Search is not available for this dataset
input_ids
sequencelengths
30
2.04k
attention_mask
sequencelengths
30
2.04k
labels
sequencelengths
30
2.04k
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 3543, 1125, 1282, 8722, 1700, 1190, 7216, 1299, 1105, 1354, 133, 1198, 1205, 1178, 2589, 116, 1299, 1318, 3543, 2022, 3410, 1378, 27537, 1188, 1198, 1516, 192, 1186, 7572, 7138, 1388, 4929, 13700, 12616, 3543, 25244, 1188, 1318, 12271, 1415, 1125, 8292, 1389, 2248, 1451, 119, 1304, 12736, 1170, 1874, 1125, 3543, 1125, 1271, 8722, 1700, 1190, 8155, 12685, 2803, 1189, 3983, 1125, 488, 131, 128, 3851, 13098, 1167, 2069, 16518, 1811, 16095, 6280, 10240, 14571, 1299, 1125, 488, 130, 123, 23882, 15354, 1723, 1158, 29098, 1304, 25737, 1167, 1207, 15852, 2668, 1473, 1300, 1170, 15630, 8986, 1129, 1197, 13061, 9906, 14361, 1158, 6534, 8740, 15667, 488, 125, 123, 123, 130, 119, 1158, 4971, 1125, 1158, 3543, 1281, 1271, 8722, 1700, 1190, 12669, 1189, 7200, 19566, 11471, 31498, 1299, 3662, 1303, 1317, 19121, 1125, 1282, 1740, 28567, 1256, 1557, 3393, 1282, 15121, 6544, 1125, 1158, 10240, 12808, 1125, 488, 131, 132, 119, 132, 125, 1127, 3852, 4971, 1125, 1158, 3543, 1110, 13551, 1186, 488, 125, 123, 123, 129, 1167, 8135, 6035, 193, 1303, 1186, 488, 125, 123, 123, 131, 10803, 10240, 4253, 6657, 1215, 1170, 2678, 12067, 244, 3031, 1125, 488, 130, 123, 1127, 1167, 1170, 3257, 14443, 1110, 1844, 11582, 2519, 16407, 6028, 18898, 1205, 1178, 2589, 1299, 1170, 1408, 4392, 20672, 12405, 2022, 3410, 1140, 1125, 1198, 1516, 192, 1469, 1909, 488, 125, 126, 1754, 1741, 3651, 11941, 1104, 1227, 12685, 1508, 1352, 1142, 1108, 1518, 26206, 12139, 192, 1167, 1192, 1109, 28971, 19789, 1227, 13078, 1283, 23821, 15357, 1518, 26206, 12139, 192, 1673, 28971, 19789, 1350, 233, 3317, 4021, 4192, 1227, 12685, 3031, 7783, 1200, 6883, 4735, 179, 1123, 1153, 1167, 1170, 23849, 1836, 3031, 7783, 1198, 1662, 3852, 4971, 1110, 1913, 15633, 1215, 7783, 1518, 14504, 182, 3484, 159, 3852, 3543, 1110, 1913, 3591, 1186, 2424, 1186, 488, 125, 123, 123, 131, 15826, 31942, 15948, 13459, 2072, 7364, 5825, 13374, 11052, 1424, 12253, 1197, 8936, 1167, 19574, 1125, 1198, 1516, 192, 12323, 237, 19558, 1188, 1198, 1516, 192, 10541, 11771, 10015, 1227, 23841, 6298, 114, 32001, 1424, 32000, 20036, 2895, 3543, 1125, 1282, 8722, 1700, 1190, 7216, 1299, 1105, 1354, 133, 1198, 1205, 1178, 2589, 116, 1299, 1318, 3543, 2022, 3410, 1378, 27537, 1188, 1198, 1516, 192, 1186, 7572, 7138, 1388, 4929, 13700, 12616, 3543, 25244, 1188, 1318, 12271, 1415, 1125, 8292, 1389, 2248, 1451, 119, 1304, 12736, 1170, 1874, 1125, 3543, 1125, 1271, 8722, 1700, 1190, 8155, 12685, 2803, 1189, 3983, 1125, 488, 131, 128, 3851, 13098, 1167, 2069, 16518, 1811, 16095, 6280, 10240, 14571, 1299, 1125, 488, 130, 123, 23882, 15354, 1723, 1158, 29098, 1304, 25737, 1167, 1207, 15852, 2668, 1473, 1300, 1170, 15630, 8986, 1129, 1197, 13061, 9906, 14361, 1158, 6534, 8740, 15667, 488, 125, 123, 123, 130, 119, 1158, 4971, 1125, 1158, 3543, 1281, 1271, 8722, 1700, 1190, 12669, 1189, 7200, 19566, 11471, 31498, 1299, 3662, 1303, 1317, 19121, 1125, 1282, 1740, 28567, 1256, 1557, 3393, 1282, 15121, 6544, 1125, 1158, 10240, 12808, 1125, 488, 131, 132, 119, 132, 125, 1127, 3852, 4971, 1125, 1158, 3543, 1110, 13551, 1186, 488, 125, 123, 123, 129, 1167, 8135, 6035, 193, 1303, 1186, 488, 125, 123, 123, 131, 10803, 10240, 4253, 6657, 1215, 1170, 2678, 12067, 244, 3031, 1125, 488, 130, 123, 1127, 1167, 1170, 3257, 14443, 1110, 1844, 11582, 2519, 16407, 6028, 18898, 1205, 1178, 2589, 1299, 1170, 1408, 4392, 20672, 12405, 2022, 3410, 1140, 1125, 1198, 1516, 192, 1469, 1909, 488, 125, 126, 1754, 1741, 3651, 11941, 1104, 1227, 12685, 1508, 1352, 1142, 1108, 1518, 26206, 12139, 192, 1167, 1192, 1109, 28971, 19789, 1227, 13078, 1283, 23821, 15357, 1518, 26206, 12139, 192, 1673, 28971, 19789, 1350, 233, 3317, 4021, 4192, 1227, 12685, 3031, 7783, 1200, 6883, 4735, 179, 1123, 1153, 1167, 1170, 23849, 1836, 3031, 7783, 1198, 1662, 3852, 4971, 1110, 1913, 15633, 1215, 7783, 1518, 14504, 182, 3484, 159, 3852, 3543, 1110, 1913, 3591, 1186, 2424, 1186, 488, 125, 123, 123, 131, 15826, 31942, 15948, 13459, 2072, 7364, 5825, 13374, 11052, 1424, 12253, 1197, 8936, 1167, 19574, 1125, 1198, 1516, 192, 12323, 237, 19558, 1188, 1198, 1516, 192, 10541, 11771, 10015, 1227, 23841, 6298, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 3543, 1125, 1282, 8722, 1700, 1190, 7216, 1299, 1105, 1354, 133, 1198, 1205, 1178, 2589, 116, 1299, 1318, 3543, 2022, 3410, 1378, 27537, 1188, 1198, 1516, 192, 1186, 7572, 7138, 1388, 4929, 13700, 12616, 3543, 25244, 1188, 1318, 12271, 1415, 1125, 8292, 1389, 2248, 1451, 119, 1304, 12736, 1170, 1874, 1125, 3543, 1125, 1271, 8722, 1700, 1190, 8155, 12685, 2803, 1189, 3983, 1125, 488, 131, 128, 3851, 13098, 1167, 2069, 16518, 1811, 16095, 6280, 10240, 14571, 1299, 1125, 488, 130, 123, 23882, 15354, 1723, 1158, 29098, 1304, 25737, 1167, 1207, 15852, 2668, 1473, 1300, 1170, 15630, 8986, 1129, 1197, 13061, 9906, 14361, 1158, 6534, 8740, 15667, 488, 125, 123, 123, 130, 119, 1158, 4971, 1125, 1158, 3543, 1281, 1271, 8722, 1700, 1190, 12669, 1189, 7200, 19566, 11471, 31498, 1299, 3662, 1303, 1317, 19121, 1125, 1282, 1740, 28567, 1256, 1557, 3393, 1282, 15121, 6544, 1125, 1158, 10240, 12808, 1125, 488, 131, 132, 119, 132, 125, 1127, 3852, 4971, 1125, 1158, 3543, 1110, 13551, 1186, 488, 125, 123, 123, 129, 1167, 8135, 6035, 193, 1303, 1186, 488, 125, 123, 123, 131, 10803, 10240, 4253, 6657, 1215, 1170, 2678, 12067, 244, 3031, 1125, 488, 130, 123, 1127, 1167, 1170, 3257, 14443, 1110, 1844, 11582, 2519, 16407, 6028, 18898, 1205, 1178, 2589, 1299, 1170, 1408, 4392, 20672, 12405, 2022, 3410, 1140, 1125, 1198, 1516, 192, 1469, 1909, 488, 125, 126, 1754, 1741, 3651, 11941, 1104, 1227, 12685, 1508, 1352, 1142, 1108, 1518, 26206, 12139, 192, 1167, 1192, 1109, 28971, 19789, 1227, 13078, 1283, 23821, 15357, 1518, 26206, 12139, 192, 1673, 28971, 19789, 1350, 233, 3317, 4021, 4192, 1227, 12685, 3031, 7783, 1200, 6883, 4735, 179, 1123, 1153, 1167, 1170, 23849, 1836, 3031, 7783, 1198, 1662, 3852, 4971, 1110, 1913, 15633, 1215, 7783, 1518, 14504, 182, 3484, 159, 3852, 3543, 1110, 1913, 3591, 1186, 2424, 1186, 488, 125, 123, 123, 131, 15826, 31942, 15948, 13459, 2072, 7364, 5825, 13374, 11052, 1424, 12253, 1197, 8936, 1167, 19574, 1125, 1198, 1516, 192, 12323, 237, 19558, 1188, 1198, 1516, 192, 10541, 11771, 10015, 1227, 23841, 6298, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 3681, 1119, 6480, 1997, 1554, 10962, 24051, 1170, 488, 125, 129, 2798, 488, 124, 132, 127, 126, 1188, 2482, 4524, 116, 1299, 1189, 8287, 244, 9092, 1354, 8403, 1357, 9900, 1186, 6431, 29206, 2780, 1655, 7615, 23374, 1167, 6431, 29206, 7787, 1629, 174, 1960, 25886, 4096, 2093, 2812, 1554, 10962, 22589, 1214, 1317, 31927, 10840, 1161, 14904, 4698, 2310, 116, 2040, 1527, 18764, 1189, 1138, 22781, 1186, 488, 124, 132, 129, 127, 1167, 1189, 2708, 121, 9941, 1186, 488, 124, 132, 129, 130, 2290, 1158, 4595, 1125, 2460, 180, 1149, 3441, 5966, 1539, 1608, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 1410, 6100, 2032, 1153, 1171, 24014, 1230, 2032, 1153, 1161, 1110, 1248, 1214, 12505, 2323, 3318, 1221, 2066, 1576, 1768, 1299, 6349, 31702, 9362, 3521, 1317, 23872, 1175, 124, 132, 129, 130, 116, 1167, 1186, 8536, 1186, 488, 124, 132, 129, 131, 122, 129, 132, 1188, 26341, 16376, 7546, 16984, 1384, 182, 1125, 15714, 10261, 1538, 2988, 21408, 5264, 192, 1292, 6630, 1125, 24979, 121, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1527, 1299, 14867, 13787, 20036, 1188, 5763, 1347, 15151, 1167, 2757, 488, 124, 132, 130, 129, 13787, 1125, 8287, 2035, 1384, 12041, 1653, 488, 124, 132, 130, 131, 122, 130, 132, 1527, 1299, 13787, 23693, 1188, 15714, 1248, 30263, 1768, 1110, 1913, 8328, 1227, 5927, 1125, 8287, 11490, 1125, 5763, 1347, 1126, 2305, 1768, 1299, 7216, 488, 125, 123, 124, 131, 116, 13787, 8324, 1356, 1286, 1188, 1158, 6410, 20623, 5761, 22341, 4990, 1512, 17322, 114, 6305, 2435, 1299, 28359, 1158, 1191, 1668, 1278, 1125, 1997, 1554, 10962, 1125, 1158, 6431, 29206, 1125, 3921, 1576, 1548, 18041, 2247, 1125, 1997, 1554, 10962, 1299, 1189, 18041, 2247, 11540, 1369, 1125, 1158, 6431, 29206, 7787, 1629, 174, 1960, 1357, 4665, 1594, 1874, 7552, 6854, 12741, 1150, 1412, 14357, 175, 2765, 1997, 1554, 10962, 1110, 15519, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 1158, 20438, 1125, 10949, 1125, 10297, 9126, 2097, 1469, 7787, 1630, 2348, 8732, 30550, 1909, 1181, 1234, 26376, 1527, 1251, 1110, 3747, 27910, 3521, 1293, 1109, 197, 12579, 1167, 26968, 2397, 1140, 2689, 1210, 10177, 1767, 1392, 18604, 488, 124, 132, 130, 131, 1997, 1554, 10962, 1299, 10337, 1535, 1374, 23693, 1317, 28637, 4578, 1197, 8287, 244, 9092, 2624, 1125, 1306, 1785, 1804, 180, 1175, 1117, 1373, 1125, 1594, 6581, 244, 1257, 1254, 12654, 7396, 1161, 1135, 1643, 4569, 2323, 1408, 1110, 7995, 4023, 5164, 1299, 26068, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 1167, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 1867, 488, 124, 132, 130, 124, 1188, 488, 124, 132, 130, 126, 1527, 3031, 1173, 1728, 1119, 8513, 26068, 8732, 1565, 1430, 1424, 6749, 20634, 1167, 5474, 5532, 1354, 16718, 1424, 8935, 2475, 1188, 5763, 1347, 4279, 106, 1424, 1424, 2093, 23015, 244, 9092, 1354, 8403, 1227, 23841, 6298, 27914, 9892, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 31894, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 31894, 1125, 6389, 16609, 7546, 23652, 3043, 13309, 8156, 1186, 2798, 488, 124, 132, 127, 126, 114, 32001, 1424, 32000, 20036, 24623, 3681, 1119, 6480, 1997, 1554, 10962, 24051, 1170, 488, 125, 129, 2798, 488, 124, 132, 127, 126, 1188, 2482, 4524, 116, 1299, 1189, 8287, 244, 9092, 1354, 8403, 1357, 9900, 1186, 6431, 29206, 2780, 1655, 7615, 23374, 1167, 6431, 29206, 7787, 1629, 174, 1960, 25886, 4096, 2093, 2812, 1554, 10962, 22589, 1214, 1317, 31927, 10840, 1161, 14904, 4698, 2310, 116, 2040, 1527, 18764, 1189, 1138, 22781, 1186, 488, 124, 132, 129, 127, 1167, 1189, 2708, 121, 9941, 1186, 488, 124, 132, 129, 130, 2290, 1158, 4595, 1125, 2460, 180, 1149, 3441, 5966, 1539, 1608, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 1410, 6100, 2032, 1153, 1171, 24014, 1230, 2032, 1153, 1161, 1110, 1248, 1214, 12505, 2323, 3318, 1221, 2066, 1576, 1768, 1299, 6349, 31702, 9362, 3521, 1317, 23872, 1175, 124, 132, 129, 130, 116, 1167, 1186, 8536, 1186, 488, 124, 132, 129, 131, 122, 129, 132, 1188, 26341, 16376, 7546, 16984, 1384, 182, 1125, 15714, 10261, 1538, 2988, 21408, 5264, 192, 1292, 6630, 1125, 24979, 121, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1527, 1299, 14867, 13787, 20036, 1188, 5763, 1347, 15151, 1167, 2757, 488, 124, 132, 130, 129, 13787, 1125, 8287, 2035, 1384, 12041, 1653, 488, 124, 132, 130, 131, 122, 130, 132, 1527, 1299, 13787, 23693, 1188, 15714, 1248, 30263, 1768, 1110, 1913, 8328, 1227, 5927, 1125, 8287, 11490, 1125, 5763, 1347, 1126, 2305, 1768, 1299, 7216, 488, 125, 123, 124, 131, 116, 13787, 8324, 1356, 1286, 1188, 1158, 6410, 20623, 5761, 22341, 4990, 1512, 17322, 114, 6305, 2435, 1299, 28359, 1158, 1191, 1668, 1278, 1125, 1997, 1554, 10962, 1125, 1158, 6431, 29206, 1125, 3921, 1576, 1548, 18041, 2247, 1125, 1997, 1554, 10962, 1299, 1189, 18041, 2247, 11540, 1369, 1125, 1158, 6431, 29206, 7787, 1629, 174, 1960, 1357, 4665, 1594, 1874, 7552, 6854, 12741, 1150, 1412, 14357, 175, 2765, 1997, 1554, 10962, 1110, 15519, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 1158, 20438, 1125, 10949, 1125, 10297, 9126, 2097, 1469, 7787, 1630, 2348, 8732, 30550, 1909, 1181, 1234, 26376, 1527, 1251, 1110, 3747, 27910, 3521, 1293, 1109, 197, 12579, 1167, 26968, 2397, 1140, 2689, 1210, 10177, 1767, 1392, 18604, 488, 124, 132, 130, 131, 1997, 1554, 10962, 1299, 10337, 1535, 1374, 23693, 1317, 28637, 4578, 1197, 8287, 244, 9092, 2624, 1125, 1306, 1785, 1804, 180, 1175, 1117, 1373, 1125, 1594, 6581, 244, 1257, 1254, 12654, 7396, 1161, 1135, 1643, 4569, 2323, 1408, 1110, 7995, 4023, 5164, 1299, 26068, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 1167, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 1867, 488, 124, 132, 130, 124, 1188, 488, 124, 132, 130, 126, 1527, 3031, 1173, 1728, 1119, 8513, 26068, 8732, 1565, 1430, 1424, 6749, 20634, 1167, 5474, 5532, 1354, 16718, 1424, 8935, 2475, 1188, 5763, 1347, 4279, 106, 1424, 1424, 2093, 23015, 244, 9092, 1354, 8403, 1227, 23841, 6298, 27914, 9892, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 31894, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 31894, 1125, 6389, 16609, 7546, 23652, 3043, 13309, 8156, 1186, 2798, 488, 124, 132, 127, 126, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 3681, 1119, 6480, 1997, 1554, 10962, 24051, 1170, 488, 125, 129, 2798, 488, 124, 132, 127, 126, 1188, 2482, 4524, 116, 1299, 1189, 8287, 244, 9092, 1354, 8403, 1357, 9900, 1186, 6431, 29206, 2780, 1655, 7615, 23374, 1167, 6431, 29206, 7787, 1629, 174, 1960, 25886, 4096, 2093, 2812, 1554, 10962, 22589, 1214, 1317, 31927, 10840, 1161, 14904, 4698, 2310, 116, 2040, 1527, 18764, 1189, 1138, 22781, 1186, 488, 124, 132, 129, 127, 1167, 1189, 2708, 121, 9941, 1186, 488, 124, 132, 129, 130, 2290, 1158, 4595, 1125, 2460, 180, 1149, 3441, 5966, 1539, 1608, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 1175, 1117, 1373, 1125, 1158, 21203, 1257, 1410, 6100, 2032, 1153, 1171, 24014, 1230, 2032, 1153, 1161, 1110, 1248, 1214, 12505, 2323, 3318, 1221, 2066, 1576, 1768, 1299, 6349, 31702, 9362, 3521, 1317, 23872, 1175, 124, 132, 129, 130, 116, 1167, 1186, 8536, 1186, 488, 124, 132, 129, 131, 122, 129, 132, 1188, 26341, 16376, 7546, 16984, 1384, 182, 1125, 15714, 10261, 1538, 2988, 21408, 5264, 192, 1292, 6630, 1125, 24979, 121, 4511, 3862, 1125, 488, 124, 132, 129, 132, 119, 1527, 1299, 14867, 13787, 20036, 1188, 5763, 1347, 15151, 1167, 2757, 488, 124, 132, 130, 129, 13787, 1125, 8287, 2035, 1384, 12041, 1653, 488, 124, 132, 130, 131, 122, 130, 132, 1527, 1299, 13787, 23693, 1188, 15714, 1248, 30263, 1768, 1110, 1913, 8328, 1227, 5927, 1125, 8287, 11490, 1125, 5763, 1347, 1126, 2305, 1768, 1299, 7216, 488, 125, 123, 124, 131, 116, 13787, 8324, 1356, 1286, 1188, 1158, 6410, 20623, 5761, 22341, 4990, 1512, 17322, 114, 6305, 2435, 1299, 28359, 1158, 1191, 1668, 1278, 1125, 1997, 1554, 10962, 1125, 1158, 6431, 29206, 1125, 3921, 1576, 1548, 18041, 2247, 1125, 1997, 1554, 10962, 1299, 1189, 18041, 2247, 11540, 1369, 1125, 1158, 6431, 29206, 7787, 1629, 174, 1960, 1357, 4665, 1594, 1874, 7552, 6854, 12741, 1150, 1412, 14357, 175, 2765, 1997, 1554, 10962, 1110, 15519, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 1158, 20438, 1125, 10949, 1125, 10297, 9126, 2097, 1469, 7787, 1630, 2348, 8732, 30550, 1909, 1181, 1234, 26376, 1527, 1251, 1110, 3747, 27910, 3521, 1293, 1109, 197, 12579, 1167, 26968, 2397, 1140, 2689, 1210, 10177, 1767, 1392, 18604, 488, 124, 132, 130, 131, 1997, 1554, 10962, 1299, 10337, 1535, 1374, 23693, 1317, 28637, 4578, 1197, 8287, 244, 9092, 2624, 1125, 1306, 1785, 1804, 180, 1175, 1117, 1373, 1125, 1594, 6581, 244, 1257, 1254, 12654, 7396, 1161, 1135, 1643, 4569, 2323, 1408, 1110, 7995, 4023, 5164, 1299, 26068, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 1167, 1125, 6389, 16609, 7546, 23652, 3043, 4911, 23631, 1867, 488, 124, 132, 130, 124, 1188, 488, 124, 132, 130, 126, 1527, 3031, 1173, 1728, 1119, 8513, 26068, 8732, 1565, 1430, 1424, 6749, 20634, 1167, 5474, 5532, 1354, 16718, 1424, 8935, 2475, 1188, 5763, 1347, 4279, 106, 1424, 1424, 2093, 23015, 244, 9092, 1354, 8403, 1227, 23841, 6298, 27914, 9892, 1188, 15714, 1125, 7892, 1214, 1188, 5763, 1347, 4279, 31894, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 31894, 1125, 6389, 16609, 7546, 23652, 3043, 13309, 8156, 1186, 2798, 488, 124, 132, 127, 126, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 149, 27505, 120, 19346, 173, 1262, 22894, 2982, 5252, 1188, 2801, 1170, 488, 124, 127, 3141, 488, 124, 131, 124, 127, 1167, 4541, 1188, 3942, 1105, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 119, 1299, 1189, 18866, 2720, 14231, 1424, 149, 27505, 11528, 173, 5485, 2690, 10935, 22894, 1109, 1299, 1170, 8658, 1125, 3699, 7422, 11528, 173, 1262, 2690, 22894, 2982, 28622, 488, 1197, 2936, 1346, 1167, 1125, 13659, 2904, 1286, 5144, 1259, 15121, 3758, 1174, 2851, 11888, 1136, 1774, 7552, 1250, 14948, 120, 1516, 1285, 1527, 1299, 29139, 1125, 5612, 6291, 1124, 6154, 1167, 1125, 6480, 12412, 178, 2563, 1527, 28365, 1317, 21948, 1188, 3862, 1125, 488, 124, 131, 126, 129, 8370, 488, 124, 131, 126, 130, 1167, 488, 124, 131, 126, 132, 119, 1527, 1892, 9604, 1256, 1170, 3248, 1125, 11188, 1186, 13391, 8732, 176, 1343, 1112, 6111, 3833, 22571, 488, 124, 131, 127, 126, 119, 1527, 7354, 6349, 18866, 10187, 1374, 12258, 18764, 1318, 24722, 1125, 8483, 5971, 1186, 488, 124, 131, 127, 126, 1167, 488, 124, 131, 128, 128, 119, 1125, 6311, 5971, 1186, 488, 124, 131, 127, 128, 1167, 1189, 11343, 1186, 488, 124, 131, 128, 131, 8370, 488, 124, 131, 131, 124, 119, 1527, 16722, 2324, 3595, 1314, 1204, 2139, 119, 23313, 18866, 12258, 19859, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 1188, 3942, 2114, 1186, 18141, 8687, 28373, 11488, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 2720, 1227, 26851, 6298, 8156, 1186, 3141, 488, 124, 131, 124, 127, 8156, 1313, 20774, 488, 128, 176, 28077, 1125, 2801, 9317, 1188, 3942, 1105, 1175, 3732, 1314, 8687, 28373, 12125, 1416, 1467, 1186, 2578, 488, 124, 131, 131, 129, 9317, 1188, 488, 130, 125, 2165, 32001, 1424, 32000, 20036, 2278, 27505, 120, 19346, 173, 1262, 22894, 2982, 5252, 1188, 2801, 1170, 488, 124, 127, 3141, 488, 124, 131, 124, 127, 1167, 4541, 1188, 3942, 1105, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 119, 1299, 1189, 18866, 2720, 14231, 1424, 149, 27505, 11528, 173, 5485, 2690, 10935, 22894, 1109, 1299, 1170, 8658, 1125, 3699, 7422, 11528, 173, 1262, 2690, 22894, 2982, 28622, 488, 1197, 2936, 1346, 1167, 1125, 13659, 2904, 1286, 5144, 1259, 15121, 3758, 1174, 2851, 11888, 1136, 1774, 7552, 1250, 14948, 120, 1516, 1285, 1527, 1299, 29139, 1125, 5612, 6291, 1124, 6154, 1167, 1125, 6480, 12412, 178, 2563, 1527, 28365, 1317, 21948, 1188, 3862, 1125, 488, 124, 131, 126, 129, 8370, 488, 124, 131, 126, 130, 1167, 488, 124, 131, 126, 132, 119, 1527, 1892, 9604, 1256, 1170, 3248, 1125, 11188, 1186, 13391, 8732, 176, 1343, 1112, 6111, 3833, 22571, 488, 124, 131, 127, 126, 119, 1527, 7354, 6349, 18866, 10187, 1374, 12258, 18764, 1318, 24722, 1125, 8483, 5971, 1186, 488, 124, 131, 127, 126, 1167, 488, 124, 131, 128, 128, 119, 1125, 6311, 5971, 1186, 488, 124, 131, 127, 128, 1167, 1189, 11343, 1186, 488, 124, 131, 128, 131, 8370, 488, 124, 131, 131, 124, 119, 1527, 16722, 2324, 3595, 1314, 1204, 2139, 119, 23313, 18866, 12258, 19859, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 1188, 3942, 2114, 1186, 18141, 8687, 28373, 11488, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 2720, 1227, 26851, 6298, 8156, 1186, 3141, 488, 124, 131, 124, 127, 8156, 1313, 20774, 488, 128, 176, 28077, 1125, 2801, 9317, 1188, 3942, 1105, 1175, 3732, 1314, 8687, 28373, 12125, 1416, 1467, 1186, 2578, 488, 124, 131, 131, 129, 9317, 1188, 488, 130, 125, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2278, 27505, 120, 19346, 173, 1262, 22894, 2982, 5252, 1188, 2801, 1170, 488, 124, 127, 3141, 488, 124, 131, 124, 127, 1167, 4541, 1188, 3942, 1105, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 119, 1299, 1189, 18866, 2720, 14231, 1424, 149, 27505, 11528, 173, 5485, 2690, 10935, 22894, 1109, 1299, 1170, 8658, 1125, 3699, 7422, 11528, 173, 1262, 2690, 22894, 2982, 28622, 488, 1197, 2936, 1346, 1167, 1125, 13659, 2904, 1286, 5144, 1259, 15121, 3758, 1174, 2851, 11888, 1136, 1774, 7552, 1250, 14948, 120, 1516, 1285, 1527, 1299, 29139, 1125, 5612, 6291, 1124, 6154, 1167, 1125, 6480, 12412, 178, 2563, 1527, 28365, 1317, 21948, 1188, 3862, 1125, 488, 124, 131, 126, 129, 8370, 488, 124, 131, 126, 130, 1167, 488, 124, 131, 126, 132, 119, 1527, 1892, 9604, 1256, 1170, 3248, 1125, 11188, 1186, 13391, 8732, 176, 1343, 1112, 6111, 3833, 22571, 488, 124, 131, 127, 126, 119, 1527, 7354, 6349, 18866, 10187, 1374, 12258, 18764, 1318, 24722, 1125, 8483, 5971, 1186, 488, 124, 131, 127, 126, 1167, 488, 124, 131, 128, 128, 119, 1125, 6311, 5971, 1186, 488, 124, 131, 127, 128, 1167, 1189, 11343, 1186, 488, 124, 131, 128, 131, 8370, 488, 124, 131, 131, 124, 119, 1527, 16722, 2324, 3595, 1314, 1204, 2139, 119, 23313, 18866, 12258, 19859, 1170, 488, 125, 128, 2578, 488, 124, 131, 131, 129, 1188, 3942, 2114, 1186, 18141, 8687, 28373, 11488, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 2720, 1227, 26851, 6298, 8156, 1186, 3141, 488, 124, 131, 124, 127, 8156, 1313, 20774, 488, 128, 176, 28077, 1125, 2801, 9317, 1188, 3942, 1105, 1175, 3732, 1314, 8687, 28373, 12125, 1416, 1467, 1186, 2578, 488, 124, 131, 131, 129, 9317, 1188, 488, 130, 125, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 6751, 1262, 4054, 1227, 25999, 11961, 3031, 14765, 1197, 24385, 6751, 1262, 5319, 23166, 1740, 7786, 1186, 12286, 2985, 27215, 3754, 4160, 1170, 23464, 1188, 21396, 9644, 180, 5907, 3450, 2985, 16233, 1317, 4319, 1227, 11402, 25525, 19565, 2368, 27563, 1370, 1300, 488, 124, 123, 123, 14277, 1813, 1227, 8030, 1317, 7758, 1167, 2985, 15762, 1188, 10170, 7587, 1125, 4173, 3740, 1167, 1192, 4505, 8910, 1165, 1145, 179, 2036, 2093, 15539, 1281, 2668, 1370, 1188, 3871, 23044, 20449, 1182, 1227, 23464, 2981, 7112, 3450, 3618, 1256, 8956, 1158, 19441, 1125, 1204, 1308, 1136, 2552, 26533, 1158, 23361, 14785, 1125, 11410, 1366, 7348, 116, 1167, 16642, 16330, 8910, 3859, 180, 19179, 1175, 2951, 172, 248, 6945, 1576, 3767, 8030, 119, 2399, 3031, 6676, 1303, 1215, 1158, 6751, 1262, 4054, 1227, 1165, 1570, 236, 1167, 1317, 7758, 1215, 1158, 6751, 1262, 4054, 1304, 4515, 1174, 1124, 1183, 236, 8370, 488, 124, 128, 126, 128, 119, 1594, 7754, 3693, 10170, 7587, 1125, 4173, 1150, 1285, 1469, 13324, 5519, 4505, 8910, 1165, 1145, 3004, 1167, 20652, 7587, 488, 217, 183, 2842, 1104, 8910, 1165, 1145, 179, 1810, 7809, 7085, 1158, 1408, 3828, 7969, 1217, 1112, 11069, 4550, 8969, 1227, 1198, 3301, 1469, 7762, 1734, 172, 1485, 1167, 7762, 1734, 1342, 10708, 488, 132, 123, 123, 6626, 1167, 1408, 1125, 488, 124, 123, 123, 14306, 4542, 2290, 1170, 5759, 1160, 5519, 4505, 8910, 1165, 1145, 179, 1810, 1256, 14675, 1158, 9644, 2651, 1125, 2770, 6751, 1262, 5319, 5133, 30108, 15624, 5987, 3618, 2445, 15927, 4539, 1117, 1313, 1816, 2217, 21163, 121, 1548, 10973, 3699, 7983, 1125, 21709, 3618, 1268, 5791, 1400, 24524, 2620, 20373, 1167, 29286, 2984, 6400, 1813, 1125, 26012, 15406, 1132, 6123, 3850, 23178, 3015, 14436, 248, 190, 8910, 1165, 237, 4540, 172, 1165, 4910, 1506, 2086, 1192, 4505, 8910, 1165, 1145, 3004, 3618, 1256, 2929, 1304, 31516, 1170, 28940, 1118, 1186, 14722, 1215, 16186, 1197, 1794, 14279, 3350, 1527, 2551, 15121, 1442, 1123, 7186, 8950, 4550, 1170, 25999, 11961, 1560, 1266, 2529, 121, 2576, 8636, 21163, 2985, 1189, 10287, 174, 30047, 1469, 1158, 4541, 1125, 1192, 4505, 8910, 1165, 1145, 179, 2036, 6487, 1125, 488, 130, 123, 123, 6626, 9442, 3731, 1167, 1207, 19878, 1701, 1355, 1213, 1164, 2089, 1256, 4345, 1571, 1645, 1401, 5899, 1167, 5610, 1188, 5370, 186, 1248, 7187, 11488, 1167, 5474, 2093, 157, 2504, 11961, 24357, 1227, 25999, 11961, 1560, 1266, 2529, 24357, 1227, 1165, 1570, 236, 32001, 1424, 32000, 20036, 2895, 6751, 1262, 4054, 1227, 25999, 11961, 3031, 14765, 1197, 24385, 6751, 1262, 5319, 23166, 1740, 7786, 1186, 12286, 2985, 27215, 3754, 4160, 1170, 23464, 1188, 21396, 9644, 180, 5907, 3450, 2985, 16233, 1317, 4319, 1227, 11402, 25525, 19565, 2368, 27563, 1370, 1300, 488, 124, 123, 123, 14277, 1813, 1227, 8030, 1317, 7758, 1167, 2985, 15762, 1188, 10170, 7587, 1125, 4173, 3740, 1167, 1192, 4505, 8910, 1165, 1145, 179, 2036, 2093, 15539, 1281, 2668, 1370, 1188, 3871, 23044, 20449, 1182, 1227, 23464, 2981, 7112, 3450, 3618, 1256, 8956, 1158, 19441, 1125, 1204, 1308, 1136, 2552, 26533, 1158, 23361, 14785, 1125, 11410, 1366, 7348, 116, 1167, 16642, 16330, 8910, 3859, 180, 19179, 1175, 2951, 172, 248, 6945, 1576, 3767, 8030, 119, 2399, 3031, 6676, 1303, 1215, 1158, 6751, 1262, 4054, 1227, 1165, 1570, 236, 1167, 1317, 7758, 1215, 1158, 6751, 1262, 4054, 1304, 4515, 1174, 1124, 1183, 236, 8370, 488, 124, 128, 126, 128, 119, 1594, 7754, 3693, 10170, 7587, 1125, 4173, 1150, 1285, 1469, 13324, 5519, 4505, 8910, 1165, 1145, 3004, 1167, 20652, 7587, 488, 217, 183, 2842, 1104, 8910, 1165, 1145, 179, 1810, 7809, 7085, 1158, 1408, 3828, 7969, 1217, 1112, 11069, 4550, 8969, 1227, 1198, 3301, 1469, 7762, 1734, 172, 1485, 1167, 7762, 1734, 1342, 10708, 488, 132, 123, 123, 6626, 1167, 1408, 1125, 488, 124, 123, 123, 14306, 4542, 2290, 1170, 5759, 1160, 5519, 4505, 8910, 1165, 1145, 179, 1810, 1256, 14675, 1158, 9644, 2651, 1125, 2770, 6751, 1262, 5319, 5133, 30108, 15624, 5987, 3618, 2445, 15927, 4539, 1117, 1313, 1816, 2217, 21163, 121, 1548, 10973, 3699, 7983, 1125, 21709, 3618, 1268, 5791, 1400, 24524, 2620, 20373, 1167, 29286, 2984, 6400, 1813, 1125, 26012, 15406, 1132, 6123, 3850, 23178, 3015, 14436, 248, 190, 8910, 1165, 237, 4540, 172, 1165, 4910, 1506, 2086, 1192, 4505, 8910, 1165, 1145, 3004, 3618, 1256, 2929, 1304, 31516, 1170, 28940, 1118, 1186, 14722, 1215, 16186, 1197, 1794, 14279, 3350, 1527, 2551, 15121, 1442, 1123, 7186, 8950, 4550, 1170, 25999, 11961, 1560, 1266, 2529, 121, 2576, 8636, 21163, 2985, 1189, 10287, 174, 30047, 1469, 1158, 4541, 1125, 1192, 4505, 8910, 1165, 1145, 179, 2036, 6487, 1125, 488, 130, 123, 123, 6626, 9442, 3731, 1167, 1207, 19878, 1701, 1355, 1213, 1164, 2089, 1256, 4345, 1571, 1645, 1401, 5899, 1167, 5610, 1188, 5370, 186, 1248, 7187, 11488, 1167, 5474, 2093, 157, 2504, 11961, 24357, 1227, 25999, 11961, 1560, 1266, 2529, 24357, 1227, 1165, 1570, 236, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 6751, 1262, 4054, 1227, 25999, 11961, 3031, 14765, 1197, 24385, 6751, 1262, 5319, 23166, 1740, 7786, 1186, 12286, 2985, 27215, 3754, 4160, 1170, 23464, 1188, 21396, 9644, 180, 5907, 3450, 2985, 16233, 1317, 4319, 1227, 11402, 25525, 19565, 2368, 27563, 1370, 1300, 488, 124, 123, 123, 14277, 1813, 1227, 8030, 1317, 7758, 1167, 2985, 15762, 1188, 10170, 7587, 1125, 4173, 3740, 1167, 1192, 4505, 8910, 1165, 1145, 179, 2036, 2093, 15539, 1281, 2668, 1370, 1188, 3871, 23044, 20449, 1182, 1227, 23464, 2981, 7112, 3450, 3618, 1256, 8956, 1158, 19441, 1125, 1204, 1308, 1136, 2552, 26533, 1158, 23361, 14785, 1125, 11410, 1366, 7348, 116, 1167, 16642, 16330, 8910, 3859, 180, 19179, 1175, 2951, 172, 248, 6945, 1576, 3767, 8030, 119, 2399, 3031, 6676, 1303, 1215, 1158, 6751, 1262, 4054, 1227, 1165, 1570, 236, 1167, 1317, 7758, 1215, 1158, 6751, 1262, 4054, 1304, 4515, 1174, 1124, 1183, 236, 8370, 488, 124, 128, 126, 128, 119, 1594, 7754, 3693, 10170, 7587, 1125, 4173, 1150, 1285, 1469, 13324, 5519, 4505, 8910, 1165, 1145, 3004, 1167, 20652, 7587, 488, 217, 183, 2842, 1104, 8910, 1165, 1145, 179, 1810, 7809, 7085, 1158, 1408, 3828, 7969, 1217, 1112, 11069, 4550, 8969, 1227, 1198, 3301, 1469, 7762, 1734, 172, 1485, 1167, 7762, 1734, 1342, 10708, 488, 132, 123, 123, 6626, 1167, 1408, 1125, 488, 124, 123, 123, 14306, 4542, 2290, 1170, 5759, 1160, 5519, 4505, 8910, 1165, 1145, 179, 1810, 1256, 14675, 1158, 9644, 2651, 1125, 2770, 6751, 1262, 5319, 5133, 30108, 15624, 5987, 3618, 2445, 15927, 4539, 1117, 1313, 1816, 2217, 21163, 121, 1548, 10973, 3699, 7983, 1125, 21709, 3618, 1268, 5791, 1400, 24524, 2620, 20373, 1167, 29286, 2984, 6400, 1813, 1125, 26012, 15406, 1132, 6123, 3850, 23178, 3015, 14436, 248, 190, 8910, 1165, 237, 4540, 172, 1165, 4910, 1506, 2086, 1192, 4505, 8910, 1165, 1145, 3004, 3618, 1256, 2929, 1304, 31516, 1170, 28940, 1118, 1186, 14722, 1215, 16186, 1197, 1794, 14279, 3350, 1527, 2551, 15121, 1442, 1123, 7186, 8950, 4550, 1170, 25999, 11961, 1560, 1266, 2529, 121, 2576, 8636, 21163, 2985, 1189, 10287, 174, 30047, 1469, 1158, 4541, 1125, 1192, 4505, 8910, 1165, 1145, 179, 2036, 6487, 1125, 488, 130, 123, 123, 6626, 9442, 3731, 1167, 1207, 19878, 1701, 1355, 1213, 1164, 2089, 1256, 4345, 1571, 1645, 1401, 5899, 1167, 5610, 1188, 5370, 186, 1248, 7187, 11488, 1167, 5474, 2093, 157, 2504, 11961, 24357, 1227, 25999, 11961, 1560, 1266, 2529, 24357, 1227, 1165, 1570, 236, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12928, 1585, 1516, 7451, 2443, 24051, 1186, 488, 124, 132, 127, 131, 1186, 1645, 19394, 116, 1299, 1189, 21359, 11682, 13787, 1125, 12770, 11316, 1167, 30771, 30530, 1125, 23879, 19394, 1227, 6973, 30967, 121, 1768, 1299, 16217, 1125, 1158, 11801, 13309, 1161, 9324, 1173, 2652, 1595, 6442, 6711, 1125, 1158, 13309, 1161, 5370, 3144, 1173, 2652, 1595, 1500, 6700, 1487, 6630, 4917, 180, 1496, 6711, 1125, 1158, 5370, 3144, 13309, 1161, 10123, 1175, 15784, 7540, 116, 1167, 6711, 20840, 1125, 1158, 5370, 3144, 1173, 2652, 187, 4133, 13309, 1161, 3398, 2036, 1768, 1299, 2072, 6711, 1227, 5308, 23595, 7431, 7879, 1188, 3318, 29670, 1119, 2585, 1527, 1110, 6581, 244, 1186, 488, 125, 123, 124, 128, 7745, 2652, 187, 4133, 1125, 27539, 8515, 2915, 23178, 1585, 1516, 7451, 2443, 1299, 14867, 21359, 1836, 1256, 15100, 1198, 2331, 3595, 190, 1313, 1282, 22151, 1125, 20024, 2585, 1527, 18532, 1197, 21359, 4133, 1125, 15483, 173, 1687, 1234, 1856, 23857, 9810, 1591, 8157, 25715, 1170, 10452, 1199, 17796, 1321, 180, 1475, 2397, 1320, 2982, 1753, 2064, 14941, 7507, 4748, 15095, 2324, 4396, 2114, 1233, 1567, 16202, 18090, 18584, 31918, 1706, 119, 2460, 1187, 4279, 5807, 151, 8012, 23128, 10941, 1320, 3100, 8980, 1165, 8012, 8415, 11978, 27157, 1124, 1190, 17618, 1158, 20926, 1632, 26859, 3556, 1518, 3340, 1214, 3870, 1307, 1277, 1167, 10721, 1836, 1125, 17089, 15181, 4148, 1123, 1219, 179, 28446, 1210, 1119, 7745, 2652, 187, 4133, 1125, 27539, 17104, 23178, 1585, 1516, 7451, 2443, 1110, 21359, 16438, 10028, 1362, 1186, 7645, 2071, 1197, 1821, 1205, 1429, 1125, 27539, 17104, 1186, 21683, 1362, 1186, 1116, 21162, 1768, 12770, 2317, 3203, 2515, 21431, 1125, 9605, 10681, 1188, 3203, 13895, 1125, 1561, 2492, 1256, 1170, 13296, 29276, 3847, 1768, 18532, 29743, 5523, 28340, 1188, 1158, 2768, 1256, 1170, 5654, 1433, 190, 12579, 11679, 1171, 7806, 4007, 7978, 1167, 1170, 1116, 3604, 1272, 1227, 10079, 28340, 1188, 1158, 11495, 1197, 1173, 2066, 1128, 1297, 1768, 1844, 1318, 26294, 1125, 7087, 6930, 17089, 248, 2842, 1256, 1318, 4405, 2301, 3798, 1768, 10452, 10796, 1256, 1207, 4546, 1813, 1125, 23811, 10623, 23986, 9605, 10681, 1167, 7762, 2905, 24038, 1256, 1170, 4966, 13995, 7978, 1188, 22028, 2620, 12770, 2317, 13075, 1254, 1554, 10962, 1256, 1282, 21377, 4371, 21087, 1319, 1284, 1188, 10221, 9467, 1346, 10036, 14760, 5339, 1256, 3335, 1310, 1488, 2086, 10623, 5386, 6291, 7497, 11814, 1679, 1586, 191, 1167, 1254, 12127, 1121, 11814, 1679, 1586, 191, 1256, 1170, 10623, 5386, 9941, 11814, 1679, 1586, 191, 5240, 11663, 14650, 1171, 11679, 1125, 2482, 15671, 6927, 15156, 1256, 1170, 6429, 1128, 7362, 9271, 11679, 1186, 11916, 2620, 17812, 7934, 2168, 6632, 1256, 1170, 17812, 7934, 2168, 6632, 5240, 11663, 14650, 1171, 11679, 1313, 1170, 10037, 1157, 2433, 1170, 30771, 4172, 8353, 1889, 1256, 1170, 13833, 1361, 15729, 1188, 20024, 1167, 1170, 30771, 1325, 8272, 26408, 1712, 1256, 1189, 3449, 11427, 1227, 22519, 23460, 1214, 12997, 12928, 1585, 1516, 7451, 2443, 5562, 1167, 9900, 1835, 2482, 4524, 1167, 12547, 1134, 30450, 1768, 1281, 9331, 1112, 1188, 2595, 1188, 6577, 12249, 1125, 28273, 24890, 29496, 1186, 488, 124, 132, 127, 131, 8156, 1186, 1645, 19394, 1505, 3149, 1291, 6338, 1354, 1628, 2652, 187, 1836, 14898, 1227, 23841, 6298, 1628, 2652, 187, 1836, 14898, 1227, 12136, 25525, 6298, 32001, 1424, 32000, 20036, 1628, 1585, 1516, 7451, 2443, 24051, 1186, 488, 124, 132, 127, 131, 1186, 1645, 19394, 116, 1299, 1189, 21359, 11682, 13787, 1125, 12770, 11316, 1167, 30771, 30530, 1125, 23879, 19394, 1227, 6973, 30967, 121, 1768, 1299, 16217, 1125, 1158, 11801, 13309, 1161, 9324, 1173, 2652, 1595, 6442, 6711, 1125, 1158, 13309, 1161, 5370, 3144, 1173, 2652, 1595, 1500, 6700, 1487, 6630, 4917, 180, 1496, 6711, 1125, 1158, 5370, 3144, 13309, 1161, 10123, 1175, 15784, 7540, 116, 1167, 6711, 20840, 1125, 1158, 5370, 3144, 1173, 2652, 187, 4133, 13309, 1161, 3398, 2036, 1768, 1299, 2072, 6711, 1227, 5308, 23595, 7431, 7879, 1188, 3318, 29670, 1119, 2585, 1527, 1110, 6581, 244, 1186, 488, 125, 123, 124, 128, 7745, 2652, 187, 4133, 1125, 27539, 8515, 2915, 23178, 1585, 1516, 7451, 2443, 1299, 14867, 21359, 1836, 1256, 15100, 1198, 2331, 3595, 190, 1313, 1282, 22151, 1125, 20024, 2585, 1527, 18532, 1197, 21359, 4133, 1125, 15483, 173, 1687, 1234, 1856, 23857, 9810, 1591, 8157, 25715, 1170, 10452, 1199, 17796, 1321, 180, 1475, 2397, 1320, 2982, 1753, 2064, 14941, 7507, 4748, 15095, 2324, 4396, 2114, 1233, 1567, 16202, 18090, 18584, 31918, 1706, 119, 2460, 1187, 4279, 5807, 151, 8012, 23128, 10941, 1320, 3100, 8980, 1165, 8012, 8415, 11978, 27157, 1124, 1190, 17618, 1158, 20926, 1632, 26859, 3556, 1518, 3340, 1214, 3870, 1307, 1277, 1167, 10721, 1836, 1125, 17089, 15181, 4148, 1123, 1219, 179, 28446, 1210, 1119, 7745, 2652, 187, 4133, 1125, 27539, 17104, 23178, 1585, 1516, 7451, 2443, 1110, 21359, 16438, 10028, 1362, 1186, 7645, 2071, 1197, 1821, 1205, 1429, 1125, 27539, 17104, 1186, 21683, 1362, 1186, 1116, 21162, 1768, 12770, 2317, 3203, 2515, 21431, 1125, 9605, 10681, 1188, 3203, 13895, 1125, 1561, 2492, 1256, 1170, 13296, 29276, 3847, 1768, 18532, 29743, 5523, 28340, 1188, 1158, 2768, 1256, 1170, 5654, 1433, 190, 12579, 11679, 1171, 7806, 4007, 7978, 1167, 1170, 1116, 3604, 1272, 1227, 10079, 28340, 1188, 1158, 11495, 1197, 1173, 2066, 1128, 1297, 1768, 1844, 1318, 26294, 1125, 7087, 6930, 17089, 248, 2842, 1256, 1318, 4405, 2301, 3798, 1768, 10452, 10796, 1256, 1207, 4546, 1813, 1125, 23811, 10623, 23986, 9605, 10681, 1167, 7762, 2905, 24038, 1256, 1170, 4966, 13995, 7978, 1188, 22028, 2620, 12770, 2317, 13075, 1254, 1554, 10962, 1256, 1282, 21377, 4371, 21087, 1319, 1284, 1188, 10221, 9467, 1346, 10036, 14760, 5339, 1256, 3335, 1310, 1488, 2086, 10623, 5386, 6291, 7497, 11814, 1679, 1586, 191, 1167, 1254, 12127, 1121, 11814, 1679, 1586, 191, 1256, 1170, 10623, 5386, 9941, 11814, 1679, 1586, 191, 5240, 11663, 14650, 1171, 11679, 1125, 2482, 15671, 6927, 15156, 1256, 1170, 6429, 1128, 7362, 9271, 11679, 1186, 11916, 2620, 17812, 7934, 2168, 6632, 1256, 1170, 17812, 7934, 2168, 6632, 5240, 11663, 14650, 1171, 11679, 1313, 1170, 10037, 1157, 2433, 1170, 30771, 4172, 8353, 1889, 1256, 1170, 13833, 1361, 15729, 1188, 20024, 1167, 1170, 30771, 1325, 8272, 26408, 1712, 1256, 1189, 3449, 11427, 1227, 22519, 23460, 1214, 12997, 12928, 1585, 1516, 7451, 2443, 5562, 1167, 9900, 1835, 2482, 4524, 1167, 12547, 1134, 30450, 1768, 1281, 9331, 1112, 1188, 2595, 1188, 6577, 12249, 1125, 28273, 24890, 29496, 1186, 488, 124, 132, 127, 131, 8156, 1186, 1645, 19394, 1505, 3149, 1291, 6338, 1354, 1628, 2652, 187, 1836, 14898, 1227, 23841, 6298, 1628, 2652, 187, 1836, 14898, 1227, 12136, 25525, 6298, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1628, 1585, 1516, 7451, 2443, 24051, 1186, 488, 124, 132, 127, 131, 1186, 1645, 19394, 116, 1299, 1189, 21359, 11682, 13787, 1125, 12770, 11316, 1167, 30771, 30530, 1125, 23879, 19394, 1227, 6973, 30967, 121, 1768, 1299, 16217, 1125, 1158, 11801, 13309, 1161, 9324, 1173, 2652, 1595, 6442, 6711, 1125, 1158, 13309, 1161, 5370, 3144, 1173, 2652, 1595, 1500, 6700, 1487, 6630, 4917, 180, 1496, 6711, 1125, 1158, 5370, 3144, 13309, 1161, 10123, 1175, 15784, 7540, 116, 1167, 6711, 20840, 1125, 1158, 5370, 3144, 1173, 2652, 187, 4133, 13309, 1161, 3398, 2036, 1768, 1299, 2072, 6711, 1227, 5308, 23595, 7431, 7879, 1188, 3318, 29670, 1119, 2585, 1527, 1110, 6581, 244, 1186, 488, 125, 123, 124, 128, 7745, 2652, 187, 4133, 1125, 27539, 8515, 2915, 23178, 1585, 1516, 7451, 2443, 1299, 14867, 21359, 1836, 1256, 15100, 1198, 2331, 3595, 190, 1313, 1282, 22151, 1125, 20024, 2585, 1527, 18532, 1197, 21359, 4133, 1125, 15483, 173, 1687, 1234, 1856, 23857, 9810, 1591, 8157, 25715, 1170, 10452, 1199, 17796, 1321, 180, 1475, 2397, 1320, 2982, 1753, 2064, 14941, 7507, 4748, 15095, 2324, 4396, 2114, 1233, 1567, 16202, 18090, 18584, 31918, 1706, 119, 2460, 1187, 4279, 5807, 151, 8012, 23128, 10941, 1320, 3100, 8980, 1165, 8012, 8415, 11978, 27157, 1124, 1190, 17618, 1158, 20926, 1632, 26859, 3556, 1518, 3340, 1214, 3870, 1307, 1277, 1167, 10721, 1836, 1125, 17089, 15181, 4148, 1123, 1219, 179, 28446, 1210, 1119, 7745, 2652, 187, 4133, 1125, 27539, 17104, 23178, 1585, 1516, 7451, 2443, 1110, 21359, 16438, 10028, 1362, 1186, 7645, 2071, 1197, 1821, 1205, 1429, 1125, 27539, 17104, 1186, 21683, 1362, 1186, 1116, 21162, 1768, 12770, 2317, 3203, 2515, 21431, 1125, 9605, 10681, 1188, 3203, 13895, 1125, 1561, 2492, 1256, 1170, 13296, 29276, 3847, 1768, 18532, 29743, 5523, 28340, 1188, 1158, 2768, 1256, 1170, 5654, 1433, 190, 12579, 11679, 1171, 7806, 4007, 7978, 1167, 1170, 1116, 3604, 1272, 1227, 10079, 28340, 1188, 1158, 11495, 1197, 1173, 2066, 1128, 1297, 1768, 1844, 1318, 26294, 1125, 7087, 6930, 17089, 248, 2842, 1256, 1318, 4405, 2301, 3798, 1768, 10452, 10796, 1256, 1207, 4546, 1813, 1125, 23811, 10623, 23986, 9605, 10681, 1167, 7762, 2905, 24038, 1256, 1170, 4966, 13995, 7978, 1188, 22028, 2620, 12770, 2317, 13075, 1254, 1554, 10962, 1256, 1282, 21377, 4371, 21087, 1319, 1284, 1188, 10221, 9467, 1346, 10036, 14760, 5339, 1256, 3335, 1310, 1488, 2086, 10623, 5386, 6291, 7497, 11814, 1679, 1586, 191, 1167, 1254, 12127, 1121, 11814, 1679, 1586, 191, 1256, 1170, 10623, 5386, 9941, 11814, 1679, 1586, 191, 5240, 11663, 14650, 1171, 11679, 1125, 2482, 15671, 6927, 15156, 1256, 1170, 6429, 1128, 7362, 9271, 11679, 1186, 11916, 2620, 17812, 7934, 2168, 6632, 1256, 1170, 17812, 7934, 2168, 6632, 5240, 11663, 14650, 1171, 11679, 1313, 1170, 10037, 1157, 2433, 1170, 30771, 4172, 8353, 1889, 1256, 1170, 13833, 1361, 15729, 1188, 20024, 1167, 1170, 30771, 1325, 8272, 26408, 1712, 1256, 1189, 3449, 11427, 1227, 22519, 23460, 1214, 12997, 12928, 1585, 1516, 7451, 2443, 5562, 1167, 9900, 1835, 2482, 4524, 1167, 12547, 1134, 30450, 1768, 1281, 9331, 1112, 1188, 2595, 1188, 6577, 12249, 1125, 28273, 24890, 29496, 1186, 488, 124, 132, 127, 131, 8156, 1186, 1645, 19394, 1505, 3149, 1291, 6338, 1354, 1628, 2652, 187, 1836, 14898, 1227, 23841, 6298, 1628, 2652, 187, 1836, 14898, 1227, 12136, 25525, 6298, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 1175, 124, 132, 128, 125, 116, 1299, 1189, 3418, 1125, 2195, 176, 1167, 27462, 1303, 17779, 8922, 1215, 10958, 2601, 2504, 27359, 1539, 2993, 1167, 9665, 1186, 488, 124, 132, 128, 125, 7745, 31751, 1424, 17971, 11402, 176, 19565, 2069, 6346, 6626, 19053, 1125, 13086, 19372, 184, 1429, 1281, 1771, 1129, 2519, 22880, 1675, 1477, 3502, 19571, 15577, 4979, 1299, 3591, 1188, 10399, 15640, 13625, 2312, 12520, 1129, 21267, 1125, 1158, 2076, 4875, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 1643, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 106, 20638, 5379, 17779, 1257, 1424, 5294, 1790, 1793, 1257, 10958, 2601, 2504, 27359, 1539, 2993, 106, 2941, 1538, 5844, 1257, 10958, 2601, 2504, 27359, 1539, 1142, 2433, 6868, 1273, 186, 3934, 1349, 119, 22279, 7187, 14436, 1205, 180, 7494, 31838, 27583, 186, 1266, 1456, 1728, 106, 10272, 4134, 1257, 1424, 4304, 1272, 1257, 1266, 4384, 4173, 1193, 1333, 106, 20357, 1257, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 106, 6064, 1500, 1257, 22279, 7187, 14436, 1205, 180, 7494, 1333, 106, 13511, 6862, 1257, 1222, 5844, 1165, 1168, 13854, 106, 19210, 1257, 20652, 11180, 17347, 1128, 2086, 1266, 11113, 6660, 17450, 1172, 9945, 7676, 1125, 4052, 1257, 3479, 9808, 6687, 12483, 106, 9299, 1125, 4052, 1257, 20375, 106, 9313, 1277, 17482, 1257, 17779, 106, 24178, 1257, 17392, 1167, 7207, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 9945, 25694, 1257, 488, 132, 125, 4826, 106, 8399, 1112, 1257, 3418, 1125, 2195, 176, 1167, 27462, 1303, 106, 1222, 2026, 1125, 8969, 2232, 20375, 1257, 488, 124, 132, 128, 125, 1175, 2964, 172, 11661, 1568, 1170, 488, 124, 123, 2875, 1260, 2315, 1257, 2093, 143, 10995, 1424, 13661, 24326, 2932, 1912, 180, 1257, 7072, 1452, 172, 4732, 1716, 1307, 1333, 186, 1720, 13160, 19063, 1366, 1257, 7927, 172, 1222, 10445, 3728, 1126, 14731, 3166, 1173, 1322, 186, 1257, 4466, 6271, 6660, 4732, 1716, 1307, 1333, 186, 12063, 1728, 10958, 1502, 6526, 1257, 1918, 6271, 3795, 1291, 180, 15588, 25096, 186, 1222, 29282, 2504, 1257, 3091, 1728, 3795, 1291, 180, 1875, 4384, 3318, 177, 1112, 1331, 1257, 1753, 2589, 11113, 3052, 22321, 2602, 1164, 9836, 1257, 1772, 1450, 1645, 14655, 4234, 17949, 1532, 17943, 16714, 15814, 10520, 186, 3795, 1291, 180, 12063, 1728, 1266, 1109, 13854, 1257, 10958, 1651, 30230, 1173, 2048, 7348, 1750, 3377, 7497, 6279, 5043, 180, 1257, 4466, 1532, 1233, 2601, 1575, 16213, 1452, 186, 1202, 1104, 1159, 1257, 1202, 7203, 1150, 1720, 5844, 1173, 1478, 1107, 1257, 16691, 18642, 1136, 1125, 2544, 1333, 1628, 2683, 2504, 27064, 9927, 1117, 1257, 1248, 1119, 1374, 186, 2172, 4732, 1716, 1307, 1333, 186, 1763, 1214, 3166, 7997, 5043, 1706, 186, 1257, 15722, 1248, 3906, 1414, 186, 2911, 180, 2966, 1174, 186, 1252, 1342, 5834, 1257, 4732, 27789, 172, 21122, 4234, 3091, 1190, 1108, 24681, 1257, 1248, 3906, 1414, 186, 1628, 6786, 186, 11398, 178, 1333, 186, 1257, 8420, 1128, 2911, 180, 1203, 2504, 5863, 247, 10958, 1203, 2504, 1720, 5844, 7494, 1333, 1257, 4428, 1660, 23399, 1125, 1233, 2601, 1575, 1530, 3708, 2908, 1475, 20125, 1257, 1746, 2009, 9323, 1167, 16828, 5825, 28912, 6417, 17779, 9665, 1186, 488, 124, 132, 128, 125, 15089, 13335, 12980, 17779, 15089, 1125, 2195, 176, 1167, 27462, 1303, 15089, 7808, 1960, 17779, 15089, 1186, 17779, 15089, 1281, 8866, 11953, 1317, 11402, 176, 6298, 15089, 30720, 1188, 11188, 15089, 17779, 1186, 7272, 1167, 7207, 15089, 1469, 1318, 7585, 17350, 1215, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 109, 32001, 1424, 32000, 20036, 2895, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 1175, 124, 132, 128, 125, 116, 1299, 1189, 3418, 1125, 2195, 176, 1167, 27462, 1303, 17779, 8922, 1215, 10958, 2601, 2504, 27359, 1539, 2993, 1167, 9665, 1186, 488, 124, 132, 128, 125, 7745, 31751, 1424, 17971, 11402, 176, 19565, 2069, 6346, 6626, 19053, 1125, 13086, 19372, 184, 1429, 1281, 1771, 1129, 2519, 22880, 1675, 1477, 3502, 19571, 15577, 4979, 1299, 3591, 1188, 10399, 15640, 13625, 2312, 12520, 1129, 21267, 1125, 1158, 2076, 4875, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 1643, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 106, 20638, 5379, 17779, 1257, 1424, 5294, 1790, 1793, 1257, 10958, 2601, 2504, 27359, 1539, 2993, 106, 2941, 1538, 5844, 1257, 10958, 2601, 2504, 27359, 1539, 1142, 2433, 6868, 1273, 186, 3934, 1349, 119, 22279, 7187, 14436, 1205, 180, 7494, 31838, 27583, 186, 1266, 1456, 1728, 106, 10272, 4134, 1257, 1424, 4304, 1272, 1257, 1266, 4384, 4173, 1193, 1333, 106, 20357, 1257, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 106, 6064, 1500, 1257, 22279, 7187, 14436, 1205, 180, 7494, 1333, 106, 13511, 6862, 1257, 1222, 5844, 1165, 1168, 13854, 106, 19210, 1257, 20652, 11180, 17347, 1128, 2086, 1266, 11113, 6660, 17450, 1172, 9945, 7676, 1125, 4052, 1257, 3479, 9808, 6687, 12483, 106, 9299, 1125, 4052, 1257, 20375, 106, 9313, 1277, 17482, 1257, 17779, 106, 24178, 1257, 17392, 1167, 7207, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 9945, 25694, 1257, 488, 132, 125, 4826, 106, 8399, 1112, 1257, 3418, 1125, 2195, 176, 1167, 27462, 1303, 106, 1222, 2026, 1125, 8969, 2232, 20375, 1257, 488, 124, 132, 128, 125, 1175, 2964, 172, 11661, 1568, 1170, 488, 124, 123, 2875, 1260, 2315, 1257, 2093, 143, 10995, 1424, 13661, 24326, 2932, 1912, 180, 1257, 7072, 1452, 172, 4732, 1716, 1307, 1333, 186, 1720, 13160, 19063, 1366, 1257, 7927, 172, 1222, 10445, 3728, 1126, 14731, 3166, 1173, 1322, 186, 1257, 4466, 6271, 6660, 4732, 1716, 1307, 1333, 186, 12063, 1728, 10958, 1502, 6526, 1257, 1918, 6271, 3795, 1291, 180, 15588, 25096, 186, 1222, 29282, 2504, 1257, 3091, 1728, 3795, 1291, 180, 1875, 4384, 3318, 177, 1112, 1331, 1257, 1753, 2589, 11113, 3052, 22321, 2602, 1164, 9836, 1257, 1772, 1450, 1645, 14655, 4234, 17949, 1532, 17943, 16714, 15814, 10520, 186, 3795, 1291, 180, 12063, 1728, 1266, 1109, 13854, 1257, 10958, 1651, 30230, 1173, 2048, 7348, 1750, 3377, 7497, 6279, 5043, 180, 1257, 4466, 1532, 1233, 2601, 1575, 16213, 1452, 186, 1202, 1104, 1159, 1257, 1202, 7203, 1150, 1720, 5844, 1173, 1478, 1107, 1257, 16691, 18642, 1136, 1125, 2544, 1333, 1628, 2683, 2504, 27064, 9927, 1117, 1257, 1248, 1119, 1374, 186, 2172, 4732, 1716, 1307, 1333, 186, 1763, 1214, 3166, 7997, 5043, 1706, 186, 1257, 15722, 1248, 3906, 1414, 186, 2911, 180, 2966, 1174, 186, 1252, 1342, 5834, 1257, 4732, 27789, 172, 21122, 4234, 3091, 1190, 1108, 24681, 1257, 1248, 3906, 1414, 186, 1628, 6786, 186, 11398, 178, 1333, 186, 1257, 8420, 1128, 2911, 180, 1203, 2504, 5863, 247, 10958, 1203, 2504, 1720, 5844, 7494, 1333, 1257, 4428, 1660, 23399, 1125, 1233, 2601, 1575, 1530, 3708, 2908, 1475, 20125, 1257, 1746, 2009, 9323, 1167, 16828, 5825, 28912, 6417, 17779, 9665, 1186, 488, 124, 132, 128, 125, 15089, 13335, 12980, 17779, 15089, 1125, 2195, 176, 1167, 27462, 1303, 15089, 7808, 1960, 17779, 15089, 1186, 17779, 15089, 1281, 8866, 11953, 1317, 11402, 176, 6298, 15089, 30720, 1188, 11188, 15089, 17779, 1186, 7272, 1167, 7207, 15089, 1469, 1318, 7585, 17350, 1215, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 109, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 1175, 124, 132, 128, 125, 116, 1299, 1189, 3418, 1125, 2195, 176, 1167, 27462, 1303, 17779, 8922, 1215, 10958, 2601, 2504, 27359, 1539, 2993, 1167, 9665, 1186, 488, 124, 132, 128, 125, 7745, 31751, 1424, 17971, 11402, 176, 19565, 2069, 6346, 6626, 19053, 1125, 13086, 19372, 184, 1429, 1281, 1771, 1129, 2519, 22880, 1675, 1477, 3502, 19571, 15577, 4979, 1299, 3591, 1188, 10399, 15640, 13625, 2312, 12520, 1129, 21267, 1125, 1158, 2076, 4875, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 1643, 2769, 1120, 1396, 1774, 1125, 1158, 3543, 1125, 8008, 106, 20638, 5379, 17779, 1257, 1424, 5294, 1790, 1793, 1257, 10958, 2601, 2504, 27359, 1539, 2993, 106, 2941, 1538, 5844, 1257, 10958, 2601, 2504, 27359, 1539, 1142, 2433, 6868, 1273, 186, 3934, 1349, 119, 22279, 7187, 14436, 1205, 180, 7494, 31838, 27583, 186, 1266, 1456, 1728, 106, 10272, 4134, 1257, 1424, 4304, 1272, 1257, 1266, 4384, 4173, 1193, 1333, 106, 20357, 1257, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 106, 6064, 1500, 1257, 22279, 7187, 14436, 1205, 180, 7494, 1333, 106, 13511, 6862, 1257, 1222, 5844, 1165, 1168, 13854, 106, 19210, 1257, 20652, 11180, 17347, 1128, 2086, 1266, 11113, 6660, 17450, 1172, 9945, 7676, 1125, 4052, 1257, 3479, 9808, 6687, 12483, 106, 9299, 1125, 4052, 1257, 20375, 106, 9313, 1277, 17482, 1257, 17779, 106, 24178, 1257, 17392, 1167, 7207, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 9945, 25694, 1257, 488, 132, 125, 4826, 106, 8399, 1112, 1257, 3418, 1125, 2195, 176, 1167, 27462, 1303, 106, 1222, 2026, 1125, 8969, 2232, 20375, 1257, 488, 124, 132, 128, 125, 1175, 2964, 172, 11661, 1568, 1170, 488, 124, 123, 2875, 1260, 2315, 1257, 2093, 143, 10995, 1424, 13661, 24326, 2932, 1912, 180, 1257, 7072, 1452, 172, 4732, 1716, 1307, 1333, 186, 1720, 13160, 19063, 1366, 1257, 7927, 172, 1222, 10445, 3728, 1126, 14731, 3166, 1173, 1322, 186, 1257, 4466, 6271, 6660, 4732, 1716, 1307, 1333, 186, 12063, 1728, 10958, 1502, 6526, 1257, 1918, 6271, 3795, 1291, 180, 15588, 25096, 186, 1222, 29282, 2504, 1257, 3091, 1728, 3795, 1291, 180, 1875, 4384, 3318, 177, 1112, 1331, 1257, 1753, 2589, 11113, 3052, 22321, 2602, 1164, 9836, 1257, 1772, 1450, 1645, 14655, 4234, 17949, 1532, 17943, 16714, 15814, 10520, 186, 3795, 1291, 180, 12063, 1728, 1266, 1109, 13854, 1257, 10958, 1651, 30230, 1173, 2048, 7348, 1750, 3377, 7497, 6279, 5043, 180, 1257, 4466, 1532, 1233, 2601, 1575, 16213, 1452, 186, 1202, 1104, 1159, 1257, 1202, 7203, 1150, 1720, 5844, 1173, 1478, 1107, 1257, 16691, 18642, 1136, 1125, 2544, 1333, 1628, 2683, 2504, 27064, 9927, 1117, 1257, 1248, 1119, 1374, 186, 2172, 4732, 1716, 1307, 1333, 186, 1763, 1214, 3166, 7997, 5043, 1706, 186, 1257, 15722, 1248, 3906, 1414, 186, 2911, 180, 2966, 1174, 186, 1252, 1342, 5834, 1257, 4732, 27789, 172, 21122, 4234, 3091, 1190, 1108, 24681, 1257, 1248, 3906, 1414, 186, 1628, 6786, 186, 11398, 178, 1333, 186, 1257, 8420, 1128, 2911, 180, 1203, 2504, 5863, 247, 10958, 1203, 2504, 1720, 5844, 7494, 1333, 1257, 4428, 1660, 23399, 1125, 1233, 2601, 1575, 1530, 3708, 2908, 1475, 20125, 1257, 1746, 2009, 9323, 1167, 16828, 5825, 28912, 6417, 17779, 9665, 1186, 488, 124, 132, 128, 125, 15089, 13335, 12980, 17779, 15089, 1125, 2195, 176, 1167, 27462, 1303, 15089, 7808, 1960, 17779, 15089, 1186, 17779, 15089, 1281, 8866, 11953, 1317, 11402, 176, 6298, 15089, 30720, 1188, 11188, 15089, 17779, 1186, 7272, 1167, 7207, 15089, 1469, 1318, 7585, 17350, 1215, 3091, 1728, 1248, 1153, 1310, 7198, 1333, 109, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 164, 1456, 9046, 1321, 1220, 1108, 14232, 1170, 488, 124, 131, 2578, 488, 124, 132, 132, 132, 119, 1299, 1318, 10809, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 3847, 3450, 28160, 1317, 8536, 1125, 9293, 1278, 1317, 1173, 3246, 142, 1167, 1469, 10796, 5277, 26561, 2621, 4964, 14231, 13519, 1456, 173, 2433, 5921, 1125, 20774, 24526, 1108, 1125, 1663, 1125, 19219, 1167, 4578, 18324, 6266, 1321, 1220, 2765, 1110, 13551, 1188, 9571, 1317, 19219, 1188, 19910, 1125, 488, 130, 2165, 1188, 9368, 16947, 1210, 1167, 1110, 4759, 244, 2797, 10721, 15422, 1197, 6346, 1188, 1350, 11086, 1291, 6631, 4511, 488, 124, 128, 5305, 2399, 1110, 3839, 1844, 1909, 9881, 4826, 1186, 1106, 2550, 488, 124, 121, 23688, 1170, 3694, 3781, 27216, 2391, 1125, 1561, 3453, 6586, 10554, 1175, 125, 123, 124, 128, 120, 125, 123, 124, 129, 1496, 2399, 1110, 22521, 244, 9368, 16947, 1210, 1256, 3225, 1119, 2831, 5445, 2494, 119, 2585, 2399, 8135, 8510, 1303, 1856, 15560, 1197, 15901, 1125, 6662, 1902, 121, 4511, 29595, 488, 125, 123, 124, 132, 119, 1671, 1456, 9046, 1299, 28371, 1317, 1173, 3246, 7440, 1186, 3247, 1188, 4262, 1125, 1909, 6943, 26242, 1506, 1457, 3450, 1110, 19680, 1594, 3151, 3904, 4578, 1256, 10796, 21937, 1678, 1186, 2749, 488, 125, 123, 124, 131, 2714, 1207, 9864, 1167, 6739, 4795, 4247, 1309, 1125, 10600, 5576, 116, 4826, 1256, 1594, 3151, 1663, 4578, 25886, 4096, 2586, 2340, 1110, 1844, 1909, 28407, 1186, 4924, 3453, 1186, 2749, 488, 125, 123, 124, 131, 1186, 7892, 2620, 2391, 2335, 18592, 4000, 1629, 3904, 1675, 1926, 2714, 1207, 9864, 8732, 26361, 2911, 2066, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 130, 1628, 1142, 1263, 1257, 1317, 6707, 1764, 1198, 8529, 196, 488, 125, 123, 124, 131, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 124, 132, 1628, 1142, 1263, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 132, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 123, 120, 125, 123, 125, 124, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 15948, 7364, 5825, 1194, 149, 15167, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 1105, 8156, 1186, 2578, 488, 124, 132, 132, 132, 32001, 1424, 32000, 20036, 13519, 1456, 9046, 1321, 1220, 1108, 14232, 1170, 488, 124, 131, 2578, 488, 124, 132, 132, 132, 119, 1299, 1318, 10809, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 3847, 3450, 28160, 1317, 8536, 1125, 9293, 1278, 1317, 1173, 3246, 142, 1167, 1469, 10796, 5277, 26561, 2621, 4964, 14231, 13519, 1456, 173, 2433, 5921, 1125, 20774, 24526, 1108, 1125, 1663, 1125, 19219, 1167, 4578, 18324, 6266, 1321, 1220, 2765, 1110, 13551, 1188, 9571, 1317, 19219, 1188, 19910, 1125, 488, 130, 2165, 1188, 9368, 16947, 1210, 1167, 1110, 4759, 244, 2797, 10721, 15422, 1197, 6346, 1188, 1350, 11086, 1291, 6631, 4511, 488, 124, 128, 5305, 2399, 1110, 3839, 1844, 1909, 9881, 4826, 1186, 1106, 2550, 488, 124, 121, 23688, 1170, 3694, 3781, 27216, 2391, 1125, 1561, 3453, 6586, 10554, 1175, 125, 123, 124, 128, 120, 125, 123, 124, 129, 1496, 2399, 1110, 22521, 244, 9368, 16947, 1210, 1256, 3225, 1119, 2831, 5445, 2494, 119, 2585, 2399, 8135, 8510, 1303, 1856, 15560, 1197, 15901, 1125, 6662, 1902, 121, 4511, 29595, 488, 125, 123, 124, 132, 119, 1671, 1456, 9046, 1299, 28371, 1317, 1173, 3246, 7440, 1186, 3247, 1188, 4262, 1125, 1909, 6943, 26242, 1506, 1457, 3450, 1110, 19680, 1594, 3151, 3904, 4578, 1256, 10796, 21937, 1678, 1186, 2749, 488, 125, 123, 124, 131, 2714, 1207, 9864, 1167, 6739, 4795, 4247, 1309, 1125, 10600, 5576, 116, 4826, 1256, 1594, 3151, 1663, 4578, 25886, 4096, 2586, 2340, 1110, 1844, 1909, 28407, 1186, 4924, 3453, 1186, 2749, 488, 125, 123, 124, 131, 1186, 7892, 2620, 2391, 2335, 18592, 4000, 1629, 3904, 1675, 1926, 2714, 1207, 9864, 8732, 26361, 2911, 2066, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 130, 1628, 1142, 1263, 1257, 1317, 6707, 1764, 1198, 8529, 196, 488, 125, 123, 124, 131, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 124, 132, 1628, 1142, 1263, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 132, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 123, 120, 125, 123, 125, 124, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 15948, 7364, 5825, 1194, 149, 15167, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 1105, 8156, 1186, 2578, 488, 124, 132, 132, 132, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13519, 1456, 9046, 1321, 1220, 1108, 14232, 1170, 488, 124, 131, 2578, 488, 124, 132, 132, 132, 119, 1299, 1318, 10809, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 3847, 3450, 28160, 1317, 8536, 1125, 9293, 1278, 1317, 1173, 3246, 142, 1167, 1469, 10796, 5277, 26561, 2621, 4964, 14231, 13519, 1456, 173, 2433, 5921, 1125, 20774, 24526, 1108, 1125, 1663, 1125, 19219, 1167, 4578, 18324, 6266, 1321, 1220, 2765, 1110, 13551, 1188, 9571, 1317, 19219, 1188, 19910, 1125, 488, 130, 2165, 1188, 9368, 16947, 1210, 1167, 1110, 4759, 244, 2797, 10721, 15422, 1197, 6346, 1188, 1350, 11086, 1291, 6631, 4511, 488, 124, 128, 5305, 2399, 1110, 3839, 1844, 1909, 9881, 4826, 1186, 1106, 2550, 488, 124, 121, 23688, 1170, 3694, 3781, 27216, 2391, 1125, 1561, 3453, 6586, 10554, 1175, 125, 123, 124, 128, 120, 125, 123, 124, 129, 1496, 2399, 1110, 22521, 244, 9368, 16947, 1210, 1256, 3225, 1119, 2831, 5445, 2494, 119, 2585, 2399, 8135, 8510, 1303, 1856, 15560, 1197, 15901, 1125, 6662, 1902, 121, 4511, 29595, 488, 125, 123, 124, 132, 119, 1671, 1456, 9046, 1299, 28371, 1317, 1173, 3246, 7440, 1186, 3247, 1188, 4262, 1125, 1909, 6943, 26242, 1506, 1457, 3450, 1110, 19680, 1594, 3151, 3904, 4578, 1256, 10796, 21937, 1678, 1186, 2749, 488, 125, 123, 124, 131, 2714, 1207, 9864, 1167, 6739, 4795, 4247, 1309, 1125, 10600, 5576, 116, 4826, 1256, 1594, 3151, 1663, 4578, 25886, 4096, 2586, 2340, 1110, 1844, 1909, 28407, 1186, 4924, 3453, 1186, 2749, 488, 125, 123, 124, 131, 1186, 7892, 2620, 2391, 2335, 18592, 4000, 1629, 3904, 1675, 1926, 2714, 1207, 9864, 8732, 26361, 2911, 2066, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 130, 1628, 1142, 1263, 1257, 1317, 6707, 1764, 1198, 8529, 196, 488, 125, 123, 124, 131, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 124, 132, 1628, 1142, 1263, 1257, 1188, 5613, 22887, 1405, 125, 124, 488, 125, 123, 124, 132, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 123, 120, 125, 123, 125, 124, 2911, 2066, 1257, 1188, 1158, 15696, 6049, 488, 125, 123, 125, 124, 120, 125, 123, 125, 125, 15948, 7364, 5825, 1194, 149, 15167, 1632, 26561, 2621, 4964, 1125, 19219, 1300, 7671, 1105, 8156, 1186, 2578, 488, 124, 132, 132, 132, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1140, 24418, 11435, 1532, 1669, 2086, 2072, 17874, 2290, 1170, 1874, 1125, 1264, 4437, 10357, 24418, 1202, 3145, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 128, 119, 1299, 1318, 8605, 1452, 1774, 1167, 9374, 2038, 9320, 14662, 13213, 3747, 1227, 7808, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1357, 1110, 1844, 22337, 1186, 20375, 14231, 21311, 1140, 24418, 11435, 1532, 1669, 186, 1110, 2511, 180, 1313, 1158, 5715, 3837, 1114, 1146, 1142, 3556, 5519, 1780, 11174, 1488, 2086, 1313, 1158, 10660, 1125, 10255, 2988, 1186, 10034, 4654, 3450, 1844, 22337, 1167, 7354, 13970, 2391, 1125, 1158, 8969, 1125, 1594, 3151, 8605, 3100, 24137, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 7763, 1357, 14995, 3212, 1188, 3862, 1125, 1594, 5865, 6601, 1147, 23394, 1158, 2492, 17954, 4128, 2590, 1303, 7230, 1110, 21571, 2391, 1125, 1561, 6018, 22854, 7190, 2932, 8605, 3100, 24511, 1188, 1408, 2335, 11028, 4750, 5147, 4122, 1690, 1186, 10034, 2620, 1110, 1913, 5858, 244, 1313, 488, 127, 123, 3293, 1167, 1110, 1913, 18583, 1313, 1408, 1125, 488, 126, 123, 14230, 1457, 10357, 24418, 11435, 1532, 1669, 186, 1110, 17813, 14169, 1282, 1273, 1109, 4986, 1125, 1215, 1594, 6018, 19412, 1167, 1158, 9110, 5147, 3156, 1300, 1197, 8744, 20630, 1317, 3442, 1965, 1188, 4428, 1137, 21248, 5634, 1167, 1317, 1114, 5995, 2010, 1141, 5200, 2923, 30079, 5562, 11041, 1188, 23055, 157, 1544, 1469, 10036, 1252, 1992, 2433, 1170, 8658, 1125, 1594, 8325, 7213, 1252, 1992, 6533, 14005, 6677, 3450, 1110, 5617, 1594, 6311, 8605, 3100, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 1496, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 20437, 1186, 488, 125, 123, 123, 128, 119, 1189, 3418, 14317, 1125, 1594, 3151, 8605, 3100, 24137, 10357, 24418, 1202, 3145, 1110, 1913, 2513, 1215, 30541, 8486, 1266, 1107, 180, 1167, 8922, 1215, 8415, 172, 3276, 1217, 2288, 1109, 2181, 9997, 10357, 24418, 11435, 1532, 1669, 186, 1110, 3155, 4290, 244, 1816, 6889, 2071, 7576, 1105, 13503, 1207, 1618, 1485, 1227, 3418, 1215, 3598, 1188, 1594, 7808, 121, 1653, 3012, 488, 125, 123, 123, 129, 119, 2399, 5016, 1189, 8483, 8605, 3100, 24137, 1459, 1139, 1544, 31088, 114, 1174, 1345, 6396, 192, 1874, 1125, 21440, 1496, 14268, 1856, 1318, 8710, 15425, 1317, 1116, 24115, 7071, 1292, 186, 1248, 7653, 2433, 1313, 6640, 2399, 7576, 5276, 1207, 11092, 190, 1125, 22938, 22187, 1317, 5545, 1125, 1158, 8077, 3657, 25339, 1167, 31118, 1158, 28370, 174, 1348, 1227, 3293, 9663, 13449, 24281, 1137, 1220, 1424, 488, 125, 123, 123, 126, 1257, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1175, 124, 123, 123, 1600, 2990, 2172, 1499, 9344, 9177, 1674, 1724, 2172, 1171, 1532, 1110, 17937, 1229, 116, 1424, 488, 125, 123, 123, 128, 1257, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 116, 1424, 488, 125, 123, 124, 123, 1257, 11539, 1424, 488, 125, 123, 124, 124, 1257, 6760, 4270, 1314, 1194, 144, 1722, 1298, 1424, 488, 125, 123, 123, 129, 1257, 1459, 1139, 1544, 31088, 114, 1174, 1345, 1424, 488, 125, 123, 124, 124, 1257, 1459, 10034, 1575, 1995, 1270, 4662, 172, 1675, 1345, 7364, 5825, 1424, 1424, 488, 11579, 9229, 23435, 31958, 1262, 17779, 1227, 12136, 25525, 6298, 1750, 1137, 1452, 1774, 25339, 2586, 1722, 1242, 2038, 25339, 5526, 31958, 1262, 1114, 1146, 1142, 1354, 8156, 1186, 2584, 488, 124, 132, 131, 128, 8156, 1188, 1192, 1780, 11174, 11113, 32001, 1424, 32000, 20036, 1720, 1140, 24418, 11435, 1532, 1669, 2086, 2072, 17874, 2290, 1170, 1874, 1125, 1264, 4437, 10357, 24418, 1202, 3145, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 128, 119, 1299, 1318, 8605, 1452, 1774, 1167, 9374, 2038, 9320, 14662, 13213, 3747, 1227, 7808, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1357, 1110, 1844, 22337, 1186, 20375, 14231, 21311, 1140, 24418, 11435, 1532, 1669, 186, 1110, 2511, 180, 1313, 1158, 5715, 3837, 1114, 1146, 1142, 3556, 5519, 1780, 11174, 1488, 2086, 1313, 1158, 10660, 1125, 10255, 2988, 1186, 10034, 4654, 3450, 1844, 22337, 1167, 7354, 13970, 2391, 1125, 1158, 8969, 1125, 1594, 3151, 8605, 3100, 24137, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 7763, 1357, 14995, 3212, 1188, 3862, 1125, 1594, 5865, 6601, 1147, 23394, 1158, 2492, 17954, 4128, 2590, 1303, 7230, 1110, 21571, 2391, 1125, 1561, 6018, 22854, 7190, 2932, 8605, 3100, 24511, 1188, 1408, 2335, 11028, 4750, 5147, 4122, 1690, 1186, 10034, 2620, 1110, 1913, 5858, 244, 1313, 488, 127, 123, 3293, 1167, 1110, 1913, 18583, 1313, 1408, 1125, 488, 126, 123, 14230, 1457, 10357, 24418, 11435, 1532, 1669, 186, 1110, 17813, 14169, 1282, 1273, 1109, 4986, 1125, 1215, 1594, 6018, 19412, 1167, 1158, 9110, 5147, 3156, 1300, 1197, 8744, 20630, 1317, 3442, 1965, 1188, 4428, 1137, 21248, 5634, 1167, 1317, 1114, 5995, 2010, 1141, 5200, 2923, 30079, 5562, 11041, 1188, 23055, 157, 1544, 1469, 10036, 1252, 1992, 2433, 1170, 8658, 1125, 1594, 8325, 7213, 1252, 1992, 6533, 14005, 6677, 3450, 1110, 5617, 1594, 6311, 8605, 3100, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 1496, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 20437, 1186, 488, 125, 123, 123, 128, 119, 1189, 3418, 14317, 1125, 1594, 3151, 8605, 3100, 24137, 10357, 24418, 1202, 3145, 1110, 1913, 2513, 1215, 30541, 8486, 1266, 1107, 180, 1167, 8922, 1215, 8415, 172, 3276, 1217, 2288, 1109, 2181, 9997, 10357, 24418, 11435, 1532, 1669, 186, 1110, 3155, 4290, 244, 1816, 6889, 2071, 7576, 1105, 13503, 1207, 1618, 1485, 1227, 3418, 1215, 3598, 1188, 1594, 7808, 121, 1653, 3012, 488, 125, 123, 123, 129, 119, 2399, 5016, 1189, 8483, 8605, 3100, 24137, 1459, 1139, 1544, 31088, 114, 1174, 1345, 6396, 192, 1874, 1125, 21440, 1496, 14268, 1856, 1318, 8710, 15425, 1317, 1116, 24115, 7071, 1292, 186, 1248, 7653, 2433, 1313, 6640, 2399, 7576, 5276, 1207, 11092, 190, 1125, 22938, 22187, 1317, 5545, 1125, 1158, 8077, 3657, 25339, 1167, 31118, 1158, 28370, 174, 1348, 1227, 3293, 9663, 13449, 24281, 1137, 1220, 1424, 488, 125, 123, 123, 126, 1257, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1175, 124, 123, 123, 1600, 2990, 2172, 1499, 9344, 9177, 1674, 1724, 2172, 1171, 1532, 1110, 17937, 1229, 116, 1424, 488, 125, 123, 123, 128, 1257, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 116, 1424, 488, 125, 123, 124, 123, 1257, 11539, 1424, 488, 125, 123, 124, 124, 1257, 6760, 4270, 1314, 1194, 144, 1722, 1298, 1424, 488, 125, 123, 123, 129, 1257, 1459, 1139, 1544, 31088, 114, 1174, 1345, 1424, 488, 125, 123, 124, 124, 1257, 1459, 10034, 1575, 1995, 1270, 4662, 172, 1675, 1345, 7364, 5825, 1424, 1424, 488, 11579, 9229, 23435, 31958, 1262, 17779, 1227, 12136, 25525, 6298, 1750, 1137, 1452, 1774, 25339, 2586, 1722, 1242, 2038, 25339, 5526, 31958, 1262, 1114, 1146, 1142, 1354, 8156, 1186, 2584, 488, 124, 132, 131, 128, 8156, 1188, 1192, 1780, 11174, 11113, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1720, 1140, 24418, 11435, 1532, 1669, 2086, 2072, 17874, 2290, 1170, 1874, 1125, 1264, 4437, 10357, 24418, 1202, 3145, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 128, 119, 1299, 1318, 8605, 1452, 1774, 1167, 9374, 2038, 9320, 14662, 13213, 3747, 1227, 7808, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1357, 1110, 1844, 22337, 1186, 20375, 14231, 21311, 1140, 24418, 11435, 1532, 1669, 186, 1110, 2511, 180, 1313, 1158, 5715, 3837, 1114, 1146, 1142, 3556, 5519, 1780, 11174, 1488, 2086, 1313, 1158, 10660, 1125, 10255, 2988, 1186, 10034, 4654, 3450, 1844, 22337, 1167, 7354, 13970, 2391, 1125, 1158, 8969, 1125, 1594, 3151, 8605, 3100, 24137, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 7763, 1357, 14995, 3212, 1188, 3862, 1125, 1594, 5865, 6601, 1147, 23394, 1158, 2492, 17954, 4128, 2590, 1303, 7230, 1110, 21571, 2391, 1125, 1561, 6018, 22854, 7190, 2932, 8605, 3100, 24511, 1188, 1408, 2335, 11028, 4750, 5147, 4122, 1690, 1186, 10034, 2620, 1110, 1913, 5858, 244, 1313, 488, 127, 123, 3293, 1167, 1110, 1913, 18583, 1313, 1408, 1125, 488, 126, 123, 14230, 1457, 10357, 24418, 11435, 1532, 1669, 186, 1110, 17813, 14169, 1282, 1273, 1109, 4986, 1125, 1215, 1594, 6018, 19412, 1167, 1158, 9110, 5147, 3156, 1300, 1197, 8744, 20630, 1317, 3442, 1965, 1188, 4428, 1137, 21248, 5634, 1167, 1317, 1114, 5995, 2010, 1141, 5200, 2923, 30079, 5562, 11041, 1188, 23055, 157, 1544, 1469, 10036, 1252, 1992, 2433, 1170, 8658, 1125, 1594, 8325, 7213, 1252, 1992, 6533, 14005, 6677, 3450, 1110, 5617, 1594, 6311, 8605, 3100, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 1496, 8325, 1348, 1186, 488, 125, 123, 123, 128, 121, 20437, 1186, 488, 125, 123, 123, 128, 119, 1189, 3418, 14317, 1125, 1594, 3151, 8605, 3100, 24137, 10357, 24418, 1202, 3145, 1110, 1913, 2513, 1215, 30541, 8486, 1266, 1107, 180, 1167, 8922, 1215, 8415, 172, 3276, 1217, 2288, 1109, 2181, 9997, 10357, 24418, 11435, 1532, 1669, 186, 1110, 3155, 4290, 244, 1816, 6889, 2071, 7576, 1105, 13503, 1207, 1618, 1485, 1227, 3418, 1215, 3598, 1188, 1594, 7808, 121, 1653, 3012, 488, 125, 123, 123, 129, 119, 2399, 5016, 1189, 8483, 8605, 3100, 24137, 1459, 1139, 1544, 31088, 114, 1174, 1345, 6396, 192, 1874, 1125, 21440, 1496, 14268, 1856, 1318, 8710, 15425, 1317, 1116, 24115, 7071, 1292, 186, 1248, 7653, 2433, 1313, 6640, 2399, 7576, 5276, 1207, 11092, 190, 1125, 22938, 22187, 1317, 5545, 1125, 1158, 8077, 3657, 25339, 1167, 31118, 1158, 28370, 174, 1348, 1227, 3293, 9663, 13449, 24281, 1137, 1220, 1424, 488, 125, 123, 123, 126, 1257, 8332, 17137, 1125, 3343, 190, 1206, 2567, 1304, 9458, 17937, 1187, 1175, 124, 123, 123, 1600, 2990, 2172, 1499, 9344, 9177, 1674, 1724, 2172, 1171, 1532, 1110, 17937, 1229, 116, 1424, 488, 125, 123, 123, 128, 1257, 2576, 154, 25014, 1125, 5412, 8355, 1126, 6574, 114, 1259, 1345, 3981, 3316, 186, 2400, 9249, 116, 1424, 488, 125, 123, 124, 123, 1257, 11539, 1424, 488, 125, 123, 124, 124, 1257, 6760, 4270, 1314, 1194, 144, 1722, 1298, 1424, 488, 125, 123, 123, 129, 1257, 1459, 1139, 1544, 31088, 114, 1174, 1345, 1424, 488, 125, 123, 124, 124, 1257, 1459, 10034, 1575, 1995, 1270, 4662, 172, 1675, 1345, 7364, 5825, 1424, 1424, 488, 11579, 9229, 23435, 31958, 1262, 17779, 1227, 12136, 25525, 6298, 1750, 1137, 1452, 1774, 25339, 2586, 1722, 1242, 2038, 25339, 5526, 31958, 1262, 1114, 1146, 1142, 1354, 8156, 1186, 2584, 488, 124, 132, 131, 128, 8156, 1188, 1192, 1780, 11174, 11113, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 18263, 5304, 488, 124, 129, 126, 131, 1110, 1913, 21837, 2806, 1186, 8938, 2620, 1215, 1207, 12420, 10088, 8623, 224, 28716, 12662, 1565, 1430, 2093, 9339, 1134, 7613, 5440, 1706, 186, 1257, 1222, 10445, 1978, 1575, 6354, 2496, 1108, 7348, 1175, 21163, 6139, 1303, 1125, 1282, 18956, 9053, 1186, 488, 124, 129, 125, 124, 1718, 1293, 11204, 1379, 7445, 16642, 1107, 1126, 1257, 5645, 1443, 172, 1166, 4785, 1104, 1388, 1198, 2508, 1141, 186, 8830, 1119, 10445, 1257, 1424, 11631, 1790, 8938, 180, 241, 1281, 192, 7360, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 9468, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 123, 125, 120, 124, 129, 125, 126, 121, 1254, 5108, 1522, 2416, 1303, 1215, 10958, 1651, 30230, 6660, 1266, 16005, 2433, 488, 126, 1111, 3145, 1233, 1737, 6664, 2397, 1119, 7060, 31838, 488, 124, 132, 129, 130, 1155, 7360, 2564, 1120, 1146, 2036, 11631, 1790, 8938, 1575, 1281, 192, 2367, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 1255, 1739, 1250, 3113, 4581, 172, 9502, 184, 1514, 121, 16424, 488, 124, 186, 1175, 23241, 488, 124, 129, 126, 131, 119, 1338, 1740, 121, 7311, 1109, 488, 124, 132, 129, 124, 1496, 9891, 11876, 1215, 10787, 1202, 1105, 17940, 2086, 1233, 29223, 19800, 7352, 1233, 1662, 488, 124, 132, 132, 127, 1155, 25074, 1575, 20385, 1790, 119, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 124, 125, 120, 124, 129, 124, 131, 121, 488, 128, 29222, 23587, 1158, 2646, 5496, 1369, 1175, 124, 129, 124, 131, 1496, 1158, 2172, 1366, 174, 8640, 1158, 10261, 1630, 1121, 3725, 1158, 2958, 1234, 2620, 1167, 13400, 1388, 10036, 1306, 1383, 6482, 1257, 1867, 3189, 180, 3366, 1175, 124, 129, 126, 131, 120, 124, 129, 126, 132, 1496, 4966, 14650, 1161, 1325, 12043, 1192, 1620, 10668, 194, 3771, 119, 14335, 488, 128, 125, 132, 130, 2040, 9053, 1215, 6709, 6868, 22719, 1167, 13147, 27734, 17746, 1186, 3433, 1274, 1443, 4988, 1125, 1158, 11996, 1960, 1227, 1606, 1867, 1204, 2506, 186, 1524, 1125, 10036, 2294, 6196, 488, 127, 127, 132, 120, 127, 129, 123, 2040, 1606, 1867, 3189, 180, 5068, 19784, 1125, 6767, 6388, 1125, 1539, 17339, 4532, 1300, 1318, 3451, 16402, 1125, 1867, 3934, 187, 1345, 3133, 14976, 119, 18129, 1167, 9547, 1215, 3479, 15689, 7658, 1147, 25074, 2620, 1859, 1913, 488, 124, 132, 131, 132, 119, 488, 126, 120, 125, 124, 7885, 2532, 2339, 2093, 488, 1188, 2801, 1257, 13742, 1204, 1366, 2266, 14477, 4541, 1188, 2801, 1170, 1859, 1299, 1189, 1747, 6160, 12277, 119, 1268, 1640, 1329, 2111, 1354, 1167, 5430, 1737, 1354, 24610, 3762, 1909, 5230, 6712, 1527, 1110, 3748, 3134, 1188, 11362, 244, 2011, 1107, 1158, 17117, 1125, 13811, 6678, 1109, 1167, 3190, 174, 1516, 1457, 1204, 1366, 2266, 3383, 1299, 5350, 9918, 1256, 1909, 22253, 2252, 1125, 1158, 29028, 1197, 10862, 1186, 8056, 1167, 1125, 15466, 185, 10224, 1357, 2435, 7039, 1125, 17654, 1107, 1170, 6315, 15006, 1125, 8056, 1313, 3219, 7074, 1227, 2854, 2442, 1309, 1282, 1655, 1450, 9462, 1336, 1125, 1282, 25871, 26473, 1125, 8056, 121, 1768, 1299, 28208, 1125, 488, 1215, 1170, 1747, 6160, 12277, 22187, 2605, 11150, 1293, 2312, 1105, 8509, 1416, 1467, 2093, 488, 1257, 18651, 14540, 2068, 1276, 1153, 10737, 24051, 1186, 488, 124, 128, 129, 126, 116, 1299, 1189, 1747, 6160, 12277, 1167, 5430, 1737, 1354, 1338, 1434, 244, 2353, 10816, 119, 9820, 17023, 1125, 1158, 3837, 6348, 6732, 1108, 1125, 488, 124, 129, 123, 127, 7328, 1561, 27688, 1440, 1357, 2435, 14600, 1125, 4271, 1909, 10862, 1186, 5854, 1186, 2968, 7225, 9409, 1188, 1594, 15259, 21232, 6668, 1188, 1158, 28420, 1207, 18873, 1125, 1158, 18714, 3691, 1571, 1465, 244, 23354, 1227, 23366, 1125, 1772, 1439, 1388, 488, 1257, 18651, 1783, 2133, 1109, 7478, 2068, 190, 1427, 24051, 1186, 488, 124, 128, 131, 131, 116, 1299, 1189, 5430, 1737, 11493, 1747, 6160, 12277, 1167, 2170, 25781, 1740, 2038, 11286, 1199, 2382, 12744, 2038, 10816, 11488, 1167, 20117, 2072, 1424, 488, 124, 129, 126, 131, 1186, 14580, 1194, 124, 129, 126, 131, 16100, 161, 3463, 176, 6298, 1186, 20727, 114, 32001, 1424, 32000, 20036, 24623, 18263, 5304, 488, 124, 129, 126, 131, 1110, 1913, 21837, 2806, 1186, 8938, 2620, 1215, 1207, 12420, 10088, 8623, 224, 28716, 12662, 1565, 1430, 2093, 9339, 1134, 7613, 5440, 1706, 186, 1257, 1222, 10445, 1978, 1575, 6354, 2496, 1108, 7348, 1175, 21163, 6139, 1303, 1125, 1282, 18956, 9053, 1186, 488, 124, 129, 125, 124, 1718, 1293, 11204, 1379, 7445, 16642, 1107, 1126, 1257, 5645, 1443, 172, 1166, 4785, 1104, 1388, 1198, 2508, 1141, 186, 8830, 1119, 10445, 1257, 1424, 11631, 1790, 8938, 180, 241, 1281, 192, 7360, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 9468, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 123, 125, 120, 124, 129, 125, 126, 121, 1254, 5108, 1522, 2416, 1303, 1215, 10958, 1651, 30230, 6660, 1266, 16005, 2433, 488, 126, 1111, 3145, 1233, 1737, 6664, 2397, 1119, 7060, 31838, 488, 124, 132, 129, 130, 1155, 7360, 2564, 1120, 1146, 2036, 11631, 1790, 8938, 1575, 1281, 192, 2367, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 1255, 1739, 1250, 3113, 4581, 172, 9502, 184, 1514, 121, 16424, 488, 124, 186, 1175, 23241, 488, 124, 129, 126, 131, 119, 1338, 1740, 121, 7311, 1109, 488, 124, 132, 129, 124, 1496, 9891, 11876, 1215, 10787, 1202, 1105, 17940, 2086, 1233, 29223, 19800, 7352, 1233, 1662, 488, 124, 132, 132, 127, 1155, 25074, 1575, 20385, 1790, 119, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 124, 125, 120, 124, 129, 124, 131, 121, 488, 128, 29222, 23587, 1158, 2646, 5496, 1369, 1175, 124, 129, 124, 131, 1496, 1158, 2172, 1366, 174, 8640, 1158, 10261, 1630, 1121, 3725, 1158, 2958, 1234, 2620, 1167, 13400, 1388, 10036, 1306, 1383, 6482, 1257, 1867, 3189, 180, 3366, 1175, 124, 129, 126, 131, 120, 124, 129, 126, 132, 1496, 4966, 14650, 1161, 1325, 12043, 1192, 1620, 10668, 194, 3771, 119, 14335, 488, 128, 125, 132, 130, 2040, 9053, 1215, 6709, 6868, 22719, 1167, 13147, 27734, 17746, 1186, 3433, 1274, 1443, 4988, 1125, 1158, 11996, 1960, 1227, 1606, 1867, 1204, 2506, 186, 1524, 1125, 10036, 2294, 6196, 488, 127, 127, 132, 120, 127, 129, 123, 2040, 1606, 1867, 3189, 180, 5068, 19784, 1125, 6767, 6388, 1125, 1539, 17339, 4532, 1300, 1318, 3451, 16402, 1125, 1867, 3934, 187, 1345, 3133, 14976, 119, 18129, 1167, 9547, 1215, 3479, 15689, 7658, 1147, 25074, 2620, 1859, 1913, 488, 124, 132, 131, 132, 119, 488, 126, 120, 125, 124, 7885, 2532, 2339, 2093, 488, 1188, 2801, 1257, 13742, 1204, 1366, 2266, 14477, 4541, 1188, 2801, 1170, 1859, 1299, 1189, 1747, 6160, 12277, 119, 1268, 1640, 1329, 2111, 1354, 1167, 5430, 1737, 1354, 24610, 3762, 1909, 5230, 6712, 1527, 1110, 3748, 3134, 1188, 11362, 244, 2011, 1107, 1158, 17117, 1125, 13811, 6678, 1109, 1167, 3190, 174, 1516, 1457, 1204, 1366, 2266, 3383, 1299, 5350, 9918, 1256, 1909, 22253, 2252, 1125, 1158, 29028, 1197, 10862, 1186, 8056, 1167, 1125, 15466, 185, 10224, 1357, 2435, 7039, 1125, 17654, 1107, 1170, 6315, 15006, 1125, 8056, 1313, 3219, 7074, 1227, 2854, 2442, 1309, 1282, 1655, 1450, 9462, 1336, 1125, 1282, 25871, 26473, 1125, 8056, 121, 1768, 1299, 28208, 1125, 488, 1215, 1170, 1747, 6160, 12277, 22187, 2605, 11150, 1293, 2312, 1105, 8509, 1416, 1467, 2093, 488, 1257, 18651, 14540, 2068, 1276, 1153, 10737, 24051, 1186, 488, 124, 128, 129, 126, 116, 1299, 1189, 1747, 6160, 12277, 1167, 5430, 1737, 1354, 1338, 1434, 244, 2353, 10816, 119, 9820, 17023, 1125, 1158, 3837, 6348, 6732, 1108, 1125, 488, 124, 129, 123, 127, 7328, 1561, 27688, 1440, 1357, 2435, 14600, 1125, 4271, 1909, 10862, 1186, 5854, 1186, 2968, 7225, 9409, 1188, 1594, 15259, 21232, 6668, 1188, 1158, 28420, 1207, 18873, 1125, 1158, 18714, 3691, 1571, 1465, 244, 23354, 1227, 23366, 1125, 1772, 1439, 1388, 488, 1257, 18651, 1783, 2133, 1109, 7478, 2068, 190, 1427, 24051, 1186, 488, 124, 128, 131, 131, 116, 1299, 1189, 5430, 1737, 11493, 1747, 6160, 12277, 1167, 2170, 25781, 1740, 2038, 11286, 1199, 2382, 12744, 2038, 10816, 11488, 1167, 20117, 2072, 1424, 488, 124, 129, 126, 131, 1186, 14580, 1194, 124, 129, 126, 131, 16100, 161, 3463, 176, 6298, 1186, 20727, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 18263, 5304, 488, 124, 129, 126, 131, 1110, 1913, 21837, 2806, 1186, 8938, 2620, 1215, 1207, 12420, 10088, 8623, 224, 28716, 12662, 1565, 1430, 2093, 9339, 1134, 7613, 5440, 1706, 186, 1257, 1222, 10445, 1978, 1575, 6354, 2496, 1108, 7348, 1175, 21163, 6139, 1303, 1125, 1282, 18956, 9053, 1186, 488, 124, 129, 125, 124, 1718, 1293, 11204, 1379, 7445, 16642, 1107, 1126, 1257, 5645, 1443, 172, 1166, 4785, 1104, 1388, 1198, 2508, 1141, 186, 8830, 1119, 10445, 1257, 1424, 11631, 1790, 8938, 180, 241, 1281, 192, 7360, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 9468, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 123, 125, 120, 124, 129, 125, 126, 121, 1254, 5108, 1522, 2416, 1303, 1215, 10958, 1651, 30230, 6660, 1266, 16005, 2433, 488, 126, 1111, 3145, 1233, 1737, 6664, 2397, 1119, 7060, 31838, 488, 124, 132, 129, 130, 1155, 7360, 2564, 1120, 1146, 2036, 11631, 1790, 8938, 1575, 1281, 192, 2367, 12256, 1591, 1146, 1124, 1255, 1177, 1107, 1255, 1739, 1250, 3113, 4581, 172, 9502, 184, 1514, 121, 16424, 488, 124, 186, 1175, 23241, 488, 124, 129, 126, 131, 119, 1338, 1740, 121, 7311, 1109, 488, 124, 132, 129, 124, 1496, 9891, 11876, 1215, 10787, 1202, 1105, 17940, 2086, 1233, 29223, 19800, 7352, 1233, 1662, 488, 124, 132, 132, 127, 1155, 25074, 1575, 20385, 1790, 119, 6721, 488, 1253, 5108, 488, 124, 129, 126, 131, 121, 24742, 27171, 1186, 488, 124, 129, 124, 125, 120, 124, 129, 124, 131, 121, 488, 128, 29222, 23587, 1158, 2646, 5496, 1369, 1175, 124, 129, 124, 131, 1496, 1158, 2172, 1366, 174, 8640, 1158, 10261, 1630, 1121, 3725, 1158, 2958, 1234, 2620, 1167, 13400, 1388, 10036, 1306, 1383, 6482, 1257, 1867, 3189, 180, 3366, 1175, 124, 129, 126, 131, 120, 124, 129, 126, 132, 1496, 4966, 14650, 1161, 1325, 12043, 1192, 1620, 10668, 194, 3771, 119, 14335, 488, 128, 125, 132, 130, 2040, 9053, 1215, 6709, 6868, 22719, 1167, 13147, 27734, 17746, 1186, 3433, 1274, 1443, 4988, 1125, 1158, 11996, 1960, 1227, 1606, 1867, 1204, 2506, 186, 1524, 1125, 10036, 2294, 6196, 488, 127, 127, 132, 120, 127, 129, 123, 2040, 1606, 1867, 3189, 180, 5068, 19784, 1125, 6767, 6388, 1125, 1539, 17339, 4532, 1300, 1318, 3451, 16402, 1125, 1867, 3934, 187, 1345, 3133, 14976, 119, 18129, 1167, 9547, 1215, 3479, 15689, 7658, 1147, 25074, 2620, 1859, 1913, 488, 124, 132, 131, 132, 119, 488, 126, 120, 125, 124, 7885, 2532, 2339, 2093, 488, 1188, 2801, 1257, 13742, 1204, 1366, 2266, 14477, 4541, 1188, 2801, 1170, 1859, 1299, 1189, 1747, 6160, 12277, 119, 1268, 1640, 1329, 2111, 1354, 1167, 5430, 1737, 1354, 24610, 3762, 1909, 5230, 6712, 1527, 1110, 3748, 3134, 1188, 11362, 244, 2011, 1107, 1158, 17117, 1125, 13811, 6678, 1109, 1167, 3190, 174, 1516, 1457, 1204, 1366, 2266, 3383, 1299, 5350, 9918, 1256, 1909, 22253, 2252, 1125, 1158, 29028, 1197, 10862, 1186, 8056, 1167, 1125, 15466, 185, 10224, 1357, 2435, 7039, 1125, 17654, 1107, 1170, 6315, 15006, 1125, 8056, 1313, 3219, 7074, 1227, 2854, 2442, 1309, 1282, 1655, 1450, 9462, 1336, 1125, 1282, 25871, 26473, 1125, 8056, 121, 1768, 1299, 28208, 1125, 488, 1215, 1170, 1747, 6160, 12277, 22187, 2605, 11150, 1293, 2312, 1105, 8509, 1416, 1467, 2093, 488, 1257, 18651, 14540, 2068, 1276, 1153, 10737, 24051, 1186, 488, 124, 128, 129, 126, 116, 1299, 1189, 1747, 6160, 12277, 1167, 5430, 1737, 1354, 1338, 1434, 244, 2353, 10816, 119, 9820, 17023, 1125, 1158, 3837, 6348, 6732, 1108, 1125, 488, 124, 129, 123, 127, 7328, 1561, 27688, 1440, 1357, 2435, 14600, 1125, 4271, 1909, 10862, 1186, 5854, 1186, 2968, 7225, 9409, 1188, 1594, 15259, 21232, 6668, 1188, 1158, 28420, 1207, 18873, 1125, 1158, 18714, 3691, 1571, 1465, 244, 23354, 1227, 23366, 1125, 1772, 1439, 1388, 488, 1257, 18651, 1783, 2133, 1109, 7478, 2068, 190, 1427, 24051, 1186, 488, 124, 128, 131, 131, 116, 1299, 1189, 5430, 1737, 11493, 1747, 6160, 12277, 1167, 2170, 25781, 1740, 2038, 11286, 1199, 2382, 12744, 2038, 10816, 11488, 1167, 20117, 2072, 1424, 488, 124, 129, 126, 131, 1186, 14580, 1194, 124, 129, 126, 131, 16100, 161, 3463, 176, 6298, 1186, 20727, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 1306, 6460, 1922, 16889, 1299, 1318, 1360, 1603, 1230, 14898, 1125, 2262, 488, 125, 124, 1186, 2424, 1313, 1158, 11801, 27250, 3672, 1158, 6545, 1197, 4732, 1118, 2252, 7745, 172, 1179, 1415, 1299, 1601, 1303, 1170, 488, 488, 125, 2584, 488, 124, 132, 130, 128, 1317, 20873, 3202, 1132, 1671, 9434, 2460, 1461, 6307, 1201, 1125, 4861, 1141, 178, 13597, 1186, 2605, 12945, 14340, 1768, 1299, 17034, 1170, 488, 131, 2822, 488, 124, 132, 130, 130, 1167, 3902, 1186, 2424, 1170, 488, 124, 130, 3141, 488, 124, 132, 130, 132, 2290, 1170, 5759, 1160, 1227, 21749, 23197, 14187, 3341, 7747, 8448, 1182, 15826, 2904, 1112, 1197, 4732, 1118, 2252, 15624, 488, 125, 124, 2738, 488, 124, 132, 131, 125, 119, 3042, 3365, 1281, 5428, 1370, 1313, 1170, 4452, 5548, 1197, 4732, 1118, 2252, 1256, 11161, 1170, 4128, 16273, 1160, 1197, 11801, 1918, 2252, 1188, 6284, 31100, 1175, 9298, 1173, 1178, 2333, 1496, 1527, 2985, 4766, 16724, 1511, 1215, 1197, 28775, 12431, 6542, 1536, 5702, 1167, 3945, 4111, 1125, 18323, 179, 2554, 5544, 1222, 18632, 1167, 14664, 3277, 1125, 1158, 5148, 27465, 17323, 4994, 1643, 3453, 25243, 1110, 3902, 6696, 1304, 11075, 1158, 2555, 19978, 19883, 2985, 1215, 1158, 3011, 5159, 1303, 1188, 1318, 12029, 1125, 5125, 488, 127, 1139, 283, 1506, 4495, 1167, 1318, 3247, 1125, 10905, 1232, 1160, 1186, 1408, 1125, 1158, 17598, 1227, 22076, 13649, 1643, 6311, 25243, 1110, 1919, 3134, 1170, 27214, 1188, 10905, 4096, 119, 1177, 2388, 1207, 3000, 1274, 1429, 1188, 6676, 1147, 1636, 1216, 255, 183, 2234, 18726, 2233, 16889, 8135, 6143, 27027, 1300, 1189, 3080, 1996, 14171, 1313, 1158, 1138, 9312, 1125, 26430, 5523, 21158, 121, 1643, 1360, 1603, 1230, 1306, 6460, 1671, 2569, 3297, 10072, 1797, 1207, 19878, 5996, 2576, 2233, 16889, 1110, 4222, 244, 1188, 17721, 2495, 7328, 1594, 1139, 10702, 3277, 1317, 11887, 1227, 488, 125, 126, 2738, 488, 124, 132, 131, 125, 121, 3767, 30047, 488, 125, 125, 4634, 1283, 25502, 1272, 2004, 11708, 1158, 2492, 11488, 1167, 20117, 20544, 11052, 1424, 12253, 1197, 26921, 1125, 1158, 11801, 27250, 17994, 1424, 1424, 1424, 1424, 1306, 6460, 1922, 16889, 9756, 7364, 5825, 1424, 7612, 22609, 10479, 1161, 1459, 1134, 25318, 11354, 1459, 1845, 1410, 1200, 3377, 7223, 1306, 6460, 1922, 16889, 106, 1293, 14816, 5450, 2966, 488, 124, 132, 131, 124, 1703, 1306, 6460, 1922, 16889, 5587, 124, 131, 127, 116, 31197, 1149, 1135, 10016, 6427, 1518, 5200, 3545, 1135, 27221, 15005, 8429, 4713, 1137, 1125, 20901, 1875, 1342, 1229, 13826, 1300, 1158, 1165, 1269, 1208, 2056, 13974, 17034, 1186, 488, 124, 132, 130, 128, 2056, 13974, 1125, 1158, 11801, 27250, 1125, 1158, 6545, 1197, 4732, 1118, 2252, 1505, 1128, 1573, 23218, 21266, 1186, 488, 124, 132, 131, 125, 5526, 187, 1435, 1125, 1282, 31383, 18293, 1960, 1875, 1342, 1229, 3175, 7847, 1186, 488, 124, 132, 131, 125, 114, 32001, 1424, 32000, 20036, 2359, 1306, 6460, 1922, 16889, 1299, 1318, 1360, 1603, 1230, 14898, 1125, 2262, 488, 125, 124, 1186, 2424, 1313, 1158, 11801, 27250, 3672, 1158, 6545, 1197, 4732, 1118, 2252, 7745, 172, 1179, 1415, 1299, 1601, 1303, 1170, 488, 488, 125, 2584, 488, 124, 132, 130, 128, 1317, 20873, 3202, 1132, 1671, 9434, 2460, 1461, 6307, 1201, 1125, 4861, 1141, 178, 13597, 1186, 2605, 12945, 14340, 1768, 1299, 17034, 1170, 488, 131, 2822, 488, 124, 132, 130, 130, 1167, 3902, 1186, 2424, 1170, 488, 124, 130, 3141, 488, 124, 132, 130, 132, 2290, 1170, 5759, 1160, 1227, 21749, 23197, 14187, 3341, 7747, 8448, 1182, 15826, 2904, 1112, 1197, 4732, 1118, 2252, 15624, 488, 125, 124, 2738, 488, 124, 132, 131, 125, 119, 3042, 3365, 1281, 5428, 1370, 1313, 1170, 4452, 5548, 1197, 4732, 1118, 2252, 1256, 11161, 1170, 4128, 16273, 1160, 1197, 11801, 1918, 2252, 1188, 6284, 31100, 1175, 9298, 1173, 1178, 2333, 1496, 1527, 2985, 4766, 16724, 1511, 1215, 1197, 28775, 12431, 6542, 1536, 5702, 1167, 3945, 4111, 1125, 18323, 179, 2554, 5544, 1222, 18632, 1167, 14664, 3277, 1125, 1158, 5148, 27465, 17323, 4994, 1643, 3453, 25243, 1110, 3902, 6696, 1304, 11075, 1158, 2555, 19978, 19883, 2985, 1215, 1158, 3011, 5159, 1303, 1188, 1318, 12029, 1125, 5125, 488, 127, 1139, 283, 1506, 4495, 1167, 1318, 3247, 1125, 10905, 1232, 1160, 1186, 1408, 1125, 1158, 17598, 1227, 22076, 13649, 1643, 6311, 25243, 1110, 1919, 3134, 1170, 27214, 1188, 10905, 4096, 119, 1177, 2388, 1207, 3000, 1274, 1429, 1188, 6676, 1147, 1636, 1216, 255, 183, 2234, 18726, 2233, 16889, 8135, 6143, 27027, 1300, 1189, 3080, 1996, 14171, 1313, 1158, 1138, 9312, 1125, 26430, 5523, 21158, 121, 1643, 1360, 1603, 1230, 1306, 6460, 1671, 2569, 3297, 10072, 1797, 1207, 19878, 5996, 2576, 2233, 16889, 1110, 4222, 244, 1188, 17721, 2495, 7328, 1594, 1139, 10702, 3277, 1317, 11887, 1227, 488, 125, 126, 2738, 488, 124, 132, 131, 