686, 1313, 1170, 7252, 4578, 119, 1189, 18032, 1915, 1823, 2690, 21082, 1995, 1207, 11520, 22521, 1234, 2004, 1189, 5777, 1125, 11692, 1197, 18613, 1125, 4052, 10043, 21844, 22132, 1995, 1189, 3293, 13397, 4715, 1594, 4041, 1125, 12180, 6139, 1659, 3042, 1170, 3248, 1197, 11520, 1309, 2008, 6738, 13536, 17159, 6139, 1965, 1440, 1357, 10605, 1277, 1170, 12180, 13462, 1197, 3293, 31467, 1357, 4723, 243, 24188, 1440, 25064, 2576, 244, 4601, 7354, 3042, 31494, 3850, 106, 106, 140, 28132, 5753, 4601, 1299, 1147, 14533, 1227, 1844, 1197, 2609, 8752, 1125, 11692, 1227, 24875, 2498, 3702, 1207, 13535, 1227, 15153, 1808, 3293, 31467, 9516, 1129, 1197, 11520, 3040, 26496, 6060, 1309, 1158, 2274, 1283, 13221, 1299, 2290, 3130, 1242, 2806, 4410, 2585, 1207, 3293, 22423, 9516, 1129, 1197, 11520, 1188, 8547, 5219, 8986, 2806, 1357, 1508, 1270, 2996, 6415, 1281, 18583, 1215, 1318, 21540, 1197, 3293, 13003, 6712, 1734, 1227, 1844, 1227, 2780, 11157, 1125, 2264, 3693, 1207, 3293, 22423, 2830, 12166, 1188, 3040, 5387, 1207, 23719, 1188, 2306, 3248, 10591, 1473, 1215, 1207, 3293, 13003, 14279, 106, 106, 2524, 1440, 11012, 1170, 7252, 4578, 1110, 1256, 5662, 1125, 30997, 1197, 7442, 11393, 1125, 1158, 26373, 2974, 2079, 1170, 4779, 121, 106, 106, 13645, 19935, 106, 106, 3593, 1482, 1349, 10307, 1125, 25131, 15863, 10903, 1197, 22440, 23533, 488, 106, 15226, 14453, 7705, 1178, 1125, 1561, 20438, 1309, 5444, 1847, 27686, 1197, 9900, 4995, 24641, 1170, 8780, 1197, 16068, 1125, 2183, 1207, 14661, 1299, 1318, 11347, 17966, 1808, 22440, 23533, 1197, 3293, 22423, 14255, 1382, 1304, 24971, 30080, 1469, 1207, 22440, 23533, 1197, 3293, 13003, 6712, 8989, 10683, 1129, 1256, 1964, 5710, 2392, 106, 106, 152, 3367, 2651, 1215, 1170, 7077, 2010, 1414, 2923, 488, 106, 3562, 20438, 1110, 9918, 1189, 9672, 3283, 5693, 1125, 1127, 1542, 2339, 7077, 2010, 1414, 27984, 106, 106, 143, 244, 13521, 1147, 14533, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1110, 1913, 3146, 1303, 1215, 1197, 13588, 7330, 7097, 1392, 1167, 1110, 7545, 1304, 1740, 6496, 1158, 20438, 1227, 4764, 31494, 2726, 3702, 5685, 5753, 4601, 1147, 14533, 1299, 1188, 21839, 1197, 16653, 178, 2027, 1125, 4764, 1835, 19105, 106, 106, 143, 3727, 1889, 1167, 19791, 488, 106, 3562, 20438, 1125, 5753, 4601, 1147, 14533, 1110, 1844, 11582, 1125, 3155, 13760, 14782, 5052, 1701, 1125, 27818, 1557, 195, 2038, 2004, 19756, 1186, 4262, 1158, 10533, 1125, 1158, 5219, 7080, 13874, 1215, 1922, 1681, 29383, 21482, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 2103, 244, 4846, 1362, 7042, 7568, 106, 224, 15051, 10903, 106, 155, 7695, 1125, 2513, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 162, 28283, 17267, 1105, 1915, 1982, 6891, 1188, 1257, 106, 7451, 17267, 1105, 1175, 124, 131, 126, 126, 120, 124, 131, 131, 129, 1496, 22503, 1128, 5984, 2487, 1170, 1874, 1110, 1913, 7798, 1571, 17267, 1105, 6815, 16843, 4698, 1132, 25574, 1576, 106, 162, 28283, 17267, 1105, 1175, 124, 132, 128, 128, 1496, 19166, 8403, 121, 106, 106, 8036, 2072, 488, 106, 162, 28283, 17267, 1105, 15027, 1949, 1175, 124, 132, 129, 124, 120, 125, 123, 123, 126, 1496, 20249, 1105, 4386, 8403, 121, 106, 162, 28283, 17267, 1105, 2544, 6482, 1175, 124, 131, 130, 123, 120, 124, 132, 128, 132, 1496, 5962, 1134, 1374, 26298, 8403, 1167, 15067, 8820, 106, 162, 28283, 17267, 1105, 1204, 10520, 1429, 1175, 124, 131, 132, 129, 120, 124, 132, 128, 130, 1496, 3014, 1216, 13619, 24190, 1167, 12354, 29069, 1125, 9452, 121, 106, 162, 28283, 17267, 1105, 24051, 1186, 488, 124, 132, 129, 123, 1496, 1317, 1148, 1929, 119, 21091, 1136, 1167, 28712, 2038, 8403, 121, 32001, 488, 106, 32000, 20036, 106, 162, 28283, 17267, 1105, 1915, 1982, 6891, 1188, 1257, 488, 106, 7451, 17267, 1105, 1175, 124, 131, 126, 126, 120, 124, 131, 131, 129, 1496, 22503, 1793, 2487, 1170, 1874, 1110, 1913, 7798, 1571, 17267, 1105, 6815, 16843, 4698, 1132, 25574, 1576, 106, 162, 28283, 17267, 1105, 1175, 124, 132, 128, 128, 1496, 19166, 8403, 121, 106, 106, 8036, 2072, 488, 106, 162, 28283, 17267, 1105, 15027, 1949, 1175, 124, 132, 129, 124, 120, 125, 123, 123, 126, 1496, 20249, 1105, 4386, 8403, 121, 106, 162, 28283, 17267, 1105, 2544, 6482, 1175, 124, 131, 130, 123, 120, 124, 132, 128, 132, 1496, 5962, 1134, 1374, 26298, 8403, 1167, 15067, 8820, 106, 162, 28283, 17267, 1105, 1204, 10520, 1429, 1175, 124, 131, 132, 129, 120, 124, 132, 128, 130, 1496, 3014, 13619, 24190, 1167, 12354, 29069, 1125, 9452, 121, 106, 162, 28283, 17267, 1105, 24051, 1186, 488, 124, 132, 129, 123, 1496, 1317, 11682, 21091, 1136, 1167, 28712, 2038, 8403, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 28283, 17267, 1105, 1915, 1982, 6891, 1188, 1257, 488, 106, 7451, 17267, 1105, 1175, 124, 131, 126, 126, 120, 124, 131, 131, 129, 1496, 22503, 1793, 2487, 1170, 1874, 1110, 1913, 7798, 1571, 17267, 1105, 6815, 16843, 4698, 1132, 25574, 1576, 106, 162, 28283, 17267, 1105, 1175, 124, 132, 128, 128, 1496, 19166, 8403, 121, 106, 106, 8036, 2072, 488, 106, 162, 28283, 17267, 1105, 15027, 1949, 1175, 124, 132, 129, 124, 120, 125, 123, 123, 126, 1496, 20249, 1105, 4386, 8403, 121, 106, 162, 28283, 17267, 1105, 2544, 6482, 1175, 124, 131, 130, 123, 120, 124, 132, 128, 132, 1496, 5962, 1134, 1374, 26298, 8403, 1167, 15067, 8820, 106, 162, 28283, 17267, 1105, 1204, 10520, 1429, 1175, 124, 131, 132, 129, 120, 124, 132, 128, 130, 1496, 3014, 13619, 24190, 1167, 12354, 29069, 1125, 9452, 121, 106, 162, 28283, 17267, 1105, 24051, 1186, 488, 124, 132, 129, 123, 1496, 1317, 11682, 21091, 1136, 1167, 28712, 2038, 8403, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 1921, 3175, 11463, 1230, 17796, 4497, 10178, 116, 1299, 1189, 1921, 7254, 182, 9601, 1186, 4104, 6424, 13565, 1125, 12278, 1167, 14677, 1215, 1170, 1921, 2028, 2038, 17796, 121, 106, 106, 147, 7569, 2461, 106, 106, 2606, 1921, 3175, 11463, 1230, 17796, 1110, 1913, 15974, 26163, 1199, 1215, 1787, 1109, 1671, 1510, 1577, 119, 1325, 1475, 2631, 174, 1558, 1167, 2271, 192, 1325, 1108, 1333, 121, 6982, 2782, 17769, 1125, 1281, 1982, 17581, 2593, 17785, 1170, 15211, 3175, 11463, 1230, 17796, 1110, 1913, 14677, 1186, 488, 124, 132, 132, 131, 121, 106, 106, 216, 1158, 1622, 1125, 9911, 488, 124, 132, 132, 131, 119, 1197, 4634, 1227, 15211, 3175, 11463, 1230, 1508, 9514, 14006, 1188, 1197, 1381, 2252, 1125, 10548, 5199, 3193, 11779, 8826, 1188, 5582, 2075, 2165, 1576, 1653, 488, 125, 123, 123, 123, 119, 7762, 5028, 24886, 3525, 1508, 2180, 1473, 1186, 10660, 119, 1170, 1921, 23645, 19438, 1460, 3042, 1318, 2630, 2100, 1125, 4634, 1186, 1539, 4994, 106, 106, 8044, 2300, 2334, 1887, 106, 106, 8036, 2072, 106, 106, 10026, 5888, 176, 488, 106, 12253, 1197, 15430, 8443, 1125, 12278, 106, 1325, 1475, 2631, 174, 1558, 106, 2397, 20260, 1671, 3299, 192, 106, 106, 2951, 1117, 7254, 182, 1186, 12278, 106, 2951, 1117, 7254, 182, 15974, 1186, 488, 124, 132, 132, 131, 106, 143, 1470, 3824, 28106, 1439, 106, 152, 30190, 23645, 17796, 106, 4602, 5739, 1430, 1125, 1158, 2320, 1198, 2323, 114, 1119, 8676, 106, 2951, 1117, 3657, 1597, 1331, 32001, 488, 106, 32000, 20036, 106, 2606, 1921, 3175, 11463, 1230, 17796, 4497, 10178, 116, 1299, 1189, 1921, 3657, 9601, 1186, 4104, 6424, 13565, 1125, 12278, 1167, 14677, 1215, 1170, 1921, 2028, 2038, 17796, 121, 106, 106, 147, 15376, 488, 106, 106, 2606, 1921, 3175, 11463, 1230, 17796, 1110, 1913, 15974, 3747, 1215, 1787, 1109, 1671, 1510, 1577, 119, 1325, 1475, 2631, 174, 1558, 1167, 2271, 192, 1325, 1108, 1333, 121, 6982, 2782, 27655, 1125, 1281, 1982, 17581, 2593, 17785, 1170, 15211, 3175, 11463, 1230, 17796, 1110, 1913, 14677, 1186, 488, 124, 132, 132, 131, 121, 106, 106, 216, 1158, 1622, 1125, 9911, 488, 124, 132, 132, 131, 119, 1197, 4634, 1227, 15211, 3175, 11463, 1230, 1508, 9514, 14006, 1188, 1197, 1381, 2252, 1125, 10548, 5199, 3825, 11779, 8826, 1188, 5582, 2075, 2165, 1576, 1653, 488, 125, 123, 123, 123, 119, 7762, 5028, 24886, 3525, 1508, 2180, 1473, 1186, 10660, 119, 1170, 1921, 23645, 19438, 1460, 3042, 1318, 2630, 2100, 1125, 4634, 1186, 1539, 4994, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 15430, 8443, 1125, 12278, 106, 1325, 1475, 2631, 174, 1558, 106, 2397, 20260, 1671, 3299, 192, 106, 106, 2951, 1117, 3657, 1186, 12278, 106, 2951, 1117, 3657, 15974, 1186, 488, 124, 132, 132, 131, 106, 143, 1470, 3824, 28106, 1439, 106, 152, 30190, 23645, 17796, 106, 4602, 5739, 1430, 1125, 1158, 2320, 1198, 2323, 114, 1119, 8676, 106, 2951, 1117, 3657, 14677, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1921, 3175, 11463, 1230, 17796, 4497, 10178, 116, 1299, 1189, 1921, 3657, 9601, 1186, 4104, 6424, 13565, 1125, 12278, 1167, 14677, 1215, 1170, 1921, 2028, 2038, 17796, 121, 106, 106, 147, 15376, 488, 106, 106, 2606, 1921, 3175, 11463, 1230, 17796, 1110, 1913, 15974, 3747, 1215, 1787, 1109, 1671, 1510, 1577, 119, 1325, 1475, 2631, 174, 1558, 1167, 2271, 192, 1325, 1108, 1333, 121, 6982, 2782, 27655, 1125, 1281, 1982, 17581, 2593, 17785, 1170, 15211, 3175, 11463, 1230, 17796, 1110, 1913, 14677, 1186, 488, 124, 132, 132, 131, 121, 106, 106, 216, 1158, 1622, 1125, 9911, 488, 124, 132, 132, 131, 119, 1197, 4634, 1227, 15211, 3175, 11463, 1230, 1508, 9514, 14006, 1188, 1197, 1381, 2252, 1125, 10548, 5199, 3825, 11779, 8826, 1188, 5582, 2075, 2165, 1576, 1653, 488, 125, 123, 123, 123, 119, 7762, 5028, 24886, 3525, 1508, 2180, 1473, 1186, 10660, 119, 1170, 1921, 23645, 19438, 1460, 3042, 1318, 2630, 2100, 1125, 4634, 1186, 1539, 4994, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 15430, 8443, 1125, 12278, 106, 1325, 1475, 2631, 174, 1558, 106, 2397, 20260, 1671, 3299, 192, 106, 106, 2951, 1117, 3657, 1186, 12278, 106, 2951, 1117, 3657, 15974, 1186, 488, 124, 132, 132, 131, 106, 143, 1470, 3824, 28106, 1439, 106, 152, 30190, 23645, 17796, 106, 4602, 5739, 1430, 1125, 1158, 2320, 1198, 2323, 114, 1119, 8676, 106, 2951, 1117, 3657, 14677, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 4455, 6188, 2486, 1124, 2624, 1362, 6188, 2486, 1662, 180, 6096, 1189, 11594, 1185, 5597, 1460, 1317, 2658, 1125, 1158, 11188, 1151, 17285, 19571, 1874, 1299, 12907, 1158, 4438, 4123, 1314, 16402, 1357, 28270, 6349, 119, 2391, 1197, 2463, 23229, 1125, 1158, 18404, 1781, 29345, 1964, 1874, 1571, 6188, 5899, 11154, 11083, 2445, 1313, 1318, 6662, 1554, 1890, 1317, 8030, 1125, 21204, 15294, 1125, 5613, 183, 1897, 121, 106, 106, 140, 6854, 1207, 5206, 1479, 2137, 1167, 1207, 1350, 1243, 1479, 12043, 3342, 6096, 6113, 1197, 3203, 25388, 1188, 1281, 7811, 1158, 1173, 24822, 8288, 3777, 121, 106, 106, 148, 4294, 4393, 2457, 1300, 1170, 1325, 1104, 1659, 1317, 8030, 1197, 1539, 1356, 1153, 6565, 1313, 1170, 3293, 1357, 2985, 12688, 2757, 6188, 2348, 1167, 1357, 8187, 1370, 1207, 3293, 1125, 3261, 1860, 119, 6760, 175, 2765, 14247, 1108, 10914, 119, 1772, 1439, 8286, 3701, 2855, 283, 184, 4317, 3955, 15783, 185, 1219, 189, 262, 1784, 119, 1306, 1487, 1810, 5863, 1108, 23716, 1200, 5216, 1965, 1204, 8028, 5661, 25839, 2765, 12199, 6619, 24990, 3934, 1196, 1762, 1202, 4744, 25272, 119, 1325, 6266, 6991, 121, 106, 106, 6880, 2439, 178, 2348, 3031, 1170, 6468, 1125, 1325, 1176, 4849, 1490, 121, 488, 106, 106, 7244, 133, 26560, 2832, 1125, 1158, 11188, 1151, 1960, 26560, 2832, 1185, 5597, 10772, 32001, 488, 106, 32000, 20036, 106, 4455, 6188, 2486, 1124, 2624, 1362, 6188, 2486, 1662, 180, 15935, 1189, 11594, 1185, 5597, 1460, 1317, 2658, 1125, 1158, 11188, 1151, 17285, 19571, 1874, 1299, 12907, 1158, 4438, 4123, 1314, 16402, 1357, 28270, 7330, 10997, 2121, 2391, 1197, 2463, 23229, 1125, 1158, 18404, 1781, 29345, 1964, 1874, 1571, 6188, 5899, 11154, 11083, 2445, 1313, 1318, 6662, 1554, 1890, 1317, 8030, 1125, 21204, 15294, 1125, 5613, 183, 1897, 121, 106, 106, 140, 6854, 1207, 5206, 1479, 2137, 1167, 1207, 1350, 1243, 1479, 12043, 3342, 6096, 1189, 1197, 3203, 25388, 1188, 1281, 7811, 1158, 1173, 24822, 8288, 3777, 121, 106, 106, 148, 4294, 4393, 2457, 1300, 1170, 1325, 1104, 1659, 1317, 8030, 1197, 1539, 1356, 1153, 6565, 1313, 1170, 3293, 1357, 2985, 12688, 2757, 6188, 2348, 1167, 1357, 8187, 1370, 1207, 3293, 1125, 3261, 1860, 119, 6760, 175, 2765, 14247, 1108, 10914, 119, 1772, 1439, 8286, 3701, 2855, 283, 184, 4317, 3955, 15783, 185, 1219, 189, 262, 1784, 119, 1306, 1487, 1810, 5863, 1108, 23716, 1200, 5216, 1965, 1204, 8028, 5661, 25839, 2765, 12199, 6619, 24990, 3934, 1196, 1762, 1202, 4744, 25272, 119, 1325, 6266, 6991, 121, 106, 106, 6880, 2439, 178, 2348, 3031, 1170, 6468, 1125, 1325, 1176, 4849, 1490, 121, 106, 106, 7244, 1257, 3795, 21706, 1125, 1158, 11188, 1151, 1960, 3795, 21706, 1185, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4455, 6188, 2486, 1124, 2624, 1362, 6188, 2486, 1662, 180, 15935, 1189, 11594, 1185, 5597, 1460, 1317, 2658, 1125, 1158, 11188, 1151, 17285, 19571, 1874, 1299, 12907, 1158, 4438, 4123, 1314, 16402, 1357, 28270, 7330, 10997, 2121, 2391, 1197, 2463, 23229, 1125, 1158, 18404, 1781, 29345, 1964, 1874, 1571, 6188, 5899, 11154, 11083, 2445, 1313, 1318, 6662, 1554, 1890, 1317, 8030, 1125, 21204, 15294, 1125, 5613, 183, 1897, 121, 106, 106, 140, 6854, 1207, 5206, 1479, 2137, 1167, 1207, 1350, 1243, 1479, 12043, 3342, 6096, 1189, 1197, 3203, 25388, 1188, 1281, 7811, 1158, 1173, 24822, 8288, 3777, 121, 106, 106, 148, 4294, 4393, 2457, 1300, 1170, 1325, 1104, 1659, 1317, 8030, 1197, 1539, 1356, 1153, 6565, 1313, 1170, 3293, 1357, 2985, 12688, 2757, 6188, 2348, 1167, 1357, 8187, 1370, 1207, 3293, 1125, 3261, 1860, 119, 6760, 175, 2765, 14247, 1108, 10914, 119, 1772, 1439, 8286, 3701, 2855, 283, 184, 4317, 3955, 15783, 185, 1219, 189, 262, 1784, 119, 1306, 1487, 1810, 5863, 1108, 23716, 1200, 5216, 1965, 1204, 8028, 5661, 25839, 2765, 12199, 6619, 24990, 3934, 1196, 1762, 1202, 4744, 25272, 119, 1325, 6266, 6991, 121, 106, 106, 6880, 2439, 178, 2348, 3031, 1170, 6468, 1125, 1325, 1176, 4849, 1490, 121, 106, 106, 7244, 1257, 3795, 21706, 1125, 1158, 11188, 1151, 1960, 3795, 21706, 1185, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 22598, 2286, 1265, 1575, 1299, 1189, 4170, 4742, 1304, 1128, 1935, 7683, 17779, 121, 18512, 6452, 1188, 21308, 9344, 1136, 14624, 1318, 2577, 197, 9607, 1125, 1248, 10355, 2433, 1300, 1170, 3819, 11185, 1317, 7758, 1125, 1158, 19110, 9993, 1125, 1158, 20707, 1464, 1164, 3125, 121, 2932, 4742, 20296, 9924, 1125, 3171, 7795, 7683, 18615, 1197, 30898, 1177, 21510, 1571, 10163, 12354, 6087, 1186, 14722, 1215, 1207, 4786, 10654, 1734, 189, 1212, 1140, 1297, 106, 106, 30609, 106, 22598, 2286, 1265, 1575, 1299, 1170, 4742, 1170, 1408, 7271, 1304, 28736, 4654, 1548, 4742, 1125, 4438, 30380, 1281, 15574, 6365, 2335, 2511, 12179, 6322, 119, 1170, 12179, 13949, 2181, 1867, 6344, 14360, 1304, 7269, 1541, 15690, 2518, 1508, 14931, 1313, 3371, 9709, 121, 106, 106, 2606, 4742, 1281, 3754, 1439, 1186, 5999, 9355, 1188, 10395, 1257, 106, 1548, 2854, 13455, 106, 1548, 2854, 5373, 244, 1613, 106, 1548, 2854, 8286, 1132, 106, 1643, 1138, 9312, 1197, 17588, 2026, 12521, 3030, 11435, 106, 106, 216, 1909, 28407, 1186, 488, 124, 132, 129, 128, 119, 1170, 4742, 2368, 27563, 1300, 1158, 6300, 1125, 1158, 6233, 14299, 5206, 121, 7155, 3171, 7795, 7683, 8751, 9356, 1170, 10395, 4249, 1382, 2743, 2205, 2671, 5068, 106, 106, 2606, 4742, 18197, 1189, 9123, 3081, 1121, 1313, 1207, 4092, 488, 124, 132, 131, 123, 121, 1548, 8328, 1125, 21396, 14091, 1164, 7497, 1233, 14451, 1237, 1210, 2433, 1188, 1158, 6425, 1227, 4742, 1125, 488, 124, 132, 130, 127, 1188, 488, 124, 132, 131, 130, 116, 1110, 28757, 1125, 29436, 7306, 1107, 1197, 7795, 7683, 1357, 2004, 1844, 1170, 9672, 1197, 4742, 190, 14693, 8403, 1297, 2576, 1398, 8943, 1170, 1408, 20748, 1199, 1299, 1158, 1204, 1314, 1304, 4834, 1338, 2665, 24913, 1125, 8865, 1545, 11821, 13296, 11431, 6982, 488, 124, 132, 131, 130, 119, 3110, 1125, 1158, 23598, 1227, 8328, 119, 1170, 4742, 1835, 1313, 1318, 8093, 1125, 30634, 1357, 4216, 3672, 1318, 4556, 3247, 1197, 4092, 488, 124, 132, 132, 123, 121, 106, 106, 3562, 3643, 4595, 1844, 1125, 15364, 4394, 1256, 1170, 4742, 1175, 4601, 1160, 1304, 4299, 18195, 23198, 1721, 31666, 5028, 7795, 7683, 1996, 14826, 174, 2972, 24055, 1768, 3492, 16159, 488, 124, 132, 132, 131, 119, 1170, 8038, 1125, 4595, 1167, 10905, 12302, 1125, 1248, 19895, 4668, 22182, 1189, 10163, 1125, 30898, 1177, 21510, 5505, 1487, 2972, 1125, 1863, 1263, 1210, 1105, 6105, 14993, 1256, 1309, 1170, 4742, 1978, 2818, 1909, 4808, 16095, 106, 106, 2606, 4742, 1299, 3042, 1501, 1512, 1389, 1215, 1207, 17845, 1227, 2397, 186, 1180, 2564, 1662, 27584, 1119, 22073, 9236, 8921, 1158, 14132, 1125, 1252, 180, 2286, 1265, 1575, 1299, 3670, 7056, 1207, 5443, 20088, 2004, 28757, 21253, 4320, 1317, 4742, 1189, 9709, 2207, 186, 6255, 121, 1548, 4742, 1994, 1123, 2445, 3713, 1125, 13643, 1175, 1568, 21812, 14159, 1167, 8986, 190, 1576, 4511, 3862, 1197, 4092, 488, 125, 123, 123, 123, 119, 16823, 20790, 1214, 1125, 1805, 4420, 3702, 4345, 18711, 1170, 4742, 21469, 1197, 18711, 1408, 28027, 1116, 1837, 6531, 6637, 106, 106, 16519, 488, 125, 123, 123, 129, 119, 1170, 4742, 10656, 1561, 21042, 16509, 1188, 1189, 5923, 1469, 1158, 3837, 1125, 1248, 1195, 6526, 1357, 3618, 1170, 2929, 1125, 1982, 5887, 1318, 3643, 5646, 8691, 1199, 1248, 1195, 6526, 1188, 20876, 174, 9607, 1186, 14722, 1300, 1170, 9108, 1227, 4742, 119, 5044, 1199, 9346, 1186, 2069, 121, 1548, 2929, 2551, 1219, 1118, 2052, 1382, 1167, 1252, 180, 2286, 1265, 1575, 1177, 6063, 29732, 1256, 1561, 6586, 488, 125, 123, 123, 130, 1469, 1125, 5028, 30889, 1297, 106, 106, 4929, 3006, 2137, 7795, 7683, 106, 106, 152, 1258, 12650, 1177, 21510, 106, 106, 2439, 174, 11709, 30898, 1177, 21510, 106, 106, 5335, 29547, 15945, 6068, 106, 106, 2951, 174, 1627, 12354, 2097, 106, 106, 27884, 1645, 8532, 1845, 1323, 1618, 7541, 1305, 27634, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 21825, 1334, 15215, 3583, 1323, 1734, 189, 1212, 1140, 1125, 26650, 15805, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 1233, 1558, 172, 2172, 10948, 11435, 1323, 6239, 29752, 1469, 3719, 1128, 2548, 6087, 1350, 197, 151, 1219, 119, 488, 125, 123, 123, 127, 3091, 1212, 1140, 4845, 1569, 1323, 1734, 189, 1212, 3561, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 10958, 1531, 1154, 26296, 1333, 1323, 1734, 189, 1212, 1140, 1768, 3536, 1187, 1343, 186, 2172, 1252, 192, 3046, 1149, 1323, 1158, 3176, 189, 1343, 29891, 488, 125, 123, 123, 124, 13752, 1694, 1289, 1172, 1438, 22691, 2009, 1323, 1163, 173, 1307, 178, 1220, 8559, 19713, 3755, 1500, 1323, 1734, 189, 1212, 1140, 1125, 3755, 5160, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 106, 28870, 5825, 7649, 9229, 1125, 1252, 180, 2286, 1265, 1575, 106, 106, 2951, 174, 1125, 23013, 1186, 20375, 16105, 1304, 1128, 1935, 7683, 1248, 1195, 6526, 32001, 488, 106, 32000, 20036, 106, 22598, 2286, 1265, 1575, 1299, 1189, 4170, 4742, 1304, 1128, 1935, 7683, 17779, 121, 18512, 6452, 1188, 21308, 9344, 1136, 14624, 1318, 2577, 197, 9607, 1125, 1248, 10355, 2433, 1300, 1170, 3819, 11185, 1317, 7758, 1125, 1158, 19110, 9993, 1125, 1158, 20707, 1464, 1164, 3125, 121, 2932, 4742, 20296, 9924, 1125, 3171, 7795, 7683, 18615, 1197, 30898, 1177, 21510, 1571, 10163, 12354, 6087, 1186, 14722, 1215, 1207, 4786, 10654, 1734, 189, 1212, 1140, 1297, 106, 106, 30609, 488, 106, 22598, 2286, 1265, 1575, 1299, 1170, 4742, 1170, 1408, 7271, 1304, 28736, 4654, 1548, 4742, 1125, 4438, 30380, 1281, 15574, 6365, 2335, 2511, 12179, 6322, 119, 1170, 12179, 13949, 2181, 1867, 6344, 14360, 1304, 7269, 1541, 15690, 2518, 1508, 14931, 1313, 3371, 9709, 121, 106, 106, 2606, 4742, 1281, 3754, 1439, 1186, 5999, 9355, 1188, 10395, 1257, 106, 1548, 2854, 13455, 106, 1548, 2854, 5373, 244, 1613, 106, 1548, 2854, 8286, 1132, 106, 1643, 1138, 9312, 1197, 17588, 2026, 12521, 3030, 11435, 106, 106, 216, 1909, 28407, 1186, 488, 124, 132, 129, 128, 119, 1170, 4742, 2368, 27563, 1300, 1158, 6300, 1125, 1158, 6233, 14299, 5206, 121, 7155, 3171, 7795, 7683, 8751, 9356, 1170, 10395, 4249, 1382, 2743, 2205, 2671, 5068, 106, 106, 2606, 4742, 2034, 1370, 1189, 9123, 3081, 1121, 1313, 1207, 4092, 488, 124, 132, 131, 123, 121, 1548, 8328, 1125, 21396, 14091, 1164, 7497, 1233, 14451, 1237, 1210, 2433, 1188, 1158, 6425, 1227, 4742, 1125, 488, 124, 132, 130, 127, 1188, 488, 124, 132, 131, 130, 116, 1110, 28757, 1125, 29436, 7306, 1107, 1197, 7795, 7683, 1357, 2004, 1844, 1170, 9672, 1197, 4742, 190, 14693, 8403, 1297, 2576, 1398, 8943, 1170, 1408, 20748, 1199, 1299, 1158, 1204, 1314, 1304, 4834, 1338, 2665, 24913, 1125, 8865, 1545, 11821, 13296, 11431, 6982, 488, 124, 132, 131, 130, 119, 3110, 1125, 1158, 23598, 1227, 8328, 119, 1170, 4742, 1835, 1313, 1318, 8093, 1125, 30634, 1357, 4216, 3672, 1318, 4556, 3247, 1197, 4092, 488, 124, 132, 132, 123, 121, 488, 106, 106, 3562, 3643, 4595, 1844, 1125, 15364, 4394, 1256, 1170, 4742, 1175, 4601, 1160, 1304, 4299, 18195, 23198, 1721, 31666, 5028, 7795, 7683, 1996, 14826, 174, 2972, 24055, 1768, 3492, 16159, 488, 124, 132, 132, 131, 119, 1170, 8038, 1125, 4595, 1167, 10905, 12302, 1125, 1248, 19895, 4668, 22182, 1189, 10163, 1125, 30898, 1177, 21510, 5505, 1487, 2972, 1125, 1863, 1263, 1210, 1105, 6105, 14993, 1256, 1309, 1170, 4742, 1978, 2818, 1909, 4808, 16095, 106, 106, 2606, 4742, 1299, 3042, 1501, 1512, 1389, 1215, 1207, 17845, 1227, 2397, 186, 1180, 2564, 1662, 27584, 1119, 22073, 9236, 8921, 1158, 14132, 1125, 1252, 180, 2286, 1265, 1575, 1299, 3670, 7056, 1207, 5443, 20088, 2004, 28757, 21253, 4320, 1317, 4742, 1189, 9709, 2207, 186, 6255, 121, 1548, 4742, 1994, 1123, 2445, 3713, 1125, 13643, 1175, 1568, 21812, 14159, 1167, 8986, 190, 1576, 4511, 3862, 1197, 4092, 488, 125, 123, 123, 123, 119, 16823, 20790, 1214, 1125, 1805, 4420, 3702, 4345, 18711, 1170, 4742, 21469, 1197, 18711, 1408, 28027, 1116, 1837, 6531, 6637, 106, 106, 16519, 488, 125, 123, 123, 129, 119, 1170, 4742, 10656, 1561, 21042, 16509, 1188, 1189, 5923, 1469, 1158, 3837, 1125, 1248, 1195, 6526, 1357, 3618, 1170, 2929, 1125, 1982, 5887, 1318, 3643, 5646, 8691, 1199, 1248, 1195, 6526, 1188, 20876, 174, 9607, 1186, 14722, 1300, 1170, 9108, 1227, 4742, 119, 5044, 1199, 9346, 1186, 2069, 121, 1548, 2929, 2551, 1219, 1118, 2052, 1382, 1167, 1252, 180, 2286, 1265, 1575, 1177, 6063, 29732, 1256, 1561, 6586, 488, 125, 123, 123, 130, 1469, 1125, 5028, 30889, 1297, 106, 106, 4929, 3006, 2137, 7795, 7683, 106, 106, 152, 1258, 12650, 1177, 21510, 106, 106, 2439, 174, 11709, 30898, 1177, 21510, 106, 106, 5335, 29547, 15945, 6068, 106, 106, 2951, 174, 1627, 12354, 2097, 106, 106, 27884, 488, 106, 1645, 8532, 1845, 1323, 1618, 7541, 1305, 27634, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 21825, 1334, 15215, 3583, 1323, 1734, 189, 1212, 1140, 1125, 26650, 15805, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 1233, 1558, 172, 2172, 10948, 11435, 1323, 6239, 29752, 1469, 3719, 1128, 2548, 6087, 1350, 197, 151, 1219, 119, 488, 125, 123, 123, 127, 106, 3091, 1212, 1140, 4845, 1569, 1323, 1734, 189, 1212, 3561, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 10958, 1531, 1154, 26296, 1333, 1323, 1734, 189, 1212, 1140, 106, 1768, 3536, 1187, 1343, 186, 2172, 1252, 192, 3046, 1149, 1323, 1158, 3176, 189, 1343, 29891, 488, 125, 123, 123, 124, 106, 13752, 1694, 1289, 1172, 1438, 22691, 2009, 1323, 1163, 173, 1307, 178, 1220, 106, 8559, 19713, 3755, 1500, 1323, 1734, 189, 1212, 1140, 1125, 3755, 5160, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 106, 28870, 5825, 488, 106, 488, 7649, 9229, 1125, 1252, 180, 2286, 1265, 1575, 106, 106, 2951, 174, 1125, 23013, 1186, 20375, 106, 2951, 174, 1304, 1128, 1935, 7683, 106, 157, 1195, 6526, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 22598, 2286, 1265, 1575, 1299, 1189, 4170, 4742, 1304, 1128, 1935, 7683, 17779, 121, 18512, 6452, 1188, 21308, 9344, 1136, 14624, 1318, 2577, 197, 9607, 1125, 1248, 10355, 2433, 1300, 1170, 3819, 11185, 1317, 7758, 1125, 1158, 19110, 9993, 1125, 1158, 20707, 1464, 1164, 3125, 121, 2932, 4742, 20296, 9924, 1125, 3171, 7795, 7683, 18615, 1197, 30898, 1177, 21510, 1571, 10163, 12354, 6087, 1186, 14722, 1215, 1207, 4786, 10654, 1734, 189, 1212, 1140, 1297, 106, 106, 30609, 488, 106, 22598, 2286, 1265, 1575, 1299, 1170, 4742, 1170, 1408, 7271, 1304, 28736, 4654, 1548, 4742, 1125, 4438, 30380, 1281, 15574, 6365, 2335, 2511, 12179, 6322, 119, 1170, 12179, 13949, 2181, 1867, 6344, 14360, 1304, 7269, 1541, 15690, 2518, 1508, 14931, 1313, 3371, 9709, 121, 106, 106, 2606, 4742, 1281, 3754, 1439, 1186, 5999, 9355, 1188, 10395, 1257, 106, 1548, 2854, 13455, 106, 1548, 2854, 5373, 244, 1613, 106, 1548, 2854, 8286, 1132, 106, 1643, 1138, 9312, 1197, 17588, 2026, 12521, 3030, 11435, 106, 106, 216, 1909, 28407, 1186, 488, 124, 132, 129, 128, 119, 1170, 4742, 2368, 27563, 1300, 1158, 6300, 1125, 1158, 6233, 14299, 5206, 121, 7155, 3171, 7795, 7683, 8751, 9356, 1170, 10395, 4249, 1382, 2743, 2205, 2671, 5068, 106, 106, 2606, 4742, 2034, 1370, 1189, 9123, 3081, 1121, 1313, 1207, 4092, 488, 124, 132, 131, 123, 121, 1548, 8328, 1125, 21396, 14091, 1164, 7497, 1233, 14451, 1237, 1210, 2433, 1188, 1158, 6425, 1227, 4742, 1125, 488, 124, 132, 130, 127, 1188, 488, 124, 132, 131, 130, 116, 1110, 28757, 1125, 29436, 7306, 1107, 1197, 7795, 7683, 1357, 2004, 1844, 1170, 9672, 1197, 4742, 190, 14693, 8403, 1297, 2576, 1398, 8943, 1170, 1408, 20748, 1199, 1299, 1158, 1204, 1314, 1304, 4834, 1338, 2665, 24913, 1125, 8865, 1545, 11821, 13296, 11431, 6982, 488, 124, 132, 131, 130, 119, 3110, 1125, 1158, 23598, 1227, 8328, 119, 1170, 4742, 1835, 1313, 1318, 8093, 1125, 30634, 1357, 4216, 3672, 1318, 4556, 3247, 1197, 4092, 488, 124, 132, 132, 123, 121, 488, 106, 106, 3562, 3643, 4595, 1844, 1125, 15364, 4394, 1256, 1170, 4742, 1175, 4601, 1160, 1304, 4299, 18195, 23198, 1721, 31666, 5028, 7795, 7683, 1996, 14826, 174, 2972, 24055, 1768, 3492, 16159, 488, 124, 132, 132, 131, 119, 1170, 8038, 1125, 4595, 1167, 10905, 12302, 1125, 1248, 19895, 4668, 22182, 1189, 10163, 1125, 30898, 1177, 21510, 5505, 1487, 2972, 1125, 1863, 1263, 1210, 1105, 6105, 14993, 1256, 1309, 1170, 4742, 1978, 2818, 1909, 4808, 16095, 106, 106, 2606, 4742, 1299, 3042, 1501, 1512, 1389, 1215, 1207, 17845, 1227, 2397, 186, 1180, 2564, 1662, 27584, 1119, 22073, 9236, 8921, 1158, 14132, 1125, 1252, 180, 2286, 1265, 1575, 1299, 3670, 7056, 1207, 5443, 20088, 2004, 28757, 21253, 4320, 1317, 4742, 1189, 9709, 2207, 186, 6255, 121, 1548, 4742, 1994, 1123, 2445, 3713, 1125, 13643, 1175, 1568, 21812, 14159, 1167, 8986, 190, 1576, 4511, 3862, 1197, 4092, 488, 125, 123, 123, 123, 119, 16823, 20790, 1214, 1125, 1805, 4420, 3702, 4345, 18711, 1170, 4742, 21469, 1197, 18711, 1408, 28027, 1116, 1837, 6531, 6637, 106, 106, 16519, 488, 125, 123, 123, 129, 119, 1170, 4742, 10656, 1561, 21042, 16509, 1188, 1189, 5923, 1469, 1158, 3837, 1125, 1248, 1195, 6526, 1357, 3618, 1170, 2929, 1125, 1982, 5887, 1318, 3643, 5646, 8691, 1199, 1248, 1195, 6526, 1188, 20876, 174, 9607, 1186, 14722, 1300, 1170, 9108, 1227, 4742, 119, 5044, 1199, 9346, 1186, 2069, 121, 1548, 2929, 2551, 1219, 1118, 2052, 1382, 1167, 1252, 180, 2286, 1265, 1575, 1177, 6063, 29732, 1256, 1561, 6586, 488, 125, 123, 123, 130, 1469, 1125, 5028, 30889, 1297, 106, 106, 4929, 3006, 2137, 7795, 7683, 106, 106, 152, 1258, 12650, 1177, 21510, 106, 106, 2439, 174, 11709, 30898, 1177, 21510, 106, 106, 5335, 29547, 15945, 6068, 106, 106, 2951, 174, 1627, 12354, 2097, 106, 106, 27884, 488, 106, 1645, 8532, 1845, 1323, 1618, 7541, 1305, 27634, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 21825, 1334, 15215, 3583, 1323, 1734, 189, 1212, 1140, 1125, 26650, 15805, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 1233, 1558, 172, 2172, 10948, 11435, 1323, 6239, 29752, 1469, 3719, 1128, 2548, 6087, 1350, 197, 151, 1219, 119, 488, 125, 123, 123, 127, 106, 3091, 1212, 1140, 4845, 1569, 1323, 1734, 189, 1212, 3561, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 10958, 1531, 1154, 26296, 1333, 1323, 1734, 189, 1212, 1140, 106, 1768, 3536, 1187, 1343, 186, 2172, 1252, 192, 3046, 1149, 1323, 1158, 3176, 189, 1343, 29891, 488, 125, 123, 123, 124, 106, 13752, 1694, 1289, 1172, 1438, 22691, 2009, 1323, 1163, 173, 1307, 178, 1220, 106, 8559, 19713, 3755, 1500, 1323, 1734, 189, 1212, 1140, 1125, 3755, 5160, 488, 125, 123, 123, 131, 7560, 22295, 1125, 25588, 7129, 18948, 106, 106, 28870, 5825, 488, 106, 488, 7649, 9229, 1125, 1252, 180, 2286, 1265, 1575, 106, 106, 2951, 174, 1125, 23013, 1186, 20375, 106, 2951, 174, 1304, 1128, 1935, 7683, 106, 157, 1195, 6526, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 26389, 10724, 25227, 1125, 7711, 1175, 119, 1859, 2986, 1299, 1318, 16402, 15142, 10903, 1125, 7711, 8693, 1199, 1207, 10431, 21170, 1197, 3293, 10724, 1331, 12041, 7823, 1227, 3151, 25985, 4716, 3601, 1835, 488, 124, 132, 125, 127, 1167, 488, 124, 132, 125, 131, 119, 14275, 1170, 5941, 26613, 119, 1158, 30153, 7541, 1167, 1158, 26274, 1508, 2595, 1285, 1723, 1158, 4444, 15613, 1281, 7592, 1188, 1158, 9640, 9891, 119, 11781, 1309, 1256, 1158, 6128, 9891, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 2069, 19729, 1281, 1225, 8489, 1129, 1317, 16277, 1257, 1282, 5018, 15613, 1167, 1207, 28836, 1252, 3149, 3502, 106, 106, 30609, 106, 2606, 25985, 1299, 9601, 1188, 5444, 13616, 1197, 5941, 1517, 1256, 18051, 1189, 2594, 3683, 2217, 1187, 244, 1186, 488, 124, 132, 124, 132, 119, 1835, 1207, 10328, 6361, 10570, 7269, 6047, 15562, 1496, 10724, 193, 1603, 3556, 6229, 4194, 116, 1167, 31767, 7269, 4289, 193, 4194, 116, 22169, 1203, 1199, 1309, 1207, 10431, 1125, 2008, 3203, 10328, 6361, 5524, 2368, 2949, 2548, 1213, 2069, 2768, 1215, 27252, 28468, 1170, 25985, 8718, 5125, 5999, 2165, 19539, 8566, 2391, 1227, 19517, 2308, 19256, 3555, 19371, 1125, 1158, 1222, 15562, 1357, 20912, 1170, 4322, 4587, 6093, 28952, 13299, 1186, 1318, 8613, 1126, 3430, 2585, 3219, 4924, 6666, 14974, 7762, 2768, 121, 1643, 1222, 15562, 14802, 2072, 1170, 29672, 2806, 1189, 29672, 1303, 27216, 1215, 1207, 5941, 1517, 1186, 488, 124, 132, 125, 131, 121, 106, 106, 3562, 9640, 9891, 1299, 22008, 1215, 1158, 1173, 193, 4194, 1357, 13970, 1594, 11400, 2308, 19256, 3555, 11707, 3693, 1167, 1816, 2768, 4112, 1158, 18409, 1125, 4444, 15613, 1125, 7711, 4289, 155, 18748, 1299, 18019, 3798, 1768, 1299, 2072, 10866, 1125, 9571, 1170, 16277, 1300, 5999, 5305, 3219, 4924, 3227, 1199, 22542, 3904, 1285, 5999, 2714, 3219, 4924, 119, 2069, 1188, 10081, 1167, 2069, 1188, 28347, 121, 1643, 30153, 7541, 18900, 1170, 3694, 1125, 4322, 4986, 1723, 1207, 10924, 16801, 6441, 1346, 1125, 488, 124, 132, 126, 126, 1188, 488, 124, 132, 130, 130, 119, 1508, 12030, 9137, 1473, 1215, 1158, 26274, 1357, 1207, 18900, 1667, 1457, 1643, 16934, 9891, 1299, 1597, 3511, 187, 1277, 1215, 1158, 22925, 12507, 27213, 1167, 1110, 2774, 2138, 244, 8826, 5305, 1125, 488, 124, 132, 126, 130, 1188, 488, 124, 132, 127, 130, 121, 106, 106, 2606, 16277, 21835, 1186, 31575, 2750, 1158, 6545, 1167, 1207, 20825, 23706, 16827, 1256, 1207, 10431, 10724, 1331, 1485, 1186, 13790, 1256, 1207, 9973, 17718, 13212, 1842, 1309, 1508, 1158, 11609, 1227, 2854, 1167, 1207, 10765, 13461, 10772, 3350, 1170, 25985, 7171, 1125, 1594, 11677, 1313, 1207, 4092, 488, 124, 132, 130, 123, 119, 3747, 1188, 4262, 1125, 1282, 20300, 1227, 2510, 1125, 20825, 7174, 9484, 1867, 11012, 1207, 3203, 16801, 3227, 1473, 1313, 1207, 4092, 488, 124, 132, 130, 123, 1167, 488, 124, 132, 131, 123, 2604, 1129, 1186, 16618, 1167, 1186, 4561, 121, 1548, 4755, 3904, 1125, 5753, 1974, 488, 124, 132, 131, 124, 120, 124, 132, 131, 126, 119, 1835, 1158, 26274, 1167, 1158, 30153, 243, 4780, 4249, 4550, 3227, 2357, 1170, 5941, 26613, 6058, 25070, 1227, 3694, 121, 106, 106, 4298, 6128, 9891, 1299, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 1469, 8823, 18443, 1197, 10431, 1304, 5018, 15613, 1167, 1197, 28836, 1252, 3149, 3502, 1643, 7759, 1197, 20825, 1508, 3227, 1234, 1313, 1189, 4779, 1304, 28892, 1125, 1643, 1204, 25465, 1186, 10665, 11438, 1167, 1170, 4933, 1299, 19680, 1188, 8260, 7056, 6334, 2768, 1186, 2264, 6204, 1814, 3904, 119, 1835, 1158, 30153, 7541, 1167, 1207, 28836, 1252, 3149, 2357, 4249, 4550, 3227, 3502, 106, 106, 155, 26361, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 153, 1404, 1146, 19047, 190, 1300, 21017, 158, 145, 1862, 106, 106, 2330, 1916, 11249, 10724, 25227, 1125, 7711, 106, 8039, 244, 4538, 1125, 7711, 2081, 4338, 148, 4657, 114, 32001, 488, 106, 32000, 20036, 106, 2606, 26389, 10724, 25227, 1125, 7711, 1175, 119, 1859, 2986, 1299, 1318, 16402, 15142, 10903, 1125, 7711, 8693, 1199, 1207, 10431, 21170, 1197, 3293, 10724, 1331, 12041, 7823, 1227, 3151, 25985, 4716, 3601, 1835, 488, 124, 132, 125, 127, 1167, 488, 124, 132, 125, 131, 119, 14275, 1170, 5941, 26613, 119, 1158, 30153, 7541, 1167, 1158, 26274, 1508, 2595, 1285, 1723, 1158, 4444, 15613, 1281, 7592, 1188, 1158, 9640, 9891, 119, 11781, 1309, 1256, 1158, 6128, 9891, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 2069, 19729, 1281, 1225, 8489, 1129, 1317, 16277, 1257, 1282, 5018, 15613, 1167, 1207, 28836, 1252, 3149, 3502, 106, 106, 30609, 106, 2606, 25985, 1299, 9601, 1188, 5444, 13616, 1197, 5941, 1517, 1256, 18051, 1189, 2594, 3683, 2217, 1187, 244, 1186, 488, 124, 132, 124, 132, 119, 1835, 1207, 10328, 6361, 10570, 7269, 6047, 15562, 1496, 10724, 193, 1603, 3556, 6229, 4194, 116, 1167, 31767, 7269, 4289, 193, 4194, 116, 22169, 1203, 1199, 1309, 1207, 10431, 1125, 2008, 3203, 10328, 6361, 5524, 2368, 2949, 2548, 1213, 2069, 2768, 1215, 27252, 28468, 1170, 25985, 8718, 5125, 5999, 2165, 19539, 8566, 2391, 1227, 19517, 2308, 19256, 3555, 19371, 1125, 1158, 1222, 15562, 1357, 20912, 1170, 4322, 4587, 6093, 28952, 13299, 1186, 1318, 8613, 1126, 3430, 2585, 3219, 4924, 6666, 14974, 7762, 2768, 121, 1643, 1222, 15562, 14802, 2072, 1170, 29672, 2806, 1189, 29672, 1303, 27216, 1215, 1207, 5941, 1517, 1186, 488, 124, 132, 125, 131, 121, 106, 106, 3562, 9640, 9891, 1299, 22008, 1215, 1158, 1173, 193, 4194, 1357, 13970, 1594, 11400, 2308, 19256, 3555, 11707, 3693, 1167, 1816, 2768, 4112, 1158, 18409, 1125, 4444, 15613, 1125, 7711, 4289, 155, 18748, 1299, 18019, 3798, 1768, 1299, 2072, 10866, 1125, 9571, 1170, 16277, 1300, 5999, 5305, 3219, 4924, 3227, 1199, 22542, 3904, 1285, 5999, 2714, 3219, 4924, 119, 2069, 1188, 10081, 1167, 2069, 1188, 28347, 121, 1643, 30153, 7541, 18900, 1170, 3694, 1125, 4322, 4986, 1723, 1207, 10924, 16801, 6441, 1346, 1125, 488, 124, 132, 126, 126, 1188, 488, 124, 132, 130, 130, 119, 1508, 12030, 9137, 1473, 1215, 1158, 26274, 1357, 1207, 18900, 1667, 1457, 1643, 16934, 9891, 1299, 1597, 3511, 187, 1277, 1215, 1158, 22925, 12507, 27213, 1167, 1110, 2774, 2138, 244, 8826, 5305, 1125, 488, 124, 132, 126, 130, 1188, 488, 124, 132, 127, 130, 121, 106, 106, 2606, 16277, 21835, 1186, 31575, 2750, 1158, 6545, 1167, 1207, 20825, 23706, 16827, 1256, 1207, 10431, 10724, 1331, 1485, 1186, 13790, 1256, 1207, 9973, 17718, 13212, 1842, 1309, 1508, 1158, 11609, 1227, 2854, 1167, 1207, 10765, 13461, 10772, 3350, 1170, 25985, 7171, 1125, 1594, 11677, 1313, 1207, 4092, 488, 124, 132, 130, 123, 119, 3747, 1188, 4262, 1125, 1282, 20300, 1227, 2510, 1125, 20825, 7174, 9484, 1867, 11012, 1207, 3203, 16801, 3227, 1473, 1313, 1207, 4092, 488, 124, 132, 130, 123, 1167, 488, 124, 132, 131, 123, 2604, 1129, 1186, 16618, 1167, 1186, 4561, 121, 1548, 4755, 3904, 1125, 5753, 1974, 488, 124, 132, 131, 124, 120, 124, 132, 131, 126, 119, 1835, 1158, 26274, 1167, 1158, 30153, 243, 4780, 4249, 4550, 3227, 2357, 1170, 5941, 26613, 6058, 25070, 1227, 3694, 121, 106, 106, 4298, 6128, 9891, 1299, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 1469, 8823, 18443, 1197, 10431, 1304, 5018, 15613, 1167, 1197, 28836, 1252, 3149, 3502, 1643, 7759, 1197, 20825, 1508, 3227, 1234, 1313, 1189, 4779, 1304, 28892, 1125, 1643, 1204, 25465, 1186, 10665, 11438, 1167, 1170, 4933, 1299, 19680, 1188, 8260, 7056, 6334, 9758, 1186, 2264, 6204, 1814, 3904, 119, 1835, 1158, 30153, 7541, 1167, 1207, 28836, 1252, 3149, 2357, 4249, 4550, 3227, 3502, 106, 106, 155, 26361, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 153, 1404, 1146, 19047, 190, 1300, 21017, 158, 145, 1862, 106, 106, 2330, 1916, 11249, 10724, 25227, 1125, 7711, 106, 8039, 244, 4538, 1125, 7711, 2081, 4338, 148, 4657, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 26389, 10724, 25227, 1125, 7711, 1175, 119, 1859, 2986, 1299, 1318, 16402, 15142, 10903, 1125, 7711, 8693, 1199, 1207, 10431, 21170, 1197, 3293, 10724, 1331, 12041, 7823, 1227, 3151, 25985, 4716, 3601, 1835, 488, 124, 132, 125, 127, 1167, 488, 124, 132, 125, 131, 119, 14275, 1170, 5941, 26613, 119, 1158, 30153, 7541, 1167, 1158, 26274, 1508, 2595, 1285, 1723, 1158, 4444, 15613, 1281, 7592, 1188, 1158, 9640, 9891, 119, 11781, 1309, 1256, 1158, 6128, 9891, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 2069, 19729, 1281, 1225, 8489, 1129, 1317, 16277, 1257, 1282, 5018, 15613, 1167, 1207, 28836, 1252, 3149, 3502, 106, 106, 30609, 106, 2606, 25985, 1299, 9601, 1188, 5444, 13616, 1197, 5941, 1517, 1256, 18051, 1189, 2594, 3683, 2217, 1187, 244, 1186, 488, 124, 132, 124, 132, 119, 1835, 1207, 10328, 6361, 10570, 7269, 6047, 15562, 1496, 10724, 193, 1603, 3556, 6229, 4194, 116, 1167, 31767, 7269, 4289, 193, 4194, 116, 22169, 1203, 1199, 1309, 1207, 10431, 1125, 2008, 3203, 10328, 6361, 5524, 2368, 2949, 2548, 1213, 2069, 2768, 1215, 27252, 28468, 1170, 25985, 8718, 5125, 5999, 2165, 19539, 8566, 2391, 1227, 19517, 2308, 19256, 3555, 19371, 1125, 1158, 1222, 15562, 1357, 20912, 1170, 4322, 4587, 6093, 28952, 13299, 1186, 1318, 8613, 1126, 3430, 2585, 3219, 4924, 6666, 14974, 7762, 2768, 121, 1643, 1222, 15562, 14802, 2072, 1170, 29672, 2806, 1189, 29672, 1303, 27216, 1215, 1207, 5941, 1517, 1186, 488, 124, 132, 125, 131, 121, 106, 106, 3562, 9640, 9891, 1299, 22008, 1215, 1158, 1173, 193, 4194, 1357, 13970, 1594, 11400, 2308, 19256, 3555, 11707, 3693, 1167, 1816, 2768, 4112, 1158, 18409, 1125, 4444, 15613, 1125, 7711, 4289, 155, 18748, 1299, 18019, 3798, 1768, 1299, 2072, 10866, 1125, 9571, 1170, 16277, 1300, 5999, 5305, 3219, 4924, 3227, 1199, 22542, 3904, 1285, 5999, 2714, 3219, 4924, 119, 2069, 1188, 10081, 1167, 2069, 1188, 28347, 121, 1643, 30153, 7541, 18900, 1170, 3694, 1125, 4322, 4986, 1723, 1207, 10924, 16801, 6441, 1346, 1125, 488, 124, 132, 126, 126, 1188, 488, 124, 132, 130, 130, 119, 1508, 12030, 9137, 1473, 1215, 1158, 26274, 1357, 1207, 18900, 1667, 1457, 1643, 16934, 9891, 1299, 1597, 3511, 187, 1277, 1215, 1158, 22925, 12507, 27213, 1167, 1110, 2774, 2138, 244, 8826, 5305, 1125, 488, 124, 132, 126, 130, 1188, 488, 124, 132, 127, 130, 121, 106, 106, 2606, 16277, 21835, 1186, 31575, 2750, 1158, 6545, 1167, 1207, 20825, 23706, 16827, 1256, 1207, 10431, 10724, 1331, 1485, 1186, 13790, 1256, 1207, 9973, 17718, 13212, 1842, 1309, 1508, 1158, 11609, 1227, 2854, 1167, 1207, 10765, 13461, 10772, 3350, 1170, 25985, 7171, 1125, 1594, 11677, 1313, 1207, 4092, 488, 124, 132, 130, 123, 119, 3747, 1188, 4262, 1125, 1282, 20300, 1227, 2510, 1125, 20825, 7174, 9484, 1867, 11012, 1207, 3203, 16801, 3227, 1473, 1313, 1207, 4092, 488, 124, 132, 130, 123, 1167, 488, 124, 132, 131, 123, 2604, 1129, 1186, 16618, 1167, 1186, 4561, 121, 1548, 4755, 3904, 1125, 5753, 1974, 488, 124, 132, 131, 124, 120, 124, 132, 131, 126, 119, 1835, 1158, 26274, 1167, 1158, 30153, 243, 4780, 4249, 4550, 3227, 2357, 1170, 5941, 26613, 6058, 25070, 1227, 3694, 121, 106, 106, 4298, 6128, 9891, 1299, 3227, 1303, 1186, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 119, 1469, 8823, 18443, 1197, 10431, 1304, 5018, 15613, 1167, 1197, 28836, 1252, 3149, 3502, 1643, 7759, 1197, 20825, 1508, 3227, 1234, 1313, 1189, 4779, 1304, 28892, 1125, 1643, 1204, 25465, 1186, 10665, 11438, 1167, 1170, 4933, 1299, 19680, 1188, 8260, 7056, 6334, 9758, 1186, 2264, 6204, 1814, 3904, 119, 1835, 1158, 30153, 7541, 1167, 1207, 28836, 1252, 3149, 2357, 4249, 4550, 3227, 3502, 106, 106, 155, 26361, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 153, 1404, 1146, 19047, 190, 1300, 21017, 158, 145, 1862, 106, 106, 2330, 1916, 11249, 10724, 25227, 1125, 7711, 106, 8039, 244, 4538, 1125, 7711, 2081, 4338, 148, 4657, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 1492, 1475, 1492, 1475, 1110, 3279, 1299, 1170, 5582, 1493, 3555, 6030, 1125, 19182, 1214, 1352, 1516, 6871, 5294, 14169, 1215, 3699, 7162, 4748, 1527, 5016, 1186, 2859, 124, 132, 130, 127, 28711, 106, 106, 4303, 1157, 1125, 26903, 106, 6880, 13507, 22529, 2445, 119, 1158, 2076, 13407, 1300, 1170, 4415, 6030, 1808, 25531, 1125, 1423, 12835, 1357, 31422, 29059, 1492, 1475, 1110, 3279, 1167, 10823, 19182, 1214, 1352, 1516, 6871, 106, 3562, 15038, 17933, 2404, 1177, 1105, 1177, 1105, 2859, 1182, 1318, 14132, 1227, 9672, 1125, 488, 124, 132, 129, 126, 1215, 28111, 1306, 1641, 2375, 121, 1418, 106, 1686, 2859, 124, 132, 130, 127, 25712, 1300, 26903, 10313, 114, 185, 22939, 12788, 119, 28111, 1306, 1641, 2375, 31020, 1561, 5865, 3451, 1125, 10313, 114, 185, 114, 3538, 1618, 121, 106, 106, 4455, 8470, 106, 106, 152, 19486, 2624, 1922, 12892, 1525, 1167, 4595, 10709, 1104, 1257, 23823, 1222, 1500, 1242, 1257, 488, 124, 2040, 26417, 1671, 3208, 1257, 488, 126, 120, 131, 2040, 24857, 1222, 1767, 197, 1257, 488, 125, 120, 127, 120, 129, 120, 132, 120, 124, 125, 2040, 1671, 9591, 22983, 1257, 488, 128, 120, 130, 120, 124, 123, 2040, 6780, 21583, 1257, 488, 124, 124, 2040, 1539, 1121, 2038, 16565, 1300, 1410, 1492, 1475, 1110, 3279, 6537, 1257, 3699, 1753, 8876, 106, 106, 20634, 1167, 5474, 106, 106, 3681, 4354, 10709, 9665, 1186, 2859, 124, 132, 130, 127, 1418, 26507, 1125, 19182, 1214, 1352, 1516, 6871, 32001, 488, 106, 32000, 20036, 106, 114, 4506, 1475, 1492, 1475, 1110, 3279, 1299, 1170, 5582, 1493, 3555, 6030, 1125, 19182, 1214, 1352, 1516, 6871, 5294, 14169, 1215, 3699, 7162, 4748, 1527, 5016, 1186, 2859, 124, 132, 130, 127, 28711, 106, 106, 4303, 1157, 1125, 26903, 488, 106, 2576, 13507, 1215, 1370, 2445, 119, 1158, 2076, 13407, 1300, 1170, 4415, 6030, 1808, 25531, 1125, 1423, 12835, 1357, 31422, 29059, 1492, 1475, 1110, 3279, 1167, 10823, 19182, 1214, 1352, 1516, 6871, 106, 1643, 15038, 17933, 2404, 1177, 1105, 1177, 1105, 2859, 1182, 1158, 14132, 1227, 9672, 1125, 488, 124, 132, 129, 126, 1215, 28111, 1306, 1641, 2375, 121, 1418, 106, 1653, 2859, 124, 132, 130, 127, 25712, 1300, 26903, 10313, 114, 185, 22939, 12788, 119, 28111, 1306, 1641, 2375, 31020, 1561, 5865, 3451, 1125, 10313, 114, 185, 114, 3538, 1618, 121, 106, 106, 4455, 8470, 106, 106, 152, 19486, 2624, 488, 106, 2233, 12892, 1525, 1167, 4595, 10709, 1104, 1257, 106, 23823, 1222, 1500, 1242, 1257, 488, 124, 2040, 106, 26417, 1671, 3208, 1257, 488, 126, 120, 131, 2040, 106, 24857, 1222, 1767, 197, 1257, 488, 125, 120, 127, 120, 129, 120, 132, 120, 124, 125, 2040, 106, 1671, 9591, 22983, 1257, 488, 128, 120, 130, 120, 124, 123, 2040, 106, 6780, 21583, 1257, 488, 124, 124, 2040, 106, 1539, 1121, 2038, 16565, 1300, 1410, 1492, 1475, 1110, 3279, 6537, 1257, 3699, 1753, 8876, 106, 106, 20634, 1167, 5474, 488, 106, 106, 3681, 4354, 10709, 9665, 1186, 2859, 124, 132, 130, 127, 1418, 106, 3681, 4354, 1125, 19182, 1214, 1352, 1516, 1119, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 4506, 1475, 1492, 1475, 1110, 3279, 1299, 1170, 5582, 1493, 3555, 6030, 1125, 19182, 1214, 1352, 1516, 6871, 5294, 14169, 1215, 3699, 7162, 4748, 1527, 5016, 1186, 2859, 124, 132, 130, 127, 28711, 106, 106, 4303, 1157, 1125, 26903, 488, 106, 2576, 13507, 1215, 1370, 2445, 119, 1158, 2076, 13407, 1300, 1170, 4415, 6030, 1808, 25531, 1125, 1423, 12835, 1357, 31422, 29059, 1492, 1475, 1110, 3279, 1167, 10823, 19182, 1214, 1352, 1516, 6871, 106, 1643, 15038, 17933, 2404, 1177, 1105, 1177, 1105, 2859, 1182, 1158, 14132, 1227, 9672, 1125, 488, 124, 132, 129, 126, 1215, 28111, 1306, 1641, 2375, 121, 1418, 106, 1653, 2859, 124, 132, 130, 127, 25712, 1300, 26903, 10313, 114, 185, 22939, 12788, 119, 28111, 1306, 1641, 2375, 31020, 1561, 5865, 3451, 1125, 10313, 114, 185, 114, 3538, 1618, 121, 106, 106, 4455, 8470, 106, 106, 152, 19486, 2624, 488, 106, 2233, 12892, 1525, 1167, 4595, 10709, 1104, 1257, 106, 23823, 1222, 1500, 1242, 1257, 488, 124, 2040, 106, 26417, 1671, 3208, 1257, 488, 126, 120, 131, 2040, 106, 24857, 1222, 1767, 197, 1257, 488, 125, 120, 127, 120, 129, 120, 132, 120, 124, 125, 2040, 106, 1671, 9591, 22983, 1257, 488, 128, 120, 130, 120, 124, 123, 2040, 106, 6780, 21583, 1257, 488, 124, 124, 2040, 106, 1539, 1121, 2038, 16565, 1300, 1410, 1492, 1475, 1110, 3279, 6537, 1257, 3699, 1753, 8876, 106, 106, 20634, 1167, 5474, 488, 106, 106, 3681, 4354, 10709, 9665, 1186, 2859, 124, 132, 130, 127, 1418, 106, 3681, 4354, 1125, 19182, 1214, 1352, 1516, 1119, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 3598, 1173, 1847, 1300, 19432, 1227, 8038, 15232, 7216, 9400, 1173, 1847, 9675, 1238, 1135, 10066, 3674, 1161, 28062, 14606, 116, 1299, 1189, 2803, 9365, 1300, 16371, 1130, 1227, 8038, 15232, 1167, 1227, 28300, 3207, 5491, 1300, 1158, 17244, 19187, 1215, 6577, 3007, 2038, 25859, 28182, 1173, 1847, 1256, 1170, 5987, 1227, 16533, 3266, 26872, 1170, 488, 126, 123, 2822, 488, 125, 123, 123, 129, 119, 1440, 3598, 1125, 1408, 1125, 488, 130, 123, 123, 5840, 1299, 1170, 3151, 3598, 3273, 244, 1215, 1189, 5987, 1300, 1170, 28300, 3207, 15232, 29756, 1215, 1189, 4199, 2038, 1167, 2081, 1215, 1189, 14318, 1737, 9598, 106, 106, 4929, 13700, 488, 106, 158, 1104, 14590, 14358, 1508, 10440, 1256, 2630, 1227, 1202, 4589, 4539, 1117, 1188, 3862, 1125, 488, 125, 123, 123, 129, 7457, 4001, 180, 1188, 15927, 1355, 29615, 2904, 1207, 10102, 1227, 8038, 15232, 16900, 2666, 1318, 17894, 24164, 3858, 1125, 17378, 1443, 1197, 27103, 1125, 1158, 2076, 3828, 1136, 1309, 1197, 16268, 21236, 1646, 4293, 4393, 17993, 1188, 1982, 3691, 