125, 121, 3767, 30047, 488, 125, 125, 4634, 1283, 25502, 1272, 2004, 11708, 1158, 2492, 11488, 1167, 20117, 20544, 11052, 1424, 12253, 1197, 26921, 1125, 1158, 11801, 27250, 17994, 1424, 1424, 1424, 1424, 1306, 6460, 1922, 16889, 9756, 7364, 5825, 1424, 7612, 22609, 10479, 1161, 1459, 1134, 25318, 11354, 1459, 1845, 1410, 1200, 3377, 7223, 1306, 6460, 1922, 16889, 106, 1293, 14816, 5450, 2966, 488, 124, 132, 131, 124, 1703, 1306, 6460, 1922, 16889, 5587, 124, 131, 127, 116, 31197, 1149, 1135, 10016, 6427, 1518, 5200, 3545, 1135, 27221, 15005, 8429, 4713, 1137, 1125, 20901, 1875, 1342, 1229, 13826, 1300, 1158, 1165, 1269, 1208, 2056, 13974, 17034, 1186, 488, 124, 132, 130, 128, 2056, 13974, 1125, 1158, 11801, 27250, 1125, 1158, 6545, 1197, 4732, 1118, 2252, 1505, 1128, 1573, 23218, 21266, 1186, 488, 124, 132, 131, 125, 5526, 187, 1435, 1125, 1282, 31383, 18293, 1960, 1875, 1342, 1229, 3175, 7847, 1186, 488, 124, 132, 131, 125, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 1306, 6460, 1922, 16889, 1299, 1318, 1360, 1603, 1230, 14898, 1125, 2262, 488, 125, 124, 1186, 2424, 1313, 1158, 11801, 27250, 3672, 1158, 6545, 1197, 4732, 1118, 2252, 7745, 172, 1179, 1415, 1299, 1601, 1303, 1170, 488, 488, 125, 2584, 488, 124, 132, 130, 128, 1317, 20873, 3202, 1132, 1671, 9434, 2460, 1461, 6307, 1201, 1125, 4861, 1141, 178, 13597, 1186, 2605, 12945, 14340, 1768, 1299, 17034, 1170, 488, 131, 2822, 488, 124, 132, 130, 130, 1167, 3902, 1186, 2424, 1170, 488, 124, 130, 3141, 488, 124, 132, 130, 132, 2290, 1170, 5759, 1160, 1227, 21749, 23197, 14187, 3341, 7747, 8448, 1182, 15826, 2904, 1112, 1197, 4732, 1118, 2252, 15624, 488, 125, 124, 2738, 488, 124, 132, 131, 125, 119, 3042, 3365, 1281, 5428, 1370, 1313, 1170, 4452, 5548, 1197, 4732, 1118, 2252, 1256, 11161, 1170, 4128, 16273, 1160, 1197, 11801, 1918, 2252, 1188, 6284, 31100, 1175, 9298, 1173, 1178, 2333, 1496, 1527, 2985, 4766, 16724, 1511, 1215, 1197, 28775, 12431, 6542, 1536, 5702, 1167, 3945, 4111, 1125, 18323, 179, 2554, 5544, 1222, 18632, 1167, 14664, 3277, 1125, 1158, 5148, 27465, 17323, 4994, 1643, 3453, 25243, 1110, 3902, 6696, 1304, 11075, 1158, 2555, 19978, 19883, 2985, 1215, 1158, 3011, 5159, 1303, 1188, 1318, 12029, 1125, 5125, 488, 127, 1139, 283, 1506, 4495, 1167, 1318, 3247, 1125, 10905, 1232, 1160, 1186, 1408, 1125, 1158, 17598, 1227, 22076, 13649, 1643, 6311, 25243, 1110, 1919, 3134, 1170, 27214, 1188, 10905, 4096, 119, 1177, 2388, 1207, 3000, 1274, 1429, 1188, 6676, 1147, 1636, 1216, 255, 183, 2234, 18726, 2233, 16889, 8135, 6143, 27027, 1300, 1189, 3080, 1996, 14171, 1313, 1158, 1138, 9312, 1125, 26430, 5523, 21158, 121, 1643, 1360, 1603, 1230, 1306, 6460, 1671, 2569, 3297, 10072, 1797, 1207, 19878, 5996, 2576, 2233, 16889, 1110, 4222, 244, 1188, 17721, 2495, 7328, 1594, 1139, 10702, 3277, 1317, 11887, 1227, 488, 125, 126, 2738, 488, 124, 132, 131, 125, 121, 3767, 30047, 488, 125, 125, 4634, 1283, 25502, 1272, 2004, 11708, 1158, 2492, 11488, 1167, 20117, 20544, 11052, 1424, 12253, 1197, 26921, 1125, 1158, 11801, 27250, 17994, 1424, 1424, 1424, 1424, 1306, 6460, 1922, 16889, 9756, 7364, 5825, 1424, 7612, 22609, 10479, 1161, 1459, 1134, 25318, 11354, 1459, 1845, 1410, 1200, 3377, 7223, 1306, 6460, 1922, 16889, 106, 1293, 14816, 5450, 2966, 488, 124, 132, 131, 124, 1703, 1306, 6460, 1922, 16889, 5587, 124, 131, 127, 116, 31197, 1149, 1135, 10016, 6427, 1518, 5200, 3545, 1135, 27221, 15005, 8429, 4713, 1137, 1125, 20901, 1875, 1342, 1229, 13826, 1300, 1158, 1165, 1269, 1208, 2056, 13974, 17034, 1186, 488, 124, 132, 130, 128, 2056, 13974, 1125, 1158, 11801, 27250, 1125, 1158, 6545, 1197, 4732, 1118, 2252, 1505, 1128, 1573, 23218, 21266, 1186, 488, 124, 132, 131, 125, 5526, 187, 1435, 1125, 1282, 31383, 18293, 1960, 1875, 1342, 1229, 3175, 7847, 1186, 488, 124, 132, 131, 125, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 155, 3915, 7480, 1839, 3333, 5623, 190, 1229, 24051, 1188, 3225, 5012, 1220, 1170, 488, 488, 126, 2829, 488, 124, 131, 125, 128, 119, 4541, 1188, 2801, 488, 124, 130, 1170, 488, 488, 124, 128, 2738, 488, 124, 132, 123, 128, 116, 1299, 1189, 18866, 2720, 14231, 30738, 3915, 25455, 3333, 5623, 190, 1229, 2985, 1189, 29139, 1197, 1381, 1109, 2931, 26045, 7519, 1167, 26045, 6604, 1327, 3502, 1653, 488, 124, 131, 128, 125, 119, 1527, 3958, 1123, 1189, 6273, 7993, 5592, 1188, 14481, 12970, 4787, 3213, 18992, 1282, 1258, 29756, 1408, 7959, 1186, 3698, 19005, 119, 1186, 1252, 2621, 1112, 1167, 1186, 21593, 121, 14301, 8744, 1125, 2260, 1331, 2001, 1508, 1158, 7759, 1227, 2658, 21922, 7808, 1960, 1125, 25862, 23672, 1201, 1167, 1197, 20538, 1125, 11742, 2515, 192, 5291, 19593, 1856, 15176, 1197, 8936, 1197, 3293, 1904, 16319, 1215, 4070, 14481, 1439, 8370, 6556, 1527, 6843, 1197, 20538, 6365, 1125, 6721, 1197, 18133, 22012, 1125, 1158, 18404, 1167, 1125, 1158, 20483, 4654, 14301, 5521, 1125, 1158, 22119, 1125, 1158, 7801, 1632, 2004, 1913, 2264, 192, 1473, 1215, 6577, 2486, 1262, 9605, 10837, 1313, 2769, 4043, 5493, 6365, 2335, 7130, 1175, 124, 131, 128, 130, 1576, 1808, 26157, 6843, 190, 1215, 5623, 190, 1229, 2004, 1189, 9507, 16993, 8305, 1357, 2435, 1110, 7545, 9033, 1188, 1594, 18318, 1189, 18866, 1188, 9672, 12258, 28365, 10568, 1317, 21948, 1125, 2801, 1188, 3862, 1125, 488, 124, 131, 128, 123, 1167, 7810, 1178, 1318, 24722, 1125, 21683, 1571, 30955, 1125, 488, 124, 131, 131, 132, 1167, 1125, 488, 124, 132, 123, 123, 121, 1653, 1408, 1125, 1909, 1110, 6551, 183, 5899, 5623, 190, 1229, 1110, 2072, 6843, 1197, 6039, 1785, 1167, 1844, 1197, 4615, 8160, 1867, 6344, 31960, 10977, 1473, 1215, 2435, 2004, 1913, 2976, 1473, 1313, 1197, 20226, 2252, 7706, 1309, 1548, 6453, 1141, 1109, 1113, 2570, 4731, 5161, 1548, 13435, 10956, 2357, 1548, 6745, 1227, 2854, 1167, 1125, 2576, 148, 1669, 14206, 8370, 488, 124, 131, 130, 127, 119, 1527, 2985, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 13076, 12132, 1388, 282, 19760, 19528, 4575, 18634, 1299, 2205, 1147, 7986, 4326, 2232, 22728, 1142, 2077, 10847, 1188, 1645, 2094, 4698, 1153, 1303, 1197, 3032, 1541, 26258, 1634, 21937, 5012, 1220, 1260, 20736, 1148, 1227, 1561, 1203, 185, 1374, 1188, 16604, 197, 30129, 1107, 30220, 2001, 15981, 1260, 7806, 1286, 1125, 1158, 28139, 23976, 1188, 12313, 16361, 106, 1233, 13974, 1125, 12618, 1188, 11374, 14921, 106, 7626, 1142, 2007, 9116, 2636, 2515, 12412, 2094, 1260, 11435, 24258, 1125, 3261, 5022, 1469, 1170, 13337, 1125, 3621, 1142, 1620, 182, 4250, 1224, 1109, 1260, 1352, 1277, 1125, 8579, 1313, 1207, 4092, 488, 124, 131, 129, 123, 106, 25424, 1165, 10646, 31838, 14481, 1439, 3471, 1172, 6995, 1227, 6468, 3781, 1125, 23171, 1404, 1260, 22623, 1128, 1378, 1175, 3732, 1314, 120, 11617, 9333, 1496, 6885, 7205, 8976, 1186, 30726, 4134, 1215, 19120, 2244, 1374, 1188, 2801, 3471, 1815, 121, 1616, 121, 1718, 20634, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 3293, 26077, 13002, 1343, 1112, 2720, 1227, 26851, 6298, 2902, 1669, 3692, 1793, 2720, 1227, 26851, 6298, 8156, 1186, 2829, 488, 124, 131, 125, 128, 8156, 1188, 3225, 5012, 1220, 9317, 1313, 1170, 488, 124, 130, 176, 28077, 1125, 2801, 9317, 1186, 2738, 488, 124, 132, 123, 128, 9317, 1188, 488, 131, 123, 2165, 32001, 1424, 32000, 20036, 1566, 3915, 7480, 1839, 3333, 5623, 190, 1229, 24051, 1188, 3225, 5012, 1220, 1170, 488, 488, 126, 2829, 488, 124, 131, 125, 128, 119, 4541, 1188, 2801, 488, 124, 130, 1170, 488, 488, 124, 128, 2738, 488, 124, 132, 123, 128, 116, 1299, 1189, 18866, 2720, 14231, 30738, 3915, 25455, 3333, 5623, 190, 1229, 2985, 1189, 29139, 1197, 1381, 1109, 2931, 26045, 7519, 1167, 26045, 6604, 1327, 3502, 1653, 488, 124, 131, 128, 125, 119, 1527, 3958, 1123, 1189, 6273, 7993, 5592, 1188, 14481, 12970, 4787, 3213, 18992, 1282, 1258, 29756, 1408, 7959, 1186, 3698, 19005, 119, 1186, 1252, 2621, 1112, 1167, 1186, 21593, 121, 14301, 8744, 1125, 2260, 1331, 2001, 1508, 1158, 7759, 1227, 2658, 21922, 7808, 1960, 1125, 25862, 23672, 1201, 1167, 1197, 20538, 1125, 11742, 2515, 192, 5291, 19593, 1856, 15176, 1197, 8936, 1197, 3293, 1904, 16319, 1215, 4070, 14481, 1439, 8370, 6556, 1527, 6843, 1197, 20538, 6365, 1125, 6721, 1197, 18133, 22012, 1125, 1158, 18404, 1167, 1125, 1158, 20483, 4654, 14301, 5521, 1125, 1158, 22119, 1125, 1158, 7801, 1632, 2004, 1913, 2264, 192, 1473, 1215, 6577, 2486, 1262, 9605, 10837, 1313, 2769, 4043, 5493, 6365, 2335, 7130, 1175, 124, 131, 128, 130, 1576, 1808, 26157, 6843, 190, 1215, 5623, 190, 1229, 2004, 1189, 9507, 16993, 8305, 1357, 2435, 1110, 7545, 9033, 1188, 1594, 18318, 1189, 18866, 1188, 9672, 12258, 28365, 10568, 1317, 21948, 1125, 2801, 1188, 3862, 1125, 488, 124, 131, 128, 123, 1167, 7810, 1178, 1318, 24722, 1125, 21683, 1571, 30955, 1125, 488, 124, 131, 131, 132, 1167, 1125, 488, 124, 132, 123, 123, 121, 1653, 1408, 1125, 1909, 1110, 6551, 183, 5899, 5623, 190, 1229, 1110, 2072, 6843, 1197, 6039, 1785, 1167, 1844, 1197, 4615, 8160, 1867, 6344, 31960, 10977, 1473, 1215, 2435, 2004, 1913, 2976, 1473, 1313, 1197, 20226, 2252, 7706, 1309, 1548, 6453, 1141, 1109, 1113, 2570, 4731, 5161, 1548, 13435, 10956, 2357, 1548, 6745, 1227, 2854, 1167, 1125, 2576, 148, 1669, 14206, 8370, 488, 124, 131, 130, 127, 119, 1527, 2985, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 13076, 12132, 1388, 282, 19760, 19528, 4575, 18634, 1299, 2205, 1147, 7986, 4326, 2232, 22728, 1142, 2077, 10847, 1188, 1645, 2094, 4698, 1153, 1303, 1197, 3032, 1541, 26258, 1634, 21937, 5012, 1220, 1260, 20736, 1148, 1227, 1561, 1203, 185, 1374, 1188, 16604, 197, 30129, 1107, 30220, 2001, 15981, 1260, 7806, 1286, 1125, 1158, 28139, 23976, 1188, 12313, 16361, 106, 1233, 13974, 1125, 12618, 1188, 11374, 14921, 106, 7626, 1142, 2007, 9116, 2636, 2515, 12412, 2094, 1260, 11435, 24258, 1125, 3261, 5022, 1469, 1170, 13337, 1125, 3621, 1142, 1620, 182, 4250, 1224, 1109, 1260, 1352, 1277, 1125, 8579, 1313, 1207, 4092, 488, 124, 131, 129, 123, 106, 25424, 1165, 10646, 31838, 14481, 1439, 3471, 1172, 6995, 1227, 6468, 3781, 1125, 23171, 1404, 1260, 22623, 1128, 1378, 1175, 3732, 1314, 120, 11617, 9333, 1496, 6885, 7205, 8976, 1186, 30726, 4134, 1215, 19120, 2244, 1374, 1188, 2801, 3471, 1815, 121, 1616, 121, 1718, 20634, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 3293, 26077, 13002, 1343, 1112, 2720, 1227, 26851, 6298, 2902, 1669, 3692, 1793, 2720, 1227, 26851, 6298, 8156, 1186, 2829, 488, 124, 131, 125, 128, 8156, 1188, 3225, 5012, 1220, 9317, 1313, 1170, 488, 124, 130, 176, 28077, 1125, 2801, 9317, 1186, 2738, 488, 124, 132, 123, 128, 9317, 1188, 488, 131, 123, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1566, 3915, 7480, 1839, 3333, 5623, 190, 1229, 24051, 1188, 3225, 5012, 1220, 1170, 488, 488, 126, 2829, 488, 124, 131, 125, 128, 119, 4541, 1188, 2801, 488, 124, 130, 1170, 488, 488, 124, 128, 2738, 488, 124, 132, 123, 128, 116, 1299, 1189, 18866, 2720, 14231, 30738, 3915, 25455, 3333, 5623, 190, 1229, 2985, 1189, 29139, 1197, 1381, 1109, 2931, 26045, 7519, 1167, 26045, 6604, 1327, 3502, 1653, 488, 124, 131, 128, 125, 119, 1527, 3958, 1123, 1189, 6273, 7993, 5592, 1188, 14481, 12970, 4787, 3213, 18992, 1282, 1258, 29756, 1408, 7959, 1186, 3698, 19005, 119, 1186, 1252, 2621, 1112, 1167, 1186, 21593, 121, 14301, 8744, 1125, 2260, 1331, 2001, 1508, 1158, 7759, 1227, 2658, 21922, 7808, 1960, 1125, 25862, 23672, 1201, 1167, 1197, 20538, 1125, 11742, 2515, 192, 5291, 19593, 1856, 15176, 1197, 8936, 1197, 3293, 1904, 16319, 1215, 4070, 14481, 1439, 8370, 6556, 1527, 6843, 1197, 20538, 6365, 1125, 6721, 1197, 18133, 22012, 1125, 1158, 18404, 1167, 1125, 1158, 20483, 4654, 14301, 5521, 1125, 1158, 22119, 1125, 1158, 7801, 1632, 2004, 1913, 2264, 192, 1473, 1215, 6577, 2486, 1262, 9605, 10837, 1313, 2769, 4043, 5493, 6365, 2335, 7130, 1175, 124, 131, 128, 130, 1576, 1808, 26157, 6843, 190, 1215, 5623, 190, 1229, 2004, 1189, 9507, 16993, 8305, 1357, 2435, 1110, 7545, 9033, 1188, 1594, 18318, 1189, 18866, 1188, 9672, 12258, 28365, 10568, 1317, 21948, 1125, 2801, 1188, 3862, 1125, 488, 124, 131, 128, 123, 1167, 7810, 1178, 1318, 24722, 1125, 21683, 1571, 30955, 1125, 488, 124, 131, 131, 132, 1167, 1125, 488, 124, 132, 123, 123, 121, 1653, 1408, 1125, 1909, 1110, 6551, 183, 5899, 5623, 190, 1229, 1110, 2072, 6843, 1197, 6039, 1785, 1167, 1844, 1197, 4615, 8160, 1867, 6344, 31960, 10977, 1473, 1215, 2435, 2004, 1913, 2976, 1473, 1313, 1197, 20226, 2252, 7706, 1309, 1548, 6453, 1141, 1109, 1113, 2570, 4731, 5161, 1548, 13435, 10956, 2357, 1548, 6745, 1227, 2854, 1167, 1125, 2576, 148, 1669, 14206, 8370, 488, 124, 131, 130, 127, 119, 1527, 2985, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 13076, 12132, 1388, 282, 19760, 19528, 4575, 18634, 1299, 2205, 1147, 7986, 4326, 2232, 22728, 1142, 2077, 10847, 1188, 1645, 2094, 4698, 1153, 1303, 1197, 3032, 1541, 26258, 1634, 21937, 5012, 1220, 1260, 20736, 1148, 1227, 1561, 1203, 185, 1374, 1188, 16604, 197, 30129, 1107, 30220, 2001, 15981, 1260, 7806, 1286, 1125, 1158, 28139, 23976, 1188, 12313, 16361, 106, 1233, 13974, 1125, 12618, 1188, 11374, 14921, 106, 7626, 1142, 2007, 9116, 2636, 2515, 12412, 2094, 1260, 11435, 24258, 1125, 3261, 5022, 1469, 1170, 13337, 1125, 3621, 1142, 1620, 182, 4250, 1224, 1109, 1260, 1352, 1277, 1125, 8579, 1313, 1207, 4092, 488, 124, 131, 129, 123, 106, 25424, 1165, 10646, 31838, 14481, 1439, 3471, 1172, 6995, 1227, 6468, 3781, 1125, 23171, 1404, 1260, 22623, 1128, 1378, 1175, 3732, 1314, 120, 11617, 9333, 1496, 6885, 7205, 8976, 1186, 30726, 4134, 1215, 19120, 2244, 1374, 1188, 2801, 3471, 1815, 121, 1616, 121, 1718, 20634, 1167, 16828, 5825, 2093, 15884, 1343, 1112, 3293, 26077, 13002, 1343, 1112, 2720, 1227, 26851, 6298, 2902, 1669, 3692, 1793, 2720, 1227, 26851, 6298, 8156, 1186, 2829, 488, 124, 131, 125, 128, 8156, 1188, 3225, 5012, 1220, 9317, 1313, 1170, 488, 124, 130, 176, 28077, 1125, 2801, 9317, 1186, 2738, 488, 124, 132, 123, 128, 9317, 1188, 488, 131, 123, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 155, 3915, 20190, 9776, 1265, 1175, 124, 131, 129, 124, 120, 124, 132, 128, 124, 116, 1299, 1189, 6513, 17266, 2720, 1227, 6485, 1125, 5753, 5882, 4355, 1357, 1110, 15974, 1167, 15519, 1170, 3274, 2576, 224, 6206, 1214, 21845, 14231, 1424, 153, 244, 1170, 488, 125, 125, 3201, 488, 124, 131, 129, 124, 1188, 2576, 2233, 3576, 3476, 4813, 1227, 24135, 1167, 1125, 1158, 3734, 24135, 20155, 1346, 6780, 20190, 9776, 1265, 1299, 1170, 8658, 2335, 3419, 6780, 20190, 9776, 8255, 1166, 1660, 23399, 1188, 26012, 3576, 1126, 1167, 1177, 1655, 1657, 6280, 1127, 6909, 2623, 5269, 2757, 488, 124, 131, 130, 124, 119, 1281, 8807, 1575, 1469, 2605, 11150, 21965, 1200, 10646, 7552, 2136, 1197, 8787, 1125, 3090, 1357, 4128, 6559, 1129, 1300, 1158, 5418, 4377, 1527, 20293, 1189, 13078, 13335, 27027, 1188, 11276, 1186, 488, 124, 131, 132, 124, 1167, 16722, 5999, 2165, 1408, 7959, 27138, 120, 27941, 13612, 1292, 8012, 5921, 1125, 6976, 1375, 9395, 1469, 1357, 1527, 1110, 2069, 4661, 12258, 12459, 1125, 1281, 14675, 1313, 1207, 10934, 1188, 9569, 488, 127, 123, 2165, 1856, 19442, 1125, 5031, 9238, 1167, 9503, 1125, 19896, 2850, 1285, 1186, 488, 124, 132, 123, 129, 119, 1317, 3013, 1125, 1158, 28453, 1125, 2576, 224, 6206, 1214, 6076, 7615, 2487, 1527, 12391, 6113, 1197, 2069, 7790, 6969, 1125, 4052, 1167, 1125, 6847, 7993, 13181, 2567, 1158, 3624, 4521, 1167, 1158, 5735, 24334, 13181, 1125, 12350, 3559, 1367, 1129, 2100, 4987, 8138, 1430, 7366, 2457, 2072, 1906, 3712, 3881, 20739, 1460, 1309, 1170, 9036, 3725, 1158, 4052, 1309, 1170, 5192, 121, 1548, 3274, 9776, 1265, 1501, 1210, 4326, 488, 129, 124, 9628, 1186, 488, 127, 123, 5305, 1357, 2435, 1713, 1129, 1207, 1300, 185, 10599, 1125, 1606, 27396, 1227, 9919, 1246, 2251, 3133, 1606, 18163, 4889, 1571, 10600, 1270, 28669, 3133, 1362, 2743, 1606, 1170, 11330, 180, 1379, 1369, 4821, 1222, 13401, 2993, 244, 2320, 18121, 174, 1157, 1188, 29658, 12456, 1125, 1158, 2593, 1231, 6111, 12132, 1527, 1110, 2072, 5285, 244, 1158, 2321, 1125, 16487, 1125, 1233, 3622, 2114, 1186, 18141, 8687, 9420, 22631, 30738, 2388, 1282, 9848, 2071, 1527, 8137, 1158, 9670, 31136, 19888, 2076, 1188, 1561, 6454, 1189, 1754, 1272, 1125, 1909, 20672, 13962, 1125, 7163, 3847, 1653, 488, 124, 132, 127, 131, 119, 1527, 1299, 1895, 7434, 8001, 1188, 488, 131, 130, 5305, 2648, 21801, 2335, 2081, 2992, 31727, 2750, 21116, 1317, 2168, 1234, 1121, 1721, 2519, 8126, 10260, 6744, 1125, 488, 128, 123, 123, 5743, 1125, 30403, 27404, 1594, 1805, 8566, 1300, 8317, 1188, 2801, 1170, 488, 124, 131, 2921, 488, 124, 132, 128, 124, 119, 1158, 4813, 1125, 2576, 2233, 3576, 1126, 23166, 1286, 1125, 1158, 8126, 1125, 488, 125, 128, 123, 5743, 1125, 7962, 1285, 1170, 7077, 1125, 10721, 1533, 1125, 1158, 3945, 10062, 6218, 15722, 3482, 3174, 4173, 1276, 1819, 2035, 1762, 19778, 1188, 12547, 10070, 3202, 1366, 1125, 3261, 7965, 2985, 16487, 1304, 15784, 1916, 1104, 1167, 4637, 1227, 5809, 4610, 1125, 18141, 8687, 9081, 1439, 11488, 1167, 16828, 5825, 2093, 147, 4889, 26298, 2720, 8156, 1186, 3201, 488, 124, 131, 129, 124, 8156, 1188, 2576, 2233, 3576, 1126, 9317, 1186, 2921, 488, 124, 132, 128, 124, 9317, 1313, 1170, 488, 131, 176, 28077, 1125, 2801, 9317, 1188, 488, 131, 132, 2165, 32001, 1424, 32000, 20036, 1566, 3915, 20190, 9776, 1265, 1175, 124, 131, 129, 124, 120, 124, 132, 128, 124, 116, 1299, 1189, 6513, 17266, 2720, 1227, 6485, 1125, 5753, 5882, 4355, 1357, 1110, 15974, 1167, 15519, 1170, 3274, 2576, 224, 6206, 1214, 21845, 14231, 1424, 153, 244, 1170, 488, 125, 125, 3201, 488, 124, 131, 129, 124, 1188, 2576, 2233, 3576, 3476, 4813, 1227, 24135, 1167, 1125, 1158, 3734, 24135, 20155, 1346, 6780, 20190, 9776, 1265, 1299, 1170, 8658, 2335, 3419, 6780, 20190, 9776, 8255, 1166, 1660, 23399, 1188, 26012, 3576, 1126, 1167, 1177, 1655, 1657, 6280, 1127, 6909, 2623, 5269, 2757, 488, 124, 131, 130, 124, 119, 1281, 8807, 1575, 1469, 2605, 11150, 21965, 1200, 10646, 7552, 2136, 1197, 8787, 1125, 3090, 1357, 4128, 6559, 1129, 1300, 1158, 5418, 4377, 1527, 20293, 1189, 13078, 13335, 27027, 1188, 11276, 1186, 488, 124, 131, 132, 124, 1167, 16722, 5999, 2165, 1408, 7959, 27138, 120, 27941, 13612, 1292, 8012, 5921, 1125, 6976, 1375, 9395, 1469, 1357, 1527, 1110, 2069, 4661, 12258, 12459, 1125, 1281, 14675, 1313, 1207, 10934, 1188, 9569, 488, 127, 123, 2165, 1856, 19442, 1125, 5031, 9238, 1167, 9503, 1125, 19896, 2850, 1285, 1186, 488, 124, 132, 123, 129, 119, 1317, 3013, 1125, 1158, 28453, 1125, 2576, 224, 6206, 1214, 6076, 7615, 2487, 1527, 12391, 6113, 1197, 2069, 7790, 6969, 1125, 4052, 1167, 1125, 6847, 7993, 13181, 2567, 1158, 3624, 4521, 1167, 1158, 5735, 24334, 13181, 1125, 12350, 3559, 1367, 1129, 2100, 4987, 8138, 1430, 7366, 2457, 2072, 1906, 3712, 3881, 20739, 1460, 1309, 1170, 9036, 3725, 1158, 4052, 1309, 1170, 5192, 121, 1548, 3274, 9776, 1265, 1501, 1210, 4326, 488, 129, 124, 9628, 1186, 488, 127, 123, 5305, 1357, 2435, 1713, 1129, 1207, 1300, 185, 10599, 1125, 1606, 27396, 1227, 9919, 1246, 2251, 3133, 1606, 18163, 4889, 1571, 10600, 1270, 28669, 3133, 1362, 2743, 1606, 1170, 11330, 180, 1379, 1369, 4821, 1222, 13401, 2993, 244, 2320, 18121, 174, 1157, 1188, 29658, 12456, 1125, 1158, 2593, 1231, 6111, 12132, 1527, 1110, 2072, 5285, 244, 1158, 2321, 1125, 16487, 1125, 1233, 3622, 2114, 1186, 18141, 8687, 9420, 22631, 30738, 2388, 1282, 9848, 2071, 1527, 8137, 1158, 9670, 31136, 19888, 2076, 1188, 1561, 6454, 1189, 1754, 1272, 1125, 1909, 20672, 13962, 1125, 7163, 3847, 1653, 488, 124, 132, 127, 131, 119, 1527, 1299, 1895, 7434, 8001, 1188, 488, 131, 130, 5305, 2648, 21801, 2335, 2081, 2992, 31727, 2750, 21116, 1317, 2168, 1234, 1121, 1721, 2519, 8126, 10260, 6744, 1125, 488, 128, 123, 123, 5743, 1125, 30403, 27404, 1594, 1805, 8566, 1300, 8317, 1188, 2801, 1170, 488, 124, 131, 2921, 488, 124, 132, 128, 124, 119, 1158, 4813, 1125, 2576, 2233, 3576, 1126, 23166, 1286, 1125, 1158, 8126, 1125, 488, 125, 128, 123, 5743, 1125, 7962, 1285, 1170, 7077, 1125, 10721, 1533, 1125, 1158, 3945, 10062, 6218, 15722, 3482, 3174, 4173, 1276, 1819, 2035, 1762, 19778, 1188, 12547, 10070, 3202, 1366, 1125, 3261, 7965, 2985, 16487, 1304, 15784, 1916, 1104, 1167, 4637, 1227, 5809, 4610, 1125, 18141, 8687, 9081, 1439, 11488, 1167, 16828, 5825, 2093, 147, 4889, 26298, 2720, 8156, 1186, 3201, 488, 124, 131, 129, 124, 8156, 1188, 2576, 2233, 3576, 1126, 9317, 1186, 2921, 488, 124, 132, 128, 124, 9317, 1313, 1170, 488, 131, 176, 28077, 1125, 2801, 9317, 1188, 488, 131, 132, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1566, 3915, 20190, 9776, 1265, 1175, 124, 131, 129, 124, 120, 124, 132, 128, 124, 116, 1299, 1189, 6513, 17266, 2720, 1227, 6485, 1125, 5753, 5882, 4355, 1357, 1110, 15974, 1167, 15519, 1170, 3274, 2576, 224, 6206, 1214, 21845, 14231, 1424, 153, 244, 1170, 488, 125, 125, 3201, 488, 124, 131, 129, 124, 1188, 2576, 2233, 3576, 3476, 4813, 1227, 24135, 1167, 1125, 1158, 3734, 24135, 20155, 1346, 6780, 20190, 9776, 1265, 1299, 1170, 8658, 2335, 3419, 6780, 20190, 9776, 8255, 1166, 1660, 23399, 1188, 26012, 3576, 1126, 1167, 1177, 1655, 1657, 6280, 1127, 6909, 2623, 5269, 2757, 488, 124, 131, 130, 124, 119, 1281, 8807, 1575, 1469, 2605, 11150, 21965, 1200, 10646, 7552, 2136, 1197, 8787, 1125, 3090, 1357, 4128, 6559, 1129, 1300, 1158, 5418, 4377, 1527, 20293, 1189, 13078, 13335, 27027, 1188, 11276, 1186, 488, 124, 131, 132, 124, 1167, 16722, 5999, 2165, 1408, 7959, 27138, 120, 27941, 13612, 1292, 8012, 5921, 1125, 6976, 1375, 9395, 1469, 1357, 1527, 1110, 2069, 4661, 12258, 12459, 1125, 1281, 14675, 1313, 1207, 10934, 1188, 9569, 488, 127, 123, 2165, 1856, 19442, 1125, 5031, 9238, 1167, 9503, 1125, 19896, 2850, 1285, 1186, 488, 124, 132, 123, 129, 119, 1317, 3013, 1125, 1158, 28453, 1125, 2576, 224, 6206, 1214, 6076, 7615, 2487, 1527, 12391, 6113, 1197, 2069, 7790, 6969, 1125, 4052, 1167, 1125, 6847, 7993, 13181, 2567, 1158, 3624, 4521, 1167, 1158, 5735, 24334, 13181, 1125, 12350, 3559, 1367, 1129, 2100, 4987, 8138, 1430, 7366, 2457, 2072, 1906, 3712, 3881, 20739, 1460, 1309, 1170, 9036, 3725, 1158, 4052, 1309, 1170, 5192, 121, 1548, 3274, 9776, 1265, 1501, 1210, 4326, 488, 129, 124, 9628, 1186, 488, 127, 123, 5305, 1357, 2435, 1713, 1129, 1207, 1300, 185, 10599, 1125, 1606, 27396, 1227, 9919, 1246, 2251, 3133, 1606, 18163, 4889, 1571, 10600, 1270, 28669, 3133, 1362, 2743, 1606, 1170, 11330, 180, 1379, 1369, 4821, 1222, 13401, 2993, 244, 2320, 18121, 174, 1157, 1188, 29658, 12456, 1125, 1158, 2593, 1231, 6111, 12132, 1527, 1110, 2072, 5285, 244, 1158, 2321, 1125, 16487, 1125, 1233, 3622, 2114, 1186, 18141, 8687, 9420, 22631, 30738, 2388, 1282, 9848, 2071, 1527, 8137, 1158, 9670, 31136, 19888, 2076, 1188, 1561, 6454, 1189, 1754, 1272, 1125, 1909, 20672, 13962, 1125, 7163, 3847, 1653, 488, 124, 132, 127, 131, 119, 1527, 1299, 1895, 7434, 8001, 1188, 488, 131, 130, 5305, 2648, 21801, 2335, 2081, 2992, 31727, 2750, 21116, 1317, 2168, 1234, 1121, 1721, 2519, 8126, 10260, 6744, 1125, 488, 128, 123, 123, 5743, 1125, 30403, 27404, 1594, 1805, 8566, 1300, 8317, 1188, 2801, 1170, 488, 124, 131, 2921, 488, 124, 132, 128, 124, 119, 1158, 4813, 1125, 2576, 2233, 3576, 1126, 23166, 1286, 1125, 1158, 8126, 1125, 488, 125, 128, 123, 5743, 1125, 7962, 1285, 1170, 7077, 1125, 10721, 1533, 1125, 1158, 3945, 10062, 6218, 15722, 3482, 3174, 4173, 1276, 1819, 2035, 1762, 19778, 1188, 12547, 10070, 3202, 1366, 1125, 3261, 7965, 2985, 16487, 1304, 15784, 1916, 1104, 1167, 4637, 1227, 5809, 4610, 1125, 18141, 8687, 9081, 1439, 11488, 1167, 16828, 5825, 2093, 147, 4889, 26298, 2720, 8156, 1186, 3201, 488, 124, 131, 129, 124, 8156, 1188, 2576, 2233, 3576, 1126, 9317, 1186, 2921, 488, 124, 132, 128, 124, 9317, 1313, 1170, 488, 131, 176, 28077, 1125, 2801, 9317, 1188, 488, 131, 132, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 26328, 1121, 10520, 186, 5371, 1935, 184, 2433, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 132, 128, 1188, 20169, 174, 2086, 1299, 1189, 2077, 9721, 1125, 3080, 17779, 18922, 1186, 23583, 5342, 185, 2241, 1768, 1299, 14045, 22572, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 1167, 14045, 1304, 20270, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 14231, 26328, 1121, 10520, 186, 5371, 1935, 3679, 1139, 6146, 1188, 20169, 6271, 1167, 2511, 1123, 1313, 1158, 4813, 8918, 1314, 1125, 18196, 11113, 3981, 1200, 1662, 2181, 1768, 5854, 8425, 2916, 7542, 1561, 12614, 1313, 1170, 5878, 3288, 1190, 4688, 180, 1204, 5243, 3276, 5043, 180, 1469, 10958, 1632, 14921, 28937, 7847, 1856, 23541, 9357, 8673, 1309, 15112, 1856, 2969, 1567, 4819, 1527, 1288, 9342, 1382, 11826, 1313, 1440, 6436, 3365, 11051, 1767, 1188, 19910, 1125, 1281, 2075, 8793, 1768, 12459, 1125, 1281, 1892, 14863, 1300, 1158, 4235, 1188, 6844, 3365, 5854, 1856, 8946, 2500, 121, 30393, 1909, 8946, 7260, 1469, 1170, 5878, 13335, 1187, 2114, 1527, 13300, 10568, 1188, 1158, 4235, 1125, 16489, 17561, 3382, 5445, 1221, 1839, 2504, 3985, 1120, 2036, 1768, 16773, 6349, 1170, 5878, 7783, 143, 28503, 13854, 2172, 20169, 174, 2086, 18922, 1313, 1207, 10617, 1125, 16489, 1167, 19619, 1158, 22158, 1227, 23583, 5342, 185, 2241, 1768, 3175, 4699, 1189, 11287, 1313, 1816, 22158, 1186, 18241, 1199, 3747, 1170, 11684, 1442, 186, 1518, 124, 130, 1186, 488, 125, 123, 124, 132, 8370, 2921, 488, 125, 123, 125, 125, 119, 1527, 2698, 1314, 1158, 6780, 1204, 1129, 172, 1913, 1469, 8415, 172, 6291, 1202, 4782, 1167, 29779, 1679, 24456, 2537, 1186, 18241, 1199, 1207, 3203, 13895, 8155, 488, 124, 125, 2875, 488, 125, 123, 125, 126, 119, 1527, 2368, 1819, 1336, 1300, 1158, 24264, 2397, 17339, 1231, 18323, 157, 19650, 6036, 1199, 1856, 29283, 1125, 18323, 157, 1431, 1197, 4322, 19754, 1304, 20270, 1125, 23583, 5342, 185, 2241, 1768, 18532, 1318, 22880, 4235, 1167, 20235, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1768, 1299, 1971, 1452, 244, 1125, 1408, 1125, 7762, 4826, 1215, 22120, 1187, 6453, 14210, 1723, 1440, 4755, 2551, 17983, 1382, 11833, 3649, 1188, 1158, 1252, 2058, 182, 1762, 1170, 3694, 1125, 14045, 1304, 20270, 1125, 1158, 4309, 1348, 14065, 1188, 15814, 10520, 186, 5371, 1935, 184, 3266, 1548, 488, 125, 128, 2822, 488, 125, 123, 125, 126, 119, 1527, 1281, 5509, 1188, 1318, 16535, 1714, 6407, 1186, 6425, 1227, 11684, 1442, 186, 18323, 24338, 1495, 2114, 1469, 1293, 2323, 183, 1308, 172, 17595, 2323, 2086, 1173, 2683, 2504, 9901, 1132, 1331, 1167, 7546, 21352, 1293, 2323, 1172, 2036, 1808, 5999, 6626, 1288, 21275, 16544, 5025, 1723, 15814, 10520, 186, 5371, 1935, 3679, 30957, 12048, 1188, 1878, 12402, 1158, 14789, 1256, 14756, 21545, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1548, 488, 126, 2578, 488, 125, 123, 125, 126, 119, 1527, 5909, 1170, 7882, 1125, 10399, 15640, 1125, 18323, 157, 1431, 1571, 4322, 19754, 22572, 1125, 23583, 5342, 3161, 1188, 1293, 1153, 1109, 181, 2596, 1768, 4715, 1313, 1189, 3151, 2658, 1170, 3509, 1740, 1517, 8991, 1266, 1142, 1722, 1105, 2368, 1320, 24517, 1197, 16767, 1125, 1158, 4235, 2567, 1309, 1440, 4755, 1288, 1115, 4567, 1170, 6844, 121, 15814, 10520, 186, 5371, 1935, 3679, 1186, 27565, 1256, 19829, 1158, 6425, 1125, 4235, 1167, 2368, 3309, 1731, 2079, 1170, 3694, 8732, 26361, 1194, 6090, 8799, 9323, 1167, 16828, 5825, 29496, 1186, 3201, 488, 124, 132, 132, 128, 8156, 1188, 20169, 6271, 1505, 7192, 1136, 1125, 3080, 17779, 4196, 1916, 1231, 22572, 1125, 23583, 5342, 3161, 32001, 1424, 32000, 20036, 1489, 1121, 10520, 186, 5371, 1935, 184, 2433, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 132, 128, 1188, 20169, 174, 2086, 1299, 1189, 2077, 9721, 1125, 3080, 17779, 18922, 1186, 23583, 5342, 185, 2241, 1768, 1299, 14045, 22572, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 1167, 14045, 1304, 20270, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 14231, 26328, 1121, 10520, 186, 5371, 1935, 3679, 1139, 6146, 1188, 20169, 6271, 1167, 2511, 1123, 1313, 1158, 4813, 8918, 1314, 1125, 18196, 11113, 3981, 1200, 1662, 2181, 1768, 5854, 8425, 2916, 7542, 1561, 12614, 1313, 1170, 5878, 3288, 1190, 4688, 180, 1204, 5243, 3276, 5043, 180, 1469, 10958, 1632, 14921, 28937, 7847, 1856, 23541, 9357, 8673, 1309, 15112, 1856, 2969, 1567, 4819, 1527, 1288, 9342, 1382, 11826, 1313, 1440, 6436, 3365, 11051, 1767, 1188, 19910, 1125, 1281, 2075, 8793, 1768, 12459, 1125, 1281, 1892, 14863, 1300, 1158, 4235, 1188, 6844, 3365, 5854, 1856, 8946, 2500, 121, 30393, 1909, 8946, 7260, 1469, 1170, 5878, 13335, 1187, 2114, 1527, 13300, 10568, 1188, 1158, 4235, 1125, 16489, 17561, 3382, 5445, 1221, 1839, 2504, 3985, 1120, 2036, 1768, 16773, 6349, 1170, 5878, 7783, 143, 28503, 13854, 2172, 20169, 174, 2086, 18922, 1313, 1207, 10617, 1125, 16489, 1167, 19619, 1158, 22158, 1227, 23583, 5342, 185, 2241, 1768, 3175, 4699, 1189, 11287, 1313, 1816, 22158, 1186, 18241, 1199, 3747, 1170, 11684, 1442, 186, 1518, 124, 130, 1186, 488, 125, 123, 124, 132, 8370, 2921, 488, 125, 123, 125, 125, 119, 1527, 2698, 1314, 1158, 6780, 1204, 1129, 172, 1913, 1469, 8415, 172, 6291, 1202, 4782, 1167, 29779, 1679, 24456, 2537, 1186, 18241, 1199, 1207, 3203, 13895, 8155, 488, 124, 125, 2875, 488, 125, 123, 125, 126, 119, 1527, 2368, 1819, 1336, 1300, 1158, 24264, 2397, 17339, 1231, 18323, 157, 19650, 6036, 1199, 1856, 29283, 1125, 18323, 157, 1431, 1197, 4322, 19754, 1304, 20270, 1125, 23583, 5342, 185, 2241, 1768, 18532, 1318, 22880, 4235, 1167, 20235, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1768, 1299, 1971, 1452, 244, 1125, 1408, 1125, 7762, 4826, 1215, 22120, 1187, 6453, 14210, 1723, 1440, 4755, 2551, 17983, 1382, 11833, 3649, 1188, 1158, 1252, 2058, 182, 1762, 1170, 3694, 1125, 14045, 1304, 20270, 1125, 1158, 4309, 1348, 14065, 1188, 15814, 10520, 186, 5371, 1935, 184, 3266, 1548, 488, 125, 128, 2822, 488, 125, 123, 125, 126, 119, 1527, 1281, 5509, 1188, 1318, 16535, 1714, 6407, 1186, 6425, 1227, 11684, 1442, 186, 18323, 24338, 1495, 2114, 1469, 1293, 2323, 183, 1308, 172, 17595, 2323, 2086, 1173, 2683, 2504, 9901, 1132, 1331, 1167, 7546, 21352, 1293, 2323, 1172, 2036, 1808, 5999, 6626, 1288, 21275, 16544, 5025, 1723, 15814, 10520, 186, 5371, 1935, 3679, 30957, 12048, 1188, 1878, 12402, 1158, 14789, 1256, 14756, 21545, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1548, 488, 126, 2578, 488, 125, 123, 125, 126, 119, 1527, 5909, 1170, 7882, 1125, 10399, 15640, 1125, 18323, 157, 1431, 1571, 4322, 19754, 22572, 1125, 23583, 5342, 3161, 1188, 1293, 1153, 1109, 181, 2596, 1768, 4715, 1313, 1189, 3151, 2658, 1170, 3509, 1740, 1517, 8991, 1266, 1142, 1722, 1105, 2368, 1320, 24517, 1197, 16767, 1125, 1158, 4235, 2567, 1309, 1440, 4755, 1288, 1115, 4567, 1170, 6844, 121, 15814, 10520, 186, 5371, 1935, 3679, 1186, 27565, 1256, 19829, 1158, 6425, 1125, 4235, 1167, 2368, 3309, 1731, 2079, 1170, 3694, 8732, 26361, 1194, 6090, 8799, 9323, 1167, 16828, 5825, 29496, 1186, 3201, 488, 124, 132, 132, 128, 8156, 1188, 20169, 6271, 1505, 7192, 1136, 1125, 3080, 17779, 4196, 1916, 1231, 22572, 1125, 23583, 5342, 3161, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1489, 1121, 10520, 186, 5371, 1935, 184, 2433, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 132, 128, 1188, 20169, 174, 2086, 1299, 1189, 2077, 9721, 1125, 3080, 17779, 18922, 1186, 23583, 5342, 185, 2241, 1768, 1299, 14045, 22572, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 1167, 14045, 1304, 20270, 1125, 18323, 157, 1431, 488, 125, 123, 125, 126, 14231, 26328, 1121, 10520, 186, 5371, 1935, 3679, 1139, 6146, 1188, 20169, 6271, 1167, 2511, 1123, 1313, 1158, 4813, 8918, 1314, 1125, 18196, 11113, 3981, 1200, 1662, 2181, 1768, 5854, 8425, 2916, 7542, 1561, 12614, 1313, 1170, 5878, 3288, 1190, 4688, 180, 1204, 5243, 3276, 5043, 180, 1469, 10958, 1632, 14921, 28937, 7847, 1856, 23541, 9357, 8673, 1309, 15112, 1856, 2969, 1567, 4819, 1527, 1288, 9342, 1382, 11826, 1313, 1440, 6436, 3365, 11051, 1767, 1188, 19910, 1125, 1281, 2075, 8793, 1768, 12459, 1125, 1281, 1892, 14863, 1300, 1158, 4235, 1188, 6844, 3365, 5854, 1856, 8946, 2500, 121, 30393, 1909, 8946, 7260, 1469, 1170, 5878, 13335, 1187, 2114, 1527, 13300, 10568, 1188, 1158, 4235, 1125, 16489, 17561, 3382, 5445, 1221, 1839, 2504, 3985, 1120, 2036, 1768, 16773, 6349, 1170, 5878, 7783, 143, 28503, 13854, 2172, 20169, 174, 2086, 18922, 1313, 1207, 10617, 1125, 16489, 1167, 19619, 1158, 22158, 1227, 23583, 5342, 185, 2241, 1768, 3175, 4699, 1189, 11287, 1313, 1816, 22158, 1186, 18241, 1199, 3747, 1170, 11684, 1442, 186, 1518, 124, 130, 1186, 488, 125, 123, 124, 132, 8370, 2921, 488, 125, 123, 125, 125, 119, 1527, 2698, 1314, 1158, 6780, 1204, 1129, 172, 1913, 1469, 8415, 172, 6291, 1202, 4782, 1167, 29779, 1679, 24456, 2537, 1186, 18241, 1199, 1207, 3203, 13895, 8155, 488, 124, 125, 2875, 488, 125, 123, 125, 126, 119, 1527, 2368, 1819, 1336, 1300, 1158, 24264, 2397, 17339, 1231, 18323, 157, 19650, 6036, 1199, 1856, 29283, 1125, 18323, 157, 1431, 1197, 4322, 19754, 1304, 20270, 1125, 23583, 5342, 185, 2241, 1768, 18532, 1318, 22880, 4235, 1167, 20235, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1768, 1299, 1971, 1452, 244, 1125, 1408, 1125, 7762, 4826, 1215, 22120, 1187, 6453, 14210, 1723, 1440, 4755, 2551, 17983, 1382, 11833, 3649, 1188, 1158, 1252, 2058, 182, 1762, 1170, 3694, 1125, 14045, 1304, 20270, 1125, 1158, 4309, 1348, 14065, 1188, 15814, 10520, 186, 5371, 1935, 184, 3266, 1548, 488, 125, 128, 2822, 488, 125, 123, 125, 126, 119, 1527, 1281, 5509, 1188, 1318, 16535, 1714, 6407, 1186, 6425, 1227, 11684, 1442, 186, 18323, 24338, 1495, 2114, 1469, 1293, 2323, 183, 1308, 172, 17595, 2323, 2086, 1173, 2683, 2504, 9901, 1132, 1331, 1167, 7546, 21352, 1293, 2323, 1172, 2036, 1808, 5999, 6626, 1288, 21275, 16544, 5025, 1723, 15814, 10520, 186, 5371, 1935, 3679, 30957, 12048, 1188, 1878, 12402, 1158, 14789, 1256, 14756, 21545, 5551, 1173, 2683, 2504, 9901, 1132, 1331, 121, 1548, 488, 126, 2578, 488, 125, 123, 125, 126, 119, 1527, 5909, 1170, 7882, 1125, 10399, 15640, 1125, 18323, 157, 1431, 1571, 4322, 19754, 22572, 1125, 23583, 5342, 3161, 1188, 1293, 1153, 1109, 181, 2596, 1768, 4715, 1313, 1189, 3151, 2658, 1170, 3509, 1740, 1517, 8991, 1266, 1142, 1722, 1105, 2368, 1320, 24517, 1197, 16767, 1125, 1158, 4235, 2567, 1309, 1440, 4755, 1288, 1115, 4567, 1170, 6844, 121, 15814, 10520, 186, 5371, 1935, 3679, 1186, 27565, 1256, 19829, 1158, 6425, 1125, 4235, 1167, 2368, 3309, 1731, 2079, 1170, 3694, 8732, 26361, 1194, 6090, 8799, 9323, 1167, 16828, 5825, 29496, 1186, 3201, 488, 124, 132, 132, 128, 8156, 1188, 20169, 6271, 1505, 7192, 1136, 1125, 3080, 17779, 4196, 1916, 1231, 22572, 1125, 23583, 5342, 3161, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 141, 1608, 1379, 12554, 4056, 119, 5252, 1170, 488, 125, 125, 2578, 488, 124, 132, 126, 123, 1167, 4541, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 1299, 1189, 2129, 12671, 2720, 1167, 1189, 8328, 1125, 3370, 12886, 1369, 1317, 6508, 3781, 1125, 1158, 3370, 11246, 1167, 1188, 12547, 10070, 1197, 12349, 1104, 5420, 4119, 1186, 10850, 9597, 1104, 7890, 147, 7173, 116, 1317, 6508, 7993, 5592, 1197, 17814, 6893, 121, 13949, 12554, 4056, 1299, 9918, 1256, 1158, 5735, 1227, 1874, 1606, 7577, 1197, 20847, 5964, 1524, 1256, 18051, 19167, 16935, 2497, 3672, 1170, 5294, 22675, 10331, 175, 14231, 2093, 141, 1608, 1379, 12554, 4056, 1139, 6146, 1170, 488, 125, 125, 2578, 1188, 13894, 120, 3272, 24120, 8021, 21930, 4994, 1653, 488, 124, 132, 128, 126, 119, 1527, 18764, 1318, 12969, 1125, 20727, 2648, 1835, 488, 124, 132, 128, 128, 1167, 488, 124, 132, 128, 130, 119, 1844, 1594, 2424, 11894, 121, 1768, 1835, 1317, 9476, 10870, 1856, 30236, 1369, 1186, 488, 124, 132, 129, 123, 1167, 8524, 1123, 1594, 11622, 1128, 1125, 2129, 16499, 29693, 1215, 16855, 25245, 12505, 8370, 488, 124, 132, 130, 123, 119, 1170, 16216, 4371, 1125, 2129, 4058, 21845, 7354, 1170, 6508, 6320, 5592, 1197, 17814, 6893, 121, 1808, 5031, 1125, 12554, 4056, 1281, 2630, 2089, 4796, 2391, 1300, 1271, 21056, 2923, 1167, 1207, 11810, 1234, 2040, 1317, 3285, 2134, 6273, 6320, 5592, 1186, 26274, 1186, 488, 124, 132, 130, 126, 119, 1527, 30686, 1123, 1909, 12339, 1300, 1271, 21056, 22270, 7609, 5014, 8229, 1527, 17154, 1300, 1158, 4356, 1197, 10331, 175, 1297, 4511, 1158, 3011, 1125, 1440, 3831, 3301, 1527, 5367, 7009, 1189, 2929, 14449, 155, 1300, 31560, 9803, 1197, 20847, 1313, 26914, 1197, 10331, 8502, 1523, 1594, 3151, 6092, 20360, 1571, 10331, 175, 1297, 2093, 152, 1190, 4056, 6666, 1170, 20205, 1148, 8403, 17812, 8713, 1246, 1146, 5520, 1357, 9900, 1313, 1170, 19391, 1125, 20205, 1960, 1125, 30437, 19382, 3595, 1130, 1188, 22803, 29693, 1215, 7451, 1753, 1387, 4970, 8509, 27995, 3991, 173, 1118, 1299, 1170, 8918, 1109, 1125, 13949, 12554, 4056, 31070, 5464, 1227, 28637, 25035, 1132, 1197, 10331, 8502, 1469, 1158, 18409, 10999, 1197, 10331, 8502, 1357, 1110, 4795, 3601, 1188, 10681, 15321, 1186, 488, 124, 132, 130, 128, 119, 13949, 12554, 4056, 12459, 1125, 4110, 3921, 1469, 1158, 5740, 10331, 1208, 25572, 1768, 9331, 1112, 9911, 10549, 1318, 10604, 11666, 1125, 3171, 5840, 16475, 16147, 1257, 1235, 216, 2176, 2519, 7577, 1114, 4270, 184, 2598, 1303, 4095, 13802, 1561, 6205, 4048, 1207, 7779, 1606, 30792, 3133, 1606, 1127, 1195, 1460, 3133, 1606, 19167, 16935, 2497, 1524, 8246, 2813, 23557, 1317, 8612, 1227, 3631, 8774, 1980, 1182, 1158, 7577, 1197, 2191, 1457, 7155, 10905, 12302, 1167, 13324, 1125, 17812, 8713, 1246, 1146, 5520, 3342, 2180, 1129, 1189, 3274, 26584, 20205, 2635, 1167, 2129, 10723, 1125, 1158, 9287, 10331, 1208, 1186, 12350, 1778, 1158, 18908, 3342, 4643, 1129, 1197, 25493, 1690, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 12078, 2585, 1281, 11512, 1129, 1197, 23309, 15996, 17292, 14986, 4886, 16790, 3157, 1105, 13989, 23549, 192, 13989, 5690, 26338, 1167, 10331, 175, 1297, 1778, 11346, 3342, 12992, 1129, 1189, 30283, 24445, 13348, 1165, 2950, 1304, 283, 6152, 2022, 1255, 1199, 1207, 18928, 1197, 25493, 1690, 1167, 12112, 1199, 2510, 15166, 1300, 1207, 15532, 1197, 20847, 14610, 1457, 4060, 14621, 1299, 18078, 1125, 2749, 488, 124, 132, 130, 130, 1188, 2798, 488, 124, 132, 131, 129, 12258, 1299, 1300, 185, 23726, 1215, 1158, 9287, 10331, 1208, 1235, 6880, 11756, 244, 1125, 12547, 187, 1303, 1197, 2658, 27957, 109, 27404, 1158, 3011, 1125, 1594, 1805, 8566, 1189, 22107, 2435, 1110, 1913, 9365, 1188, 2801, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 2585, 1281, 1508, 8510, 1234, 1125, 6344, 27539, 1125, 1158, 9287, 10331, 1208, 19832, 2442, 1309, 1125, 1158, 9287, 11246, 23460, 1214, 11069, 1424, 141, 1608, 1379, 12554, 4056, 8135, 1557, 3649, 1469, 1222, 10831, 10447, 14624, 20569, 2264, 193, 11480, 14662, 1170, 488, 125, 125, 2829, 488, 124, 132, 128, 131, 1313, 22938, 20606, 2719, 1262, 1125, 3984, 1767, 2040, 3342, 2004, 2069, 4661, 1186, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 127, 121, 1643, 7005, 1227, 488, 125, 123, 2578, 488, 125, 123, 124, 129, 119, 1594, 16722, 1805, 6106, 1188, 2801, 9663, 13449, 12928, 10668, 3963, 1125, 12180, 1167, 8443, 14807, 2137, 1175, 124, 132, 129, 129, 1496, 9476, 10870, 2895, 4911, 4058, 6076, 7615, 6721, 1202, 160, 11172, 10302, 121, 1235, 9435, 3362, 5297, 1617, 1523, 488, 124, 132, 130, 124, 2895, 1300, 175, 1348, 1313, 1158, 2492, 1125, 2183, 1207, 13872, 6721, 23392, 153, 1605, 147, 148, 3486, 160, 11172, 1175, 124, 132, 131, 124, 28072, 1173, 1157, 8502, 29006, 14505, 1617, 1175, 125, 123, 123, 129, 1496, 21993, 2576, 147, 2569, 2251, 1119, 9323, 1167, 5474, 19528, 3260, 4134, 1125, 13949, 12554, 4056, 1194, 154, 2886, 9172, 7364, 22260, 11934, 3249, 7364, 5825, 29496, 1186, 2578, 488, 124, 132, 126, 123, 26626, 15925, 2009, 5846, 2009, 1256, 1158, 3908, 10331, 1208, 1763, 25246, 1125, 3370, 1317, 9476, 10870, 9317, 1186, 2749, 488, 125, 123, 123, 132, 1628, 1642, 12671, 2720, 1227, 23841, 6298, 9317, 1188, 488, 130, 131, 2165, 32001, 1424, 32000, 20036, 2056, 1608, 1379, 12554, 4056, 119, 5252, 1170, 488, 125, 125, 2578, 488, 124, 132, 126, 123, 1167, 4541, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 1299, 1189, 2129, 12671, 2720, 1167, 1189, 8328, 1125, 3370, 12886, 1369, 1317, 6508, 3781, 1125, 1158, 3370, 11246, 1167, 1188, 12547, 10070, 1197, 12349, 1104, 5420, 4119, 1186, 10850, 9597, 1104, 7890, 147, 7173, 116, 1317, 6508, 7993, 5592, 1197, 17814, 6893, 121, 13949, 12554, 4056, 1299, 9918, 1256, 1158, 5735, 1227, 1874, 1606, 7577, 1197, 20847, 5964, 1524, 1256, 18051, 19167, 16935, 2497, 3672, 1170, 5294, 22675, 10331, 175, 14231, 2093, 141, 1608, 1379, 12554, 4056, 1139, 6146, 1170, 488, 125, 125, 2578, 1188, 13894, 120, 3272, 24120, 8021, 21930, 4994, 1653, 488, 124, 132, 128, 126, 119, 1527, 18764, 1318, 12969, 1125, 20727, 2648, 1835, 488, 124, 132, 128, 128, 1167, 488, 124, 132, 128, 130, 119, 1844, 1594, 2424, 11894, 121, 1768, 1835, 1317, 9476, 10870, 1856, 30236, 1369, 1186, 488, 124, 132, 129, 123, 1167, 8524, 1123, 1594, 11622, 1128, 1125, 2129, 16499, 29693, 1215, 16855, 25245, 12505, 8370, 488, 124, 132, 130, 123, 119, 1170, 16216, 4371, 1125, 2129, 4058, 21845, 7354, 1170, 6508, 6320, 5592, 1197, 17814, 6893, 121, 1808, 5031, 1125, 12554, 4056, 1281, 2630, 2089, 4796, 2391, 1300, 1271, 21056, 2923, 1167, 1207, 11810, 1234, 2040, 1317, 3285, 2134, 6273, 6320, 5592, 1186, 26274, 1186, 488, 124, 132, 130, 126, 119, 1527, 30686, 1123, 1909, 12339, 1300, 1271, 21056, 22270, 7609, 5014, 8229, 1527, 17154, 1300, 1158, 4356, 1197, 10331, 175, 1297, 4511, 1158, 3011, 1125, 1440, 3831, 3301, 1527, 5367, 7009, 1189, 2929, 14449, 155, 1300, 31560, 9803, 1197, 20847, 1313, 26914, 1197, 10331, 8502, 1523, 1594, 3151, 6092, 20360, 1571, 10331, 175, 1297, 2093, 152, 1190, 4056, 6666, 1170, 20205, 1148, 8403, 17812, 8713, 1246, 1146, 5520, 1357, 9900, 1313, 1170, 19391, 1125, 20205, 1960, 1125, 30437, 19382, 3595, 1130, 1188, 22803, 29693, 1215, 7451, 1753, 1387, 4970, 8509, 27995, 3991, 173, 1118, 1299, 1170, 8918, 1109, 1125, 13949, 12554, 4056, 31070, 5464, 1227, 28637, 25035, 1132, 1197, 10331, 8502, 1469, 1158, 18409, 10999, 1197, 10331, 8502, 1357, 1110, 4795, 3601, 1188, 10681, 15321, 1186, 488, 124, 132, 130, 128, 119, 13949, 12554, 4056, 12459, 1125, 4110, 3921, 1469, 1158, 5740, 10331, 1208, 25572, 1768, 9331, 1112, 9911, 10549, 1318, 10604, 11666, 1125, 3171, 5840, 16475, 16147, 1257, 1235, 216, 2176, 2519, 7577, 1114, 4270, 184, 2598, 1303, 4095, 13802, 1561, 6205, 4048, 1207, 7779, 1606, 30792, 3133, 1606, 1127, 1195, 1460, 3133, 1606, 19167, 16935, 2497, 1524, 8246, 2813, 23557, 1317, 8612, 1227, 3631, 8774, 1980, 1182, 1158, 7577, 1197, 2191, 1457, 7155, 10905, 12302, 1167, 13324, 1125, 17812, 8713, 1246, 1146, 5520, 3342, 2180, 1129, 1189, 3274, 26584, 20205, 2635, 1167, 2129, 10723, 1125, 1158, 9287, 10331, 1208, 1186, 12350, 1778, 1158, 18908, 3342, 4643, 1129, 1197, 25493, 1690, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 12078, 2585, 1281, 11512, 1129, 1197, 23309, 15996, 17292, 14986, 4886, 16790, 3157, 1105, 13989, 23549, 192, 13989, 5690, 26338, 1167, 10331, 175, 1297, 1778, 11346, 3342, 12992, 1129, 1189, 30283, 24445, 13348, 1165, 2950, 1304, 283, 6152, 2022, 1255, 1199, 1207, 18928, 1197, 25493, 1690, 1167, 12112, 1199, 2510, 15166, 1300, 1207, 15532, 1197, 20847, 14610, 1457, 4060, 14621, 1299, 18078, 1125, 2749, 488, 124, 132, 130, 130, 1188, 2798, 488, 124, 132, 131, 129, 12258, 1299, 1300, 185, 23726, 1215, 1158, 9287, 10331, 1208, 1235, 6880, 11756, 244, 1125, 12547, 187, 1303, 1197, 2658, 27957, 109, 27404, 1158, 3011, 1125, 1594, 1805, 8566, 1189, 22107, 2435, 1110, 1913, 9365, 1188, 2801, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 2585, 1281, 1508, 8510, 1234, 1125, 6344, 27539, 1125, 1158, 9287, 10331, 1208, 19832, 2442, 1309, 1125, 1158, 9287, 11246, 23460, 1214, 11069, 1424, 141, 1608, 1379, 12554, 4056, 8135, 1557, 3649, 1469, 1222, 10831, 10447, 14624, 20569, 2264, 193, 11480, 14662, 1170, 488, 125, 125, 2829, 488, 124, 132, 128, 131, 1313, 22938, 20606, 2719, 1262, 1125, 3984, 1767, 2040, 3342, 2004, 2069, 4661, 1186, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 127, 121, 1643, 7005, 1227, 488, 125, 123, 2578, 488, 125, 123, 124, 129, 119, 1594, 16722, 1805, 6106, 1188, 2801, 9663, 13449, 12928, 10668, 3963, 1125, 12180, 1167, 8443, 14807, 2137, 1175, 124, 132, 129, 129, 1496, 9476, 10870, 2895, 4911, 4058, 6076, 7615, 6721, 1202, 160, 11172, 10302, 121, 1235, 9435, 3362, 5297, 1617, 1523, 488, 124, 132, 130, 124, 2895, 1300, 175, 1348, 1313, 1158, 2492, 1125, 2183, 1207, 13872, 6721, 23392, 153, 1605, 147, 148, 3486, 160, 11172, 1175, 124, 132, 131, 124, 28072, 1173, 1157, 8502, 29006, 14505, 1617, 1175, 125, 123, 123, 129, 1496, 21993, 2576, 147, 2569, 2251, 1119, 9323, 1167, 5474, 19528, 3260, 4134, 1125, 13949, 12554, 4056, 1194, 154, 2886, 9172, 7364, 22260, 11934, 3249, 7364, 5825, 29496, 1186, 2578, 488, 124, 132, 126, 123, 26626, 15925, 2009, 5846, 2009, 1256, 1158, 3908, 10331, 1208, 1763, 25246, 1125, 3370, 1317, 9476, 10870, 9317, 1186, 2749, 488, 125, 123, 123, 132, 1628, 1642, 12671, 2720, 1227, 23841, 6298, 9317, 1188, 488, 130, 131, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2056, 1608, 1379, 12554, 4056, 119, 5252, 1170, 488, 125, 125, 2578, 488, 124, 132, 126, 123, 1167, 4541, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 1299, 1189, 2129, 12671, 2720, 1167, 1189, 8328, 1125, 3370, 12886, 1369, 1317, 6508, 3781, 1125, 1158, 3370, 11246, 1167, 1188, 12547, 10070, 1197, 12349, 1104, 5420, 4119, 1186, 10850, 9597, 1104, 7890, 147, 7173, 116, 1317, 6508, 7993, 5592, 1197, 17814, 6893, 121, 13949, 12554, 4056, 1299, 9918, 1256, 1158, 5735, 1227, 1874, 1606, 7577, 1197, 20847, 5964, 1524, 1256, 18051, 19167, 16935, 2497, 3672, 1170, 5294, 22675, 10331, 175, 14231, 2093, 141, 1608, 1379, 12554, 4056, 1139, 6146, 1170, 488, 125, 125, 2578, 1188, 13894, 120, 3272, 24120, 8021, 21930, 4994, 1653, 488, 124, 132, 128, 126, 119, 1527, 18764, 1318, 12969, 1125, 20727, 2648, 1835, 488, 124, 132, 128, 128, 1167, 488, 124, 132, 128, 130, 119, 1844, 1594, 2424, 11894, 121, 1768, 1835, 1317, 9476, 10870, 1856, 30236, 1369, 1186, 488, 124, 132, 129, 123, 1167, 8524, 1123, 1594, 11622, 1128, 1125, 2129, 16499, 29693, 1215, 16855, 25245, 12505, 8370, 488, 124, 132, 130, 123, 119, 1170, 16216, 4371, 1125, 2129, 4058, 21845, 7354, 1170, 6508, 6320, 5592, 1197, 17814, 6893, 121, 1808, 5031, 1125, 12554, 4056, 1281, 2630, 2089, 4796, 2391, 1300, 1271, 21056, 2923, 1167, 1207, 11810, 1234, 2040, 1317, 3285, 2134, 6273, 6320, 5592, 1186, 26274, 1186, 488, 124, 132, 130, 126, 119, 1527, 30686, 1123, 1909, 12339, 1300, 1271, 21056, 22270, 7609, 5014, 8229, 1527, 17154, 1300, 1158, 4356, 1197, 10331, 175, 1297, 4511, 1158, 3011, 1125, 1440, 3831, 3301, 1527, 5367, 7009, 1189, 2929, 14449, 155, 1300, 31560, 9803, 1197, 20847, 1313, 26914, 1197, 10331, 8502, 1523, 1594, 3151, 6092, 20360, 1571, 10331, 175, 1297, 2093, 152, 1190, 4056, 6666, 1170, 20205, 1148, 8403, 17812, 8713, 1246, 1146, 5520, 1357, 9900, 1313, 1170, 19391, 1125, 20205, 1960, 1125, 30437, 19382, 3595, 1130, 1188, 22803, 29693, 1215, 7451, 1753, 1387, 4970, 8509, 27995, 3991, 173, 1118, 1299, 1170, 8918, 1109, 1125, 13949, 12554, 4056, 31070, 5464, 1227, 28637, 25035, 1132, 1197, 10331, 8502, 1469, 1158, 18409, 10999, 1197, 10331, 8502, 1357, 1110, 4795, 3601, 1188, 10681, 15321, 1186, 488, 124, 132, 130, 128, 119, 13949, 12554, 4056, 12459, 1125, 4110, 3921, 1469, 1158, 5740, 10331, 1208, 25572, 1768, 9331, 1112, 9911, 10549, 1318, 10604, 11666, 1125, 3171, 5840, 16475, 16147, 1257, 1235, 216, 2176, 2519, 7577, 1114, 4270, 184, 2598, 1303, 4095, 13802, 1561, 6205, 4048, 1207, 7779, 1606, 30792, 3133, 1606, 1127, 1195, 1460, 3133, 1606, 19167, 16935, 2497, 1524, 8246, 2813, 23557, 1317, 8612, 1227, 3631, 8774, 1980, 1182, 1158, 7577, 1197, 2191, 1457, 7155, 10905, 12302, 1167, 13324, 1125, 17812, 8713, 1246, 1146, 5520, 3342, 2180, 1129, 1189, 3274, 26584, 20205, 2635, 1167, 2129, 10723, 1125, 1158, 9287, 10331, 1208, 1186, 12350, 1778, 1158, 18908, 3342, 4643, 1129, 1197, 25493, 1690, 1188, 12547, 10070, 1197, 30013, 8787, 1186, 11733, 12078, 2585, 1281, 11512, 1129, 1197, 23309, 15996, 17292, 14986, 4886, 16790, 3157, 1105, 13989, 23549, 192, 13989, 5690, 26338, 1167, 10331, 175, 1297, 1778, 11346, 3342, 12992, 1129, 1189, 30283, 24445, 13348, 1165, 2950, 1304, 283, 6152, 2022, 1255, 1199, 1207, 18928, 1197, 25493, 1690, 1167, 12112, 1199, 2510, 15166, 1300, 1207, 15532, 1197, 20847, 14610, 1457, 4060, 14621, 1299, 18078, 1125, 2749, 488, 124, 132, 130, 130, 1188, 2798, 488, 124, 132, 131, 129, 12258, 1299, 1300, 185, 23726, 1215, 1158, 9287, 10331, 1208, 1235, 6880, 11756, 244, 1125, 12547, 187, 1303, 1197, 2658, 27957, 109, 27404, 1158, 3011, 1125, 1594, 1805, 8566, 1189, 22107, 2435, 1110, 1913, 9365, 1188, 2801, 1170, 488, 130, 3141, 488, 125, 123, 123, 132, 119, 2585, 1281, 1508, 8510, 1234, 1125, 6344, 27539, 1125, 1158, 9287, 10331, 1208, 19832, 2442, 1309, 1125, 1158, 9287, 11246, 23460, 1214, 11069, 1424, 141, 1608, 1379, 12554, 4056, 8135, 1557, 3649, 1469, 1222, 10831, 10447, 14624, 20569, 2264, 193, 11480, 14662, 1170, 488, 125, 125, 2829, 488, 124, 132, 128, 131, 1313, 22938, 20606, 2719, 1262, 1125, 3984, 1767, 2040, 3342, 2004, 2069, 4661, 1186, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 127, 121, 1643, 7005, 1227, 488, 125, 123, 2578, 488, 125, 123, 124, 129, 119, 1594, 16722, 1805, 6106, 1188, 2801, 9663, 13449, 12928, 10668, 3963, 1125, 12180, 1167, 8443, 14807, 2137, 1175, 124, 132, 129, 129, 1496, 9476, 10870, 2895, 4911, 4058, 6076, 7615, 6721, 1202, 160, 11172, 10302, 121, 1235, 9435, 3362, 5297, 1617, 1523, 488, 124, 132, 130, 124, 2895, 1300, 175, 1348, 1313, 1158, 2492, 1125, 2183, 1207, 13872, 6721, 23392, 153, 1605, 147, 148, 3486, 160, 11172, 1175, 124, 132, 131, 124, 28072, 1173, 1157, 8502, 29006, 14505, 1617, 1175, 125, 123, 123, 129, 1496, 21993, 2576, 147, 2569, 2251, 1119, 9323, 1167, 5474, 19528, 3260, 4134, 1125, 13949, 12554, 4056, 1194, 154, 2886, 9172, 7364, 22260, 11934, 3249, 7364, 5825, 29496, 1186, 2578, 488, 124, 132, 126, 123, 26626, 15925, 2009, 5846, 2009, 1256, 1158, 3908, 10331, 1208, 1763, 25246, 1125, 3370, 1317, 9476, 10870, 9317, 1186, 2749, 488, 125, 123, 123, 132, 1628, 1642, 12671, 2720, 1227, 23841, 6298, 9317, 1188, 488, 130, 131, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 153, 7187, 3985, 3554, 2433, 5252, 1170, 488, 126, 123, 2875, 488, 124, 132, 132, 129, 1188, 2397, 1136, 1507, 1186, 1173, 1660, 5650, 1299, 1189, 4981, 24981, 4578, 19130, 119, 1357, 28160, 1317, 8536, 1125, 9293, 1136, 15356, 3850, 1768, 28160, 1313, 1170, 5878, 10816, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 14231, 1194, 9983, 2397, 1136, 1507, 1424, 153, 3193, 1125, 2397, 1136, 29482, 3985, 3554, 180, 1299, 7841, 1227, 4779, 1125, 3968, 1227, 13054, 2397, 1136, 1507, 121, 1768, 18532, 1909, 28407, 1186, 7673, 11859, 1170, 488, 124, 125, 3012, 488, 125, 123, 124, 127, 119, 2391, 2519, 14789, 1227, 13054, 165, 1300, 1643, 1153, 7821, 1175, 124, 120, 123, 4023, 141, 1121, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 25268, 16773, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 7542, 1170, 18673, 7613, 488, 125, 123, 124, 128, 119, 1170, 13867, 1299, 16752, 1186, 2798, 8155, 488, 125, 123, 3201, 488, 125, 123, 124, 130, 119, 3985, 3554, 180, 8827, 1594, 3151, 1663, 1256, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 119, 1188, 15466, 1125, 1158, 3453, 7185, 1125, 1158, 6586, 488, 125, 123, 124, 130, 120, 125, 123, 124, 131, 1125, 1233, 2506, 1104, 3215, 172, 3691, 1317, 488, 124, 121, 13054, 1165, 16442, 121, 15605, 4010, 1317, 8536, 11734, 4096, 21305, 1527, 5714, 1158, 14789, 1188, 1594, 4924, 1186, 6058, 6113, 1460, 2222, 1836, 1125, 1158, 6666, 8155, 488, 132, 2921, 488, 125, 123, 125, 124, 119, 3985, 3554, 180, 1223, 9957, 1315, 1594, 5234, 1469, 1204, 26898, 1210, 1896, 17529, 23881, 22571, 488, 125, 123, 125, 127, 8370, 5266, 25268, 14882, 1561, 3453, 5266, 1186, 4924, 1125, 13111, 1170, 488, 125, 131, 2738, 488, 125, 123, 124, 129, 2714, 1158, 13702, 1188, 20191, 4250, 3401, 20645, 488, 124, 120, 125, 1576, 1643, 2076, 13407, 1527, 1299, 27247, 1215, 27341, 27728, 13272, 28962, 180, 267, 1256, 10848, 1188, 5613, 22887, 488, 125, 123, 124, 129, 119, 1527, 11437, 3227, 2960, 11103, 5631, 3904, 121, 1808, 1335, 14272, 4616, 31742, 1234, 1215, 1158, 24088, 1186, 15595, 1477, 3963, 1125, 1622, 5907, 2093, 13661, 3554, 180, 1299, 27247, 1215, 1170, 5266, 12243, 27341, 27728, 13272, 28962, 180, 267, 1313, 1158, 4575, 1197, 488, 125, 126, 12012, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1357, 1281, 23408, 1186, 8903, 4654, 1768, 1288, 10809, 12634, 5631, 3904, 7542, 1170, 5505, 22160, 27111, 11818, 1119, 9827, 1167, 9521, 2323, 4847, 15766, 6058, 1207, 23704, 1186, 9293, 2630, 1154, 6204, 1643, 13111, 1281, 1765, 1206, 22571, 15595, 1477, 3963, 1125, 1622, 3701, 2585, 2399, 1299, 8585, 1277, 1215, 1158, 26274, 1175, 124, 120, 123, 4023, 5164, 1299, 27247, 1215, 1170, 5266, 12243, 1125, 1158, 1173, 1660, 5650, 27341, 27728, 13272, 28962, 180, 267, 119, 1313, 1158, 4575, 1197, 488, 125, 129, 12012, 1335, 14272, 3143, 1125, 10848, 1188, 5613, 22887, 488, 125, 123, 125, 123, 121, 1808, 1335, 14272, 5682, 1258, 22571, 1179, 8752, 3840, 120, 1773, 1366, 31742, 1234, 1215, 5613, 19085, 1571, 8004, 9481, 1334, 120, 2479, 190, 8155, 488, 125, 128, 2738, 488, 125, 123, 125, 125, 119, 1527, 1299, 28588, 1215, 11089, 1128, 1671, 1569, 23787, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 125, 125, 1388, 2003, 12224, 9323, 1167, 16828, 5825, 28912, 2836, 24981, 4578, 19130, 1628, 2284, 1533, 2207, 1136, 1507, 1517, 14601, 1227, 13054, 2397, 1136, 1507, 14601, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 8156, 1186, 2875, 488, 124, 132, 132, 129, 8156, 1188, 2397, 1136, 1507, 32001, 1424, 32000, 20036, 1875, 7187, 3985, 3554, 2433, 5252, 1170, 488, 126, 123, 2875, 488, 124, 132, 132, 129, 1188, 2397, 1136, 1507, 1186, 1173, 1660, 5650, 1299, 1189, 4981, 24981, 4578, 19130, 119, 1357, 28160, 1317, 8536, 1125, 9293, 1136, 15356, 3850, 1768, 28160, 1313, 1170, 5878, 10816, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 14231, 1194, 9983, 2397, 1136, 1507, 1424, 153, 3193, 1125, 2397, 1136, 29482, 3985, 3554, 180, 1299, 7841, 1227, 4779, 1125, 3968, 1227, 13054, 2397, 1136, 1507, 121, 1768, 18532, 1909, 28407, 1186, 7673, 11859, 1170, 488, 124, 125, 3012, 488, 125, 123, 124, 127, 119, 2391, 2519, 14789, 1227, 13054, 165, 1300, 1643, 1153, 7821, 1175, 124, 120, 123, 4023, 141, 1121, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 25268, 16773, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 7542, 1170, 18673, 7613, 488, 125, 123, 124, 128, 119, 1170, 13867, 1299, 16752, 1186, 2798, 8155, 488, 125, 123, 3201, 488, 125, 123, 124, 130, 119, 3985, 3554, 180, 8827, 1594, 3151, 1663, 1256, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 119, 1188, 15466, 1125, 1158, 3453, 7185, 1125, 1158, 6586, 488, 125, 123, 124, 130, 120, 125, 123, 124, 131, 1125, 1233, 2506, 1104, 3215, 172, 3691, 1317, 488, 124, 121, 13054, 1165, 16442, 121, 15605, 4010, 1317, 8536, 11734, 4096, 21305, 1527, 5714, 1158, 14789, 1188, 1594, 4924, 1186, 6058, 6113, 1460, 2222, 1836, 1125, 1158, 6666, 8155, 488, 132, 2921, 488, 125, 123, 125, 124, 119, 3985, 3554, 180, 1223, 9957, 1315, 1594, 5234, 1469, 1204, 26898, 1210, 1896, 17529, 23881, 22571, 488, 125, 123, 125, 127, 8370, 5266, 25268, 14882, 1561, 3453, 5266, 1186, 4924, 1125, 13111, 1170, 488, 125, 131, 2738, 488, 125, 123, 124, 129, 2714, 1158, 13702, 1188, 20191, 4250, 3401, 20645, 488, 124, 120, 125, 1576, 1643, 2076, 13407, 1527, 1299, 27247, 1215, 27341, 27728, 13272, 28962, 180, 267, 1256, 10848, 1188, 5613, 22887, 488, 125, 123, 124, 129, 119, 1527, 11437, 3227, 2960, 11103, 5631, 3904, 121, 1808, 1335, 14272, 4616, 31742, 1234, 1215, 1158, 24088, 1186, 15595, 1477, 3963, 1125, 1622, 5907, 2093, 13661, 3554, 180, 1299, 27247, 1215, 1170, 5266, 12243, 27341, 27728, 13272, 28962, 180, 267, 1313, 1158, 4575, 1197, 488, 125, 126, 12012, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1357, 1281, 23408, 1186, 8903, 4654, 1768, 1288, 10809, 12634, 5631, 3904, 7542, 1170, 5505, 22160, 27111, 11818, 1119, 9827, 1167, 9521, 2323, 4847, 15766, 6058, 1207, 23704, 1186, 9293, 2630, 1154, 6204, 1643, 13111, 1281, 1765, 1206, 22571, 15595, 1477, 3963, 1125, 1622, 3701, 2585, 2399, 1299, 8585, 1277, 1215, 1158, 26274, 1175, 124, 120, 123, 4023, 5164, 1299, 27247, 1215, 1170, 5266, 12243, 1125, 1158, 1173, 1660, 5650, 27341, 27728, 13272, 28962, 180, 267, 119, 1313, 1158, 4575, 1197, 488, 125, 129, 12012, 1335, 14272, 3143, 1125, 10848, 1188, 5613, 22887, 488, 125, 123, 125, 123, 121, 1808, 1335, 14272, 5682, 1258, 22571, 1179, 8752, 3840, 120, 1773, 1366, 31742, 1234, 1215, 5613, 19085, 1571, 8004, 9481, 1334, 120, 2479, 190, 8155, 488, 125, 128, 2738, 488, 125, 123, 125, 125, 119, 1527, 1299, 28588, 1215, 11089, 1128, 1671, 1569, 23787, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 125, 125, 1388, 2003, 12224, 9323, 1167, 16828, 5825, 28912, 2836, 24981, 4578, 19130, 1628, 2284, 1533, 2207, 1136, 1507, 1517, 14601, 1227, 13054, 2397, 1136, 1507, 14601, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 8156, 1186, 2875, 488, 124, 132, 132, 129, 8156, 1188, 2397, 1136, 1507, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1875, 7187, 3985, 3554, 2433, 5252, 1170, 488, 126, 123, 2875, 488, 124, 132, 132, 129, 1188, 2397, 1136, 1507, 1186, 1173, 1660, 5650, 1299, 1189, 4981, 24981, 4578, 19130, 119, 1357, 28160, 1317, 8536, 1125, 9293, 1136, 15356, 3850, 1768, 28160, 1313, 1170, 5878, 10816, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 14231, 1194, 9983, 2397, 1136, 1507, 1424, 153, 3193, 1125, 2397, 1136, 29482, 3985, 3554, 180, 1299, 7841, 1227, 4779, 1125, 3968, 1227, 13054, 2397, 1136, 1507, 121, 1768, 18532, 1909, 28407, 1186, 7673, 11859, 1170, 488, 124, 125, 3012, 488, 125, 123, 124, 127, 119, 2391, 2519, 14789, 1227, 13054, 165, 1300, 1643, 1153, 7821, 1175, 124, 120, 123, 4023, 141, 1121, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 25268, 16773, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 7542, 1170, 18673, 7613, 488, 125, 123, 124, 128, 119, 1170, 13867, 1299, 16752, 1186, 2798, 8155, 488, 125, 123, 3201, 488, 125, 123, 124, 130, 119, 3985, 3554, 180, 8827, 1594, 3151, 1663, 1256, 1170, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 119, 1188, 15466, 1125, 1158, 3453, 7185, 1125, 1158, 6586, 488, 125, 123, 124, 130, 120, 125, 123, 124, 131, 1125, 1233, 2506, 1104, 3215, 172, 3691, 1317, 488, 124, 121, 13054, 1165, 16442, 121, 15605, 4010, 1317, 8536, 11734, 4096, 21305, 1527, 5714, 1158, 14789, 1188, 1594, 4924, 1186, 6058, 6113, 1460, 2222, 1836, 1125, 1158, 6666, 8155, 488, 132, 2921, 488, 125, 123, 125, 124, 119, 3985, 3554, 180, 1223, 9957, 1315, 1594, 5234, 1469, 1204, 26898, 1210, 1896, 17529, 23881, 22571, 488, 125, 123, 125, 127, 8370, 5266, 25268, 14882, 1561, 3453, 5266, 1186, 4924, 1125, 13111, 1170, 488, 125, 131, 2738, 488, 125, 123, 124, 129, 2714, 1158, 13702, 1188, 20191, 4250, 3401, 20645, 488, 124, 120, 125, 1576, 1643, 2076, 13407, 1527, 1299, 27247, 1215, 27341, 27728, 13272, 28962, 180, 267, 1256, 10848, 1188, 5613, 22887, 488, 125, 123, 124, 129, 119, 1527, 11437, 3227, 2960, 11103, 5631, 3904, 121, 1808, 1335, 14272, 4616, 31742, 1234, 1215, 1158, 24088, 1186, 15595, 1477, 3963, 1125, 1622, 5907, 2093, 13661, 3554, 180, 1299, 27247, 1215, 1170, 5266, 12243, 27341, 27728, 13272, 28962, 180, 267, 1313, 1158, 4575, 1197, 488, 125, 126, 12012, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1357, 1281, 23408, 1186, 8903, 4654, 1768, 1288, 10809, 12634, 5631, 3904, 7542, 1170, 5505, 22160, 27111, 11818, 1119, 9827, 1167, 9521, 2323, 4847, 15766, 6058, 1207, 23704, 1186, 9293, 2630, 1154, 6204, 1643, 13111, 1281, 1765, 1206, 22571, 15595, 1477, 3963, 1125, 1622, 3701, 2585, 2399, 1299, 8585, 1277, 1215, 1158, 26274, 1175, 124, 120, 123, 4023, 5164, 1299, 27247, 1215, 1170, 5266, 12243, 1125, 1158, 1173, 1660, 5650, 27341, 27728, 13272, 28962, 180, 267, 119, 1313, 1158, 4575, 1197, 488, 125, 129, 12012, 1335, 14272, 3143, 1125, 10848, 1188, 5613, 22887, 488, 125, 123, 125, 123, 121, 1808, 1335, 14272, 5682, 1258, 22571, 1179, 8752, 3840, 120, 1773, 1366, 31742, 1234, 1215, 5613, 19085, 1571, 8004, 9481, 1334, 120, 2479, 190, 8155, 488, 125, 128, 2738, 488, 125, 123, 125, 125, 119, 1527, 1299, 28588, 1215, 11089, 1128, 1671, 1569, 23787, 1256, 10848, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 125, 125, 1388, 2003, 12224, 9323, 1167, 16828, 5825, 28912, 2836, 24981, 4578, 19130, 1628, 2284, 1533, 2207, 1136, 1507, 1517, 14601, 1227, 13054, 2397, 1136, 1507, 14601, 1227, 15689, 1908, 172, 1204, 26898, 1210, 1896, 17529, 23881, 8156, 1186, 2875, 488, 124, 132, 132, 129, 8156, 1188, 2397, 1136, 1507, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 26905, 2564, 172, 21825, 1119, 31838, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 129, 131, 1188, 6280, 1128, 1333, 1186, 1192, 6759, 173, 5363, 175, 181, 3100, 1299, 1189, 6517, 10558, 1110, 6759, 173, 5363, 175, 17636, 7655, 1685, 1836, 1125, 15714, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 24962, 5341, 1167, 9245, 25538, 16738, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 5252, 1313, 1318, 4446, 1304, 1811, 1442, 1701, 1188, 6280, 1128, 31838, 1192, 6759, 173, 5363, 175, 17636, 16814, 6171, 6982, 2782, 15363, 1594, 19860, 26584, 26487, 1186, 9261, 1167, 1186, 8287, 11490, 1186, 488, 124, 132, 131, 126, 119, 1527, 1299, 27679, 1188, 1158, 25163, 1304, 20726, 27779, 1167, 1125, 5934, 5161, 25163, 1125, 9261, 1197, 4972, 1541, 1188, 1518, 25875, 23994, 9102, 18857, 7165, 6982, 2782, 15363, 1594, 19860, 1469, 6216, 119, 1527, 1110, 13551, 1561, 9245, 1186, 4083, 1980, 20726, 5427, 120, 18857, 10558, 1317, 15350, 1125, 1606, 1518, 7464, 1132, 13917, 10226, 1524, 2290, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 17636, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 8217, 1318, 3968, 2936, 1145, 1879, 4192, 1188, 26341, 1125, 9261, 1197, 4972, 1541, 1125, 31805, 5277, 1197, 11733, 1304, 29640, 1186, 488, 124, 132, 132, 123, 120, 124, 132, 132, 125, 1167, 1110, 15363, 1189, 11622, 1128, 1186, 9261, 1167, 8287, 2035, 23480, 2750, 2782, 27314, 1561, 21203, 1606, 4897, 5595, 1125, 8093, 1313, 1207, 10581, 1741, 30233, 153, 180, 142, 192, 17353, 7581, 26479, 1120, 1524, 1186, 488, 124, 132, 132, 126, 121, 6982, 1594, 5464, 1313, 1594, 3293, 23082, 2726, 6389, 6759, 173, 5363, 175, 17636, 1186, 488, 124, 132, 132, 129, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 15363, 1189, 10413, 1188, 15714, 4403, 5519, 6759, 173, 5363, 175, 181, 3100, 2585, 1527, 9900, 2757, 121, 488, 15624, 488, 127, 2578, 488, 125, 123, 124, 123, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 12497, 120, 3376, 1836, 1571, 4445, 4578, 1457, 1548, 488, 125, 132, 2584, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 18640, 13787, 12456, 1125, 1158, 1270, 1369, 1125, 4972, 1390, 3685, 1214, 1167, 1197, 11733, 1197, 4972, 9484, 4862, 29582, 1527, 9900, 1856, 11538, 11246, 1256, 1318, 21203, 1125, 11622, 1128, 1167, 488, 127, 1181, 19992, 1125, 11622, 1128, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 27314, 1561, 21203, 1125, 11622, 1128, 1317, 4921, 1125, 9144, 1494, 1162, 1125, 15714, 4403, 1170, 488, 125, 130, 3141, 488, 125, 123, 123, 131, 1167, 1110, 15363, 1594, 19860, 1125, 28067, 1186, 11733, 6048, 1170, 488, 125, 126, 2749, 488, 125, 123, 123, 132, 121, 1768, 1299, 11041, 6711, 1227, 4921, 1125, 9144, 1494, 1162, 3735, 8676, 3614, 244, 8155, 488, 126, 2875, 488, 125, 123, 124, 128, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 1685, 1836, 1125, 21455, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 121, 1768, 1299, 6711, 1125, 1282, 15297, 10903, 1197, 1838, 7256, 2335, 1879, 4355, 28558, 1125, 4637, 15257, 1256, 1170, 17990, 9081, 1164, 3310, 1170, 1165, 2649, 1483, 1167, 1282, 31348, 13676, 1388, 3742, 8494, 16398, 12928, 1104, 5736, 16398, 1508, 2467, 1473, 11129, 1313, 1207, 24431, 9643, 8623, 20803, 24950, 1333, 1741, 1675, 12657, 1104, 4815, 6614, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 2356, 20803, 1125, 12373, 10184, 1125, 5028, 8552, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 19519, 1180, 2099, 1407, 1234, 23460, 1214, 11069, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 1557, 3649, 1167, 9159, 1125, 488, 126, 4661, 1175, 125, 13257, 1167, 1189, 8658, 1576, 1768, 1299, 1170, 15722, 3482, 1130, 1125, 13548, 6381, 1217, 21825, 1119, 31838, 1189, 3419, 1253, 1577, 1129, 24119, 1167, 6711, 1125, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 181, 6871, 6218, 1238, 2927, 1352, 1176, 17229, 21825, 1119, 1333, 1299, 1189, 29542, 1906, 9918, 11488, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 19529, 23982, 1227, 27636, 1167, 1125, 22535, 5519, 6759, 173, 5363, 175, 17636, 7364, 5825, 2093, 5449, 1591, 10558, 1110, 6759, 173, 5363, 175, 17636, 1298, 13935, 1836, 2335, 5359, 5526, 24116, 1125, 26341, 9102, 18857, 1460, 1125, 1518, 25875, 8156, 1186, 3141, 488, 124, 132, 129, 131, 8156, 1186, 21017, 5519, 6759, 173, 5363, 175, 17636, 114, 32001, 1424, 32000, 20036, 1720, 26905, 2564, 172, 21825, 1119, 31838, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 129, 131, 1188, 6280, 1128, 1333, 1186, 1192, 6759, 173, 5363, 175, 181, 3100, 1299, 1189, 6517, 10558, 1110, 6759, 173, 5363, 175, 17636, 7655, 1685, 1836, 1125, 15714, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 24962, 5341, 1167, 9245, 25538, 16738, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 5252, 1313, 1318, 4446, 1304, 1811, 1442, 1701, 1188, 6280, 1128, 31838, 1192, 6759, 173, 5363, 175, 17636, 16814, 6171, 6982, 2782, 15363, 1594, 19860, 26584, 26487, 1186, 9261, 1167, 1186, 8287, 11490, 1186, 488, 124, 132, 131, 126, 119, 1527, 1299, 27679, 1188, 1158, 25163, 1304, 20726, 27779, 1167, 1125, 5934, 5161, 25163, 1125, 9261, 1197, 4972, 1541, 1188, 1518, 25875, 23994, 9102, 18857, 7165, 6982, 2782, 15363, 1594, 19860, 1469, 6216, 119, 1527, 1110, 13551, 1561, 9245, 1186, 4083, 1980, 20726, 5427, 120, 18857, 10558, 1317, 15350, 1125, 1606, 1518, 7464, 1132, 13917, 10226, 1524, 2290, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 17636, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 8217, 1318, 3968, 2936, 1145, 1879, 4192, 1188, 26341, 1125, 9261, 1197, 4972, 1541, 1125, 31805, 5277, 1197, 11733, 1304, 29640, 1186, 488, 124, 132, 132, 123, 120, 124, 132, 132, 125, 1167, 1110, 15363, 1189, 11622, 1128, 1186, 9261, 1167, 8287, 2035, 23480, 2750, 2782, 27314, 1561, 21203, 1606, 4897, 5595, 1125, 8093, 1313, 1207, 10581, 1741, 30233, 153, 180, 142, 192, 17353, 7581, 26479, 1120, 1524, 1186, 488, 124, 132, 132, 126, 121, 6982, 1594, 5464, 1313, 1594, 3293, 23082, 2726, 6389, 6759, 173, 5363, 175, 17636, 1186, 488, 124, 132, 132, 129, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 15363, 1189, 10413, 1188, 15714, 4403, 5519, 6759, 173, 5363, 175, 181, 3100, 2585, 1527, 9900, 2757, 121, 488, 15624, 488, 127, 2578, 488, 125, 123, 124, 123, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 12497, 120, 3376, 1836, 1571, 4445, 4578, 1457, 1548, 488, 125, 132, 2584, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 18640, 13787, 12456, 1125, 1158, 1270, 1369, 1125, 4972, 1390, 3685, 1214, 1167, 1197, 11733, 1197, 4972, 9484, 4862, 29582, 1527, 9900, 1856, 11538, 11246, 1256, 1318, 21203, 1125, 11622, 1128, 1167, 488, 127, 1181, 19992, 1125, 11622, 1128, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 27314, 1561, 21203, 1125, 11622, 1128, 1317, 4921, 1125, 9144, 1494, 1162, 1125, 15714, 4403, 1170, 488, 125, 130, 3141, 488, 125, 123, 123, 131, 1167, 1110, 15363, 1594, 19860, 1125, 28067, 1186, 11733, 6048, 1170, 488, 125, 126, 2749, 488, 125, 123, 123, 132, 121, 1768, 1299, 11041, 6711, 1227, 4921, 1125, 9144, 1494, 1162, 3735, 8676, 3614, 244, 8155, 488, 126, 2875, 488, 125, 123, 124, 128, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 1685, 1836, 1125, 21455, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 121, 1768, 1299, 6711, 1125, 1282, 15297, 10903, 1197, 1838, 7256, 2335, 1879, 4355, 28558, 1125, 4637, 15257, 1256, 1170, 17990, 9081, 1164, 3310, 1170, 1165, 2649, 1483, 1167, 1282, 31348, 13676, 1388, 3742, 8494, 16398, 12928, 1104, 5736, 16398, 1508, 2467, 1473, 11129, 1313, 1207, 24431, 9643, 8623, 20803, 24950, 1333, 1741, 1675, 12657, 1104, 4815, 6614, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 2356, 20803, 1125, 12373, 10184, 1125, 5028, 8552, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 19519, 1180, 2099, 1407, 1234, 23460, 1214, 11069, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 1557, 3649, 1167, 9159, 1125, 488, 126, 4661, 1175, 125, 13257, 1167, 1189, 8658, 1576, 1768, 1299, 1170, 15722, 3482, 1130, 1125, 13548, 6381, 1217, 21825, 1119, 31838, 1189, 3419, 1253, 1577, 1129, 24119, 1167, 6711, 1125, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 181, 6871, 6218, 1238, 2927, 1352, 1176, 17229, 21825, 1119, 1333, 1299, 1189, 29542, 1906, 9918, 11488, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 19529, 23982, 1227, 27636, 1167, 1125, 22535, 5519, 6759, 173, 5363, 175, 17636, 7364, 5825, 2093, 5449, 1591, 10558, 1110, 6759, 173, 5363, 175, 17636, 1298, 13935, 1836, 2335, 5359, 5526, 24116, 1125, 26341, 9102, 18857, 1460, 1125, 1518, 25875, 8156, 1186, 3141, 488, 124, 132, 129, 131, 8156, 1186, 21017, 5519, 6759, 173, 5363, 175, 17636, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 26905, 2564, 172, 21825, 1119, 31838, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 129, 131, 1188, 6280, 1128, 1333, 1186, 1192, 6759, 173, 5363, 175, 181, 3100, 1299, 1189, 6517, 10558, 1110, 6759, 173, 5363, 175, 17636, 7655, 1685, 1836, 1125, 15714, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 24962, 5341, 1167, 9245, 25538, 16738, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 5252, 1313, 1318, 4446, 1304, 1811, 1442, 1701, 1188, 6280, 1128, 31838, 1192, 6759, 173, 5363, 175, 17636, 16814, 6171, 6982, 2782, 15363, 1594, 19860, 26584, 26487, 1186, 9261, 1167, 1186, 8287, 11490, 1186, 488, 124, 132, 131, 126, 119, 1527, 1299, 27679, 1188, 1158, 25163, 1304, 20726, 27779, 1167, 1125, 5934, 5161, 25163, 1125, 9261, 1197, 4972, 1541, 1188, 1518, 25875, 23994, 9102, 18857, 7165, 6982, 2782, 15363, 1594, 19860, 1469, 6216, 119, 1527, 1110, 13551, 1561, 9245, 1186, 4083, 1980, 20726, 5427, 120, 18857, 10558, 1317, 15350, 1125, 1606, 1518, 7464, 1132, 13917, 10226, 1524, 2290, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 17636, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 8217, 1318, 3968, 2936, 1145, 1879, 4192, 1188, 26341, 1125, 9261, 1197, 4972, 1541, 1125, 31805, 5277, 1197, 11733, 1304, 29640, 1186, 488, 124, 132, 132, 123, 120, 124, 132, 132, 125, 1167, 1110, 15363, 1189, 11622, 1128, 1186, 9261, 1167, 8287, 2035, 23480, 2750, 2782, 27314, 1561, 21203, 1606, 4897, 5595, 1125, 8093, 1313, 1207, 10581, 1741, 30233, 153, 180, 142, 192, 17353, 7581, 26479, 1120, 1524, 1186, 488, 124, 132, 132, 126, 121, 6982, 1594, 5464, 1313, 1594, 3293, 23082, 2726, 6389, 6759, 173, 5363, 175, 17636, 1186, 488, 124, 132, 132, 129, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 15363, 1189, 10413, 1188, 15714, 4403, 5519, 6759, 173, 5363, 175, 181, 3100, 2585, 1527, 9900, 2757, 121, 488, 15624, 488, 127, 2578, 488, 125, 123, 124, 123, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 12497, 120, 3376, 1836, 1571, 4445, 4578, 1457, 1548, 488, 125, 132, 2584, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 18640, 13787, 12456, 1125, 1158, 1270, 1369, 1125, 4972, 1390, 3685, 1214, 1167, 1197, 11733, 1197, 4972, 9484, 4862, 29582, 1527, 9900, 1856, 11538, 11246, 1256, 1318, 21203, 1125, 11622, 1128, 1167, 488, 127, 1181, 19992, 1125, 11622, 1128, 13699, 26905, 2564, 172, 21825, 1119, 1333, 1110, 27314, 1561, 21203, 1125, 11622, 1128, 1317, 4921, 1125, 9144, 1494, 1162, 1125, 15714, 4403, 1170, 488, 125, 130, 3141, 488, 125, 123, 123, 131, 1167, 1110, 15363, 1594, 19860, 1125, 28067, 1186, 11733, 6048, 1170, 488, 125, 126, 2749, 488, 125, 123, 123, 132, 121, 1768, 1299, 11041, 6711, 1227, 4921, 1125, 9144, 1494, 1162, 3735, 8676, 3614, 244, 8155, 488, 126, 2875, 488, 125, 123, 124, 128, 119, 1204, 26905, 2564, 172, 21825, 1119, 1333, 1110, 1913, 12688, 1685, 1836, 1125, 21455, 23982, 1110, 6759, 173, 5363, 175, 17636, 4964, 1227, 27636, 1167, 1125, 22535, 121, 1768, 1299, 6711, 1125, 1282, 15297, 10903, 1197, 1838, 7256, 2335, 1879, 4355, 28558, 1125, 4637, 15257, 1256, 1170, 17990, 9081, 1164, 3310, 1170, 1165, 2649, 1483, 1167, 1282, 31348, 13676, 1388, 3742, 8494, 16398, 12928, 1104, 5736, 16398, 1508, 2467, 1473, 11129, 1313, 1207, 24431, 9643, 8623, 20803, 24950, 1333, 1741, 1675, 12657, 1104, 4815, 6614, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 2356, 20803, 1125, 12373, 10184, 1125, 5028, 8552, 2356, 20803, 24950, 1333, 1741, 1188, 10005, 1125, 4438, 19519, 1180, 2099, 1407, 1234, 23460, 1214, 11069, 21311, 26905, 2564, 172, 21825, 1119, 1333, 1299, 1557, 3649, 1167, 9159, 1125, 488, 126, 4661, 1175, 125, 13257, 1167, 1189, 8658, 1576, 1768, 1299, 1170, 15722, 3482, 1130, 1125, 13548, 6381, 1217, 21825, 1119, 31838, 1189, 3419, 1253, 1577, 1129, 24119, 1167, 6711, 1125, 31805, 5277, 1197, 11733, 5519, 6759, 173, 5363, 175, 181, 6871, 6218, 1238, 2927, 1352, 1176, 17229, 21825, 1119, 1333, 1299, 1189, 29542, 1906, 9918, 11488, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 19529, 23982, 1227, 27636, 1167, 1125, 22535, 5519, 6759, 173, 5363, 175, 17636, 7364, 5825, 2093, 5449, 1591, 10558, 1110, 6759, 173, 5363, 175, 17636, 1298, 13935, 1836, 2335, 5359, 5526, 24116, 1125, 26341, 9102, 18857, 1460, 1125, 1518, 25875, 8156, 1186, 3141, 488, 124, 132, 129, 131, 8156, 1186, 21017, 5519, 6759, 173, 5363, 175, 17636, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 24590, 179, 1575, 9103, 5879, 5252, 1186, 488, 125, 123, 123, 125, 1188, 26608, 1287, 12828, 194, 5567, 1299, 1189, 6018, 2077, 9721, 4655, 2765, 12749, 1318, 24925, 1348, 10999, 4855, 1188, 1909, 15417, 13845, 1538, 29558, 1173, 2449, 23726, 488, 8751, 7671, 7615, 1527, 6001, 5397, 2009, 4408, 1635, 1557, 1495, 1376, 1835, 1909, 488, 127, 2165, 1167, 1909, 488, 128, 2165, 14231, 12928, 1149, 179, 1299, 5252, 1186, 488, 125, 123, 123, 125, 1313, 1189, 18721, 1105, 6021, 1125, 26608, 1287, 12828, 194, 5567, 1125, 17902, 14609, 175, 1943, 1810, 1186, 11315, 121, 1768, 10907, 1186, 2738, 488, 125, 123, 123, 129, 1189, 3783, 5549, 2726, 23784, 1300, 1318, 4235, 1125, 488, 488, 129, 128, 19185, 2040, 1527, 1186, 4742, 9604, 488, 129, 128, 1186, 488, 130, 4898, 2130, 2368, 1219, 1112, 192, 19759, 2567, 1125, 2368, 3478, 1414, 5824, 1186, 29242, 10463, 12030, 1279, 29615, 192, 3502, 14199, 29626, 1199, 1571, 4643, 2518, 1125, 1158, 10513, 1318, 12304, 11894, 4655, 2794, 5323, 1196, 1170, 22705, 1186, 1170, 9005, 22355, 1790, 1657, 1548, 488, 129, 2798, 488, 125, 123, 123, 130, 119, 1527, 14759, 10848, 1188, 1318, 10096, 1125, 488, 488, 130, 123, 19185, 1835, 26608, 1287, 12828, 15049, 1167, 5863, 17180, 191, 1810, 1723, 1158, 10096, 1288, 1281, 23408, 12048, 8563, 1207, 12653, 1125, 17902, 14609, 175, 1943, 172, 1282, 17594, 24560, 1210, 1303, 1388, 3765, 21936, 5386, 1125, 28391, 1527, 1299, 24511, 1256, 488, 131, 123, 123, 1177, 2950, 1429, 1175, 124, 125, 10609, 116, 1215, 1561, 1127, 6909, 2648, 13056, 180, 1215, 1170, 11535, 2519, 17030, 1125, 5455, 2086, 25669, 4422, 180, 1222, 6631, 28952, 31674, 1909, 5504, 11991, 15417, 1304, 1274, 4349, 121, 1778, 1158, 3011, 1527, 6764, 1273, 3212, 1667, 1186, 24219, 1594, 8946, 12243, 1167, 1606, 11479, 4821, 1867, 5087, 19226, 9262, 1129, 3371, 8946, 2500, 1147, 1217, 1301, 1389, 1256, 1594, 19412, 1167, 1318, 2680, 18304, 1336, 1188, 1282, 6118, 4974, 2502, 7205, 1512, 1188, 1282, 15896, 12243, 1125, 1282, 25925, 1256, 1197, 6804, 7081, 8905, 8124, 1297, 4511, 1158, 3011, 2519, 29171, 8347, 1303, 1215, 1158, 10023, 25670, 1125, 11890, 179, 4741, 1357, 4047, 176, 1594, 8658, 1188, 1127, 15910, 1317, 3499, 1125, 1594, 1584, 8426, 1136, 1167, 7993, 1672, 6646, 11931, 1125, 2680, 18304, 3655, 1158, 5855, 3483, 2752, 25669, 4422, 180, 1222, 1141, 1186, 488, 125, 123, 123, 130, 119, 1167, 27736, 1203, 1326, 1256, 1197, 11931, 1125, 13117, 7471, 2576, 1129, 8426, 1136, 1299, 1215, 12168, 14844, 244, 11884, 4452, 1854, 244, 1125, 31824, 1317, 4452, 23459, 1227, 6018, 15601, 13536, 1205, 2596, 3350, 1158, 18997, 2551, 244, 1395, 1230, 4550, 11087, 25669, 4422, 180, 1222, 1141, 1299, 29564, 1693, 1322, 3356, 1186, 488, 125, 123, 123, 131, 121, 1653, 1408, 1125, 5444, 1847, 3683, 11890, 179, 1575, 21801, 2519, 30357, 1357, 2435, 5714, 8139, 1188, 14765, 1197, 15509, 1207, 1408, 23233, 17333, 1125, 1158, 3734, 121, 20419, 1188, 1158, 10513, 1207, 2882, 1125, 4272, 1125, 1282, 29634, 1288, 1282, 7373, 3389, 1258, 1188, 1685, 13639, 12973, 1909, 488, 124, 129, 2165, 7745, 1105, 3783, 1299, 3175, 1655, 1215, 1594, 5865, 9362, 11682, 7349, 1199, 2442, 3365, 1299, 9112, 1125, 31277, 1125, 8303, 30160, 1188, 1189, 7227, 2072, 2671, 186, 1159, 8370, 488, 125, 123, 124, 127, 119, 1527, 8295, 1318, 8099, 10385, 1186, 6436, 120, 1630, 1506, 1346, 1313, 1318, 17030, 1469, 2448, 1128, 8370, 488, 125, 123, 124, 131, 119, 14167, 1173, 1475, 2435, 5265, 1125, 8753, 1594, 23541, 9357, 1768, 1299, 3042, 11391, 244, 1125, 488, 124, 129, 2165, 1167, 14681, 1207, 6578, 19411, 1125, 488, 125, 123, 125, 127, 11488, 1167, 5474, 29496, 1186, 24354, 1943, 172, 8156, 1186, 488, 125, 123, 123, 125, 1530, 1276, 183, 4326, 4655, 1108, 9769, 24540, 1354, 114, 32001, 1424, 32000, 20036, 24623, 24590, 179, 1575, 9103, 5879, 5252, 1186, 488, 125, 123, 123, 125, 1188, 26608, 1287, 12828, 194, 5567, 1299, 1189, 6018, 2077, 9721, 4655, 2765, 12749, 1318, 24925, 1348, 10999, 4855, 1188, 1909, 15417, 13845, 1538, 29558, 1173, 2449, 23726, 488, 8751, 7671, 7615, 1527, 6001, 5397, 2009, 4408, 1635, 1557, 1495, 1376, 1835, 1909, 488, 127, 2165, 1167, 1909, 488, 128, 2165, 14231, 12928, 1149, 179, 1299, 5252, 1186, 488, 125, 123, 123, 125, 1313, 1189, 18721, 1105, 6021, 1125, 26608, 1287, 12828, 194, 5567, 1125, 17902, 14609, 175, 1943, 1810, 1186, 11315, 121, 1768, 10907, 1186, 2738, 488, 125, 123, 123, 129, 1189, 3783, 5549, 2726, 23784, 1300, 1318, 4235, 1125, 488, 488, 129, 128, 19185, 2040, 1527, 1186, 4742, 9604, 488, 129, 128, 1186, 488, 130, 4898, 2130, 2368, 1219, 1112, 192, 19759, 2567, 1125, 2368, 3478, 1414, 5824, 1186, 29242, 10463, 12030, 1279, 29615, 192, 3502, 14199, 29626, 1199, 1571, 4643, 2518, 1125, 1158, 10513, 1318, 12304, 11894, 4655, 2794, 5323, 1196, 1170, 22705, 1186, 1170, 9005, 22355, 1790, 1657, 1548, 488, 129, 2798, 488, 125, 123, 123, 130, 119, 1527, 14759, 10848, 1188, 1318, 10096, 1125, 488, 488, 130, 123, 19185, 1835, 26608, 1287, 12828, 15049, 1167, 5863, 17180, 191, 1810, 1723, 1158, 10096, 1288, 1281, 23408, 12048, 8563, 1207, 12653, 1125, 17902, 14609, 175, 1943, 172, 1282, 17594, 24560, 1210, 1303, 1388, 3765, 21936, 5386, 1125, 28391, 1527, 1299, 24511, 1256, 488, 131, 123, 123, 1177, 2950, 1429, 1175, 124, 125, 10609, 116, 1215, 1561, 1127, 6909, 2648, 13056, 180, 1215, 1170, 11535, 2519, 17030, 1125, 5455, 2086, 25669, 4422, 180, 1222, 6631, 28952, 31674, 1909, 5504, 11991, 15417, 1304, 1274, 4349, 121, 1778, 1158, 3011, 1527, 6764, 1273, 3212, 1667, 1186, 24219, 1594, 8946, 12243, 1167, 1606, 11479, 4821, 1867, 5087, 19226, 9262, 1129, 3371, 8946, 2500, 1147, 1217, 1301, 1389, 1256, 1594, 19412, 1167, 1318, 2680, 18304, 1336, 1188, 1282, 6118, 4974, 2502, 7205, 1512, 1188, 1282, 15896, 12243, 1125, 1282, 25925, 1256, 1197, 6804, 7081, 8905, 8124, 1297, 4511, 1158, 3011, 2519, 29171, 8347, 1303, 1215, 1158, 10023, 25670, 1125, 11890, 179, 4741, 1357, 4047, 176, 1594, 8658, 1188, 1127, 15910, 1317, 3499, 1125, 1594, 1584, 8426, 1136, 1167, 7993, 1672, 6646, 11931, 1125, 2680, 18304, 3655, 1158, 5855, 3483, 2752, 25669, 4422, 180, 1222, 1141, 1186, 488, 125, 123, 123, 130, 119, 1167, 27736, 1203, 1326, 1256, 1197, 11931, 1125, 13117, 7471, 2576, 1129, 8426, 1136, 1299, 1215, 12168, 14844, 244, 11884, 4452, 1854, 244, 1125, 31824, 1317, 4452, 23459, 1227, 6018, 15601, 13536, 1205, 2596, 3350, 1158, 18997, 2551, 244, 1395, 1230, 4550, 11087, 25669, 4422, 180, 1222, 1141, 1299, 29564, 1693, 1322, 3356, 1186, 488, 125, 123, 123, 131, 121, 1653, 1408, 1125, 5444, 1847, 3683, 11890, 179, 1575, 21801, 2519, 30357, 1357, 2435, 5714, 8139, 1188, 14765, 1197, 15509, 1207, 1408, 23233, 17333, 1125, 1158, 3734, 121, 20419, 1188, 1158, 10513, 1207, 2882, 1125, 4272, 1125, 1282, 29634, 1288, 1282, 7373, 3389, 1258, 1188, 1685, 13639, 12973, 1909, 488, 124, 129, 2165, 7745, 1105, 3783, 1299, 3175, 1655, 1215, 1594, 5865, 9362, 11682, 7349, 1199, 2442, 3365, 1299, 9112, 1125, 31277, 1125, 8303, 30160, 1188, 1189, 7227, 2072, 2671, 186, 1159, 8370, 488, 125, 123, 124, 127, 119, 1527, 8295, 1318, 8099, 10385, 1186, 6436, 120, 1630, 1506, 1346, 1313, 1318, 17030, 1469, 2448, 1128, 8370, 488, 125, 123, 124, 131, 119, 14167, 1173, 1475, 2435, 5265, 1125, 8753, 1594, 23541, 9357, 1768, 1299, 3042, 11391, 244, 1125, 488, 124, 129, 2165, 1167, 14681, 1207, 6578, 19411, 1125, 488, 125, 123, 125, 127, 11488, 1167, 5474, 29496, 1186, 24354, 1943, 172, 8156, 1186, 488, 125, 123, 123, 125, 1530, 1276, 183, 4326, 4655, 1108, 9769, 24540, 1354, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 24590, 179, 1575, 9103, 5879, 5252, 1186, 488, 125, 123, 123, 125, 1188, 26608, 1287, 12828, 194, 5567, 1299, 1189, 6018, 2077, 9721, 4655, 2765, 12749, 1318, 24925, 1348, 10999, 4855, 1188, 1909, 15417, 13845, 1538, 29558, 1173, 2449, 23726, 488, 8751, 7671, 7615, 1527, 6001, 5397, 2009, 4408, 1635, 1557, 1495, 1376, 1835, 1909, 488, 127, 2165, 1167, 1909, 488, 128, 2165, 14231, 12928, 1149, 179, 1299, 5252, 1186, 488, 125, 123, 123, 125, 1313, 1189, 18721, 1105, 6021, 1125, 26608, 1287, 12828, 194, 5567, 1125, 17902, 14609, 175, 1943, 1810, 1186, 11315, 121, 1768, 10907, 1186, 2738, 488, 125, 123, 123, 129, 1189, 3783, 5549, 2726, 23784, 1300, 1318, 4235, 1125, 488, 488, 129, 128, 19185, 2040, 1527, 1186, 4742, 9604, 488, 129, 128, 1186, 488, 130, 4898, 2130, 2368, 1219, 1112, 192, 19759, 2567, 1125, 2368, 3478, 1414, 5824, 1186, 29242, 10463, 12030, 1279, 29615, 192, 3502, 14199, 29626, 1199, 1571, 4643, 2518, 1125, 1158, 10513, 1318, 12304, 11894, 4655, 2794, 5323, 1196, 1170, 22705, 1186, 1170, 9005, 22355, 1790, 1657, 1548, 488, 129, 2798, 488, 125, 123, 123, 130, 119, 1527, 14759, 10848, 1188, 1318, 10096, 1125, 488, 488, 130, 123, 19185, 1835, 26608, 1287, 12828, 15049, 1167, 5863, 17180, 191, 1810, 1723, 1158, 10096, 1288, 1281, 23408, 12048, 8563, 1207, 12653, 1125, 17902, 14609, 175, 1943, 172, 1282, 17594, 24560, 1210, 1303, 1388, 3765, 21936, 5386, 1125, 28391, 1527, 1299, 24511, 1256, 488, 131, 123, 123, 1177, 2950, 1429, 1175, 124, 125, 10609, 116, 1215, 1561, 1127, 6909, 2648, 13056, 180, 1215, 1170, 11535, 2519, 17030, 1125, 5455, 2086, 25669, 4422, 180, 1222, 6631, 28952, 31674, 1909, 5504, 11991, 15417, 1304, 1274, 4349, 121, 1778, 1158, 3011, 1527, 6764, 1273, 3212, 1667, 1186, 24219, 1594, 8946, 12243, 1167, 1606, 11479, 4821, 1867, 5087, 19226, 9262, 1129, 3371, 8946, 2500, 1147, 1217, 1301, 1389, 1256, 1594, 19412, 1167, 1318, 2680, 18304, 1336, 1188, 1282, 6118, 4974, 2502, 7205, 1512, 1188, 1282, 15896, 12243, 1125, 1282, 25925, 1256, 1197, 6804, 7081, 8905, 8124, 1297, 4511, 1158, 3011, 2519, 29171, 8347, 1303, 1215, 1158, 10023, 25670, 1125, 11890, 179, 4741, 1357, 4047, 176, 1594, 8658, 1188, 1127, 15910, 1317, 3499, 1125, 1594, 1584, 8426, 1136, 1167, 7993, 1672, 6646, 11931, 1125, 2680, 18304, 3655, 1158, 5855, 3483, 2752, 25669, 4422, 180, 1222, 1141, 1186, 488, 125, 123, 123, 130, 119, 1167, 27736, 1203, 1326, 1256, 1197, 11931, 1125, 13117, 7471, 2576, 1129, 8426, 1136, 1299, 1215, 12168, 14844, 244, 11884, 4452, 1854, 244, 1125, 31824, 1317, 4452, 23459, 1227, 6018, 15601, 13536, 1205, 2596, 3350, 1158, 18997, 2551, 244, 1395, 1230, 4550, 11087, 25669, 4422, 180, 1222, 1141, 1299, 29564, 1693, 1322, 3356, 1186, 488, 125, 123, 123, 131, 121, 1653, 1408, 1125, 5444, 1847, 3683, 11890, 179, 1575, 21801, 2519, 30357, 1357, 2435, 5714, 8139, 1188, 14765, 1197, 15509, 1207, 1408, 23233, 17333, 1125, 1158, 3734, 121, 20419, 1188, 1158, 10513, 1207, 2882, 1125, 4272, 1125, 1282, 29634, 1288, 1282, 7373, 3389, 1258, 1188, 1685, 13639, 12973, 1909, 488, 124, 129, 2165, 7745, 1105, 3783, 1299, 3175, 1655, 1215, 1594, 5865, 9362, 11682, 7349, 1199, 2442, 3365, 1299, 9112, 1125, 31277, 1125, 8303, 30160, 1188, 1189, 7227, 2072, 2671, 186, 1159, 8370, 488, 125, 123, 124, 127, 119, 1527, 8295, 1318, 8099, 10385, 1186, 6436, 120, 1630, 1506, 1346, 1313, 1318, 17030, 1469, 2448, 1128, 8370, 488, 125, 123, 124, 131, 119, 14167, 1173, 1475, 2435, 5265, 1125, 8753, 1594, 23541, 9357, 1768, 1299, 3042, 11391, 244, 1125, 488, 124, 129, 2165, 1167, 14681, 1207, 6578, 19411, 1125, 488, 125, 123, 125, 127, 11488, 1167, 5474, 29496, 1186, 24354, 1943, 172, 8156, 1186, 488, 125, 123, 123, 125, 1530, 1276, 183, 4326, 4655, 1108, 9769, 24540, 1354, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 22066, 16663, 5200, 1414, 9084, 1299, 1170, 4764, 2335, 1143, 1243, 244, 5200, 1414, 9084, 119, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 29786, 7329, 1357, 13686, 1317, 4764, 2335, 10424, 10038, 1188, 1158, 6300, 2335, 15267, 3450, 1915, 1823, 12488, 1303, 1215, 1189, 23961, 2598, 4048, 1318, 23419, 1162, 1362, 1823, 14994, 23166, 1740, 4192, 121, 1951, 8976, 1215, 1318, 22492, 176, 1125, 1734, 1401, 1272, 22287, 1577, 3193, 3672, 1158, 3664, 1470, 3655, 3557, 1158, 3316, 1232, 1136, 10038, 1206, 1632, 3848, 2042, 1158, 1408, 8833, 1849, 1388, 3466, 28606, 11248, 1207, 1279, 1531, 5236, 7755, 1217, 2097, 10696, 1158, 9774, 1197, 1279, 1531, 5236, 13424, 1346, 1318, 9774, 31060, 1388, 4298, 18730, 2680, 2042, 1915, 1300, 3951, 1313, 2864, 1125, 488, 124, 2199, 1197, 2015, 4987, 1531, 1679, 7755, 1217, 1460, 1167, 3523, 488, 126, 2199, 1188, 488, 128, 2199, 1197, 3403, 5906, 11137, 5147, 1531, 5236, 15104, 12825, 1279, 1531, 5236, 2830, 28887, 1197, 28980, 8290, 2097, 25449, 16610, 2604, 4496, 3702, 1158, 1226, 4048, 1158, 7027, 1167, 22058, 5949, 1125, 1158, 1115, 1234, 10062, 1808, 3572, 1150, 1470, 2339, 1508, 4701, 9118, 1856, 1300, 1207, 13807, 1346, 1723, 7008, 1197, 3572, 1150, 1470, 2339, 1408, 28925, 2830, 1281, 10733, 1215, 4070, 1300, 1207, 14306, 19055, 1207, 3998, 30575, 1207, 3391, 3724, 1346, 1207, 2077, 3436, 1167, 1207, 1166, 4422, 1457, 9908, 2830, 4110, 1158, 4438, 7993, 1403, 7816, 26956, 1143, 1243, 244, 3157, 14430, 1457, 9908, 1508, 2205, 22222, 1300, 1170, 2669, 237, 1245, 8273, 1494, 2915, 1279, 1531, 5236, 2830, 2022, 19336, 2519, 1143, 1243, 244, 28799, 1819, 6196, 1318, 19062, 10038, 1206, 17847, 1548, 1606, 6844, 1125, 3984, 174, 1190, 3133, 1318, 11001, 15340, 1214, 5391, 1303, 11129, 3523, 1207, 20648, 244, 11212, 1915, 2445, 14868, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 2830, 3042, 8753, 11187, 1137, 6068, 26544, 4294, 1281, 30139, 7492, 1300, 1207, 10038, 1197, 25258, 9334, 1167, 2830, 1281, 10733, 2079, 1170, 4392, 121, 1778, 8675, 1995, 1189, 1253, 1403, 1105, 2382, 11245, 30681, 1281, 4438, 1300, 1158, 1850, 16832, 1527, 1915, 1281, 10733, 15545, 1111, 1456, 1575, 29227, 6725, 16663, 5200, 1414, 9084, 1299, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 3822, 18007, 1723, 2534, 1303, 1186, 28527, 18440, 1469, 1282, 1180, 5873, 1836, 121, 3450, 1915, 12634, 2123, 1278, 1197, 17355, 1153, 1734, 1401, 1193, 1314, 1250, 1408, 1362, 2864, 15985, 1221, 8062, 1388, 7062, 4058, 1628, 3015, 1282, 31328, 1162, 1197, 1279, 1531, 1180, 1346, 1238, 28606, 11248, 1143, 1243, 244, 5200, 1414, 3511, 1104, 10696, 3871, 1531, 1679, 1111, 1456, 8469, 1151, 10997, 11712, 1531, 1679, 1125, 1282, 1180, 1125, 1158, 1850, 6021, 116, 10696, 1271, 207, 1279, 1531, 1679, 1227, 24991, 1929, 3133, 1357, 2385, 15357, 1170, 13686, 5284, 1533, 1197, 3403, 16401, 1199, 1197, 10617, 1139, 1334, 2635, 1186, 13933, 13281, 1468, 10696, 1170, 488, 1338, 7994, 1183, 19985, 10696, 1170, 6749, 3213, 1143, 1722, 8480, 1125, 6300, 11248, 3871, 1531, 1679, 1994, 3513, 6452, 1366, 10696, 1143, 1722, 8480, 1215, 16663, 2137, 1355, 2124, 2097, 13699, 1132, 1217, 1429, 23166, 1740, 7786, 4732, 1217, 1214, 1197, 1279, 1531, 5236, 15104, 1362, 1279, 1531, 5236, 15104, 23166, 1740, 7786, 1175, 3244, 147, 1718, 154, 1243, 244, 3157, 196, 1883, 1808, 1143, 1243, 244, 3157, 196, 1883, 1508, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 1281, 3146, 1129, 1300, 1207, 6676, 190, 1197, 25258, 9334, 3817, 1282, 1180, 1110, 1913, 8345, 244, 1362, 1170, 1734, 1401, 1272, 8135, 2627, 1193, 11336, 2357, 2290, 16371, 1130, 3747, 2519, 1400, 1276, 1150, 14340, 26715, 4112, 1288, 1508, 1382, 3295, 13695, 17993, 1197, 1279, 1531, 5236, 2519, 4418, 16307, 26709, 11488, 1167, 20117, 2072, 1518, 1591, 1148, 3633, 1651, 1474, 12253, 1125, 20847, 4879, 20678, 16640, 1188, 1197, 2385, 14138, 6100, 1119, 1473, 1350, 1243, 244, 1544, 1350, 1243, 244, 1180, 1395, 3149, 1206, 1202, 1519, 196, 1531, 1679, 19155, 1132, 1217, 1214, 10038, 1206, 1632, 4732, 1217, 1214, 1125, 8823, 14307, 2032, 13642, 1836, 32001, 1424, 32000, 20036, 6725, 16663, 5200, 1414, 9084, 1299, 1170, 4764, 2335, 1143, 1243, 244, 5200, 1414, 9084, 119, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 29786, 7329, 1357, 13686, 1317, 4764, 2335, 10424, 10038, 1188, 1158, 6300, 2335, 15267, 3450, 1915, 1823, 12488, 1303, 1215, 1189, 23961, 2598, 4048, 1318, 23419, 1162, 1362, 1823, 14994, 23166, 1740, 4192, 121, 1951, 8976, 1215, 1318, 22492, 176, 1125, 1734, 1401, 1272, 22287, 1577, 3193, 3672, 1158, 3664, 1470, 3655, 3557, 1158, 3316, 1232, 1136, 10038, 1206, 1632, 3848, 2042, 1158, 1408, 8833, 1849, 1388, 3466, 28606, 11248, 1207, 1279, 1531, 5236, 7755, 1217, 2097, 10696, 1158, 9774, 1197, 1279, 1531, 5236, 13424, 1346, 1318, 9774, 31060, 1388, 4298, 18730, 2680, 2042, 1915, 1300, 3951, 1313, 2864, 1125, 488, 124, 2199, 1197, 2015, 4987, 1531, 1679, 7755, 1217, 1460, 1167, 3523, 488, 126, 2199, 1188, 488, 128, 2199, 1197, 3403, 5906, 11137, 5147, 1531, 5236, 15104, 12825, 1279, 1531, 5236, 2830, 28887, 1197, 28980, 8290, 2097, 25449, 16610, 2604, 4496, 3702, 1158, 1226, 4048, 1158, 7027, 1167, 22058, 5949, 1125, 1158, 1115, 1234, 10062, 1808, 3572, 1150, 1470, 2339, 1508, 4701, 9118, 1856, 1300, 1207, 13807, 1346, 1723, 7008, 1197, 3572, 1150, 1470, 2339, 1408, 28925, 2830, 1281, 10733, 1215, 4070, 1300, 1207, 14306, 19055, 1207, 3998, 30575, 1207, 3391, 3724, 1346, 1207, 2077, 3436, 1167, 1207, 1166, 4422, 1457, 9908, 2830, 4110, 1158, 4438, 7993, 1403, 7816, 26956, 1143, 1243, 244, 3157, 14430, 1457, 9908, 1508, 2205, 22222, 1300, 1170, 2669, 237, 1245, 8273, 1494, 2915, 1279, 1531, 5236, 2830, 2022, 19336, 2519, 1143, 1243, 244, 28799, 1819, 6196, 1318, 19062, 10038, 1206, 17847, 1548, 1606, 6844, 1125, 3984, 174, 1190, 3133, 1318, 11001, 15340, 1214, 5391, 1303, 11129, 3523, 1207, 20648, 244, 11212, 1915, 2445, 14868, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 2830, 3042, 8753, 11187, 1137, 6068, 26544, 4294, 1281, 30139, 7492, 1300, 1207, 10038, 1197, 25258, 9334, 1167, 2830, 1281, 10733, 2079, 1170, 4392, 121, 1778, 8675, 1995, 1189, 1253, 1403, 1105, 2382, 11245, 30681, 1281, 4438, 1300, 1158, 1850, 16832, 1527, 1915, 1281, 10733, 15545, 1111, 1456, 1575, 29227, 6725, 16663, 5200, 1414, 9084, 1299, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 3822, 18007, 1723, 2534, 1303, 1186, 28527, 18440, 1469, 1282, 1180, 5873, 1836, 121, 3450, 1915, 12634, 2123, 1278, 1197, 17355, 1153, 1734, 1401, 1193, 1314, 1250, 1408, 1362, 2864, 15985, 1221, 8062, 1388, 7062, 4058, 1628, 3015, 1282, 31328, 1162, 1197, 1279, 1531, 1180, 1346, 1238, 28606, 11248, 1143, 1243, 244, 5200, 1414, 3511, 1104, 10696, 3871, 1531, 1679, 1111, 1456, 8469, 1151, 10997, 11712, 1531, 1679, 1125, 1282, 1180, 1125, 1158, 1850, 6021, 116, 10696, 1271, 207, 1279, 1531, 1679, 1227, 24991, 1929, 3133, 1357, 2385, 15357, 1170, 13686, 5284, 1533, 1197, 3403, 16401, 1199, 1197, 10617, 1139, 1334, 2635, 1186, 13933, 13281, 1468, 10696, 1170, 488, 1338, 7994, 1183, 19985, 10696, 1170, 6749, 3213, 1143, 1722, 8480, 1125, 6300, 11248, 3871, 1531, 1679, 1994, 3513, 6452, 1366, 10696, 1143, 1722, 8480, 1215, 16663, 2137, 1355, 2124, 2097, 13699, 1132, 1217, 1429, 23166, 1740, 7786, 4732, 1217, 1214, 1197, 1279, 1531, 5236, 15104, 1362, 1279, 1531, 5236, 15104, 23166, 1740, 7786, 1175, 3244, 147, 1718, 154, 1243, 244, 3157, 196, 1883, 1808, 1143, 1243, 244, 3157, 196, 1883, 1508, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 1281, 3146, 1129, 1300, 1207, 6676, 190, 1197, 25258, 9334, 3817, 1282, 1180, 1110, 1913, 8345, 244, 1362, 1170, 1734, 1401, 1272, 8135, 2627, 1193, 11336, 2357, 2290, 16371, 1130, 3747, 2519, 1400, 1276, 1150, 14340, 26715, 4112, 1288, 1508, 1382, 3295, 13695, 17993, 1197, 1279, 1531, 5236, 2519, 4418, 16307, 26709, 11488, 1167, 20117, 2072, 1518, 1591, 1148, 3633, 1651, 1474, 12253, 1125, 20847, 4879, 20678, 16640, 1188, 1197, 2385, 14138, 6100, 1119, 1473, 1350, 1243, 244, 1544, 1350, 1243, 244, 1180, 1395, 3149, 1206, 1202, 1519, 196, 1531, 1679, 19155, 1132, 1217, 1214, 10038, 1206, 1632, 4732, 1217, 1214, 1125, 8823, 14307, 2032, 13642, 1836, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6725, 16663, 5200, 1414, 9084, 1299, 1170, 4764, 2335, 1143, 1243, 244, 5200, 1414, 9084, 119, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 29786, 7329, 1357, 13686, 1317, 4764, 2335, 10424, 10038, 1188, 1158, 6300, 2335, 15267, 3450, 1915, 1823, 12488, 1303, 1215, 1189, 23961, 2598, 4048, 1318, 23419, 1162, 1362, 1823, 14994, 23166, 1740, 4192, 121, 1951, 8976, 1215, 1318, 22492, 176, 1125, 1734, 1401, 1272, 22287, 1577, 3193, 3672, 1158, 3664, 1470, 3655, 3557, 1158, 3316, 1232, 1136, 10038, 1206, 1632, 3848, 2042, 1158, 1408, 8833, 1849, 1388, 3466, 28606, 11248, 1207, 1279, 1531, 5236, 7755, 1217, 2097, 10696, 1158, 9774, 1197, 1279, 1531, 5236, 13424, 1346, 1318, 9774, 31060, 1388, 4298, 18730, 2680, 2042, 1915, 1300, 3951, 1313, 2864, 1125, 488, 124, 2199, 1197, 2015, 4987, 1531, 1679, 7755, 1217, 1460, 1167, 3523, 488, 126, 2199, 1188, 488, 128, 2199, 1197, 3403, 5906, 11137, 5147, 1531, 5236, 15104, 12825, 1279, 1531, 5236, 2830, 28887, 1197, 28980, 8290, 2097, 25449, 16610, 2604, 4496, 3702, 1158, 1226, 4048, 1158, 7027, 1167, 22058, 5949, 1125, 1158, 1115, 1234, 10062, 1808, 3572, 1150, 1470, 2339, 1508, 4701, 9118, 1856, 1300, 1207, 13807, 1346, 1723, 7008, 1197, 3572, 1150, 1470, 2339, 1408, 28925, 2830, 1281, 10733, 1215, 4070, 1300, 1207, 14306, 19055, 1207, 3998, 30575, 1207, 3391, 3724, 1346, 1207, 2077, 3436, 1167, 1207, 1166, 4422, 1457, 9908, 2830, 4110, 1158, 4438, 7993, 1403, 7816, 26956, 1143, 1243, 244, 3157, 14430, 1457, 9908, 1508, 2205, 22222, 1300, 1170, 2669, 237, 1245, 8273, 1494, 2915, 1279, 1531, 5236, 2830, 2022, 19336, 2519, 1143, 1243, 244, 28799, 1819, 6196, 1318, 19062, 10038, 1206, 17847, 1548, 1606, 6844, 1125, 3984, 174, 1190, 3133, 1318, 11001, 15340, 1214, 5391, 1303, 11129, 3523, 1207, 20648, 244, 11212, 1915, 2445, 14868, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 2830, 3042, 8753, 11187, 1137, 6068, 26544, 4294, 1281, 30139, 7492, 1300, 1207, 10038, 1197, 25258, 9334, 1167, 2830, 1281, 10733, 2079, 1170, 4392, 121, 1778, 8675, 1995, 1189, 1253, 1403, 1105, 2382, 11245, 30681, 1281, 4438, 1300, 1158, 1850, 16832, 1527, 1915, 1281, 10733, 15545, 1111, 1456, 1575, 29227, 6725, 16663, 5200, 1414, 9084, 1299, 1318, 3572, 1150, 5929, 10038, 1206, 1632, 1906, 3822, 18007, 1723, 2534, 1303, 1186, 28527, 18440, 1469, 1282, 1180, 5873, 1836, 121, 3450, 1915, 12634, 2123, 1278, 1197, 17355, 1153, 1734, 1401, 1193, 1314, 1250, 1408, 1362, 2864, 15985, 1221, 8062, 1388, 7062, 4058, 1628, 3015, 1282, 31328, 1162, 1197, 1279, 1531, 1180, 1346, 1238, 28606, 11248, 1143, 1243, 244, 5200, 1414, 3511, 1104, 10696, 3871, 1531, 1679, 1111, 1456, 8469, 1151, 10997, 11712, 1531, 1679, 1125, 1282, 1180, 1125, 1158, 1850, 6021, 116, 10696, 1271, 207, 1279, 1531, 1679, 1227, 24991, 1929, 3133, 1357, 2385, 15357, 1170, 13686, 5284, 1533, 1197, 3403, 16401, 1199, 1197, 10617, 1139, 1334, 2635, 1186, 13933, 13281, 1468, 10696, 1170, 488, 1338, 7994, 1183, 19985, 10696, 1170, 6749, 3213, 1143, 1722, 8480, 1125, 6300, 11248, 3871, 1531, 1679, 1994, 3513, 6452, 1366, 10696, 1143, 1722, 8480, 1215, 16663, 2137, 1355, 2124, 2097, 13699, 1132, 1217, 1429, 23166, 1740, 7786, 4732, 1217, 1214, 1197, 1279, 1531, 5236, 15104, 1362, 1279, 1531, 5236, 15104, 23166, 1740, 7786, 1175, 3244, 147, 1718, 154, 1243, 244, 3157, 196, 1883, 1808, 1143, 1243, 244, 3157, 196, 1883, 1508, 1197, 1253, 1403, 1376, 10038, 1206, 1250, 1357, 1281, 3146, 1129, 1300, 1207, 6676, 190, 1197, 25258, 9334, 3817, 1282, 1180, 1110, 1913, 8345, 244, 1362, 1170, 1734, 1401, 1272, 8135, 2627, 1193, 11336, 2357, 2290, 16371, 1130, 3747, 2519, 1400, 1276, 1150, 14340, 26715, 4112, 1288, 1508, 1382, 3295, 13695, 17993, 1197, 1279, 1531, 5236, 2519, 4418, 16307, 26709, 11488, 1167, 20117, 2072, 1518, 1591, 1148, 3633, 1651, 1474, 12253, 1125, 20847, 4879, 20678, 16640, 1188, 1197, 2385, 14138, 6100, 1119, 1473, 1350, 1243, 244, 1544, 1350, 1243, 244, 1180, 1395, 3149, 1206, 1202, 1519, 196, 1531, 1679, 19155, 1132, 1217, 1214, 10038, 1206, 1632, 4732, 1217, 1214, 1125, 8823, 14307, 2032, 13642, 1836, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 22448, 1452, 1120, 1204, 2858, 172, 4698, 5281, 244, 2726, 488, 124, 132, 129, 132, 1703, 2986, 1299, 1189, 15644, 5485, 31891, 1167, 1950, 2376, 1354, 22256, 1517, 14231, 23339, 244, 1188, 13127, 2726, 1527, 22589, 1214, 1170, 3987, 1105, 1294, 1845, 2290, 1158, 4595, 1125, 6927, 1352, 1371, 6482, 1317, 20732, 4371, 1125, 7585, 1125, 13127, 3850, 4511, 5582, 2075, 5305, 1527, 14164, 3534, 1170, 3151, 1125, 1909, 18386, 1357, 2934, 2976, 3502, 1653, 488, 124, 132, 131, 131, 119, 1527, 14802, 31810, 2358, 3794, 1170, 3151, 6896, 1125, 19294, 20013, 9092, 3701, 1408, 7959, 18494, 1215, 2435, 1188, 8887, 9968, 121, 1768, 22589, 1214, 1170, 27410, 23374, 1188, 12547, 10070, 9102, 18857, 1460, 1125, 17477, 8370, 488, 124, 132, 132, 129, 119, 1527, 15458, 12148, 2694, 4951, 1318, 5625, 19174, 1186, 20205, 1960, 10590, 1162, 6744, 119, 3365, 9516, 1186, 488, 125, 123, 123, 125, 1188, 1158, 3385, 13900, 6749, 159, 1261, 1186, 23890, 1909, 5736, 1125, 8605, 29259, 1167, 1125, 28619, 4819, 1527, 17383, 1345, 6349, 1197, 18386, 1125, 3370, 1167, 1125, 15885, 1256, 1207, 23603, 1125, 3789, 1197, 3293, 4634, 1227, 1293, 130, 1167, 14802, 1469, 5999, 16640, 1189, 6896, 1357, 4615, 1314, 1170, 2678, 2519, 4685, 1188, 3862, 1125, 2802, 14719, 2335, 7883, 26171, 27606, 2335, 1185, 196, 1150, 12525, 9994, 2570, 6727, 2093, 1548, 25881, 1374, 1125, 16553, 1539, 172, 5160, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 130, 119, 1424, 1548, 23806, 1986, 1488, 2038, 10331, 5242, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 131, 119, 1424, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 1670, 1346, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 123, 119, 1424, 1548, 6818, 4080, 1227, 13787, 2397, 3923, 5597, 119, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 125, 119, 19155, 1153, 1460, 20546, 488, 125, 123, 123, 132, 1508, 21298, 1473, 1256, 1158, 3453, 2768, 1186, 1721, 1197, 6406, 1227, 2324, 14518, 1906, 3788, 5364, 1125, 6709, 7934, 28446, 3365, 1110, 1809, 5095, 1104, 1256, 1179, 26201, 1121, 1188, 17177, 1104, 10177, 1767, 1392, 2093, 2616, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 192, 1429, 106, 8276, 1197, 15644, 1925, 19101, 3807, 5519, 18337, 119, 488, 125, 123, 124, 124, 106, 5623, 8276, 22497, 1125, 1158, 4304, 1356, 1603, 2620, 8605, 3100, 3248, 4309, 1227, 18502, 488, 125, 123, 124, 124, 106, 2616, 1548, 25881, 1374, 1125, 16553, 1539, 23190, 106, 4444, 8765, 1317, 5623, 3248, 1125, 1158, 17279, 22497, 6653, 2724, 2198, 119, 488, 125, 123, 123, 130, 106, 4444, 8765, 1317, 8276, 22497, 2315, 120, 2834, 7607, 119, 3248, 1227, 18502, 488, 125, 123, 123, 130, 9323, 1167, 16828, 5825, 1424, 1424, 21993, 1306, 8335, 1287, 1439, 1306, 152, 147, 106, 20357, 11925, 27433, 1215, 1170, 2722, 26201, 1121, 2324, 3595, 1140, 3926, 7180, 1398, 4289, 1757, 6406, 1170, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 1260, 8637, 193, 3955, 21638, 1125, 10035, 8188, 2651, 7178, 3725, 13234, 3926, 1119, 1217, 1810, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 106, 11130, 1125, 12574, 12662, 7849, 1902, 22256, 7269, 16509, 1317, 6485, 1125, 5444, 12544, 5526, 31958, 1262, 22256, 1517, 8156, 1186, 488, 124, 132, 129, 132, 8156, 1188, 17477, 3229, 20073, 5427, 22256, 1517, 3198, 1482, 7213, 22256, 1517, 3229, 1434, 2376, 1354, 24832, 32001, 1424, 32000, 20036, 16213, 1452, 1120, 1204, 2858, 172, 4698, 5281, 244, 2726, 488, 124, 132, 129, 132, 1703, 2986, 1299, 1189, 15644, 5485, 31891, 1167, 1950, 2376, 1354, 22256, 1517, 14231, 23339, 244, 1188, 13127, 2726, 1527, 22589, 1214, 1170, 3987, 1105, 1294, 1845, 2290, 1158, 4595, 1125, 6927, 1352, 1371, 6482, 1317, 20732, 4371, 1125, 7585, 1125, 13127, 3850, 4511, 5582, 2075, 5305, 1527, 14164, 3534, 1170, 3151, 1125, 1909, 18386, 1357, 2934, 2976, 3502, 1653, 488, 124, 132, 131, 131, 119, 1527, 14802, 31810, 2358, 3794, 1170, 3151, 6896, 1125, 19294, 20013, 9092, 3701, 1408, 7959, 18494, 1215, 2435, 1188, 8887, 9968, 121, 1768, 22589, 1214, 1170, 27410, 23374, 1188, 12547, 10070, 9102, 18857, 1460, 1125, 17477, 8370, 488, 124, 132, 132, 129, 119, 1527, 15458, 12148, 2694, 4951, 1318, 5625, 19174, 1186, 20205, 1960, 10590, 1162, 6744, 119, 3365, 9516, 1186, 488, 125, 123, 123, 125, 1188, 1158, 3385, 13900, 6749, 159, 1261, 1186, 23890, 1909, 5736, 1125, 8605, 29259, 1167, 1125, 28619, 4819, 1527, 17383, 1345, 6349, 1197, 18386, 1125, 3370, 1167, 1125, 15885, 1256, 1207, 23603, 1125, 3789, 1197, 3293, 4634, 1227, 1293, 130, 1167, 14802, 1469, 5999, 16640, 1189, 6896, 1357, 4615, 1314, 1170, 2678, 2519, 4685, 1188, 3862, 1125, 2802, 14719, 2335, 7883, 26171, 27606, 2335, 1185, 196, 1150, 12525, 9994, 2570, 6727, 2093, 1548, 25881, 1374, 1125, 16553, 1539, 172, 5160, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 130, 119, 1424, 1548, 23806, 1986, 1488, 2038, 10331, 5242, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 131, 119, 1424, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 1670, 1346, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 123, 119, 1424, 1548, 6818, 4080, 1227, 13787, 2397, 3923, 5597, 119, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 125, 119, 19155, 1153, 1460, 20546, 488, 125, 123, 123, 132, 1508, 21298, 1473, 1256, 1158, 3453, 2768, 1186, 1721, 1197, 6406, 1227, 2324, 14518, 1906, 3788, 5364, 1125, 6709, 7934, 28446, 3365, 1110, 1809, 5095, 1104, 1256, 1179, 26201, 1121, 1188, 17177, 1104, 10177, 1767, 1392, 2093, 2616, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 192, 1429, 106, 8276, 1197, 15644, 1925, 19101, 3807, 5519, 18337, 119, 488, 125, 123, 124, 124, 106, 5623, 8276, 22497, 1125, 1158, 4304, 1356, 1603, 2620, 8605, 3100, 3248, 4309, 1227, 18502, 488, 125, 123, 124, 124, 106, 2616, 1548, 25881, 1374, 1125, 16553, 1539, 23190, 106, 4444, 8765, 1317, 5623, 3248, 1125, 1158, 17279, 22497, 6653, 2724, 2198, 119, 488, 125, 123, 123, 130, 106, 4444, 8765, 1317, 8276, 22497, 2315, 120, 2834, 7607, 119, 3248, 1227, 18502, 488, 125, 123, 123, 130, 9323, 1167, 16828, 5825, 1424, 1424, 21993, 1306, 8335, 1287, 1439, 1306, 152, 147, 106, 20357, 11925, 27433, 1215, 1170, 2722, 26201, 1121, 2324, 3595, 1140, 3926, 7180, 1398, 4289, 1757, 6406, 1170, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 1260, 8637, 193, 3955, 21638, 1125, 10035, 8188, 2651, 7178, 3725, 13234, 3926, 1119, 1217, 1810, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 106, 11130, 1125, 12574, 12662, 7849, 1902, 22256, 7269, 16509, 1317, 6485, 1125, 5444, 12544, 5526, 31958, 1262, 22256, 1517, 8156, 1186, 488, 124, 132, 129, 132, 8156, 1188, 17477, 3229, 20073, 5427, 22256, 1517, 3198, 1482, 7213, 22256, 1517, 3229, 1434, 2376, 1354, 24832, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16213, 1452, 1120, 1204, 2858, 172, 4698, 5281, 244, 2726, 488, 124, 132, 129, 132, 1703, 2986, 1299, 1189, 15644, 5485, 31891, 1167, 1950, 2376, 1354, 22256, 1517, 14231, 23339, 244, 1188, 13127, 2726, 1527, 22589, 1214, 1170, 3987, 1105, 1294, 1845, 2290, 1158, 4595, 1125, 6927, 1352, 1371, 6482, 1317, 20732, 4371, 1125, 7585, 1125, 13127, 3850, 4511, 5582, 2075, 5305, 1527, 14164, 3534, 1170, 3151, 1125, 1909, 18386, 1357, 2934, 2976, 3502, 1653, 488, 124, 132, 131, 131, 119, 1527, 14802, 31810, 2358, 3794, 1170, 3151, 6896, 1125, 19294, 20013, 9092, 3701, 1408, 7959, 18494, 1215, 2435, 1188, 8887, 9968, 121, 1768, 22589, 1214, 1170, 27410, 23374, 1188, 12547, 10070, 9102, 18857, 1460, 1125, 17477, 8370, 488, 124, 132, 132, 129, 119, 1527, 15458, 12148, 2694, 4951, 1318, 5625, 19174, 1186, 20205, 1960, 10590, 1162, 6744, 119, 3365, 9516, 1186, 488, 125, 123, 123, 125, 1188, 1158, 3385, 13900, 6749, 159, 1261, 1186, 23890, 1909, 5736, 1125, 8605, 29259, 1167, 1125, 28619, 4819, 1527, 17383, 1345, 6349, 1197, 18386, 1125, 3370, 1167, 1125, 15885, 1256, 1207, 23603, 1125, 3789, 1197, 3293, 4634, 1227, 1293, 130, 1167, 14802, 1469, 5999, 16640, 1189, 6896, 1357, 4615, 1314, 1170, 2678, 2519, 4685, 1188, 3862, 1125, 2802, 14719, 2335, 7883, 26171, 27606, 2335, 1185, 196, 1150, 12525, 9994, 2570, 6727, 2093, 1548, 25881, 1374, 1125, 16553, 1539, 172, 5160, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 130, 119, 1424, 1548, 23806, 1986, 1488, 2038, 10331, 5242, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 123, 131, 119, 1424, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 1670, 1346, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 123, 119, 1424, 1548, 6818, 4080, 1227, 13787, 2397, 3923, 5597, 119, 1306, 8335, 1287, 1439, 1306, 152, 15798, 488, 125, 123, 124, 125, 119, 19155, 1153, 1460, 20546, 488, 125, 123, 123, 132, 1508, 21298, 1473, 1256, 1158, 3453, 2768, 1186, 1721, 1197, 6406, 1227, 2324, 14518, 1906, 3788, 5364, 1125, 6709, 7934, 28446, 3365, 1110, 1809, 5095, 1104, 1256, 1179, 26201, 1121, 1188, 17177, 1104, 10177, 1767, 1392, 2093, 2616, 1643, 1266, 1487, 2240, 1227, 15069, 1125, 8994, 1291, 192, 1429, 106, 8276, 1197, 15644, 1925, 19101, 3807, 5519, 18337, 119, 488, 125, 123, 124, 124, 106, 5623, 8276, 22497, 1125, 1158, 4304, 1356, 1603, 2620, 8605, 3100, 3248, 4309, 1227, 18502, 488, 125, 123, 124, 124, 106, 2616, 1548, 25881, 1374, 1125, 16553, 1539, 23190, 106, 4444, 8765, 1317, 5623, 3248, 1125, 1158, 17279, 22497, 6653, 2724, 2198, 119, 488, 125, 123, 123, 130, 106, 4444, 8765, 1317, 8276, 22497, 2315, 120, 2834, 7607, 119, 3248, 1227, 18502, 488, 125, 123, 123, 130, 9323, 1167, 16828, 5825, 1424, 1424, 21993, 1306, 8335, 1287, 1439, 1306, 152, 147, 106, 20357, 11925, 27433, 1215, 1170, 2722, 26201, 1121, 2324, 3595, 1140, 3926, 7180, 1398, 4289, 1757, 6406, 1170, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 1260, 8637, 193, 3955, 21638, 1125, 10035, 8188, 2651, 7178, 3725, 13234, 3926, 1119, 1217, 1810, 488, 125, 123, 124, 125, 121, 123, 128, 121, 123, 129, 106, 11130, 1125, 12574, 12662, 7849, 1902, 22256, 7269, 16509, 1317, 6485, 1125, 5444, 12544, 5526, 31958, 1262, 22256, 1517, 8156, 1186, 488, 124, 132, 129, 132, 8156, 1188, 17477, 3229, 20073, 5427, 22256, 1517, 3198, 1482, 7213, 22256, 1517, 3229, 1434, 2376, 1354, 24832, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1415, 20486, 1175, 1117, 1373, 1186, 7577, 26640, 1257, 6353, 1139, 184, 2734, 1210, 116, 1299, 1189, 3418, 1111, 10557, 1354, 5235, 1150, 2144, 1469, 1158, 2315, 1167, 1207, 2605, 25603, 1889, 13913, 6482, 1189, 3366, 1736, 1416, 1687, 1167, 8922, 1215, 1266, 28686, 7358, 197, 1176, 1167, 9665, 1186, 488, 125, 123, 124, 125, 7745, 31751, 22066, 20969, 1281, 23408, 1186, 16869, 2620, 1186, 2749, 488, 125, 123, 124, 124, 121, 12932, 6346, 18225, 9356, 2397, 2100, 9032, 488, 125, 124, 5305, 1167, 1192, 250, 1210, 1810, 488, 125, 130, 5305, 5938, 1690, 1125, 1158, 1338, 20043, 1231, 13565, 1186, 1395, 4928, 1303, 1313, 1964, 14661, 6792, 24188, 2445, 1256, 2385, 14048, 1964, 12009, 1336, 1167, 7650, 2770, 1296, 7029, 1297, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 9032, 19442, 1186, 6556, 7253, 1107, 1370, 1281, 1557, 1374, 1469, 2399, 1167, 27911, 1188, 19104, 2585, 1527, 1152, 5210, 3350, 1527, 13416, 3144, 2445, 1309, 1561, 5271, 16722, 4665, 1170, 28783, 121, 1643, 10023, 1125, 2397, 2100, 173, 1170, 2024, 1117, 4364, 1192, 250, 1210, 1810, 29477, 18020, 1712, 1965, 1299, 1256, 1561, 1910, 1873, 1142, 3798, 3450, 14568, 5860, 1158, 3812, 1125, 1909, 1114, 21113, 1167, 1125, 1594, 2511, 3130, 17966, 9029, 197, 1810, 5846, 1199, 19964, 2038, 21961, 119, 18685, 2682, 1217, 244, 1125, 4766, 2114, 10491, 1192, 250, 13889, 1167, 13416, 3144, 1281, 1557, 1374, 1469, 2399, 7552, 250, 13889, 1167, 2397, 2100, 173, 23020, 6231, 1313, 1189, 3688, 3130, 237, 11497, 4054, 2040, 14765, 16779, 1216, 1123, 1158, 13938, 3212, 14974, 1299, 6394, 17847, 1548, 8328, 1125, 19660, 27999, 1197, 11092, 190, 1300, 1192, 250, 13889, 3143, 7230, 11051, 1767, 1170, 28783, 1167, 10633, 9963, 1186, 2264, 6204, 22132, 1995, 1192, 250, 13889, 1288, 7353, 1382, 18242, 1594, 1873, 7056, 3557, 5350, 1256, 1281, 11499, 1227, 4051, 1197, 12464, 1457, 2932, 4249, 1382, 1318, 4875, 25971, 2648, 6055, 1378, 2368, 2256, 1679, 1188, 1158, 8343, 27009, 11698, 1309, 9029, 197, 1810, 2079, 6640, 2399, 1281, 5253, 11904, 20116, 24914, 16636, 1125, 2435, 10100, 1657, 3450, 7353, 119, 1667, 1856, 2397, 2100, 9032, 4833, 1659, 8014, 1263, 1167, 1281, 2969, 1944, 30209, 1186, 25109, 1808, 2069, 18225, 9356, 1186, 12991, 2034, 1289, 1419, 10336, 2770, 2780, 10896, 3112, 9062, 1170, 9524, 2714, 1158, 8343, 5416, 7886, 1309, 8314, 1129, 1125, 1964, 10100, 1107, 2770, 7860, 13086, 1167, 2770, 8655, 1452, 1234, 14023, 3352, 4403, 1424, 20638, 1227, 3418, 1257, 1204, 1415, 20486, 106, 20638, 5379, 1257, 6353, 1139, 184, 2734, 1210, 106, 5294, 4521, 1257, 1266, 28686, 7358, 197, 1176, 106, 2941, 1538, 5844, 1257, 1266, 28686, 7358, 197, 1176, 1167, 25231, 184, 3333, 7346, 26193, 10272, 4134, 1257, 1233, 7197, 1187, 13548, 173, 1118, 9046, 1323, 12511, 3909, 106, 4304, 1272, 1257, 6280, 6625, 6507, 1173, 19616, 106, 6064, 1121, 1257, 10335, 8781, 1321, 2610, 1569, 106, 13511, 6862, 1257, 1671, 1180, 1154, 1204, 197, 2582, 14541, 6218, 1257, 9436, 6507, 1173, 5363, 175, 106, 20357, 1257, 5950, 180, 6353, 1128, 20911, 1670, 106, 19210, 1257, 3991, 13373, 1992, 1493, 6507, 1204, 183, 1118, 5778, 1167, 16855, 3046, 4691, 6507, 1174, 1118, 1256, 1173, 1795, 9203, 19210, 106, 9299, 14994, 1257, 16869, 2620, 6556, 2605, 25603, 1889, 13913, 6482, 1189, 1120, 106, 9313, 1277, 17482, 1257, 26640, 106, 25694, 1257, 1323, 4826, 106, 16010, 4094, 1257, 488, 125, 123, 124, 125, 106, 7922, 1125, 8969, 12625, 1186, 2315, 1257, 8571, 5754, 7329, 13776, 10995, 1424, 17530, 179, 1187, 6507, 4148, 5834, 1257, 1192, 250, 1210, 6472, 1266, 1157, 1204, 17940, 1118, 1257, 2397, 2100, 173, 106, 18145, 22108, 26064, 11885, 1257, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 173, 106, 20251, 3394, 2068, 1118, 180, 1257, 9029, 197, 1810, 1170, 15722, 1125, 2397, 2100, 9032, 21267, 5519, 250, 1210, 6472, 9029, 1331, 1306, 2218, 172, 1257, 1170, 1185, 8499, 106, 18543, 2194, 7358, 197, 1118, 10205, 1257, 1158, 10023, 1125, 2397, 2100, 173, 106, 1252, 1876, 180, 1204, 14655, 1712, 180, 1257, 1170, 9159, 1125, 2397, 2100, 173, 106, 7358, 1154, 1118, 250, 172, 1918, 197, 1118, 182, 1257, 1158, 1111, 2009, 1125, 2397, 2100, 173, 106, 3991, 13373, 1992, 1493, 4020, 3331, 17940, 1257, 1170, 2511, 3130, 1450, 5519, 250, 1210, 6472, 7980, 184, 1173, 11756, 1193, 179, 1257, 1158, 25605, 3482, 1567, 5519, 250, 1210, 6472, 2397, 2100, 173, 7358, 197, 1176, 1257, 1158, 1408, 6018, 25605, 5519, 250, 1210, 6472, 1266, 28686, 7358, 197, 1176, 1257, 16032, 12898, 2038, 27930, 1839, 1126, 106, 1248, 19128, 13089, 1349, 1257, 1252, 1128, 16018, 1318, 11454, 1277, 5519, 250, 1210, 6472, 5950, 180, 6507, 7238, 1470, 1257, 1233, 1120, 12781, 1189, 11454, 1277, 5519, 250, 13889, 13776, 1267, 1109, 7683, 1424, 30322, 25081, 26640, 1317, 9461, 4578, 5519, 173, 1118, 1222, 16872, 180, 488, 125, 123, 124, 125, 106, 30322, 3418, 1317, 9461, 1227, 9452, 14064, 1262, 1125, 5620, 195, 1121, 488, 125, 123, 124, 126, 7364, 5825, 28912, 6417, 1111, 10557, 1354, 9665, 1186, 488, 125, 123, 124, 125, 15089, 2720, 9665, 1186, 488, 125, 123, 124, 125, 15089, 27325, 1111, 10557, 1354, 15089, 27325, 2720, 15089, 9943, 2038, 15089, 1300, 1170, 18989, 26640, 15089, 1300, 1282, 30795, 15089, 8922, 1215, 1266, 28686, 7358, 197, 1176, 15089, 21937, 1678, 15804, 32001, 1424, 32000, 20036, 1720, 1415, 20486, 1175, 1117, 1373, 1186, 7577, 26640, 1257, 6353, 1139, 184, 2734, 1210, 116, 1299, 1189, 3418, 1111, 10557, 1354, 5235, 1150, 2144, 1469, 1158, 2315, 1167, 1207, 2605, 25603, 1889, 13913, 6482, 1189, 3366, 1736, 1416, 1687, 1167, 8922, 1215, 1266, 28686, 7358, 197, 1176, 1167, 9665, 1186, 488, 125, 123, 124, 125, 7745, 31751, 22066, 20969, 1281, 23408, 1186, 16869, 2620, 1186, 2749, 488, 125, 123, 124, 124, 121, 12932, 6346, 18225, 9356, 2397, 2100, 9032, 488, 125, 124, 5305, 1167, 1192, 250, 1210, 1810, 488, 125, 130, 5305, 5938, 1690, 1125, 1158, 1338, 20043, 1231, 13565, 1186, 1395, 4928, 1303, 1313, 1964, 14661, 6792, 24188, 2445, 1256, 2385, 14048, 1964, 12009, 1336, 1167, 7650, 2770, 1296, 7029, 1297, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 9032, 19442, 1186, 6556, 7253, 1107, 1370, 1281, 1557, 1374, 1469, 2399, 1167, 27911, 1188, 19104, 2585, 1527, 1152, 5210, 3350, 1527, 13416, 3144, 2445, 1309, 1561, 5271, 16722, 4665, 1170, 28783, 121, 1643, 10023, 1125, 2397, 2100, 173, 1170, 2024, 1117, 4364, 1192, 250, 1210, 1810, 29477, 18020, 1712, 1965, 1299, 1256, 1561, 1910, 1873, 1142, 3798, 3450, 14568, 5860, 1158, 3812, 1125, 1909, 1114, 21113, 1167, 1125, 1594, 2511, 3130, 17966, 9029, 197, 1810, 5846, 1199, 19964, 2038, 21961, 119, 18685, 2682, 1217, 244, 1125, 4766, 2114, 10491, 1192, 250, 13889, 1167, 13416, 3144, 1281, 1557, 1374, 1469, 2399, 7552, 250, 13889, 1167, 2397, 2100, 173, 23020, 6231, 1313, 1189, 3688, 3130, 237, 11497, 4054, 2040, 14765, 16779, 1216, 1123, 1158, 13938, 3212, 14974, 1299, 6394, 17847, 1548, 8328, 1125, 19660, 27999, 1197, 11092, 190, 1300, 1192, 250, 13889, 3143, 7230, 11051, 1767, 1170, 28783, 1167, 10633, 9963, 1186, 2264, 6204, 22132, 1995, 1192, 250, 13889, 1288, 7353, 1382, 18242, 1594, 1873, 7056, 3557, 5350, 1256, 1281, 11499, 1227, 4051, 1197, 12464, 1457, 2932, 4249, 1382, 1318, 4875, 25971, 2648, 6055, 1378, 2368, 2256, 1679, 1188, 1158, 8343, 27009, 11698, 1309, 9029, 197, 1810, 2079, 6640, 2399, 1281, 5253, 11904, 20116, 24914, 16636, 1125, 2435, 10100, 1657, 3450, 7353, 119, 1667, 1856, 2397, 2100, 9032, 4833, 1659, 8014, 1263, 1167, 1281, 2969, 1944, 30209, 1186, 25109, 1808, 2069, 18225, 9356, 1186, 12991, 2034, 1289, 1419, 10336, 2770, 2780, 10896, 3112, 9062, 1170, 9524, 2714, 1158, 8343, 5416, 7886, 1309, 8314, 1129, 1125, 1964, 10100, 1107, 2770, 7860, 13086, 1167, 2770, 8655, 1452, 1234, 14023, 3352, 4403, 1424, 20638, 1227, 3418, 1257, 1204, 1415, 20486, 106, 20638, 5379, 1257, 6353, 1139, 184, 2734, 1210, 106, 5294, 4521, 1257, 1266, 28686, 7358, 197, 1176, 106, 2941, 1538, 5844, 1257, 1266, 28686, 7358, 197, 1176, 1167, 25231, 184, 3333, 7346, 26193, 10272, 4134, 1257, 1233, 7197, 1187, 13548, 173, 1118, 9046, 1323, 12511, 3909, 106, 4304, 1272, 1257, 6280, 6625, 6507, 1173, 19616, 106, 6064, 1121, 1257, 10335, 8781, 1321, 2610, 1569, 106, 13511, 6862, 1257, 1671, 1180, 1154, 1204, 197, 2582, 14541, 6218, 1257, 9436, 6507, 1173, 5363, 175, 106, 20357, 1257, 5950, 180, 6353, 1128, 20911, 1670, 106, 19210, 1257, 3991, 13373, 1992, 1493, 6507, 1204, 183, 1118, 5778, 1167, 16855, 3046, 4691, 6507, 1174, 1118, 1256, 1173, 1795, 9203, 19210, 106, 9299, 14994, 1257, 16869, 2620, 6556, 2605, 25603, 1889, 13913, 6482, 1189, 1120, 106, 9313, 1277, 17482, 1257, 26640, 106, 25694, 1257, 1323, 4826, 106, 16010, 4094, 1257, 488, 125, 123, 124, 125, 106, 7922, 1125, 8969, 12625, 1186, 2315, 1257, 8571, 5754, 7329, 13776, 10995, 1424, 17530, 179, 1187, 6507, 4148, 5834, 1257, 1192, 250, 1210, 6472, 1266, 1157, 1204, 17940, 1118, 1257, 2397, 2100, 173, 106, 18145, 22108, 26064, 11885, 1257, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 173, 106, 20251, 3394, 2068, 1118, 180, 1257, 9029, 197, 1810, 1170, 15722, 1125, 2397, 2100, 9032, 21267, 5519, 250, 1210, 6472, 9029, 1331, 1306, 2218, 172, 1257, 1170, 1185, 8499, 106, 18543, 2194, 7358, 197, 1118, 10205, 1257, 1158, 10023, 1125, 2397, 2100, 173, 106, 1252, 1876, 180, 1204, 14655, 1712, 180, 1257, 1170, 9159, 1125, 2397, 2100, 173, 106, 7358, 1154, 1118, 250, 172, 1918, 197, 1118, 182, 1257, 1158, 1111, 2009, 1125, 2397, 2100, 173, 106, 3991, 13373, 1992, 1493, 4020, 3331, 17940, 1257, 1170, 2511, 3130, 1450, 5519, 250, 1210, 6472, 7980, 184, 1173, 11756, 1193, 179, 1257, 1158, 25605, 3482, 1567, 5519, 250, 1210, 6472, 2397, 2100, 173, 7358, 197, 1176, 1257, 1158, 1408, 6018, 25605, 5519, 250, 1210, 6472, 1266, 28686, 7358, 197, 1176, 1257, 16032, 12898, 2038, 27930, 1839, 1126, 106, 1248, 19128, 13089, 1349, 1257, 1252, 1128, 16018, 1318, 11454, 1277, 5519, 250, 1210, 6472, 5950, 180, 6507, 7238, 1470, 1257, 1233, 1120, 12781, 1189, 11454, 1277, 5519, 250, 13889, 13776, 1267, 1109, 7683, 1424, 30322, 25081, 26640, 1317, 9461, 4578, 5519, 173, 1118, 1222, 16872, 180, 488, 125, 123, 124, 125, 106, 30322, 3418, 1317, 9461, 1227, 9452, 14064, 1262, 1125, 5620, 195, 1121, 488, 125, 123, 124, 126, 7364, 5825, 28912, 6417, 1111, 10557, 1354, 9665, 1186, 488, 125, 123, 124, 125, 15089, 2720, 9665, 1186, 488, 125, 123, 124, 125, 15089, 27325, 1111, 10557, 1354, 15089, 27325, 2720, 15089, 9943, 2038, 15089, 1300, 1170, 18989, 26640, 15089, 1300, 1282, 30795, 15089, 8922, 1215, 1266, 28686, 7358, 197, 1176, 15089, 21937, 1678, 15804, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 1415, 20486, 1175, 1117, 1373, 1186, 7577, 26640, 1257, 6353, 1139, 184, 2734, 1210, 116, 1299, 1189, 3418, 1111, 10557, 1354, 5235, 1150, 2144, 1469, 1158, 2315, 1167, 1207, 2605, 25603, 1889, 13913, 6482, 1189, 3366, 1736, 1416, 1687, 1167, 8922, 1215, 1266, 28686, 7358, 197, 1176, 1167, 9665, 1186, 488, 125, 123, 124, 125, 7745, 31751, 22066, 20969, 1281, 23408, 1186, 16869, 2620, 1186, 2749, 488, 125, 123, 124, 124, 121, 12932, 6346, 18225, 9356, 2397, 2100, 9032, 488, 125, 124, 5305, 1167, 1192, 250, 1210, 1810, 488, 125, 130, 5305, 5938, 1690, 1125, 1158, 1338, 20043, 1231, 13565, 1186, 1395, 4928, 1303, 1313, 1964, 14661, 6792, 24188, 2445, 1256, 2385, 14048, 1964, 12009, 1336, 1167, 7650, 2770, 1296, 7029, 1297, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 9032, 19442, 1186, 6556, 7253, 1107, 1370, 1281, 1557, 1374, 1469, 2399, 1167, 27911, 1188, 19104, 2585, 1527, 1152, 5210, 3350, 1527, 13416, 3144, 2445, 1309, 1561, 5271, 16722, 4665, 1170, 28783, 121, 1643, 10023, 1125, 2397, 2100, 173, 1170, 2024, 1117, 4364, 1192, 250, 1210, 1810, 29477, 18020, 1712, 1965, 1299, 1256, 1561, 1910, 1873, 1142, 3798, 3450, 14568, 5860, 1158, 3812, 1125, 1909, 1114, 21113, 1167, 1125, 1594, 2511, 3130, 17966, 9029, 197, 1810, 5846, 1199, 19964, 2038, 21961, 119, 18685, 2682, 1217, 244, 1125, 4766, 2114, 10491, 1192, 250, 13889, 1167, 13416, 3144, 1281, 1557, 1374, 1469, 2399, 7552, 250, 13889, 1167, 2397, 2100, 173, 23020, 6231, 1313, 1189, 3688, 3130, 237, 11497, 4054, 2040, 14765, 16779, 1216, 1123, 1158, 13938, 3212, 14974, 1299, 6394, 17847, 1548, 8328, 1125, 19660, 27999, 1197, 11092, 190, 1300, 1192, 250, 13889, 3143, 7230, 11051, 1767, 1170, 28783, 1167, 10633, 9963, 1186, 2264, 6204, 22132, 1995, 1192, 250, 13889, 1288, 7353, 1382, 18242, 1594, 1873, 7056, 3557, 5350, 1256, 1281, 11499, 1227, 4051, 1197, 12464, 1457, 2932, 4249, 1382, 1318, 4875, 25971, 2648, 6055, 1378, 2368, 2256, 1679, 1188, 1158, 8343, 27009, 11698, 1309, 9029, 197, 1810, 2079, 6640, 2399, 1281, 5253, 11904, 20116, 24914, 16636, 1125, 2435, 10100, 1657, 3450, 7353, 119, 1667, 1856, 2397, 2100, 9032, 4833, 1659, 8014, 1263, 1167, 1281, 2969, 1944, 30209, 1186, 25109, 1808, 2069, 18225, 9356, 1186, 12991, 2034, 1289, 1419, 10336, 2770, 2780, 10896, 3112, 9062, 1170, 9524, 2714, 1158, 8343, 5416, 7886, 1309, 8314, 1129, 1125, 1964, 10100, 1107, 2770, 7860, 13086, 1167, 2770, 8655, 1452, 1234, 14023, 3352, 4403, 1424, 20638, 1227, 3418, 1257, 1204, 1415, 20486, 106, 20638, 5379, 1257, 6353, 1139, 184, 2734, 1210, 106, 5294, 4521, 1257, 1266, 28686, 7358, 197, 1176, 106, 2941, 1538, 5844, 1257, 1266, 28686, 7358, 197, 1176, 1167, 25231, 184, 3333, 7346, 26193, 10272, 4134, 1257, 1233, 7197, 1187, 13548, 173, 1118, 9046, 1323, 12511, 3909, 106, 4304, 1272, 1257, 6280, 6625, 6507, 1173, 19616, 106, 6064, 1121, 1257, 10335, 8781, 1321, 2610, 1569, 106, 13511, 6862, 1257, 1671, 1180, 1154, 1204, 197, 2582, 14541, 6218, 1257, 9436, 6507, 1173, 5363, 175, 106, 20357, 1257, 5950, 180, 6353, 1128, 20911, 1670, 106, 19210, 1257, 3991, 13373, 1992, 1493, 6507, 1204, 183, 1118, 5778, 1167, 16855, 3046, 4691, 6507, 1174, 1118, 1256, 1173, 1795, 9203, 19210, 106, 9299, 14994, 1257, 16869, 2620, 6556, 2605, 25603, 1889, 13913, 6482, 1189, 1120, 106, 9313, 1277, 17482, 1257, 26640, 106, 25694, 1257, 1323, 4826, 106, 16010, 4094, 1257, 488, 125, 123, 124, 125, 106, 7922, 1125, 8969, 12625, 1186, 2315, 1257, 8571, 5754, 7329, 13776, 10995, 1424, 17530, 179, 1187, 6507, 4148, 5834, 1257, 1192, 250, 1210, 6472, 1266, 1157, 1204, 17940, 1118, 1257, 2397, 2100, 173, 106, 18145, 22108, 26064, 11885, 1257, 6279, 179, 22910, 1170, 8655, 1452, 244, 1125, 2397, 2100, 173, 106, 20251, 3394, 2068, 1118, 180, 1257, 9029, 197, 1810, 1170, 15722, 1125, 2397, 2100, 9032, 21267, 5519, 250, 1210, 6472, 9029, 1331, 1306, 2218, 172, 1257, 1170, 1185, 8499, 106, 18543, 2194, 7358, 197, 1118, 10205, 1257, 1158, 10023, 1125, 2397, 2100, 173, 106, 1252, 1876, 180, 1204, 14655, 1712, 180, 1257, 1170, 9159, 1125, 2397, 2100, 173, 106, 7358, 1154, 1118, 250, 172, 1918, 197, 1118, 182, 1257, 1158, 1111, 2009, 1125, 2397, 2100, 173, 106, 3991, 13373, 1992, 1493, 4020, 3331, 17940, 1257, 1170, 2511, 3130, 1450, 5519, 250, 1210, 6472, 7980, 184, 1173, 11756, 1193, 179, 1257, 1158, 25605, 3482, 1567, 5519, 250, 1210, 6472, 2397, 2100, 173, 7358, 197, 1176, 1257, 1158, 1408, 6018, 25605, 5519, 250, 1210, 6472, 1266, 28686, 7358, 197, 1176, 1257, 16032, 12898, 2038, 27930, 1839, 1126, 106, 1248, 19128, 13089, 1349, 1257, 1252, 1128, 16018, 1318, 11454, 1277, 5519, 250, 1210, 6472, 5950, 180, 6507, 7238, 1470, 1257, 1233, 1120, 12781, 1189, 11454, 1277, 5519, 250, 13889, 13776, 1267, 1109, 7683, 1424, 30322, 25081, 26640, 1317, 9461, 4578, 5519, 173, 1118, 1222, 16872, 180, 488, 125, 123, 124, 125, 106, 30322, 3418, 1317, 9461, 1227, 9452, 14064, 1262, 1125, 5620, 195, 1121, 488, 125, 123, 124, 126, 7364, 5825, 28912, 6417, 1111, 10557, 1354, 9665, 1186, 488, 125, 123, 124, 125, 15089, 2720, 9665, 1186, 488, 125, 123, 124, 125, 15089, 27325, 1111, 10557, 1354, 15089, 27325, 2720, 15089, 9943, 2038, 15089, 1300, 1170, 18989, 26640, 15089, 1300, 1282, 30795, 15089, 8922, 1215, 1266, 28686, 7358, 197, 1176, 15089, 21937, 1678, 15804, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 14564, 1815, 1109, 3261, 1783, 1108, 27876, 178, 1292, 24051, 1170, 488, 125, 125, 2738, 488, 124, 132, 131, 129, 1188, 27168, 8467, 2114, 22017, 3923, 1762, 9864, 116, 1299, 1189, 3035, 25559, 1136, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 1125, 1158, 15696, 22031, 1125, 21748, 25886, 4096, 13776, 4662, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1194, 149, 12590, 1188, 21455, 1227, 22017, 3923, 1762, 10302, 1109, 27876, 178, 1292, 1299, 1317, 7882, 2762, 245, 3134, 1215, 1207, 15989, 1126, 3750, 14609, 1569, 2621, 1317, 488, 125, 132, 176, 1125, 5266, 1186, 488, 125, 123, 123, 130, 1723, 1527, 1288, 12368, 1382, 1469, 1170, 5878, 121, 1768, 1299, 1215, 29967, 1125, 3631, 6317, 1256, 1207, 14596, 1227, 21748, 17098, 119, 1167, 1207, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1170, 4040, 6369, 1317, 24501, 3543, 1186, 488, 125, 123, 123, 131, 8273, 1246, 178, 1292, 1844, 1909, 28407, 1313, 1207, 13212, 1842, 1469, 1207, 21946, 1414, 3021, 190, 1170, 488, 125, 129, 2921, 488, 125, 123, 124, 124, 121, 1768, 2577, 14921, 1594, 3151, 5044, 7648, 1317, 1408, 4392, 4041, 1170, 488, 126, 123, 2921, 3691, 1317, 12208, 1136, 16423, 3985, 6388, 1197, 1222, 1259, 4285, 1125, 10221, 9467, 1457, 1768, 2577, 14921, 1594, 3151, 5044, 1125, 12516, 1313, 1207, 13212, 1842, 1170, 488, 125, 131, 3201, 6441, 1571, 18352, 1125, 1165, 1696, 1200, 1277, 173, 1347, 1197, 28971, 1312, 1125, 6284, 11374, 178, 2181, 27876, 178, 1292, 10554, 1561, 3453, 6586, 1469, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 126, 132, 1186, 488, 126, 129, 5737, 1256, 23914, 1810, 1469, 488, 125, 125, 17137, 7648, 1285, 1189, 12516, 1167, 10924, 4153, 2513, 1297, 1768, 1281, 2191, 1366, 1186, 18767, 31742, 8507, 1257, 1188, 1561, 5860, 7751, 21364, 1317, 5946, 2333, 1313, 1158, 29041, 1125, 3754, 5629, 1357, 4992, 1679, 1207, 21946, 1414, 3021, 190, 1571, 1233, 6828, 1201, 1125, 7829, 194, 1334, 1347, 1965, 1527, 2577, 14921, 1189, 4077, 1357, 1844, 1557, 3393, 2069, 4153, 1313, 1170, 16934, 26234, 2209, 1835, 1207, 2069, 14596, 7552, 1276, 1126, 3750, 14609, 1569, 2621, 2359, 488, 132, 2584, 488, 125, 123, 124, 124, 119, 1207, 21946, 1414, 3021, 190, 22521, 1129, 27876, 178, 1292, 1167, 1207, 12208, 1392, 2143, 27704, 1321, 1124, 23959, 7129, 1107, 1167, 21878, 7212, 1571, 15989, 1126, 3750, 14609, 1569, 2621, 1186, 5464, 1227, 12208, 1136, 2143, 1477, 1107, 11539, 193, 1121, 29921, 1292, 1167, 1227, 12208, 1136, 1185, 1334, 2021, 17170, 1205, 1233, 1312, 12788, 121, 1653, 488, 125, 123, 124, 125, 119, 27876, 178, 1292, 24844, 488, 126, 131, 5737, 1197, 1192, 1361, 1167, 2577, 14921, 1256, 1859, 125, 129, 132, 1469, 1189, 12516, 1167, 10924, 4153, 3519, 13699, 2298, 1125, 2482, 4524, 2359, 488, 124, 131, 2584, 488, 125, 123, 124, 125, 119, 25036, 2621, 9385, 1450, 27876, 178, 1292, 1571, 1204, 2298, 1125, 2482, 4524, 2714, 1170, 10952, 1125, 8483, 1663, 1933, 177, 1857, 1918, 1389, 121, 1768, 24844, 488, 125, 126, 20825, 1469, 1207, 1204, 2298, 1186, 488, 125, 123, 124, 126, 1723, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 123, 1125, 8468, 1317, 5946, 2333, 1388, 2439, 178, 1785, 1125, 10221, 15486, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 126, 119, 1207, 1204, 2298, 1125, 2482, 4524, 22521, 1129, 27876, 178, 1292, 1571, 6188, 1785, 1125, 10221, 15486, 2714, 1518, 2847, 4172, 14720, 1189, 3035, 25559, 1136, 1197, 26185, 1813, 8330, 13916, 1768, 20235, 488, 125, 123, 124, 126, 1469, 488, 127, 12516, 1285, 488, 124, 129, 4153, 3519, 1167, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 124, 124, 1186, 488, 130, 126, 5737, 3227, 1473, 1317, 3983, 1256, 1207, 1204, 2298, 1167, 1207, 9467, 1297, 1653, 488, 125, 123, 124, 127, 119, 1207, 6188, 1785, 1282, 2366, 1129, 1313, 488, 124, 123, 129, 20825, 1167, 1527, 1878, 1130, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 128, 123, 1186, 488, 125, 132, 126, 29409, 1317, 5946, 11205, 1469, 488, 128, 29017, 1167, 488, 125, 124, 4153, 2513, 1297, 1768, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 131, 1186, 488, 128, 128, 20825, 3227, 1234, 1256, 1207, 6188, 1785, 1186, 488, 125, 123, 124, 128, 6649, 1331, 1220, 1125, 1165, 8990, 1265, 2359, 488, 125, 2584, 488, 125, 123, 124, 128, 119, 1207, 6188, 1785, 9385, 7085, 27876, 178, 1292, 1571, 4993, 1220, 1125, 1165, 8990, 1265, 1186, 18032, 2519, 8126, 24019, 11488, 1167, 16828, 5825, 5383, 4137, 1125, 10302, 1109, 27876, 178, 1292, 1300, 1170, 1865, 1197, 1200, 1205, 1813, 13212, 1842, 1125, 21748, 121, 23646, 1125, 10302, 1109, 27876, 178, 1292, 1300, 10613, 3891, 120, 13242, 121, 29496, 1186, 2738, 488, 124, 132, 131, 129, 1266, 3400, 1188, 27168, 19524, 14165, 1129, 11873, 116, 1321, 12590, 8403, 1125, 21748, 1321, 12590, 1197, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1321, 12590, 1197, 15989, 1126, 3750, 14609, 1569, 2621, 1321, 12590, 1197, 1204, 2298, 1125, 2482, 4524, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 12412, 172, 11965, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 1321, 12590, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 7584, 25559, 1136, 1197, 26185, 1813, 13212, 1842, 1125, 21748, 1321, 12590, 1125, 21748, 1197, 17047, 174, 1889, 1227, 22017, 11873, 1321, 12590, 1197, 3032, 1104, 1125, 5308, 191, 13402, 32001, 1424, 32000, 20036, 1505, 1815, 1109, 3261, 1783, 1108, 27876, 178, 1292, 24051, 1170, 488, 125, 125, 2738, 488, 124, 132, 131, 129, 1188, 27168, 8467, 2114, 22017, 3923, 1762, 9864, 116, 1299, 1189, 3035, 25559, 1136, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 1125, 1158, 15696, 22031, 1125, 21748, 25886, 4096, 13776, 4662, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1194, 149, 12590, 1188, 21455, 1227, 22017, 3923, 1762, 10302, 1109, 27876, 178, 1292, 1299, 1317, 7882, 2762, 245, 3134, 1215, 1207, 15989, 1126, 3750, 14609, 1569, 2621, 1317, 488, 125, 132, 176, 1125, 5266, 1186, 488, 125, 123, 123, 130, 1723, 1527, 1288, 12368, 1382, 1469, 1170, 5878, 121, 1768, 1299, 1215, 29967, 1125, 3631, 6317, 1256, 1207, 14596, 1227, 21748, 17098, 119, 1167, 1207, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1170, 4040, 6369, 1317, 24501, 3543, 1186, 488, 125, 123, 123, 131, 8273, 1246, 178, 1292, 1844, 1909, 28407, 1313, 1207, 13212, 1842, 1469, 1207, 21946, 1414, 3021, 190, 1170, 488, 125, 129, 2921, 488, 125, 123, 124, 124, 121, 1768, 2577, 14921, 1594, 3151, 5044, 7648, 1317, 1408, 4392, 4041, 1170, 488, 126, 123, 2921, 3691, 1317, 12208, 1136, 16423, 3985, 6388, 1197, 1222, 1259, 4285, 1125, 10221, 9467, 1457, 1768, 2577, 14921, 1594, 3151, 5044, 1125, 12516, 1313, 1207, 13212, 1842, 1170, 488, 125, 131, 3201, 6441, 1571, 18352, 1125, 1165, 1696, 1200, 1277, 173, 1347, 1197, 28971, 1312, 1125, 6284, 11374, 178, 2181, 27876, 178, 1292, 10554, 1561, 3453, 6586, 1469, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 126, 132, 1186, 488, 126, 129, 5737, 1256, 23914, 1810, 1469, 488, 125, 125, 17137, 7648, 1285, 1189, 12516, 1167, 10924, 4153, 2513, 1297, 1768, 1281, 2191, 1366, 1186, 18767, 31742, 8507, 1257, 1188, 1561, 5860, 7751, 21364, 1317, 5946, 2333, 1313, 1158, 29041, 1125, 3754, 5629, 1357, 4992, 1679, 1207, 21946, 1414, 3021, 190, 1571, 1233, 6828, 1201, 1125, 7829, 194, 1334, 1347, 1965, 1527, 2577, 14921, 1189, 4077, 1357, 1844, 1557, 3393, 2069, 4153, 1313, 1170, 16934, 26234, 2209, 1835, 1207, 2069, 14596, 7552, 1276, 1126, 3750, 14609, 1569, 2621, 2359, 488, 132, 2584, 488, 125, 123, 124, 124, 119, 1207, 21946, 1414, 3021, 190, 22521, 1129, 27876, 178, 1292, 1167, 1207, 12208, 1392, 2143, 27704, 1321, 1124, 23959, 7129, 1107, 1167, 21878, 7212, 1571, 15989, 1126, 3750, 14609, 1569, 2621, 1186, 5464, 1227, 12208, 1136, 2143, 1477, 1107, 11539, 193, 1121, 29921, 1292, 1167, 1227, 12208, 1136, 1185, 1334, 2021, 17170, 1205, 1233, 1312, 12788, 121, 1653, 488, 125, 123, 124, 125, 119, 27876, 178, 1292, 24844, 488, 126, 131, 5737, 1197, 1192, 1361, 1167, 2577, 14921, 1256, 1859, 125, 129, 132, 1469, 1189, 12516, 1167, 10924, 4153, 3519, 13699, 2298, 1125, 2482, 4524, 2359, 488, 124, 131, 2584, 488, 125, 123, 124, 125, 119, 25036, 2621, 9385, 1450, 27876, 178, 1292, 1571, 1204, 2298, 1125, 2482, 4524, 2714, 1170, 10952, 1125, 8483, 1663, 1933, 177, 1857, 1918, 1389, 121, 1768, 24844, 488, 125, 126, 20825, 1469, 1207, 1204, 2298, 1186, 488, 125, 123, 124, 126, 1723, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 123, 1125, 8468, 1317, 5946, 2333, 1388, 2439, 178, 1785, 1125, 10221, 15486, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 126, 119, 1207, 1204, 2298, 1125, 2482, 4524, 22521, 1129, 27876, 178, 1292, 1571, 6188, 1785, 1125, 10221, 15486, 2714, 1518, 2847, 4172, 14720, 1189, 3035, 25559, 1136, 1197, 26185, 1813, 8330, 13916, 1768, 20235, 488, 125, 123, 124, 126, 1469, 488, 127, 12516, 1285, 488, 124, 129, 4153, 3519, 1167, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 124, 124, 1186, 488, 130, 126, 5737, 3227, 1473, 1317, 3983, 1256, 1207, 1204, 2298, 1167, 1207, 9467, 1297, 1653, 488, 125, 123, 124, 127, 119, 1207, 6188, 1785, 1282, 2366, 1129, 1313, 488, 124, 123, 129, 20825, 1167, 1527, 1878, 1130, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 128, 123, 1186, 488, 125, 132, 126, 29409, 1317, 5946, 11205, 1469, 488, 128, 29017, 1167, 488, 125, 124, 4153, 2513, 1297, 1768, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 131, 1186, 488, 128, 128, 20825, 3227, 1234, 1256, 1207, 6188, 1785, 1186, 488, 125, 123, 124, 128, 6649, 1331, 1220, 1125, 1165, 8990, 1265, 2359, 488, 125, 2584, 488, 125, 123, 124, 128, 119, 1207, 6188, 1785, 9385, 7085, 27876, 178, 1292, 1571, 4993, 1220, 1125, 1165, 8990, 1265, 1186, 18032, 2519, 8126, 24019, 11488, 1167, 16828, 5825, 5383, 4137, 1125, 10302, 1109, 27876, 178, 1292, 1300, 1170, 1865, 1197, 1200, 1205, 1813, 13212, 1842, 1125, 21748, 121, 23646, 1125, 10302, 1109, 27876, 178, 1292, 1300, 10613, 3891, 120, 13242, 121, 29496, 1186, 2738, 488, 124, 132, 131, 129, 1266, 3400, 1188, 27168, 19524, 14165, 1129, 11873, 116, 1321, 12590, 8403, 1125, 21748, 1321, 12590, 1197, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1321, 12590, 1197, 15989, 1126, 3750, 14609, 1569, 2621, 1321, 12590, 1197, 1204, 2298, 1125, 2482, 4524, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 12412, 172, 11965, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 1321, 12590, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 7584, 25559, 1136, 1197, 26185, 1813, 13212, 1842, 1125, 21748, 1321, 12590, 1125, 21748, 1197, 17047, 174, 1889, 1227, 22017, 11873, 1321, 12590, 1197, 3032, 1104, 1125, 5308, 191, 13402, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1505, 1815, 1109, 3261, 1783, 1108, 27876, 178, 1292, 24051, 1170, 488, 125, 125, 2738, 488, 124, 132, 131, 129, 1188, 27168, 8467, 2114, 22017, 3923, 1762, 9864, 116, 1299, 1189, 3035, 25559, 1136, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 1125, 1158, 15696, 22031, 1125, 21748, 25886, 4096, 13776, 4662, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1194, 149, 12590, 1188, 21455, 1227, 22017, 3923, 1762, 10302, 1109, 27876, 178, 1292, 1299, 1317, 7882, 2762, 245, 3134, 1215, 1207, 15989, 1126, 3750, 14609, 1569, 2621, 1317, 488, 125, 132, 176, 1125, 5266, 1186, 488, 125, 123, 123, 130, 1723, 1527, 1288, 12368, 1382, 1469, 1170, 5878, 121, 1768, 1299, 1215, 29967, 1125, 3631, 6317, 1256, 1207, 14596, 1227, 21748, 17098, 119, 1167, 1207, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1170, 4040, 6369, 1317, 24501, 3543, 1186, 488, 125, 123, 123, 131, 8273, 1246, 178, 1292, 1844, 1909, 28407, 1313, 1207, 13212, 1842, 1469, 1207, 21946, 1414, 3021, 190, 1170, 488, 125, 129, 2921, 488, 125, 123, 124, 124, 121, 1768, 2577, 14921, 1594, 3151, 5044, 7648, 1317, 1408, 4392, 4041, 1170, 488, 126, 123, 2921, 3691, 1317, 12208, 1136, 16423, 3985, 6388, 1197, 1222, 1259, 4285, 1125, 10221, 9467, 1457, 1768, 2577, 14921, 1594, 3151, 5044, 1125, 12516, 1313, 1207, 13212, 1842, 1170, 488, 125, 131, 3201, 6441, 1571, 18352, 1125, 1165, 1696, 1200, 1277, 173, 1347, 1197, 28971, 1312, 1125, 6284, 11374, 178, 2181, 27876, 178, 1292, 10554, 1561, 3453, 6586, 1469, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 126, 132, 1186, 488, 126, 129, 5737, 1256, 23914, 1810, 1469, 488, 125, 125, 17137, 7648, 1285, 1189, 12516, 1167, 10924, 4153, 2513, 1297, 1768, 1281, 2191, 1366, 1186, 18767, 31742, 8507, 1257, 1188, 1561, 5860, 7751, 21364, 1317, 5946, 2333, 1313, 1158, 29041, 1125, 3754, 5629, 1357, 4992, 1679, 1207, 21946, 1414, 3021, 190, 1571, 1233, 6828, 1201, 1125, 7829, 194, 1334, 1347, 1965, 1527, 2577, 14921, 1189, 4077, 1357, 1844, 1557, 3393, 2069, 4153, 1313, 1170, 16934, 26234, 2209, 1835, 1207, 2069, 14596, 7552, 1276, 1126, 3750, 14609, 1569, 2621, 2359, 488, 132, 2584, 488, 125, 123, 124, 124, 119, 1207, 21946, 1414, 3021, 190, 22521, 1129, 27876, 178, 1292, 1167, 1207, 12208, 1392, 2143, 27704, 1321, 1124, 23959, 7129, 1107, 1167, 21878, 7212, 1571, 15989, 1126, 3750, 14609, 1569, 2621, 1186, 5464, 1227, 12208, 1136, 2143, 1477, 1107, 11539, 193, 1121, 29921, 1292, 1167, 1227, 12208, 1136, 1185, 1334, 2021, 17170, 1205, 1233, 1312, 12788, 121, 1653, 488, 125, 123, 124, 125, 119, 27876, 178, 1292, 24844, 488, 126, 131, 5737, 1197, 1192, 1361, 1167, 2577, 14921, 1256, 1859, 125, 129, 132, 1469, 1189, 12516, 1167, 10924, 4153, 3519, 13699, 2298, 1125, 2482, 4524, 2359, 488, 124, 131, 2584, 488, 125, 123, 124, 125, 119, 25036, 2621, 9385, 1450, 27876, 178, 1292, 1571, 1204, 2298, 1125, 2482, 4524, 2714, 1170, 10952, 1125, 8483, 1663, 1933, 177, 1857, 1918, 1389, 121, 1768, 24844, 488, 125, 126, 20825, 1469, 1207, 1204, 2298, 1186, 488, 125, 123, 124, 126, 1723, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 123, 1125, 8468, 1317, 5946, 2333, 1388, 2439, 178, 1785, 1125, 10221, 15486, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 126, 119, 1207, 1204, 2298, 1125, 2482, 4524, 22521, 1129, 27876, 178, 1292, 1571, 6188, 1785, 1125, 10221, 15486, 2714, 1518, 2847, 4172, 14720, 1189, 3035, 25559, 1136, 1197, 26185, 1813, 8330, 13916, 1768, 20235, 488, 125, 123, 124, 126, 1469, 488, 127, 12516, 1285, 488, 124, 129, 4153, 3519, 1167, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 124, 124, 1186, 488, 130, 126, 5737, 3227, 1473, 1317, 3983, 1256, 1207, 1204, 2298, 1167, 1207, 9467, 1297, 1653, 488, 125, 123, 124, 127, 119, 1207, 6188, 1785, 1282, 2366, 1129, 1313, 488, 124, 123, 129, 20825, 1167, 1527, 1878, 1130, 1318, 8468, 1317, 5946, 2333, 1125, 1859, 125, 128, 123, 1186, 488, 125, 132, 126, 29409, 1317, 5946, 11205, 1469, 488, 128, 29017, 1167, 488, 125, 124, 4153, 2513, 1297, 1768, 1288, 2577, 14921, 1309, 1256, 1859, 124, 131, 131, 1186, 488, 128, 128, 20825, 3227, 1234, 1256, 1207, 6188, 1785, 1186, 488, 125, 123, 124, 128, 6649, 1331, 1220, 1125, 1165, 8990, 1265, 2359, 488, 125, 2584, 488, 125, 123, 124, 128, 119, 1207, 6188, 1785, 9385, 7085, 27876, 178, 1292, 1571, 4993, 1220, 1125, 1165, 8990, 1265, 1186, 18032, 2519, 8126, 24019, 11488, 1167, 16828, 5825, 5383, 4137, 1125, 10302, 1109, 27876, 178, 1292, 1300, 1170, 1865, 1197, 1200, 1205, 1813, 13212, 1842, 1125, 21748, 121, 23646, 1125, 10302, 1109, 27876, 178, 1292, 1300, 10613, 3891, 120, 13242, 121, 29496, 1186, 2738, 488, 124, 132, 131, 129, 1266, 3400, 1188, 27168, 19524, 14165, 1129, 11873, 116, 1321, 12590, 8403, 1125, 21748, 1321, 12590, 1197, 21946, 1414, 3021, 190, 1125, 6389, 1164, 6336, 172, 1321, 12590, 1197, 15989, 1126, 3750, 14609, 1569, 2621, 1321, 12590, 1197, 1204, 2298, 1125, 2482, 4524, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 12412, 172, 11965, 1321, 12590, 1197, 6188, 1785, 1125, 10221, 15486, 1321, 12590, 1197, 4993, 1220, 1125, 1165, 8990, 1265, 7584, 25559, 1136, 1197, 26185, 1813, 13212, 1842, 1125, 21748, 1321, 12590, 1125, 21748, 1197, 17047, 174, 1889, 1227, 22017, 11873, 1321, 12590, 1197, 3032, 1104, 1125, 5308, 191, 13402, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 26328, 29827, 4046, 3513, 1299, 1189, 3418, 1166, 1510, 182, 1510, 1298, 8922, 1215, 1772, 1635, 1539, 3100, 9665, 1186, 488, 124, 132, 132, 132, 7745, 31751, 2093, 22507, 1189, 12311, 1125, 13366, 16647, 2511, 1123, 4046, 3513, 119, 1189, 4170, 2978, 242, 2114, 1357, 1281, 14277, 12573, 10190, 1469, 1252, 3100, 1318, 5715, 5921, 121, 4046, 3513, 8478, 1594, 2658, 1835, 19543, 1167, 1207, 29364, 1376, 1125, 26492, 1309, 1594, 9159, 2435, 3221, 1304, 9914, 192, 1657, 1198, 9928, 1309, 1252, 3100, 2907, 1205, 6407, 28106, 1439, 1455, 1265, 1182, 3603, 9900, 2797, 1158, 7185, 1256, 6825, 1561, 10023, 1167, 1288, 1915, 1382, 7970, 1188, 6577, 6132, 12073, 30787, 1167, 4046, 3513, 1275, 2724, 11959, 6231, 1313, 1207, 20102, 1125, 13366, 16647, 119, 3557, 1256, 18314, 1158, 2492, 22374, 1571, 1423, 177, 2636, 1167, 8014, 1263, 2519, 2492, 2130, 8110, 14023, 3352, 4403, 1424, 20638, 1257, 14941, 4046, 3513, 106, 20638, 5379, 1257, 488, 967, 27283, 1142, 192, 2054, 180, 1475, 1260, 5294, 4521, 1257, 1772, 1635, 1539, 26193, 2941, 1538, 5844, 1257, 1772, 1635, 1539, 26193, 20357, 1257, 1539, 192, 1306, 1149, 3926, 1122, 3513, 1167, 17921, 1325, 2194, 10720, 192, 23923, 9299, 14994, 1257, 13366, 16647, 119, 14506, 106, 24178, 1257, 12511, 5166, 1323, 488, 124, 119, 131, 128, 133, 124, 1323, 20787, 3176, 31624, 1323, 488, 126, 128, 8680, 106, 8399, 1112, 1257, 1222, 3599, 106, 25694, 1257, 488, 124, 124, 131, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 132, 132, 7933, 1510, 16647, 116, 1323, 488, 124, 132, 132, 132, 31105, 1718, 143, 10995, 1424, 1671, 180, 192, 1671, 14210, 3046, 1149, 1257, 14941, 4046, 3513, 106, 26829, 1325, 1558, 4338, 1119, 1257, 1252, 26193, 26829, 3509, 1130, 31137, 1257, 1204, 3100, 1158, 5715, 25605, 1125, 1252, 26193, 4603, 3176, 1200, 1334, 1257, 6480, 106, 1539, 192, 6503, 5680, 1334, 1257, 1643, 2511, 2010, 1450, 106, 29770, 1200, 1558, 1257, 8933, 1293, 23194, 4622, 2562, 1539, 1475, 1257, 16972, 18100, 1922, 3679, 2602, 1312, 1257, 6411, 1517, 1378, 1922, 3679, 24281, 1416, 6897, 5702, 106, 18211, 3315, 1317, 6005, 3418, 1167, 8276, 1125, 1158, 6742, 4595, 16051, 18885, 4720, 1325, 1510, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 1293, 5275, 6930, 488, 125, 123, 123, 123, 1155, 8276, 1227, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 29128, 1167, 6005, 23661, 3425, 2726, 2391, 1227, 20851, 11283, 1206, 12483, 9461, 488, 125, 123, 123, 123, 1155, 1266, 7775, 1430, 1256, 1170, 3248, 1227, 6005, 21076, 6713, 1109, 5950, 4338, 1128, 1496, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 1149, 1496, 6742, 29158, 6742, 15038, 6574, 29827, 4046, 3513, 119, 11925, 27433, 1215, 10170, 1518, 4830, 1496, 6005, 18507, 6005, 23661, 1167, 6005, 2423, 6315, 31852, 6700, 18438, 1200, 1334, 1496, 2391, 1197, 13366, 16647, 12483, 16908, 488, 125, 123, 123, 123, 1155, 8276, 1227, 3418, 1227, 24341, 2391, 1197, 13366, 16647, 12483, 11996, 3750, 13309, 16908, 488, 125, 123, 123, 123, 1155, 18211, 3315, 1317, 21086, 1273, 1379, 16834, 1167, 8276, 1227, 6005, 3631, 25081, 6574, 244, 1273, 1379, 24019, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 14404, 2162, 186, 488, 125, 123, 123, 123, 1388, 2439, 29806, 3330, 106, 14941, 4046, 3513, 7705, 1178, 1189, 11141, 1433, 1244, 3657, 1167, 12269, 1300, 1189, 15102, 3283, 1125, 13400, 1166, 1510, 13266, 1510, 4964, 1257, 1158, 27009, 1625, 1231, 1125, 488, 124, 132, 132, 130, 119, 5588, 1188, 4759, 1207, 8973, 2335, 27235, 1313, 17426, 1147, 13366, 16647, 1167, 3977, 2335, 27618, 1313, 1410, 8281, 1182, 23227, 9994, 2624, 5825, 106, 1424, 11996, 2635, 1165, 1314, 8381, 18514, 11996, 2635, 1306, 182, 3318, 1575, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 132, 132, 15089, 17911, 9665, 1186, 488, 124, 132, 132, 132, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 17911, 15089, 8922, 1215, 1772, 1635, 1539, 1119, 32001, 1424, 32000, 20036, 1489, 29827, 4046, 3513, 1299, 1189, 3418, 1166, 1510, 182, 1510, 1298, 8922, 1215, 1772, 1635, 1539, 3100, 9665, 1186, 488, 124, 132, 132, 132, 7745, 31751, 2093, 22507, 1189, 12311, 1125, 13366, 16647, 2511, 1123, 4046, 3513, 119, 1189, 4170, 2978, 242, 2114, 1357, 1281, 14277, 12573, 10190, 1469, 1252, 3100, 1318, 5715, 5921, 121, 4046, 3513, 8478, 1594, 2658, 1835, 19543, 1167, 1207, 29364, 1376, 1125, 26492, 1309, 1594, 9159, 2435, 3221, 1304, 9914, 192, 1657, 1198, 9928, 1309, 1252, 3100, 2907, 1205, 6407, 28106, 1439, 1455, 1265, 1182, 3603, 9900, 2797, 1158, 7185, 1256, 6825, 1561, 10023, 1167, 1288, 1915, 1382, 7970, 1188, 6577, 6132, 12073, 30787, 1167, 4046, 3513, 1275, 2724, 11959, 6231, 1313, 1207, 20102, 1125, 13366, 16647, 119, 3557, 1256, 18314, 1158, 2492, 22374, 1571, 1423, 177, 2636, 1167, 8014, 1263, 2519, 2492, 2130, 8110, 14023, 3352, 4403, 1424, 20638, 1257, 14941, 4046, 3513, 106, 20638, 5379, 1257, 488, 967, 27283, 1142, 192, 2054, 180, 1475, 1260, 5294, 4521, 1257, 1772, 1635, 1539, 26193, 2941, 1538, 5844, 1257, 1772, 1635, 1539, 26193, 20357, 1257, 1539, 192, 1306, 1149, 3926, 1122, 3513, 1167, 17921, 1325, 2194, 10720, 192, 23923, 9299, 14994, 1257, 13366, 16647, 119, 14506, 106, 24178, 1257, 12511, 5166, 1323, 488, 124, 119, 131, 128, 133, 124, 1323, 20787, 3176, 31624, 1323, 488, 126, 128, 8680, 106, 8399, 1112, 1257, 1222, 3599, 106, 25694, 1257, 488, 124, 124, 131, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 132, 132, 7933, 1510, 16647, 116, 1323, 488, 124, 132, 132, 132, 31105, 1718, 143, 10995, 1424, 1671, 180, 192, 1671, 14210, 3046, 1149, 1257, 14941, 4046, 3513, 106, 26829, 1325, 1558, 4338, 1119, 1257, 1252, 26193, 26829, 3509, 1130, 31137, 1257, 1204, 3100, 1158, 5715, 25605, 1125, 1252, 26193, 4603, 3176, 1200, 1334, 1257, 6480, 106, 1539, 192, 6503, 5680, 1334, 1257, 1643, 2511, 2010, 1450, 106, 29770, 1200, 1558, 1257, 8933, 1293, 23194, 4622, 2562, 1539, 1475, 1257, 16972, 18100, 1922, 3679, 2602, 1312, 1257, 6411, 1517, 1378, 1922, 3679, 24281, 1416, 6897, 5702, 106, 18211, 3315, 1317, 6005, 3418, 1167, 8276, 1125, 1158, 6742, 4595, 16051, 18885, 4720, 1325, 1510, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 1293, 5275, 6930, 488, 125, 123, 123, 123, 1155, 8276, 1227, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 29128, 1167, 6005, 23661, 3425, 2726, 2391, 1227, 20851, 11283, 1206, 12483, 9461, 488, 125, 123, 123, 123, 1155, 1266, 7775, 1430, 1256, 1170, 3248, 1227, 6005, 21076, 6713, 1109, 5950, 4338, 1128, 1496, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 1149, 1496, 6742, 29158, 6742, 15038, 6574, 29827, 4046, 3513, 119, 11925, 27433, 1215, 10170, 1518, 4830, 1496, 6005, 18507, 6005, 23661, 1167, 6005, 2423, 6315, 31852, 6700, 18438, 1200, 1334, 1496, 2391, 1197, 13366, 16647, 12483, 16908, 488, 125, 123, 123, 123, 1155, 8276, 1227, 3418, 1227, 24341, 2391, 1197, 13366, 16647, 12483, 11996, 3750, 13309, 16908, 488, 125, 123, 123, 123, 1155, 18211, 3315, 1317, 21086, 1273, 1379, 16834, 1167, 8276, 1227, 6005, 3631, 25081, 6574, 244, 1273, 1379, 24019, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 14404, 2162, 186, 488, 125, 123, 123, 123, 1388, 2439, 29806, 3330, 106, 14941, 4046, 3513, 7705, 1178, 1189, 11141, 1433, 1244, 3657, 1167, 12269, 1300, 1189, 15102, 3283, 1125, 13400, 1166, 1510, 13266, 1510, 4964, 1257, 1158, 27009, 1625, 1231, 1125, 488, 124, 132, 132, 130, 119, 5588, 1188, 4759, 1207, 8973, 2335, 27235, 1313, 17426, 1147, 13366, 16647, 1167, 3977, 2335, 27618, 1313, 1410, 8281, 1182, 23227, 9994, 2624, 5825, 106, 1424, 11996, 2635, 1165, 1314, 8381, 18514, 11996, 2635, 1306, 182, 3318, 1575, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 132, 132, 15089, 17911, 9665, 1186, 488, 124, 132, 132, 132, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 17911, 15089, 8922, 1215, 1772, 1635, 1539, 1119, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1489, 29827, 4046, 3513, 1299, 1189, 3418, 1166, 1510, 182, 1510, 1298, 8922, 1215, 1772, 1635, 1539, 3100, 9665, 1186, 488, 124, 132, 132, 132, 7745, 31751, 2093, 22507, 1189, 12311, 1125, 13366, 16647, 2511, 1123, 4046, 3513, 119, 1189, 4170, 2978, 242, 2114, 1357, 1281, 14277, 12573, 10190, 1469, 1252, 3100, 1318, 5715, 5921, 121, 4046, 3513, 8478, 1594, 2658, 1835, 19543, 1167, 1207, 29364, 1376, 1125, 26492, 1309, 1594, 9159, 2435, 3221, 1304, 9914, 192, 1657, 1198, 9928, 1309, 1252, 3100, 2907, 1205, 6407, 28106, 1439, 1455, 1265, 1182, 3603, 9900, 2797, 1158, 7185, 1256, 6825, 1561, 10023, 1167, 1288, 1915, 1382, 7970, 1188, 6577, 6132, 12073, 30787, 1167, 4046, 3513, 1275, 2724, 11959, 6231, 1313, 1207, 20102, 1125, 13366, 16647, 119, 3557, 1256, 18314, 1158, 2492, 22374, 1571, 1423, 177, 2636, 1167, 8014, 1263, 2519, 2492, 2130, 8110, 14023, 3352, 4403, 1424, 20638, 1257, 14941, 4046, 3513, 106, 20638, 5379, 1257, 488, 967, 27283, 1142, 192, 2054, 180, 1475, 1260, 5294, 4521, 1257, 1772, 1635, 1539, 26193, 2941, 1538, 5844, 1257, 1772, 1635, 1539, 26193, 20357, 1257, 1539, 192, 1306, 1149, 3926, 1122, 3513, 1167, 17921, 1325, 2194, 10720, 192, 23923, 9299, 14994, 1257, 13366, 16647, 119, 14506, 106, 24178, 1257, 12511, 5166, 1323, 488, 124, 119, 131, 128, 133, 124, 1323, 20787, 3176, 31624, 1323, 488, 126, 128, 8680, 106, 8399, 1112, 1257, 1222, 3599, 106, 25694, 1257, 488, 124, 124, 131, 4826, 106, 7922, 1125, 8969, 1257, 488, 124, 132, 132, 132, 7933, 1510, 16647, 116, 1323, 488, 124, 132, 132, 132, 31105, 1718, 143, 10995, 1424, 1671, 180, 192, 1671, 14210, 3046, 1149, 1257, 14941, 4046, 3513, 106, 26829, 1325, 1558, 4338, 1119, 1257, 1252, 26193, 26829, 3509, 1130, 31137, 1257, 1204, 3100, 1158, 5715, 25605, 1125, 1252, 26193, 4603, 3176, 1200, 1334, 1257, 6480, 106, 1539, 192, 6503, 5680, 1334, 1257, 1643, 2511, 2010, 1450, 106, 29770, 1200, 1558, 1257, 8933, 1293, 23194, 4622, 2562, 1539, 1475, 1257, 16972, 18100, 1922, 3679, 2602, 1312, 1257, 6411, 1517, 1378, 1922, 3679, 24281, 1416, 6897, 5702, 106, 18211, 3315, 1317, 6005, 3418, 1167, 8276, 1125, 1158, 6742, 4595, 16051, 18885, 4720, 1325, 1510, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 1293, 5275, 6930, 488, 125, 123, 123, 123, 1155, 8276, 1227, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 29128, 1167, 6005, 23661, 3425, 2726, 2391, 1227, 20851, 11283, 1206, 12483, 9461, 488, 125, 123, 123, 123, 1155, 1266, 7775, 1430, 1256, 1170, 3248, 1227, 6005, 21076, 6713, 1109, 5950, 4338, 1128, 1496, 6005, 10424, 19166, 1175, 164, 180, 192, 1671, 14210, 3046, 1149, 1496, 6742, 29158, 6742, 15038, 6574, 29827, 4046, 3513, 119, 11925, 27433, 1215, 10170, 1518, 4830, 1496, 6005, 18507, 6005, 23661, 1167, 6005, 2423, 6315, 31852, 6700, 18438, 1200, 1334, 1496, 2391, 1197, 13366, 16647, 12483, 16908, 488, 125, 123, 123, 123, 1155, 8276, 1227, 3418, 1227, 24341, 2391, 1197, 13366, 16647, 12483, 11996, 3750, 13309, 16908, 488, 125, 123, 123, 123, 1155, 18211, 3315, 1317, 21086, 1273, 1379, 16834, 1167, 8276, 1227, 6005, 3631, 25081, 6574, 244, 1273, 1379, 24019, 1496, 2391, 1227, 9461, 4578, 1227, 3418, 1125, 14404, 2162, 186, 488, 125, 123, 123, 123, 1388, 2439, 29806, 3330, 106, 14941, 4046, 3513, 7705, 1178, 1189, 11141, 1433, 1244, 3657, 1167, 12269, 1300, 1189, 15102, 3283, 1125, 13400, 1166, 1510, 13266, 1510, 4964, 1257, 1158, 27009, 1625, 1231, 1125, 488, 124, 132, 132, 130, 119, 5588, 1188, 4759, 1207, 8973, 2335, 27235, 1313, 17426, 1147, 13366, 16647, 1167, 3977, 2335, 27618, 1313, 1410, 8281, 1182, 23227, 9994, 2624, 5825, 106, 1424, 11996, 2635, 1165, 1314, 8381, 18514, 11996, 2635, 1306, 182, 3318, 1575, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 132, 132, 15089, 17911, 9665, 1186, 488, 124, 132, 132, 132, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 17911, 15089, 8922, 1215, 1772, 1635, 1539, 1119, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 5417, 196, 10341, 174, 5834, 24051, 1170, 488, 124, 124, 2921, 488, 124, 132, 131, 124, 1188, 2801, 116, 1299, 1189, 15601, 15173, 14045, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 1186, 488, 125, 123, 123, 124, 12258, 1110, 1844, 1909, 28407, 1188, 10600, 2165, 1313, 1170, 5878, 1125, 1594, 9159, 1545, 1214, 1712, 10341, 15484, 2036, 1768, 1110, 9524, 1585, 1313, 1158, 6964, 1197, 1323, 130, 126, 12137, 1167, 8135, 8946, 6968, 1188, 1282, 1749, 2521, 155, 1167, 1317, 5545, 1125, 1594, 5878, 7783, 142, 6707, 1442, 2305, 22672, 1227, 2854, 1186, 488, 125, 123, 123, 124, 119, 1204, 5417, 196, 1110, 4766, 1561, 11521, 24142, 1186, 488, 125, 123, 124, 127, 1388, 2951, 1390, 19119, 1188, 1561, 9245, 1125, 15601, 1125, 4392, 4041, 119, 1204, 5417, 196, 10341, 174, 5834, 27999, 1158, 2453, 1125, 25332, 5843, 29637, 1170, 4154, 1125, 1561, 9640, 12835, 1527, 1299, 18480, 1227, 2929, 18281, 1512, 1392, 16834, 1313, 6640, 1527, 1110, 7669, 3649, 1408, 1125, 488, 124, 126, 123, 25539, 1125, 4392, 4041, 2720, 1313, 1158, 9477, 1125, 6072, 1136, 1304, 7070, 6982, 1125, 6344, 30955, 1188, 31282, 6721, 28707, 1204, 5417, 196, 10341, 174, 5834, 1110, 1892, 1568, 2011, 244, 1440, 5188, 2929, 1313, 1189, 5509, 18281, 1512, 1392, 16834, 9665, 6534, 120, 125, 123, 124, 129, 1571, 16801, 8175, 155, 8732, 26361, 1424, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 124, 1175, 5522, 181, 4353, 28189, 116, 1257, 15953, 19495, 106, 11609, 1227, 2854, 488, 125, 123, 123, 123, 6574, 28951, 116, 1257, 488, 126, 2247, 106, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 127, 5867, 1569, 1118, 116, 1192, 6759, 173, 5363, 175, 17636, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 123, 1175, 2003, 27898, 10914, 116, 14512, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 123, 131, 6700, 1544, 116, 20375, 1424, 26389, 22572, 1215, 4924, 488, 125, 123, 123, 127, 7194, 3099, 16370, 116, 1257, 12497, 9037, 1916, 1231, 106, 26389, 1125, 2315, 1257, 15953, 19495, 1186, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 125, 123, 124, 127, 106, 11609, 1125, 2315, 133, 15953, 19495, 1186, 488, 124, 132, 132, 132, 119, 488, 125, 123, 123, 126, 1167, 488, 125, 123, 124, 124, 1194, 1924, 16257, 1424, 13347, 11152, 1323, 2438, 4218, 19683, 1323, 3484, 2521, 155, 2801, 1424, 18281, 1512, 1392, 21937, 1323, 3767, 7879, 2315, 1188, 20024, 1703, 1227, 488, 130, 1317, 488, 124, 128, 2738, 488, 125, 123, 124, 129, 106, 18281, 1512, 1392, 21937, 1323, 15804, 14198, 1125, 17426, 2048, 1437, 1703, 1188, 3862, 1227, 488, 125, 123, 124, 129, 9323, 1167, 16828, 5825, 2093, 159, 172, 2296, 194, 1414, 17345, 17388, 2720, 4196, 1916, 1231, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 25624, 12987, 2720, 8156, 1188, 2801, 8156, 1186, 2921, 488, 124, 132, 131, 124, 114, 32001, 1424, 32000, 20036, 1720, 5417, 196, 10341, 174, 5834, 24051, 1170, 488, 124, 124, 2921, 488, 124, 132, 131, 124, 1188, 2801, 116, 1299, 1189, 15601, 15173, 14045, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 1186, 488, 125, 123, 123, 124, 12258, 1110, 1844, 1909, 28407, 1188, 10600, 2165, 1313, 1170, 5878, 1125, 1594, 9159, 1545, 1214, 1712, 10341, 15484, 2036, 1768, 1110, 9524, 1585, 1313, 1158, 6964, 1197, 1323, 130, 126, 12137, 1167, 8135, 8946, 6968, 1188, 1282, 1749, 2521, 155, 1167, 1317, 5545, 1125, 1594, 5878, 7783, 142, 6707, 1442, 2305, 22672, 1227, 2854, 1186, 488, 125, 123, 123, 124, 119, 1204, 5417, 196, 1110, 4766, 1561, 11521, 24142, 1186, 488, 125, 123, 124, 127, 1388, 2951, 1390, 19119, 1188, 1561, 9245, 1125, 15601, 1125, 4392, 4041, 119, 1204, 5417, 196, 10341, 174, 5834, 27999, 1158, 2453, 1125, 25332, 5843, 29637, 1170, 4154, 1125, 1561, 9640, 12835, 1527, 1299, 18480, 1227, 2929, 18281, 1512, 1392, 16834, 1313, 6640, 1527, 1110, 7669, 3649, 1408, 1125, 488, 124, 126, 123, 25539, 1125, 4392, 4041, 2720, 1313, 1158, 9477, 1125, 6072, 1136, 1304, 7070, 6982, 1125, 6344, 30955, 1188, 31282, 6721, 28707, 1204, 5417, 196, 10341, 174, 5834, 1110, 1892, 1568, 2011, 244, 1440, 5188, 2929, 1313, 1189, 5509, 18281, 1512, 1392, 16834, 9665, 6534, 120, 125, 123, 124, 129, 1571, 16801, 8175, 155, 8732, 26361, 1424, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 124, 1175, 5522, 181, 4353, 28189, 116, 1257, 15953, 19495, 106, 11609, 1227, 2854, 488, 125, 123, 123, 123, 6574, 28951, 116, 1257, 488, 126, 2247, 106, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 127, 5867, 1569, 1118, 116, 1192, 6759, 173, 5363, 175, 17636, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 123, 1175, 2003, 27898, 10914, 116, 14512, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 123, 131, 6700, 1544, 116, 20375, 1424, 26389, 22572, 1215, 4924, 488, 125, 123, 123, 127, 7194, 3099, 16370, 116, 1257, 12497, 9037, 1916, 1231, 106, 26389, 1125, 2315, 1257, 15953, 19495, 1186, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 125, 123, 124, 127, 106, 11609, 1125, 2315, 133, 15953, 19495, 1186, 488, 124, 132, 132, 132, 119, 488, 125, 123, 123, 126, 1167, 488, 125, 123, 124, 124, 1194, 1924, 16257, 1424, 13347, 11152, 1323, 2438, 4218, 19683, 1323, 3484, 2521, 155, 2801, 1424, 18281, 1512, 1392, 21937, 1323, 3767, 7879, 2315, 1188, 20024, 1703, 1227, 488, 130, 1317, 488, 124, 128, 2738, 488, 125, 123, 124, 129, 106, 18281, 1512, 1392, 21937, 1323, 15804, 14198, 1125, 17426, 2048, 1437, 1703, 1188, 3862, 1227, 488, 125, 123, 124, 129, 9323, 1167, 16828, 5825, 2093, 159, 172, 2296, 194, 1414, 17345, 17388, 2720, 4196, 1916, 1231, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 25624, 12987, 2720, 8156, 1188, 2801, 8156, 1186, 2921, 488, 124, 132, 131, 124, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 5417, 196, 10341, 174, 5834, 24051, 1170, 488, 124, 124, 2921, 488, 124, 132, 131, 124, 1188, 2801, 116, 1299, 1189, 15601, 15173, 14045, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 1186, 488, 125, 123, 123, 124, 12258, 1110, 1844, 1909, 28407, 1188, 10600, 2165, 1313, 1170, 5878, 1125, 1594, 9159, 1545, 1214, 1712, 10341, 15484, 2036, 1768, 1110, 9524, 1585, 1313, 1158, 6964, 1197, 1323, 130, 126, 12137, 1167, 8135, 8946, 6968, 1188, 1282, 1749, 2521, 155, 1167, 1317, 5545, 1125, 1594, 5878, 7783, 142, 6707, 1442, 2305, 22672, 1227, 2854, 1186, 488, 125, 123, 123, 124, 119, 1204, 5417, 196, 1110, 4766, 1561, 11521, 24142, 1186, 488, 125, 123, 124, 127, 1388, 2951, 1390, 19119, 1188, 1561, 9245, 1125, 15601, 1125, 4392, 4041, 119, 1204, 5417, 196, 10341, 174, 5834, 27999, 1158, 2453, 1125, 25332, 5843, 29637, 1170, 4154, 1125, 1561, 9640, 12835, 1527, 1299, 18480, 1227, 2929, 18281, 1512, 1392, 16834, 1313, 6640, 1527, 1110, 7669, 3649, 1408, 1125, 488, 124, 126, 123, 25539, 1125, 4392, 4041, 2720, 1313, 1158, 9477, 1125, 6072, 1136, 1304, 7070, 6982, 1125, 6344, 30955, 1188, 31282, 6721, 28707, 1204, 5417, 196, 10341, 174, 5834, 1110, 1892, 1568, 2011, 244, 1440, 5188, 2929, 1313, 1189, 5509, 18281, 1512, 1392, 16834, 9665, 6534, 120, 125, 123, 124, 129, 1571, 16801, 8175, 155, 8732, 26361, 1424, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 124, 1175, 5522, 181, 4353, 28189, 116, 1257, 15953, 19495, 106, 11609, 1227, 2854, 488, 125, 123, 123, 123, 6574, 28951, 116, 1257, 488, 126, 2247, 106, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 127, 5867, 1569, 1118, 116, 1192, 6759, 173, 5363, 175, 17636, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 124, 123, 1175, 2003, 27898, 10914, 116, 14512, 1424, 488, 1571, 6707, 19754, 22572, 488, 125, 123, 123, 131, 6700, 1544, 116, 20375, 1424, 26389, 22572, 1215, 4924, 488, 125, 123, 123, 127, 7194, 3099, 16370, 116, 1257, 12497, 9037, 1916, 1231, 106, 26389, 1125, 2315, 1257, 15953, 19495, 1186, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 125, 123, 124, 127, 106, 11609, 1125, 2315, 133, 15953, 19495, 1186, 488, 124, 132, 132, 132, 119, 488, 125, 123, 123, 126, 1167, 488, 125, 123, 124, 124, 1194, 1924, 16257, 1424, 13347, 11152, 1323, 2438, 4218, 19683, 1323, 3484, 2521, 155, 2801, 1424, 18281, 1512, 1392, 21937, 1323, 3767, 7879, 2315, 1188, 20024, 1703, 1227, 488, 130, 1317, 488, 124, 128, 2738, 488, 125, 123, 124, 129, 106, 18281, 1512, 1392, 21937, 1323, 15804, 14198, 1125, 17426, 2048, 1437, 1703, 1188, 3862, 1227, 488, 125, 123, 124, 129, 9323, 1167, 16828, 5825, 2093, 159, 172, 2296, 194, 1414, 17345, 17388, 2720, 4196, 1916, 1231, 1227, 2854, 1125, 7899, 2296, 194, 1414, 186, 25624, 12987, 2720, 8156, 1188, 2801, 8156, 1186, 2921, 488, 124, 132, 131, 124, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 5902, 2847, 1299, 1189, 4391, 7497, 1183, 1857, 27785, 1125, 16885, 31446, 1165, 128, 147, 128, 5329, 125, 121, 2932, 1691, 1137, 1450, 1299, 1318, 1197, 12149, 1125, 1158, 13017, 21685, 1606, 12226, 1119, 1303, 3133, 1408, 17874, 2290, 1170, 1874, 5514, 1125, 7673, 4861, 9598, 1808, 2905, 30634, 16149, 1227, 4391, 7497, 1183, 1857, 27785, 1508, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 7993, 1276, 2847, 119, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 1663, 2847, 1362, 2743, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1304, 1237, 1433, 3476, 5162, 1186, 16619, 15811, 1167, 24556, 1109, 3693, 2442, 1309, 1256, 1207, 7790, 9309, 1388, 14910, 1164, 6235, 1227, 1691, 1137, 1450, 14564, 176, 1691, 1137, 1450, 8059, 10406, 1125, 16885, 1165, 128, 147, 128, 5329, 125, 119, 1110, 1318, 14707, 26087, 4010, 1125, 488, 124, 125, 128, 119, 124, 1185, 4463, 1172, 2147, 1105, 2151, 7993, 1395, 1491, 1281, 18381, 1188, 488, 488, 131, 129, 14130, 1167, 1561, 28245, 1299, 1125, 488, 124, 119, 124, 12258, 1881, 3291, 1356, 1439, 7581, 1186, 7751, 1304, 1119, 1764, 17043, 1881, 3291, 1356, 2651, 1151, 1231, 1460, 8902, 1112, 1170, 1408, 4701, 4855, 1188, 4428, 1255, 19232, 22150, 5004, 1300, 1207, 1994, 2835, 14095, 1906, 1309, 1313, 4345, 22222, 7682, 1189, 1675, 15918, 1136, 1151, 1231, 1460, 1323, 7200, 4428, 3881, 1150, 6807, 10645, 1207, 1110, 1577, 1346, 1207, 13771, 1949, 1285, 4892, 1323, 10633, 1823, 5162, 1576, 3762, 1440, 2015, 2671, 3366, 4428, 1255, 19232, 11616, 1188, 28525, 7971, 1158, 1881, 3291, 6125, 2071, 13488, 16110, 19134, 4930, 6058, 21780, 4160, 1215, 1158, 7751, 1227, 3274, 1160, 15806, 2847, 1167, 1227, 3274, 1160, 4391, 7497, 1186, 3620, 19925, 1227, 1734, 8982, 10062, 7823, 1125, 1158, 1881, 3291, 6125, 2071, 1527, 1251, 1110, 3968, 1125, 20833, 1167, 2429, 3016, 27421, 1881, 1690, 1388, 26630, 1227, 4391, 7497, 1183, 1857, 27785, 1257, 1424, 153, 1123, 1164, 3476, 9428, 1213, 1125, 5902, 2847, 119, 1748, 25589, 10836, 196, 1333, 5161, 2571, 5952, 19850, 3859, 3305, 12715, 32001, 1424, 32000, 20036, 2359, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 5902, 2847, 1299, 1189, 4391, 7497, 1183, 1857, 27785, 1125, 16885, 31446, 1165, 128, 147, 128, 5329, 125, 121, 2932, 1691, 1137, 1450, 1299, 1318, 1197, 12149, 1125, 1158, 13017, 21685, 1606, 12226, 1119, 1303, 3133, 1408, 17874, 2290, 1170, 1874, 5514, 1125, 7673, 4861, 9598, 1808, 2905, 30634, 16149, 1227, 4391, 7497, 1183, 1857, 27785, 1508, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 7993, 1276, 2847, 119, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 1663, 2847, 1362, 2743, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1304, 1237, 1433, 3476, 5162, 1186, 16619, 15811, 1167, 24556, 1109, 3693, 2442, 1309, 1256, 1207, 7790, 9309, 1388, 14910, 1164, 6235, 1227, 1691, 1137, 1450, 14564, 176, 1691, 1137, 1450, 8059, 10406, 1125, 16885, 1165, 128, 147, 128, 5329, 125, 119, 1110, 1318, 14707, 26087, 4010, 1125, 488, 124, 125, 128, 119, 124, 1185, 4463, 1172, 2147, 1105, 2151, 7993, 1395, 1491, 1281, 18381, 1188, 488, 488, 131, 129, 14130, 1167, 1561, 28245, 1299, 1125, 488, 124, 119, 124, 12258, 1881, 3291, 1356, 1439, 7581, 1186, 7751, 1304, 1119, 1764, 17043, 1881, 3291, 1356, 2651, 1151, 1231, 1460, 8902, 1112, 1170, 1408, 4701, 4855, 1188, 4428, 1255, 19232, 22150, 5004, 1300, 1207, 1994, 2835, 14095, 1906, 1309, 1313, 4345, 22222, 7682, 1189, 1675, 15918, 1136, 1151, 1231, 1460, 1323, 7200, 4428, 3881, 1150, 6807, 10645, 1207, 1110, 1577, 1346, 1207, 13771, 1949, 1285, 4892, 1323, 10633, 1823, 5162, 1576, 3762, 1440, 2015, 2671, 3366, 4428, 1255, 19232, 11616, 1188, 28525, 7971, 1158, 1881, 3291, 6125, 2071, 13488, 16110, 19134, 4930, 6058, 21780, 4160, 1215, 1158, 7751, 1227, 3274, 1160, 15806, 2847, 1167, 1227, 3274, 1160, 4391, 7497, 1186, 3620, 19925, 1227, 1734, 8982, 10062, 7823, 1125, 1158, 1881, 3291, 6125, 2071, 1527, 1251, 1110, 3968, 1125, 20833, 1167, 2429, 3016, 27421, 1881, 1690, 1388, 26630, 1227, 4391, 7497, 1183, 1857, 27785, 1257, 1424, 153, 1123, 1164, 3476, 9428, 1213, 1125, 5902, 2847, 119, 1748, 25589, 10836, 196, 1333, 5161, 2571, 5952, 19850, 3859, 3305, 12715, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 5902, 2847, 1299, 1189, 4391, 7497, 1183, 1857, 27785, 1125, 16885, 31446, 1165, 128, 147, 128, 5329, 125, 121, 2932, 1691, 1137, 1450, 1299, 1318, 1197, 12149, 1125, 1158, 13017, 21685, 1606, 12226, 1119, 1303, 3133, 1408, 17874, 2290, 1170, 1874, 5514, 1125, 7673, 4861, 9598, 1808, 2905, 30634, 16149, 1227, 4391, 7497, 1183, 1857, 27785, 1508, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 7993, 1276, 2847, 119, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1125, 1663, 2847, 1362, 2743, 1170, 488, 125, 2308, 196, 7497, 1183, 1857, 27785, 1304, 1237, 1433, 3476, 5162, 1186, 16619, 15811, 1167, 24556, 1109, 3693, 2442, 1309, 1256, 1207, 7790, 9309, 1388, 14910, 1164, 6235, 1227, 1691, 1137, 1450, 14564, 176, 1691, 1137, 1450, 8059, 10406, 1125, 16885, 1165, 128, 147, 128, 5329, 125, 119, 1110, 1318, 14707, 26087, 4010, 1125, 488, 124, 125, 128, 119, 124, 1185, 4463, 1172, 2147, 1105, 2151, 7993, 1395, 1491, 1281, 18381, 1188, 488, 488, 131, 129, 14130, 1167, 1561, 28245, 1299, 1125, 488, 124, 119, 124, 12258, 1881, 3291, 1356, 1439, 7581, 1186, 7751, 1304, 1119, 1764, 17043, 1881, 3291, 1356, 2651, 1151, 1231, 1460, 8902, 1112, 1170, 1408, 4701, 4855, 1188, 4428, 1255, 19232, 22150, 5004, 1300, 1207, 1994, 2835, 14095, 1906, 1309, 1313, 4345, 22222, 7682, 1189, 1675, 15918, 1136, 1151, 1231, 1460, 1323, 7200, 4428, 3881, 1150, 6807, 10645, 1207, 1110, 1577, 1346, 1207, 13771, 1949, 1285, 4892, 1323, 10633, 1823, 5162, 1576, 3762, 1440, 2015, 2671, 3366, 4428, 1255, 19232, 11616, 1188, 28525, 7971, 1158, 1881, 3291, 6125, 2071, 13488, 16110, 19134, 4930, 6058, 21780, 4160, 1215, 