119, 1215, 4070, 1186, 1440, 1357, 8045, 1207, 2164, 30583, 1430, 1197, 5777, 1125, 26150, 6415, 1288, 20248, 1655, 3144, 14271, 1692, 2140, 8263, 15198, 1167, 1980, 5014, 1160, 3547, 5760, 3086, 3393, 1318, 1338, 1625, 1231, 7328, 11400, 1256, 2630, 1227, 1202, 4589, 5549, 3850, 106, 106, 143, 1467, 488, 125, 123, 123, 131, 119, 25859, 28182, 1173, 1847, 1110, 18668, 2782, 1606, 11566, 18917, 244, 1524, 1271, 2285, 1136, 1197, 8323, 25903, 1167, 1227, 28300, 3207, 15232, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 106, 153, 1603, 1642, 1199, 1186, 20917, 106, 16519, 1336, 1227, 20917, 106, 2101, 26669, 1731, 1125, 21931, 280, 1845, 106, 142, 1568, 9523, 30818, 14403, 106, 224, 6206, 1214, 15501, 1364, 106, 5395, 29615, 10878, 1227, 8038, 15232, 106, 4650, 17005, 1317, 8038, 15232, 106, 4226, 1702, 12639, 106, 106, 28870, 5825, 106, 157, 29255, 1173, 1847, 1300, 1170, 1865, 15018, 21170, 6700, 1487, 6630, 4917, 9630, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 9186, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 19705, 106, 26000, 1148, 1227, 3598, 1173, 1847, 119, 1215, 8371, 30087, 106, 2606, 3598, 1173, 1847, 1300, 1170, 8038, 15232, 1323, 2236, 3183, 1764, 1188, 26951, 1215, 1207, 3293, 21741, 106, 2809, 1195, 1128, 1257, 1207, 15058, 16064, 1672, 1170, 3598, 1173, 1847, 119, 2130, 1823, 18097, 1188, 23155, 6496, 1964, 3872, 106, 106, 157, 7197, 12264, 3207, 15232, 106, 22081, 1162, 5958, 18971, 32001, 488, 106, 32000, 20036, 106, 2606, 3598, 1173, 1847, 1300, 19432, 1227, 8038, 15232, 7216, 9400, 1173, 1847, 9675, 1238, 1135, 10066, 3674, 1161, 28062, 14606, 116, 1299, 1189, 2803, 9365, 1300, 16371, 1130, 1227, 8038, 15232, 1167, 1227, 28300, 3207, 5491, 1300, 1158, 17244, 19187, 1215, 6577, 3007, 2038, 25859, 28182, 1173, 1847, 1256, 1170, 5987, 1227, 16533, 3266, 26872, 1170, 488, 126, 123, 2822, 488, 125, 123, 123, 129, 119, 1440, 3598, 1125, 1408, 1125, 488, 130, 123, 123, 5840, 1299, 1170, 3151, 3598, 3273, 244, 1215, 1189, 5987, 1300, 1170, 28300, 3207, 15232, 29756, 1215, 1189, 4199, 2038, 1167, 2081, 1215, 1189, 14318, 1737, 9598, 106, 106, 4929, 13700, 488, 106, 158, 1104, 14590, 14358, 1508, 10440, 1256, 2630, 1227, 1202, 4589, 4539, 1117, 1188, 3862, 1125, 488, 125, 123, 123, 129, 7457, 4001, 180, 1188, 15927, 1355, 29615, 2904, 1207, 10102, 1227, 8038, 15232, 16900, 2666, 1318, 17894, 24164, 3858, 1125, 17378, 1443, 1197, 27103, 1125, 1158, 2076, 3828, 1136, 1309, 1197, 16268, 21236, 1646, 4293, 4393, 17993, 1188, 1982, 3691, 119, 1215, 4070, 1186, 1440, 1357, 8045, 1207, 2164, 30583, 1430, 1197, 5777, 1125, 26150, 6415, 1288, 20248, 1655, 3144, 14271, 1692, 2140, 8263, 15198, 1167, 1980, 5014, 1160, 1440, 5760, 3086, 3393, 1318, 1338, 1625, 1231, 7328, 11400, 1256, 2630, 1227, 1202, 4589, 5549, 3850, 106, 106, 143, 1467, 488, 125, 123, 123, 131, 119, 25859, 28182, 1173, 1847, 1110, 18668, 2782, 1606, 11566, 18917, 244, 1524, 1271, 2285, 1136, 1197, 8323, 25903, 1167, 1227, 28300, 3207, 15232, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 106, 153, 1603, 1642, 1199, 1186, 20917, 106, 16519, 1336, 1227, 20917, 106, 2101, 26669, 1731, 1125, 21931, 280, 1845, 106, 142, 1568, 9523, 30818, 14403, 106, 224, 6206, 1214, 15501, 1364, 106, 5395, 29615, 10878, 1227, 8038, 15232, 106, 4650, 17005, 1317, 8038, 15232, 106, 4226, 1702, 12639, 106, 106, 28870, 5825, 106, 157, 29255, 1173, 1847, 1300, 1170, 1865, 15018, 21170, 6700, 1487, 6630, 4917, 9630, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 9186, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 19705, 106, 26000, 1148, 1227, 3598, 1173, 1847, 119, 1215, 8371, 30087, 106, 2606, 3598, 1173, 1847, 1300, 1170, 8038, 15232, 1323, 2236, 3183, 1764, 1188, 26951, 1215, 1207, 3293, 21741, 106, 2809, 1195, 1128, 1257, 1207, 15058, 16064, 1672, 1170, 3598, 1173, 1847, 119, 2130, 1823, 18097, 1188, 23155, 6496, 1964, 3872, 106, 106, 157, 7197, 12264, 3207, 15232, 106, 22081, 1162, 5958, 18971, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 3598, 1173, 1847, 1300, 19432, 1227, 8038, 15232, 7216, 9400, 1173, 1847, 9675, 1238, 1135, 10066, 3674, 1161, 28062, 14606, 116, 1299, 1189, 2803, 9365, 1300, 16371, 1130, 1227, 8038, 15232, 1167, 1227, 28300, 3207, 5491, 1300, 1158, 17244, 19187, 1215, 6577, 3007, 2038, 25859, 28182, 1173, 1847, 1256, 1170, 5987, 1227, 16533, 3266, 26872, 1170, 488, 126, 123, 2822, 488, 125, 123, 123, 129, 119, 1440, 3598, 1125, 1408, 1125, 488, 130, 123, 123, 5840, 1299, 1170, 3151, 3598, 3273, 244, 1215, 1189, 5987, 1300, 1170, 28300, 3207, 15232, 29756, 1215, 1189, 4199, 2038, 1167, 2081, 1215, 1189, 14318, 1737, 9598, 106, 106, 4929, 13700, 488, 106, 158, 1104, 14590, 14358, 1508, 10440, 1256, 2630, 1227, 1202, 4589, 4539, 1117, 1188, 3862, 1125, 488, 125, 123, 123, 129, 7457, 4001, 180, 1188, 15927, 1355, 29615, 2904, 1207, 10102, 1227, 8038, 15232, 16900, 2666, 1318, 17894, 24164, 3858, 1125, 17378, 1443, 1197, 27103, 1125, 1158, 2076, 3828, 1136, 1309, 1197, 16268, 21236, 1646, 4293, 4393, 17993, 1188, 1982, 3691, 119, 1215, 4070, 1186, 1440, 1357, 8045, 1207, 2164, 30583, 1430, 1197, 5777, 1125, 26150, 6415, 1288, 20248, 1655, 3144, 14271, 1692, 2140, 8263, 15198, 1167, 1980, 5014, 1160, 1440, 5760, 3086, 3393, 1318, 1338, 1625, 1231, 7328, 11400, 1256, 2630, 1227, 1202, 4589, 5549, 3850, 106, 106, 143, 1467, 488, 125, 123, 123, 131, 119, 25859, 28182, 1173, 1847, 1110, 18668, 2782, 1606, 11566, 18917, 244, 1524, 1271, 2285, 1136, 1197, 8323, 25903, 1167, 1227, 28300, 3207, 15232, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 106, 153, 1603, 1642, 1199, 1186, 20917, 106, 16519, 1336, 1227, 20917, 106, 2101, 26669, 1731, 1125, 21931, 280, 1845, 106, 142, 1568, 9523, 30818, 14403, 106, 224, 6206, 1214, 15501, 1364, 106, 5395, 29615, 10878, 1227, 8038, 15232, 106, 4650, 17005, 1317, 8038, 15232, 106, 4226, 1702, 12639, 106, 106, 28870, 5825, 106, 157, 29255, 1173, 1847, 1300, 1170, 1865, 15018, 21170, 6700, 1487, 6630, 4917, 9630, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 9186, 106, 157, 1234, 11125, 1227, 29935, 1173, 1847, 1186, 3451, 19705, 106, 26000, 1148, 1227, 3598, 1173, 1847, 119, 1215, 8371, 30087, 106, 2606, 3598, 1173, 1847, 1300, 1170, 8038, 15232, 1323, 2236, 3183, 1764, 1188, 26951, 1215, 1207, 3293, 21741, 106, 2809, 1195, 1128, 1257, 1207, 15058, 16064, 1672, 1170, 3598, 1173, 1847, 119, 2130, 1823, 18097, 1188, 23155, 6496, 1964, 3872, 106, 106, 157, 7197, 12264, 3207, 15232, 106, 22081, 1162, 5958, 18971, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 119, 125, 7275, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 9688, 106, 5164, 1110, 1913, 12866, 1170, 488, 124, 130, 2627, 15406, 1829, 488, 125, 123, 123, 123, 1188, 3728, 31291, 1180, 5867, 7743, 1142, 116, 1215, 5612, 186, 6427, 8125, 193, 15918, 5784, 106, 106, 20616, 21198, 1329, 5982, 2137, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 126, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 131, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 123, 132, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 11931, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 119, 125, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 119, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 106, 5164, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 125, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 126, 124, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 1638, 237, 1887, 1571, 15342, 1227, 1325, 1468, 2874, 2006, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 151, 2038, 1197, 2678, 12202, 8330, 1842, 1175, 124, 127, 123, 123, 124, 120, 124, 128, 123, 123, 123, 116, 106, 20363, 12451, 20087, 30828, 3436, 106, 106, 10853, 488, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 106, 2744, 1843, 29346, 12688, 1215, 1561, 29902, 24080, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 32001, 488, 106, 32000, 20036, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 119, 125, 7275, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 9688, 106, 5164, 1110, 1913, 12866, 1170, 488, 124, 130, 2584, 488, 125, 123, 123, 123, 1188, 3728, 31291, 1180, 5867, 7743, 1142, 116, 1215, 5612, 186, 6427, 8125, 193, 15918, 5784, 106, 106, 20616, 21198, 1329, 5982, 2137, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 126, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 131, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 123, 132, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 119, 125, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 119, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 106, 5164, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 125, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 126, 124, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 2874, 2006, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 151, 2038, 1197, 2678, 12202, 8330, 1842, 1175, 124, 127, 123, 123, 124, 120, 124, 128, 123, 123, 123, 116, 106, 20363, 12451, 20087, 30828, 3436, 106, 106, 10853, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 106, 2744, 1843, 29346, 12688, 1215, 1561, 29902, 24080, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 119, 125, 7275, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 9688, 106, 5164, 1110, 1913, 12866, 1170, 488, 124, 130, 2584, 488, 125, 123, 123, 123, 1188, 3728, 31291, 1180, 5867, 7743, 1142, 116, 1215, 5612, 186, 6427, 8125, 193, 15918, 5784, 106, 106, 20616, 21198, 1329, 5982, 2137, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 126, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 131, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 123, 132, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 119, 125, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 119, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 106, 5164, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 125, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 126, 124, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 2874, 2006, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 151, 2038, 1197, 2678, 12202, 8330, 1842, 1175, 124, 127, 123, 123, 124, 120, 124, 128, 123, 123, 123, 116, 106, 20363, 12451, 20087, 30828, 3436, 106, 106, 10853, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 106, 2744, 1843, 29346, 12688, 1215, 1561, 29902, 24080, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 151, 244, 30228, 6141, 244, 1175, 4455, 25418, 1166, 284, 5982, 1651, 1186, 27385, 12990, 116, 1299, 1189, 30228, 17023, 1113, 3074, 1517, 8446, 1188, 29487, 1125, 1158, 3837, 1313, 1170, 12311, 1125, 12554, 16432, 1165, 1542, 6387, 1318, 6300, 6141, 1303, 1125, 488, 124, 130, 26285, 1124, 8566, 1527, 1110, 1913, 15974, 1835, 488, 124, 132, 128, 124, 1167, 488, 124, 132, 128, 127, 121, 106, 106, 30609, 1167, 6431, 4134, 488, 106, 106, 2606, 2929, 2335, 2180, 184, 2111, 3282, 3618, 3839, 1913, 15519, 1313, 1207, 4092, 488, 124, 132, 126, 123, 119, 3817, 1282, 23821, 15357, 2068, 1517, 1204, 2715, 2960, 1175, 124, 131, 131, 132, 120, 124, 132, 127, 128, 116, 1186, 1110, 4615, 249, 6968, 1207, 6314, 119, 1357, 1508, 12048, 9290, 4413, 2932, 4249, 1980, 6305, 1158, 2166, 1450, 1167, 1158, 4541, 1125, 1204, 2715, 2960, 1309, 1170, 2929, 4715, 12048, 1170, 11823, 2290, 1158, 4595, 1125, 1282, 23821, 15357, 9259, 7602, 9161, 4313, 488, 248, 179, 2305, 1643, 4971, 28995, 1186, 488, 124, 132, 128, 124, 1167, 1170, 2180, 184, 2111, 3282, 2442, 1309, 1170, 30228, 6141, 244, 1508, 3902, 1186, 2424, 1186, 488, 124, 132, 128, 127, 121, 1768, 1299, 8446, 1300, 1318, 1600, 2316, 1313, 1170, 4742, 6322, 1125, 28950, 288, 248, 284, 176, 3046, 1190, 16432, 1643, 17451, 14937, 1387, 2077, 1126, 1188, 11793, 1227, 30228, 1167, 1189, 1754, 1475, 2442, 10440, 2260, 1299, 23906, 1193, 3502, 106, 106, 2524, 6344, 15670, 1125, 21396, 2028, 2038, 1251, 2004, 1913, 6575, 1568, 1457, 3762, 1207, 4092, 488, 124, 132, 132, 123, 119, 1189, 18253, 1571, 19262, 1227, 2028, 2923, 1251, 1299, 1253, 1738, 3502, 106, 106, 141, 13449, 488, 106, 1518, 154, 161, 13256, 119, 13272, 3435, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 152, 1190, 1172, 106, 155, 3074, 1277, 488, 128, 106, 152, 1190, 1172, 114, 32001, 488, 106, 32000, 20036, 106, 2606, 30228, 6141, 244, 1175, 4455, 25418, 1166, 284, 5982, 1651, 1186, 27385, 12990, 116, 1299, 1189, 30228, 17023, 1113, 3074, 1517, 8446, 1188, 29487, 1125, 1158, 3837, 1313, 1170, 12311, 1125, 12554, 16432, 1165, 1542, 6387, 1318, 6300, 6141, 1303, 1125, 488, 124, 130, 26285, 1124, 1346, 1527, 1110, 1913, 15974, 1835, 488, 124, 132, 128, 124, 1167, 488, 124, 132, 128, 127, 121, 106, 106, 30609, 1167, 6431, 4134, 488, 106, 106, 2606, 2929, 2335, 2180, 184, 2111, 3282, 3618, 3839, 1913, 15519, 1313, 1207, 4092, 488, 124, 132, 126, 123, 119, 3817, 1282, 23821, 15357, 2068, 1517, 1204, 2715, 2960, 1175, 124, 131, 131, 132, 120, 124, 132, 127, 128, 116, 1186, 1110, 4615, 3356, 1207, 6314, 119, 1357, 1508, 12048, 9290, 4413, 2932, 4249, 1980, 6305, 1158, 6545, 1167, 1158, 4541, 1125, 1204, 2715, 2960, 1309, 1170, 2929, 4715, 12048, 1170, 11823, 2290, 1158, 4595, 1125, 1282, 23821, 15357, 9259, 7602, 9161, 4313, 488, 248, 179, 2305, 1643, 4971, 28995, 1186, 488, 124, 132, 128, 124, 1167, 1170, 2180, 184, 2111, 3282, 2442, 1309, 1170, 30228, 6141, 244, 1508, 3902, 1186, 2424, 1186, 488, 124, 132, 128, 127, 121, 1768, 1299, 8446, 1300, 1318, 1600, 2316, 1313, 1170, 4742, 6322, 1125, 28950, 288, 248, 284, 176, 3046, 1190, 16432, 1643, 17451, 14937, 1387, 2077, 1126, 1188, 11793, 1227, 30228, 1167, 1189, 1754, 1475, 2442, 10440, 2260, 1299, 23906, 1193, 3502, 106, 106, 2524, 6344, 15670, 1125, 21396, 2028, 2038, 1251, 2004, 1913, 6575, 1568, 1457, 3762, 1207, 4092, 488, 124, 132, 132, 123, 119, 1189, 18253, 1571, 19262, 1227, 2028, 2923, 1251, 1299, 1253, 1738, 3502, 106, 106, 141, 13449, 488, 106, 1518, 154, 161, 13256, 119, 13272, 3435, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 152, 1190, 1172, 106, 155, 3074, 1277, 488, 128, 106, 152, 1190, 1172, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 30228, 6141, 244, 1175, 4455, 25418, 1166, 284, 5982, 1651, 1186, 27385, 12990, 116, 1299, 1189, 30228, 17023, 1113, 3074, 1517, 8446, 1188, 29487, 1125, 1158, 3837, 1313, 1170, 12311, 1125, 12554, 16432, 1165, 1542, 6387, 1318, 6300, 6141, 1303, 1125, 488, 124, 130, 26285, 1124, 1346, 1527, 1110, 1913, 15974, 1835, 488, 124, 132, 128, 124, 1167, 488, 124, 132, 128, 127, 121, 106, 106, 30609, 1167, 6431, 4134, 488, 106, 106, 2606, 2929, 2335, 2180, 184, 2111, 3282, 3618, 3839, 1913, 15519, 1313, 1207, 4092, 488, 124, 132, 126, 123, 119, 3817, 1282, 23821, 15357, 2068, 1517, 1204, 2715, 2960, 1175, 124, 131, 131, 132, 120, 124, 132, 127, 128, 116, 1186, 1110, 4615, 3356, 1207, 6314, 119, 1357, 1508, 12048, 9290, 4413, 2932, 4249, 1980, 6305, 1158, 6545, 1167, 1158, 4541, 1125, 1204, 2715, 2960, 1309, 1170, 2929, 4715, 12048, 1170, 11823, 2290, 1158, 4595, 1125, 1282, 23821, 15357, 9259, 7602, 9161, 4313, 488, 248, 179, 2305, 1643, 4971, 28995, 1186, 488, 124, 132, 128, 124, 1167, 1170, 2180, 184, 2111, 3282, 2442, 1309, 1170, 30228, 6141, 244, 1508, 3902, 1186, 2424, 1186, 488, 124, 132, 128, 127, 121, 1768, 1299, 8446, 1300, 1318, 1600, 2316, 1313, 1170, 4742, 6322, 1125, 28950, 288, 248, 284, 176, 3046, 1190, 16432, 1643, 17451, 14937, 1387, 2077, 1126, 1188, 11793, 1227, 30228, 1167, 1189, 1754, 1475, 2442, 10440, 2260, 1299, 23906, 1193, 3502, 106, 106, 2524, 6344, 15670, 1125, 21396, 2028, 2038, 1251, 2004, 1913, 6575, 1568, 1457, 3762, 1207, 4092, 488, 124, 132, 132, 123, 119, 1189, 18253, 1571, 19262, 1227, 2028, 2923, 1251, 1299, 1253, 1738, 3502, 106, 106, 141, 13449, 488, 106, 1518, 154, 161, 13256, 119, 13272, 3435, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 30456, 248, 269, 1498, 3432, 294, 5005, 263, 184, 1166, 284, 5982, 1651, 290, 5784, 16385, 3004, 133, 1266, 151, 15675, 1266, 1569, 17529, 7904, 1243, 193, 248, 1200, 1176, 1651, 244, 1579, 12744, 1762, 488, 125, 123, 123, 124, 121, 488, 126, 129, 132, 5701, 1939, 488, 1323, 488, 124, 126, 126, 121, 106, 29633, 9364, 12450, 161, 217, 119, 8713, 1630, 2036, 1518, 3049, 2111, 3282, 1152, 1223, 1887, 192, 1281, 182, 2344, 1493, 1431, 488, 269, 1104, 182, 263, 1210, 2207, 1320, 248, 488, 125, 123, 121, 1290, 9927, 248, 133, 4181, 1651, 2357, 1290, 1435, 16428, 248, 1110, 3034, 1737, 2057, 244, 2969, 273, 185, 2305, 488, 124, 121, 1152, 3881, 121, 16385, 3004, 133, 1922, 1148, 177, 1551, 9468, 488, 125, 123, 124, 126, 121, 488, 124, 131, 125, 5701, 11634, 1205, 2039, 5245, 1673, 17415, 1203, 174, 5663, 9236, 3335, 2430, 5245, 134, 488, 125, 121, 1939, 488, 1323, 488, 124, 125, 130, 121, 106, 106, 20634, 1167, 5474, 488, 106, 106, 152, 1190, 1172, 106, 155, 3074, 1277, 488, 128, 106, 152, 1190, 1172, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 147, 5597, 1198, 2162, 2428, 5867, 1150, 1387, 23986, 488, 124, 132, 124, 123, 1323, 1202, 5583, 19893, 488, 124, 132, 131, 123, 116, 1299, 1189, 7486, 196, 12671, 1167, 23300, 2038, 8403, 121, 106, 106, 141, 11741, 106, 2606, 5509, 3365, 21450, 1186, 488, 124, 132, 130, 131, 1469, 5950, 184, 1173, 3720, 1491, 1233, 7392, 1175, 124, 132, 126, 130, 116, 1281, 9516, 1123, 1188, 1197, 5743, 5147, 4122, 1690, 1167, 6484, 1125, 2435, 1170, 2046, 180, 16118, 2180, 1793, 1125, 7866, 17145, 1188, 8753, 7442, 1470, 1587, 1571, 17941, 5068, 106, 106, 5164, 19859, 1693, 1322, 3356, 1215, 1561, 9625, 1186, 488, 124, 132, 131, 123, 121, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 15273, 196, 12671, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 124, 123, 106, 153, 3400, 1188, 17676, 5386, 106, 31133, 1467, 1186, 2829, 488, 124, 132, 131, 123, 106, 31133, 1467, 1313, 1170, 21836, 1125, 5206, 20595, 106, 31133, 1467, 1188, 488, 129, 132, 2165, 106, 224, 24116, 1125, 15714, 1125, 7220, 2451, 1632, 106, 152, 1740, 1168, 1109, 8403, 1227, 23841, 6298, 32001, 488, 106, 32000, 20036, 106, 114, 147, 5597, 1198, 2162, 2428, 5867, 1150, 1387, 1269, 6037, 488, 124, 132, 124, 123, 1323, 1202, 30416, 488, 124, 132, 131, 123, 116, 1299, 1189, 13590, 12671, 1167, 11869, 3614, 2038, 8403, 121, 106, 106, 141, 11741, 106, 2606, 5509, 3365, 21450, 1186, 488, 124, 132, 130, 131, 1469, 5950, 184, 1173, 3720, 1491, 1233, 7392, 1175, 124, 132, 126, 130, 116, 1281, 9516, 1123, 1188, 1197, 5743, 5147, 4122, 1690, 1167, 6484, 1125, 2435, 1170, 3151, 2180, 1793, 1125, 7866, 17145, 1188, 8753, 7442, 1470, 1587, 1571, 17941, 5068, 106, 106, 5164, 19859, 1693, 1322, 3356, 1215, 1561, 1417, 2818, 1186, 488, 124, 132, 131, 123, 121, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 142, 8851, 12671, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 124, 123, 106, 153, 3400, 1188, 17676, 22630, 106, 31133, 1467, 1186, 2829, 488, 124, 132, 131, 123, 106, 31133, 1467, 1313, 1170, 21836, 1125, 5206, 20595, 106, 31133, 1467, 1188, 488, 129, 132, 2165, 106, 224, 24116, 1125, 15714, 1125, 7220, 2451, 1632, 106, 152, 1740, 1168, 1109, 8403, 1227, 23841, 6298, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 147, 5597, 1198, 2162, 2428, 5867, 1150, 1387, 1269, 6037, 488, 124, 132, 124, 123, 1323, 1202, 30416, 488, 124, 132, 131, 123, 116, 1299, 1189, 13590, 12671, 1167, 11869, 3614, 2038, 8403, 121, 106, 106, 141, 11741, 106, 2606, 5509, 3365, 21450, 1186, 488, 124, 132, 130, 131, 1469, 5950, 184, 1173, 3720, 1491, 1233, 7392, 1175, 124, 132, 126, 130, 116, 1281, 9516, 1123, 1188, 1197, 5743, 5147, 4122, 1690, 1167, 6484, 1125, 2435, 1170, 3151, 2180, 1793, 1125, 7866, 17145, 1188, 8753, 7442, 1470, 1587, 1571, 17941, 5068, 106, 106, 5164, 19859, 1693, 1322, 3356, 1215, 1561, 1417, 2818, 1186, 488, 124, 132, 131, 123, 121, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 142, 8851, 12671, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 124, 123, 106, 153, 3400, 1188, 17676, 22630, 106, 31133, 1467, 1186, 2829, 488, 124, 132, 131, 123, 106, 31133, 1467, 1313, 1170, 21836, 1125, 5206, 20595, 106, 31133, 1467, 1188, 488, 129, 132, 2165, 106, 224, 24116, 1125, 15714, 1125, 7220, 2451, 1632, 106, 152, 1740, 1168, 1109, 8403, 1227, 23841, 6298, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 158, 16791, 1248, 2610, 2178, 1299, 1189, 3418, 2720, 8922, 1215, 24187, 1248, 2610, 2178, 1167, 9665, 1186, 488, 124, 132, 132, 125, 121, 106, 106, 158, 31751, 106, 106, 145, 3352, 4403, 20638, 1257, 1548, 23585, 6771, 3711, 5294, 4521, 1257, 24187, 1248, 2610, 2178, 2941, 1538, 5844, 1257, 24187, 1248, 2610, 2178, 10272, 4134, 1257, 18207, 1222, 1486, 1190, 13511, 6862, 1257, 9161, 1195, 11818, 1390, 1519, 6064, 1500, 1257, 14436, 248, 190, 24264, 9249, 1167, 1173, 5363, 175, 1248, 5363, 190, 6218, 1257, 22317, 1548, 4429, 1167, 21965, 9901, 177, 2694, 4304, 1272, 1257, 18851, 1165, 1351, 2114, 2605, 18303, 12439, 22375, 1109, 1374, 1167, 2605, 18303, 12439, 1325, 6652, 1210, 1333, 20357, 1257, 6780, 2068, 189, 8255, 1518, 1506, 1349, 8471, 178, 262, 1977, 1167, 25191, 1548, 1519, 7676, 1125, 4052, 1257, 1350, 1119, 28677, 9299, 1257, 2315, 25694, 1257, 7922, 1125, 8969, 1257, 2315, 1323, 488, 124, 132, 132, 125, 106, 106, 143, 10995, 8220, 5787, 1204, 1603, 1379, 1257, 7132, 1120, 1637, 22983, 11449, 15021, 1517, 1257, 7132, 1120, 11391, 244, 1637, 1170, 9159, 5519, 2643, 1120, 11449, 4148, 1733, 1257, 1170, 3293, 1119, 9161, 1195, 17397, 182, 2610, 1257, 1170, 2492, 1142, 5598, 28576, 1748, 1897, 1257, 1548, 13881, 16704, 193, 1795, 1196, 25950, 4260, 1257, 1158, 10023, 5519, 2643, 1120, 21408, 1293, 1128, 1845, 1257, 10759, 3699, 1293, 3595, 1109, 1257, 1170, 1674, 1929, 11916, 1214, 12418, 179, 1516, 1257, 1192, 3988, 10399, 2566, 5519, 2643, 1120, 18208, 1266, 1141, 1780, 1160, 186, 1257, 5612, 106, 106, 8036, 2072, 106, 106, 141, 13449, 21408, 7507, 4748, 14886, 1477, 4790, 1859, 2584, 488, 124, 132, 132, 125, 119, 29475, 30973, 3551, 1706, 1105, 2433, 1643, 31238, 31735, 11565, 488, 132, 125, 119, 3141, 488, 124, 132, 132, 126, 106, 106, 28870, 5825, 12483, 2720, 9665, 1186, 488, 124, 132, 132, 125, 12483, 27325, 2720, 12483, 30720, 1186, 31853, 11700, 12483, 30720, 1313, 6389, 2394, 12483, 30720, 1317, 13728, 12483, 30720, 1317, 21709, 12483, 8922, 1215, 24187, 1248, 2610, 2178, 32001, 488, 106, 32000, 20036, 106, 158, 16791, 1248, 2610, 2178, 1299, 1189, 3418, 2720, 8922, 1215, 24187, 1248, 2610, 2178, 1167, 9665, 1186, 488, 124, 132, 132, 125, 121, 106, 106, 158, 31751, 106, 106, 145, 3352, 4403, 488, 106, 20638, 1257, 1548, 23585, 6771, 3711, 106, 5294, 4521, 1257, 24187, 1248, 2610, 2178, 106, 2941, 1538, 5844, 1257, 24187, 1248, 2610, 2178, 106, 10272, 4134, 1257, 18207, 1222, 1486, 1190, 106, 13511, 6862, 1257, 9161, 1195, 11818, 1390, 1519, 106, 6064, 1500, 1257, 14436, 248, 190, 24264, 9249, 1167, 1173, 5363, 175, 1248, 5363, 190, 106, 6218, 1257, 22317, 1548, 4429, 1167, 21965, 9901, 177, 2694, 106, 4304, 1272, 1257, 18851, 1165, 1351, 2114, 2605, 18303, 12439, 22375, 1109, 1374, 1167, 2605, 18303, 12439, 1325, 6652, 1210, 1333, 106, 20357, 1257, 6780, 2068, 189, 8255, 1518, 1506, 1349, 8471, 178, 262, 1977, 1167, 25191, 1548, 1519, 488, 106, 7676, 1125, 4052, 1257, 1350, 1119, 28677, 106, 9299, 1257, 2315, 106, 25694, 1257, 488, 106, 7922, 1125, 8969, 1257, 2315, 1323, 488, 124, 132, 132, 125, 106, 106, 143, 10995, 488, 106, 8220, 5787, 1204, 1603, 1379, 1257, 7132, 1120, 1637, 22983, 106, 11449, 15021, 1517, 1257, 7132, 1120, 11391, 244, 1637, 1170, 9159, 5519, 2643, 1120, 106, 11449, 4148, 1733, 1257, 1170, 3293, 1119, 106, 9161, 1195, 17397, 182, 2610, 1257, 1170, 2492, 1142, 5598, 106, 28576, 1748, 1897, 1257, 1548, 13881, 106, 16704, 193, 1795, 1196, 25950, 4260, 1257, 1158, 10023, 5519, 2643, 1120, 106, 21408, 1293, 1128, 1845, 1257, 10759, 106, 3699, 1293, 3595, 1109, 1257, 1170, 1674, 1929, 106, 11916, 1214, 12418, 179, 1516, 1257, 1192, 3988, 10399, 2566, 5519, 2643, 1120, 106, 18208, 1266, 1141, 1780, 1160, 186, 1257, 5612, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 21408, 7507, 4748, 14886, 1477, 4790, 1859, 2584, 488, 124, 132, 132, 125, 119, 488, 106, 29475, 30973, 3551, 1706, 1105, 2433, 1643, 31238, 31735, 11565, 488, 132, 125, 119, 3141, 488, 124, 132, 132, 126, 106, 106, 28870, 5825, 488, 106, 145, 6417, 2720, 9665, 1186, 488, 124, 132, 132, 125, 106, 145, 6417, 27325, 2720, 106, 145, 6417, 30720, 1186, 31853, 11700, 106, 145, 6417, 30720, 1313, 6389, 2394, 106, 145, 6417, 30720, 1317, 13728, 106, 145, 6417, 30720, 1317, 21709, 106, 145, 6417, 8922, 1215, 24187, 1248, 2610, 2178, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 16791, 1248, 2610, 2178, 1299, 1189, 3418, 2720, 8922, 1215, 24187, 1248, 2610, 2178, 1167, 9665, 1186, 488, 124, 132, 132, 125, 121, 106, 106, 158, 31751, 106, 106, 145, 3352, 4403, 488, 106, 20638, 1257, 1548, 23585, 6771, 3711, 106, 5294, 4521, 1257, 24187, 1248, 2610, 2178, 106, 2941, 1538, 5844, 1257, 24187, 1248, 2610, 2178, 106, 10272, 4134, 1257, 18207, 1222, 1486, 1190, 106, 13511, 6862, 1257, 9161, 1195, 11818, 1390, 1519, 106, 6064, 1500, 1257, 14436, 248, 190, 24264, 9249, 1167, 1173, 5363, 175, 1248, 5363, 190, 106, 6218, 1257, 22317, 1548, 4429, 1167, 21965, 9901, 177, 2694, 106, 4304, 1272, 1257, 18851, 1165, 1351, 2114, 2605, 18303, 12439, 22375, 1109, 1374, 1167, 2605, 18303, 12439, 1325, 6652, 1210, 1333, 106, 20357, 1257, 6780, 2068, 189, 8255, 1518, 1506, 1349, 8471, 178, 262, 1977, 1167, 25191, 1548, 1519, 488, 106, 7676, 1125, 4052, 1257, 1350, 1119, 28677, 106, 9299, 1257, 2315, 106, 25694, 1257, 488, 106, 7922, 1125, 8969, 1257, 2315, 1323, 488, 124, 132, 132, 125, 106, 106, 143, 10995, 488, 106, 8220, 5787, 1204, 1603, 1379, 1257, 7132, 1120, 1637, 22983, 106, 11449, 15021, 1517, 1257, 7132, 1120, 11391, 244, 1637, 1170, 9159, 5519, 2643, 1120, 106, 11449, 4148, 1733, 1257, 1170, 3293, 1119, 106, 9161, 1195, 17397, 182, 2610, 1257, 1170, 2492, 1142, 5598, 106, 28576, 1748, 1897, 1257, 1548, 13881, 106, 16704, 193, 1795, 1196, 25950, 4260, 1257, 1158, 10023, 5519, 2643, 1120, 106, 21408, 1293, 1128, 1845, 1257, 10759, 106, 3699, 1293, 3595, 1109, 1257, 1170, 1674, 1929, 106, 11916, 1214, 12418, 179, 1516, 1257, 1192, 3988, 10399, 2566, 5519, 2643, 1120, 106, 18208, 1266, 1141, 1780, 1160, 186, 1257, 5612, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 21408, 7507, 4748, 14886, 1477, 4790, 1859, 2584, 488, 124, 132, 132, 125, 119, 488, 106, 29475, 30973, 3551, 1706, 1105, 2433, 1643, 31238, 31735, 11565, 488, 132, 125, 119, 3141, 488, 124, 132, 132, 126, 106, 106, 28870, 5825, 488, 106, 145, 6417, 2720, 9665, 1186, 488, 124, 132, 132, 125, 106, 145, 6417, 27325, 2720, 106, 145, 6417, 30720, 1186, 31853, 11700, 106, 145, 6417, 30720, 1313, 6389, 2394, 106, 145, 6417, 30720, 1317, 13728, 106, 145, 6417, 30720, 1317, 21709, 106, 145, 6417, 8922, 1215, 24187, 1248, 2610, 2178, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2003, 1431, 196, 1202, 1770, 1108, 1299, 1189, 4501, 1354, 8403, 1223, 2336, 14451, 1199, 1125, 1158, 2185, 186, 1125, 28834, 26106, 4746, 106, 106, 143, 13886, 4134, 22281, 106, 141, 1475, 186, 1323, 11265, 1307, 186, 16667, 1175, 124, 125, 1523, 1252, 3074, 1126, 17084, 1285, 488, 124, 132, 132, 125, 116, 106, 158, 1142, 1129, 2708, 1483, 1323, 17298, 1410, 1696, 7223, 116, 1175, 125, 195, 22284, 1637, 1165, 5730, 4897, 184, 3683, 488, 124, 132, 132, 128, 116, 106, 2003, 1431, 196, 1202, 1770, 1108, 1323, 20730, 12504, 24531, 4289, 3898, 186, 1590, 150, 130, 119, 488, 124, 132, 132, 129, 116, 106, 150, 1180, 6729, 14754, 20401, 1323, 1410, 2908, 4625, 7010, 190, 7223, 28520, 6729, 14754, 20401, 3835, 143, 1637, 488, 125, 195, 151, 10739, 1254, 1269, 20362, 1810, 488, 124, 132, 132, 130, 116, 106, 25056, 24354, 1591, 22944, 1323, 1173, 1886, 1128, 1175, 124, 125, 1523, 6597, 3758, 1193, 119, 488, 124, 132, 132, 131, 116, 106, 2003, 1431, 196, 1202, 1770, 1108, 1323, 20961, 488, 124, 127, 1175, 125, 123, 123, 126, 116, 106, 106, 151, 1354, 16718, 106, 106, 8198, 25723, 9773, 4735, 106, 106, 152, 1153, 10558, 8403, 1125, 2493, 188, 180, 1277, 5279, 1150, 31532, 106, 159, 2030, 186, 1125, 28834, 5548, 106, 152, 1153, 7703, 1354, 1125, 27385, 5022, 106, 153, 3400, 1186, 488, 124, 132, 129, 132, 106, 153, 244, 1188, 28834, 5548, 4698, 1507, 15108, 116, 32001, 488, 106, 32000, 20036, 106, 2003, 1431, 196, 1202, 1770, 1108, 1299, 1189, 4501, 1354, 8403, 13536, 18479, 1125, 1158, 2185, 186, 1125, 28834, 1150, 5210, 106, 106, 22525, 4134, 24084, 488, 106, 17066, 186, 1323, 17066, 186, 16667, 1175, 124, 125, 1523, 1252, 3074, 1399, 17084, 1285, 488, 124, 132, 132, 125, 116, 106, 9412, 1129, 2708, 1483, 1323, 17298, 1410, 1696, 7223, 116, 1175, 125, 195, 22284, 1637, 1165, 5730, 4897, 184, 3683, 488, 124, 132, 132, 128, 116, 106, 1753, 1431, 196, 1202, 1770, 1108, 1323, 20730, 12504, 24531, 4289, 3898, 186, 1590, 150, 130, 119, 488, 124, 132, 132, 129, 116, 106, 28520, 6729, 14754, 20401, 1323, 1410, 2908, 4625, 7010, 190, 7223, 28520, 6729, 14754, 20401, 3835, 143, 1637, 488, 125, 195, 151, 10739, 1254, 1269, 20362, 1810, 488, 124, 132, 132, 130, 116, 106, 6597, 24354, 1591, 22944, 1323, 1173, 1886, 1128, 1175, 124, 125, 1523, 6597, 3758, 1193, 119, 488, 124, 132, 132, 131, 116, 106, 1753, 1431, 196, 1202, 1770, 1108, 1323, 20961, 488, 124, 127, 1175, 125, 123, 123, 126, 116, 106, 106, 28870, 5825, 106, 106, 8198, 7102, 3136, 106, 106, 152, 1153, 10558, 8403, 1125, 7585, 9894, 106, 159, 2030, 186, 1125, 28834, 5548, 106, 152, 1153, 10558, 1125, 2185, 186, 106, 153, 3400, 1186, 488, 124, 132, 129, 132, 106, 153, 3400, 1188, 28834, 5548, 4698, 1507, 15108, 116, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2003, 1431, 196, 1202, 1770, 1108, 1299, 1189, 4501, 1354, 8403, 13536, 18479, 1125, 1158, 2185, 186, 1125, 28834, 1150, 5210, 106, 106, 22525, 4134, 24084, 488, 106, 17066, 186, 1323, 17066, 186, 16667, 1175, 124, 125, 1523, 1252, 3074, 1399, 17084, 1285, 488, 124, 132, 132, 125, 116, 106, 9412, 1129, 2708, 1483, 1323, 17298, 1410, 1696, 7223, 116, 1175, 125, 195, 22284, 1637, 1165, 5730, 4897, 184, 3683, 488, 124, 132, 132, 128, 116, 106, 1753, 1431, 196, 1202, 1770, 1108, 1323, 20730, 12504, 24531, 4289, 3898, 186, 1590, 150, 130, 119, 488, 124, 132, 132, 129, 116, 106, 28520, 6729, 14754, 20401, 1323, 1410, 2908, 4625, 7010, 190, 7223, 28520, 6729, 14754, 20401, 3835, 143, 1637, 488, 125, 195, 151, 10739, 1254, 1269, 20362, 1810, 488, 124, 132, 132, 130, 116, 106, 6597, 24354, 1591, 22944, 1323, 1173, 1886, 1128, 1175, 124, 125, 1523, 6597, 3758, 1193, 119, 488, 124, 132, 132, 131, 116, 106, 1753, 1431, 196, 1202, 1770, 1108, 1323, 20961, 488, 124, 127, 1175, 125, 123, 123, 126, 116, 106, 106, 28870, 5825, 106, 106, 8198, 7102, 3136, 106, 106, 152, 1153, 10558, 8403, 1125, 7585, 9894, 106, 159, 2030, 186, 1125, 28834, 5548, 106, 152, 1153, 10558, 1125, 2185, 186, 106, 153, 3400, 1186, 488, 124, 132, 129, 132, 106, 153, 3400, 1188, 28834, 5548, 4698, 1507, 15108, 116, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 15211, 5416, 1793, 4497, 20106, 1175, 2951, 1117, 4891, 20732, 11480, 116, 1299, 1189, 1921, 3657, 1227, 27064, 1124, 14630, 1810, 6711, 1125, 14141, 1197, 15430, 25803, 3589, 27610, 18605, 1167, 5391, 1793, 1125, 14141, 3175, 11463, 1230, 7174, 5907, 106, 106, 147, 15376, 488, 106, 2606, 15211, 5416, 1793, 1299, 6113, 1197, 1408, 13713, 15430, 1227, 27064, 1124, 14630, 2036, 1768, 1110, 1913, 15974, 1215, 1197, 4634, 1125, 21524, 1286, 1125, 2855, 22087, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 126, 123, 4885, 1170, 27064, 1124, 1193, 8582, 1299, 12749, 1318, 4104, 6424, 12009, 12372, 8921, 1313, 1125, 5087, 3293, 5519, 18337, 4123, 3603, 1189, 18828, 3657, 1110, 8693, 244, 3672, 2205, 11218, 5416, 2518, 1167, 2539, 19465, 8946, 15365, 1318, 6545, 10015, 21781, 30243, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1653, 488, 124, 131, 128, 130, 119, 2750, 10399, 6362, 7451, 16026, 1659, 1207, 5416, 2518, 2004, 4766, 1170, 3937, 1167, 2698, 3356, 1170, 3293, 3672, 488, 126, 128, 8793, 106, 106, 1686, 488, 124, 131, 132, 126, 119, 1170, 15211, 5416, 1793, 1299, 27658, 2357, 1167, 1207, 2539, 19465, 1186, 8612, 1129, 1256, 1207, 2674, 2094, 1657, 1548, 1921, 5416, 1793, 14065, 1317, 3937, 1186, 488, 124, 132, 124, 123, 1188, 1158, 3011, 1125, 13488, 3054, 1197, 21863, 8403, 1457, 1768, 1251, 4933, 22571, 488, 124, 132, 125, 129, 2585, 1318, 3419, 1338, 20043, 1231, 2539, 11038, 2367, 1186, 2320, 1189, 5987, 1125, 27646, 121, 106, 106, 4479, 2415, 1420, 5416, 21124, 1167, 2539, 16737, 16677, 1645, 1573, 1141, 2504, 16292, 5945, 172, 28219, 1575, 1188, 4110, 1170, 3937, 121, 16292, 5945, 172, 4881, 1123, 1318, 5637, 1861, 1167, 14802, 1594, 5865, 1921, 119, 1170, 15211, 3624, 8765, 31354, 3850, 1548, 15211, 5416, 1793, 1288, 8135, 4550, 19756, 1125, 1909, 4128, 3327, 1197, 18221, 11468, 1457, 1165, 1769, 2388, 1197, 5416, 2518, 1281, 1508, 7343, 7192, 7896, 8693, 1234, 1317, 7866, 1125, 16292, 5945, 1810, 2368, 29931, 1199, 1188, 5610, 15430, 1317, 5545, 2519, 8006, 5277, 1304, 15511, 121, 106, 106, 1686, 488, 124, 132, 131, 127, 119, 2391, 1197, 9881, 13118, 2750, 1158, 23608, 13890, 1109, 12001, 1207, 5416, 2518, 1281, 5039, 1129, 1186, 6311, 3620, 12020, 1170, 1252, 12327, 24873, 1653, 488, 124, 132, 132, 123, 1207, 5416, 2518, 1508, 15695, 1153, 1158, 8483, 5148, 3657, 1227, 14661, 1723, 7477, 12020, 1207, 13890, 1109, 4195, 1167, 1170, 15211, 2539, 8464, 4407, 3614, 7112, 7823, 1197, 13118, 8447, 19137, 5052, 1813, 1170, 1859, 1170, 1921, 1110, 27216, 488, 125, 119, 124, 2199, 1197, 4001, 9172, 1167, 488, 125, 27022, 1300, 488, 132, 123, 1188, 23423, 5277, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 15211, 5416, 1793, 16773, 27542, 15863, 2539, 11038, 1139, 1146, 1124, 14630, 1242, 2794, 1167, 21635, 1254, 2336, 23288, 24264, 1366, 18716, 1571, 13118, 19795, 27767, 17448, 13118, 1227, 7114, 189, 8566, 27542, 15863, 9616, 1186, 8483, 3620, 1723, 18764, 1189, 2510, 1125, 27022, 31612, 1188, 3977, 1227, 15211, 2539, 8464, 4407, 3614, 7112, 106, 106, 20634, 1167, 5474, 106, 106, 2951, 1117, 3657, 1317, 27064, 1124, 1193, 8582, 106, 2951, 1117, 3657, 5416, 1793, 1186, 23777, 32001, 488, 106, 32000, 20036, 106, 2606, 15211, 5416, 1793, 4497, 20106, 1175, 2951, 1117, 4891, 20732, 11480, 116, 1299, 1189, 1921, 3657, 1227, 27064, 1124, 14630, 1810, 6711, 1125, 14141, 1197, 15430, 25803, 3589, 27610, 18605, 1167, 5391, 1793, 1125, 14141, 3175, 11463, 1230, 7174, 5907, 106, 106, 147, 15376, 488, 106, 2606, 15211, 5416, 1793, 1299, 1189, 1197, 1408, 13713, 15430, 1227, 27064, 1124, 14630, 2036, 1768, 1110, 1913, 15974, 1215, 1197, 4634, 1125, 21524, 1286, 1125, 2855, 22087, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 126, 123, 4885, 1170, 27064, 1124, 1193, 8582, 1299, 12749, 1856, 1318, 4104, 6424, 12009, 12372, 8921, 1313, 1125, 5087, 3293, 5519, 18337, 4123, 3603, 1189, 18828, 3657, 1110, 8693, 244, 3672, 2205, 11218, 5416, 2518, 1167, 2539, 19465, 1584, 3191, 1199, 1318, 6545, 10015, 21781, 30243, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1653, 488, 124, 131, 128, 130, 119, 2750, 10399, 6362, 7451, 16026, 1659, 1207, 5416, 2518, 2004, 4766, 1170, 3937, 1167, 2698, 3356, 1170, 3293, 3672, 488, 126, 128, 8793, 106, 106, 1686, 488, 124, 131, 132, 126, 119, 1170, 15211, 5416, 1793, 1299, 27658, 2357, 1167, 1207, 2539, 19465, 1186, 8612, 1129, 1256, 1207, 2674, 2094, 1657, 1548, 1921, 5416, 1793, 14065, 1317, 3937, 1186, 488, 124, 132, 124, 123, 1188, 1158, 3011, 1125, 13488, 3054, 1197, 21863, 8403, 1457, 1768, 1251, 4933, 22571, 488, 124, 132, 125, 129, 2585, 1318, 3419, 1338, 20043, 1231, 2539, 11038, 2367, 1186, 2320, 1189, 5987, 1125, 27646, 121, 106, 106, 4479, 2415, 1420, 5416, 21124, 1167, 2539, 16737, 16677, 1645, 1573, 1141, 2504, 16292, 5945, 172, 28219, 1575, 1188, 4110, 1170, 3937, 121, 16292, 5945, 172, 4881, 1123, 1318, 5637, 1861, 1167, 14802, 1594, 5865, 1921, 119, 1170, 15211, 3624, 8765, 31354, 3850, 1548, 15211, 5416, 1793, 1288, 8135, 4550, 19756, 1125, 1909, 4128, 3327, 1197, 18221, 11468, 1457, 1165, 1769, 2388, 1197, 5416, 2518, 1281, 1508, 7343, 7192, 7896, 8693, 1234, 1317, 7866, 1125, 16292, 5945, 1810, 2368, 29931, 1199, 1188, 5610, 15430, 1317, 5545, 2519, 8006, 5277, 1304, 15511, 121, 106, 106, 1686, 488, 124, 132, 131, 127, 119, 2391, 1197, 9881, 13118, 2750, 1158, 23608, 13890, 1109, 12001, 1207, 5416, 2518, 1281, 5039, 1129, 1186, 6311, 3620, 12020, 1170, 1252, 12327, 24873, 1653, 488, 124, 132, 132, 123, 1207, 5416, 2518, 1508, 15695, 1153, 1158, 8483, 5148, 3657, 1227, 14661, 1723, 7477, 12020, 1207, 13890, 1109, 4195, 1167, 1170, 15211, 2539, 8464, 4407, 3614, 7112, 7823, 1197, 13118, 8447, 19137, 5052, 1813, 1170, 1859, 1170, 1921, 1110, 27216, 488, 125, 119, 124, 2199, 1197, 4001, 9172, 1167, 488, 125, 27022, 1300, 488, 132, 123, 1188, 23423, 5277, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 15211, 5416, 1793, 16773, 27542, 15863, 2539, 11038, 1139, 1146, 1124, 14630, 1242, 2794, 1167, 21635, 1254, 2336, 23288, 24264, 1366, 18716, 1571, 13118, 19795, 27767, 17448, 13118, 1227, 7114, 189, 8566, 27542, 15863, 9616, 1186, 8483, 3620, 1723, 18764, 1189, 2510, 1125, 27022, 31612, 1188, 3977, 1227, 15211, 2539, 8464, 4407, 3614, 7112, 106, 106, 20634, 1167, 5474, 106, 106, 2951, 1117, 3657, 1317, 27064, 1124, 1193, 8582, 106, 2951, 1117, 3657, 5416, 1793, 1186, 23777, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 15211, 5416, 1793, 4497, 20106, 1175, 2951, 1117, 4891, 20732, 11480, 116, 1299, 1189, 1921, 3657, 1227, 27064, 1124, 14630, 1810, 6711, 1125, 14141, 1197, 15430, 25803, 3589, 27610, 18605, 1167, 5391, 1793, 1125, 14141, 3175, 11463, 1230, 7174, 5907, 106, 106, 147, 15376, 488, 106, 2606, 15211, 5416, 1793, 1299, 1189, 1197, 1408, 13713, 15430, 1227, 27064, 1124, 14630, 2036, 1768, 1110, 1913, 15974, 1215, 1197, 4634, 1125, 21524, 1286, 1125, 2855, 22087, 1188, 1158, 1622, 1197, 4092, 488, 124, 131, 126, 123, 4885, 1170, 27064, 1124, 1193, 8582, 1299, 12749, 1856, 1318, 4104, 6424, 12009, 12372, 8921, 1313, 1125, 5087, 3293, 5519, 18337, 4123, 3603, 1189, 18828, 3657, 1110, 8693, 244, 3672, 2205, 11218, 5416, 2518, 1167, 2539, 19465, 1584, 3191, 1199, 1318, 6545, 10015, 21781, 30243, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1653, 488, 124, 131, 128, 130, 119, 2750, 10399, 6362, 7451, 16026, 1659, 1207, 5416, 2518, 2004, 4766, 1170, 3937, 1167, 2698, 3356, 1170, 3293, 3672, 488, 126, 128, 8793, 106, 106, 1686, 488, 124, 131, 132, 126, 119, 1170, 15211, 5416, 1793, 1299, 27658, 2357, 1167, 1207, 2539, 19465, 1186, 8612, 1129, 1256, 1207, 2674, 2094, 1657, 1548, 1921, 5416, 1793, 14065, 1317, 3937, 1186, 488, 124, 132, 124, 123, 1188, 1158, 3011, 1125, 13488, 3054, 1197, 21863, 8403, 1457, 1768, 1251, 4933, 22571, 488, 124, 132, 125, 129, 2585, 1318, 3419, 1338, 20043, 1231, 2539, 11038, 2367, 1186, 2320, 1189, 5987, 1125, 27646, 121, 106, 106, 4479, 2415, 1420, 5416, 21124, 1167, 2539, 16737, 16677, 1645, 1573, 1141, 2504, 16292, 5945, 172, 28219, 1575, 1188, 4110, 1170, 3937, 121, 16292, 5945, 172, 4881, 1123, 1318, 5637, 1861, 1167, 14802, 1594, 5865, 1921, 119, 1170, 15211, 3624, 8765, 31354, 3850, 1548, 15211, 5416, 1793, 1288, 8135, 4550, 19756, 1125, 1909, 4128, 3327, 1197, 18221, 11468, 1457, 1165, 1769, 2388, 1197, 5416, 2518, 1281, 1508, 7343, 7192, 7896, 8693, 1234, 1317, 7866, 1125, 16292, 5945, 1810, 2368, 29931, 1199, 1188, 5610, 15430, 1317, 5545, 2519, 8006, 5277, 1304, 15511, 121, 106, 106, 1686, 488, 124, 132, 131, 127, 119, 2391, 1197, 9881, 13118, 2750, 1158, 23608, 13890, 1109, 12001, 1207, 5416, 2518, 1281, 5039, 1129, 1186, 6311, 3620, 12020, 1170, 1252, 12327, 24873, 1653, 488, 124, 132, 132, 123, 1207, 5416, 2518, 1508, 15695, 1153, 1158, 8483, 5148, 3657, 1227, 14661, 1723, 7477, 12020, 1207, 13890, 1109, 4195, 1167, 1170, 15211, 2539, 8464, 4407, 3614, 7112, 7823, 1197, 13118, 8447, 19137, 5052, 1813, 1170, 1859, 1170, 1921, 1110, 27216, 488, 125, 119, 124, 2199, 1197, 4001, 9172, 1167, 488, 125, 27022, 1300, 488, 132, 123, 1188, 23423, 5277, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 15211, 5416, 1793, 16773, 27542, 15863, 2539, 11038, 1139, 1146, 1124, 14630, 1242, 2794, 1167, 21635, 1254, 2336, 23288, 24264, 1366, 18716, 1571, 13118, 19795, 27767, 17448, 13118, 1227, 7114, 189, 8566, 27542, 15863, 9616, 1186, 8483, 3620, 1723, 18764, 1189, 2510, 1125, 27022, 31612, 1188, 3977, 1227, 15211, 2539, 8464, 4407, 3614, 7112, 106, 106, 20634, 1167, 5474, 106, 106, 2951, 1117, 3657, 1317, 27064, 1124, 1193, 8582, 106, 2951, 1117, 3657, 5416, 1793, 1186, 23777, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2003, 2289, 6200, 1167, 1306, 17453, 2063, 1189, 5047, 6327, 9665, 1186, 488, 125, 123, 123, 126, 1300, 7090, 119, 9028, 23732, 488, 125, 1167, 25196, 121, 15518, 1186, 488, 125, 123, 123, 127, 1300, 11063, 142, 4653, 1167, 11063, 13436, 16599, 8602, 6053, 1189, 5047, 8286, 244, 2079, 18398, 1167, 1158, 4235, 121, 1768, 2856, 1125, 17105, 1158, 11398, 11421, 120, 126, 1362, 5610, 8897, 1227, 5047, 1667, 1186, 9771, 1199, 1207, 2680, 1885, 1128, 1297, 106, 106, 158, 20744, 1125, 5047, 106, 106, 146, 1538, 1356, 3608, 106, 106, 8134, 1606, 8411, 2240, 1524, 106, 106, 20363, 4334, 1125, 5047, 6739, 1382, 1304, 11900, 2671, 5068, 1548, 10952, 3233, 7407, 13885, 7916, 1197, 5946, 2942, 1188, 4759, 1158, 19110, 1186, 4040, 4658, 1835, 488, 125, 125, 10922, 3365, 1996, 4128, 1728, 3393, 1186, 1305, 2196, 1199, 1313, 1158, 9625, 121, 106, 106, 141, 1105, 1153, 106, 106, 1686, 13885, 1322, 1199, 1197, 10982, 28630, 1317, 1962, 1197, 15956, 1227, 5047, 11779, 1250, 1215, 5601, 1496, 1170, 10952, 1996, 11269, 1188, 1197, 14927, 1856, 1318, 7973, 119, 1197, 27095, 1158, 7585, 1227, 27335, 1207, 26556, 1227, 27335, 4892, 106, 106, 158, 31751, 106, 106, 158, 5540, 488, 124, 106, 106, 143, 1119, 1170, 3151, 15956, 119, 31899, 6200, 1167, 1306, 17453, 1281, 4097, 1129, 15857, 13495, 1318, 3888, 4202, 4188, 1317, 3035, 4974, 1808, 2069, 7334, 1374, 1281, 11512, 1129, 6349, 1571, 1367, 8327, 1125, 1111, 1277, 1392, 1167, 1125, 6513, 1125, 1185, 18509, 1186, 6564, 1125, 15243, 2333, 1233, 1807, 6920, 10570, 1170, 4755, 15956, 121, 106, 106, 3562, 6586, 11550, 4593, 3391, 1120, 1259, 1346, 1188, 1158, 16730, 25501, 121, 106, 106, 158, 5540, 488, 125, 106, 106, 4455, 22591, 22439, 1125, 20774, 22591, 1125, 1233, 1807, 6920, 15977, 27992, 1158, 4446, 6348, 3104, 1214, 7278, 1783, 119, 1189, 5962, 1134, 1374, 1357, 1281, 2119, 16254, 1120, 1313, 1197, 29199, 1430, 1115, 6559, 1457, 1768, 3492, 14867, 16866, 7278, 1783, 9033, 12682, 185, 1562, 2357, 2648, 17105, 1158, 4446, 7278, 1783, 1114, 2100, 1167, 5323, 1196, 1188, 11341, 14988, 1186, 1158, 5871, 1315, 1199, 1197, 1111, 5984, 1300, 1281, 8052, 121, 4511, 3862, 1125, 10399, 6362, 488, 127, 119, 17450, 1172, 2086, 1189, 13397, 20581, 11535, 2519, 16229, 1188, 20311, 119, 12682, 185, 24824, 1167, 20615, 1125, 27992, 18252, 2620, 1158, 4875, 1125, 1306, 1178, 16080, 1995, 9346, 1288, 8295, 1382, 1909, 25717, 1317, 7883, 121, 1768, 15648, 6349, 27302, 11889, 1125, 18449, 25913, 1187, 1125, 1158, 3837, 1317, 6706, 2519, 7635, 1357, 1440, 1114, 1955, 1532, 1186, 2069, 3391, 1120, 25186, 106, 106, 5164, 1251, 1110, 1317, 3983, 4593, 21299, 1313, 1816, 3362, 3847, 106, 106, 158, 5540, 488, 126, 106, 106, 143, 1119, 10399, 6362, 488, 124, 119, 1197, 22840, 1374, 1281, 1508, 6143, 1562, 244, 1227, 6662, 1123, 1535, 1374, 1125, 9560, 5407, 1188, 6676, 2335, 7960, 18166, 2357, 1167, 2004, 4766, 1170, 8481, 1929, 1186, 1143, 191, 5533, 31899, 6200, 1167, 1306, 17453, 3233, 13488, 13495, 2567, 3365, 1288, 21180, 1158, 25109, 5941, 10399, 6362, 488, 126, 119, 1158, 11398, 11421, 488, 126, 1299, 3035, 1303, 1215, 2069, 6626, 1125, 1518, 25095, 1357, 1131, 1670, 1129, 1186, 4595, 1197, 8956, 1125, 1158, 25109, 5941, 1816, 6586, 1622, 2726, 1527, 3492, 2445, 30645, 1170, 17252, 1793, 7507, 3656, 1197, 1111, 5984, 1125, 1518, 1399, 1762, 1357, 2004, 10866, 1125, 18025, 1322, 3356, 2567, 3365, 2551, 15121, 2042, 1594, 5890, 18642, 121, 3762, 1170, 4755, 15956, 119, 1518, 25095, 2678, 1221, 1214, 1125, 2368, 7197, 1562, 244, 1125, 9560, 5407, 1469, 1189, 10972, 26554, 10502, 1125, 29286, 1702, 121, 31899, 6200, 1167, 1306, 17453, 3233, 1188, 1982, 3691, 1188, 1158, 5601, 1158, 1408, 8709, 1125, 2797, 1964, 9245, 121, 106, 106, 142, 1567, 6128, 6586, 12262, 4593, 15956, 119, 1856, 1207, 11468, 1457, 106, 106, 16519, 106, 106, 141, 1807, 197, 1762, 17450, 14201, 1167, 1518, 25095, 1508, 8449, 9829, 121, 9560, 5407, 1299, 17683, 28812, 4060, 1622, 1288, 11680, 1382, 1838, 2379, 1318, 18908, 1723, 31899, 6200, 1167, 1306, 17453, 488, 125, 14759, 11924, 1186, 488, 125, 123, 123, 127, 119, 11103, 1527, 2985, 1894, 1203, 3502, 1768, 4249, 11103, 1382, 5514, 4160, 1186, 6556, 1440, 1357, 1844, 1309, 1996, 1125, 5123, 1508, 9918, 1300, 1440, 5047, 121, 2499, 3093, 3458, 13330, 6917, 1300, 12027, 125, 121, 106, 106, 224, 24279, 29508, 106, 106, 2606, 5047, 11358, 1317, 3983, 3203, 15956, 13238, 4542, 18165, 1215, 1197, 14927, 10072, 5364, 1186, 5047, 121, 3559, 4235, 4992, 1679, 1170, 10952, 1188, 3203, 3419, 28263, 8501, 1256, 12334, 1659, 3233, 11203, 1187, 1186, 3151, 1318, 4726, 1125, 3586, 4517, 121, 106, 106, 8321, 4316, 106, 106, 20634, 1167, 6891, 106, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 1125, 4235, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 123, 126, 106, 5522, 192, 11063, 13436, 16599, 1336, 106, 5522, 192, 11063, 142, 4653, 106, 5522, 192, 9028, 23732, 488, 125, 106, 5522, 192, 8106, 106, 5522, 192, 25196, 106, 5522, 192, 6327, 15519, 1571, 9864, 106, 4650, 17005, 2519, 4726, 23170, 