1158, 7751, 1227, 3274, 1160, 15806, 2847, 1167, 1227, 3274, 1160, 4391, 7497, 1186, 3620, 19925, 1227, 1734, 8982, 10062, 7823, 1125, 1158, 1881, 3291, 6125, 2071, 1527, 1251, 1110, 3968, 1125, 20833, 1167, 2429, 3016, 27421, 1881, 1690, 1388, 26630, 1227, 4391, 7497, 1183, 1857, 27785, 1257, 1424, 153, 1123, 1164, 3476, 9428, 1213, 1125, 5902, 2847, 119, 1748, 25589, 10836, 196, 1333, 5161, 2571, 5952, 19850, 3859, 3305, 12715, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 22066, 1193, 1419, 8996, 1810, 2487, 1158, 5169, 6321, 21364, 1299, 28730, 5726, 1603, 2039, 1460, 20120, 1125, 8146, 7934, 140, 3145, 1299, 1318, 16161, 1125, 8146, 20120, 1167, 1299, 1170, 11988, 7774, 1283, 10955, 1197, 3083, 5787, 121, 5371, 6110, 5509, 488, 125, 127, 4898, 1300, 488, 125, 127, 119, 488, 130, 3617, 1300, 488, 130, 1186, 13702, 1167, 1188, 5259, 22636, 1657, 2814, 26325, 14072, 2183, 1207, 13809, 1257, 1125, 1158, 3657, 1188, 5425, 25755, 1186, 14722, 1215, 1207, 10934, 3056, 1346, 1158, 1622, 3655, 1170, 31374, 1158, 3908, 1167, 1207, 11931, 4399, 23460, 1575, 5371, 6110, 7891, 119, 1207, 25662, 1167, 7669, 1104, 1125, 8146, 13536, 17159, 10001, 2500, 1197, 20935, 1125, 5764, 1167, 1125, 3257, 245, 29168, 1197, 24809, 13914, 1186, 16881, 1125, 24541, 1554, 12026, 1167, 6327, 1167, 29175, 1313, 2069, 1197, 3203, 15532, 21170, 1175, 1885, 2444, 1167, 26561, 18131, 4023, 1418, 30609, 1418, 8738, 6055, 1108, 488, 124, 132, 125, 123, 119, 13041, 1419, 21549, 1141, 1858, 1797, 1123, 1188, 16241, 1189, 8899, 15166, 19430, 6387, 1158, 8996, 7165, 3350, 2750, 1158, 16880, 12507, 27213, 1170, 27396, 1197, 5371, 3967, 1110, 19560, 1309, 1170, 3293, 1281, 1560, 1148, 2519, 16161, 5277, 9663, 1140, 6110, 1110, 1913, 1736, 20447, 1303, 1170, 488, 124, 130, 2578, 488, 124, 132, 125, 123, 1215, 1189, 5321, 2038, 1167, 4199, 12001, 6780, 20190, 18207, 1167, 1189, 18123, 1214, 4819, 19570, 12701, 2961, 4819, 1469, 7762, 5743, 1125, 30403, 10562, 1234, 1215, 488, 128, 129, 20836, 5291, 18812, 1197, 9628, 6076, 1717, 1723, 1382, 1125, 6969, 1125, 5373, 4277, 1167, 488, 124, 124, 14098, 121, 2576, 4840, 1125, 1158, 8146, 20120, 2934, 1332, 15899, 1188, 3862, 1125, 488, 124, 132, 127, 131, 4204, 1189, 8774, 1125, 26728, 1761, 8155, 488, 124, 128, 2578, 488, 124, 132, 125, 123, 119, 13041, 1419, 30338, 1909, 9881, 3257, 245, 2942, 1257, 488, 130, 29937, 1508, 3042, 22082, 2442, 1309, 1281, 2075, 5962, 6565, 10924, 5221, 20949, 1167, 1170, 5987, 2729, 17659, 19570, 12701, 2961, 1136, 1357, 3618, 1913, 1186, 488, 124, 132, 123, 123, 6113, 1197, 1736, 20447, 2518, 1167, 13114, 1125, 1158, 30302, 1125, 5726, 1603, 2039, 1214, 2130, 1962, 119, 1318, 3385, 20775, 9005, 7079, 1125, 1962, 8469, 20120, 1125, 1918, 1636, 2433, 13286, 172, 1158, 26892, 1125, 5371, 6110, 22571, 488, 124, 132, 127, 130, 121, 15530, 1158, 26634, 1527, 3618, 20780, 1469, 1207, 24625, 2082, 190, 1313, 1207, 8552, 4879, 1180, 10303, 4321, 1440, 1357, 1264, 8247, 1370, 1158, 13702, 1186, 3620, 1125, 5148, 1215, 3598, 1188, 21549, 1141, 8509, 1467, 488, 124, 132, 127, 127, 119, 1158, 9550, 9900, 1186, 2720, 1167, 26561, 18131, 1167, 1189, 2424, 15601, 1299, 10152, 3502, 1653, 488, 124, 132, 130, 123, 119, 13041, 1419, 1125, 8146, 5277, 1281, 1560, 1148, 1125, 2069, 2882, 20205, 2635, 133, 6113, 19101, 7664, 14974, 26561, 2621, 31090, 8509, 6849, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 5371, 6110, 1110, 4399, 19546, 1909, 5736, 2079, 5444, 1847, 3174, 1207, 3257, 245, 2942, 23564, 4321, 1207, 16547, 5560, 1170, 1325, 2897, 119, 1158, 2791, 2086, 1282, 24927, 1167, 1158, 6327, 18505, 5488, 4023, 2606, 4744, 1186, 8996, 3725, 2399, 11834, 488, 126, 129, 128, 3617, 1215, 1151, 1167, 2803, 1318, 2630, 2100, 1125, 4634, 121, 14301, 15471, 4542, 7271, 2500, 25393, 1188, 4847, 172, 1107, 1897, 2296, 119, 5820, 21408, 1202, 1378, 4688, 488, 131, 12875, 2004, 1913, 3175, 1538, 1193, 1234, 1170, 488, 125, 128, 2875, 488, 125, 123, 124, 132, 1313, 1170, 29703, 1415, 1125, 13361, 10708, 1179, 1558, 1571, 19099, 1312, 1125, 28976, 488, 125, 132, 11488, 1167, 20117, 20544, 11052, 28730, 1125, 8146, 7364, 5825, 1194, 9659, 1419, 1125, 8146, 29562, 1197, 10792, 4716, 1594, 9209, 1186, 13702, 29562, 16512, 1186, 488, 124, 132, 125, 123, 29562, 4716, 1594, 9209, 1188, 16241, 114, 32001, 1424, 32000, 20036, 6725, 1193, 1419, 8996, 1810, 2487, 1158, 5169, 6321, 21364, 1299, 28730, 5726, 1603, 2039, 1460, 20120, 1125, 8146, 7934, 140, 3145, 1299, 1318, 16161, 1125, 8146, 20120, 1167, 1299, 1170, 11988, 7774, 1283, 10955, 1197, 3083, 5787, 121, 5371, 6110, 5509, 488, 125, 127, 4898, 1300, 488, 125, 127, 119, 488, 130, 3617, 1300, 488, 130, 1186, 13702, 1167, 1188, 5259, 22636, 1657, 2814, 26325, 14072, 2183, 1207, 13809, 1257, 1125, 1158, 3657, 1188, 5425, 25755, 1186, 14722, 1215, 1207, 10934, 3056, 1346, 1158, 1622, 3655, 1170, 31374, 1158, 3908, 1167, 1207, 11931, 4399, 23460, 1575, 5371, 6110, 7891, 119, 1207, 25662, 1167, 7669, 1104, 1125, 8146, 13536, 17159, 10001, 2500, 1197, 20935, 1125, 5764, 1167, 1125, 3257, 245, 29168, 1197, 24809, 13914, 1186, 16881, 1125, 24541, 1554, 12026, 1167, 6327, 1167, 29175, 1313, 2069, 1197, 3203, 15532, 21170, 1175, 1885, 2444, 1167, 26561, 18131, 4023, 1418, 30609, 1418, 8738, 6055, 1108, 488, 124, 132, 125, 123, 119, 13041, 1419, 21549, 1141, 1858, 1797, 1123, 1188, 16241, 1189, 8899, 15166, 19430, 6387, 1158, 8996, 7165, 3350, 2750, 1158, 16880, 12507, 27213, 1170, 27396, 1197, 5371, 3967, 1110, 19560, 1309, 1170, 3293, 1281, 1560, 1148, 2519, 16161, 5277, 9663, 1140, 6110, 1110, 1913, 1736, 20447, 1303, 1170, 488, 124, 130, 2578, 488, 124, 132, 125, 123, 1215, 1189, 5321, 2038, 1167, 4199, 12001, 6780, 20190, 18207, 1167, 1189, 18123, 1214, 4819, 19570, 12701, 2961, 4819, 1469, 7762, 5743, 1125, 30403, 10562, 1234, 1215, 488, 128, 129, 20836, 5291, 18812, 1197, 9628, 6076, 1717, 1723, 1382, 1125, 6969, 1125, 5373, 4277, 1167, 488, 124, 124, 14098, 121, 2576, 4840, 1125, 1158, 8146, 20120, 2934, 1332, 15899, 1188, 3862, 1125, 488, 124, 132, 127, 131, 4204, 1189, 8774, 1125, 26728, 1761, 8155, 488, 124, 128, 2578, 488, 124, 132, 125, 123, 119, 13041, 1419, 30338, 1909, 9881, 3257, 245, 2942, 1257, 488, 130, 29937, 1508, 3042, 22082, 2442, 1309, 1281, 2075, 5962, 6565, 10924, 5221, 20949, 1167, 1170, 5987, 2729, 17659, 19570, 12701, 2961, 1136, 1357, 3618, 1913, 1186, 488, 124, 132, 123, 123, 6113, 1197, 1736, 20447, 2518, 1167, 13114, 1125, 1158, 30302, 1125, 5726, 1603, 2039, 1214, 2130, 1962, 119, 1318, 3385, 20775, 9005, 7079, 1125, 1962, 8469, 20120, 1125, 1918, 1636, 2433, 13286, 172, 1158, 26892, 1125, 5371, 6110, 22571, 488, 124, 132, 127, 130, 121, 15530, 1158, 26634, 1527, 3618, 20780, 1469, 1207, 24625, 2082, 190, 1313, 1207, 8552, 4879, 1180, 10303, 4321, 1440, 1357, 1264, 8247, 1370, 1158, 13702, 1186, 3620, 1125, 5148, 1215, 3598, 1188, 21549, 1141, 8509, 1467, 488, 124, 132, 127, 127, 119, 1158, 9550, 9900, 1186, 2720, 1167, 26561, 18131, 1167, 1189, 2424, 15601, 1299, 10152, 3502, 1653, 488, 124, 132, 130, 123, 119, 13041, 1419, 1125, 8146, 5277, 1281, 1560, 1148, 1125, 2069, 2882, 20205, 2635, 133, 6113, 19101, 7664, 14974, 26561, 2621, 31090, 8509, 6849, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 5371, 6110, 1110, 4399, 19546, 1909, 5736, 2079, 5444, 1847, 3174, 1207, 3257, 245, 2942, 23564, 4321, 1207, 16547, 5560, 1170, 1325, 2897, 119, 1158, 2791, 2086, 1282, 24927, 1167, 1158, 6327, 18505, 5488, 4023, 2606, 4744, 1186, 8996, 3725, 2399, 11834, 488, 126, 129, 128, 3617, 1215, 1151, 1167, 2803, 1318, 2630, 2100, 1125, 4634, 121, 14301, 15471, 4542, 7271, 2500, 25393, 1188, 4847, 172, 1107, 1897, 2296, 119, 5820, 21408, 1202, 1378, 4688, 488, 131, 12875, 2004, 1913, 3175, 1538, 1193, 1234, 1170, 488, 125, 128, 2875, 488, 125, 123, 124, 132, 1313, 1170, 29703, 1415, 1125, 13361, 10708, 1179, 1558, 1571, 19099, 1312, 1125, 28976, 488, 125, 132, 11488, 1167, 20117, 20544, 11052, 28730, 1125, 8146, 7364, 5825, 1194, 9659, 1419, 1125, 8146, 29562, 1197, 10792, 4716, 1594, 9209, 1186, 13702, 29562, 16512, 1186, 488, 124, 132, 125, 123, 29562, 4716, 1594, 9209, 1188, 16241, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6725, 1193, 1419, 8996, 1810, 2487, 1158, 5169, 6321, 21364, 1299, 28730, 5726, 1603, 2039, 1460, 20120, 1125, 8146, 7934, 140, 3145, 1299, 1318, 16161, 1125, 8146, 20120, 1167, 1299, 1170, 11988, 7774, 1283, 10955, 1197, 3083, 5787, 121, 5371, 6110, 5509, 488, 125, 127, 4898, 1300, 488, 125, 127, 119, 488, 130, 3617, 1300, 488, 130, 1186, 13702, 1167, 1188, 5259, 22636, 1657, 2814, 26325, 14072, 2183, 1207, 13809, 1257, 1125, 1158, 3657, 1188, 5425, 25755, 1186, 14722, 1215, 1207, 10934, 3056, 1346, 1158, 1622, 3655, 1170, 31374, 1158, 3908, 1167, 1207, 11931, 4399, 23460, 1575, 5371, 6110, 7891, 119, 1207, 25662, 1167, 7669, 1104, 1125, 8146, 13536, 17159, 10001, 2500, 1197, 20935, 1125, 5764, 1167, 1125, 3257, 245, 29168, 1197, 24809, 13914, 1186, 16881, 1125, 24541, 1554, 12026, 1167, 6327, 1167, 29175, 1313, 2069, 1197, 3203, 15532, 21170, 1175, 1885, 2444, 1167, 26561, 18131, 4023, 1418, 30609, 1418, 8738, 6055, 1108, 488, 124, 132, 125, 123, 119, 13041, 1419, 21549, 1141, 1858, 1797, 1123, 1188, 16241, 1189, 8899, 15166, 19430, 6387, 1158, 8996, 7165, 3350, 2750, 1158, 16880, 12507, 27213, 1170, 27396, 1197, 5371, 3967, 1110, 19560, 1309, 1170, 3293, 1281, 1560, 1148, 2519, 16161, 5277, 9663, 1140, 6110, 1110, 1913, 1736, 20447, 1303, 1170, 488, 124, 130, 2578, 488, 124, 132, 125, 123, 1215, 1189, 5321, 2038, 1167, 4199, 12001, 6780, 20190, 18207, 1167, 1189, 18123, 1214, 4819, 19570, 12701, 2961, 4819, 1469, 7762, 5743, 1125, 30403, 10562, 1234, 1215, 488, 128, 129, 20836, 5291, 18812, 1197, 9628, 6076, 1717, 1723, 1382, 1125, 6969, 1125, 5373, 4277, 1167, 488, 124, 124, 14098, 121, 2576, 4840, 1125, 1158, 8146, 20120, 2934, 1332, 15899, 1188, 3862, 1125, 488, 124, 132, 127, 131, 4204, 1189, 8774, 1125, 26728, 1761, 8155, 488, 124, 128, 2578, 488, 124, 132, 125, 123, 119, 13041, 1419, 30338, 1909, 9881, 3257, 245, 2942, 1257, 488, 130, 29937, 1508, 3042, 22082, 2442, 1309, 1281, 2075, 5962, 6565, 10924, 5221, 20949, 1167, 1170, 5987, 2729, 17659, 19570, 12701, 2961, 1136, 1357, 3618, 1913, 1186, 488, 124, 132, 123, 123, 6113, 1197, 1736, 20447, 2518, 1167, 13114, 1125, 1158, 30302, 1125, 5726, 1603, 2039, 1214, 2130, 1962, 119, 1318, 3385, 20775, 9005, 7079, 1125, 1962, 8469, 20120, 1125, 1918, 1636, 2433, 13286, 172, 1158, 26892, 1125, 5371, 6110, 22571, 488, 124, 132, 127, 130, 121, 15530, 1158, 26634, 1527, 3618, 20780, 1469, 1207, 24625, 2082, 190, 1313, 1207, 8552, 4879, 1180, 10303, 4321, 1440, 1357, 1264, 8247, 1370, 1158, 13702, 1186, 3620, 1125, 5148, 1215, 3598, 1188, 21549, 1141, 8509, 1467, 488, 124, 132, 127, 127, 119, 1158, 9550, 9900, 1186, 2720, 1167, 26561, 18131, 1167, 1189, 2424, 15601, 1299, 10152, 3502, 1653, 488, 124, 132, 130, 123, 119, 13041, 1419, 1125, 8146, 5277, 1281, 1560, 1148, 1125, 2069, 2882, 20205, 2635, 133, 6113, 19101, 7664, 14974, 26561, 2621, 31090, 8509, 6849, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 5371, 6110, 1110, 4399, 19546, 1909, 5736, 2079, 5444, 1847, 3174, 1207, 3257, 245, 2942, 23564, 4321, 1207, 16547, 5560, 1170, 1325, 2897, 119, 1158, 2791, 2086, 1282, 24927, 1167, 1158, 6327, 18505, 5488, 4023, 2606, 4744, 1186, 8996, 3725, 2399, 11834, 488, 126, 129, 128, 3617, 1215, 1151, 1167, 2803, 1318, 2630, 2100, 1125, 4634, 121, 14301, 15471, 4542, 7271, 2500, 25393, 1188, 4847, 172, 1107, 1897, 2296, 119, 5820, 21408, 1202, 1378, 4688, 488, 131, 12875, 2004, 1913, 3175, 1538, 1193, 1234, 1170, 488, 125, 128, 2875, 488, 125, 123, 124, 132, 1313, 1170, 29703, 1415, 1125, 13361, 10708, 1179, 1558, 1571, 19099, 1312, 1125, 28976, 488, 125, 132, 11488, 1167, 20117, 20544, 11052, 28730, 1125, 8146, 7364, 5825, 1194, 9659, 1419, 1125, 8146, 29562, 1197, 10792, 4716, 1594, 9209, 1186, 13702, 29562, 16512, 1186, 488, 124, 132, 125, 123, 29562, 4716, 1594, 9209, 1188, 16241, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 155, 3030, 25700, 16860, 174, 2085, 24051, 1186, 488, 124, 132, 129, 124, 116, 1299, 1189, 2682, 17215, 8214, 1380, 1119, 11181, 7165, 11027, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 2682, 17215, 1125, 3676, 1319, 2006, 1313, 12547, 11645, 12412, 14691, 9770, 1768, 1299, 22645, 5943, 1170, 1106, 12920, 1125, 30773, 1125, 488, 125, 123, 124, 125, 1188, 488, 125, 123, 124, 130, 1388, 5522, 9861, 1167, 27180, 1424, 162, 1142, 174, 2085, 1299, 5252, 1186, 488, 124, 132, 129, 124, 1167, 8833, 1849, 1170, 7010, 190, 1273, 9168, 1313, 1170, 8030, 1227, 1266, 3604, 20104, 27795, 2567, 7993, 3898, 1107, 1188, 21455, 1125, 9776, 5523, 2585, 1527, 1299, 6711, 1227, 1753, 4172, 1361, 9168, 121, 1768, 1299, 7628, 255, 7749, 1125, 9776, 5523, 1469, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 12594, 5867, 12287, 1186, 488, 124, 132, 131, 127, 121, 1768, 8833, 1849, 6349, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1281, 4438, 1256, 1282, 1404, 3315, 1167, 18764, 1189, 1233, 140, 1186, 5430, 4058, 1125, 21455, 1125, 26734, 1186, 488, 124, 132, 131, 129, 121, 6487, 14429, 1527, 5464, 1245, 1188, 9776, 5523, 1256, 1197, 8787, 19034, 1842, 1167, 18764, 1318, 16956, 488, 1467, 12594, 4698, 12287, 1186, 488, 124, 132, 132, 124, 121, 1768, 8833, 1849, 6349, 1170, 1753, 4172, 1361, 9168, 14609, 195, 7362, 1167, 18764, 1189, 11622, 1128, 1186, 20727, 6047, 5449, 1142, 116, 1186, 488, 124, 132, 132, 126, 121, 6280, 21203, 1125, 11622, 1128, 2368, 1109, 2228, 1126, 11513, 1182, 1121, 2071, 1863, 3292, 1171, 1135, 5885, 1161, 1135, 16004, 5336, 1161, 4852, 1257, 3516, 20828, 2651, 1147, 1135, 5239, 1171, 8511, 1161, 4172, 5863, 193, 2982, 488, 124, 128, 128, 128, 458, 124, 128, 129, 127, 6700, 1182, 2733, 2071, 5294, 5434, 1167, 21853, 1227, 22669, 1227, 4852, 1257, 2682, 1475, 1819, 2651, 1313, 1158, 17117, 1167, 1158, 5854, 1125, 3699, 5863, 193, 2982, 488, 124, 128, 128, 128, 120, 124, 128, 129, 127, 25490, 1388, 11775, 15451, 3864, 8001, 25268, 1299, 3864, 8001, 2172, 24775, 1188, 10948, 31878, 1175, 125, 131, 2798, 488, 124, 132, 131, 130, 116, 1167, 1268, 1640, 1317, 10948, 31878, 6441, 1175, 125, 129, 2798, 488, 124, 132, 131, 131, 1496, 1207, 2069, 2768, 1215, 21804, 17215, 6480, 19961, 1321, 1108, 14777, 1188, 1158, 10538, 28808, 1125, 9776, 5523, 121, 6218, 3151, 8536, 1299, 4141, 244, 1188, 28509, 1105, 7579, 7224, 176, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 126, 119, 1667, 1186, 3958, 4283, 1197, 8787, 1125, 8483, 9586, 119, 1527, 1299, 1382, 1836, 2081, 8905, 5364, 1188, 22938, 1753, 19889, 1346, 1188, 21967, 119, 1167, 1188, 22938, 1753, 13659, 1532, 3378, 1188, 21967, 121, 1768, 1299, 5119, 1369, 1125, 10796, 1125, 1293, 2026, 3286, 1125, 488, 124, 132, 132, 126, 1188, 488, 124, 132, 132, 131, 26639, 7354, 8328, 1227, 25549, 20460, 6508, 119, 1165, 3948, 1707, 9271, 119, 9776, 5523, 121, 1768, 1299, 1268, 1640, 1186, 3812, 1125, 1753, 5612, 1361, 1325, 2314, 1390, 1188, 3862, 1125, 488, 124, 132, 132, 131, 2567, 1125, 8753, 1270, 7497, 1314, 1270, 1452, 10468, 1125, 1158, 10538, 28808, 1125, 1200, 1507, 5250, 1186, 488, 125, 123, 123, 129, 121, 1768, 1299, 12688, 1106, 12920, 1125, 1158, 10538, 28808, 1125, 30773, 1170, 488, 124, 128, 2875, 488, 125, 123, 124, 125, 8155, 488, 130, 3012, 488, 125, 123, 124, 130, 119, 1527, 1299, 12688, 2682, 17215, 1125, 3676, 1319, 2006, 119, 20360, 1170, 488, 125, 125, 2798, 1167, 5909, 1909, 8700, 1188, 1282, 24278, 488, 125, 123, 124, 130, 121, 1768, 1299, 18640, 1317, 9209, 1215, 1170, 31985, 1197, 21218, 1979, 1104, 1125, 1158, 10538, 28808, 1125, 3676, 1319, 2006, 1170, 488, 128, 2738, 488, 125, 123, 124, 130, 1167, 1594, 31228, 6672, 1303, 1188, 4524, 1204, 1554, 1213, 1170, 488, 128, 2798, 488, 125, 123, 124, 130, 121, 1548, 488, 125, 125, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 20360, 2682, 17215, 1215, 10905, 25157, 17215, 4172, 1173, 1129, 1174, 192, 1188, 4524, 1204, 1554, 1213, 1388, 162, 1142, 174, 2085, 1299, 9503, 1125, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1110, 6403, 244, 1256, 1282, 1404, 3315, 8155, 488, 124, 130, 2749, 488, 125, 123, 125, 126, 119, 16860, 174, 2085, 1299, 19160, 1188, 1158, 15890, 1197, 1115, 8799, 1186, 4083, 1309, 12492, 20574, 2113, 1388, 162, 1142, 174, 2085, 1299, 1557, 3649, 1188, 18851, 18405, 119, 1318, 15644, 2100, 1167, 1318, 10337, 1535, 1774, 1188, 21455, 27284, 2100, 1125, 3318, 13613, 1657, 4651, 2004, 2069, 4661, 24890, 7364, 5825, 2093, 224, 24116, 1125, 1753, 4172, 1361, 9168, 14091, 195, 7362, 12537, 3400, 1186, 488, 124, 132, 129, 124, 5526, 193, 17215, 8214, 1380, 1119, 29605, 1237, 7551, 1125, 3676, 1319, 2006, 114, 32001, 1424, 32000, 20036, 1566, 3030, 25700, 16860, 174, 2085, 24051, 1186, 488, 124, 132, 129, 124, 116, 1299, 1189, 2682, 17215, 8214, 1380, 1119, 11181, 7165, 11027, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 2682, 17215, 1125, 3676, 1319, 2006, 1313, 12547, 11645, 12412, 14691, 9770, 1768, 1299, 22645, 5943, 1170, 1106, 12920, 1125, 30773, 1125, 488, 125, 123, 124, 125, 1188, 488, 125, 123, 124, 130, 1388, 5522, 9861, 1167, 27180, 1424, 162, 1142, 174, 2085, 1299, 5252, 1186, 488, 124, 132, 129, 124, 1167, 8833, 1849, 1170, 7010, 190, 1273, 9168, 1313, 1170, 8030, 1227, 1266, 3604, 20104, 27795, 2567, 7993, 3898, 1107, 1188, 21455, 1125, 9776, 5523, 2585, 1527, 1299, 6711, 1227, 1753, 4172, 1361, 9168, 121, 1768, 1299, 7628, 255, 7749, 1125, 9776, 5523, 1469, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 12594, 5867, 12287, 1186, 488, 124, 132, 131, 127, 121, 1768, 8833, 1849, 6349, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1281, 4438, 1256, 1282, 1404, 3315, 1167, 18764, 1189, 1233, 140, 1186, 5430, 4058, 1125, 21455, 1125, 26734, 1186, 488, 124, 132, 131, 129, 121, 6487, 14429, 1527, 5464, 1245, 1188, 9776, 5523, 1256, 1197, 8787, 19034, 1842, 1167, 18764, 1318, 16956, 488, 1467, 12594, 4698, 12287, 1186, 488, 124, 132, 132, 124, 121, 1768, 8833, 1849, 6349, 1170, 1753, 4172, 1361, 9168, 14609, 195, 7362, 1167, 18764, 1189, 11622, 1128, 1186, 20727, 6047, 5449, 1142, 116, 1186, 488, 124, 132, 132, 126, 121, 6280, 21203, 1125, 11622, 1128, 2368, 1109, 2228, 1126, 11513, 1182, 1121, 2071, 1863, 3292, 1171, 1135, 5885, 1161, 1135, 16004, 5336, 1161, 4852, 1257, 3516, 20828, 2651, 1147, 1135, 5239, 1171, 8511, 1161, 4172, 5863, 193, 2982, 488, 124, 128, 128, 128, 458, 124, 128, 129, 127, 6700, 1182, 2733, 2071, 5294, 5434, 1167, 21853, 1227, 22669, 1227, 4852, 1257, 2682, 1475, 1819, 2651, 1313, 1158, 17117, 1167, 1158, 5854, 1125, 3699, 5863, 193, 2982, 488, 124, 128, 128, 128, 120, 124, 128, 129, 127, 25490, 1388, 11775, 15451, 3864, 8001, 25268, 1299, 3864, 8001, 2172, 24775, 1188, 10948, 31878, 1175, 125, 131, 2798, 488, 124, 132, 131, 130, 116, 1167, 1268, 1640, 1317, 10948, 31878, 6441, 1175, 125, 129, 2798, 488, 124, 132, 131, 131, 1496, 1207, 2069, 2768, 1215, 21804, 17215, 6480, 19961, 1321, 1108, 14777, 1188, 1158, 10538, 28808, 1125, 9776, 5523, 121, 6218, 3151, 8536, 1299, 4141, 244, 1188, 28509, 1105, 7579, 7224, 176, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 126, 119, 1667, 1186, 3958, 4283, 1197, 8787, 1125, 8483, 9586, 119, 1527, 1299, 1382, 1836, 2081, 8905, 5364, 1188, 22938, 1753, 19889, 1346, 1188, 21967, 119, 1167, 1188, 22938, 1753, 13659, 1532, 3378, 1188, 21967, 121, 1768, 1299, 5119, 1369, 1125, 10796, 1125, 1293, 2026, 3286, 1125, 488, 124, 132, 132, 126, 1188, 488, 124, 132, 132, 131, 26639, 7354, 8328, 1227, 25549, 20460, 6508, 119, 1165, 3948, 1707, 9271, 119, 9776, 5523, 121, 1768, 1299, 1268, 1640, 1186, 3812, 1125, 1753, 5612, 1361, 1325, 2314, 1390, 1188, 3862, 1125, 488, 124, 132, 132, 131, 2567, 1125, 8753, 1270, 7497, 1314, 1270, 1452, 10468, 1125, 1158, 10538, 28808, 1125, 1200, 1507, 5250, 1186, 488, 125, 123, 123, 129, 121, 1768, 1299, 12688, 1106, 12920, 1125, 1158, 10538, 28808, 1125, 30773, 1170, 488, 124, 128, 2875, 488, 125, 123, 124, 125, 8155, 488, 130, 3012, 488, 125, 123, 124, 130, 119, 1527, 1299, 12688, 2682, 17215, 1125, 3676, 1319, 2006, 119, 20360, 1170, 488, 125, 125, 2798, 1167, 5909, 1909, 8700, 1188, 1282, 24278, 488, 125, 123, 124, 130, 121, 1768, 1299, 18640, 1317, 9209, 1215, 1170, 31985, 1197, 21218, 1979, 1104, 1125, 1158, 10538, 28808, 1125, 3676, 1319, 2006, 1170, 488, 128, 2738, 488, 125, 123, 124, 130, 1167, 1594, 31228, 6672, 1303, 1188, 4524, 1204, 1554, 1213, 1170, 488, 128, 2798, 488, 125, 123, 124, 130, 121, 1548, 488, 125, 125, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 20360, 2682, 17215, 1215, 10905, 25157, 17215, 4172, 1173, 1129, 1174, 192, 1188, 4524, 1204, 1554, 1213, 1388, 162, 1142, 174, 2085, 1299, 9503, 1125, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1110, 6403, 244, 1256, 1282, 1404, 3315, 8155, 488, 124, 130, 2749, 488, 125, 123, 125, 126, 119, 16860, 174, 2085, 1299, 19160, 1188, 1158, 15890, 1197, 1115, 8799, 1186, 4083, 1309, 12492, 20574, 2113, 1388, 162, 1142, 174, 2085, 1299, 1557, 3649, 1188, 18851, 18405, 119, 1318, 15644, 2100, 1167, 1318, 10337, 1535, 1774, 1188, 21455, 27284, 2100, 1125, 3318, 13613, 1657, 4651, 2004, 2069, 4661, 24890, 7364, 5825, 2093, 224, 24116, 1125, 1753, 4172, 1361, 9168, 14091, 195, 7362, 12537, 3400, 1186, 488, 124, 132, 129, 124, 5526, 193, 17215, 8214, 1380, 1119, 29605, 1237, 7551, 1125, 3676, 1319, 2006, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1566, 3030, 25700, 16860, 174, 2085, 24051, 1186, 488, 124, 132, 129, 124, 116, 1299, 1189, 2682, 17215, 8214, 1380, 1119, 11181, 7165, 11027, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 2682, 17215, 1125, 3676, 1319, 2006, 1313, 12547, 11645, 12412, 14691, 9770, 1768, 1299, 22645, 5943, 1170, 1106, 12920, 1125, 30773, 1125, 488, 125, 123, 124, 125, 1188, 488, 125, 123, 124, 130, 1388, 5522, 9861, 1167, 27180, 1424, 162, 1142, 174, 2085, 1299, 5252, 1186, 488, 124, 132, 129, 124, 1167, 8833, 1849, 1170, 7010, 190, 1273, 9168, 1313, 1170, 8030, 1227, 1266, 3604, 20104, 27795, 2567, 7993, 3898, 1107, 1188, 21455, 1125, 9776, 5523, 2585, 1527, 1299, 6711, 1227, 1753, 4172, 1361, 9168, 121, 1768, 1299, 7628, 255, 7749, 1125, 9776, 5523, 1469, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 12594, 5867, 12287, 1186, 488, 124, 132, 131, 127, 121, 1768, 8833, 1849, 6349, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1281, 4438, 1256, 1282, 1404, 3315, 1167, 18764, 1189, 1233, 140, 1186, 5430, 4058, 1125, 21455, 1125, 26734, 1186, 488, 124, 132, 131, 129, 121, 6487, 14429, 1527, 5464, 1245, 1188, 9776, 5523, 1256, 1197, 8787, 19034, 1842, 1167, 18764, 1318, 16956, 488, 1467, 12594, 4698, 12287, 1186, 488, 124, 132, 132, 124, 121, 1768, 8833, 1849, 6349, 1170, 1753, 4172, 1361, 9168, 14609, 195, 7362, 1167, 18764, 1189, 11622, 1128, 1186, 20727, 6047, 5449, 1142, 116, 1186, 488, 124, 132, 132, 126, 121, 6280, 21203, 1125, 11622, 1128, 2368, 1109, 2228, 1126, 11513, 1182, 1121, 2071, 1863, 3292, 1171, 1135, 5885, 1161, 1135, 16004, 5336, 1161, 4852, 1257, 3516, 20828, 2651, 1147, 1135, 5239, 1171, 8511, 1161, 4172, 5863, 193, 2982, 488, 124, 128, 128, 128, 458, 124, 128, 129, 127, 6700, 1182, 2733, 2071, 5294, 5434, 1167, 21853, 1227, 22669, 1227, 4852, 1257, 2682, 1475, 1819, 2651, 1313, 1158, 17117, 1167, 1158, 5854, 1125, 3699, 5863, 193, 2982, 488, 124, 128, 128, 128, 120, 124, 128, 129, 127, 25490, 1388, 11775, 15451, 3864, 8001, 25268, 1299, 3864, 8001, 2172, 24775, 1188, 10948, 31878, 1175, 125, 131, 2798, 488, 124, 132, 131, 130, 116, 1167, 1268, 1640, 1317, 10948, 31878, 6441, 1175, 125, 129, 2798, 488, 124, 132, 131, 131, 1496, 1207, 2069, 2768, 1215, 21804, 17215, 6480, 19961, 1321, 1108, 14777, 1188, 1158, 10538, 28808, 1125, 9776, 5523, 121, 6218, 3151, 8536, 1299, 4141, 244, 1188, 28509, 1105, 7579, 7224, 176, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 126, 119, 1667, 1186, 3958, 4283, 1197, 8787, 1125, 8483, 9586, 119, 1527, 1299, 1382, 1836, 2081, 8905, 5364, 1188, 22938, 1753, 19889, 1346, 1188, 21967, 119, 1167, 1188, 22938, 1753, 13659, 1532, 3378, 1188, 21967, 121, 1768, 1299, 5119, 1369, 1125, 10796, 1125, 1293, 2026, 3286, 1125, 488, 124, 132, 132, 126, 1188, 488, 124, 132, 132, 131, 26639, 7354, 8328, 1227, 25549, 20460, 6508, 119, 1165, 3948, 1707, 9271, 119, 9776, 5523, 121, 1768, 1299, 1268, 1640, 1186, 3812, 1125, 1753, 5612, 1361, 1325, 2314, 1390, 1188, 3862, 1125, 488, 124, 132, 132, 131, 2567, 1125, 8753, 1270, 7497, 1314, 1270, 1452, 10468, 1125, 1158, 10538, 28808, 1125, 1200, 1507, 5250, 1186, 488, 125, 123, 123, 129, 121, 1768, 1299, 12688, 1106, 12920, 1125, 1158, 10538, 28808, 1125, 30773, 1170, 488, 124, 128, 2875, 488, 125, 123, 124, 125, 8155, 488, 130, 3012, 488, 125, 123, 124, 130, 119, 1527, 1299, 12688, 2682, 17215, 1125, 3676, 1319, 2006, 119, 20360, 1170, 488, 125, 125, 2798, 1167, 5909, 1909, 8700, 1188, 1282, 24278, 488, 125, 123, 124, 130, 121, 1768, 1299, 18640, 1317, 9209, 1215, 1170, 31985, 1197, 21218, 1979, 1104, 1125, 1158, 10538, 28808, 1125, 3676, 1319, 2006, 1170, 488, 128, 2738, 488, 125, 123, 124, 130, 1167, 1594, 31228, 6672, 1303, 1188, 4524, 1204, 1554, 1213, 1170, 488, 128, 2798, 488, 125, 123, 124, 130, 121, 1548, 488, 125, 125, 2798, 488, 125, 123, 124, 130, 119, 1527, 1299, 20360, 2682, 17215, 1215, 10905, 25157, 17215, 4172, 1173, 1129, 1174, 192, 1188, 4524, 1204, 1554, 1213, 1388, 162, 1142, 174, 2085, 1299, 9503, 1125, 24650, 4279, 9271, 119, 13793, 27670, 2585, 1527, 1110, 6403, 244, 1256, 1282, 1404, 3315, 8155, 488, 124, 130, 2749, 488, 125, 123, 125, 126, 119, 16860, 174, 2085, 1299, 19160, 1188, 1158, 15890, 1197, 1115, 8799, 1186, 4083, 1309, 12492, 20574, 2113, 1388, 162, 1142, 174, 2085, 1299, 1557, 3649, 1188, 18851, 18405, 119, 1318, 15644, 2100, 1167, 1318, 10337, 1535, 1774, 1188, 21455, 27284, 2100, 1125, 3318, 13613, 1657, 4651, 2004, 2069, 4661, 24890, 7364, 5825, 2093, 224, 24116, 1125, 1753, 4172, 1361, 9168, 14091, 195, 7362, 12537, 3400, 1186, 488, 124, 132, 129, 124, 5526, 193, 17215, 8214, 1380, 1119, 29605, 1237, 7551, 1125, 3676, 1319, 2006, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1187, 181, 1174, 1204, 14503, 14232, 1170, 488, 124, 125, 2578, 488, 124, 132, 129, 126, 1188, 1350, 11086, 179, 14574, 1299, 1318, 15644, 2100, 1167, 4875, 1125, 13837, 26561, 18131, 1965, 1317, 1148, 1278, 1125, 9337, 1256, 1158, 12614, 14231, 21311, 1187, 181, 1174, 1204, 1212, 2511, 1123, 1188, 1204, 12846, 1189, 7130, 26561, 18131, 1227, 6279, 173, 1199, 21930, 1595, 1129, 1164, 1105, 3850, 3450, 1299, 7628, 13825, 1303, 1227, 1204, 7288, 154, 1175, 1269, 174, 1303, 11990, 116, 1167, 1125, 1158, 1202, 3354, 154, 1175, 3292, 1304, 1811, 12397, 1576, 15530, 7230, 1288, 8718, 1188, 12049, 2944, 2399, 7606, 1370, 1317, 5763, 5657, 179, 2469, 119, 1318, 17030, 7993, 5341, 19174, 1188, 1233, 13291, 2036, 11027, 488, 125, 123, 123, 128, 119, 2399, 5617, 1188, 2658, 3163, 4537, 1653, 1408, 1125, 9337, 1256, 1158, 12614, 119, 2399, 5617, 1197, 21012, 1256, 1197, 13018, 1304, 9570, 1167, 1197, 20226, 2252, 13699, 1187, 181, 1174, 1204, 1212, 5617, 1256, 5542, 11391, 1346, 1227, 18870, 4319, 1199, 1175, 129, 2165, 1167, 6698, 7706, 1309, 15689, 1120, 1167, 21981, 1804, 7972, 1571, 9337, 19677, 1571, 31050, 1125, 488, 124, 125, 2165, 1167, 1408, 25886, 4096, 22745, 2732, 1278, 1125, 1408, 1125, 488, 131, 123, 9337, 1256, 1158, 12614, 1167, 9526, 7329, 1313, 1207, 2609, 21407, 26508, 181, 1174, 1204, 1212, 1299, 1318, 1197, 14756, 15644, 1925, 4716, 20888, 1317, 24411, 1128, 1157, 3672, 1158, 6360, 1227, 5509, 1256, 1158, 12614, 488, 125, 123, 124, 129, 121, 3450, 15098, 1416, 1687, 1170, 5509, 2308, 2240, 1334, 1256, 1816, 7793, 119, 15112, 1856, 1189, 1166, 12132, 1571, 22251, 6631, 1808, 11128, 12049, 1672, 5998, 30594, 1197, 9011, 8998, 1274, 1153, 1125, 1909, 9337, 7745, 1105, 5509, 13436, 488, 130, 1175, 125, 123, 123, 132, 116, 1110, 1913, 1622, 8765, 1125, 1158, 4575, 15767, 11524, 7445, 1125, 11658, 1315, 1321, 4532, 18993, 173, 6768, 5958, 9911, 488, 125, 123, 124, 130, 116, 1167, 1110, 1913, 2069, 2768, 14317, 119, 1186, 488, 125, 123, 124, 128, 119, 1256, 1170, 9452, 26561, 2621, 3589, 179, 1510, 2607, 1167, 10816, 1388, 8044, 2092, 21311, 1187, 181, 1174, 1204, 1212, 1299, 10568, 5499, 1303, 1313, 1158, 8146, 5277, 26561, 18131, 1965, 3747, 1313, 30402, 26821, 1266, 157, 7440, 7584, 3583, 182, 189, 2851, 1192, 5730, 2442, 1309, 1313, 1158, 8146, 17802, 1167, 11012, 15735, 11582, 2335, 2803, 8998, 3925, 1300, 1170, 1865, 1198, 9509, 1206, 8719, 1156, 1201, 4880, 2805, 1131, 3123, 4023, 15539, 6550, 2620, 2445, 119, 1125, 8290, 2097, 1313, 1158, 8146, 20020, 9663, 13449, 1424, 124, 132, 132, 131, 1257, 1202, 8003, 106, 124, 132, 132, 132, 1257, 1306, 1130, 1177, 1670, 17049, 15569, 9995, 1124, 2166, 7497, 106, 125, 123, 123, 123, 1257, 1233, 2715, 4120, 10009, 125, 123, 123, 124, 1257, 1293, 1475, 3799, 106, 125, 123, 123, 125, 1257, 1293, 11812, 1140, 14935, 1140, 106, 125, 123, 123, 126, 1257, 6818, 106, 125, 123, 123, 127, 1257, 1352, 2314, 106, 125, 123, 123, 127, 1257, 1202, 8003, 106, 125, 123, 123, 130, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 13436, 488, 130, 119, 14317, 2069, 2768, 1186, 8196, 1257, 13436, 488, 130, 119, 10816, 1167, 1321, 1510, 1462, 2207, 5275, 185, 2543, 4206, 3174, 26561, 18131, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 124, 123, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 128, 1257, 7831, 1153, 106, 125, 123, 124, 128, 1257, 1202, 8003, 106, 125, 123, 124, 129, 1257, 488, 125, 142, 106, 125, 123, 124, 129, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 9323, 1167, 16828, 5825, 2093, 141, 13449, 10554, 1300, 4847, 1164, 181, 2094, 7145, 2181, 185, 183, 2056, 11741, 1300, 1548, 1104, 3849, 7965, 1865, 14580, 1256, 1158, 12614, 7885, 3400, 1186, 2578, 488, 124, 132, 129, 126, 8156, 1313, 1158, 10660, 1125, 6279, 173, 1199, 21930, 1595, 1129, 1164, 25919, 5526, 31958, 1262, 26561, 18131, 1227, 12136, 25525, 6298, 2105, 25736, 1125, 13837, 26561, 2621, 4964, 32001, 1424, 32000, 20036, 1720, 1187, 181, 1174, 1204, 14503, 14232, 1170, 488, 124, 125, 2578, 488, 124, 132, 129, 126, 1188, 1350, 11086, 179, 14574, 1299, 1318, 15644, 2100, 1167, 4875, 1125, 13837, 26561, 18131, 1965, 1317, 1148, 1278, 1125, 9337, 1256, 1158, 12614, 14231, 21311, 1187, 181, 1174, 1204, 1212, 2511, 1123, 1188, 1204, 12846, 1189, 7130, 26561, 18131, 1227, 6279, 173, 1199, 21930, 1595, 1129, 1164, 1105, 3850, 3450, 1299, 7628, 13825, 1303, 1227, 1204, 7288, 154, 1175, 1269, 174, 1303, 11990, 116, 1167, 1125, 1158, 1202, 3354, 154, 1175, 3292, 1304, 1811, 12397, 1576, 15530, 7230, 1288, 8718, 1188, 12049, 2944, 2399, 7606, 1370, 1317, 5763, 5657, 179, 2469, 119, 1318, 17030, 7993, 5341, 19174, 1188, 1233, 13291, 2036, 11027, 488, 125, 123, 123, 128, 119, 2399, 5617, 1188, 2658, 3163, 4537, 1653, 1408, 1125, 9337, 1256, 1158, 12614, 119, 2399, 5617, 1197, 21012, 1256, 1197, 13018, 1304, 9570, 1167, 1197, 20226, 2252, 13699, 1187, 181, 1174, 1204, 1212, 5617, 1256, 5542, 11391, 1346, 1227, 18870, 4319, 1199, 1175, 129, 2165, 1167, 6698, 7706, 1309, 15689, 1120, 1167, 21981, 1804, 7972, 1571, 9337, 19677, 1571, 31050, 1125, 488, 124, 125, 2165, 1167, 1408, 25886, 4096, 22745, 2732, 1278, 1125, 1408, 1125, 488, 131, 123, 9337, 1256, 1158, 12614, 1167, 9526, 7329, 1313, 1207, 2609, 21407, 26508, 181, 1174, 1204, 1212, 1299, 1318, 1197, 14756, 15644, 1925, 4716, 20888, 1317, 24411, 1128, 1157, 3672, 1158, 6360, 1227, 5509, 1256, 1158, 12614, 488, 125, 123, 124, 129, 121, 3450, 15098, 1416, 1687, 1170, 5509, 2308, 2240, 1334, 1256, 1816, 7793, 119, 15112, 1856, 1189, 1166, 12132, 1571, 22251, 6631, 1808, 11128, 12049, 1672, 5998, 30594, 1197, 9011, 8998, 1274, 1153, 1125, 1909, 9337, 7745, 1105, 5509, 13436, 488, 130, 1175, 125, 123, 123, 132, 116, 1110, 1913, 1622, 8765, 1125, 1158, 4575, 15767, 11524, 7445, 1125, 11658, 1315, 1321, 4532, 18993, 173, 6768, 5958, 9911, 488, 125, 123, 124, 130, 116, 1167, 1110, 1913, 2069, 2768, 14317, 119, 1186, 488, 125, 123, 124, 128, 119, 1256, 1170, 9452, 26561, 2621, 3589, 179, 1510, 2607, 1167, 10816, 1388, 8044, 2092, 21311, 1187, 181, 1174, 1204, 1212, 1299, 10568, 5499, 1303, 1313, 1158, 8146, 5277, 26561, 18131, 1965, 3747, 1313, 30402, 26821, 1266, 157, 7440, 7584, 3583, 182, 189, 2851, 1192, 5730, 2442, 1309, 1313, 1158, 8146, 17802, 1167, 11012, 15735, 11582, 2335, 2803, 8998, 3925, 1300, 1170, 1865, 1198, 9509, 1206, 8719, 1156, 1201, 4880, 2805, 1131, 3123, 4023, 15539, 6550, 2620, 2445, 119, 1125, 8290, 2097, 1313, 1158, 8146, 20020, 9663, 13449, 1424, 124, 132, 132, 131, 1257, 1202, 8003, 106, 124, 132, 132, 132, 1257, 1306, 1130, 1177, 1670, 17049, 15569, 9995, 1124, 2166, 7497, 106, 125, 123, 123, 123, 1257, 1233, 2715, 4120, 10009, 125, 123, 123, 124, 1257, 1293, 1475, 3799, 106, 125, 123, 123, 125, 1257, 1293, 11812, 1140, 14935, 1140, 106, 125, 123, 123, 126, 1257, 6818, 106, 125, 123, 123, 127, 1257, 1352, 2314, 106, 125, 123, 123, 127, 1257, 1202, 8003, 106, 125, 123, 123, 130, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 13436, 488, 130, 119, 14317, 2069, 2768, 1186, 8196, 1257, 13436, 488, 130, 119, 10816, 1167, 1321, 1510, 1462, 2207, 5275, 185, 2543, 4206, 3174, 26561, 18131, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 124, 123, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 128, 1257, 7831, 1153, 106, 125, 123, 124, 128, 1257, 1202, 8003, 106, 125, 123, 124, 129, 1257, 488, 125, 142, 106, 125, 123, 124, 129, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 9323, 1167, 16828, 5825, 2093, 141, 13449, 10554, 1300, 4847, 1164, 181, 2094, 7145, 2181, 185, 183, 2056, 11741, 1300, 1548, 1104, 3849, 7965, 1865, 14580, 1256, 1158, 12614, 7885, 3400, 1186, 2578, 488, 124, 132, 129, 126, 8156, 1313, 1158, 10660, 1125, 6279, 173, 1199, 21930, 1595, 1129, 1164, 25919, 5526, 31958, 1262, 26561, 18131, 1227, 12136, 25525, 6298, 2105, 25736, 1125, 13837, 26561, 2621, 4964, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 1187, 181, 1174, 1204, 14503, 14232, 1170, 488, 124, 125, 2578, 488, 124, 132, 129, 126, 1188, 1350, 11086, 179, 14574, 1299, 1318, 15644, 2100, 1167, 4875, 1125, 13837, 26561, 18131, 1965, 1317, 1148, 1278, 1125, 9337, 1256, 1158, 12614, 14231, 21311, 1187, 181, 1174, 1204, 1212, 2511, 1123, 1188, 1204, 12846, 1189, 7130, 26561, 18131, 1227, 6279, 173, 1199, 21930, 1595, 1129, 1164, 1105, 3850, 3450, 1299, 7628, 13825, 1303, 1227, 1204, 7288, 154, 1175, 1269, 174, 1303, 11990, 116, 1167, 1125, 1158, 1202, 3354, 154, 1175, 3292, 1304, 1811, 12397, 1576, 15530, 7230, 1288, 8718, 1188, 12049, 2944, 2399, 7606, 1370, 1317, 5763, 5657, 179, 2469, 119, 1318, 17030, 7993, 5341, 19174, 1188, 1233, 13291, 2036, 11027, 488, 125, 123, 123, 128, 119, 2399, 5617, 1188, 2658, 3163, 4537, 1653, 1408, 1125, 9337, 1256, 1158, 12614, 119, 2399, 5617, 1197, 21012, 1256, 1197, 13018, 1304, 9570, 1167, 1197, 20226, 2252, 13699, 1187, 181, 1174, 1204, 1212, 5617, 1256, 5542, 11391, 1346, 1227, 18870, 4319, 1199, 1175, 129, 2165, 1167, 6698, 7706, 1309, 15689, 1120, 1167, 21981, 1804, 7972, 1571, 9337, 19677, 1571, 31050, 1125, 488, 124, 125, 2165, 1167, 1408, 25886, 4096, 22745, 2732, 1278, 1125, 1408, 1125, 488, 131, 123, 9337, 1256, 1158, 12614, 1167, 9526, 7329, 1313, 1207, 2609, 21407, 26508, 181, 1174, 1204, 1212, 1299, 1318, 1197, 14756, 15644, 1925, 4716, 20888, 1317, 24411, 1128, 1157, 3672, 1158, 6360, 1227, 5509, 1256, 1158, 12614, 488, 125, 123, 124, 129, 121, 3450, 15098, 1416, 1687, 1170, 5509, 2308, 2240, 1334, 1256, 1816, 7793, 119, 15112, 1856, 1189, 1166, 12132, 1571, 22251, 6631, 1808, 11128, 12049, 1672, 5998, 30594, 1197, 9011, 8998, 1274, 1153, 1125, 1909, 9337, 7745, 1105, 5509, 13436, 488, 130, 1175, 125, 123, 123, 132, 116, 1110, 1913, 1622, 8765, 1125, 1158, 4575, 15767, 11524, 7445, 1125, 11658, 1315, 1321, 4532, 18993, 173, 6768, 5958, 9911, 488, 125, 123, 124, 130, 116, 1167, 1110, 1913, 2069, 2768, 14317, 119, 1186, 488, 125, 123, 124, 128, 119, 1256, 1170, 9452, 26561, 2621, 3589, 179, 1510, 2607, 1167, 10816, 1388, 8044, 2092, 21311, 1187, 181, 1174, 1204, 1212, 1299, 10568, 5499, 1303, 1313, 1158, 8146, 5277, 26561, 18131, 1965, 3747, 1313, 30402, 26821, 1266, 157, 7440, 7584, 3583, 182, 189, 2851, 1192, 5730, 2442, 1309, 1313, 1158, 8146, 17802, 1167, 11012, 15735, 11582, 2335, 2803, 8998, 3925, 1300, 1170, 1865, 1198, 9509, 1206, 8719, 1156, 1201, 4880, 2805, 1131, 3123, 4023, 15539, 6550, 2620, 2445, 119, 1125, 8290, 2097, 1313, 1158, 8146, 20020, 9663, 13449, 1424, 124, 132, 132, 131, 1257, 1202, 8003, 106, 124, 132, 132, 132, 1257, 1306, 1130, 1177, 1670, 17049, 15569, 9995, 1124, 2166, 7497, 106, 125, 123, 123, 123, 1257, 1233, 2715, 4120, 10009, 125, 123, 123, 124, 1257, 1293, 1475, 3799, 106, 125, 123, 123, 125, 1257, 1293, 11812, 1140, 14935, 1140, 106, 125, 123, 123, 126, 1257, 6818, 106, 125, 123, 123, 127, 1257, 1352, 2314, 106, 125, 123, 123, 127, 1257, 1202, 8003, 106, 125, 123, 123, 130, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 13436, 488, 130, 119, 14317, 2069, 2768, 1186, 8196, 1257, 13436, 488, 130, 119, 10816, 1167, 1321, 1510, 1462, 2207, 5275, 185, 2543, 4206, 3174, 26561, 18131, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 123, 132, 1257, 1202, 8003, 106, 125, 123, 124, 123, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 124, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 125, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 126, 1257, 1202, 8003, 106, 125, 123, 124, 128, 1257, 7831, 1153, 106, 125, 123, 124, 128, 1257, 1202, 8003, 106, 125, 123, 124, 129, 1257, 488, 125, 142, 106, 125, 123, 124, 129, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 106, 125, 123, 124, 130, 1257, 1202, 8003, 9323, 1167, 16828, 5825, 2093, 141, 13449, 10554, 1300, 4847, 1164, 181, 2094, 7145, 2181, 185, 183, 2056, 11741, 1300, 1548, 1104, 3849, 7965, 1865, 14580, 1256, 1158, 12614, 7885, 3400, 1186, 2578, 488, 124, 132, 129, 126, 8156, 1313, 1158, 10660, 1125, 6279, 173, 1199, 21930, 1595, 1129, 1164, 25919, 5526, 31958, 1262, 26561, 18131, 1227, 12136, 25525, 6298, 2105, 25736, 1125, 13837, 26561, 2621, 4964, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 1598, 1200, 19929, 1299, 1158, 14805, 21364, 1227, 11824, 5328, 26859, 11493, 2442, 1309, 1158, 14805, 1125, 1561, 4446, 1313, 1158, 6751, 3701, 1188, 3288, 1620, 29248, 3450, 1281, 18381, 1300, 2571, 4460, 1468, 29646, 3955, 1188, 1867, 1569, 1109, 20481, 14860, 1200, 19929, 1299, 1318, 3828, 4685, 1125, 2069, 1754, 1741, 10019, 1300, 1189, 9108, 1125, 488, 488, 127, 488, 128, 488, 123, 123, 488, 13061, 1734, 189, 4413, 4060, 5946, 4516, 2985, 1158, 3453, 1188, 1823, 27537, 1167, 3031, 27215, 23172, 1317, 11133, 1227, 24752, 1197, 4444, 14817, 3450, 2985, 1543, 1118, 1303, 12048, 1317, 11824, 5328, 3817, 1207, 5031, 1300, 1207, 2905, 17355, 2027, 15935, 488, 1894, 1203, 1473, 488, 1256, 4262, 1125, 18184, 19813, 23533, 30079, 2985, 27537, 1125, 488, 124, 132, 125, 129, 1188, 488, 124, 132, 125, 130, 119, 1167, 2985, 15633, 1215, 1189, 28431, 1125, 19595, 20973, 6709, 14187, 20800, 1161, 1293, 1126, 1897, 121, 1643, 17524, 21172, 1110, 1913, 11858, 2290, 1158, 3185, 9040, 2519, 11401, 7886, 25449, 4549, 1125, 10357, 11270, 6664, 1248, 7133, 1200, 2988, 3486, 186, 1731, 8155, 3151, 11824, 5328, 1188, 10743, 2177, 1313, 1410, 1200, 19929, 2985, 15432, 4279, 3261, 192, 7467, 1357, 2368, 6147, 172, 1186, 1859, 2750, 1309, 1158, 17128, 2985, 14663, 1303, 1125, 10357, 29401, 1188, 3288, 1620, 29248, 6218, 2735, 31547, 8590, 2941, 1770, 1109, 1175, 124, 132, 125, 132, 120, 124, 132, 126, 125, 116, 3618, 119, 3042, 3365, 3031, 10321, 1125, 1282, 15511, 119, 11286, 244, 2714, 1207, 5652, 1125, 6490, 1125, 1410, 1200, 19929, 2040, 2072, 2368, 6147, 172, 9131, 1188, 18163, 7863, 3288, 1620, 1154, 7958, 114, 1551, 2497, 18378, 2251, 15579, 116, 7542, 1594, 13838, 1125, 11824, 24752, 121, 1165, 1769, 2388, 1594, 2735, 15493, 4819, 10935, 7163, 7816, 4040, 1123, 1125, 2368, 20285, 1188, 1410, 1200, 19929, 1167, 2183, 1909, 2735, 15493, 1392, 2004, 1844, 1125, 2076, 1188, 26975, 1125, 1257, 2056, 1108, 1539, 1221, 4279, 5007, 26503, 24752, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 127, 132, 116, 1357, 7139, 1797, 1170, 30480, 1154, 181, 1510, 9372, 3561, 2585, 17355, 1370, 1188, 21396, 1158, 10597, 1197, 6626, 8443, 1227, 1921, 7606, 2038, 26859, 1354, 1167, 2585, 1527, 31019, 1178, 488, 1186, 488, 124, 132, 128, 124, 488, 1167, 4172, 28287, 4497, 26503, 24752, 1125, 488, 124, 132, 132, 129, 1188, 488, 125, 123, 123, 130, 116, 1357, 4040, 1123, 1125, 1288, 2022, 2282, 1188, 1410, 1200, 19929, 1309, 4885, 1909, 8700, 1282, 11254, 176, 2457, 9033, 1188, 3288, 1620, 1154, 1167, 1357, 4393, 172, 1170, 4933, 1227, 2658, 1188, 17575, 5804, 1292, 180, 6842, 1188, 27839, 11488, 1167, 5474, 12662, 7695, 1186, 6801, 1214, 6801, 1214, 30554, 6431, 2601, 3556, 32001, 1424, 32000, 20036, 3616, 1200, 19929, 1299, 1158, 14805, 21364, 1227, 11824, 5328, 26859, 11493, 2442, 1309, 1158, 14805, 1125, 1561, 4446, 1313, 1158, 6751, 3701, 1188, 3288, 1620, 29248, 3450, 1281, 18381, 1300, 2571, 4460, 1468, 29646, 3955, 1188, 1867, 1569, 1109, 20481, 14860, 1200, 19929, 1299, 1318, 3828, 4685, 1125, 2069, 1754, 1741, 10019, 1300, 1189, 9108, 1125, 488, 488, 127, 488, 128, 488, 123, 123, 488, 13061, 1734, 189, 4413, 4060, 5946, 4516, 2985, 1158, 3453, 1188, 1823, 27537, 1167, 3031, 27215, 23172, 1317, 11133, 1227, 24752, 1197, 4444, 14817, 3450, 2985, 1543, 1118, 1303, 12048, 1317, 11824, 5328, 3817, 1207, 5031, 1300, 1207, 2905, 17355, 2027, 15935, 488, 1894, 1203, 1473, 488, 1256, 4262, 1125, 18184, 19813, 23533, 30079, 2985, 27537, 1125, 488, 124, 132, 125, 129, 1188, 488, 124, 132, 125, 130, 119, 1167, 2985, 15633, 1215, 1189, 28431, 1125, 19595, 20973, 6709, 14187, 20800, 1161, 1293, 1126, 1897, 121, 1643, 17524, 21172, 1110, 1913, 11858, 2290, 1158, 3185, 9040, 2519, 11401, 7886, 25449, 4549, 1125, 10357, 11270, 6664, 1248, 7133, 1200, 2988, 3486, 186, 1731, 8155, 3151, 11824, 5328, 1188, 10743, 2177, 1313, 1410, 1200, 19929, 2985, 15432, 4279, 3261, 192, 7467, 1357, 2368, 6147, 172, 1186, 1859, 2750, 1309, 1158, 17128, 2985, 14663, 1303, 1125, 10357, 29401, 1188, 3288, 1620, 29248, 6218, 2735, 31547, 8590, 2941, 1770, 1109, 1175, 124, 132, 125, 132, 120, 124, 132, 126, 125, 116, 3618, 119, 3042, 3365, 3031, 10321, 1125, 1282, 15511, 119, 11286, 244, 2714, 1207, 5652, 1125, 6490, 1125, 1410, 1200, 19929, 2040, 2072, 2368, 6147, 172, 9131, 1188, 18163, 7863, 3288, 1620, 1154, 7958, 114, 1551, 2497, 18378, 2251, 15579, 116, 7542, 1594, 13838, 1125, 11824, 24752, 121, 1165, 1769, 2388, 1594, 2735, 15493, 4819, 10935, 7163, 7816, 4040, 1123, 1125, 2368, 20285, 1188, 1410, 1200, 19929, 1167, 2183, 1909, 2735, 15493, 1392, 2004, 1844, 1125, 2076, 1188, 26975, 1125, 1257, 2056, 1108, 1539, 1221, 4279, 5007, 26503, 24752, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 127, 132, 116, 1357, 7139, 1797, 1170, 30480, 1154, 181, 1510, 9372, 3561, 2585, 17355, 1370, 1188, 21396, 1158, 10597, 1197, 6626, 8443, 1227, 1921, 7606, 2038, 26859, 1354, 1167, 2585, 1527, 31019, 1178, 488, 1186, 488, 124, 132, 128, 124, 488, 1167, 4172, 28287, 4497, 26503, 24752, 1125, 488, 124, 132, 132, 129, 1188, 488, 125, 123, 123, 130, 116, 1357, 4040, 1123, 1125, 1288, 2022, 2282, 1188, 1410, 1200, 19929, 1309, 4885, 1909, 8700, 1282, 11254, 176, 2457, 9033, 1188, 3288, 1620, 1154, 1167, 1357, 4393, 172, 1170, 4933, 1227, 2658, 1188, 17575, 5804, 1292, 180, 6842, 1188, 27839, 11488, 1167, 5474, 12662, 7695, 1186, 6801, 1214, 6801, 1214, 30554, 6431, 2601, 3556, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3616, 1200, 19929, 1299, 1158, 14805, 21364, 1227, 11824, 5328, 26859, 11493, 2442, 1309, 1158, 14805, 1125, 1561, 4446, 1313, 1158, 6751, 3701, 1188, 3288, 1620, 29248, 3450, 1281, 18381, 1300, 2571, 4460, 1468, 29646, 3955, 1188, 1867, 1569, 1109, 20481, 14860, 1200, 19929, 1299, 1318, 3828, 4685, 1125, 2069, 1754, 1741, 10019, 1300, 1189, 9108, 1125, 488, 488, 127, 488, 128, 488, 123, 123, 488, 13061, 1734, 189, 4413, 4060, 5946, 4516, 2985, 1158, 3453, 1188, 1823, 27537, 1167, 3031, 27215, 23172, 1317, 11133, 1227, 24752, 1197, 4444, 14817, 3450, 2985, 1543, 1118, 1303, 12048, 1317, 11824, 5328, 3817, 1207, 5031, 1300, 1207, 2905, 17355, 2027, 15935, 488, 1894, 1203, 1473, 488, 1256, 4262, 1125, 18184, 19813, 23533, 30079, 2985, 27537, 1125, 488, 124, 132, 125, 129, 1188, 488, 124, 132, 125, 130, 119, 1167, 2985, 15633, 1215, 1189, 28431, 1125, 19595, 20973, 6709, 14187, 20800, 1161, 1293, 1126, 1897, 121, 1643, 17524, 21172, 1110, 1913, 11858, 2290, 1158, 3185, 9040, 2519, 11401, 7886, 25449, 4549, 1125, 10357, 11270, 6664, 1248, 7133, 1200, 2988, 3486, 186, 1731, 8155, 3151, 11824, 5328, 1188, 10743, 2177, 1313, 1410, 1200, 19929, 2985, 15432, 4279, 3261, 192, 7467, 1357, 2368, 6147, 172, 1186, 1859, 2750, 1309, 1158, 17128, 2985, 14663, 1303, 1125, 10357, 29401, 1188, 3288, 1620, 29248, 6218, 2735, 31547, 8590, 2941, 1770, 1109, 1175, 124, 132, 125, 132, 120, 124, 132, 126, 125, 116, 3618, 119, 3042, 3365, 3031, 10321, 1125, 1282, 15511, 119, 11286, 244, 2714, 1207, 5652, 1125, 6490, 1125, 1410, 1200, 19929, 2040, 2072, 2368, 6147, 172, 9131, 1188, 18163, 7863, 3288, 1620, 1154, 7958, 114, 1551, 2497, 18378, 2251, 15579, 116, 7542, 1594, 13838, 1125, 11824, 24752, 121, 1165, 1769, 2388, 1594, 2735, 15493, 4819, 10935, 7163, 7816, 4040, 1123, 1125, 2368, 20285, 1188, 1410, 1200, 19929, 1167, 2183, 1909, 2735, 15493, 1392, 2004, 1844, 1125, 2076, 1188, 26975, 1125, 1257, 2056, 1108, 1539, 1221, 4279, 5007, 26503, 24752, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 127, 132, 116, 1357, 7139, 1797, 1170, 30480, 1154, 181, 1510, 9372, 3561, 2585, 17355, 1370, 1188, 21396, 1158, 10597, 1197, 6626, 8443, 1227, 1921, 7606, 2038, 26859, 1354, 1167, 2585, 1527, 31019, 1178, 488, 1186, 488, 124, 132, 128, 124, 488, 1167, 4172, 28287, 4497, 26503, 24752, 1125, 488, 124, 132, 132, 129, 1188, 488, 125, 123, 123, 130, 116, 1357, 4040, 1123, 1125, 1288, 2022, 2282, 1188, 1410, 1200, 19929, 1309, 4885, 1909, 8700, 1282, 11254, 176, 2457, 9033, 1188, 3288, 1620, 1154, 1167, 1357, 4393, 172, 1170, 4933, 1227, 2658, 1188, 17575, 5804, 1292, 180, 6842, 1188, 27839, 11488, 1167, 5474, 12662, 7695, 1186, 6801, 1214, 6801, 1214, 30554, 6431, 2601, 3556, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 153, 15113, 488, 127, 131, 129, 131, 1299, 1318, 29390, 1214, 1499, 4816, 1126, 10019, 1313, 1158, 2227, 16377, 1197, 1539, 2624, 1125, 17484, 121, 6280, 12029, 1215, 3598, 1317, 3080, 12112, 24503, 6255, 1299, 1125, 488, 129, 126, 123, 123, 7275, 122, 1285, 1440, 1357, 4113, 1188, 1318, 6477, 1125, 17851, 1599, 1125, 488, 124, 125, 124, 5743, 16981, 1473, 2992, 1255, 1774, 121, 1266, 15113, 488, 127, 131, 129, 131, 1110, 1913, 12381, 1215, 1282, 17770, 19100, 1185, 5597, 186, 2687, 9388, 1460, 7451, 1306, 1201, 1512, 183, 1186, 488, 124, 130, 131, 130, 10803, 5971, 1125, 6126, 12170, 1348, 1125, 1266, 15113, 488, 127, 131, 129, 129, 1299, 1209, 120, 3463, 1167, 2399, 5004, 1318, 3564, 1501, 1214, 1306, 148, 27404, 1440, 11823, 3203, 6560, 2081, 2306, 1473, 1300, 1170, 29038, 1272, 2079, 1170, 10293, 1175, 2395, 30083, 116, 17272, 1318, 6477, 1125, 488, 124, 124, 130, 5743, 16981, 1473, 2992, 1255, 13476, 1440, 1357, 1299, 20167, 1160, 1188, 28347, 1197, 9585, 1125, 1158, 6477, 1125, 17851, 1599, 121, 6457, 1376, 11103, 1309, 3557, 1469, 1158, 5219, 8468, 1197, 6560, 16421, 1346, 13625, 1717, 3495, 3310, 1309, 1158, 2989, 1125, 2802, 20517, 140, 122, 4725, 2450, 15985, 1890, 1170, 23486, 2519, 29390, 1214, 1167, 8688, 18530, 1170, 23486, 1125, 1266, 15113, 488, 127, 131, 129, 131, 6462, 1823, 1125, 488, 124, 123, 123, 488, 123, 123, 123, 4092, 2992, 1255, 1774, 1995, 1238, 1945, 1370, 1158, 6477, 1125, 17851, 1599, 1256, 1170, 29912, 15826, 2740, 1125, 1266, 15113, 488, 127, 132, 124, 127, 1628, 3015, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 131, 1215, 29743, 5523, 6353, 1337, 1224, 20101, 1266, 15113, 488, 127, 131, 129, 131, 1844, 3247, 1227, 3274, 1125, 1266, 15113, 488, 127, 132, 124, 127, 119, 1158, 29390, 1214, 1158, 1408, 13254, 2009, 1125, 1440, 3274, 1125, 29390, 1429, 1357, 9016, 1317, 2864, 7762, 4634, 121, 1808, 2905, 29390, 1429, 1227, 3274, 1508, 1266, 15113, 488, 127, 132, 124, 127, 119, 1266, 15113, 488, 127, 132, 128, 129, 119, 1266, 15113, 488, 127, 132, 131, 129, 1167, 24094, 488, 127, 124, 131, 132, 8509, 114, 5014, 8229, 7747, 3341, 28219, 1575, 6216, 1245, 2072, 24489, 1125, 1440, 3274, 1313, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 126, 119, 1723, 1527, 11437, 8017, 1309, 3203, 29390, 3939, 2666, 1266, 15113, 488, 127, 131, 127, 129, 119, 1266, 15113, 488, 127, 131, 129, 131, 1167, 1266, 15113, 488, 127, 132, 124, 127, 11488, 1167, 20117, 20544, 11052, 27012, 1197, 12754, 1227, 2482, 8619, 24388, 1277, 7364, 5825, 4713, 15113, 488, 127, 131, 129, 131, 1300, 1170, 1865, 1227, 13787, 9207, 22926, 1205, 1712, 1194, 127, 131, 129, 131, 6343, 1243, 16377, 1197, 1539, 2624, 1125, 17484, 2911, 1132, 2012, 1214, 1499, 4816, 1126, 2911, 1132, 2012, 1214, 1188, 27986, 1334, 1931, 1221, 16806, 1843, 29346, 12866, 1186, 488, 124, 130, 131, 130, 16806, 1843, 29346, 12866, 1215, 7451, 1306, 1201, 1512, 183, 32001, 1424, 32000, 20036, 1875, 15113, 488, 127, 131, 129, 131, 1299, 1318, 29390, 1214, 1499, 4816, 1126, 10019, 1313, 1158, 2227, 16377, 1197, 1539, 2624, 1125, 17484, 121, 6280, 12029, 1215, 3598, 1317, 3080, 12112, 24503, 6255, 1299, 1125, 488, 129, 126, 123, 123, 7275, 122, 1285, 1440, 1357, 4113, 1188, 1318, 6477, 1125, 17851, 1599, 1125, 488, 124, 125, 124, 5743, 16981, 1473, 2992, 1255, 1774, 121, 1266, 15113, 488, 127, 131, 129, 131, 1110, 1913, 12381, 1215, 1282, 17770, 19100, 1185, 5597, 186, 2687, 9388, 1460, 7451, 1306, 1201, 1512, 183, 1186, 488, 124, 130, 131, 130, 10803, 5971, 1125, 6126, 12170, 1348, 1125, 1266, 15113, 488, 127, 131, 129, 129, 1299, 1209, 120, 3463, 1167, 2399, 5004, 1318, 3564, 1501, 1214, 1306, 148, 27404, 1440, 11823, 3203, 6560, 2081, 2306, 1473, 1300, 1170, 29038, 1272, 2079, 1170, 10293, 1175, 2395, 30083, 116, 17272, 1318, 6477, 1125, 488, 124, 124, 130, 5743, 16981, 1473, 2992, 1255, 13476, 1440, 1357, 1299, 20167, 1160, 1188, 28347, 1197, 9585, 1125, 1158, 6477, 1125, 17851, 1599, 121, 6457, 1376, 11103, 1309, 3557, 1469, 1158, 5219, 8468, 1197, 6560, 16421, 1346, 13625, 1717, 3495, 3310, 1309, 1158, 2989, 1125, 2802, 20517, 140, 122, 4725, 2450, 15985, 1890, 1170, 23486, 2519, 29390, 1214, 1167, 8688, 18530, 1170, 23486, 1125, 1266, 15113, 488, 127, 131, 129, 131, 6462, 1823, 1125, 488, 124, 123, 123, 488, 123, 123, 123, 4092, 2992, 1255, 1774, 1995, 1238, 1945, 1370, 1158, 6477, 1125, 17851, 1599, 1256, 1170, 29912, 15826, 2740, 1125, 1266, 15113, 488, 127, 132, 124, 127, 1628, 3015, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 131, 1215, 29743, 5523, 6353, 1337, 1224, 20101, 1266, 15113, 488, 127, 131, 129, 131, 1844, 3247, 1227, 3274, 1125, 1266, 15113, 488, 127, 132, 124, 127, 119, 1158, 29390, 1214, 1158, 1408, 13254, 2009, 1125, 1440, 3274, 1125, 29390, 1429, 1357, 9016, 1317, 2864, 7762, 4634, 121, 1808, 2905, 29390, 1429, 1227, 3274, 1508, 1266, 15113, 488, 127, 132, 124, 127, 119, 1266, 15113, 488, 127, 132, 128, 129, 119, 1266, 15113, 488, 127, 132, 131, 129, 1167, 24094, 488, 127, 124, 131, 132, 8509, 114, 5014, 8229, 7747, 3341, 28219, 1575, 6216, 1245, 2072, 24489, 1125, 1440, 3274, 1313, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 126, 119, 1723, 1527, 11437, 8017, 1309, 3203, 29390, 3939, 2666, 1266, 15113, 488, 127, 131, 127, 129, 119, 1266, 15113, 488, 127, 131, 129, 131, 1167, 1266, 15113, 488, 127, 132, 124, 127, 11488, 1167, 20117, 20544, 11052, 27012, 1197, 12754, 1227, 2482, 8619, 24388, 1277, 7364, 5825, 4713, 15113, 488, 127, 131, 129, 131, 1300, 1170, 1865, 1227, 13787, 9207, 22926, 1205, 1712, 1194, 127, 131, 129, 131, 6343, 1243, 16377, 1197, 1539, 2624, 1125, 17484, 2911, 1132, 2012, 1214, 1499, 4816, 1126, 2911, 1132, 2012, 1214, 1188, 27986, 1334, 1931, 1221, 16806, 1843, 29346, 12866, 1186, 488, 124, 130, 131, 130, 16806, 1843, 29346, 12866, 1215, 7451, 1306, 1201, 1512, 183, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1875, 15113, 488, 127, 131, 129, 131, 1299, 1318, 29390, 1214, 1499, 4816, 1126, 10019, 1313, 1158, 2227, 16377, 1197, 1539, 2624, 1125, 17484, 121, 6280, 12029, 1215, 3598, 1317, 3080, 12112, 24503, 6255, 1299, 1125, 488, 129, 126, 123, 123, 7275, 122, 1285, 1440, 1357, 4113, 1188, 1318, 6477, 1125, 17851, 1599, 1125, 488, 124, 125, 124, 5743, 16981, 1473, 2992, 1255, 1774, 121, 1266, 15113, 488, 127, 131, 129, 131, 1110, 1913, 12381, 1215, 1282, 17770, 19100, 1185, 5597, 186, 2687, 9388, 1460, 7451, 1306, 1201, 1512, 183, 1186, 488, 124, 130, 131, 130, 10803, 5971, 1125, 6126, 12170, 1348, 1125, 1266, 15113, 488, 127, 131, 129, 129, 1299, 1209, 120, 3463, 1167, 2399, 5004, 1318, 3564, 1501, 1214, 1306, 148, 27404, 1440, 11823, 3203, 6560, 2081, 2306, 1473, 1300, 1170, 29038, 1272, 2079, 1170, 10293, 1175, 2395, 30083, 116, 17272, 1318, 6477, 1125, 488, 124, 124, 130, 5743, 16981, 1473, 2992, 1255, 13476, 1440, 1357, 1299, 20167, 1160, 1188, 28347, 1197, 9585, 1125, 1158, 6477, 1125, 17851, 1599, 121, 6457, 1376, 11103, 1309, 3557, 1469, 1158, 5219, 8468, 1197, 6560, 16421, 1346, 13625, 1717, 3495, 3310, 1309, 1158, 2989, 1125, 2802, 20517, 140, 122, 4725, 2450, 15985, 1890, 1170, 23486, 2519, 29390, 1214, 1167, 8688, 18530, 1170, 23486, 1125, 1266, 15113, 488, 127, 131, 129, 131, 6462, 1823, 1125, 488, 124, 123, 123, 488, 123, 123, 123, 4092, 2992, 1255, 1774, 1995, 1238, 1945, 1370, 1158, 6477, 1125, 17851, 1599, 1256, 1170, 29912, 15826, 2740, 1125, 1266, 15113, 488, 127, 132, 124, 127, 1628, 3015, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 131, 1215, 29743, 5523, 6353, 1337, 1224, 20101, 1266, 15113, 488, 127, 131, 129, 131, 1844, 3247, 1227, 3274, 1125, 1266, 15113, 488, 127, 132, 124, 127, 119, 1158, 29390, 1214, 1158, 1408, 13254, 2009, 1125, 1440, 3274, 1125, 29390, 1429, 1357, 9016, 1317, 2864, 7762, 4634, 121, 1808, 2905, 29390, 1429, 1227, 3274, 1508, 1266, 15113, 488, 127, 132, 124, 127, 119, 1266, 15113, 488, 127, 132, 128, 129, 119, 1266, 15113, 488, 127, 132, 131, 129, 1167, 24094, 488, 127, 124, 131, 132, 8509, 114, 5014, 8229, 7747, 3341, 28219, 1575, 6216, 1245, 2072, 24489, 1125, 1440, 3274, 1313, 1189, 3477, 9053, 1186, 488, 124, 132, 132, 126, 119, 1723, 1527, 11437, 8017, 1309, 3203, 29390, 3939, 2666, 1266, 15113, 488, 127, 131, 127, 129, 119, 1266, 15113, 488, 127, 131, 129, 131, 1167, 1266, 15113, 488, 127, 132, 124, 127, 11488, 1167, 20117, 20544, 11052, 27012, 1197, 12754, 1227, 2482, 8619, 24388, 1277, 7364, 5825, 4713, 15113, 488, 127, 131, 129, 131, 1300, 1170, 1865, 1227, 13787, 9207, 22926, 1205, 1712, 1194, 127, 131, 129, 131, 6343, 1243, 16377, 1197, 1539, 2624, 1125, 17484, 2911, 1132, 2012, 1214, 1499, 4816, 1126, 2911, 1132, 2012, 1214, 1188, 27986, 1334, 1931, 1221, 16806, 1843, 29346, 12866, 1186, 488, 124, 130, 131, 130, 16806, 1843, 29346, 12866, 1215, 7451, 1306, 1201, 1512, 183, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 14469, 2405, 1202, 2007, 1105, 1248, 9695, 1242, 1299, 1189, 1329, 185, 1284, 12671, 26859, 11493, 5252, 1170, 488, 126, 2584, 488, 124, 131, 127, 125, 1188, 1222, 1383, 1150, 3881, 29750, 119, 8281, 1165, 1841, 119, 5639, 1125, 27839, 1167, 4541, 1170, 488, 124, 129, 2584, 488, 124, 132, 124, 129, 1188, 27839, 14231, 6538, 22589, 1214, 1158, 16619, 1125, 488, 124, 131, 129, 126, 1188, 488, 124, 131, 129, 128, 1188, 30437, 1125, 19595, 1245, 2305, 1768, 7354, 1170, 3151, 5416, 1793, 20569, 26859, 3556, 1227, 4523, 244, 1255, 7482, 5419, 4654, 1768, 5112, 2620, 1125, 488, 124, 131, 130, 129, 1188, 488, 124, 131, 132, 127, 119, 1170, 24388, 1277, 1161, 1135, 16448, 27903, 190, 1147, 1135, 16448, 11679, 1355, 27839, 1186, 5999, 5737, 8370, 488, 124, 131, 131, 126, 119, 1527, 1693, 2038, 1188, 20024, 1188, 1318, 17507, 10903, 1300, 1158, 12618, 121, 1768, 1251, 6666, 1170, 16745, 1354, 11894, 19310, 8242, 1175, 124, 131, 125, 132, 120, 124, 131, 131, 132, 116, 1357, 1110, 20723, 1318, 23642, 4405, 1125, 29135, 17931, 16969, 1186, 1459, 10645, 25669, 1712, 2620, 4732, 25574, 1167, 1313, 4864, 8936, 1283, 4282, 4654, 1248, 9695, 1242, 8524, 1123, 1188, 1186, 12166, 1318, 3247, 2487, 488, 124, 128, 123, 4841, 12258, 23598, 1245, 1186, 488, 124, 131, 132, 127, 1256, 8852, 1125, 4509, 1167, 4216, 1125, 9963, 1256, 1170, 4523, 244, 1255, 1856, 1329, 185, 1284, 12671, 25687, 5178, 1108, 488, 124, 132, 123, 132, 9994, 2624, 5825, 4713, 3400, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1186, 2584, 488, 124, 132, 124, 129, 19886, 185, 1284, 12671, 26859, 1354, 8156, 1186, 10942, 5264, 1132, 1328, 1227, 6455, 9317, 1188, 27839, 9317, 1188, 488, 130, 127, 8793, 32001, 1424, 32000, 20036, 2586, 175, 2405, 1202, 2007, 1105, 1248, 9695, 1242, 1299, 1189, 1329, 185, 1284, 12671, 26859, 11493, 5252, 1170, 488, 126, 2584, 488, 124, 131, 127, 125, 1188, 1222, 1383, 1150, 3881, 29750, 119, 8281, 1165, 1841, 119, 5639, 1125, 27839, 1167, 4541, 1170, 488, 124, 129, 2584, 488, 124, 132, 124, 129, 1188, 27839, 14231, 6538, 22589, 1214, 1158, 16619, 1125, 488, 124, 131, 129, 126, 1188, 488, 124, 131, 129, 128, 1188, 30437, 1125, 19595, 1245, 2305, 1768, 7354, 1170, 3151, 5416, 1793, 20569, 26859, 3556, 1227, 4523, 244, 1255, 7482, 5419, 4654, 1768, 5112, 2620, 1125, 488, 124, 131, 130, 129, 1188, 488, 124, 131, 132, 127, 119, 1170, 24388, 1277, 1161, 1135, 16448, 27903, 190, 1147, 1135, 16448, 11679, 1355, 27839, 1186, 5999, 5737, 8370, 488, 124, 131, 131, 126, 119, 1527, 1693, 2038, 1188, 20024, 1188, 1318, 17507, 10903, 1300, 1158, 12618, 121, 1768, 1251, 6666, 1170, 16745, 1354, 11894, 19310, 8242, 1175, 124, 131, 125, 132, 120, 124, 131, 131, 132, 116, 1357, 1110, 20723, 1318, 23642, 4405, 1125, 29135, 17931, 16969, 1186, 1459, 10645, 25669, 1712, 2620, 4732, 25574, 1167, 1313, 4864, 8936, 1283, 4282, 4654, 1248, 9695, 1242, 8524, 1123, 1188, 1186, 12166, 1318, 3247, 2487, 488, 124, 128, 123, 4841, 12258, 23598, 1245, 1186, 488, 124, 131, 132, 127, 1256, 8852, 1125, 4509, 1167, 4216, 1125, 9963, 1256, 1170, 4523, 244, 1255, 1856, 1329, 185, 1284, 12671, 25687, 5178, 1108, 488, 124, 132, 123, 132, 9994, 2624, 5825, 4713, 3400, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1186, 2584, 488, 124, 132, 124, 129, 19886, 185, 1284, 12671, 26859, 1354, 8156, 1186, 10942, 5264, 1132, 1328, 1227, 6455, 9317, 1188, 27839, 9317, 1188, 488, 130, 127, 8793, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2586, 175, 2405, 1202, 2007, 1105, 1248, 9695, 1242, 1299, 1189, 1329, 185, 1284, 12671, 26859, 11493, 5252, 1170, 488, 126, 2584, 488, 124, 131, 127, 125, 1188, 1222, 1383, 1150, 3881, 29750, 119, 8281, 1165, 1841, 119, 5639, 1125, 27839, 1167, 4541, 1170, 488, 124, 129, 2584, 488, 124, 132, 124, 129, 1188, 27839, 14231, 6538, 22589, 1214, 1158, 16619, 1125, 488, 124, 131, 129, 126, 1188, 488, 124, 131, 129, 128, 1188, 30437, 1125, 19595, 1245, 2305, 1768, 7354, 1170, 3151, 5416, 1793, 20569, 26859, 3556, 1227, 4523, 244, 1255, 7482, 5419, 4654, 1768, 5112, 2620, 1125, 488, 124, 131, 130, 129, 1188, 488, 124, 131, 132, 127, 119, 1170, 24388, 1277, 1161, 1135, 16448, 27903, 190, 1147, 1135, 16448, 11679, 1355, 27839, 1186, 5999, 5737, 8370, 488, 124, 131, 131, 126, 119, 1527, 1693, 2038, 1188, 20024, 1188, 1318, 17507, 10903, 1300, 1158, 12618, 121, 1768, 1251, 6666, 1170, 16745, 1354, 11894, 19310, 8242, 1175, 124, 131, 125, 132, 120, 124, 131, 131, 132, 116, 1357, 1110, 20723, 1318, 23642, 4405, 1125, 29135, 17931, 16969, 1186, 1459, 10645, 25669, 1712, 2620, 4732, 25574, 1167, 1313, 4864, 8936, 1283, 4282, 4654, 1248, 9695, 1242, 8524, 1123, 1188, 1186, 12166, 1318, 3247, 2487, 488, 124, 128, 123, 4841, 12258, 23598, 1245, 1186, 488, 124, 131, 132, 127, 1256, 8852, 1125, 4509, 1167, 4216, 1125, 9963, 1256, 1170, 4523, 244, 1255, 1856, 1329, 185, 1284, 12671, 25687, 5178, 1108, 488, 124, 132, 123, 132, 9994, 2624, 5825, 4713, 3400, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1186, 2584, 488, 124, 132, 124, 129, 19886, 185, 1284, 12671, 26859, 1354, 8156, 1186, 10942, 5264, 1132, 1328, 1227, 6455, 9317, 1188, 27839, 9317, 1188, 488, 130, 127, 8793, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 149, 3644, 14968, 1137, 29352, 5252, 1186, 488, 124, 132, 127, 125, 1188, 2893, 172, 1896, 194, 1154, 1210, 4497, 1775, 1125, 7494, 1328, 1496, 1299, 1189, 4126, 1255, 1374, 11181, 7165, 1768, 1110, 1913, 12688, 1317, 9324, 15567, 12483, 10812, 1197, 8199, 4126, 6862, 1256, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 1392, 14023, 6417, 4134, 1175, 1512, 177, 4126, 1255, 1374, 1260, 124, 132, 130, 130, 1257, 22871, 14770, 3615, 5540, 488, 124, 127, 119, 488, 124, 123, 21299, 1260, 124, 132, 131, 123, 1257, 1548, 1748, 7182, 2172, 15573, 1460, 1227, 28067, 1252, 192, 3318, 1210, 4353, 1125, 1202, 2007, 1306, 26474, 1379, 106, 124, 132, 131, 125, 1257, 2236, 1119, 1170, 25532, 16303, 1125, 4172, 1204, 2993, 1153, 106, 124, 132, 131, 126, 1257, 1643, 23547, 9984, 2806, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 127, 1257, 1548, 1233, 1353, 15106, 1125, 19633, 16654, 2443, 106, 124, 132, 131, 127, 1257, 2236, 1119, 1170, 1222, 30907, 11682, 1125, 10290, 1252, 1126, 1120, 2021, 106, 124, 132, 131, 130, 1257, 7673, 1712, 488, 127, 119, 1125, 29813, 4530, 6709, 14162, 18514, 124, 132, 131, 131, 1257, 1248, 25436, 1469, 1158, 27688, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 132, 1257, 1548, 17943, 8243, 1125, 1282, 4248, 1797, 119, 1125, 1222, 194, 1580, 13147, 14941, 106, 124, 132, 132, 123, 1257, 30732, 1135, 11453, 19645, 1125, 1204, 8270, 16984, 31738, 26193, 124, 132, 132, 123, 1257, 14557, 18065, 2558, 119, 1125, 8980, 1325, 8614, 106, 124, 132, 132, 124, 1257, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 4995, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 125, 1257, 20705, 17304, 1257, 1643, 6593, 3212, 1125, 4172, 4861, 23923, 124, 132, 132, 127, 1257, 15293, 172, 1266, 12118, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 128, 1257, 13556, 18955, 119, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 129, 1257, 15245, 2168, 3923, 2563, 1125, 26091, 1516, 24664, 18581, 124, 132, 132, 130, 1257, 2722, 1141, 1195, 18909, 25345, 1125, 2801, 1175, 1389, 183, 3401, 6417, 1496, 1125, 10948, 5645, 1569, 106, 124, 132, 132, 130, 1257, 7265, 10465, 1125, 20204, 13511, 1977, 106, 124, 132, 132, 132, 1257, 1643, 29815, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 124, 1257, 1548, 23908, 1125, 1158, 2706, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 125, 1257, 1548, 27396, 1694, 14552, 4986, 1125, 1539, 3923, 31030, 106, 125, 123, 123, 126, 1257, 1643, 21069, 2335, 1708, 2433, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 126, 1257, 8224, 27972, 119, 1125, 20204, 13511, 1977, 106, 125, 123, 123, 127, 1257, 2571, 19293, 4389, 4741, 1125, 1209, 1243, 193, 13096, 1173, 197, 1219, 254, 106, 125, 123, 123, 127, 1257, 1643, 23045, 1619, 9034, 6713, 28566, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 129, 1257, 1753, 1351, 8978, 1659, 12412, 1276, 3994, 11283, 1246, 11772, 106, 125, 123, 123, 130, 1257, 1548, 31889, 3301, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 130, 1257, 1548, 26591, 1197, 1127, 1201, 1257, 1643, 23797, 1774, 13097, 3706, 119, 1125, 24286, 31030, 106, 125, 123, 123, 132, 1257, 8431, 29185, 1518, 17381, 1125, 8980, 6709, 30983, 1706, 23159, 6417, 4134, 1175, 21339, 1260, 124, 132, 129, 125, 1323, 488, 124, 132, 129, 127, 1257, 1548, 3281, 2232, 124, 132, 129, 125, 1257, 2576, 224, 6165, 1227, 8770, 3615, 5540, 488, 124, 15956, 488, 131, 116, 1257, 8846, 2324, 24316, 106, 124, 132, 129, 126, 1257, 3559, 16722, 7042, 3615, 5540, 488, 125, 15956, 488, 125, 129, 116, 1257, 1753, 1261, 3318, 106, 124, 132, 129, 127, 1257, 9496, 12957, 2248, 1214, 3615, 5540, 488, 126, 15956, 488, 124, 125, 116, 1257, 16109, 1314, 194, 1990, 15948, 7364, 5825, 12498, 1531, 1255, 1374, 14898, 1266, 3400, 1186, 488, 124, 132, 127, 125, 32001, 1424, 32000, 20036, 2278, 3644, 14968, 1137, 29352, 5252, 1186, 488, 124, 132, 127, 125, 1188, 2893, 172, 1896, 194, 1154, 1210, 4497, 1775, 1125, 7494, 1328, 1496, 1299, 1189, 4126, 1255, 1374, 11181, 7165, 1768, 1110, 1913, 12688, 1317, 9324, 15567, 12483, 10812, 1197, 8199, 4126, 6862, 1256, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 1392, 14023, 6417, 4134, 1175, 1512, 177, 4126, 1255, 1374, 1260, 124, 132, 130, 130, 1257, 22871, 14770, 3615, 5540, 488, 124, 127, 119, 488, 124, 123, 21299, 1260, 124, 132, 131, 123, 1257, 1548, 1748, 7182, 2172, 15573, 1460, 1227, 28067, 1252, 192, 3318, 1210, 4353, 1125, 1202, 2007, 1306, 26474, 1379, 106, 124, 132, 131, 125, 1257, 2236, 1119, 1170, 25532, 16303, 1125, 4172, 1204, 2993, 1153, 106, 124, 132, 131, 126, 1257, 1643, 23547, 9984, 2806, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 127, 1257, 1548, 1233, 1353, 15106, 1125, 19633, 16654, 2443, 106, 124, 132, 131, 127, 1257, 2236, 1119, 1170, 1222, 30907, 11682, 1125, 10290, 1252, 1126, 1120, 2021, 106, 124, 132, 131, 130, 1257, 7673, 1712, 488, 127, 119, 1125, 29813, 4530, 6709, 14162, 18514, 124, 132, 131, 131, 1257, 1248, 25436, 1469, 1158, 27688, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 132, 1257, 1548, 17943, 8243, 1125, 1282, 4248, 1797, 119, 1125, 1222, 194, 1580, 13147, 14941, 106, 124, 132, 132, 123, 1257, 30732, 1135, 11453, 19645, 1125, 1204, 8270, 16984, 31738, 26193, 124, 132, 132, 123, 1257, 14557, 18065, 2558, 119, 1125, 8980, 1325, 8614, 106, 124, 132, 132, 124, 1257, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 4995, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 125, 1257, 20705, 17304, 1257, 1643, 6593, 3212, 1125, 4172, 4861, 23923, 124, 132, 132, 127, 1257, 15293, 172, 1266, 12118, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 128, 1257, 13556, 18955, 119, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 129, 1257, 15245, 2168, 3923, 2563, 1125, 26091, 1516, 24664, 18581, 124, 132, 132, 130, 1257, 2722, 1141, 1195, 18909, 25345, 1125, 2801, 1175, 1389, 183, 3401, 6417, 1496, 1125, 10948, 5645, 1569, 106, 124, 132, 132, 130, 1257, 7265, 10465, 1125, 20204, 13511, 1977, 106, 124, 132, 132, 132, 1257, 1643, 29815, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 124, 1257, 1548, 23908, 1125, 1158, 2706, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 125, 1257, 1548, 27396, 1694, 14552, 4986, 1125, 1539, 3923, 31030, 106, 125, 123, 123, 126, 1257, 1643, 21069, 2335, 1708, 2433, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 126, 1257, 8224, 27972, 119, 1125, 20204, 13511, 1977, 106, 125, 123, 123, 127, 1257, 2571, 19293, 4389, 4741, 1125, 1209, 1243, 193, 13096, 1173, 197, 1219, 254, 106, 125, 123, 123, 127, 1257, 1643, 23045, 1619, 9034, 6713, 28566, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 129, 1257, 1753, 1351, 8978, 1659, 12412, 1276, 3994, 11283, 1246, 11772, 106, 125, 123, 123, 130, 1257, 1548, 31889, 3301, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 130, 1257, 1548, 26591, 1197, 1127, 1201, 1257, 1643, 23797, 1774, 13097, 3706, 119, 1125, 24286, 31030, 106, 125, 123, 123, 132, 1257, 8431, 29185, 1518, 17381, 1125, 8980, 6709, 30983, 1706, 23159, 6417, 4134, 1175, 21339, 1260, 124, 132, 129, 125, 1323, 488, 124, 132, 129, 127, 1257, 1548, 3281, 2232, 124, 132, 129, 125, 1257, 2576, 224, 6165, 1227, 8770, 3615, 5540, 488, 124, 15956, 488, 131, 116, 1257, 8846, 2324, 24316, 106, 124, 132, 129, 126, 1257, 3559, 16722, 7042, 3615, 5540, 488, 125, 15956, 488, 125, 129, 116, 1257, 1753, 1261, 3318, 106, 124, 132, 129, 127, 1257, 9496, 12957, 2248, 1214, 3615, 5540, 488, 126, 15956, 488, 124, 125, 116, 1257, 16109, 1314, 194, 1990, 15948, 7364, 5825, 12498, 1531, 1255, 1374, 14898, 1266, 3400, 1186, 488, 124, 132, 127, 125, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2278, 3644, 14968, 1137, 29352, 5252, 1186, 488, 124, 132, 127, 125, 1188, 2893, 172, 1896, 194, 1154, 1210, 4497, 1775, 1125, 7494, 1328, 1496, 1299, 1189, 4126, 1255, 1374, 11181, 7165, 1768, 1110, 1913, 12688, 1317, 9324, 15567, 12483, 10812, 1197, 8199, 4126, 6862, 1256, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 1392, 14023, 6417, 4134, 1175, 1512, 177, 4126, 1255, 1374, 1260, 124, 132, 130, 130, 1257, 22871, 14770, 3615, 5540, 488, 124, 127, 119, 488, 124, 123, 21299, 1260, 124, 132, 131, 123, 1257, 1548, 1748, 7182, 2172, 15573, 1460, 1227, 28067, 1252, 192, 3318, 1210, 4353, 1125, 1202, 2007, 1306, 26474, 1379, 106, 124, 132, 131, 125, 1257, 2236, 1119, 1170, 25532, 16303, 1125, 4172, 1204, 2993, 1153, 106, 124, 132, 131, 126, 1257, 1643, 23547, 9984, 2806, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 127, 1257, 1548, 1233, 1353, 15106, 1125, 19633, 16654, 2443, 106, 124, 132, 131, 127, 1257, 2236, 1119, 1170, 1222, 30907, 11682, 1125, 10290, 1252, 1126, 1120, 2021, 106, 124, 132, 131, 130, 1257, 7673, 1712, 488, 127, 119, 1125, 29813, 4530, 6709, 14162, 18514, 124, 132, 131, 131, 1257, 1248, 25436, 1469, 1158, 27688, 1125, 8980, 1325, 8614, 106, 124, 132, 131, 132, 1257, 1548, 17943, 8243, 1125, 1282, 4248, 1797, 119, 1125, 1222, 194, 1580, 13147, 14941, 106, 124, 132, 132, 123, 1257, 30732, 1135, 11453, 19645, 1125, 1204, 8270, 16984, 31738, 26193, 124, 132, 132, 123, 1257, 14557, 18065, 2558, 119, 1125, 8980, 1325, 8614, 106, 124, 132, 132, 124, 1257, 29027, 1197, 1233, 5596, 19041, 1197, 23404, 4995, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 125, 1257, 20705, 17304, 1257, 1643, 6593, 3212, 1125, 4172, 4861, 23923, 124, 132, 132, 127, 1257, 15293, 172, 1266, 12118, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 128, 1257, 13556, 18955, 119, 1125, 20204, 1863, 1869, 2066, 2523, 124, 132, 132, 129, 1257, 15245, 2168, 3923, 2563, 1125, 26091, 1516, 24664, 18581, 124, 132, 132, 130, 1257, 2722, 1141, 1195, 18909, 25345, 1125, 2801, 1175, 1389, 183, 3401, 6417, 1496, 1125, 10948, 5645, 1569, 106, 124, 132, 132, 130, 1257, 7265, 10465, 1125, 20204, 13511, 1977, 106, 124, 132, 132, 132, 1257, 1643, 29815, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 124, 1257, 1548, 23908, 1125, 1158, 2706, 2620, 1125, 20586, 1173, 2508, 20611, 125, 123, 123, 125, 1257, 1548, 27396, 1694, 14552, 4986, 1125, 1539, 3923, 31030, 106, 125, 123, 123, 126, 1257, 1643, 21069, 2335, 1708, 2433, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 126, 1257, 8224, 27972, 119, 1125, 20204, 13511, 1977, 106, 125, 123, 123, 127, 1257, 2571, 19293, 4389, 4741, 1125, 1209, 1243, 193, 13096, 1173, 197, 1219, 254, 106, 125, 123, 123, 127, 1257, 1643, 23045, 1619, 9034, 6713, 28566, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 129, 1257, 1753, 1351, 8978, 1659, 12412, 1276, 3994, 11283, 1246, 11772, 106, 125, 123, 123, 130, 1257, 1548, 31889, 3301, 1125, 14222, 1233, 2565, 10582, 125, 123, 123, 130, 1257, 1548, 26591, 1197, 1127, 1201, 1257, 1643, 23797, 1774, 13097, 3706, 119, 1125, 24286, 31030, 106, 125, 123, 123, 132, 1257, 8431, 29185, 1518, 17381, 1125, 8980, 6709, 30983, 1706, 23159, 6417, 4134, 1175, 21339, 1260, 124, 132, 129, 125, 1323, 488, 124, 132, 129, 127, 1257, 1548, 3281, 2232, 124, 132, 129, 125, 1257, 2576, 224, 6165, 1227, 8770, 3615, 5540, 488, 124, 15956, 488, 131, 116, 1257, 8846, 2324, 24316, 106, 124, 132, 129, 126, 1257, 3559, 16722, 7042, 3615, 5540, 488, 125, 15956, 488, 125, 129, 116, 1257, 1753, 1261, 3318, 106, 124, 132, 129, 127, 1257, 9496, 12957, 2248, 1214, 3615, 5540, 488, 126, 15956, 488, 124, 125, 116, 1257, 16109, 1314, 194, 1990, 15948, 7364, 5825, 12498, 1531, 1255, 1374, 14898, 1266, 3400, 1186, 488, 124, 132, 127, 125, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 4523, 23621, 11564, 1227, 1874, 1125, 1282, 20246, 10660, 12273, 4964, 1125, 4523, 2215, 2433, 3031, 1189, 17766, 29413, 1125, 1158, 19021, 29304, 1366, 17911, 1965, 1170, 2423, 1125, 1158, 5971, 30415, 1128, 2181, 7155, 1594, 17969, 2059, 2840, 119, 1170, 30415, 1128, 2086, 3557, 1170, 1408, 26554, 1167, 1170, 1408, 19846, 17766, 29413, 4550, 13826, 119, 1170, 4755, 1125, 1158, 19021, 12273, 4964, 15824, 8483, 27214, 1125, 1158, 2076, 1114, 22729, 1170, 2460, 1109, 1119, 2086, 2934, 8551, 1117, 1186, 4665, 120, 1342, 1764, 1186, 3285, 1125, 4971, 4023, 5164, 1299, 2077, 5012, 1215, 8425, 9593, 13900, 2391, 1125, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 1148, 1170, 6749, 147, 15376, 20546, 1859, 1207, 13936, 1197, 13584, 1201, 3202, 2314, 1125, 29650, 1141, 1569, 2433, 2487, 1170, 8328, 1518, 1462, 27500, 20692, 1119, 13430, 1167, 1282, 20726, 5427, 1518, 1255, 7741, 21825, 1810, 7810, 18741, 14439, 1125, 1281, 14344, 1256, 1158, 4971, 1125, 6113, 1197, 26921, 1125, 1158, 3643, 4726, 1186, 3110, 121, 2932, 1508, 1207, 19081, 1430, 1197, 1501, 2402, 1104, 1125, 12208, 1525, 1227, 20873, 1357, 9442, 8607, 244, 1282, 18380, 26106, 1227, 1360, 1308, 191, 16740, 5234, 121, 3480, 1216, 1635, 1313, 1170, 1408, 2511, 7685, 119, 1170, 27214, 2985, 17034, 1170, 488, 124, 1107, 2578, 488, 124, 132, 127, 123, 1167, 2377, 172, 6349, 8826, 4408, 1635, 2879, 1186, 26210, 121, 1643, 3110, 1125, 13789, 2985, 2762, 6026, 1303, 1256, 7650, 5695, 13643, 23506, 1215, 1158, 1557, 3603, 3747, 1170, 25577, 1227, 18166, 1272, 1197, 1919, 4740, 1328, 4123, 8464, 1346, 1167, 31608, 1125, 5443, 14000, 1125, 4882, 13699, 1120, 1186, 2424, 1186, 2829, 488, 124, 132, 127, 125, 119, 1170, 4523, 23621, 1281, 5931, 1123, 1317, 1158, 178, 1105, 1125, 2168, 4849, 1256, 8753, 1170, 27214, 1675, 19468, 1125, 3122, 1121, 26363, 30415, 1174, 1190, 2181, 6982, 1158, 4541, 1125, 13680, 1187, 2726, 1170, 488, 124, 131, 3012, 488, 124, 132, 127, 126, 119, 1170, 4523, 23621, 3360, 1343, 1317, 14506, 1186, 9142, 1909, 1116, 1274, 14279, 1548, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1170, 4523, 23621, 2985, 7566, 187, 18661, 1215, 1170, 1994, 184, 1201, 2369, 3569, 158, 1198, 17535, 1762, 1167, 1106, 1178, 22802, 1317, 14506, 1256, 1207, 7556, 5422, 2442, 1309, 1256, 1197, 13643, 1125, 1594, 1400, 1232, 1160, 4690, 172, 1550, 4414, 1808, 2069, 1919, 4740, 1328, 2693, 2832, 1125, 488, 127, 129, 5019, 31994, 15935, 4128, 1124, 14627, 1256, 1823, 8088, 1473, 1215, 4593, 2385, 261, 1634, 2404, 3606, 1125, 488, 124, 128, 5019, 4690, 172, 1550, 1108, 1297, 3350, 2008, 5443, 2385, 261, 1634, 1288, 15935, 4550, 3662, 4413, 1653, 20488, 1125, 5087, 2385, 261, 1634, 2693, 2832, 1125, 1526, 1376, 4690, 172, 1550, 1462, 1125, 488, 125, 128, 8680, 7283, 488, 132, 129, 15935, 2383, 1234, 1186, 27186, 1525, 12258, 14857, 3247, 1125, 1158, 2164, 7416, 1227, 12497, 120, 1174, 19468, 17617, 186, 30480, 10205, 3672, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 7017, 7823, 1125, 1158, 12468, 9992, 1170, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1527, 2985, 20532, 1215, 1197, 15277, 1125, 4665, 120, 1342, 1764, 28741, 1125, 1158, 8483, 2164, 1190, 7017, 1768, 2077, 4313, 1186, 4592, 1125, 1173, 1456, 5173, 1119, 2750, 2782, 8217, 488, 124, 130, 13513, 1104, 12088, 3436, 1167, 488, 124, 132, 7566, 187, 19055, 1895, 1715, 1199, 1469, 2435, 1408, 1125, 488, 124, 124, 123, 123, 1125, 1909, 488, 125, 126, 132, 132, 1304, 25502, 1272, 24962, 187, 1435, 30419, 31135, 1369, 5612, 26194, 1945, 172, 1594, 1251, 20042, 21477, 14097, 1397, 1273, 3794, 27606, 1256, 1197, 12339, 28353, 2252, 1186, 13933, 12991, 119, 1256, 8182, 10399, 1435, 1227, 4523, 2215, 3266, 1768, 1894, 1105, 21141, 1186, 488, 125, 123, 124, 128, 2782, 11278, 10399, 1435, 1188, 488, 124, 488, 123, 123, 123, 13061, 1125, 22941, 1167, 2976, 172, 1300, 6536, 1158, 6277, 2519, 4089, 176, 1125, 5759, 1125, 1713, 1196, 1167, 1318, 6277, 1197, 2377, 1104, 1125, 1158, 1268, 1118, 2596, 1643, 12381, 1110, 1913, 15633, 4855, 1188, 1189, 15008, 28353, 1109, 23169, 1125, 2262, 21421, 161, 1388, 150, 1992, 2955, 7009, 11309, 1569, 1810, 8328, 1227, 16927, 1125, 1158, 18102, 1125, 1518, 3988, 2750, 22737, 1197, 5764, 1167, 2519, 6327, 2936, 1303, 1300, 15158, 1215, 3454, 2765, 1776, 1187, 1724, 1282, 20346, 1125, 10399, 1435, 121, 1867, 6698, 2460, 8035, 192, 1266, 1569, 4520, 1195, 1810, 1859, 6303, 1197, 8176, 19878, 1701, 1125, 1282, 25502, 1272, 1227, 4523, 23621, 5255, 172, 1257, 6027, 17889, 1906, 1170, 4523, 23621, 109, 12825, 1275, 2266, 1120, 1508, 1253, 1436, 187, 20909, 1300, 1318, 6233, 1125, 488, 124, 7275, 2054, 488, 123, 119, 128, 1498, 5784, 1768, 7032, 1309, 1170, 20901, 1281, 2666, 1513, 1728, 4568, 2567, 1304, 31516, 1170, 3080, 1125, 1158, 4592, 15826, 31942, 1125, 5764, 25194, 17935, 1194, 11333, 5888, 176, 1424, 12253, 1197, 17766, 1322, 1234, 1167, 3664, 1439, 1392, 1125, 16535, 16682, 1234, 3672, 1158, 22925, 12507, 10999, 9323, 1167, 5474, 17994, 7364, 5825, 2093, 25158, 192, 1187, 29413, 1125, 1158, 18102, 29304, 1366, 12273, 4964, 1505, 192, 1187, 29413, 1125, 1158, 22925, 12507, 10999, 7201, 1125, 20901, 2056, 13974, 17034, 1186, 488, 124, 132, 127, 123, 1875, 1342, 1229, 13826, 1188, 29650, 1141, 17174, 1875, 1342, 1229, 2077, 5012, 1186, 488, 124, 132, 127, 127, 121, 32001, 1424, 32000, 20036, 2359, 4523, 23621, 11564, 1227, 1874, 1125, 1282, 20246, 10660, 12273, 4964, 1125, 4523, 2215, 2433, 3031, 1189, 17766, 29413, 1125, 1158, 19021, 29304, 1366, 17911, 1965, 1170, 2423, 1125, 1158, 5971, 30415, 1128, 2181, 7155, 1594, 17969, 2059, 2840, 119, 1170, 30415, 1128, 2086, 3557, 1170, 1408, 26554, 1167, 1170, 1408, 19846, 17766, 29413, 4550, 13826, 119, 1170, 4755, 1125, 1158, 19021, 12273, 4964, 15824, 8483, 27214, 1125, 1158, 2076, 1114, 22729, 1170, 2460, 1109, 1119, 2086, 2934, 8551, 1117, 1186, 4665, 120, 1342, 1764, 1186, 3285, 1125, 4971, 4023, 5164, 1299, 2077, 5012, 1215, 8425, 9593, 13900, 2391, 1125, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 1148, 1170, 6749, 147, 15376, 20546, 1859, 1207, 13936, 1197, 13584, 1201, 3202, 2314, 1125, 29650, 1141, 1569, 2433, 2487, 1170, 8328, 1518, 1462, 27500, 20692, 1119, 13430, 1167, 1282, 20726, 5427, 1518, 1255, 7741, 21825, 1810, 7810, 18741, 14439, 1125, 1281, 14344, 1256, 1158, 4971, 1125, 6113, 1197, 26921, 1125, 1158, 3643, 4726, 1186, 3110, 121, 2932, 1508, 1207, 19081, 1430, 1197, 1501, 2402, 1104, 1125, 12208, 1525, 1227, 20873, 1357, 9442, 8607, 244, 1282, 18380, 26106, 1227, 1360, 1308, 191, 16740, 5234, 121, 3480, 1216, 1635, 1313, 1170, 1408, 2511, 7685, 119, 1170, 27214, 2985, 17034, 1170, 488, 124, 1107, 2578, 488, 124, 132, 127, 123, 1167, 2377, 172, 6349, 8826, 4408, 1635, 2879, 1186, 26210, 121, 1643, 3110, 1125, 13789, 2985, 2762, 6026, 1303, 1256, 7650, 5695, 13643, 23506, 1215, 1158, 1557, 3603, 3747, 1170, 25577, 1227, 18166, 1272, 1197, 1919, 4740, 1328, 4123, 8464, 1346, 1167, 31608, 1125, 5443, 14000, 1125, 4882, 13699, 1120, 1186, 2424, 1186, 2829, 488, 124, 132, 127, 125, 119, 1170, 4523, 23621, 1281, 5931, 1123, 1317, 1158, 178, 1105, 1125, 2168, 4849, 1256, 8753, 1170, 27214, 1675, 19468, 1125, 3122, 1121, 26363, 30415, 1174, 1190, 2181, 6982, 1158, 4541, 1125, 13680, 1187, 2726, 1170, 488, 124, 131, 3012, 488, 124, 132, 127, 126, 119, 1170, 4523, 23621, 3360, 1343, 1317, 14506, 1186, 9142, 1909, 1116, 1274, 14279, 1548, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1170, 4523, 23621, 2985, 7566, 187, 18661, 1215, 1170, 1994, 184, 1201, 2369, 3569, 158, 1198, 17535, 1762, 1167, 1106, 1178, 22802, 1317, 14506, 1256, 1207, 7556, 5422, 2442, 1309, 1256, 1197, 13643, 1125, 1594, 1400, 1232, 1160, 4690, 172, 1550, 4414, 1808, 2069, 1919, 4740, 1328, 2693, 2832, 1125, 488, 127, 129, 5019, 31994, 15935, 4128, 1124, 14627, 1256, 1823, 8088, 1473, 1215, 4593, 2385, 261, 1634, 2404, 3606, 1125, 488, 124, 128, 5019, 4690, 172, 1550, 1108, 1297, 3350, 2008, 5443, 2385, 261, 1634, 1288, 15935, 4550, 3662, 4413, 1653, 20488, 1125, 5087, 2385, 261, 1634, 2693, 2832, 1125, 1526, 1376, 4690, 172, 1550, 1462, 1125, 488, 125, 128, 8680, 7283, 488, 132, 129, 15935, 2383, 1234, 1186, 27186, 1525, 12258, 14857, 3247, 1125, 1158, 2164, 7416, 1227, 12497, 120, 1174, 19468, 17617, 186, 30480, 10205, 3672, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 7017, 7823, 1125, 1158, 12468, 9992, 1170, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1527, 2985, 20532, 1215, 1197, 15277, 1125, 4665, 120, 1342, 1764, 28741, 1125, 1158, 8483, 2164, 1190, 7017, 1768, 2077, 4313, 1186, 4592, 1125, 1173, 1456, 5173, 1119, 2750, 2782, 8217, 488, 124, 130, 13513, 1104, 12088, 3436, 1167, 488, 124, 132, 7566, 187, 19055, 1895, 1715, 1199, 1469, 2435, 1408, 1125, 488, 124, 124, 123, 123, 1125, 1909, 488, 125, 126, 132, 132, 1304, 25502, 1272, 24962, 187, 1435, 30419, 31135, 1369, 5612, 26194, 1945, 172, 1594, 1251, 20042, 21477, 14097, 1397, 1273, 3794, 27606, 1256, 1197, 12339, 28353, 2252, 1186, 13933, 12991, 119, 1256, 8182, 10399, 1435, 1227, 4523, 2215, 3266, 1768, 1894, 1105, 21141, 1186, 488, 125, 123, 124, 128, 2782, 11278, 10399, 1435, 1188, 488, 124, 488, 123, 123, 123, 13061, 1125, 22941, 1167, 2976, 172, 1300, 6536, 1158, 6277, 2519, 4089, 176, 1125, 5759, 1125, 1713, 1196, 1167, 1318, 6277, 1197, 2377, 1104, 1125, 1158, 1268, 1118, 2596, 1643, 12381, 1110, 1913, 15633, 4855, 1188, 1189, 15008, 28353, 1109, 23169, 1125, 2262, 21421, 161, 1388, 150, 1992, 2955, 7009, 11309, 1569, 1810, 8328, 1227, 16927, 1125, 1158, 18102, 1125, 1518, 3988, 2750, 22737, 1197, 5764, 1167, 2519, 6327, 2936, 1303, 1300, 15158, 1215, 3454, 2765, 1776, 1187, 1724, 1282, 20346, 1125, 10399, 1435, 121, 1867, 6698, 2460, 8035, 192, 1266, 1569, 4520, 1195, 1810, 1859, 6303, 1197, 8176, 19878, 1701, 1125, 1282, 25502, 1272, 1227, 4523, 23621, 5255, 172, 1257, 6027, 17889, 1906, 1170, 4523, 23621, 109, 12825, 1275, 2266, 1120, 1508, 1253, 1436, 187, 20909, 1300, 1318, 6233, 1125, 488, 124, 7275, 2054, 488, 123, 119, 128, 1498, 5784, 1768, 7032, 1309, 1170, 20901, 1281, 2666, 1513, 1728, 4568, 2567, 1304, 31516, 1170, 3080, 1125, 1158, 4592, 15826, 31942, 1125, 5764, 25194, 17935, 1194, 11333, 5888, 176, 1424, 12253, 1197, 17766, 1322, 1234, 1167, 3664, 1439, 1392, 1125, 16535, 16682, 1234, 3672, 1158, 22925, 12507, 10999, 9323, 1167, 5474, 17994, 7364, 5825, 2093, 25158, 192, 1187, 29413, 1125, 1158, 18102, 29304, 1366, 12273, 4964, 1505, 192, 1187, 29413, 1125, 1158, 22925, 12507, 10999, 7201, 1125, 20901, 2056, 13974, 17034, 1186, 488, 124, 132, 127, 123, 1875, 1342, 1229, 13826, 1188, 29650, 1141, 17174, 1875, 1342, 1229, 2077, 5012, 1186, 488, 124, 132, 127, 127, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 4523, 23621, 11564, 1227, 1874, 1125, 1282, 20246, 10660, 12273, 4964, 1125, 4523, 2215, 2433, 3031, 1189, 17766, 29413, 1125, 1158, 19021, 29304, 1366, 17911, 1965, 1170, 2423, 1125, 1158, 5971, 30415, 1128, 2181, 7155, 1594, 17969, 2059, 2840, 119, 1170, 30415, 1128, 2086, 3557, 1170, 1408, 26554, 1167, 1170, 1408, 19846, 17766, 29413, 4550, 13826, 119, 1170, 4755, 1125, 1158, 19021, 12273, 4964, 15824, 8483, 27214, 1125, 1158, 2076, 1114, 22729, 1170, 2460, 1109, 1119, 2086, 2934, 8551, 1117, 1186, 4665, 120, 1342, 1764, 1186, 3285, 1125, 4971, 4023, 5164, 1299, 2077, 5012, 1215, 8425, 9593, 13900, 2391, 1125, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 1148, 1170, 6749, 147, 15376, 20546, 1859, 1207, 13936, 1197, 13584, 1201, 3202, 2314, 1125, 29650, 1141, 1569, 2433, 2487, 1170, 8328, 1518, 1462, 27500, 20692, 1119, 13430, 1167, 1282, 20726, 5427, 1518, 1255, 7741, 21825, 1810, 7810, 18741, 14439, 1125, 1281, 14344, 1256, 1158, 4971, 1125, 6113, 1197, 26921, 1125, 1158, 3643, 4726, 1186, 3110, 121, 2932, 1508, 1207, 19081, 1430, 1197, 1501, 2402, 1104, 1125, 12208, 1525, 1227, 20873, 1357, 9442, 8607, 244, 1282, 18380, 26106, 1227, 1360, 1308, 191, 16740, 5234, 121, 3480, 1216, 1635, 1313, 1170, 1408, 2511, 7685, 119, 1170, 27214, 2985, 17034, 1170, 488, 124, 1107, 2578, 488, 124, 132, 127, 123, 1167, 2377, 172, 6349, 8826, 4408, 1635, 2879, 1186, 26210, 121, 1643, 3110, 1125, 13789, 2985, 2762, 6026, 1303, 1256, 7650, 5695, 13643, 23506, 1215, 1158, 1557, 3603, 3747, 1170, 25577, 1227, 18166, 1272, 1197, 1919, 4740, 1328, 4123, 8464, 1346, 1167, 31608, 1125, 5443, 14000, 1125, 4882, 13699, 1120, 1186, 2424, 1186, 2829, 488, 124, 132, 127, 125, 119, 1170, 4523, 23621, 1281, 5931, 1123, 1317, 1158, 178, 1105, 1125, 2168, 4849, 1256, 8753, 1170, 27214, 1675, 19468, 1125, 3122, 1121, 26363, 30415, 1174, 1190, 2181, 6982, 1158, 4541, 1125, 13680, 1187, 2726, 1170, 488, 124, 131, 3012, 488, 124, 132, 127, 126, 119, 1170, 4523, 23621, 3360, 1343, 1317, 14506, 1186, 9142, 1909, 1116, 1274, 14279, 1548, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1170, 4523, 23621, 2985, 7566, 187, 18661, 1215, 1170, 1994, 184, 1201, 2369, 3569, 158, 1198, 17535, 1762, 1167, 1106, 1178, 22802, 1317, 14506, 1256, 1207, 7556, 5422, 2442, 1309, 1256, 1197, 13643, 1125, 1594, 1400, 1232, 1160, 4690, 172, 1550, 4414, 1808, 2069, 1919, 4740, 1328, 2693, 2832, 1125, 488, 127, 129, 5019, 31994, 15935, 4128, 1124, 14627, 1256, 1823, 8088, 1473, 1215, 4593, 2385, 261, 1634, 2404, 3606, 1125, 488, 124, 128, 5019, 4690, 172, 1550, 1108, 1297, 3350, 2008, 5443, 2385, 261, 1634, 1288, 15935, 4550, 3662, 4413, 1653, 20488, 1125, 5087, 2385, 261, 1634, 2693, 2832, 1125, 1526, 1376, 4690, 172, 1550, 1462, 1125, 488, 125, 128, 8680, 7283, 488, 132, 129, 15935, 2383, 1234, 1186, 27186, 1525, 12258, 14857, 3247, 1125, 1158, 2164, 7416, 1227, 12497, 120, 1174, 19468, 17617, 186, 30480, 10205, 3672, 1158, 16535, 1227, 1185, 1172, 3849, 1125, 1548, 196, 7017, 7823, 1125, 1158, 12468, 9992, 1170, 488, 125, 127, 2822, 488, 124, 132, 127, 127, 119, 1527, 2985, 20532, 1215, 1197, 15277, 1125, 4665, 120, 1342, 1764, 28741, 1125, 1158, 8483, 2164, 1190, 7017, 1768, 2077, 4313, 1186, 4592, 1125, 1173, 1456, 5173, 1119, 2750, 2782, 8217, 488, 124, 130, 13513, 1104, 12088, 3436, 1167, 488, 124, 132, 7566, 187, 19055, 1895, 1715, 1199, 1469, 2435, 1408, 1125, 488, 124, 124, 123, 123, 1125, 1909, 488, 125, 126, 132, 132, 1304, 25502, 1272, 24962, 187, 1435, 30419, 31135, 1369, 5612, 26194, 1945, 172, 1594, 1251, 20042, 21477, 14097, 1397, 1273, 3794, 27606, 1256, 1197, 12339, 28353, 2252, 1186, 13933, 12991, 119, 1256, 8182, 10399, 1435, 1227, 4523, 2215, 3266, 1768, 1894, 1105, 21141, 1186, 488, 125, 123, 124, 128, 2782, 11278, 10399, 1435, 1188, 488, 124, 488, 123, 123, 123, 13061, 1125, 22941, 1167, 2976, 172, 1300, 6536, 1158, 6277, 2519, 4089, 176, 1125, 5759, 1125, 1713, 1196, 1167, 1318, 6277, 1197, 2377, 1104, 1125, 1158, 1268, 1118, 2596, 1643, 12381, 1110, 1913, 15633, 4855, 1188, 1189, 15008, 28353, 1109, 23169, 1125, 2262, 21421, 161, 1388, 150, 1992, 2955, 7009, 11309, 1569, 1810, 8328, 1227, 16927, 1125, 1158, 18102, 1125, 1518, 3988, 2750, 22737, 1197, 5764, 1167, 2519, 6327, 2936, 1303, 1300, 15158, 1215, 3454, 2765, 1776, 1187, 1724, 1282, 20346, 1125, 10399, 1435, 121, 1867, 6698, 2460, 8035, 192, 1266, 1569, 4520, 1195, 1810, 1859, 6303, 1197, 8176, 19878, 1701, 1125, 1282, 25502, 1272, 1227, 4523, 23621, 5255, 172, 1257, 6027, 17889, 1906, 1170, 4523, 23621, 109, 12825, 1275, 2266, 1120, 1508, 1253, 1436, 187, 20909, 1300, 1318, 6233, 1125, 488, 124, 7275, 2054, 488, 123, 119, 128, 1498, 5784, 1768, 7032, 1309, 1170, 20901, 1281, 2666, 1513, 1728, 4568, 2567, 1304, 31516, 1170, 3080, 1125, 1158, 4592, 15826, 31942, 1125, 5764, 25194, 17935, 1194, 11333, 5888, 176, 1424, 12253, 1197, 17766, 1322, 1234, 1167, 3664, 1439, 1392, 1125, 16535, 16682, 1234, 3672, 1158, 22925, 12507, 10999, 9323, 1167, 5474, 17994, 7364, 5825, 2093, 25158, 192, 1187, 29413, 1125, 1158, 18102, 29304, 1366, 12273, 4964, 1505, 192, 1187, 29413, 1125, 1158, 22925, 12507, 10999, 7201, 1125, 20901, 2056, 13974, 17034, 1186, 488, 124, 132, 127, 123, 1875, 1342, 1229, 13826, 1188, 29650, 1141, 17174, 1875, 1342, 1229, 2077, 5012, 1186, 488, 124, 132, 127, 127, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 157, 23883, 1350, 121, 7212, 1175, 124, 128, 2875, 488, 124, 132, 123, 126, 119, 3318, 1123, 1246, 1237, 119, 27757, 1109, 1323, 488, 124, 128, 2578, 488, 124, 132, 132, 128, 119, 7307, 1217, 1108, 1810, 7892, 1214, 116, 1299, 1189, 18123, 5427, 1227, 1594, 8403, 4716, 7606, 2357, 11129, 1256, 1207, 5490, 1180, 14693, 14231, 23159, 6417, 4134, 1194, 124, 132, 127, 129, 1257, 1643, 4668, 25550, 1188, 7585, 106, 124, 132, 127, 130, 1257, 4553, 17922, 1125, 18989, 106, 124, 132, 127, 131, 1257, 22894, 17697, 1165, 1652, 18750, 106, 124, 132, 127, 131, 1257, 1222, 1783, 1762, 1170, 4170, 30145, 1105, 7272, 106, 124, 132, 127, 132, 1257, 1548, 1165, 4347, 3595, 1167, 1170, 26820, 12904, 1731, 106, 124, 132, 128, 123, 1257, 1165, 1274, 189, 9556, 106, 124, 132, 128, 124, 1257, 16515, 1317, 3293, 1197, 16065, 3023, 106, 124, 132, 128, 126, 1257, 10948, 11435, 106, 124, 132, 128, 127, 1257, 1352, 8467, 1204, 1415, 23121, 1813, 2290, 1207, 1127, 20611, 124, 132, 128, 128, 1257, 5191, 196, 9282, 1784, 1706, 119, 10973, 1197, 1441, 1228, 6397, 106, 124, 132, 128, 128, 1257, 1643, 18121, 1167, 1170, 1165, 1728, 1210, 1379, 106, 124, 132, 128, 128, 1257, 1200, 1764, 5519, 9971, 106, 124, 132, 128, 130, 1257, 17488, 6729, 5421, 20611, 124, 132, 128, 130, 120, 124, 132, 129, 124, 1257, 2397, 1121, 1150, 3615, 2974, 23170, 1260, 124, 132, 128, 130, 120, 124, 132, 128, 131, 1257, 1410, 1173, 15324, 1161, 30531, 23238, 1706, 1175, 129, 21299, 1260, 124, 132, 128, 132, 1257, 16654, 1317, 3293, 1197, 8287, 2035, 1193, 2097, 106, 124, 132, 128, 132, 1257, 1643, 18121, 1317, 6141, 17937, 1199, 106, 124, 132, 129, 124, 1257, 1808, 488, 124, 123, 124, 1222, 14955, 1384, 1462, 106, 124, 132, 129, 124, 1257, 24264, 4410, 2065, 1361, 190, 1153, 106, 124, 132, 129, 124, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 6472, 124, 132, 129, 125, 1257, 9901, 6273, 8237, 124, 132, 129, 125, 1257, 5950, 184, 1762, 1135, 14815, 120, 2437, 2499, 1132, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 126, 1257, 8580, 5386, 1282, 1686, 1210, 1119, 1836, 106, 124, 132, 129, 126, 1257, 28111, 2460, 1142, 2562, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 127, 1257, 10016, 1202, 2256, 1554, 106, 124, 132, 129, 128, 120, 124, 132, 129, 129, 1257, 1293, 5738, 1681, 1107, 3615, 2974, 23170, 1260, 124, 132, 129, 128, 1257, 1518, 1142, 4954, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 130, 1257, 2576, 147, 1105, 19293, 21087, 1319, 1109, 17298, 26336, 1842, 1161, 23084, 194, 2840, 21087, 1319, 1109, 1260, 124, 132, 129, 130, 1257, 1548, 21358, 1125, 1158, 1225, 3513, 1126, 106, 124, 132, 129, 132, 1257, 11040, 8237, 124, 132, 130, 123, 1257, 1808, 1922, 1267, 5200, 1889, 106, 124, 132, 130, 124, 1257, 2576, 3652, 189, 1655, 176, 3594, 174, 1774, 106, 124, 132, 130, 125, 1257, 1808, 1192, 1672, 1842, 1125, 14937, 120, 1334, 4338, 14387, 17298, 1233, 2645, 1635, 1254, 2078, 1260, 124, 132, 130, 130, 1257, 1808, 1192, 1672, 1842, 1125, 1325, 6883, 1214, 1282, 1627, 1105, 24281, 1416, 6897, 5702, 1853, 2607, 22928, 1188, 14097, 22321, 1227, 6005, 1594, 106, 124, 132, 129, 125, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 172, 1175, 124, 132, 129, 124, 1260, 124, 132, 129, 126, 1257, 9901, 6273, 1590, 1175, 124, 132, 129, 125, 1260, 124, 132, 129, 128, 1257, 10016, 1202, 2256, 1554, 1175, 124, 132, 129, 127, 1718, 28870, 5825, 9323, 1167, 5474, 12662, 7849, 1902, 14693, 1227, 9452, 3229, 20073, 5427, 1227, 1594, 8403, 8156, 1186, 2875, 488, 124, 132, 123, 126, 8156, 1313, 1170, 21836, 1125, 3318, 1123, 1246, 1237, 9317, 1186, 2578, 488, 124, 132, 132, 128, 9317, 1188, 7307, 1217, 8270, 9317, 1188, 488, 132, 125, 2165, 32001, 1424, 32000, 20036, 1750, 23883, 1350, 121, 7212, 1175, 124, 128, 2875, 488, 124, 132, 123, 126, 119, 3318, 1123, 1246, 1237, 119, 27757, 1109, 1323, 488, 124, 128, 2578, 488, 124, 132, 132, 128, 119, 7307, 1217, 1108, 1810, 7892, 1214, 116, 1299, 1189, 18123, 5427, 1227, 1594, 8403, 4716, 7606, 2357, 11129, 1256, 1207, 5490, 1180, 14693, 14231, 23159, 6417, 4134, 1194, 124, 132, 127, 129, 1257, 1643, 4668, 25550, 1188, 7585, 106, 124, 132, 127, 130, 1257, 4553, 17922, 1125, 18989, 106, 124, 132, 127, 131, 1257, 22894, 17697, 1165, 1652, 18750, 106, 124, 132, 127, 131, 1257, 1222, 1783, 1762, 1170, 4170, 30145, 1105, 7272, 106, 124, 132, 127, 132, 1257, 1548, 1165, 4347, 3595, 1167, 1170, 26820, 12904, 1731, 106, 124, 132, 128, 123, 1257, 1165, 1274, 189, 9556, 106, 124, 132, 128, 124, 1257, 16515, 1317, 3293, 1197, 16065, 3023, 106, 124, 132, 128, 126, 1257, 10948, 11435, 106, 124, 132, 128, 127, 1257, 1352, 8467, 1204, 1415, 23121, 1813, 2290, 1207, 1127, 20611, 124, 132, 128, 128, 1257, 5191, 196, 9282, 1784, 1706, 119, 10973, 1197, 1441, 1228, 6397, 106, 124, 132, 128, 128, 1257, 1643, 18121, 1167, 1170, 1165, 1728, 1210, 1379, 106, 124, 132, 128, 128, 1257, 1200, 1764, 5519, 9971, 106, 124, 132, 128, 130, 1257, 17488, 6729, 5421, 20611, 124, 132, 128, 130, 120, 124, 132, 129, 124, 1257, 2397, 1121, 1150, 3615, 2974, 23170, 1260, 124, 132, 128, 130, 120, 124, 132, 128, 131, 1257, 1410, 1173, 15324, 1161, 30531, 23238, 1706, 1175, 129, 21299, 1260, 124, 132, 128, 132, 1257, 16654, 1317, 3293, 1197, 8287, 2035, 1193, 2097, 106, 124, 132, 128, 132, 1257, 1643, 18121, 1317, 6141, 17937, 1199, 106, 124, 132, 129, 124, 1257, 1808, 488, 124, 123, 124, 1222, 14955, 1384, 1462, 106, 124, 132, 129, 124, 1257, 24264, 4410, 2065, 1361, 190, 1153, 106, 124, 132, 129, 124, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 6472, 124, 132, 129, 125, 1257, 9901, 6273, 8237, 124, 132, 129, 125, 1257, 5950, 184, 1762, 1135, 14815, 120, 2437, 2499, 1132, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 126, 1257, 8580, 5386, 1282, 1686, 1210, 1119, 1836, 106, 124, 132, 129, 126, 1257, 28111, 2460, 1142, 2562, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 127, 1257, 10016, 1202, 2256, 1554, 106, 124, 132, 129, 128, 120, 124, 132, 129, 129, 1257, 1293, 5738, 1681, 1107, 3615, 2974, 23170, 1260, 124, 132, 129, 128, 1257, 1518, 1142, 4954, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 130, 1257, 2576, 147, 1105, 19293, 21087, 1319, 1109, 17298, 26336, 1842, 1161, 23084, 194, 2840, 21087, 1319, 1109, 1260, 124, 132, 129, 130, 1257, 1548, 21358, 1125, 1158, 1225, 3513, 1126, 106, 124, 132, 129, 132, 1257, 11040, 8237, 124, 132, 130, 123, 1257, 1808, 1922, 1267, 5200, 1889, 106, 124, 132, 130, 124, 1257, 2576, 3652, 189, 1655, 176, 3594, 174, 1774, 106, 124, 132, 130, 125, 1257, 1808, 1192, 1672, 1842, 1125, 14937, 120, 1334, 4338, 14387, 17298, 1233, 2645, 1635, 1254, 2078, 1260, 124, 132, 130, 130, 1257, 1808, 1192, 1672, 1842, 1125, 1325, 6883, 1214, 1282, 1627, 1105, 24281, 1416, 6897, 5702, 1853, 2607, 22928, 1188, 14097, 22321, 1227, 6005, 1594, 106, 124, 132, 129, 125, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 172, 1175, 124, 132, 129, 124, 1260, 124, 132, 129, 126, 1257, 9901, 6273, 1590, 1175, 124, 132, 129, 125, 1260, 124, 132, 129, 128, 1257, 10016, 1202, 2256, 1554, 1175, 124, 132, 129, 127, 1718, 28870, 5825, 9323, 1167, 5474, 12662, 7849, 1902, 14693, 1227, 9452, 3229, 20073, 5427, 1227, 1594, 8403, 8156, 1186, 2875, 488, 124, 132, 123, 126, 8156, 1313, 1170, 21836, 1125, 3318, 1123, 1246, 1237, 9317, 1186, 2578, 488, 124, 132, 132, 128, 9317, 1188, 7307, 1217, 8270, 9317, 1188, 488, 132, 125, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1750, 23883, 1350, 121, 7212, 1175, 124, 128, 2875, 488, 124, 132, 123, 126, 119, 3318, 1123, 1246, 1237, 119, 27757, 1109, 1323, 488, 124, 128, 2578, 488, 124, 132, 132, 128, 119, 7307, 1217, 1108, 1810, 7892, 1214, 116, 1299, 1189, 18123, 5427, 1227, 1594, 8403, 4716, 7606, 2357, 11129, 1256, 1207, 5490, 1180, 14693, 14231, 23159, 6417, 4134, 1194, 124, 132, 127, 129, 1257, 1643, 4668, 25550, 1188, 7585, 106, 124, 132, 127, 130, 1257, 4553, 17922, 1125, 18989, 106, 124, 132, 127, 131, 1257, 22894, 17697, 1165, 1652, 18750, 106, 124, 132, 127, 131, 1257, 1222, 1783, 1762, 1170, 4170, 30145, 1105, 7272, 106, 124, 132, 127, 132, 1257, 1548, 1165, 4347, 3595, 1167, 1170, 26820, 12904, 1731, 106, 124, 132, 128, 123, 1257, 1165, 1274, 189, 9556, 106, 124, 132, 128, 124, 1257, 16515, 1317, 3293, 1197, 16065, 3023, 106, 124, 132, 128, 126, 1257, 10948, 11435, 106, 124, 132, 128, 127, 1257, 1352, 8467, 1204, 1415, 23121, 1813, 2290, 1207, 1127, 20611, 124, 132, 128, 128, 1257, 5191, 196, 9282, 1784, 1706, 119, 10973, 1197, 1441, 1228, 6397, 106, 124, 132, 128, 128, 1257, 1643, 18121, 1167, 1170, 1165, 1728, 1210, 1379, 106, 124, 132, 128, 128, 1257, 1200, 1764, 5519, 9971, 106, 124, 132, 128, 130, 1257, 17488, 6729, 5421, 20611, 124, 132, 128, 130, 120, 124, 132, 129, 124, 1257, 2397, 1121, 1150, 3615, 2974, 23170, 1260, 124, 132, 128, 130, 120, 124, 132, 128, 131, 1257, 1410, 1173, 15324, 1161, 30531, 23238, 1706, 1175, 129, 21299, 1260, 124, 132, 128, 132, 1257, 16654, 1317, 3293, 1197, 8287, 2035, 1193, 2097, 106, 124, 132, 128, 132, 1257, 1643, 18121, 1317, 6141, 17937, 1199, 106, 124, 132, 129, 124, 1257, 1808, 488, 124, 123, 124, 1222, 14955, 1384, 1462, 106, 124, 132, 129, 124, 1257, 24264, 4410, 2065, 1361, 190, 1153, 106, 124, 132, 129, 124, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 6472, 124, 132, 129, 125, 1257, 9901, 6273, 8237, 124, 132, 129, 125, 1257, 5950, 184, 1762, 1135, 14815, 120, 2437, 2499, 1132, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 126, 1257, 8580, 5386, 1282, 1686, 1210, 1119, 1836, 106, 124, 132, 129, 126, 1257, 28111, 2460, 1142, 2562, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 127, 1257, 10016, 1202, 2256, 1554, 106, 124, 132, 129, 128, 120, 124, 132, 129, 129, 1257, 1293, 5738, 1681, 1107, 3615, 2974, 23170, 1260, 124, 132, 129, 128, 1257, 1518, 1142, 4954, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 130, 1257, 2576, 147, 1105, 19293, 21087, 1319, 1109, 17298, 26336, 1842, 1161, 23084, 194, 2840, 21087, 1319, 1109, 1260, 124, 132, 129, 130, 1257, 1548, 21358, 1125, 1158, 1225, 3513, 1126, 106, 124, 132, 129, 132, 1257, 11040, 8237, 124, 132, 130, 123, 1257, 1808, 1922, 1267, 5200, 1889, 106, 124, 132, 130, 124, 1257, 2576, 3652, 189, 1655, 176, 3594, 174, 1774, 106, 124, 132, 130, 125, 1257, 1808, 1192, 1672, 1842, 1125, 14937, 120, 1334, 4338, 14387, 17298, 1233, 2645, 1635, 1254, 2078, 1260, 124, 132, 130, 130, 1257, 1808, 1192, 1672, 1842, 1125, 1325, 6883, 1214, 1282, 1627, 1105, 24281, 1416, 6897, 5702, 1853, 2607, 22928, 1188, 14097, 22321, 1227, 6005, 1594, 106, 124, 132, 129, 125, 1257, 1643, 1252, 180, 1452, 1303, 1125, 4105, 172, 1175, 124, 132, 129, 124, 1260, 124, 132, 129, 126, 1257, 9901, 6273, 1590, 1175, 124, 132, 129, 125, 1260, 124, 132, 129, 128, 1257, 10016, 1202, 2256, 1554, 1175, 124, 132, 129, 127, 1718, 28870, 5825, 9323, 1167, 5474, 12662, 7849, 1902, 14693, 1227, 9452, 3229, 20073, 5427, 1227, 1594, 8403, 8156, 1186, 2875, 488, 124, 132, 123, 126, 8156, 1313, 1170, 21836, 1125, 3318, 1123, 1246, 1237, 9317, 1186, 2578, 488, 124, 132, 132, 128, 9317, 1188, 7307, 1217, 8270, 9317, 1188, 488, 132, 125, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 141, 19505, 19877, 4988, 17181, 189, 3100, 2690, 1606, 1170, 1933, 1515, 1524, 1256, 1170, 30299, 1125, 1594, 1238, 2927, 1167, 1215, 3191, 31443, 19877, 17181, 3948, 1170, 1352, 15828, 5252, 1170, 488, 124, 130, 3141, 488, 124, 129, 132, 131, 1188, 2801, 2585, 1527, 1299, 4541, 1170, 488, 131, 2749, 488, 124, 130, 130, 125, 119, 1299, 1189, 11912, 1136, 2720, 14231, 23159, 2312, 1227, 11912, 1136, 14269, 31456, 3699, 17181, 189, 3100, 1357, 3618, 22386, 1207, 6766, 1125, 1594, 5814, 1125, 23317, 17181, 189, 3100, 1527, 2985, 19778, 1215, 1594, 9159, 1357, 1147, 2652, 1134, 172, 1170, 12953, 1227, 10977, 1167, 1288, 1170, 5686, 172, 1281, 4271, 1188, 1158, 9427, 1278, 1309, 23347, 1170, 5562, 1186, 4946, 14692, 1327, 13260, 1469, 17626, 1207, 6843, 1842, 1357, 2435, 16921, 12919, 1457, 3699, 17181, 189, 3100, 1357, 3618, 1186, 2435, 1189, 9123, 2299, 7854, 1125, 4203, 12001, 10452, 172, 1594, 8658, 1313, 1158, 8401, 1309, 10028, 3618, 27849, 1167, 1313, 5685, 1527, 3618, 9918, 1170, 9672, 29637, 1170, 31847, 9282, 197, 3683, 31443, 19877, 4988, 17181, 3948, 2646, 9269, 1318, 1233, 2562, 2035, 3556, 27988, 1158, 4556, 24150, 25782, 1548, 3091, 1342, 1272, 1167, 18145, 1167, 1909, 13257, 5016, 1199, 1125, 1173, 1259, 1544, 1167, 1170, 1222, 1603, 2900, 25782, 1352, 17526, 7551, 121, 6487, 7959, 9569, 7670, 7723, 244, 1125, 1325, 15121, 7011, 1527, 2646, 9269, 3945, 7111, 25782, 1440, 13822, 1257, 6659, 184, 1157, 2627, 2569, 2357, 1170, 23908, 1125, 1158, 17484, 119, 1170, 7100, 1494, 4322, 1640, 119, 1158, 5941, 1206, 3293, 1119, 6664, 1207, 4148, 1632, 1525, 4322, 245, 15354, 1170, 1202, 2139, 120, 23478, 1204, 2715, 197, 1130, 1109, 1167, 1158, 4608, 2561, 7041, 25782, 30005, 2360, 119, 1170, 16176, 6887, 1167, 1170, 4390, 7258, 1200, 1699, 1174, 1326, 7349, 1199, 1170, 18469, 1227, 15722, 2893, 28415, 8008, 1292, 2851, 7670, 9427, 244, 1188, 9179, 14899, 1148, 25782, 1125, 21659, 1762, 1357, 1299, 1318, 1264, 3383, 1125, 3828, 9826, 14743, 1303, 1469, 1318, 20473, 1167, 1318, 24456, 1336, 1309, 6224, 6666, 10423, 2121, 2076, 1317, 1859, 2045, 172, 1158, 4946, 1125, 3712, 1219, 1399, 1389, 7482, 1506, 3948, 1170, 1933, 1515, 18898, 1212, 1207, 20153, 1125, 31443, 249, 3378, 1906, 1408, 11990, 1309, 1594, 9159, 1167, 1309, 1594, 1238, 2927, 119, 1281, 13695, 13988, 1215, 1318, 10423, 24456, 1336, 1313, 1170, 2498, 1167, 1215, 1318, 1584, 1849, 2445, 10423, 1125, 11898, 4746, 6280, 1264, 3383, 3186, 1382, 1300, 6819, 1303, 1125, 28909, 1734, 1158, 9537, 1299, 1830, 1303, 1215, 1170, 7207, 1227, 11002, 1798, 1183, 2983, 2288, 1129, 3458, 6976, 4153, 1167, 26002, 19360, 10743, 1399, 1160, 2534, 1234, 8691, 1199, 1207, 5737, 2372, 3576, 1571, 5737, 1455, 7324, 24369, 244, 1469, 17875, 29092, 119, 1170, 9531, 1109, 7424, 1188, 2176, 25914, 2904, 4345, 1425, 1627, 1309, 1158, 19441, 1110, 27656, 3280, 14844, 1234, 1167, 8137, 1317, 3234, 244, 1798, 172, 3294, 21747, 1107, 9179, 14899, 3212, 2487, 1527, 14857, 2445, 119, 1188, 1158, 11641, 1125, 1909, 14547, 1416, 3402, 4995, 2511, 10413, 1469, 10743, 1399, 1389, 121, 3762, 1561, 29288, 9531, 1109, 1167, 13933, 14899, 1148, 1281, 10394, 24188, 1856, 1207, 5542, 26462, 2290, 1170, 1113, 2588, 1334, 1227, 18866, 12258, 1110, 9427, 2357, 1256, 20558, 29780, 1373, 1125, 9436, 24354, 2466, 193, 2944, 1170, 18469, 1125, 1594, 1238, 2927, 31443, 19877, 1170, 1352, 2636, 25782, 1318, 13391, 1125, 23503, 26352, 1548, 11912, 1136, 1305, 1442, 31456, 6709, 9436, 119, 1357, 1110, 1913, 1594, 29139, 119, 1110, 5416, 244, 1207, 26002, 1125, 31443, 19877, 1170, 1933, 1515, 121, 3767, 5154, 1212, 1125, 9179, 14899, 1148, 1125, 6709, 9436, 119, 1238, 5672, 2008, 2079, 8623, 141, 19505, 19877, 4988, 17181, 3948, 3618, 3391, 1212, 2357, 1170, 488, 124, 128, 2822, 488, 124, 130, 127, 126, 119, 7980, 14861, 25855, 1200, 3604, 1109, 7745, 3249, 16855, 6604, 1291, 1224, 3366, 1808, 1922, 22044, 31797, 119, 1859, 1808, 17181, 189, 3100, 6721, 4839, 21757, 1125, 26012, 3378, 488, 124, 131, 132, 125, 119, 488, 131, 129, 7364, 5825, 31577, 1154, 31753, 2720, 1227, 11402, 31549, 6298, 12416, 3692, 1793, 2720, 1227, 11402, 31549, 6298, 1266, 3400, 1188, 2801, 1266, 3400, 1186, 3141, 488, 124, 129, 132, 131, 6064, 1467, 1186, 2749, 488, 124, 130, 130, 125, 6064, 1467, 1188, 2801, 6064, 1467, 1188, 488, 130, 126, 8793, 32001, 1424, 32000, 20036, 2056, 19505, 19877, 4988, 17181, 189, 3100, 2690, 1606, 1170, 1933, 1515, 1524, 1256, 1170, 30299, 1125, 1594, 1238, 2927, 1167, 1215, 3191, 31443, 19877, 17181, 3948, 1170, 1352, 15828, 5252, 1170, 488, 124, 130, 3141, 488, 124, 129, 132, 131, 1188, 2801, 2585, 1527, 1299, 4541, 1170, 488, 131, 2749, 488, 124, 130, 130, 125, 119, 1299, 1189, 11912, 1136, 2720, 14231, 23159, 2312, 1227, 11912, 1136, 14269, 31456, 3699, 17181, 189, 3100, 1357, 3618, 22386, 1207, 6766, 1125, 1594, 5814, 1125, 23317, 17181, 189, 3100, 1527, 2985, 19778, 1215, 1594, 9159, 1357, 1147, 2652, 1134, 172, 1170, 12953, 1227, 10977, 1167, 1288, 1170, 5686, 172, 1281, 4271, 1188, 1158, 9427, 1278, 1309, 23347, 1170, 5562, 1186, 4946, 14692, 1327, 13260, 1469, 17626, 1207, 6843, 1842, 1357, 2435, 16921, 12919, 1457, 3699, 17181, 189, 3100, 1357, 3618, 1186, 2435, 1189, 9123, 2299, 7854, 1125, 4203, 12001, 10452, 172, 1594, 8658, 1313, 1158, 8401, 1309, 10028, 3618, 27849, 1167, 1313, 5685, 1527, 3618, 9918, 1170, 9672, 29637, 1170, 31847, 9282, 197, 3683, 31443, 19877, 4988, 17181, 3948, 2646, 9269, 1318, 1233, 2562, 2035, 3556, 27988, 1158, 4556, 24150, 25782, 1548, 3091, 1342, 1272, 1167, 18145, 1167, 1909, 13257, 5016, 1199, 1125, 1173, 1259, 1544, 1167, 1170, 1222, 1603, 2900, 25782, 1352, 17526, 7551, 121, 6487, 7959, 9569, 7670, 7723, 244, 1125, 1325, 15121, 7011, 1527, 2646, 9269, 3945, 7111, 25782, 1440, 13822, 1257, 6659, 184, 1157, 2627, 2569, 2357, 1170, 23908, 1125, 1158, 17484, 119, 1170, 7100, 1494, 4322, 1640, 119, 1158, 5941, 1206, 3293, 1119, 6664, 1207, 4148, 1632, 1525, 4322, 245, 15354, 1170, 1202, 2139, 120, 23478, 1204, 2715, 197, 1130, 1109, 1167, 1158, 4608, 2561, 7041, 25782, 30005, 2360, 119, 1170, 16176, 6887, 1167, 1170, 4390, 7258, 1200, 1699, 1174, 1326, 7349, 1199, 1170, 18469, 1227, 15722, 2893, 28415, 8008, 1292, 2851, 7670, 9427, 244, 1188, 9179, 14899, 1148, 25782, 1125, 21659, 1762, 1357, 1299, 1318, 1264, 3383, 1125, 3828, 9826, 14743, 1303, 1469, 1318, 20473, 1167, 1318, 24456, 1336, 1309, 6224, 6666, 10423, 2121, 2076, 1317, 1859, 2045, 172, 1158, 4946, 1125, 3712, 1219, 1399, 1389, 7482, 1506, 3948, 1170, 1933, 1515, 18898, 1212, 1207, 20153, 1125, 31443, 249, 3378, 1906, 1408, 11990, 1309, 1594, 9159, 1167, 1309, 1594, 1238, 2927, 119, 1281, 13695, 13988, 1215, 1318, 10423, 24456, 1336, 1313, 1170, 2498, 1167, 1215, 1318, 1584, 1849, 2445, 10423, 1125, 11898, 4746, 6280, 1264, 3383, 3186, 1382, 1300, 6819, 1303, 1125, 28909, 1734, 1158, 9537, 1299, 1830, 1303, 1215, 1170, 7207, 1227, 11002, 1798, 1183, 2983, 2288, 1129, 3458, 6976, 4153, 1167, 26002, 19360, 10743, 1399, 1160, 2534, 1234, 8691, 1199, 1207, 5737, 2372, 3576, 1571, 5737, 1455, 7324, 24369, 244, 1469, 17875, 29092, 119, 1170, 9531, 1109, 7424, 1188, 2176, 25914, 2904, 4345, 1425, 1627, 1309, 1158, 19441, 1110, 27656, 3280, 14844, 1234, 1167, 8137, 1317, 3234, 244, 1798, 172, 3294, 21747, 1107, 9179, 14899, 3212, 2487, 1527, 14857, 2445, 119, 1188, 1158, 11641, 1125, 1909, 14547, 1416, 3402, 4995, 2511, 10413, 1469, 10743, 1399, 1389, 121, 3762, 1561, 29288, 9531, 1109, 1167, 13933, 14899, 1148, 1281, 10394, 24188, 1856, 1207, 5542, 26462, 2290, 1170, 1113, 2588, 1334, 1227, 18866, 12258, 1110, 9427, 2357, 1256, 20558, 29780, 1373, 1125, 9436, 24354, 2466, 193, 2944, 1170, 18469, 1125, 1594, 1238, 2927, 31443, 19877, 1170, 1352, 2636, 25782, 1318, 13391, 1125, 23503, 26352, 1548, 11912, 1136, 1305, 1442, 31456, 6709, 9436, 119, 1357, 1110, 1913, 1594, 29139, 119, 1110, 5416, 244, 1207, 26002, 1125, 31443, 19877, 1170, 1933, 1515, 121, 3767, 5154, 1212, 1125, 9179, 14899, 1148, 1125, 6709, 9436, 119, 1238, 5672, 2008, 2079, 8623, 141, 19505, 19877, 4988, 17181, 3948, 3618, 3391, 1212, 2357, 1170, 488, 124, 128, 2822, 488, 124, 130, 127, 126, 119, 7980, 14861, 25855, 1200, 3604, 1109, 7745, 3249, 16855, 6604, 1291, 1224, 3366, 1808, 1922, 22044, 31797, 119, 1859, 1808, 17181, 189, 3100, 6721, 4839, 21757, 1125, 26012, 3378, 488, 124, 131, 132, 125, 119, 488, 131, 129, 7364, 5825, 31577, 1154, 31753, 2720, 1227, 11402, 31549, 6298, 12416, 3692, 1793, 2720, 1227, 11402, 31549, 6298, 1266, 3400, 1188, 2801, 1266, 3400, 1186, 3141, 488, 124, 129, 132, 131, 6064, 1467, 1186, 2749, 488, 124, 130, 130, 125, 6064, 1467, 1188, 2801, 6064, 1467, 1188, 488, 130, 126, 8793, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2056, 19505, 19877, 4988, 17181, 189, 3100, 2690, 1606, 1170, 1933, 1515, 1524, 1256, 1170, 30299, 1125, 1594, 1238, 2927, 1167, 1215, 3191, 31443, 19877, 17181, 3948, 1170, 1352, 15828, 5252, 1170, 488, 124, 130, 3141, 488, 124, 129, 132, 131, 1188, 2801, 2585, 1527, 1299, 4541, 1170, 488, 131, 2749, 488, 124, 130, 130, 125, 119, 1299, 1189, 11912, 1136, 2720, 14231, 23159, 2312, 1227, 11912, 1136, 14269, 31456, 3699, 17181, 189, 3100, 1357, 3618, 22386, 1207, 6766, 1125, 1594, 5814, 1125, 23317, 17181, 189, 3100, 1527, 2985, 19778, 1215, 1594, 9159, 1357, 1147, 2652, 1134, 172, 1170, 12953, 1227, 10977, 1167, 1288, 1170, 5686, 172, 1281, 4271, 1188, 1158, 9427, 1278, 1309, 23347, 1170, 5562, 1186, 4946, 14692, 1327, 13260, 1469, 17626, 1207, 6843, 1842, 1357, 2435, 16921, 12919, 1457, 3699, 17181, 189, 3100, 1357, 3618, 1186, 2435, 1189, 9123, 2299, 7854, 1125, 4203, 12001, 10452, 172, 1594, 8658, 1313, 1158, 8401, 1309, 10028, 3618, 27849, 1167, 1313, 5685, 1527, 3618, 9918, 1170, 9672, 29637, 1170, 31847, 9282, 197, 3683, 31443, 19877, 4988, 17181, 3948, 2646, 9269, 1318, 1233, 2562, 2035, 3556, 27988, 1158, 4556, 24150, 25782, 1548, 3091, 1342, 1272, 1167, 18145, 1167, 1909, 13257, 5016, 1199, 1125, 1173, 1259, 1544, 1167, 1170, 1222, 1603, 2900, 25782, 1352, 17526, 7551, 121, 6487, 7959, 9569, 7670, 7723, 244, 1125, 1325, 15121, 7011, 1527, 2646, 9269, 3945, 7111, 25782, 1440, 13822, 1257, 6659, 184, 1157, 2627, 2569, 2357, 1170, 23908, 1125, 1158, 17484, 119, 1170, 7100, 1494, 4322, 1640, 119, 1158, 5941, 1206, 3293, 1119, 6664, 1207, 4148, 1632, 1525, 4322, 245, 15354, 1170, 1202, 2139, 120, 23478, 1204, 2715, 197, 1130, 1109, 1167, 1158, 4608, 2561, 7041, 25782, 30005, 2360, 119, 1170, 16176, 6887, 1167, 1170, 4390, 7258, 1200, 1699, 1174, 1326, 7349, 1199, 1170, 18469, 1227, 15722, 2893, 28415, 8008, 1292, 2851, 7670, 9427, 244, 1188, 9179, 14899, 1148, 25782, 1125, 21659, 1762, 1357, 1299, 1318, 1264, 3383, 1125, 3828, 9826, 14743, 1303, 1469, 1318, 20473, 1167, 1318, 24456, 1336, 1309, 6224, 6666, 10423, 2121, 2076, 1317, 1859, 2045, 172, 1158, 4946, 1125, 3712, 1219, 1399, 1389, 7482, 1506, 3948, 1170, 1933, 1515, 18898, 1212, 1207, 20153, 1125, 31443, 249, 3378, 1906, 1408, 11990, 1309, 1594, 9159, 1167, 1309, 1594, 1238, 2927, 119, 1281, 13695, 13988, 1215, 1318, 10423, 24456, 1336, 1313, 1170, 2498, 1167, 1215, 1318, 1584, 1849, 2445, 10423, 1125, 11898, 4746, 6280, 1264, 3383, 3186, 1382, 1300, 6819, 1303, 1125, 28909, 1734, 1158, 9537, 1299, 1830, 1303, 1215, 1170, 7207, 1227, 11002, 1798, 1183, 2983, 2288, 1129, 3458, 6976, 4153, 1167, 26002, 19360, 10743, 1399, 1160, 2534, 1234, 8691, 1199, 1207, 5737, 2372, 3576, 1571, 5737, 1455, 7324, 24369, 244, 1469, 17875, 29092, 119, 1170, 9531, 1109, 7424, 1188, 2176, 25914, 2904, 4345, 1425, 1627, 1309, 1158, 19441, 1110, 27656, 3280, 14844, 1234, 1167, 8137, 1317, 3234, 244, 1798, 172, 3294, 21747, 1107, 9179, 14899, 3212, 2487, 1527, 14857, 2445, 119, 1188, 1158, 11641, 1125, 1909, 14547, 1416, 3402, 4995, 2511, 10413, 1469, 10743, 1399, 1389, 121, 3762, 1561, 29288, 9531, 1109, 1167, 13933, 14899, 1148, 1281, 10394, 24188, 1856, 1207, 5542, 26462, 2290, 1170, 1113, 2588, 1334, 1227, 18866, 12258, 1110, 9427, 2357, 1256, 20558, 29780, 1373, 1125, 9436, 24354, 2466, 193, 2944, 1170, 18469, 1125, 1594, 1238, 2927, 31443, 19877, 1170, 1352, 2636, 25782, 1318, 13391, 1125, 23503, 26352, 1548, 11912, 1136, 1305, 1442, 31456, 6709, 9436, 119, 1357, 1110, 1913, 1594, 29139, 119, 1110, 5416, 244, 1207, 26002, 1125, 31443, 19877, 1170, 1933, 1515, 121, 3767, 5154, 1212, 1125, 9179, 14899, 1148, 1125, 6709, 9436, 119, 1238, 5672, 2008, 2079, 8623, 141, 19505, 19877, 4988, 17181, 3948, 3618, 3391, 1212, 2357, 1170, 488, 124, 128, 2822, 488, 124, 130, 127, 126, 119, 7980, 14861, 25855, 1200, 3604, 1109, 7745, 3249, 16855, 6604, 1291, 1224, 3366, 1808, 1922, 22044, 31797, 119, 1859, 1808, 17181, 189, 3100, 6721, 4839, 21757, 1125, 26012, 3378, 488, 124, 131, 132, 125, 119, 488, 131, 129, 7364, 5825, 31577, 1154, 31753, 2720, 1227, 11402, 31549, 6298, 12416, 3692, 1793, 2720, 1227, 11402, 31549, 6298, 1266, 3400, 1188, 2801, 1266, 3400, 1186, 3141, 488, 124, 129, 132, 131, 6064, 1467, 1186, 2749, 488, 124, 130, 130, 125, 6064, 1467, 1188, 2801, 6064, 1467, 1188, 488, 130, 126, 8793, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 9740, 1105, 5245, 1694, 1178, 1488, 1514, 119, 1158, 1352, 17526, 1460, 1186, 2609, 3794, 1299, 1318, 16074, 10891, 1366, 1125, 1158, 4446, 1197, 2941, 8529, 1203, 1662, 1431, 4735, 10177, 3379, 1889, 9769, 1298, 1167, 1838, 3543, 1897, 1250, 9994, 1519, 1712, 1186, 488, 124, 132, 128, 124, 11341, 7803, 244, 1186, 3171, 4153, 1125, 1158, 13996, 1125, 1266, 1214, 14921, 1313, 1170, 5927, 1227, 31082, 3747, 1571, 1522, 8799, 1197, 1367, 1212, 1125, 13513, 1104, 1125, 1158, 22925, 12507, 10999, 1388, 8044, 26540, 8609, 9569, 2797, 1158, 2315, 134, 3793, 1849, 1125, 1158, 3734, 3320, 17432, 244, 2794, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 4968, 8529, 1203, 1662, 1431, 4735, 2586, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 114, 32001, 1424, 32000, 20036, 24623, 9740, 1105, 5245, 1694, 1178, 1488, 1514, 119, 1158, 1352, 17526, 1460, 1186, 2609, 3794, 1299, 1318, 16074, 10891, 1366, 1125, 1158, 4446, 1197, 2941, 8529, 1203, 1662, 1431, 4735, 10177, 3379, 1889, 9769, 1298, 1167, 1838, 3543, 1897, 1250, 9994, 1519, 1712, 1186, 488, 124, 132, 128, 124, 11341, 7803, 244, 1186, 3171, 4153, 1125, 1158, 13996, 1125, 1266, 1214, 14921, 1313, 1170, 5927, 1227, 31082, 3747, 1571, 1522, 8799, 1197, 1367, 1212, 1125, 13513, 1104, 1125, 1158, 22925, 12507, 10999, 1388, 8044, 26540, 8609, 9569, 2797, 1158, 2315, 134, 3793, 1849, 1125, 1158, 3734, 3320, 17432, 244, 2794, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 4968, 8529, 1203, 1662, 1431, 4735, 2586, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 9740, 1105, 5245, 1694, 1178, 1488, 1514, 119, 1158, 1352, 17526, 1460, 1186, 2609, 3794, 1299, 1318, 16074, 10891, 1366, 1125, 1158, 4446, 1197, 2941, 8529, 1203, 1662, 1431, 4735, 10177, 3379, 1889, 9769, 1298, 1167, 1838, 3543, 1897, 1250, 9994, 1519, 1712, 1186, 488, 124, 132, 128, 124, 11341, 7803, 244, 1186, 3171, 4153, 1125, 1158, 13996, 1125, 1266, 1214, 14921, 1313, 1170, 5927, 1227, 31082, 3747, 1571, 1522, 8799, 1197, 1367, 1212, 1125, 13513, 1104, 1125, 1158, 22925, 12507, 10999, 1388, 8044, 26540, 8609, 9569, 2797, 1158, 2315, 134, 3793, 1849, 1125, 1158, 3734, 3320, 17432, 244, 2794, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 4968, 8529, 1203, 1662, 1431, 4735, 2586, 2145, 13006, 12412, 178, 7531, 1403, 1623, 29610, 11246, 116, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 14564, 2119, 1170, 488, 124, 129, 2247, 3935, 5519, 6220, 1204, 1889, 192, 1136, 1810, 9665, 1170, 488, 125, 124, 2749, 488, 125, 123, 123, 127, 1317, 14506, 2290, 1170, 6009, 11398, 1117, 16018, 1313, 1170, 4154, 1227, 1306, 11113, 108, 9719, 1388, 4929, 13700, 2359, 3935, 1299, 5617, 1167, 2513, 1215, 23148, 4876, 7258, 1768, 12669, 1158, 488, 129, 2247, 2320, 1227, 14408, 1125, 14097, 1766, 2114, 1167, 4933, 14399, 3672, 488, 130, 3405, 20585, 1256, 1189, 3983, 1125, 488, 127, 123, 488, 123, 123, 123, 23073, 9516, 6637, 1768, 5016, 2445, 1313, 1318, 9891, 4680, 2806, 1167, 1186, 4561, 5246, 11279, 1352, 109, 6047, 12602, 4023, 2700, 1232, 4273, 176, 138, 9911, 6175, 11835, 1158, 15038, 120, 1117, 1373, 1110, 1913, 13409, 1856, 10395, 10709, 1256, 1318, 9625, 24583, 1256, 1158, 6252, 1125, 1492, 1916, 186, 1149, 1198, 1224, 2960, 1125, 2460, 1439, 1176, 2181, 3450, 11170, 2960, 7670, 1300, 1158, 1417, 18832, 1192, 6220, 1204, 1889, 192, 10103, 10347, 488, 124, 1125, 488, 125, 123, 123, 128, 10803, 15038, 1186, 1235, 3226, 1233, 109, 1299, 1318, 14132, 1227, 3694, 1405, 1210, 289, 1125, 1643, 17498, 17498, 1125, 3871, 3274, 1227, 1306, 11113, 108, 9719, 23447, 17568, 1163, 1165, 1120, 1437, 186, 2114, 9665, 1186, 3935, 1186, 488, 124, 132, 132, 132, 121, 1768, 1299, 21146, 4162, 1186, 23504, 1469, 14765, 1125, 1909, 1279, 120, 13202, 6712, 1192, 1634, 4849, 186, 1459, 1219, 1810, 1158, 5860, 1227, 3274, 1188, 1823, 2377, 1303, 1317, 1306, 108, 155, 9994, 2038, 1197, 8470, 1194, 6198, 1327, 1630, 1430, 1188, 1158, 14022, 3052, 4234, 1468, 1579, 21931, 26363, 8587, 9646, 24565, 1320, 1141, 192, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 123, 124, 1260, 12173, 1204, 3488, 2560, 7224, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 125, 132, 9838, 3488, 2560, 7372, 3584, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 123, 8136, 14440, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 124, 1260, 160, 14866, 1119, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 123, 128, 10225, 4471, 1321, 2275, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 124, 127, 8136, 14440, 161, 4289, 4762, 13727, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 116, 1175, 125, 123, 123, 127, 121, 124, 125, 121, 126, 124, 1718, 28870, 5825, 2105, 3352, 21364, 1227, 3935, 2105, 3352, 21364, 1227, 3935, 1352, 2105, 3352, 1227, 3935, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1227, 3935, 1352, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1300, 1170, 1865, 1125, 14097, 1766, 1105, 1194, 2330, 30181, 11925, 27433, 1215, 1192, 6220, 1204, 1889, 289, 1154, 1628, 11279, 10709, 9665, 1186, 488, 125, 123, 123, 127, 32001, 1424, 32000, 20036, 24368, 1170, 488, 124, 129, 2247, 3935, 5519, 6220, 1204, 1889, 192, 1136, 1810, 9665, 1170, 488, 125, 124, 2749, 488, 125, 123, 123, 127, 1317, 14506, 2290, 1170, 6009, 11398, 1117, 16018, 1313, 1170, 4154, 1227, 1306, 11113, 108, 9719, 1388, 4929, 13700, 2359, 3935, 1299, 5617, 1167, 2513, 1215, 23148, 4876, 7258, 1768, 12669, 1158, 488, 129, 2247, 2320, 1227, 14408, 1125, 14097, 1766, 2114, 1167, 4933, 14399, 3672, 488, 130, 3405, 20585, 1256, 1189, 3983, 1125, 488, 127, 123, 488, 123, 123, 123, 23073, 9516, 6637, 1768, 5016, 2445, 1313, 1318, 9891, 4680, 2806, 1167, 1186, 4561, 5246, 11279, 1352, 109, 6047, 12602, 4023, 2700, 1232, 4273, 176, 138, 9911, 6175, 11835, 1158, 15038, 120, 1117, 1373, 1110, 1913, 13409, 1856, 10395, 10709, 1256, 1318, 9625, 24583, 1256, 1158, 6252, 1125, 1492, 1916, 186, 1149, 1198, 1224, 2960, 1125, 2460, 1439, 1176, 2181, 3450, 11170, 2960, 7670, 1300, 1158, 1417, 18832, 1192, 6220, 1204, 1889, 192, 10103, 10347, 488, 124, 1125, 488, 125, 123, 123, 128, 10803, 15038, 1186, 1235, 3226, 1233, 109, 1299, 1318, 14132, 1227, 3694, 1405, 1210, 289, 1125, 1643, 17498, 17498, 1125, 3871, 3274, 1227, 1306, 11113, 108, 9719, 23447, 17568, 1163, 1165, 1120, 1437, 186, 2114, 9665, 1186, 3935, 1186, 488, 124, 132, 132, 132, 121, 1768, 1299, 21146, 4162, 1186, 23504, 1469, 14765, 1125, 1909, 1279, 120, 13202, 6712, 1192, 1634, 4849, 186, 1459, 1219, 1810, 1158, 5860, 1227, 3274, 1188, 1823, 2377, 1303, 1317, 1306, 108, 155, 9994, 2038, 1197, 8470, 1194, 6198, 1327, 1630, 1430, 1188, 1158, 14022, 3052, 4234, 1468, 1579, 21931, 26363, 8587, 9646, 24565, 1320, 1141, 192, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 123, 124, 1260, 12173, 1204, 3488, 2560, 7224, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 125, 132, 9838, 3488, 2560, 7372, 3584, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 123, 8136, 14440, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 124, 1260, 160, 14866, 1119, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 123, 128, 10225, 4471, 1321, 2275, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 124, 127, 8136, 14440, 161, 4289, 4762, 13727, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 116, 1175, 125, 123, 123, 127, 121, 124, 125, 121, 126, 124, 1718, 28870, 5825, 2105, 3352, 21364, 1227, 3935, 2105, 3352, 21364, 1227, 3935, 1352, 2105, 3352, 1227, 3935, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1227, 3935, 1352, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1300, 1170, 1865, 1125, 14097, 1766, 1105, 1194, 2330, 30181, 11925, 27433, 1215, 1192, 6220, 1204, 1889, 289, 1154, 1628, 11279, 10709, 9665, 1186, 488, 125, 123, 123, 127, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24368, 1170, 488, 124, 129, 2247, 3935, 5519, 6220, 1204, 1889, 192, 1136, 1810, 9665, 1170, 488, 125, 124, 2749, 488, 125, 123, 123, 127, 1317, 14506, 2290, 1170, 6009, 11398, 1117, 16018, 1313, 1170, 4154, 1227, 1306, 11113, 108, 9719, 1388, 4929, 13700, 2359, 3935, 1299, 5617, 1167, 2513, 1215, 23148, 4876, 7258, 1768, 12669, 1158, 488, 129, 2247, 2320, 1227, 14408, 1125, 14097, 1766, 2114, 1167, 4933, 14399, 3672, 488, 130, 3405, 20585, 1256, 1189, 3983, 1125, 488, 127, 123, 488, 123, 123, 123, 23073, 9516, 6637, 1768, 5016, 2445, 1313, 1318, 9891, 4680, 2806, 1167, 1186, 4561, 5246, 11279, 1352, 109, 6047, 12602, 4023, 2700, 1232, 4273, 176, 138, 9911, 6175, 11835, 1158, 15038, 120, 1117, 1373, 1110, 1913, 13409, 1856, 10395, 10709, 1256, 1318, 9625, 24583, 1256, 1158, 6252, 1125, 1492, 1916, 186, 1149, 1198, 1224, 2960, 1125, 2460, 1439, 1176, 2181, 3450, 11170, 2960, 7670, 1300, 1158, 1417, 18832, 1192, 6220, 1204, 1889, 192, 10103, 10347, 488, 124, 1125, 488, 125, 123, 123, 128, 10803, 15038, 1186, 1235, 3226, 1233, 109, 1299, 1318, 14132, 1227, 3694, 1405, 1210, 289, 1125, 1643, 17498, 17498, 1125, 3871, 3274, 1227, 1306, 11113, 108, 9719, 23447, 17568, 1163, 1165, 1120, 1437, 186, 2114, 9665, 1186, 3935, 1186, 488, 124, 132, 132, 132, 121, 1768, 1299, 21146, 4162, 1186, 23504, 1469, 14765, 1125, 1909, 1279, 120, 13202, 6712, 1192, 1634, 4849, 186, 1459, 1219, 1810, 1158, 5860, 1227, 3274, 1188, 1823, 2377, 1303, 1317, 1306, 108, 155, 9994, 2038, 1197, 8470, 1194, 6198, 1327, 1630, 1430, 1188, 1158, 14022, 3052, 4234, 1468, 1579, 21931, 26363, 8587, 9646, 24565, 1320, 1141, 192, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 123, 124, 1260, 12173, 1204, 3488, 2560, 7224, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 125, 132, 9838, 3488, 2560, 7372, 3584, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 123, 8136, 14440, 161, 1175, 125, 123, 123, 127, 121, 123, 124, 121, 126, 124, 1260, 160, 14866, 1119, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 123, 128, 10225, 4471, 1321, 2275, 1175, 125, 123, 123, 127, 121, 123, 125, 121, 124, 127, 8136, 14440, 161, 4289, 4762, 13727, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 116, 1175, 125, 123, 123, 127, 121, 124, 125, 121, 126, 124, 1718, 28870, 5825, 2105, 3352, 21364, 1227, 3935, 2105, 3352, 21364, 1227, 3935, 1352, 2105, 3352, 1227, 3935, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1227, 3935, 1352, 1300, 25610, 23074, 1668, 1862, 2105, 3352, 1300, 1170, 1865, 1125, 14097, 1766, 1105, 1194, 2330, 30181, 11925, 27433, 1215, 1192, 6220, 1204, 1889, 289, 1154, 1628, 11279, 10709, 9665, 1186, 488, 125, 123, 123, 127, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 11023, 5826, 1109, 19899, 16073, 21785, 1299, 1318, 16402, 15142, 1125, 7634, 2308, 15619, 1357, 1281, 8866, 183, 1370, 2183, 1207, 5305, 4319, 2749, 119, 1188, 2605, 17768, 10914, 119, 1186, 2605, 12945, 14340, 5017, 1481, 1303, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 128, 1167, 1158, 6128, 2768, 1186, 488, 125, 123, 124, 131, 119, 10399, 15640, 1110, 1844, 3247, 1227, 12516, 14610, 1209, 4513, 145, 1125, 7634, 2308, 1353, 1216, 2305, 3450, 1299, 8088, 1303, 1215, 1170, 11023, 1173, 3932, 5006, 16073, 21785, 12825, 30160, 27826, 1813, 1508, 1125, 488, 488, 132, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 123, 116, 2648, 1125, 488, 488, 131, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 124, 124, 1188, 488, 125, 123, 124, 131, 116, 1167, 488, 488, 129, 7275, 3471, 2898, 6001, 116, 1256, 1207, 27790, 1125, 488, 488, 129, 7275, 1256, 1207, 5247, 1167, 1125, 488, 127, 2768, 488, 488, 124, 7275, 1256, 1170, 28291, 27950, 8732, 26361, 12498, 2898, 2102, 10791, 7634, 2102, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 131, 8273, 2898, 6001, 10791, 7634, 6001, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 128, 1388, 12225, 1298, 27950, 29619, 7284, 1227, 28291, 10100, 244, 1215, 1282, 4299, 1120, 1793, 1299, 5598, 2874, 25736, 4408, 4889, 2874, 25736, 11488, 1167, 5474, 5532, 1354, 16718, 1424, 7649, 9229, 31577, 2374, 5826, 1109, 19899, 16073, 21785, 3198, 11619, 4538, 1304, 1495, 5012, 13780, 1188, 2605, 17768, 10914, 32001, 1424, 32000, 20036, 2359, 11023, 5826, 1109, 19899, 16073, 21785, 1299, 1318, 16402, 15142, 1125, 7634, 2308, 15619, 1357, 1281, 8866, 183, 1370, 2183, 1207, 5305, 4319, 2749, 119, 1188, 2605, 17768, 10914, 119, 1186, 2605, 12945, 14340, 5017, 1481, 1303, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 128, 1167, 1158, 6128, 2768, 1186, 488, 125, 123, 124, 131, 119, 10399, 15640, 1110, 1844, 3247, 1227, 12516, 14610, 1209, 4513, 145, 1125, 7634, 2308, 1353, 1216, 2305, 3450, 1299, 8088, 1303, 1215, 1170, 11023, 1173, 3932, 5006, 16073, 21785, 12825, 30160, 27826, 1813, 1508, 1125, 488, 488, 132, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 123, 116, 2648, 1125, 488, 488, 131, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 124, 124, 1188, 488, 125, 123, 124, 131, 116, 1167, 488, 488, 129, 7275, 3471, 2898, 6001, 116, 1256, 1207, 27790, 1125, 488, 488, 129, 7275, 1256, 1207, 5247, 1167, 1125, 488, 127, 2768, 488, 488, 124, 7275, 1256, 1170, 28291, 27950, 8732, 26361, 12498, 2898, 2102, 10791, 7634, 2102, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 131, 8273, 2898, 6001, 10791, 7634, 6001, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 128, 1388, 12225, 1298, 27950, 29619, 7284, 1227, 28291, 10100, 244, 1215, 1282, 4299, 1120, 1793, 1299, 5598, 2874, 25736, 4408, 4889, 2874, 25736, 11488, 1167, 5474, 5532, 1354, 16718, 1424, 7649, 9229, 31577, 2374, 5826, 1109, 19899, 16073, 21785, 3198, 11619, 4538, 1304, 1495, 5012, 13780, 1188, 2605, 17768, 10914, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 11023, 5826, 1109, 19899, 16073, 21785, 1299, 1318, 16402, 15142, 1125, 7634, 2308, 15619, 1357, 1281, 8866, 183, 1370, 2183, 1207, 5305, 4319, 2749, 119, 1188, 2605, 17768, 10914, 119, 1186, 2605, 12945, 14340, 5017, 1481, 1303, 1256, 1158, 3453, 2768, 1186, 488, 125, 123, 123, 128, 1167, 1158, 6128, 2768, 1186, 488, 125, 123, 124, 131, 119, 10399, 15640, 1110, 1844, 3247, 1227, 12516, 14610, 1209, 4513, 145, 1125, 7634, 2308, 1353, 1216, 2305, 3450, 1299, 8088, 1303, 1215, 1170, 11023, 1173, 3932, 5006, 16073, 21785, 12825, 30160, 27826, 1813, 1508, 1125, 488, 488, 132, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 123, 116, 2648, 1125, 488, 488, 131, 7275, 3471, 2898, 2102, 1125, 488, 125, 123, 124, 124, 1188, 488, 125, 123, 124, 131, 116, 1167, 488, 488, 129, 7275, 3471, 2898, 6001, 116, 1256, 1207, 27790, 1125, 488, 488, 129, 7275, 1256, 1207, 5247, 1167, 1125, 488, 127, 2768, 488, 488, 124, 7275, 1256, 1170, 28291, 27950, 8732, 26361, 12498, 2898, 2102, 10791, 7634, 2102, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 131, 8273, 2898, 6001, 10791, 7634, 6001, 1299, 20096, 244, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 124, 128, 1388, 12225, 1298, 27950, 29619, 7284, 1227, 28291, 10100, 244, 1215, 1282, 4299, 1120, 1793, 1299, 5598, 2874, 25736, 4408, 4889, 2874, 25736, 11488, 1167, 5474, 5532, 1354, 16718, 1424, 7649, 9229, 31577, 2374, 5826, 1109, 19899, 16073, 21785, 3198, 11619, 4538, 1304, 1495, 5012, 13780, 1188, 2605, 17768, 10914, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 6586, 488, 125, 123, 123, 129, 1227, 26389, 1125, 4444, 15613, 1125, 7711, 1299, 1158, 488, 124, 129, 2247, 1125, 1158, 3453, 10041, 1622, 2621, 4964, 1188, 8613, 1126, 24749, 1158, 7143, 2461, 5778, 1153, 1333, 1205, 2036, 4511, 1158, 3011, 1125, 1158, 5512, 1134, 3829, 1973, 1125, 27542, 1333, 1220, 1349, 1352, 1199, 172, 1810, 1207, 5582, 2075, 14596, 1125, 21524, 1286, 30703, 1207, 7900, 2714, 1207, 2905, 2069, 2768, 1317, 3285, 1125, 1158, 29692, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 4322, 4587, 3683, 1170, 4755, 1227, 14408, 1299, 6529, 1826, 1603, 6452, 1186, 1671, 22268, 26898, 1108, 8155, 5878, 1125, 1198, 1916, 1371, 4909, 18900, 1170, 3694, 1186, 5503, 1199, 1186, 6425, 119, 1469, 4593, 4153, 13335, 1336, 1300, 1170, 1306, 149, 150, 1306, 1785, 1804, 180, 1167, 10600, 1300, 1306, 18038, 3728, 1347, 1569, 1180, 182, 3266, 1768, 10515, 1227, 488, 132, 2247, 1125, 14045, 1125, 4444, 15613, 1125, 13400, 1227, 5878, 121, 1548, 14045, 1186, 23527, 4736, 155, 172, 488, 127, 130, 1645, 181, 1132, 2268, 1180, 182, 2433, 1288, 20235, 12973, 1158, 488, 131, 2247, 1227, 5971, 2121, 1188, 8826, 9188, 1595, 4153, 1125, 1198, 1916, 1371, 12825, 488, 124, 127, 14596, 10140, 1194, 8039, 244, 4538, 1194, 2809, 14443, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 1194, 199, 2409, 10747, 190, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 27586, 2222, 3051, 15948, 13459, 2072, 7364, 22260, 1424, 26389, 1125, 4444, 15613, 1125, 7711, 7364, 5825, 1424, 488, 8935, 1300, 1170, 1865, 21017, 158, 145, 1194, 2330, 1916, 11249, 1125, 4444, 15613, 1125, 7711, 20345, 15613, 25738, 1186, 4444, 15613, 1186, 488, 125, 123, 123, 129, 32001, 1424, 32000, 20036, 2895, 6586, 488, 125, 123, 123, 129, 1227, 26389, 1125, 4444, 15613, 1125, 7711, 1299, 1158, 488, 124, 129, 2247, 1125, 1158, 3453, 10041, 1622, 2621, 4964, 1188, 8613, 1126, 24749, 1158, 7143, 2461, 5778, 1153, 1333, 1205, 2036, 4511, 1158, 3011, 1125, 1158, 5512, 1134, 3829, 1973, 1125, 27542, 1333, 1220, 1349, 1352, 1199, 172, 1810, 1207, 5582, 2075, 14596, 1125, 21524, 1286, 30703, 1207, 7900, 2714, 1207, 2905, 2069, 2768, 1317, 3285, 1125, 1158, 29692, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 4322, 4587, 3683, 1170, 4755, 1227, 14408, 1299, 6529, 1826, 1603, 6452, 1186, 1671, 22268, 26898, 1108, 8155, 5878, 1125, 1198, 1916, 1371, 4909, 18900, 1170, 3694, 1186, 5503, 1199, 1186, 6425, 119, 1469, 4593, 4153, 13335, 1336, 1300, 1170, 1306, 149, 150, 1306, 1785, 1804, 180, 1167, 10600, 1300, 1306, 18038, 3728, 1347, 1569, 1180, 182, 3266, 1768, 10515, 1227, 488, 132, 2247, 1125, 14045, 1125, 4444, 15613, 1125, 13400, 1227, 5878, 121, 1548, 14045, 1186, 23527, 4736, 155, 172, 488, 127, 130, 1645, 181, 1132, 2268, 1180, 182, 2433, 1288, 20235, 12973, 1158, 488, 131, 2247, 1227, 5971, 2121, 1188, 8826, 9188, 1595, 4153, 1125, 1198, 1916, 1371, 12825, 488, 124, 127, 14596, 10140, 1194, 8039, 244, 4538, 1194, 2809, 14443, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 1194, 199, 2409, 10747, 190, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 27586, 2222, 3051, 15948, 13459, 2072, 7364, 22260, 1424, 26389, 1125, 4444, 15613, 1125, 7711, 7364, 5825, 1424, 488, 8935, 1300, 1170, 1865, 21017, 158, 145, 1194, 2330, 1916, 11249, 1125, 4444, 15613, 1125, 7711, 20345, 15613, 25738, 1186, 4444, 15613, 1186, 488, 125, 123, 123, 129, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 6586, 488, 125, 123, 123, 129, 1227, 26389, 1125, 4444, 15613, 1125, 7711, 1299, 1158, 488, 124, 129, 2247, 1125, 1158, 3453, 10041, 1622, 2621, 4964, 1188, 8613, 1126, 24749, 1158, 7143, 2461, 5778, 1153, 1333, 1205, 2036, 4511, 1158, 3011, 1125, 1158, 5512, 1134, 3829, 1973, 1125, 27542, 1333, 1220, 1349, 1352, 1199, 172, 1810, 1207, 5582, 2075, 14596, 1125, 21524, 1286, 30703, 1207, 7900, 2714, 1207, 2905, 2069, 2768, 1317, 3285, 1125, 1158, 29692, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 4322, 4587, 3683, 1170, 4755, 1227, 14408, 1299, 6529, 1826, 1603, 6452, 1186, 1671, 22268, 26898, 1108, 8155, 5878, 1125, 1198, 1916, 1371, 4909, 18900, 1170, 3694, 1186, 5503, 1199, 1186, 6425, 119, 1469, 4593, 4153, 13335, 1336, 1300, 1170, 1306, 149, 150, 1306, 1785, 1804, 180, 1167, 10600, 1300, 1306, 18038, 3728, 1347, 1569, 1180, 182, 3266, 1768, 10515, 1227, 488, 132, 2247, 1125, 14045, 1125, 4444, 15613, 1125, 13400, 1227, 5878, 121, 1548, 14045, 1186, 23527, 4736, 155, 172, 488, 127, 130, 1645, 181, 1132, 2268, 1180, 182, 2433, 1288, 20235, 12973, 1158, 488, 131, 2247, 1227, 5971, 2121, 1188, 8826, 9188, 1595, 4153, 1125, 1198, 1916, 1371, 12825, 488, 124, 127, 14596, 10140, 1194, 8039, 244, 4538, 1194, 2809, 14443, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 1194, 199, 2409, 10747, 190, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 27586, 2222, 3051, 15948, 13459, 2072, 7364, 22260, 1424, 26389, 1125, 4444, 15613, 1125, 7711, 7364, 5825, 1424, 488, 8935, 1300, 1170, 1865, 21017, 158, 145, 1194, 2330, 1916, 11249, 1125, 4444, 15613, 1125, 7711, 20345, 15613, 25738, 1186, 4444, 15613, 1186, 488, 125, 123, 123, 129, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 151, 3681, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 1366, 1299, 1189, 9221, 15974, 1186, 488, 124, 132, 132, 125, 1215, 1306, 4180, 1167, 5610, 13012, 1127, 1510, 10667, 4716, 1256, 9757, 24858, 1259, 244, 3816, 1162, 1125, 1158, 1204, 1510, 26530, 31567, 10997, 1388, 17696, 1314, 10777, 17322, 1220, 1207, 4092, 488, 124, 132, 131, 123, 119, 2271, 180, 1306, 3906, 1149, 4698, 1510, 1172, 1257, 16086, 1634, 6932, 2460, 1383, 2393, 192, 1506, 1496, 1306, 2547, 12341, 178, 1153, 18885, 11081, 1257, 21740, 1787, 1149, 4622, 3276, 3066, 1496, 1325, 1475, 1204, 13398, 1558, 18885, 11081, 1257, 1325, 1475, 1204, 1475, 1200, 1558, 116, 1167, 25007, 1810, 2183, 3203, 13012, 1313, 1207, 5116, 1837, 1125, 1306, 2562, 179, 7658, 2004, 12479, 18087, 1125, 3080, 1107, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 13831, 3988, 1189, 1921, 3657, 1256, 1207, 1204, 1510, 10667, 1125, 1204, 1510, 26530, 31567, 7097, 7471, 6487, 14429, 1207, 26377, 1125, 21204, 1167, 1125, 29487, 1125, 1204, 1510, 26530, 1459, 10997, 1281, 1508, 3754, 7928, 1167, 1186, 22905, 1306, 2547, 12341, 178, 1153, 1110, 13342, 1282, 15297, 21937, 30171, 1125, 10587, 13820, 185, 1460, 1313, 1158, 15696, 1125, 1209, 16314, 9353, 192, 4880, 1262, 20150, 1158, 8085, 21937, 30171, 3628, 3042, 1309, 1306, 4180, 1110, 13342, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 2271, 180, 1306, 3906, 1149, 1110, 1131, 1670, 1594, 3293, 1167, 1110, 13342, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 1188, 2482, 15671, 1186, 2829, 488, 124, 132, 132, 130, 10177, 4180, 1167, 5610, 2625, 4195, 1127, 1510, 10667, 2487, 4622, 13215, 180, 2004, 9601, 1186, 488, 124, 132, 132, 125, 1170, 13490, 1125, 26900, 12481, 6364, 1125, 1158, 10587, 1204, 1510, 1731, 1357, 2934, 9505, 21258, 244, 7330, 26186, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 1306, 4180, 1186, 1110, 1913, 18640, 4637, 121, 1653, 488, 124, 132, 132, 127, 119, 1170, 3274, 1110, 13551, 1158, 8119, 2335, 21671, 3725, 1158, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 7041, 1186, 488, 124, 132, 132, 128, 119, 1110, 19187, 1318, 3643, 13995, 1357, 13523, 1158, 5601, 11419, 1125, 27542, 15863, 1257, 5207, 114, 2256, 12709, 1188, 1158, 9644, 2651, 1215, 1207, 21586, 1167, 6792, 24188, 1256, 24858, 1259, 244, 3816, 2071, 1158, 9110, 1167, 1158, 21340, 1313, 1158, 1204, 1510, 26530, 1227, 7758, 10686, 2606, 488, 124, 123, 2584, 488, 124, 132, 132, 128, 119, 1158, 4685, 18609, 4180, 2985, 1114, 2120, 28763, 1215, 1158, 5855, 1227, 15350, 1125, 1158, 3789, 5956, 1125, 1158, 1204, 1510, 26530, 13831, 3988, 1357, 2004, 1776, 1120, 4568, 1125, 5087, 6746, 20630, 1188, 27542, 1333, 3655, 2442, 1309, 1207, 15351, 1167, 23967, 1125, 1408, 1125, 488, 124, 123, 123, 19967, 25069, 1469, 11786, 1306, 4180, 3618, 4113, 7258, 1548, 16128, 184, 5485, 1207, 12653, 2004, 15672, 192, 1167, 19885, 244, 1306, 4180, 1300, 1207, 5736, 1125, 27542, 1333, 8602, 1643, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 2934, 17999, 1286, 1186, 488, 124, 132, 132, 128, 119, 1167, 1207, 12653, 17796, 1104, 4222, 1129, 14692, 175, 1229, 1561, 1215, 4292, 30039, 2072, 1424, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 106, 1204, 1510, 26530, 31567, 10997, 106, 1204, 1510, 26530, 120, 1924, 10997, 106, 1204, 1510, 26530, 7984, 7364, 5825, 1424, 8830, 6124, 1226, 1135, 7834, 1161, 1306, 4180, 3615, 184, 179, 1766, 13966, 1718, 2951, 1117, 3657, 1313, 1158, 3734, 23169, 1125, 1204, 1510, 26530, 31567, 10997, 6203, 1117, 3657, 12009, 1119, 10577, 6203, 1117, 3657, 15974, 1186, 488, 124, 132, 132, 125, 114, 32001, 1424, 32000, 20036, 24623, 151, 3681, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 1366, 1299, 1189, 9221, 15974, 1186, 488, 124, 132, 132, 125, 1215, 1306, 4180, 1167, 5610, 13012, 1127, 1510, 10667, 4716, 1256, 9757, 24858, 1259, 244, 3816, 1162, 1125, 1158, 1204, 1510, 26530, 31567, 10997, 1388, 17696, 1314, 10777, 17322, 1220, 1207, 4092, 488, 124, 132, 131, 123, 119, 2271, 180, 1306, 3906, 1149, 4698, 1510, 1172, 1257, 16086, 1634, 6932, 2460, 1383, 2393, 192, 1506, 1496, 1306, 2547, 12341, 178, 1153, 18885, 11081, 1257, 21740, 1787, 1149, 4622, 3276, 3066, 1496, 1325, 1475, 1204, 13398, 1558, 18885, 11081, 1257, 1325, 1475, 1204, 1475, 1200, 1558, 116, 1167, 25007, 1810, 2183, 3203, 13012, 1313, 1207, 5116, 1837, 1125, 1306, 2562, 179, 7658, 2004, 12479, 18087, 1125, 3080, 1107, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 13831, 3988, 1189, 1921, 3657, 1256, 1207, 1204, 1510, 10667, 1125, 1204, 1510, 26530, 31567, 7097, 7471, 6487, 14429, 1207, 26377, 1125, 21204, 1167, 1125, 29487, 1125, 1204, 1510, 26530, 1459, 10997, 1281, 1508, 3754, 7928, 1167, 1186, 22905, 1306, 2547, 12341, 178, 1153, 1110, 13342, 1282, 15297, 21937, 30171, 1125, 10587, 13820, 185, 1460, 1313, 1158, 15696, 1125, 1209, 16314, 9353, 192, 4880, 1262, 20150, 1158, 8085, 21937, 30171, 3628, 3042, 1309, 1306, 4180, 1110, 13342, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 2271, 180, 1306, 3906, 1149, 1110, 1131, 1670, 1594, 3293, 1167, 1110, 13342, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 1188, 2482, 15671, 1186, 2829, 488, 124, 132, 132, 130, 10177, 4180, 1167, 5610, 2625, 4195, 1127, 1510, 10667, 2487, 4622, 13215, 180, 2004, 9601, 1186, 488, 124, 132, 132, 125, 1170, 13490, 1125, 26900, 12481, 6364, 1125, 1158, 10587, 1204, 1510, 1731, 1357, 2934, 9505, 21258, 244, 7330, 26186, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 1306, 4180, 1186, 1110, 1913, 18640, 4637, 121, 1653, 488, 124, 132, 132, 127, 119, 1170, 3274, 1110, 13551, 1158, 8119, 2335, 21671, 3725, 1158, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 7041, 1186, 488, 124, 132, 132, 128, 119, 1110, 19187, 1318, 3643, 13995, 1357, 13523, 1158, 5601, 11419, 1125, 27542, 15863, 1257, 5207, 114, 2256, 12709, 1188, 1158, 9644, 2651, 1215, 1207, 21586, 1167, 6792, 24188, 1256, 24858, 1259, 244, 3816, 2071, 1158, 9110, 1167, 1158, 21340, 1313, 1158, 1204, 1510, 26530, 1227, 7758, 10686, 2606, 488, 124, 123, 2584, 488, 124, 132, 132, 128, 119, 1158, 4685, 18609, 4180, 2985, 1114, 2120, 28763, 1215, 1158, 5855, 1227, 15350, 1125, 1158, 3789, 5956, 1125, 1158, 1204, 1510, 26530, 13831, 3988, 1357, 2004, 1776, 1120, 4568, 1125, 5087, 6746, 20630, 1188, 27542, 1333, 3655, 2442, 1309, 1207, 15351, 1167, 23967, 1125, 1408, 1125, 488, 124, 123, 123, 19967, 25069, 1469, 11786, 1306, 4180, 3618, 4113, 7258, 1548, 16128, 184, 5485, 1207, 12653, 2004, 15672, 192, 1167, 19885, 244, 1306, 4180, 1300, 1207, 5736, 1125, 27542, 1333, 8602, 1643, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 2934, 17999, 1286, 1186, 488, 124, 132, 132, 128, 119, 1167, 1207, 12653, 17796, 1104, 4222, 1129, 14692, 175, 1229, 1561, 1215, 4292, 30039, 2072, 1424, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 106, 1204, 1510, 26530, 31567, 10997, 106, 1204, 1510, 26530, 120, 1924, 10997, 106, 1204, 1510, 26530, 7984, 7364, 5825, 1424, 8830, 6124, 1226, 1135, 7834, 1161, 1306, 4180, 3615, 184, 179, 1766, 13966, 1718, 2951, 1117, 3657, 1313, 1158, 3734, 23169, 1125, 1204, 1510, 26530, 31567, 10997, 6203, 1117, 3657, 12009, 1119, 10577, 6203, 1117, 3657, 15974, 1186, 488, 124, 132, 132, 125, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 151, 3681, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 1366, 1299, 1189, 9221, 15974, 1186, 488, 124, 132, 132, 125, 1215, 1306, 4180, 1167, 5610, 13012, 1127, 1510, 10667, 4716, 1256, 9757, 24858, 1259, 244, 3816, 1162, 1125, 1158, 1204, 1510, 26530, 31567, 10997, 1388, 17696, 1314, 10777, 17322, 1220, 1207, 4092, 488, 124, 132, 131, 123, 119, 2271, 180, 1306, 3906, 1149, 4698, 1510, 1172, 1257, 16086, 1634, 6932, 2460, 1383, 2393, 192, 1506, 1496, 1306, 2547, 12341, 178, 1153, 18885, 11081, 1257, 21740, 1787, 1149, 4622, 3276, 3066, 1496, 1325, 1475, 1204, 13398, 1558, 18885, 11081, 1257, 1325, 1475, 1204, 1475, 1200, 1558, 116, 1167, 25007, 1810, 2183, 3203, 13012, 1313, 1207, 5116, 1837, 1125, 1306, 2562, 179, 7658, 2004, 12479, 18087, 1125, 3080, 1107, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 13831, 3988, 1189, 1921, 3657, 1256, 1207, 1204, 1510, 10667, 1125, 1204, 1510, 26530, 31567, 7097, 7471, 6487, 14429, 1207, 26377, 1125, 21204, 1167, 1125, 29487, 1125, 1204, 1510, 26530, 1459, 10997, 1281, 1508, 3754, 7928, 1167, 1186, 22905, 1306, 2547, 12341, 178, 1153, 1110, 13342, 1282, 15297, 21937, 30171, 1125, 10587, 13820, 185, 1460, 1313, 1158, 15696, 1125, 1209, 16314, 9353, 192, 4880, 1262, 20150, 1158, 8085, 21937, 30171, 3628, 3042, 1309, 1306, 4180, 1110, 13342, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 2271, 180, 1306, 3906, 1149, 1110, 1131, 1670, 1594, 3293, 1167, 1110, 13342, 1170, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 1188, 2482, 15671, 1186, 2829, 488, 124, 132, 132, 130, 10177, 4180, 1167, 5610, 2625, 4195, 1127, 1510, 10667, 2487, 4622, 13215, 180, 2004, 9601, 1186, 488, 124, 132, 132, 125, 1170, 13490, 1125, 26900, 12481, 6364, 1125, 1158, 10587, 1204, 1510, 1731, 1357, 2934, 9505, 21258, 244, 7330, 26186, 27542, 15863, 23645, 1125, 1204, 1510, 26530, 1127, 1550, 175, 1231, 5907, 1306, 4180, 1186, 1110, 1913, 18640, 4637, 121, 1653, 488, 124, 132, 132, 127, 119, 1170, 3274, 1110, 13551, 1158, 8119, 2335, 21671, 3725, 1158, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 7041, 1186, 488, 124, 132, 132, 128, 119, 1110, 19187, 1318, 3643, 13995, 1357, 13523, 1158, 5601, 11419, 1125, 27542, 15863, 1257, 5207, 114, 2256, 12709, 1188, 1158, 9644, 2651, 1215, 1207, 21586, 1167, 6792, 24188, 1256, 24858, 1259, 244, 3816, 2071, 1158, 9110, 1167, 1158, 21340, 1313, 1158, 1204, 1510, 26530, 1227, 7758, 10686, 2606, 488, 124, 123, 2584, 488, 124, 132, 132, 128, 119, 1158, 4685, 18609, 4180, 2985, 1114, 2120, 28763, 1215, 1158, 5855, 1227, 15350, 1125, 1158, 3789, 5956, 1125, 1158, 1204, 1510, 26530, 13831, 3988, 1357, 2004, 1776, 1120, 4568, 1125, 5087, 6746, 20630, 1188, 27542, 1333, 3655, 2442, 1309, 1207, 15351, 1167, 23967, 1125, 1408, 1125, 488, 124, 123, 123, 19967, 25069, 1469, 11786, 1306, 4180, 3618, 4113, 7258, 1548, 16128, 184, 5485, 1207, 12653, 2004, 15672, 192, 1167, 19885, 244, 1306, 4180, 1300, 1207, 5736, 1125, 27542, 1333, 8602, 1643, 1352, 3420, 1125, 1158, 1204, 1510, 26530, 1227, 30469, 2934, 17999, 1286, 1186, 488, 124, 132, 132, 128, 119, 1167, 1207, 12653, 17796, 1104, 4222, 1129, 14692, 175, 1229, 1561, 1215, 4292, 30039, 2072, 1424, 15211, 1227, 11594, 1125, 1204, 1510, 26530, 21172, 106, 1204, 1510, 26530, 31567, 10997, 106, 1204, 1510, 26530, 120, 1924, 10997, 106, 1204, 1510, 26530, 7984, 7364, 5825, 1424, 8830, 6124, 1226, 1135, 7834, 1161, 1306, 4180, 3615, 184, 179, 1766, 13966, 1718, 2951, 1117, 3657, 1313, 1158, 3734, 23169, 1125, 1204, 1510, 26530, 31567, 10997, 6203, 1117, 3657, 12009, 1119, 10577, 6203, 1117, 3657, 15974, 1186, 488, 124, 132, 132, 125, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 143, 1124, 248, 186, 24058, 4782, 1405, 1164, 1897, 3835, 1132, 4691, 236, 119, 2722, 1490, 248, 2086, 2921, 488, 124, 132, 126, 131, 1323, 1233, 1307, 1190, 1810, 2798, 488, 125, 123, 124, 123, 116, 3031, 1189, 15644, 5485, 6066, 4819, 13787, 8324, 1356, 1286, 1167, 4208, 12397, 1188, 21455, 5277, 1125, 17304, 1214, 134, 1110, 8217, 1189, 11622, 1128, 1125, 21455, 5277, 1469, 1170, 3694, 1125, 13822, 14231, 12662, 3049, 3123, 4092, 6538, 1299, 5252, 1188, 5863, 4691, 236, 119, 2722, 1490, 248, 2086, 17304, 4654, 1768, 1110, 6403, 244, 1170, 21305, 1207, 11733, 8443, 1323, 3285, 1125, 16956, 1323, 1188, 21455, 5277, 1125, 17304, 1214, 8370, 488, 124, 132, 129, 123, 119, 1527, 13300, 1469, 5610, 10417, 6646, 1167, 7026, 1600, 3622, 15982, 2487, 7071, 1142, 186, 9339, 1312, 1248, 10027, 8167, 1167, 20008, 3276, 1117, 1356, 3416, 1125, 1202, 4454, 1810, 1188, 1158, 28453, 1125, 1158, 3453, 25163, 1125, 4911, 4058, 5519, 18337, 4123, 3603, 1188, 21455, 5277, 1125, 17304, 1214, 25886, 4096, 6049, 10903, 1194, 5164, 1110, 20888, 1317, 1518, 1172, 1728, 1134, 3282, 1125, 8483, 9586, 1469, 1170, 13787, 1321, 10713, 8408, 1306, 1219, 2719, 4277, 1188, 21455, 18651, 1783, 24917, 178, 1475, 3686, 26811, 1125, 6433, 5030, 119, 7732, 10328, 11038, 5519, 16260, 1186, 488, 124, 132, 131, 126, 120, 124, 132, 131, 127, 1388, 5449, 6160, 12277, 1125, 1158, 20548, 1125, 1158, 2492, 6321, 1167, 1227, 21305, 1527, 1110, 30594, 7798, 1197, 25493, 1690, 1167, 1197, 26915, 1300, 1197, 4502, 8938, 6087, 24515, 1167, 7254, 12041, 14043, 1793, 1167, 8328, 1227, 12574, 3346, 1286, 4741, 2487, 1527, 1110, 8325, 1348, 488, 125, 132, 5632, 1297, 1548, 12574, 2595, 1370, 1197, 26520, 1227, 8605, 29259, 6427, 27477, 7219, 1108, 3589, 143, 1136, 236, 6037, 1170, 1747, 6160, 12277, 1209, 193, 13096, 1173, 1815, 119, 1170, 13787, 26189, 1233, 1706, 1384, 119, 28047, 13096, 2602, 7743, 17561, 3382, 9491, 2590, 2086, 12681, 260, 190, 6293, 27060, 4173, 1620, 2086, 1835, 2905, 13588, 1125, 2674, 1137, 1186, 23777, 4123, 1314, 1167, 1313, 1170, 2854, 12258, 1110, 2445, 1913, 20840, 1167, 8328, 1227, 12574, 8413, 4854, 4608, 119, 1469, 488, 126, 9891, 1297, 1768, 1110, 9053, 1408, 1125, 488, 124, 128, 9337, 1167, 1125, 5087, 26520, 1300, 1207, 8744, 1125, 1561, 4309, 1348, 14023, 1414, 1793, 1167, 6711, 1227, 5809, 20130, 1125, 1282, 15297, 1600, 3622, 3556, 1125, 20727, 1227, 3090, 1167, 1125, 20727, 2129, 5907, 2236, 2300, 1535, 1374, 2391, 1125, 25493, 1690, 16398, 1167, 8938, 2097, 1313, 1207, 14590, 5116, 1837, 1125, 17304, 1214, 1167, 5695, 5519, 18337, 4123, 1314, 23460, 1123, 10224, 17488, 184, 1460, 1194, 216, 1158, 1622, 1125, 1561, 12835, 1527, 15574, 1189, 2929, 8938, 1460, 5379, 3365, 16240, 1170, 19063, 10224, 17488, 184, 3725, 1357, 6072, 1188, 13508, 1170, 2854, 2757, 6389, 18337, 4123, 4994, 1548, 5562, 10224, 24503, 1460, 9824, 1158, 2492, 1856, 1189, 6789, 1111, 2590, 10987, 4930, 133, 1158, 2492, 24503, 3725, 1158, 2492, 25670, 1167, 1158, 2492, 5690, 1180, 1642, 5907, 8711, 18449, 7478, 6369, 1170, 6789, 1125, 2492, 1167, 1561, 21029, 1313, 1158, 5854, 19533, 1167, 6321, 7552, 2136, 1189, 4764, 18041, 1460, 4610, 1167, 1189, 22737, 1197, 7945, 1191, 12586, 1125, 1158, 18084, 1527, 1281, 7705, 1178, 1215, 1318, 20438, 8608, 1366, 1357, 14681, 1188, 10493, 4975, 1207, 28178, 16891, 1188, 31709, 1125, 1158, 3020, 1167, 2063, 1134, 2202, 1189, 4792, 2923, 9612, 15974, 1300, 1158, 1809, 185, 1861, 1167, 2081, 1300, 1282, 12957, 2248, 16499, 1186, 5401, 1571, 19791, 1125, 4428, 6632, 2923, 1125, 8991, 2133, 1468, 178, 2104, 1167, 1125, 9436, 1252, 12874, 2198, 1388, 282, 19760, 12891, 4505, 2608, 9337, 1125, 14215, 248, 186, 24058, 4782, 1508, 8623, 10026, 5888, 8968, 19529, 5277, 1125, 17304, 18514, 19063, 10224, 106, 1405, 5847, 1214, 15948, 7364, 5825, 1194, 5449, 27560, 31797, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 2895, 20727, 1125, 2492, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1257, 29636, 1167, 23166, 13769, 5194, 4051, 11876, 1300, 1170, 5562, 10224, 24503, 1460, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1175, 125, 123, 124, 123, 1718, 224, 24116, 1125, 15714, 5277, 1125, 17304, 1214, 27914, 9892, 1188, 15714, 5277, 1125, 17304, 1214, 5526, 31958, 1262, 1600, 3622, 1354, 10701, 6160, 12277, 1600, 3622, 1354, 8156, 1186, 2921, 488, 124, 132, 126, 131, 9317, 1186, 2798, 488, 125, 123, 124, 123, 9317, 1188, 1233, 1307, 9494, 9317, 1188, 488, 130, 124, 2165, 114, 32001, 1424, 32000, 20036, 24623, 143, 1124, 248, 186, 24058, 4782, 1405, 1164, 1897, 3835, 1132, 4691, 236, 119, 2722, 1490, 248, 2086, 2921, 488, 124, 132, 126, 131, 1323, 1233, 1307, 1190, 1810, 2798, 488, 125, 123, 124, 123, 116, 3031, 1189, 15644, 5485, 6066, 4819, 13787, 8324, 1356, 1286, 1167, 4208, 12397, 1188, 21455, 5277, 1125, 17304, 1214, 134, 1110, 8217, 1189, 11622, 1128, 1125, 21455, 5277, 1469, 1170, 3694, 1125, 13822, 14231, 12662, 3049, 3123, 4092, 6538, 1299, 5252, 1188, 5863, 4691, 236, 119, 2722, 1490, 248, 2086, 17304, 4654, 1768, 1110, 6403, 244, 1170, 21305, 1207, 11733, 8443, 1323, 3285, 1125, 16956, 1323, 1188, 21455, 5277, 1125, 17304, 1214, 8370, 488, 124, 132, 129, 123, 119, 1527, 13300, 1469, 5610, 10417, 6646, 1167, 7026, 1600, 3622, 15982, 2487, 7071, 1142, 186, 9339, 1312, 1248, 10027, 8167, 1167, 20008, 3276, 1117, 1356, 3416, 1125, 1202, 4454, 1810, 1188, 1158, 28453, 1125, 1158, 3453, 25163, 1125, 4911, 4058, 5519, 18337, 4123, 3603, 1188, 21455, 5277, 1125, 17304, 1214, 25886, 4096, 6049, 10903, 1194, 5164, 1110, 20888, 1317, 1518, 1172, 1728, 1134, 3282, 1125, 8483, 9586, 1469, 1170, 13787, 1321, 10713, 8408, 1306, 1219, 2719, 4277, 1188, 21455, 18651, 1783, 24917, 178, 1475, 3686, 26811, 1125, 6433, 5030, 119, 7732, 10328, 11038, 5519, 16260, 1186, 488, 124, 132, 131, 126, 120, 124, 132, 131, 127, 1388, 5449, 6160, 12277, 1125, 1158, 20548, 1125, 1158, 2492, 6321, 1167, 1227, 21305, 1527, 1110, 30594, 7798, 1197, 25493, 1690, 1167, 1197, 26915, 1300, 1197, 4502, 8938, 6087, 24515, 1167, 7254, 12041, 14043, 1793, 1167, 8328, 1227, 12574, 3346, 1286, 4741, 2487, 1527, 1110, 8325, 1348, 488, 125, 132, 5632, 1297, 1548, 12574, 2595, 1370, 1197, 26520, 1227, 8605, 29259, 6427, 27477, 7219, 1108, 3589, 143, 1136, 236, 6037, 1170, 1747, 6160, 12277, 1209, 193, 13096, 1173, 1815, 119, 1170, 13787, 26189, 1233, 1706, 1384, 119, 28047, 13096, 2602, 7743, 17561, 3382, 9491, 2590, 2086, 12681, 260, 190, 6293, 27060, 4173, 1620, 2086, 1835, 2905, 13588, 1125, 2674, 1137, 1186, 23777, 4123, 1314, 1167, 1313, 1170, 2854, 12258, 1110, 2445, 1913, 20840, 1167, 8328, 1227, 12574, 8413, 4854, 4608, 119, 1469, 488, 126, 9891, 1297, 1768, 1110, 9053, 1408, 1125, 488, 124, 128, 9337, 1167, 1125, 5087, 26520, 1300, 1207, 8744, 1125, 1561, 4309, 1348, 14023, 1414, 1793, 1167, 6711, 1227, 5809, 20130, 1125, 1282, 15297, 1600, 3622, 3556, 1125, 20727, 1227, 3090, 1167, 1125, 20727, 2129, 5907, 2236, 2300, 1535, 1374, 2391, 1125, 25493, 1690, 16398, 1167, 8938, 2097, 1313, 1207, 14590, 5116, 1837, 1125, 17304, 1214, 1167, 5695, 5519, 18337, 4123, 1314, 23460, 1123, 10224, 17488, 184, 1460, 1194, 216, 1158, 1622, 1125, 1561, 12835, 1527, 15574, 1189, 2929, 8938, 1460, 5379, 3365, 16240, 1170, 19063, 10224, 17488, 184, 3725, 1357, 6072, 1188, 13508, 1170, 2854, 2757, 6389, 18337, 4123, 4994, 1548, 5562, 10224, 24503, 1460, 9824, 1158, 2492, 1856, 1189, 6789, 1111, 2590, 10987, 4930, 133, 1158, 2492, 24503, 3725, 1158, 2492, 25670, 1167, 1158, 2492, 5690, 1180, 1642, 5907, 8711, 18449, 7478, 6369, 1170, 6789, 1125, 2492, 1167, 1561, 21029, 1313, 1158, 5854, 19533, 1167, 6321, 7552, 2136, 1189, 4764, 18041, 1460, 4610, 1167, 1189, 22737, 1197, 7945, 1191, 12586, 1125, 1158, 18084, 1527, 1281, 7705, 1178, 1215, 1318, 20438, 8608, 1366, 1357, 14681, 1188, 10493, 4975, 1207, 28178, 16891, 1188, 31709, 1125, 1158, 3020, 1167, 2063, 1134, 2202, 1189, 4792, 2923, 9612, 15974, 1300, 1158, 1809, 185, 1861, 1167, 2081, 1300, 1282, 12957, 2248, 16499, 1186, 5401, 1571, 19791, 1125, 4428, 6632, 2923, 1125, 8991, 2133, 1468, 178, 2104, 1167, 1125, 9436, 1252, 12874, 2198, 1388, 282, 19760, 12891, 4505, 2608, 9337, 1125, 14215, 248, 186, 24058, 4782, 1508, 8623, 10026, 5888, 8968, 19529, 5277, 1125, 17304, 18514, 19063, 10224, 106, 1405, 5847, 1214, 15948, 7364, 5825, 1194, 5449, 27560, 31797, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 2895, 20727, 1125, 2492, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1257, 29636, 1167, 23166, 13769, 5194, 4051, 11876, 1300, 1170, 5562, 10224, 24503, 1460, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1175, 125, 123, 124, 123, 1718, 224, 24116, 1125, 15714, 5277, 1125, 17304, 1214, 27914, 9892, 1188, 15714, 5277, 1125, 17304, 1214, 5526, 31958, 1262, 1600, 3622, 1354, 10701, 6160, 12277, 1600, 3622, 1354, 8156, 1186, 2921, 488, 124, 132, 126, 131, 9317, 1186, 2798, 488, 125, 123, 124, 123, 9317, 1188, 1233, 1307, 9494, 9317, 1188, 488, 130, 124, 2165, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 143, 1124, 248, 186, 24058, 4782, 1405, 1164, 1897, 3835, 1132, 4691, 236, 119, 2722, 1490, 248, 2086, 2921, 488, 124, 132, 126, 131, 1323, 1233, 1307, 1190, 1810, 2798, 488, 125, 123, 124, 123, 116, 3031, 1189, 15644, 5485, 6066, 4819, 13787, 8324, 1356, 1286, 1167, 4208, 12397, 1188, 21455, 5277, 1125, 17304, 1214, 134, 1110, 8217, 1189, 11622, 1128, 1125, 21455, 5277, 1469, 1170, 3694, 1125, 13822, 14231, 12662, 3049, 3123, 4092, 6538, 1299, 5252, 1188, 5863, 4691, 236, 119, 2722, 1490, 248, 2086, 17304, 4654, 1768, 1110, 6403, 244, 1170, 21305, 1207, 11733, 8443, 1323, 3285, 1125, 16956, 1323, 1188, 21455, 5277, 1125, 17304, 1214, 8370, 488, 124, 132, 129, 123, 119, 1527, 13300, 1469, 5610, 10417, 6646, 1167, 7026, 1600, 3622, 15982, 2487, 7071, 1142, 186, 9339, 1312, 1248, 10027, 8167, 1167, 20008, 3276, 1117, 1356, 3416, 1125, 1202, 4454, 1810, 1188, 1158, 28453, 1125, 1158, 3453, 25163, 1125, 4911, 4058, 5519, 18337, 4123, 3603, 1188, 21455, 5277, 1125, 17304, 1214, 25886, 4096, 6049, 10903, 1194, 5164, 1110, 20888, 1317, 1518, 1172, 1728, 1134, 3282, 1125, 8483, 9586, 1469, 1170, 13787, 1321, 10713, 8408, 1306, 1219, 2719, 4277, 1188, 21455, 18651, 1783, 24917, 178, 1475, 3686, 26811, 1125, 6433, 5030, 119, 7732, 10328, 11038, 5519, 16260, 1186, 488, 124, 132, 131, 126, 120, 124, 132, 131, 127, 1388, 5449, 6160, 12277, 1125, 1158, 20548, 1125, 1158, 2492, 6321, 1167, 1227, 21305, 1527, 1110, 30594, 7798, 1197, 25493, 1690, 1167, 1197, 26915, 1300, 1197, 4502, 8938, 6087, 24515, 1167, 7254, 12041, 14043, 1793, 1167, 8328, 1227, 12574, 3346, 1286, 4741, 2487, 1527, 1110, 8325, 1348, 488, 125, 132, 5632, 1297, 1548, 12574, 2595, 1370, 1197, 26520, 1227, 8605, 29259, 6427, 27477, 7219, 1108, 3589, 143, 1136, 236, 6037, 1170, 1747, 6160, 12277, 1209, 193, 13096, 1173, 1815, 119, 1170, 13787, 26189, 1233, 1706, 1384, 119, 28047, 13096, 2602, 7743, 17561, 3382, 9491, 2590, 2086, 12681, 260, 190, 6293, 27060, 4173, 1620, 2086, 1835, 2905, 13588, 1125, 2674, 1137, 1186, 23777, 4123, 1314, 1167, 1313, 1170, 2854, 12258, 1110, 2445, 1913, 20840, 1167, 8328, 1227, 12574, 8413, 4854, 4608, 119, 1469, 488, 126, 9891, 1297, 1768, 1110, 9053, 1408, 1125, 488, 124, 128, 9337, 1167, 1125, 5087, 26520, 1300, 1207, 8744, 1125, 1561, 4309, 1348, 14023, 1414, 1793, 1167, 6711, 1227, 5809, 20130, 1125, 1282, 15297, 1600, 3622, 3556, 1125, 20727, 1227, 3090, 1167, 1125, 20727, 2129, 5907, 2236, 2300, 1535, 1374, 2391, 1125, 25493, 1690, 16398, 1167, 8938, 2097, 1313, 1207, 14590, 5116, 1837, 1125, 17304, 1214, 1167, 5695, 5519, 18337, 4123, 1314, 23460, 1123, 10224, 17488, 184, 1460, 1194, 216, 1158, 1622, 1125, 1561, 12835, 1527, 15574, 1189, 2929, 8938, 1460, 5379, 3365, 16240, 1170, 19063, 10224, 17488, 184, 3725, 1357, 6072, 1188, 13508, 1170, 2854, 2757, 6389, 18337, 4123, 4994, 1548, 5562, 10224, 24503, 1460, 9824, 1158, 2492, 1856, 1189, 6789, 1111, 2590, 10987, 4930, 133, 1158, 2492, 24503, 3725, 1158, 2492, 25670, 1167, 1158, 2492, 5690, 1180, 1642, 5907, 8711, 18449, 7478, 6369, 1170, 6789, 1125, 2492, 1167, 1561, 21029, 1313, 1158, 5854, 19533, 1167, 6321, 7552, 2136, 1189, 4764, 18041, 1460, 4610, 1167, 1189, 22737, 1197, 7945, 1191, 12586, 1125, 1158, 18084, 1527, 1281, 7705, 1178, 1215, 1318, 20438, 8608, 1366, 1357, 14681, 1188, 10493, 4975, 1207, 28178, 16891, 1188, 31709, 1125, 1158, 3020, 1167, 2063, 1134, 2202, 1189, 4792, 2923, 9612, 15974, 1300, 1158, 1809, 185, 1861, 1167, 2081, 1300, 1282, 12957, 2248, 16499, 1186, 5401, 1571, 19791, 1125, 4428, 6632, 2923, 1125, 8991, 2133, 1468, 178, 2104, 1167, 1125, 9436, 1252, 12874, 2198, 1388, 282, 19760, 12891, 4505, 2608, 9337, 1125, 14215, 248, 186, 24058, 4782, 1508, 8623, 10026, 5888, 8968, 19529, 5277, 1125, 17304, 18514, 19063, 10224, 106, 1405, 5847, 1214, 15948, 7364, 5825, 1194, 5449, 27560, 31797, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 2895, 20727, 1125, 2492, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1257, 29636, 1167, 23166, 13769, 5194, 4051, 11876, 1300, 1170, 5562, 10224, 24503, 1460, 1125, 14215, 248, 186, 24058, 4782, 1405, 1164, 1897, 1175, 125, 123, 124, 123, 1718, 224, 24116, 1125, 15714, 5277, 1125, 17304, 1214, 27914, 9892, 1188, 15714, 5277, 1125, 17304, 1214, 5526, 31958, 1262, 1600, 3622, 1354, 10701, 6160, 12277, 1600, 3622, 1354, 8156, 1186, 2921, 488, 124, 132, 126, 131, 9317, 1186, 2798, 488, 125, 123, 124, 123, 9317, 1188, 1233, 1307, 9494, 9317, 1188, 488, 130, 124, 2165, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 22066, 147, 4889, 1125, 13366, 16647, 17298, 3318, 1446, 13366, 16647, 116, 1299, 1189, 3418, 26859, 3589, 179, 1510, 182, 1510, 1298, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 9665, 1186, 488, 124, 132, 130, 128, 7745, 31751, 1194, 2029, 1131, 1380, 1299, 15367, 1186, 6801, 1214, 1256, 26308, 1189, 5939, 1659, 1723, 9346, 1299, 1522, 1128, 1585, 1215, 1189, 29588, 1250, 18596, 192, 14023, 3352, 4403, 27944, 1257, 2576, 147, 4889, 1125, 13366, 16647, 27944, 5379, 1257, 1410, 3318, 1446, 13366, 16647, 5968, 4521, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 31276, 1325, 1475, 1671, 192, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 1260, 4968, 1538, 5844, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 25212, 1460, 1257, 3550, 1140, 2722, 1109, 5930, 25624, 4134, 1257, 31030, 13436, 175, 23643, 1272, 1257, 18324, 20530, 1167, 10948, 4046, 3513, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 12125, 6989, 16051, 1257, 1539, 1354, 2460, 1255, 1167, 6480, 1165, 9940, 5383, 3409, 1257, 24857, 1539, 1246, 1167, 4172, 1772, 22446, 24738, 1125, 4052, 1257, 20851, 5922, 193, 7965, 1410, 25588, 10817, 1202, 24129, 15853, 2242, 1775, 14994, 1257, 6801, 1214, 1167, 13366, 16647, 2911, 1108, 1112, 1257, 1222, 3599, 119, 25110, 7334, 1374, 18770, 1257, 488, 124, 123, 129, 4826, 1763, 2026, 1125, 8969, 2232, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 13776, 10995, 1194, 149, 1195, 3818, 1325, 1475, 1671, 192, 9116, 145, 1257, 13949, 11089, 1128, 116, 1257, 31322, 1836, 29465, 12109, 1761, 1252, 1475, 9103, 1200, 1896, 2911, 176, 6399, 1643, 7641, 3176, 1257, 8128, 16860, 2333, 3050, 12527, 8353, 1775, 3551, 7490, 1245, 1257, 1714, 17512, 29465, 12109, 1761, 7219, 2348, 30045, 1206, 1750, 1307, 1107, 1325, 1379, 1257, 31322, 1836, 29465, 12109, 1761, 9399, 20800, 5061, 12910, 8486, 1293, 9078, 1257, 9467, 5245, 1750, 1180, 1132, 1490, 14762, 8761, 1257, 24359, 1545, 13193, 106, 133, 4172, 26430, 4279, 16213, 2268, 1545, 12826, 1257, 5262, 1379, 1628, 1174, 4234, 29081, 1257, 17619, 1539, 1119, 1763, 1884, 1784, 24530, 1104, 1257, 26632, 14720, 1170, 9159, 12412, 21466, 5245, 2056, 1292, 17416, 1213, 1257, 27898, 1105, 2586, 183, 2100, 1325, 1510, 1257, 4020, 180, 1200, 10009, 133, 8179, 9323, 1167, 16828, 5825, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 130, 128, 15089, 26859, 1354, 9665, 1186, 488, 124, 132, 130, 128, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 26859, 1354, 15089, 26738, 1166, 1510, 182, 1510, 1298, 15089, 26738, 26859, 1354, 15089, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 15089, 8922, 1215, 31276, 1325, 1475, 1671, 192, 32001, 1424, 32000, 20036, 6725, 147, 4889, 1125, 13366, 16647, 17298, 3318, 1446, 13366, 16647, 116, 1299, 1189, 3418, 26859, 3589, 179, 1510, 182, 1510, 1298, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 9665, 1186, 488, 124, 132, 130, 128, 7745, 31751, 1194, 2029, 1131, 1380, 1299, 15367, 1186, 6801, 1214, 1256, 26308, 1189, 5939, 1659, 1723, 9346, 1299, 1522, 1128, 1585, 1215, 1189, 29588, 1250, 18596, 192, 14023, 3352, 4403, 27944, 1257, 2576, 147, 4889, 1125, 13366, 16647, 27944, 5379, 1257, 1410, 3318, 1446, 13366, 16647, 5968, 4521, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 31276, 1325, 1475, 1671, 192, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 1260, 4968, 1538, 5844, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 25212, 1460, 1257, 3550, 1140, 2722, 1109, 5930, 25624, 4134, 1257, 31030, 13436, 175, 23643, 1272, 1257, 18324, 20530, 1167, 10948, 4046, 3513, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 12125, 6989, 16051, 1257, 1539, 1354, 2460, 1255, 1167, 6480, 1165, 9940, 5383, 3409, 1257, 24857, 1539, 1246, 1167, 4172, 1772, 22446, 24738, 1125, 4052, 1257, 20851, 5922, 193, 7965, 1410, 25588, 10817, 1202, 24129, 15853, 2242, 1775, 14994, 1257, 6801, 1214, 1167, 13366, 16647, 2911, 1108, 1112, 1257, 1222, 3599, 119, 25110, 7334, 1374, 18770, 1257, 488, 124, 123, 129, 4826, 1763, 2026, 1125, 8969, 2232, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 13776, 10995, 1194, 149, 1195, 3818, 1325, 1475, 1671, 192, 9116, 145, 1257, 13949, 11089, 1128, 116, 1257, 31322, 1836, 29465, 12109, 1761, 1252, 1475, 9103, 1200, 1896, 2911, 176, 6399, 1643, 7641, 3176, 1257, 8128, 16860, 2333, 3050, 12527, 8353, 1775, 3551, 7490, 1245, 1257, 1714, 17512, 29465, 12109, 1761, 7219, 2348, 30045, 1206, 1750, 1307, 1107, 1325, 1379, 1257, 31322, 1836, 29465, 12109, 1761, 9399, 20800, 5061, 12910, 8486, 1293, 9078, 1257, 9467, 5245, 1750, 1180, 1132, 1490, 14762, 8761, 1257, 24359, 1545, 13193, 106, 133, 4172, 26430, 4279, 16213, 2268, 1545, 12826, 1257, 5262, 1379, 1628, 1174, 4234, 29081, 1257, 17619, 1539, 1119, 1763, 1884, 1784, 24530, 1104, 1257, 26632, 14720, 1170, 9159, 12412, 21466, 5245, 2056, 1292, 17416, 1213, 1257, 27898, 1105, 2586, 183, 2100, 1325, 1510, 1257, 4020, 180, 1200, 10009, 133, 8179, 9323, 1167, 16828, 5825, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 130, 128, 15089, 26859, 1354, 9665, 1186, 488, 124, 132, 130, 128, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 26859, 1354, 15089, 26738, 1166, 1510, 182, 1510, 1298, 15089, 26738, 26859, 1354, 15089, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 15089, 8922, 1215, 31276, 1325, 1475, 1671, 192, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6725, 147, 4889, 1125, 13366, 16647, 17298, 3318, 1446, 13366, 16647, 116, 1299, 1189, 3418, 26859, 3589, 179, 1510, 182, 1510, 1298, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 9665, 1186, 488, 124, 132, 130, 128, 7745, 31751, 1194, 2029, 1131, 1380, 1299, 15367, 1186, 6801, 1214, 1256, 26308, 1189, 5939, 1659, 1723, 9346, 1299, 1522, 1128, 1585, 1215, 1189, 29588, 1250, 18596, 192, 14023, 3352, 4403, 27944, 1257, 2576, 147, 4889, 1125, 13366, 16647, 27944, 5379, 1257, 1410, 3318, 1446, 13366, 16647, 5968, 4521, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 1167, 31276, 1325, 1475, 1671, 192, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 1260, 4968, 1538, 5844, 1257, 21541, 2168, 4928, 1379, 3441, 30017, 25212, 1460, 1257, 3550, 1140, 2722, 1109, 5930, 25624, 4134, 1257, 31030, 13436, 175, 23643, 1272, 1257, 18324, 20530, 1167, 10948, 4046, 3513, 18505, 1158, 3451, 1166, 1510, 182, 1510, 4964, 12125, 6989, 16051, 1257, 1539, 1354, 2460, 1255, 1167, 6480, 1165, 9940, 5383, 3409, 1257, 24857, 1539, 1246, 1167, 4172, 1772, 22446, 24738, 1125, 4052, 1257, 20851, 5922, 193, 7965, 1410, 25588, 10817, 1202, 24129, 15853, 2242, 1775, 14994, 1257, 6801, 1214, 1167, 13366, 16647, 2911, 1108, 1112, 1257, 1222, 3599, 119, 25110, 7334, 1374, 18770, 1257, 488, 124, 123, 129, 4826, 1763, 2026, 1125, 8969, 2232, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 106, 133, 488, 124, 132, 130, 128, 13776, 10995, 1194, 149, 1195, 3818, 1325, 1475, 1671, 192, 9116, 145, 1257, 13949, 11089, 1128, 116, 1257, 31322, 1836, 29465, 12109, 1761, 1252, 1475, 9103, 1200, 1896, 2911, 176, 6399, 1643, 7641, 3176, 1257, 8128, 16860, 2333, 3050, 12527, 8353, 1775, 3551, 7490, 1245, 1257, 1714, 17512, 29465, 12109, 1761, 7219, 2348, 30045, 1206, 1750, 1307, 1107, 1325, 1379, 1257, 31322, 1836, 29465, 12109, 1761, 9399, 20800, 5061, 12910, 8486, 1293, 9078, 1257, 9467, 5245, 1750, 1180, 1132, 1490, 14762, 8761, 1257, 24359, 1545, 13193, 106, 133, 4172, 26430, 4279, 16213, 2268, 1545, 12826, 1257, 5262, 1379, 1628, 1174, 4234, 29081, 1257, 17619, 1539, 1119, 1763, 1884, 1784, 24530, 1104, 1257, 26632, 14720, 1170, 9159, 12412, 21466, 5245, 2056, 1292, 17416, 1213, 1257, 27898, 1105, 2586, 183, 2100, 1325, 1510, 1257, 4020, 180, 1200, 10009, 133, 8179, 9323, 1167, 16828, 5825, 23159, 6417, 1166, 1510, 182, 1510, 1298, 9665, 1186, 488, 124, 132, 130, 128, 15089, 26859, 1354, 9665, 1186, 488, 124, 132, 130, 128, 15089, 27325, 1166, 1510, 182, 1510, 1298, 15089, 27325, 26859, 1354, 15089, 26738, 1166, 1510, 182, 1510, 1298, 15089, 26738, 26859, 1354, 15089, 8922, 1215, 21541, 2168, 4928, 1379, 3441, 30017, 15089, 8922, 1215, 31276, 1325, 1475, 1671, 192, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 4685, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1299, 1189, 18253, 10777, 8446, 1188, 19855, 119, 1313, 1170, 5927, 2720, 1227, 7092, 20089, 1109, 9994, 22295, 2932, 12685, 1299, 8446, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1188, 6429, 1141, 11270, 3296, 1768, 1522, 2845, 10125, 19732, 19491, 1183, 3556, 1125, 26341, 1197, 30013, 8787, 1125, 25849, 5277, 1167, 1844, 3247, 1227, 18836, 20669, 1199, 1170, 25424, 1227, 11044, 12243, 11894, 1125, 19855, 10177, 15376, 2576, 1740, 28567, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 2757, 1170, 488, 124, 128, 3141, 488, 124, 132, 126, 132, 1388, 15779, 11771, 