1186, 5047, 6327, 106, 5522, 192, 3621, 1488, 14529, 26833, 106, 5522, 192, 26344, 5806, 5802, 106, 5522, 192, 6327, 1281, 8866, 11953, 1313, 1207, 4092, 488, 124, 132, 130, 123, 114, 32001, 488, 106, 32000, 20036, 106, 2003, 2289, 6200, 1167, 1306, 17453, 1299, 1189, 5047, 6327, 9665, 1186, 488, 125, 123, 123, 126, 1300, 7090, 119, 9028, 23732, 488, 125, 1167, 25196, 121, 15518, 1186, 488, 125, 123, 123, 127, 1300, 11063, 142, 4653, 1167, 11063, 13436, 16599, 8602, 6053, 1189, 5047, 8286, 244, 2079, 18398, 1167, 1158, 4235, 121, 1768, 2856, 1125, 17105, 1158, 11398, 11421, 120, 126, 1362, 5610, 18234, 1227, 5047, 1667, 1186, 9771, 1199, 1207, 2680, 1885, 1128, 1297, 106, 106, 158, 20744, 1125, 5047, 106, 106, 146, 1538, 1356, 3608, 106, 106, 8134, 1606, 8411, 2240, 1524, 106, 106, 20363, 4334, 1125, 5047, 6739, 1382, 1304, 11900, 2671, 5068, 1548, 10952, 3233, 7407, 13885, 7916, 1197, 6620, 3967, 1188, 4759, 1158, 19110, 1186, 4040, 4658, 1835, 488, 125, 125, 10922, 3365, 1915, 4128, 1728, 3393, 1186, 1305, 2196, 1199, 1313, 1158, 9625, 121, 106, 106, 141, 1105, 1153, 106, 106, 1686, 13885, 1322, 1199, 1197, 10982, 28630, 1317, 1962, 1197, 21299, 1227, 5047, 11779, 1250, 1215, 5601, 1496, 1170, 10952, 1915, 11269, 1188, 1197, 14927, 1856, 1318, 7973, 119, 1197, 27095, 1158, 7585, 1227, 27335, 1207, 26556, 1227, 27335, 4892, 106, 106, 158, 31751, 106, 106, 158, 5540, 488, 124, 106, 106, 22507, 1170, 3151, 15956, 119, 31899, 6200, 1167, 1306, 17453, 1281, 4097, 1129, 15857, 13495, 1318, 3888, 4202, 4188, 1317, 3035, 4974, 1808, 2069, 7334, 2007, 1281, 11512, 1129, 6349, 1571, 1367, 6026, 1104, 1125, 1111, 1277, 1392, 1167, 1125, 17541, 1125, 22591, 1285, 1186, 6564, 1125, 15243, 2333, 1233, 1807, 6920, 1313, 1170, 4755, 15956, 121, 106, 106, 3562, 6586, 11550, 4593, 3391, 1120, 1259, 1346, 1188, 1158, 16730, 3664, 1470, 12372, 106, 106, 158, 5540, 488, 125, 106, 106, 4455, 22591, 24047, 1125, 20774, 22591, 1125, 1233, 1807, 6920, 15977, 27992, 1158, 4446, 6348, 3104, 1214, 7278, 1783, 119, 1189, 5962, 1134, 1374, 1357, 8135, 16254, 1120, 1313, 1197, 29199, 1430, 1115, 6559, 1457, 1768, 3492, 14867, 16866, 7278, 1783, 9033, 12682, 185, 1562, 2357, 2648, 17105, 1158, 4446, 7278, 1783, 1114, 2100, 1167, 5323, 1196, 1188, 11341, 14988, 1186, 1158, 5871, 1315, 1199, 1197, 1111, 1277, 1392, 1300, 1594, 8052, 121, 4511, 3862, 1125, 10399, 6362, 488, 127, 119, 17450, 1172, 2086, 1189, 13397, 20581, 11535, 2519, 16229, 1188, 20311, 119, 12682, 185, 24824, 1167, 20615, 1125, 27992, 18252, 2620, 1158, 4875, 1125, 1306, 1178, 16080, 1995, 9346, 1288, 8295, 1382, 1909, 30152, 1317, 7883, 121, 1768, 15648, 6349, 27302, 11889, 1125, 2368, 6118, 192, 1187, 1125, 1158, 3837, 1317, 6706, 2519, 7635, 1357, 1281, 1114, 1955, 1532, 1186, 2069, 3391, 1120, 25186, 106, 106, 5164, 1251, 1110, 1317, 3983, 4593, 21299, 1313, 1816, 3362, 3847, 106, 106, 158, 5540, 488, 126, 106, 106, 22507, 10399, 6362, 488, 124, 119, 1197, 22840, 2007, 1281, 1508, 6143, 1562, 1234, 1227, 6662, 1123, 1535, 1374, 1125, 9560, 5407, 1188, 6676, 2335, 7960, 18166, 2357, 1167, 2004, 4766, 1170, 8481, 1929, 1186, 1143, 191, 5533, 31899, 6200, 1167, 1306, 17453, 5524, 13488, 13495, 2567, 3365, 1288, 21180, 1158, 25109, 3762, 10399, 6362, 488, 126, 119, 1158, 11398, 11421, 488, 126, 1299, 3035, 1303, 1215, 2069, 6626, 1125, 1518, 25095, 1357, 1131, 1670, 1129, 1186, 4595, 1197, 15447, 1125, 1158, 25109, 3762, 1816, 6586, 1622, 3701, 1527, 3492, 2445, 11499, 1170, 17252, 1793, 7507, 3656, 1197, 1111, 1277, 1392, 1125, 1518, 1399, 1762, 1357, 2004, 10866, 1125, 18025, 1322, 4975, 2567, 3365, 2551, 15121, 2042, 1594, 5890, 18642, 121, 3762, 1170, 4755, 15956, 119, 1518, 25095, 2678, 1221, 1214, 1125, 2368, 7197, 13302, 1125, 9560, 5407, 1469, 1189, 10972, 12088, 8502, 10502, 1125, 29286, 1702, 1297, 31899, 6200, 1167, 1306, 17453, 5524, 1982, 3691, 1188, 1158, 5601, 1158, 1408, 8709, 1125, 2797, 1964, 9245, 121, 106, 106, 142, 1567, 6128, 6586, 12262, 4593, 3391, 1120, 1259, 1346, 1856, 1207, 11468, 1457, 106, 106, 16519, 106, 106, 141, 1807, 197, 1762, 17450, 14201, 1167, 1518, 25095, 1508, 8449, 9771, 4413, 9560, 5407, 1299, 17683, 28812, 4060, 1622, 1288, 11680, 1382, 1838, 2379, 1318, 18908, 1723, 31899, 6200, 1167, 1306, 17453, 488, 125, 14759, 11924, 1186, 488, 125, 123, 123, 127, 119, 11103, 1527, 2985, 1894, 1203, 3502, 1768, 4249, 11103, 1382, 5514, 4160, 1186, 6556, 1440, 1357, 1844, 1309, 1996, 1125, 7298, 1508, 2034, 1813, 1300, 1440, 5047, 121, 2499, 3093, 3458, 20842, 29006, 1300, 12027, 125, 121, 106, 106, 224, 187, 13456, 29508, 106, 106, 2606, 5047, 11358, 1317, 3983, 3203, 21299, 13238, 4542, 18165, 1215, 1197, 14927, 10072, 11244, 1186, 5047, 121, 3559, 4235, 4992, 1679, 1170, 10952, 1188, 3203, 2905, 11289, 1610, 8501, 1256, 12334, 1659, 5524, 11203, 1187, 1186, 3151, 1318, 4726, 1125, 3586, 4517, 1297, 106, 106, 8321, 4316, 106, 106, 20634, 1167, 5474, 106, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 1125, 4235, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 123, 126, 106, 5522, 192, 11063, 13436, 16599, 1336, 106, 5522, 192, 11063, 142, 4653, 106, 5522, 192, 9028, 23732, 488, 125, 106, 5522, 192, 8106, 106, 5522, 192, 25196, 106, 5522, 192, 6327, 15519, 1571, 9864, 106, 4650, 17005, 2519, 4726, 23170, 1186, 5047, 6327, 106, 5522, 192, 3621, 1488, 14529, 26833, 106, 5522, 192, 26344, 5806, 5802, 106, 5522, 192, 6327, 1281, 8866, 11953, 1313, 1207, 4092, 488, 124, 132, 130, 123, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2003, 2289, 6200, 1167, 1306, 17453, 1299, 1189, 5047, 6327, 9665, 1186, 488, 125, 123, 123, 126, 1300, 7090, 119, 9028, 23732, 488, 125, 1167, 25196, 121, 15518, 1186, 488, 125, 123, 123, 127, 1300, 11063, 142, 4653, 1167, 11063, 13436, 16599, 8602, 6053, 1189, 5047, 8286, 244, 2079, 18398, 1167, 1158, 4235, 121, 1768, 2856, 1125, 17105, 1158, 11398, 11421, 120, 126, 1362, 5610, 18234, 1227, 5047, 1667, 1186, 9771, 1199, 1207, 2680, 1885, 1128, 1297, 106, 106, 158, 20744, 1125, 5047, 106, 106, 146, 1538, 1356, 3608, 106, 106, 8134, 1606, 8411, 2240, 1524, 106, 106, 20363, 4334, 1125, 5047, 6739, 1382, 1304, 11900, 2671, 5068, 1548, 10952, 3233, 7407, 13885, 7916, 1197, 6620, 3967, 1188, 4759, 1158, 19110, 1186, 4040, 4658, 1835, 488, 125, 125, 10922, 3365, 1915, 4128, 1728, 3393, 1186, 1305, 2196, 1199, 1313, 1158, 9625, 121, 106, 106, 141, 1105, 1153, 106, 106, 1686, 13885, 1322, 1199, 1197, 10982, 28630, 1317, 1962, 1197, 21299, 1227, 5047, 11779, 1250, 1215, 5601, 1496, 1170, 10952, 1915, 11269, 1188, 1197, 14927, 1856, 1318, 7973, 119, 1197, 27095, 1158, 7585, 1227, 27335, 1207, 26556, 1227, 27335, 4892, 106, 106, 158, 31751, 106, 106, 158, 5540, 488, 124, 106, 106, 22507, 1170, 3151, 15956, 119, 31899, 6200, 1167, 1306, 17453, 1281, 4097, 1129, 15857, 13495, 1318, 3888, 4202, 4188, 1317, 3035, 4974, 1808, 2069, 7334, 2007, 1281, 11512, 1129, 6349, 1571, 1367, 6026, 1104, 1125, 1111, 1277, 1392, 1167, 1125, 17541, 1125, 22591, 1285, 1186, 6564, 1125, 15243, 2333, 1233, 1807, 6920, 1313, 1170, 4755, 15956, 121, 106, 106, 3562, 6586, 11550, 4593, 3391, 1120, 1259, 1346, 1188, 1158, 16730, 3664, 1470, 12372, 106, 106, 158, 5540, 488, 125, 106, 106, 4455, 22591, 24047, 1125, 20774, 22591, 1125, 1233, 1807, 6920, 15977, 27992, 1158, 4446, 6348, 3104, 1214, 7278, 1783, 119, 1189, 5962, 1134, 1374, 1357, 8135, 16254, 1120, 1313, 1197, 29199, 1430, 1115, 6559, 1457, 1768, 3492, 14867, 16866, 7278, 1783, 9033, 12682, 185, 1562, 2357, 2648, 17105, 1158, 4446, 7278, 1783, 1114, 2100, 1167, 5323, 1196, 1188, 11341, 14988, 1186, 1158, 5871, 1315, 1199, 1197, 1111, 1277, 1392, 1300, 1594, 8052, 121, 4511, 3862, 1125, 10399, 6362, 488, 127, 119, 17450, 1172, 2086, 1189, 13397, 20581, 11535, 2519, 16229, 1188, 20311, 119, 12682, 185, 24824, 1167, 20615, 1125, 27992, 18252, 2620, 1158, 4875, 1125, 1306, 1178, 16080, 1995, 9346, 1288, 8295, 1382, 1909, 30152, 1317, 7883, 121, 1768, 15648, 6349, 27302, 11889, 1125, 2368, 6118, 192, 1187, 1125, 1158, 3837, 1317, 6706, 2519, 7635, 1357, 1281, 1114, 1955, 1532, 1186, 2069, 3391, 1120, 25186, 106, 106, 5164, 1251, 1110, 1317, 3983, 4593, 21299, 1313, 1816, 3362, 3847, 106, 106, 158, 5540, 488, 126, 106, 106, 22507, 10399, 6362, 488, 124, 119, 1197, 22840, 2007, 1281, 1508, 6143, 1562, 1234, 1227, 6662, 1123, 1535, 1374, 1125, 9560, 5407, 1188, 6676, 2335, 7960, 18166, 2357, 1167, 2004, 4766, 1170, 8481, 1929, 1186, 1143, 191, 5533, 31899, 6200, 1167, 1306, 17453, 5524, 13488, 13495, 2567, 3365, 1288, 21180, 1158, 25109, 3762, 10399, 6362, 488, 126, 119, 1158, 11398, 11421, 488, 126, 1299, 3035, 1303, 1215, 2069, 6626, 1125, 1518, 25095, 1357, 1131, 1670, 1129, 1186, 4595, 1197, 15447, 1125, 1158, 25109, 3762, 1816, 6586, 1622, 3701, 1527, 3492, 2445, 11499, 1170, 17252, 1793, 7507, 3656, 1197, 1111, 1277, 1392, 1125, 1518, 1399, 1762, 1357, 2004, 10866, 1125, 18025, 1322, 4975, 2567, 3365, 2551, 15121, 2042, 1594, 5890, 18642, 121, 3762, 1170, 4755, 15956, 119, 1518, 25095, 2678, 1221, 1214, 1125, 2368, 7197, 13302, 1125, 9560, 5407, 1469, 1189, 10972, 12088, 8502, 10502, 1125, 29286, 1702, 1297, 31899, 6200, 1167, 1306, 17453, 5524, 1982, 3691, 1188, 1158, 5601, 1158, 1408, 8709, 1125, 2797, 1964, 9245, 121, 106, 106, 142, 1567, 6128, 6586, 12262, 4593, 3391, 1120, 1259, 1346, 1856, 1207, 11468, 1457, 106, 106, 16519, 106, 106, 141, 1807, 197, 1762, 17450, 14201, 1167, 1518, 25095, 1508, 8449, 9771, 4413, 9560, 5407, 1299, 17683, 28812, 4060, 1622, 1288, 11680, 1382, 1838, 2379, 1318, 18908, 1723, 31899, 6200, 1167, 1306, 17453, 488, 125, 14759, 11924, 1186, 488, 125, 123, 123, 127, 119, 11103, 1527, 2985, 1894, 1203, 3502, 1768, 4249, 11103, 1382, 5514, 4160, 1186, 6556, 1440, 1357, 1844, 1309, 1996, 1125, 7298, 1508, 2034, 1813, 1300, 1440, 5047, 121, 2499, 3093, 3458, 20842, 29006, 1300, 12027, 125, 121, 106, 106, 224, 187, 13456, 29508, 106, 106, 2606, 5047, 11358, 1317, 3983, 3203, 21299, 13238, 4542, 18165, 1215, 1197, 14927, 10072, 11244, 1186, 5047, 121, 3559, 4235, 4992, 1679, 1170, 10952, 1188, 3203, 2905, 11289, 1610, 8501, 1256, 12334, 1659, 5524, 11203, 1187, 1186, 3151, 1318, 4726, 1125, 3586, 4517, 1297, 106, 106, 8321, 4316, 106, 106, 20634, 1167, 5474, 106, 106, 5522, 192, 26738, 106, 5522, 192, 6327, 1125, 4235, 106, 5522, 192, 6327, 9665, 1186, 488, 125, 123, 123, 126, 106, 5522, 192, 11063, 13436, 16599, 1336, 106, 5522, 192, 11063, 142, 4653, 106, 5522, 192, 9028, 23732, 488, 125, 106, 5522, 192, 8106, 106, 5522, 192, 25196, 106, 5522, 192, 6327, 15519, 1571, 9864, 106, 4650, 17005, 2519, 4726, 23170, 1186, 5047, 6327, 106, 5522, 192, 3621, 1488, 14529, 26833, 106, 5522, 192, 26344, 5806, 5802, 106, 5522, 192, 6327, 1281, 8866, 11953, 1313, 1207, 4092, 488, 124, 132, 130, 123, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 154, 1315, 1724, 1299, 1189, 7130, 1197, 24884, 8446, 1313, 1170, 21836, 1125, 2769, 8117, 1317, 27757, 4537, 6280, 5740, 3031, 1125, 488, 131, 131, 125, 3403, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 146, 22857, 488, 106, 25280, 6305, 1170, 4909, 6716, 1165, 18461, 15350, 119, 1158, 3837, 1110, 1318, 6300, 12808, 1125, 488, 125, 124, 123, 119, 131, 7275, 125, 1175, 131, 124, 119, 127, 6534, 125, 1496, 2487, 1158, 21781, 3440, 1190, 1902, 1299, 30647, 1125, 1794, 14279, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 123, 119, 1527, 1251, 3618, 488, 131, 131, 125, 23771, 488, 126, 127, 132, 12975, 6523, 1167, 488, 125, 128, 128, 13086, 17355, 1199, 1313, 1158, 25109, 1643, 28245, 1125, 1158, 5740, 3031, 1125, 488, 127, 119, 125, 10743, 7096, 12624, 125, 1175, 124, 123, 119, 131, 122, 3679, 125, 1576, 106, 106, 15531, 1207, 488, 126, 127, 132, 12975, 6523, 488, 126, 125, 119, 130, 2199, 2004, 1189, 8751, 1125, 2864, 1125, 488, 124, 131, 5305, 488, 128, 132, 119, 132, 2199, 1508, 1197, 20972, 6371, 3392, 488, 131, 119, 126, 2199, 14255, 1382, 1125, 6371, 2595, 119, 1167, 488, 125, 129, 119, 132, 2199, 1288, 1508, 1382, 1197, 2279, 1292, 1457, 488, 125, 124, 119, 131, 2199, 1125, 2008, 12975, 1741, 1508, 3647, 1234, 2519, 5860, 27163, 2487, 488, 124, 125, 119, 129, 2199, 2519, 3888, 1125, 488, 129, 128, 2165, 1362, 18962, 106, 106, 6880, 9666, 5372, 1125, 1158, 5740, 1299, 1125, 488, 126, 132, 8793, 2616, 488, 124, 123, 123, 23866, 1527, 1251, 1110, 488, 132, 132, 119, 128, 12464, 1457, 2616, 488, 124, 123, 123, 5247, 1125, 488, 124, 131, 2165, 1362, 6698, 1527, 1251, 1110, 488, 124, 123, 123, 119, 123, 12464, 1457, 106, 106, 2606, 14376, 5372, 2335, 12975, 1272, 1299, 1125, 1631, 125, 132, 488, 128, 127, 128, 119, 1167, 3977, 2519, 4446, 1125, 1631, 126, 124, 488, 129, 125, 128, 121, 1808, 6626, 2004, 1189, 14376, 5372, 1125, 1631, 126, 123, 488, 124, 125, 128, 2714, 1631, 125, 123, 488, 127, 129, 132, 1256, 1207, 2820, 14385, 1548, 14376, 5372, 1215, 6425, 1299, 1125, 1631, 124, 126, 488, 129, 129, 127, 121, 2769, 1467, 1125, 488, 124, 125, 119, 125, 2199, 1197, 13086, 1167, 488, 124, 127, 119, 129, 2199, 1125, 1158, 5740, 23236, 1186, 17563, 1227, 25555, 1125, 28936, 16438, 2487, 488, 125, 124, 119, 131, 2199, 1125, 4142, 1125, 2864, 1125, 488, 124, 131, 2165, 1167, 488, 124, 125, 119, 127, 2199, 1125, 4142, 1125, 488, 129, 128, 2165, 1167, 18962, 106, 106, 2330, 2558, 13407, 1170, 4755, 11614, 1125, 31540, 1110, 3601, 1188, 1350, 1315, 1724, 1170, 9461, 1227, 13792, 1109, 1125, 7519, 121, 106, 106, 10853, 488, 106, 106, 159, 1782, 1317, 27757, 1109, 106, 2700, 1389, 1125, 22716, 32001, 488, 106, 32000, 20036, 106, 114, 154, 1315, 1724, 1299, 1189, 7130, 1197, 24884, 8446, 1313, 1170, 21836, 1125, 2769, 8117, 1317, 27757, 4537, 6280, 5740, 3031, 1125, 488, 131, 131, 125, 3403, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 146, 22857, 488, 106, 25280, 6305, 1170, 4909, 6716, 1165, 18461, 15350, 119, 1158, 3837, 1110, 1318, 6300, 12808, 1125, 488, 125, 124, 123, 119, 131, 7275, 125, 1175, 131, 124, 119, 127, 6534, 125, 1496, 2487, 1158, 21781, 3440, 1190, 1902, 1508, 1197, 1794, 14279, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 123, 119, 1527, 1251, 3618, 488, 131, 131, 125, 23771, 488, 126, 127, 132, 12975, 6523, 1167, 488, 125, 128, 128, 13086, 2022, 7256, 1313, 1158, 25109, 1643, 28245, 1125, 1158, 5740, 3031, 1125, 488, 127, 119, 125, 10743, 7096, 12624, 125, 1175, 124, 123, 121, 131, 122, 3679, 125, 1576, 106, 106, 15531, 1207, 488, 126, 127, 132, 12975, 6523, 488, 126, 125, 119, 130, 2199, 2004, 1189, 8751, 1125, 2864, 1125, 488, 124, 131, 5305, 488, 128, 132, 119, 132, 2199, 1508, 1197, 20972, 6371, 3392, 488, 131, 119, 126, 2199, 14255, 1382, 1125, 1557, 1120, 2595, 1285, 1167, 488, 125, 129, 119, 132, 2199, 1288, 1508, 1382, 1197, 2279, 1292, 1457, 488, 125, 124, 119, 131, 2199, 1125, 2008, 12975, 1741, 1508, 11931, 2519, 5860, 27163, 2487, 488, 124, 125, 119, 129, 2199, 2519, 3888, 1125, 488, 129, 128, 2165, 1362, 18962, 106, 106, 6880, 9666, 5372, 1125, 1158, 5740, 1299, 1125, 488, 126, 132, 8793, 2616, 488, 124, 123, 123, 5247, 1527, 1251, 488, 488, 132, 132, 119, 128, 12464, 1457, 2616, 488, 124, 123, 123, 5247, 1125, 488, 124, 131, 2165, 1362, 6698, 1527, 1251, 1110, 488, 124, 123, 123, 119, 123, 12464, 1457, 106, 106, 2606, 14376, 5372, 2335, 12975, 1272, 1299, 1125, 1631, 125, 132, 488, 128, 127, 128, 119, 1167, 3977, 2519, 4446, 1125, 1631, 126, 124, 488, 129, 125, 128, 121, 1808, 6626, 2004, 1189, 14376, 5372, 1125, 1631, 126, 123, 488, 124, 125, 128, 2714, 1631, 125, 123, 488, 127, 129, 132, 1256, 1207, 2820, 14385, 1548, 14376, 5372, 1215, 6425, 1299, 1125, 1631, 124, 126, 488, 129, 129, 127, 121, 2769, 1467, 1125, 488, 124, 125, 119, 125, 2199, 1197, 13086, 1167, 488, 124, 127, 119, 129, 2199, 1125, 1158, 5740, 23236, 1186, 17563, 1227, 25555, 1125, 28936, 16438, 2487, 488, 125, 124, 119, 131, 2199, 1125, 4142, 1186, 17563, 1125, 488, 124, 131, 2165, 1167, 488, 124, 125, 119, 127, 2199, 1125, 4142, 1125, 488, 129, 128, 2165, 1167, 18962, 106, 106, 2330, 2558, 13407, 1170, 4755, 11614, 1125, 31540, 1110, 3601, 1188, 1350, 1315, 1724, 1170, 9461, 1227, 13792, 1109, 1125, 7519, 121, 106, 106, 10853, 488, 106, 106, 159, 1782, 1317, 27757, 1109, 106, 2700, 1389, 1125, 22716, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 154, 1315, 1724, 1299, 1189, 7130, 1197, 24884, 8446, 1313, 1170, 21836, 1125, 2769, 8117, 1317, 27757, 4537, 6280, 5740, 3031, 1125, 488, 131, 131, 125, 3403, 1186, 488, 125, 123, 123, 123, 121, 106, 106, 146, 22857, 488, 106, 25280, 6305, 1170, 4909, 6716, 1165, 18461, 15350, 119, 1158, 3837, 1110, 1318, 6300, 12808, 1125, 488, 125, 124, 123, 119, 131, 7275, 125, 1175, 131, 124, 119, 127, 6534, 125, 1496, 2487, 1158, 21781, 3440, 1190, 1902, 1508, 1197, 1794, 14279, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 123, 119, 1527, 1251, 3618, 488, 131, 131, 125, 23771, 488, 126, 127, 132, 12975, 6523, 1167, 488, 125, 128, 128, 13086, 2022, 7256, 1313, 1158, 25109, 1643, 28245, 1125, 1158, 5740, 3031, 1125, 488, 127, 119, 125, 10743, 7096, 12624, 125, 1175, 124, 123, 121, 131, 122, 3679, 125, 1576, 106, 106, 15531, 1207, 488, 126, 127, 132, 12975, 6523, 488, 126, 125, 119, 130, 2199, 2004, 1189, 8751, 1125, 2864, 1125, 488, 124, 131, 5305, 488, 128, 132, 119, 132, 2199, 1508, 1197, 20972, 6371, 3392, 488, 131, 119, 126, 2199, 14255, 1382, 1125, 1557, 1120, 2595, 1285, 1167, 488, 125, 129, 119, 132, 2199, 1288, 1508, 1382, 1197, 2279, 1292, 1457, 488, 125, 124, 119, 131, 2199, 1125, 2008, 12975, 1741, 1508, 11931, 2519, 5860, 27163, 2487, 488, 124, 125, 119, 129, 2199, 2519, 3888, 1125, 488, 129, 128, 2165, 1362, 18962, 106, 106, 6880, 9666, 5372, 1125, 1158, 5740, 1299, 1125, 488, 126, 132, 8793, 2616, 488, 124, 123, 123, 5247, 1527, 1251, 488, 488, 132, 132, 119, 128, 12464, 1457, 2616, 488, 124, 123, 123, 5247, 1125, 488, 124, 131, 2165, 1362, 6698, 1527, 1251, 1110, 488, 124, 123, 123, 119, 123, 12464, 1457, 106, 106, 2606, 14376, 5372, 2335, 12975, 1272, 1299, 1125, 1631, 125, 132, 488, 128, 127, 128, 119, 1167, 3977, 2519, 4446, 1125, 1631, 126, 124, 488, 129, 125, 128, 121, 1808, 6626, 2004, 1189, 14376, 5372, 1125, 1631, 126, 123, 488, 124, 125, 128, 2714, 1631, 125, 123, 488, 127, 129, 132, 1256, 1207, 2820, 14385, 1548, 14376, 5372, 1215, 6425, 1299, 1125, 1631, 124, 126, 488, 129, 129, 127, 121, 2769, 1467, 1125, 488, 124, 125, 119, 125, 2199, 1197, 13086, 1167, 488, 124, 127, 119, 129, 2199, 1125, 1158, 5740, 23236, 1186, 17563, 1227, 25555, 1125, 28936, 16438, 2487, 488, 125, 124, 119, 131, 2199, 1125, 4142, 1186, 17563, 1125, 488, 124, 131, 2165, 1167, 488, 124, 125, 119, 127, 2199, 1125, 4142, 1125, 488, 129, 128, 2165, 1167, 18962, 106, 106, 2330, 2558, 13407, 1170, 4755, 11614, 1125, 31540, 1110, 3601, 1188, 1350, 1315, 1724, 1170, 9461, 1227, 13792, 1109, 1125, 7519, 121, 106, 106, 10853, 488, 106, 106, 159, 1782, 1317, 27757, 1109, 106, 2700, 1389, 1125, 22716, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 14232, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 1299, 1189, 22098, 12001, 1455, 9030, 1109, 12001, 2447, 2038, 1167, 13787, 1125, 7585, 13753, 17779, 8515, 11431, 106, 106, 141, 11741, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 5252, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 30816, 1561, 3968, 24885, 1571, 5416, 8507, 1125, 28971, 15167, 1167, 1125, 11174, 1372, 189, 1452, 186, 14481, 27268, 1175, 20270, 1496, 29994, 1527, 5016, 7628, 13825, 2357, 2648, 1281, 20591, 1245, 1256, 1170, 19652, 1469, 11916, 2504, 27157, 1124, 4436, 1167, 1256, 1271, 2601, 1277, 1469, 3699, 15236, 1118, 1167, 30541, 6271, 4444, 1190, 1117, 121, 106, 106, 5164, 18900, 1170, 488, 124, 1107, 3248, 1227, 10058, 3781, 1125, 19652, 1125, 24732, 1896, 172, 4289, 1342, 1438, 1496, 1527, 1299, 1158, 12228, 1128, 1227, 10058, 3781, 1283, 2601, 1277, 1125, 3550, 1366, 1167, 1227, 10058, 1283, 2601, 1277, 4578, 18651, 1783, 1321, 1569, 1383, 1252, 1150, 1620, 2104, 488, 124, 132, 132, 128, 1175, 8257, 31787, 2247, 9891, 116, 1125, 22480, 1847, 5867, 1172, 197, 7497, 116, 1939, 106, 106, 5164, 1281, 2513, 1186, 10034, 2620, 6556, 1173, 1660, 5650, 3698, 19005, 119, 1645, 14691, 2944, 9282, 1384, 1965, 26274, 119, 7311, 1134, 2620, 10665, 11438, 13366, 20048, 1202, 1737, 6664, 9671, 3725, 4444, 15613, 119, 14345, 11438, 8903, 2620, 3261, 1234, 11127, 30393, 24887, 488, 124, 132, 132, 128, 119, 1527, 10809, 1317, 9912, 4578, 1125, 16888, 2012, 10355, 13944, 3441, 9206, 3551, 1334, 4048, 1300, 1271, 2601, 1277, 10777, 3699, 7480, 190, 7257, 3122, 185, 1379, 1188, 5999, 1455, 1342, 2007, 1125, 488, 124, 130, 130, 125, 121, 1768, 10809, 2445, 1317, 9912, 4578, 1283, 2601, 1277, 1173, 1567, 1650, 10118, 7701, 186, 1125, 19855, 1300, 1207, 4914, 1813, 9412, 1620, 12505, 1125, 1918, 184, 1118, 4688, 1167, 1165, 4424, 18661, 120, 3272, 1125, 23625, 1167, 1317, 9912, 1125, 30019, 1326, 13076, 14127, 2442, 12973, 2801, 6229, 1534, 23612, 1167, 3281, 7480, 1502, 2291, 1576, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1299, 13787, 12456, 1317, 5416, 4371, 6507, 1156, 1706, 186, 1918, 8013, 186, 1125, 14481, 1439, 2442, 1309, 8328, 16051, 1227, 9912, 4578, 1918, 20694, 10118, 7701, 186, 1125, 1561, 3837, 23082, 1366, 3550, 5907, 106, 106, 22525, 4134, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1110, 1189, 22139, 2604, 244, 1167, 1527, 1110, 14577, 3747, 10600, 1513, 1485, 1188, 1282, 2601, 9598, 106, 106, 2576, 2601, 1277, 25532, 6526, 4379, 2178, 1117, 1125, 22938, 6284, 6293, 4384, 1125, 1352, 27529, 2172, 17499, 1345, 1257, 1252, 1312, 174, 3667, 1331, 119, 8580, 1203, 1810, 5191, 1468, 8910, 22421, 1174, 2086, 1202, 2683, 4042, 2433, 2941, 1124, 10594, 17618, 7494, 5711, 2433, 28446, 1175, 125, 123, 123, 123, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 22646, 172, 1352, 1168, 1210, 4741, 10161, 172, 9760, 185, 1575, 1466, 2447, 186, 1175, 125, 123, 123, 127, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 1352, 6210, 1331, 119, 7100, 1494, 1180, 1256, 4914, 1277, 1248, 161, 488, 128, 127, 124, 119, 488, 128, 127, 125, 119, 488, 128, 131, 127, 1323, 1918, 1681, 1107, 10205, 1293, 2323, 9177, 1167, 9412, 193, 2504, 29478, 1681, 2982, 4914, 1813, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 4861, 6533, 21216, 1125, 180, 1772, 1662, 1125, 14481, 1439, 2040, 5440, 2240, 184, 1575, 2172, 6284, 1248, 3770, 2086, 1106, 11456, 30541, 6271, 1252, 16099, 1175, 124, 128, 120, 119, 25185, 3533, 1662, 1153, 1637, 8058, 1208, 1153, 2986, 106, 6760, 1331, 119, 1173, 7145, 7138, 1466, 2447, 186, 1110, 1179, 2251, 1150, 1618, 180, 1323, 9412, 193, 2504, 29478, 1681, 1109, 1167, 22279, 5245, 1209, 1783, 1488, 1810, 4914, 1277, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 2172, 8830, 2288, 172, 1125, 2358, 1298, 1336, 1175, 119, 1198, 1551, 1153, 116, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 7649, 9229, 106, 106, 153, 3400, 1188, 3550, 1366, 106, 155, 2323, 2038, 13753, 17779, 106, 15481, 2038, 13753, 17779, 106, 27938, 9892, 1125, 7585, 106, 155, 1740, 8992, 1277, 17779, 114, 32001, 488, 106, 32000, 20036, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 5252, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 1299, 1189, 22098, 12001, 1455, 9030, 1109, 12001, 2447, 2038, 1167, 13787, 1125, 7585, 13753, 17779, 8515, 11431, 106, 106, 141, 11741, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 5252, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 30816, 1561, 3968, 24885, 1571, 5416, 8507, 1125, 28971, 15167, 1167, 1125, 11174, 1372, 189, 1452, 186, 14481, 27268, 1175, 20270, 1496, 29994, 1527, 5016, 7628, 13825, 2357, 2648, 1281, 20591, 1245, 1256, 1170, 19652, 1469, 11916, 2504, 27157, 1124, 4436, 1167, 1256, 1271, 2601, 1277, 1469, 3699, 15236, 1118, 1167, 30541, 6271, 4444, 1190, 1117, 121, 106, 106, 5164, 18900, 1170, 488, 124, 1107, 3248, 1227, 10058, 3781, 1125, 19652, 1125, 24732, 1896, 172, 4289, 1342, 1438, 1496, 1527, 1299, 1158, 12228, 1128, 1227, 10058, 3781, 1283, 2601, 1277, 1125, 3550, 1366, 1167, 1227, 10058, 1283, 2601, 1277, 4578, 18651, 1783, 1321, 1569, 1383, 1252, 1150, 1620, 2104, 488, 124, 132, 132, 128, 1175, 8257, 31787, 2247, 9891, 116, 1125, 22480, 1847, 5867, 1172, 197, 7497, 116, 1939, 106, 106, 5164, 1281, 2513, 1186, 10034, 2620, 6556, 1173, 1660, 5650, 3698, 19005, 119, 1645, 14691, 2944, 9282, 1384, 1965, 26274, 119, 7311, 1134, 2620, 10665, 11438, 13366, 20048, 1202, 1737, 6664, 9671, 3725, 4444, 15613, 119, 14345, 11438, 8903, 2620, 3261, 1234, 11127, 30393, 24887, 488, 124, 132, 132, 128, 119, 1527, 10809, 1317, 9912, 4578, 1125, 16888, 2012, 10355, 13944, 3441, 9206, 3551, 1334, 4048, 1300, 1271, 2601, 1277, 10777, 3699, 7480, 190, 7257, 3122, 185, 1379, 1188, 5999, 1455, 1342, 2007, 1125, 488, 124, 130, 130, 125, 121, 1768, 10809, 2445, 1317, 9912, 4578, 1283, 2601, 1277, 1173, 1567, 1650, 10118, 7701, 186, 1125, 19855, 1300, 1207, 4914, 1813, 9412, 1620, 12505, 1125, 1918, 184, 1118, 4688, 1167, 1165, 4424, 18661, 120, 3272, 1125, 23625, 1167, 1317, 9912, 1125, 30019, 1326, 13076, 14127, 2442, 12973, 2801, 6229, 1534, 23612, 1167, 3281, 7480, 1502, 2291, 1576, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1299, 13787, 12456, 1317, 5416, 4371, 6507, 1156, 1706, 186, 1918, 8013, 186, 1125, 14481, 1439, 2442, 1309, 8328, 16051, 1227, 9912, 4578, 1918, 20694, 10118, 7701, 186, 1125, 1561, 3837, 23082, 1366, 3550, 5907, 106, 106, 22525, 4134, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1110, 1189, 22139, 2604, 244, 1167, 1527, 1110, 14577, 3747, 10600, 1513, 1485, 1188, 1282, 2601, 9598, 106, 106, 2576, 2601, 1277, 25532, 6526, 4379, 2178, 1117, 1125, 22938, 6284, 6293, 4384, 1125, 1352, 27529, 2172, 17499, 1345, 1257, 1252, 1312, 174, 3667, 1331, 119, 8580, 1203, 1810, 5191, 1468, 8910, 22421, 1174, 2086, 1202, 2683, 4042, 2433, 2941, 1124, 10594, 17618, 7494, 5711, 2433, 28446, 1175, 125, 123, 123, 123, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 22646, 172, 1352, 1168, 1210, 4741, 10161, 172, 9760, 185, 1575, 1466, 2447, 186, 1175, 125, 123, 123, 127, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 1352, 6210, 1331, 119, 7100, 1494, 1180, 1256, 4914, 1277, 1248, 161, 488, 128, 127, 124, 119, 488, 128, 127, 125, 119, 488, 128, 131, 127, 1323, 1918, 1681, 1107, 10205, 1293, 2323, 9177, 1167, 9412, 193, 2504, 29478, 1681, 2982, 4914, 1813, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 4861, 6533, 21216, 1125, 180, 1772, 1662, 1125, 14481, 1439, 2040, 5440, 2240, 184, 1575, 2172, 6284, 1248, 3770, 2086, 1106, 11456, 30541, 6271, 1252, 16099, 1175, 124, 128, 120, 119, 25185, 3533, 1662, 1153, 1637, 8058, 1208, 1153, 2986, 106, 6760, 1331, 119, 1173, 7145, 7138, 1466, 2447, 186, 1110, 1179, 2251, 1150, 1618, 180, 1323, 9412, 193, 2504, 29478, 1681, 1109, 1167, 22279, 5245, 1209, 1783, 1488, 1810, 4914, 1277, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 2172, 8830, 2288, 172, 1125, 2358, 1298, 1336, 1175, 119, 1198, 1551, 1153, 116, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 7649, 9229, 106, 106, 153, 3400, 1188, 3550, 1366, 106, 155, 2323, 2038, 13753, 17779, 106, 15481, 2038, 13753, 17779, 106, 27938, 9892, 1125, 7585, 106, 155, 1740, 8992, 1277, 17779, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 5252, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 1299, 1189, 22098, 12001, 1455, 9030, 1109, 12001, 2447, 2038, 1167, 13787, 1125, 7585, 13753, 17779, 8515, 11431, 106, 106, 141, 11741, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 2982, 5252, 1188, 3550, 1366, 9116, 1108, 1439, 1496, 30816, 1561, 3968, 24885, 1571, 5416, 8507, 1125, 28971, 15167, 1167, 1125, 11174, 1372, 189, 1452, 186, 14481, 27268, 1175, 20270, 1496, 29994, 1527, 5016, 7628, 13825, 2357, 2648, 1281, 20591, 1245, 1256, 1170, 19652, 1469, 11916, 2504, 27157, 1124, 4436, 1167, 1256, 1271, 2601, 1277, 1469, 3699, 15236, 1118, 1167, 30541, 6271, 4444, 1190, 1117, 121, 106, 106, 5164, 18900, 1170, 488, 124, 1107, 3248, 1227, 10058, 3781, 1125, 19652, 1125, 24732, 1896, 172, 4289, 1342, 1438, 1496, 1527, 1299, 1158, 12228, 1128, 1227, 10058, 3781, 1283, 2601, 1277, 1125, 3550, 1366, 1167, 1227, 10058, 1283, 2601, 1277, 4578, 18651, 1783, 1321, 1569, 1383, 1252, 1150, 1620, 2104, 488, 124, 132, 132, 128, 1175, 8257, 31787, 2247, 9891, 116, 1125, 22480, 1847, 5867, 1172, 197, 7497, 116, 1939, 106, 106, 5164, 1281, 2513, 1186, 10034, 2620, 6556, 1173, 1660, 5650, 3698, 19005, 119, 1645, 14691, 2944, 9282, 1384, 1965, 26274, 119, 7311, 1134, 2620, 10665, 11438, 13366, 20048, 1202, 1737, 6664, 9671, 3725, 4444, 15613, 119, 14345, 11438, 8903, 2620, 3261, 1234, 11127, 30393, 24887, 488, 124, 132, 132, 128, 119, 1527, 10809, 1317, 9912, 4578, 1125, 16888, 2012, 10355, 13944, 3441, 9206, 3551, 1334, 4048, 1300, 1271, 2601, 1277, 10777, 3699, 7480, 190, 7257, 3122, 185, 1379, 1188, 5999, 1455, 1342, 2007, 1125, 488, 124, 130, 130, 125, 121, 1768, 10809, 2445, 1317, 9912, 4578, 1283, 2601, 1277, 1173, 1567, 1650, 10118, 7701, 186, 1125, 19855, 1300, 1207, 4914, 1813, 9412, 1620, 12505, 1125, 1918, 184, 1118, 4688, 1167, 1165, 4424, 18661, 120, 3272, 1125, 23625, 1167, 1317, 9912, 1125, 30019, 1326, 13076, 14127, 2442, 12973, 2801, 6229, 1534, 23612, 1167, 3281, 7480, 1502, 2291, 1576, 106, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1299, 13787, 12456, 1317, 5416, 4371, 6507, 1156, 1706, 186, 1918, 8013, 186, 1125, 14481, 1439, 2442, 1309, 8328, 16051, 1227, 9912, 4578, 1918, 20694, 10118, 7701, 186, 1125, 1561, 3837, 23082, 1366, 3550, 5907, 106, 106, 22525, 4134, 106, 158, 1142, 193, 2504, 29478, 1681, 1109, 1110, 1189, 22139, 2604, 244, 1167, 1527, 1110, 14577, 3747, 10600, 1513, 1485, 1188, 1282, 2601, 9598, 106, 106, 2576, 2601, 1277, 25532, 6526, 4379, 2178, 1117, 1125, 22938, 6284, 6293, 4384, 1125, 1352, 27529, 2172, 17499, 1345, 1257, 1252, 1312, 174, 3667, 1331, 119, 8580, 1203, 1810, 5191, 1468, 8910, 22421, 1174, 2086, 1202, 2683, 4042, 2433, 2941, 1124, 10594, 17618, 7494, 5711, 2433, 28446, 1175, 125, 123, 123, 123, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 22646, 172, 1352, 1168, 1210, 4741, 10161, 172, 9760, 185, 1575, 1466, 2447, 186, 1175, 125, 123, 123, 127, 119, 1643, 1233, 7416, 6110, 9222, 24959, 7972, 106, 1352, 6210, 1331, 119, 7100, 1494, 1180, 1256, 4914, 1277, 1248, 161, 488, 128, 127, 124, 119, 488, 128, 127, 125, 119, 488, 128, 131, 127, 1323, 1918, 1681, 1107, 10205, 1293, 2323, 9177, 1167, 9412, 193, 2504, 29478, 1681, 2982, 4914, 1813, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 4861, 6533, 21216, 1125, 180, 1772, 1662, 1125, 14481, 1439, 2040, 5440, 2240, 184, 1575, 2172, 6284, 1248, 3770, 2086, 1106, 11456, 30541, 6271, 1252, 16099, 1175, 124, 128, 120, 119, 25185, 3533, 1662, 1153, 1637, 8058, 1208, 1153, 2986, 106, 6760, 1331, 119, 1173, 7145, 7138, 1466, 2447, 186, 1110, 1179, 2251, 1150, 1618, 180, 1323, 9412, 193, 2504, 29478, 1681, 1109, 1167, 22279, 5245, 1209, 1783, 1488, 1810, 4914, 1277, 1125, 1158, 2306, 1142, 1460, 16608, 16871, 2172, 8830, 2288, 172, 1125, 2358, 1298, 1336, 1175, 119, 1198, 1551, 1153, 116, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 7649, 9229, 106, 106, 153, 3400, 1188, 3550, 1366, 106, 155, 2323, 2038, 13753, 17779, 106, 15481, 2038, 13753, 17779, 106, 27938, 9892, 1125, 7585, 106, 155, 1740, 8992, 1277, 17779, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 153, 12959, 1313, 1207, 3577, 21976, 180, 1299, 1189, 21143, 15173, 1338, 1132, 1493, 244, 1186, 488, 124, 132, 132, 128, 1215, 1170, 19383, 1167, 29542, 7962, 3589, 1289, 1593, 18325, 24187, 1233, 1142, 2357, 31125, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 124, 1300, 1158, 13168, 14124, 1113, 1670, 9665, 1317, 9452, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 1686, 1215, 8249, 3476, 24187, 1233, 23296, 1110, 2445, 5617, 1189, 17299, 2515, 1119, 1170, 2076, 23527, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 158, 31751, 106, 106, 3562, 1275, 1715, 1162, 1197, 1266, 12959, 1313, 1207, 27045, 1125, 14901, 24497, 1120, 1299, 1189, 1844, 2864, 2034, 7258, 2616, 1197, 8852, 2604, 1473, 1175, 7743, 1267, 4886, 25565, 1701, 1362, 15670, 1125, 27690, 1328, 13673, 1154, 4505, 1496, 1125, 5087, 6461, 18605, 1645, 2952, 1298, 1362, 4458, 1150, 4379, 184, 4076, 1925, 2004, 9918, 16135, 2160, 1197, 3577, 1285, 1188, 1222, 1519, 7011, 1204, 1511, 16965, 1108, 1362, 1192, 1153, 1210, 3061, 5520, 2585, 3342, 6096, 1158, 22567, 6111, 1255, 2993, 1430, 13424, 1457, 3190, 28055, 1125, 19878, 4886, 13056, 1120, 1186, 14345, 11438, 1186, 8996, 3725, 1186, 10665, 11438, 1186, 2315, 1167, 1317, 12440, 1603, 2726, 20659, 1186, 9537, 1440, 8989, 2004, 21571, 1167, 25414, 22107, 1188, 2962, 2008, 17552, 1346, 1313, 1170, 4154, 1227, 29586, 2694, 2247, 19371, 1125, 1158, 26053, 1197, 27045, 24497, 5068, 106, 106, 145, 3352, 4403, 488, 106, 5294, 4521, 1257, 24187, 1233, 23296, 106, 20357, 1257, 4020, 180, 2850, 106, 4304, 1272, 1257, 1202, 2852, 1222, 29589, 1167, 1248, 5836, 1214, 6410, 22064, 7901, 106, 10272, 4134, 1257, 19310, 1306, 3794, 10759, 10626, 4748, 25337, 15260, 1208, 4353, 5371, 1269, 1173, 1762, 1306, 2334, 1149, 24548, 1140, 1167, 5950, 24509, 1117, 106, 19210, 1257, 24187, 1233, 23296, 106, 7676, 1125, 6847, 1257, 3225, 1943, 172, 29492, 5587, 189, 3655, 18392, 116, 106, 9299, 14994, 1257, 2315, 488, 106, 9313, 1277, 17482, 1257, 2720, 106, 24178, 1257, 7099, 1323, 488, 126, 128, 8680, 106, 25694, 1257, 488, 128, 125, 4826, 106, 1222, 2026, 1125, 8969, 1257, 106, 2315, 1257, 488, 125, 123, 123, 124, 5007, 23945, 1188, 1158, 14022, 3628, 488, 125, 123, 123, 128, 7216, 18392, 116, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 106, 145, 6417, 2720, 9665, 1186, 488, 125, 123, 123, 128, 106, 145, 6417, 21143, 2720, 106, 152, 12920, 4972, 3074, 2720, 106, 152, 12920, 4972, 3074, 21143, 106, 145, 6417, 21143, 1300, 1158, 22925, 12507, 10999, 106, 106, 145, 6417, 21143, 1300, 1158, 23008, 106, 157, 1183, 2923, 4690, 3243, 1445, 1186, 14345, 2288, 114, 32001, 488, 106, 32000, 20036, 106, 153, 12959, 1313, 1207, 27045, 24497, 1120, 1299, 1189, 21143, 15173, 8922, 1186, 488, 124, 132, 132, 128, 1215, 1170, 19383, 1167, 29542, 7962, 3589, 1289, 1593, 18325, 24187, 1233, 1142, 2357, 31125, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 124, 1300, 1158, 13168, 14124, 2648, 9665, 1317, 9452, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 1686, 17713, 25891, 24187, 1233, 23296, 1110, 2445, 5617, 1189, 17299, 9142, 1170, 2076, 23527, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 158, 31751, 106, 106, 3562, 1275, 1715, 1162, 1197, 1266, 12959, 1313, 1207, 27045, 1125, 14901, 24497, 1120, 1299, 1189, 1844, 22434, 7258, 2616, 1197, 8852, 2604, 1473, 1175, 7743, 1267, 4886, 25565, 1701, 1362, 15670, 1125, 27690, 1328, 13673, 1154, 4505, 1496, 1125, 5087, 6461, 18605, 1645, 2952, 1298, 1362, 4458, 1150, 4379, 184, 4076, 1925, 2004, 9918, 16135, 2160, 1197, 3577, 1285, 1188, 1222, 1519, 7011, 1204, 1511, 16965, 1108, 1362, 1192, 1153, 1210, 3061, 5520, 2585, 3342, 6096, 1158, 22567, 6111, 1255, 2993, 1430, 13424, 1457, 3190, 28055, 1125, 19878, 4886, 13056, 1120, 1186, 14345, 11438, 1186, 8996, 3725, 1186, 10665, 11438, 1186, 2315, 1167, 1317, 12440, 1603, 2726, 20659, 1186, 9537, 1440, 8989, 2004, 21571, 1167, 25414, 22107, 1188, 2962, 2008, 17552, 1346, 1313, 1170, 4154, 1227, 29586, 2694, 2247, 19371, 1125, 1158, 26053, 1197, 27045, 24497, 5068, 106, 106, 145, 3352, 4403, 488, 106, 5294, 4521, 1257, 24187, 1233, 23296, 106, 20357, 1257, 4020, 180, 2850, 106, 4304, 1272, 1257, 1202, 2852, 1222, 29589, 1167, 1248, 5836, 1214, 6410, 22064, 15344, 106, 10272, 4134, 1257, 19310, 1306, 1153, 1285, 10759, 10626, 4748, 25337, 15260, 1208, 4353, 5371, 1269, 1173, 1762, 1306, 2334, 1149, 24548, 1140, 1167, 5950, 196, 24509, 1117, 106, 19210, 1257, 24187, 1233, 23296, 106, 7676, 1125, 6847, 1257, 3225, 1943, 172, 29492, 5587, 189, 3655, 18392, 116, 106, 9299, 14994, 1257, 2315, 488, 106, 9313, 1277, 17482, 1257, 2720, 106, 24178, 1257, 7099, 1323, 488, 126, 128, 8680, 106, 25694, 1257, 488, 128, 125, 4826, 106, 1222, 2026, 1125, 8969, 1257, 106, 2315, 1257, 488, 125, 123, 123, 124, 5007, 23945, 1188, 1158, 14022, 116, 2040, 488, 125, 123, 123, 128, 7216, 18392, 116, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 106, 145, 6417, 2720, 9665, 1186, 488, 125, 123, 123, 128, 106, 145, 6417, 21143, 2720, 106, 152, 12920, 4972, 3277, 2720, 106, 152, 12920, 4972, 3277, 21143, 106, 145, 6417, 21143, 1300, 1158, 22925, 12507, 10999, 106, 106, 145, 6417, 21143, 1300, 1158, 23008, 106, 157, 1183, 2923, 4690, 3243, 1445, 1186, 17490, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 12959, 1313, 1207, 27045, 24497, 1120, 1299, 1189, 21143, 15173, 8922, 1186, 488, 124, 132, 132, 128, 1215, 1170, 19383, 1167, 29542, 7962, 3589, 1289, 1593, 18325, 24187, 1233, 1142, 2357, 31125, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 124, 1300, 1158, 13168, 14124, 2648, 9665, 1317, 9452, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 1686, 17713, 25891, 24187, 1233, 23296, 1110, 2445, 5617, 1189, 17299, 9142, 1170, 2076, 23527, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 106, 106, 158, 31751, 106, 106, 3562, 1275, 1715, 1162, 1197, 1266, 12959, 1313, 1207, 27045, 1125, 14901, 24497, 1120, 1299, 1189, 1844, 22434, 7258, 2616, 1197, 8852, 2604, 1473, 1175, 7743, 1267, 4886, 25565, 1701, 1362, 15670, 1125, 27690, 1328, 13673, 1154, 4505, 1496, 1125, 5087, 6461, 18605, 1645, 2952, 1298, 1362, 4458, 1150, 4379, 184, 4076, 1925, 2004, 9918, 16135, 2160, 1197, 3577, 1285, 1188, 1222, 1519, 7011, 1204, 1511, 16965, 1108, 1362, 1192, 1153, 1210, 3061, 5520, 2585, 3342, 6096, 1158, 22567, 6111, 1255, 2993, 1430, 13424, 1457, 3190, 28055, 1125, 19878, 4886, 13056, 1120, 1186, 14345, 11438, 1186, 8996, 3725, 1186, 10665, 11438, 1186, 2315, 1167, 1317, 12440, 1603, 2726, 20659, 1186, 9537, 1440, 8989, 2004, 21571, 1167, 25414, 22107, 1188, 2962, 2008, 17552, 1346, 1313, 1170, 4154, 1227, 29586, 2694, 2247, 19371, 1125, 1158, 26053, 1197, 27045, 24497, 5068, 106, 106, 145, 3352, 4403, 488, 106, 5294, 4521, 1257, 24187, 1233, 23296, 106, 20357, 1257, 4020, 180, 2850, 106, 4304, 1272, 1257, 1202, 2852, 1222, 29589, 1167, 1248, 5836, 1214, 6410, 22064, 15344, 106, 10272, 4134, 1257, 19310, 1306, 1153, 1285, 10759, 10626, 4748, 25337, 15260, 1208, 4353, 5371, 1269, 1173, 1762, 1306, 2334, 1149, 24548, 1140, 1167, 5950, 196, 24509, 1117, 106, 19210, 1257, 24187, 1233, 23296, 106, 7676, 1125, 6847, 1257, 3225, 1943, 172, 29492, 5587, 189, 3655, 18392, 116, 106, 9299, 14994, 1257, 2315, 488, 106, 9313, 1277, 17482, 1257, 2720, 106, 24178, 1257, 7099, 1323, 488, 126, 128, 8680, 106, 25694, 1257, 488, 128, 125, 4826, 106, 1222, 2026, 1125, 8969, 1257, 106, 2315, 1257, 488, 125, 123, 123, 124, 5007, 23945, 1188, 1158, 14022, 116, 2040, 488, 125, 123, 123, 128, 7216, 18392, 116, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 106, 145, 6417, 2720, 9665, 1186, 488, 125, 123, 123, 128, 106, 145, 6417, 21143, 2720, 106, 152, 12920, 4972, 3277, 2720, 106, 152, 12920, 4972, 3277, 21143, 106, 145, 6417, 21143, 1300, 1158, 22925, 12507, 10999, 106, 106, 145, 6417, 21143, 1300, 1158, 23008, 106, 157, 1183, 2923, 4690, 3243, 1445, 1186, 17490, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 13100, 1140, 21081, 4880, 1249, 1186, 488, 124, 127, 124, 131, 116, 1299, 1189, 13586, 1112, 1334, 1125, 18994, 1768, 1281, 5931, 1123, 15998, 7489, 2290, 1170, 27555, 1125, 8179, 1352, 9064, 1215, 2008, 20922, 1167, 1215, 2008, 3572, 1467, 2714, 1207, 15005, 2288, 1183, 1297, 106, 106, 141, 11741, 14296, 1112, 1334, 1188, 3862, 1125, 488, 124, 127, 124, 124, 119, 1527, 1167, 1370, 1170, 6513, 1125, 1158, 1606, 6380, 1431, 3133, 3864, 1767, 1207, 16458, 119, 1167, 1844, 1158, 3650, 1313, 18994, 106, 106, 140, 2136, 1158, 8350, 3607, 1125, 28940, 7512, 4101, 1168, 183, 2244, 119, 1207, 16675, 192, 23654, 3031, 1169, 1208, 1549, 1153, 23068, 1125, 2801, 1175, 124, 127, 124, 131, 1576, 1548, 1859, 1527, 2255, 1370, 2801, 1186, 9130, 28095, 1693, 22250, 1571, 21863, 31741, 192, 1442, 6492, 8064, 1473, 1215, 1170, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 3143, 1125, 9524, 1373, 1207, 15005, 2288, 21879, 1357, 7723, 1370, 1158, 25109, 1768, 1844, 2350, 3144, 1207, 22840, 2007, 1188, 1352, 2171, 22122, 2969, 1130, 1125, 1207, 17105, 1317, 1539, 5190, 23586, 1167, 1207, 1844, 2231, 1121, 2104, 2290, 3557, 8973, 119, 1170, 488, 124, 125, 2798, 121, 17209, 1207, 15670, 1227, 4815, 24775, 8017, 1170, 23366, 17194, 184, 2288, 15316, 2034, 1630, 1364, 1125, 2315, 1167, 14363, 1125, 1918, 3476, 1539, 1452, 10468, 1125, 12350, 5421, 1140, 21081, 3031, 2423, 1107, 1215, 1207, 11689, 3420, 119, 1207, 12313, 164, 2114, 1207, 13531, 6154, 119, 17541, 1125, 1158, 2415, 1133, 1197, 24807, 2996, 106, 106, 2606, 6018, 1106, 1334, 29567, 1125, 6556, 11391, 244, 1125, 488, 124, 128, 5305, 17355, 1199, 1188, 18163, 7863, 30707, 13651, 1313, 1170, 12311, 1227, 1918, 7655, 1299, 23205, 1125, 2351, 3402, 1215, 1198, 7821, 178, 5173, 1227, 1539, 1573, 3561, 16691, 1150, 1439, 1125, 15814, 2357, 6780, 1252, 1150, 4688, 1167, 1197, 3726, 2007, 10768, 7846, 1188, 1158, 31498, 1167, 1527, 3811, 1281, 20007, 1374, 1313, 1594, 1222, 2547, 244, 1125, 1233, 4166, 1762, 1188, 16675, 1346, 1256, 1251, 21264, 1158, 20212, 3655, 3691, 1571, 16675, 192, 23654, 1167, 1571, 24882, 21194, 6280, 8655, 1452, 2806, 7980, 12412, 3544, 119, 1299, 27247, 1186, 1143, 24113, 1215, 3699, 2130, 1202, 1929, 1167, 1288, 2934, 5931, 1277, 1317, 1106, 1334, 29567, 1309, 3713, 1408, 7959, 121, 106, 106, 2606, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 1357, 3618, 24106, 1594, 1892, 16873, 12975, 1272, 172, 14867, 5421, 1140, 21081, 1175, 1216, 1467, 7015, 1188, 2801, 1496, 26944, 4796, 1309, 1594, 3937, 2985, 2385, 2719, 2433, 1527, 1288, 2922, 172, 1408, 1594, 1781, 1172, 1419, 1167, 2008, 3572, 8566, 1167, 1527, 1170, 6484, 26308, 1167, 1805, 1301, 2177, 1186, 488, 124, 127, 124, 131, 121, 1606, 6053, 25771, 2690, 1173, 3590, 1105, 1331, 119, 3365, 6484, 26308, 5421, 1140, 21081, 119, 2487, 1527, 1281, 7205, 1210, 1370, 11884, 1714, 5824, 1158, 28551, 1167, 2435, 6484, 13835, 2021, 1158, 6425, 1215, 1594, 1152, 1366, 3378, 13738, 5421, 1140, 21081, 2383, 1154, 2327, 20906, 4110, 119, 7809, 1199, 1256, 10028, 2183, 1207, 14030, 1227, 1928, 1380, 2596, 488, 32001, 488, 106, 32000, 20036, 106, 13100, 1140, 21081, 4880, 1249, 1186, 488, 124, 127, 124, 131, 116, 1299, 1189, 13586, 1112, 1334, 1125, 18994, 1768, 1281, 5931, 1123, 15998, 7489, 2290, 1170, 27555, 1125, 8179, 1352, 9064, 1215, 1909, 20922, 1167, 1215, 1909, 3572, 1467, 2714, 1207, 15005, 2288, 1183, 1297, 106, 106, 141, 11741, 106, 141, 1157, 1112, 1334, 1188, 3862, 1125, 488, 124, 127, 124, 124, 119, 1527, 1299, 1170, 6513, 1125, 1158, 1606, 6380, 1431, 3133, 3864, 1767, 1207, 1279, 9274, 1285, 1167, 1844, 1158, 3650, 1313, 18994, 106, 106, 140, 2136, 1158, 8350, 3607, 1125, 28940, 7512, 4101, 1168, 183, 2244, 119, 1207, 16675, 192, 23654, 6096, 1169, 1208, 1549, 1153, 23068, 1125, 2801, 1175, 124, 127, 124, 131, 1576, 1548, 1859, 1527, 28822, 1123, 2801, 1186, 9130, 28095, 17663, 1571, 21863, 31741, 192, 1442, 6492, 8064, 1473, 1215, 1170, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 3143, 1125, 9524, 1373, 1207, 15005, 2288, 21879, 1357, 7723, 2457, 1158, 25109, 1768, 1844, 31086, 1207, 22840, 2007, 1188, 1352, 2171, 22122, 2969, 1130, 1125, 1207, 17105, 1317, 1539, 5190, 23586, 1167, 1207, 1844, 2231, 1121, 2104, 2290, 1909, 8973, 119, 1170, 488, 124, 125, 2798, 121, 17209, 1207, 15670, 1227, 4815, 24775, 31058, 1170, 23366, 17194, 184, 2288, 15316, 2034, 1630, 1364, 1125, 2315, 1167, 14363, 1125, 1918, 3476, 1539, 1452, 10468, 1125, 12350, 5421, 1140, 21081, 3031, 2423, 244, 1215, 1207, 11689, 3420, 119, 1207, 12313, 164, 2114, 1207, 13531, 6154, 119, 17541, 1125, 1158, 2415, 1133, 1197, 24807, 2996, 106, 106, 2606, 6018, 1106, 1334, 29567, 1125, 6556, 11391, 244, 1125, 488, 124, 128, 5305, 17355, 1199, 1188, 18163, 7863, 30707, 13651, 1313, 1170, 12311, 1227, 1918, 7655, 1299, 12252, 244, 1125, 2351, 3402, 1215, 1198, 7821, 178, 5173, 1227, 1539, 1573, 3561, 16691, 1150, 1439, 1125, 15814, 2357, 6780, 1252, 1150, 4688, 1167, 1197, 3726, 2007, 10768, 7846, 1188, 1158, 31498, 1167, 1527, 3811, 1281, 20007, 1374, 1313, 1594, 1222, 2547, 244, 1125, 1233, 4166, 1762, 1188, 16675, 1346, 1256, 1251, 21264, 1158, 20212, 3655, 3691, 1571, 16675, 192, 23654, 1167, 1571, 24882, 21194, 6280, 8655, 1452, 2806, 7980, 12412, 3544, 119, 1299, 11963, 1277, 1186, 1143, 24113, 1215, 3699, 2130, 1202, 1929, 1167, 1288, 2934, 5931, 1277, 1317, 1106, 1334, 29567, 1309, 3713, 1408, 7959, 121, 106, 106, 2606, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 1357, 3618, 24106, 1594, 1892, 16873, 12975, 1272, 172, 14867, 5421, 1140, 21081, 1175, 1216, 1467, 13565, 1188, 2801, 1496, 26944, 4796, 1309, 1594, 3937, 2985, 2385, 2719, 2433, 1527, 1288, 2922, 172, 1408, 1594, 1781, 1172, 1419, 1167, 1909, 3572, 8566, 1167, 1527, 1170, 6484, 26308, 1167, 1805, 1301, 2177, 1186, 488, 124, 127, 124, 131, 121, 1606, 6053, 25771, 2690, 1173, 3590, 1105, 1331, 119, 3365, 6484, 26308, 5421, 1140, 21081, 119, 2487, 1527, 1281, 7205, 1210, 1370, 11884, 1714, 1568, 1158, 28551, 1167, 2435, 6484, 13835, 2021, 1158, 6425, 1215, 1594, 1152, 1366, 3378, 13738, 5421, 1140, 21081, 2383, 1154, 2327, 20906, 4110, 119, 7809, 1199, 1256, 10028, 2183, 1207, 14030, 1227, 1928, 1380, 2596, 1524, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 106, 10026, 11052, 106, 143, 5548, 1125, 12524, 1272, 106, 15440, 2130, 1202, 1929, 106, 7914, 1328, 22794, 106, 106, 28870, 5825, 106, 106, 