15948, 13459, 20544, 11052, 12253, 1197, 19574, 17104, 1125, 19855, 12253, 1197, 19574, 17104, 1227, 7092, 20089, 1109, 7364, 5825, 1194, 16976, 2070, 10777, 1188, 19855, 3335, 2070, 10777, 14399, 1186, 488, 124, 132, 126, 132, 11495, 1188, 19855, 11495, 18253, 10777, 31105, 116, 18259, 3261, 261, 21619, 4289, 1216, 18288, 116, 32001, 1424, 32000, 20036, 2895, 4685, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1299, 1189, 18253, 10777, 8446, 1188, 19855, 119, 1313, 1170, 5927, 2720, 1227, 7092, 20089, 1109, 9994, 22295, 2932, 12685, 1299, 8446, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1188, 6429, 1141, 11270, 3296, 1768, 1522, 2845, 10125, 19732, 19491, 1183, 3556, 1125, 26341, 1197, 30013, 8787, 1125, 25849, 5277, 1167, 1844, 3247, 1227, 18836, 20669, 1199, 1170, 25424, 1227, 11044, 12243, 11894, 1125, 19855, 10177, 15376, 2576, 1740, 28567, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 2757, 1170, 488, 124, 128, 3141, 488, 124, 132, 126, 132, 1388, 15779, 11771, 15948, 13459, 20544, 11052, 12253, 1197, 19574, 17104, 1125, 19855, 12253, 1197, 19574, 17104, 1227, 7092, 20089, 1109, 7364, 5825, 1194, 16976, 2070, 10777, 1188, 19855, 3335, 2070, 10777, 14399, 1186, 488, 124, 132, 126, 132, 11495, 1188, 19855, 11495, 18253, 10777, 31105, 116, 18259, 3261, 261, 21619, 4289, 1216, 18288, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 4685, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1299, 1189, 18253, 10777, 8446, 1188, 19855, 119, 1313, 1170, 5927, 2720, 1227, 7092, 20089, 1109, 9994, 22295, 2932, 12685, 1299, 8446, 1317, 488, 124, 128, 119, 5820, 3261, 261, 21619, 1188, 6429, 1141, 11270, 3296, 1768, 1522, 2845, 10125, 19732, 19491, 1183, 3556, 1125, 26341, 1197, 30013, 8787, 1125, 25849, 5277, 1167, 1844, 3247, 1227, 18836, 20669, 1199, 1170, 25424, 1227, 11044, 12243, 11894, 1125, 19855, 10177, 15376, 2576, 1740, 28567, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 2757, 1170, 488, 124, 128, 3141, 488, 124, 132, 126, 132, 1388, 15779, 11771, 15948, 13459, 20544, 11052, 12253, 1197, 19574, 17104, 1125, 19855, 12253, 1197, 19574, 17104, 1227, 7092, 20089, 1109, 7364, 5825, 1194, 16976, 2070, 10777, 1188, 19855, 3335, 2070, 10777, 14399, 1186, 488, 124, 132, 126, 132, 11495, 1188, 19855, 11495, 18253, 10777, 31105, 116, 18259, 3261, 261, 21619, 4289, 1216, 18288, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 162, 3706, 12579, 1299, 1318, 4813, 5519, 16260, 10019, 1186, 1233, 2139, 3441, 2012, 1965, 1313, 7652, 16261, 1125, 3795, 1314, 29830, 1424, 162, 3706, 12579, 1281, 18381, 1317, 20449, 13469, 1125, 3261, 8028, 20181, 20481, 1424, 162, 3706, 12579, 1110, 1913, 21001, 1256, 1158, 3453, 2768, 1313, 1189, 3399, 9229, 1186, 488, 124, 124, 132, 129, 120, 124, 124, 132, 130, 2290, 1207, 15351, 1125, 1325, 7512, 1122, 12579, 1167, 1325, 10281, 12760, 5583, 23460, 1292, 1741, 1175, 1134, 1124, 7228, 116, 1125, 1158, 4813, 1424, 1233, 1249, 177, 14704, 106, 5922, 1923, 1206, 106, 4020, 25517, 1121, 177, 106, 4273, 1287, 189, 262, 1784, 119, 1469, 8471, 1206, 179, 2469, 106, 1248, 262, 1403, 106, 16848, 1888, 1132, 106, 1325, 3706, 12579, 106, 1325, 3706, 197, 1378, 106, 1325, 1811, 106, 2397, 1886, 1176, 1121, 177, 12662, 7849, 3608, 12006, 1188, 1158, 3837, 1424, 15243, 2133, 1109, 7478, 11453, 1121, 189, 1175, 124, 131, 123, 123, 120, 124, 131, 130, 128, 1496, 19442, 119, 20840, 1125, 10319, 11453, 1121, 11186, 5252, 1188, 4020, 25517, 1121, 177, 1155, 2133, 1109, 7478, 3261, 19350, 1175, 124, 131, 123, 126, 120, 124, 131, 129, 131, 1496, 18866, 5252, 1188, 1233, 1249, 177, 14704, 1155, 16839, 21073, 4847, 1154, 1596, 1175, 124, 132, 123, 126, 120, 124, 132, 132, 123, 1496, 11347, 2038, 5252, 1188, 1233, 1249, 177, 14704, 9994, 2624, 5825, 2093, 161, 1415, 1186, 1233, 2139, 3441, 24822, 4030, 189, 16261, 1125, 3795, 1314, 32001, 1424, 32000, 20036, 5486, 3706, 12579, 1299, 1318, 4813, 5519, 16260, 10019, 1186, 1233, 2139, 3441, 2012, 1965, 1313, 7652, 16261, 1125, 3795, 1314, 29830, 1424, 162, 3706, 12579, 1281, 18381, 1317, 20449, 13469, 1125, 3261, 8028, 20181, 20481, 1424, 162, 3706, 12579, 1110, 1913, 21001, 1256, 1158, 3453, 2768, 1313, 1189, 3399, 9229, 1186, 488, 124, 124, 132, 129, 120, 124, 124, 132, 130, 2290, 1207, 15351, 1125, 1325, 7512, 1122, 12579, 1167, 1325, 10281, 12760, 5583, 23460, 1292, 1741, 1175, 1134, 1124, 7228, 116, 1125, 1158, 4813, 1424, 1233, 1249, 177, 14704, 106, 5922, 1923, 1206, 106, 4020, 25517, 1121, 177, 106, 4273, 1287, 189, 262, 1784, 119, 1469, 8471, 1206, 179, 2469, 106, 1248, 262, 1403, 106, 16848, 1888, 1132, 106, 1325, 3706, 12579, 106, 1325, 3706, 197, 1378, 106, 1325, 1811, 106, 2397, 1886, 1176, 1121, 177, 12662, 7849, 3608, 12006, 1188, 1158, 3837, 1424, 15243, 2133, 1109, 7478, 11453, 1121, 189, 1175, 124, 131, 123, 123, 120, 124, 131, 130, 128, 1496, 19442, 119, 20840, 1125, 10319, 11453, 1121, 11186, 5252, 1188, 4020, 25517, 1121, 177, 1155, 2133, 1109, 7478, 3261, 19350, 1175, 124, 131, 123, 126, 120, 124, 131, 129, 131, 1496, 18866, 5252, 1188, 1233, 1249, 177, 14704, 1155, 16839, 21073, 4847, 1154, 1596, 1175, 124, 132, 123, 126, 120, 124, 132, 132, 123, 1496, 11347, 2038, 5252, 1188, 1233, 1249, 177, 14704, 9994, 2624, 5825, 2093, 161, 1415, 1186, 1233, 2139, 3441, 24822, 4030, 189, 16261, 1125, 3795, 1314, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5486, 3706, 12579, 1299, 1318, 4813, 5519, 16260, 10019, 1186, 1233, 2139, 3441, 2012, 1965, 1313, 7652, 16261, 1125, 3795, 1314, 29830, 1424, 162, 3706, 12579, 1281, 18381, 1317, 20449, 13469, 1125, 3261, 8028, 20181, 20481, 1424, 162, 3706, 12579, 1110, 1913, 21001, 1256, 1158, 3453, 2768, 1313, 1189, 3399, 9229, 1186, 488, 124, 124, 132, 129, 120, 124, 124, 132, 130, 2290, 1207, 15351, 1125, 1325, 7512, 1122, 12579, 1167, 1325, 10281, 12760, 5583, 23460, 1292, 1741, 1175, 1134, 1124, 7228, 116, 1125, 1158, 4813, 1424, 1233, 1249, 177, 14704, 106, 5922, 1923, 1206, 106, 4020, 25517, 1121, 177, 106, 4273, 1287, 189, 262, 1784, 119, 1469, 8471, 1206, 179, 2469, 106, 1248, 262, 1403, 106, 16848, 1888, 1132, 106, 1325, 3706, 12579, 106, 1325, 3706, 197, 1378, 106, 1325, 1811, 106, 2397, 1886, 1176, 1121, 177, 12662, 7849, 3608, 12006, 1188, 1158, 3837, 1424, 15243, 2133, 1109, 7478, 11453, 1121, 189, 1175, 124, 131, 123, 123, 120, 124, 131, 130, 128, 1496, 19442, 119, 20840, 1125, 10319, 11453, 1121, 11186, 5252, 1188, 4020, 25517, 1121, 177, 1155, 2133, 1109, 7478, 3261, 19350, 1175, 124, 131, 123, 126, 120, 124, 131, 129, 131, 1496, 18866, 5252, 1188, 1233, 1249, 177, 14704, 1155, 16839, 21073, 4847, 1154, 1596, 1175, 124, 132, 123, 126, 120, 124, 132, 132, 123, 1496, 11347, 2038, 5252, 1188, 1233, 1249, 177, 14704, 9994, 2624, 5825, 2093, 161, 1415, 1186, 1233, 2139, 3441, 24822, 4030, 189, 16261, 1125, 3795, 1314, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 17322, 9836, 1378, 1202, 2178, 5778, 4419, 1303, 1170, 488, 124, 127, 2798, 488, 124, 132, 129, 126, 1188, 10357, 11270, 6664, 6801, 1214, 116, 1299, 1318, 4875, 3657, 13900, 8732, 5066, 2500, 3657, 1424, 161, 1443, 14161, 1234, 9438, 1227, 3106, 3440, 2268, 5252, 186, 21178, 1444, 1793, 1125, 6389, 16609, 29661, 10840, 6396, 144, 148, 1496, 2399, 1299, 19174, 1313, 1207, 8787, 1125, 8443, 21647, 1167, 1125, 9293, 119, 3747, 1317, 17990, 29503, 1167, 1186, 3187, 1214, 1227, 1335, 5242, 2556, 1148, 1125, 6389, 144, 148, 1256, 23712, 1154, 11171, 1202, 2178, 5778, 1299, 2072, 6711, 1125, 1158, 6086, 1125, 26053, 1125, 23712, 11477, 30079, 2368, 25537, 2072, 1125, 5639, 1317, 10157, 2923, 1167, 1188, 1158, 22440, 1221, 2857, 14774, 7441, 2093, 15539, 1281, 1844, 8807, 3393, 1186, 2749, 488, 125, 123, 124, 126, 13625, 1378, 9824, 1158, 3060, 2335, 28617, 244, 1151, 2011, 2035, 19722, 1232, 1227, 22930, 1262, 1539, 3923, 1306, 1193, 3561, 24270, 1215, 4173, 1480, 15771, 1856, 14698, 23982, 8370, 2875, 488, 125, 123, 125, 123, 119, 2399, 22203, 9386, 1107, 17245, 1256, 16654, 8097, 6617, 1309, 1256, 14281, 1233, 1176, 2765, 2076, 1995, 2399, 1275, 1883, 1148, 1207, 1606, 9002, 1510, 1104, 8290, 2097, 3133, 1606, 1158, 6596, 27422, 1389, 1524, 1167, 1606, 1207, 12469, 1125, 11326, 2543, 1154, 2635, 1524, 1227, 3151, 1388, 2951, 174, 1627, 5843, 106, 31128, 1227, 13490, 1197, 10934, 21647, 1227, 25252, 1197, 9864, 1125, 488, 124, 132, 132, 125, 1188, 488, 125, 123, 123, 125, 1186, 4083, 1309, 7645, 7886, 30598, 1125, 1321, 3402, 8670, 1903, 1155, 1192, 5617, 1256, 1282, 6913, 1580, 19738, 1125, 488, 124, 132, 131, 130, 1188, 488, 124, 132, 132, 125, 1155, 3675, 1267, 2009, 20896, 6533, 1366, 1317, 10221, 15486, 14432, 1167, 1256, 1863, 1178, 1201, 2757, 18526, 25329, 1835, 488, 124, 132, 131, 127, 1167, 488, 124, 132, 131, 128, 11488, 1167, 16828, 5825, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 8156, 1188, 10357, 29401, 1875, 244, 1237, 1376, 1444, 1793, 8403, 2105, 25736, 3657, 13900, 1530, 16609, 29661, 10840, 32001, 1424, 32000, 20036, 1763, 9836, 1378, 1202, 2178, 5778, 4419, 1303, 1170, 488, 124, 127, 2798, 488, 124, 132, 129, 126, 1188, 10357, 11270, 6664, 6801, 1214, 116, 1299, 1318, 4875, 3657, 13900, 8732, 5066, 2500, 3657, 1424, 161, 1443, 14161, 1234, 9438, 1227, 3106, 3440, 2268, 5252, 186, 21178, 1444, 1793, 1125, 6389, 16609, 29661, 10840, 6396, 144, 148, 1496, 2399, 1299, 19174, 1313, 1207, 8787, 1125, 8443, 21647, 1167, 1125, 9293, 119, 3747, 1317, 17990, 29503, 1167, 1186, 3187, 1214, 1227, 1335, 5242, 2556, 1148, 1125, 6389, 144, 148, 1256, 23712, 1154, 11171, 1202, 2178, 5778, 1299, 2072, 6711, 1125, 1158, 6086, 1125, 26053, 1125, 23712, 11477, 30079, 2368, 25537, 2072, 1125, 5639, 1317, 10157, 2923, 1167, 1188, 1158, 22440, 1221, 2857, 14774, 7441, 2093, 15539, 1281, 1844, 8807, 3393, 1186, 2749, 488, 125, 123, 124, 126, 13625, 1378, 9824, 1158, 3060, 2335, 28617, 244, 1151, 2011, 2035, 19722, 1232, 1227, 22930, 1262, 1539, 3923, 1306, 1193, 3561, 24270, 1215, 4173, 1480, 15771, 1856, 14698, 23982, 8370, 2875, 488, 125, 123, 125, 123, 119, 2399, 22203, 9386, 1107, 17245, 1256, 16654, 8097, 6617, 1309, 1256, 14281, 1233, 1176, 2765, 2076, 1995, 2399, 1275, 1883, 1148, 1207, 1606, 9002, 1510, 1104, 8290, 2097, 3133, 1606, 1158, 6596, 27422, 1389, 1524, 1167, 1606, 1207, 12469, 1125, 11326, 2543, 1154, 2635, 1524, 1227, 3151, 1388, 2951, 174, 1627, 5843, 106, 31128, 1227, 13490, 1197, 10934, 21647, 1227, 25252, 1197, 9864, 1125, 488, 124, 132, 132, 125, 1188, 488, 125, 123, 123, 125, 1186, 4083, 1309, 7645, 7886, 30598, 1125, 1321, 3402, 8670, 1903, 1155, 1192, 5617, 1256, 1282, 6913, 1580, 19738, 1125, 488, 124, 132, 131, 130, 1188, 488, 124, 132, 132, 125, 1155, 3675, 1267, 2009, 20896, 6533, 1366, 1317, 10221, 15486, 14432, 1167, 1256, 1863, 1178, 1201, 2757, 18526, 25329, 1835, 488, 124, 132, 131, 127, 1167, 488, 124, 132, 131, 128, 11488, 1167, 16828, 5825, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 8156, 1188, 10357, 29401, 1875, 244, 1237, 1376, 1444, 1793, 8403, 2105, 25736, 3657, 13900, 1530, 16609, 29661, 10840, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1763, 9836, 1378, 1202, 2178, 5778, 4419, 1303, 1170, 488, 124, 127, 2798, 488, 124, 132, 129, 126, 1188, 10357, 11270, 6664, 6801, 1214, 116, 1299, 1318, 4875, 3657, 13900, 8732, 5066, 2500, 3657, 1424, 161, 1443, 14161, 1234, 9438, 1227, 3106, 3440, 2268, 5252, 186, 21178, 1444, 1793, 1125, 6389, 16609, 29661, 10840, 6396, 144, 148, 1496, 2399, 1299, 19174, 1313, 1207, 8787, 1125, 8443, 21647, 1167, 1125, 9293, 119, 3747, 1317, 17990, 29503, 1167, 1186, 3187, 1214, 1227, 1335, 5242, 2556, 1148, 1125, 6389, 144, 148, 1256, 23712, 1154, 11171, 1202, 2178, 5778, 1299, 2072, 6711, 1125, 1158, 6086, 1125, 26053, 1125, 23712, 11477, 30079, 2368, 25537, 2072, 1125, 5639, 1317, 10157, 2923, 1167, 1188, 1158, 22440, 1221, 2857, 14774, 7441, 2093, 15539, 1281, 1844, 8807, 3393, 1186, 2749, 488, 125, 123, 124, 126, 13625, 1378, 9824, 1158, 3060, 2335, 28617, 244, 1151, 2011, 2035, 19722, 1232, 1227, 22930, 1262, 1539, 3923, 1306, 1193, 3561, 24270, 1215, 4173, 1480, 15771, 1856, 14698, 23982, 8370, 2875, 488, 125, 123, 125, 123, 119, 2399, 22203, 9386, 1107, 17245, 1256, 16654, 8097, 6617, 1309, 1256, 14281, 1233, 1176, 2765, 2076, 1995, 2399, 1275, 1883, 1148, 1207, 1606, 9002, 1510, 1104, 8290, 2097, 3133, 1606, 1158, 6596, 27422, 1389, 1524, 1167, 1606, 1207, 12469, 1125, 11326, 2543, 1154, 2635, 1524, 1227, 3151, 1388, 2951, 174, 1627, 5843, 106, 31128, 1227, 13490, 1197, 10934, 21647, 1227, 25252, 1197, 9864, 1125, 488, 124, 132, 132, 125, 1188, 488, 125, 123, 123, 125, 1186, 4083, 1309, 7645, 7886, 30598, 1125, 1321, 3402, 8670, 1903, 1155, 1192, 5617, 1256, 1282, 6913, 1580, 19738, 1125, 488, 124, 132, 131, 130, 1188, 488, 124, 132, 132, 125, 1155, 3675, 1267, 2009, 20896, 6533, 1366, 1317, 10221, 15486, 14432, 1167, 1256, 1863, 1178, 1201, 2757, 18526, 25329, 1835, 488, 124, 132, 131, 127, 1167, 488, 124, 132, 131, 128, 11488, 1167, 16828, 5825, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 8156, 1188, 10357, 29401, 1875, 244, 1237, 1376, 1444, 1793, 8403, 2105, 25736, 3657, 13900, 1530, 16609, 29661, 10840, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 6586, 488, 125, 123, 124, 130, 1227, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 1299, 1158, 16750, 2009, 120, 1349, 195, 3555, 9891, 1125, 1158, 3453, 10041, 1186, 2397, 2724, 4654, 1808, 8826, 4408, 1635, 10895, 10431, 1227, 3293, 1508, 22020, 1473, 1317, 5545, 2519, 8613, 1126, 3430, 2585, 5138, 2368, 2949, 5034, 1129, 2069, 12999, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 29692, 1207, 5999, 8176, 1227, 14408, 1508, 1826, 1603, 17993, 1167, 27372, 1215, 1207, 2069, 7790, 1125, 15747, 1197, 2069, 6969, 6431, 20678, 1125, 2397, 2724, 2323, 13719, 13897, 119, 1158, 6311, 10041, 2207, 2724, 3556, 8273, 2119, 1170, 5878, 1125, 2397, 27662, 4909, 13054, 1357, 18900, 1170, 16277, 1816, 6586, 2750, 2782, 26705, 1186, 6425, 1227, 5971, 2121, 1469, 1189, 4374, 2151, 13335, 1336, 1300, 1170, 15438, 1227, 23527, 2397, 1119, 19374, 13054, 1167, 3203, 1300, 1266, 182, 4436, 13054, 121, 6053, 1170, 4593, 3555, 3694, 1125, 14045, 1125, 2397, 2724, 1214, 1125, 13400, 1227, 5878, 12825, 14596, 10140, 1194, 8039, 244, 4538, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 2809, 14443, 2093, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 2809, 1287, 1194, 199, 200, 2093, 141, 23868, 1125, 1158, 6586, 13459, 2072, 15948, 7364, 22260, 1424, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 7364, 5825, 1424, 488, 8935, 10554, 1300, 1158, 6586, 1300, 21017, 158, 145, 1194, 125, 123, 124, 130, 16189, 2724, 18514, 125, 123, 124, 130, 1186, 2397, 2724, 1214, 114, 32001, 1424, 32000, 20036, 2895, 6586, 488, 125, 123, 124, 130, 1227, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 1299, 1158, 16750, 2009, 120, 1349, 195, 3555, 9891, 1125, 1158, 3453, 10041, 1186, 2397, 2724, 4654, 1808, 8826, 4408, 1635, 10895, 10431, 1227, 3293, 1508, 22020, 1473, 1317, 5545, 2519, 8613, 1126, 3430, 2585, 5138, 2368, 2949, 5034, 1129, 2069, 12999, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 29692, 1207, 5999, 8176, 1227, 14408, 1508, 1826, 1603, 17993, 1167, 27372, 1215, 1207, 2069, 7790, 1125, 15747, 1197, 2069, 6969, 6431, 20678, 1125, 2397, 2724, 2323, 13719, 13897, 119, 1158, 6311, 10041, 2207, 2724, 3556, 8273, 2119, 1170, 5878, 1125, 2397, 27662, 4909, 13054, 1357, 18900, 1170, 16277, 1816, 6586, 2750, 2782, 26705, 1186, 6425, 1227, 5971, 2121, 1469, 1189, 4374, 2151, 13335, 1336, 1300, 1170, 15438, 1227, 23527, 2397, 1119, 19374, 13054, 1167, 3203, 1300, 1266, 182, 4436, 13054, 121, 6053, 1170, 4593, 3555, 3694, 1125, 14045, 1125, 2397, 2724, 1214, 1125, 13400, 1227, 5878, 12825, 14596, 10140, 1194, 8039, 244, 4538, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 2809, 14443, 2093, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 2809, 1287, 1194, 199, 200, 2093, 141, 23868, 1125, 1158, 6586, 13459, 2072, 15948, 7364, 22260, 1424, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 7364, 5825, 1424, 488, 8935, 10554, 1300, 1158, 6586, 1300, 21017, 158, 145, 1194, 125, 123, 124, 130, 16189, 2724, 18514, 125, 123, 124, 130, 1186, 2397, 2724, 1214, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 6586, 488, 125, 123, 124, 130, 1227, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 1299, 1158, 16750, 2009, 120, 1349, 195, 3555, 9891, 1125, 1158, 3453, 10041, 1186, 2397, 2724, 4654, 1808, 8826, 4408, 1635, 10895, 10431, 1227, 3293, 1508, 22020, 1473, 1317, 5545, 2519, 8613, 1126, 3430, 2585, 5138, 2368, 2949, 5034, 1129, 2069, 12999, 1188, 10081, 1167, 1188, 28347, 121, 1653, 1622, 1125, 29692, 1207, 5999, 8176, 1227, 14408, 1508, 1826, 1603, 17993, 1167, 27372, 1215, 1207, 2069, 7790, 1125, 15747, 1197, 2069, 6969, 6431, 20678, 1125, 2397, 2724, 2323, 13719, 13897, 119, 1158, 6311, 10041, 2207, 2724, 3556, 8273, 2119, 1170, 5878, 1125, 2397, 27662, 4909, 13054, 1357, 18900, 1170, 16277, 1816, 6586, 2750, 2782, 26705, 1186, 6425, 1227, 5971, 2121, 1469, 1189, 4374, 2151, 13335, 1336, 1300, 1170, 15438, 1227, 23527, 2397, 1119, 19374, 13054, 1167, 3203, 1300, 1266, 182, 4436, 13054, 121, 6053, 1170, 4593, 3555, 3694, 1125, 14045, 1125, 2397, 2724, 1214, 1125, 13400, 1227, 5878, 12825, 14596, 10140, 1194, 8039, 244, 4538, 10791, 3688, 2247, 1125, 4153, 28558, 1188, 21842, 1170, 14408, 1281, 23248, 5295, 2442, 2232, 21851, 8648, 1257, 488, 126, 2151, 2523, 21255, 14271, 1257, 488, 124, 2151, 106, 17857, 20645, 1257, 488, 123, 2151, 1194, 2809, 14443, 2093, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 2809, 1287, 1194, 199, 200, 2093, 141, 23868, 1125, 1158, 6586, 13459, 2072, 15948, 7364, 22260, 1424, 26389, 1125, 2397, 2724, 1214, 1125, 7711, 7364, 5825, 1424, 488, 8935, 10554, 1300, 1158, 6586, 1300, 21017, 158, 145, 1194, 125, 123, 124, 130, 16189, 2724, 18514, 125, 123, 124, 130, 1186, 2397, 2724, 1214, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 3681, 1262, 3032, 3724, 244, 24051, 1170, 488, 125, 130, 3012, 488, 124, 132, 127, 129, 1188, 3281, 5445, 1137, 5485, 1313, 1158, 10660, 1227, 8579, 1317, 6372, 116, 1299, 1189, 10952, 22256, 1517, 1125, 19219, 1300, 17866, 25886, 4096, 1125, 10952, 25268, 8718, 1561, 9245, 1186, 488, 124, 132, 129, 126, 1469, 1207, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 1313, 1158, 15696, 1125, 19219, 24638, 1192, 4513, 1227, 8579, 1388, 2003, 12224, 1424, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 1388, 199, 124, 132, 129, 126, 120, 124, 132, 129, 127, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 127, 120, 124, 132, 129, 128, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 127, 123, 2848, 125, 125, 2848, 126, 124, 2848, 128, 126, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 128, 120, 124, 132, 129, 129, 2848, 3261, 192, 1554, 1125, 2460, 2554, 1109, 15108, 2848, 488, 1200, 149, 4513, 19157, 2848, 120, 2848, 125, 124, 2848, 127, 127, 2848, 129, 128, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 129, 129, 120, 124, 132, 129, 130, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 124, 2848, 130, 2848, 126, 129, 2848, 127, 126, 2848, 128, 125, 2848, 127, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 129, 130, 120, 124, 132, 129, 131, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 126, 2848, 124, 123, 2848, 124, 132, 2848, 128, 132, 2848, 127, 125, 2848, 124, 124, 2848, 126, 2848, 126, 2848, 129, 2848, 131, 15645, 124, 132, 129, 131, 120, 124, 132, 129, 132, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 130, 124, 2848, 124, 128, 2848, 127, 129, 2848, 129, 124, 2848, 125, 127, 2848, 132, 2848, 123, 2848, 130, 2848, 130, 2848, 129, 13090, 11905, 124, 132, 129, 132, 120, 124, 132, 130, 123, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 130, 2848, 124, 126, 2848, 127, 124, 2848, 128, 127, 2848, 127, 129, 2848, 124, 126, 2848, 126, 2848, 124, 125, 2848, 124, 128, 2848, 129, 15645, 124, 132, 130, 123, 120, 124, 132, 130, 124, 2848, 10569, 5342, 8875, 1125, 2708, 27419, 2848, 16534, 151, 2848, 129, 127, 2848, 124, 123, 2848, 125, 127, 2848, 126, 127, 2848, 124, 130, 2848, 124, 123, 2848, 123, 2848, 125, 2848, 125, 2848, 129, 13090, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 2848, 1200, 3246, 2848, 132, 2848, 123, 2848, 123, 2848, 123, 2848, 124, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 126, 123, 2848, 125, 2848, 129, 132, 2848, 131, 2848, 126, 127, 2848, 126, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 11453, 4431, 14609, 1724, 3004, 2848, 1200, 3246, 2848, 124, 127, 2848, 125, 2848, 124, 124, 2848, 124, 126, 2848, 126, 125, 2848, 124, 124, 2848, 125, 2848, 128, 2848, 130, 2848, 125, 123, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 128, 130, 2848, 130, 2848, 125, 126, 2848, 126, 123, 2848, 130, 125, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 126, 120, 124, 132, 130, 127, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 130, 131, 2848, 127, 2848, 126, 129, 2848, 127, 123, 2848, 132, 126, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 1831, 4884, 1695, 125, 109, 199, 124, 132, 130, 127, 120, 124, 132, 130, 128, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 125, 125, 2848, 127, 2848, 130, 2848, 124, 124, 2848, 124, 132, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 1321, 2298, 1125, 1325, 6883, 2552, 178, 2848, 8804, 147, 2848, 128, 127, 2848, 123, 2848, 124, 127, 2848, 124, 127, 2848, 125, 127, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 1194, 199, 124, 128, 127, 2848, 131, 2848, 128, 130, 2848, 129, 128, 2848, 124, 126, 129, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 9323, 1167, 20117, 2072, 29496, 1186, 3012, 488, 124, 132, 127, 129, 14601, 22256, 1517, 1125, 19219, 1300, 17866, 14601, 1197, 1293, 24332, 1125, 8242, 2333, 14601, 1197, 10569, 5342, 8875, 1125, 2708, 27419, 11560, 19131, 18240, 12590, 1197, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 14601, 1197, 31492, 1125, 15133, 5250, 14601, 1197, 11453, 4431, 14609, 1724, 3004, 14601, 1197, 10073, 1331, 1485, 1125, 8579, 14601, 1197, 1321, 2298, 1125, 1325, 6883, 2552, 178, 1175, 124, 132, 130, 125, 120, 124, 132, 132, 129, 12125, 3401, 1811, 1136, 1125, 19219, 1300, 17866, 2911, 2288, 1199, 1227, 29672, 1303, 15656, 1857, 4853, 121, 5264, 1404, 1105, 32001, 1424, 32000, 20036, 8472, 1262, 3032, 3724, 244, 24051, 1170, 488, 125, 130, 3012, 488, 124, 132, 127, 129, 1188, 3281, 5445, 1137, 5485, 1313, 1158, 10660, 1227, 8579, 1317, 6372, 116, 1299, 1189, 10952, 22256, 1517, 1125, 19219, 1300, 17866, 25886, 4096, 1125, 10952, 25268, 8718, 1561, 9245, 1186, 488, 124, 132, 129, 126, 1469, 1207, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 1313, 1158, 15696, 1125, 19219, 24638, 1192, 4513, 1227, 8579, 1388, 2003, 12224, 1424, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 1388, 199, 124, 132, 129, 126, 120, 124, 132, 129, 127, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 127, 120, 124, 132, 129, 128, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 127, 123, 2848, 125, 125, 2848, 126, 124, 2848, 128, 126, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 128, 120, 124, 132, 129, 129, 2848, 3261, 192, 1554, 1125, 2460, 2554, 1109, 15108, 2848, 488, 1200, 149, 4513, 19157, 2848, 120, 2848, 125, 124, 2848, 127, 127, 2848, 129, 128, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 129, 129, 120, 124, 132, 129, 130, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 124, 2848, 130, 2848, 126, 129, 2848, 127, 126, 2848, 128, 125, 2848, 127, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 129, 130, 120, 124, 132, 129, 131, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 126, 2848, 124, 123, 2848, 124, 132, 2848, 128, 132, 2848, 127, 125, 2848, 124, 124, 2848, 126, 2848, 126, 2848, 129, 2848, 131, 15645, 124, 132, 129, 131, 120, 124, 132, 129, 132, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 130, 124, 2848, 124, 128, 2848, 127, 129, 2848, 129, 124, 2848, 125, 127, 2848, 132, 2848, 123, 2848, 130, 2848, 130, 2848, 129, 13090, 11905, 124, 132, 129, 132, 120, 124, 132, 130, 123, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 130, 2848, 124, 126, 2848, 127, 124, 2848, 128, 127, 2848, 127, 129, 2848, 124, 126, 2848, 126, 2848, 124, 125, 2848, 124, 128, 2848, 129, 15645, 124, 132, 130, 123, 120, 124, 132, 130, 124, 2848, 10569, 5342, 8875, 1125, 2708, 27419, 2848, 16534, 151, 2848, 129, 127, 2848, 124, 123, 2848, 125, 127, 2848, 126, 127, 2848, 124, 130, 2848, 124, 123, 2848, 123, 2848, 125, 2848, 125, 2848, 129, 13090, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 2848, 1200, 3246, 2848, 132, 2848, 123, 2848, 123, 2848, 123, 2848, 124, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 126, 123, 2848, 125, 2848, 129, 132, 2848, 131, 2848, 126, 127, 2848, 126, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 11453, 4431, 14609, 1724, 3004, 2848, 1200, 3246, 2848, 124, 127, 2848, 125, 2848, 124, 124, 2848, 124, 126, 2848, 126, 125, 2848, 124, 124, 2848, 125, 2848, 128, 2848, 130, 2848, 125, 123, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 128, 130, 2848, 130, 2848, 125, 126, 2848, 126, 123, 2848, 130, 125, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 126, 120, 124, 132, 130, 127, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 130, 131, 2848, 127, 2848, 126, 129, 2848, 127, 123, 2848, 132, 126, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 1831, 4884, 1695, 125, 109, 199, 124, 132, 130, 127, 120, 124, 132, 130, 128, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 125, 125, 2848, 127, 2848, 130, 2848, 124, 124, 2848, 124, 132, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 1321, 2298, 1125, 1325, 6883, 2552, 178, 2848, 8804, 147, 2848, 128, 127, 2848, 123, 2848, 124, 127, 2848, 124, 127, 2848, 125, 127, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 1194, 199, 124, 128, 127, 2848, 131, 2848, 128, 130, 2848, 129, 128, 2848, 124, 126, 129, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 9323, 1167, 20117, 2072, 29496, 1186, 3012, 488, 124, 132, 127, 129, 14601, 22256, 1517, 1125, 19219, 1300, 17866, 14601, 1197, 1293, 24332, 1125, 8242, 2333, 14601, 1197, 10569, 5342, 8875, 1125, 2708, 27419, 11560, 19131, 18240, 12590, 1197, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 14601, 1197, 31492, 1125, 15133, 5250, 14601, 1197, 11453, 4431, 14609, 1724, 3004, 14601, 1197, 10073, 1331, 1485, 1125, 8579, 14601, 1197, 1321, 2298, 1125, 1325, 6883, 2552, 178, 1175, 124, 132, 130, 125, 120, 124, 132, 132, 129, 12125, 3401, 1811, 1136, 1125, 19219, 1300, 17866, 2911, 2288, 1199, 1227, 29672, 1303, 15656, 1857, 4853, 121, 5264, 1404, 1105, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8472, 1262, 3032, 3724, 244, 24051, 1170, 488, 125, 130, 3012, 488, 124, 132, 127, 129, 1188, 3281, 5445, 1137, 5485, 1313, 1158, 10660, 1227, 8579, 1317, 6372, 116, 1299, 1189, 10952, 22256, 1517, 1125, 19219, 1300, 17866, 25886, 4096, 1125, 10952, 25268, 8718, 1561, 9245, 1186, 488, 124, 132, 129, 126, 1469, 1207, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 1313, 1158, 15696, 1125, 19219, 24638, 1192, 4513, 1227, 8579, 1388, 2003, 12224, 1424, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 1388, 199, 124, 132, 129, 126, 120, 124, 132, 129, 127, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 127, 120, 124, 132, 129, 128, 2848, 3261, 192, 1554, 1125, 1352, 1993, 6533, 1342, 1415, 2848, 1200, 149, 4513, 19157, 2848, 127, 123, 2848, 125, 125, 2848, 126, 124, 2848, 128, 126, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 124, 132, 129, 128, 120, 124, 132, 129, 129, 2848, 3261, 192, 1554, 1125, 2460, 2554, 1109, 15108, 2848, 488, 1200, 149, 4513, 19157, 2848, 120, 2848, 125, 124, 2848, 127, 127, 2848, 129, 128, 2848, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 129, 129, 120, 124, 132, 129, 130, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 124, 2848, 130, 2848, 126, 129, 2848, 127, 126, 2848, 128, 125, 2848, 127, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 129, 130, 120, 124, 132, 129, 131, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 126, 2848, 124, 123, 2848, 124, 132, 2848, 128, 132, 2848, 127, 125, 2848, 124, 124, 2848, 126, 2848, 126, 2848, 129, 2848, 131, 15645, 124, 132, 129, 131, 120, 124, 132, 129, 132, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 130, 124, 2848, 124, 128, 2848, 127, 129, 2848, 129, 124, 2848, 125, 127, 2848, 132, 2848, 123, 2848, 130, 2848, 130, 2848, 129, 13090, 11905, 124, 132, 129, 132, 120, 124, 132, 130, 123, 2848, 1293, 24332, 1125, 8242, 2333, 2848, 15949, 147, 2848, 129, 130, 2848, 124, 126, 2848, 127, 124, 2848, 128, 127, 2848, 127, 129, 2848, 124, 126, 2848, 126, 2848, 124, 125, 2848, 124, 128, 2848, 129, 15645, 124, 132, 130, 123, 120, 124, 132, 130, 124, 2848, 10569, 5342, 8875, 1125, 2708, 27419, 2848, 16534, 151, 2848, 129, 127, 2848, 124, 123, 2848, 125, 127, 2848, 126, 127, 2848, 124, 130, 2848, 124, 123, 2848, 123, 2848, 125, 2848, 125, 2848, 129, 13090, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 2848, 1200, 3246, 2848, 132, 2848, 123, 2848, 123, 2848, 123, 2848, 124, 123, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 124, 120, 124, 132, 130, 125, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 126, 123, 2848, 125, 2848, 129, 132, 2848, 131, 2848, 126, 127, 2848, 126, 2848, 123, 2848, 126, 2848, 126, 2848, 127, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 11453, 4431, 14609, 1724, 3004, 2848, 1200, 3246, 2848, 124, 127, 2848, 125, 2848, 124, 124, 2848, 124, 126, 2848, 126, 125, 2848, 124, 124, 2848, 125, 2848, 128, 2848, 130, 2848, 125, 123, 15645, 124, 132, 130, 125, 120, 124, 132, 130, 126, 2848, 31492, 1125, 15133, 5250, 2848, 3526, 147, 2848, 128, 130, 2848, 130, 2848, 125, 126, 2848, 126, 123, 2848, 130, 125, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 124, 132, 130, 126, 120, 124, 132, 130, 127, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 130, 131, 2848, 127, 2848, 126, 129, 2848, 127, 123, 2848, 132, 126, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 13090, 11905, 1831, 4884, 1695, 125, 109, 199, 124, 132, 130, 127, 120, 124, 132, 130, 128, 2848, 10073, 1331, 1485, 1125, 8579, 2848, 8804, 147, 2848, 125, 125, 2848, 127, 2848, 130, 2848, 124, 124, 2848, 124, 132, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 11905, 11905, 1321, 2298, 1125, 1325, 6883, 2552, 178, 2848, 8804, 147, 2848, 128, 127, 2848, 123, 2848, 124, 127, 2848, 124, 127, 2848, 125, 127, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 1194, 199, 124, 128, 127, 2848, 131, 2848, 128, 130, 2848, 129, 128, 2848, 124, 126, 129, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 2848, 120, 9323, 1167, 20117, 2072, 29496, 1186, 3012, 488, 124, 132, 127, 129, 14601, 22256, 1517, 1125, 19219, 1300, 17866, 14601, 1197, 1293, 24332, 1125, 8242, 2333, 14601, 1197, 10569, 5342, 8875, 1125, 2708, 27419, 11560, 19131, 18240, 12590, 1197, 2893, 1992, 1201, 14609, 29682, 10778, 5407, 14601, 1197, 31492, 1125, 15133, 5250, 14601, 1197, 11453, 4431, 14609, 1724, 3004, 14601, 1197, 10073, 1331, 1485, 1125, 8579, 14601, 1197, 1321, 2298, 1125, 1325, 6883, 2552, 178, 1175, 124, 132, 130, 125, 120, 124, 132, 132, 129, 12125, 3401, 1811, 1136, 1125, 19219, 1300, 17866, 2911, 2288, 1199, 1227, 29672, 1303, 15656, 1857, 4853, 121, 5264, 1404, 1105, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 224, 28716, 1424, 4511, 31209, 5116, 1378, 1125, 6721, 1170, 1498, 179, 3931, 1196, 3122, 1724, 114, 1142, 21552, 1309, 1594, 3293, 11055, 1370, 1318, 5963, 2585, 5891, 26875, 14064, 1262, 1125, 12052, 24909, 1999, 27563, 3144, 15893, 12179, 19933, 14102, 1469, 1170, 2929, 1125, 1999, 4683, 1318, 8401, 6952, 1271, 5395, 30404, 1388, 488, 1323, 488, 124, 123, 2578, 488, 124, 131, 130, 131, 1257, 17507, 5116, 1378, 1125, 2801, 1388, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 1170, 2539, 8464, 14363, 5264, 1502, 1435, 1321, 10779, 1125, 18145, 13227, 1774, 7354, 11824, 5328, 1227, 8579, 121, 30754, 1186, 2320, 1125, 1594, 5987, 1388, 488, 124, 127, 2738, 488, 124, 131, 130, 131, 9845, 8400, 116, 1257, 1693, 16386, 1128, 1227, 5328, 1197, 10934, 21647, 21103, 1287, 186, 1198, 9981, 1195, 1507, 180, 1175, 124, 131, 126, 123, 120, 124, 131, 130, 131, 116, 1357, 3618, 4021, 244, 1158, 3591, 1317, 1382, 1125, 24212, 1174, 6533, 6280, 1205, 280, 1215, 4593, 7773, 1136, 1298, 1227, 1173, 1889, 19093, 1388, 488, 124, 128, 2738, 488, 124, 131, 130, 131, 2232, 14506, 1257, 24204, 1125, 1158, 30357, 1125, 1198, 280, 6200, 280, 1155, 11315, 1257, 1207, 1408, 6346, 4634, 1227, 6279, 179, 4234, 5950, 4520, 4256, 9144, 3824, 1167, 2180, 1129, 1189, 3631, 24223, 1170, 1173, 175, 15077, 1124, 6279, 179, 4234, 5950, 4520, 119, 2290, 1158, 14424, 1125, 1173, 1120, 185, 1495, 2460, 1573, 1164, 1167, 1645, 4180, 15587, 1119, 1233, 1679, 1388, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 1253, 11217, 1227, 28565, 7551, 1125, 11173, 1118, 2184, 180, 1317, 8579, 1167, 20682, 27665, 1314, 1299, 1594, 3151, 2682, 17215, 7885, 2532, 2339, 2093, 488, 126, 2738, 488, 124, 131, 130, 131, 1257, 27583, 11412, 192, 2174, 7011, 5598, 26298, 2720, 28325, 25561, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 23148, 1210, 2869, 2765, 5598, 3657, 20120, 28325, 25561, 488, 124, 123, 2738, 488, 124, 131, 130, 131, 1257, 28708, 1342, 1173, 2931, 1320, 1783, 119, 5598, 3657, 10816, 1155, 488, 124, 132, 2738, 488, 124, 131, 130, 131, 1257, 27583, 1200, 1132, 17551, 16438, 21359, 1836, 1155, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 1202, 11885, 7658, 9419, 12671, 1167, 20798, 24412, 2720, 28325, 488, 124, 132, 127, 128, 4023, 31133, 1467, 2093, 488, 130, 2738, 488, 124, 131, 130, 131, 1257, 8179, 4338, 17879, 4024, 176, 24026, 2806, 18866, 2720, 1175, 210, 25561, 124, 124, 2738, 488, 124, 131, 130, 131, 1257, 6780, 11088, 1222, 6118, 1494, 5445, 5200, 1371, 7011, 4617, 12243, 1125, 1233, 1372, 1249, 1167, 5759, 1136, 1125, 1158, 2593, 1231, 6111, 12132, 106, 125, 123, 2738, 488, 124, 131, 130, 131, 1257, 19120, 2497, 3454, 1119, 1325, 6417, 7658, 14277, 22053, 4613, 1958, 12243, 1227, 20835, 3551, 5342, 13133, 2057, 11488, 1167, 5474, 32001, 1424, 32000, 20036, 5526, 28716, 1424, 4511, 31209, 5116, 1378, 1125, 6721, 1170, 1498, 179, 3931, 1196, 3122, 1724, 114, 1142, 21552, 1309, 1594, 3293, 11055, 1370, 1318, 5963, 2585, 5891, 26875, 14064, 1262, 1125, 12052, 24909, 1999, 27563, 3144, 15893, 12179, 19933, 14102, 1469, 1170, 2929, 1125, 1999, 4683, 1318, 8401, 6952, 1271, 5395, 30404, 1388, 488, 1323, 488, 124, 123, 2578, 488, 124, 131, 130, 131, 1257, 17507, 5116, 1378, 1125, 2801, 1388, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 1170, 2539, 8464, 14363, 5264, 1502, 1435, 1321, 10779, 1125, 18145, 13227, 1774, 7354, 11824, 5328, 1227, 8579, 121, 30754, 1186, 2320, 1125, 1594, 5987, 1388, 488, 124, 127, 2738, 488, 124, 131, 130, 131, 9845, 8400, 116, 1257, 1693, 16386, 1128, 1227, 5328, 1197, 10934, 21647, 21103, 1287, 186, 1198, 9981, 1195, 1507, 180, 1175, 124, 131, 126, 123, 120, 124, 131, 130, 131, 116, 1357, 3618, 4021, 244, 1158, 3591, 1317, 1382, 1125, 24212, 1174, 6533, 6280, 1205, 280, 1215, 4593, 7773, 1136, 1298, 1227, 1173, 1889, 19093, 1388, 488, 124, 128, 2738, 488, 124, 131, 130, 131, 2232, 14506, 1257, 24204, 1125, 1158, 30357, 1125, 1198, 280, 6200, 280, 1155, 11315, 1257, 1207, 1408, 6346, 4634, 1227, 6279, 179, 4234, 5950, 4520, 4256, 9144, 3824, 1167, 2180, 1129, 1189, 3631, 24223, 1170, 1173, 175, 15077, 1124, 6279, 179, 4234, 5950, 4520, 119, 2290, 1158, 14424, 1125, 1173, 1120, 185, 1495, 2460, 1573, 1164, 1167, 1645, 4180, 15587, 1119, 1233, 1679, 1388, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 1253, 11217, 1227, 28565, 7551, 1125, 11173, 1118, 2184, 180, 1317, 8579, 1167, 20682, 27665, 1314, 1299, 1594, 3151, 2682, 17215, 7885, 2532, 2339, 2093, 488, 126, 2738, 488, 124, 131, 130, 131, 1257, 27583, 11412, 192, 2174, 7011, 5598, 26298, 2720, 28325, 25561, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 23148, 1210, 2869, 2765, 5598, 3657, 20120, 28325, 25561, 488, 124, 123, 2738, 488, 124, 131, 130, 131, 1257, 28708, 1342, 1173, 2931, 1320, 1783, 119, 5598, 3657, 10816, 1155, 488, 124, 132, 2738, 488, 124, 131, 130, 131, 1257, 27583, 1200, 1132, 17551, 16438, 21359, 1836, 1155, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 1202, 11885, 7658, 9419, 12671, 1167, 20798, 24412, 2720, 28325, 488, 124, 132, 127, 128, 4023, 31133, 1467, 2093, 488, 130, 2738, 488, 124, 131, 130, 131, 1257, 8179, 4338, 17879, 4024, 176, 24026, 2806, 18866, 2720, 1175, 210, 25561, 124, 124, 2738, 488, 124, 131, 130, 131, 1257, 6780, 11088, 1222, 6118, 1494, 5445, 5200, 1371, 7011, 4617, 12243, 1125, 1233, 1372, 1249, 1167, 5759, 1136, 1125, 1158, 2593, 1231, 6111, 12132, 106, 125, 123, 2738, 488, 124, 131, 130, 131, 1257, 19120, 2497, 3454, 1119, 1325, 6417, 7658, 14277, 22053, 4613, 1958, 12243, 1227, 20835, 3551, 5342, 13133, 2057, 11488, 1167, 5474, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5526, 28716, 1424, 4511, 31209, 5116, 1378, 1125, 6721, 1170, 1498, 179, 3931, 1196, 3122, 1724, 114, 1142, 21552, 1309, 1594, 3293, 11055, 1370, 1318, 5963, 2585, 5891, 26875, 14064, 1262, 1125, 12052, 24909, 1999, 27563, 3144, 15893, 12179, 19933, 14102, 1469, 1170, 2929, 1125, 1999, 4683, 1318, 8401, 6952, 1271, 5395, 30404, 1388, 488, 1323, 488, 124, 123, 2578, 488, 124, 131, 130, 131, 1257, 17507, 5116, 1378, 1125, 2801, 1388, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 1170, 2539, 8464, 14363, 5264, 1502, 1435, 1321, 10779, 1125, 18145, 13227, 1774, 7354, 11824, 5328, 1227, 8579, 121, 30754, 1186, 2320, 1125, 1594, 5987, 1388, 488, 124, 127, 2738, 488, 124, 131, 130, 131, 9845, 8400, 116, 1257, 1693, 16386, 1128, 1227, 5328, 1197, 10934, 21647, 21103, 1287, 186, 1198, 9981, 1195, 1507, 180, 1175, 124, 131, 126, 123, 120, 124, 131, 130, 131, 116, 1357, 3618, 4021, 244, 1158, 3591, 1317, 1382, 1125, 24212, 1174, 6533, 6280, 1205, 280, 1215, 4593, 7773, 1136, 1298, 1227, 1173, 1889, 19093, 1388, 488, 124, 128, 2738, 488, 124, 131, 130, 131, 2232, 14506, 1257, 24204, 1125, 1158, 30357, 1125, 1198, 280, 6200, 280, 1155, 11315, 1257, 1207, 1408, 6346, 4634, 1227, 6279, 179, 4234, 5950, 4520, 4256, 9144, 3824, 1167, 2180, 1129, 1189, 3631, 24223, 1170, 1173, 175, 15077, 1124, 6279, 179, 4234, 5950, 4520, 119, 2290, 1158, 14424, 1125, 1173, 1120, 185, 1495, 2460, 1573, 1164, 1167, 1645, 4180, 15587, 1119, 1233, 1679, 1388, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 1253, 11217, 1227, 28565, 7551, 1125, 11173, 1118, 2184, 180, 1317, 8579, 1167, 20682, 27665, 1314, 1299, 1594, 3151, 2682, 17215, 7885, 2532, 2339, 2093, 488, 126, 2738, 488, 124, 131, 130, 131, 1257, 27583, 11412, 192, 2174, 7011, 5598, 26298, 2720, 28325, 25561, 488, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 23148, 1210, 2869, 2765, 5598, 3657, 20120, 28325, 25561, 488, 124, 123, 2738, 488, 124, 131, 130, 131, 1257, 28708, 1342, 1173, 2931, 1320, 1783, 119, 5598, 3657, 10816, 1155, 488, 124, 132, 2738, 488, 124, 131, 130, 131, 1257, 27583, 1200, 1132, 17551, 16438, 21359, 1836, 1155, 488, 125, 131, 2738, 488, 124, 131, 130, 131, 1257, 5612, 1202, 11885, 7658, 9419, 12671, 1167, 20798, 24412, 2720, 28325, 488, 124, 132, 127, 128, 4023, 31133, 1467, 2093, 488, 130, 2738, 488, 124, 131, 130, 131, 1257, 8179, 4338, 17879, 4024, 176, 24026, 2806, 18866, 2720, 1175, 210, 25561, 124, 124, 2738, 488, 124, 131, 130, 131, 1257, 6780, 11088, 1222, 6118, 1494, 5445, 5200, 1371, 7011, 4617, 12243, 1125, 1233, 1372, 1249, 1167, 5759, 1136, 1125, 1158, 2593, 1231, 6111, 12132, 106, 125, 123, 2738, 488, 124, 131, 130, 131, 1257, 19120, 2497, 3454, 1119, 1325, 6417, 7658, 14277, 22053, 4613, 1958, 12243, 1227, 20835, 3551, 5342, 13133, 2057, 11488, 1167, 5474, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 3780, 1128, 1325, 1435, 10262, 1352, 5819, 1125, 11123, 1186, 9400, 1167, 1915, 27115, 8623, 159, 3118, 29892, 1194, 3780, 1128, 1325, 1435, 119, 3694, 5379, 1125, 1548, 4390, 192, 1125, 1158, 6522, 2944, 3418, 1125, 12741, 1857, 8590, 1105, 9665, 1186, 488, 124, 132, 130, 127, 2356, 224, 1232, 4038, 1186, 7892, 1214, 1175, 3780, 1128, 1325, 1435, 1496, 4284, 29892, 8403, 1125, 20204, 1306, 1472, 190, 31125, 1186, 488, 124, 132, 132, 123, 2356, 3780, 1128, 1325, 1435, 119, 4284, 29892, 8403, 1125, 1248, 1398, 1202, 11978, 31125, 1186, 488, 125, 123, 123, 132, 8273, 7359, 1194, 3780, 1128, 194, 1435, 119, 3418, 26859, 1354, 1125, 29307, 1461, 1266, 1487, 1159, 9665, 1186, 488, 124, 132, 131, 125, 2356, 1598, 8865, 2133, 3683, 3694, 8403, 1125, 1643, 1202, 1627, 5563, 2138, 172, 2630, 5305, 3418, 1125, 13934, 29294, 1104, 9665, 1186, 488, 124, 132, 128, 127, 2356, 3780, 1128, 1325, 1435, 119, 30882, 14898, 1125, 19570, 3985, 11162, 9665, 1186, 488, 124, 132, 126, 128, 2356, 18628, 1135, 5343, 119, 3694, 9400, 1125, 6982, 1170, 1335, 5242, 1106, 3599, 2720, 1125, 3699, 28688, 1321, 12264, 2360, 9665, 1186, 488, 125, 123, 124, 124, 2356, 3780, 1128, 1325, 1435, 119, 3694, 9400, 1125, 1165, 2950, 1125, 11531, 119, 3418, 2720, 1125, 15293, 3004, 4978, 6868, 2610, 1190, 9665, 1186, 488, 125, 123, 124, 128, 13699, 1153, 1460, 1194, 3780, 1128, 194, 1435, 119, 9912, 1125, 7585, 9601, 1186, 488, 124, 132, 131, 123, 1188, 17884, 1715, 1317, 6372, 15826, 2740, 1194, 3780, 1128, 194, 1435, 119, 3274, 1125, 4560, 182, 4977, 13886, 2356, 3780, 3683, 3274, 1125, 2761, 1115, 30532, 1354, 19778, 1186, 488, 124, 132, 129, 132, 1167, 9144, 1261, 1186, 488, 124, 132, 130, 125, 1388, 3681, 4354, 1194, 3780, 3683, 6030, 1304, 29741, 2397, 4782, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1227, 22098, 2038, 1125, 22083, 15643, 22566, 16158, 1132, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 5863, 1198, 181, 4744, 1167, 27761, 1108, 5260, 157, 4735, 9665, 1170, 6749, 2330, 30181, 1194, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1410, 13105, 1266, 1399, 5004, 1300, 26903, 1192, 16026, 3506, 2898, 1135, 1248, 4830, 1812, 6774, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 3274, 2482, 1165, 2695, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 4086, 1929, 1325, 25095, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 13565, 16939, 189, 6479, 5763, 23986, 8969, 1186, 488, 124, 132, 126, 126, 5004, 1313, 1158, 30882, 24885, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 16003, 1479, 13430, 1128, 5004, 1300, 26903, 488, 9665, 1170, 10674, 1128, 1325, 1342, 1346, 15038, 1125, 4861, 1322, 14657, 2314, 8969, 1186, 488, 125, 123, 125, 123, 1300, 26903, 19665, 2621, 1388, 27884, 1194, 2899, 162, 2133, 1128, 1325, 1435, 3031, 1189, 2704, 1125, 6278, 2513, 1215, 1158, 2438, 1373, 1232, 19047, 1325, 5853, 5006, 10674, 1128, 1325, 1435, 119, 14514, 1125, 14225, 3851, 2532, 1199, 1313, 1282, 29741, 15321, 10674, 1128, 1325, 1435, 1299, 1170, 3694, 1186, 9400, 1227, 3418, 22256, 1517, 1808, 5623, 1104, 1539, 8816, 1175, 125, 123, 123, 132, 1576, 114, 32001, 1424, 32000, 20036, 24623, 3780, 1128, 1325, 1435, 10262, 1352, 5819, 1125, 11123, 1186, 9400, 1167, 1915, 27115, 8623, 159, 3118, 29892, 1194, 3780, 1128, 1325, 1435, 119, 3694, 5379, 1125, 1548, 4390, 192, 1125, 1158, 6522, 2944, 3418, 1125, 12741, 1857, 8590, 1105, 9665, 1186, 488, 124, 132, 130, 127, 2356, 224, 1232, 4038, 1186, 7892, 1214, 1175, 3780, 1128, 1325, 1435, 1496, 4284, 29892, 8403, 1125, 20204, 1306, 1472, 190, 31125, 1186, 488, 124, 132, 132, 123, 2356, 3780, 1128, 1325, 1435, 119, 4284, 29892, 8403, 1125, 1248, 1398, 1202, 11978, 31125, 1186, 488, 125, 123, 123, 132, 8273, 7359, 1194, 3780, 1128, 194, 1435, 119, 3418, 26859, 1354, 1125, 29307, 1461, 1266, 1487, 1159, 9665, 1186, 488, 124, 132, 131, 125, 2356, 1598, 8865, 2133, 3683, 3694, 8403, 1125, 1643, 1202, 1627, 5563, 2138, 172, 2630, 5305, 3418, 1125, 13934, 29294, 1104, 9665, 1186, 488, 124, 132, 128, 127, 2356, 3780, 1128, 1325, 1435, 119, 30882, 14898, 1125, 19570, 3985, 11162, 9665, 1186, 488, 124, 132, 126, 128, 2356, 18628, 1135, 5343, 119, 3694, 9400, 1125, 6982, 1170, 1335, 5242, 1106, 3599, 2720, 1125, 3699, 28688, 1321, 12264, 2360, 9665, 1186, 488, 125, 123, 124, 124, 2356, 3780, 1128, 1325, 1435, 119, 3694, 9400, 1125, 1165, 2950, 1125, 11531, 119, 3418, 2720, 1125, 15293, 3004, 4978, 6868, 2610, 1190, 9665, 1186, 488, 125, 123, 124, 128, 13699, 1153, 1460, 1194, 3780, 1128, 194, 1435, 119, 9912, 1125, 7585, 9601, 1186, 488, 124, 132, 131, 123, 1188, 17884, 1715, 1317, 6372, 15826, 2740, 1194, 3780, 1128, 194, 1435, 119, 3274, 1125, 4560, 182, 4977, 13886, 2356, 3780, 3683, 3274, 1125, 2761, 1115, 30532, 1354, 19778, 1186, 488, 124, 132, 129, 132, 1167, 9144, 1261, 1186, 488, 124, 132, 130, 125, 1388, 3681, 4354, 1194, 3780, 3683, 6030, 1304, 29741, 2397, 4782, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1227, 22098, 2038, 1125, 22083, 15643, 22566, 16158, 1132, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 5863, 1198, 181, 4744, 1167, 27761, 1108, 5260, 157, 4735, 9665, 1170, 6749, 2330, 30181, 1194, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1410, 13105, 1266, 1399, 5004, 1300, 26903, 1192, 16026, 3506, 2898, 1135, 1248, 4830, 1812, 6774, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 3274, 2482, 1165, 2695, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 4086, 1929, 1325, 25095, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 13565, 16939, 189, 6479, 5763, 23986, 8969, 1186, 488, 124, 132, 126, 126, 5004, 1313, 1158, 30882, 24885, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 16003, 1479, 13430, 1128, 5004, 1300, 26903, 488, 9665, 1170, 10674, 1128, 1325, 1342, 1346, 15038, 1125, 4861, 1322, 14657, 2314, 8969, 1186, 488, 125, 123, 125, 123, 1300, 26903, 19665, 2621, 1388, 27884, 1194, 2899, 162, 2133, 1128, 1325, 1435, 3031, 1189, 2704, 1125, 6278, 2513, 1215, 1158, 2438, 1373, 1232, 19047, 1325, 5853, 5006, 10674, 1128, 1325, 1435, 119, 14514, 1125, 14225, 3851, 2532, 1199, 1313, 1282, 29741, 15321, 10674, 1128, 1325, 1435, 1299, 1170, 3694, 1186, 9400, 1227, 3418, 22256, 1517, 1808, 5623, 1104, 1539, 8816, 1175, 125, 123, 123, 132, 1576, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 3780, 1128, 1325, 1435, 10262, 1352, 5819, 1125, 11123, 1186, 9400, 1167, 1915, 27115, 8623, 159, 3118, 29892, 1194, 3780, 1128, 1325, 1435, 119, 3694, 5379, 1125, 1548, 4390, 192, 1125, 1158, 6522, 2944, 3418, 1125, 12741, 1857, 8590, 1105, 9665, 1186, 488, 124, 132, 130, 127, 2356, 224, 1232, 4038, 1186, 7892, 1214, 1175, 3780, 1128, 1325, 1435, 1496, 4284, 29892, 8403, 1125, 20204, 1306, 1472, 190, 31125, 1186, 488, 124, 132, 132, 123, 2356, 3780, 1128, 1325, 1435, 119, 4284, 29892, 8403, 1125, 1248, 1398, 1202, 11978, 31125, 1186, 488, 125, 123, 123, 132, 8273, 7359, 1194, 3780, 1128, 194, 1435, 119, 3418, 26859, 1354, 1125, 29307, 1461, 1266, 1487, 1159, 9665, 1186, 488, 124, 132, 131, 125, 2356, 1598, 8865, 2133, 3683, 3694, 8403, 1125, 1643, 1202, 1627, 5563, 2138, 172, 2630, 5305, 3418, 1125, 13934, 29294, 1104, 9665, 1186, 488, 124, 132, 128, 127, 2356, 3780, 1128, 1325, 1435, 119, 30882, 14898, 1125, 19570, 3985, 11162, 9665, 1186, 488, 124, 132, 126, 128, 2356, 18628, 1135, 5343, 119, 3694, 9400, 1125, 6982, 1170, 1335, 5242, 1106, 3599, 2720, 1125, 3699, 28688, 1321, 12264, 2360, 9665, 1186, 488, 125, 123, 124, 124, 2356, 3780, 1128, 1325, 1435, 119, 3694, 9400, 1125, 1165, 2950, 1125, 11531, 119, 3418, 2720, 1125, 15293, 3004, 4978, 6868, 2610, 1190, 9665, 1186, 488, 125, 123, 124, 128, 13699, 1153, 1460, 1194, 3780, 1128, 194, 1435, 119, 9912, 1125, 7585, 9601, 1186, 488, 124, 132, 131, 123, 1188, 17884, 1715, 1317, 6372, 15826, 2740, 1194, 3780, 1128, 194, 1435, 119, 3274, 1125, 4560, 182, 4977, 13886, 2356, 3780, 3683, 3274, 1125, 2761, 1115, 30532, 1354, 19778, 1186, 488, 124, 132, 129, 132, 1167, 9144, 1261, 1186, 488, 124, 132, 130, 125, 1388, 3681, 4354, 1194, 3780, 3683, 6030, 1304, 29741, 2397, 4782, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1227, 22098, 2038, 1125, 22083, 15643, 22566, 16158, 1132, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 6030, 1125, 5863, 1198, 181, 4744, 1167, 27761, 1108, 5260, 157, 4735, 9665, 1170, 6749, 2330, 30181, 1194, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1410, 13105, 1266, 1399, 5004, 1300, 26903, 1192, 16026, 3506, 2898, 1135, 1248, 4830, 1812, 6774, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 3274, 2482, 1165, 2695, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 1227, 4086, 1929, 1325, 25095, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 13565, 16939, 189, 6479, 5763, 23986, 8969, 1186, 488, 124, 132, 126, 126, 5004, 1313, 1158, 30882, 24885, 488, 2356, 3780, 1128, 1325, 1435, 119, 15038, 1125, 1918, 1276, 172, 1171, 1135, 1352, 1265, 1488, 1141, 5004, 1300, 26903, 488, 9665, 1170, 488, 2356, 3780, 1128, 194, 1435, 119, 15038, 16003, 1479, 13430, 1128, 5004, 1300, 26903, 488, 9665, 1170, 10674, 1128, 1325, 1342, 1346, 15038, 1125, 4861, 1322, 14657, 2314, 8969, 1186, 488, 125, 123, 125, 123, 1300, 26903, 19665, 2621, 1388, 27884, 1194, 2899, 162, 2133, 1128, 1325, 1435, 3031, 1189, 2704, 1125, 6278, 2513, 1215, 1158, 2438, 1373, 1232, 19047, 1325, 5853, 5006, 10674, 1128, 1325, 1435, 119, 14514, 1125, 14225, 3851, 2532, 1199, 1313, 1282, 29741, 15321, 10674, 1128, 1325, 1435, 1299, 1170, 3694, 1186, 9400, 1227, 3418, 22256, 1517, 1808, 5623, 1104, 1539, 8816, 1175, 125, 123, 123, 132, 1576, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 155, 3915, 25428, 28439, 1538, 180, 28050, 5252, 1170, 488, 128, 2829, 488, 124, 132, 128, 131, 119, 1299, 1189, 19166, 24610, 1768, 1299, 6113, 1197, 11925, 12202, 7418, 1117, 2942, 1125, 1282, 13221, 1125, 15521, 1539, 1219, 2966, 14023, 6417, 4134, 106, 488, 124, 132, 131, 123, 1257, 1548, 28756, 1304, 2601, 4316, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 125, 1257, 11265, 197, 5363, 1125, 15521, 2397, 9071, 106, 488, 124, 132, 131, 125, 1257, 1808, 17943, 13375, 1227, 8371, 10468, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 126, 1257, 27716, 1590, 3559, 4875, 1915, 1186, 11624, 1107, 1318, 3419, 1125, 16855, 1200, 1511, 1977, 106, 488, 124, 132, 131, 127, 1257, 1548, 1173, 1475, 1197, 2905, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 127, 1257, 22462, 2178, 1317, 1152, 3382, 24130, 1125, 15521, 1539, 1219, 2966, 1257, 7670, 20036, 25081, 106, 488, 124, 132, 131, 128, 1257, 4138, 1954, 1836, 19231, 5611, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 129, 1257, 1198, 2163, 184, 1125, 5450, 5578, 20169, 14504, 106, 488, 124, 132, 131, 129, 1257, 15260, 1485, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 131, 1257, 2576, 4303, 1112, 1266, 1635, 1125, 23823, 7346, 1180, 23194, 488, 124, 132, 131, 131, 1257, 1814, 1913, 16834, 1741, 1125, 26518, 19828, 2835, 257, 184, 106, 488, 124, 132, 131, 131, 1257, 3559, 21943, 1125, 5247, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 123, 1257, 15100, 1233, 1651, 1626, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 124, 1257, 12800, 1433, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 127, 1257, 2576, 1686, 2160, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 129, 1257, 27585, 1288, 3811, 1408, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 1643, 6411, 1517, 1378, 6111, 12132, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 12548, 2714, 3020, 1125, 8415, 1141, 5371, 193, 1541, 5007, 23945, 11473, 1188, 1158, 14022, 1260, 488, 125, 123, 123, 128, 1257, 2576, 148, 193, 3047, 1227, 3937, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 129, 1257, 1643, 1252, 1415, 5044, 1303, 1186, 2069, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 124, 123, 1257, 31100, 1125, 18207, 3675, 1242, 1141, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2720, 1125, 9452, 8156, 1186, 2829, 488, 124, 132, 128, 131, 32001, 1424, 32000, 20036, 1566, 3915, 25428, 28439, 1538, 180, 28050, 5252, 1170, 488, 128, 2829, 488, 124, 132, 128, 131, 119, 1299, 1189, 19166, 24610, 1768, 1299, 6113, 1197, 11925, 12202, 7418, 1117, 2942, 1125, 1282, 13221, 1125, 15521, 1539, 1219, 2966, 14023, 6417, 4134, 106, 488, 124, 132, 131, 123, 1257, 1548, 28756, 1304, 2601, 4316, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 125, 1257, 11265, 197, 5363, 1125, 15521, 2397, 9071, 106, 488, 124, 132, 131, 125, 1257, 1808, 17943, 13375, 1227, 8371, 10468, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 126, 1257, 27716, 1590, 3559, 4875, 1915, 1186, 11624, 1107, 1318, 3419, 1125, 16855, 1200, 1511, 1977, 106, 488, 124, 132, 131, 127, 1257, 1548, 1173, 1475, 1197, 2905, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 127, 1257, 22462, 2178, 1317, 1152, 3382, 24130, 1125, 15521, 1539, 1219, 2966, 1257, 7670, 20036, 25081, 106, 488, 124, 132, 131, 128, 1257, 4138, 1954, 1836, 19231, 5611, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 129, 1257, 1198, 2163, 184, 1125, 5450, 5578, 20169, 14504, 106, 488, 124, 132, 131, 129, 1257, 15260, 1485, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 131, 1257, 2576, 4303, 1112, 1266, 1635, 1125, 23823, 7346, 1180, 23194, 488, 124, 132, 131, 131, 1257, 1814, 1913, 16834, 1741, 1125, 26518, 19828, 2835, 257, 184, 106, 488, 124, 132, 131, 131, 1257, 3559, 21943, 1125, 5247, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 123, 1257, 15100, 1233, 1651, 1626, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 124, 1257, 12800, 1433, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 127, 1257, 2576, 1686, 2160, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 129, 1257, 27585, 1288, 3811, 1408, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 1643, 6411, 1517, 1378, 6111, 12132, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 12548, 2714, 3020, 1125, 8415, 1141, 5371, 193, 1541, 5007, 23945, 11473, 1188, 1158, 14022, 1260, 488, 125, 123, 123, 128, 1257, 2576, 148, 193, 3047, 1227, 3937, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 129, 1257, 1643, 1252, 1415, 5044, 1303, 1186, 2069, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 124, 123, 1257, 31100, 1125, 18207, 3675, 1242, 1141, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2720, 1125, 9452, 8156, 1186, 2829, 488, 124, 132, 128, 131, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1566, 3915, 25428, 28439, 1538, 180, 28050, 5252, 1170, 488, 128, 2829, 488, 124, 132, 128, 131, 119, 1299, 1189, 19166, 24610, 1768, 1299, 6113, 1197, 11925, 12202, 7418, 1117, 2942, 1125, 1282, 13221, 1125, 15521, 1539, 1219, 2966, 14023, 6417, 4134, 106, 488, 124, 132, 131, 123, 1257, 1548, 28756, 1304, 2601, 4316, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 125, 1257, 11265, 197, 5363, 1125, 15521, 2397, 9071, 106, 488, 124, 132, 131, 125, 1257, 1808, 17943, 13375, 1227, 8371, 10468, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 126, 1257, 27716, 1590, 3559, 4875, 1915, 1186, 11624, 1107, 1318, 3419, 1125, 16855, 1200, 1511, 1977, 106, 488, 124, 132, 131, 127, 1257, 1548, 1173, 1475, 1197, 2905, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 127, 1257, 22462, 2178, 1317, 1152, 3382, 24130, 1125, 15521, 1539, 1219, 2966, 1257, 7670, 20036, 25081, 106, 488, 124, 132, 131, 128, 1257, 4138, 1954, 1836, 19231, 5611, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 129, 1257, 1198, 2163, 184, 1125, 5450, 5578, 20169, 14504, 106, 488, 124, 132, 131, 129, 1257, 15260, 1485, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 131, 131, 1257, 2576, 4303, 1112, 1266, 1635, 1125, 23823, 7346, 1180, 23194, 488, 124, 132, 131, 131, 1257, 1814, 1913, 16834, 1741, 1125, 26518, 19828, 2835, 257, 184, 106, 488, 124, 132, 131, 131, 1257, 3559, 21943, 1125, 5247, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 123, 1257, 15100, 1233, 1651, 1626, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 124, 1257, 12800, 1433, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 127, 1257, 2576, 1686, 2160, 1125, 15521, 1539, 1219, 2966, 106, 488, 124, 132, 132, 129, 1257, 27585, 1288, 3811, 1408, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 1643, 6411, 1517, 1378, 6111, 12132, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 127, 1257, 12548, 2714, 3020, 1125, 8415, 1141, 5371, 193, 1541, 5007, 23945, 11473, 1188, 1158, 14022, 1260, 488, 125, 123, 123, 128, 1257, 2576, 148, 193, 3047, 1227, 3937, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 123, 129, 1257, 1643, 1252, 1415, 5044, 1303, 1186, 2069, 1125, 15521, 1539, 1219, 2966, 106, 488, 125, 123, 124, 123, 1257, 31100, 1125, 18207, 3675, 1242, 1141, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2720, 1125, 9452, 8156, 1186, 2829, 488, 124, 132, 128, 131, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 14628, 1766, 16154, 1299, 1189, 7433, 1125, 12267, 1125, 1158, 4446, 1197, 18252, 1124, 1146, 1431, 172, 2596, 1768, 9016, 5582, 2075, 14360, 1309, 10276, 6666, 1313, 1158, 6233, 3788, 10641, 1227, 8030, 1125, 23430, 1167, 1125, 1282, 31348, 2487, 8826, 14360, 1186, 1539, 4994, 1643, 5860, 16074, 1309, 10276, 5209, 1186, 4159, 1299, 1170, 18252, 25093, 10816, 4698, 196, 1766, 16154, 1185, 5597, 5245, 4023, 151, 2038, 1304, 4870, 243, 1887, 5532, 2038, 1197, 14360, 1167, 2604, 6235, 12928, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 6123, 1126, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 1671, 121, 25022, 1475, 1673, 1671, 121, 6709, 25022, 1475, 106, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1962, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1114, 6996, 1117, 180, 1352, 1322, 1142, 28086, 1155, 4736, 1766, 16154, 13403, 1174, 21216, 3190, 193, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 1273, 1168, 22887, 3016, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 106, 4736, 1766, 16154, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 1111, 2642, 1475, 1462, 1120, 106, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 195, 1221, 7425, 6472, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 106, 4736, 1766, 16154, 14689, 196, 1479, 26824, 6472, 4736, 1766, 16154, 1223, 2835, 1514, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 106, 4736, 1766, 16154, 13327, 6472, 4736, 1766, 16154, 13403, 1174, 1180, 6472, 4736, 1766, 16154, 6928, 1331, 180, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 25475, 1220, 6123, 1126, 106, 4736, 1766, 16154, 1185, 5597, 5245, 6574, 12359, 3190, 193, 1155, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1131, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 9323, 1167, 16828, 5825, 2093, 18843, 1112, 12412, 178, 7531, 1403, 1623, 29610, 11246, 16777, 1174, 1124, 1146, 1431, 4735, 32001, 1424, 32000, 20036, 23632, 1766, 16154, 1299, 1189, 7433, 1125, 12267, 1125, 1158, 4446, 1197, 18252, 1124, 1146, 1431, 172, 2596, 1768, 9016, 5582, 2075, 14360, 1309, 10276, 6666, 1313, 1158, 6233, 3788, 10641, 1227, 8030, 1125, 23430, 1167, 1125, 1282, 31348, 2487, 8826, 14360, 1186, 1539, 4994, 1643, 5860, 16074, 1309, 10276, 5209, 1186, 4159, 1299, 1170, 18252, 25093, 10816, 4698, 196, 1766, 16154, 1185, 5597, 5245, 4023, 151, 2038, 1304, 4870, 243, 1887, 5532, 2038, 1197, 14360, 1167, 2604, 6235, 12928, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 6123, 1126, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 1671, 121, 25022, 1475, 1673, 1671, 121, 6709, 25022, 1475, 106, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1962, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1114, 6996, 1117, 180, 1352, 1322, 1142, 28086, 1155, 4736, 1766, 16154, 13403, 1174, 21216, 3190, 193, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 1273, 1168, 22887, 3016, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 106, 4736, 1766, 16154, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 1111, 2642, 1475, 1462, 1120, 106, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 195, 1221, 7425, 6472, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 106, 4736, 1766, 16154, 14689, 196, 1479, 26824, 6472, 4736, 1766, 16154, 1223, 2835, 1514, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 106, 4736, 1766, 16154, 13327, 6472, 4736, 1766, 16154, 13403, 1174, 1180, 6472, 4736, 1766, 16154, 6928, 1331, 180, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 25475, 1220, 6123, 1126, 106, 4736, 1766, 16154, 1185, 5597, 5245, 6574, 12359, 3190, 193, 1155, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1131, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 9323, 1167, 16828, 5825, 2093, 18843, 1112, 12412, 178, 7531, 1403, 1623, 29610, 11246, 16777, 1174, 1124, 1146, 1431, 4735, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23632, 1766, 16154, 1299, 1189, 7433, 1125, 12267, 1125, 1158, 4446, 1197, 18252, 1124, 1146, 1431, 172, 2596, 1768, 9016, 5582, 2075, 14360, 1309, 10276, 6666, 1313, 1158, 6233, 3788, 10641, 1227, 8030, 1125, 23430, 1167, 1125, 1282, 31348, 2487, 8826, 14360, 1186, 1539, 4994, 1643, 5860, 16074, 1309, 10276, 5209, 1186, 4159, 1299, 1170, 18252, 25093, 10816, 4698, 196, 1766, 16154, 1185, 5597, 5245, 4023, 151, 2038, 1304, 4870, 243, 1887, 5532, 2038, 1197, 14360, 1167, 2604, 6235, 12928, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 6123, 1126, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 1671, 121, 25022, 1475, 1673, 1671, 121, 6709, 25022, 1475, 106, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1962, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1114, 6996, 1117, 180, 1352, 1322, 1142, 28086, 1155, 4736, 1766, 16154, 13403, 1174, 21216, 3190, 193, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 1273, 1168, 22887, 3016, 106, 4736, 1766, 16154, 1138, 2451, 1148, 1514, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 106, 4736, 1766, 16154, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 25475, 1220, 106, 20910, 4736, 1766, 16154, 25475, 1220, 2739, 121, 1111, 2642, 1475, 1462, 1120, 106, 4736, 1766, 16154, 1185, 5597, 5245, 106, 4736, 1766, 16154, 1158, 195, 1221, 7425, 6472, 4736, 1766, 16154, 2102, 1221, 1172, 1575, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 106, 4736, 1766, 16154, 14689, 196, 1479, 26824, 6472, 4736, 1766, 16154, 1223, 2835, 1514, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 106, 4736, 1766, 16154, 13327, 6472, 4736, 1766, 16154, 13403, 1174, 1180, 6472, 4736, 1766, 16154, 6928, 1331, 180, 11934, 3015, 488, 2232, 4736, 1766, 16154, 1294, 173, 1221, 7425, 172, 21087, 5339, 1673, 9941, 27342, 8281, 106, 4736, 1766, 16154, 1106, 1342, 1136, 5245, 11560, 1292, 5108, 116, 31821, 3099, 173, 1155, 4736, 1766, 16154, 25475, 1220, 6123, 1126, 106, 4736, 1766, 16154, 1185, 5597, 5245, 6574, 12359, 3190, 193, 1155, 4736, 1766, 16154, 1158, 28469, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 1158, 195, 1221, 7425, 172, 5587, 24336, 12359, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 3494, 1146, 1203, 1514, 10787, 164, 121, 25022, 1475, 1673, 1671, 121, 21211, 25022, 1475, 106, 4736, 1766, 16154, 14689, 196, 29051, 13437, 8559, 1195, 1155, 4736, 1766, 16154, 1223, 2835, 1514, 1306, 1472, 121, 1131, 121, 1673, 7690, 2443, 106, 4736, 1766, 16154, 10460, 2021, 1164, 1724, 1233, 12690, 23194, 4736, 1766, 16154, 13327, 172, 15140, 27734, 5799, 1155, 4736, 1766, 16154, 6928, 1331, 180, 9207, 1918, 1134, 1265, 11934, 3015, 488, 1175, 5395, 4049, 4575, 31446, 16248, 2638, 1160, 1197, 3633, 25145, 116, 1257, 9323, 1167, 16828, 5825, 2093, 18843, 1112, 12412, 178, 7531, 1403, 1623, 29610, 11246, 16777, 1174, 1124, 1146, 1431, 4735, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 18805, 2824, 189, 5319, 1125, 1222, 4876, 1107, 1244, 1281, 2668, 1129, 1300, 1158, 2811, 1196, 488, 1227, 23275, 1125, 22421, 1813, 1186, 1233, 2139, 6867, 1415, 1125, 1222, 4876, 1107, 1244, 1313, 1170, 5927, 1227, 6973, 2487, 1158, 3453, 1299, 16512, 1186, 488, 124, 130, 128, 123, 1215, 488, 10563, 19932, 15970, 6044, 183, 1227, 11320, 6630, 1194, 2272, 8934, 1194, 2029, 1996, 6111, 3833, 20546, 488, 124, 130, 126, 125, 10563, 19932, 15970, 6044, 183, 1227, 11320, 1334, 4048, 7271, 3726, 4280, 3221, 1282, 16162, 1304, 23774, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 1188, 1282, 5320, 2388, 1125, 1252, 2621, 9770, 10563, 19932, 15970, 6044, 183, 5255, 1370, 2782, 11278, 1170, 7685, 25314, 1170, 21285, 1125, 7877, 1317, 3601, 1227, 21285, 1125, 6141, 5162, 5176, 1132, 1500, 8155, 2515, 1125, 1222, 4876, 1107, 1244, 3031, 1186, 20473, 2757, 488, 124, 129, 131, 131, 1256, 1186, 1982, 1189, 2511, 2515, 1125, 7252, 1167, 6459, 1189, 5387, 2028, 1197, 19729, 22572, 121, 4060, 20473, 8045, 1170, 2515, 1167, 1158, 8547, 2517, 1415, 1440, 1357, 14802, 1189, 5923, 1256, 31608, 1125, 5028, 19002, 1357, 5524, 2368, 23774, 1186, 16565, 2517, 1415, 1256, 9682, 1170, 4764, 1125, 18879, 1457, 1643, 14178, 1125, 1158, 20473, 2934, 26667, 1215, 7918, 1186, 13834, 7983, 1194, 10803, 2824, 189, 4054, 2985, 9516, 1277, 1186, 488, 124, 130, 126, 128, 1188, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 1362, 6780, 8157, 27505, 1125, 2324, 18187, 1315, 1357, 1994, 29046, 1215, 9829, 1227, 488, 124, 130, 126, 128, 6044, 183, 1227, 11320, 6630, 1313, 3871, 10004, 1125, 1158, 2824, 189, 4054, 121, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 6119, 172, 1906, 15906, 1188, 1594, 1855, 8803, 3341, 1352, 2538, 1148, 1167, 3341, 1125, 1753, 120, 2628, 1356, 2305, 1643, 6545, 1125, 26581, 1231, 1304, 4303, 19005, 4047, 13682, 1188, 7993, 1148, 4649, 1207, 3663, 1245, 1541, 8370, 488, 124, 130, 127, 132, 119, 18065, 2610, 191, 10935, 1125, 2908, 4215, 1125, 1293, 1118, 31714, 1175, 124, 130, 124, 126, 120, 1496, 3126, 172, 1282, 16162, 1167, 1666, 1117, 8516, 1189, 9771, 1227, 4921, 22698, 1282, 7373, 8985, 1188, 5362, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 5161, 5706, 1188, 5719, 1125, 4421, 1125, 6044, 11686, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 17965, 1129, 27212, 1309, 1964, 1855, 8803, 23210, 1913, 1309, 3013, 24908, 1597, 3511, 187, 1277, 3143, 1125, 1382, 14461, 2770, 12138, 3102, 1104, 1388, 2029, 10424, 9771, 1227, 4921, 22698, 1125, 488, 124, 130, 128, 123, 4253, 24326, 16054, 24908, 1125, 2908, 4215, 2519, 8229, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 19076, 8229, 1188, 1982, 1557, 2021, 2770, 2824, 189, 5319, 1186, 1233, 2139, 6867, 1415, 1188, 1222, 4876, 1107, 21844, 8711, 2985, 21839, 1125, 1158, 1606, 1352, 4166, 4054, 6123, 1366, 1125, 488, 124, 130, 128, 123, 3133, 10019, 1835, 1158, 5820, 1227, 7829, 2466, 1167, 1158, 5820, 21685, 1125, 1158, 1352, 4166, 4054, 1388, 1388, 10803, 1306, 4019, 4054, 5696, 1265, 2934, 27537, 1186, 488, 124, 131, 128, 127, 1215, 1207, 1772, 2805, 5696, 1265, 18259, 1125, 1158, 2824, 189, 4054, 1188, 22058, 5949, 2519, 1197, 2824, 5824, 3939, 1170, 1179, 1558, 1227, 23275, 1125, 22421, 1813, 2856, 18305, 1531, 1272, 1197, 6662, 23162, 6400, 1813, 4131, 1107, 1207, 1131, 261, 1634, 6111, 192, 3045, 3519, 29515, 488, 124, 132, 125, 123, 1158, 2167, 1322, 4054, 4732, 1213, 1214, 7354, 1158, 2167, 1322, 4054, 6604, 2307, 1180, 1673, 20169, 1118, 17094, 2648, 1170, 1865, 2934, 5162, 1215, 1207, 21136, 2915, 1125, 1643, 6214, 2734, 1357, 2934, 3175, 7847, 1256, 13087, 1158, 18714, 15760, 1194, 2101, 3409, 1186, 488, 124, 130, 131, 132, 12498, 1769, 2388, 1186, 13834, 29113, 1170, 1114, 5427, 1204, 1929, 1292, 2114, 14519, 1123, 1370, 1282, 16162, 1304, 23774, 1318, 3643, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 13699, 1384, 2805, 9881, 1186, 488, 124, 131, 124, 129, 1194, 4455, 6746, 1125, 488, 124, 131, 124, 129, 1646, 16625, 23131, 1300, 21839, 1197, 27269, 1584, 6387, 1313, 1158, 10254, 1227, 14248, 7706, 1170, 21285, 1125, 7877, 12412, 3352, 1167, 12412, 197, 2982, 1170, 16294, 1125, 1918, 22122, 1170, 15251, 1125, 1222, 4876, 1107, 5161, 1158, 1116, 1987, 1125, 6141, 121, 3190, 31960, 23587, 1197, 5044, 1104, 1167, 2873, 1833, 1430, 1646, 16625, 23131, 1300, 1170, 2262, 1125, 3663, 5162, 9323, 1167, 5474, 1194, 161, 4166, 4054, 2105, 15958, 1199, 1125, 14248, 2056, 237, 19558, 1188, 1222, 4876, 1107, 1244, 114, 32001, 1424, 32000, 20036, 2608, 2824, 189, 5319, 1125, 1222, 4876, 1107, 1244, 1281, 2668, 1129, 1300, 1158, 2811, 1196, 488, 1227, 23275, 1125, 22421, 1813, 1186, 1233, 2139, 6867, 1415, 1125, 1222, 4876, 1107, 1244, 1313, 1170, 5927, 1227, 6973, 2487, 1158, 3453, 1299, 16512, 1186, 488, 124, 130, 128, 123, 1215, 488, 10563, 19932, 15970, 6044, 183, 1227, 11320, 6630, 1194, 2272, 8934, 1194, 2029, 1996, 6111, 3833, 20546, 488, 124, 130, 126, 125, 10563, 19932, 15970, 6044, 183, 1227, 11320, 1334, 4048, 7271, 3726, 4280, 3221, 1282, 16162, 1304, 23774, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 1188, 1282, 5320, 2388, 1125, 1252, 2621, 9770, 10563, 19932, 15970, 6044, 183, 5255, 1370, 2782, 11278, 1170, 7685, 25314, 1170, 21285, 1125, 7877, 1317, 3601, 1227, 21285, 1125, 6141, 5162, 5176, 1132, 1500, 8155, 2515, 1125, 1222, 4876, 1107, 1244, 3031, 1186, 20473, 2757, 488, 124, 129, 131, 131, 1256, 1186, 1982, 1189, 2511, 2515, 1125, 7252, 1167, 6459, 1189, 5387, 2028, 1197, 19729, 22572, 121, 4060, 20473, 8045, 1170, 2515, 1167, 1158, 8547, 2517, 1415, 1440, 1357, 14802, 1189, 5923, 1256, 31608, 1125, 5028, 19002, 1357, 5524, 2368, 23774, 1186, 16565, 2517, 1415, 1256, 9682, 1170, 4764, 1125, 18879, 1457, 1643, 14178, 1125, 1158, 20473, 2934, 26667, 1215, 7918, 1186, 13834, 7983, 1194, 10803, 2824, 189, 4054, 2985, 9516, 1277, 1186, 488, 124, 130, 126, 128, 1188, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 1362, 6780, 8157, 27505, 1125, 2324, 18187, 1315, 1357, 1994, 29046, 1215, 9829, 1227, 488, 124, 130, 126, 128, 6044, 183, 1227, 11320, 6630, 1313, 3871, 10004, 1125, 1158, 2824, 189, 4054, 121, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 6119, 172, 1906, 15906, 1188, 1594, 1855, 8803, 3341, 1352, 2538, 1148, 1167, 3341, 1125, 1753, 120, 2628, 1356, 2305, 1643, 6545, 1125, 26581, 1231, 1304, 4303, 19005, 4047, 13682, 1188, 7993, 1148, 4649, 1207, 3663, 1245, 1541, 8370, 488, 124, 130, 127, 132, 119, 18065, 2610, 191, 10935, 1125, 2908, 4215, 1125, 1293, 1118, 31714, 1175, 124, 130, 124, 126, 120, 1496, 3126, 172, 1282, 16162, 1167, 1666, 1117, 8516, 1189, 9771, 1227, 4921, 22698, 1282, 7373, 8985, 1188, 5362, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 5161, 5706, 1188, 5719, 1125, 4421, 1125, 6044, 11686, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 17965, 1129, 27212, 1309, 1964, 1855, 8803, 23210, 1913, 1309, 3013, 24908, 1597, 3511, 187, 1277, 3143, 1125, 1382, 14461, 2770, 12138, 3102, 1104, 1388, 2029, 10424, 9771, 1227, 4921, 22698, 1125, 488, 124, 130, 128, 123, 4253, 24326, 16054, 24908, 1125, 2908, 4215, 2519, 8229, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 19076, 8229, 1188, 1982, 1557, 2021, 2770, 2824, 189, 5319, 1186, 1233, 2139, 6867, 1415, 1188, 1222, 4876, 1107, 21844, 8711, 2985, 21839, 1125, 1158, 1606, 1352, 4166, 4054, 6123, 1366, 1125, 488, 124, 130, 128, 123, 3133, 10019, 1835, 1158, 5820, 1227, 7829, 2466, 1167, 1158, 5820, 21685, 1125, 1158, 1352, 4166, 4054, 1388, 1388, 10803, 1306, 4019, 4054, 5696, 1265, 2934, 27537, 1186, 488, 124, 131, 128, 127, 1215, 1207, 1772, 2805, 5696, 1265, 18259, 1125, 1158, 2824, 189, 4054, 1188, 22058, 5949, 2519, 1197, 2824, 5824, 3939, 1170, 1179, 1558, 1227, 23275, 1125, 22421, 1813, 2856, 18305, 1531, 1272, 1197, 6662, 23162, 6400, 1813, 4131, 1107, 1207, 1131, 261, 1634, 6111, 192, 3045, 3519, 29515, 488, 124, 132, 125, 123, 1158, 2167, 1322, 4054, 4732, 1213, 1214, 7354, 1158, 2167, 1322, 4054, 6604, 2307, 1180, 1673, 20169, 1118, 17094, 2648, 1170, 1865, 2934, 5162, 1215, 1207, 21136, 2915, 1125, 1643, 6214, 2734, 1357, 2934, 3175, 7847, 1256, 13087, 1158, 18714, 15760, 1194, 2101, 3409, 1186, 488, 124, 130, 131, 132, 12498, 1769, 2388, 1186, 13834, 29113, 1170, 1114, 5427, 1204, 1929, 1292, 2114, 14519, 1123, 1370, 1282, 16162, 1304, 23774, 1318, 3643, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 13699, 1384, 2805, 9881, 1186, 488, 124, 131, 124, 129, 1194, 4455, 6746, 1125, 488, 124, 131, 124, 129, 1646, 16625, 23131, 1300, 21839, 1197, 27269, 1584, 6387, 1313, 1158, 10254, 1227, 14248, 7706, 1170, 21285, 1125, 7877, 12412, 3352, 1167, 12412, 197, 2982, 1170, 16294, 1125, 1918, 22122, 1170, 15251, 1125, 1222, 4876, 1107, 5161, 1158, 1116, 1987, 1125, 6141, 121, 3190, 31960, 23587, 1197, 5044, 1104, 1167, 2873, 1833, 1430, 1646, 16625, 23131, 1300, 1170, 2262, 1125, 3663, 5162, 9323, 1167, 5474, 1194, 161, 4166, 4054, 2105, 15958, 1199, 1125, 14248, 2056, 237, 19558, 1188, 1222, 4876, 1107, 1244, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2608, 2824, 189, 5319, 1125, 1222, 4876, 1107, 1244, 1281, 2668, 1129, 1300, 1158, 2811, 1196, 488, 1227, 23275, 1125, 22421, 1813, 1186, 1233, 2139, 6867, 1415, 1125, 1222, 4876, 1107, 1244, 1313, 1170, 5927, 1227, 6973, 2487, 1158, 3453, 1299, 16512, 1186, 488, 124, 130, 128, 123, 1215, 488, 10563, 19932, 15970, 6044, 183, 1227, 11320, 6630, 1194, 2272, 8934, 1194, 2029, 1996, 6111, 3833, 20546, 488, 124, 130, 126, 125, 10563, 19932, 15970, 6044, 183, 1227, 11320, 1334, 4048, 7271, 3726, 4280, 3221, 1282, 16162, 1304, 23774, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 1188, 1282, 5320, 2388, 1125, 1252, 2621, 9770, 10563, 19932, 15970, 6044, 183, 5255, 1370, 2782, 11278, 1170, 7685, 25314, 1170, 21285, 1125, 7877, 1317, 3601, 1227, 21285, 1125, 6141, 5162, 5176, 1132, 1500, 8155, 2515, 1125, 1222, 4876, 1107, 1244, 3031, 1186, 20473, 2757, 488, 124, 129, 131, 131, 1256, 1186, 1982, 1189, 2511, 2515, 1125, 7252, 1167, 6459, 1189, 5387, 2028, 1197, 19729, 22572, 121, 4060, 20473, 8045, 1170, 2515, 1167, 1158, 8547, 2517, 1415, 1440, 1357, 14802, 1189, 5923, 1256, 31608, 1125, 5028, 19002, 1357, 5524, 2368, 23774, 1186, 16565, 2517, 1415, 1256, 9682, 1170, 4764, 1125, 18879, 1457, 1643, 14178, 1125, 1158, 20473, 2934, 26667, 1215, 7918, 1186, 13834, 7983, 1194, 10803, 2824, 189, 4054, 2985, 9516, 1277, 1186, 488, 124, 130, 126, 128, 1188, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 1362, 6780, 8157, 27505, 1125, 2324, 18187, 1315, 1357, 1994, 29046, 1215, 9829, 1227, 488, 124, 130, 126, 128, 6044, 183, 1227, 11320, 6630, 1313, 3871, 10004, 1125, 1158, 2824, 189, 4054, 121, 6780, 8157, 27505, 1125, 2324, 18187, 1214, 6119, 172, 1906, 15906, 1188, 1594, 1855, 8803, 3341, 1352, 2538, 1148, 1167, 3341, 1125, 1753, 120, 2628, 1356, 2305, 1643, 6545, 1125, 26581, 1231, 1304, 4303, 19005, 4047, 13682, 1188, 7993, 1148, 4649, 1207, 3663, 1245, 1541, 8370, 488, 124, 130, 127, 132, 119, 18065, 2610, 191, 10935, 1125, 2908, 4215, 1125, 1293, 1118, 31714, 1175, 124, 130, 124, 126, 120, 1496, 3126, 172, 1282, 16162, 1167, 1666, 1117, 8516, 1189, 9771, 1227, 4921, 22698, 1282, 7373, 8985, 1188, 5362, 1318, 2824, 189, 4054, 1188, 1222, 4876, 1107, 5161, 5706, 1188, 5719, 1125, 4421, 1125, 6044, 11686, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 17965, 1129, 27212, 1309, 1964, 1855, 8803, 23210, 1913, 1309, 3013, 24908, 1597, 3511, 187, 1277, 3143, 1125, 1382, 14461, 2770, 12138, 3102, 1104, 1388, 2029, 10424, 9771, 1227, 4921, 22698, 1125, 488, 124, 130, 128, 123, 4253, 24326, 16054, 24908, 1125, 2908, 4215, 2519, 8229, 1352, 2538, 1148, 1167, 1125, 1753, 120, 2628, 1356, 196, 19076, 8229, 1188, 1982, 1557, 2021, 2770, 2824, 189, 5319, 1186, 1233, 2139, 6867, 1415, 1188, 1222, 4876, 1107, 21844, 8711, 2985, 21839, 1125, 1158, 1606, 1352, 4166, 4054, 6123, 1366, 1125, 488, 124, 130, 128, 123, 3133, 10019, 1835, 1158, 5820, 1227, 7829, 2466, 1167, 1158, 5820, 21685, 1125, 1158, 1352, 4166, 4054, 1388, 1388, 10803, 1306, 4019, 4054, 5696, 1265, 2934, 27537, 1186, 488, 124, 131, 128, 127, 1215, 1207, 1772, 2805, 5696, 1265, 18259, 1125, 1158, 2824, 189, 4054, 1188, 22058, 5949, 2519, 1197, 2824, 5824, 3939, 1170, 1179, 1558, 1227, 23275, 1125, 22421, 1813, 2856, 18305, 1531, 1272, 1197, 6662, 23162, 6400, 1813, 4131, 1107, 1207, 1131, 261, 1634, 6111, 192, 3045, 3519, 29515, 488, 124, 132, 125, 123, 1158, 2167, 1322, 4054, 4732, 1213, 1214, 7354, 1158, 2167, 1322, 4054, 6604, 2307, 1180, 1673, 20169, 1118, 17094, 2648, 1170, 1865, 2934, 5162, 1215, 1207, 21136, 2915, 1125, 1643, 6214, 2734, 1357, 2934, 3175, 7847, 1256, 13087, 1158, 18714, 15760, 1194, 2101, 3409, 1186, 488, 124, 130, 131, 132, 12498, 1769, 2388, 1186, 13834, 29113, 1170, 1114, 5427, 1204, 1929, 1292, 2114, 14519, 1123, 1370, 1282, 16162, 1304, 23774, 1318, 3643, 2824, 189, 4054, 1188, 1222, 4876, 1107, 1244, 13699, 1384, 2805, 9881, 1186, 488, 124, 131, 124, 129, 1194, 4455, 6746, 1125, 488, 124, 131, 124, 129, 1646, 16625, 23131, 1300, 21839, 1197, 27269, 1584, 6387, 1313, 1158, 10254, 1227, 14248, 7706, 1170, 21285, 1125, 7877, 12412, 3352, 1167, 12412, 197, 2982, 1170, 16294, 1125, 1918, 22122, 1170, 15251, 1125, 1222, 4876, 1107, 5161, 1158, 1116, 1987, 1125, 6141, 121, 3190, 31960, 23587, 1197, 5044, 1104, 1167, 2873, 1833, 1430, 1646, 16625, 23131, 1300, 1170, 2262, 1125, 3663, 5162, 9323, 1167, 5474, 1194, 161, 4166, 4054, 2105, 15958, 1199, 1125, 14248, 2056, 237, 19558, 1188, 1222, 4876, 1107, 1244, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 26294, 1304, 160, 1148, 1125, 14642, 5821, 5288, 17440, 3113, 9905, 14642, 5821, 3685, 1186, 10816, 116, 1299, 1318, 26294, 13970, 1125, 1158, 10538, 28808, 1125, 14642, 5821, 5288, 1186, 17490, 22979, 1158, 1557, 25477, 1314, 1125, 24565, 185, 2620, 1405, 3113, 1125, 15596, 1462, 1427, 191, 1175, 124, 123, 123, 123, 120, 124, 123, 127, 129, 1496, 1736, 20447, 7886, 1125, 1158, 10538, 1740, 1154, 3476, 1469, 1594, 31126, 1170, 1557, 1800, 1196, 1254, 182, 1347, 21073, 21979, 4060, 26294, 1299, 14765, 1197, 1408, 15998, 3027, 1125, 1158, 4927, 1185, 1752, 1460, 20020, 119, 1167, 7457, 29721, 1170, 10977, 1227, 14514, 1125, 1158, 1557, 7268, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 1125, 1325, 8272, 14693, 8273, 2119, 1158, 1408, 17874, 1197, 22542, 4546, 1813, 1186, 6844, 1357, 1281, 16552, 6365, 1227, 1270, 5892, 10803, 12770, 11316, 25158, 1567, 12770, 11316, 1299, 1282, 13221, 1227, 13822, 1125, 14642, 5821, 5288, 1167, 3110, 1197, 4092, 1835, 488, 124, 125, 127, 126, 1167, 488, 124, 125, 127, 132, 121, 3450, 17904, 1188, 1318, 18318, 4236, 1577, 2009, 1125, 1158, 4546, 15294, 1185, 1752, 1460, 1357, 8135, 3146, 1303, 1186, 17490, 1188, 3862, 1125, 488, 124, 125, 123, 123, 3997, 121, 3450, 1281, 20675, 8222, 1408, 12973, 21396, 7808, 1965, 1215, 1318, 4124, 3607, 1408, 28474, 1125, 1158, 21272, 1167, 2368, 2251, 2291, 1188, 1275, 1326, 4649, 1318, 13498, 29462, 1167, 1114, 1371, 3603, 2821, 2178, 2519, 6245, 1232, 7513, 3798, 3450, 1299, 2072, 1408, 2810, 8012, 1170, 13822, 1125, 14642, 5821, 5288, 1288, 1275, 3708, 2042, 1382, 1215, 4070, 25970, 5610, 4546, 1813, 2063, 1134, 4658, 1189, 10331, 21162, 1768, 5004, 4162, 1318, 6018, 4875, 7031, 119, 1317, 1622, 28540, 21305, 1170, 4051, 1115, 1358, 1468, 1167, 7962, 30720, 20319, 1125, 5719, 2079, 1170, 13822, 120, 1511, 3561, 3601, 1125, 1158, 7751, 1125, 1594, 2499, 2042, 4819, 1469, 1318, 5715, 18074, 10977, 1199, 1318, 20869, 19986, 1965, 1256, 5518, 1318, 12434, 1125, 7088, 10866, 121, 1548, 13822, 3572, 1378, 1188, 1982, 1971, 4975, 1158, 5690, 4058, 1197, 14115, 11170, 3392, 2487, 9346, 119, 1215, 1189, 11373, 1125, 3871, 3156, 1227, 1904, 3301, 1362, 1227, 15688, 8155, 1844, 1125, 22488, 1313, 1170, 1270, 5892, 1207, 4546, 1813, 26741, 1790, 1473, 1197, 3080, 2518, 1167, 1125, 31455, 14115, 28370, 174, 1285, 1299, 27550, 2497, 1167, 3631, 119, 1158, 4786, 6058, 1125, 11437, 22488, 1309, 1170, 4852, 119, 1158, 1352, 23156, 1362, 1197, 13811, 1297, 1768, 7032, 1309, 1170, 13822, 1125, 14642, 5821, 5288, 2666, 1188, 1158, 2768, 1170, 21359, 1836, 1167, 2072, 1282, 23821, 15357, 1125, 1158, 10538, 1740, 1154, 3476, 1440, 1357, 13192, 1440, 1921, 120, 7434, 1313, 1158, 4971, 121, 19528, 6018, 4875, 4018, 1303, 1110, 1158, 6425, 1440, 6544, 2519, 31498, 1188, 14462, 1125, 1115, 1591, 1714, 4094, 1125, 14949, 2671, 17333, 1167, 1125, 1466, 5899, 1215, 16042, 1561, 22492, 176, 1188, 11350, 1541, 1125, 1115, 2982, 7925, 1960, 1197, 5247, 6371, 1473, 1227, 2271, 31549, 19565, 1685, 1542, 6387, 1207, 1850, 1196, 7489, 1207, 19608, 3023, 1167, 1170, 6392, 3847, 3450, 16066, 1215, 1594, 19516, 1167, 1594, 29790, 1158, 4546, 15294, 1197, 10538, 1740, 189, 2137, 1125, 1863, 1195, 1285, 1125, 2801, 1362, 5519, 184, 1354, 1297, 3450, 4665, 1318, 13858, 29659, 133, 1189, 1618, 19399, 10293, 6676, 244, 16834, 19410, 244, 2519, 3663, 189, 1278, 1125, 1152, 26178, 15941, 1318, 10923, 1125, 21890, 6957, 1768, 27101, 1318, 3594, 1134, 2100, 1125, 1540, 1214, 2335, 10293, 1408, 13938, 1126, 1309, 1170, 1618, 1148, 7011, 1469, 1318, 3343, 1512, 16834, 1711, 14192, 1303, 1188, 1158, 23636, 121, 1643, 1557, 25477, 1314, 1110, 1170, 16021, 3090, 9144, 1195, 10898, 2290, 1170, 1618, 19399, 121, 3450, 11642, 1214, 1282, 5943, 120, 2266, 1141, 2079, 1170, 4392, 1256, 14534, 1594, 1600, 1125, 1158, 2274, 1309, 10276, 1971, 1314, 2290, 23887, 2869, 1965, 1313, 1189, 31110, 19011, 1199, 1167, 7331, 1125, 11963, 9598, 6280, 2274, 8632, 1571, 30311, 18912, 1140, 1234, 1167, 9734, 17993, 13301, 1170, 3494, 1227, 2306, 1125, 1594, 1618, 19399, 26785, 1300, 1158, 7027, 8155, 13822, 1125, 14642, 5821, 5288, 1110, 24772, 1158, 11641, 1197, 16219, 1346, 1197, 1754, 2869, 1346, 1197, 1962, 1205, 3948, 1346, 1167, 1197, 11937, 1125, 13834, 15320, 1214, 1469, 1318, 17920, 31789, 18726, 1124, 12302, 1125, 1158, 22663, 1313, 1158, 9640, 13624, 1227, 26851, 6298, 1110, 6340, 244, 1188, 7015, 3389, 1158, 13498, 1125, 1816, 26294, 1357, 1110, 4701, 31481, 1282, 2991, 1132, 1125, 1158, 13498, 30284, 20020, 1256, 1207, 29631, 6175, 1199, 2140, 18318, 6649, 17872, 488, 26328, 1500, 6055, 160, 1377, 21620, 1254, 6271, 6834, 1188, 1158, 3060, 1125, 3089, 1357, 1952, 15177, 1170, 4534, 1282, 2991, 1132, 1125, 1158, 13498, 9943, 3603, 1527, 22203, 3365, 10515, 2130, 5631, 8770, 1256, 2435, 1304, 160, 1148, 1125, 14642, 5821, 5288, 12258, 1281, 16351, 1370, 1309, 1325, 8272, 14693, 1281, 2666, 29721, 1125, 1594, 31925, 1256, 1170, 14514, 1125, 1158, 2959, 1210, 2009, 7031, 2010, 1450, 1313, 1594, 10977, 3719, 244, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 9665, 1186, 488, 124, 132, 126, 130, 11488, 1167, 5474, 17994, 488, 1424, 2003, 1652, 2705, 1243, 1167, 8125, 2104, 1518, 1145, 10645, 1405, 3113, 9905, 14642, 5821, 3685, 119, 27898, 23716, 8980, 3739, 179, 2469, 6760, 14726, 119, 488, 125, 123, 124, 124, 11934, 2652, 11316, 1185, 1752, 1460, 1628, 2652, 11316, 1227, 2271, 31549, 6298, 1628, 2652, 11316, 1186, 17490, 114, 32001, 1424, 32000, 20036, 2895, 26294, 1304, 160, 1148, 1125, 14642, 5821, 5288, 17440, 3113, 9905, 14642, 5821, 3685, 1186, 10816, 116, 1299, 1318, 26294, 13970, 1125, 1158, 10538, 28808, 1125, 14642, 5821, 5288, 1186, 17490, 22979, 1158, 1557, 25477, 1314, 1125, 24565, 185, 2620, 1405, 3113, 1125, 15596, 1462, 1427, 191, 1175, 124, 123, 123, 123, 120, 124, 123, 127, 129, 1496, 1736, 20447, 7886, 1125, 1158, 10538, 1740, 1154, 3476, 1469, 1594, 31126, 1170, 1557, 1800, 1196, 1254, 182, 1347, 21073, 21979, 4060, 26294, 1299, 14765, 1197, 1408, 15998, 3027, 1125, 1158, 4927, 1185, 1752, 1460, 20020, 119, 1167, 7457, 29721, 1170, 10977, 1227, 14514, 1125, 1158, 1557, 7268, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 1125, 1325, 8272, 14693, 8273, 2119, 1158, 1408, 17874, 1197, 22542, 4546, 1813, 1186, 6844, 1357, 1281, 16552, 6365, 1227, 1270, 5892, 10803, 12770, 11316, 25158, 1567, 12770, 11316, 1299, 1282, 13221, 1227, 13822, 1125, 14642, 5821, 5288, 1167, 3110, 1197, 4092, 1835, 488, 124, 125, 127, 126, 1167, 488, 124, 125, 127, 132, 121, 3450, 17904, 1188, 1318, 18318, 4236, 1577, 2009, 1125, 1158, 4546, 15294, 1185, 1752, 1460, 1357, 8135, 3146, 1303, 1186, 17490, 1188, 3862, 1125, 488, 124, 125, 123, 123, 3997, 121, 3450, 1281, 20675, 8222, 1408, 12973, 21396, 7808, 1965, 1215, 1318, 4124, 3607, 1408, 28474, 1125, 1158, 21272, 1167, 2368, 2251, 2291, 1188, 1275, 1326, 4649, 1318, 13498, 29462, 1167, 1114, 1371, 3603, 2821, 2178, 2519, 6245, 1232, 7513, 3798, 3450, 1299, 2072, 1408, 2810, 8012, 1170, 13822, 1125, 14642, 5821, 5288, 1288, 1275, 3708, 2042, 1382, 1215, 4070, 25970, 5610, 4546, 1813, 2063, 1134, 4658, 1189, 10331, 21162, 1768, 5004, 4162, 1318, 6018, 4875, 7031, 119, 1317, 1622, 28540, 21305, 1170, 4051, 1115, 1358, 1468, 1167, 7962, 30720, 20319, 1125, 5719, 2079, 1170, 13822, 120, 1511, 3561, 3601, 1125, 1158, 7751, 1125, 1594, 2499, 2042, 4819, 1469, 1318, 5715, 18074, 10977, 1199, 1318, 20869, 19986, 1965, 1256, 5518, 1318, 12434, 1125, 7088, 10866, 121, 1548, 13822, 3572, 1378, 1188, 1982, 1971, 4975, 1158, 5690, 4058, 1197, 14115, 11170, 3392, 2487, 9346, 119, 1215, 1189, 11373, 1125, 3871, 3156, 1227, 1904, 3301, 1362, 1227, 15688, 8155, 1844, 1125, 22488, 1313, 1170, 1270, 5892, 1207, 4546, 1813, 26741, 1790, 1473, 1197, 3080, 2518, 1167, 1125, 31455, 14115, 28370, 174, 1285, 1299, 27550, 2497, 1167, 3631, 119, 1158, 4786, 6058, 1125, 11437, 22488, 1309, 1170, 4852, 119, 1158, 1352, 23156, 1362, 1197, 13811, 1297, 1768, 7032, 1309, 1170, 13822, 1125, 14642, 5821, 5288, 2666, 1188, 1158, 2768, 1170, 21359, 1836, 1167, 2072, 1282, 23821, 15357, 1125, 1158, 10538, 1740, 1154, 3476, 1440, 1357, 13192, 1440, 1921, 120, 7434, 1313, 1158, 4971, 121, 19528, 6018, 4875, 4018, 1303, 1110, 1158, 6425, 1440, 6544, 2519, 31498, 1188, 14462, 1125, 1115, 1591, 1714, 4094, 1125, 14949, 2671, 17333, 1167, 1125, 1466, 5899, 1215, 16042, 1561, 22492, 176, 1188, 11350, 1541, 1125, 1115, 2982, 7925, 1960, 1197, 5247, 6371, 1473, 1227, 2271, 31549, 19565, 1685, 1542, 6387, 1207, 1850, 1196, 7489, 1207, 19608, 3023, 1167, 1170, 6392, 3847, 3450, 16066, 1215, 1594, 19516, 1167, 1594, 29790, 1158, 4546, 15294, 1197, 10538, 1740, 189, 2137, 1125, 1863, 1195, 1285, 1125, 2801, 1362, 5519, 184, 1354, 1297, 3450, 4665, 1318, 13858, 29659, 133, 1189, 1618, 19399, 10293, 6676, 244, 16834, 19410, 244, 2519, 3663, 189, 1278, 1125, 1152, 26178, 15941, 1318, 10923, 1125, 21890, 6957, 1768, 27101, 1318, 3594, 1134, 2100, 1125, 1540, 1214, 2335, 10293, 1408, 13938, 1126, 1309, 1170, 1618, 1148, 7011, 1469, 1318, 3343, 1512, 16834, 1711, 14192, 1303, 1188, 1158, 23636, 121, 1643, 1557, 25477, 1314, 1110, 1170, 16021, 3090, 9144, 1195, 10898, 2290, 1170, 1618, 19399, 121, 3450, 11642, 1214, 1282, 5943, 120, 2266, 1141, 2079, 1170, 4392, 1256, 14534, 1594, 1600, 1125, 1158, 2274, 1309, 10276, 1971, 1314, 2290, 23887, 2869, 1965, 1313, 1189, 31110, 19011, 1199, 1167, 7331, 1125, 11963, 9598, 6280, 2274, 8632, 1571, 30311, 18912, 1140, 1234, 1167, 9734, 17993, 13301, 1170, 3494, 1227, 2306, 1125, 1594, 1618, 19399, 26785, 1300, 1158, 7027, 8155, 13822, 1125, 14642, 5821, 5288, 1110, 24772, 1158, 11641, 1197, 16219, 1346, 1197, 1754, 2869, 1346, 1197, 1962, 1205, 3948, 1346, 1167, 1197, 11937, 1125, 13834, 15320, 1214, 1469, 1318, 17920, 31789, 18726, 1124, 12302, 1125, 1158, 22663, 1313, 1158, 9640, 13624, 1227, 26851, 6298, 1110, 6340, 244, 1188, 7015, 3389, 1158, 13498, 1125, 1816, 26294, 1357, 1110, 4701, 31481, 1282, 2991, 1132, 1125, 1158, 13498, 30284, 20020, 1256, 1207, 29631, 6175, 1199, 2140, 18318, 6649, 17872, 488, 26328, 1500, 6055, 160, 1377, 21620, 1254, 6271, 6834, 1188, 1158, 3060, 1125, 3089, 1357, 1952, 15177, 1170, 4534, 1282, 2991, 1132, 1125, 1158, 13498, 9943, 3603, 1527, 22203, 3365, 10515, 2130, 5631, 8770, 1256, 2435, 1304, 160, 1148, 1125, 14642, 5821, 5288, 12258, 1281, 16351, 1370, 1309, 1325, 8272, 14693, 1281, 2666, 29721, 1125, 1594, 31925, 1256, 1170, 14514, 1125, 1158, 2959, 1210, 2009, 7031, 2010, 1450, 1313, 1594, 10977, 3719, 244, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 9665, 1186, 488, 124, 132, 126, 130, 11488, 1167, 5474, 17994, 488, 1424, 2003, 1652, 2705, 1243, 1167, 8125, 2104, 1518, 1145, 10645, 1405, 3113, 9905, 14642, 5821, 3685, 119, 27898, 23716, 8980, 3739, 179, 2469, 6760, 14726, 119, 488, 125, 123, 124, 124, 11934, 2652, 11316, 1185, 1752, 1460, 1628, 2652, 11316, 1227, 2271, 31549, 6298, 1628, 2652, 11316, 1186, 17490, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 26294, 1304, 160, 1148, 1125, 14642, 5821, 5288, 17440, 3113, 9905, 14642, 5821, 3685, 1186, 10816, 116, 1299, 1318, 26294, 13970, 1125, 1158, 10538, 28808, 1125, 14642, 5821, 5288, 1186, 17490, 22979, 1158, 1557, 25477, 1314, 1125, 24565, 185, 2620, 1405, 3113, 1125, 15596, 1462, 1427, 191, 1175, 124, 123, 123, 123, 120, 124, 123, 127, 129, 1496, 1736, 20447, 7886, 1125, 1158, 10538, 1740, 1154, 3476, 1469, 1594, 31126, 1170, 1557, 1800, 1196, 1254, 182, 1347, 21073, 21979, 4060, 26294, 1299, 14765, 1197, 1408, 15998, 3027, 1125, 1158, 4927, 1185, 1752, 1460, 20020, 119, 1167, 7457, 29721, 1170, 10977, 1227, 14514, 1125, 1158, 1557, 7268, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 1125, 1325, 8272, 14693, 8273, 2119, 1158, 1408, 17874, 1197, 22542, 4546, 1813, 1186, 6844, 1357, 1281, 16552, 6365, 1227, 1270, 5892, 10803, 12770, 11316, 25158, 1567, 12770, 11316, 1299, 1282, 13221, 1227, 13822, 1125, 14642, 5821, 5288, 1167, 3110, 1197, 4092, 1835, 488, 124, 125, 127, 126, 1167, 488, 124, 125, 127, 132, 121, 3450, 17904, 1188, 1318, 18318, 4236, 1577, 2009, 1125, 1158, 4546, 15294, 1185, 1752, 1460, 1357, 8135, 3146, 1303, 1186, 17490, 1188, 3862, 1125, 488, 124, 125, 123, 123, 3997, 121, 3450, 1281, 20675, 8222, 1408, 12973, 21396, 7808, 1965, 1215, 1318, 4124, 3607, 1408, 28474, 1125, 1158, 21272, 1167, 2368, 2251, 2291, 1188, 1275, 1326, 4649, 1318, 13498, 29462, 1167, 1114, 1371, 3603, 2821, 2178, 2519, 6245, 1232, 7513, 3798, 3450, 1299, 2072, 1408, 2810, 8012, 1170, 13822, 1125, 14642, 5821, 5288, 1288, 1275, 3708, 2042, 1382, 1215, 4070, 25970, 5610, 4546, 1813, 2063, 1134, 4658, 1189, 10331, 21162, 1768, 5004, 4162, 1318, 6018, 4875, 7031, 119, 1317, 1622, 28540, 21305, 1170, 4051, 1115, 1358, 1468, 1167, 7962, 30720, 20319, 1125, 5719, 2079, 1170, 13822, 120, 1511, 3561, 3601, 1125, 1158, 7751, 1125, 1594, 2499, 2042, 4819, 1469, 1318, 5715, 18074, 10977, 1199, 1318, 20869, 19986, 1965, 1256, 5518, 1318, 12434, 1125, 7088, 10866, 121, 1548, 13822, 3572, 1378, 1188, 1982, 1971, 4975, 1158, 5690, 4058, 1197, 14115, 11170, 3392, 2487, 9346, 119, 1215, 1189, 11373, 1125, 3871, 3156, 1227, 1904, 3301, 1362, 1227, 15688, 8155, 1844, 1125, 22488, 1313, 1170, 1270, 5892, 1207, 4546, 1813, 26741, 1790, 1473, 1197, 3080, 2518, 1167, 1125, 31455, 14115, 28370, 174, 1285, 1299, 27550, 2497, 1167, 3631, 119, 1158, 4786, 6058, 1125, 11437, 22488, 1309, 1170, 4852, 119, 1158, 1352, 23156, 1362, 1197, 13811, 1297, 1768, 7032, 1309, 1170, 13822, 1125, 14642, 5821, 5288, 2666, 1188, 1158, 2768, 1170, 21359, 1836, 1167, 2072, 1282, 23821, 15357, 1125, 1158, 10538, 1740, 1154, 3476, 1440, 1357, 13192, 1440, 1921, 120, 7434, 1313, 1158, 4971, 121, 19528, 6018, 4875, 4018, 1303, 1110, 1158, 6425, 1440, 6544, 2519, 31498, 1188, 14462, 1125, 1115, 1591, 1714, 4094, 1125, 14949, 2671, 17333, 1167, 1125, 1466, 5899, 1215, 16042, 1561, 22492, 176, 1188, 11350, 1541, 1125, 1115, 2982, 7925, 1960, 1197, 5247, 6371, 1473, 1227, 2271, 31549, 19565, 1685, 1542, 6387, 1207, 1850, 1196, 7489, 1207, 19608, 3023, 1167, 1170, 6392, 3847, 3450, 16066, 1215, 1594, 19516, 1167, 1594, 29790, 1158, 4546, 15294, 1197, 10538, 1740, 189, 2137, 1125, 1863, 1195, 1285, 1125, 2801, 1362, 5519, 184, 1354, 1297, 3450, 4665, 1318, 13858, 29659, 133, 1189, 1618, 19399, 10293, 6676, 244, 16834, 19410, 244, 2519, 3663, 189, 1278, 1125, 1152, 26178, 15941, 1318, 10923, 1125, 21890, 6957, 1768, 27101, 1318, 3594, 1134, 2100, 1125, 1540, 1214, 2335, 10293, 1408, 13938, 1126, 1309, 1170, 1618, 1148, 7011, 1469, 1318, 3343, 1512, 16834, 1711, 14192, 1303, 1188, 1158, 23636, 121, 1643, 1557, 25477, 1314, 1110, 1170, 16021, 3090, 9144, 1195, 10898, 2290, 1170, 1618, 19399, 121, 3450, 11642, 1214, 1282, 5943, 120, 2266, 1141, 2079, 1170, 4392, 1256, 14534, 1594, 1600, 1125, 1158, 2274, 1309, 10276, 1971, 1314, 2290, 23887, 2869, 1965, 1313, 1189, 31110, 19011, 1199, 1167, 7331, 1125, 11963, 9598, 6280, 2274, 8632, 1571, 30311, 18912, 1140, 1234, 1167, 9734, 17993, 13301, 1170, 3494, 1227, 2306, 1125, 1594, 1618, 19399, 26785, 1300, 1158, 7027, 8155, 13822, 1125, 14642, 5821, 5288, 1110, 24772, 1158, 11641, 1197, 16219, 1346, 1197, 1754, 2869, 1346, 1197, 1962, 1205, 3948, 1346, 1167, 1197, 11937, 1125, 13834, 15320, 1214, 1469, 1318, 17920, 31789, 18726, 1124, 12302, 1125, 1158, 22663, 1313, 1158, 9640, 13624, 1227, 26851, 6298, 1110, 6340, 244, 1188, 7015, 3389, 1158, 13498, 1125, 1816, 26294, 1357, 1110, 4701, 31481, 1282, 2991, 1132, 1125, 1158, 13498, 30284, 20020, 1256, 1207, 29631, 6175, 1199, 2140, 18318, 6649, 17872, 488, 26328, 1500, 6055, 160, 1377, 21620, 1254, 6271, 6834, 1188, 1158, 3060, 1125, 3089, 1357, 1952, 15177, 1170, 4534, 1282, 2991, 1132, 1125, 1158, 13498, 9943, 3603, 1527, 22203, 3365, 10515, 2130, 5631, 8770, 1256, 2435, 1304, 160, 1148, 1125, 14642, 5821, 5288, 12258, 1281, 16351, 1370, 1309, 1325, 8272, 14693, 1281, 2666, 29721, 1125, 1594, 31925, 1256, 1170, 14514, 1125, 1158, 2959, 1210, 2009, 7031, 2010, 1450, 1313, 1594, 10977, 3719, 244, 1125, 2893, 3383, 6488, 176, 7009, 1167, 1207, 2499, 1595, 1266, 1925, 9665, 1186, 488, 124, 132, 126, 130, 11488, 1167, 5474, 17994, 488, 1424, 2003, 1652, 2705, 1243, 1167, 8125, 2104, 1518, 1145, 10645, 1405, 3113, 9905, 14642, 5821, 3685, 119, 27898, 23716, 8980, 3739, 179, 2469, 6760, 14726, 119, 488, 125, 123, 124, 124, 11934, 2652, 11316, 1185, 1752, 1460, 1628, 2652, 11316, 1227, 2271, 31549, 6298, 1628, 2652, 11316, 1186, 17490, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1387, 1516, 172, 1299, 1189, 1865, 24815, 6255, 4012, 1199, 1125, 1282, 218, 1315, 1227, 21683, 13959, 27283, 4996, 176, 6298, 1305, 121, 6709, 3926, 121, 1496, 8446, 1317, 18762, 13469, 1227, 4779, 1125, 1173, 19616, 2433, 1313, 1170, 24155, 1458, 16435, 1255, 17023, 1125, 3859, 20196, 2433, 1186, 1173, 1146, 1399, 1175, 20270, 4023, 158, 1123, 10878, 14564, 1130, 13958, 2260, 179, 15376, 1110, 1913, 3902, 1317, 2574, 1317, 19121, 1125, 1158, 1600, 2316, 1125, 1204, 1387, 1516, 1810, 1188, 11793, 2335, 13337, 5373, 244, 30446, 1313, 1158, 4813, 1125, 28847, 3679, 10177, 15376, 21311, 1387, 1516, 172, 1110, 1913, 10719, 18661, 1188, 3862, 1125, 488, 124, 132, 132, 127, 119, 18812, 1158, 3247, 16341, 3701, 5639, 1125, 22058, 5949, 1227, 13337, 5373, 244, 1613, 29227, 10791, 1865, 1299, 13644, 1125, 7945, 1166, 1178, 1883, 1188, 2678, 30380, 1167, 4415, 22105, 3798, 4511, 16186, 1125, 9569, 2962, 1207, 1166, 1178, 1883, 2004, 1913, 5428, 1234, 1197, 1152, 4580, 1188, 4392, 6844, 7925, 11212, 1106, 1953, 1606, 1186, 4438, 1125, 1111, 1203, 2552, 3133, 1188, 3494, 1206, 23932, 12104, 7745, 1136, 1207, 2164, 1452, 190, 1125, 1158, 1600, 25998, 1318, 20631, 1139, 1416, 2248, 1731, 1522, 2845, 1197, 12520, 1104, 1606, 1110, 1185, 9509, 1310, 10445, 3133, 2050, 1153, 1473, 1313, 1158, 22600, 119, 4701, 6175, 1473, 2335, 4170, 16682, 1445, 19617, 4250, 3511, 1180, 4023, 216, 15466, 12907, 2519, 3000, 25422, 1197, 2605, 1269, 9551, 1170, 7130, 1114, 1146, 2988, 1110, 1913, 1994, 3305, 30633, 1167, 11051, 8001, 1317, 2271, 176, 6298, 1305, 121, 6709, 3926, 3145, 1856, 1186, 28038, 2042, 1170, 28546, 15163, 2519, 6018, 4875, 11278, 1188, 24570, 2519, 1197, 1166, 1178, 1883, 8273, 1567, 6233, 1299, 2377, 1303, 11051, 12115, 7328, 1158, 4971, 1227, 13337, 1125, 1204, 1387, 1516, 172, 1317, 17990, 24373, 1315, 8273, 1376, 13122, 18805, 12754, 6593, 1634, 1508, 6581, 1234, 1317, 14331, 17023, 1125, 28847, 3679, 11488, 1167, 5474, 13374, 11052, 1424, 8487, 20969, 1125, 1282, 20270, 106, 14124, 1125, 1158, 1173, 1146, 1399, 11934, 1286, 1125, 19910, 1227, 21683, 1186, 20375, 9515, 24815, 6255, 1186, 1173, 1146, 1399, 5383, 193, 2588, 1125, 3859, 187, 9836, 1628, 1366, 3679, 32001, 1424, 32000, 20036, 1720, 1387, 1516, 172, 1299, 1189, 1865, 24815, 6255, 4012, 1199, 1125, 1282, 218, 1315, 1227, 21683, 13959, 27283, 4996, 176, 6298, 1305, 121, 6709, 3926, 121, 1496, 8446, 1317, 18762, 13469, 1227, 4779, 1125, 1173, 19616, 2433, 1313, 1170, 24155, 1458, 16435, 1255, 17023, 1125, 3859, 20196, 2433, 1186, 1173, 1146, 1399, 1175, 20270, 4023, 158, 1123, 10878, 14564, 1130, 13958, 2260, 179, 15376, 1110, 1913, 3902, 1317, 2574, 1317, 19121, 1125, 1158, 1600, 2316, 1125, 1204, 1387, 1516, 1810, 1188, 11793, 2335, 13337, 5373, 244, 30446, 1313, 1158, 4813, 1125, 28847, 3679, 10177, 15376, 21311, 1387, 1516, 172, 1110, 1913, 10719, 18661, 1188, 3862, 1125, 488, 124, 132, 132, 127, 119, 18812, 1158, 3247, 16341, 3701, 5639, 1125, 22058, 5949, 1227, 13337, 5373, 244, 1613, 29227, 10791, 1865, 1299, 13644, 1125, 7945, 1166, 1178, 1883, 1188, 2678, 30380, 1167, 4415, 22105, 3798, 4511, 16186, 1125, 9569, 2962, 1207, 1166, 1178, 1883, 2004, 1913, 5428, 1234, 1197, 1152, 4580, 1188, 4392, 6844, 7925, 11212, 1106, 1953, 1606, 1186, 4438, 1125, 1111, 1203, 2552, 3133, 1188, 3494, 1206, 23932, 12104, 7745, 1136, 1207, 2164, 1452, 190, 1125, 1158, 1600, 25998, 1318, 20631, 1139, 1416, 2248, 1731, 1522, 2845, 1197, 12520, 1104, 1606, 1110, 1185, 9509, 1310, 10445, 3133, 2050, 1153, 1473, 1313, 1158, 22600, 119, 4701, 6175, 1473, 2335, 4170, 16682, 1445, 19617, 4250, 3511, 1180, 4023, 216, 15466, 12907, 2519, 3000, 25422, 1197, 2605, 1269, 9551, 1170, 7130, 1114, 1146, 2988, 1110, 1913, 1994, 3305, 30633, 1167, 11051, 8001, 1317, 2271, 176, 6298, 1305, 121, 6709, 3926, 3145, 1856, 1186, 28038, 2042, 1170, 28546, 15163, 2519, 6018, 4875, 11278, 1188, 24570, 2519, 1197, 1166, 1178, 1883, 8273, 1567, 6233, 1299, 2377, 1303, 11051, 12115, 7328, 1158, 4971, 1227, 13337, 1125, 1204, 1387, 1516, 172, 1317, 17990, 24373, 1315, 8273, 1376, 13122, 18805, 12754, 6593, 1634, 1508, 6581, 1234, 1317, 14331, 17023, 1125, 28847, 3679, 11488, 1167, 5474, 13374, 11052, 1424, 8487, 20969, 1125, 1282, 20270, 106, 14124, 1125, 1158, 1173, 1146, 1399, 11934, 1286, 1125, 19910, 1227, 21683, 1186, 20375, 9515, 24815, 6255, 1186, 1173, 1146, 1399, 5383, 193, 2588, 1125, 3859, 187, 9836, 1628, 1366, 3679, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 1387, 1516, 172, 1299, 1189, 1865, 24815, 6255, 4012, 1199, 1125, 1282, 218, 1315, 1227, 21683, 13959, 27283, 4996, 176, 6298, 1305, 121, 6709, 3926, 121, 1496, 8446, 1317, 18762, 13469, 1227, 4779, 1125, 1173, 19616, 2433, 1313, 1170, 24155, 1458, 16435, 1255, 17023, 1125, 3859, 20196, 2433, 1186, 1173, 1146, 1399, 1175, 20270, 4023, 158, 1123, 10878, 14564, 1130, 13958, 2260, 179, 15376, 1110, 1913, 3902, 1317, 2574, 1317, 19121, 1125, 1158, 1600, 2316, 1125, 1204, 1387, 1516, 1810, 1188, 11793, 2335, 13337, 5373, 244, 30446, 1313, 1158, 4813, 1125, 28847, 3679, 10177, 15376, 21311, 1387, 1516, 172, 1110, 1913, 10719, 18661, 1188, 3862, 1125, 488, 124, 132, 132, 127, 119, 18812, 1158, 3247, 16341, 3701, 5639, 1125, 22058, 5949, 1227, 13337, 5373, 244, 1613, 29227, 10791, 1865, 1299, 13644, 1125, 7945, 1166, 1178, 1883, 1188, 2678, 30380, 1167, 4415, 22105, 3798, 4511, 16186, 1125, 9569, 2962, 1207, 1166, 1178, 1883, 2004, 1913, 5428, 1234, 1197, 1152, 4580, 1188, 4392, 6844, 7925, 11212, 1106, 1953, 1606, 1186, 4438, 1125, 1111, 1203, 2552, 3133, 1188, 3494, 1206, 23932, 12104, 7745, 1136, 1207, 2164, 1452, 190, 1125, 1158, 1600, 25998, 1318, 20631, 1139, 1416, 2248, 1731, 1522, 2845, 1197, 12520, 1104, 1606, 1110, 1185, 9509, 1310, 10445, 3133, 2050, 1153, 1473, 1313, 1158, 22600, 119, 4701, 6175, 1473, 2335, 4170, 16682, 1445, 19617, 4250, 3511, 1180, 4023, 216, 15466, 12907, 2519, 3000, 25422, 1197, 2605, 1269, 9551, 1170, 7130, 1114, 1146, 2988, 1110, 1913, 1994, 3305, 30633, 1167, 11051, 8001, 1317, 2271, 176, 6298, 1305, 121, 6709, 3926, 3145, 1856, 1186, 28038, 2042, 1170, 28546, 15163, 2519, 6018, 4875, 11278, 1188, 24570, 2519, 1197, 1166, 1178, 1883, 8273, 1567, 6233, 1299, 2377, 1303, 11051, 12115, 7328, 1158, 4971, 1227, 13337, 1125, 1204, 1387, 1516, 172, 1317, 17990, 24373, 1315, 8273, 1376, 13122, 18805, 12754, 6593, 1634, 1508, 6581, 1234, 1317, 14331, 17023, 1125, 28847, 3679, 11488, 1167, 5474, 13374, 11052, 1424, 8487, 20969, 1125, 1282, 20270, 106, 14124, 1125, 1158, 1173, 1146, 1399, 11934, 1286, 1125, 19910, 1227, 21683, 1186, 20375, 9515, 24815, 6255, 1186, 1173, 1146, 1399, 5383, 193, 2588, 1125, 3859, 187, 9836, 1628, 1366, 3679, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 7060, 1293, 7932, 4280, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 128, 123, 1188, 8579, 1167, 4541, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 24832, 22256, 1517, 121, 28769, 1110, 1913, 6513, 1227, 2893, 1237, 22256, 1517, 3672, 1189, 1151, 1175, 124, 132, 132, 129, 1188, 488, 124, 132, 132, 130, 1496, 2442, 1309, 6513, 1125, 1282, 15511, 7542, 1816, 2076, 4927, 121, 1768, 1299, 10321, 30598, 1186, 7957, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 1768, 21180, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 1167, 7354, 3719, 1793, 2519, 21638, 26298, 13060, 1317, 5566, 1198, 156, 158, 14231, 1194, 5522, 9861, 1167, 8787, 21311, 7060, 1293, 7932, 4280, 8658, 1125, 10935, 5264, 176, 24079, 1293, 7932, 4280, 1299, 12456, 2335, 1138, 2120, 1132, 24666, 1128, 1186, 4208, 14463, 11540, 1369, 1188, 21455, 1227, 8579, 1188, 11173, 1118, 2184, 180, 25886, 4096, 1424, 2524, 488, 124, 132, 130, 123, 1188, 488, 124, 132, 131, 124, 1167, 1125, 3631, 1188, 3862, 1125, 488, 124, 132, 131, 131, 119, 9436, 1293, 7932, 1374, 27254, 4399, 17230, 1188, 1158, 5204, 13980, 1125, 4603, 1444, 1132, 8370, 488, 124, 132, 131, 124, 119, 1527, 1299, 18640, 20653, 1125, 4603, 1444, 1132, 1188, 23423, 5277, 1227, 8579, 2290, 1158, 17018, 1774, 1227, 15211, 22256, 1517, 121, 30393, 1594, 3151, 6912, 3683, 1527, 27999, 1158, 2321, 10206, 11482, 30598, 1227, 5328, 1197, 4444, 14817, 1768, 27254, 1170, 8536, 1125, 20653, 7328, 1561, 23598, 1170, 488, 126, 124, 2822, 488, 124, 132, 132, 126, 119, 2666, 5125, 488, 125, 10031, 2750, 1309, 1778, 2075, 1334, 25098, 16752, 3365, 27112, 2904, 1370, 1158, 1850, 1319, 4054, 6749, 1686, 488, 124, 132, 132, 126, 119, 1527, 1281, 5004, 1256, 1170, 2893, 1237, 22256, 1517, 1188, 1158, 15890, 1197, 8742, 1227, 26015, 1768, 1299, 18640, 1313, 1158, 25898, 1125, 4603, 1444, 3850, 8738, 6055, 235, 1440, 1309, 1170, 6513, 1227, 1921, 119, 8415, 1354, 1233, 6559, 4748, 23598, 1245, 1186, 488, 124, 132, 132, 129, 119, 1527, 27999, 1158, 2321, 1125, 10321, 30598, 1125, 14097, 1228, 5066, 11131, 15937, 1768, 1299, 18640, 1215, 1909, 17148, 1856, 6513, 1227, 1921, 119, 1170, 488, 124, 128, 2798, 488, 124, 132, 132, 129, 119, 1723, 1288, 4933, 1186, 8536, 1309, 15545, 488, 124, 128, 2829, 488, 124, 132, 132, 130, 27404, 1158, 3011, 1125, 1158, 22928, 1125, 1594, 2735, 31547, 7194, 3023, 6604, 1159, 14921, 1496, 1527, 27296, 1888, 10321, 30598, 1227, 2893, 1237, 22256, 1517, 7328, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 8509, 13354, 1167, 2498, 1313, 1207, 10792, 10791, 488, 125, 126, 2738, 488, 125, 123, 123, 130, 119, 9436, 1293, 7932, 1374, 10656, 1571, 10792, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 15000, 5725, 1197, 8110, 1125, 4509, 8155, 488, 125, 131, 2738, 488, 125, 123, 123, 130, 119, 1170, 2893, 1237, 22256, 1517, 10656, 1309, 9436, 1293, 7932, 1374, 1116, 5511, 172, 1561, 21608, 1125, 10321, 30598, 1188, 3341, 6780, 1202, 8297, 16156, 20653, 1313, 1170, 21836, 1125, 1321, 7847, 1567, 8155, 488, 124, 1107, 2875, 488, 125, 123, 130, 119, 9436, 1293, 7932, 1374, 27639, 1561, 3453, 21638, 1300, 1207, 1238, 3436, 1125, 1198, 156, 17050, 9436, 1293, 7932, 1374, 5115, 1345, 2445, 1317, 5623, 6601, 3719, 244, 1215, 20714, 1308, 1204, 1510, 3191, 31070, 15211, 5416, 1793, 1227, 6372, 15624, 488, 124, 128, 2822, 488, 125, 123, 123, 131, 119, 9436, 1293, 7932, 1374, 10656, 3365, 7592, 1170, 15211, 5416, 1793, 1227, 26015, 1768, 9331, 189, 2960, 1909, 8758, 1188, 30690, 1125, 21353, 22256, 1517, 1317, 5545, 1125, 1158, 3968, 3657, 10328, 11038, 1257, 1939, 20419, 1317, 1921, 2487, 1527, 1110, 1913, 1170, 1850, 4790, 1527, 22203, 1257, 6749, 152, 1249, 1424, 5395, 1148, 1343, 2335, 10346, 1227, 8613, 184, 2114, 9436, 1293, 7932, 1374, 19859, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 11488, 1167, 20117, 20544, 11052, 7364, 5825, 1424, 1424, 9436, 1293, 7932, 1374, 2353, 26262, 5277, 1227, 8579, 106, 3550, 3076, 3260, 11565, 1125, 1158, 25161, 1227, 12229, 1227, 6372, 4713, 3400, 1186, 3141, 488, 124, 132, 128, 123, 8156, 1188, 8579, 9745, 28668, 26798, 24832, 14719, 1227, 8579, 9745, 28668, 1227, 2893, 1237, 22256, 1517, 9745, 28668, 1227, 15211, 22256, 1517, 1188, 23423, 5277, 19218, 177, 1125, 1282, 15511, 21364, 3835, 22087, 12125, 1416, 1467, 1188, 488, 130, 123, 2165, 1720, 1249, 2335, 10346, 1227, 8613, 6045, 9317, 1186, 2738, 488, 125, 123, 125, 123, 114, 32001, 1424, 32000, 20036, 1720, 7060, 1293, 7932, 4280, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 128, 123, 1188, 8579, 1167, 4541, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 24832, 22256, 1517, 121, 28769, 1110, 1913, 6513, 1227, 2893, 1237, 22256, 1517, 3672, 1189, 1151, 1175, 124, 132, 132, 129, 1188, 488, 124, 132, 132, 130, 1496, 2442, 1309, 6513, 1125, 1282, 15511, 7542, 1816, 2076, 4927, 121, 1768, 1299, 10321, 30598, 1186, 7957, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 1768, 21180, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 1167, 7354, 3719, 1793, 2519, 21638, 26298, 13060, 1317, 5566, 1198, 156, 158, 14231, 1194, 5522, 9861, 1167, 8787, 21311, 7060, 1293, 7932, 4280, 8658, 1125, 10935, 5264, 176, 24079, 1293, 7932, 4280, 1299, 12456, 2335, 1138, 2120, 1132, 24666, 1128, 1186, 4208, 14463, 11540, 1369, 1188, 21455, 1227, 8579, 1188, 11173, 1118, 2184, 180, 25886, 4096, 1424, 2524, 488, 124, 132, 130, 123, 1188, 488, 124, 132, 131, 124, 1167, 1125, 3631, 1188, 3862, 1125, 488, 124, 132, 131, 131, 119, 9436, 1293, 7932, 1374, 27254, 4399, 17230, 1188, 1158, 5204, 13980, 1125, 4603, 1444, 1132, 8370, 488, 124, 132, 131, 124, 119, 1527, 1299, 18640, 20653, 1125, 4603, 1444, 1132, 1188, 23423, 5277, 1227, 8579, 2290, 1158, 17018, 1774, 1227, 15211, 22256, 1517, 121, 30393, 1594, 3151, 6912, 3683, 1527, 27999, 1158, 2321, 10206, 11482, 30598, 1227, 5328, 1197, 4444, 14817, 1768, 27254, 1170, 8536, 1125, 20653, 7328, 1561, 23598, 1170, 488, 126, 124, 2822, 488, 124, 132, 132, 126, 119, 2666, 5125, 488, 125, 10031, 2750, 1309, 1778, 2075, 1334, 25098, 16752, 3365, 27112, 2904, 1370, 1158, 1850, 1319, 4054, 6749, 1686, 488, 124, 132, 132, 126, 119, 1527, 1281, 5004, 1256, 1170, 2893, 1237, 22256, 1517, 1188, 1158, 15890, 1197, 8742, 1227, 26015, 1768, 1299, 18640, 1313, 1158, 25898, 1125, 4603, 1444, 3850, 8738, 6055, 235, 1440, 1309, 1170, 6513, 1227, 1921, 119, 8415, 1354, 1233, 6559, 4748, 23598, 1245, 1186, 488, 124, 132, 132, 129, 119, 1527, 27999, 1158, 2321, 1125, 10321, 30598, 1125, 14097, 1228, 5066, 11131, 15937, 1768, 1299, 18640, 1215, 1909, 17148, 1856, 6513, 1227, 1921, 119, 1170, 488, 124, 128, 2798, 488, 124, 132, 132, 129, 119, 1723, 1288, 4933, 1186, 8536, 1309, 15545, 488, 124, 128, 2829, 488, 124, 132, 132, 130, 27404, 1158, 3011, 1125, 1158, 22928, 1125, 1594, 2735, 31547, 7194, 3023, 6604, 1159, 14921, 1496, 1527, 27296, 1888, 10321, 30598, 1227, 2893, 1237, 22256, 1517, 7328, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 8509, 13354, 1167, 2498, 1313, 1207, 10792, 10791, 488, 125, 126, 2738, 488, 125, 123, 123, 130, 119, 9436, 1293, 7932, 1374, 10656, 1571, 10792, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 15000, 5725, 1197, 8110, 1125, 4509, 8155, 488, 125, 131, 2738, 488, 125, 123, 123, 130, 119, 1170, 2893, 1237, 22256, 1517, 10656, 1309, 9436, 1293, 7932, 1374, 1116, 5511, 172, 1561, 21608, 1125, 10321, 30598, 1188, 3341, 6780, 1202, 8297, 16156, 20653, 1313, 1170, 21836, 1125, 1321, 7847, 1567, 8155, 488, 124, 1107, 2875, 488, 125, 123, 130, 119, 9436, 1293, 7932, 1374, 27639, 1561, 3453, 21638, 1300, 1207, 1238, 3436, 1125, 1198, 156, 17050, 9436, 1293, 7932, 1374, 5115, 1345, 2445, 1317, 5623, 6601, 3719, 244, 1215, 20714, 1308, 1204, 1510, 3191, 31070, 15211, 5416, 1793, 1227, 6372, 15624, 488, 124, 128, 2822, 488, 125, 123, 123, 131, 119, 9436, 1293, 7932, 1374, 10656, 3365, 7592, 1170, 15211, 5416, 1793, 1227, 26015, 1768, 9331, 189, 2960, 1909, 8758, 1188, 30690, 1125, 21353, 22256, 1517, 1317, 5545, 1125, 1158, 3968, 3657, 10328, 11038, 1257, 1939, 20419, 1317, 1921, 2487, 1527, 1110, 1913, 1170, 1850, 4790, 1527, 22203, 1257, 6749, 152, 1249, 1424, 5395, 1148, 1343, 2335, 10346, 1227, 8613, 184, 2114, 9436, 1293, 7932, 1374, 19859, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 11488, 1167, 20117, 20544, 11052, 7364, 5825, 1424, 1424, 9436, 1293, 7932, 1374, 2353, 26262, 5277, 1227, 8579, 106, 3550, 3076, 3260, 11565, 1125, 1158, 25161, 1227, 12229, 1227, 6372, 4713, 3400, 1186, 3141, 488, 124, 132, 128, 123, 8156, 1188, 8579, 9745, 28668, 26798, 24832, 14719, 1227, 8579, 9745, 28668, 1227, 2893, 1237, 22256, 1517, 9745, 28668, 1227, 15211, 22256, 1517, 1188, 23423, 5277, 19218, 177, 1125, 1282, 15511, 21364, 3835, 22087, 12125, 1416, 1467, 1188, 488, 130, 123, 2165, 1720, 1249, 2335, 10346, 1227, 8613, 6045, 9317, 1186, 2738, 488, 125, 123, 125, 123, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 7060, 1293, 7932, 4280, 5252, 1170, 488, 125, 124, 3141, 488, 124, 132, 128, 123, 1188, 8579, 1167, 4541, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 119, 1299, 1189, 5598, 3657, 24832, 22256, 1517, 121, 28769, 1110, 1913, 6513, 1227, 2893, 1237, 22256, 1517, 3672, 1189, 1151, 1175, 124, 132, 132, 129, 1188, 488, 124, 132, 132, 130, 1496, 2442, 1309, 6513, 1125, 1282, 15511, 7542, 1816, 2076, 4927, 121, 1768, 1299, 10321, 30598, 1186, 7957, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 1768, 21180, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 1167, 7354, 3719, 1793, 2519, 21638, 26298, 13060, 1317, 5566, 1198, 156, 158, 14231, 1194, 5522, 9861, 1167, 8787, 21311, 7060, 1293, 7932, 4280, 8658, 1125, 10935, 5264, 176, 24079, 1293, 7932, 4280, 1299, 12456, 2335, 1138, 2120, 1132, 24666, 1128, 1186, 4208, 14463, 11540, 1369, 1188, 21455, 1227, 8579, 1188, 11173, 1118, 2184, 180, 25886, 4096, 1424, 2524, 488, 124, 132, 130, 123, 1188, 488, 124, 132, 131, 124, 1167, 1125, 3631, 1188, 3862, 1125, 488, 124, 132, 131, 131, 119, 9436, 1293, 7932, 1374, 27254, 4399, 17230, 1188, 1158, 5204, 13980, 1125, 4603, 1444, 1132, 8370, 488, 124, 132, 131, 124, 119, 1527, 1299, 18640, 20653, 1125, 4603, 1444, 1132, 1188, 23423, 5277, 1227, 8579, 2290, 1158, 17018, 1774, 1227, 15211, 22256, 1517, 121, 30393, 1594, 3151, 6912, 3683, 1527, 27999, 1158, 2321, 10206, 11482, 30598, 1227, 5328, 1197, 4444, 14817, 1768, 27254, 1170, 8536, 1125, 20653, 7328, 1561, 23598, 1170, 488, 126, 124, 2822, 488, 124, 132, 132, 126, 119, 2666, 5125, 488, 125, 10031, 2750, 1309, 1778, 2075, 1334, 25098, 16752, 3365, 27112, 2904, 1370, 1158, 1850, 1319, 4054, 6749, 1686, 488, 124, 132, 132, 126, 119, 1527, 1281, 5004, 1256, 1170, 2893, 1237, 22256, 1517, 1188, 1158, 15890, 1197, 8742, 1227, 26015, 1768, 1299, 18640, 1313, 1158, 25898, 1125, 4603, 1444, 3850, 8738, 6055, 235, 1440, 1309, 1170, 6513, 1227, 1921, 119, 8415, 1354, 1233, 6559, 4748, 23598, 1245, 1186, 488, 124, 132, 132, 129, 119, 1527, 27999, 1158, 2321, 1125, 10321, 30598, 1125, 14097, 1228, 5066, 11131, 15937, 1768, 1299, 18640, 1215, 1909, 17148, 1856, 6513, 1227, 1921, 119, 1170, 488, 124, 128, 2798, 488, 124, 132, 132, 129, 119, 1723, 1288, 4933, 1186, 8536, 1309, 15545, 488, 124, 128, 2829, 488, 124, 132, 132, 130, 27404, 1158, 3011, 1125, 1158, 22928, 1125, 1594, 2735, 31547, 7194, 3023, 6604, 1159, 14921, 1496, 1527, 27296, 1888, 10321, 30598, 1227, 2893, 1237, 22256, 1517, 7328, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 488, 125, 123, 123, 130, 8509, 13354, 1167, 2498, 1313, 1207, 10792, 10791, 488, 125, 126, 2738, 488, 125, 123, 123, 130, 119, 9436, 1293, 7932, 1374, 10656, 1571, 10792, 1594, 18033, 1125, 1158, 2492, 3657, 1186, 15000, 5725, 1197, 8110, 1125, 4509, 8155, 488, 125, 131, 2738, 488, 125, 123, 123, 130, 119, 1170, 2893, 1237, 22256, 1517, 10656, 1309, 9436, 1293, 7932, 1374, 1116, 5511, 172, 1561, 21608, 1125, 10321, 30598, 1188, 3341, 6780, 1202, 8297, 16156, 20653, 1313, 1170, 21836, 1125, 1321, 7847, 1567, 8155, 488, 124, 1107, 2875, 488, 125, 123, 130, 119, 9436, 1293, 7932, 1374, 27639, 1561, 3453, 21638, 1300, 1207, 1238, 3436, 1125, 1198, 156, 17050, 9436, 1293, 7932, 1374, 5115, 1345, 2445, 1317, 5623, 6601, 3719, 244, 1215, 20714, 1308, 1204, 1510, 3191, 31070, 15211, 5416, 1793, 1227, 6372, 15624, 488, 124, 128, 2822, 488, 125, 123, 123, 131, 119, 9436, 1293, 7932, 1374, 10656, 3365, 7592, 1170, 15211, 5416, 1793, 1227, 26015, 1768, 9331, 189, 2960, 1909, 8758, 1188, 30690, 1125, 21353, 22256, 1517, 1317, 5545, 1125, 1158, 3968, 3657, 10328, 11038, 1257, 1939, 20419, 1317, 1921, 2487, 1527, 1110, 1913, 1170, 1850, 4790, 1527, 22203, 1257, 6749, 152, 1249, 1424, 5395, 1148, 1343, 2335, 10346, 1227, 8613, 184, 2114, 9436, 1293, 7932, 1374, 19859, 1170, 488, 126, 123, 2738, 488, 125, 123, 125, 123, 11488, 1167, 20117, 20544, 11052, 7364, 5825, 1424, 1424, 9436, 1293, 7932, 1374, 2353, 26262, 5277, 1227, 8579, 106, 3550, 3076, 3260, 11565, 1125, 1158, 25161, 1227, 12229, 1227, 6372, 4713, 3400, 1186, 3141, 488, 124, 132, 128, 123, 8156, 1188, 8579, 9745, 28668, 26798, 24832, 14719, 1227, 8579, 9745, 28668, 1227, 2893, 1237, 22256, 1517, 9745, 28668, 1227, 15211, 22256, 1517, 1188, 23423, 5277, 19218, 177, 1125, 1282, 15511, 21364, 3835, 22087, 12125, 1416, 1467, 1188, 488, 130, 123, 2165, 1720, 1249, 2335, 10346, 1227, 8613, 6045, 9317, 1186, 2738, 488, 125, 123, 125, 123, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 160, 1150, 1210, 1728, 172, 1299, 1189, 7433, 1125, 12267, 1691, 1237, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 7997, 1431, 172, 1965, 2290, 2874, 22137, 1197, 11435, 7187, 1468, 172, 1965, 1188, 17817, 22792, 2248, 1146, 3701, 1357, 9016, 3997, 488, 124, 125, 123, 8773, 23311, 1548, 2510, 1304, 4870, 243, 1887, 22786, 1473, 1188, 1440, 7433, 22072, 3702, 1207, 13213, 1285, 4345, 4400, 8499, 1309, 1170, 7433, 6279, 13854, 16154, 1175, 1515, 2630, 2100, 1304, 4870, 243, 1887, 116, 3233, 1823, 10689, 1313, 1170, 7433, 1405, 1150, 1210, 1728, 172, 8509, 1879, 1104, 14360, 1125, 1440, 7433, 1508, 9786, 1856, 12267, 3663, 3074, 2805, 1256, 10022, 3278, 1170, 16082, 1478, 2666, 1317, 13938, 1407, 3301, 2666, 2290, 4438, 1125, 3663, 3277, 17931, 1389, 121, 4787, 3213, 8773, 14433, 7008, 1207, 22057, 9551, 1508, 4400, 16702, 1856, 1197, 31761, 2067, 6482, 1197, 4236, 20747, 7008, 28822, 1470, 2972, 1856, 3557, 1170, 2015, 1304, 160, 1150, 1210, 1728, 172, 24790, 22162, 1186, 6801, 4654, 2932, 1508, 2072, 1197, 12267, 14939, 1256, 19229, 2714, 1282, 13088, 1231, 1197, 16651, 1167, 11499, 1207, 2811, 1923, 1197, 3285, 11739, 121, 3559, 8773, 7467, 1405, 1150, 1210, 1728, 172, 1683, 2643, 1810, 1299, 18663, 1303, 1856, 25293, 1366, 8330, 1278, 1186, 12094, 16341, 1366, 9994, 2038, 1304, 4870, 243, 1887, 11934, 3015, 1257, 2093, 20634, 1167, 16828, 5825, 1194, 18843, 1112, 1125, 7997, 1431, 4735, 29610, 11246, 116, 1257, 1405, 1150, 1210, 1728, 172, 1628, 1212, 2874, 22137, 1257, 11435, 7187, 1468, 4735, 2911, 1154, 1577, 1303, 3663, 3074, 1450, 2911, 1154, 1577, 1303, 1464, 1549, 3076, 32001, 1424, 32000, 20036, 14731, 1150, 1210, 1728, 172, 1299, 1189, 7433, 1125, 12267, 1691, 1237, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 7997, 1431, 172, 1965, 2290, 2874, 22137, 1197, 11435, 7187, 1468, 172, 1965, 1188, 17817, 22792, 2248, 1146, 3701, 1357, 9016, 3997, 488, 124, 125, 123, 8773, 23311, 1548, 2510, 1304, 4870, 243, 1887, 22786, 1473, 1188, 1440, 7433, 22072, 3702, 1207, 13213, 1285, 4345, 4400, 8499, 1309, 1170, 7433, 6279, 13854, 16154, 1175, 1515, 2630, 2100, 1304, 4870, 243, 1887, 116, 3233, 1823, 10689, 1313, 1170, 7433, 1405, 1150, 1210, 1728, 172, 8509, 1879, 1104, 14360, 1125, 1440, 7433, 1508, 9786, 1856, 12267, 3663, 3074, 2805, 1256, 10022, 3278, 1170, 16082, 1478, 2666, 1317, 13938, 1407, 3301, 2666, 2290, 4438, 1125, 3663, 3277, 17931, 1389, 121, 4787, 3213, 8773, 14433, 7008, 1207, 22057, 9551, 1508, 4400, 16702, 1856, 1197, 31761, 2067, 6482, 1197, 4236, 20747, 7008, 28822, 1470, 2972, 1856, 3557, 1170, 2015, 1304, 160, 1150, 1210, 1728, 172, 24790, 22162, 1186, 6801, 4654, 2932, 1508, 2072, 1197, 12267, 14939, 1256, 19229, 2714, 1282, 13088, 1231, 1197, 16651, 1167, 11499, 1207, 2811, 1923, 1197, 3285, 11739, 121, 3559, 8773, 7467, 1405, 1150, 1210, 1728, 172, 1683, 2643, 1810, 1299, 18663, 1303, 1856, 25293, 1366, 8330, 1278, 1186, 12094, 16341, 1366, 9994, 2038, 1304, 4870, 243, 1887, 11934, 3015, 1257, 2093, 20634, 1167, 16828, 5825, 1194, 18843, 1112, 1125, 7997, 1431, 4735, 29610, 11246, 116, 1257, 1405, 1150, 1210, 1728, 172, 1628, 1212, 2874, 22137, 1257, 11435, 7187, 1468, 4735, 2911, 1154, 1577, 1303, 3663, 3074, 1450, 2911, 1154, 1577, 1303, 1464, 1549, 3076, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14731, 1150, 1210, 1728, 172, 1299, 1189, 7433, 1125, 12267, 1691, 1237, 1190, 3340, 1740, 3807, 1125, 1158, 4446, 1197, 7997, 1431, 172, 1965, 2290, 2874, 22137, 1197, 11435, 7187, 1468, 172, 1965, 1188, 17817, 22792, 2248, 1146, 3701, 1357, 9016, 3997, 488, 124, 125, 123, 8773, 23311, 1548, 2510, 1304, 4870, 243, 1887, 22786, 1473, 1188, 1440, 7433, 22072, 3702, 1207, 13213, 1285, 4345, 4400, 8499, 1309, 1170, 7433, 6279, 13854, 16154, 1175, 1515, 2630, 2100, 1304, 4870, 243, 1887, 116, 3233, 1823, 10689, 1313, 1170, 7433, 1405, 1150, 1210, 1728, 172, 8509, 1879, 1104, 14360, 1125, 1440, 7433, 1508, 9786, 1856, 12267, 3663, 3074, 2805, 1256, 10022, 3278, 1170, 16082, 1478, 2666, 1317, 13938, 1407, 3301, 2666, 2290, 4438, 1125, 3663, 3277, 17931, 1389, 121, 4787, 3213, 8773, 14433, 7008, 1207, 22057, 9551, 1508, 4400, 16702, 1856, 1197, 31761, 2067, 6482, 1197, 4236, 20747, 7008, 28822, 1470, 2972, 1856, 3557, 1170, 2015, 1304, 160, 1150, 1210, 1728, 172, 24790, 22162, 1186, 6801, 4654, 2932, 1508, 2072, 1197, 12267, 14939, 1256, 19229, 2714, 1282, 13088, 1231, 1197, 16651, 1167, 11499, 1207, 2811, 1923, 1197, 3285, 11739, 121, 3559, 8773, 7467, 1405, 1150, 1210, 1728, 172, 1683, 2643, 1810, 1299, 18663, 1303, 1856, 25293, 1366, 8330, 1278, 1186, 12094, 16341, 1366, 9994, 2038, 1304, 4870, 243, 1887, 11934, 3015, 1257, 2093, 20634, 1167, 16828, 5825, 1194, 18843, 1112, 1125, 7997, 1431, 4735, 29610, 11246, 116, 1257, 1405, 1150, 1210, 1728, 172, 1628, 1212, 2874, 22137, 1257, 11435, 7187, 1468, 4735, 2911, 1154, 1577, 1303, 3663, 3074, 1450, 2911, 1154, 1577, 1303, 1464, 1549, 3076, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 2330, 10205, 11662, 172, 4419, 1303, 1170, 488, 125, 126, 2749, 488, 124, 132, 126, 126, 1188, 10681, 116, 1299, 1318, 1332, 1216, 8117, 20926, 1632, 1167, 16037, 1632, 13900, 121, 3450, 1110, 9401, 1189, 1197, 29865, 12186, 1125, 1158, 30882, 24885, 5206, 29241, 16788, 1186, 488, 124, 132, 128, 130, 1188, 18865, 2850, 14023, 6417, 4134, 106, 124, 132, 129, 132, 1257, 1173, 7415, 3984, 1406, 1257, 17675, 18514, 124, 132, 130, 131, 1257, 1173, 178, 2771, 3795, 4599, 1361, 1200, 1105, 2157, 2133, 8752, 7879, 18003, 1175, 6095, 1182, 1260, 124, 132, 131, 126, 1257, 2133, 1204, 8373, 4020, 4390, 1140, 13440, 1222, 1452, 23136, 4250, 4719, 1369, 1260, 125, 123, 123, 125, 1257, 15034, 1257, 26099, 1724, 26651, 1175, 16329, 8836, 1260, 125, 123, 123, 126, 1257, 18865, 2850, 133, 1410, 20851, 1192, 4780, 1449, 1135, 11689, 3024, 14770, 1325, 1371, 3730, 4250, 4719, 1369, 1260, 125, 123, 123, 129, 1257, 22480, 15983, 4830, 138, 1257, 10958, 1783, 3382, 106, 125, 123, 124, 125, 1257, 10325, 1539, 7614, 133, 1200, 1700, 1107, 1545, 1119, 10649, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 10823, 1753, 2256, 16694, 1410, 1410, 7643, 1132, 10649, 1161, 1293, 8339, 1222, 8212, 1554, 6200, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 6507, 1352, 1371, 1108, 133, 13426, 1161, 1135, 10823, 8676, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 21576, 4250, 4719, 1369, 1718, 10853, 7364, 5825, 1194, 3742, 9034, 13900, 1227, 23841, 6298, 9449, 9034, 1125, 30882, 24885, 4196, 2009, 1632, 13900, 1227, 23841, 6298, 4196, 2009, 1632, 1125, 30882, 24885, 1763, 1119, 1206, 1632, 13900, 1227, 23841, 6298, 1763, 1119, 1206, 1632, 1125, 30882, 24885, 1853, 3994, 10812, 1125, 1158, 6742, 29685, 1313, 1318, 30882, 24885, 8156, 1186, 2749, 488, 124, 132, 126, 126, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 1260, 3742, 9034, 13900, 1227, 12136, 25525, 6298, 9449, 9034, 13900, 1125, 9452, 9449, 9034, 13900, 1125, 12103, 32001, 1424, 32000, 20036, 4196, 10205, 11662, 172, 4419, 1303, 1170, 488, 125, 126, 2749, 488, 124, 132, 126, 126, 1188, 10681, 116, 1299, 1318, 1332, 1216, 8117, 20926, 1632, 1167, 16037, 1632, 13900, 121, 3450, 1110, 9401, 1189, 1197, 29865, 12186, 1125, 1158, 30882, 24885, 5206, 29241, 16788, 1186, 488, 124, 132, 128, 130, 1188, 18865, 2850, 14023, 6417, 4134, 106, 124, 132, 129, 132, 1257, 1173, 7415, 3984, 1406, 1257, 17675, 18514, 124, 132, 130, 131, 1257, 1173, 178, 2771, 3795, 4599, 1361, 1200, 1105, 2157, 2133, 8752, 7879, 18003, 1175, 6095, 1182, 1260, 124, 132, 131, 126, 1257, 2133, 1204, 8373, 4020, 4390, 1140, 13440, 1222, 1452, 23136, 4250, 4719, 1369, 1260, 125, 123, 123, 125, 1257, 15034, 1257, 26099, 1724, 26651, 1175, 16329, 8836, 1260, 125, 123, 123, 126, 1257, 18865, 2850, 133, 1410, 20851, 1192, 4780, 1449, 1135, 11689, 3024, 14770, 1325, 1371, 3730, 4250, 4719, 1369, 1260, 125, 123, 123, 129, 1257, 22480, 15983, 4830, 138, 1257, 10958, 1783, 3382, 106, 125, 123, 124, 125, 1257, 10325, 1539, 7614, 133, 1200, 1700, 1107, 1545, 1119, 10649, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 10823, 1753, 2256, 16694, 1410, 1410, 7643, 1132, 10649, 1161, 1293, 8339, 1222, 8212, 1554, 6200, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 6507, 1352, 1371, 1108, 133, 13426, 1161, 1135, 10823, 8676, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 21576, 4250, 4719, 1369, 1718, 10853, 7364, 5825, 1194, 3742, 9034, 13900, 1227, 23841, 6298, 9449, 9034, 1125, 30882, 24885, 4196, 2009, 1632, 13900, 1227, 23841, 6298, 4196, 2009, 1632, 1125, 30882, 24885, 1763, 1119, 1206, 1632, 13900, 1227, 23841, 6298, 1763, 1119, 1206, 1632, 1125, 30882, 24885, 1853, 3994, 10812, 1125, 1158, 6742, 29685, 1313, 1318, 30882, 24885, 8156, 1186, 2749, 488, 124, 132, 126, 126, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 1260, 3742, 9034, 13900, 1227, 12136, 25525, 6298, 9449, 9034, 13900, 1125, 9452, 9449, 9034, 13900, 1125, 12103, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4196, 10205, 11662, 172, 4419, 1303, 1170, 488, 125, 126, 2749, 488, 124, 132, 126, 126, 1188, 10681, 116, 1299, 1318, 1332, 1216, 8117, 20926, 1632, 1167, 16037, 1632, 13900, 121, 3450, 1110, 9401, 1189, 1197, 29865, 12186, 1125, 1158, 30882, 24885, 5206, 29241, 16788, 1186, 488, 124, 132, 128, 130, 1188, 18865, 2850, 14023, 6417, 4134, 106, 124, 132, 129, 132, 1257, 1173, 7415, 3984, 1406, 1257, 17675, 18514, 124, 132, 130, 131, 1257, 1173, 178, 2771, 3795, 4599, 1361, 1200, 1105, 2157, 2133, 8752, 7879, 18003, 1175, 6095, 1182, 1260, 124, 132, 131, 126, 1257, 2133, 1204, 8373, 4020, 4390, 1140, 13440, 1222, 1452, 23136, 4250, 4719, 1369, 1260, 125, 123, 123, 125, 1257, 15034, 1257, 26099, 1724, 26651, 1175, 16329, 8836, 1260, 125, 123, 123, 126, 1257, 18865, 2850, 133, 1410, 20851, 1192, 4780, 1449, 1135, 11689, 3024, 14770, 1325, 1371, 3730, 4250, 4719, 1369, 1260, 125, 123, 123, 129, 1257, 22480, 15983, 4830, 138, 1257, 10958, 1783, 3382, 106, 125, 123, 124, 125, 1257, 10325, 1539, 7614, 133, 1200, 1700, 1107, 1545, 1119, 10649, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 10823, 1753, 2256, 16694, 1410, 1410, 7643, 1132, 10649, 1161, 1293, 8339, 1222, 8212, 1554, 6200, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 6507, 1352, 1371, 1108, 133, 13426, 1161, 1135, 10823, 8676, 4250, 4719, 1369, 1260, 125, 123, 124, 125, 1257, 21576, 4250, 4719, 1369, 1718, 10853, 7364, 5825, 1194, 3742, 9034, 13900, 1227, 23841, 6298, 9449, 9034, 1125, 30882, 24885, 4196, 2009, 1632, 13900, 1227, 23841, 6298, 4196, 2009, 1632, 1125, 30882, 24885, 1763, 1119, 1206, 1632, 13900, 1227, 23841, 6298, 1763, 1119, 1206, 1632, 1125, 30882, 24885, 1853, 3994, 10812, 1125, 1158, 6742, 29685, 1313, 1318, 30882, 24885, 8156, 1186, 2749, 488, 124, 132, 126, 126, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 1260, 3742, 9034, 13900, 1227, 12136, 25525, 6298, 9449, 9034, 13900, 1125, 9452, 9449, 9034, 13900, 1125, 12103, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 488, 125, 124, 176, 10041, 4473, 18117, 4054, 7216, 10816, 1257, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 116, 1299, 1318, 1197, 3754, 5629, 4473, 18117, 4054, 1125, 21090, 20020, 1175, 2812, 179, 6619, 20042, 116, 7542, 1158, 22925, 12507, 10999, 8273, 1568, 1162, 1167, 6040, 7576, 7775, 1430, 2895, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 1299, 1830, 1303, 1188, 3985, 14559, 1170, 488, 488, 124, 1107, 2822, 488, 124, 132, 126, 128, 2290, 1170, 1874, 1125, 11094, 1518, 25777, 1199, 9905, 3985, 173, 2064, 1874, 1357, 2934, 5416, 244, 15545, 488, 125, 129, 3201, 488, 124, 132, 126, 132, 12825, 2132, 11563, 4473, 18117, 4054, 2004, 1913, 1830, 1234, 1188, 3862, 1227, 488, 126, 121, 4497, 1112, 192, 234, 1120, 2942, 116, 12646, 1199, 4054, 120, 6246, 2617, 1125, 1158, 488, 124, 121, 13897, 1125, 1158, 1863, 1507, 190, 1886, 9345, 30079, 1110, 1913, 5925, 6657, 1186, 488, 2875, 488, 124, 132, 126, 132, 1186, 4083, 1980, 1819, 2537, 1125, 1158, 488, 124, 121, 1325, 1378, 9321, 5819, 4023, 27002, 1194, 9182, 1701, 3945, 6614, 1194, 2103, 244, 237, 2931, 1304, 1273, 6361, 106, 488, 1317, 488, 1257, 9625, 1125, 24088, 106, 488, 124, 132, 127, 124, 2232, 4671, 2857, 22838, 3377, 1810, 2133, 30704, 2318, 5711, 176, 6973, 121, 8637, 1170, 488, 124, 128, 1167, 1170, 1859, 1158, 488, 125, 124, 121, 7145, 1199, 4054, 10041, 1110, 11708, 488, 131, 130, 123, 6626, 1257, 488, 124, 124, 3726, 2007, 1167, 488, 124, 128, 129, 6626, 3316, 3392, 488, 125, 127, 3726, 2007, 1167, 488, 129, 127, 126, 6626, 9814, 1234, 1167, 488, 126, 129, 8246, 1153, 106, 488, 124, 132, 127, 126, 2232, 1173, 16318, 1125, 1200, 7837, 9254, 106, 1233, 1514, 1415, 1125, 1518, 9080, 6363, 15689, 1194, 3765, 175, 1312, 1125, 16535, 106, 124, 132, 126, 132, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 126, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 125, 127, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3441, 1210, 194, 1217, 2548, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 3032, 1383, 20042, 25273, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 1175, 124, 1260, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 1219, 1886, 9345, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 125, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 127, 120, 124, 132, 127, 128, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 1252, 262, 190, 23243, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 13374, 5888, 8968, 12253, 1197, 3754, 5629, 10816, 1104, 1125, 1158, 22925, 12507, 10999, 106, 3225, 13976, 1125, 16535, 2391, 1125, 1158, 9625, 1125, 24088, 1175, 124, 132, 126, 132, 1260, 16710, 2244, 1692, 1304, 3780, 1142, 12654, 1897, 1142, 13776, 1289, 2159, 4473, 18117, 4054, 1125, 1158, 1997, 179, 6619, 20042, 5194, 1348, 11894, 1125, 1158, 22925, 12507, 10999, 114, 32001, 1424, 32000, 20036, 2895, 488, 125, 124, 176, 10041, 4473, 18117, 4054, 7216, 10816, 1257, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 116, 1299, 1318, 1197, 3754, 5629, 4473, 18117, 4054, 1125, 21090, 20020, 1175, 2812, 179, 6619, 20042, 116, 7542, 1158, 22925, 12507, 10999, 8273, 1568, 1162, 1167, 6040, 7576, 7775, 1430, 2895, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 1299, 1830, 1303, 1188, 3985, 14559, 1170, 488, 488, 124, 1107, 2822, 488, 124, 132, 126, 128, 2290, 1170, 1874, 1125, 11094, 1518, 25777, 1199, 9905, 3985, 173, 2064, 1874, 1357, 2934, 5416, 244, 15545, 488, 125, 129, 3201, 488, 124, 132, 126, 132, 12825, 2132, 11563, 4473, 18117, 4054, 2004, 1913, 1830, 1234, 1188, 3862, 1227, 488, 126, 121, 4497, 1112, 192, 234, 1120, 2942, 116, 12646, 1199, 4054, 120, 6246, 2617, 1125, 1158, 488, 124, 121, 13897, 1125, 1158, 1863, 1507, 190, 1886, 9345, 30079, 1110, 1913, 5925, 6657, 1186, 488, 2875, 488, 124, 132, 126, 132, 1186, 4083, 1980, 1819, 2537, 1125, 1158, 488, 124, 121, 1325, 1378, 9321, 5819, 4023, 27002, 1194, 9182, 1701, 3945, 6614, 1194, 2103, 244, 237, 2931, 1304, 1273, 6361, 106, 488, 1317, 488, 1257, 9625, 1125, 24088, 106, 488, 124, 132, 127, 124, 2232, 4671, 2857, 22838, 3377, 1810, 2133, 30704, 2318, 5711, 176, 6973, 121, 8637, 1170, 488, 124, 128, 1167, 1170, 1859, 1158, 488, 125, 124, 121, 7145, 1199, 4054, 10041, 1110, 11708, 488, 131, 130, 123, 6626, 1257, 488, 124, 124, 3726, 2007, 1167, 488, 124, 128, 129, 6626, 3316, 3392, 488, 125, 127, 3726, 2007, 1167, 488, 129, 127, 126, 6626, 9814, 1234, 1167, 488, 126, 129, 8246, 1153, 106, 488, 124, 132, 127, 126, 2232, 1173, 16318, 1125, 1200, 7837, 9254, 106, 1233, 1514, 1415, 1125, 1518, 9080, 6363, 15689, 1194, 3765, 175, 1312, 1125, 16535, 106, 124, 132, 126, 132, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 126, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 125, 127, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3441, 1210, 194, 1217, 2548, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 3032, 1383, 20042, 25273, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 1175, 124, 1260, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 1219, 1886, 9345, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 125, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 127, 120, 124, 132, 127, 128, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 1252, 262, 190, 23243, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 13374, 5888, 8968, 12253, 1197, 3754, 5629, 10816, 1104, 1125, 1158, 22925, 12507, 10999, 106, 3225, 13976, 1125, 16535, 2391, 1125, 1158, 9625, 1125, 24088, 1175, 124, 132, 126, 132, 1260, 16710, 2244, 1692, 1304, 3780, 1142, 12654, 1897, 1142, 13776, 1289, 2159, 4473, 18117, 4054, 1125, 1158, 1997, 179, 6619, 20042, 5194, 1348, 11894, 1125, 1158, 22925, 12507, 10999, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 488, 125, 124, 176, 10041, 4473, 18117, 4054, 7216, 10816, 1257, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 116, 1299, 1318, 1197, 3754, 5629, 4473, 18117, 4054, 1125, 21090, 20020, 1175, 2812, 179, 6619, 20042, 116, 7542, 1158, 22925, 12507, 10999, 8273, 1568, 1162, 1167, 6040, 7576, 7775, 1430, 2895, 488, 125, 124, 121, 12646, 1199, 4054, 4853, 1289, 2159, 1299, 1830, 1303, 1188, 3985, 14559, 1170, 488, 488, 124, 1107, 2822, 488, 124, 132, 126, 128, 2290, 1170, 1874, 1125, 11094, 1518, 25777, 1199, 9905, 3985, 173, 2064, 1874, 1357, 2934, 5416, 244, 15545, 488, 125, 129, 3201, 488, 124, 132, 126, 132, 12825, 2132, 11563, 4473, 18117, 4054, 2004, 1913, 1830, 1234, 1188, 3862, 1227, 488, 126, 121, 4497, 1112, 192, 234, 1120, 2942, 116, 12646, 1199, 4054, 120, 6246, 2617, 1125, 1158, 488, 124, 121, 13897, 1125, 1158, 1863, 1507, 190, 1886, 9345, 30079, 1110, 1913, 5925, 6657, 1186, 488, 2875, 488, 124, 132, 126, 132, 1186, 4083, 1980, 1819, 2537, 1125, 1158, 488, 124, 121, 1325, 1378, 9321, 5819, 4023, 27002, 1194, 9182, 1701, 3945, 6614, 1194, 2103, 244, 237, 2931, 1304, 1273, 6361, 106, 488, 1317, 488, 1257, 9625, 1125, 24088, 106, 488, 124, 132, 127, 124, 2232, 4671, 2857, 22838, 3377, 1810, 2133, 30704, 2318, 5711, 176, 6973, 121, 8637, 1170, 488, 124, 128, 1167, 1170, 1859, 1158, 488, 125, 124, 121, 7145, 1199, 4054, 10041, 1110, 11708, 488, 131, 130, 123, 6626, 1257, 488, 124, 124, 3726, 2007, 1167, 488, 124, 128, 129, 6626, 3316, 3392, 488, 125, 127, 3726, 2007, 1167, 488, 129, 127, 126, 6626, 9814, 1234, 1167, 488, 126, 129, 8246, 1153, 106, 488, 124, 132, 127, 126, 2232, 1173, 16318, 1125, 1200, 7837, 9254, 106, 1233, 1514, 1415, 1125, 1518, 9080, 6363, 15689, 1194, 3765, 175, 1312, 1125, 16535, 106, 124, 132, 126, 132, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 126, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 125, 127, 106, 12646, 1199, 4054, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3441, 1210, 194, 1217, 2548, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 3032, 1383, 20042, 25273, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 1175, 124, 1260, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 1219, 1886, 9345, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 125, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 8227, 177, 2194, 189, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 1194, 124, 132, 127, 127, 120, 124, 132, 127, 128, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 126, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 125, 127, 106, 15040, 1217, 1374, 120, 6246, 2617, 488, 127, 128, 106, 1252, 262, 190, 23243, 3551, 1514, 9556, 488, 125, 124, 106, 1922, 24524, 1214, 120, 6246, 2617, 488, 125, 124, 106, 16723, 3991, 1148, 1142, 3513, 106, 21979, 3991, 1148, 1142, 3513, 106, 7983, 121, 3991, 1148, 1142, 3513, 106, 1209, 7096, 2233, 24524, 1214, 120, 6246, 2617, 488, 128, 130, 106, 1202, 1231, 1374, 3551, 1514, 9556, 488, 125, 124, 106, 11435, 6759, 181, 239, 2104, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1266, 1519, 1766, 1337, 1108, 4379, 173, 1148, 1142, 3513, 488, 125, 124, 106, 1252, 14704, 1201, 29088, 3551, 1514, 9556, 488, 125, 124, 106, 12829, 2601, 3513, 1206, 1109, 1122, 1123, 1108, 488, 125, 124, 13374, 5888, 8968, 12253, 1197, 3754, 5629, 10816, 1104, 1125, 1158, 22925, 12507, 10999, 106, 3225, 13976, 1125, 16535, 2391, 1125, 1158, 9625, 1125, 24088, 1175, 124, 132, 126, 132, 1260, 16710, 2244, 1692, 1304, 3780, 1142, 12654, 1897, 1142, 13776, 1289, 2159, 4473, 18117, 4054, 1125, 1158, 1997, 179, 6619, 20042, 5194, 1348, 11894, 1125, 1158, 22925, 12507, 10999, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 150, 3903, 1109, 195, 1175, 9306, 2500, 1518, 7531, 182, 25838, 16464, 14818, 1130, 1665, 116, 1299, 1318, 5625, 20020, 16512, 1186, 488, 124, 132, 130, 129, 1167, 20936, 1188, 5763, 183, 4537, 3450, 2513, 1197, 25248, 3719, 3392, 1125, 1158, 7585, 1167, 1197, 6578, 6327, 1188, 9781, 1197, 4661, 9994, 1146, 2027, 488, 1424, 141, 1108, 19580, 1282, 3118, 1479, 2851, 2757, 488, 124, 132, 130, 130, 488, 1424, 141, 1456, 2433, 1874, 2519, 3594, 174, 1774, 5867, 1456, 180, 15096, 190, 6647, 1496, 2757, 488, 124, 132, 131, 123, 488, 1424, 149, 1119, 23522, 1659, 488, 124, 132, 131, 123, 120, 124, 132, 131, 132, 119, 488, 125, 123, 123, 123, 120, 125, 123, 123, 125, 488, 1424, 159, 1212, 1186, 1114, 1378, 1469, 1233, 1456, 180, 1167, 1198, 21367, 2757, 488, 124, 132, 132, 124, 488, 1424, 162, 1274, 1762, 2757, 488, 124, 132, 132, 127, 488, 1424, 3956, 192, 4048, 1170, 4170, 14892, 1881, 3693, 2757, 488, 125, 123, 123, 126, 9323, 1167, 5474, 488, 12928, 3898, 186, 1304, 15673, 4716, 1594, 9209, 1186, 17490, 488, 1424, 15759, 2561, 1125, 6578, 6327, 4716, 1594, 9209, 1188, 17597, 488, 1424, 15759, 2561, 16512, 1186, 488, 124, 132, 130, 129, 488, 1424, 224, 31752, 1125, 6578, 6327, 32001, 1424, 32000, 20036, 6975, 3903, 1109, 195, 1175, 9306, 2500, 1518, 7531, 182, 25838, 16464, 14818, 1130, 1665, 116, 1299, 1318, 5625, 20020, 16512, 1186, 488, 124, 132, 130, 129, 1167, 20936, 1188, 5763, 183, 4537, 3450, 2513, 1197, 25248, 3719, 3392, 1125, 1158, 7585, 1167, 1197, 6578, 6327, 1188, 9781, 1197, 4661, 9994, 1146, 2027, 488, 1424, 141, 1108, 19580, 1282, 3118, 1479, 2851, 2757, 488, 124, 132, 130, 130, 488, 1424, 141, 1456, 2433, 1874, 2519, 3594, 174, 1774, 5867, 1456, 180, 15096, 190, 6647, 1496, 2757, 488, 124, 132, 131, 123, 488, 1424, 149, 1119, 23522, 1659, 488, 124, 132, 131, 123, 120, 124, 132, 131, 132, 119, 488, 125, 123, 123, 123, 120, 125, 123, 123, 125, 488, 1424, 159, 1212, 1186, 1114, 1378, 1469, 1233, 1456, 180, 1167, 1198, 21367, 2757, 488, 124, 132, 132, 124, 488, 1424, 162, 1274, 1762, 2757, 488, 124, 132, 132, 127, 488, 1424, 3956, 192, 4048, 1170, 4170, 14892, 1881, 3693, 2757, 488, 125, 123, 123, 126, 9323, 1167, 5474, 488, 12928, 3898, 186, 1304, 15673, 4716, 1594, 9209, 1186, 17490, 488, 1424, 15759, 2561, 1125, 6578, 6327, 4716, 1594, 9209, 1188, 17597, 488, 1424, 15759, 2561, 16512, 1186, 488, 124, 132, 130, 129, 488, 1424, 224, 31752, 1125, 6578, 6327, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6975, 3903, 1109, 195, 1175, 9306, 2500, 1518, 7531, 182, 25838, 16464, 14818, 1130, 1665, 116, 1299, 1318, 5625, 20020, 16512, 1186, 488, 124, 132, 130, 129, 1167, 20936, 1188, 5763, 183, 4537, 3450, 2513, 1197, 25248, 3719, 3392, 1125, 1158, 7585, 1167, 1197, 6578, 6327, 1188, 9781, 1197, 4661, 9994, 1146, 2027, 488, 1424, 141, 1108, 19580, 1282, 3118, 1479, 2851, 2757, 488, 124, 132, 130, 130, 488, 1424, 141, 1456, 2433, 1874, 2519, 3594, 174, 1774, 5867, 1456, 180, 15096, 190, 6647, 1496, 2757, 488, 124, 132, 131, 123, 488, 1424, 149, 1119, 23522, 1659, 488, 124, 132, 131, 123, 120, 124, 132, 131, 132, 119, 488, 125, 123, 123, 123, 120, 125, 123, 123, 125, 488, 1424, 159, 1212, 1186, 1114, 1378, 1469, 1233, 1456, 180, 1167, 1198, 21367, 2757, 488, 124, 132, 132, 124, 488, 1424, 162, 1274, 1762, 2757, 488, 124, 132, 132, 127, 488, 1424, 3956, 192, 4048, 1170, 4170, 14892, 1881, 3693, 2757, 488, 125, 123, 123, 126, 9323, 1167, 5474, 488, 12928, 3898, 186, 1304, 15673, 4716, 1594, 9209, 1186, 17490, 488, 1424, 15759, 2561, 1125, 6578, 6327, 4716, 1594, 9209, 1188, 17597, 488, 1424, 15759, 2561, 16512, 1186, 488, 124, 132, 130, 129, 488, 1424, 224, 31752, 1125, 6578, 6327, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 157, 1174, 6930, 14359, 189, 248, 14936, 5520, 1362, 13082, 1105, 14359, 1738, 1277, 5520, 1299, 1189, 19166, 2515, 1121, 1146, 5485, 5252, 1170, 488, 488, 126, 124, 2584, 488, 124, 132, 130, 132, 1188, 1248, 248, 186, 1202, 2295, 189, 4277, 1188, 5370, 186, 1248, 7187, 14231, 6538, 1299, 9918, 1256, 1909, 29865, 1313, 1207, 18767, 4608, 20479, 1167, 8242, 27070, 121, 1768, 16823, 2445, 1313, 2482, 15671, 23859, 17794, 1167, 3079, 22097, 4020, 8273, 2119, 1186, 488, 125, 123, 123, 128, 3365, 1805, 10928, 1594, 3151, 6315, 1317, 9452, 1313, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 2585, 1527, 5714, 1158, 1338, 1291, 1460, 1188, 26189, 10589, 3795, 176, 3606, 1167, 31744, 3276, 197, 184, 236, 9373, 1653, 488, 125, 123, 123, 131, 1527, 10809, 1571, 17206, 6348, 175, 2405, 1266, 1249, 1105, 1167, 2908, 1109, 14299, 1112, 1669, 1313, 1548, 8276, 1125, 1158, 15577, 4979, 7552, 2136, 1158, 30882, 4608, 2160, 1222, 2394, 1186, 488, 125, 123, 123, 131, 119, 8980, 9560, 6019, 1188, 13082, 1105, 14359, 1738, 14127, 1189, 6315, 1313, 1561, 3185, 30930, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 121, 15518, 18584, 16423, 1844, 4689, 1188, 1909, 2882, 1256, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 119, 1189, 1169, 9831, 1227, 3418, 1125, 488, 124, 132, 130, 127, 1808, 29109, 2026, 1227, 4972, 19074, 1469, 9368, 24433, 10681, 1167, 4172, 12701, 1172, 3113, 1186, 6425, 12863, 3352, 14023, 6417, 4134, 12498, 7359, 106, 125, 123, 123, 128, 1257, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 1125, 21541, 1867, 5796, 1724, 1257, 9467, 14359, 1738, 14127, 106, 125, 123, 123, 131, 1257, 4608, 177, 1659, 1222, 2394, 1125, 7934, 6171, 1233, 1490, 2495, 106, 125, 123, 123, 131, 1257, 1548, 8276, 1125, 1158, 15577, 4979, 1125, 1293, 1342, 1109, 14329, 22626, 1121, 1257, 9467, 1198, 2715, 9945, 125, 123, 123, 132, 1257, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1257, 6291, 178, 5995, 106, 125, 123, 123, 132, 1257, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1125, 8980, 9560, 1257, 1548, 186, 3621, 11772, 106, 125, 123, 124, 124, 1257, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1257, 23121, 22053, 6293, 27199, 106, 125, 123, 124, 127, 1257, 23081, 1226, 27605, 1257, 14281, 1202, 6991, 106, 125, 123, 124, 130, 1257, 4020, 1912, 30114, 196, 1125, 13089, 1164, 4460, 27876, 1403, 1276, 14831, 1286, 1257, 5421, 11185, 12426, 7219, 2137, 106, 125, 123, 125, 123, 1257, 1548, 2499, 1203, 1167, 1814, 1460, 30820, 1257, 9605, 24367, 1819, 28084, 106, 125, 123, 123, 127, 1257, 3079, 22097, 4020, 1257, 1808, 1306, 13088, 1227, 488, 124, 124, 2875, 1257, 20204, 12678, 5090, 106, 125, 123, 123, 129, 1323, 488, 125, 123, 123, 131, 1257, 4608, 20479, 1257, 7162, 1132, 4891, 106, 125, 123, 123, 129, 1257, 2482, 15671, 23859, 17794, 3615, 5540, 488, 130, 119, 15956, 488, 124, 125, 116, 1257, 20730, 106, 125, 123, 123, 130, 1323, 488, 125, 123, 123, 132, 1257, 8242, 27070, 1257, 14163, 1354, 3225, 29471, 106, 125, 123, 124, 124, 1257, 25470, 1361, 6188, 1785, 1257, 4172, 16947, 4279, 106, 125, 123, 124, 127, 1257, 1293, 1475, 7560, 1589, 1257, 21878, 1200, 2249, 197, 106, 125, 123, 124, 130, 1257, 27062, 1252, 1267, 1257, 29016, 1178, 9945, 125, 123, 124, 130, 1257, 1410, 12111, 23878, 1257, 29016, 1178, 9945, 125, 123, 125, 124, 1257, 1410, 21823, 1161, 1135, 1293, 5671, 1518, 3579, 1257, 3985, 248, 1141, 1653, 20694, 1867, 1643, 9339, 1568, 1194, 161, 3420, 19101, 3807, 29515, 2315, 1763, 1174, 1354, 11868, 2360, 1148, 1313, 1257, 4196, 1124, 10691, 1361, 6188, 1785, 3615, 2974, 23170, 1260, 148, 2548, 1252, 1267, 3615, 2974, 23170, 20484, 12111, 23878, 3615, 2974, 23170, 21672, 2499, 1203, 1167, 1814, 1460, 30820, 1194, 15226, 14453, 1293, 1662, 5811, 1313, 1257, 20830, 1156, 1226, 27605, 1763, 1242, 27070, 3615, 2974, 23170, 1718, 11699, 2072, 16213, 1452, 182, 15814, 3191, 1313, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1530, 2643, 1120, 9193, 1322, 2323, 1313, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1750, 2035, 180, 1233, 3352, 191, 1313, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1720, 4691, 6280, 2715, 1313, 1293, 1475, 7560, 1589, 3615, 2974, 23170, 12537, 1224, 3291, 3276, 1130, 1128, 1313, 1410, 7990, 1491, 3615, 2974, 23170, 1260, 2439, 1128, 1731, 1125, 1233, 1259, 1109, 1128, 1313, 5262, 1198, 2089, 3615, 2974, 23170, 1718, 17971, 8579, 1875, 1507, 28182, 11598, 1379, 2576, 147, 17339, 1374, 1313, 1257, 19814, 1434, 1201, 1257, 1643, 9819, 3383, 1720, 2116, 1257, 10221, 15486, 1720, 15933, 3190, 178, 2288, 244, 1313, 26831, 5523, 488, 124, 125, 126, 1323, 2576, 1203, 2258, 7051, 1566, 3915, 16720, 1923, 1165, 24115, 1313, 23081, 1226, 27605, 5526, 1766, 3261, 1515, 1334, 1313, 4020, 1912, 30114, 196, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2515, 1121, 1146, 1262, 9449, 1836, 8403, 9449, 1836, 1125, 31833, 31735, 11565, 25931, 5526, 24116, 1125, 15714, 1125, 2482, 4524, 8156, 1186, 2584, 488, 124, 132, 130, 132, 8156, 1188, 1248, 248, 186, 1202, 2295, 9080, 32001, 1424, 32000, 20036, 1750, 1174, 6930, 14359, 189, 248, 14936, 5520, 1362, 13082, 1105, 14359, 1738, 1277, 5520, 1299, 1189, 19166, 2515, 1121, 1146, 5485, 5252, 1170, 488, 488, 126, 124, 2584, 488, 124, 132, 130, 132, 1188, 1248, 248, 186, 1202, 2295, 189, 4277, 1188, 5370, 186, 1248, 7187, 14231, 6538, 1299, 9918, 1256, 1909, 29865, 1313, 1207, 18767, 4608, 20479, 1167, 8242, 27070, 121, 1768, 16823, 2445, 1313, 2482, 15671, 23859, 17794, 1167, 3079, 22097, 4020, 8273, 2119, 1186, 488, 125, 123, 123, 128, 3365, 1805, 10928, 1594, 3151, 6315, 1317, 9452, 1313, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 2585, 1527, 5714, 1158, 1338, 1291, 1460, 1188, 26189, 10589, 3795, 176, 3606, 1167, 31744, 3276, 197, 184, 236, 9373, 1653, 488, 125, 123, 123, 131, 1527, 10809, 1571, 17206, 6348, 175, 2405, 1266, 1249, 1105, 1167, 2908, 1109, 14299, 1112, 1669, 1313, 1548, 8276, 1125, 1158, 15577, 4979, 7552, 2136, 1158, 30882, 4608, 2160, 1222, 2394, 1186, 488, 125, 123, 123, 131, 119, 8980, 9560, 6019, 1188, 13082, 1105, 14359, 1738, 14127, 1189, 6315, 1313, 1561, 3185, 30930, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 121, 15518, 18584, 16423, 1844, 4689, 1188, 1909, 2882, 1256, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 119, 1189, 1169, 9831, 1227, 3418, 1125, 488, 124, 132, 130, 127, 1808, 29109, 2026, 1227, 4972, 19074, 1469, 9368, 24433, 10681, 1167, 4172, 12701, 1172, 3113, 1186, 6425, 12863, 3352, 14023, 6417, 4134, 12498, 7359, 106, 125, 123, 123, 128, 1257, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 1125, 21541, 1867, 5796, 1724, 1257, 9467, 14359, 1738, 14127, 106, 125, 123, 123, 131, 1257, 4608, 177, 1659, 1222, 2394, 1125, 7934, 6171, 1233, 1490, 2495, 106, 125, 123, 123, 131, 1257, 1548, 8276, 1125, 1158, 15577, 4979, 1125, 1293, 1342, 1109, 14329, 22626, 1121, 1257, 9467, 1198, 2715, 9945, 125, 123, 123, 132, 1257, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1257, 6291, 178, 5995, 106, 125, 123, 123, 132, 1257, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1125, 8980, 9560, 1257, 1548, 186, 3621, 11772, 106, 125, 123, 124, 124, 1257, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1257, 23121, 22053, 6293, 27199, 106, 125, 123, 124, 127, 1257, 23081, 1226, 27605, 1257, 14281, 1202, 6991, 106, 125, 123, 124, 130, 1257, 4020, 1912, 30114, 196, 1125, 13089, 1164, 4460, 27876, 1403, 1276, 14831, 1286, 1257, 5421, 11185, 12426, 7219, 2137, 106, 125, 123, 125, 123, 1257, 1548, 2499, 1203, 1167, 1814, 1460, 30820, 1257, 9605, 24367, 1819, 28084, 106, 125, 123, 123, 127, 1257, 3079, 22097, 4020, 1257, 1808, 1306, 13088, 1227, 488, 124, 124, 2875, 1257, 20204, 12678, 5090, 106, 125, 123, 123, 129, 1323, 488, 125, 123, 123, 131, 1257, 4608, 20479, 1257, 7162, 1132, 4891, 106, 125, 123, 123, 129, 1257, 2482, 15671, 23859, 17794, 3615, 5540, 488, 130, 119, 15956, 488, 124, 125, 116, 1257, 20730, 106, 125, 123, 123, 130, 1323, 488, 125, 123, 123, 132, 1257, 8242, 27070, 1257, 14163, 1354, 3225, 29471, 106, 125, 123, 124, 124, 1257, 25470, 1361, 6188, 1785, 1257, 4172, 16947, 4279, 106, 125, 123, 124, 127, 1257, 1293, 1475, 7560, 1589, 1257, 21878, 1200, 2249, 197, 106, 125, 123, 124, 130, 1257, 27062, 1252, 1267, 1257, 29016, 1178, 9945, 125, 123, 124, 130, 1257, 1410, 12111, 23878, 1257, 29016, 1178, 9945, 125, 123, 125, 124, 1257, 1410, 21823, 1161, 1135, 1293, 5671, 1518, 3579, 1257, 3985, 248, 1141, 1653, 20694, 1867, 1643, 9339, 1568, 1194, 161, 3420, 19101, 3807, 29515, 2315, 1763, 1174, 1354, 11868, 2360, 1148, 1313, 1257, 4196, 1124, 10691, 1361, 6188, 1785, 3615, 2974, 23170, 1260, 148, 2548, 1252, 1267, 3615, 2974, 23170, 20484, 12111, 23878, 3615, 2974, 23170, 21672, 2499, 1203, 1167, 1814, 1460, 30820, 1194, 15226, 14453, 1293, 1662, 5811, 1313, 1257, 20830, 1156, 1226, 27605, 1763, 1242, 27070, 3615, 2974, 23170, 1718, 11699, 2072, 16213, 1452, 182, 15814, 3191, 1313, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1530, 2643, 1120, 9193, 1322, 2323, 1313, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1750, 2035, 180, 1233, 3352, 191, 1313, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1720, 4691, 6280, 2715, 1313, 1293, 1475, 7560, 1589, 3615, 2974, 23170, 12537, 1224, 3291, 3276, 1130, 1128, 1313, 1410, 7990, 1491, 3615, 2974, 23170, 1260, 2439, 1128, 1731, 1125, 1233, 1259, 1109, 1128, 1313, 5262, 1198, 2089, 3615, 2974, 23170, 1718, 17971, 8579, 1875, 1507, 28182, 11598, 1379, 2576, 147, 17339, 1374, 1313, 1257, 19814, 1434, 1201, 1257, 1643, 9819, 3383, 1720, 2116, 1257, 10221, 15486, 1720, 15933, 3190, 178, 2288, 244, 1313, 26831, 5523, 488, 124, 125, 126, 1323, 2576, 1203, 2258, 7051, 1566, 3915, 16720, 1923, 1165, 24115, 1313, 23081, 1226, 27605, 5526, 1766, 3261, 1515, 1334, 1313, 4020, 1912, 30114, 196, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2515, 1121, 1146, 1262, 9449, 1836, 8403, 9449, 1836, 1125, 31833, 31735, 11565, 25931, 5526, 24116, 1125, 15714, 1125, 2482, 4524, 8156, 1186, 2584, 488, 124, 132, 130, 132, 8156, 1188, 1248, 248, 186, 1202, 2295, 9080, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1750, 1174, 6930, 14359, 189, 248, 14936, 5520, 1362, 13082, 1105, 14359, 1738, 1277, 5520, 1299, 1189, 19166, 2515, 1121, 1146, 5485, 5252, 1170, 488, 488, 126, 124, 2584, 488, 124, 132, 130, 132, 1188, 1248, 248, 186, 1202, 2295, 189, 4277, 1188, 5370, 186, 1248, 7187, 14231, 6538, 1299, 9918, 1256, 1909, 29865, 1313, 1207, 18767, 4608, 20479, 1167, 8242, 27070, 121, 1768, 16823, 2445, 1313, 2482, 15671, 23859, 17794, 1167, 3079, 22097, 4020, 8273, 2119, 1186, 488, 125, 123, 123, 128, 3365, 1805, 10928, 1594, 3151, 6315, 1317, 9452, 1313, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 2585, 1527, 5714, 1158, 1338, 1291, 1460, 1188, 26189, 10589, 3795, 176, 3606, 1167, 31744, 3276, 197, 184, 236, 9373, 1653, 488, 125, 123, 123, 131, 1527, 10809, 1571, 17206, 6348, 175, 2405, 1266, 1249, 1105, 1167, 2908, 1109, 14299, 1112, 1669, 1313, 1548, 8276, 1125, 1158, 15577, 4979, 7552, 2136, 1158, 30882, 4608, 2160, 1222, 2394, 1186, 488, 125, 123, 123, 131, 119, 8980, 9560, 6019, 1188, 13082, 1105, 14359, 1738, 14127, 1189, 6315, 1313, 1561, 3185, 30930, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 121, 15518, 18584, 16423, 1844, 4689, 1188, 1909, 2882, 1256, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 119, 1189, 1169, 9831, 1227, 3418, 1125, 488, 124, 132, 130, 127, 1808, 29109, 2026, 1227, 4972, 19074, 1469, 9368, 24433, 10681, 1167, 4172, 12701, 1172, 3113, 1186, 6425, 12863, 3352, 14023, 6417, 4134, 12498, 7359, 106, 125, 123, 123, 128, 1257, 2576, 148, 2402, 2139, 1257, 1867, 1158, 5820, 1317, 3937, 3835, 16264, 13729, 1361, 14815, 133, 1248, 1439, 1163, 9782, 116, 1125, 21541, 1867, 5796, 1724, 1257, 9467, 14359, 1738, 14127, 106, 125, 123, 123, 131, 1257, 4608, 177, 1659, 1222, 2394, 1125, 7934, 6171, 1233, 1490, 2495, 106, 125, 123, 123, 131, 1257, 1548, 8276, 1125, 1158, 15577, 4979, 1125, 1293, 1342, 1109, 14329, 22626, 1121, 1257, 9467, 1198, 2715, 9945, 125, 123, 123, 132, 1257, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1257, 6291, 178, 5995, 106, 125, 123, 123, 132, 1257, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1125, 8980, 9560, 1257, 1548, 186, 3621, 11772, 106, 125, 123, 124, 124, 1257, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1257, 23121, 22053, 6293, 27199, 106, 125, 123, 124, 127, 1257, 23081, 1226, 27605, 1257, 14281, 1202, 6991, 106, 125, 123, 124, 130, 1257, 4020, 1912, 30114, 196, 1125, 13089, 1164, 4460, 27876, 1403, 1276, 14831, 1286, 1257, 5421, 11185, 12426, 7219, 2137, 106, 125, 123, 125, 123, 1257, 1548, 2499, 1203, 1167, 1814, 1460, 30820, 1257, 9605, 24367, 1819, 28084, 106, 125, 123, 123, 127, 1257, 3079, 22097, 4020, 1257, 1808, 1306, 13088, 1227, 488, 124, 124, 2875, 1257, 20204, 12678, 5090, 106, 125, 123, 123, 129, 1323, 488, 125, 123, 123, 131, 1257, 4608, 20479, 1257, 7162, 1132, 4891, 106, 125, 123, 123, 129, 1257, 2482, 15671, 23859, 17794, 3615, 5540, 488, 130, 119, 15956, 488, 124, 125, 116, 1257, 20730, 106, 125, 123, 123, 130, 1323, 488, 125, 123, 123, 132, 1257, 8242, 27070, 1257, 14163, 1354, 3225, 29471, 106, 125, 123, 124, 124, 1257, 25470, 1361, 6188, 1785, 1257, 4172, 16947, 4279, 106, 125, 123, 124, 127, 1257, 1293, 1475, 7560, 1589, 1257, 21878, 1200, 2249, 197, 106, 125, 123, 124, 130, 1257, 27062, 1252, 1267, 1257, 29016, 1178, 9945, 125, 123, 124, 130, 1257, 1410, 12111, 23878, 1257, 29016, 1178, 9945, 125, 123, 125, 124, 1257, 1410, 21823, 1161, 1135, 1293, 5671, 1518, 3579, 1257, 3985, 248, 1141, 1653, 20694, 1867, 1643, 9339, 1568, 1194, 161, 3420, 19101, 3807, 29515, 2315, 1763, 1174, 1354, 11868, 2360, 1148, 1313, 1257, 4196, 1124, 10691, 1361, 6188, 1785, 3615, 2974, 23170, 1260, 148, 2548, 1252, 1267, 3615, 2974, 23170, 20484, 12111, 23878, 3615, 2974, 23170, 21672, 2499, 1203, 1167, 1814, 1460, 30820, 1194, 15226, 14453, 1293, 1662, 5811, 1313, 1257, 20830, 1156, 1226, 27605, 1763, 1242, 27070, 3615, 2974, 23170, 1718, 11699, 2072, 16213, 1452, 182, 15814, 3191, 1313, 2576, 5335, 2558, 1227, 30651, 488, 124, 125, 126, 1530, 2643, 1120, 9193, 1322, 2323, 1313, 4897, 1434, 1201, 488, 125, 1257, 1643, 9819, 3383, 1750, 2035, 180, 1233, 3352, 191, 1313, 5055, 22241, 3973, 133, 25987, 10221, 15486, 1720, 4691, 6280, 2715, 1313, 1293, 1475, 7560, 1589, 3615, 2974, 23170, 12537, 1224, 3291, 3276, 1130, 1128, 1313, 1410, 7990, 1491, 3615, 2974, 23170, 1260, 2439, 1128, 1731, 1125, 1233, 1259, 1109, 1128, 1313, 5262, 1198, 2089, 3615, 2974, 23170, 1718, 17971, 8579, 1875, 1507, 28182, 11598, 1379, 2576, 147, 17339, 1374, 1313, 1257, 19814, 1434, 1201, 1257, 1643, 9819, 3383, 1720, 2116, 1257, 10221, 15486, 1720, 15933, 3190, 178, 2288, 244, 1313, 26831, 5523, 488, 124, 125, 126, 1323, 2576, 1203, 2258, 7051, 1566, 3915, 16720, 1923, 1165, 24115, 1313, 23081, 1226, 27605, 5526, 1766, 3261, 1515, 1334, 1313, 4020, 1912, 30114, 196, 9323, 1167, 16828, 5825, 1194, 3742, 1836, 2515, 1121, 1146, 1262, 9449, 1836, 8403, 9449, 1836, 1125, 31833, 31735, 11565, 25931, 5526, 24116, 1125, 15714, 1125, 2482, 4524, 8156, 1186, 2584, 488, 124, 132, 130, 132, 8156, 1188, 1248, 248, 186, 1202, 2295, 9080, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 149, 19191, 4304, 2733, 119, 1874, 1125, 1264, 4437, 1125, 7529, 1195, 1414, 17851, 1494, 1222, 1374, 1784, 4951, 1299, 1189, 15644, 5485, 30771, 1167, 12304, 20120, 5252, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 1188, 4847, 172, 1107, 1897, 2296, 1167, 4541, 1186, 488, 124, 132, 132, 127, 14231, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1299, 5252, 1188, 4847, 172, 1107, 1897, 2296, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 121, 1768, 4393, 1370, 1186, 3691, 1227, 4742, 16815, 1301, 11380, 7745, 172, 1127, 6909, 21086, 1258, 1314, 1248, 1141, 1134, 2982, 1893, 1647, 22368, 2163, 1125, 1200, 1542, 5485, 12459, 1125, 18242, 1158, 13702, 1188, 1158, 3011, 2519, 3391, 1176, 8130, 1125, 17895, 14921, 13870, 1731, 1167, 2368, 3173, 5738, 1186, 2605, 12945, 5650, 2585, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1110, 8121, 1207, 1408, 13418, 4092, 1125, 1561, 2492, 1313, 1318, 17030, 30831, 31265, 5464, 1186, 13702, 5867, 189, 1250, 1717, 1496, 3458, 4092, 1408, 14429, 1527, 11051, 1767, 1909, 8787, 11712, 1213, 1245, 1188, 6659, 1276, 1538, 1303, 1125, 4847, 172, 1107, 1897, 2296, 116, 1256, 2368, 1320, 4612, 3393, 1300, 1189, 27214, 17030, 1188, 1350, 1243, 3706, 27404, 1158, 3011, 1227, 13640, 1125, 1594, 6005, 11637, 1300, 1170, 27214, 5997, 8255, 1527, 2888, 1123, 1318, 3968, 1256, 8753, 3260, 1737, 2038, 1188, 3712, 14249, 3281, 6780, 1188, 16241, 7552, 2136, 1594, 5541, 3202, 3701, 1527, 16773, 1594, 1675, 2433, 1170, 17849, 3177, 1315, 16855, 1125, 1198, 1444, 2818, 1188, 6721, 2585, 1527, 1844, 1909, 28407, 1856, 19383, 2040, 1527, 13300, 1188, 1125, 5087, 2264, 1376, 12891, 4505, 1167, 1299, 18640, 10079, 2519, 11183, 1197, 1329, 187, 7198, 1554, 1125, 6545, 1125, 488, 124, 127, 120, 124, 131, 8273, 2119, 1188, 1158, 3011, 2519, 6666, 1469, 1158, 16176, 15493, 1125, 3550, 13841, 1167, 1158, 5038, 15493, 1518, 1199, 1569, 192, 7641, 1965, 3365, 3958, 1274, 1189, 2205, 2511, 6273, 1186, 7839, 28040, 1388, 17696, 2252, 5920, 13404, 6959, 244, 4788, 1214, 1778, 1610, 1257, 2605, 184, 1399, 26045, 1222, 1374, 1784, 195, 1175, 210, 4847, 172, 1107, 1897, 2296, 119, 488, 124, 131, 131, 132, 1496, 1805, 6106, 488, 126, 3617, 2567, 31773, 5299, 3076, 1125, 1158, 22591, 189, 21987, 1167, 27941, 21086, 1258, 1314, 1248, 1141, 17922, 1175, 210, 1200, 1542, 5485, 488, 124, 131, 132, 124, 1576, 5623, 9481, 1436, 1610, 1257, 8179, 18983, 1187, 244, 24857, 1222, 1374, 1784, 195, 1125, 22757, 179, 1261, 5639, 23066, 2094, 1167, 10676, 1314, 20717, 1486, 195, 2040, 7422, 1248, 1141, 17922, 1167, 7980, 1248, 25322, 1462, 9663, 13449, 1808, 5370, 1104, 19649, 5291, 16801, 1125, 3870, 1635, 119, 488, 124, 132, 128, 129, 1808, 10947, 1298, 4473, 185, 1237, 4377, 16801, 7162, 1303, 16324, 1180, 1148, 1673, 1116, 1214, 1194, 8491, 3144, 2576, 1428, 174, 1396, 192, 1125, 1440, 12630, 26883, 1197, 5370, 1104, 19649, 1690, 10450, 1299, 3977, 1357, 1915, 3164, 1288, 1915, 8563, 14441, 9811, 1167, 1288, 9811, 8563, 14441, 1288, 9811, 1382, 2914, 9811, 3164, 1288, 9811, 1382, 2914, 1915, 1617, 1194, 31160, 1299, 3977, 1357, 7353, 3164, 1288, 7353, 8563, 14441, 1288, 7353, 1382, 1440, 2914, 1915, 3164, 1288, 1915, 1382, 1440, 2914, 7353, 1617, 1194, 31160, 1299, 3977, 1357, 20454, 3164, 1288, 4715, 8563, 14441, 20454, 4392, 1167, 1288, 4715, 31491, 14441, 20454, 2306, 1167, 4715, 1667, 1617, 1194, 31160, 1299, 3977, 1357, 2511, 1123, 1186, 1999, 1219, 2532, 1199, 3164, 1999, 1219, 4804, 1186, 2511, 1470, 2851, 14441, 3811, 7477, 24219, 1300, 2320, 3164, 1288, 3358, 1315, 2166, 1450, 18615, 7477, 1617, 1194, 31160, 1299, 3977, 1357, 9811, 3163, 4411, 3164, 1288, 3163, 1278, 8563, 14441, 9811, 30326, 1167, 1288, 16284, 1382, 1617, 1194, 31160, 1299, 3977, 1357, 1844, 30326, 1186, 3163, 16274, 3164, 3163, 4411, 1186, 2811, 1199, 1617, 14441, 22057, 1126, 1170, 30326, 1571, 24314, 1623, 3164, 1281, 30004, 1123, 1186, 8355, 6387, 1617, 1194, 31160, 1299, 3977, 1357, 5714, 1561, 2492, 2130, 31019, 7763, 14441, 4040, 1123, 1125, 1127, 13639, 1256, 4534, 8432, 3164, 1125, 8432, 1256, 1127, 13639, 1617, 1194, 31160, 1299, 3977, 1357, 1915, 1170, 1408, 12073, 1527, 1915, 1170, 2864, 3164, 1357, 1186, 1299, 1170, 4374, 7873, 1979, 1617, 5532, 1354, 16718, 12662, 7849, 1902, 2167, 1250, 1488, 7269, 7997, 4326, 20120, 2605, 31958, 1262, 20120, 19101, 1438, 2605, 31958, 1262, 1167, 12304, 18211, 1125, 1264, 4437, 1266, 3400, 1186, 2798, 488, 124, 132, 124, 124, 1266, 3400, 1188, 4847, 172, 1107, 1897, 2296, 6064, 1467, 1186, 488, 124, 132, 132, 127, 32001, 1424, 32000, 20036, 2278, 19191, 4304, 2733, 119, 1874, 1125, 1264, 4437, 1125, 7529, 1195, 1414, 17851, 1494, 1222, 1374, 1784, 4951, 1299, 1189, 15644, 5485, 30771, 1167, 12304, 20120, 5252, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 1188, 4847, 172, 1107, 1897, 2296, 1167, 4541, 1186, 488, 124, 132, 132, 127, 14231, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1299, 5252, 1188, 4847, 172, 1107, 1897, 2296, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 121, 1768, 4393, 1370, 1186, 3691, 1227, 4742, 16815, 1301, 11380, 7745, 172, 1127, 6909, 21086, 1258, 1314, 1248, 1141, 1134, 2982, 1893, 1647, 22368, 2163, 1125, 1200, 1542, 5485, 12459, 1125, 18242, 1158, 13702, 1188, 1158, 3011, 2519, 3391, 1176, 8130, 1125, 17895, 14921, 13870, 1731, 1167, 2368, 3173, 5738, 1186, 2605, 12945, 5650, 2585, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1110, 8121, 1207, 1408, 13418, 4092, 1125, 1561, 2492, 1313, 1318, 17030, 30831, 31265, 5464, 1186, 13702, 5867, 189, 1250, 1717, 1496, 3458, 4092, 1408, 14429, 1527, 11051, 1767, 1909, 8787, 11712, 1213, 1245, 1188, 6659, 1276, 1538, 1303, 1125, 4847, 172, 1107, 1897, 2296, 116, 1256, 2368, 1320, 4612, 3393, 1300, 1189, 27214, 17030, 1188, 1350, 1243, 3706, 27404, 1158, 3011, 1227, 13640, 1125, 1594, 6005, 11637, 1300, 1170, 27214, 5997, 8255, 1527, 2888, 1123, 1318, 3968, 1256, 8753, 3260, 1737, 2038, 1188, 3712, 14249, 3281, 6780, 1188, 16241, 7552, 2136, 1594, 5541, 3202, 3701, 1527, 16773, 1594, 1675, 2433, 1170, 17849, 3177, 1315, 16855, 1125, 1198, 1444, 2818, 1188, 6721, 2585, 1527, 1844, 1909, 28407, 1856, 19383, 2040, 1527, 13300, 1188, 1125, 5087, 2264, 1376, 12891, 4505, 1167, 1299, 18640, 10079, 2519, 11183, 1197, 1329, 187, 7198, 1554, 1125, 6545, 1125, 488, 124, 127, 120, 124, 131, 8273, 2119, 1188, 1158, 3011, 2519, 6666, 1469, 1158, 16176, 15493, 1125, 3550, 13841, 1167, 1158, 5038, 15493, 1518, 1199, 1569, 192, 7641, 1965, 3365, 3958, 1274, 1189, 2205, 2511, 6273, 1186, 7839, 28040, 1388, 17696, 2252, 5920, 13404, 6959, 244, 4788, 1214, 1778, 1610, 1257, 2605, 184, 1399, 26045, 1222, 1374, 1784, 195, 1175, 210, 4847, 172, 1107, 1897, 2296, 119, 488, 124, 131, 131, 132, 1496, 1805, 6106, 488, 126, 3617, 2567, 31773, 5299, 3076, 1125, 1158, 22591, 189, 21987, 1167, 27941, 21086, 1258, 1314, 1248, 1141, 17922, 1175, 210, 1200, 1542, 5485, 488, 124, 131, 132, 124, 1576, 5623, 9481, 1436, 1610, 1257, 8179, 18983, 1187, 244, 24857, 1222, 1374, 1784, 195, 1125, 22757, 179, 1261, 5639, 23066, 2094, 1167, 10676, 1314, 20717, 1486, 195, 2040, 7422, 1248, 1141, 17922, 1167, 7980, 1248, 25322, 1462, 9663, 13449, 1808, 5370, 1104, 19649, 5291, 16801, 1125, 3870, 1635, 119, 488, 124, 132, 128, 129, 1808, 10947, 1298, 4473, 185, 1237, 4377, 16801, 7162, 1303, 16324, 1180, 1148, 1673, 1116, 1214, 1194, 8491, 3144, 2576, 1428, 174, 1396, 192, 1125, 1440, 12630, 26883, 1197, 5370, 1104, 19649, 1690, 10450, 1299, 3977, 1357, 1915, 3164, 1288, 1915, 8563, 14441, 9811, 1167, 1288, 9811, 8563, 14441, 1288, 9811, 1382, 2914, 9811, 3164, 1288, 9811, 1382, 2914, 1915, 1617, 1194, 31160, 1299, 3977, 1357, 7353, 3164, 1288, 7353, 8563, 14441, 1288, 7353, 1382, 1440, 2914, 1915, 3164, 1288, 1915, 1382, 1440, 2914, 7353, 1617, 1194, 31160, 1299, 3977, 1357, 20454, 3164, 1288, 4715, 8563, 14441, 20454, 4392, 1167, 1288, 4715, 31491, 14441, 20454, 2306, 1167, 4715, 1667, 1617, 1194, 31160, 1299, 3977, 1357, 2511, 1123, 1186, 1999, 1219, 2532, 1199, 3164, 1999, 1219, 4804, 1186, 2511, 1470, 2851, 14441, 3811, 7477, 24219, 1300, 2320, 3164, 1288, 3358, 1315, 2166, 1450, 18615, 7477, 1617, 1194, 31160, 1299, 3977, 1357, 9811, 3163, 4411, 3164, 1288, 3163, 1278, 8563, 14441, 9811, 30326, 1167, 1288, 16284, 1382, 1617, 1194, 31160, 1299, 3977, 1357, 1844, 30326, 1186, 3163, 16274, 3164, 3163, 4411, 1186, 2811, 1199, 1617, 14441, 22057, 1126, 1170, 30326, 1571, 24314, 1623, 3164, 1281, 30004, 1123, 1186, 8355, 6387, 1617, 1194, 31160, 1299, 3977, 1357, 5714, 1561, 2492, 2130, 31019, 7763, 14441, 4040, 1123, 1125, 1127, 13639, 1256, 4534, 8432, 3164, 1125, 8432, 1256, 1127, 13639, 1617, 1194, 31160, 1299, 3977, 1357, 1915, 1170, 1408, 12073, 1527, 1915, 1170, 2864, 3164, 1357, 1186, 1299, 1170, 4374, 7873, 1979, 1617, 5532, 1354, 16718, 12662, 7849, 1902, 2167, 1250, 1488, 7269, 7997, 4326, 20120, 2605, 31958, 1262, 20120, 19101, 1438, 2605, 31958, 1262, 1167, 12304, 18211, 1125, 1264, 4437, 1266, 3400, 1186, 2798, 488, 124, 132, 124, 124, 1266, 3400, 1188, 4847, 172, 1107, 1897, 2296, 6064, 1467, 1186, 488, 124, 132, 132, 127, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2278, 19191, 4304, 2733, 119, 1874, 1125, 1264, 4437, 1125, 7529, 1195, 1414, 17851, 1494, 1222, 1374, 1784, 4951, 1299, 1189, 15644, 5485, 30771, 1167, 12304, 20120, 5252, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 1188, 4847, 172, 1107, 1897, 2296, 1167, 4541, 1186, 488, 124, 132, 132, 127, 14231, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1299, 5252, 1188, 4847, 172, 1107, 1897, 2296, 1170, 488, 124, 128, 2798, 488, 124, 132, 124, 124, 121, 1768, 4393, 1370, 1186, 3691, 1227, 4742, 16815, 1301, 11380, 7745, 172, 1127, 6909, 21086, 1258, 1314, 1248, 1141, 1134, 2982, 1893, 1647, 22368, 2163, 1125, 1200, 1542, 5485, 12459, 1125, 18242, 1158, 13702, 1188, 1158, 3011, 2519, 3391, 1176, 8130, 1125, 17895, 14921, 13870, 1731, 1167, 2368, 3173, 5738, 1186, 2605, 12945, 5650, 2585, 7529, 1195, 1414, 1222, 1374, 1784, 195, 1110, 8121, 1207, 1408, 13418, 4092, 1125, 1561, 2492, 1313, 1318, 17030, 30831, 31265, 5464, 1186, 13702, 5867, 189, 1250, 1717, 1496, 3458, 4092, 1408, 14429, 1527, 11051, 1767, 1909, 8787, 11712, 1213, 1245, 1188, 6659, 1276, 1538, 1303, 1125, 4847, 172, 1107, 1897, 2296, 116, 1256, 2368, 1320, 4612, 3393, 1300, 1189, 27214, 17030, 1188, 1350, 1243, 3706, 27404, 1158, 3011, 1227, 13640, 1125, 1594, 6005, 11637, 1300, 1170, 27214, 5997, 8255, 1527, 2888, 1123, 1318, 3968, 1256, 8753, 3260, 1737, 2038, 1188, 3712, 14249, 3281, 6780, 1188, 16241, 7552, 2136, 1594, 5541, 3202, 3701, 1527, 16773, 1594, 1675, 2433, 1170, 17849, 3177, 1315, 16855, 1125, 1198, 1444, 2818, 1188, 6721, 2585, 1527, 1844, 1909, 28407, 1856, 19383, 2040, 1527, 13300, 1188, 1125, 5087, 2264, 1376, 12891, 4505, 1167, 1299, 18640, 10079, 2519, 11183, 1197, 1329, 187, 7198, 1554, 1125, 6545, 1125, 488, 124, 127, 120, 124, 131, 8273, 2119, 1188, 1158, 3011, 2519, 6666, 1469, 1158, 16176, 15493, 1125, 3550, 13841, 1167, 1158, 5038, 15493, 1518, 1199, 1569, 192, 7641, 1965, 3365, 3958, 1274, 1189, 2205, 2511, 6273, 1186, 7839, 28040, 1388, 17696, 2252, 5920, 13404, 6959, 244, 4788, 1214, 1778, 1610, 1257, 2605, 184, 1399, 26045, 1222, 1374, 1784, 195, 1175, 210, 4847, 172, 1107, 1897, 2296, 119, 488, 124, 131, 131, 132, 1496, 1805, 6106, 488, 126, 3617, 2567, 31773, 5299, 3076, 1125, 1158, 22591, 189, 21987, 1167, 27941, 21086, 1258, 1314, 1248, 1141, 17922, 1175, 210, 1200, 1542, 5485, 488, 124, 131, 132, 124, 1576, 5623, 9481, 1436, 1610, 1257, 8179, 18983, 1187, 244, 24857, 1222, 1374, 1784, 195, 1125, 22757, 179, 1261, 5639, 23066, 2094, 1167, 10676, 1314, 20717, 1486, 195, 2040, 7422, 1248, 1141, 17922, 1167, 7980, 1248, 25322, 1462, 9663, 13449, 1808, 5370, 1104, 19649, 5291, 16801, 1125, 3870, 1635, 119, 488, 124, 132, 128, 129, 1808, 10947, 1298, 4473, 185, 1237, 4377, 16801, 7162, 1303, 16324, 1180, 1148, 1673, 1116, 1214, 1194, 8491, 3144, 2576, 1428, 174, 1396, 192, 1125, 1440, 12630, 26883, 1197, 5370, 1104, 19649, 1690, 10450, 1299, 3977, 1357, 1915, 3164, 1288, 1915, 8563, 14441, 9811, 1167, 1288, 9811, 8563, 14441, 1288, 9811, 1382, 2914, 9811, 3164, 1288, 9811, 1382, 2914, 1915, 1617, 1194, 31160, 1299, 3977, 1357, 7353, 3164, 1288, 7353, 8563, 14441, 1288, 7353, 1382, 1440, 2914, 1915, 3164, 1288, 1915, 1382, 1440, 2914, 7353, 1617, 1194, 31160, 1299, 3977, 1357, 20454, 3164, 1288, 4715, 8563, 14441, 