30609, 1197, 13586, 1112, 1541, 106, 106, 141, 1157, 1112, 1334, 2720, 106, 142, 1414, 1174, 6968, 1188, 4541, 21298, 244, 1186, 2315, 106, 5347, 1125, 10544, 2081, 16625, 15604, 27283, 4996, 176, 6298, 116, 106, 31133, 1467, 1186, 488, 124, 127, 124, 131, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 13100, 1140, 21081, 4880, 1249, 1186, 488, 124, 127, 124, 131, 116, 1299, 1189, 13586, 1112, 1334, 1125, 18994, 1768, 1281, 5931, 1123, 15998, 7489, 2290, 1170, 27555, 1125, 8179, 1352, 9064, 1215, 1909, 20922, 1167, 1215, 1909, 3572, 1467, 2714, 1207, 15005, 2288, 1183, 1297, 106, 106, 141, 11741, 106, 141, 1157, 1112, 1334, 1188, 3862, 1125, 488, 124, 127, 124, 124, 119, 1527, 1299, 1170, 6513, 1125, 1158, 1606, 6380, 1431, 3133, 3864, 1767, 1207, 1279, 9274, 1285, 1167, 1844, 1158, 3650, 1313, 18994, 106, 106, 140, 2136, 1158, 8350, 3607, 1125, 28940, 7512, 4101, 1168, 183, 2244, 119, 1207, 16675, 192, 23654, 6096, 1169, 1208, 1549, 1153, 23068, 1125, 2801, 1175, 124, 127, 124, 131, 1576, 1548, 1859, 1527, 28822, 1123, 2801, 1186, 9130, 28095, 17663, 1571, 21863, 31741, 192, 1442, 6492, 8064, 1473, 1215, 1170, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 3143, 1125, 9524, 1373, 1207, 15005, 2288, 21879, 1357, 7723, 2457, 1158, 25109, 1768, 1844, 31086, 1207, 22840, 2007, 1188, 1352, 2171, 22122, 2969, 1130, 1125, 1207, 17105, 1317, 1539, 5190, 23586, 1167, 1207, 1844, 2231, 1121, 2104, 2290, 1909, 8973, 119, 1170, 488, 124, 125, 2798, 121, 17209, 1207, 15670, 1227, 4815, 24775, 31058, 1170, 23366, 17194, 184, 2288, 15316, 2034, 1630, 1364, 1125, 2315, 1167, 14363, 1125, 1918, 3476, 1539, 1452, 10468, 1125, 12350, 5421, 1140, 21081, 3031, 2423, 244, 1215, 1207, 11689, 3420, 119, 1207, 12313, 164, 2114, 1207, 13531, 6154, 119, 17541, 1125, 1158, 2415, 1133, 1197, 24807, 2996, 106, 106, 2606, 6018, 1106, 1334, 29567, 1125, 6556, 11391, 244, 1125, 488, 124, 128, 5305, 17355, 1199, 1188, 18163, 7863, 30707, 13651, 1313, 1170, 12311, 1227, 1918, 7655, 1299, 12252, 244, 1125, 2351, 3402, 1215, 1198, 7821, 178, 5173, 1227, 1539, 1573, 3561, 16691, 1150, 1439, 1125, 15814, 2357, 6780, 1252, 1150, 4688, 1167, 1197, 3726, 2007, 10768, 7846, 1188, 1158, 31498, 1167, 1527, 3811, 1281, 20007, 1374, 1313, 1594, 1222, 2547, 244, 1125, 1233, 4166, 1762, 1188, 16675, 1346, 1256, 1251, 21264, 1158, 20212, 3655, 3691, 1571, 16675, 192, 23654, 1167, 1571, 24882, 21194, 6280, 8655, 1452, 2806, 7980, 12412, 3544, 119, 1299, 11963, 1277, 1186, 1143, 24113, 1215, 3699, 2130, 1202, 1929, 1167, 1288, 2934, 5931, 1277, 1317, 1106, 1334, 29567, 1309, 3713, 1408, 7959, 121, 106, 106, 2606, 23711, 1125, 16675, 1307, 6664, 3699, 2130, 1202, 1929, 119, 1357, 3618, 24106, 1594, 1892, 16873, 12975, 1272, 172, 14867, 5421, 1140, 21081, 1175, 1216, 1467, 13565, 1188, 2801, 1496, 26944, 4796, 1309, 1594, 3937, 2985, 2385, 2719, 2433, 1527, 1288, 2922, 172, 1408, 1594, 1781, 1172, 1419, 1167, 1909, 3572, 8566, 1167, 1527, 1170, 6484, 26308, 1167, 1805, 1301, 2177, 1186, 488, 124, 127, 124, 131, 121, 1606, 6053, 25771, 2690, 1173, 3590, 1105, 1331, 119, 3365, 6484, 26308, 5421, 1140, 21081, 119, 2487, 1527, 1281, 7205, 1210, 1370, 11884, 1714, 1568, 1158, 28551, 1167, 2435, 6484, 13835, 2021, 1158, 6425, 1215, 1594, 1152, 1366, 3378, 13738, 5421, 1140, 21081, 2383, 1154, 2327, 20906, 4110, 119, 7809, 1199, 1256, 10028, 2183, 1207, 14030, 1227, 1928, 1380, 2596, 1524, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 121, 106, 106, 10026, 11052, 106, 143, 5548, 1125, 12524, 1272, 106, 15440, 2130, 1202, 1929, 106, 7914, 1328, 22794, 106, 106, 28870, 5825, 106, 106, 30609, 1197, 13586, 1112, 1541, 106, 106, 141, 1157, 1112, 1334, 2720, 106, 142, 1414, 1174, 6968, 1188, 4541, 21298, 244, 1186, 2315, 106, 5347, 1125, 10544, 2081, 16625, 15604, 27283, 4996, 176, 6298, 116, 106, 31133, 1467, 1186, 488, 124, 127, 124, 131, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 147, 1461, 24113, 22114, 1681, 1132, 1462, 196, 1285, 1158, 1115, 1333, 2988, 1125, 4263, 4790, 1299, 1318, 16074, 1125, 12267, 18860, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 4732, 187, 1961, 180, 1431, 172, 1965, 30530, 1304, 31348, 4202, 1146, 5907, 106, 106, 142, 2119, 1318, 1771, 2988, 1771, 1442, 2566, 119, 1571, 17470, 8693, 4321, 1197, 13535, 1994, 191, 2248, 1926, 1104, 1188, 30118, 1346, 30530, 1304, 1428, 10645, 1304, 31348, 1227, 18762, 1182, 1167, 1197, 8184, 12288, 3450, 1299, 18717, 28822, 18436, 1186, 7529, 10406, 1188, 14567, 5363, 119, 1188, 1643, 5294, 1145, 4986, 1188, 19570, 1167, 1313, 29487, 1125, 6389, 5419, 4654, 3450, 1754, 1118, 17094, 1207, 18963, 1300, 11786, 2399, 5909, 1465, 19556, 106, 106, 158, 172, 1111, 7009, 1915, 8753, 2205, 1771, 1442, 2566, 1186, 1281, 3146, 4974, 2502, 9563, 3042, 1125, 1367, 1986, 1167, 1158, 21351, 1915, 1823, 22590, 1856, 1189, 1400, 16430, 7017, 106, 106, 153, 10599, 26350, 1183, 11974, 1257, 1771, 2988, 1125, 4263, 4790, 1771, 2988, 4105, 9556, 1175, 3562, 25291, 116, 2040, 1771, 2988, 1125, 1165, 3771, 6909, 1771, 2988, 1125, 10369, 16834, 1475, 1659, 1771, 2988, 10293, 4698, 2733, 1443, 1576, 106, 106, 159, 2012, 6668, 1257, 106, 6880, 4870, 13006, 1110, 1913, 14867, 1805, 2845, 1215, 1200, 6883, 244, 2290, 1170, 1874, 1125, 11265, 3048, 1575, 22114, 1681, 1132, 1462, 1120, 3479, 6256, 3973, 20028, 1576, 1548, 1874, 15358, 1137, 7261, 18183, 1299, 10374, 1317, 13677, 1119, 2038, 10816, 119, 16860, 7198, 184, 1173, 24649, 1493, 30480, 5520, 1167, 1110, 1913, 18078, 1186, 488, 124, 131, 130, 127, 1313, 1170, 8047, 1161, 1135, 10275, 2376, 13309, 1161, 1233, 1896, 1132, 4497, 1516, 488, 125, 121, 24768, 11469, 488, 127, 126, 133, 488, 124, 126, 129, 121, 1576, 106, 106, 158, 1869, 25145, 1257, 106, 158, 3015, 1459, 19939, 1647, 13425, 1429, 1748, 4552, 3282, 1175, 2058, 20106, 1257, 106, 106, 151, 2038, 1197, 2024, 22140, 4870, 243, 1887, 1167, 2604, 6235, 1257, 106, 106, 158, 3015, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 22114, 1681, 1132, 1462, 1120, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 106, 106, 158, 3015, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 7933, 1472, 121, 1131, 12359, 3066, 3278, 1839, 11836, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 22114, 1681, 1132, 1462, 1120, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 1222, 1273, 106, 106, 26630, 1257, 106, 147, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 1318, 21351, 14336, 18663, 1303, 1856, 21351, 1329, 2500, 1366, 1313, 1207, 13535, 30118, 1104, 1256, 1909, 10369, 7795, 196, 2972, 1167, 20372, 1121, 28856, 2502, 1915, 1158, 7899, 3579, 1256, 1158, 6459, 1856, 1189, 25828, 1362, 1189, 1400, 16430, 3212, 1362, 1158, 17105, 1856, 1318, 21351, 17895, 2402, 12372, 1643, 21351, 1299, 2072, 7793, 30429, 18663, 1303, 1188, 1197, 8374, 8503, 1109, 2137, 1313, 1170, 4154, 1125, 3171, 6325, 2252, 4786, 11991, 1256, 1540, 7170, 11376, 6269, 6099, 4060, 21351, 1299, 14238, 1303, 5315, 5511, 1197, 18682, 4690, 173, 1183, 24458, 22122, 1151, 1533, 1510, 6087, 4690, 1331, 1219, 244, 11212, 4690, 4793, 26339, 1128, 15782, 23972, 1452, 17033, 17061, 1151, 2184, 1178, 1193, 9536, 1167, 1166, 1955, 1128, 1273, 9500, 174, 1216, 8402, 12427, 6389, 196, 1136, 3554, 1810, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 27690, 6449, 1210, 1470, 7352, 24557, 1797, 6785, 1296, 1726, 11835, 2217, 3339, 7352, 13590, 1190, 1105, 3725, 4690, 4793, 26339, 28819, 1781, 1168, 1310, 10406, 1116, 1146, 1128, 4720, 7352, 1167, 1299, 13409, 1256, 13176, 3747, 1158, 22337, 1125, 17721, 183, 3988, 1207, 9814, 8802, 1170, 1268, 1136, 6634, 1207, 7330, 174, 12343, 1158, 1185, 3701, 1158, 1115, 243, 187, 2944, 1207, 16309, 1125, 1381, 7011, 1158, 1919, 4951, 1282, 1141, 1276, 4048, 1207, 8110, 13590, 172, 6565, 1207, 10261, 1255, 2598, 9551, 1282, 1383, 1234, 4355, 1207, 1166, 2035, 1121, 3074, 3939, 4892, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 1257, 106, 106, 10026, 11052, 1257, 106, 4861, 3377, 1369, 1125, 13677, 26839, 106, 12253, 1304, 4870, 243, 1887, 2463, 1141, 4111, 1936, 1473, 7630, 1207, 1408, 25901, 4169, 1317, 12136, 25525, 6298, 106, 106, 28870, 5825, 1257, 106, 106, 152, 1132, 187, 1961, 180, 1431, 4735, 106, 3956, 2009, 28822, 18436, 106, 3956, 2009, 1329, 2500, 1366, 106, 3956, 2009, 8503, 1109, 1366, 106, 144, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 32001, 488, 106, 32000, 20036, 106, 114, 147, 1461, 24113, 22114, 1681, 1132, 1462, 3366, 1158, 1771, 2988, 1125, 4263, 4790, 1299, 1318, 16074, 1125, 12267, 18860, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 4732, 187, 1961, 180, 1431, 172, 1965, 30530, 1304, 31348, 4202, 1146, 5907, 106, 106, 142, 2119, 1318, 1771, 2988, 3028, 10877, 1571, 17470, 8693, 4321, 1197, 13535, 1994, 191, 2248, 1926, 1104, 1188, 30118, 1346, 30530, 1304, 1428, 10645, 1304, 31348, 1227, 18762, 1182, 1167, 1197, 8184, 12288, 3450, 1299, 18717, 28822, 18436, 1186, 7529, 10406, 1188, 14567, 5363, 119, 1188, 1643, 5294, 1145, 4986, 1188, 19570, 1167, 1313, 29487, 1125, 6389, 5419, 4654, 3450, 1754, 1118, 17094, 1207, 18963, 1300, 11786, 2399, 5909, 1465, 19556, 106, 106, 158, 172, 1111, 7009, 1915, 8753, 2205, 3028, 1632, 1186, 1281, 3146, 4974, 2502, 9563, 3042, 1125, 1367, 1986, 1167, 1158, 21351, 1915, 1823, 22590, 1856, 1189, 1400, 16430, 7017, 106, 106, 153, 10599, 26350, 1183, 11974, 1257, 1771, 2988, 1125, 4263, 4790, 1771, 2988, 4105, 9556, 1175, 3562, 25291, 116, 2040, 1771, 2988, 1125, 1165, 3771, 6909, 1771, 2988, 1125, 10369, 16834, 1475, 1659, 1771, 2988, 10293, 4698, 2733, 1443, 1576, 106, 106, 159, 2012, 1109, 1137, 1214, 1257, 106, 6880, 4870, 13006, 1110, 1913, 14867, 1805, 2845, 1215, 1200, 6883, 244, 2290, 1170, 1874, 1125, 11265, 3048, 1575, 22114, 1681, 1132, 1462, 1120, 3479, 6256, 3973, 20028, 1576, 1548, 1874, 15358, 1137, 7261, 18183, 1299, 10374, 1317, 13677, 1119, 2038, 10816, 119, 16860, 7198, 184, 1173, 24649, 1493, 30480, 5520, 1167, 1110, 1913, 18078, 1186, 488, 124, 131, 130, 127, 1313, 1170, 8047, 1161, 1135, 10275, 2376, 13309, 1161, 1233, 1896, 1132, 4497, 1516, 488, 125, 121, 24768, 11469, 488, 127, 126, 133, 488, 124, 126, 129, 121, 1576, 106, 106, 158, 1869, 25145, 1257, 106, 158, 3015, 1459, 19939, 1647, 13425, 1429, 1748, 4552, 3282, 1175, 2058, 20106, 1257, 106, 106, 151, 2038, 1197, 11566, 4870, 243, 1887, 1167, 2604, 6235, 1257, 106, 106, 158, 3015, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 22114, 1681, 1132, 1462, 1120, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 106, 106, 158, 3015, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 7933, 1472, 121, 1131, 12359, 3066, 3278, 1839, 11836, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 22114, 1681, 1132, 1462, 1120, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 1222, 1273, 106, 106, 26630, 1257, 106, 147, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 1318, 21351, 14336, 18663, 1303, 1856, 21351, 1329, 2500, 1366, 1313, 1207, 13535, 30118, 1104, 1256, 1909, 10369, 7795, 196, 2972, 1167, 20372, 1121, 28856, 2502, 1915, 1158, 7899, 3579, 1256, 1158, 6459, 1856, 1189, 25828, 1362, 1189, 1400, 16430, 3212, 1362, 1158, 17105, 1856, 1318, 21351, 17895, 2402, 12372, 1643, 21351, 1299, 2072, 7793, 30429, 18663, 1303, 1188, 1197, 8374, 8503, 1109, 2137, 1313, 1170, 4154, 1125, 3171, 6325, 2252, 4786, 11991, 1256, 1540, 7170, 11376, 6269, 6099, 4060, 21351, 1299, 14238, 1303, 5315, 5511, 1197, 18682, 4690, 173, 1183, 24458, 22122, 1151, 1533, 1510, 6087, 4690, 1331, 1219, 244, 11212, 4690, 4793, 26339, 1128, 15782, 23972, 1452, 17033, 17061, 1151, 2184, 1178, 1193, 9536, 1167, 1166, 1955, 1128, 1273, 9500, 174, 1216, 8402, 12427, 6389, 196, 1136, 3554, 1810, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 27690, 6449, 1210, 1470, 7352, 24557, 1797, 6785, 1296, 1726, 11835, 2217, 3339, 7352, 13590, 1190, 1105, 3725, 4690, 4793, 26339, 28819, 1781, 1168, 1310, 10406, 1116, 1146, 1128, 4720, 7352, 1167, 1299, 13409, 1256, 13176, 3747, 1158, 22337, 1125, 17721, 183, 3988, 1207, 9814, 8802, 1170, 1268, 1136, 6634, 1207, 7330, 174, 12343, 1158, 1185, 3701, 1158, 1115, 243, 187, 2944, 1207, 16309, 1125, 1381, 7011, 1158, 1919, 4951, 1282, 1141, 1276, 4048, 1207, 8110, 13590, 172, 6565, 1207, 10261, 1255, 2598, 9551, 1282, 1383, 1234, 4355, 1207, 1166, 2035, 1121, 3074, 3939, 4892, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 1257, 106, 106, 10026, 11052, 1257, 106, 4861, 3377, 1369, 1125, 13677, 26839, 106, 12253, 1304, 4870, 243, 1887, 2463, 1141, 4111, 1936, 1473, 7630, 1207, 1408, 25901, 4169, 1317, 12136, 25525, 6298, 106, 106, 28870, 5825, 1257, 106, 106, 152, 1132, 187, 1961, 180, 1431, 4735, 106, 3956, 2009, 28822, 18436, 106, 3956, 2009, 1329, 2500, 1366, 106, 3956, 2009, 8503, 1109, 1366, 106, 144, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 147, 1461, 24113, 22114, 1681, 1132, 1462, 3366, 1158, 1771, 2988, 1125, 4263, 4790, 1299, 1318, 16074, 1125, 12267, 18860, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 4732, 187, 1961, 180, 1431, 172, 1965, 30530, 1304, 31348, 4202, 1146, 5907, 106, 106, 142, 2119, 1318, 1771, 2988, 3028, 10877, 1571, 17470, 8693, 4321, 1197, 13535, 1994, 191, 2248, 1926, 1104, 1188, 30118, 1346, 30530, 1304, 1428, 10645, 1304, 31348, 1227, 18762, 1182, 1167, 1197, 8184, 12288, 3450, 1299, 18717, 28822, 18436, 1186, 7529, 10406, 1188, 14567, 5363, 119, 1188, 1643, 5294, 1145, 4986, 1188, 19570, 1167, 1313, 29487, 1125, 6389, 5419, 4654, 3450, 1754, 1118, 17094, 1207, 18963, 1300, 11786, 2399, 5909, 1465, 19556, 106, 106, 158, 172, 1111, 7009, 1915, 8753, 2205, 3028, 1632, 1186, 1281, 3146, 4974, 2502, 9563, 3042, 1125, 1367, 1986, 1167, 1158, 21351, 1915, 1823, 22590, 1856, 1189, 1400, 16430, 7017, 106, 106, 153, 10599, 26350, 1183, 11974, 1257, 1771, 2988, 1125, 4263, 4790, 1771, 2988, 4105, 9556, 1175, 3562, 25291, 116, 2040, 1771, 2988, 1125, 1165, 3771, 6909, 1771, 2988, 1125, 10369, 16834, 1475, 1659, 1771, 2988, 10293, 4698, 2733, 1443, 1576, 106, 106, 159, 2012, 1109, 1137, 1214, 1257, 106, 6880, 4870, 13006, 1110, 1913, 14867, 1805, 2845, 1215, 1200, 6883, 244, 2290, 1170, 1874, 1125, 11265, 3048, 1575, 22114, 1681, 1132, 1462, 1120, 3479, 6256, 3973, 20028, 1576, 1548, 1874, 15358, 1137, 7261, 18183, 1299, 10374, 1317, 13677, 1119, 2038, 10816, 119, 16860, 7198, 184, 1173, 24649, 1493, 30480, 5520, 1167, 1110, 1913, 18078, 1186, 488, 124, 131, 130, 127, 1313, 1170, 8047, 1161, 1135, 10275, 2376, 13309, 1161, 1233, 1896, 1132, 4497, 1516, 488, 125, 121, 24768, 11469, 488, 127, 126, 133, 488, 124, 126, 129, 121, 1576, 106, 106, 158, 1869, 25145, 1257, 106, 158, 3015, 1459, 19939, 1647, 13425, 1429, 1748, 4552, 3282, 1175, 2058, 20106, 1257, 106, 106, 151, 2038, 1197, 11566, 4870, 243, 1887, 1167, 2604, 6235, 1257, 106, 106, 158, 3015, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 22114, 1681, 1132, 1462, 1120, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 106, 106, 158, 3015, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 106, 11566, 4870, 13006, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1994, 2145, 121, 4146, 1146, 1220, 7933, 1472, 121, 1131, 12359, 3066, 3278, 1839, 11836, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 22114, 1681, 1132, 1462, 1120, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 2102, 1221, 1172, 1575, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 1708, 1276, 6526, 180, 1248, 14236, 1173, 2486, 1573, 121, 106, 20910, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 2739, 121, 5412, 11322, 1462, 1120, 1222, 1273, 106, 106, 26630, 1257, 106, 147, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 1318, 21351, 14336, 18663, 1303, 1856, 21351, 1329, 2500, 1366, 1313, 1207, 13535, 30118, 1104, 1256, 1909, 10369, 7795, 196, 2972, 1167, 20372, 1121, 28856, 2502, 1915, 1158, 7899, 3579, 1256, 1158, 6459, 1856, 1189, 25828, 1362, 1189, 1400, 16430, 3212, 1362, 1158, 17105, 1856, 1318, 21351, 17895, 2402, 12372, 1643, 21351, 1299, 2072, 7793, 30429, 18663, 1303, 1188, 1197, 8374, 8503, 1109, 2137, 1313, 1170, 4154, 1125, 3171, 6325, 2252, 4786, 11991, 1256, 1540, 7170, 11376, 6269, 6099, 4060, 21351, 1299, 14238, 1303, 5315, 5511, 1197, 18682, 4690, 173, 1183, 24458, 22122, 1151, 1533, 1510, 6087, 4690, 1331, 1219, 244, 11212, 4690, 4793, 26339, 1128, 15782, 23972, 1452, 17033, 17061, 1151, 2184, 1178, 1193, 9536, 1167, 1166, 1955, 1128, 1273, 9500, 174, 1216, 8402, 12427, 6389, 196, 1136, 3554, 1810, 1306, 1461, 24113, 22114, 1681, 1132, 1462, 1120, 1299, 27690, 6449, 1210, 1470, 7352, 24557, 1797, 6785, 1296, 1726, 11835, 2217, 3339, 7352, 13590, 1190, 1105, 3725, 4690, 4793, 26339, 28819, 1781, 1168, 1310, 10406, 1116, 1146, 1128, 4720, 7352, 1167, 1299, 13409, 1256, 13176, 3747, 1158, 22337, 1125, 17721, 183, 3988, 1207, 9814, 8802, 1170, 1268, 1136, 6634, 1207, 7330, 174, 12343, 1158, 1185, 3701, 1158, 1115, 243, 187, 2944, 1207, 16309, 1125, 1381, 7011, 1158, 1919, 4951, 1282, 1141, 1276, 4048, 1207, 8110, 13590, 172, 6565, 1207, 10261, 1255, 2598, 9551, 1282, 1383, 1234, 4355, 1207, 1166, 2035, 1121, 3074, 3939, 4892, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 1257, 106, 106, 10026, 11052, 1257, 106, 4861, 3377, 1369, 1125, 13677, 26839, 106, 12253, 1304, 4870, 243, 1887, 2463, 1141, 4111, 1936, 1473, 7630, 1207, 1408, 25901, 4169, 1317, 12136, 25525, 6298, 106, 106, 28870, 5825, 1257, 106, 106, 152, 1132, 187, 1961, 180, 1431, 4735, 106, 3956, 2009, 28822, 18436, 106, 3956, 2009, 1329, 2500, 1366, 106, 3956, 2009, 8503, 1109, 1366, 106, 144, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3732, 8408, 1130, 8353, 5186, 4353, 14232, 1186, 488, 124, 132, 128, 130, 119, 1299, 1318, 3585, 1737, 2038, 10891, 1366, 22249, 20206, 28355, 3450, 1299, 27886, 7400, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 2757, 488, 125, 123, 124, 126, 121, 3450, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 14301, 12339, 2004, 6340, 244, 1188, 1318, 6742, 20189, 1197, 22585, 22038, 1186, 12094, 119, 3187, 2620, 23777, 14772, 1314, 1167, 23777, 1227, 6973, 121, 106, 106, 5522, 9861, 2499, 8408, 1130, 1299, 5252, 1188, 4444, 2303, 22926, 1174, 1186, 2605, 1276, 20206, 1214, 1186, 488, 124, 132, 128, 130, 121, 14301, 6393, 2255, 15597, 1170, 1153, 13257, 1188, 19543, 2585, 2499, 8408, 1130, 1878, 1130, 1186, 3060, 26138, 1197, 21794, 4995, 1281, 7349, 1112, 24767, 1167, 1215, 16042, 1667, 3572, 1378, 1313, 1909, 22589, 1457, 2499, 8408, 1130, 1110, 2445, 25098, 1158, 6841, 11884, 1197, 31718, 1357, 2004, 18668, 1594, 18343, 1167, 1282, 1258, 15319, 3798, 106, 106, 2700, 1232, 3713, 5610, 4661, 1313, 1594, 9876, 3301, 2499, 8408, 1130, 3233, 6825, 1571, 5031, 6530, 1172, 1457, 18335, 1594, 1408, 6018, 6245, 4780, 2399, 15574, 1189, 2511, 4061, 1197, 26471, 121, 1778, 21606, 1561, 10023, 1158, 3812, 1125, 5898, 1207, 3519, 1125, 1158, 15147, 20854, 1317, 26496, 1125, 5742, 22250, 1207, 3248, 1167, 13146, 31824, 1186, 3601, 5716, 3435, 8711, 7238, 8353, 5186, 1178, 1299, 14409, 1303, 1188, 1158, 1227, 18407, 1227, 2498, 1313, 1170, 8007, 6530, 12057, 21232, 1199, 1408, 8709, 1256, 1207, 2820, 14385, 3450, 26234, 1148, 2445, 1207, 8110, 1125, 4052, 1313, 1189, 12071, 1362, 1594, 7130, 1299, 1186, 10251, 19683, 1256, 8240, 1207, 7453, 1125, 4866, 10509, 17145, 5198, 1297, 3350, 2399, 19619, 2072, 1667, 1170, 18343, 1227, 6485, 6530, 6132, 1867, 1440, 11012, 2399, 1110, 1158, 12698, 1125, 3924, 1197, 6178, 1188, 2008, 22585, 6530, 1172, 1457, 6053, 2442, 7230, 2368, 6533, 1849, 2079, 1197, 8787, 1186, 7332, 1167, 21280, 121, 106, 106, 20616, 4096, 2499, 8408, 1130, 8353, 5186, 192, 1299, 1158, 3453, 4875, 1125, 1561, 3734, 1188, 18069, 1188, 21455, 1304, 5157, 1120, 4379, 1897, 6945, 1186, 488, 124, 132, 130, 127, 121, 3450, 1299, 7628, 13825, 1303, 1469, 1207, 1166, 1767, 1392, 1186, 11733, 1227, 10891, 1132, 1186, 488, 124, 132, 130, 132, 121, 3450, 18764, 1594, 1127, 1573, 1450, 1125, 3585, 4058, 10891, 1366, 1186, 31060, 1188, 21455, 23982, 1227, 4304, 4436, 1186, 488, 124, 132, 131, 128, 121, 3450, 1910, 1188, 21455, 23982, 1227, 1518, 1220, 4277, 2585, 2399, 1805, 10928, 1594, 11622, 1128, 1186, 3260, 4058, 26087, 4010, 1167, 1186, 3585, 4058, 10891, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1318, 21203, 16475, 16147, 1204, 23287, 1455, 25597, 1171, 5080, 3520, 1161, 1151, 1305, 1187, 1203, 1419, 11846, 1446, 2271, 12957, 29185, 1141, 3577, 1182, 4720, 1113, 12160, 1329, 196, 7348, 2596, 2499, 8408, 1130, 8353, 5186, 192, 16853, 1909, 12339, 1300, 1207, 6270, 1701, 26087, 11974, 1125, 1158, 3585, 15546, 7551, 1188, 21455, 17574, 1488, 1125, 488, 124, 132, 131, 132, 1188, 488, 124, 132, 132, 125, 121, 3450, 10452, 1170, 5927, 7072, 7363, 6723, 1256, 6389, 9971, 1125, 21204, 1167, 6389, 9971, 13676, 1188, 26341, 4578, 1125, 3370, 1300, 5259, 28341, 1175, 2660, 3472, 1576, 3450, 1110, 1913, 19195, 3486, 7743, 9438, 1197, 8015, 1623, 1188, 27542, 15863, 1226, 1110, 9615, 26799, 1147, 14016, 1175, 3308, 4305, 1576, 3450, 5464, 1245, 1186, 2605, 1276, 20206, 1214, 2750, 2782, 20780, 1188, 5863, 180, 1186, 17304, 4654, 106, 106, 3732, 8408, 1130, 8353, 5186, 192, 1299, 12082, 9034, 20813, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 3817, 2399, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 1643, 21964, 2367, 1186, 1279, 2683, 9598, 106, 106, 155, 3303, 1167, 2328, 1109, 7683, 488, 125, 123, 124, 127, 1257, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 488, 125, 123, 124, 124, 1257, 8276, 1198, 162, 2235, 1226, 22479, 14803, 18116, 14433, 15567, 1161, 10850, 1226, 1135, 9286, 1149, 5055, 488, 125, 123, 124, 123, 1257, 1671, 5834, 30558, 1226, 1110, 9615, 26799, 1147, 14016, 488, 125, 123, 123, 129, 1257, 31305, 10505, 10812, 1805, 1608, 244, 1215, 1170, 5809, 1304, 7549, 1125, 1158, 7732, 1125, 12278, 106, 106, 10853, 2605, 24116, 1125, 15714, 1304, 5157, 1120, 4379, 1897, 6945, 18116, 1533, 1460, 22249, 20206, 3556, 26314, 11246, 1227, 12136, 25525, 6298, 26314, 11246, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 23982, 1227, 28634, 8216, 244, 1230, 1227, 3248, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 2605, 24116, 1125, 15714, 23982, 1227, 4304, 4436, 31128, 1125, 31805, 14064, 2100, 1197, 4228, 23311, 32001, 488, 106, 32000, 20036, 106, 3732, 8408, 1130, 8353, 5186, 4353, 14232, 1186, 488, 124, 132, 128, 130, 119, 1299, 1318, 3585, 1737, 2038, 10891, 1366, 22249, 20206, 28355, 3450, 1299, 27886, 7400, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 2757, 488, 125, 123, 124, 126, 121, 3450, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 14301, 12339, 2004, 6340, 244, 1188, 1318, 6742, 20189, 1197, 22585, 22038, 1186, 12094, 119, 3187, 2620, 23777, 14772, 1314, 1167, 23777, 1227, 6973, 121, 106, 106, 5522, 9861, 2499, 8408, 1130, 1299, 14232, 1188, 4444, 2303, 22926, 1174, 1186, 13820, 20206, 1214, 1186, 488, 124, 132, 128, 130, 121, 14301, 6393, 2255, 15597, 2770, 13257, 1188, 19543, 2585, 2499, 8408, 1130, 1878, 1130, 1186, 3060, 26138, 1197, 21794, 4995, 1281, 7349, 189, 6270, 1473, 1167, 1215, 16042, 1667, 3572, 1378, 1313, 1909, 22589, 1457, 2499, 8408, 1130, 1110, 2445, 4795, 1158, 6841, 11884, 1197, 31718, 1357, 2004, 18668, 1594, 18343, 1167, 1282, 1258, 15319, 3798, 106, 106, 2700, 1232, 3713, 5610, 4661, 1313, 1594, 9876, 3301, 2499, 8408, 1130, 3233, 6825, 1571, 5031, 6530, 1172, 1457, 18335, 1594, 1408, 6018, 6245, 4780, 2399, 15574, 1189, 2511, 4061, 1197, 26471, 121, 1778, 21606, 1561, 10023, 1158, 3812, 1125, 5898, 1207, 3519, 1125, 1158, 15147, 20854, 1317, 26496, 1125, 5742, 22250, 1207, 3248, 1167, 13146, 31824, 1186, 3601, 5716, 3435, 8711, 7238, 8353, 5186, 1178, 1299, 14409, 1303, 1188, 1158, 1227, 18407, 1227, 2498, 1313, 1170, 8007, 6530, 12057, 21232, 1199, 1408, 8709, 1256, 1207, 2820, 14385, 3450, 26234, 1148, 2445, 1207, 8110, 1125, 4052, 1313, 1189, 12071, 1362, 1594, 7130, 1299, 1186, 10251, 19683, 1256, 8240, 1207, 7453, 1125, 4866, 10509, 17145, 5198, 1297, 3350, 2399, 19619, 2072, 1667, 1170, 18343, 1227, 6485, 6530, 6132, 1867, 1440, 11012, 2399, 1110, 1158, 12698, 1125, 3924, 1197, 6178, 1188, 2008, 22585, 6530, 1172, 1457, 6053, 2442, 7230, 2368, 6533, 1849, 2079, 1197, 8787, 1186, 7332, 1167, 21280, 121, 106, 106, 20616, 4096, 2499, 8408, 1130, 8353, 5186, 192, 1299, 1158, 3453, 4875, 1125, 1561, 3734, 1188, 18069, 1188, 21455, 1304, 5157, 1120, 4379, 1897, 6945, 1186, 488, 124, 132, 130, 127, 121, 3450, 1299, 7628, 13825, 1303, 1469, 1207, 1166, 1767, 1392, 1186, 11733, 1227, 10891, 1132, 1186, 488, 124, 132, 130, 132, 121, 3450, 18764, 1594, 1127, 1573, 1450, 1125, 3585, 4058, 10891, 1366, 1186, 31060, 1188, 21455, 23982, 1227, 4304, 4436, 1186, 488, 124, 132, 131, 128, 121, 3450, 1910, 1188, 21455, 23982, 1227, 1518, 1220, 4277, 2585, 2399, 1805, 10928, 1594, 11622, 1128, 1186, 3260, 4058, 26087, 4010, 1167, 1186, 3585, 4058, 10891, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1318, 21203, 16475, 16147, 1204, 23287, 1455, 25597, 1171, 5080, 3520, 1161, 1151, 1305, 1187, 1203, 1419, 11846, 1446, 2271, 12957, 29185, 1141, 3577, 1182, 4720, 1113, 12160, 1329, 196, 7348, 2596, 2499, 8408, 1130, 8353, 5186, 192, 16853, 1909, 12339, 1300, 1207, 6270, 1701, 26087, 11974, 1125, 1158, 3585, 15546, 7551, 1188, 21455, 17574, 1488, 1125, 488, 124, 132, 131, 132, 1188, 488, 124, 132, 132, 125, 121, 3450, 10452, 1170, 5927, 7072, 7363, 6723, 1256, 6389, 9971, 1125, 21204, 1167, 6389, 9971, 13676, 1188, 26341, 4578, 1125, 3370, 1300, 5259, 28341, 1175, 2660, 3472, 1576, 3450, 1110, 1913, 19195, 3486, 7743, 9438, 1197, 8015, 1623, 1188, 27542, 15863, 1226, 1110, 9615, 26799, 1147, 14016, 1175, 3308, 4305, 1576, 3450, 5464, 1245, 1186, 2605, 1276, 20206, 1214, 2750, 2782, 20780, 1188, 5863, 180, 1186, 17304, 4654, 106, 106, 3732, 8408, 1130, 8353, 5186, 192, 1299, 12082, 9034, 20813, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 3817, 2399, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 1643, 21964, 2367, 1186, 1279, 2683, 9598, 106, 106, 155, 3303, 1167, 2328, 1109, 7683, 488, 125, 123, 124, 127, 1257, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 488, 125, 123, 124, 124, 1257, 8276, 1198, 162, 2235, 1226, 22479, 14803, 18116, 14433, 15567, 1161, 10850, 1226, 1135, 9286, 1149, 5055, 488, 125, 123, 124, 123, 1257, 1671, 5834, 30558, 1226, 1110, 9615, 26799, 1147, 14016, 488, 125, 123, 123, 129, 1257, 31305, 10505, 10812, 1805, 1608, 244, 1215, 1170, 5809, 1304, 7549, 1125, 1158, 7732, 1125, 12278, 106, 106, 10853, 2605, 24116, 1125, 15714, 1304, 5157, 1120, 4379, 1897, 6945, 18116, 1533, 1460, 22249, 20206, 3556, 26314, 11246, 1227, 12136, 25525, 6298, 26314, 11246, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 23982, 1227, 28634, 8216, 244, 1230, 1227, 3248, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 2605, 24116, 1125, 15714, 23982, 1227, 4304, 4436, 31128, 1125, 31805, 14064, 2100, 1197, 4228, 23311, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3732, 8408, 1130, 8353, 5186, 4353, 14232, 1186, 488, 124, 132, 128, 130, 119, 1299, 1318, 3585, 1737, 2038, 10891, 1366, 22249, 20206, 28355, 3450, 1299, 27886, 7400, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 2757, 488, 125, 123, 124, 126, 121, 3450, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 14301, 12339, 2004, 6340, 244, 1188, 1318, 6742, 20189, 1197, 22585, 22038, 1186, 12094, 119, 3187, 2620, 23777, 14772, 1314, 1167, 23777, 1227, 6973, 121, 106, 106, 5522, 9861, 2499, 8408, 1130, 1299, 14232, 1188, 4444, 2303, 22926, 1174, 1186, 13820, 20206, 1214, 1186, 488, 124, 132, 128, 130, 121, 14301, 6393, 2255, 15597, 2770, 13257, 1188, 19543, 2585, 2499, 8408, 1130, 1878, 1130, 1186, 3060, 26138, 1197, 21794, 4995, 1281, 7349, 189, 6270, 1473, 1167, 1215, 16042, 1667, 3572, 1378, 1313, 1909, 22589, 1457, 2499, 8408, 1130, 1110, 2445, 4795, 1158, 6841, 11884, 1197, 31718, 1357, 2004, 18668, 1594, 18343, 1167, 1282, 1258, 15319, 3798, 106, 106, 2700, 1232, 3713, 5610, 4661, 1313, 1594, 9876, 3301, 2499, 8408, 1130, 3233, 6825, 1571, 5031, 6530, 1172, 1457, 18335, 1594, 1408, 6018, 6245, 4780, 2399, 15574, 1189, 2511, 4061, 1197, 26471, 121, 1778, 21606, 1561, 10023, 1158, 3812, 1125, 5898, 1207, 3519, 1125, 1158, 15147, 20854, 1317, 26496, 1125, 5742, 22250, 1207, 3248, 1167, 13146, 31824, 1186, 3601, 5716, 3435, 8711, 7238, 8353, 5186, 1178, 1299, 14409, 1303, 1188, 1158, 1227, 18407, 1227, 2498, 1313, 1170, 8007, 6530, 12057, 21232, 1199, 1408, 8709, 1256, 1207, 2820, 14385, 3450, 26234, 1148, 2445, 1207, 8110, 1125, 4052, 1313, 1189, 12071, 1362, 1594, 7130, 1299, 1186, 10251, 19683, 1256, 8240, 1207, 7453, 1125, 4866, 10509, 17145, 5198, 1297, 3350, 2399, 19619, 2072, 1667, 1170, 18343, 1227, 6485, 6530, 6132, 1867, 1440, 11012, 2399, 1110, 1158, 12698, 1125, 3924, 1197, 6178, 1188, 2008, 22585, 6530, 1172, 1457, 6053, 2442, 7230, 2368, 6533, 1849, 2079, 1197, 8787, 1186, 7332, 1167, 21280, 121, 106, 106, 20616, 4096, 2499, 8408, 1130, 8353, 5186, 192, 1299, 1158, 3453, 4875, 1125, 1561, 3734, 1188, 18069, 1188, 21455, 1304, 5157, 1120, 4379, 1897, 6945, 1186, 488, 124, 132, 130, 127, 121, 3450, 1299, 7628, 13825, 1303, 1469, 1207, 1166, 1767, 1392, 1186, 11733, 1227, 10891, 1132, 1186, 488, 124, 132, 130, 132, 121, 3450, 18764, 1594, 1127, 1573, 1450, 1125, 3585, 4058, 10891, 1366, 1186, 31060, 1188, 21455, 23982, 1227, 4304, 4436, 1186, 488, 124, 132, 131, 128, 121, 3450, 1910, 1188, 21455, 23982, 1227, 1518, 1220, 4277, 2585, 2399, 1805, 10928, 1594, 11622, 1128, 1186, 3260, 4058, 26087, 4010, 1167, 1186, 3585, 4058, 10891, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1318, 21203, 16475, 16147, 1204, 23287, 1455, 25597, 1171, 5080, 3520, 1161, 1151, 1305, 1187, 1203, 1419, 11846, 1446, 2271, 12957, 29185, 1141, 3577, 1182, 4720, 1113, 12160, 1329, 196, 7348, 2596, 2499, 8408, 1130, 8353, 5186, 192, 16853, 1909, 12339, 1300, 1207, 6270, 1701, 26087, 11974, 1125, 1158, 3585, 15546, 7551, 1188, 21455, 17574, 1488, 1125, 488, 124, 132, 131, 132, 1188, 488, 124, 132, 132, 125, 121, 3450, 10452, 1170, 5927, 7072, 7363, 6723, 1256, 6389, 9971, 1125, 21204, 1167, 6389, 9971, 13676, 1188, 26341, 4578, 1125, 3370, 1300, 5259, 28341, 1175, 2660, 3472, 1576, 3450, 1110, 1913, 19195, 3486, 7743, 9438, 1197, 8015, 1623, 1188, 27542, 15863, 1226, 1110, 9615, 26799, 1147, 14016, 1175, 3308, 4305, 1576, 3450, 5464, 1245, 1186, 2605, 1276, 20206, 1214, 2750, 2782, 20780, 1188, 5863, 180, 1186, 17304, 4654, 106, 106, 3732, 8408, 1130, 8353, 5186, 192, 1299, 12082, 9034, 20813, 1227, 6508, 4578, 1125, 5934, 4058, 1167, 12904, 4058, 1197, 1781, 22549, 1175, 2560, 4725, 29233, 1188, 1266, 1558, 1150, 9046, 3817, 2399, 1299, 1158, 12228, 1230, 1227, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 1186, 488, 125, 123, 124, 127, 121, 1643, 21964, 2367, 1186, 1279, 2683, 9598, 106, 106, 155, 3303, 1167, 2328, 1109, 7683, 488, 125, 123, 124, 127, 1257, 8276, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 488, 125, 123, 124, 124, 1257, 8276, 1198, 162, 2235, 1226, 22479, 14803, 18116, 14433, 15567, 1161, 10850, 1226, 1135, 9286, 1149, 5055, 488, 125, 123, 124, 123, 1257, 1671, 5834, 30558, 1226, 1110, 9615, 26799, 1147, 14016, 488, 125, 123, 123, 129, 1257, 31305, 10505, 10812, 1805, 1608, 244, 1215, 1170, 5809, 1304, 7549, 1125, 1158, 7732, 1125, 12278, 106, 106, 10853, 2605, 24116, 1125, 15714, 1304, 5157, 1120, 4379, 1897, 6945, 18116, 1533, 1460, 22249, 20206, 3556, 26314, 11246, 1227, 12136, 25525, 6298, 26314, 11246, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 23982, 1227, 28634, 8216, 244, 1230, 1227, 3248, 2576, 154, 1568, 1132, 4917, 1104, 6271, 1256, 1207, 5247, 1167, 1158, 7332, 2605, 24116, 1125, 15714, 23982, 1227, 4304, 4436, 31128, 1125, 31805, 14064, 2100, 1197, 4228, 23311, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 4455, 4322, 19754, 1227, 2854, 1125, 13283, 28615, 488, 125, 123, 124, 124, 1299, 1318, 9891, 1197, 4322, 19754, 1227, 2854, 1125, 13283, 1119, 21844, 106, 106, 4929, 1234, 1199, 1162, 488, 106, 142, 1567, 15142, 10845, 1158, 488, 127, 128, 2247, 1197, 2693, 1291, 12202, 17252, 14895, 1131, 2035, 185, 1109, 9356, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 17252, 3553, 1131, 2035, 185, 2982, 1158, 488, 124, 125, 2247, 1197, 2693, 1291, 12202, 17538, 14895, 1167, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 17538, 1445, 121, 3450, 1281, 23408, 1188, 1518, 1320, 1107, 6713, 1136, 21028, 1496, 1227, 488, 124, 130, 1317, 488, 125, 126, 2822, 488, 125, 123, 124, 124, 121, 106, 106, 157, 1234, 18036, 106, 106, 159, 1164, 1291, 4326, 17252, 3553, 1131, 2035, 185, 1245, 106, 106, 5449, 1483, 1125, 1638, 192, 21346, 106, 106, 5449, 1483, 2804, 106, 106, 159, 1187, 1125, 2671, 2116, 17252, 1187, 1131, 2035, 185, 1314, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1193, 1224, 106, 106, 5449, 1483, 2804, 106, 106, 159, 1164, 1291, 4326, 17538, 2504, 106, 106, 5449, 1483, 1125, 6969, 106, 106, 5449, 1483, 2804, 106, 106, 159, 1187, 1125, 2671, 2116, 17538, 1445, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1741, 106, 106, 5449, 1483, 2804, 106, 106, 155, 258, 1331, 11448, 488, 106, 106, 1686, 10034, 1460, 1257, 1252, 18700, 1109, 1186, 5082, 1345, 24638, 106, 106, 6379, 1334, 1197, 3320, 13841, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 106, 106, 10853, 488, 106, 106, 125, 123, 124, 124, 106, 155, 1630, 185, 1244, 106, 2330, 1916, 11249, 1227, 2854, 1186, 28237, 106, 158, 1715, 1186, 2822, 488, 125, 123, 124, 124, 32001, 488, 106, 32000, 20036, 106, 4455, 4322, 19754, 1227, 2854, 1125, 13283, 28615, 488, 125, 123, 124, 124, 1299, 1318, 9891, 1197, 4322, 19754, 1227, 2854, 1125, 13283, 1119, 21844, 106, 106, 4929, 13700, 488, 106, 142, 1567, 15142, 10845, 1158, 488, 127, 128, 2247, 1197, 21399, 8185, 17252, 14895, 9943, 9356, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 17252, 3553, 9943, 2982, 1158, 488, 124, 125, 2247, 1197, 21399, 8185, 17538, 14895, 1167, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 24638, 121, 3450, 1281, 23408, 1188, 1518, 1320, 1107, 6713, 1136, 21028, 1496, 1227, 488, 124, 130, 1317, 488, 125, 126, 2822, 488, 125, 123, 124, 124, 121, 106, 106, 157, 1234, 18036, 106, 106, 159, 1164, 1629, 5904, 17252, 3553, 30284, 106, 106, 5449, 1483, 1125, 6969, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1187, 1125, 17920, 17252, 3553, 30284, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1741, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1164, 1629, 5904, 24638, 106, 106, 5449, 1483, 1125, 6969, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1187, 1125, 17920, 24638, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1741, 106, 106, 5449, 1483, 12244, 106, 106, 30489, 3282, 190, 488, 106, 106, 1686, 10034, 1460, 1257, 1252, 18700, 1314, 1186, 6964, 24638, 106, 106, 6379, 1334, 1197, 3320, 13841, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 106, 106, 10853, 488, 106, 106, 125, 123, 124, 124, 106, 155, 1630, 28615, 106, 2330, 1916, 11249, 1227, 2854, 1186, 28237, 106, 158, 1715, 1186, 2822, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4455, 4322, 19754, 1227, 2854, 1125, 13283, 28615, 488, 125, 123, 124, 124, 1299, 1318, 9891, 1197, 4322, 19754, 1227, 2854, 1125, 13283, 1119, 21844, 106, 106, 4929, 13700, 488, 106, 142, 1567, 15142, 10845, 1158, 488, 127, 128, 2247, 1197, 21399, 8185, 17252, 14895, 9943, 9356, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 17252, 3553, 9943, 2982, 1158, 488, 124, 125, 2247, 1197, 21399, 8185, 17538, 14895, 1167, 1158, 488, 128, 2247, 1227, 8004, 1125, 17920, 24638, 121, 3450, 1281, 23408, 1188, 1518, 1320, 1107, 6713, 1136, 21028, 1496, 1227, 488, 124, 130, 1317, 488, 125, 126, 2822, 488, 125, 123, 124, 124, 121, 106, 106, 157, 1234, 18036, 106, 106, 159, 1164, 1629, 5904, 17252, 3553, 30284, 106, 106, 5449, 1483, 1125, 6969, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1187, 1125, 17920, 17252, 3553, 30284, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1741, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1164, 1629, 5904, 24638, 106, 106, 5449, 1483, 1125, 6969, 106, 106, 5449, 1483, 12244, 106, 106, 159, 1187, 1125, 17920, 24638, 106, 106, 29433, 8480, 106, 106, 11730, 245, 1210, 1741, 106, 106, 5449, 1483, 12244, 106, 106, 30489, 3282, 190, 488, 106, 106, 1686, 10034, 1460, 1257, 1252, 18700, 1314, 1186, 6964, 24638, 106, 106, 6379, 1334, 1197, 3320, 13841, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 106, 106, 10853, 488, 106, 106, 125, 123, 124, 124, 106, 155, 1630, 28615, 106, 2330, 1916, 11249, 1227, 2854, 1186, 28237, 106, 158, 1715, 1186, 2822, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 154, 197, 17174, 1518, 7304, 1519, 2433, 5252, 1170, 488, 124, 128, 2749, 488, 124, 131, 132, 125, 1188, 26855, 1167, 19956, 1188, 19910, 1125, 488, 131, 125, 2165, 1170, 488, 125, 125, 3141, 488, 124, 132, 130, 127, 1188, 25518, 1569, 1136, 1810, 1299, 1189, 30771, 17911, 1125, 1282, 1450, 2460, 280, 194, 2036, 106, 106, 141, 11741, 488, 106, 153, 3193, 1125, 16275, 196, 2086, 1350, 197, 17174, 22589, 1214, 1188, 19543, 8353, 17371, 2460, 1307, 17568, 2585, 1527, 24935, 1282, 23715, 1167, 2368, 25537, 1188, 1158, 28273, 9400, 2596, 1653, 488, 124, 132, 124, 124, 119, 1527, 20116, 1112, 1282, 15092, 1227, 30771, 1167, 21359, 11682, 1518, 280, 28644, 280, 24212, 1174, 1136, 1810, 1357, 12708, 1909, 7790, 8758, 12891, 1187, 1457, 106, 106, 140, 2136, 2782, 1913, 4468, 1334, 3134, 1313, 1318, 7177, 2620, 1350, 197, 17174, 18583, 1186, 17911, 1197, 2958, 3963, 9400, 1856, 4212, 120, 6887, 1167, 2255, 8103, 2008, 1441, 19297, 1167, 1909, 7860, 2958, 1234, 1429, 1188, 1158, 14621, 22497, 2460, 4816, 182, 1219, 22796, 16900, 7358, 1126, 1334, 7207, 1524, 1576, 1653, 488, 124, 132, 125, 125, 119, 1527, 21450, 1561, 3453, 19928, 16499, 2859, 158, 10831, 1163, 1321, 1255, 26363, 1418, 16900, 1165, 1733, 1167, 18963, 1524, 1576, 1653, 4083, 1309, 15430, 1119, 1125, 1158, 20727, 4792, 2038, 1125, 1158, 2460, 4816, 182, 1219, 1810, 1350, 197, 17174, 7354, 2205, 11637, 1469, 1173, 2988, 1889, 192, 1204, 2955, 1119, 1387, 280, 9827, 1167, 12554, 1137, 15984, 1173, 8072, 121, 1768, 1299, 2445, 12465, 244, 1125, 18992, 1167, 24950, 12858, 22270, 106, 106, 154, 197, 17174, 24935, 1408, 7959, 1170, 2720, 1167, 1282, 5738, 2082, 1186, 1574, 1259, 1176, 25675, 1167, 19619, 1197, 15644, 1925, 1856, 1248, 7656, 23123, 1265, 1167, 1306, 5597, 185, 1306, 3402, 121, 106, 106, 158, 1104, 8176, 5031, 2123, 13988, 2859, 159, 1569, 1174, 10103, 2460, 1943, 186, 1418, 16900, 16165, 4058, 24212, 1174, 10103, 15198, 1167, 2859, 147, 4436, 1173, 7392, 192, 1518, 1259, 26363, 1418, 16900, 7529, 5540, 2429, 4192, 1524, 1576, 1350, 197, 17174, 21450, 2445, 2859, 164, 5224, 1579, 31821, 1105, 1418, 16900, 21358, 1304, 8681, 1125, 30898, 26384, 1189, 27366, 1125, 31232, 4399, 1346, 1167, 1125, 6344, 1441, 19297, 1125, 1248, 7656, 23123, 8255, 1306, 5597, 185, 1306, 3402, 1167, 16855, 6604, 5523, 7112, 106, 106, 2524, 488, 124, 132, 127, 129, 1188, 488, 124, 132, 128, 127, 119, 1527, 5562, 1313, 1318, 5715, 4685, 1313, 1207, 30898, 1125, 1252, 14183, 31403, 6229, 1193, 7497, 116, 1167, 11680, 1125, 5087, 20153, 1313, 11786, 1527, 11261, 176, 1158, 13498, 1125, 1158, 3020, 1167, 1207, 13187, 1429, 1125, 1158, 2492, 18501, 5907, 106, 106, 154, 197, 17174, 19859, 1186, 488, 124, 132, 130, 127, 1188, 19910, 1125, 488, 131, 125, 8793, 6280, 16360, 1281, 5209, 1317, 4020, 1205, 2298, 192, 4793, 1188, 25518, 1569, 10103, 1313, 1158, 7139, 4306, 1125, 1518, 1119, 1193, 2554, 1810, 1158, 3837, 2585, 1527, 1152, 1416, 1178, 1125, 488, 124, 132, 129, 129, 1188, 1561, 4541, 121, 106, 106, 28870, 5825, 488, 106, 488, 106, 24411, 1626, 10144, 1842, 1161, 25518, 1569, 10103, 106, 1350, 197, 17174, 1518, 7304, 1519, 180, 25481, 11679, 9845, 28832, 1983, 1865, 116, 106, 106, 155, 186, 4326, 17911, 1227, 23841, 6298, 106, 6535, 30941, 17911, 1227, 23841, 6298, 106, 6535, 30941, 1125, 28273, 106, 6535, 30941, 2757, 1282, 5738, 2082, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1282, 23715, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1170, 2720, 2079, 1170, 17911, 106, 153, 3400, 1188, 26855, 106, 153, 3400, 1186, 2749, 488, 124, 131, 132, 125, 106, 31133, 1467, 1186, 3141, 488, 124, 132, 130, 127, 106, 31133, 1467, 1188, 488, 131, 125, 8793, 32001, 488, 106, 32000, 20036, 106, 154, 197, 17174, 1518, 7304, 1519, 2433, 5252, 1170, 488, 124, 128, 2749, 488, 124, 131, 132, 125, 1188, 26855, 1167, 19956, 1188, 19910, 1125, 488, 131, 125, 2165, 1170, 488, 125, 125, 3141, 488, 124, 132, 130, 127, 1188, 25518, 1569, 1136, 1810, 1299, 1189, 30771, 17911, 1125, 1282, 1450, 2460, 280, 194, 2036, 106, 106, 141, 11741, 488, 106, 153, 3193, 1125, 16275, 196, 2086, 1350, 197, 17174, 22589, 1214, 1188, 19543, 8353, 17371, 2460, 1307, 17568, 2585, 1527, 24935, 1282, 23715, 1167, 2368, 25537, 1188, 1158, 28273, 9400, 2596, 1653, 488, 124, 132, 124, 124, 119, 1527, 20116, 1112, 1282, 15092, 1227, 30771, 1167, 21359, 11682, 1518, 280, 28644, 280, 24212, 1174, 1136, 1810, 1357, 12708, 1909, 7790, 8758, 12891, 1187, 1457, 106, 106, 140, 2136, 2782, 1913, 4468, 1334, 3134, 1313, 1318, 7177, 2620, 1350, 197, 17174, 18583, 1186, 17911, 1197, 2958, 3963, 9400, 1856, 4212, 120, 6887, 1167, 2255, 8103, 2008, 1441, 19297, 1167, 1909, 7860, 2958, 1234, 1429, 1188, 1158, 14621, 22497, 2460, 4816, 182, 1219, 22796, 16900, 7358, 1126, 1334, 7207, 1524, 1576, 1653, 488, 124, 132, 125, 125, 119, 1527, 21450, 1561, 3453, 19928, 16499, 2859, 158, 10831, 1163, 1321, 1255, 26363, 1418, 16900, 1165, 1733, 1167, 18963, 1524, 1576, 1653, 4083, 1309, 15430, 1119, 1125, 1158, 20727, 4792, 2038, 1125, 1158, 2460, 4816, 182, 1219, 1810, 1350, 197, 17174, 7354, 2205, 11637, 1469, 1173, 2988, 1889, 192, 1204, 2955, 1119, 1387, 280, 9827, 1167, 12554, 1137, 15984, 1173, 8072, 121, 1768, 1299, 2445, 12465, 244, 1125, 18992, 1167, 24950, 12858, 22270, 106, 106, 154, 197, 17174, 24935, 1408, 7959, 1170, 2720, 1167, 1282, 5738, 2082, 1186, 1574, 1259, 1176, 25675, 1167, 19619, 1197, 15644, 1925, 1856, 1248, 7656, 23123, 1265, 1167, 1306, 5597, 185, 1306, 3402, 121, 106, 106, 158, 1104, 8176, 5031, 2123, 13988, 2859, 159, 1569, 1174, 10103, 2460, 1943, 186, 1418, 16900, 16165, 4058, 24212, 1174, 10103, 15198, 1167, 2859, 147, 4436, 1173, 7392, 192, 1518, 1259, 26363, 1418, 16900, 7529, 5540, 2429, 4192, 1524, 1576, 1350, 197, 17174, 21450, 2445, 2859, 164, 5224, 1579, 31821, 1105, 1418, 16900, 21358, 1304, 8681, 1125, 30898, 26384, 1189, 27366, 1125, 31232, 4399, 1346, 1167, 1125, 6344, 1441, 19297, 1125, 1248, 7656, 23123, 8255, 1306, 5597, 185, 1306, 3402, 1167, 16855, 6604, 5523, 7112, 106, 106, 2524, 488, 124, 132, 127, 129, 1188, 488, 124, 132, 128, 127, 119, 1527, 5562, 1313, 1318, 5715, 4685, 1313, 1207, 30898, 1125, 1252, 14183, 31403, 6229, 1193, 7497, 116, 1167, 11680, 1125, 5087, 20153, 1313, 11786, 1527, 11261, 176, 1158, 13498, 1125, 1158, 3020, 1167, 1207, 13187, 1429, 1125, 1158, 2492, 18501, 5907, 106, 106, 154, 197, 17174, 19859, 1186, 488, 124, 132, 130, 127, 1188, 19910, 1125, 488, 131, 125, 8793, 6280, 16360, 1281, 5209, 1317, 4020, 1205, 2298, 192, 4793, 1188, 25518, 1569, 10103, 1313, 1158, 7139, 4306, 1125, 1518, 1119, 1193, 2554, 1810, 1158, 3837, 2585, 1527, 1152, 1416, 1178, 1125, 488, 124, 132, 129, 129, 1188, 1561, 4541, 121, 106, 106, 28870, 5825, 488, 106, 488, 106, 24411, 1626, 10144, 1842, 1161, 25518, 1569, 10103, 106, 1350, 197, 17174, 1518, 7304, 1519, 180, 25481, 11679, 9845, 28832, 1983, 1865, 116, 106, 106, 155, 186, 4326, 17911, 1227, 23841, 6298, 106, 6535, 30941, 17911, 1227, 23841, 6298, 106, 6535, 30941, 1125, 28273, 106, 6535, 30941, 2757, 1282, 5738, 2082, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1282, 23715, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1170, 2720, 2079, 1170, 17911, 106, 153, 3400, 1188, 26855, 106, 153, 3400, 1186, 2749, 488, 124, 131, 132, 125, 106, 31133, 1467, 1186, 3141, 488, 124, 132, 130, 127, 106, 31133, 1467, 1188, 488, 131, 125, 8793, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 154, 197, 17174, 1518, 7304, 1519, 2433, 5252, 1170, 488, 124, 128, 2749, 488, 124, 131, 132, 125, 1188, 26855, 1167, 19956, 1188, 19910, 1125, 488, 131, 125, 2165, 1170, 488, 125, 125, 3141, 488, 124, 132, 130, 127, 1188, 25518, 1569, 1136, 1810, 1299, 1189, 30771, 17911, 1125, 1282, 1450, 2460, 280, 194, 2036, 106, 106, 141, 11741, 488, 106, 153, 3193, 1125, 16275, 196, 2086, 1350, 197, 17174, 22589, 1214, 1188, 19543, 8353, 17371, 2460, 1307, 17568, 2585, 1527, 24935, 1282, 23715, 1167, 2368, 25537, 1188, 1158, 28273, 9400, 2596, 1653, 488, 124, 132, 124, 124, 119, 1527, 20116, 1112, 1282, 15092, 1227, 30771, 1167, 21359, 11682, 1518, 280, 28644, 280, 24212, 1174, 1136, 1810, 1357, 12708, 1909, 7790, 8758, 12891, 1187, 1457, 106, 106, 140, 2136, 2782, 1913, 4468, 1334, 3134, 1313, 1318, 7177, 2620, 1350, 197, 17174, 18583, 1186, 17911, 1197, 2958, 3963, 9400, 1856, 4212, 120, 6887, 1167, 2255, 8103, 2008, 1441, 19297, 1167, 1909, 7860, 2958, 1234, 1429, 1188, 1158, 14621, 22497, 2460, 4816, 182, 1219, 22796, 16900, 7358, 1126, 1334, 7207, 1524, 1576, 1653, 488, 124, 132, 125, 125, 119, 1527, 21450, 1561, 3453, 19928, 16499, 2859, 158, 10831, 1163, 1321, 1255, 26363, 1418, 16900, 1165, 1733, 1167, 18963, 1524, 1576, 1653, 4083, 1309, 15430, 1119, 1125, 1158, 20727, 4792, 2038, 1125, 1158, 2460, 4816, 182, 1219, 1810, 1350, 197, 17174, 7354, 2205, 11637, 1469, 1173, 2988, 1889, 192, 1204, 2955, 1119, 1387, 280, 9827, 1167, 12554, 1137, 15984, 1173, 8072, 121, 1768, 1299, 2445, 12465, 244, 1125, 18992, 1167, 24950, 12858, 22270, 106, 106, 154, 197, 17174, 24935, 1408, 7959, 1170, 2720, 1167, 1282, 5738, 2082, 1186, 1574, 1259, 1176, 25675, 1167, 19619, 1197, 15644, 1925, 1856, 1248, 7656, 23123, 1265, 1167, 1306, 5597, 185, 1306, 3402, 121, 106, 106, 158, 1104, 8176, 5031, 2123, 13988, 2859, 159, 1569, 1174, 10103, 2460, 1943, 186, 1418, 16900, 16165, 4058, 24212, 1174, 10103, 15198, 1167, 2859, 147, 4436, 1173, 7392, 192, 1518, 1259, 26363, 1418, 16900, 7529, 5540, 2429, 4192, 1524, 1576, 1350, 197, 17174, 21450, 2445, 2859, 164, 5224, 1579, 31821, 1105, 1418, 16900, 21358, 1304, 8681, 1125, 30898, 26384, 1189, 27366, 1125, 31232, 4399, 1346, 1167, 1125, 6344, 1441, 19297, 1125, 1248, 7656, 23123, 8255, 1306, 5597, 185, 1306, 3402, 1167, 16855, 6604, 5523, 7112, 106, 106, 2524, 488, 124, 132, 127, 129, 1188, 488, 124, 132, 128, 127, 119, 1527, 5562, 1313, 1318, 5715, 4685, 1313, 1207, 30898, 1125, 1252, 14183, 31403, 6229, 1193, 7497, 116, 1167, 11680, 1125, 5087, 20153, 1313, 11786, 1527, 11261, 176, 1158, 13498, 1125, 1158, 3020, 1167, 1207, 13187, 1429, 1125, 1158, 2492, 18501, 5907, 106, 106, 154, 197, 17174, 19859, 1186, 488, 124, 132, 130, 127, 1188, 19910, 1125, 488, 131, 125, 8793, 6280, 16360, 1281, 5209, 1317, 4020, 1205, 2298, 192, 4793, 1188, 25518, 1569, 10103, 1313, 1158, 7139, 4306, 1125, 1518, 1119, 1193, 2554, 1810, 1158, 3837, 2585, 1527, 1152, 1416, 1178, 1125, 488, 124, 132, 129, 129, 1188, 1561, 4541, 121, 106, 106, 28870, 5825, 488, 106, 488, 106, 24411, 1626, 10144, 1842, 1161, 25518, 1569, 10103, 106, 1350, 197, 17174, 1518, 7304, 1519, 180, 25481, 11679, 9845, 28832, 1983, 1865, 116, 106, 106, 155, 186, 4326, 17911, 1227, 23841, 6298, 106, 6535, 30941, 17911, 1227, 23841, 6298, 106, 6535, 30941, 1125, 28273, 106, 6535, 30941, 2757, 1282, 5738, 2082, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1282, 23715, 2079, 1170, 17911, 106, 6535, 30941, 2757, 1170, 2720, 2079, 1170, 17911, 106, 153, 3400, 1188, 26855, 106, 153, 3400, 1186, 2749, 488, 124, 131, 132, 125, 106, 31133, 1467, 1186, 3141, 488, 124, 132, 130, 127, 106, 31133, 1467, 1188, 488, 131, 125, 8793, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 149, 3093, 6375, 2021, 1140, 3835, 1157, 184, 1242, 1929, 119, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 1323, 1192, 1180, 3212, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 116, 1299, 1189, 25130, 12671, 1167, 1189, 25332, 1713, 175, 2634, 11431, 106, 106, 5164, 1299, 1318, 21272, 2205, 10604, 1256, 1561, 3734, 1167, 1256, 1158, 3908, 1294, 187, 1314, 1186, 3188, 3850, 106, 106, 141, 11741, 106, 149, 3093, 6375, 2021, 1140, 1139, 6146, 1313, 1318, 4446, 24950, 12858, 27984, 1768, 22589, 1214, 1188, 1192, 1180, 3212, 2585, 1527, 14882, 1189, 19860, 1125, 13822, 12904, 1731, 8288, 7441, 106, 106, 158, 1105, 3151, 17299, 2368, 1109, 2228, 1126, 12141, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 1357, 1299, 11108, 7508, 1215, 1189, 7674, 20360, 1571, 6048, 24950, 12858, 22270, 6218, 13315, 1256, 1207, 11733, 9016, 1197, 13809, 7706, 1309, 1158, 14318, 4058, 1167, 1158, 2478, 9956, 16499, 2442, 1309, 1158, 13677, 26839, 1167, 4428, 3881, 1150, 6502, 4654, 106, 106, 5164, 7354, 1189, 10736, 1313, 2008, 10742, 1346, 7041, 4885, 1170, 19041, 2941, 1461, 1231, 15689, 1681, 7551, 20912, 1318, 2217, 21163, 1300, 1170, 1198, 2323, 2460, 3100, 1527, 2368, 22473, 1188, 2435, 1256, 13056, 1187, 1207, 2802, 6238, 3143, 1125, 4615, 4975, 1318, 5963, 1125, 1158, 3734, 121, 106, 106, 158, 1104, 2866, 15354, 2072, 1906, 1309, 1909, 7669, 3939, 1215, 1813, 1313, 1207, 1408, 15706, 3360, 1813, 1125, 1594, 3391, 19108, 2435, 17272, 1318, 3828, 7015, 6957, 106, 106, 157, 1129, 1568, 1188, 1192, 1180, 3212, 1527, 17279, 1318, 5715, 5625, 1125, 4052, 1125, 10982, 2936, 12043, 1440, 1357, 4275, 1439, 16970, 6768, 1594, 8263, 1125, 25332, 1571, 5999, 15901, 1227, 3728, 5519, 1180, 7017, 106, 106, 1686, 488, 124, 132, 124, 132, 119, 1527, 15458, 14765, 1197, 1408, 15706, 3360, 1813, 1713, 175, 2634, 20585, 20555, 6678, 172, 2769, 241, 3521, 4741, 1256, 1158, 9293, 1125, 1158, 3908, 13359, 1167, 1227, 4803, 2923, 20205, 1960, 19101, 7664, 21246, 1234, 1215, 1170, 12784, 22270, 106, 106, 17971, 3285, 1197, 488, 126, 123, 4092, 1357, 2419, 3310, 1300, 1158, 11094, 2335, 2511, 2510, 1125, 9337, 8017, 1318, 6277, 1125, 26045, 6375, 2021, 3561, 1188, 3862, 1125, 1282, 12442, 25781, 14372, 25339, 11539, 1968, 1119, 3266, 106, 106, 1686, 488, 124, 132, 128, 123, 1299, 16512, 1158, 25161, 17802, 5519, 1180, 3212, 1256, 5685, 6375, 2021, 1140, 1264, 5300, 2102, 23478, 1167, 2487, 1527, 1299, 1170, 3151, 8328, 121, 106, 106, 5164, 19859, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 119, 26639, 9733, 3144, 2335, 3688, 2585, 1527, 6400, 1370, 1304, 7197, 3711, 1207, 1152, 283, 1250, 1469, 1197, 1675, 5068, 106, 106, 282, 19760, 106, 30684, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 7311, 2982, 14187, 1165, 2163, 2178, 17618, 488, 124, 131, 132, 128, 121, 106, 140, 2426, 1109, 11872, 7829, 3100, 1253, 5108, 1306, 4970, 1291, 2433, 488, 124, 131, 132, 131, 121, 106, 30684, 10956, 244, 1227, 20295, 1125, 4307, 184, 1242, 1929, 1257, 6175, 244, 1215, 1189, 2260, 1174, 1705, 1126, 5958, 1207, 1152, 1390, 1473, 1125, 1165, 1307, 6664, 11598, 1124, 14477, 1125, 9810, 7106, 1167, 2855, 1120, 14477, 1192, 1180, 3212, 14187, 1233, 2486, 27520, 488, 124, 132, 123, 123, 121, 106, 3562, 1352, 15280, 5519, 1180, 1148, 1186, 27095, 1192, 1180, 3212, 14621, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 125, 128, 121, 106, 2330, 28669, 1713, 175, 2634, 18605, 1192, 1180, 3212, 24630, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 126, 123, 121, 106, 3562, 3728, 1126, 5519, 1531, 1810, 8929, 16303, 1253, 5108, 1867, 4115, 1531, 26169, 488, 125, 3035, 3145, 488, 124, 132, 126, 125, 120, 126, 126, 121, 106, 19818, 13565, 1713, 175, 2634, 5485, 11188, 119, 1253, 5108, 1125, 15361, 10458, 7048, 3145, 488, 124, 132, 126, 130, 121, 106, 3562, 1352, 15280, 7482, 1180, 1148, 1571, 1113, 243, 2495, 1554, 1125, 26135, 11980, 1173, 1262, 3212, 7311, 2982, 27760, 121, 9207, 17943, 2114, 488, 124, 132, 128, 124, 121, 106, 2606, 3497, 1517, 1167, 1158, 7577, 5964, 1186, 1352, 15280, 7482, 1180, 3212, 4273, 2547, 19007, 3561, 21229, 7473, 1149, 1659, 488, 124, 132, 128, 125, 121, 106, 106, 141, 13449, 106, 158, 19013, 25532, 1374, 2433, 26045, 6375, 2021, 7112, 31361, 2426, 1109, 11872, 5613, 1276, 185, 2430, 2620, 1158, 10272, 4134, 1167, 1158, 14212, 19533, 1186, 1352, 15280, 5519, 1180, 1148, 1835, 1170, 26851, 1167, 1170, 23841, 19565, 1209, 193, 189, 2806, 1253, 5108, 15767, 1203, 180, 1673, 6760, 183, 24542, 1810, 488, 124, 132, 132, 125, 121, 106, 106, 8036, 2072, 106, 141, 4807, 9889, 17802, 5519, 1180, 1148, 106, 158, 20744, 1713, 175, 2634, 1262, 1197, 27604, 106, 161, 15280, 5519, 1180, 1148, 12253, 1125, 27539, 1139, 1473, 1313, 1158, 1352, 15280, 5519, 1180, 1148, 106, 106, 28870, 5825, 106, 153, 3400, 1188, 4307, 184, 1242, 1929, 16346, 1902, 16509, 1188, 1158, 1352, 15280, 5519, 1180, 1148, 16346, 1902, 25339, 1227, 23841, 6298, 13820, 185, 12671, 17779, 10272, 12987, 17779, 2605, 31958, 1262, 17779, 19101, 1438, 17653, 1752, 1416, 1369, 17779, 1266, 3400, 1170, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 6064, 1467, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 6064, 1467, 1188, 1192, 1180, 1148, 6064, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 32000, 20036, 106, 149, 3093, 6375, 2021, 1140, 3835, 1157, 184, 1242, 1929, 119, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 1323, 1192, 1180, 3212, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 116, 1299, 1189, 25130, 12671, 1167, 1189, 25332, 1713, 175, 2634, 11431, 106, 106, 5164, 1299, 1318, 21272, 2205, 10604, 1256, 1561, 3734, 1167, 1256, 1158, 3908, 1294, 187, 1314, 1186, 3188, 3850, 106, 106, 141, 11741, 488, 106, 149, 3093, 6375, 2021, 1140, 1139, 6146, 1313, 1318, 4446, 24950, 12858, 27984, 1768, 22589, 1214, 1188, 1192, 1180, 3212, 2585, 1527, 14882, 1189, 19860, 1125, 13822, 12904, 1731, 8288, 7441, 106, 106, 158, 1105, 3151, 17299, 2368, 1109, 2228, 1126, 12141, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 1357, 1299, 11108, 7508, 1215, 1189, 7674, 20360, 1571, 6048, 24950, 12858, 22270, 6218, 13315, 1256, 1207, 11733, 9016, 1197, 13809, 7706, 1309, 1158, 14318, 4058, 1167, 1158, 2478, 9956, 16499, 2442, 1309, 1158, 13677, 26839, 1167, 4428, 3881, 1150, 6502, 4654, 106, 106, 5164, 7354, 1189, 10736, 1313, 2008, 10742, 1346, 7041, 4885, 1170, 19041, 2941, 1461, 1231, 15689, 1681, 7551, 20912, 1318, 2217, 21163, 1300, 1170, 1198, 2323, 2460, 3100, 1527, 2368, 22473, 1188, 2435, 1256, 13056, 1187, 1207, 2802, 6238, 3143, 1125, 4615, 4975, 1318, 5963, 1125, 1158, 3734, 121, 106, 106, 158, 1104, 2866, 15354, 2072, 1906, 1309, 1909, 7669, 3939, 1215, 1813, 1313, 1207, 1408, 15706, 3360, 1813, 1125, 1594, 3391, 19108, 2435, 17272, 1318, 3828, 7015, 6957, 106, 106, 157, 1129, 1568, 1188, 1192, 1180, 3212, 1527, 17279, 1318, 5715, 5625, 1125, 4052, 1125, 10982, 2936, 12043, 1440, 1357, 4275, 1439, 16970, 6768, 1594, 8263, 1125, 25332, 1571, 5999, 15901, 1227, 3728, 5519, 1180, 7017, 106, 106, 1686, 488, 124, 132, 124, 132, 119, 1527, 15458, 14765, 1197, 1408, 15706, 3360, 1813, 1713, 175, 2634, 20585, 20555, 6678, 172, 2769, 241, 3521, 4741, 1256, 1158, 9293, 1125, 1158, 3908, 13359, 1167, 1227, 4803, 2923, 20205, 1960, 19101, 7664, 21246, 1234, 1215, 1170, 12784, 22270, 106, 106, 17971, 3285, 1197, 488, 126, 123, 4092, 1357, 2419, 3310, 1300, 1158, 11094, 2335, 2511, 2510, 1125, 9337, 8017, 1318, 6277, 1125, 26045, 6375, 2021, 3561, 1188, 3862, 1125, 1282, 12442, 25781, 14372, 25339, 11539, 1968, 1119, 3266, 106, 106, 1686, 488, 124, 132, 128, 123, 1299, 16512, 1158, 25161, 17802, 5519, 1180, 3212, 1256, 5685, 6375, 2021, 1140, 1264, 5300, 2102, 23478, 1167, 2487, 1527, 1299, 1170, 3151, 8328, 121, 106, 106, 5164, 19859, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 119, 26639, 9733, 3144, 2335, 3688, 2585, 1527, 6400, 1370, 1304, 7197, 3711, 1207, 1152, 283, 1250, 1469, 1197, 1675, 5068, 106, 106, 282, 19760, 488, 106, 12141, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 7311, 2982, 14187, 1165, 2163, 2178, 17618, 488, 124, 131, 132, 128, 121, 106, 2068, 12858, 11872, 7829, 3100, 1253, 5108, 1306, 4970, 1291, 2433, 488, 124, 131, 132, 131, 121, 106, 12141, 10956, 244, 1227, 20295, 1125, 4307, 184, 1242, 1929, 1257, 6175, 244, 1215, 1189, 2260, 1174, 1705, 1126, 5958, 1207, 1152, 1390, 1473, 1125, 1165, 1307, 6664, 11598, 1124, 14477, 1125, 9810, 7106, 1167, 2855, 1120, 14477, 1192, 1180, 3212, 14187, 1233, 2486, 27520, 488, 124, 132, 123, 123, 121, 106, 1643, 1352, 15280, 5519, 1180, 1148, 1186, 27095, 1192, 1180, 3212, 14621, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 125, 128, 121, 106, 1539, 28669, 1713, 175, 2634, 18605, 1192, 1180, 3212, 24630, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 126, 123, 121, 106, 1643, 3728, 1126, 5519, 1531, 1810, 8929, 16303, 1253, 5108, 1867, 4115, 1531, 26169, 488, 125, 3035, 3145, 488, 124, 132, 126, 125, 120, 126, 126, 121, 106, 8080, 13565, 1713, 175, 2634, 5485, 11188, 119, 1253, 5108, 1125, 15361, 10458, 7048, 3145, 488, 124, 132, 126, 130, 121, 106, 1643, 1352, 15280, 7482, 1180, 1148, 1571, 1113, 243, 2495, 1554, 1125, 26135, 11980, 1173, 1262, 3212, 7311, 2982, 27760, 121, 9207, 17943, 2114, 488, 124, 132, 128, 124, 121, 106, 1548, 3497, 1517, 1167, 1158, 7577, 5964, 1186, 1352, 15280, 7482, 1180, 3212, 4273, 2547, 19007, 3561, 21229, 7473, 1149, 1659, 488, 124, 132, 128, 125, 121, 106, 106, 141, 13449, 488, 106, 10837, 1154, 25532, 1374, 2433, 26045, 6375, 2021, 7112, 31361, 2426, 1109, 11872, 5613, 1276, 185, 2430, 2620, 1158, 10272, 4134, 1167, 1158, 14212, 19533, 1186, 1352, 15280, 5519, 1180, 1148, 1835, 1170, 26851, 1167, 1170, 23841, 19565, 1209, 193, 189, 2806, 1253, 5108, 15767, 1203, 180, 1673, 6760, 183, 24542, 1810, 488, 124, 132, 132, 125, 121, 106, 106, 8036, 2072, 488, 106, 25161, 17802, 5519, 1180, 1148, 488, 106, 31983, 1713, 175, 2634, 1262, 1197, 27604, 488, 106, 1352, 15280, 5519, 1180, 1148, 106, 12253, 1125, 27539, 1139, 1473, 1313, 1158, 1352, 15280, 5519, 1180, 1148, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1188, 4307, 184, 1242, 1929, 106, 155, 7849, 1902, 16509, 1188, 1158, 1352, 15280, 5519, 1180, 1148, 106, 155, 7849, 1902, 25339, 1227, 23841, 6298, 106, 144, 1276, 185, 12671, 17779, 106, 5449, 1190, 12987, 17779, 106, 224, 31958, 1262, 17779, 19101, 1438, 106, 141, 4807, 1752, 1416, 1369, 17779, 106, 153, 3400, 1170, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 106, 31133, 1467, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 106, 31133, 1467, 1188, 1192, 1180, 1148, 106, 31133, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 3093, 6375, 2021, 1140, 3835, 1157, 184, 1242, 1929, 119, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 1323, 1192, 1180, 3212, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 116, 1299, 1189, 25130, 12671, 1167, 1189, 25332, 1713, 175, 2634, 11431, 106, 106, 5164, 1299, 1318, 21272, 2205, 10604, 1256, 1561, 3734, 1167, 1256, 1158, 3908, 1294, 187, 1314, 1186, 3188, 3850, 106, 106, 141, 11741, 488, 106, 149, 3093, 6375, 2021, 1140, 1139, 6146, 1313, 1318, 4446, 24950, 12858, 27984, 1768, 22589, 1214, 1188, 1192, 1180, 3212, 2585, 1527, 14882, 1189, 19860, 1125, 13822, 12904, 1731, 8288, 7441, 106, 106, 158, 1105, 3151, 17299, 2368, 1109, 2228, 1126, 12141, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 1357, 1299, 11108, 7508, 1215, 1189, 7674, 20360, 1571, 6048, 24950, 12858, 22270, 6218, 13315, 1256, 1207, 11733, 9016, 1197, 13809, 7706, 1309, 1158, 14318, 4058, 1167, 1158, 2478, 9956, 16499, 2442, 1309, 1158, 13677, 26839, 1167, 4428, 3881, 1150, 6502, 4654, 106, 106, 5164, 7354, 1189, 10736, 1313, 2008, 10742, 1346, 7041, 4885, 1170, 19041, 2941, 1461, 1231, 15689, 1681, 7551, 20912, 1318, 2217, 21163, 1300, 1170, 1198, 2323, 2460, 3100, 1527, 2368, 22473, 1188, 2435, 1256, 13056, 1187, 1207, 2802, 6238, 3143, 1125, 4615, 4975, 1318, 5963, 1125, 1158, 3734, 121, 106, 106, 158, 1104, 2866, 15354, 2072, 1906, 1309, 1909, 7669, 3939, 1215, 1813, 1313, 1207, 1408, 15706, 3360, 1813, 1125, 1594, 3391, 19108, 2435, 17272, 1318, 3828, 7015, 6957, 106, 106, 157, 1129, 1568, 1188, 1192, 1180, 3212, 1527, 17279, 1318, 5715, 5625, 1125, 4052, 1125, 10982, 2936, 12043, 1440, 1357, 4275, 1439, 16970, 6768, 1594, 8263, 1125, 25332, 1571, 5999, 15901, 1227, 3728, 5519, 1180, 7017, 106, 106, 1686, 488, 124, 132, 124, 132, 119, 1527, 15458, 14765, 1197, 1408, 15706, 3360, 1813, 1713, 175, 2634, 20585, 20555, 6678, 172, 2769, 241, 3521, 4741, 1256, 1158, 9293, 1125, 1158, 3908, 13359, 1167, 1227, 4803, 2923, 20205, 1960, 19101, 7664, 21246, 1234, 1215, 1170, 12784, 22270, 106, 106, 17971, 3285, 1197, 488, 126, 123, 4092, 1357, 2419, 3310, 1300, 1158, 11094, 2335, 2511, 2510, 1125, 9337, 8017, 1318, 6277, 1125, 26045, 6375, 2021, 3561, 1188, 3862, 1125, 1282, 12442, 25781, 14372, 25339, 11539, 1968, 1119, 3266, 106, 106, 1686, 488, 124, 132, 128, 123, 1299, 16512, 1158, 25161, 17802, 5519, 1180, 3212, 1256, 5685, 6375, 2021, 1140, 1264, 5300, 2102, 23478, 1167, 2487, 1527, 1299, 1170, 3151, 8328, 121, 106, 106, 5164, 19859, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 119, 26639, 9733, 3144, 2335, 3688, 2585, 1527, 6400, 1370, 1304, 7197, 3711, 1207, 1152, 283, 1250, 1469, 1197, 1675, 5068, 106, 106, 282, 19760, 488, 106, 12141, 10956, 244, 1125, 4307, 184, 1242, 1929, 1167, 1125, 1909, 3997, 1285, 7311, 2982, 14187, 1165, 2163, 2178, 17618, 488, 124, 131, 132, 128, 121, 106, 2068, 12858, 11872, 7829, 3100, 1253, 5108, 1306, 4970, 1291, 2433, 488, 124, 131, 132, 131, 121, 106, 12141, 10956, 244, 1227, 20295, 1125, 4307, 184, 1242, 1929, 1257, 6175, 244, 1215, 1189, 2260, 1174, 1705, 1126, 5958, 1207, 1152, 1390, 1473, 1125, 1165, 1307, 6664, 11598, 1124, 14477, 1125, 9810, 7106, 1167, 2855, 1120, 14477, 1192, 1180, 3212, 14187, 1233, 2486, 27520, 488, 124, 132, 123, 123, 121, 106, 1643, 1352, 15280, 5519, 1180, 1148, 1186, 27095, 1192, 1180, 3212, 14621, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 125, 128, 121, 106, 1539, 28669, 1713, 175, 2634, 18605, 1192, 1180, 3212, 24630, 6678, 172, 2769, 241, 3521, 4741, 488, 124, 132, 126, 123, 121, 106, 1643, 3728, 1126, 5519, 1531, 1810, 8929, 16303, 1253, 5108, 1867, 4115, 1531, 26169, 488, 125, 3035, 3145, 488, 124, 132, 126, 125, 120, 126, 126, 121, 106, 8080, 13565, 1713, 175, 2634, 5485, 11188, 119, 1253, 5108, 1125, 15361, 10458, 7048, 3145, 488, 124, 132, 126, 130, 121, 106, 1643, 1352, 15280, 7482, 1180, 1148, 1571, 1113, 243, 2495, 1554, 1125, 26135, 11980, 1173, 1262, 3212, 7311, 2982, 27760, 121, 9207, 17943, 2114, 488, 124, 132, 128, 124, 121, 106, 1548, 3497, 1517, 1167, 1158, 7577, 5964, 1186, 1352, 15280, 7482, 1180, 3212, 4273, 2547, 19007, 3561, 21229, 7473, 1149, 1659, 488, 124, 132, 128, 125, 121, 106, 106, 141, 13449, 488, 106, 10837, 1154, 25532, 1374, 2433, 26045, 6375, 2021, 7112, 31361, 2426, 1109, 11872, 5613, 1276, 185, 2430, 2620, 1158, 10272, 4134, 1167, 1158, 14212, 19533, 1186, 1352, 15280, 5519, 1180, 1148, 1835, 1170, 26851, 1167, 1170, 23841, 19565, 1209, 193, 189, 2806, 1253, 5108, 15767, 1203, 180, 1673, 6760, 183, 24542, 1810, 488, 124, 132, 132, 125, 121, 106, 106, 8036, 2072, 488, 106, 25161, 17802, 5519, 1180, 1148, 488, 106, 31983, 1713, 175, 2634, 1262, 1197, 27604, 488, 106, 1352, 15280, 5519, 1180, 1148, 106, 12253, 1125, 27539, 1139, 1473, 1313, 1158, 1352, 15280, 5519, 1180, 1148, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1188, 4307, 184, 1242, 1929, 106, 155, 7849, 1902, 16509, 1188, 1158, 1352, 15280, 5519, 1180, 1148, 106, 155, 7849, 1902, 25339, 1227, 23841, 6298, 106, 144, 1276, 185, 12671, 17779, 106, 5449, 1190, 12987, 17779, 106, 224, 31958, 1262, 17779, 19101, 1438, 106, 141, 4807, 1752, 1416, 1369, 17779, 106, 153, 3400, 1170, 488, 124, 126, 2578, 488, 124, 131, 130, 124, 106, 31133, 1467, 1170, 488, 124, 1107, 2749, 488, 124, 132, 128, 127, 106, 31133, 1467, 1188, 1192, 1180, 1148, 106, 31133, 1467, 1188, 488, 131, 125, 2165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 149, 1136, 4520, 8878, 2564, 28962, 5005, 263, 24051, 1170, 14357, 488, 125, 127, 119, 488, 125, 123, 123, 127, 1188, 28950, 288, 1443, 1186, 25350, 8297, 1214, 116, 1299, 1189, 10952, 5843, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 121, 1768, 28160, 1317, 8536, 1304, 1478, 12161, 106, 106, 141, 11741, 106, 106, 20616, 4096, 1186, 5878, 106, 4499, 244, 1317, 1306, 142, 28950, 288, 8117, 1527, 1110, 19680, 1256, 1207, 10431, 1125, 6346, 1125, 1282, 2899, 6214, 23084, 5308, 197, 10914, 1186, 3698, 19005, 119, 1227, 1306, 142, 1306, 9254, 1168, 21043, 236, 25756, 244, 1186, 19933, 2603, 1214, 2648, 1227, 1198, 5900, 1186, 4444, 15613, 1188, 3862, 1125, 488, 125, 123, 124, 132, 121, 1653, 488, 125, 123, 125, 124, 119, 1527, 28995, 1186, 12546, 1313, 1158, 14305, 23624, 1469, 1170, 1198, 5900, 121, 106, 106, 5164, 1299, 28588, 1317, 488, 125, 4802, 8824, 1215, 1207, 7413, 2624, 1125, 17477, 2391, 1227, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 488, 125, 123, 125, 125, 121, 10976, 1469, 488, 287, 30675, 1266, 1320, 1168, 119, 1357, 1110, 1913, 2762, 245, 3134, 488, 124, 1243, 1317, 3983, 2391, 1227, 2076, 2762, 245, 1210, 3301, 3342, 23706, 1207, 8878, 15876, 1485, 4716, 1913, 2762, 245, 1210, 1234, 1207, 1408, 4392, 1285, 20040, 1199, 13784, 13096, 1293, 236, 6042, 248, 5544, 1357, 1110, 1913, 2762, 245, 3134, 488, 126, 9710, 1317, 3983, 1186, 488, 125, 123, 123, 123, 1215, 1170, 17047, 1227, 23985, 1190, 2036, 1548, 6942, 488, 124, 126, 119, 488, 125, 123, 125, 125, 119, 1527, 12368, 1594, 5234, 30652, 1469, 1207, 7413, 2624, 1125, 13127, 3850, 106, 106, 20616, 4096, 10903, 1768, 11404, 1158, 25350, 8297, 1214, 1317, 4041, 4578, 121, 1768, 5909, 1910, 1571, 5266, 190, 1572, 1145, 1457, 1768, 13300, 1188, 1594, 3151, 16277, 1227, 2854, 12546, 1186, 488, 125, 123, 125, 124, 121, 106, 106, 5164, 1299, 28588, 1256, 1207, 10765, 19411, 1125, 488, 125, 123, 125, 125, 1167, 18900, 1158, 24722, 1125, 21683, 1469, 1158, 25350, 8297, 4654, 1768, 8827, 10600, 25460, 1186, 10600, 3904, 1297, 1768, 6252, 2069, 25460, 2487, 3977, 1125, 1158, 14789, 488, 127, 120, 123, 3691, 1188, 1158, 26274, 2391, 1227, 3904, 1256, 1158, 8483, 14801, 106, 106, 159, 8529, 1473, 1167, 1166, 1767, 1392, 13383, 106, 106, 149, 4814, 19411, 488, 125, 123, 125, 125, 1257, 106, 20235, 6005, 2222, 1836, 1227, 25985, 106, 20235, 6005, 9184, 1836, 1227, 25985, 106, 12688, 6005, 10952, 106, 12688, 1313, 10796, 1197, 20318, 1227, 25985, 106, 106, 2003, 12224, 2616, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 121, 106, 106, 1686, 5878, 106, 106, 199, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 2848, 1198, 5900, 2848, 14305, 23624, 2848, 488, 126, 124, 4949, 488, 128, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 126, 126, 4949, 488, 124, 131, 4949, 488, 125, 4949, 488, 128, 4949, 488, 130, 4949, 488, 131, 1547, 120, 1547, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2848, 7413, 2624, 1125, 17477, 2848, 1200, 153, 147, 2848, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 199, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 17971, 4041, 4578, 106, 106, 199, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 128, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 128, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 1547, 120, 1547, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 126, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 1547, 120, 1547, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 125, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 488, 123, 4949, 17256, 4475, 109, 199, 4919, 244, 4538, 1894, 16147, 1547, 120, 1547, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 17391, 4264, 13461, 1460, 2848, 488, 126, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 16880, 2320, 1227, 3274, 1222, 1547, 120, 1547, 488, 125, 123, 125, 125, 2848, 9079, 136, 4475, 199, 149, 4814, 19411, 2848, 488, 130, 4949, 488, 130, 4949, 488, 123, 4949, 488, 130, 4949, 488, 123, 4949, 1563, 128, 4949, 9079, 136, 4475, 199, 9915, 2961, 1125, 21683, 1547, 120, 1547, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 131, 4949, 488, 126, 4949, 488, 129, 4949, 488, 132, 4949, 488, 125, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 106, 10853, 106, 106, 153, 3400, 1186, 2829, 488, 125, 123, 123, 127, 1266, 3400, 1188, 28950, 288, 1443, 7473, 172, 5725, 1125, 19219, 1300, 17866, 1321, 12590, 4578, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 1321, 12590, 1125, 19219, 1300, 17866, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 9915, 4586, 244, 1125, 21683, 13461, 1460, 3438, 1651, 2558, 9915, 4586, 244, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 1321, 12590, 1227, 1198, 5900, 11759, 13248, 1300, 17866, 116, 11824, 4394, 1317, 3983, 1317, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 1539, 3420, 1125, 2762, 245, 1210, 1272, 1197, 7413, 2624, 1125, 17477, 114, 32001, 488, 106, 32000, 20036, 106, 149, 1136, 4520, 8878, 2564, 28962, 5005, 263, 24051, 1170, 488, 5696, 488, 125, 127, 119, 488, 125, 123, 123, 127, 1188, 28950, 288, 1443, 1186, 25350, 8297, 1214, 116, 1299, 1189, 10952, 5843, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 121, 1768, 28160, 1317, 8536, 1304, 1478, 12161, 106, 106, 141, 11741, 106, 106, 20616, 4096, 1186, 5878, 488, 106, 4499, 244, 1317, 1306, 142, 28950, 288, 8117, 1527, 1110, 19680, 1256, 1207, 10431, 1125, 6346, 1125, 1282, 2899, 6214, 23084, 5308, 197, 10914, 1186, 3698, 19005, 119, 1227, 1306, 142, 1306, 9254, 1168, 21043, 236, 25756, 244, 1186, 19933, 2603, 1214, 2648, 1227, 1198, 5900, 1186, 4444, 15613, 1188, 3862, 1125, 488, 125, 123, 124, 132, 121, 1653, 488, 125, 123, 125, 124, 119, 1527, 28995, 1186, 12546, 1313, 1158, 14305, 23624, 1469, 1170, 1198, 5900, 121, 106, 106, 5164, 1299, 28588, 1317, 488, 488, 125, 4802, 8824, 1215, 1207, 7413, 2624, 1125, 17477, 2391, 1227, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 488, 125, 123, 125, 125, 121, 10976, 1469, 488, 287, 30675, 1266, 1320, 1168, 119, 1357, 1110, 1913, 2762, 245, 3134, 488, 488, 124, 1243, 1317, 3983, 2391, 1227, 2076, 2762, 245, 1210, 3301, 3342, 23706, 1207, 8878, 15876, 1485, 4716, 1913, 2762, 245, 1210, 1234, 1207, 1408, 4392, 1285, 20040, 1199, 13784, 13096, 1293, 236, 6042, 248, 5544, 1357, 1110, 1913, 2762, 245, 3134, 488, 488, 126, 9710, 1317, 3983, 1186, 488, 125, 123, 123, 123, 1215, 1170, 17047, 1227, 23985, 1190, 2036, 1548, 6942, 488, 124, 126, 119, 488, 125, 123, 125, 125, 119, 1527, 12368, 1594, 5234, 30652, 1469, 1207, 7413, 2624, 1125, 13127, 3850, 106, 106, 20616, 4096, 10903, 106, 5164, 11404, 1158, 25350, 8297, 1214, 1317, 4041, 4578, 121, 1768, 5909, 1910, 1571, 5266, 190, 1572, 1145, 1457, 1768, 13300, 1188, 1594, 3151, 16277, 1227, 2854, 12546, 1186, 488, 125, 123, 125, 124, 121, 488, 106, 106, 5164, 1299, 28588, 1256, 1207, 10765, 19411, 1125, 488, 125, 123, 125, 125, 1167, 18900, 1158, 24722, 1125, 21683, 1469, 1158, 25350, 8297, 4654, 1768, 8827, 10600, 25460, 1186, 10600, 3904, 1297, 1768, 6252, 2069, 25460, 2487, 3977, 1125, 1158, 14789, 488, 127, 120, 123, 3691, 1188, 1158, 26274, 2391, 1227, 3904, 1256, 1158, 8483, 14801, 106, 106, 159, 8529, 1473, 1167, 1166, 1767, 1392, 13383, 106, 106, 149, 4814, 19411, 488, 106, 125, 123, 125, 125, 1257, 488, 106, 20235, 6005, 2222, 1836, 1227, 25985, 106, 20235, 6005, 9184, 1836, 1227, 25985, 106, 12688, 6005, 10952, 106, 12688, 1313, 10796, 1197, 20318, 1227, 25985, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 121, 106, 106, 1686, 5878, 488, 106, 106, 199, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 2848, 1198, 5900, 2848, 14305, 23624, 2848, 488, 126, 124, 4949, 488, 128, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 126, 126, 4949, 488, 124, 131, 4949, 488, 125, 4949, 488, 128, 4949, 488, 130, 4949, 488, 131, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2848, 7413, 2624, 1125, 17477, 2848, 1200, 153, 147, 2848, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 199, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 17971, 4041, 4578, 488, 106, 106, 199, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 128, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 128, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 199, 120, 106, 199, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 126, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 125, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 488, 123, 4949, 17256, 4475, 109, 199, 4919, 244, 4538, 1894, 16147, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 17391, 4264, 13461, 1460, 2848, 488, 126, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 16880, 2320, 1227, 3274, 1222, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 9079, 136, 4475, 199, 149, 4814, 19411, 2848, 488, 130, 4949, 488, 130, 4949, 488, 123, 4949, 488, 130, 4949, 488, 123, 4949, 1563, 128, 4949, 9079, 136, 4475, 199, 488, 9915, 2961, 1125, 21683, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 131, 4949, 488, 126, 4949, 488, 129, 4949, 488, 132, 4949, 488, 125, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 106, 10853, 106, 106, 153, 3400, 1186, 2829, 488, 125, 123, 123, 127, 106, 153, 3400, 1188, 28950, 288, 1443, 106, 5335, 172, 5725, 1125, 19219, 1300, 17866, 106, 149, 12590, 4578, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 106, 149, 12590, 1125, 19219, 1300, 17866, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 106, 152, 1740, 4586, 244, 1125, 21683, 13461, 1460, 3438, 1651, 2558, 106, 152, 1740, 4586, 244, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 106, 149, 12590, 1227, 1198, 5900, 11759, 13248, 1300, 17866, 116, 106, 155, 26503, 4394, 1317, 3983, 1317, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 106, 2330, 3420, 1125, 2762, 245, 1210, 1272, 1197, 7413, 2624, 1125, 17477, 114, 488, 488, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 1136, 4520, 8878, 2564, 28962, 5005, 263, 24051, 1170, 488, 5696, 488, 125, 127, 119, 488, 125, 123, 123, 127, 1188, 28950, 288, 1443, 1186, 25350, 8297, 1214, 116, 1299, 1189, 10952, 5843, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 121, 1768, 28160, 1317, 8536, 1304, 1478, 12161, 106, 106, 141, 11741, 106, 106, 20616, 4096, 1186, 5878, 488, 106, 4499, 244, 1317, 1306, 142, 28950, 288, 8117, 1527, 1110, 19680, 1256, 1207, 10431, 1125, 6346, 1125, 1282, 2899, 6214, 23084, 5308, 197, 10914, 1186, 3698, 19005, 119, 1227, 1306, 142, 1306, 9254, 1168, 21043, 236, 25756, 244, 1186, 19933, 2603, 1214, 2648, 1227, 1198, 5900, 1186, 4444, 15613, 1188, 3862, 1125, 488, 125, 123, 124, 132, 121, 1653, 488, 125, 123, 125, 124, 119, 1527, 28995, 1186, 12546, 1313, 1158, 14305, 23624, 1469, 1170, 1198, 5900, 121, 106, 106, 5164, 1299, 28588, 1317, 488, 488, 125, 4802, 8824, 1215, 1207, 7413, 2624, 1125, 17477, 2391, 1227, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 488, 125, 123, 125, 125, 121, 10976, 1469, 488, 287, 30675, 1266, 1320, 1168, 119, 1357, 1110, 1913, 2762, 245, 3134, 488, 488, 124, 1243, 1317, 3983, 2391, 1227, 2076, 2762, 245, 1210, 3301, 3342, 23706, 1207, 8878, 15876, 1485, 4716, 1913, 2762, 245, 1210, 1234, 1207, 1408, 4392, 1285, 20040, 1199, 13784, 13096, 1293, 236, 6042, 248, 5544, 1357, 1110, 1913, 2762, 245, 3134, 488, 488, 126, 9710, 1317, 3983, 1186, 488, 125, 123, 123, 123, 1215, 1170, 17047, 1227, 23985, 1190, 2036, 1548, 6942, 488, 124, 126, 119, 488, 125, 123, 125, 125, 119, 1527, 12368, 1594, 5234, 30652, 1469, 1207, 7413, 2624, 1125, 13127, 3850, 106, 106, 20616, 4096, 10903, 106, 5164, 11404, 1158, 25350, 8297, 1214, 1317, 4041, 4578, 121, 1768, 5909, 1910, 1571, 5266, 190, 1572, 1145, 1457, 1768, 13300, 1188, 1594, 3151, 16277, 1227, 2854, 12546, 1186, 488, 125, 123, 125, 124, 121, 488, 106, 106, 5164, 1299, 28588, 1256, 1207, 10765, 19411, 1125, 488, 125, 123, 125, 125, 1167, 18900, 1158, 24722, 1125, 21683, 1469, 1158, 25350, 8297, 4654, 1768, 8827, 10600, 25460, 1186, 10600, 3904, 1297, 1768, 6252, 2069, 25460, 2487, 3977, 1125, 1158, 14789, 488, 127, 120, 123, 3691, 1188, 1158, 26274, 2391, 1227, 3904, 1256, 1158, 8483, 14801, 106, 106, 159, 8529, 1473, 1167, 1166, 1767, 1392, 13383, 106, 106, 149, 4814, 19411, 488, 106, 125, 123, 125, 125, 1257, 488, 106, 20235, 6005, 2222, 1836, 1227, 25985, 106, 20235, 6005, 9184, 1836, 1227, 25985, 106, 12688, 6005, 10952, 106, 12688, 1313, 10796, 1197, 20318, 1227, 25985, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 121, 106, 106, 1686, 5878, 488, 106, 106, 199, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 2848, 1198, 5900, 2848, 14305, 23624, 2848, 488, 126, 124, 4949, 488, 128, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 126, 126, 4949, 488, 124, 131, 4949, 488, 125, 4949, 488, 128, 4949, 488, 130, 4949, 488, 131, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 120, 125, 123, 125, 126, 2848, 7413, 2624, 1125, 17477, 2848, 1200, 153, 147, 2848, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 199, 488, 126, 132, 2848, 488, 127, 2848, 488, 129, 2848, 488, 124, 123, 2848, 488, 126, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 17971, 4041, 4578, 488, 106, 106, 199, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 128, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 128, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 199, 120, 106, 199, 488, 125, 123, 125, 124, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 125, 4949, 1323, 126, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 24638, 2848, 488, 125, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 488, 123, 4949, 17256, 4475, 109, 199, 4919, 244, 4538, 1894, 16147, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 17391, 4264, 13461, 1460, 2848, 488, 126, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 123, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 16880, 2320, 1227, 3274, 1222, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 9079, 136, 4475, 199, 149, 4814, 19411, 2848, 488, 130, 4949, 488, 130, 4949, 488, 123, 4949, 488, 130, 4949, 488, 123, 4949, 1563, 128, 4949, 9079, 136, 4475, 199, 488, 9915, 2961, 1125, 21683, 106, 199, 120, 106, 199, 488, 125, 123, 125, 125, 2848, 17256, 4475, 109, 199, 26389, 1227, 2854, 2848, 488, 131, 4949, 488, 126, 4949, 488, 129, 4949, 488, 132, 4949, 488, 125, 4949, 1563, 124, 4949, 17256, 4475, 109, 199, 21740, 1477, 2247, 2320, 106, 106, 10853, 106, 106, 153, 3400, 1186, 2829, 488, 125, 123, 123, 127, 106, 153, 3400, 1188, 28950, 288, 1443, 106, 5335, 172, 5725, 1125, 19219, 1300, 17866, 106, 149, 12590, 4578, 3438, 1651, 2558, 1125, 19219, 1300, 17866, 106, 149, 12590, 1125, 19219, 1300, 17866, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 106, 152, 1740, 4586, 244, 1125, 21683, 13461, 1460, 3438, 1651, 2558, 106, 152, 1740, 4586, 244, 1571, 10765, 19411, 29659, 1125, 488, 125, 123, 125, 125, 106, 149, 12590, 1227, 1198, 5900, 11759, 13248, 1300, 17866, 116, 106, 155, 26503, 4394, 1317, 3983, 1317, 2762, 245, 1210, 1272, 30652, 1313, 1158, 1200, 153, 147, 106, 2330, 3420, 1125, 2762, 245, 1210, 1272, 1197, 7413, 2624, 1125, 17477, 114, 488, 488, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 140, 6645, 1346, 2571, 13445, 3366, 2571, 1132, 1766, 119, 2571, 1819, 5363, 10645, 4115, 19548, 119, 4115, 21914, 1192, 1195, 1107, 8616, 2068, 1124, 8616, 13075, 119, 2068, 16598, 2982, 2068, 1208, 178, 3879, 119, 1192, 1380, 1965, 11359, 4951, 1192, 17345, 1285, 2068, 1766, 119, 4148, 1132, 2564, 2590, 1810, 1192, 2082, 3603, 1192, 2082, 1810, 18065, 28050, 1922, 13717, 3879, 119, 1192, 234, 2590, 119, 1192, 2394, 119, 17181, 1112, 1762, 1192, 1278, 1669, 2620, 30496, 6761, 119, 1233, 1495, 1142, 10645, 1233, 3595, 1118, 2982, 5763, 1216, 8255, 3032, 1246, 1203, 4790, 3261, 26206, 179, 1796, 119, 7071, 9992, 1165, 1740, 1766, 119, 1539, 1728, 2357, 3984, 5899, 2324, 1259, 1137, 7763, 1165, 1819, 3603, 1165, 1728, 1401, 10645, 2324, 1651, 3366, 14163, 11493, 14783, 4280, 8496, 2904, 189, 8255, 488, 226, 1766, 119, 1254, 6619, 28399, 10645, 9521, 5578, 119, 20652, 8255, 1252, 12874, 13774, 6556, 1772, 2196, 5596, 1772, 25855, 119, 21408, 119, 1252, 13291, 1603, 3879, 119, 1252, 1203, 1154, 5242, 1293, 8789, 2114, 1293, 2162, 4280, 1293, 1819, 1195, 1659, 16704, 193, 1795, 18272, 1293, 1462, 4076, 119, 16839, 1216, 2394, 119, 1293, 1201, 3706, 119, 17945, 246, 191, 3100, 3276, 1176, 2086, 5614, 1603, 1120, 3561, 17185, 4748, 5614, 1766, 119, 1293, 1414, 4076, 119, 1293, 11098, 4280, 1293, 2506, 1810, 29954, 1276, 1174, 2506, 119, 17945, 246, 2340, 119, 15236, 1334, 4048, 3276, 1762, 5922, 2066, 119, 1306, 2719, 3603, 14363, 119, 1306, 1444, 2357, 6767, 10536, 2982, 25610, 1118, 2982, 1306, 5597, 6037, 2133, 2394, 6388, 119, 2133, 2394, 10914, 119, 1306, 1142, 3693, 1306, 27427, 18930, 119, 1306, 27427, 12579, 115, 1120, 1496, 1306, 1796, 4076, 119, 19048, 2086, 17416, 4076, 119, 2848, 1105, 1810, 10069, 21987, 3122, 1219, 7615, 9147, 3603, 30480, 3378, 1518, 1164, 1320, 179, 1796, 119, 21086, 2114, 26622, 4748, 31336, 20101, 5620, 3366, 8415, 2620, 5620, 8222, 1918, 7792, 17426, 1126, 3603, 3335, 1810, 10073, 6388, 119, 1266, 1172, 194, 2334, 119, 1266, 12957, 1142, 10645, 1350, 9649, 4741, 24354, 16156, 1350, 1479, 1819, 2620, 3225, 148, 17381, 1350, 13133, 1132, 5242, 5450, 5578, 119, 8227, 178, 3879, 119, 1248, 2288, 5567, 1248, 1538, 2357, 7162, 4748, 7162, 28050, 1248, 1172, 8255, 11825, 1124, 8616, 11825, 2113, 5242, 11825, 1479, 3693, 10217, 3794, 1173, 1205, 1136, 5242, 13159, 178, 177, 1164, 2754, 1173, 1205, 3590, 28605, 1173, 1205, 2590, 119, 1173, 1456, 196, 2340, 119, 18545, 257, 177, 2590, 119, 7278, 26300, 1142, 1810, 1545, 1356, 243, 5650, 1410, 4119, 1109, 10645, 1410, 1506, 1205, 1120, 3561, 12189, 1451, 6388, 119, 11528, 190, 26687, 13848, 1164, 17566, 3728, 1129, 2982, 3728, 1356, 1762, 1352, 1203, 1885, 3100, 13206, 12579, 1810, 13206, 8442, 13206, 1935, 1506, 119, 1325, 1265, 189, 9992, 20692, 1845, 119, 16860, 1885, 249, 2754, 1325, 1120, 1195, 5567, 1325, 1833, 3603, 1671, 1172, 29428, 1671, 193, 1457, 106, 106, 141, 4807, 1307, 189, 242, 1479, 1214, 106, 106, 146, 5597, 1460, 114, 32001, 488, 106, 32000, 20036, 106, 140, 6645, 8566, 2571, 13445, 3366, 2571, 1132, 1766, 119, 2571, 1819, 5363, 10645, 4115, 19548, 119, 4115, 185, 8566, 1192, 1195, 1107, 8616, 2068, 1124, 8616, 13075, 119, 2068, 16598, 2982, 2068, 1208, 178, 3879, 119, 1192, 1380, 1965, 11359, 4951, 1192, 1728, 250, 1285, 2068, 1766, 119, 4148, 1132, 2564, 2590, 1810, 1192, 2082, 3603, 1192, 2082, 1810, 18065, 28050, 1922, 13717, 3879, 119, 15701, 2590, 119, 1192, 2394, 119, 17181, 1112, 1762, 1192, 1278, 183, 2620, 30496, 6761, 119, 1233, 1495, 1142, 10645, 1233, 3595, 1118, 2982, 5763, 1216, 8255, 3032, 1246, 1203, 4790, 3261, 26206, 179, 1796, 119, 7071, 9992, 1165, 1740, 1766, 119, 1539, 1728, 2357, 3984, 5899, 2324, 1259, 1137, 7763, 1165, 1819, 3603, 1165, 1728, 1401, 10645, 2324, 1651, 3366, 14163, 11493, 14783, 4280, 8496, 2904, 189, 8255, 2605, 1766, 119, 1254, 6619, 28399, 10645, 9521, 5578, 119, 20652, 8255, 1252, 12874, 13774, 6556, 1772, 2196, 5596, 1772, 25855, 119, 21408, 119, 1252, 13291, 1603, 3879, 119, 1252, 1203, 1154, 5242, 1293, 8789, 2114, 1293, 2162, 4280, 1293, 1819, 1195, 1659, 16704, 193, 1795, 18272, 1293, 1462, 4076, 119, 16839, 1216, 2394, 119, 1293, 1201, 3706, 119, 17945, 246, 191, 3100, 3276, 1176, 2086, 5614, 1603, 1120, 3561, 17185, 4748, 5614, 1766, 119, 1293, 1414, 4076, 119, 1293, 11098, 4280, 1293, 2506, 1810, 29954, 1276, 1174, 2506, 119, 17945, 246, 2340, 119, 15236, 1334, 4048, 3276, 1762, 5922, 2066, 119, 1306, 2719, 3603, 14363, 119, 1306, 1444, 2357, 6767, 10536, 2982, 25610, 1118, 2982, 1306, 5597, 6037, 2133, 2394, 6388, 119, 2133, 2394, 10914, 119, 1306, 1142, 3693, 1306, 27427, 18930, 119, 1306, 27427, 12579, 115, 1120, 1496, 1306, 1796, 4076, 119, 19048, 2086, 17416, 4076, 119, 1768, 1105, 1810, 10069, 21987, 3122, 1219, 7615, 9147, 3603, 30480, 3378, 1518, 1164, 1320, 179, 1796, 119, 21086, 2114, 26622, 4748, 31336, 20101, 5620, 3366, 8415, 2620, 5620, 8222, 1918, 7792, 17426, 1126, 3603, 3335, 1810, 10073, 6388, 119, 1266, 1172, 194, 2334, 119, 1266, 12957, 1142, 10645, 1350, 9649, 4741, 24354, 16156, 1350, 1479, 1819, 2620, 3225, 5930, 1965, 1350, 13133, 1132, 5242, 5450, 5578, 119, 1248, 2240, 178, 3879, 119, 1248, 2288, 5567, 7162, 2357, 7162, 4748, 7162, 28050, 1248, 1172, 8255, 11825, 1124, 8616, 11825, 2113, 5242, 11825, 1479, 3693, 10217, 3794, 1173, 1205, 1136, 5242, 13159, 178, 177, 1164, 2754, 1173, 1205, 3590, 28605, 1173, 1205, 2590, 119, 1173, 1456, 196, 2340, 119, 18545, 257, 177, 2590, 119, 7278, 26300, 1142, 1810, 1545, 1356, 243, 5650, 1410, 4119, 1109, 10645, 1410, 1506, 1205, 1120, 3561, 12189, 1451, 6388, 119, 11528, 190, 26687, 13848, 1164, 17566, 3728, 1129, 2982, 3728, 1356, 1762, 1352, 1203, 1885, 3100, 13206, 12579, 1810, 13206, 8442, 13206, 1935, 1506, 119, 1325, 1265, 189, 9992, 20692, 1845, 119, 16860, 177, 1164, 2754, 1325, 1120, 1195, 5567, 1325, 1289, 3603, 1671, 1172, 29428, 1671, 193, 1457, 106, 106, 141, 13449, 106, 106, 146, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 140, 6645, 8566, 2571, 13445, 3366, 2571, 1132, 1766, 119, 2571, 1819, 5363, 10645, 4115, 19548, 119, 4115, 185, 8566, 1192, 1195, 1107, 8616, 2068, 1124, 8616, 13075, 119, 2068, 16598, 2982, 2068, 1208, 178, 3879, 119, 1192, 1380, 1965, 11359, 4951, 1192, 1728, 250, 1285, 2068, 1766, 119, 4148, 1132, 2564, 2590, 1810, 1192, 2082, 3603, 1192, 2082, 1810, 18065, 28050, 1922, 13717, 3879, 119, 15701, 2590, 119, 1192, 2394, 119, 17181, 1112, 1762, 1192, 1278, 183, 2620, 30496, 6761, 119, 1233, 1495, 1142, 10645, 1233, 3595, 1118, 2982, 5763, 1216, 8255, 3032, 1246, 1203, 4790, 3261, 26206, 179, 1796, 119, 7071, 9992, 1165, 1740, 1766, 119, 1539, 1728, 2357, 3984, 5899, 2324, 1259, 1137, 7763, 1165, 1819, 3603, 1165, 1728, 1401, 10645, 2324, 1651, 3366, 14163, 11493, 14783, 4280, 8496, 2904, 189, 8255, 2605, 1766, 119, 1254, 6619, 28399, 10645, 9521, 5578, 119, 20652, 8255, 1252, 12874, 13774, 6556, 1772, 2196, 5596, 1772, 25855, 119, 21408, 119, 1252, 13291, 1603, 3879, 119, 1252, 1203, 1154, 5242, 1293, 8789, 2114, 1293, 2162, 4280, 1293, 1819, 1195, 1659, 16704, 193, 1795, 18272, 1293, 1462, 4076, 119, 16839, 1216, 2394, 119, 1293, 1201, 3706, 119, 17945, 246, 191, 3100, 3276, 1176, 2086, 5614, 1603, 1120, 3561, 17185, 4748, 5614, 1766, 119, 1293, 1414, 4076, 119, 1293, 11098, 4280, 1293, 2506, 1810, 29954, 1276, 1174, 2506, 119, 17945, 246, 2340, 119, 15236, 1334, 4048, 3276, 1762, 5922, 2066, 119, 1306, 2719, 3603, 14363, 119, 1306, 1444, 2357, 6767, 10536, 2982, 25610, 1118, 2982, 1306, 5597, 6037, 2133, 2394, 6388, 119, 2133, 2394, 10914, 119, 1306, 1142, 3693, 1306, 27427, 18930, 119, 1306, 27427, 12579, 115, 1120, 1496, 1306, 1796, 4076, 119, 19048, 2086, 17416, 4076, 119, 1768, 1105, 1810, 10069, 21987, 3122, 1219, 7615, 9147, 3603, 30480, 3378, 1518, 1164, 1320, 179, 1796, 119, 21086, 2114, 26622, 4748, 31336, 20101, 5620, 3366, 8415, 2620, 5620, 8222, 1918, 7792, 17426, 1126, 3603, 3335, 1810, 10073, 6388, 119, 1266, 1172, 194, 2334, 119, 1266, 12957, 1142, 10645, 1350, 9649, 4741, 24354, 16156, 1350, 1479, 1819, 2620, 3225, 5930, 1965, 1350, 13133, 1132, 5242, 5450, 5578, 119, 1248, 2240, 178, 3879, 119, 1248, 2288, 5567, 7162, 2357, 7162, 4748, 7162, 28050, 1248, 1172, 8255, 11825, 1124, 8616, 11825, 2113, 5242, 11825, 1479, 3693, 10217, 3794, 1173, 1205, 1136, 5242, 13159, 178, 177, 1164, 2754, 1173, 1205, 3590, 28605, 1173, 1205, 2590, 119, 1173, 1456, 196, 2340, 119, 18545, 257, 177, 2590, 119, 7278, 26300, 1142, 1810, 1545, 1356, 243, 5650, 1410, 4119, 1109, 10645, 1410, 1506, 1205, 1120, 3561, 12189, 1451, 6388, 119, 11528, 190, 26687, 13848, 1164, 17566, 3728, 1129, 2982, 3728, 1356, 1762, 1352, 1203, 1885, 3100, 13206, 12579, 1810, 13206, 8442, 13206, 1935, 1506, 119, 1325, 1265, 189, 9992, 20692, 1845, 119, 16860, 177, 1164, 2754, 1325, 1120, 1195, 5567, 1325, 1289, 3603, 1671, 1172, 29428, 1671, 193, 1457, 106, 106, 141, 13449, 106, 106, 146, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 142, 2119, 1318, 7200, 19505, 1586, 172, 1600, 3622, 3556, 29571, 1835, 1170, 488, 130, 1131, 1416, 2408, 488, 125, 123, 124, 129, 1167, 1170, 488, 129, 2829, 488, 125, 123, 124, 130, 1300, 3091, 1183, 1172, 16917, 1833, 1120, 24323, 121, 106, 106, 158, 31751, 106, 6880, 20969, 14995, 1213, 172, 1158, 2492, 1125, 16839, 1216, 1506, 1120, 1167, 15005, 30576, 2069, 6346, 1540, 6397, 1571, 27539, 13288, 6040, 1357, 5179, 6799, 1188, 1281, 7080, 1108, 189, 7000, 9124, 2750, 1823, 15695, 1813, 1329, 187, 7198, 2252, 1167, 12469, 1186, 3812, 1215, 1964, 1111, 2009, 1200, 11149, 184, 1142, 1810, 1357, 1964, 16893, 1667, 2262, 1304, 8087, 121, 8637, 1964, 1781, 1237, 1419, 1167, 1964, 24156, 19650, 1207, 2069, 6346, 5247, 3504, 15597, 1125, 2368, 7197, 1301, 1659, 1723, 1667, 1281, 4212, 2680, 119, 5138, 1281, 4477, 12874, 8714, 11660, 1473, 1167, 4932, 1199, 1309, 14974, 1299, 31591, 121, 1768, 15648, 2069, 18817, 1429, 1188, 2008, 2069, 1540, 6397, 1256, 1281, 8182, 121, 106, 106, 143, 10995, 106, 142, 2078, 1109, 22611, 1383, 1124, 1257, 15005, 7726, 1200, 254, 1326, 197, 106, 24338, 16330, 25061, 1352, 1700, 1141, 1257, 15005, 7726, 26278, 1515, 116, 106, 143, 1214, 3166, 2168, 14183, 1292, 186, 1257, 3122, 1724, 1140, 1306, 4166, 2960, 106, 158, 19013, 1863, 16259, 1257, 16839, 1216, 1506, 1120, 1200, 254, 1326, 197, 106, 150, 1124, 1108, 8929, 19004, 1257, 16839, 1216, 1506, 1120, 26278, 1515, 116, 106, 2330, 18465, 1198, 1562, 1119, 1257, 25083, 9817, 186, 28400, 2603, 244, 106, 151, 1490, 172, 8415, 16330, 1165, 5738, 181, 1141, 1257, 9259, 7602, 1204, 1538, 12703, 106, 143, 1214, 3166, 9491, 197, 6930, 1257, 29083, 2497, 28400, 2603, 244, 106, 153, 1351, 172, 1266, 1289, 1575, 1257, 6453, 175, 1132, 8270, 1306, 4166, 2960, 106, 149, 15207, 27111, 1200, 21010, 1257, 1209, 6645, 1183, 2504, 12748, 144, 2865, 1383, 10205, 462, 1306, 4166, 2960, 106, 149, 1180, 244, 11449, 1165, 7464, 4422, 186, 1257, 25780, 1136, 23529, 28400, 2603, 244, 106, 145, 2395, 9577, 30438, 254, 252, 2715, 1257, 1714, 17512, 31100, 13075, 186, 23056, 19093, 106, 161, 248, 1397, 1121, 31810, 7219, 1199, 1257, 25468, 488, 228, 22321, 9412, 9269, 106, 145, 1608, 11180, 1200, 5834, 1257, 9159, 1202, 1769, 27060, 1350, 13278, 1383, 1119, 106, 150, 1195, 1620, 1269, 1863, 16259, 1257, 1204, 5149, 4173, 1154, 7348, 18768, 252, 5945, 106, 146, 1626, 2544, 4782, 1257, 12748, 145, 1105, 13072, 462, 6293, 248, 12603, 106, 2439, 172, 23976, 5371, 1216, 13096, 1257, 1918, 1276, 172, 2236, 15033, 1141, 106, 159, 1384, 4436, 1248, 4510, 16330, 1257, 8415, 13881, 106, 149, 15207, 31100, 14754, 1374, 1257, 2324, 24927, 106, 151, 1660, 20652, 11180, 5308, 1141, 1257, 1266, 4691, 24989, 6760, 10990, 106, 149, 15207, 1202, 1219, 1728, 1350, 1829, 178, 6930, 1257, 2068, 1897, 9249, 1321, 1124, 1174, 1292, 186, 106, 140, 2643, 2571, 2550, 1257, 16839, 23288, 106, 159, 1384, 4436, 1922, 1475, 186, 1257, 18651, 16099, 14359, 189, 248, 178, 14127, 106, 151, 29801, 3795, 252, 2497, 172, 1257, 20292, 10831, 106, 158, 2694, 9143, 1204, 7192, 1257, 3225, 2621, 186, 7071, 21088, 106, 1428, 1234, 1350, 193, 2295, 186, 1257, 21303, 178, 1284, 106, 149, 15207, 6480, 7494, 1490, 186, 1257, 1248, 1205, 1383, 21620, 106, 151, 11149, 1753, 10445, 14436, 1896, 1141, 1222, 248, 1992, 1257, 23369, 13881, 11825, 4782, 106, 165, 1203, 1724, 18768, 252, 5945, 26590, 1493, 1257, 13635, 1119, 7348, 106, 3681, 6388, 186, 1548, 6930, 1321, 1124, 1174, 1292, 186, 1257, 18208, 12748, 23810, 1202, 1519, 186, 462, 6293, 248, 12603, 106, 140, 1126, 181, 1265, 1150, 3276, 1117, 19389, 1257, 24780, 1233, 1442, 14201, 106, 150, 13853, 8200, 1216, 1292, 6930, 1257, 13659, 1124, 10205, 3318, 3415, 106, 151, 11295, 1266, 4846, 6110, 1257, 1158, 1127, 1632, 106, 149, 192, 4436, 3981, 1248, 248, 186, 1257, 12748, 3562, 9412, 1535, 7531, 172, 462, 106, 143, 1214, 3166, 1922, 2082, 186, 9378, 172, 4854, 1257, 31744, 6760, 10990, 106, 4506, 1187, 4279, 1293, 254, 1232, 197, 1257, 2602, 14535, 106, 5018, 5149, 1165, 7464, 3382, 13598, 16652, 1132, 106, 2439, 172, 29739, 16330, 12611, 244, 12603, 106, 24338, 16330, 10069, 2322, 9339, 186, 106, 106, 31902, 4476, 106, 3562, 4726, 1110, 1253, 244, 29571, 1835, 488, 125, 123, 124, 129, 1167, 488, 125, 123, 124, 130, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 106, 158, 2974, 23170, 16233, 1186, 488, 125, 123, 124, 129, 106, 158, 2974, 23170, 8246, 1277, 1186, 488, 125, 123, 124, 130, 106, 158, 2974, 23170, 1600, 3622, 3556, 1197, 4092, 488, 125, 123, 124, 123, 106, 159, 1140, 19505, 1586, 172, 106, 158, 2974, 23170, 1125, 3091, 1183, 1172, 17282, 2964, 24323, 114, 32001, 488, 106, 32000, 20036, 106, 142, 2119, 1318, 7200, 19505, 1586, 172, 1600, 3622, 3556, 29571, 1835, 1170, 488, 130, 3141, 488, 125, 123, 124, 129, 1167, 1170, 488, 129, 2829, 488, 125, 123, 124, 130, 1300, 3091, 1183, 1172, 17282, 2964, 24323, 121, 106, 106, 158, 31751, 106, 6880, 20969, 14995, 1213, 172, 1158, 2492, 1125, 16839, 1216, 1506, 1120, 1167, 15005, 30576, 2069, 6346, 1114, 21113, 1571, 27539, 13288, 6040, 1357, 5179, 6799, 1188, 1281, 11161, 7000, 9124, 2750, 1823, 15695, 1813, 1329, 187, 7198, 2252, 1167, 12469, 1186, 3812, 1215, 1964, 1111, 2009, 1200, 11149, 184, 1142, 1810, 1357, 1964, 16893, 1667, 2262, 1304, 8087, 121, 8637, 1964, 23280, 1419, 1167, 1964, 24156, 19650, 1207, 2069, 6346, 5247, 3504, 15597, 1125, 2368, 7197, 1562, 1659, 1723, 1667, 1281, 4212, 2680, 119, 5138, 1281, 11512, 1129, 11660, 1473, 1167, 4932, 1199, 1309, 14974, 1299, 31591, 121, 1768, 15648, 2069, 18817, 1429, 1188, 2008, 2069, 1114, 21113, 1256, 1281, 6169, 11456, 106, 106, 143, 10995, 106, 142, 2078, 1109, 22611, 1383, 1124, 1257, 15005, 7726, 1200, 254, 1326, 197, 106, 24338, 16330, 25061, 1352, 1700, 1141, 1257, 15005, 7726, 26278, 1515, 116, 106, 143, 1214, 3166, 2168, 14183, 1292, 186, 1257, 3122, 1724, 1140, 1306, 4166, 2960, 106, 158, 19013, 1863, 16259, 1257, 16839, 1216, 1506, 1120, 1200, 254, 1326, 197, 106, 150, 1124, 1108, 8929, 19004, 1257, 16839, 1216, 1506, 1120, 26278, 1515, 116, 106, 2330, 18465, 1198, 1562, 1119, 1257, 25083, 9817, 186, 1671, 2988, 4568, 106, 151, 1490, 172, 8415, 16330, 1165, 5738, 181, 1141, 1257, 9259, 7602, 1204, 1538, 12703, 106, 143, 1214, 3166, 9491, 197, 6930, 1257, 29083, 2497, 1671, 2988, 4568, 106, 153, 1351, 172, 1266, 1289, 1575, 1257, 6453, 175, 1132, 8270, 1306, 4166, 2960, 106, 149, 15207, 27111, 1200, 21010, 1257, 1209, 6645, 1183, 2504, 12748, 144, 2865, 1383, 10205, 462, 1306, 4166, 2960, 106, 149, 1180, 244, 11449, 1165, 7464, 4422, 186, 1257, 25780, 1136, 23529, 1671, 2988, 4568, 106, 145, 2395, 9577, 30438, 254, 252, 2715, 1257, 1714, 17512, 31100, 13075, 186, 23056, 19093, 106, 161, 248, 1397, 1121, 31810, 7219, 1199, 1257, 25468, 488, 228, 22321, 9412, 9269, 106, 145, 1608, 11180, 1200, 5834, 1257, 9159, 1202, 1769, 27060, 1350, 13278, 1383, 1119, 106, 150, 1195, 1620, 1269, 1863, 16259, 1257, 1204, 5149, 4173, 1154, 7348, 18768, 252, 5945, 106, 146, 1626, 2544, 4782, 1257, 12748, 145, 1105, 13072, 462, 6293, 248, 12603, 106, 2439, 172, 23976, 5371, 1216, 13096, 1257, 1918, 1276, 172, 2236, 15033, 1141, 106, 159, 1384, 4436, 1248, 4510, 16330, 1257, 8415, 13881, 106, 149, 15207, 31100, 14754, 1374, 1257, 2324, 24927, 106, 151, 1660, 20652, 11180, 5308, 1141, 1257, 1266, 4691, 24989, 6760, 10990, 106, 149, 15207, 1202, 1219, 1728, 1350, 1829, 178, 6930, 1257, 2068, 1897, 9249, 1321, 1124, 1174, 1292, 186, 106, 140, 2643, 2571, 2550, 1257, 16839, 23288, 106, 159, 1384, 4436, 1922, 1475, 186, 1257, 18651, 16099, 14359, 189, 248, 178, 14127, 106, 151, 29801, 3795, 252, 2497, 172, 1257, 20292, 10831, 106, 158, 2694, 9143, 1204, 7192, 1257, 3225, 2621, 186, 7071, 21088, 106, 1428, 1234, 1350, 193, 2295, 186, 1257, 21303, 178, 1284, 106, 149, 15207, 6480, 7494, 1490, 186, 1257, 1248, 1205, 1383, 21620, 106, 151, 11149, 1753, 10445, 14436, 1896, 1141, 1222, 248, 1992, 1257, 23369, 13881, 11825, 4782, 106, 165, 1203, 1724, 18768, 252, 5945, 26590, 1493, 1257, 13635, 1119, 7348, 106, 3681, 6388, 186, 1548, 6930, 1321, 1124, 1174, 1292, 186, 1257, 18208, 12748, 23810, 1202, 1519, 186, 462, 6293, 248, 12603, 106, 140, 1126, 181, 1265, 1150, 3276, 1117, 1356, 3416, 1257, 24780, 1233, 1442, 14201, 106, 150, 13853, 8200, 1216, 1292, 6930, 1257, 13659, 1124, 10205, 3318, 3415, 106, 151, 11295, 1266, 4846, 6110, 1257, 1158, 1127, 1632, 106, 149, 192, 4436, 3981, 1248, 248, 186, 1257, 12748, 3562, 9412, 1535, 7531, 172, 462, 106, 143, 1214, 3166, 1922, 2082, 186, 9378, 172, 4854, 1257, 31744, 6760, 10990, 106, 4506, 1187, 4279, 1293, 254, 1232, 197, 1257, 2602, 14535, 106, 5018, 5149, 1165, 7464, 3382, 13598, 16652, 1132, 106, 2439, 172, 29739, 16330, 12611, 244, 12603, 106, 24338, 16330, 10069, 2322, 9339, 186, 106, 106, 31902, 4476, 106, 3562, 4726, 1110, 1913, 29571, 1835, 488, 125, 123, 124, 129, 1167, 488, 125, 123, 124, 130, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 106, 158, 2974, 23170, 16233, 1186, 488, 125, 123, 124, 129, 106, 158, 2974, 23170, 8246, 1277, 1186, 488, 125, 123, 124, 130, 106, 158, 2974, 23170, 1600, 3622, 3556, 1197, 4092, 488, 125, 123, 124, 123, 106, 159, 1140, 19505, 1586, 172, 106, 158, 2974, 23170, 1125, 3091, 1183, 1172, 17282, 2964, 24323, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 2119, 1318, 7200, 19505, 1586, 172, 1600, 3622, 3556, 29571, 1835, 1170, 488, 130, 3141, 488, 125, 123, 124, 129, 1167, 1170, 488, 129, 2829, 488, 125, 123, 124, 130, 1300, 3091, 1183, 1172, 17282, 2964, 24323, 121, 106, 106, 158, 31751, 106, 6880, 20969, 14995, 1213, 172, 1158, 2492, 1125, 16839, 1216, 1506, 1120, 1167, 15005, 30576, 2069, 6346, 1114, 21113, 1571, 27539, 13288, 6040, 1357, 5179, 6799, 1188, 1281, 11161, 7000, 9124, 2750, 1823, 15695, 1813, 1329, 187, 7198, 2252, 1167, 12469, 1186, 3812, 1215, 1964, 1111, 2009, 1200, 11149, 184, 1142, 1810, 1357, 1964, 16893, 1667, 2262, 1304, 8087, 121, 8637, 1964, 23280, 1419, 1167, 1964, 24156, 19650, 1207, 2069, 6346, 5247, 3504, 15597, 1125, 2368, 7197, 1562, 1659, 1723, 1667, 1281, 4212, 2680, 119, 5138, 1281, 11512, 1129, 11660, 1473, 1167, 4932, 1199, 1309, 14974, 1299, 31591, 121, 1768, 15648, 2069, 18817, 1429, 1188, 2008, 2069, 1114, 21113, 1256, 1281, 6169, 11456, 106, 106, 143, 10995, 106, 142, 2078, 1109, 22611, 1383, 1124, 1257, 15005, 7726, 1200, 254, 1326, 197, 106, 24338, 16330, 25061, 1352, 1700, 1141, 1257, 15005, 7726, 26278, 1515, 116, 106, 143, 1214, 3166, 2168, 14183, 1292, 186, 1257, 3122, 1724, 1140, 1306, 4166, 2960, 106, 158, 19013, 1863, 16259, 1257, 16839, 1216, 1506, 1120, 1200, 254, 1326, 197, 106, 150, 1124, 1108, 8929, 19004, 1257, 16839, 1216, 1506, 1120, 26278, 1515, 116, 106, 2330, 18465, 1198, 1562, 1119, 1257, 25083, 9817, 186, 1671, 2988, 4568, 106, 151, 1490, 172, 8415, 16330, 1165, 5738, 181, 1141, 1257, 9259, 7602, 1204, 1538, 12703, 106, 143, 1214, 3166, 9491, 197, 6930, 1257, 29083, 2497, 1671, 2988, 4568, 106, 153, 1351, 172, 1266, 1289, 1575, 1257, 6453, 175, 1132, 8270, 1306, 4166, 2960, 106, 149, 15207, 27111, 1200, 21010, 1257, 1209, 6645, 1183, 2504, 12748, 144, 2865, 1383, 10205, 462, 1306, 4166, 2960, 106, 149, 1180, 244, 11449, 1165, 7464, 4422, 186, 1257, 25780, 1136, 23529, 1671, 2988, 4568, 106, 145, 2395, 9577, 30438, 254, 252, 2715, 1257, 1714, 17512, 31100, 13075, 186, 23056, 19093, 106, 161, 248, 1397, 1121, 31810, 7219, 1199, 1257, 25468, 488, 228, 22321, 9412, 9269, 106, 145, 1608, 11180, 1200, 5834, 1257, 9159, 1202, 1769, 27060, 1350, 13278, 1383, 1119, 106, 150, 1195, 1620, 1269, 1863, 16259, 1257, 1204, 5149, 4173, 1154, 7348, 18768, 252, 5945, 106, 146, 1626, 2544, 4782, 1257, 12748, 145, 1105, 13072, 462, 6293, 248, 12603, 106, 2439, 172, 23976, 5371, 1216, 13096, 1257, 1918, 1276, 172, 2236, 15033, 1141, 106, 159, 1384, 4436, 1248, 4510, 16330, 1257, 8415, 13881, 106, 149, 15207, 31100, 14754, 1374, 1257, 2324, 24927, 106, 151, 1660, 20652, 11180, 5308, 1141, 1257, 1266, 4691, 24989, 6760, 10990, 106, 149, 15207, 1202, 1219, 1728, 1350, 1829, 178, 6930, 1257, 2068, 1897, 9249, 1321, 1124, 1174, 1292, 186, 106, 140, 2643, 2571, 2550, 1257, 16839, 23288, 106, 159, 1384, 4436, 1922, 1475, 186, 1257, 18651, 16099, 14359, 189, 248, 178, 14127, 106, 151, 29801, 3795, 252, 2497, 172, 1257, 20292, 10831, 106, 158, 2694, 9143, 1204, 7192, 1257, 3225, 2621, 186, 7071, 21088, 106, 1428, 1234, 1350, 193, 2295, 186, 1257, 21303, 178, 1284, 106, 149, 15207, 6480, 7494, 1490, 186, 1257, 1248, 1205, 1383, 21620, 106, 151, 11149, 1753, 10445, 14436, 1896, 1141, 1222, 248, 1992, 1257, 23369, 13881, 11825, 4782, 106, 165, 1203, 1724, 18768, 252, 5945, 26590, 1493, 1257, 13635, 1119, 7348, 106, 3681, 6388, 186, 1548, 6930, 1321, 1124, 1174, 1292, 186, 1257, 18208, 12748, 23810, 1202, 1519, 186, 462, 6293, 248, 12603, 106, 140, 1126, 181, 1265, 1150, 3276, 1117, 1356, 3416, 1257, 24780, 1233, 1442, 14201, 106, 150, 13853, 8200, 1216, 1292, 6930, 1257, 13659, 1124, 10205, 3318, 3415, 106, 151, 11295, 1266, 4846, 6110, 1257, 1158, 1127, 1632, 106, 149, 192, 4436, 3981, 1248, 248, 186, 1257, 12748, 3562, 9412, 1535, 7531, 172, 462, 106, 143, 1214, 3166, 1922, 2082, 186, 9378, 172, 4854, 1257, 31744, 6760, 10990, 106, 4506, 1187, 4279, 1293, 254, 1232, 197, 1257, 2602, 14535, 106, 5018, 5149, 1165, 7464, 3382, 13598, 16652, 1132, 106, 2439, 172, 29739, 16330, 12611, 244, 12603, 106, 24338, 16330, 10069, 2322, 9339, 186, 106, 106, 31902, 4476, 106, 3562, 4726, 1110, 1913, 29571, 1835, 488, 125, 123, 124, 129, 1167, 488, 125, 123, 124, 130, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 5825, 106, 106, 158, 2974, 23170, 16233, 1186, 488, 125, 123, 124, 129, 106, 158, 2974, 23170, 8246, 1277, 1186, 488, 125, 123, 124, 130, 106, 158, 2974, 23170, 1600, 3622, 3556, 1197, 4092, 488, 125, 123, 124, 123, 106, 159, 1140, 19505, 1586, 172, 106, 158, 2974, 23170, 1125, 3091, 1183, 1172, 17282, 2964, 24323, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 153, 1507, 28182, 4273, 178, 1150, 1614, 3212, 5252, 1186, 488, 124, 132, 127, 126, 119, 1299, 1189, 1950, 2376, 1354, 8403, 14994, 16877, 5161, 13787, 1167, 6072, 1136, 1317, 23872, 4698, 1322, 22297, 27125, 10840, 1161, 14904, 1496, 2585, 1527, 1110, 1736, 20447, 244, 1170, 10239, 7812, 121, 106, 106, 141, 11741, 106, 153, 244, 1188, 2482, 4524, 2335, 28391, 1222, 11418, 1164, 4273, 178, 1150, 1614, 3212, 13397, 6133, 1793, 16877, 1357, 1110, 2907, 1205, 1568, 1571, 24884, 1527, 1844, 1197, 8787, 1188, 2482, 4524, 2648, 1186, 13111, 2567, 1304, 15934, 5824, 1170, 31927, 10840, 1161, 14904, 4698, 2310, 116, 1125, 19788, 2487, 1527, 5016, 7628, 255, 7749, 1186, 16559, 121, 1768, 1251, 7354, 13787, 1186, 488, 124, 132, 129, 129, 1167, 1251, 14802, 1186, 488, 124, 132, 129, 132, 119, 1282, 15779, 11771, 16964, 30762, 19126, 1188, 30561, 1282, 14740, 30988, 2010, 1519, 4994, 106, 106, 5164, 4212, 1408, 2335, 1151, 1186, 2315, 1186, 488, 124, 132, 131, 125, 120, 131, 126, 119, 1856, 8328, 1227, 6508, 14610, 12813, 1167, 25210, 15811, 9601, 1215, 3699, 28688, 14166, 1119, 3441, 1210, 1112, 1456, 1657, 1768, 1110, 7645, 244, 1469, 16703, 2908, 1707, 1334, 1107, 1300, 1170, 6896, 1951, 2485, 121, 106, 106, 1686, 488, 124, 132, 131, 128, 119, 1527, 14802, 1469, 1170, 23872, 10239, 7812, 119, 1189, 4779, 1125, 3370, 17934, 1188, 1158, 11936, 1167, 1317, 20735, 1167, 1170, 10452, 22571, 488, 125, 123, 123, 123, 121, 1653, 488, 125, 123, 124, 132, 119, 1527, 1299, 4771, 9857, 1313, 1207, 13142, 1125, 17569, 1369, 1254, 1484, 1148, 2982, 26639, 22432, 2782, 27363, 1317, 8328, 1227, 10239, 7812, 119, 10170, 1507, 180, 1209, 1845, 119, 12321, 13495, 26221, 1984, 1197, 29949, 1227, 31135, 1369, 14760, 9599, 1254, 1484, 1148, 2982, 14844, 244, 1125, 9304, 3157, 23398, 1167, 22972, 1256, 8366, 5345, 1125, 8330, 16095, 106, 106, 1686, 488, 124, 132, 132, 125, 119, 1527, 1299, 1736, 20447, 1793, 1227, 12574, 1197, 8552, 1253, 8262, 3515, 1325, 2664, 119, 2585, 1527, 13301, 1318, 21091, 1227, 7236, 22571, 488, 124, 132, 132, 131, 121, 1768, 3146, 2960, 1909, 10862, 1313, 1282, 18956, 23332, 1186, 488, 124, 132, 132, 128, 121, 106, 106, 5164, 1299, 1170, 6606, 1227, 2929, 5182, 1200, 4396, 1273, 1466, 11209, 16900, 1814, 11189, 16780, 1215, 8751, 26384, 1189, 11189, 19126, 1571, 3293, 1253, 8262, 21637, 9505, 21258, 244, 18650, 124, 16900, 18132, 16964, 488, 124, 1524, 1576, 1768, 8135, 9365, 1313, 1197, 1329, 21936, 5386, 1889, 1317, 13793, 19929, 1469, 16703, 2908, 1707, 1334, 1657, 106, 106, 2606, 18650, 124, 5332, 1170, 4367, 25692, 8224, 13223, 31546, 1124, 20031, 1300, 30586, 1121, 2036, 3767, 1859, 1170, 18650, 124, 2918, 1188, 3631, 1125, 1874, 1167, 7354, 2271, 16063, 106, 106, 145, 22137, 106, 5164, 1299, 1170, 15722, 1125, 4172, 4273, 178, 1150, 1614, 3212, 15067, 1230, 8403, 1167, 14698, 23982, 21860, 1125, 18472, 21219, 121, 106, 106, 282, 10843, 106, 119, 488, 124, 132, 132, 128, 119, 1186, 14976, 2576, 24441, 7236, 119, 6927, 1643, 1319, 24990, 488, 124, 132, 132, 128, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 6880, 1924, 3528, 1227, 1939, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 126, 7246, 9892, 8403, 16346, 1902, 13900, 1125, 5444, 12544, 26108, 1136, 12671, 5182, 1200, 4396, 1273, 1466, 11209, 1325, 2664, 4880, 1193, 8531, 116, 2605, 24116, 1227, 31927, 10840, 1161, 14904, 2605, 183, 4567, 1125, 1158, 1539, 186, 1230, 9519, 1320, 1626, 9271, 121, 32001, 488, 106, 32000, 20036, 106, 153, 1507, 28182, 4273, 178, 1150, 1614, 3212, 5252, 1186, 488, 124, 132, 127, 126, 119, 1299, 1189, 1950, 2376, 1354, 8403, 20569, 16877, 5161, 13787, 1167, 6072, 1136, 1317, 23872, 4698, 1322, 22297, 27125, 10840, 1161, 14904, 1496, 2585, 1527, 1110, 1736, 20447, 244, 1170, 10239, 7812, 121, 106, 106, 141, 11741, 488, 106, 153, 244, 1188, 2482, 4524, 2335, 28391, 1222, 11418, 1164, 4273, 178, 1150, 1614, 3212, 13397, 6133, 1793, 16877, 1357, 1110, 2907, 1205, 1568, 1571, 24884, 1527, 1844, 1197, 8787, 1188, 2482, 16720, 1555, 2648, 1186, 13111, 2567, 1304, 15934, 5824, 1170, 31927, 10840, 1161, 14904, 4698, 2310, 116, 1125, 19788, 2487, 1527, 5016, 7628, 255, 7749, 1186, 16559, 121, 1768, 1251, 7354, 13787, 1186, 488, 124, 132, 129, 129, 1167, 1251, 14802, 1186, 488, 124, 132, 129, 132, 119, 1282, 15779, 11771, 16964, 30762, 19126, 1188, 30561, 1282, 14740, 30988, 2010, 1519, 4994, 106, 106, 5164, 4212, 1408, 2335, 1151, 1186, 2315, 1186, 488, 124, 132, 131, 125, 120, 131, 126, 119, 1856, 8328, 1227, 6508, 14610, 12813, 1167, 25210, 15811, 9601, 1215, 3699, 28688, 14166, 1119, 3441, 1210, 1112, 1456, 1657, 1768, 1110, 7645, 244, 1469, 16703, 2908, 1707, 1334, 1107, 1300, 1170, 6896, 1951, 2485, 121, 106, 106, 1686, 488, 124, 132, 131, 128, 119, 1527, 14802, 1469, 488, 1170, 23872, 10239, 7812, 119, 1189, 4779, 1125, 3370, 17934, 1188, 1158, 11936, 1167, 1317, 20735, 1167, 1170, 10452, 22571, 488, 125, 123, 123, 123, 121, 1653, 488, 125, 123, 124, 132, 119, 1527, 1299, 4771, 9857, 1313, 1207, 13142, 1125, 17569, 1369, 1254, 1484, 1148, 2982, 26639, 22432, 2782, 27363, 1317, 8328, 1227, 10239, 7812, 119, 10170, 1507, 180, 1209, 1845, 119, 12321, 13495, 26221, 1984, 1197, 29949, 1227, 31135, 1369, 14760, 9599, 1254, 1484, 1148, 2982, 14844, 244, 1125, 9304, 3157, 23398, 1167, 22972, 1256, 8366, 5345, 1125, 8330, 16095, 106, 106, 1686, 488, 124, 132, 132, 125, 119, 1527, 1299, 1736, 20447, 1793, 1227, 12574, 1197, 8552, 1253, 8262, 3515, 1325, 2664, 119, 2585, 1527, 13301, 1318, 21091, 1227, 7236, 22571, 488, 124, 132, 132, 131, 121, 1768, 3146, 2960, 1909, 10862, 1313, 1282, 18956, 488, 23332, 1186, 488, 124, 132, 132, 128, 121, 106, 106, 5164, 1299, 1170, 6606, 1227, 2929, 5182, 1200, 4396, 1273, 1466, 11209, 16900, 1814, 11189, 16780, 1215, 8751, 26384, 11189, 19126, 1571, 3293, 1253, 8262, 21637, 9505, 21258, 244, 18650, 124, 16900, 18132, 16964, 488, 124, 1524, 1576, 1768, 8135, 9365, 1313, 1207, 1329, 21936, 5386, 1889, 1317, 13793, 19929, 1469, 16703, 2908, 1707, 1334, 1657, 488, 488, 106, 106, 2606, 18650, 124, 5332, 1170, 4367, 25692, 8224, 13223, 31546, 1124, 20031, 1300, 30586, 1121, 2036, 3767, 1859, 1170, 18650, 124, 2918, 1188, 3631, 1125, 1874, 1167, 7354, 2271, 16063, 106, 106, 145, 22137, 488, 106, 106, 5164, 1299, 1170, 15722, 1125, 4172, 4273, 178, 1150, 1614, 3212, 15067, 1230, 8403, 1167, 14698, 23982, 21860, 1125, 18472, 21219, 121, 106, 106, 282, 10843, 488, 106, 1859, 488, 124, 132, 132, 128, 119, 1186, 14976, 2576, 24441, 7236, 119, 6927, 1643, 1319, 24990, 488, 124, 132, 132, 128, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 2576, 1924, 3528, 1227, 1939, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 126, 106, 27938, 9892, 8403, 106, 155, 7849, 1902, 13900, 1125, 5444, 12544, 106, 145, 1178, 1136, 12671, 106, 10442, 1200, 4396, 1273, 1466, 11209, 106, 162, 2664, 4880, 1193, 8531, 116, 106, 224, 24116, 1227, 31927, 10840, 1161, 14904, 106, 224, 183, 4567, 1125, 1158, 1539, 186, 1230, 9519, 1320, 1626, 9271, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 1507, 28182, 4273, 178, 1150, 1614, 3212, 5252, 1186, 488, 124, 132, 127, 126, 119, 1299, 1189, 1950, 2376, 1354, 8403, 20569, 16877, 5161, 13787, 1167, 6072, 1136, 1317, 23872, 4698, 1322, 22297, 27125, 10840, 1161, 14904, 1496, 2585, 1527, 1110, 1736, 20447, 244, 1170, 10239, 7812, 121, 106, 106, 141, 11741, 488, 106, 153, 244, 1188, 2482, 4524, 2335, 28391, 1222, 11418, 1164, 4273, 178, 1150, 1614, 3212, 13397, 6133, 1793, 16877, 1357, 1110, 2907, 1205, 1568, 1571, 24884, 1527, 1844, 1197, 8787, 1188, 2482, 16720, 1555, 2648, 1186, 13111, 2567, 1304, 15934, 5824, 1170, 31927, 10840, 1161, 14904, 4698, 2310, 116, 1125, 19788, 2487, 1527, 5016, 7628, 255, 7749, 1186, 16559, 121, 1768, 1251, 7354, 13787, 1186, 488, 124, 132, 129, 129, 1167, 1251, 14802, 1186, 488, 124, 132, 129, 132, 119, 1282, 15779, 11771, 16964, 30762, 19126, 1188, 30561, 1282, 14740, 30988, 2010, 1519, 4994, 106, 106, 5164, 4212, 1408, 2335, 1151, 1186, 2315, 1186, 488, 124, 132, 131, 125, 120, 131, 126, 119, 1856, 8328, 1227, 6508, 14610, 12813, 1167, 25210, 15811, 9601, 1215, 3699, 28688, 14166, 1119, 3441, 1210, 1112, 1456, 1657, 1768, 1110, 7645, 244, 1469, 16703, 2908, 1707, 1334, 1107, 1300, 1170, 6896, 1951, 2485, 121, 106, 106, 1686, 488, 124, 132, 131, 128, 119, 1527, 14802, 1469, 488, 1170, 23872, 10239, 7812, 119, 1189, 4779, 1125, 3370, 17934, 1188, 1158, 11936, 1167, 1317, 20735, 1167, 1170, 10452, 22571, 488, 125, 123, 123, 123, 121, 1653, 488, 125, 123, 124, 132, 119, 1527, 1299, 4771, 9857, 1313, 1207, 13142, 1125, 17569, 1369, 1254, 1484, 1148, 2982, 26639, 22432, 2782, 27363, 1317, 8328, 1227, 10239, 7812, 119, 10170, 1507, 180, 1209, 1845, 119, 12321, 13495, 26221, 1984, 1197, 29949, 1227, 31135, 1369, 14760, 9599, 1254, 1484, 1148, 2982, 14844, 244, 1125, 9304, 3157, 23398, 1167, 22972, 1256, 8366, 5345, 1125, 8330, 16095, 106, 106, 1686, 488, 124, 132, 132, 125, 119, 1527, 1299, 1736, 20447, 1793, 1227, 12574, 1197, 8552, 1253, 8262, 3515, 1325, 2664, 119, 2585, 1527, 13301, 1318, 21091, 1227, 7236, 22571, 488, 124, 132, 132, 131, 121, 1768, 3146, 2960, 1909, 10862, 1313, 1282, 18956, 488, 23332, 1186, 488, 124, 132, 132, 128, 121, 106, 106, 5164, 1299, 1170, 6606, 1227, 2929, 5182, 1200, 4396, 1273, 1466, 11209, 16900, 1814, 11189, 16780, 1215, 8751, 26384, 11189, 19126, 1571, 3293, 1253, 8262, 21637, 9505, 21258, 244, 18650, 124, 16900, 18132, 16964, 488, 124, 1524, 1576, 1768, 8135, 9365, 1313, 1207, 1329, 21936, 5386, 1889, 1317, 13793, 19929, 1469, 16703, 2908, 1707, 1334, 1657, 488, 488, 106, 106, 2606, 18650, 124, 5332, 1170, 4367, 25692, 8224, 13223, 31546, 1124, 20031, 1300, 30586, 1121, 2036, 3767, 1859, 1170, 18650, 124, 2918, 1188, 3631, 1125, 1874, 1167, 7354, 2271, 16063, 106, 106, 145, 22137, 488, 106, 106, 5164, 1299, 1170, 15722, 1125, 4172, 4273, 178, 1150, 1614, 3212, 15067, 1230, 8403, 1167, 14698, 23982, 21860, 1125, 18472, 21219, 121, 106, 106, 282, 10843, 488, 106, 1859, 488, 124, 132, 132, 128, 119, 1186, 14976, 2576, 24441, 7236, 119, 6927, 1643, 1319, 24990, 488, 124, 132, 132, 128, 121, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 2576, 1924, 3528, 1227, 1939, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 126, 106, 27938, 9892, 8403, 106, 155, 7849, 1902, 13900, 1125, 5444, 12544, 106, 145, 1178, 1136, 12671, 106, 10442, 1200, 4396, 1273, 1466, 11209, 106, 162, 2664, 4880, 1193, 8531, 116, 106, 224, 24116, 1227, 31927, 10840, 1161, 14904, 106, 224, 183, 4567, 1125, 1158, 1539, 186, 1230, 9519, 1320, 1626, 9271, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 25163, 27377, 30464, 17440, 9600, 1125, 21305, 12904, 6668, 1167, 1125, 7108, 116, 1110, 1913, 14802, 1186, 488, 124, 132, 129, 131, 1167, 23516, 1370, 3247, 1125, 15714, 2801, 120, 163, 148, 2757, 1158, 1458, 1117, 4292, 1125, 11638, 1186, 488, 124, 132, 130, 124, 1167, 4312, 2774, 3247, 1125, 15714, 2801, 3441, 1183, 10611, 2757, 1170, 488, 124, 1107, 2749, 488, 125, 123, 125, 123, 121, 106, 106, 145, 2529, 1125, 488, 129, 488, 123, 123, 123, 13012, 26133, 2011, 1300, 2069, 2118, 1346, 4142, 1125, 1173, 1159, 1541, 1313, 1207, 28948, 3840, 21930, 1314, 1167, 21937, 190, 1242, 1300, 1170, 19127, 2801, 3441, 1183, 10611, 1313, 5613, 1722, 1767, 121, 106, 106, 2606, 488, 124, 1107, 2875, 488, 125, 123, 125, 123, 119, 1215, 7596, 1227, 5809, 20130, 119, 1170, 6706, 1106, 12920, 7354, 1268, 243, 197, 2154, 1256, 488, 127, 8793, 106, 106, 143, 6849, 1170, 488, 124, 1107, 2875, 488, 125, 123, 125, 124, 119, 1170, 13787, 15689, 1120, 8870, 1219, 244, 1186, 7159, 1170, 1106, 1487, 4414, 106, 106, 4499, 1430, 488, 106, 3562, 25163, 2958, 2174, 1291, 172, 3171, 1127, 17358, 1167, 488, 126, 132, 4309, 1837, 1186, 21305, 1186, 23445, 1167, 1186, 10121, 3041, 3450, 18402, 4593, 11669, 1125, 3370, 1300, 1170, 1865, 1125, 1173, 1159, 9484, 106, 106, 6880, 13893, 26584, 10603, 1690, 1175, 4311, 149, 116, 24692, 1188, 3871, 13357, 19617, 1188, 1158, 13457, 2605, 10070, 1197, 22965, 1889, 7336, 7933, 3625, 2450, 116, 2442, 29384, 10058, 30652, 1188, 12547, 10070, 5277, 1125, 1158, 23357, 1861, 1175, 1743, 152, 1576, 488, 106, 106, 151, 1146, 2027, 488, 106, 106, 143, 5548, 1257, 106, 106, 26723, 16224, 106, 1200, 126, 16224, 11427, 106, 1200, 126, 16224, 1721, 106, 1200, 126, 27425, 1348, 10903, 106, 26723, 4415, 30260, 1291, 8243, 16224, 119, 10850, 1167, 26451, 106, 106, 144, 15051, 1167, 15206, 1257, 106, 106, 26723, 10066, 1214, 1167, 15206, 106, 1200, 126, 10066, 1214, 5225, 9422, 106, 1200, 126, 15206, 1197, 5221, 106, 1200, 126, 1748, 1595, 4053, 5136, 106, 26723, 4415, 30260, 1291, 8243, 26034, 119, 10567, 106, 26723, 4415, 30260, 1291, 8243, 10066, 1214, 1167, 8220, 11490, 106, 106, 152, 17358, 488, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1754, 3125, 1197, 5402, 1764, 1186, 2315, 1167, 1186, 4159, 106, 106, 143, 5548, 1197, 10934, 1257, 106, 106, 1204, 124, 16224, 1197, 10934, 106, 1204, 125, 8230, 119, 16586, 1171, 7305, 3619, 3876, 12672, 1136, 2038, 26298, 7962, 3589, 23715, 1167, 3090, 14548, 116, 106, 1204, 125, 16224, 1197, 10934, 21094, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 1204, 125, 8637, 21360, 180, 3683, 3090, 1167, 8181, 1637, 7432, 119, 21864, 2840, 1171, 8181, 106, 106, 143, 5548, 1125, 1158, 9855, 488, 250, 185, 1389, 2225, 3858, 1637, 3090, 1227, 7236, 1257, 106, 106, 1204, 124, 16224, 1125, 1158, 9855, 1536, 243, 2225, 3858, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 1158, 5735, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 5444, 8506, 1167, 9855, 21845, 106, 1204, 125, 12502, 29092, 2613, 2225, 3858, 12320, 1366, 1167, 3574, 2097, 17749, 11345, 1665, 8423, 1167, 19202, 19529, 1200, 10646, 8579, 116, 106, 1204, 125, 12502, 29092, 2613, 2225, 3858, 5225, 9422, 21185, 1847, 1336, 116, 106, 106, 143, 5548, 1125, 1158, 4509, 1257, 106, 106, 1204, 125, 16224, 1125, 1158, 8306, 20341, 1167, 23667, 1960, 106, 106, 143, 5548, 4578, 1167, 10216, 106, 106, 1204, 124, 16224, 1721, 4578, 1167, 10216, 106, 1204, 125, 16224, 4578, 1167, 10216, 1197, 4274, 31140, 106, 1204, 125, 26483, 1137, 14736, 1167, 19790, 6967, 2097, 106, 1204, 125, 16224, 1197, 5736, 14685, 2137, 1167, 20243, 2508, 17103, 106, 1204, 125, 8637, 10697, 1167, 3090, 1125, 14141, 30776, 106, 1204, 125, 16224, 1197, 5736, 12431, 6542, 1167, 1110, 17526, 1334, 2635, 1175, 3292, 4216, 116, 106, 1204, 125, 28369, 1167, 24126, 106, 1204, 125, 27589, 1125, 17571, 1167, 5221, 106, 106, 143, 5548, 1375, 1124, 1474, 1257, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1375, 1124, 1474, 106, 106, 143, 5548, 11427, 1257, 106, 106, 1204, 124, 16224, 11427, 488, 106, 1204, 125, 16224, 11427, 12320, 1132, 106, 1204, 125, 16224, 1197, 13377, 22260, 1167, 25069, 106, 1204, 125, 14338, 190, 10603, 1690, 106, 1204, 125, 16224, 6662, 1132, 12320, 1132, 1167, 8378, 1227, 3090, 6662, 1132, 106, 106, 143, 5548, 1721, 1257, 106, 106, 1204, 124, 16224, 1721, 106, 1204, 124, 119, 1204, 125, 16224, 1227, 11639, 16191, 106, 1204, 124, 119, 1204, 125, 16224, 1125, 18971, 106, 1204, 125, 16224, 1721, 3370, 1167, 10058, 106, 1204, 125, 16224, 1125, 1158, 26406, 1125, 13680, 9495, 1167, 1125, 1282, 26860, 106, 1204, 125, 16224, 1197, 20515, 9238, 106, 106, 143, 5548, 3056, 1257, 106, 106, 1204, 124, 16224, 1197, 4445, 1125, 2498, 106, 1204, 125, 16224, 1167, 8378, 1197, 4445, 1125, 2498, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 106, 8036, 2072, 488, 106, 106, 19529, 2801, 3441, 1183, 10611, 106, 2801, 3441, 1183, 10611, 106, 1173, 1159, 1541, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 11365, 2801, 3441, 1183, 10611, 4297, 32001, 488, 106, 32000, 20036, 106, 3562, 25163, 27377, 30464, 17440, 9600, 1125, 21305, 12904, 6668, 1167, 1125, 7108, 116, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 131, 1167, 14857, 3247, 1125, 15714, 2801, 120, 163, 148, 2757, 1158, 15229, 1125, 11638, 1186, 488, 124, 132, 130, 124, 1167, 1844, 2774, 3247, 1125, 15714, 2801, 3441, 1183, 10611, 2757, 1170, 488, 124, 1107, 2749, 488, 125, 123, 125, 123, 121, 106, 106, 145, 2529, 1125, 488, 129, 488, 123, 123, 123, 13012, 7556, 2011, 1300, 2069, 2118, 1346, 4142, 1125, 1173, 1159, 1541, 1313, 1207, 28948, 3840, 21930, 1314, 1167, 21937, 190, 1242, 1300, 1170, 19127, 2801, 3441, 1183, 10611, 1313, 5613, 1722, 1767, 121, 106, 106, 2606, 488, 124, 1107, 2875, 488, 125, 123, 125, 123, 119, 1215, 7596, 1227, 5809, 20130, 119, 1170, 6706, 1106, 12920, 7354, 4637, 1256, 488, 127, 8793, 106, 106, 143, 6849, 1170, 488, 124, 1107, 2875, 488, 125, 123, 125, 124, 119, 1170, 13787, 15689, 1120, 8870, 1219, 244, 1186, 1299, 1170, 1106, 1487, 4414, 106, 106, 4499, 1430, 488, 106, 3562, 25163, 5265, 3171, 1127, 17358, 1167, 488, 126, 132, 4309, 1837, 1186, 21305, 1186, 23445, 1167, 1186, 10121, 3041, 3450, 18402, 4593, 11669, 1125, 3370, 1300, 1170, 1865, 1125, 1173, 1159, 9484, 106, 106, 6880, 13893, 26584, 10603, 1690, 1175, 4311, 149, 116, 24692, 1188, 3871, 13357, 19617, 1188, 1158, 13457, 2605, 10070, 1197, 22965, 1889, 7336, 7933, 3625, 2450, 116, 2442, 25306, 10058, 30652, 1188, 12547, 10070, 5277, 1125, 1158, 23357, 1861, 1175, 1743, 152, 1576, 106, 106, 151, 1146, 2027, 488, 106, 106, 143, 5548, 1257, 106, 106, 26723, 16224, 106, 1200, 126, 16224, 11427, 106, 1200, 126, 16224, 1721, 106, 1200, 126, 27425, 1348, 10903, 106, 26723, 4415, 30260, 1291, 8243, 16224, 119, 10850, 1167, 26451, 106, 106, 144, 15051, 1167, 15206, 1257, 106, 106, 26723, 10066, 1214, 1167, 15206, 106, 1200, 126, 10066, 1214, 5225, 9422, 106, 1200, 126, 15206, 1197, 5221, 106, 1200, 126, 1748, 1595, 4053, 5136, 106, 26723, 4415, 30260, 1291, 8243, 26034, 119, 10567, 106, 26723, 4415, 30260, 1291, 8243, 10066, 1214, 1167, 8220, 11490, 106, 106, 152, 17358, 488, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1754, 3125, 1197, 5402, 1764, 1186, 2315, 1167, 1186, 4159, 106, 106, 143, 5548, 1197, 10934, 1257, 106, 106, 1204, 124, 16224, 1197, 10934, 106, 1204, 125, 8230, 119, 16586, 1171, 7305, 3619, 3876, 12672, 1136, 2038, 26298, 7962, 3589, 23715, 1167, 3090, 14548, 116, 106, 1204, 125, 16224, 1197, 10934, 21094, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 1204, 125, 8637, 21360, 180, 3683, 3090, 1167, 8181, 1637, 7432, 119, 21864, 2840, 1171, 8181, 106, 106, 143, 5548, 1125, 1158, 9855, 19032, 1637, 3090, 1227, 7236, 1257, 106, 106, 1204, 124, 16224, 1125, 1158, 9855, 19032, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 1158, 5735, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 5444, 8506, 1167, 9855, 21845, 106, 1204, 125, 12502, 29092, 19032, 12320, 1366, 1167, 3574, 2097, 17749, 11345, 1665, 8423, 1167, 19202, 19529, 1200, 10646, 8579, 116, 106, 1204, 125, 12502, 29092, 19032, 5225, 9422, 21185, 1847, 1336, 116, 106, 106, 143, 5548, 1125, 1158, 4509, 1257, 106, 106, 1204, 125, 16224, 1125, 1158, 8306, 20341, 1167, 23667, 1960, 106, 106, 143, 5548, 4578, 1167, 10216, 106, 106, 1204, 124, 16224, 1721, 4578, 1167, 10216, 106, 1204, 125, 16224, 4578, 1167, 10216, 1197, 4274, 31140, 106, 1204, 125, 26483, 1137, 14736, 1167, 19790, 6967, 2097, 106, 1204, 125, 16224, 1197, 5736, 14685, 2137, 1167, 20243, 2508, 17103, 106, 1204, 125, 8637, 10697, 1167, 3090, 1125, 14141, 30776, 106, 1204, 125, 16224, 1197, 5736, 12431, 6542, 1167, 1110, 17526, 1334, 2635, 1175, 3292, 4216, 116, 106, 1204, 125, 28369, 1167, 24126, 106, 1204, 125, 27589, 1125, 17571, 1167, 5221, 106, 106, 143, 5548, 1375, 1124, 1474, 1257, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1375, 1124, 1474, 106, 106, 143, 5548, 11427, 1257, 106, 106, 1204, 124, 16224, 11427, 106, 1204, 125, 16224, 11427, 12320, 1132, 106, 1204, 125, 16224, 1197, 13377, 22260, 1167, 25069, 106, 1204, 125, 14338, 190, 10603, 1690, 106, 1204, 125, 16224, 6662, 1132, 12320, 1132, 1167, 8378, 1227, 3090, 6662, 1132, 106, 106, 143, 5548, 1721, 1257, 106, 106, 1204, 124, 16224, 1721, 106, 1204, 124, 119, 1204, 125, 16224, 1227, 11639, 16191, 106, 1204, 124, 119, 1204, 125, 16224, 1125, 18971, 106, 1204, 125, 16224, 1721, 3370, 1167, 10058, 106, 1204, 125, 16224, 1125, 1158, 26406, 1125, 13680, 9495, 1167, 1125, 1282, 26860, 106, 1204, 125, 16224, 1197, 20515, 9238, 106, 106, 143, 5548, 3056, 1257, 106, 106, 1204, 124, 16224, 1197, 4445, 1125, 2498, 106, 1204, 125, 16224, 1167, 8378, 1197, 4445, 1125, 2498, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 106, 19529, 2801, 3441, 1183, 10611, 106, 2801, 3441, 1183, 10611, 106, 1173, 1159, 1541, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 11365, 2801, 3441, 1183, 10611, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 25163, 27377, 30464, 17440, 9600, 1125, 21305, 12904, 6668, 1167, 1125, 7108, 116, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 131, 1167, 14857, 3247, 1125, 15714, 2801, 120, 163, 148, 2757, 1158, 15229, 1125, 11638, 1186, 488, 124, 132, 130, 124, 1167, 1844, 2774, 3247, 1125, 15714, 2801, 3441, 1183, 10611, 2757, 1170, 488, 124, 1107, 2749, 488, 125, 123, 125, 123, 121, 106, 106, 145, 2529, 1125, 488, 129, 488, 123, 123, 123, 13012, 7556, 2011, 1300, 2069, 2118, 1346, 4142, 1125, 1173, 1159, 1541, 1313, 1207, 28948, 3840, 21930, 1314, 1167, 21937, 190, 1242, 1300, 1170, 19127, 2801, 3441, 1183, 10611, 1313, 5613, 1722, 1767, 121, 106, 106, 2606, 488, 124, 1107, 2875, 488, 125, 123, 125, 123, 119, 1215, 7596, 1227, 5809, 20130, 119, 1170, 6706, 1106, 12920, 7354, 4637, 1256, 488, 127, 8793, 106, 106, 143, 6849, 1170, 488, 124, 1107, 2875, 488, 125, 123, 125, 124, 119, 1170, 13787, 15689, 1120, 8870, 1219, 244, 1186, 1299, 1170, 1106, 1487, 4414, 106, 106, 4499, 1430, 488, 106, 3562, 25163, 5265, 3171, 1127, 17358, 1167, 488, 126, 132, 4309, 1837, 1186, 21305, 1186, 23445, 1167, 1186, 10121, 3041, 3450, 18402, 4593, 11669, 1125, 3370, 1300, 1170, 1865, 1125, 1173, 1159, 9484, 106, 106, 6880, 13893, 26584, 10603, 1690, 1175, 4311, 149, 116, 24692, 1188, 3871, 13357, 19617, 1188, 1158, 13457, 2605, 10070, 1197, 22965, 1889, 7336, 7933, 3625, 2450, 116, 2442, 25306, 10058, 30652, 1188, 12547, 10070, 5277, 1125, 1158, 23357, 1861, 1175, 1743, 152, 1576, 106, 106, 151, 1146, 2027, 488, 106, 106, 143, 5548, 1257, 106, 106, 26723, 16224, 106, 1200, 126, 16224, 11427, 106, 1200, 126, 16224, 1721, 106, 1200, 126, 27425, 1348, 10903, 106, 26723, 4415, 30260, 1291, 8243, 16224, 119, 10850, 1167, 26451, 106, 106, 144, 15051, 1167, 15206, 1257, 106, 106, 26723, 10066, 1214, 1167, 15206, 106, 1200, 126, 10066, 1214, 5225, 9422, 106, 1200, 126, 15206, 1197, 5221, 106, 1200, 126, 1748, 1595, 4053, 5136, 106, 26723, 4415, 30260, 1291, 8243, 26034, 119, 10567, 106, 26723, 4415, 30260, 1291, 8243, 10066, 1214, 1167, 8220, 11490, 106, 106, 152, 17358, 488, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1754, 3125, 1197, 5402, 1764, 1186, 2315, 1167, 1186, 4159, 106, 106, 143, 5548, 1197, 10934, 1257, 106, 106, 1204, 124, 16224, 1197, 10934, 106, 1204, 125, 8230, 119, 16586, 1171, 7305, 3619, 3876, 12672, 1136, 2038, 26298, 7962, 3589, 23715, 1167, 3090, 14548, 116, 106, 1204, 125, 16224, 1197, 10934, 21094, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 1204, 125, 8637, 21360, 180, 3683, 3090, 1167, 8181, 1637, 7432, 119, 21864, 2840, 1171, 8181, 106, 106, 143, 5548, 1125, 1158, 9855, 19032, 1637, 3090, 1227, 7236, 1257, 106, 106, 1204, 124, 16224, 1125, 1158, 9855, 19032, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 1158, 5735, 1167, 1227, 7236, 106, 1204, 125, 16224, 1125, 5444, 8506, 1167, 9855, 21845, 106, 1204, 125, 12502, 29092, 19032, 12320, 1366, 1167, 3574, 2097, 17749, 11345, 1665, 8423, 1167, 19202, 19529, 1200, 10646, 8579, 116, 106, 1204, 125, 12502, 29092, 19032, 5225, 9422, 21185, 1847, 1336, 116, 106, 106, 143, 5548, 1125, 1158, 4509, 1257, 106, 106, 1204, 125, 16224, 1125, 1158, 8306, 20341, 1167, 23667, 1960, 106, 106, 143, 5548, 4578, 1167, 10216, 106, 106, 1204, 124, 16224, 1721, 4578, 1167, 10216, 106, 1204, 125, 16224, 4578, 1167, 10216, 1197, 4274, 31140, 106, 1204, 125, 26483, 1137, 14736, 1167, 19790, 6967, 2097, 106, 1204, 125, 16224, 1197, 5736, 14685, 2137, 1167, 20243, 2508, 17103, 106, 1204, 125, 8637, 10697, 1167, 3090, 1125, 14141, 30776, 106, 1204, 125, 16224, 1197, 5736, 12431, 6542, 1167, 1110, 17526, 1334, 2635, 1175, 3292, 4216, 116, 106, 1204, 125, 28369, 1167, 24126, 106, 1204, 125, 27589, 1125, 17571, 1167, 5221, 106, 106, 143, 5548, 1375, 1124, 1474, 1257, 106, 106, 1204, 124, 119, 1204, 125, 16224, 1375, 1124, 1474, 106, 106, 143, 5548, 11427, 1257, 106, 106, 1204, 124, 16224, 11427, 106, 1204, 125, 16224, 11427, 12320, 1132, 106, 1204, 125, 16224, 1197, 13377, 22260, 1167, 25069, 106, 1204, 125, 14338, 190, 10603, 1690, 106, 1204, 125, 16224, 6662, 1132, 12320, 1132, 1167, 8378, 1227, 3090, 6662, 1132, 106, 106, 143, 5548, 1721, 1257, 106, 106, 1204, 124, 16224, 1721, 106, 1204, 124, 119, 1204, 125, 16224, 1227, 11639, 16191, 106, 1204, 124, 119, 1204, 125, 16224, 1125, 18971, 106, 1204, 125, 16224, 1721, 3370, 1167, 10058, 106, 1204, 125, 16224, 1125, 1158, 26406, 1125, 13680, 9495, 1167, 1125, 1282, 26860, 106, 1204, 125, 16224, 1197, 20515, 9238, 106, 106, 143, 5548, 3056, 1257, 106, 106, 1204, 124, 16224, 1197, 4445, 1125, 2498, 106, 1204, 125, 16224, 1167, 8378, 1197, 4445, 1125, 2498, 106, 1204, 125, 15206, 1197, 5221, 1167, 7108, 1197, 8195, 18186, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 106, 19529, 2801, 3441, 1183, 10611, 106, 2801, 3441, 1183, 10611, 106, 1173, 1159, 1541, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 11365, 2801, 3441, 1183, 10611, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 162, 2494, 27798, 1299, 1189, 7130, 1167, 1318, 19951, 1206, 10015, 1313, 1170, 10750, 1125, 2482, 22943, 1167, 1170, 21836, 1227, 9029, 1484, 179, 6785, 1186, 1645, 14691, 9770, 106, 106, 146, 22857, 488, 106, 106, 3562, 19951, 1206, 10015, 1125, 12620, 27798, 1299, 30647, 1125, 5125, 488, 125, 125, 127, 26285, 1124, 1346, 1188, 1561, 5735, 1186, 488, 124, 131, 128, 131, 121, 106, 106, 15581, 4521, 488, 106, 162, 2494, 27798, 1281, 18381, 1835, 1233, 3241, 1345, 1167, 1306, 3701, 1188, 21204, 1125, 1158, 17451, 3942, 3847, 106, 106, 3562, 2032, 1902, 1299, 10019, 1317, 7758, 1125, 1158, 3837, 1125, 1173, 1790, 8519, 1762, 1158, 3837, 1158, 1408, 9993, 1299, 1252, 8756, 173, 7621, 10019, 1317, 18762, 13469, 121, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 124, 119, 1158, 19951, 1206, 6036, 1370, 488, 127, 132, 124, 11411, 1256, 488, 125, 127, 128, 31808, 2996, 106, 106, 1686, 488, 125, 123, 124, 124, 119, 488, 127, 131, 132, 11411, 1508, 1685, 1462, 4413, 106, 106, 5330, 4536, 488, 106, 3562, 17827, 1158, 1408, 9993, 1299, 1158, 17827, 1125, 1173, 1790, 8519, 2305, 106, 106, 224, 15565, 1525, 488, 106, 2606, 7130, 1110, 1189, 16481, 13348, 1410, 11283, 1206, 1171, 1293, 5671, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 14084, 1227, 7130, 1167, 1170, 8899, 1125, 8536, 2004, 1913, 21246, 1234, 1125, 7782, 1130, 7471, 1548, 7130, 8135, 4331, 1298, 180, 1167, 1110, 21146, 1170, 19654, 1256, 7762, 8793, 106, 106, 2606, 1859, 1189, 3631, 12620, 27798, 12795, 21409, 1110, 1913, 10193, 2750, 1408, 1125, 5999, 2165, 1125, 20565, 1167, 1125, 8102, 1104, 1125, 8258, 1215, 1158, 9287, 2032, 5907, 106, 106, 11578, 5051, 488, 106, 4455, 2069, 7077, 1125, 1158, 19951, 1206, 1508, 3647, 1234, 1125, 9355, 6141, 4321, 1125, 4985, 1346, 1125, 3432, 180, 3992, 17173, 1346, 1125, 2167, 6026, 13841, 1167, 1125, 3543, 173, 3123, 121, 1643, 23724, 1167, 1158, 19696, 1125, 1158, 2490, 1515, 18449, 16552, 4275, 4160, 1457, 106, 106, 9748, 8150, 1214, 488, 106, 2606, 7130, 1299, 9918, 2290, 1170, 1874, 1125, 12620, 27798, 2757, 1170, 8007, 1227, 26851, 6298, 121, 1606, 12620, 1524, 1299, 1282, 1419, 6544, 1125, 5614, 2393, 1292, 1357, 1114, 1955, 1532, 1170, 7130, 1227, 4933, 1125, 1158, 2482, 22943, 2040, 1606, 9615, 1524, 1299, 1189, 1874, 12135, 1313, 1170, 7758, 1125, 26135, 19394, 1256, 1318, 2032, 1902, 2423, 3693, 1227, 7433, 1166, 1344, 22514, 106, 106, 30609, 488, 106, 106, 216, 488, 131, 123, 123, 13061, 1317, 7758, 1227, 9876, 3301, 1281, 16552, 1207, 24586, 3967, 1125, 13079, 14443, 1125, 11174, 1126, 11320, 16302, 23587, 1189, 1151, 27147, 22538, 3701, 3755, 1148, 1469, 1318, 1116, 2886, 1567, 20138, 3988, 21685, 1606, 1204, 7416, 11005, 2687, 172, 25095, 4821, 106, 106, 2606, 13337, 3031, 7420, 1189, 1606, 1865, 1226, 1533, 3649, 3133, 3839, 18714, 1186, 488, 124, 124, 127, 131, 121, 106, 106, 162, 2494, 27798, 3031, 1188, 21839, 1318, 6233, 3993, 10326, 1517, 1349, 1366, 1125, 1158, 2482, 2544, 7965, 22590, 1856, 9005, 3247, 1125, 1158, 6233, 1125, 19931, 1125, 1158, 28471, 1232, 1125, 5614, 2393, 1292, 121, 106, 106, 1686, 488, 124, 132, 126, 125, 119, 1158, 19951, 1206, 1110, 1913, 1711, 8539, 1214, 1469, 1282, 26387, 1125, 488, 124, 129, 131, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1233, 3241, 1345, 1167, 1125, 488, 125, 132, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1306, 5907, 106, 106, 151, 13293, 1158, 7624, 1197, 20244, 1110, 1913, 27537, 1186, 488, 124, 132, 126, 123, 120, 124, 132, 126, 124, 119, 2069, 13012, 1227, 11801, 9168, 1161, 8080, 6700, 23883, 1233, 7392, 1167, 19961, 11259, 1245, 116, 2004, 1913, 5601, 14006, 1215, 1170, 3091, 13717, 1214, 18887, 1256, 1805, 4420, 12462, 1207, 18979, 1469, 1197, 6843, 1842, 7144, 12043, 12260, 1158, 2492, 1227, 7130, 7200, 2914, 3031, 1188, 21778, 121, 106, 106, 3562, 1131, 1312, 1244, 10825, 1197, 1138, 2451, 1396, 2007, 4051, 1199, 2757, 11174, 1126, 11320, 119, 19543, 1227, 10092, 1313, 22938, 23297, 12001, 1158, 16037, 26559, 7425, 3725, 1158, 1116, 1277, 2538, 1148, 1197, 11342, 1285, 1170, 14018, 1167, 1170, 6371, 2357, 3871, 4218, 1125, 10369, 1227, 9876, 3301, 1158, 11615, 1227, 1116, 1176, 1112, 1167, 1170, 24526, 1108, 1357, 1543, 4437, 1170, 2958, 245, 6204, 106, 106, 2606, 12685, 1357, 1299, 7030, 22938, 1227, 7130, 3110, 1125, 488, 124, 132, 124, 126, 119, 23780, 1188, 21839, 1318, 7624, 1125, 7150, 1125, 22938, 121, 1653, 488, 124, 132, 127, 132, 119, 22938, 1110, 1913, 30364, 1188, 13811, 9901, 1221, 19650, 2399, 1110, 1913, 1754, 18742, 1188, 1561, 7027, 14785, 1186, 488, 124, 132, 129, 126, 121, 106, 106, 143, 6849, 488, 124, 132, 125, 130, 119, 12620, 27798, 1844, 3247, 1125, 1158, 1606, 19951, 1206, 4037, 1395, 1234, 5787, 1960, 1524, 1125, 1306, 1366, 1167, 12620, 18716, 2765, 8478, 1199, 1170, 2076, 1455, 2683, 244, 1167, 1207, 9359, 2882, 22816, 121, 106, 106, 25542, 488, 106, 2606, 5809, 19951, 1349, 1132, 1125, 12620, 27798, 2803, 10600, 4634, 121, 1643, 19951, 1206, 1844, 3247, 1125, 1158, 17639, 16843, 1171, 22943, 1325, 1379, 1357, 1299, 4018, 1303, 1317, 5809, 1125, 10750, 1125, 2482, 22943, 1215, 1189, 4374, 4118, 4780, 11041, 7723, 244, 1215, 19961, 6767, 1105, 1227, 15211, 5416, 30450, 12620, 27798, 1299, 1313, 1158, 25898, 14701, 3693, 2482, 22943, 5206, 4018, 1303, 1215, 1189, 3419, 5416, 13619, 3190, 11247, 1173, 2850, 22631, 106, 106, 28870, 5825, 488, 106, 106, 27566, 2475, 1125, 12620, 27798, 12795, 21409, 121, 488, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1170, 9029, 1484, 25907, 1778, 1517, 1206, 10015, 1313, 1170, 9029, 1484, 25907, 114, 32001, 488, 106, 32000, 20036, 106, 162, 2494, 27798, 1299, 1189, 7130, 1167, 1318, 19951, 1206, 10015, 1313, 1170, 10750, 1125, 2482, 22943, 1167, 1170, 21836, 1227, 9029, 1484, 179, 6785, 1186, 1645, 14691, 9770, 106, 106, 146, 22857, 488, 106, 106, 3562, 19951, 1206, 10015, 1125, 12620, 27798, 1299, 30647, 1125, 5125, 488, 125, 125, 127, 26285, 1124, 1346, 1188, 1561, 5735, 1186, 488, 124, 131, 128, 131, 121, 106, 106, 15581, 4521, 488, 106, 162, 2494, 27798, 1281, 18381, 1835, 1233, 3241, 1345, 1167, 1306, 3701, 1188, 21204, 1125, 1158, 17451, 3942, 3847, 106, 106, 3562, 2032, 1902, 1299, 10019, 1317, 7758, 1125, 1158, 3837, 1125, 1173, 1790, 8519, 1762, 1158, 3837, 1158, 1408, 9993, 1299, 1252, 8756, 173, 7621, 10019, 1317, 18762, 13469, 121, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 124, 119, 1158, 19951, 1206, 6036, 1370, 488, 127, 132, 124, 11411, 1256, 488, 125, 127, 128, 31808, 2996, 106, 106, 1686, 488, 125, 123, 124, 124, 119, 488, 127, 131, 132, 11411, 1508, 1685, 1462, 4413, 106, 106, 5330, 4536, 488, 106, 3562, 17827, 1158, 1408, 9993, 1299, 1158, 17827, 1125, 1173, 1790, 8519, 2305, 106, 106, 224, 15565, 1525, 488, 106, 2606, 7130, 1110, 1189, 16481, 13348, 1410, 11283, 1206, 1171, 1293, 5671, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 14084, 1227, 7130, 1167, 1170, 8899, 1125, 8536, 2004, 1913, 21246, 1234, 1125, 7782, 1130, 7471, 1548, 7130, 8135, 4331, 1298, 180, 1167, 1110, 21146, 1170, 19654, 1256, 7762, 8793, 106, 106, 2606, 1859, 1189, 3631, 12620, 27798, 12795, 21409, 1110, 1913, 10193, 2750, 1408, 1125, 5999, 2165, 1125, 20565, 1167, 1125, 8102, 1104, 1125, 8258, 1215, 1158, 9287, 2032, 5907, 106, 106, 11578, 5051, 488, 106, 4455, 2069, 7077, 1125, 1158, 19951, 1206, 1508, 3647, 1234, 1125, 9355, 6141, 4321, 1125, 4985, 1346, 1125, 3432, 180, 3992, 17173, 1346, 1125, 2167, 6026, 13841, 1167, 1125, 3543, 173, 3123, 121, 1643, 23724, 1167, 1158, 19696, 1125, 1158, 2490, 1515, 18449, 16552, 4275, 4160, 1457, 106, 106, 9748, 8150, 1214, 488, 106, 2606, 7130, 1299, 9918, 2290, 1170, 1874, 1125, 12620, 27798, 2757, 1170, 8007, 1227, 26851, 6298, 121, 1606, 12620, 1524, 1299, 1282, 1419, 6544, 1125, 5614, 2393, 1292, 1357, 1114, 1955, 1532, 1170, 7130, 1227, 4933, 1125, 1158, 2482, 22943, 2040, 1606, 9615, 1524, 1299, 1189, 1874, 12135, 1313, 1170, 7758, 1125, 26135, 19394, 1256, 1318, 2032, 1902, 2423, 3693, 1227, 7433, 1166, 1344, 22514, 106, 106, 30609, 488, 106, 106, 216, 488, 131, 123, 123, 13061, 1317, 7758, 1227, 9876, 3301, 1281, 16552, 1207, 24586, 3967, 1125, 13079, 14443, 1125, 11174, 1126, 11320, 16302, 23587, 1189, 1151, 27147, 22538, 3701, 3755, 1148, 1469, 1318, 1116, 2886, 1567, 20138, 3988, 21685, 1606, 1204, 7416, 11005, 2687, 172, 25095, 4821, 106, 106, 2606, 13337, 3031, 7420, 1189, 1606, 1865, 1226, 1533, 3649, 3133, 3839, 18714, 1186, 488, 124, 124, 127, 131, 121, 106, 106, 162, 2494, 27798, 3031, 1188, 21839, 1318, 6233, 3993, 10326, 1517, 1349, 1366, 1125, 1158, 2482, 2544, 7965, 22590, 1856, 9005, 3247, 1125, 1158, 6233, 1125, 19931, 1125, 1158, 28471, 1232, 1125, 5614, 2393, 1292, 121, 106, 106, 1686, 488, 124, 132, 126, 125, 119, 1158, 19951, 1206, 1110, 1913, 1711, 8539, 1214, 1469, 1282, 26387, 1125, 488, 124, 129, 131, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1233, 3241, 1345, 1167, 1125, 488, 125, 132, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1306, 5907, 106, 106, 151, 13293, 1158, 7624, 1197, 20244, 1110, 1913, 27537, 1186, 488, 124, 132, 126, 123, 120, 124, 132, 126, 124, 119, 2069, 13012, 1227, 11801, 9168, 1161, 8080, 6700, 23883, 1233, 7392, 1167, 19961, 11259, 1245, 116, 2004, 1913, 5601, 14006, 1215, 1170, 3091, 13717, 1214, 18887, 1256, 1805, 4420, 12462, 1207, 18979, 1469, 1197, 6843, 1842, 7144, 12043, 12260, 1158, 2492, 1227, 7130, 7200, 2914, 3031, 1188, 21778, 121, 106, 106, 3562, 1131, 1312, 1244, 10825, 1197, 1138, 2451, 1396, 2007, 4051, 1199, 2757, 11174, 1126, 11320, 119, 19543, 1227, 10092, 1313, 22938, 23297, 12001, 1158, 16037, 26559, 7425, 3725, 1158, 1116, 1277, 2538, 1148, 1197, 11342, 1285, 1170, 14018, 1167, 1170, 6371, 2357, 3871, 4218, 1125, 10369, 1227, 9876, 3301, 1158, 11615, 1227, 1116, 1176, 1112, 1167, 1170, 24526, 1108, 1357, 1543, 4437, 1170, 2958, 245, 6204, 106, 106, 2606, 12685, 1357, 1299, 7030, 22938, 1227, 7130, 3110, 1125, 488, 124, 132, 124, 126, 119, 23780, 1188, 21839, 1318, 7624, 1125, 7150, 1125, 22938, 121, 1653, 488, 124, 132, 127, 132, 119, 22938, 1110, 1913, 30364, 1188, 13811, 9901, 1221, 19650, 2399, 1110, 1913, 1754, 18742, 1188, 1561, 7027, 14785, 1186, 488, 124, 132, 129, 126, 121, 106, 106, 143, 6849, 488, 124, 132, 125, 130, 119, 12620, 27798, 1844, 3247, 1125, 1158, 1606, 19951, 1206, 4037, 1395, 1234, 5787, 1960, 1524, 1125, 1306, 1366, 1167, 12620, 18716, 2765, 8478, 1199, 1170, 2076, 1455, 2683, 244, 1167, 1207, 9359, 2882, 22816, 121, 106, 106, 25542, 488, 106, 2606, 5809, 19951, 1349, 1132, 1125, 12620, 27798, 2803, 10600, 4634, 121, 1643, 19951, 1206, 1844, 3247, 1125, 1158, 17639, 16843, 1171, 22943, 1325, 1379, 1357, 1299, 4018, 1303, 1317, 5809, 1125, 10750, 1125, 2482, 22943, 1215, 1189, 4374, 4118, 4780, 11041, 7723, 244, 1215, 19961, 6767, 1105, 1227, 15211, 5416, 30450, 12620, 27798, 1299, 1313, 1158, 25898, 14701, 3693, 2482, 22943, 5206, 4018, 1303, 1215, 1189, 3419, 5416, 13619, 3190, 11247, 1173, 2850, 22631, 106, 106, 28870, 5825, 488, 106, 106, 27566, 2475, 1125, 12620, 27798, 12795, 21409, 121, 488, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1170, 9029, 1484, 25907, 1778, 1517, 1206, 10015, 1313, 1170, 9029, 1484, 25907, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 2494, 27798, 1299, 1189, 7130, 1167, 1318, 19951, 1206, 10015, 1313, 1170, 10750, 1125, 2482, 22943, 1167, 1170, 21836, 1227, 9029, 1484, 179, 6785, 1186, 1645, 14691, 9770, 106, 106, 146, 22857, 488, 106, 106, 3562, 19951, 1206, 10015, 1125, 12620, 27798, 1299, 30647, 1125, 5125, 488, 125, 125, 127, 26285, 1124, 1346, 1188, 1561, 5735, 1186, 488, 124, 131, 128, 131, 121, 106, 106, 15581, 4521, 488, 106, 162, 2494, 27798, 1281, 18381, 1835, 1233, 3241, 1345, 1167, 1306, 3701, 1188, 21204, 1125, 1158, 17451, 3942, 3847, 106, 106, 3562, 2032, 1902, 1299, 10019, 1317, 7758, 1125, 1158, 3837, 1125, 1173, 1790, 8519, 1762, 1158, 3837, 1158, 1408, 9993, 1299, 1252, 8756, 173, 7621, 10019, 1317, 18762, 13469, 121, 106, 106, 143, 2035, 4134, 488, 106, 25280, 6305, 1170, 30987, 1125, 488, 125, 123, 123, 124, 119, 1158, 19951, 1206, 6036, 1370, 488, 127, 132, 124, 11411, 1256, 488, 125, 127, 128, 31808, 2996, 106, 106, 1686, 488, 125, 123, 124, 124, 119, 488, 127, 131, 132, 11411, 1508, 1685, 1462, 4413, 106, 106, 5330, 4536, 488, 106, 3562, 17827, 1158, 1408, 9993, 1299, 1158, 17827, 1125, 1173, 1790, 8519, 2305, 106, 106, 224, 15565, 1525, 488, 106, 2606, 7130, 1110, 1189, 16481, 13348, 1410, 11283, 1206, 1171, 1293, 5671, 121, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 14084, 1227, 7130, 1167, 1170, 8899, 1125, 8536, 2004, 1913, 21246, 1234, 1125, 7782, 1130, 7471, 1548, 7130, 8135, 4331, 1298, 180, 1167, 1110, 21146, 1170, 19654, 1256, 7762, 8793, 106, 106, 2606, 1859, 1189, 3631, 12620, 27798, 12795, 21409, 1110, 1913, 10193, 2750, 1408, 1125, 5999, 2165, 1125, 20565, 1167, 1125, 8102, 1104, 1125, 8258, 1215, 1158, 9287, 2032, 5907, 106, 106, 11578, 5051, 488, 106, 4455, 2069, 7077, 1125, 1158, 19951, 1206, 1508, 3647, 1234, 1125, 9355, 6141, 4321, 1125, 4985, 1346, 1125, 3432, 180, 3992, 17173, 1346, 1125, 2167, 6026, 13841, 1167, 1125, 3543, 173, 3123, 121, 1643, 23724, 1167, 1158, 19696, 1125, 1158, 2490, 1515, 18449, 16552, 4275, 4160, 1457, 106, 106, 9748, 8150, 1214, 488, 106, 2606, 7130, 1299, 9918, 2290, 1170, 1874, 1125, 12620, 27798, 2757, 1170, 8007, 1227, 26851, 6298, 121, 1606, 12620, 1524, 1299, 1282, 1419, 6544, 1125, 5614, 2393, 1292, 1357, 1114, 1955, 1532, 1170, 7130, 1227, 4933, 1125, 1158, 2482, 22943, 2040, 1606, 9615, 1524, 1299, 1189, 1874, 12135, 1313, 1170, 7758, 1125, 26135, 19394, 1256, 1318, 2032, 1902, 2423, 3693, 1227, 7433, 1166, 1344, 22514, 106, 106, 30609, 488, 106, 106, 216, 488, 131, 123, 123, 13061, 1317, 7758, 1227, 9876, 3301, 1281, 16552, 1207, 24586, 3967, 1125, 13079, 14443, 1125, 11174, 1126, 11320, 16302, 23587, 1189, 1151, 27147, 22538, 3701, 3755, 1148, 1469, 1318, 1116, 2886, 1567, 20138, 3988, 21685, 1606, 1204, 7416, 11005, 2687, 172, 25095, 4821, 106, 106, 2606, 13337, 3031, 7420, 1189, 1606, 1865, 1226, 1533, 3649, 3133, 3839, 18714, 1186, 488, 124, 124, 127, 131, 121, 106, 106, 162, 2494, 27798, 3031, 1188, 21839, 1318, 6233, 3993, 10326, 1517, 1349, 1366, 1125, 1158, 2482, 2544, 7965, 22590, 1856, 9005, 3247, 1125, 1158, 6233, 1125, 19931, 1125, 1158, 28471, 1232, 1125, 5614, 2393, 1292, 121, 106, 106, 1686, 488, 124, 132, 126, 125, 119, 1158, 19951, 1206, 1110, 1913, 1711, 8539, 1214, 1469, 1282, 26387, 1125, 488, 124, 129, 131, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1233, 3241, 1345, 1167, 1125, 488, 125, 132, 26285, 5953, 1125, 1158, 19951, 1206, 1125, 1306, 5907, 106, 106, 151, 13293, 1158, 7624, 1197, 20244, 1110, 1913, 27537, 1186, 488, 124, 132, 126, 123, 120, 124, 132, 126, 124, 119, 2069, 13012, 1227, 11801, 9168, 1161, 8080, 6700, 23883, 1233, 7392, 1167, 19961, 11259, 1245, 116, 2004, 1913, 5601, 14006, 1215, 1170, 3091, 13717, 1214, 18887, 1256, 1805, 4420, 12462, 1207, 18979, 1469, 1197, 6843, 1842, 7144, 12043, 12260, 1158, 2492, 1227, 7130, 7200, 2914, 3031, 1188, 21778, 121, 106, 106, 3562, 1131, 1312, 1244, 10825, 1197, 1138, 2451, 1396, 2007, 4051, 1199, 2757, 11174, 1126, 11320, 119, 19543, 1227, 10092, 1313, 22938, 23297, 12001, 1158, 16037, 26559, 7425, 3725, 1158, 1116, 1277, 2538, 1148, 1197, 11342, 1285, 1170, 14018, 1167, 1170, 6371, 2357, 3871, 4218, 1125, 10369, 1227, 9876, 3301, 1158, 11615, 1227, 1116, 1176, 1112, 1167, 1170, 24526, 1108, 1357, 1543, 4437, 1170, 2958, 245, 6204, 106, 106, 2606, 12685, 1357, 1299, 7030, 22938, 1227, 7130, 3110, 1125, 488, 124, 132, 124, 126, 119, 23780, 1188, 21839, 1318, 7624, 1125, 7150, 1125, 22938, 121, 1653, 488, 124, 132, 127, 132, 119, 22938, 1110, 1913, 30364, 1188, 13811, 9901, 1221, 19650, 2399, 1110, 1913, 1754, 18742, 1188, 1561, 7027, 14785, 1186, 488, 124, 132, 129, 126, 121, 106, 106, 143, 6849, 488, 124, 132, 125, 130, 119, 12620, 27798, 1844, 3247, 1125, 1158, 1606, 19951, 1206, 4037, 1395, 1234, 5787, 1960, 1524, 1125, 1306, 1366, 1167, 12620, 18716, 2765, 8478, 1199, 1170, 2076, 1455, 2683, 244, 1167, 1207, 9359, 2882, 22816, 121, 106, 106, 25542, 488, 106, 2606, 5809, 19951, 1349, 1132, 1125, 12620, 27798, 2803, 10600, 4634, 121, 1643, 19951, 1206, 1844, 3247, 1125, 1158, 17639, 16843, 1171, 22943, 1325, 1379, 1357, 1299, 4018, 1303, 1317, 5809, 1125, 10750, 1125, 2482, 22943, 1215, 1189, 4374, 4118, 4780, 11041, 7723, 244, 1215, 19961, 6767, 1105, 1227, 15211, 5416, 30450, 12620, 27798, 1299, 1313, 1158, 25898, 14701, 3693, 2482, 22943, 5206, 4018, 1303, 1215, 1189, 3419, 5416, 13619, 3190, 11247, 1173, 2850, 22631, 106, 106, 28870, 5825, 488, 106, 106, 27566, 2475, 1125, 12620, 27798, 12795, 21409, 121, 488, 106, 106, 10853, 488, 106, 106, 161, 4824, 1313, 1170, 9029, 1484, 25907, 1778, 1517, 1206, 10015, 1313, 1170, 9029, 1484, 25907, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 13996, 4304, 19727, 3582, 1299, 1318, 1226, 1224, 190, 10019, 1313, 1170, 7019, 2081, 9694, 244, 1125, 16324, 28688, 3926, 1124, 21809, 1313, 1158, 23361, 17802, 1125, 21836, 1125, 1643, 16271, 3840, 3551, 3736, 1327, 2357, 1313, 1158, 3734, 9533, 1125, 1158, 17734, 1366, 6488, 1162, 3701, 1313, 1158, 10660, 1125, 28064, 1317, 26015, 106, 106, 142, 1567, 1226, 1224, 190, 11551, 1303, 1299, 5350, 30960, 1214, 1382, 1158, 5646, 488, 126, 126, 1357, 20566, 1215, 1170, 7758, 1158, 5646, 488, 124, 130, 128, 121, 106, 106, 2606, 20958, 9556, 7774, 8446, 1300, 1158, 2811, 1196, 1362, 1182, 1227, 12179, 1202, 1507, 244, 1299, 3447, 1493, 244, 1188, 488, 128, 131, 7275, 1317, 8030, 1227, 29703, 1415, 1125, 8579, 121, 2932, 4779, 1304, 9570, 23672, 1107, 1299, 1185, 10641, 1215, 1158, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 19231, 3850, 2814, 1145, 5359, 1110, 8217, 1440, 7019, 2353, 1317, 3257, 1379, 2519, 27929, 1125, 488, 127, 131, 7275, 125, 2353, 1227, 12956, 1227, 8579, 1186, 488, 124, 132, 129, 127, 1215, 19654, 1895, 29051, 1389, 186, 1960, 1125, 488, 132, 132, 8793, 1653, 18032, 119, 2399, 8135, 23784, 1188, 1251, 10733, 1158, 3370, 1167, 26914, 1313, 4399, 6468, 1197, 11733, 6322, 11602, 1653, 488, 125, 123, 124, 127, 119, 1158, 2544, 1224, 190, 4304, 19727, 3582, 21801, 2335, 1711, 8539, 4084, 1357, 4665, 1561, 27929, 1188, 488, 129, 129, 7275, 125, 121, 106, 106, 2606, 8007, 106, 158, 1123, 17238, 1313, 1207, 8216, 1655, 175, 1346, 1158, 13996, 4304, 19727, 3582, 196, 1299, 22465, 1303, 1215, 1158, 17451, 4304, 19727, 3582, 1167, 1215, 1189, 1125, 1909, 2385, 10536, 21637, 1158, 17451, 1266, 1941, 121, 1768, 20906, 5209, 5999, 12179, 1722, 1257, 1207, 12179, 1722, 1202, 1507, 2357, 1233, 1740, 4748, 1643, 2307, 1174, 1232, 1167, 1321, 1986, 6631, 2814, 1132, 5815, 22072, 1835, 488, 129, 123, 123, 1167, 488, 131, 123, 123, 13061, 1469, 1318, 8468, 1125, 488, 130, 128, 123, 23882, 25869, 1548, 11594, 1160, 23672, 1107, 14547, 7775, 1199, 1299, 1158, 13792, 1109, 1774, 1188, 19398, 1334, 7207, 121, 1808, 25183, 14159, 1894, 6352, 20040, 1129, 1207, 488, 124, 127, 123, 123, 8680, 7041, 1186, 20963, 119, 1158, 8468, 1197, 25183, 14159, 1125, 24272, 25462, 1207, 488, 129, 23882, 25869, 1643, 11757, 8468, 16856, 1299, 1125, 488, 123, 119, 127, 19810, 12550, 1349, 1153, 1167, 1238, 2803, 3997, 488, 124, 126, 126, 3617, 2130, 17900, 1313, 16541, 3798, 106, 106, 4455, 5736, 106, 106, 1686, 26407, 1167, 3370, 106, 106, 3562, 2544, 1224, 190, 4304, 19727, 3582, 1299, 1189, 3601, 1125, 3968, 1256, 1207, 13012, 1227, 3151, 9586, 1167, 1189, 19391, 1188, 15349, 10193, 1256, 1207, 13012, 1197, 6311, 1167, 8483, 4391, 174, 5899, 1207, 19967, 1167, 1207, 31718, 1125, 21314, 19231, 2726, 3747, 4142, 1227, 6508, 7993, 5592, 1125, 1158, 1226, 1224, 1297, 1548, 27157, 9556, 7774, 1299, 28313, 30723, 3501, 5998, 6804, 1256, 22310, 1207, 6969, 1186, 1830, 2392, 2502, 1251, 15834, 1197, 12339, 11129, 1186, 2347, 183, 193, 1146, 2748, 119, 1723, 2072, 1186, 3260, 4058, 1167, 1186, 4351, 1116, 1869, 1603, 5258, 121, 6487, 2254, 2630, 2100, 1125, 7520, 1118, 1842, 1167, 1181, 19992, 1441, 11828, 2134, 7074, 1362, 1125, 14974, 1125, 1158, 2544, 1224, 190, 4304, 19727, 3582, 2004, 1913, 8347, 1234, 1188, 1158, 31215, 1197, 8787, 19034, 1842, 1125, 21314, 1200, 10646, 2757, 1158, 5735, 1125, 1158, 7051, 13509, 5907, 106, 106, 143, 244, 13521, 10330, 106, 106, 3562, 2544, 1224, 190, 4304, 19727, 3582, 1299, 10683, 1303, 1256, 1909, 8195, 23672, 2805, 3702, 1207, 15219, 2134, 1675, 9495, 28309, 1129, 1167, 2138, 5527, 3190, 5044, 1104, 1469, 4272, 190, 1197, 16651, 3835, 6584, 23101, 1125, 14894, 28205, 11137, 1508, 16401, 1473, 25911, 1167, 1125, 5228, 5682, 11336, 1203, 13476, 1125, 9083, 1309, 1158, 1226, 1224, 190, 5004, 1318, 18334, 5363, 1244, 1125, 11594, 1525, 1283, 237, 3967, 12496, 1297, 1814, 21363, 6564, 1299, 17413, 1188, 1158, 4272, 1125, 1158, 2132, 1538, 2857, 2391, 1197, 9590, 4987, 8138, 2392, 106, 106, 3562, 2544, 1224, 190, 4304, 19727, 3582, 10845, 1189, 1113, 5193, 1125, 20917, 1357, 2856, 1188, 21455, 1200, 10646, 2757, 488, 125, 123, 124, 128, 119, 1469, 11376, 2905, 2345, 3988, 1283, 31516, 1158, 20917, 1178, 23182, 121, 106, 106, 3742, 8494, 1125, 7331, 4184, 106, 106, 1686, 20963, 119, 1170, 15225, 1125, 1131, 1376, 175, 1281, 5854, 4796, 1170, 4319, 1227, 2879, 1125, 2578, 121, 2814, 1955, 4804, 20520, 1125, 24272, 1844, 2072, 1125, 1158, 13996, 1189, 3601, 14730, 3649, 1256, 1158, 1501, 23326, 121, 1653, 1913, 119, 1238, 5854, 1158, 24507, 9304, 10027, 1167, 1158, 12618, 121, 1653, 1913, 119, 1238, 1915, 7970, 23393, 1158, 16756, 19403, 121, 106, 106, 2809, 1195, 1128, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 27566, 1125, 1158, 2544, 1224, 190, 4304, 19727, 3582, 1323, 29408, 22038, 6372, 2544, 5901, 4304, 19727, 3582, 1323, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 1200, 10646, 106, 151, 1183, 28688, 3926, 1124, 21809, 1189, 7019, 2081, 9694, 244, 21308, 1774, 4304, 19727, 3582, 21308, 1774, 1266, 1941, 1922, 173, 1345, 191, 1255, 23128, 119, 1189, 1400, 173, 1345, 191, 1255, 1300, 1170, 8830, 1153, 5807, 23810, 6266, 1125, 21314, 25321, 1292, 106, 106, 3952, 2657, 4304, 19727, 3582, 25680, 1146, 1203, 1216, 1278, 1192, 1229, 11551, 1303, 1313, 1158, 17734, 1366, 6488, 27686, 2544, 2657, 1317, 8579, 1643, 16271, 3840, 3551, 3736, 1327, 244, 9670, 3801, 2490, 19344, 1197, 8216, 1655, 3436, 32001, 488, 106, 32000, 20036, 106, 3562, 13996, 4304, 19727, 3582, 1299, 1318, 13996, 10019, 1313, 1170, 7019, 2081, 16142, 1125, 16324, 28688, 3926, 1124, 21809, 1313, 1158, 23361, 17802, 1125, 21836, 1125, 1643, 16271, 3840, 3551, 3736, 1327, 2357, 1313, 1158, 3734, 9533, 1125, 1158, 17734, 1366, 6488, 1162, 3701, 1313, 1158, 10660, 1125, 28064, 1317, 26015, 106, 106, 142, 1567, 13996, 11551, 1303, 1299, 5350, 30960, 1214, 1215, 1158, 5646, 488, 126, 126, 1357, 20566, 1215, 1170, 7758, 1158, 5646, 488, 124, 130, 128, 121, 106, 106, 2606, 20958, 9556, 7774, 8446, 1300, 1158, 2811, 1196, 1362, 1182, 1227, 12179, 1202, 1507, 244, 1299, 2032, 14169, 1188, 488, 488, 128, 131, 7275, 1317, 8030, 1227, 29703, 1415, 1125, 8579, 121, 2932, 4779, 1304, 9570, 23672, 1107, 1299, 1185, 10641, 1215, 1158, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 19231, 3850, 2814, 1145, 5359, 1110, 8217, 1440, 7019, 2353, 1317, 7882, 2519, 27929, 1125, 488, 127, 131, 7275, 125, 2353, 1227, 12956, 1227, 8579, 1186, 488, 124, 132, 129, 127, 1215, 19654, 1895, 29051, 1389, 186, 1960, 1125, 488, 132, 132, 8793, 1653, 18032, 119, 2399, 8135, 26589, 1188, 1251, 10733, 1158, 3370, 1167, 26914, 1313, 4399, 13809, 1197, 11733, 6322, 11602, 1653, 488, 125, 123, 124, 127, 119, 1158, 2544, 2657, 4304, 19727, 3582, 21801, 2335, 1711, 8539, 4084, 1357, 4665, 1561, 27929, 1188, 488, 129, 129, 7275, 125, 121, 106, 106, 2606, 8007, 106, 158, 1123, 17238, 1313, 1207, 8216, 1655, 175, 1346, 1158, 13996, 4304, 19727, 3582, 1299, 22465, 1303, 1215, 1158, 17451, 4304, 19727, 3582, 1167, 1215, 1189, 1125, 1909, 2385, 10536, 21637, 1158, 17451, 1266, 1941, 121, 1768, 20906, 5209, 5999, 1158, 8644, 1257, 1207, 1158, 8644, 1202, 1507, 2357, 1233, 1740, 4748, 1643, 2307, 1174, 1232, 1167, 1321, 1986, 6631, 2814, 1132, 5815, 22072, 1835, 488, 129, 123, 123, 1167, 488, 131, 123, 123, 13061, 1469, 1318, 8468, 1125, 488, 130, 128, 123, 23882, 25869, 1548, 11594, 1160, 23672, 1107, 14547, 7775, 1199, 1299, 1158, 13792, 1109, 1774, 1188, 19398, 1334, 7207, 121, 1808, 25183, 14159, 1894, 6352, 20040, 1129, 1207, 488, 124, 127, 123, 123, 8680, 7041, 1186, 20963, 119, 1158, 8468, 1197, 25183, 14159, 1125, 24272, 25462, 1207, 488, 129, 23882, 25869, 1643, 11757, 8468, 16856, 1299, 1125, 488, 123, 119, 127, 19810, 12550, 1349, 1153, 1167, 1238, 2803, 3997, 488, 124, 126, 126, 3617, 2130, 17900, 1313, 16541, 3798, 106, 106, 4455, 5736, 106, 106, 1686, 26407, 1167, 3370, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 1299, 1189, 3601, 1125, 3968, 1256, 1207, 13012, 1227, 3151, 9586, 1167, 1189, 19391, 1188, 15349, 10193, 1256, 1207, 13012, 1197, 6311, 1167, 8483, 4391, 174, 5899, 1207, 19967, 1167, 1207, 31718, 1125, 21314, 19231, 2726, 3747, 4142, 1227, 6508, 7993, 5592, 1125, 1158, 13996, 121, 1548, 27157, 9556, 7774, 1299, 28313, 30723, 3501, 5998, 6804, 1256, 22310, 1207, 6969, 1186, 1830, 2392, 2502, 1251, 1844, 1197, 12339, 11129, 1186, 2347, 183, 193, 1146, 2748, 119, 1723, 2072, 1186, 3260, 4058, 1167, 1186, 4351, 1116, 1869, 1603, 5258, 121, 6487, 2254, 2630, 2100, 1125, 7520, 3327, 1167, 1181, 19992, 1441, 11828, 2134, 7074, 1362, 1125, 14974, 1125, 1158, 2544, 2657, 4304, 19727, 3582, 2004, 1913, 8347, 1234, 1188, 1158, 31215, 1197, 8787, 19034, 1842, 1125, 21314, 1200, 10646, 2757, 1158, 5735, 1125, 1158, 7051, 13509, 5907, 106, 106, 143, 244, 13521, 10330, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 1299, 10683, 1303, 1256, 1909, 8195, 23672, 2805, 3702, 1207, 15219, 2134, 1675, 9495, 28309, 1129, 1167, 2138, 5527, 3190, 5044, 1104, 1469, 4272, 190, 1197, 16651, 3835, 6584, 23101, 1125, 14894, 28205, 11137, 1508, 16401, 1473, 25911, 1167, 1125, 5228, 5682, 11336, 1203, 13476, 1125, 9083, 1309, 1158, 13996, 5004, 1318, 18334, 5363, 1244, 1125, 11594, 1525, 1283, 237, 3967, 12496, 1297, 1814, 21363, 6564, 1299, 17413, 1188, 1158, 4272, 1125, 1158, 2132, 1538, 2857, 2391, 1197, 9590, 4987, 8138, 2392, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 10845, 1189, 1113, 5193, 1125, 20917, 1357, 2856, 1188, 21455, 1200, 10646, 2757, 488, 125, 123, 124, 128, 119, 1469, 11376, 2905, 2345, 8802, 1283, 31516, 1158, 20917, 1178, 23182, 121, 106, 106, 3742, 8494, 1125, 7331, 4184, 106, 106, 1686, 20963, 119, 1170, 15225, 1125, 3080, 1281, 5854, 4796, 1170, 4319, 1227, 2879, 1125, 2578, 121, 2814, 1955, 4804, 20520, 1125, 24272, 1844, 2072, 1125, 1158, 13996, 1189, 3601, 14730, 3649, 1256, 1158, 1501, 23326, 121, 1653, 1913, 119, 1238, 5854, 1158, 24507, 9304, 10027, 1167, 1158, 12618, 121, 1653, 1913, 119, 1238, 1915, 7970, 23393, 1158, 16756, 19403, 121, 106, 106, 2809, 1195, 1128, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 27566, 1125, 1158, 2544, 2657, 4304, 19727, 3582, 1323, 29408, 22038, 6372, 2544, 2657, 4304, 19727, 3582, 1323, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 1200, 10646, 106, 151, 1183, 28688, 3926, 1124, 21809, 1189, 7019, 2081, 16142, 21308, 1774, 4304, 19727, 3582, 21308, 1774, 1266, 1941, 1922, 173, 1345, 191, 1255, 23128, 119, 1189, 1400, 173, 1345, 191, 1255, 1300, 1170, 8830, 1153, 5807, 23810, 6266, 1125, 21314, 25321, 1292, 106, 106, 145, 1345, 191, 4304, 19727, 3582, 19182, 1146, 2748, 1192, 1229, 11551, 1303, 1313, 1158, 17734, 1366, 6488, 27686, 2544, 2657, 1317, 8579, 1643, 16271, 3840, 3551, 3736, 1327, 244, 9670, 3801, 2490, 19344, 1197, 8216, 1655, 3436, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 13996, 4304, 19727, 3582, 1299, 1318, 13996, 10019, 1313, 1170, 7019, 2081, 16142, 1125, 16324, 28688, 3926, 1124, 21809, 1313, 1158, 23361, 17802, 1125, 21836, 1125, 1643, 16271, 3840, 3551, 3736, 1327, 2357, 1313, 1158, 3734, 9533, 1125, 1158, 17734, 1366, 6488, 1162, 3701, 1313, 1158, 10660, 1125, 28064, 1317, 26015, 106, 106, 142, 1567, 13996, 11551, 1303, 1299, 5350, 30960, 1214, 1215, 1158, 5646, 488, 126, 126, 1357, 20566, 1215, 1170, 7758, 1158, 5646, 488, 124, 130, 128, 121, 106, 106, 2606, 20958, 9556, 7774, 8446, 1300, 1158, 2811, 1196, 1362, 1182, 1227, 12179, 1202, 1507, 244, 1299, 2032, 14169, 1188, 488, 488, 128, 131, 7275, 1317, 8030, 1227, 29703, 1415, 1125, 8579, 121, 2932, 4779, 1304, 9570, 23672, 1107, 1299, 1185, 10641, 1215, 1158, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 19231, 3850, 2814, 1145, 5359, 1110, 8217, 1440, 7019, 2353, 1317, 7882, 2519, 27929, 1125, 488, 127, 131, 7275, 125, 2353, 1227, 12956, 1227, 8579, 1186, 488, 124, 132, 129, 127, 1215, 19654, 1895, 29051, 1389, 186, 1960, 1125, 488, 132, 132, 8793, 1653, 18032, 119, 2399, 8135, 26589, 1188, 1251, 10733, 1158, 3370, 1167, 26914, 1313, 4399, 13809, 1197, 11733, 6322, 11602, 1653, 488, 125, 123, 124, 127, 119, 1158, 2544, 2657, 4304, 19727, 3582, 21801, 2335, 1711, 8539, 4084, 1357, 4665, 1561, 27929, 1188, 488, 129, 129, 7275, 125, 121, 106, 106, 2606, 8007, 106, 158, 1123, 17238, 1313, 1207, 8216, 1655, 175, 1346, 1158, 13996, 4304, 19727, 3582, 1299, 22465, 1303, 1215, 1158, 17451, 4304, 19727, 3582, 1167, 1215, 1189, 1125, 1909, 2385, 10536, 21637, 1158, 17451, 1266, 1941, 121, 1768, 20906, 5209, 5999, 1158, 8644, 1257, 1207, 1158, 8644, 1202, 1507, 2357, 1233, 1740, 4748, 1643, 2307, 1174, 1232, 1167, 1321, 1986, 6631, 2814, 1132, 5815, 22072, 1835, 488, 129, 123, 123, 1167, 488, 131, 123, 123, 13061, 1469, 1318, 8468, 1125, 488, 130, 128, 123, 23882, 25869, 1548, 11594, 1160, 23672, 1107, 14547, 7775, 1199, 1299, 1158, 13792, 1109, 1774, 1188, 19398, 1334, 7207, 121, 1808, 25183, 14159, 1894, 6352, 20040, 1129, 1207, 488, 124, 127, 123, 123, 8680, 7041, 1186, 20963, 119, 1158, 8468, 1197, 25183, 14159, 1125, 24272, 25462, 1207, 488, 129, 23882, 25869, 1643, 11757, 8468, 16856, 1299, 1125, 488, 123, 119, 127, 19810, 12550, 1349, 1153, 1167, 1238, 2803, 3997, 488, 124, 126, 126, 3617, 2130, 17900, 1313, 16541, 3798, 106, 106, 4455, 5736, 106, 106, 1686, 26407, 1167, 3370, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 1299, 1189, 3601, 1125, 3968, 1256, 1207, 13012, 1227, 3151, 9586, 1167, 1189, 19391, 1188, 15349, 10193, 1256, 1207, 13012, 1197, 6311, 1167, 8483, 4391, 174, 5899, 1207, 19967, 1167, 1207, 31718, 1125, 21314, 19231, 2726, 3747, 4142, 1227, 6508, 7993, 5592, 1125, 1158, 13996, 121, 1548, 27157, 9556, 7774, 1299, 28313, 30723, 3501, 5998, 6804, 1256, 22310, 1207, 6969, 1186, 1830, 2392, 2502, 1251, 1844, 1197, 12339, 11129, 1186, 2347, 183, 193, 1146, 2748, 119, 1723, 2072, 1186, 3260, 4058, 1167, 1186, 4351, 1116, 1869, 1603, 5258, 121, 6487, 2254, 2630, 2100, 1125, 7520, 3327, 1167, 1181, 19992, 1441, 11828, 2134, 7074, 1362, 1125, 14974, 1125, 1158, 2544, 2657, 4304, 19727, 3582, 2004, 1913, 8347, 1234, 1188, 1158, 31215, 1197, 8787, 19034, 1842, 1125, 21314, 1200, 10646, 2757, 1158, 5735, 1125, 1158, 7051, 13509, 5907, 106, 106, 143, 244, 13521, 10330, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 1299, 10683, 1303, 1256, 1909, 8195, 23672, 2805, 3702, 1207, 15219, 2134, 1675, 9495, 28309, 1129, 1167, 2138, 5527, 3190, 5044, 1104, 1469, 4272, 190, 1197, 16651, 3835, 6584, 23101, 1125, 14894, 28205, 11137, 1508, 16401, 1473, 25911, 1167, 1125, 5228, 5682, 11336, 1203, 13476, 1125, 9083, 1309, 1158, 13996, 5004, 1318, 18334, 5363, 1244, 1125, 11594, 1525, 1283, 237, 3967, 12496, 1297, 1814, 21363, 6564, 1299, 17413, 1188, 1158, 4272, 1125, 1158, 2132, 1538, 2857, 2391, 1197, 9590, 4987, 8138, 2392, 106, 106, 3562, 2544, 2657, 4304, 19727, 3582, 10845, 1189, 1113, 5193, 1125, 20917, 1357, 2856, 1188, 21455, 1200, 10646, 2757, 488, 125, 123, 124, 128, 119, 1469, 11376, 2905, 2345, 8802, 1283, 31516, 1158, 20917, 1178, 23182, 121, 106, 106, 3742, 8494, 1125, 7331, 4184, 106, 106, 1686, 20963, 119, 1170, 15225, 1125, 3080, 1281, 5854, 4796, 1170, 4319, 1227, 2879, 1125, 2578, 121, 2814, 1955, 4804, 20520, 1125, 24272, 1844, 2072, 1125, 1158, 13996, 1189, 3601, 14730, 3649, 1256, 1158, 1501, 23326, 121, 1653, 1913, 119, 1238, 5854, 1158, 24507, 9304, 10027, 1167, 1158, 12618, 121, 1653, 1913, 119, 1238, 1915, 7970, 23393, 1158, 16756, 19403, 121, 106, 106, 2809, 1195, 1128, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 27566, 1125, 1158, 2544, 2657, 4304, 19727, 3582, 1323, 29408, 22038, 6372, 2544, 2657, 4304, 19727, 3582, 1323, 31215, 1125, 20000, 4054, 1167, 1125, 6431, 1137, 3125, 1125, 21455, 1200, 10646, 106, 151, 1183, 28688, 3926, 1124, 21809, 1189, 7019, 2081, 16142, 21308, 1774, 4304, 19727, 3582, 21308, 1774, 1266, 1941, 1922, 173, 1345, 191, 1255, 23128, 119, 1189, 1400, 173, 1345, 191, 1255, 1300, 1170, 8830, 1153, 5807, 23810, 6266, 1125, 21314, 25321, 1292, 106, 106, 145, 1345, 191, 4304, 19727, 3582, 19182, 1146, 2748, 1192, 1229, 11551, 1303, 1313, 1158, 17734, 1366, 6488, 27686, 2544, 2657, 1317, 8579, 1643, 16271, 3840, 3551, 3736, 1327, 244, 9670, 3801, 2490, 19344, 1197, 8216, 1655, 3436, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 148, 3166, 1306, 2469, 1243, 1130, 5661, 5252, 1170, 488, 128, 2798, 488, 124, 132, 125, 129, 1188, 12418, 5520, 1167, 19956, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1299, 1189, 31891, 1304, 3766, 2360, 1148, 1574, 7478, 26352, 106, 106, 141, 11741, 1167, 9245, 106, 148, 3166, 1306, 2469, 1243, 20374, 22589, 1214, 1158, 10254, 1469, 1252, 1687, 197, 2133, 1109, 7478, 1518, 1126, 2982, 1189, 1197, 1113, 4587, 2007, 1125, 1158, 7585, 1106, 1259, 1416, 12256, 1105, 3725, 1167, 1158, 4595, 16834, 23247, 1469, 7422, 1808, 1512, 2052, 197, 6200, 1188, 21455, 11069, 12487, 3261, 3923, 1977, 1188, 12418, 14768, 106, 106, 1686, 1408, 1125, 1594, 2498, 1125, 28619, 4819, 1527, 19353, 7328, 1561, 11521, 1186, 488, 124, 132, 131, 129, 1188, 1158, 7585, 1233, 2506, 1104, 178, 3291, 185, 1141, 3282, 1125, 12418, 5520, 1518, 1122, 1549, 179, 262, 1669, 1201, 1935, 234, 2596, 1768, 1299, 6711, 1227, 5809, 20130, 1125, 1158, 7676, 10903, 1304, 3766, 2360, 7017, 19321, 1125, 6344, 15223, 1527, 9900, 1856, 18123, 5427, 1227, 1594, 16421, 1188, 1282, 2061, 21106, 106, 106, 6880, 230, 22439, 1112, 1507, 1120, 2021, 2893, 18393, 1153, 2461, 1263, 10448, 1110, 12352, 1158, 7585, 1125, 8077, 1125, 1282, 3766, 2360, 1148, 7839, 15163, 4140, 6767, 197, 2765, 1313, 1189, 30940, 1125, 9259, 177, 25592, 11216, 1856, 2175, 4528, 1256, 1561, 6586, 488, 124, 132, 132, 128, 120, 132, 129, 121, 106, 106, 3562, 3247, 11419, 1125, 1594, 2498, 4933, 1313, 1170, 6468, 1125, 1282, 3766, 2360, 3212, 1170, 16653, 7229, 4392, 1125, 9443, 1167, 1125, 1158, 7585, 1125, 10822, 177, 1532, 121, 14301, 1858, 17033, 8185, 7839, 15163, 4140, 6767, 197, 2765, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1167, 4847, 1519, 4472, 1233, 3377, 2004, 1913, 18583, 1104, 1186, 3171, 15532, 21647, 1167, 2004, 1913, 1317, 22139, 1125, 4399, 5430, 237, 2931, 3672, 3171, 26059, 106, 106, 282, 19760, 14590, 4671, 17033, 8185, 133, 6767, 173, 1243, 1380, 13422, 1200, 2295, 1175, 124, 132, 128, 126, 1496, 1222, 1141, 1851, 172, 1277, 1325, 11821, 1175, 124, 132, 128, 130, 122, 128, 131, 1496, 7839, 15163, 4140, 6767, 7641, 1175, 124, 132, 129, 126, 122, 129, 127, 1496, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1175, 124, 132, 129, 130, 1496, 4847, 1519, 4472, 1233, 3377, 1175, 124, 132, 130, 128, 122, 130, 129, 116, 20357, 4726, 1632, 1167, 10822, 177, 1532, 1257, 2068, 191, 184, 262, 11164, 1213, 1107, 4523, 2461, 1199, 1108, 9572, 1124, 1512, 1496, 4148, 1306, 1154, 8502, 1210, 1109, 4497, 1172, 5778, 1496, 1772, 23627, 30261, 180, 1649, 109, 4698, 15918, 1334, 1125, 7088, 1496, 8670, 1108, 1108, 12013, 1132, 197, 1659, 4020, 1109, 12418, 197, 4698, 1124, 1512, 1496, 1204, 2066, 1334, 3486, 22843, 1810, 1350, 1620, 257, 22439, 1112, 10186, 3046, 2289, 16080, 1248, 2562, 189, 173, 14764, 1753, 1217, 191, 31384, 16080, 28319, 3176, 7194, 1132, 1273, 1496, 1352, 9171, 172, 4497, 1172, 5778, 1125, 9893, 116, 24070, 1257, 1204, 19244, 4101, 2295, 119, 1233, 6290, 1140, 3551, 6381, 1140, 3551, 25322, 1140, 3551, 2194, 6037, 3859, 1136, 1205, 119, 1522, 1107, 1144, 2194, 189, 6713, 1475, 186, 1496, 2841, 106, 106, 28119, 1109, 7683, 106, 2606, 488, 130, 2921, 488, 124, 132, 131, 126, 119, 1306, 2469, 1243, 20374, 14882, 1170, 3694, 1125, 7246, 9892, 12886, 1120, 12488, 172, 1197, 12220, 1227, 4637, 26798, 1125, 21396, 121, 1548, 488, 128, 2798, 488, 124, 132, 131, 126, 1561, 3837, 23082, 1366, 2435, 1878, 1130, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 1158, 3837, 1125, 12418, 14768, 106, 106, 5164, 14882, 2445, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 13457, 120, 4303, 19005, 119, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1158, 26509, 6111, 12132, 1574, 7478, 3556, 1197, 11733, 1167, 1197, 12594, 1215, 1170, 10079, 26798, 1167, 1158, 11961, 6064, 4078, 13076, 12132, 1256, 1207, 2882, 5931, 1153, 1571, 11384, 1125, 1158, 8085, 1125, 12418, 197, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 121, 32001, 488, 106, 32000, 20036, 106, 148, 3166, 1306, 2469, 1243, 1130, 5661, 5252, 1170, 488, 128, 2798, 488, 124, 132, 125, 129, 1188, 12418, 5520, 1167, 1251, 19956, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1299, 1189, 31891, 1304, 3766, 2360, 1148, 1574, 7478, 26352, 106, 106, 141, 11741, 1167, 9245, 106, 148, 3166, 1306, 2469, 1243, 20374, 22589, 1214, 1158, 10254, 1469, 1252, 1687, 197, 2133, 1109, 7478, 1518, 1126, 2982, 1189, 1197, 1113, 4587, 2007, 1125, 1158, 7585, 1106, 1259, 1416, 12256, 1105, 3725, 1167, 1158, 4595, 16834, 23247, 1469, 7422, 1808, 1512, 2052, 197, 6200, 1188, 21455, 11069, 12487, 3261, 3923, 1977, 1188, 12418, 14768, 106, 106, 1686, 1408, 1125, 1594, 2498, 1125, 28619, 4819, 1527, 19353, 7328, 1561, 11521, 1186, 488, 124, 132, 131, 129, 1188, 1158, 7585, 1233, 2506, 1104, 178, 3291, 185, 1141, 3282, 1125, 12418, 5520, 1518, 1122, 1549, 179, 262, 1669, 1201, 1935, 234, 2596, 1768, 1299, 6711, 1227, 5809, 20130, 1125, 1158, 7676, 10903, 1304, 3766, 2360, 7017, 19321, 1125, 6344, 15223, 1527, 9900, 1856, 18123, 5427, 1227, 1594, 16421, 1188, 1282, 2061, 21106, 106, 106, 6880, 230, 22439, 1112, 1507, 1120, 2021, 2893, 18393, 1153, 2461, 1263, 10448, 1110, 12352, 1158, 7585, 1125, 8077, 1125, 1282, 3766, 2360, 1148, 7839, 15163, 4140, 6767, 197, 2765, 1313, 1189, 30940, 1125, 9259, 177, 25592, 11216, 1856, 2175, 4528, 1256, 1561, 6586, 488, 124, 132, 132, 128, 120, 132, 129, 121, 106, 106, 3562, 3247, 11419, 1125, 1594, 2498, 4933, 1313, 1170, 6468, 1125, 1282, 3766, 2360, 3212, 1170, 16653, 7229, 4392, 1125, 9443, 1167, 1125, 1158, 7585, 1125, 10822, 177, 1532, 121, 14301, 1858, 17033, 8185, 7839, 15163, 4140, 6767, 197, 2765, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1167, 4847, 1519, 4472, 1233, 3377, 2004, 1913, 18583, 1104, 1186, 3171, 15532, 21647, 1167, 2004, 1913, 1317, 22139, 1125, 4399, 5430, 237, 2931, 3672, 3171, 26059, 106, 106, 282, 19760, 14590, 4671, 17033, 8185, 133, 6767, 173, 1243, 1380, 13422, 1200, 2295, 1175, 124, 132, 128, 126, 1496, 1222, 1141, 1851, 172, 1277, 1325, 11821, 1175, 124, 132, 128, 130, 122, 128, 131, 1496, 7839, 15163, 4140, 6767, 7641, 1175, 124, 132, 129, 126, 122, 129, 127, 1496, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1175, 124, 132, 129, 130, 1496, 4847, 1519, 4472, 1233, 3377, 1175, 124, 132, 130, 128, 122, 130, 129, 116, 20357, 4726, 1632, 1167, 10822, 177, 1532, 1257, 2068, 191, 184, 262, 11164, 1213, 1107, 4523, 2461, 1199, 1108, 114, 9572, 1124, 1512, 1496, 4148, 1306, 1154, 8502, 1210, 1109, 4497, 1172, 5778, 1496, 1772, 23627, 30261, 180, 1649, 109, 4698, 15918, 1334, 1125, 7088, 1496, 8670, 1108, 1108, 12013, 1132, 197, 1659, 4020, 1109, 12418, 197, 4698, 1124, 1512, 1496, 1204, 2066, 1334, 3486, 22843, 1810, 1350, 1620, 257, 22439, 1112, 10186, 3046, 2289, 16080, 1248, 2562, 189, 173, 14764, 1753, 1217, 191, 31384, 16080, 28319, 3176, 7194, 1132, 1273, 1496, 1352, 9171, 172, 4497, 1172, 5778, 1125, 9893, 116, 24070, 1257, 1204, 19244, 4101, 2295, 119, 1233, 6290, 1140, 3551, 6381, 1140, 3551, 25322, 1140, 3551, 2194, 6037, 3859, 1136, 1205, 119, 1522, 1107, 1144, 2194, 189, 6713, 1475, 186, 1496, 2841, 106, 106, 28119, 1109, 7683, 106, 2606, 488, 130, 2921, 488, 124, 132, 131, 126, 119, 1306, 2469, 1243, 20374, 14882, 1170, 3694, 1125, 7246, 9892, 12886, 1120, 12488, 172, 1197, 12220, 1227, 4637, 26798, 1125, 21396, 121, 1548, 488, 128, 2798, 488, 124, 132, 131, 126, 1561, 3837, 23082, 1366, 2435, 1878, 1130, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 1158, 3837, 1125, 12418, 14768, 106, 106, 5164, 14882, 2445, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 13457, 120, 4303, 19005, 119, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1158, 26509, 6111, 12132, 1574, 7478, 3556, 1197, 11733, 1167, 1197, 12594, 1215, 1170, 10079, 26798, 1167, 1158, 11961, 6064, 4078, 13076, 12132, 1256, 1207, 2882, 5931, 1153, 1571, 11384, 1125, 1158, 8085, 1125, 12418, 197, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 148, 3166, 1306, 2469, 1243, 1130, 5661, 5252, 1170, 488, 128, 2798, 488, 124, 132, 125, 129, 1188, 12418, 5520, 1167, 1251, 19956, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1299, 1189, 31891, 1304, 3766, 2360, 1148, 1574, 7478, 26352, 106, 106, 141, 11741, 1167, 9245, 106, 148, 3166, 1306, 2469, 1243, 20374, 22589, 1214, 1158, 10254, 1469, 1252, 1687, 197, 2133, 1109, 7478, 1518, 1126, 2982, 1189, 1197, 1113, 4587, 2007, 1125, 1158, 7585, 1106, 1259, 1416, 12256, 1105, 3725, 1167, 1158, 4595, 16834, 23247, 1469, 7422, 1808, 1512, 2052, 197, 6200, 1188, 21455, 11069, 12487, 3261, 3923, 1977, 1188, 12418, 14768, 106, 106, 1686, 1408, 1125, 1594, 2498, 1125, 28619, 4819, 1527, 19353, 7328, 1561, 11521, 1186, 488, 124, 132, 131, 129, 1188, 1158, 7585, 1233, 2506, 1104, 178, 3291, 185, 1141, 3282, 1125, 12418, 5520, 1518, 1122, 1549, 179, 262, 1669, 1201, 1935, 234, 2596, 1768, 1299, 6711, 1227, 5809, 20130, 1125, 1158, 7676, 10903, 1304, 3766, 2360, 7017, 19321, 1125, 6344, 15223, 1527, 9900, 1856, 18123, 5427, 1227, 1594, 16421, 1188, 1282, 2061, 21106, 106, 106, 6880, 230, 22439, 1112, 1507, 1120, 2021, 2893, 18393, 1153, 2461, 1263, 10448, 1110, 12352, 1158, 7585, 1125, 8077, 1125, 1282, 3766, 2360, 1148, 7839, 15163, 4140, 6767, 197, 2765, 1313, 1189, 30940, 1125, 9259, 177, 25592, 11216, 1856, 2175, 4528, 1256, 1561, 6586, 488, 124, 132, 132, 128, 120, 132, 129, 121, 106, 106, 3562, 3247, 11419, 1125, 1594, 2498, 4933, 1313, 1170, 6468, 1125, 1282, 3766, 2360, 3212, 1170, 16653, 7229, 4392, 1125, 9443, 1167, 1125, 1158, 7585, 1125, 10822, 177, 1532, 121, 14301, 1858, 17033, 8185, 7839, 15163, 4140, 6767, 197, 2765, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1167, 4847, 1519, 4472, 1233, 3377, 2004, 1913, 18583, 1104, 1186, 3171, 15532, 21647, 1167, 2004, 1913, 1317, 22139, 1125, 4399, 5430, 237, 2931, 3672, 3171, 26059, 106, 106, 282, 19760, 14590, 4671, 17033, 8185, 133, 6767, 173, 1243, 1380, 13422, 1200, 2295, 1175, 124, 132, 128, 126, 1496, 1222, 1141, 1851, 172, 1277, 1325, 11821, 1175, 124, 132, 128, 130, 122, 128, 131, 1496, 7839, 15163, 4140, 6767, 7641, 1175, 124, 132, 129, 126, 122, 129, 127, 1496, 2068, 1328, 17031, 15424, 9905, 3984, 187, 9556, 1175, 124, 132, 129, 130, 1496, 4847, 1519, 4472, 1233, 3377, 1175, 124, 132, 130, 128, 122, 130, 129, 116, 20357, 4726, 1632, 1167, 10822, 177, 1532, 1257, 2068, 191, 184, 262, 11164, 1213, 1107, 4523, 2461, 1199, 1108, 114, 9572, 1124, 1512, 1496, 4148, 1306, 1154, 8502, 1210, 1109, 4497, 1172, 5778, 1496, 1772, 23627, 30261, 180, 1649, 109, 4698, 15918, 1334, 1125, 7088, 1496, 8670, 1108, 1108, 12013, 1132, 197, 1659, 4020, 1109, 12418, 197, 4698, 1124, 1512, 1496, 1204, 2066, 1334, 3486, 22843, 1810, 1350, 1620, 257, 22439, 1112, 10186, 3046, 2289, 16080, 1248, 2562, 189, 173, 14764, 1753, 1217, 191, 31384, 16080, 28319, 3176, 7194, 1132, 1273, 1496, 1352, 9171, 172, 4497, 1172, 5778, 1125, 9893, 116, 24070, 1257, 1204, 19244, 4101, 2295, 119, 1233, 6290, 1140, 3551, 6381, 1140, 3551, 25322, 1140, 3551, 2194, 6037, 3859, 1136, 1205, 119, 1522, 1107, 1144, 2194, 189, 6713, 1475, 186, 1496, 2841, 106, 106, 28119, 1109, 7683, 106, 2606, 488, 130, 2921, 488, 124, 132, 131, 126, 119, 1306, 2469, 1243, 20374, 14882, 1170, 3694, 1125, 7246, 9892, 12886, 1120, 12488, 172, 1197, 12220, 1227, 4637, 26798, 1125, 21396, 121, 1548, 488, 128, 2798, 488, 124, 132, 131, 126, 1561, 3837, 23082, 1366, 2435, 1878, 1130, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 1158, 3837, 1125, 12418, 14768, 106, 106, 5164, 14882, 2445, 1158, 9915, 2961, 1125, 1158, 3908, 1125, 13457, 120, 4303, 19005, 119, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 1158, 26509, 6111, 12132, 1574, 7478, 3556, 1197, 11733, 1167, 1197, 12594, 1215, 1170, 10079, 26798, 1167, 1158, 11961, 6064, 4078, 13076, 12132, 1256, 1207, 2882, 5931, 1153, 1571, 11384, 1125, 1158, 8085, 1125, 12418, 197, 1170, 488, 124, 123, 2829, 488, 125, 123, 123, 125, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 153, 27119, 175, 1314, 1222, 1378, 1780, 11345, 177, 1593, 1143, 197, 1276, 12987, 3649, 6291, 1780, 1496, 2690, 1248, 1519, 8442, 5252, 1115, 488, 125, 126, 2578, 488, 124, 132, 125, 131, 1188, 2893, 7726, 1167, 4541, 1170, 488, 125, 132, 2578, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 30442, 4414, 106, 106, 157, 21467, 1317, 13728, 119, 1527, 16773, 1115, 1416, 1731, 1197, 19301, 1125, 1282, 2115, 153, 1188, 9231, 181, 3708, 1186, 488, 124, 132, 128, 130, 2567, 1304, 15934, 5824, 17902, 17835, 3407, 4610, 1175, 3244, 146, 116, 1227, 9644, 1140, 7358, 9433, 1354, 2596, 106, 106, 1686, 488, 124, 132, 129, 125, 119, 1527, 3975, 18716, 3871, 27587, 17876, 17433, 14867, 1856, 14698, 4610, 2648, 1856, 10502, 1227, 7252, 11866, 121, 6982, 2782, 5285, 244, 1856, 8328, 1227, 7252, 13701, 1317, 5545, 1197, 2069, 7790, 4617, 7260, 5519, 179, 9433, 6507, 16906, 1810, 1527, 1971, 18471, 5328, 1227, 7252, 1186, 488, 124, 132, 129, 127, 1167, 1440, 22571, 488, 124, 132, 129, 132, 121, 106, 106, 2951, 1158, 18908, 1527, 27254, 1197, 17230, 1304, 2724, 18642, 1136, 1317, 13728, 1113, 1670, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 22571, 488, 124, 132, 131, 127, 121, 106, 106, 145, 2150, 190, 488, 106, 488, 1323, 488, 124, 132, 129, 125, 1257, 4291, 25013, 1293, 185, 8464, 1125, 1115, 244, 195, 1168, 192, 1533, 17876, 1445, 106, 488, 1323, 488, 124, 132, 129, 125, 120, 124, 132, 129, 127, 1257, 1539, 18087, 1227, 7252, 13831, 192, 5693, 1227, 21295, 1571, 10934, 7568, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 17608, 1227, 7252, 13701, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 24752, 1227, 7252, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1317, 13728, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 106, 106, 20634, 1167, 5474, 106, 106, 10026, 11052, 488, 106, 2324, 1119, 14609, 14183, 3708, 106, 106, 153, 1298, 1336, 1186, 2578, 488, 124, 132, 125, 131, 106, 31133, 1467, 1186, 2578, 488, 125, 123, 125, 123, 106, 11775, 3531, 30442, 1108, 1227, 19840, 106, 153, 1298, 1336, 1188, 2893, 7726, 106, 140, 1377, 18642, 1136, 16003, 17276, 1317, 13728, 106, 12268, 1955, 1274, 1119, 10577, 30442, 1108, 3672, 1158, 6545, 16003, 178, 1550, 2596, 32001, 488, 106, 32000, 20036, 106, 153, 27119, 175, 1314, 1222, 1378, 1780, 11345, 9758, 16790, 2430, 3649, 6291, 1780, 1496, 488, 2690, 1248, 1519, 8442, 488, 5252, 1170, 488, 125, 126, 2578, 488, 124, 132, 125, 131, 1188, 2893, 7726, 1167, 4541, 1170, 488, 125, 132, 2578, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 30442, 4414, 106, 106, 157, 21467, 1317, 13728, 119, 1527, 16773, 19543, 1197, 19301, 1125, 1282, 2115, 153, 1188, 9231, 181, 3708, 1186, 488, 124, 132, 128, 130, 2567, 1304, 15934, 5824, 17902, 17835, 3407, 4610, 1175, 3244, 146, 116, 1227, 9644, 1140, 7358, 9433, 1354, 2596, 106, 106, 1686, 488, 124, 132, 129, 125, 119, 1527, 29698, 3871, 27587, 17876, 17433, 14867, 1856, 14698, 4610, 2648, 1856, 10502, 1227, 7252, 11866, 121, 6982, 2782, 5285, 244, 1856, 8328, 1227, 7252, 13701, 1317, 5545, 1197, 2069, 7790, 4617, 7260, 5519, 179, 9433, 6507, 16906, 1810, 1527, 1971, 18471, 5328, 1227, 7252, 1186, 488, 124, 132, 129, 127, 1167, 1440, 22571, 488, 124, 132, 129, 132, 121, 106, 106, 2951, 1158, 18908, 1527, 27254, 1197, 17230, 1304, 2724, 18642, 1136, 1317, 13728, 2648, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 22571, 488, 124, 132, 131, 127, 121, 106, 106, 145, 2150, 190, 488, 106, 488, 1323, 488, 124, 132, 129, 125, 1257, 4291, 25013, 19230, 1125, 3871, 27587, 24080, 106, 488, 1323, 488, 124, 132, 129, 125, 120, 124, 132, 129, 127, 1257, 24821, 244, 1227, 7252, 11866, 5693, 1227, 21295, 1571, 10934, 13441, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 17608, 1227, 7252, 13701, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 24752, 1227, 7252, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1317, 13728, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 106, 106, 20634, 1167, 5474, 106, 106, 10026, 11052, 488, 106, 2324, 1119, 14609, 14183, 3708, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 125, 131, 106, 31133, 1467, 1186, 2578, 488, 125, 123, 125, 123, 106, 11775, 3531, 30442, 1108, 1227, 19840, 106, 153, 3400, 1188, 2893, 7726, 106, 140, 1377, 18642, 1136, 16003, 17276, 1317, 13728, 106, 12268, 1955, 1274, 1119, 10577, 30442, 1108, 3672, 1158, 6545, 16003, 17276, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 27119, 175, 1314, 1222, 1378, 1780, 11345, 9758, 16790, 2430, 3649, 6291, 1780, 1496, 488, 2690, 1248, 1519, 8442, 488, 5252, 1170, 488, 125, 126, 2578, 488, 124, 132, 125, 131, 1188, 2893, 7726, 1167, 4541, 1170, 488, 125, 132, 2578, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 30442, 4414, 106, 106, 157, 21467, 1317, 13728, 119, 1527, 16773, 19543, 1197, 19301, 1125, 1282, 2115, 153, 1188, 9231, 181, 3708, 1186, 488, 124, 132, 128, 130, 2567, 1304, 15934, 5824, 17902, 17835, 3407, 4610, 1175, 3244, 146, 116, 1227, 9644, 1140, 7358, 9433, 1354, 2596, 106, 106, 1686, 488, 124, 132, 129, 125, 119, 1527, 29698, 3871, 27587, 17876, 17433, 14867, 1856, 14698, 4610, 2648, 1856, 10502, 1227, 7252, 11866, 121, 6982, 2782, 5285, 244, 1856, 8328, 1227, 7252, 13701, 1317, 5545, 1197, 2069, 7790, 4617, 7260, 5519, 179, 9433, 6507, 16906, 1810, 1527, 1971, 18471, 5328, 1227, 7252, 1186, 488, 124, 132, 129, 127, 1167, 1440, 22571, 488, 124, 132, 129, 132, 121, 106, 106, 2951, 1158, 18908, 1527, 27254, 1197, 17230, 1304, 2724, 18642, 1136, 1317, 13728, 2648, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 22571, 488, 124, 132, 131, 127, 121, 106, 106, 145, 2150, 190, 488, 106, 488, 1323, 488, 124, 132, 129, 125, 1257, 4291, 25013, 19230, 1125, 3871, 27587, 24080, 106, 488, 1323, 488, 124, 132, 129, 125, 120, 124, 132, 129, 127, 1257, 24821, 244, 1227, 7252, 11866, 5693, 1227, 21295, 1571, 10934, 13441, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 17608, 1227, 7252, 13701, 106, 488, 1323, 488, 124, 132, 129, 127, 120, 124, 132, 129, 132, 1257, 24752, 1227, 7252, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1317, 13728, 106, 488, 1323, 488, 124, 132, 129, 132, 120, 124, 132, 131, 127, 1257, 16691, 18642, 1136, 1186, 19933, 1416, 1180, 25756, 8297, 1214, 106, 106, 20634, 1167, 5474, 106, 106, 10026, 11052, 488, 106, 2324, 1119, 14609, 14183, 3708, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 125, 131, 106, 31133, 1467, 1186, 2578, 488, 125, 123, 125, 123, 106, 11775, 3531, 30442, 1108, 1227, 19840, 106, 153, 3400, 1188, 2893, 7726, 106, 140, 1377, 18642, 1136, 16003, 17276, 1317, 13728, 106, 12268, 1955, 1274, 1119, 10577, 30442, 1108, 3672, 1158, 6545, 16003, 17276, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 488, 126, 175, 15245, 10161, 1430, 1173, 10678, 2548, 1299, 1189, 7969, 1217, 2548, 1304, 1273, 6361, 16875, 7786, 1125, 1282, 2029, 2580, 6716, 5859, 15068, 25232, 7761, 116, 3257, 2388, 1125, 6389, 1187, 15068, 15245, 13537, 121, 106, 106, 142, 1568, 244, 1186, 488, 124, 132, 127, 124, 1113, 1670, 26893, 1186, 488, 124, 132, 127, 130, 1175, 6305, 1158, 22925, 12507, 10999, 1496, 1527, 1299, 1338, 3846, 244, 1186, 488, 124, 132, 132, 123, 2567, 1318, 14246, 1162, 1186, 488, 125, 123, 124, 130, 121, 106, 106, 6880, 8722, 1217, 2548, 3031, 20031, 1188, 1158, 4847, 2348, 1263, 5859, 15068, 10613, 119, 1313, 1170, 11681, 1217, 2181, 106, 106, 216, 1282, 5668, 3603, 28359, 488, 126, 175, 10272, 16027, 1173, 10678, 2548, 3294, 1439, 488, 126, 175, 10272, 16027, 4597, 1396, 3400, 1173, 10678, 24525, 1527, 10515, 2335, 7969, 1217, 2548, 1125, 14696, 7669, 7165, 106, 106, 19865, 10161, 1430, 1173, 10678, 2548, 488, 123, 123, 123, 126, 106, 2029, 1348, 1362, 3968, 11894, 9601, 1186, 488, 124, 132, 127, 124, 121, 32001, 488, 106, 32000, 20036, 106, 2606, 488, 126, 175, 15245, 10161, 1430, 1173, 10678, 2548, 1299, 1189, 7969, 1217, 2548, 1304, 1273, 6361, 16875, 7786, 1125, 1282, 2029, 2580, 6716, 5859, 15068, 25232, 7761, 116, 3257, 2388, 1125, 6389, 1187, 15068, 15245, 13537, 121, 106, 106, 142, 1568, 244, 1186, 488, 124, 132, 127, 124, 2648, 26893, 1186, 488, 124, 132, 127, 130, 1175, 6305, 1158, 22925, 12507, 10999, 1496, 1527, 1299, 1338, 3846, 244, 1186, 488, 124, 132, 132, 123, 2567, 1318, 14246, 1162, 1186, 488, 125, 123, 124, 130, 121, 106, 106, 6880, 8722, 1217, 2548, 3031, 20031, 1188, 1158, 4847, 2348, 1263, 5859, 15068, 10613, 119, 1313, 1170, 11681, 1217, 2181, 106, 106, 216, 1282, 5668, 3603, 12688, 488, 126, 175, 10272, 16027, 1173, 10678, 2548, 2648, 488, 126, 175, 10272, 16027, 4597, 1396, 3400, 1173, 10678, 24525, 1527, 10515, 2335, 7969, 1217, 2548, 1125, 14696, 7669, 7165, 106, 106, 19865, 10161, 1430, 1173, 10678, 2548, 488, 123, 123, 123, 126, 106, 2029, 1348, 1362, 3968, 11894, 16233, 1186, 488, 124, 132, 127, 124, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 488, 126, 175, 15245, 10161, 1430, 1173, 10678, 2548, 1299, 1189, 7969, 1217, 2548, 1304, 1273, 6361, 16875, 7786, 1125, 1282, 2029, 2580, 6716, 5859, 15068, 25232, 7761, 116, 3257, 2388, 1125, 6389, 1187, 15068, 15245, 13537, 121, 106, 106, 142, 1568, 244, 1186, 488, 124, 132, 127, 124, 2648, 26893, 1186, 488, 124, 132, 127, 130, 1175, 6305, 1158, 22925, 12507, 10999, 1496, 1527, 1299, 1338, 3846, 244, 1186, 488, 124, 132, 132, 123, 2567, 1318, 14246, 1162, 1186, 488, 125, 123, 124, 130, 121, 106, 106, 6880, 8722, 1217, 2548, 3031, 20031, 1188, 1158, 4847, 2348, 1263, 5859, 15068, 10613, 119, 1313, 1170, 11681, 1217, 2181, 106, 106, 216, 1282, 5668, 3603, 12688, 488, 126, 175, 10272, 16027, 1173, 10678, 2548, 2648, 488, 126, 175, 10272, 16027, 4597, 1396, 3400, 1173, 10678, 24525, 1527, 10515, 2335, 7969, 1217, 2548, 1125, 14696, 7669, 7165, 106, 106, 19865, 10161, 1430, 1173, 10678, 2548, 488, 123, 123, 123, 126, 106, 2029, 1348, 1362, 3968, 11894, 16233, 1186, 488, 124, 132, 127, 124, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 2606, 13587, 1352, 2636, 1299, 1189, 13587, 488, 124, 128, 124, 1127, 8050, 2102, 8446, 1188, 24732, 2433, 1186, 12350, 106, 106, 15581, 4521, 106, 2606, 13587, 1299, 8446, 1313, 1170, 5927, 2720, 1227, 1198, 2162, 119, 1300, 1158, 4813, 16003, 173, 3266, 1768, 11203, 1123, 1170, 1198, 2162, 121, 106, 106, 5164, 1299, 10689, 1313, 1170, 29877, 1125, 1158, 5499, 1303, 3391, 2645, 1273, 1366, 16003, 9046, 27172, 1317, 11639, 14610, 1125, 1282, 3600, 27662, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 147, 15376, 106, 2606, 18564, 1227, 1198, 2162, 119, 7200, 3365, 11102, 1140, 1370, 1188, 1282, 5668, 3603, 1110, 1913, 13826, 1835, 488, 124, 123, 126, 128, 1167, 488, 124, 123, 127, 125, 121, 1808, 5737, 1207, 1408, 22891, 1904, 4169, 11041, 4012, 1129, 11103, 1227, 2271, 25525, 6298, 121, 3767, 7882, 119, 4202, 1754, 5548, 119, 1527, 1288, 1917, 2298, 1382, 1170, 9251, 1197, 2131, 23850, 1457, 1808, 23719, 1508, 5192, 1473, 1188, 9823, 1304, 1119, 5894, 1362, 1131, 10698, 6111, 4889, 121, 106, 106, 17971, 2271, 31549, 6298, 18993, 173, 6768, 1835, 488, 124, 125, 126, 123, 1167, 488, 124, 125, 127, 123, 1496, 1170, 13587, 1299, 1685, 8414, 1635, 121, 1814, 16779, 1272, 1299, 3042, 18400, 1188, 24570, 1227, 13587, 119, 1906, 3365, 2666, 27747, 244, 1309, 1197, 4274, 6096, 3839, 2260, 2995, 1234, 4796, 488, 124, 124, 132, 126, 121, 2499, 1890, 1207, 23719, 1508, 4398, 1473, 1856, 1170, 6216, 1245, 1170, 5797, 4010, 16003, 9046, 4012, 1199, 1125, 488, 124, 125, 127, 128, 121, 14019, 1170, 5797, 4010, 14061, 1309, 1207, 1893, 1221, 1285, 7184, 1701, 1362, 4541, 1285, 1508, 4398, 4413, 1548, 24209, 1160, 1125, 3090, 1285, 14867, 24166, 1571, 5119, 1137, 1883, 2648, 1571, 1281, 2042, 1392, 2682, 245, 1485, 16003, 173, 2433, 1299, 1215, 1158, 3011, 1318, 2260, 5101, 1985, 4343, 1148, 1571, 5852, 190, 16003, 9046, 1186, 488, 124, 125, 129, 132, 121, 1548, 13587, 22500, 1317, 4764, 27271, 1167, 5514, 1125, 1158, 25109, 2576, 9051, 2442, 3361, 1389, 12425, 1188, 1282, 18369, 1227, 13587, 1723, 2072, 1197, 1878, 29261, 1125, 1158, 25109, 106, 106, 17971, 2271, 4996, 176, 19565, 1197, 14855, 1508, 13826, 1104, 1300, 1207, 6570, 2007, 1227, 13587, 3143, 1125, 6313, 1158, 5197, 1227, 13587, 1408, 2429, 18856, 1548, 13587, 1352, 2636, 25244, 3042, 1317, 1202, 14504, 1352, 1168, 1210, 2504, 1125, 7529, 7190, 4466, 14855, 1508, 13390, 21501, 2750, 1158, 2669, 1277, 1125, 488, 124, 130, 129, 129, 121, 106, 106, 1686, 488, 124, 131, 125, 123, 119, 1561, 12934, 1303, 1299, 4366, 1942, 1303, 1167, 27426, 1214, 3143, 1125, 6292, 1170, 3664, 25989, 1197, 2131, 1112, 8185, 3498, 1105, 3123, 1188, 5999, 4089, 1457, 2576, 1124, 4096, 2687, 1168, 1197, 2069, 1113, 3045, 8918, 2252, 1125, 1158, 2811, 1196, 8632, 1299, 14773, 244, 2079, 8425, 1132, 11781, 1309, 1282, 4691, 1186, 1138, 3415, 7424, 4110, 1465, 1670, 1300, 1207, 15013, 2687, 1168, 190, 3495, 1701, 1256, 1207, 2905, 6570, 1457, 4511, 13680, 24990, 1207, 2567, 2687, 1168, 190, 1508, 2827, 4586, 1234, 1167, 1964, 3247, 13052, 1299, 1685, 8414, 5563, 3143, 1125, 26116, 1197, 1400, 8644, 1186, 2170, 10584, 1378, 3041, 1548, 13587, 1125, 8791, 1299, 2445, 3360, 245, 1585, 1125, 21179, 12041, 106, 106, 6880, 1740, 28567, 1299, 14399, 1317, 3694, 1197, 19574, 17104, 1170, 488, 125, 126, 3201, 488, 124, 132, 125, 124, 121, 32001, 488, 106, 32000, 20036, 106, 2606, 13587, 1352, 2636, 1299, 1189, 13587, 2102, 1125, 488, 124, 128, 124, 13061, 8446, 1188, 24732, 2433, 1186, 12350, 106, 106, 15581, 4521, 106, 2606, 13587, 1299, 8446, 1313, 1170, 5927, 2720, 1227, 1198, 2162, 119, 1300, 1158, 4813, 16003, 173, 3266, 1768, 11203, 1123, 1170, 1198, 2162, 121, 106, 106, 5164, 1299, 10689, 1313, 1170, 29877, 1125, 1158, 18714, 3391, 2645, 1273, 1366, 16003, 9046, 27172, 1317, 11639, 14610, 1125, 1282, 3600, 27662, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 147, 15376, 106, 2606, 18564, 1227, 1198, 2162, 119, 7200, 3365, 11102, 1140, 1370, 1188, 1282, 5668, 3603, 1110, 1913, 13826, 1835, 488, 124, 123, 126, 128, 1167, 488, 124, 123, 127, 125, 121, 1808, 5737, 1207, 1408, 22891, 1904, 4169, 11041, 4012, 1129, 11103, 1227, 2271, 25525, 6298, 121, 3767, 7882, 119, 4202, 1754, 5548, 119, 1527, 1288, 2856, 1382, 1170, 9251, 1197, 2131, 23850, 1457, 1808, 23719, 1508, 5192, 1473, 1188, 9823, 1304, 1119, 5894, 1362, 1131, 10698, 6111, 4889, 121, 106, 106, 17971, 2271, 31549, 6298, 18993, 173, 6768, 1835, 488, 124, 125, 126, 123, 1167, 488, 124, 125, 127, 123, 1496, 1170, 13587, 1299, 1685, 8414, 1635, 121, 1814, 16779, 1272, 1299, 3042, 18400, 1188, 24570, 1227, 13587, 119, 1906, 3365, 2666, 27747, 244, 1309, 1197, 4274, 6096, 3839, 2260, 2995, 1234, 4796, 488, 124, 124, 132, 126, 121, 2499, 3093, 1207, 23719, 1508, 4398, 1473, 1856, 1170, 6216, 1245, 1170, 5797, 4010, 16003, 9046, 4012, 1199, 1125, 488, 124, 125, 127, 128, 121, 14019, 1170, 5797, 4010, 14061, 1309, 1207, 1893, 1221, 1285, 7184, 1701, 1362, 4541, 1285, 1508, 4398, 4413, 1548, 24209, 1160, 1125, 3090, 1285, 14867, 24166, 1571, 5119, 1137, 1883, 2648, 1571, 1281, 2042, 1392, 2682, 245, 1485, 16003, 173, 2433, 1299, 1215, 1158, 3011, 1318, 2260, 5101, 1985, 4343, 1148, 1571, 5852, 190, 16003, 9046, 1186, 488, 124, 125, 129, 132, 121, 1548, 13587, 22500, 1317, 4764, 27271, 1167, 5514, 1125, 1158, 25109, 2576, 9051, 2442, 3361, 1389, 12425, 1188, 1282, 18369, 1227, 13587, 1723, 2072, 1197, 1878, 29261, 1125, 1158, 25109, 106, 106, 17971, 2271, 4996, 176, 19565, 1197, 14855, 1508, 13826, 1104, 1300, 1207, 6570, 2007, 1227, 13587, 3143, 1125, 6313, 1158, 5197, 1227, 13587, 1408, 2429, 18856, 1548, 13587, 1352, 2636, 25244, 3042, 1317, 1202, 14504, 1352, 1168, 1210, 2504, 1125, 7529, 7190, 4466, 14855, 1508, 13390, 21501, 2750, 1158, 2669, 1277, 1125, 488, 124, 130, 129, 129, 121, 106, 106, 1686, 488, 124, 131, 125, 123, 119, 1561, 12934, 1303, 1299, 4366, 1942, 1303, 1167, 27426, 1214, 3143, 1125, 6292, 1170, 3664, 25989, 1197, 2131, 1112, 8185, 3498, 1105, 3123, 1188, 5999, 4089, 1457, 2576, 1124, 4096, 2687, 1168, 1197, 2069, 1113, 3045, 8918, 2252, 1125, 1158, 2811, 1196, 8632, 1299, 14773, 244, 2079, 8425, 1132, 11781, 1309, 1282, 4691, 1186, 1138, 3415, 7424, 4110, 1465, 1670, 1300, 1207, 15013, 2687, 1168, 190, 3495, 1701, 1256, 1207, 2905, 6570, 1457, 4511, 13680, 24990, 1207, 2567, 2687, 1168, 190, 1508, 2827, 4586, 1234, 1167, 1964, 3247, 13052, 1299, 1685, 8414, 5563, 3143, 1125, 26116, 1197, 1400, 8644, 1186, 2170, 10584, 1378, 3041, 1548, 13587, 1125, 8791, 1299, 2445, 3360, 245, 1585, 1125, 21179, 12041, 106, 106, 6880, 1740, 28567, 1299, 14399, 1317, 3694, 1197, 19574, 17104, 1170, 488, 125, 126, 3201, 488, 124, 132, 125, 124, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 13587, 1352, 2636, 1299, 1189, 13587, 2102, 1125, 488, 124, 128, 124, 13061, 8446, 1188, 24732, 2433, 1186, 12350, 106, 106, 15581, 4521, 106, 2606, 13587, 1299, 8446, 1313, 1170, 5927, 2720, 1227, 1198, 2162, 119, 1300, 1158, 4813, 16003, 173, 3266, 1768, 11203, 1123, 1170, 1198, 2162, 121, 106, 106, 5164, 1299, 10689, 1313, 1170, 29877, 1125, 1158, 18714, 3391, 2645, 1273, 1366, 16003, 9046, 27172, 1317, 11639, 14610, 1125, 1282, 3600, 27662, 1186, 488, 125, 123, 124, 123, 121, 106, 106, 147, 15376, 106, 2606, 18564, 1227, 1198, 2162, 119, 7200, 3365, 11102, 1140, 1370, 1188, 1282, 5668, 3603, 1110, 1913, 13826, 1835, 488, 124, 123, 126, 128, 1167, 488, 124, 123, 127, 125, 121, 1808, 5737, 1207, 1408, 22891, 1904, 4169, 11041, 4012, 1129, 11103, 1227, 2271, 25525, 6298, 121, 3767, 7882, 119, 4202, 1754, 5548, 119, 1527, 1288, 2856, 1382, 1170, 9251, 1197, 2131, 23850, 1457, 1808, 23719, 1508, 5192, 1473, 1188, 9823, 1304, 1119, 5894, 1362, 1131, 10698, 6111, 4889, 121, 106, 106, 17971, 2271, 31549, 6298, 18993, 173, 6768, 1835, 488, 124, 125, 126, 123, 1167, 488, 124, 125, 127, 123, 1496, 1170, 13587, 1299, 1685, 8414, 1635, 121, 1814, 16779, 1272, 1299, 3042, 18400, 1188, 24570, 1227, 13587, 119, 1906, 3365, 2666, 27747, 244, 1309, 1197, 4274, 6096, 3839, 2260, 2995, 1234, 4796, 488, 124, 124, 132, 126, 121, 2499, 3093, 1207, 23719, 1508, 4398, 1473, 1856, 1170, 6216, 1245, 1170, 5797, 4010, 16003, 9046, 4012, 1199, 1125, 488, 124, 125, 127, 128, 121, 14019, 1170, 5797, 4010, 14061, 1309, 1207, 1893, 1221, 1285, 7184, 1701, 1362, 4541, 1285, 1508, 4398, 4413, 1548, 24209, 1160, 1125, 3090, 1285, 14867, 24166, 1571, 5119, 1137, 1883, 2648, 1571, 1281, 2042, 1392, 2682, 245, 1485, 16003, 173, 2433, 1299, 1215, 1158, 3011, 1318, 2260, 5101, 1985, 4343, 1148, 1571, 5852, 190, 16003, 9046, 1186, 488, 124, 125, 129, 132, 121, 1548, 13587, 22500, 1317, 4764, 27271, 1167, 5514, 1125, 1158, 25109, 2576, 9051, 2442, 3361, 1389, 12425, 1188, 1282, 18369, 1227, 13587, 1723, 2072, 1197, 1878, 29261, 1125, 1158, 25109, 106, 106, 17971, 2271, 4996, 176, 19565, 1197, 14855, 1508, 13826, 1104, 1300, 1207, 6570, 2007, 1227, 13587, 3143, 1125, 6313, 1158, 5197, 1227, 13587, 1408, 2429, 18856, 1548, 13587, 1352, 2636, 25244, 3042, 1317, 1202, 14504, 1352, 1168, 1210, 2504, 1125, 7529, 7190, 4466, 14855, 1508, 13390, 21501, 2750, 1158, 2669, 1277, 1125, 488, 124, 130, 129, 129, 121, 106, 106, 1686, 488, 124, 131, 125, 123, 119, 1561, 12934, 1303, 1299, 4366, 1942, 1303, 1167, 27426, 1214, 3143, 1125, 6292, 1170, 3664, 25989, 1197, 2131, 1112, 8185, 3498, 1105, 3123, 1188, 5999, 4089, 1457, 2576, 1124, 4096, 2687, 1168, 1197, 2069, 1113, 3045, 8918, 2252, 1125, 1158, 2811, 1196, 8632, 1299, 14773, 244, 2079, 8425, 1132, 11781, 1309, 1282, 4691, 1186, 1138, 3415, 7424, 4110, 1465, 1670, 1300, 1207, 15013, 2687, 1168, 190, 3495, 1701, 1256, 1207, 2905, 6570, 1457, 4511, 13680, 24990, 1207, 2567, 2687, 1168, 190, 1508, 2827, 4586, 1234, 1167, 1964, 3247, 13052, 1299, 1685, 8414, 5563, 3143, 1125, 26116, 1197, 1400, 8644, 1186, 2170, 10584, 1378, 3041, 1548, 13587, 1125, 8791, 1299, 2445, 3360, 245, 1585, 1125, 21179, 12041, 106, 106, 6880, 1740, 28567, 1299, 14399, 1317, 3694, 1197, 19574, 17104, 1170, 488, 125, 126, 3201, 488, 124, 132, 125, 124, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 131, 123, 127, 127, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 132, 121, 106, 106, 9688, 488, 106, 126, 131, 123, 127, 127, 1110, 1913, 12866, 1170, 488, 124, 126, 2749, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 1576, 106, 106, 20616, 21198, 1329, 5982, 2137, 488, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 130, 126, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 127, 124, 125, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 129, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 126, 124, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 119, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 488, 106, 126, 131, 123, 127, 127, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 126, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 127, 124, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 151, 2038, 1197, 2678, 12202, 8330, 1842, 1175, 126, 131, 123, 123, 124, 120, 126, 132, 123, 123, 123, 116, 106, 20363, 12451, 20087, 30828, 3436, 106, 106, 28870, 5825, 106, 106, 10853, 488, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 132, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 106, 2744, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 106, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 17659, 32001, 488, 106, 32000, 20036, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 488, 126, 131, 123, 127, 127, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 132, 121, 106, 106, 9688, 488, 106, 126, 131, 123, 127, 127, 1110, 1913, 12866, 1170, 488, 124, 126, 2749, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 1576, 106, 106, 20616, 21198, 1329, 5982, 2137, 488, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 130, 126, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 127, 124, 125, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 129, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 126, 124, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 1859, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 488, 106, 126, 131, 123, 127, 127, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 126, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 127, 124, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 131, 123, 123, 124, 120, 126, 132, 123, 123, 123, 116, 106, 2932, 12451, 20087, 30828, 3436, 106, 106, 28870, 5825, 106, 106, 10853, 488, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 132, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 106, 2744, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 106, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 488, 126, 131, 123, 127, 127, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 132, 121, 106, 106, 9688, 488, 106, 126, 131, 123, 127, 127, 1110, 1913, 12866, 1170, 488, 124, 126, 2749, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 1576, 106, 106, 20616, 21198, 1329, 5982, 2137, 488, 106, 6880, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 131, 130, 126, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 127, 124, 125, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 124, 129, 1167, 1318, 2123, 1109, 5540, 1125, 488, 127, 119, 126, 124, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 1859, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 175, 1457, 106, 106, 20616, 21198, 17871, 488, 106, 126, 131, 123, 127, 127, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 126, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 127, 124, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 125, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 3189, 5907, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 131, 123, 123, 124, 120, 126, 132, 123, 123, 123, 116, 106, 2932, 12451, 20087, 30828, 3436, 106, 106, 28870, 5825, 106, 106, 10853, 488, 106, 106, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 132, 106, 140, 1243, 29249, 1125, 1158, 20450, 11419, 106, 2744, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 106, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 155, 1128, 2548, 20028, 488, 106, 106, 3318, 19638, 1254, 10186, 1175, 124, 132, 127, 126, 1496, 2714, 173, 1322, 2038, 1167, 24190, 10816, 2040, 106, 4633, 1399, 1254, 10186, 1175, 124, 132, 128, 128, 1496, 5598, 3657, 10021, 8043, 1157, 22517, 2040, 106, 14229, 1119, 1254, 10186, 1175, 124, 132, 129, 123, 1496, 23313, 19130, 2040, 106, 10563, 1575, 1254, 10186, 1175, 124, 132, 130, 123, 1496, 2077, 1112, 1632, 11979, 2038, 19130, 121, 106, 106, 15759, 10697, 488, 106, 106, 1254, 10186, 1175, 124, 132, 126, 127, 120, 124, 132, 131, 125, 1496, 28431, 1125, 26650, 3051, 10816, 2040, 106, 106, 1254, 10186, 12554, 1201, 1175, 124, 132, 127, 131, 120, 1496, 28431, 1125, 2958, 1176, 12088, 8502, 1167, 26650, 3051, 4655, 4414, 106, 106, 9748, 10329, 488, 106, 106, 2576, 144, 10186, 2499, 1965, 12179, 20084, 1733, 10816, 8446, 1186, 1306, 3402, 10261, 1538, 29614, 106, 106, 155, 1128, 2548, 20028, 1185, 5597, 1460, 114, 32001, 488, 106, 32000, 20036, 106, 106, 106, 155, 1128, 2548, 20028, 488, 106, 106, 3318, 19638, 1254, 10186, 1175, 124, 132, 127, 126, 1496, 2714, 173, 1322, 2038, 1167, 24190, 10816, 2040, 106, 4633, 1399, 1254, 10186, 1175, 124, 132, 128, 128, 1496, 5598, 3657, 10021, 8043, 1157, 22517, 2040, 106, 14229, 1119, 1254, 10186, 1175, 124, 132, 129, 123, 1496, 23313, 19130, 2040, 106, 10563, 1575, 1254, 10186, 1175, 124, 132, 130, 123, 1496, 2077, 1112, 1632, 11979, 2038, 19130, 121, 106, 106, 15759, 10697, 488, 106, 106, 1254, 10186, 1175, 124, 132, 126, 127, 120, 124, 132, 131, 125, 1496, 28431, 1125, 26650, 3051, 10816, 2040, 106, 106, 1254, 10186, 12554, 1500, 1175, 124, 132, 127, 131, 120, 1496, 28431, 1125, 10972, 12088, 8502, 1167, 26650, 3051, 4655, 4414, 106, 106, 9748, 10329, 488, 106, 106, 2576, 144, 10186, 2499, 1965, 12179, 20084, 1733, 10816, 8446, 1186, 1306, 3402, 10261, 1538, 29614, 106, 106, 155, 1128, 2548, 20028, 1185, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 106, 106, 155, 1128, 2548, 20028, 488, 106, 106, 3318, 19638, 1254, 10186, 1175, 124, 132, 127, 126, 1496, 2714, 173, 1322, 2038, 1167, 24190, 10816, 2040, 106, 4633, 1399, 1254, 10186, 1175, 124, 132, 128, 128, 1496, 5598, 3657, 10021, 8043, 1157, 22517, 2040, 106, 14229, 1119, 1254, 10186, 1175, 124, 132, 129, 123, 1496, 23313, 19130, 2040, 106, 10563, 1575, 1254, 10186, 1175, 124, 132, 130, 123, 1496, 2077, 1112, 1632, 11979, 2038, 19130, 121, 106, 106, 15759, 10697, 488, 106, 106, 1254, 10186, 1175, 124, 132, 126, 127, 120, 124, 132, 131, 125, 1496, 28431, 1125, 26650, 3051, 10816, 2040, 106, 106, 1254, 10186, 12554, 1500, 1175, 124, 132, 127, 131, 120, 1496, 28431, 1125, 10972, 12088, 8502, 1167, 26650, 3051, 4655, 4414, 106, 106, 9748, 10329, 488, 106, 106, 2576, 144, 10186, 2499, 1965, 12179, 20084, 1733, 10816, 8446, 1186, 1306, 3402, 10261, 1538, 29614, 106, 106, 155, 1128, 2548, 20028, 1185, 5597, 1460, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 15273, 10205, 2669, 1322, 172, 1299, 1318, 16074, 1253, 1148, 6544, 1125, 1127, 1815, 1153, 1485, 1138, 6210, 1923, 1125, 1158, 4446, 1197, 3091, 1331, 1117, 3708, 176, 1227, 14664, 1237, 3333, 22572, 121, 106, 106, 151, 2038, 1197, 11566, 4870, 243, 1887, 1257, 106, 15273, 10205, 2669, 1322, 172, 2669, 1322, 172, 488, 106, 15273, 10205, 2669, 1322, 172, 1152, 1490, 1383, 1105, 1462, 1120, 106, 106, 158, 10668, 9455, 1257, 106, 2606, 1874, 29431, 5666, 17877, 13213, 116, 1125, 1440, 4398, 1105, 1299, 16155, 10205, 2669, 1322, 172, 17921, 1124, 1784, 119, 488, 124, 131, 124, 132, 121, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 141, 13449, 1257, 106, 151, 1174, 1124, 1784, 9845, 121, 3551, 121, 1496, 488, 124, 131, 124, 132, 119, 14124, 13219, 1197, 12296, 2130, 2824, 1389, 3576, 119, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 12296, 9220, 20745, 488, 129, 119, 19401, 488, 124, 119, 5701, 488, 124, 120, 126, 127, 126, 106, 4479, 179, 1242, 1104, 7194, 121, 3486, 121, 1496, 488, 124, 131, 126, 129, 119, 14124, 1197, 1204, 1815, 1153, 12041, 1459, 133, 3190, 179, 1242, 1346, 14187, 3486, 121, 1673, 7829, 1245, 19961, 1285, 13147, 14124, 13219, 1197, 14657, 1541, 2130, 6505, 243, 3576, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 3719, 4542, 2841, 1215, 1200, 2275, 1868, 142, 16573, 6311, 9891, 119, 14621, 1167, 6139, 2806, 20745, 488, 130, 119, 5701, 488, 124, 120, 130, 126, 128, 106, 142, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 125, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 125, 119, 5701, 488, 124, 125, 124, 120, 124, 129, 131, 106, 142, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 127, 119, 5701, 488, 125, 126, 126, 120, 126, 125, 127, 106, 142, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 121, 1496, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 10481, 3144, 1197, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 125, 1859, 19401, 488, 124, 119, 5701, 488, 124, 120, 125, 123, 127, 106, 141, 1108, 1204, 6026, 172, 6396, 121, 1496, 488, 124, 132, 132, 127, 119, 1808, 1233, 6210, 1923, 5252, 1307, 9536, 1227, 13728, 10600, 1129, 1164, 25919, 5587, 8247, 2240, 1355, 30404, 1167, 3320, 17432, 244, 2794, 1576, 7072, 1531, 1154, 1117, 6502, 2620, 5796, 244, 22228, 1307, 22857, 1167, 6385, 244, 186, 1416, 4058, 121, 9930, 3375, 1197, 16216, 8507, 1125, 17367, 4058, 1125, 29658, 3546, 124, 126, 125, 119, 5701, 488, 128, 120, 125, 129, 123, 106, 106, 466, 106, 466, 106, 144, 2145, 13006, 1125, 1127, 1815, 1153, 1485, 2260, 179, 7569, 2097, 29610, 11246, 116, 106, 2439, 5894, 1227, 14664, 1237, 3333, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1186, 488, 124, 131, 124, 132, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1215, 3699, 3551, 24811, 1125, 17921, 1124, 1784, 32001, 488, 106, 32000, 20036, 106, 15273, 10205, 2669, 1322, 172, 1299, 1318, 16074, 1253, 1148, 6544, 1125, 1127, 1815, 1153, 1485, 1138, 6210, 1923, 1125, 1158, 4446, 1197, 3091, 1331, 1117, 3708, 176, 1227, 14664, 1237, 3333, 22572, 121, 106, 106, 151, 2038, 1197, 11566, 4870, 243, 1887, 488, 106, 158, 3015, 488, 1257, 106, 16155, 10205, 2669, 1322, 172, 2669, 1322, 172, 488, 106, 16155, 10205, 2669, 1322, 172, 1152, 1490, 1383, 1105, 1462, 1120, 106, 106, 158, 10668, 9455, 488, 106, 2606, 1874, 29431, 5666, 17877, 13213, 116, 1125, 1440, 4398, 1105, 1299, 16155, 10205, 2669, 1322, 172, 17921, 1124, 1784, 119, 488, 124, 131, 124, 132, 121, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 141, 13449, 488, 106, 17921, 1124, 1784, 9845, 121, 3551, 121, 1496, 488, 124, 131, 124, 132, 119, 14124, 13219, 1197, 12296, 2130, 2824, 1389, 3576, 119, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 12296, 9220, 20745, 488, 129, 119, 19401, 488, 124, 119, 5701, 488, 124, 120, 126, 127, 126, 106, 3190, 179, 1242, 1104, 7194, 121, 3486, 121, 1496, 488, 124, 131, 126, 129, 119, 14124, 1197, 1204, 1815, 1153, 12041, 1459, 133, 3190, 179, 1242, 1346, 14187, 3486, 121, 1673, 7829, 1245, 19961, 1285, 13147, 14124, 13219, 1197, 14657, 1541, 2130, 6505, 243, 3576, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 3719, 4542, 2841, 1215, 1200, 2275, 1868, 142, 16573, 6311, 9891, 119, 14621, 1167, 6139, 2806, 20745, 488, 130, 119, 5701, 488, 124, 120, 130, 126, 128, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 125, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 125, 119, 5701, 488, 124, 125, 124, 120, 124, 129, 131, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 127, 119, 5701, 488, 125, 126, 126, 120, 126, 125, 127, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 121, 1496, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 10481, 3144, 1197, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 125, 1859, 19401, 488, 124, 119, 5701, 488, 124, 120, 125, 123, 127, 106, 6507, 1204, 6026, 172, 6396, 121, 1496, 488, 124, 132, 132, 127, 119, 1808, 1233, 6210, 1923, 5252, 1307, 9536, 1227, 13728, 10600, 1129, 1164, 25919, 5587, 8247, 2240, 1355, 30404, 1167, 3320, 17432, 244, 2794, 1576, 7072, 1531, 1154, 1117, 6502, 2620, 5796, 244, 22228, 1307, 22857, 1167, 6385, 244, 186, 1416, 4058, 121, 9930, 3375, 1197, 16216, 8507, 1125, 17367, 4058, 1125, 29658, 3546, 124, 126, 125, 119, 5701, 488, 128, 120, 125, 129, 123, 106, 106, 466, 106, 466, 106, 144, 2145, 13006, 1125, 1127, 1815, 1153, 1485, 2260, 179, 7569, 2097, 29610, 11246, 116, 106, 2439, 5894, 1227, 14664, 1237, 3333, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1186, 488, 124, 131, 124, 132, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1215, 3699, 3551, 24811, 1125, 17921, 1124, 1784, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 15273, 10205, 2669, 1322, 172, 1299, 1318, 16074, 1253, 1148, 6544, 1125, 1127, 1815, 1153, 1485, 1138, 6210, 1923, 1125, 1158, 4446, 1197, 3091, 1331, 1117, 3708, 176, 1227, 14664, 1237, 3333, 22572, 121, 106, 106, 151, 2038, 1197, 11566, 4870, 243, 1887, 488, 106, 158, 3015, 488, 1257, 106, 16155, 10205, 2669, 1322, 172, 2669, 1322, 172, 488, 106, 16155, 10205, 2669, 1322, 172, 1152, 1490, 1383, 1105, 1462, 1120, 106, 106, 158, 10668, 9455, 488, 106, 2606, 1874, 29431, 5666, 17877, 13213, 116, 1125, 1440, 4398, 1105, 1299, 16155, 10205, 2669, 1322, 172, 17921, 1124, 1784, 119, 488, 124, 131, 124, 132, 121, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 141, 13449, 488, 106, 17921, 1124, 1784, 9845, 121, 3551, 121, 1496, 488, 124, 131, 124, 132, 119, 14124, 13219, 1197, 12296, 2130, 2824, 1389, 3576, 119, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 12296, 9220, 20745, 488, 129, 119, 19401, 488, 124, 119, 5701, 488, 124, 120, 126, 127, 126, 106, 3190, 179, 1242, 1104, 7194, 121, 3486, 121, 1496, 488, 124, 131, 126, 129, 119, 14124, 1197, 1204, 1815, 1153, 12041, 1459, 133, 3190, 179, 1242, 1346, 14187, 3486, 121, 1673, 7829, 1245, 19961, 1285, 13147, 14124, 13219, 1197, 14657, 1541, 2130, 6505, 243, 3576, 21284, 1207, 23939, 23848, 1167, 14098, 1125, 2008, 3719, 4542, 2841, 1215, 1200, 2275, 1868, 142, 16573, 6311, 9891, 119, 14621, 1167, 6139, 2806, 20745, 488, 130, 119, 5701, 488, 124, 120, 130, 126, 128, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 125, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 125, 119, 5701, 488, 124, 125, 124, 120, 124, 129, 131, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 12359, 1859, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 129, 129, 119, 19401, 488, 127, 119, 5701, 488, 125, 126, 126, 120, 126, 125, 127, 106, 1165, 3377, 12505, 4698, 12359, 1673, 1202, 2839, 9509, 6396, 121, 1496, 488, 124, 132, 124, 126, 119, 2236, 1210, 4058, 5252, 1307, 243, 185, 1460, 1125, 6389, 17287, 23231, 10481, 3144, 1197, 4862, 1104, 1125, 1158, 7676, 1200, 6883, 244, 2794, 1125, 13033, 4542, 20745, 488, 125, 1859, 19401, 488, 124, 119, 5701, 488, 124, 120, 125, 123, 127, 106, 6507, 1204, 6026, 172, 6396, 121, 1496, 488, 124, 132, 132, 127, 119, 1808, 1233, 6210, 1923, 5252, 1307, 9536, 1227, 13728, 10600, 1129, 1164, 25919, 5587, 8247, 2240, 1355, 30404, 1167, 3320, 17432, 244, 2794, 1576, 7072, 1531, 1154, 1117, 6502, 2620, 5796, 244, 22228, 1307, 22857, 1167, 6385, 244, 186, 1416, 4058, 121, 9930, 3375, 1197, 16216, 8507, 1125, 17367, 4058, 1125, 29658, 3546, 124, 126, 125, 119, 5701, 488, 128, 120, 125, 129, 123, 106, 106, 466, 106, 466, 106, 144, 2145, 13006, 1125, 1127, 1815, 1153, 1485, 2260, 179, 7569, 2097, 29610, 11246, 116, 106, 2439, 5894, 1227, 14664, 1237, 3333, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1186, 488, 124, 131, 124, 132, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1215, 3699, 3551, 24811, 1125, 17921, 1124, 1784, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 157, 1265, 196, 1671, 14387, 1488, 1350, 26334, 24051, 1170, 488, 124, 126, 2584, 488, 124, 132, 127, 132, 116, 1299, 1189, 23313, 8403, 1125, 7585, 20416, 1768, 1299, 5350, 9918, 1256, 1594, 6315, 1125, 30688, 7774, 5519, 2710, 26029, 1189, 3274, 1125, 5687, 7804, 1357, 1110, 9918, 1189, 25305, 9672, 1721, 1667, 1317, 2102, 1197, 4092, 488, 124, 132, 131, 123, 1167, 488, 124, 132, 132, 123, 121, 30015, 5224, 1299, 12749, 1170, 3274, 1170, 1408, 2352, 1568, 1125, 1158, 7585, 20994, 5016, 1199, 1408, 1125, 488, 125, 123, 1513, 1485, 16834, 1167, 1125, 14689, 3603, 1197, 24809, 1125, 3237, 1328, 5632, 488, 124, 1167, 1152, 2388, 1408, 1125, 488, 130, 128, 5743, 1125, 1513, 1485, 1317, 3285, 1125, 1964, 9245, 121, 1350, 26334, 16853, 2445, 1318, 9245, 15857, 1327, 4326, 2429, 2181, 1768, 1110, 9665, 1594, 3151, 6030, 17622, 5182, 1238, 5182, 1622, 488, 125, 123, 123, 131, 1167, 1186, 1110, 25333, 2069, 3237, 1328, 1936, 4413, 106, 106, 141, 11741, 106, 106, 22525, 4134, 106, 106, 28870, 5825, 106, 106, 155, 7849, 1902, 1227, 15211, 22930, 1262, 1186, 30015, 5224, 106, 8857, 1829, 1227, 21908, 1125, 1158, 2674, 24896, 1125, 1158, 7585, 5687, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 9400, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 132, 32001, 488, 106, 32000, 20036, 106, 157, 1265, 196, 1671, 14387, 1488, 1350, 26334, 24051, 1170, 488, 124, 126, 2584, 488, 124, 132, 127, 132, 116, 1299, 1189, 23313, 8403, 1125, 7585, 20416, 1768, 1299, 5350, 9918, 1256, 1594, 6315, 1125, 30688, 7774, 5519, 2710, 26029, 1189, 3274, 1125, 5687, 7804, 1357, 1110, 9918, 1189, 25305, 9672, 1721, 1667, 1317, 2102, 1197, 4092, 488, 124, 132, 131, 123, 1167, 488, 124, 132, 132, 123, 121, 30015, 5224, 1299, 12749, 1170, 3274, 1170, 1408, 2352, 1568, 1125, 1158, 7585, 20994, 5016, 1199, 1408, 1125, 488, 125, 123, 1513, 1485, 16834, 1167, 1125, 14689, 3603, 1197, 24809, 1125, 3237, 1328, 5632, 488, 124, 1167, 1152, 2388, 1408, 1125, 488, 130, 128, 5743, 1125, 1513, 1485, 1317, 3285, 1125, 1964, 9245, 121, 1350, 26334, 16853, 2445, 1318, 9245, 15857, 1327, 4326, 2429, 2181, 1768, 1110, 9665, 1594, 3151, 6030, 17622, 5182, 1238, 5182, 1622, 488, 125, 123, 123, 131, 1167, 1186, 1110, 25333, 2069, 3237, 1328, 1936, 4413, 106, 106, 141, 11741, 106, 106, 22525, 4134, 106, 106, 28870, 5825, 106, 106, 155, 7849, 1902, 1227, 15211, 22930, 1262, 1186, 30015, 5224, 106, 8857, 1829, 1227, 21908, 1125, 1158, 2674, 24896, 1125, 1158, 7585, 5687, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 9400, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 132, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 1265, 196, 1671, 14387, 1488, 1350, 26334, 24051, 1170, 488, 124, 126, 2584, 488, 124, 132, 127, 132, 116, 1299, 1189, 23313, 8403, 1125, 7585, 20416, 1768, 1299, 5350, 9918, 1256, 1594, 6315, 1125, 30688, 7774, 5519, 2710, 26029, 1189, 3274, 1125, 5687, 7804, 1357, 1110, 9918, 1189, 25305, 9672, 1721, 1667, 1317, 2102, 1197, 4092, 488, 124, 132, 131, 123, 1167, 488, 124, 132, 132, 123, 121, 30015, 5224, 1299, 12749, 1170, 3274, 1170, 1408, 2352, 1568, 1125, 1158, 7585, 20994, 5016, 1199, 1408, 1125, 488, 125, 123, 1513, 1485, 16834, 1167, 1125, 14689, 3603, 1197, 24809, 1125, 3237, 1328, 5632, 488, 124, 1167, 1152, 2388, 1408, 1125, 488, 130, 128, 5743, 1125, 1513, 1485, 1317, 3285, 1125, 1964, 9245, 121, 1350, 26334, 16853, 2445, 1318, 9245, 15857, 1327, 4326, 2429, 2181, 1768, 1110, 9665, 1594, 3151, 6030, 17622, 5182, 1238, 5182, 1622, 488, 125, 123, 123, 131, 1167, 1186, 1110, 25333, 2069, 3237, 1328, 1936, 4413, 106, 106, 141, 11741, 106, 106, 22525, 4134, 106, 106, 28870, 5825, 106, 106, 155, 7849, 1902, 1227, 15211, 22930, 1262, 1186, 30015, 5224, 106, 8857, 1829, 1227, 21908, 1125, 1158, 2674, 24896, 1125, 1158, 7585, 5687, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 9400, 106, 153, 3400, 1186, 2584, 488, 124, 132, 127, 132, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 18179, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 488, 106, 3562, 4190, 4053, 1125, 25183, 14159, 4497, 175, 21663, 4113, 1317, 19810, 1125, 8970, 1309, 1197, 25183, 14159, 2345, 1136, 2234, 11779, 25642, 1362, 1125, 24272, 116, 7208, 1129, 1189, 2151, 24308, 2519, 3734, 1256, 5685, 1318, 28705, 29110, 6255, 2985, 8324, 12970, 3450, 1299, 5350, 13409, 1256, 1207, 25183, 14159, 4062, 1168, 20688, 1305, 1201, 1104, 1362, 1329, 6523, 1357, 1508, 1408, 27118, 8507, 1167, 1125, 19705, 2138, 3798, 1548, 1202, 175, 155, 1299, 4646, 244, 1215, 1207, 9744, 1125, 28705, 7236, 1227, 2658, 1188, 3862, 2335, 6231, 1125, 12291, 29110, 10723, 13982, 1313, 1170, 8121, 2585, 1527, 9363, 1362, 19082, 6205, 1362, 1288, 1205, 3502, 106, 106, 20363, 6789, 21021, 1199, 22670, 1107, 5815, 1147, 9446, 1849, 1188, 1318, 28705, 1125, 25183, 5883, 2985, 31775, 1186, 3151, 1571, 9864, 1186, 488, 124, 132, 129, 129, 1215, 1170, 1997, 3179, 15350, 11779, 8317, 2757, 1170, 4966, 1997, 3179, 5818, 1576, 1768, 8135, 28279, 192, 1188, 4759, 1207, 2905, 2882, 29110, 10723, 1313, 1207, 4092, 488, 124, 132, 130, 123, 120, 131, 123, 1469, 13680, 18052, 1197, 9744, 1125, 28705, 121, 106, 106, 9688, 106, 106, 6880, 1128, 10863, 1450, 1299, 1189, 2164, 11690, 30781, 1189, 6231, 1125, 11060, 1856, 1158, 11757, 119, 1158, 11092, 1167, 4428, 1255, 1176, 6957, 1808, 8430, 2132, 4658, 1594, 12175, 1508, 21995, 1473, 1215, 1318, 4726, 1304, 2603, 1430, 8287, 11490, 1357, 2830, 1823, 2022, 1786, 1104, 1215, 1197, 9744, 8287, 11490, 1186, 10184, 1197, 3185, 28397, 1297, 9997, 2076, 1995, 1158, 13545, 1125, 2425, 2802, 1110, 29246, 1279, 1614, 1655, 3250, 2757, 1207, 4092, 488, 124, 132, 128, 123, 119, 14884, 1125, 26592, 10863, 1450, 12262, 1318, 3247, 27118, 4371, 23075, 1188, 1158, 20438, 1227, 1270, 23190, 1167, 1197, 13845, 9536, 1357, 1281, 13536, 17159, 1188, 1318, 28130, 21052, 1188, 4421, 1125, 1158, 22286, 1197, 9744, 121, 1768, 3492, 2774, 5393, 1318, 2925, 31092, 2651, 1357, 11680, 2320, 1188, 1318, 4190, 4053, 1125, 9752, 1313, 1158, 28705, 121, 106, 106, 2606, 1202, 175, 155, 3233, 1823, 11925, 2201, 1856, 1158, 4190, 4053, 1125, 25183, 14159, 12520, 1199, 1186, 1189, 2151, 22453, 10048, 7542, 1158, 4927, 1125, 1158, 28705, 121, 2769, 3487, 1473, 2290, 4438, 1125, 1256, 3196, 6523, 1207, 4190, 18193, 1125, 25183, 14159, 17272, 2442, 1318, 3033, 19116, 1300, 1158, 8970, 1313, 1158, 28705, 1125, 25183, 14159, 1257, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 21052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 1357, 1281, 3146, 1129, 1508, 1253, 12637, 1104, 1313, 1158, 3734, 1167, 2205, 1996, 4190, 2234, 1186, 1189, 2151, 10048, 2040, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 13052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 23706, 1125, 1408, 1186, 1408, 4190, 2234, 1186, 3219, 23870, 106, 106, 2606, 1202, 175, 155, 1299, 21001, 1256, 3219, 4927, 1125, 28705, 2445, 121, 10976, 1158, 28705, 1188, 6001, 6706, 1299, 7492, 3754, 6657, 1186, 18221, 1125, 488, 129, 1188, 488, 124, 125, 4898, 1175, 2672, 119, 23748, 28095, 19812, 1576, 1768, 1251, 8225, 2774, 1318, 4190, 4053, 1256, 15747, 1125, 2008, 21671, 1457, 2616, 1170, 5372, 28764, 3617, 488, 126, 1188, 488, 130, 119, 1170, 1202, 175, 155, 19430, 1164, 1154, 1197, 18221, 1408, 20833, 1125, 488, 124, 125, 1362, 488, 125, 127, 31857, 1778, 4070, 1257, 106, 106, 207, 1266, 4512, 1250, 1469, 488, 127, 123, 112, 1125, 4190, 4053, 10125, 119, 488, 129, 123, 112, 1440, 5557, 1167, 1816, 7005, 121, 1222, 1603, 3192, 20547, 1469, 488, 126, 123, 2199, 1125, 4190, 4053, 13335, 1201, 1104, 1170, 2406, 4537, 1524, 106, 106, 26810, 1215, 3293, 106, 3562, 1830, 3111, 1313, 1207, 3504, 5629, 29110, 10723, 22072, 2335, 3293, 1188, 14974, 121, 8711, 1170, 5818, 29110, 6255, 1227, 6372, 2551, 23036, 1158, 4190, 4053, 1125, 25183, 5883, 1309, 1256, 1158, 9443, 1125, 488, 126, 123, 1188, 488, 130, 123, 25745, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 25745, 1723, 11360, 9785, 488, 128, 123, 24955, 6487, 2306, 1309, 488, 126, 123, 25745, 1158, 7293, 1125, 25183, 5883, 1299, 22590, 21747, 176, 1364, 1167, 14611, 1125, 488, 130, 123, 2199, 2399, 7354, 9470, 121, 106, 106, 2951, 2714, 1571, 24884, 1170, 4966, 1997, 3179, 5818, 6216, 1245, 1170, 1202, 175, 155, 1125, 488, 124, 123, 1188, 488, 132, 123, 2199, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 2199, 1167, 16431, 2076, 1197, 3504, 5629, 20139, 1227, 1202, 175, 10739, 5350, 1256, 1207, 12420, 4062, 1168, 3738, 1856, 1207, 1329, 7231, 106, 106, 145, 172, 6866, 11925, 18394, 106, 106, 2606, 1202, 175, 155, 1299, 7008, 31211, 1160, 11925, 2201, 1313, 1170, 1721, 1856, 1189, 30166, 1227, 9058, 1362, 1125, 1158, 3734, 119, 2585, 1527, 3163, 2886, 1154, 1362, 1288, 1205, 2960, 7542, 1158, 4927, 1125, 28705, 121, 6053, 2774, 1318, 17085, 11925, 18394, 1125, 13508, 11471, 28705, 1125, 488, 127, 123, 2199, 1125, 1202, 175, 155, 7353, 1880, 3365, 3163, 2886, 1154, 488, 127, 123, 2199, 1227, 2658, 1362, 1300, 488, 127, 123, 2199, 1125, 1158, 3734, 121, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 155, 1568, 9040, 1304, 1811, 30201, 106, 155, 1568, 9040, 18646, 1985, 1125, 25183, 14159, 106, 106, 28870, 5825, 106, 106, 5602, 4183, 1125, 28705, 7236, 1227, 2658, 8487, 9040, 29110, 6255, 1202, 3376, 1461, 14159, 4297, 32001, 488, 106, 32000, 20036, 106, 3562, 4190, 4053, 1125, 25183, 14159, 4497, 175, 21663, 4113, 1317, 19810, 1125, 8970, 1309, 1197, 25183, 14159, 2345, 1136, 2234, 11779, 25642, 1362, 1125, 24272, 116, 7208, 1129, 1189, 2151, 24308, 2519, 3734, 1256, 5685, 1318, 28705, 29110, 6255, 2985, 8324, 12970, 3450, 1299, 5350, 13409, 1256, 1207, 25183, 14159, 4062, 1168, 20688, 1305, 1201, 1104, 1362, 1329, 6523, 1357, 1508, 1408, 27118, 8507, 1167, 1125, 19705, 2138, 3798, 1548, 1202, 175, 155, 1299, 4646, 244, 1215, 1207, 9744, 1125, 28705, 7236, 1227, 2658, 1188, 3862, 2335, 6231, 1125, 12291, 29110, 10723, 13982, 1313, 1170, 8121, 2585, 1527, 9363, 1362, 19082, 6205, 1362, 1288, 1205, 3502, 106, 106, 20363, 6789, 21021, 1199, 22670, 1107, 5815, 1147, 9446, 1849, 1188, 1318, 28705, 1125, 25183, 5883, 2985, 31775, 1186, 3151, 1571, 9864, 1186, 488, 124, 132, 129, 129, 1215, 1170, 1997, 3179, 15350, 11779, 8317, 2757, 1170, 4966, 1997, 3179, 5818, 1576, 1768, 8135, 28279, 192, 1188, 4759, 1207, 2905, 2882, 29110, 10723, 1313, 1207, 4092, 488, 124, 132, 130, 123, 120, 131, 123, 1469, 13680, 18052, 1197, 9744, 1125, 28705, 121, 106, 106, 9688, 106, 106, 6880, 1128, 10863, 1450, 1299, 1189, 2164, 11690, 30781, 1189, 6231, 1125, 11060, 1856, 1158, 11757, 119, 1158, 11092, 1167, 4428, 1255, 1176, 6957, 1808, 8430, 2132, 4658, 1594, 12175, 1508, 21995, 1473, 1215, 1318, 4726, 1304, 2603, 1430, 8287, 11490, 1357, 2830, 1823, 2022, 1786, 1104, 1215, 1197, 9744, 8287, 11490, 1186, 10184, 1197, 3185, 28397, 1297, 9997, 2076, 1995, 1158, 13545, 1125, 2425, 2802, 1110, 29246, 1279, 1614, 1655, 3250, 2757, 1207, 4092, 488, 124, 132, 128, 123, 119, 14884, 1125, 26592, 10863, 1450, 12262, 1318, 3247, 27118, 4371, 23075, 1188, 1158, 20438, 1227, 1270, 23190, 1167, 1197, 13845, 9536, 1357, 1281, 13536, 17159, 1188, 1318, 28130, 21052, 1188, 4421, 1125, 1158, 22286, 1197, 9744, 121, 1768, 3492, 2774, 5393, 1318, 2925, 31092, 2651, 1357, 11680, 2320, 1188, 1318, 4190, 4053, 1125, 9752, 1313, 1158, 28705, 121, 106, 106, 2606, 1202, 175, 155, 3233, 1823, 11925, 2201, 1856, 1158, 4190, 4053, 1125, 25183, 14159, 12520, 1199, 1186, 1189, 2151, 22453, 10048, 7542, 1158, 4927, 1125, 1158, 28705, 121, 2769, 3487, 1473, 2290, 4438, 1125, 1256, 3196, 6523, 1207, 4190, 18193, 1125, 25183, 14159, 17272, 2442, 1318, 3033, 19116, 1300, 1158, 8970, 1313, 1158, 28705, 1125, 25183, 14159, 1257, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 21052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 1357, 1281, 3146, 1129, 1508, 1253, 12637, 1104, 1313, 1158, 3734, 1167, 2205, 1996, 4190, 2234, 1186, 1189, 2151, 10048, 2040, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 13052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 23706, 1125, 1408, 1186, 1408, 4190, 2234, 1186, 3219, 23870, 106, 106, 2606, 1202, 175, 155, 1299, 21001, 1256, 3219, 4927, 1125, 28705, 2445, 121, 10976, 1158, 28705, 1188, 6001, 6706, 1299, 7492, 3754, 6657, 1186, 18221, 1125, 488, 129, 1188, 488, 124, 125, 4898, 1175, 2672, 119, 23748, 28095, 19812, 1576, 1768, 1251, 8225, 2774, 1318, 4190, 4053, 1256, 15747, 1125, 2008, 21671, 1457, 2616, 1170, 5372, 28764, 3617, 488, 126, 1188, 488, 130, 119, 1170, 1202, 175, 155, 19430, 1164, 1154, 1197, 18221, 1408, 20833, 1125, 488, 124, 125, 1362, 488, 125, 127, 31857, 1778, 4070, 1257, 106, 106, 207, 1266, 4512, 1250, 1469, 488, 127, 123, 112, 1125, 4190, 4053, 10125, 119, 488, 129, 123, 112, 1440, 5557, 1167, 1816, 7005, 121, 1222, 1603, 3192, 20547, 1469, 488, 126, 123, 2199, 1125, 4190, 4053, 13335, 1201, 1104, 1170, 2406, 4537, 1524, 106, 106, 26810, 1215, 3293, 106, 3562, 1830, 3111, 1313, 1207, 3504, 5629, 29110, 10723, 22072, 2335, 3293, 1188, 14974, 121, 8711, 1170, 5818, 29110, 6255, 1227, 6372, 2551, 23036, 1158, 4190, 4053, 1125, 25183, 5883, 1309, 1256, 1158, 9443, 1125, 488, 126, 123, 1188, 488, 130, 123, 25745, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 25745, 1723, 11360, 9785, 488, 128, 123, 24955, 6487, 2306, 1309, 488, 126, 123, 25745, 1158, 7293, 1125, 25183, 5883, 1299, 22590, 21747, 176, 1364, 1167, 14611, 1125, 488, 130, 123, 2199, 2399, 7354, 9470, 121, 106, 106, 2951, 2714, 1571, 24884, 1170, 4966, 1997, 3179, 5818, 6216, 1245, 1170, 1202, 175, 155, 1125, 488, 124, 123, 1188, 488, 132, 123, 2199, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 2199, 1167, 16431, 2076, 1197, 3504, 5629, 20139, 1227, 1202, 175, 10739, 5350, 1256, 1207, 12420, 4062, 1168, 3738, 1856, 1207, 1329, 7231, 106, 106, 145, 172, 6866, 11925, 18394, 106, 106, 2606, 1202, 175, 155, 1299, 7008, 31211, 1160, 11925, 2201, 1313, 1170, 1721, 1856, 1189, 30166, 1227, 9058, 1362, 1125, 1158, 3734, 119, 2585, 1527, 3163, 2886, 1154, 1362, 1288, 1205, 2960, 7542, 1158, 4927, 1125, 28705, 121, 6053, 2774, 1318, 17085, 11925, 18394, 1125, 13508, 11471, 28705, 1125, 488, 127, 123, 2199, 1125, 1202, 175, 155, 7353, 1880, 3365, 3163, 2886, 1154, 488, 127, 123, 2199, 1227, 2658, 1362, 1300, 488, 127, 123, 2199, 1125, 1158, 3734, 121, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 155, 1568, 9040, 1304, 1811, 30201, 106, 155, 1568, 9040, 18646, 1985, 1125, 25183, 14159, 106, 106, 28870, 5825, 106, 106, 5602, 4183, 1125, 28705, 7236, 1227, 2658, 8487, 9040, 29110, 6255, 1202, 3376, 1461, 14159, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 4190, 4053, 1125, 25183, 14159, 4497, 175, 21663, 4113, 1317, 19810, 1125, 8970, 1309, 1197, 25183, 14159, 2345, 1136, 2234, 11779, 25642, 1362, 1125, 24272, 116, 7208, 1129, 1189, 2151, 24308, 2519, 3734, 1256, 5685, 1318, 28705, 29110, 6255, 2985, 8324, 12970, 3450, 1299, 5350, 13409, 1256, 1207, 25183, 14159, 4062, 1168, 20688, 1305, 1201, 1104, 1362, 1329, 6523, 1357, 1508, 1408, 27118, 8507, 1167, 1125, 19705, 2138, 3798, 1548, 1202, 175, 155, 1299, 4646, 244, 1215, 1207, 9744, 1125, 28705, 7236, 1227, 2658, 1188, 3862, 2335, 6231, 1125, 12291, 29110, 10723, 13982, 1313, 1170, 8121, 2585, 1527, 9363, 1362, 19082, 6205, 1362, 1288, 1205, 3502, 106, 106, 20363, 6789, 21021, 1199, 22670, 1107, 5815, 1147, 9446, 1849, 1188, 1318, 28705, 1125, 25183, 5883, 2985, 31775, 1186, 3151, 1571, 9864, 1186, 488, 124, 132, 129, 129, 1215, 1170, 1997, 3179, 15350, 11779, 8317, 2757, 1170, 4966, 1997, 3179, 5818, 1576, 1768, 8135, 28279, 192, 1188, 4759, 1207, 2905, 2882, 29110, 10723, 1313, 1207, 4092, 488, 124, 132, 130, 123, 120, 131, 123, 1469, 13680, 18052, 1197, 9744, 1125, 28705, 121, 106, 106, 9688, 106, 106, 6880, 1128, 10863, 1450, 1299, 1189, 2164, 11690, 30781, 1189, 6231, 1125, 11060, 1856, 1158, 11757, 119, 1158, 11092, 1167, 4428, 1255, 1176, 6957, 1808, 8430, 2132, 4658, 1594, 12175, 1508, 21995, 1473, 1215, 1318, 4726, 1304, 2603, 1430, 8287, 11490, 1357, 2830, 1823, 2022, 1786, 1104, 1215, 1197, 9744, 8287, 11490, 1186, 10184, 1197, 3185, 28397, 1297, 9997, 2076, 1995, 1158, 13545, 1125, 2425, 2802, 1110, 29246, 1279, 1614, 1655, 3250, 2757, 1207, 4092, 488, 124, 132, 128, 123, 119, 14884, 1125, 26592, 10863, 1450, 12262, 1318, 3247, 27118, 4371, 23075, 1188, 1158, 20438, 1227, 1270, 23190, 1167, 1197, 13845, 9536, 1357, 1281, 13536, 17159, 1188, 1318, 28130, 21052, 1188, 4421, 1125, 1158, 22286, 1197, 9744, 121, 1768, 3492, 2774, 5393, 1318, 2925, 31092, 2651, 1357, 11680, 2320, 1188, 1318, 4190, 4053, 1125, 9752, 1313, 1158, 28705, 121, 106, 106, 2606, 1202, 175, 155, 3233, 1823, 11925, 2201, 1856, 1158, 4190, 4053, 1125, 25183, 14159, 12520, 1199, 1186, 1189, 2151, 22453, 10048, 7542, 1158, 4927, 1125, 1158, 28705, 121, 2769, 3487, 1473, 2290, 4438, 1125, 1256, 3196, 6523, 1207, 4190, 18193, 1125, 25183, 14159, 17272, 2442, 1318, 3033, 19116, 1300, 1158, 8970, 1313, 1158, 28705, 1125, 25183, 14159, 1257, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 21052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 1357, 1281, 3146, 1129, 1508, 1253, 12637, 1104, 1313, 1158, 3734, 1167, 2205, 1996, 4190, 2234, 1186, 1189, 2151, 10048, 2040, 106, 183, 13293, 1158, 4190, 4053, 1125, 25183, 14159, 1299, 13052, 1188, 488, 128, 123, 25745, 1207, 1305, 1201, 1104, 23706, 1125, 1408, 1186, 1408, 4190, 2234, 1186, 3219, 23870, 106, 106, 2606, 1202, 175, 155, 1299, 21001, 1256, 3219, 4927, 1125, 28705, 2445, 121, 10976, 1158, 28705, 1188, 6001, 6706, 1299, 7492, 3754, 6657, 1186, 18221, 1125, 488, 129, 1188, 488, 124, 125, 4898, 1175, 2672, 119, 23748, 28095, 19812, 1576, 1768, 1251, 8225, 2774, 1318, 4190, 4053, 1256, 15747, 1125, 2008, 21671, 1457, 2616, 1170, 5372, 28764, 3617, 488, 126, 1188, 488, 130, 119, 1170, 1202, 175, 155, 19430, 1164, 1154, 1197, 18221, 1408, 20833, 1125, 488, 124, 125, 1362, 488, 125, 127, 31857, 1778, 4070, 1257, 106, 106, 207, 1266, 4512, 1250, 1469, 488, 127, 123, 112, 1125, 4190, 4053, 10125, 119, 488, 129, 123, 112, 1440, 5557, 1167, 1816, 7005, 121, 1222, 1603, 3192, 20547, 1469, 488, 126, 123, 2199, 1125, 4190, 4053, 13335, 1201, 1104, 1170, 2406, 4537, 1524, 106, 106, 26810, 1215, 3293, 106, 3562, 1830, 3111, 1313, 1207, 3504, 5629, 29110, 10723, 22072, 2335, 3293, 1188, 14974, 121, 8711, 1170, 5818, 29110, 6255, 1227, 6372, 2551, 23036, 1158, 4190, 4053, 1125, 25183, 5883, 1309, 1256, 1158, 9443, 1125, 488, 126, 123, 1188, 488, 130, 123, 25745, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 25745, 1723, 11360, 9785, 488, 128, 123, 24955, 6487, 2306, 1309, 488, 126, 123, 25745, 1158, 7293, 1125, 25183, 5883, 1299, 22590, 21747, 176, 1364, 1167, 14611, 1125, 488, 130, 123, 2199, 2399, 7354, 9470, 121, 106, 106, 2951, 2714, 1571, 24884, 1170, 4966, 1997, 3179, 5818, 6216, 1245, 1170, 1202, 175, 155, 1125, 488, 124, 123, 1188, 488, 132, 123, 2199, 1215, 3000, 1568, 1525, 1125, 488, 124, 123, 2199, 1167, 16431, 2076, 1197, 3504, 5629, 20139, 1227, 1202, 175, 10739, 5350, 1256, 1207, 12420, 4062, 1168, 3738, 1856, 1207, 1329, 7231, 106, 106, 145, 172, 6866, 11925, 18394, 106, 106, 2606, 1202, 175, 155, 1299, 7008, 31211, 1160, 11925, 2201, 1313, 1170, 1721, 1856, 1189, 30166, 1227, 9058, 1362, 1125, 1158, 3734, 119, 2585, 1527, 3163, 2886, 1154, 1362, 1288, 1205, 2960, 7542, 1158, 4927, 1125, 28705, 121, 6053, 2774, 1318, 17085, 11925, 18394, 1125, 13508, 11471, 28705, 1125, 488, 127, 123, 2199, 1125, 1202, 175, 155, 7353, 1880, 3365, 3163, 2886, 1154, 488, 127, 123, 2199, 1227, 2658, 1362, 1300, 488, 127, 123, 2199, 1125, 1158, 3734, 121, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 155, 1568, 9040, 1304, 1811, 30201, 106, 155, 1568, 9040, 18646, 1985, 1125, 25183, 14159, 106, 106, 28870, 5825, 106, 106, 5602, 4183, 1125, 28705, 7236, 1227, 2658, 8487, 9040, 29110, 6255, 1202, 3376, 1461, 14159, 114, 32001, 488, 106, 2 ]