20454, 4392, 1167, 1288, 4715, 31491, 14441, 20454, 2306, 1167, 4715, 1667, 1617, 1194, 31160, 1299, 3977, 1357, 2511, 1123, 1186, 1999, 1219, 2532, 1199, 3164, 1999, 1219, 4804, 1186, 2511, 1470, 2851, 14441, 3811, 7477, 24219, 1300, 2320, 3164, 1288, 3358, 1315, 2166, 1450, 18615, 7477, 1617, 1194, 31160, 1299, 3977, 1357, 9811, 3163, 4411, 3164, 1288, 3163, 1278, 8563, 14441, 9811, 30326, 1167, 1288, 16284, 1382, 1617, 1194, 31160, 1299, 3977, 1357, 1844, 30326, 1186, 3163, 16274, 3164, 3163, 4411, 1186, 2811, 1199, 1617, 14441, 22057, 1126, 1170, 30326, 1571, 24314, 1623, 3164, 1281, 30004, 1123, 1186, 8355, 6387, 1617, 1194, 31160, 1299, 3977, 1357, 5714, 1561, 2492, 2130, 31019, 7763, 14441, 4040, 1123, 1125, 1127, 13639, 1256, 4534, 8432, 3164, 1125, 8432, 1256, 1127, 13639, 1617, 1194, 31160, 1299, 3977, 1357, 1915, 1170, 1408, 12073, 1527, 1915, 1170, 2864, 3164, 1357, 1186, 1299, 1170, 4374, 7873, 1979, 1617, 5532, 1354, 16718, 12662, 7849, 1902, 2167, 1250, 1488, 7269, 7997, 4326, 20120, 2605, 31958, 1262, 20120, 19101, 1438, 2605, 31958, 1262, 1167, 12304, 18211, 1125, 1264, 4437, 1266, 3400, 1186, 2798, 488, 124, 132, 124, 124, 1266, 3400, 1188, 4847, 172, 1107, 1897, 2296, 6064, 1467, 1186, 488, 124, 132, 132, 127, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 157, 23883, 9339, 189, 1462, 1175, 124, 130, 131, 123, 458, 124, 131, 129, 127, 116, 1299, 1189, 3726, 1374, 1125, 21090, 14898, 1167, 1189, 4199, 12001, 11535, 1227, 6601, 1135, 4861, 1383, 2596, 1768, 1110, 12866, 1170, 9316, 1125, 1282, 10025, 4856, 3193, 12009, 3280, 1125, 6480, 20876, 1379, 2181, 17209, 1207, 4199, 4195, 1936, 6087, 1527, 1299, 1189, 1197, 22222, 1188, 2782, 14151, 1318, 11876, 1227, 6772, 120, 244, 4601, 119, 1469, 1561, 20438, 1125, 29225, 11986, 1348, 9979, 3701, 1167, 1125, 1158, 20438, 1125, 1158, 5219, 20268, 193, 1478, 8732, 1462, 1303, 7568, 1424, 159, 1121, 189, 1462, 16885, 1158, 3453, 3451, 1227, 9316, 1125, 1282, 10025, 4856, 3193, 1186, 488, 124, 131, 124, 128, 1313, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 2069, 2165, 2567, 1158, 3451, 1408, 17874, 1125, 6480, 20876, 23288, 8370, 1373, 488, 124, 131, 126, 126, 1167, 488, 124, 131, 127, 127, 119, 6927, 9339, 189, 1462, 14065, 1996, 1188, 1996, 1300, 1909, 11326, 6772, 120, 7197, 1475, 13989, 1167, 15574, 1170, 3151, 7704, 1606, 11990, 1524, 2714, 1170, 6772, 120, 244, 4601, 1257, 13625, 1145, 3293, 1915, 22092, 1300, 1207, 7779, 1125, 5753, 4601, 11345, 8675, 6060, 3365, 1299, 1606, 6596, 3133, 1362, 6060, 3365, 1275, 5026, 1189, 31822, 1731, 1496, 1527, 1915, 3042, 6594, 1189, 4041, 1125, 4274, 1125, 2404, 2988, 5114, 2726, 1357, 10930, 1439, 1207, 7779, 1125, 5753, 4601, 1186, 1561, 12552, 9357, 9339, 189, 1462, 1186, 1275, 2144, 1309, 1158, 3657, 1158, 1408, 7253, 1364, 1299, 3042, 5147, 8035, 1158, 29225, 11986, 1348, 16796, 1257, 1186, 6514, 8406, 1189, 1142, 1128, 1797, 1692, 1170, 6772, 120, 244, 4601, 119, 1189, 3293, 2368, 1398, 5295, 1188, 1158, 1606, 12128, 1524, 2519, 3247, 1197, 21791, 1188, 5753, 4601, 1215, 1909, 8476, 29637, 1318, 8710, 2254, 4726, 8064, 1303, 1188, 1197, 13936, 8443, 11181, 6087, 9339, 189, 1462, 15644, 1370, 6713, 1121, 189, 1462, 1509, 124, 131, 127, 127, 2371, 5701, 488, 125, 131, 3568, 1606, 12073, 1189, 3293, 6564, 25176, 1197, 4274, 1125, 2404, 2988, 1300, 1207, 27949, 4864, 14661, 11781, 1309, 2008, 2905, 3293, 4222, 1129, 1125, 7722, 30209, 1909, 26056, 1189, 7200, 3293, 20116, 1112, 1318, 1408, 3828, 16734, 1125, 4972, 1541, 2671, 15828, 2274, 5026, 1189, 4041, 1125, 3248, 1408, 15740, 1309, 1909, 8918, 1554, 1167, 1666, 1117, 3310, 1186, 18032, 1227, 2513, 2254, 13860, 15762, 1125, 1594, 8915, 1170, 2513, 2254, 1408, 3828, 13860, 1125, 2498, 6771, 3711, 1524, 6749, 159, 1121, 189, 1462, 4346, 1502, 3144, 3547, 1186, 19593, 3790, 8943, 1227, 7252, 1835, 26135, 19394, 1167, 17255, 2036, 3066, 17255, 172, 25176, 1189, 11489, 1300, 1207, 27949, 11181, 6087, 1606, 23905, 2804, 2254, 16060, 1188, 1271, 1528, 1162, 10100, 1303, 1300, 1207, 3519, 11181, 2097, 1281, 23647, 172, 1300, 1207, 21572, 11181, 10772, 1643, 23724, 1125, 26135, 19394, 2934, 30286, 1227, 6408, 1125, 1158, 4398, 1965, 1158, 23724, 1125, 17255, 172, 2934, 1834, 189, 1277, 1125, 1440, 2076, 6408, 1524, 15686, 124, 131, 127, 127, 2371, 5701, 488, 126, 130, 1576, 28769, 2074, 6098, 1318, 1152, 1647, 1881, 2035, 3725, 7328, 1440, 1309, 4172, 26091, 1516, 11330, 1367, 3383, 1186, 1561, 13325, 1186, 4989, 1199, 1207, 27182, 1125, 29963, 1197, 7779, 1125, 5753, 4601, 121, 2576, 10618, 1125, 9339, 189, 1462, 2934, 6349, 23308, 1109, 2357, 7328, 1158, 3451, 18078, 1215, 17812, 16612, 1186, 488, 124, 132, 128, 123, 119, 1357, 5714, 1318, 16885, 8287, 9455, 14061, 1125, 29963, 1227, 4041, 16476, 1197, 4274, 1125, 2404, 2988, 1186, 2321, 1125, 21524, 6338, 1348, 1125, 1158, 2107, 1897, 1304, 10294, 1125, 5753, 22636, 1657, 4511, 1440, 11823, 1282, 6107, 2365, 1125, 9339, 189, 1462, 4933, 1282, 1129, 22118, 1158, 1408, 4726, 1632, 1317, 9316, 1125, 6772, 120, 244, 4601, 8732, 1565, 1430, 106, 1410, 10066, 4045, 13347, 9904, 119, 488, 124, 131, 123, 131, 106, 12550, 1456, 1575, 1539, 186, 17149, 1110, 1306, 1153, 10448, 1175, 124, 131, 123, 132, 1496, 7808, 106, 1645, 10947, 1242, 1238, 29584, 1171, 26762, 1165, 4899, 19821, 488, 124, 131, 124, 125, 106, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 488, 124, 131, 124, 128, 106, 1645, 10947, 1242, 1238, 1135, 19210, 1161, 1997, 2783, 119, 488, 124, 131, 125, 124, 106, 1200, 1706, 1201, 1238, 29178, 30513, 1762, 488, 124, 131, 126, 126, 106, 2502, 1325, 1741, 1171, 1748, 13227, 2071, 488, 124, 131, 126, 127, 106, 1410, 16176, 30757, 1171, 20925, 3043, 27221, 1161, 18988, 6927, 3795, 1140, 1361, 9742, 1161, 488, 124, 131, 127, 127, 119, 488, 124, 131, 127, 127, 106, 3859, 1397, 190, 1238, 20609, 1171, 3859, 10645, 488, 124, 131, 128, 125, 1194, 6535, 19297, 1186, 2720, 106, 1814, 30347, 1300, 1158, 4052, 1125, 1158, 23724, 119, 1441, 5108, 10563, 1200, 3595, 3174, 6721, 7022, 2097, 1293, 2162, 4280, 4679, 121, 1606, 2605, 5095, 190, 1300, 27818, 3133, 488, 125, 123, 125, 126, 9323, 1167, 16828, 5825, 106, 6927, 9339, 189, 1462, 1300, 1170, 1865, 11469, 1161, 21819, 1545, 4648, 23435, 3300, 2038, 14898, 1227, 26851, 6298, 5526, 3300, 2038, 13753, 8156, 1186, 488, 124, 130, 131, 123, 9317, 1186, 2738, 488, 124, 131, 129, 127, 5061, 30585, 1199, 1125, 23879, 19394, 1188, 1158, 15890, 1197, 8742, 9745, 28668, 1227, 488, 131, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 123, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 124, 176, 12229, 1227, 21144, 31894, 1125, 1158, 11801, 4911, 23631, 32001, 1424, 32000, 20036, 1750, 23883, 9339, 189, 1462, 1175, 124, 130, 131, 123, 458, 124, 131, 129, 127, 116, 1299, 1189, 3726, 1374, 1125, 21090, 14898, 1167, 1189, 4199, 12001, 11535, 1227, 6601, 1135, 4861, 1383, 2596, 1768, 1110, 12866, 1170, 9316, 1125, 1282, 10025, 4856, 3193, 12009, 3280, 1125, 6480, 20876, 1379, 2181, 17209, 1207, 4199, 4195, 1936, 6087, 1527, 1299, 1189, 1197, 22222, 1188, 2782, 14151, 1318, 11876, 1227, 6772, 120, 244, 4601, 119, 1469, 1561, 20438, 1125, 29225, 11986, 1348, 9979, 3701, 1167, 1125, 1158, 20438, 1125, 1158, 5219, 20268, 193, 1478, 8732, 1462, 1303, 7568, 1424, 159, 1121, 189, 1462, 16885, 1158, 3453, 3451, 1227, 9316, 1125, 1282, 10025, 4856, 3193, 1186, 488, 124, 131, 124, 128, 1313, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 2069, 2165, 2567, 1158, 3451, 1408, 17874, 1125, 6480, 20876, 23288, 8370, 1373, 488, 124, 131, 126, 126, 1167, 488, 124, 131, 127, 127, 119, 6927, 9339, 189, 1462, 14065, 1996, 1188, 1996, 1300, 1909, 11326, 6772, 120, 7197, 1475, 13989, 1167, 15574, 1170, 3151, 7704, 1606, 11990, 1524, 2714, 1170, 6772, 120, 244, 4601, 1257, 13625, 1145, 3293, 1915, 22092, 1300, 1207, 7779, 1125, 5753, 4601, 11345, 8675, 6060, 3365, 1299, 1606, 6596, 3133, 1362, 6060, 3365, 1275, 5026, 1189, 31822, 1731, 1496, 1527, 1915, 3042, 6594, 1189, 4041, 1125, 4274, 1125, 2404, 2988, 5114, 2726, 1357, 10930, 1439, 1207, 7779, 1125, 5753, 4601, 1186, 1561, 12552, 9357, 9339, 189, 1462, 1186, 1275, 2144, 1309, 1158, 3657, 1158, 1408, 7253, 1364, 1299, 3042, 5147, 8035, 1158, 29225, 11986, 1348, 16796, 1257, 1186, 6514, 8406, 1189, 1142, 1128, 1797, 1692, 1170, 6772, 120, 244, 4601, 119, 1189, 3293, 2368, 1398, 5295, 1188, 1158, 1606, 12128, 1524, 2519, 3247, 1197, 21791, 1188, 5753, 4601, 1215, 1909, 8476, 29637, 1318, 8710, 2254, 4726, 8064, 1303, 1188, 1197, 13936, 8443, 11181, 6087, 9339, 189, 1462, 15644, 1370, 6713, 1121, 189, 1462, 1509, 124, 131, 127, 127, 2371, 5701, 488, 125, 131, 3568, 1606, 12073, 1189, 3293, 6564, 25176, 1197, 4274, 1125, 2404, 2988, 1300, 1207, 27949, 4864, 14661, 11781, 1309, 2008, 2905, 3293, 4222, 1129, 1125, 7722, 30209, 1909, 26056, 1189, 7200, 3293, 20116, 1112, 1318, 1408, 3828, 16734, 1125, 4972, 1541, 2671, 15828, 2274, 5026, 1189, 4041, 1125, 3248, 1408, 15740, 1309, 1909, 8918, 1554, 1167, 1666, 1117, 3310, 1186, 18032, 1227, 2513, 2254, 13860, 15762, 1125, 1594, 8915, 1170, 2513, 2254, 1408, 3828, 13860, 1125, 2498, 6771, 3711, 1524, 6749, 159, 1121, 189, 1462, 4346, 1502, 3144, 3547, 1186, 19593, 3790, 8943, 1227, 7252, 1835, 26135, 19394, 1167, 17255, 2036, 3066, 17255, 172, 25176, 1189, 11489, 1300, 1207, 27949, 11181, 6087, 1606, 23905, 2804, 2254, 16060, 1188, 1271, 1528, 1162, 10100, 1303, 1300, 1207, 3519, 11181, 2097, 1281, 23647, 172, 1300, 1207, 21572, 11181, 10772, 1643, 23724, 1125, 26135, 19394, 2934, 30286, 1227, 6408, 1125, 1158, 4398, 1965, 1158, 23724, 1125, 17255, 172, 2934, 1834, 189, 1277, 1125, 1440, 2076, 6408, 1524, 15686, 124, 131, 127, 127, 2371, 5701, 488, 126, 130, 1576, 28769, 2074, 6098, 1318, 1152, 1647, 1881, 2035, 3725, 7328, 1440, 1309, 4172, 26091, 1516, 11330, 1367, 3383, 1186, 1561, 13325, 1186, 4989, 1199, 1207, 27182, 1125, 29963, 1197, 7779, 1125, 5753, 4601, 121, 2576, 10618, 1125, 9339, 189, 1462, 2934, 6349, 23308, 1109, 2357, 7328, 1158, 3451, 18078, 1215, 17812, 16612, 1186, 488, 124, 132, 128, 123, 119, 1357, 5714, 1318, 16885, 8287, 9455, 14061, 1125, 29963, 1227, 4041, 16476, 1197, 4274, 1125, 2404, 2988, 1186, 2321, 1125, 21524, 6338, 1348, 1125, 1158, 2107, 1897, 1304, 10294, 1125, 5753, 22636, 1657, 4511, 1440, 11823, 1282, 6107, 2365, 1125, 9339, 189, 1462, 4933, 1282, 1129, 22118, 1158, 1408, 4726, 1632, 1317, 9316, 1125, 6772, 120, 244, 4601, 8732, 1565, 1430, 106, 1410, 10066, 4045, 13347, 9904, 119, 488, 124, 131, 123, 131, 106, 12550, 1456, 1575, 1539, 186, 17149, 1110, 1306, 1153, 10448, 1175, 124, 131, 123, 132, 1496, 7808, 106, 1645, 10947, 1242, 1238, 29584, 1171, 26762, 1165, 4899, 19821, 488, 124, 131, 124, 125, 106, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 488, 124, 131, 124, 128, 106, 1645, 10947, 1242, 1238, 1135, 19210, 1161, 1997, 2783, 119, 488, 124, 131, 125, 124, 106, 1200, 1706, 1201, 1238, 29178, 30513, 1762, 488, 124, 131, 126, 126, 106, 2502, 1325, 1741, 1171, 1748, 13227, 2071, 488, 124, 131, 126, 127, 106, 1410, 16176, 30757, 1171, 20925, 3043, 27221, 1161, 18988, 6927, 3795, 1140, 1361, 9742, 1161, 488, 124, 131, 127, 127, 119, 488, 124, 131, 127, 127, 106, 3859, 1397, 190, 1238, 20609, 1171, 3859, 10645, 488, 124, 131, 128, 125, 1194, 6535, 19297, 1186, 2720, 106, 1814, 30347, 1300, 1158, 4052, 1125, 1158, 23724, 119, 1441, 5108, 10563, 1200, 3595, 3174, 6721, 7022, 2097, 1293, 2162, 4280, 4679, 121, 1606, 2605, 5095, 190, 1300, 27818, 3133, 488, 125, 123, 125, 126, 9323, 1167, 16828, 5825, 106, 6927, 9339, 189, 1462, 1300, 1170, 1865, 11469, 1161, 21819, 1545, 4648, 23435, 3300, 2038, 14898, 1227, 26851, 6298, 5526, 3300, 2038, 13753, 8156, 1186, 488, 124, 130, 131, 123, 9317, 1186, 2738, 488, 124, 131, 129, 127, 5061, 30585, 1199, 1125, 23879, 19394, 1188, 1158, 15890, 1197, 8742, 9745, 28668, 1227, 488, 131, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 123, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 124, 176, 12229, 1227, 21144, 31894, 1125, 1158, 11801, 4911, 23631, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1750, 23883, 9339, 189, 1462, 1175, 124, 130, 131, 123, 458, 124, 131, 129, 127, 116, 1299, 1189, 3726, 1374, 1125, 21090, 14898, 1167, 1189, 4199, 12001, 11535, 1227, 6601, 1135, 4861, 1383, 2596, 1768, 1110, 12866, 1170, 9316, 1125, 1282, 10025, 4856, 3193, 12009, 3280, 1125, 6480, 20876, 1379, 2181, 17209, 1207, 4199, 4195, 1936, 6087, 1527, 1299, 1189, 1197, 22222, 1188, 2782, 14151, 1318, 11876, 1227, 6772, 120, 244, 4601, 119, 1469, 1561, 20438, 1125, 29225, 11986, 1348, 9979, 3701, 1167, 1125, 1158, 20438, 1125, 1158, 5219, 20268, 193, 1478, 8732, 1462, 1303, 7568, 1424, 159, 1121, 189, 1462, 16885, 1158, 3453, 3451, 1227, 9316, 1125, 1282, 10025, 4856, 3193, 1186, 488, 124, 131, 124, 128, 1313, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 2069, 2165, 2567, 1158, 3451, 1408, 17874, 1125, 6480, 20876, 23288, 8370, 1373, 488, 124, 131, 126, 126, 1167, 488, 124, 131, 127, 127, 119, 6927, 9339, 189, 1462, 14065, 1996, 1188, 1996, 1300, 1909, 11326, 6772, 120, 7197, 1475, 13989, 1167, 15574, 1170, 3151, 7704, 1606, 11990, 1524, 2714, 1170, 6772, 120, 244, 4601, 1257, 13625, 1145, 3293, 1915, 22092, 1300, 1207, 7779, 1125, 5753, 4601, 11345, 8675, 6060, 3365, 1299, 1606, 6596, 3133, 1362, 6060, 3365, 1275, 5026, 1189, 31822, 1731, 1496, 1527, 1915, 3042, 6594, 1189, 4041, 1125, 4274, 1125, 2404, 2988, 5114, 2726, 1357, 10930, 1439, 1207, 7779, 1125, 5753, 4601, 1186, 1561, 12552, 9357, 9339, 189, 1462, 1186, 1275, 2144, 1309, 1158, 3657, 1158, 1408, 7253, 1364, 1299, 3042, 5147, 8035, 1158, 29225, 11986, 1348, 16796, 1257, 1186, 6514, 8406, 1189, 1142, 1128, 1797, 1692, 1170, 6772, 120, 244, 4601, 119, 1189, 3293, 2368, 1398, 5295, 1188, 1158, 1606, 12128, 1524, 2519, 3247, 1197, 21791, 1188, 5753, 4601, 1215, 1909, 8476, 29637, 1318, 8710, 2254, 4726, 8064, 1303, 1188, 1197, 13936, 8443, 11181, 6087, 9339, 189, 1462, 15644, 1370, 6713, 1121, 189, 1462, 1509, 124, 131, 127, 127, 2371, 5701, 488, 125, 131, 3568, 1606, 12073, 1189, 3293, 6564, 25176, 1197, 4274, 1125, 2404, 2988, 1300, 1207, 27949, 4864, 14661, 11781, 1309, 2008, 2905, 3293, 4222, 1129, 1125, 7722, 30209, 1909, 26056, 1189, 7200, 3293, 20116, 1112, 1318, 1408, 3828, 16734, 1125, 4972, 1541, 2671, 15828, 2274, 5026, 1189, 4041, 1125, 3248, 1408, 15740, 1309, 1909, 8918, 1554, 1167, 1666, 1117, 3310, 1186, 18032, 1227, 2513, 2254, 13860, 15762, 1125, 1594, 8915, 1170, 2513, 2254, 1408, 3828, 13860, 1125, 2498, 6771, 3711, 1524, 6749, 159, 1121, 189, 1462, 4346, 1502, 3144, 3547, 1186, 19593, 3790, 8943, 1227, 7252, 1835, 26135, 19394, 1167, 17255, 2036, 3066, 17255, 172, 25176, 1189, 11489, 1300, 1207, 27949, 11181, 6087, 1606, 23905, 2804, 2254, 16060, 1188, 1271, 1528, 1162, 10100, 1303, 1300, 1207, 3519, 11181, 2097, 1281, 23647, 172, 1300, 1207, 21572, 11181, 10772, 1643, 23724, 1125, 26135, 19394, 2934, 30286, 1227, 6408, 1125, 1158, 4398, 1965, 1158, 23724, 1125, 17255, 172, 2934, 1834, 189, 1277, 1125, 1440, 2076, 6408, 1524, 15686, 124, 131, 127, 127, 2371, 5701, 488, 126, 130, 1576, 28769, 2074, 6098, 1318, 1152, 1647, 1881, 2035, 3725, 7328, 1440, 1309, 4172, 26091, 1516, 11330, 1367, 3383, 1186, 1561, 13325, 1186, 4989, 1199, 1207, 27182, 1125, 29963, 1197, 7779, 1125, 5753, 4601, 121, 2576, 10618, 1125, 9339, 189, 1462, 2934, 6349, 23308, 1109, 2357, 7328, 1158, 3451, 18078, 1215, 17812, 16612, 1186, 488, 124, 132, 128, 123, 119, 1357, 5714, 1318, 16885, 8287, 9455, 14061, 1125, 29963, 1227, 4041, 16476, 1197, 4274, 1125, 2404, 2988, 1186, 2321, 1125, 21524, 6338, 1348, 1125, 1158, 2107, 1897, 1304, 10294, 1125, 5753, 22636, 1657, 4511, 1440, 11823, 1282, 6107, 2365, 1125, 9339, 189, 1462, 4933, 1282, 1129, 22118, 1158, 1408, 4726, 1632, 1317, 9316, 1125, 6772, 120, 244, 4601, 8732, 1565, 1430, 106, 1410, 10066, 4045, 13347, 9904, 119, 488, 124, 131, 123, 131, 106, 12550, 1456, 1575, 1539, 186, 17149, 1110, 1306, 1153, 10448, 1175, 124, 131, 123, 132, 1496, 7808, 106, 1645, 10947, 1242, 1238, 29584, 1171, 26762, 1165, 4899, 19821, 488, 124, 131, 124, 125, 106, 1645, 10947, 1242, 1238, 1135, 2438, 6911, 17574, 3859, 10645, 488, 124, 131, 124, 128, 106, 1645, 10947, 1242, 1238, 1135, 19210, 1161, 1997, 2783, 119, 488, 124, 131, 125, 124, 106, 1200, 1706, 1201, 1238, 29178, 30513, 1762, 488, 124, 131, 126, 126, 106, 2502, 1325, 1741, 1171, 1748, 13227, 2071, 488, 124, 131, 126, 127, 106, 1410, 16176, 30757, 1171, 20925, 3043, 27221, 1161, 18988, 6927, 3795, 1140, 1361, 9742, 1161, 488, 124, 131, 127, 127, 119, 488, 124, 131, 127, 127, 106, 3859, 1397, 190, 1238, 20609, 1171, 3859, 10645, 488, 124, 131, 128, 125, 1194, 6535, 19297, 1186, 2720, 106, 1814, 30347, 1300, 1158, 4052, 1125, 1158, 23724, 119, 1441, 5108, 10563, 1200, 3595, 3174, 6721, 7022, 2097, 1293, 2162, 4280, 4679, 121, 1606, 2605, 5095, 190, 1300, 27818, 3133, 488, 125, 123, 125, 126, 9323, 1167, 16828, 5825, 106, 6927, 9339, 189, 1462, 1300, 1170, 1865, 11469, 1161, 21819, 1545, 4648, 23435, 3300, 2038, 14898, 1227, 26851, 6298, 5526, 3300, 2038, 13753, 8156, 1186, 488, 124, 130, 131, 123, 9317, 1186, 2738, 488, 124, 131, 129, 127, 5061, 30585, 1199, 1125, 23879, 19394, 1188, 1158, 15890, 1197, 8742, 9745, 28668, 1227, 488, 131, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 123, 176, 12229, 1227, 21144, 9745, 28668, 1227, 488, 124, 124, 176, 12229, 1227, 21144, 31894, 1125, 1158, 11801, 4911, 23631, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 22809, 10935, 1753, 1480, 7983, 119, 5252, 1170, 488, 128, 2798, 488, 124, 132, 129, 126, 119, 1299, 1189, 5598, 3657, 5263, 5485, 7723, 1199, 1170, 8536, 1125, 23121, 22053, 5264, 1958, 12243, 1125, 1158, 21159, 14179, 7778, 1125, 488, 125, 123, 124, 128, 1188, 488, 125, 123, 124, 132, 121, 2571, 9446, 1129, 1227, 15211, 3175, 11463, 5848, 1527, 2985, 6711, 1227, 25252, 1125, 17902, 1125, 1158, 22772, 2620, 12260, 1227, 488, 488, 128, 2247, 10750, 119, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 124, 128, 24962, 5341, 1424, 10921, 1299, 7628, 255, 7749, 1125, 1643, 31068, 9168, 6815, 5761, 119, 1313, 1158, 5962, 10691, 1277, 1125, 22028, 1214, 1167, 1125, 21455, 1643, 31068, 1313, 1816, 2076, 25109, 1768, 1110, 15363, 1318, 16956, 1125, 3090, 1188, 21455, 13598, 1119, 15876, 25886, 4096, 3657, 25268, 3031, 1170, 15599, 3175, 11463, 1230, 1188, 1158, 2321, 3365, 27254, 11041, 1323, 14277, 22053, 4617, 12243, 1125, 1158, 21159, 14179, 7778, 1323, 2391, 1197, 13118, 1125, 488, 125, 123, 124, 127, 119, 1186, 1115, 1443, 1469, 1170, 4825, 3683, 2445, 3175, 11463, 5848, 1256, 1170, 8536, 1125, 4617, 1245, 4819, 9193, 29457, 5238, 1548, 3577, 24917, 122, 10921, 15953, 17287, 1170, 3577, 22930, 1262, 13644, 1125, 9193, 3934, 173, 1706, 1167, 12611, 1165, 2554, 4279, 7542, 2008, 9359, 31228, 1297, 1753, 1480, 8952, 172, 1714, 1160, 1170, 488, 125, 123, 2749, 488, 125, 123, 124, 128, 1388, 10921, 1299, 1170, 6513, 1125, 25898, 1227, 488, 128, 131, 1276, 1144, 1379, 21327, 16069, 1497, 1286, 176, 8155, 488, 124, 128, 2738, 488, 125, 123, 124, 131, 119, 1753, 1480, 1466, 2689, 1207, 8288, 1690, 3175, 11463, 2026, 14226, 1188, 2873, 1229, 1189, 15599, 1317, 8536, 1125, 23121, 22053, 4613, 1958, 12243, 3691, 1317, 16487, 1125, 6279, 3104, 26787, 4172, 1252, 20374, 1712, 1388, 3159, 1150, 2094, 1104, 17322, 16274, 1594, 13838, 1186, 4083, 1309, 14277, 22053, 4613, 1958, 1245, 4819, 1753, 1480, 25098, 1318, 22892, 1378, 2205, 5373, 2598, 1303, 1469, 1170, 4617, 12243, 9193, 29457, 4790, 1186, 3247, 1188, 4262, 1197, 30498, 1430, 1125, 15364, 17955, 1227, 5097, 19888, 1186, 4262, 1753, 1480, 119, 1167, 1125, 1158, 11641, 1313, 1207, 15642, 1125, 7108, 1309, 16401, 2457, 1440, 4755, 1167, 1170, 4617, 1245, 9357, 1548, 27464, 1110, 4766, 1318, 9175, 31961, 1136, 10440, 8806, 3283, 2985, 2513, 1317, 5545, 1227, 1921, 3143, 1125, 18051, 1753, 1480, 1571, 8288, 1690, 488, 125, 123, 124, 131, 119, 1167, 5999, 15655, 3175, 11463, 2026, 1281, 1508, 22822, 1256, 2435, 1982, 3691, 121, 21262, 1125, 13859, 1594, 2627, 8087, 1256, 1753, 1480, 119, 1170, 4617, 12243, 24917, 1805, 7726, 1125, 1288, 1382, 1170, 11161, 119, 4206, 13419, 4206, 5631, 15599, 8155, 23121, 22053, 4613, 1958, 12243, 1753, 1480, 24254, 16934, 1125, 1158, 8288, 3693, 1116, 22696, 1561, 2320, 1188, 4172, 1252, 20374, 1712, 23460, 1214, 12997, 10791, 2511, 3130, 1450, 1125, 1753, 1480, 119, 1170, 3151, 8980, 6709, 1753, 1480, 119, 3031, 6711, 1227, 28637, 1125, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 126, 132, 8370, 488, 125, 123, 123, 125, 119, 1527, 2985, 12688, 1313, 1158, 4575, 1197, 8447, 2518, 1207, 4534, 10743, 20909, 1215, 1170, 1865, 17200, 3750, 8606, 6749, 23657, 244, 5279, 11185, 15948, 7364, 5825, 2093, 1753, 1480, 1226, 22527, 1323, 6755, 4877, 106, 9719, 1352, 2303, 16995, 1323, 8689, 2111, 8980, 6709, 12010, 4962, 114, 1753, 1480, 7983, 4497, 12287, 12388, 106, 18437, 1135, 29584, 1323, 14222, 1753, 1480, 106, 488, 125, 123, 123, 129, 488, 125, 123, 123, 127, 488, 125, 123, 123, 125, 488, 125, 123, 123, 123, 8769, 14582, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 3052, 9253, 1374, 1125, 1158, 1293, 6364, 5277, 1197, 9864, 26626, 1227, 15211, 3175, 11463, 1230, 1186, 21159, 14179, 7778, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 116, 32001, 1424, 32000, 20036, 1720, 22809, 10935, 1753, 1480, 7983, 119, 5252, 1170, 488, 128, 2798, 488, 124, 132, 129, 126, 119, 1299, 1189, 5598, 3657, 5263, 5485, 7723, 1199, 1170, 8536, 1125, 23121, 22053, 5264, 1958, 12243, 1125, 1158, 21159, 14179, 7778, 1125, 488, 125, 123, 124, 128, 1188, 488, 125, 123, 124, 132, 121, 2571, 9446, 1129, 1227, 15211, 3175, 11463, 5848, 1527, 2985, 6711, 1227, 25252, 1125, 17902, 1125, 1158, 22772, 2620, 12260, 1227, 488, 488, 128, 2247, 10750, 119, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 124, 128, 24962, 5341, 1424, 10921, 1299, 7628, 255, 7749, 1125, 1643, 31068, 9168, 6815, 5761, 119, 1313, 1158, 5962, 10691, 1277, 1125, 22028, 1214, 1167, 1125, 21455, 1643, 31068, 1313, 1816, 2076, 25109, 1768, 1110, 15363, 1318, 16956, 1125, 3090, 1188, 21455, 13598, 1119, 15876, 25886, 4096, 3657, 25268, 3031, 1170, 15599, 3175, 11463, 1230, 1188, 1158, 2321, 3365, 27254, 11041, 1323, 14277, 22053, 4617, 12243, 1125, 1158, 21159, 14179, 7778, 1323, 2391, 1197, 13118, 1125, 488, 125, 123, 124, 127, 119, 1186, 1115, 1443, 1469, 1170, 4825, 3683, 2445, 3175, 11463, 5848, 1256, 1170, 8536, 1125, 4617, 1245, 4819, 9193, 29457, 5238, 1548, 3577, 24917, 122, 10921, 15953, 17287, 1170, 3577, 22930, 1262, 13644, 1125, 9193, 3934, 173, 1706, 1167, 12611, 1165, 2554, 4279, 7542, 2008, 9359, 31228, 1297, 1753, 1480, 8952, 172, 1714, 1160, 1170, 488, 125, 123, 2749, 488, 125, 123, 124, 128, 1388, 10921, 1299, 1170, 6513, 1125, 25898, 1227, 488, 128, 131, 1276, 1144, 1379, 21327, 16069, 1497, 1286, 176, 8155, 488, 124, 128, 2738, 488, 125, 123, 124, 131, 119, 1753, 1480, 1466, 2689, 1207, 8288, 1690, 3175, 11463, 2026, 14226, 1188, 2873, 1229, 1189, 15599, 1317, 8536, 1125, 23121, 22053, 4613, 1958, 12243, 3691, 1317, 16487, 1125, 6279, 3104, 26787, 4172, 1252, 20374, 1712, 1388, 3159, 1150, 2094, 1104, 17322, 16274, 1594, 13838, 1186, 4083, 1309, 14277, 22053, 4613, 1958, 1245, 4819, 1753, 1480, 25098, 1318, 22892, 1378, 2205, 5373, 2598, 1303, 1469, 1170, 4617, 12243, 9193, 29457, 4790, 1186, 3247, 1188, 4262, 1197, 30498, 1430, 1125, 15364, 17955, 1227, 5097, 19888, 1186, 4262, 1753, 1480, 119, 1167, 1125, 1158, 11641, 1313, 1207, 15642, 1125, 7108, 1309, 16401, 2457, 1440, 4755, 1167, 1170, 4617, 1245, 9357, 1548, 27464, 1110, 4766, 1318, 9175, 31961, 1136, 10440, 8806, 3283, 2985, 2513, 1317, 5545, 1227, 1921, 3143, 1125, 18051, 1753, 1480, 1571, 8288, 1690, 488, 125, 123, 124, 131, 119, 1167, 5999, 15655, 3175, 11463, 2026, 1281, 1508, 22822, 1256, 2435, 1982, 3691, 121, 21262, 1125, 13859, 1594, 2627, 8087, 1256, 1753, 1480, 119, 1170, 4617, 12243, 24917, 1805, 7726, 1125, 1288, 1382, 1170, 11161, 119, 4206, 13419, 4206, 5631, 15599, 8155, 23121, 22053, 4613, 1958, 12243, 1753, 1480, 24254, 16934, 1125, 1158, 8288, 3693, 1116, 22696, 1561, 2320, 1188, 4172, 1252, 20374, 1712, 23460, 1214, 12997, 10791, 2511, 3130, 1450, 1125, 1753, 1480, 119, 1170, 3151, 8980, 6709, 1753, 1480, 119, 3031, 6711, 1227, 28637, 1125, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 126, 132, 8370, 488, 125, 123, 123, 125, 119, 1527, 2985, 12688, 1313, 1158, 4575, 1197, 8447, 2518, 1207, 4534, 10743, 20909, 1215, 1170, 1865, 17200, 3750, 8606, 6749, 23657, 244, 5279, 11185, 15948, 7364, 5825, 2093, 1753, 1480, 1226, 22527, 1323, 6755, 4877, 106, 9719, 1352, 2303, 16995, 1323, 8689, 2111, 8980, 6709, 12010, 4962, 114, 1753, 1480, 7983, 4497, 12287, 12388, 106, 18437, 1135, 29584, 1323, 14222, 1753, 1480, 106, 488, 125, 123, 123, 129, 488, 125, 123, 123, 127, 488, 125, 123, 123, 125, 488, 125, 123, 123, 123, 8769, 14582, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 3052, 9253, 1374, 1125, 1158, 1293, 6364, 5277, 1197, 9864, 26626, 1227, 15211, 3175, 11463, 1230, 1186, 21159, 14179, 7778, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 22809, 10935, 1753, 1480, 7983, 119, 5252, 1170, 488, 128, 2798, 488, 124, 132, 129, 126, 119, 1299, 1189, 5598, 3657, 5263, 5485, 7723, 1199, 1170, 8536, 1125, 23121, 22053, 5264, 1958, 12243, 1125, 1158, 21159, 14179, 7778, 1125, 488, 125, 123, 124, 128, 1188, 488, 125, 123, 124, 132, 121, 2571, 9446, 1129, 1227, 15211, 3175, 11463, 5848, 1527, 2985, 6711, 1227, 25252, 1125, 17902, 1125, 1158, 22772, 2620, 12260, 1227, 488, 488, 128, 2247, 10750, 119, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 124, 128, 24962, 5341, 1424, 10921, 1299, 7628, 255, 7749, 1125, 1643, 31068, 9168, 6815, 5761, 119, 1313, 1158, 5962, 10691, 1277, 1125, 22028, 1214, 1167, 1125, 21455, 1643, 31068, 1313, 1816, 2076, 25109, 1768, 1110, 15363, 1318, 16956, 1125, 3090, 1188, 21455, 13598, 1119, 15876, 25886, 4096, 3657, 25268, 3031, 1170, 15599, 3175, 11463, 1230, 1188, 1158, 2321, 3365, 27254, 11041, 1323, 14277, 22053, 4617, 12243, 1125, 1158, 21159, 14179, 7778, 1323, 2391, 1197, 13118, 1125, 488, 125, 123, 124, 127, 119, 1186, 1115, 1443, 1469, 1170, 4825, 3683, 2445, 3175, 11463, 5848, 1256, 1170, 8536, 1125, 4617, 1245, 4819, 9193, 29457, 5238, 1548, 3577, 24917, 122, 10921, 15953, 17287, 1170, 3577, 22930, 1262, 13644, 1125, 9193, 3934, 173, 1706, 1167, 12611, 1165, 2554, 4279, 7542, 2008, 9359, 31228, 1297, 1753, 1480, 8952, 172, 1714, 1160, 1170, 488, 125, 123, 2749, 488, 125, 123, 124, 128, 1388, 10921, 1299, 1170, 6513, 1125, 25898, 1227, 488, 128, 131, 1276, 1144, 1379, 21327, 16069, 1497, 1286, 176, 8155, 488, 124, 128, 2738, 488, 125, 123, 124, 131, 119, 1753, 1480, 1466, 2689, 1207, 8288, 1690, 3175, 11463, 2026, 14226, 1188, 2873, 1229, 1189, 15599, 1317, 8536, 1125, 23121, 22053, 4613, 1958, 12243, 3691, 1317, 16487, 1125, 6279, 3104, 26787, 4172, 1252, 20374, 1712, 1388, 3159, 1150, 2094, 1104, 17322, 16274, 1594, 13838, 1186, 4083, 1309, 14277, 22053, 4613, 1958, 1245, 4819, 1753, 1480, 25098, 1318, 22892, 1378, 2205, 5373, 2598, 1303, 1469, 1170, 4617, 12243, 9193, 29457, 4790, 1186, 3247, 1188, 4262, 1197, 30498, 1430, 1125, 15364, 17955, 1227, 5097, 19888, 1186, 4262, 1753, 1480, 119, 1167, 1125, 1158, 11641, 1313, 1207, 15642, 1125, 7108, 1309, 16401, 2457, 1440, 4755, 1167, 1170, 4617, 1245, 9357, 1548, 27464, 1110, 4766, 1318, 9175, 31961, 1136, 10440, 8806, 3283, 2985, 2513, 1317, 5545, 1227, 1921, 3143, 1125, 18051, 1753, 1480, 1571, 8288, 1690, 488, 125, 123, 124, 131, 119, 1167, 5999, 15655, 3175, 11463, 2026, 1281, 1508, 22822, 1256, 2435, 1982, 3691, 121, 21262, 1125, 13859, 1594, 2627, 8087, 1256, 1753, 1480, 119, 1170, 4617, 12243, 24917, 1805, 7726, 1125, 1288, 1382, 1170, 11161, 119, 4206, 13419, 4206, 5631, 15599, 8155, 23121, 22053, 4613, 1958, 12243, 1753, 1480, 24254, 16934, 1125, 1158, 8288, 3693, 1116, 22696, 1561, 2320, 1188, 4172, 1252, 20374, 1712, 23460, 1214, 12997, 10791, 2511, 3130, 1450, 1125, 1753, 1480, 119, 1170, 3151, 8980, 6709, 1753, 1480, 119, 3031, 6711, 1227, 28637, 1125, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 126, 132, 8370, 488, 125, 123, 123, 125, 119, 1527, 2985, 12688, 1313, 1158, 4575, 1197, 8447, 2518, 1207, 4534, 10743, 20909, 1215, 1170, 1865, 17200, 3750, 8606, 6749, 23657, 244, 5279, 11185, 15948, 7364, 5825, 2093, 1753, 1480, 1226, 22527, 1323, 6755, 4877, 106, 9719, 1352, 2303, 16995, 1323, 8689, 2111, 8980, 6709, 12010, 4962, 114, 1753, 1480, 7983, 4497, 12287, 12388, 106, 18437, 1135, 29584, 1323, 14222, 1753, 1480, 106, 488, 125, 123, 123, 129, 488, 125, 123, 123, 127, 488, 125, 123, 123, 125, 488, 125, 123, 123, 123, 8769, 14582, 4713, 3400, 1186, 2798, 488, 124, 132, 129, 126, 3052, 9253, 1374, 1125, 1158, 1293, 6364, 5277, 1197, 9864, 26626, 1227, 15211, 3175, 11463, 1230, 1186, 21159, 14179, 7778, 8156, 1188, 10681, 4250, 10986, 1125, 26287, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 15440, 7002, 29710, 4847, 2495, 1299, 1189, 5598, 3657, 2720, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 123, 128, 1188, 16049, 7194, 2916, 1208, 116, 1167, 19956, 1170, 488, 125, 124, 2798, 488, 124, 131, 130, 131, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 4023, 141, 11741, 13776, 25246, 1125, 1158, 4685, 1125, 5742, 186, 1159, 1125, 19573, 4847, 189, 257, 1596, 1167, 4847, 18090, 16512, 1215, 1594, 2511, 3130, 6909, 1527, 1299, 20653, 1125, 1158, 1293, 2916, 1208, 1125, 488, 124, 131, 128, 125, 1188, 488, 124, 131, 128, 130, 119, 1995, 31890, 1199, 1188, 2143, 6196, 1313, 1158, 10597, 7080, 4283, 1170, 13719, 26344, 13699, 1662, 244, 1188, 14363, 1567, 4847, 189, 257, 28770, 1527, 1299, 1170, 9159, 14609, 22321, 4847, 2495, 3441, 1210, 189, 257, 1596, 1167, 1170, 5188, 3130, 1450, 1125, 26417, 13981, 1278, 1175, 124, 131, 126, 129, 120, 124, 132, 123, 130, 4023, 20634, 1167, 20117, 2072, 11934, 3249, 7364, 5825, 1424, 1424, 2093, 143, 244, 28668, 1125, 1158, 1293, 2916, 1208, 9745, 28668, 1227, 13719, 26344, 8156, 1188, 16049, 8156, 1186, 3141, 488, 124, 131, 123, 128, 9317, 1186, 2798, 488, 124, 131, 130, 131, 9317, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 9317, 1188, 488, 130, 126, 2165, 1875, 1603, 1642, 1199, 2720, 1227, 26851, 6298, 121, 32001, 1424, 32000, 20036, 22016, 7002, 29710, 4847, 2495, 1299, 1189, 5598, 3657, 2720, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 123, 128, 1188, 16049, 7194, 2916, 1208, 116, 1167, 19956, 1170, 488, 125, 124, 2798, 488, 124, 131, 130, 131, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 4023, 141, 11741, 13776, 25246, 1125, 1158, 4685, 1125, 5742, 186, 1159, 1125, 19573, 4847, 189, 257, 1596, 1167, 4847, 18090, 16512, 1215, 1594, 2511, 3130, 6909, 1527, 1299, 20653, 1125, 1158, 1293, 2916, 1208, 1125, 488, 124, 131, 128, 125, 1188, 488, 124, 131, 128, 130, 119, 1995, 31890, 1199, 1188, 2143, 6196, 1313, 1158, 10597, 7080, 4283, 1170, 13719, 26344, 13699, 1662, 244, 1188, 14363, 1567, 4847, 189, 257, 28770, 1527, 1299, 1170, 9159, 14609, 22321, 4847, 2495, 3441, 1210, 189, 257, 1596, 1167, 1170, 5188, 3130, 1450, 1125, 26417, 13981, 1278, 1175, 124, 131, 126, 129, 120, 124, 132, 123, 130, 4023, 20634, 1167, 20117, 2072, 11934, 3249, 7364, 5825, 1424, 1424, 2093, 143, 244, 28668, 1125, 1158, 1293, 2916, 1208, 9745, 28668, 1227, 13719, 26344, 8156, 1188, 16049, 8156, 1186, 3141, 488, 124, 131, 123, 128, 9317, 1186, 2798, 488, 124, 131, 130, 131, 9317, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 9317, 1188, 488, 130, 126, 2165, 1875, 1603, 1642, 1199, 2720, 1227, 26851, 6298, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22016, 7002, 29710, 4847, 2495, 1299, 1189, 5598, 3657, 2720, 5252, 1170, 488, 125, 129, 3141, 488, 124, 131, 123, 128, 1188, 16049, 7194, 2916, 1208, 116, 1167, 19956, 1170, 488, 125, 124, 2798, 488, 124, 131, 130, 131, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 7194, 2916, 1208, 4023, 141, 11741, 13776, 25246, 1125, 1158, 4685, 1125, 5742, 186, 1159, 1125, 19573, 4847, 189, 257, 1596, 1167, 4847, 18090, 16512, 1215, 1594, 2511, 3130, 6909, 1527, 1299, 20653, 1125, 1158, 1293, 2916, 1208, 1125, 488, 124, 131, 128, 125, 1188, 488, 124, 131, 128, 130, 119, 1995, 31890, 1199, 1188, 2143, 6196, 1313, 1158, 10597, 7080, 4283, 1170, 13719, 26344, 13699, 1662, 244, 1188, 14363, 1567, 4847, 189, 257, 28770, 1527, 1299, 1170, 9159, 14609, 22321, 4847, 2495, 3441, 1210, 189, 257, 1596, 1167, 1170, 5188, 3130, 1450, 1125, 26417, 13981, 1278, 1175, 124, 131, 126, 129, 120, 124, 132, 123, 130, 4023, 20634, 1167, 20117, 2072, 11934, 3249, 7364, 5825, 1424, 1424, 2093, 143, 244, 28668, 1125, 1158, 1293, 2916, 1208, 9745, 28668, 1227, 13719, 26344, 8156, 1188, 16049, 8156, 1186, 3141, 488, 124, 131, 123, 128, 9317, 1186, 2798, 488, 124, 131, 130, 131, 9317, 1188, 13598, 1108, 1435, 19666, 3765, 23340, 9317, 1188, 488, 130, 126, 2165, 1875, 1603, 1642, 1199, 2720, 1227, 26851, 6298, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 1139, 283, 1506, 1125, 2467, 29282, 1362, 1139, 283, 1506, 1125, 2195, 1140, 1272, 1299, 1189, 1139, 283, 1506, 1125, 3358, 2927, 119, 1357, 12262, 2069, 3358, 9203, 121, 6053, 1189, 1197, 20751, 1234, 1227, 1139, 283, 1506, 1125, 7078, 1182, 1119, 1388, 6426, 1741, 10791, 1139, 283, 1506, 1125, 2467, 29282, 1299, 2442, 12688, 25980, 1995, 1238, 2320, 1318, 2274, 1313, 3219, 3358, 2927, 119, 1527, 11616, 1125, 19775, 1300, 1207, 2069, 28595, 1167, 1125, 1207, 1139, 18706, 6231, 1256, 1115, 1374, 1207, 12220, 12258, 1915, 2445, 1823, 5162, 1256, 28876, 1107, 1318, 22724, 1125, 26725, 1257, 1238, 2320, 1170, 2406, 1313, 1158, 3358, 2927, 1227, 8007, 119, 1207, 2069, 2167, 1554, 22141, 25791, 26242, 7655, 1167, 1207, 2069, 3358, 9203, 1125, 12469, 1256, 1207, 8844, 1287, 1220, 11488, 1167, 5474, 29619, 13507, 1197, 1139, 283, 1506, 1285, 2901, 488, 126, 128, 13459, 2072, 7364, 5825, 1424, 1623, 185, 4970, 1506, 1297, 27778, 5446, 1875, 283, 1506, 1125, 2467, 29282, 7216, 15173, 1723, 2130, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 2769, 1153, 2461, 1518, 3804, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 1778, 1183, 1404, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 4023, 153, 283, 1506, 1557, 1109, 1720, 1108, 29282, 1720, 7904, 1190, 1272, 2073, 27780, 4010, 21266, 32001, 1424, 32000, 20036, 2359, 1139, 283, 1506, 1125, 2467, 29282, 1362, 1139, 283, 1506, 1125, 2195, 1140, 1272, 1299, 1189, 1139, 283, 1506, 1125, 3358, 2927, 119, 1357, 12262, 2069, 3358, 9203, 121, 6053, 1189, 1197, 20751, 1234, 1227, 1139, 283, 1506, 1125, 7078, 1182, 1119, 1388, 6426, 1741, 10791, 1139, 283, 1506, 1125, 2467, 29282, 1299, 2442, 12688, 25980, 1995, 1238, 2320, 1318, 2274, 1313, 3219, 3358, 2927, 119, 1527, 11616, 1125, 19775, 1300, 1207, 2069, 28595, 1167, 1125, 1207, 1139, 18706, 6231, 1256, 1115, 1374, 1207, 12220, 12258, 1915, 2445, 1823, 5162, 1256, 28876, 1107, 1318, 22724, 1125, 26725, 1257, 1238, 2320, 1170, 2406, 1313, 1158, 3358, 2927, 1227, 8007, 119, 1207, 2069, 2167, 1554, 22141, 25791, 26242, 7655, 1167, 1207, 2069, 3358, 9203, 1125, 12469, 1256, 1207, 8844, 1287, 1220, 11488, 1167, 5474, 29619, 13507, 1197, 1139, 283, 1506, 1285, 2901, 488, 126, 128, 13459, 2072, 7364, 5825, 1424, 1623, 185, 4970, 1506, 1297, 27778, 5446, 1875, 283, 1506, 1125, 2467, 29282, 7216, 15173, 1723, 2130, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 2769, 1153, 2461, 1518, 3804, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 1778, 1183, 1404, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 4023, 153, 283, 1506, 1557, 1109, 1720, 1108, 29282, 1720, 7904, 1190, 1272, 2073, 27780, 4010, 21266, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 1139, 283, 1506, 1125, 2467, 29282, 1362, 1139, 283, 1506, 1125, 2195, 1140, 1272, 1299, 1189, 1139, 283, 1506, 1125, 3358, 2927, 119, 1357, 12262, 2069, 3358, 9203, 121, 6053, 1189, 1197, 20751, 1234, 1227, 1139, 283, 1506, 1125, 7078, 1182, 1119, 1388, 6426, 1741, 10791, 1139, 283, 1506, 1125, 2467, 29282, 1299, 2442, 12688, 25980, 1995, 1238, 2320, 1318, 2274, 1313, 3219, 3358, 2927, 119, 1527, 11616, 1125, 19775, 1300, 1207, 2069, 28595, 1167, 1125, 1207, 1139, 18706, 6231, 1256, 1115, 1374, 1207, 12220, 12258, 1915, 2445, 1823, 5162, 1256, 28876, 1107, 1318, 22724, 1125, 26725, 1257, 1238, 2320, 1170, 2406, 1313, 1158, 3358, 2927, 1227, 8007, 119, 1207, 2069, 2167, 1554, 22141, 25791, 26242, 7655, 1167, 1207, 2069, 3358, 9203, 1125, 12469, 1256, 1207, 8844, 1287, 1220, 11488, 1167, 5474, 29619, 13507, 1197, 1139, 283, 1506, 1285, 2901, 488, 126, 128, 13459, 2072, 7364, 5825, 1424, 1623, 185, 4970, 1506, 1297, 27778, 5446, 1875, 283, 1506, 1125, 2467, 29282, 7216, 15173, 1723, 2130, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 2769, 1153, 2461, 1518, 3804, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 116, 10883, 1163, 12794, 1778, 1183, 1404, 11576, 174, 3205, 190, 7216, 7290, 7655, 1723, 1469, 1282, 11075, 15941, 1170, 1874, 4023, 153, 283, 1506, 1557, 1109, 1720, 1108, 29282, 1720, 7904, 1190, 1272, 2073, 27780, 4010, 21266, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 150, 1801, 1108, 8125, 17936, 14232, 1170, 488, 124, 128, 2829, 488, 124, 132, 126, 129, 1188, 19120, 193, 1205, 1317, 5941, 26613, 1167, 31591, 1170, 488, 124, 131, 2875, 488, 125, 123, 123, 131, 1188, 7143, 181, 3476, 1299, 1318, 8605, 1452, 1774, 10570, 7269, 119, 1317, 1148, 1278, 1125, 7808, 7334, 1374, 14231, 1194, 282, 10843, 24281, 1137, 1220, 1424, 1867, 1189, 4780, 1125, 2811, 1315, 31617, 1125, 2644, 4849, 1347, 1175, 124, 132, 130, 129, 1260, 14631, 1433, 31617, 2644, 1839, 2495, 1245, 1175, 124, 132, 130, 129, 1260, 1222, 258, 8221, 28768, 2390, 3083, 1175, 124, 132, 130, 130, 1260, 14631, 1433, 31617, 1677, 182, 1433, 1549, 176, 1175, 124, 132, 130, 130, 1260, 1814, 2104, 1245, 31617, 1893, 1586, 189, 258, 1263, 1245, 1175, 124, 132, 130, 130, 1260, 22623, 178, 240, 189, 8502, 189, 258, 175, 1596, 1245, 1175, 124, 132, 130, 131, 1260, 7220, 193, 1111, 1142, 11291, 1201, 1175, 124, 132, 130, 131, 1260, 1814, 2104, 1245, 31617, 2372, 1707, 179, 1153, 10448, 1108, 1175, 124, 132, 130, 131, 1260, 1222, 258, 8221, 2543, 1186, 4242, 258, 184, 1175, 124, 132, 130, 132, 1260, 14631, 1433, 31617, 1423, 177, 1575, 1108, 1175, 124, 132, 130, 132, 1260, 1814, 2104, 1245, 1111, 1142, 1114, 258, 190, 1175, 124, 132, 130, 132, 1260, 1867, 1115, 1678, 3271, 5688, 2104, 1175, 124, 132, 131, 124, 1260, 1350, 16678, 240, 9760, 26101, 488, 240, 189, 1175, 124, 132, 131, 124, 1260, 10461, 1111, 4889, 12896, 1175, 124, 132, 131, 125, 1260, 9521, 1164, 3583, 120, 1122, 5496, 1140, 1205, 2718, 1108, 1175, 124, 132, 131, 125, 1260, 1266, 240, 189, 4594, 1978, 1977, 1113, 240, 1268, 241, 1243, 1108, 1175, 124, 132, 131, 126, 1260, 1202, 1153, 1328, 187, 1142, 1175, 124, 132, 131, 126, 1260, 14631, 1433, 31617, 2885, 173, 2010, 1591, 1213, 7203, 1175, 124, 132, 131, 124, 1260, 1173, 1965, 1106, 258, 8221, 1113, 240, 4227, 1152, 4510, 1175, 124, 132, 131, 127, 1260, 1222, 13357, 1739, 1638, 240, 191, 1175, 124, 132, 131, 128, 1260, 1209, 2393, 1203, 1108, 1175, 124, 132, 131, 129, 1260, 3870, 6400, 10036, 1175, 124, 132, 131, 130, 1260, 1222, 258, 175, 1462, 1106, 4876, 1126, 2623, 2831, 1175, 124, 132, 131, 131, 1260, 10461, 3271, 1132, 1139, 1387, 1185, 240, 119, 8431, 29185, 1175, 124, 132, 131, 132, 1260, 23552, 1227, 182, 1347, 1200, 1439, 1175, 124, 132, 131, 132, 1260, 16292, 1177, 16630, 1739, 1152, 1265, 1130, 1175, 124, 132, 132, 124, 1260, 25723, 1213, 7203, 9760, 4594, 1170, 1549, 1208, 26185, 1175, 124, 132, 132, 125, 1260, 1209, 1294, 9419, 2478, 1220, 31617, 2067, 3215, 2718, 1175, 124, 132, 132, 127, 1260, 1863, 11524, 1108, 1111, 1142, 12800, 1126, 16984, 1175, 124, 132, 132, 129, 1260, 20934, 4594, 1498, 241, 189, 3215, 2718, 1175, 124, 132, 132, 129, 1260, 23826, 184, 8429, 31617, 30456, 258, 189, 1518, 12167, 1175, 124, 132, 132, 131, 1260, 1204, 1404, 1739, 8755, 18062, 1175, 124, 132, 132, 131, 1260, 20934, 4594, 1127, 1404, 138, 1175, 124, 132, 132, 132, 1260, 18965, 7901, 31617, 8617, 189, 258, 1263, 1245, 1175, 125, 123, 123, 124, 1260, 23826, 184, 8429, 1113, 240, 1499, 1345, 191, 1175, 125, 123, 123, 125, 1260, 17310, 2167, 1500, 1152, 1307, 1213, 1175, 125, 123, 123, 129, 1260, 3225, 23568, 1108, 2577, 1306, 3579, 258, 175, 1175, 125, 123, 123, 130, 1718, 155, 3303, 1167, 2328, 1109, 7683, 12662, 3303, 1424, 8276, 5922, 6266, 3046, 1307, 1462, 1108, 488, 125, 123, 123, 130, 1256, 17310, 2167, 1500, 1152, 1307, 1213, 9323, 1167, 16828, 5825, 1424, 29496, 1317, 5941, 26613, 8156, 1186, 2829, 488, 124, 132, 126, 129, 2105, 25736, 1125, 13837, 10570, 7269, 5526, 31958, 1262, 10570, 1517, 1227, 12136, 25525, 6298, 5526, 31958, 1262, 10570, 1517, 1227, 23841, 6298, 25790, 10570, 1517, 1125, 7808, 7334, 1374, 9317, 1186, 2875, 488, 125, 123, 123, 131, 9317, 1188, 488, 130, 125, 2165, 9317, 1317, 5941, 26613, 32001, 1424, 32000, 20036, 6975, 1801, 1108, 8125, 17936, 14232, 1170, 488, 124, 128, 2829, 488, 124, 132, 126, 129, 1188, 19120, 193, 1205, 1317, 5941, 26613, 1167, 31591, 1170, 488, 124, 131, 2875, 488, 125, 123, 123, 131, 1188, 7143, 181, 3476, 1299, 1318, 8605, 1452, 1774, 10570, 7269, 119, 1317, 1148, 1278, 1125, 7808, 7334, 1374, 14231, 1194, 282, 10843, 24281, 1137, 1220, 1424, 1867, 1189, 4780, 1125, 2811, 1315, 31617, 1125, 2644, 4849, 1347, 1175, 124, 132, 130, 129, 1260, 14631, 1433, 31617, 2644, 1839, 2495, 1245, 1175, 124, 132, 130, 129, 1260, 1222, 258, 8221, 28768, 2390, 3083, 1175, 124, 132, 130, 130, 1260, 14631, 1433, 31617, 1677, 182, 1433, 1549, 176, 1175, 124, 132, 130, 130, 1260, 1814, 2104, 1245, 31617, 1893, 1586, 189, 258, 1263, 1245, 1175, 124, 132, 130, 130, 1260, 22623, 178, 240, 189, 8502, 189, 258, 175, 1596, 1245, 1175, 124, 132, 130, 131, 1260, 7220, 193, 1111, 1142, 11291, 1201, 1175, 124, 132, 130, 131, 1260, 1814, 2104, 1245, 31617, 2372, 1707, 179, 1153, 10448, 1108, 1175, 124, 132, 130, 131, 1260, 1222, 258, 8221, 2543, 1186, 4242, 258, 184, 1175, 124, 132, 130, 132, 1260, 14631, 1433, 31617, 1423, 177, 1575, 1108, 1175, 124, 132, 130, 132, 1260, 1814, 2104, 1245, 1111, 1142, 1114, 258, 190, 1175, 124, 132, 130, 132, 1260, 1867, 1115, 1678, 3271, 5688, 2104, 1175, 124, 132, 131, 124, 1260, 1350, 16678, 240, 9760, 26101, 488, 240, 189, 1175, 124, 132, 131, 124, 1260, 10461, 1111, 4889, 12896, 1175, 124, 132, 131, 125, 1260, 9521, 1164, 3583, 120, 1122, 5496, 1140, 1205, 2718, 1108, 1175, 124, 132, 131, 125, 1260, 1266, 240, 189, 4594, 1978, 1977, 1113, 240, 1268, 241, 1243, 1108, 1175, 124, 132, 131, 126, 1260, 1202, 1153, 1328, 187, 1142, 1175, 124, 132, 131, 126, 1260, 14631, 1433, 31617, 2885, 173, 2010, 1591, 1213, 7203, 1175, 124, 132, 131, 124, 1260, 1173, 1965, 1106, 258, 8221, 1113, 240, 4227, 1152, 4510, 1175, 124, 132, 131, 127, 1260, 1222, 13357, 1739, 1638, 240, 191, 1175, 124, 132, 131, 128, 1260, 1209, 2393, 1203, 1108, 1175, 124, 132, 131, 129, 1260, 3870, 6400, 10036, 1175, 124, 132, 131, 130, 1260, 1222, 258, 175, 1462, 1106, 4876, 1126, 2623, 2831, 1175, 124, 132, 131, 131, 1260, 10461, 3271, 1132, 1139, 1387, 1185, 240, 119, 8431, 29185, 1175, 124, 132, 131, 132, 1260, 23552, 1227, 182, 1347, 1200, 1439, 1175, 124, 132, 131, 132, 1260, 16292, 1177, 16630, 1739, 1152, 1265, 1130, 1175, 124, 132, 132, 124, 1260, 25723, 1213, 7203, 9760, 4594, 1170, 1549, 1208, 26185, 1175, 124, 132, 132, 125, 1260, 1209, 1294, 9419, 2478, 1220, 31617, 2067, 3215, 2718, 1175, 124, 132, 132, 127, 1260, 1863, 11524, 1108, 1111, 1142, 12800, 1126, 16984, 1175, 124, 132, 132, 129, 1260, 20934, 4594, 1498, 241, 189, 3215, 2718, 1175, 124, 132, 132, 129, 1260, 23826, 184, 8429, 31617, 30456, 258, 189, 1518, 12167, 1175, 124, 132, 132, 131, 1260, 1204, 1404, 1739, 8755, 18062, 1175, 124, 132, 132, 131, 1260, 20934, 4594, 1127, 1404, 138, 1175, 124, 132, 132, 132, 1260, 18965, 7901, 31617, 8617, 189, 258, 1263, 1245, 1175, 125, 123, 123, 124, 1260, 23826, 184, 8429, 1113, 240, 1499, 1345, 191, 1175, 125, 123, 123, 125, 1260, 17310, 2167, 1500, 1152, 1307, 1213, 1175, 125, 123, 123, 129, 1260, 3225, 23568, 1108, 2577, 1306, 3579, 258, 175, 1175, 125, 123, 123, 130, 1718, 155, 3303, 1167, 2328, 1109, 7683, 12662, 3303, 1424, 8276, 5922, 6266, 3046, 1307, 1462, 1108, 488, 125, 123, 123, 130, 1256, 17310, 2167, 1500, 1152, 1307, 1213, 9323, 1167, 16828, 5825, 1424, 29496, 1317, 5941, 26613, 8156, 1186, 2829, 488, 124, 132, 126, 129, 2105, 25736, 1125, 13837, 10570, 7269, 5526, 31958, 1262, 10570, 1517, 1227, 12136, 25525, 6298, 5526, 31958, 1262, 10570, 1517, 1227, 23841, 6298, 25790, 10570, 1517, 1125, 7808, 7334, 1374, 9317, 1186, 2875, 488, 125, 123, 123, 131, 9317, 1188, 488, 130, 125, 2165, 9317, 1317, 5941, 26613, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6975, 1801, 1108, 8125, 17936, 14232, 1170, 488, 124, 128, 2829, 488, 124, 132, 126, 129, 1188, 19120, 193, 1205, 1317, 5941, 26613, 1167, 31591, 1170, 488, 124, 131, 2875, 488, 125, 123, 123, 131, 1188, 7143, 181, 3476, 1299, 1318, 8605, 1452, 1774, 10570, 7269, 119, 1317, 1148, 1278, 1125, 7808, 7334, 1374, 14231, 1194, 282, 10843, 24281, 1137, 1220, 1424, 1867, 1189, 4780, 1125, 2811, 1315, 31617, 1125, 2644, 4849, 1347, 1175, 124, 132, 130, 129, 1260, 14631, 1433, 31617, 2644, 1839, 2495, 1245, 1175, 124, 132, 130, 129, 1260, 1222, 258, 8221, 28768, 2390, 3083, 1175, 124, 132, 130, 130, 1260, 14631, 1433, 31617, 1677, 182, 1433, 1549, 176, 1175, 124, 132, 130, 130, 1260, 1814, 2104, 1245, 31617, 1893, 1586, 189, 258, 1263, 1245, 1175, 124, 132, 130, 130, 1260, 22623, 178, 240, 189, 8502, 189, 258, 175, 1596, 1245, 1175, 124, 132, 130, 131, 1260, 7220, 193, 1111, 1142, 11291, 1201, 1175, 124, 132, 130, 131, 1260, 1814, 2104, 1245, 31617, 2372, 1707, 179, 1153, 10448, 1108, 1175, 124, 132, 130, 131, 1260, 1222, 258, 8221, 2543, 1186, 4242, 258, 184, 1175, 124, 132, 130, 132, 1260, 14631, 1433, 31617, 1423, 177, 1575, 1108, 1175, 124, 132, 130, 132, 1260, 1814, 2104, 1245, 1111, 1142, 1114, 258, 190, 1175, 124, 132, 130, 132, 1260, 1867, 1115, 1678, 3271, 5688, 2104, 1175, 124, 132, 131, 124, 1260, 1350, 16678, 240, 9760, 26101, 488, 240, 189, 1175, 124, 132, 131, 124, 1260, 10461, 1111, 4889, 12896, 1175, 124, 132, 131, 125, 1260, 9521, 1164, 3583, 120, 1122, 5496, 1140, 1205, 2718, 1108, 1175, 124, 132, 131, 125, 1260, 1266, 240, 189, 4594, 1978, 1977, 1113, 240, 1268, 241, 1243, 1108, 1175, 124, 132, 131, 126, 1260, 1202, 1153, 1328, 187, 1142, 1175, 124, 132, 131, 126, 1260, 14631, 1433, 31617, 2885, 173, 2010, 1591, 1213, 7203, 1175, 124, 132, 131, 124, 1260, 1173, 1965, 1106, 258, 8221, 1113, 240, 4227, 1152, 4510, 1175, 124, 132, 131, 127, 1260, 1222, 13357, 1739, 1638, 240, 191, 1175, 124, 132, 131, 128, 1260, 1209, 2393, 1203, 1108, 1175, 124, 132, 131, 129, 1260, 3870, 6400, 10036, 1175, 124, 132, 131, 130, 1260, 1222, 258, 175, 1462, 1106, 4876, 1126, 2623, 2831, 1175, 124, 132, 131, 131, 1260, 10461, 3271, 1132, 1139, 1387, 1185, 240, 119, 8431, 29185, 1175, 124, 132, 131, 132, 1260, 23552, 1227, 182, 1347, 1200, 1439, 1175, 124, 132, 131, 132, 1260, 16292, 1177, 16630, 1739, 1152, 1265, 1130, 1175, 124, 132, 132, 124, 1260, 25723, 1213, 7203, 9760, 4594, 1170, 1549, 1208, 26185, 1175, 124, 132, 132, 125, 1260, 1209, 1294, 9419, 2478, 1220, 31617, 2067, 3215, 2718, 1175, 124, 132, 132, 127, 1260, 1863, 11524, 1108, 1111, 1142, 12800, 1126, 16984, 1175, 124, 132, 132, 129, 1260, 20934, 4594, 1498, 241, 189, 3215, 2718, 1175, 124, 132, 132, 129, 1260, 23826, 184, 8429, 31617, 30456, 258, 189, 1518, 12167, 1175, 124, 132, 132, 131, 1260, 1204, 1404, 1739, 8755, 18062, 1175, 124, 132, 132, 131, 1260, 20934, 4594, 1127, 1404, 138, 1175, 124, 132, 132, 132, 1260, 18965, 7901, 31617, 8617, 189, 258, 1263, 1245, 1175, 125, 123, 123, 124, 1260, 23826, 184, 8429, 1113, 240, 1499, 1345, 191, 1175, 125, 123, 123, 125, 1260, 17310, 2167, 1500, 1152, 1307, 1213, 1175, 125, 123, 123, 129, 1260, 3225, 23568, 1108, 2577, 1306, 3579, 258, 175, 1175, 125, 123, 123, 130, 1718, 155, 3303, 1167, 2328, 1109, 7683, 12662, 3303, 1424, 8276, 5922, 6266, 3046, 1307, 1462, 1108, 488, 125, 123, 123, 130, 1256, 17310, 2167, 1500, 1152, 1307, 1213, 9323, 1167, 16828, 5825, 1424, 29496, 1317, 5941, 26613, 8156, 1186, 2829, 488, 124, 132, 126, 129, 2105, 25736, 1125, 13837, 10570, 7269, 5526, 31958, 1262, 10570, 1517, 1227, 12136, 25525, 6298, 5526, 31958, 1262, 10570, 1517, 1227, 23841, 6298, 25790, 10570, 1517, 1125, 7808, 7334, 1374, 9317, 1186, 2875, 488, 125, 123, 123, 131, 9317, 1188, 488, 130, 125, 2165, 9317, 1317, 5941, 26613, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 157, 1234, 18036, 1227, 5623, 8276, 6348, 19085, 488, 124, 132, 131, 132, 119, 2107, 192, 1300, 1170, 12516, 1125, 1321, 7050, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 1186, 2602, 29056, 1214, 1170, 488, 124, 1107, 2822, 488, 124, 132, 131, 132, 1388, 2809, 14443, 12662, 1731, 3620, 1167, 3783, 1227, 3543, 1566, 1731, 3620, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 123, 1114, 488, 125, 132, 124, 9321, 10774, 8468, 1257, 488, 124, 131, 132, 119, 124, 125, 125, 7275, 7921, 116, 25916, 18496, 3543, 1186, 4235, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 128, 1114, 488, 130, 130, 132, 1317, 3543, 488, 130, 126, 9321, 10774, 8468, 1257, 488, 124, 130, 130, 119, 123, 125, 125, 7275, 7921, 4023, 159, 1627, 1186, 6425, 1530, 7490, 2333, 1173, 2334, 172, 1257, 488, 130, 126, 1175, 124, 120, 130, 126, 1718, 216, 13533, 2073, 1146, 8648, 1256, 1192, 7490, 2333, 1173, 2334, 172, 1155, 125, 124, 131, 2247, 14789, 1256, 5260, 151, 1124, 1108, 1186, 4083, 1309, 28431, 1155, 127, 132, 2247, 14789, 1256, 1306, 22564, 1186, 4083, 1309, 13156, 2038, 2242, 23945, 14789, 1256, 1321, 7490, 7901, 1321, 15766, 193, 1399, 1337, 186, 10271, 5860, 20344, 1662, 26589, 1227, 1844, 1125, 20400, 1125, 1266, 1205, 1140, 23700, 8376, 8863, 3925, 1256, 2782, 6438, 10483, 1189, 28127, 1334, 7272, 2391, 1227, 5623, 8276, 11468, 11488, 1167, 5474, 1194, 124, 132, 131, 132, 25738, 1186, 21593, 1186, 488, 124, 132, 131, 132, 3198, 11619, 4538, 16338, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 2586, 19085, 25738, 1186, 2822, 488, 124, 132, 131, 132, 1505, 17576, 12768, 1125, 1321, 7050, 32001, 1424, 32000, 20036, 12626, 18036, 1227, 5623, 8276, 6348, 19085, 488, 124, 132, 131, 132, 119, 2107, 192, 1300, 1170, 12516, 1125, 1321, 7050, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 1186, 2602, 29056, 1214, 1170, 488, 124, 1107, 2822, 488, 124, 132, 131, 132, 1388, 2809, 14443, 12662, 1731, 3620, 1167, 3783, 1227, 3543, 1566, 1731, 3620, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 123, 1114, 488, 125, 132, 124, 9321, 10774, 8468, 1257, 488, 124, 131, 132, 119, 124, 125, 125, 7275, 7921, 116, 25916, 18496, 3543, 1186, 4235, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 128, 1114, 488, 130, 130, 132, 1317, 3543, 488, 130, 126, 9321, 10774, 8468, 1257, 488, 124, 130, 130, 119, 123, 125, 125, 7275, 7921, 4023, 159, 1627, 1186, 6425, 1530, 7490, 2333, 1173, 2334, 172, 1257, 488, 130, 126, 1175, 124, 120, 130, 126, 1718, 216, 13533, 2073, 1146, 8648, 1256, 1192, 7490, 2333, 1173, 2334, 172, 1155, 125, 124, 131, 2247, 14789, 1256, 5260, 151, 1124, 1108, 1186, 4083, 1309, 28431, 1155, 127, 132, 2247, 14789, 1256, 1306, 22564, 1186, 4083, 1309, 13156, 2038, 2242, 23945, 14789, 1256, 1321, 7490, 7901, 1321, 15766, 193, 1399, 1337, 186, 10271, 5860, 20344, 1662, 26589, 1227, 1844, 1125, 20400, 1125, 1266, 1205, 1140, 23700, 8376, 8863, 3925, 1256, 2782, 6438, 10483, 1189, 28127, 1334, 7272, 2391, 1227, 5623, 8276, 11468, 11488, 1167, 5474, 1194, 124, 132, 131, 132, 25738, 1186, 21593, 1186, 488, 124, 132, 131, 132, 3198, 11619, 4538, 16338, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 2586, 19085, 25738, 1186, 2822, 488, 124, 132, 131, 132, 1505, 17576, 12768, 1125, 1321, 7050, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12626, 18036, 1227, 5623, 8276, 6348, 19085, 488, 124, 132, 131, 132, 119, 2107, 192, 1300, 1170, 12516, 1125, 1321, 7050, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 1186, 2602, 29056, 1214, 1170, 488, 124, 1107, 2822, 488, 124, 132, 131, 132, 1388, 2809, 14443, 12662, 1731, 3620, 1167, 3783, 1227, 3543, 1566, 1731, 3620, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 123, 1114, 488, 125, 132, 124, 9321, 10774, 8468, 1257, 488, 124, 131, 132, 119, 124, 125, 125, 7275, 7921, 116, 25916, 18496, 3543, 1186, 4235, 1257, 1192, 7490, 2333, 1173, 2334, 172, 1186, 488, 124, 1677, 488, 125, 128, 1114, 488, 130, 130, 132, 1317, 3543, 488, 130, 126, 9321, 10774, 8468, 1257, 488, 124, 130, 130, 119, 123, 125, 125, 7275, 7921, 4023, 159, 1627, 1186, 6425, 1530, 7490, 2333, 1173, 2334, 172, 1257, 488, 130, 126, 1175, 124, 120, 130, 126, 1718, 216, 13533, 2073, 1146, 8648, 1256, 1192, 7490, 2333, 1173, 2334, 172, 1155, 125, 124, 131, 2247, 14789, 1256, 5260, 151, 1124, 1108, 1186, 4083, 1309, 28431, 1155, 127, 132, 2247, 14789, 1256, 1306, 22564, 1186, 4083, 1309, 13156, 2038, 2242, 23945, 14789, 1256, 1321, 7490, 7901, 1321, 15766, 193, 1399, 1337, 186, 10271, 5860, 20344, 1662, 26589, 1227, 1844, 1125, 20400, 1125, 1266, 1205, 1140, 23700, 8376, 8863, 3925, 1256, 2782, 6438, 10483, 1189, 28127, 1334, 7272, 2391, 1227, 5623, 8276, 11468, 11488, 1167, 5474, 1194, 124, 132, 131, 132, 25738, 1186, 21593, 1186, 488, 124, 132, 131, 132, 3198, 11619, 4538, 16338, 1188, 1321, 7050, 1125, 1158, 1772, 17686, 172, 2586, 19085, 25738, 1186, 2822, 488, 124, 132, 131, 132, 1505, 17576, 12768, 1125, 1321, 7050, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 26085, 13775, 3981, 1922, 1148, 7890, 1243, 13775, 3981, 1922, 1148, 1496, 7271, 2500, 1192, 1845, 13889, 11779, 488, 124, 132, 125, 124, 1188, 488, 125, 123, 124, 131, 1496, 1299, 1318, 7051, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1186, 21593, 121, 3450, 1299, 26033, 2290, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 22065, 1188, 1158, 1225, 2150, 1197, 8533, 21544, 8332, 19074, 1863, 1117, 1150, 1167, 17194, 1912, 197, 2497, 1810, 1188, 19682, 1186, 21593, 7745, 1123, 10878, 1300, 1170, 5566, 1194, 15784, 2615, 1214, 1186, 31059, 1154, 2982, 7572, 13775, 3981, 1922, 1148, 1299, 1318, 7051, 1125, 9251, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 121, 3450, 1299, 10019, 1835, 1158, 7051, 20313, 6930, 6293, 248, 6037, 1186, 4595, 1227, 5503, 1153, 17261, 1124, 1125, 9292, 1516, 248, 6037, 1167, 1158, 7051, 1192, 1845, 1210, 1810, 1186, 4595, 1227, 5503, 1153, 3728, 11169, 1124, 3740, 30079, 9924, 1197, 2069, 18122, 1125, 1158, 3028, 20767, 12854, 1215, 2069, 1179, 1298, 4123, 19465, 20481, 1643, 1290, 2071, 3042, 7576, 24896, 1192, 1845, 1210, 1810, 1299, 3591, 1186, 2424, 1170, 1859, 2391, 1125, 30293, 1188, 3871, 10004, 1227, 3151, 1223, 9957, 1315, 1160, 1125, 1158, 3028, 488, 124, 2757, 8431, 3143, 1125, 30960, 1187, 1158, 17827, 1227, 16202, 3266, 3450, 1299, 28359, 1186, 6891, 1188, 1158, 5820, 1253, 1614, 20028, 10019, 1317, 5154, 3794, 2399, 2856, 3042, 1197, 4113, 2339, 1469, 1158, 17827, 28869, 1125, 1204, 3979, 1259, 16330, 30079, 16810, 5503, 1153, 1125, 1158, 3028, 15545, 3817, 1299, 3902, 1186, 2424, 1170, 1223, 9957, 1315, 1160, 7328, 18931, 1849, 1125, 3728, 1927, 1141, 1317, 18762, 17778, 6218, 1874, 1299, 3977, 1227, 12311, 5519, 1845, 13889, 8370, 488, 125, 123, 123, 130, 119, 2399, 1844, 11582, 2519, 15768, 1197, 1179, 1298, 2487, 1207, 3360, 10899, 7144, 1541, 1508, 27372, 8155, 1859, 1158, 7051, 1299, 2674, 24896, 7572, 13775, 3981, 1922, 1148, 1186, 5169, 1125, 1561, 11793, 1469, 1207, 12186, 2493, 1473, 1125, 1158, 3837, 1167, 3143, 1125, 9311, 1158, 21238, 2638, 1469, 1158, 17827, 3002, 10329, 4250, 1224, 1444, 1214, 1215, 1158, 7051, 1192, 1845, 13889, 7162, 3849, 7745, 5507, 1571, 24228, 1194, 8321, 1467, 1167, 26938, 1643, 7051, 11358, 2069, 8139, 6428, 1234, 23416, 3910, 25941, 6053, 1318, 7051, 1357, 4249, 1382, 9045, 1571, 3403, 1188, 19202, 30286, 121, 18512, 17238, 1186, 6233, 15802, 2399, 1299, 15425, 1125, 488, 129, 179, 123, 123, 1188, 488, 124, 179, 126, 123, 8509, 1224, 23858, 7572, 13775, 3981, 1922, 1148, 1299, 30960, 1214, 1215, 1207, 1501, 1623, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1388, 6198, 3880, 1902, 4511, 9579, 4355, 1197, 3483, 5901, 1125, 7960, 7697, 1925, 1254, 11242, 1508, 30960, 1120, 1215, 1207, 12251, 1257, 2172, 2449, 1104, 488, 129, 119, 488, 124, 123, 119, 488, 124, 127, 119, 488, 125, 129, 119, 488, 125, 130, 119, 488, 126, 125, 119, 488, 126, 127, 119, 488, 126, 130, 119, 488, 127, 128, 119, 488, 128, 132, 119, 1254, 124, 119, 1165, 125, 2040, 1167, 20561, 1471, 1104, 1266, 132, 119, 1266, 124, 123, 119, 1266, 124, 124, 119, 1266, 124, 125, 119, 1266, 124, 126, 119, 1266, 124, 127, 119, 1266, 124, 128, 119, 1266, 124, 130, 119, 1266, 125, 128, 119, 1266, 125, 129, 27404, 11793, 1808, 2069, 12186, 19574, 1207, 1408, 15913, 1125, 1158, 7051, 1508, 1170, 14331, 3781, 4779, 23290, 1863, 3382, 29739, 16330, 1167, 1282, 26843, 12405, 1227, 10610, 1125, 6389, 178, 10363, 119, 8446, 1125, 14974, 5719, 1125, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 1343, 121, 1548, 25881, 13677, 26839, 21044, 1167, 1170, 4742, 1227, 1863, 1117, 1150, 1508, 25393, 1188, 9579, 6957, 1653, 1773, 1189, 1996, 1408, 7477, 119, 2368, 10211, 1672, 1207, 2493, 1473, 1227, 16385, 4891, 1167, 1545, 1591, 15406, 3551, 13193, 5299, 7348, 11488, 1167, 20117, 20544, 11052, 15924, 1150, 1125, 19682, 25044, 488, 124, 1227, 30651, 1125, 19682, 7364, 4682, 1457, 1424, 121, 1424, 1388, 23732, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 21527, 1125, 30651, 3591, 1186, 2424, 1186, 488, 124, 132, 125, 124, 121, 32001, 1424, 32000, 20036, 28981, 13775, 3981, 1922, 1148, 7890, 1243, 13775, 3981, 1922, 1148, 1496, 7271, 2500, 1192, 1845, 13889, 11779, 488, 124, 132, 125, 124, 1188, 488, 125, 123, 124, 131, 1496, 1299, 1318, 7051, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1186, 21593, 121, 3450, 1299, 26033, 2290, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 22065, 1188, 1158, 1225, 2150, 1197, 8533, 21544, 8332, 19074, 1863, 1117, 1150, 1167, 17194, 1912, 197, 2497, 1810, 1188, 19682, 1186, 21593, 7745, 1123, 10878, 1300, 1170, 5566, 1194, 15784, 2615, 1214, 1186, 31059, 1154, 2982, 7572, 13775, 3981, 1922, 1148, 1299, 1318, 7051, 1125, 9251, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 121, 3450, 1299, 10019, 1835, 1158, 7051, 20313, 6930, 6293, 248, 6037, 1186, 4595, 1227, 5503, 1153, 17261, 1124, 1125, 9292, 1516, 248, 6037, 1167, 1158, 7051, 1192, 1845, 1210, 1810, 1186, 4595, 1227, 5503, 1153, 3728, 11169, 1124, 3740, 30079, 9924, 1197, 2069, 18122, 1125, 1158, 3028, 20767, 12854, 1215, 2069, 1179, 1298, 4123, 19465, 20481, 1643, 1290, 2071, 3042, 7576, 24896, 1192, 1845, 1210, 1810, 1299, 3591, 1186, 2424, 1170, 1859, 2391, 1125, 30293, 1188, 3871, 10004, 1227, 3151, 1223, 9957, 1315, 1160, 1125, 1158, 3028, 488, 124, 2757, 8431, 3143, 1125, 30960, 1187, 1158, 17827, 1227, 16202, 3266, 3450, 1299, 28359, 1186, 6891, 1188, 1158, 5820, 1253, 1614, 20028, 10019, 1317, 5154, 3794, 2399, 2856, 3042, 1197, 4113, 2339, 1469, 1158, 17827, 28869, 1125, 1204, 3979, 1259, 16330, 30079, 16810, 5503, 1153, 1125, 1158, 3028, 15545, 3817, 1299, 3902, 1186, 2424, 1170, 1223, 9957, 1315, 1160, 7328, 18931, 1849, 1125, 3728, 1927, 1141, 1317, 18762, 17778, 6218, 1874, 1299, 3977, 1227, 12311, 5519, 1845, 13889, 8370, 488, 125, 123, 123, 130, 119, 2399, 1844, 11582, 2519, 15768, 1197, 1179, 1298, 2487, 1207, 3360, 10899, 7144, 1541, 1508, 27372, 8155, 1859, 1158, 7051, 1299, 2674, 24896, 7572, 13775, 3981, 1922, 1148, 1186, 5169, 1125, 1561, 11793, 1469, 1207, 12186, 2493, 1473, 1125, 1158, 3837, 1167, 3143, 1125, 9311, 1158, 21238, 2638, 1469, 1158, 17827, 3002, 10329, 4250, 1224, 1444, 1214, 1215, 1158, 7051, 1192, 1845, 13889, 7162, 3849, 7745, 5507, 1571, 24228, 1194, 8321, 1467, 1167, 26938, 1643, 7051, 11358, 2069, 8139, 6428, 1234, 23416, 3910, 25941, 6053, 1318, 7051, 1357, 4249, 1382, 9045, 1571, 3403, 1188, 19202, 30286, 121, 18512, 17238, 1186, 6233, 15802, 2399, 1299, 15425, 1125, 488, 129, 179, 123, 123, 1188, 488, 124, 179, 126, 123, 8509, 1224, 23858, 7572, 13775, 3981, 1922, 1148, 1299, 30960, 1214, 1215, 1207, 1501, 1623, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1388, 6198, 3880, 1902, 4511, 9579, 4355, 1197, 3483, 5901, 1125, 7960, 7697, 1925, 1254, 11242, 1508, 30960, 1120, 1215, 1207, 12251, 1257, 2172, 2449, 1104, 488, 129, 119, 488, 124, 123, 119, 488, 124, 127, 119, 488, 125, 129, 119, 488, 125, 130, 119, 488, 126, 125, 119, 488, 126, 127, 119, 488, 126, 130, 119, 488, 127, 128, 119, 488, 128, 132, 119, 1254, 124, 119, 1165, 125, 2040, 1167, 20561, 1471, 1104, 1266, 132, 119, 1266, 124, 123, 119, 1266, 124, 124, 119, 1266, 124, 125, 119, 1266, 124, 126, 119, 1266, 124, 127, 119, 1266, 124, 128, 119, 1266, 124, 130, 119, 1266, 125, 128, 119, 1266, 125, 129, 27404, 11793, 1808, 2069, 12186, 19574, 1207, 1408, 15913, 1125, 1158, 7051, 1508, 1170, 14331, 3781, 4779, 23290, 1863, 3382, 29739, 16330, 1167, 1282, 26843, 12405, 1227, 10610, 1125, 6389, 178, 10363, 119, 8446, 1125, 14974, 5719, 1125, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 1343, 121, 1548, 25881, 13677, 26839, 21044, 1167, 1170, 4742, 1227, 1863, 1117, 1150, 1508, 25393, 1188, 9579, 6957, 1653, 1773, 1189, 1996, 1408, 7477, 119, 2368, 10211, 1672, 1207, 2493, 1473, 1227, 16385, 4891, 1167, 1545, 1591, 15406, 3551, 13193, 5299, 7348, 11488, 1167, 20117, 20544, 11052, 15924, 1150, 1125, 19682, 25044, 488, 124, 1227, 30651, 1125, 19682, 7364, 4682, 1457, 1424, 121, 1424, 1388, 23732, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 21527, 1125, 30651, 3591, 1186, 2424, 1186, 488, 124, 132, 125, 124, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28981, 13775, 3981, 1922, 1148, 7890, 1243, 13775, 3981, 1922, 1148, 1496, 7271, 2500, 1192, 1845, 13889, 11779, 488, 124, 132, 125, 124, 1188, 488, 125, 123, 124, 131, 1496, 1299, 1318, 7051, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1186, 21593, 121, 3450, 1299, 26033, 2290, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 22065, 1188, 1158, 1225, 2150, 1197, 8533, 21544, 8332, 19074, 1863, 1117, 1150, 1167, 17194, 1912, 197, 2497, 1810, 1188, 19682, 1186, 21593, 7745, 1123, 10878, 1300, 1170, 5566, 1194, 15784, 2615, 1214, 1186, 31059, 1154, 2982, 7572, 13775, 3981, 1922, 1148, 1299, 1318, 7051, 1125, 9251, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 121, 3450, 1299, 10019, 1835, 1158, 7051, 20313, 6930, 6293, 248, 6037, 1186, 4595, 1227, 5503, 1153, 17261, 1124, 1125, 9292, 1516, 248, 6037, 1167, 1158, 7051, 1192, 1845, 1210, 1810, 1186, 4595, 1227, 5503, 1153, 3728, 11169, 1124, 3740, 30079, 9924, 1197, 2069, 18122, 1125, 1158, 3028, 20767, 12854, 1215, 2069, 1179, 1298, 4123, 19465, 20481, 1643, 1290, 2071, 3042, 7576, 24896, 1192, 1845, 1210, 1810, 1299, 3591, 1186, 2424, 1170, 1859, 2391, 1125, 30293, 1188, 3871, 10004, 1227, 3151, 1223, 9957, 1315, 1160, 1125, 1158, 3028, 488, 124, 2757, 8431, 3143, 1125, 30960, 1187, 1158, 17827, 1227, 16202, 3266, 3450, 1299, 28359, 1186, 6891, 1188, 1158, 5820, 1253, 1614, 20028, 10019, 1317, 5154, 3794, 2399, 2856, 3042, 1197, 4113, 2339, 1469, 1158, 17827, 28869, 1125, 1204, 3979, 1259, 16330, 30079, 16810, 5503, 1153, 1125, 1158, 3028, 15545, 3817, 1299, 3902, 1186, 2424, 1170, 1223, 9957, 1315, 1160, 7328, 18931, 1849, 1125, 3728, 1927, 1141, 1317, 18762, 17778, 6218, 1874, 1299, 3977, 1227, 12311, 5519, 1845, 13889, 8370, 488, 125, 123, 123, 130, 119, 2399, 1844, 11582, 2519, 15768, 1197, 1179, 1298, 2487, 1207, 3360, 10899, 7144, 1541, 1508, 27372, 8155, 1859, 1158, 7051, 1299, 2674, 24896, 7572, 13775, 3981, 1922, 1148, 1186, 5169, 1125, 1561, 11793, 1469, 1207, 12186, 2493, 1473, 1125, 1158, 3837, 1167, 3143, 1125, 9311, 1158, 21238, 2638, 1469, 1158, 17827, 3002, 10329, 4250, 1224, 1444, 1214, 1215, 1158, 7051, 1192, 1845, 13889, 7162, 3849, 7745, 5507, 1571, 24228, 1194, 8321, 1467, 1167, 26938, 1643, 7051, 11358, 2069, 8139, 6428, 1234, 23416, 3910, 25941, 6053, 1318, 7051, 1357, 4249, 1382, 9045, 1571, 3403, 1188, 19202, 30286, 121, 18512, 17238, 1186, 6233, 15802, 2399, 1299, 15425, 1125, 488, 129, 179, 123, 123, 1188, 488, 124, 179, 126, 123, 8509, 1224, 23858, 7572, 13775, 3981, 1922, 1148, 1299, 30960, 1214, 1215, 1207, 1501, 1623, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 1388, 6198, 3880, 1902, 4511, 9579, 4355, 1197, 3483, 5901, 1125, 7960, 7697, 1925, 1254, 11242, 1508, 30960, 1120, 1215, 1207, 12251, 1257, 2172, 2449, 1104, 488, 129, 119, 488, 124, 123, 119, 488, 124, 127, 119, 488, 125, 129, 119, 488, 125, 130, 119, 488, 126, 125, 119, 488, 126, 127, 119, 488, 126, 130, 119, 488, 127, 128, 119, 488, 128, 132, 119, 1254, 124, 119, 1165, 125, 2040, 1167, 20561, 1471, 1104, 1266, 132, 119, 1266, 124, 123, 119, 1266, 124, 124, 119, 1266, 124, 125, 119, 1266, 124, 126, 119, 1266, 124, 127, 119, 1266, 124, 128, 119, 1266, 124, 130, 119, 1266, 125, 128, 119, 1266, 125, 129, 27404, 11793, 1808, 2069, 12186, 19574, 1207, 1408, 15913, 1125, 1158, 7051, 1508, 1170, 14331, 3781, 4779, 23290, 1863, 3382, 29739, 16330, 1167, 1282, 26843, 12405, 1227, 10610, 1125, 6389, 178, 10363, 119, 8446, 1125, 14974, 5719, 1125, 1158, 2320, 1125, 5613, 2402, 24993, 120, 7914, 1328, 120, 2834, 1343, 121, 1548, 25881, 13677, 26839, 21044, 1167, 1170, 4742, 1227, 1863, 1117, 1150, 1508, 25393, 1188, 9579, 6957, 1653, 1773, 1189, 1996, 1408, 7477, 119, 2368, 10211, 1672, 1207, 2493, 1473, 1227, 16385, 4891, 1167, 1545, 1591, 15406, 3551, 13193, 5299, 7348, 11488, 1167, 20117, 20544, 11052, 15924, 1150, 1125, 19682, 25044, 488, 124, 1227, 30651, 1125, 19682, 7364, 4682, 1457, 1424, 121, 1424, 1388, 23732, 1125, 1158, 3028, 488, 124, 1227, 30651, 1125, 19682, 21527, 1125, 30651, 3591, 1186, 2424, 1186, 488, 124, 132, 125, 124, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 3755, 1606, 4055, 7625, 1450, 1524, 23490, 1855, 1633, 244, 3049, 1160, 1189, 6231, 1125, 27678, 1362, 9933, 1125, 1909, 5367, 21339, 1297, 2576, 1398, 3156, 1158, 4055, 7625, 1450, 23490, 2442, 9933, 1125, 2183, 1207, 4055, 1297, 6053, 1189, 11566, 4840, 1227, 5055, 1325, 1468, 3640, 18898, 1107, 1577, 4058, 10791, 6706, 4055, 7625, 1450, 1915, 1823, 28208, 1257, 1238, 1915, 2442, 8508, 1125, 4055, 7625, 1450, 19101, 7664, 1125, 4055, 7625, 1450, 7755, 19600, 6261, 1388, 3466, 5332, 2072, 1207, 7779, 4055, 1383, 1203, 1126, 3615, 1869, 10329, 17183, 1460, 7340, 12397, 1170, 7088, 1781, 4010, 1125, 1158, 9287, 1496, 1734, 4215, 7625, 1450, 1362, 4055, 176, 1517, 4654, 3190, 26437, 20751, 1473, 1227, 6706, 4055, 7625, 1450, 1188, 9631, 1881, 16738, 1508, 7008, 9786, 1186, 7577, 5964, 1256, 27115, 1197, 4208, 30201, 1125, 27678, 1186, 2321, 1125, 2770, 21841, 7254, 6565, 1338, 1717, 1362, 28617, 4321, 1856, 1158, 488, 1131, 1519, 7625, 1450, 1256, 5916, 1374, 1207, 27678, 5147, 23044, 10793, 7958, 114, 1398, 3156, 488, 1185, 24704, 7625, 1450, 4407, 1199, 1318, 4438, 10894, 1188, 2143, 3077, 1479, 1450, 116, 1362, 1158, 488, 1498, 26547, 1201, 1479, 1450, 1256, 27115, 1207, 27678, 1125, 8632, 1362, 5147, 23044, 8632, 1388, 17239, 2892, 4465, 1685, 1462, 1129, 1167, 4989, 1129, 1207, 21841, 1125, 1158, 10838, 2357, 1856, 6253, 1121, 1384, 1362, 31774, 2504, 1186, 12350, 14782, 16874, 1129, 2072, 1158, 5219, 5997, 2163, 7216, 4083, 1980, 1104, 3136, 24583, 116, 1197, 4055, 1297, 4787, 3213, 4465, 16786, 1197, 22161, 1125, 27678, 1167, 22020, 1129, 1197, 3760, 5458, 6614, 1300, 1207, 18711, 1207, 1408, 28595, 1175, 5568, 119, 28435, 9882, 119, 4334, 24970, 2555, 7153, 1199, 2442, 1207, 4055, 1277, 1392, 5252, 3157, 196, 1883, 1362, 13509, 1234, 1317, 3840, 7662, 1125, 1158, 8077, 8509, 4751, 1460, 6321, 12616, 4055, 7625, 1450, 7032, 6504, 1318, 3650, 1125, 10979, 7958, 1593, 27081, 2009, 116, 3702, 5685, 3458, 6766, 10586, 2089, 1158, 10597, 1125, 1158, 7015, 6957, 8921, 1667, 3419, 3274, 3056, 2810, 5485, 1197, 10102, 1125, 3274, 3615, 196, 2402, 1495, 2620, 4690, 5889, 2620, 12445, 8379, 19205, 1469, 26711, 1348, 1317, 5545, 1125, 1158, 4055, 7625, 1450, 1388, 7244, 1125, 2802, 10683, 2234, 14564, 22855, 29683, 2072, 1313, 1158, 4055, 7625, 1450, 1189, 10489, 1153, 1167, 1189, 25065, 10683, 1364, 11345, 1170, 2088, 26593, 1496, 2487, 1238, 1915, 8004, 1659, 1125, 4418, 23970, 2806, 1197, 3412, 20921, 23837, 11246, 1362, 2129, 3589, 1416, 3007, 3725, 1197, 21841, 20921, 8366, 1954, 19429, 1186, 2321, 1215, 4070, 1227, 14661, 1197, 18711, 29222, 1362, 1125, 19910, 1362, 1227, 8800, 1227, 4055, 5984, 11488, 1167, 5474, 13374, 11052, 2093, 26837, 106, 7789, 3056, 106, 7789, 488, 125, 121, 123, 32001, 1424, 32000, 20036, 2359, 3755, 1606, 4055, 7625, 1450, 1524, 23490, 1855, 1633, 244, 3049, 1160, 1189, 6231, 1125, 27678, 1362, 9933, 1125, 1909, 5367, 21339, 1297, 2576, 1398, 3156, 1158, 4055, 7625, 1450, 23490, 2442, 9933, 1125, 2183, 1207, 4055, 1297, 6053, 1189, 11566, 4840, 1227, 5055, 1325, 1468, 3640, 18898, 1107, 1577, 4058, 10791, 6706, 4055, 7625, 1450, 1915, 1823, 28208, 1257, 1238, 1915, 2442, 8508, 1125, 4055, 7625, 1450, 19101, 7664, 1125, 4055, 7625, 1450, 7755, 19600, 6261, 1388, 3466, 5332, 2072, 1207, 7779, 4055, 1383, 1203, 1126, 3615, 1869, 10329, 17183, 1460, 7340, 12397, 1170, 7088, 1781, 4010, 1125, 1158, 9287, 1496, 1734, 4215, 7625, 1450, 1362, 4055, 176, 1517, 4654, 3190, 26437, 20751, 1473, 1227, 6706, 4055, 7625, 1450, 1188, 9631, 1881, 16738, 1508, 7008, 9786, 1186, 7577, 5964, 1256, 27115, 1197, 4208, 30201, 1125, 27678, 1186, 2321, 1125, 2770, 21841, 7254, 6565, 1338, 1717, 1362, 28617, 4321, 1856, 1158, 488, 1131, 1519, 7625, 1450, 1256, 5916, 1374, 1207, 27678, 5147, 23044, 10793, 7958, 114, 1398, 3156, 488, 1185, 24704, 7625, 1450, 4407, 1199, 1318, 4438, 10894, 1188, 2143, 3077, 1479, 1450, 116, 1362, 1158, 488, 1498, 26547, 1201, 1479, 1450, 1256, 27115, 1207, 27678, 1125, 8632, 1362, 5147, 23044, 8632, 1388, 17239, 2892, 4465, 1685, 1462, 1129, 1167, 4989, 1129, 1207, 21841, 1125, 1158, 10838, 2357, 1856, 6253, 1121, 1384, 1362, 31774, 2504, 1186, 12350, 14782, 16874, 1129, 2072, 1158, 5219, 5997, 2163, 7216, 4083, 1980, 1104, 3136, 24583, 116, 1197, 4055, 1297, 4787, 3213, 4465, 16786, 1197, 22161, 1125, 27678, 1167, 22020, 1129, 1197, 3760, 5458, 6614, 1300, 1207, 18711, 1207, 1408, 28595, 1175, 5568, 119, 28435, 9882, 119, 4334, 24970, 2555, 7153, 1199, 2442, 1207, 4055, 1277, 1392, 5252, 3157, 196, 1883, 1362, 13509, 1234, 1317, 3840, 7662, 1125, 1158, 8077, 8509, 4751, 1460, 6321, 12616, 4055, 7625, 1450, 7032, 6504, 1318, 3650, 1125, 10979, 7958, 1593, 27081, 2009, 116, 3702, 5685, 3458, 6766, 10586, 2089, 1158, 10597, 1125, 1158, 7015, 6957, 8921, 1667, 3419, 3274, 3056, 2810, 5485, 1197, 10102, 1125, 3274, 3615, 196, 2402, 1495, 2620, 4690, 5889, 2620, 12445, 8379, 19205, 1469, 26711, 1348, 1317, 5545, 1125, 1158, 4055, 7625, 1450, 1388, 7244, 1125, 2802, 10683, 2234, 14564, 22855, 29683, 2072, 1313, 1158, 4055, 7625, 1450, 1189, 10489, 1153, 1167, 1189, 25065, 10683, 1364, 11345, 1170, 2088, 26593, 1496, 2487, 1238, 1915, 8004, 1659, 1125, 4418, 23970, 2806, 1197, 3412, 20921, 23837, 11246, 1362, 2129, 3589, 1416, 3007, 3725, 1197, 21841, 20921, 8366, 1954, 19429, 1186, 2321, 1215, 4070, 1227, 14661, 1197, 18711, 29222, 1362, 1125, 19910, 1362, 1227, 8800, 1227, 4055, 5984, 11488, 1167, 5474, 13374, 11052, 2093, 26837, 106, 7789, 3056, 106, 7789, 488, 125, 121, 123, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 3755, 1606, 4055, 7625, 1450, 1524, 23490, 1855, 1633, 244, 3049, 1160, 1189, 6231, 1125, 27678, 1362, 9933, 1125, 1909, 5367, 21339, 1297, 2576, 1398, 3156, 1158, 4055, 7625, 1450, 23490, 2442, 9933, 1125, 2183, 1207, 4055, 1297, 6053, 1189, 11566, 4840, 1227, 5055, 1325, 1468, 3640, 18898, 1107, 1577, 4058, 10791, 6706, 4055, 7625, 1450, 1915, 1823, 28208, 1257, 1238, 1915, 2442, 8508, 1125, 4055, 7625, 1450, 19101, 7664, 1125, 4055, 7625, 1450, 7755, 19600, 6261, 1388, 3466, 5332, 2072, 1207, 7779, 4055, 1383, 1203, 1126, 3615, 1869, 10329, 17183, 1460, 7340, 12397, 1170, 7088, 1781, 4010, 1125, 1158, 9287, 1496, 1734, 4215, 7625, 1450, 1362, 4055, 176, 1517, 4654, 3190, 26437, 20751, 1473, 1227, 6706, 4055, 7625, 1450, 1188, 9631, 1881, 16738, 1508, 7008, 9786, 1186, 7577, 5964, 1256, 27115, 1197, 4208, 30201, 1125, 27678, 1186, 2321, 1125, 2770, 21841, 7254, 6565, 1338, 1717, 1362, 28617, 4321, 1856, 1158, 488, 1131, 1519, 7625, 1450, 1256, 5916, 1374, 1207, 27678, 5147, 23044, 10793, 7958, 114, 1398, 3156, 488, 1185, 24704, 7625, 1450, 4407, 1199, 1318, 4438, 10894, 1188, 2143, 3077, 1479, 1450, 116, 1362, 1158, 488, 1498, 26547, 1201, 1479, 1450, 1256, 27115, 1207, 27678, 1125, 8632, 1362, 5147, 23044, 8632, 1388, 17239, 2892, 4465, 1685, 1462, 1129, 1167, 4989, 1129, 1207, 21841, 1125, 1158, 10838, 2357, 1856, 6253, 1121, 1384, 1362, 31774, 2504, 1186, 12350, 14782, 16874, 1129, 2072, 1158, 5219, 5997, 2163, 7216, 4083, 1980, 1104, 3136, 24583, 116, 1197, 4055, 1297, 4787, 3213, 4465, 16786, 1197, 22161, 1125, 27678, 1167, 22020, 1129, 1197, 3760, 5458, 6614, 1300, 1207, 18711, 1207, 1408, 28595, 1175, 5568, 119, 28435, 9882, 119, 4334, 24970, 2555, 7153, 1199, 2442, 1207, 4055, 1277, 1392, 5252, 3157, 196, 1883, 1362, 13509, 1234, 1317, 3840, 7662, 1125, 1158, 8077, 8509, 4751, 1460, 6321, 12616, 4055, 7625, 1450, 7032, 6504, 1318, 3650, 1125, 10979, 7958, 1593, 27081, 2009, 116, 3702, 5685, 3458, 6766, 10586, 2089, 1158, 10597, 1125, 1158, 7015, 6957, 8921, 1667, 3419, 3274, 3056, 2810, 5485, 1197, 10102, 1125, 3274, 3615, 196, 2402, 1495, 2620, 4690, 5889, 2620, 12445, 8379, 19205, 1469, 26711, 1348, 1317, 5545, 1125, 1158, 4055, 7625, 1450, 1388, 7244, 1125, 2802, 10683, 2234, 14564, 22855, 29683, 2072, 1313, 1158, 4055, 7625, 1450, 1189, 10489, 1153, 1167, 1189, 25065, 10683, 1364, 11345, 1170, 2088, 26593, 1496, 2487, 1238, 1915, 8004, 1659, 1125, 4418, 23970, 2806, 1197, 3412, 20921, 23837, 11246, 1362, 2129, 3589, 1416, 3007, 3725, 1197, 21841, 20921, 8366, 1954, 19429, 1186, 2321, 1215, 4070, 1227, 14661, 1197, 18711, 29222, 1362, 1125, 19910, 1362, 1227, 8800, 1227, 4055, 5984, 11488, 1167, 5474, 13374, 11052, 2093, 26837, 106, 7789, 3056, 106, 7789, 488, 125, 121, 123, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 11306, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1175, 409, 418, 399, 413, 423, 417, 1496, 5252, 1170, 488, 124, 132, 2578, 488, 124, 132, 126, 132, 1188, 1233, 6787, 1148, 1167, 4541, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 1198, 1145, 3366, 1299, 1189, 1127, 26495, 1186, 8077, 1125, 12103, 1167, 19166, 1125, 9452, 119, 1125, 12103, 119, 1167, 1125, 14022, 1111, 10557, 1354, 14231, 1424, 153, 244, 1188, 1233, 6787, 3212, 1527, 4212, 2797, 1158, 12614, 1188, 1306, 6381, 1174, 1200, 1221, 121, 4511, 19910, 1125, 488, 132, 5305, 1186, 488, 124, 132, 127, 131, 119, 1527, 18764, 1189, 6315, 1313, 10335, 1384, 13005, 1118, 1653, 185, 2564, 2564, 121, 4511, 19910, 1125, 488, 124, 129, 5305, 1527, 1281, 12208, 1313, 1170, 12103, 1257, 1527, 13300, 3042, 1317, 3274, 5430, 237, 1216, 1132, 1197, 1933, 4519, 28252, 1462, 1125, 1306, 6381, 1174, 1200, 1221, 7552, 2136, 2782, 15720, 1594, 2424, 11894, 1186, 488, 124, 132, 129, 127, 119, 1527, 13300, 1188, 1158, 9545, 9029, 23586, 1186, 4083, 1980, 1322, 9965, 1188, 1158, 3591, 1186, 8077, 2290, 1158, 4595, 5519, 1269, 6507, 23341, 2754, 1318, 9545, 20875, 1188, 1306, 6381, 1174, 1130, 1186, 488, 124, 132, 129, 131, 121, 1653, 488, 124, 132, 130, 124, 119, 1527, 30816, 1561, 3453, 3591, 1186, 8077, 6049, 1313, 1306, 1635, 12684, 1623, 1125, 6927, 10036, 2567, 1125, 4271, 1186, 8077, 1548, 5696, 1265, 1125, 14481, 1439, 1125, 7451, 2460, 30034, 1532, 1186, 488, 124, 132, 130, 127, 8370, 488, 124, 132, 131, 125, 119, 1527, 10809, 1170, 6315, 1125, 6453, 1176, 1313, 1643, 3550, 1159, 1125, 1200, 12272, 5763, 1276, 2508, 2357, 14132, 1188, 1158, 21297, 1317, 18367, 1227, 8415, 1608, 1369, 1188, 2801, 2040, 1527, 13300, 2072, 1188, 1158, 14132, 1125, 1321, 2564, 1219, 1890, 1125, 8702, 1548, 15236, 6154, 191, 12258, 7354, 2445, 4643, 1793, 1197, 5505, 1473, 1167, 2132, 23220, 4610, 1125, 1158, 1198, 2740, 1125, 12103, 1125, 1158, 3837, 1125, 1198, 1145, 5068, 25066, 4112, 1281, 5931, 3747, 3203, 2768, 1188, 2801, 1175, 2103, 244, 7268, 1125, 1158, 8085, 1496, 2442, 8688, 28408, 22729, 1317, 13728, 119, 1186, 4839, 196, 1965, 1188, 1352, 14662, 1186, 2605, 14378, 3212, 1317, 4839, 3100, 1186, 16758, 5544, 1317, 1518, 15428, 250, 191, 1167, 1317, 27192, 7745, 172, 7577, 14603, 1378, 1299, 10905, 13430, 1723, 1527, 9563, 2077, 3394, 1160, 15173, 17779, 1167, 9400, 7552, 173, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1281, 28899, 1125, 1158, 8077, 1186, 5169, 2519, 9774, 1167, 19859, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 19910, 1125, 488, 130, 127, 2165, 2040, 1527, 1299, 14786, 11125, 1170, 2574, 2076, 1317, 30228, 1125, 7358, 182, 2589, 1314, 1188, 1306, 6381, 1174, 1200, 1221, 14023, 6417, 4134, 12498, 7359, 24367, 1819, 28084, 1194, 2103, 244, 7268, 19155, 1439, 1186, 8077, 1186, 4083, 1980, 1174, 1793, 19155, 1439, 1186, 8077, 1186, 4083, 1309, 5843, 4713, 7775, 1430, 1167, 17836, 5702, 1424, 488, 124, 132, 131, 126, 1257, 3151, 3248, 15857, 24913, 17072, 1314, 1317, 9461, 1197, 8743, 5629, 13913, 6482, 106, 488, 124, 132, 131, 132, 1257, 3726, 1374, 1227, 1204, 1356, 1286, 16191, 9323, 1167, 16828, 5825, 2093, 3742, 1836, 1111, 10557, 1354, 1125, 9452, 9449, 1836, 1111, 10557, 1354, 1125, 14022, 9449, 1836, 1111, 10557, 1354, 1125, 12103, 1720, 26495, 1186, 8077, 1111, 10557, 1354, 8156, 1186, 2578, 488, 124, 132, 126, 132, 8156, 1188, 1233, 6787, 1148, 8156, 1313, 1170, 9472, 1121, 1128, 2720, 1125, 28701, 9317, 1186, 2875, 488, 125, 123, 124, 127, 9317, 1188, 16869, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 32000, 20036, 10349, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1175, 409, 418, 399, 413, 423, 417, 1496, 5252, 1170, 488, 124, 132, 2578, 488, 124, 132, 126, 132, 1188, 1233, 6787, 1148, 1167, 4541, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 1198, 1145, 3366, 1299, 1189, 1127, 26495, 1186, 8077, 1125, 12103, 1167, 19166, 1125, 9452, 119, 1125, 12103, 119, 1167, 1125, 14022, 1111, 10557, 1354, 14231, 1424, 153, 244, 1188, 1233, 6787, 3212, 1527, 4212, 2797, 1158, 12614, 1188, 1306, 6381, 1174, 1200, 1221, 121, 4511, 19910, 1125, 488, 132, 5305, 1186, 488, 124, 132, 127, 131, 119, 1527, 18764, 1189, 6315, 1313, 10335, 1384, 13005, 1118, 1653, 185, 2564, 2564, 121, 4511, 19910, 1125, 488, 124, 129, 5305, 1527, 1281, 12208, 1313, 1170, 12103, 1257, 1527, 13300, 3042, 1317, 3274, 5430, 237, 1216, 1132, 1197, 1933, 4519, 28252, 1462, 1125, 1306, 6381, 1174, 1200, 1221, 7552, 2136, 2782, 15720, 1594, 2424, 11894, 1186, 488, 124, 132, 129, 127, 119, 1527, 13300, 1188, 1158, 9545, 9029, 23586, 1186, 4083, 1980, 1322, 9965, 1188, 1158, 3591, 1186, 8077, 2290, 1158, 4595, 5519, 1269, 6507, 23341, 2754, 1318, 9545, 20875, 1188, 1306, 6381, 1174, 1130, 1186, 488, 124, 132, 129, 131, 121, 1653, 488, 124, 132, 130, 124, 119, 1527, 30816, 1561, 3453, 3591, 1186, 8077, 6049, 1313, 1306, 1635, 12684, 1623, 1125, 6927, 10036, 2567, 1125, 4271, 1186, 8077, 1548, 5696, 1265, 1125, 14481, 1439, 1125, 7451, 2460, 30034, 1532, 1186, 488, 124, 132, 130, 127, 8370, 488, 124, 132, 131, 125, 119, 1527, 10809, 1170, 6315, 1125, 6453, 1176, 1313, 1643, 3550, 1159, 1125, 1200, 12272, 5763, 1276, 2508, 2357, 14132, 1188, 1158, 21297, 1317, 18367, 1227, 8415, 1608, 1369, 1188, 2801, 2040, 1527, 13300, 2072, 1188, 1158, 14132, 1125, 1321, 2564, 1219, 1890, 1125, 8702, 1548, 15236, 6154, 191, 12258, 7354, 2445, 4643, 1793, 1197, 5505, 1473, 1167, 2132, 23220, 4610, 1125, 1158, 1198, 2740, 1125, 12103, 1125, 1158, 3837, 1125, 1198, 1145, 5068, 25066, 4112, 1281, 5931, 3747, 3203, 2768, 1188, 2801, 1175, 2103, 244, 7268, 1125, 1158, 8085, 1496, 2442, 8688, 28408, 22729, 1317, 13728, 119, 1186, 4839, 196, 1965, 1188, 1352, 14662, 1186, 2605, 14378, 3212, 1317, 4839, 3100, 1186, 16758, 5544, 1317, 1518, 15428, 250, 191, 1167, 1317, 27192, 7745, 172, 7577, 14603, 1378, 1299, 10905, 13430, 1723, 1527, 9563, 2077, 3394, 1160, 15173, 17779, 1167, 9400, 7552, 173, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1281, 28899, 1125, 1158, 8077, 1186, 5169, 2519, 9774, 1167, 19859, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 19910, 1125, 488, 130, 127, 2165, 2040, 1527, 1299, 14786, 11125, 1170, 2574, 2076, 1317, 30228, 1125, 7358, 182, 2589, 1314, 1188, 1306, 6381, 1174, 1200, 1221, 14023, 6417, 4134, 12498, 7359, 24367, 1819, 28084, 1194, 2103, 244, 7268, 19155, 1439, 1186, 8077, 1186, 4083, 1980, 1174, 1793, 19155, 1439, 1186, 8077, 1186, 4083, 1309, 5843, 4713, 7775, 1430, 1167, 17836, 5702, 1424, 488, 124, 132, 131, 126, 1257, 3151, 3248, 15857, 24913, 17072, 1314, 1317, 9461, 1197, 8743, 5629, 13913, 6482, 106, 488, 124, 132, 131, 132, 1257, 3726, 1374, 1227, 1204, 1356, 1286, 16191, 9323, 1167, 16828, 5825, 2093, 3742, 1836, 1111, 10557, 1354, 1125, 9452, 9449, 1836, 1111, 10557, 1354, 1125, 14022, 9449, 1836, 1111, 10557, 1354, 1125, 12103, 1720, 26495, 1186, 8077, 1111, 10557, 1354, 8156, 1186, 2578, 488, 124, 132, 126, 132, 8156, 1188, 1233, 6787, 1148, 8156, 1313, 1170, 9472, 1121, 1128, 2720, 1125, 28701, 9317, 1186, 2875, 488, 125, 123, 124, 127, 9317, 1188, 16869, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10349, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1175, 409, 418, 399, 413, 423, 417, 1496, 5252, 1170, 488, 124, 132, 2578, 488, 124, 132, 126, 132, 1188, 1233, 6787, 1148, 1167, 4541, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 1198, 1145, 3366, 1299, 1189, 1127, 26495, 1186, 8077, 1125, 12103, 1167, 19166, 1125, 9452, 119, 1125, 12103, 119, 1167, 1125, 14022, 1111, 10557, 1354, 14231, 1424, 153, 244, 1188, 1233, 6787, 3212, 1527, 4212, 2797, 1158, 12614, 1188, 1306, 6381, 1174, 1200, 1221, 121, 4511, 19910, 1125, 488, 132, 5305, 1186, 488, 124, 132, 127, 131, 119, 1527, 18764, 1189, 6315, 1313, 10335, 1384, 13005, 1118, 1653, 185, 2564, 2564, 121, 4511, 19910, 1125, 488, 124, 129, 5305, 1527, 1281, 12208, 1313, 1170, 12103, 1257, 1527, 13300, 3042, 1317, 3274, 5430, 237, 1216, 1132, 1197, 1933, 4519, 28252, 1462, 1125, 1306, 6381, 1174, 1200, 1221, 7552, 2136, 2782, 15720, 1594, 2424, 11894, 1186, 488, 124, 132, 129, 127, 119, 1527, 13300, 1188, 1158, 9545, 9029, 23586, 1186, 4083, 1980, 1322, 9965, 1188, 1158, 3591, 1186, 8077, 2290, 1158, 4595, 5519, 1269, 6507, 23341, 2754, 1318, 9545, 20875, 1188, 1306, 6381, 1174, 1130, 1186, 488, 124, 132, 129, 131, 121, 1653, 488, 124, 132, 130, 124, 119, 1527, 30816, 1561, 3453, 3591, 1186, 8077, 6049, 1313, 1306, 1635, 12684, 1623, 1125, 6927, 10036, 2567, 1125, 4271, 1186, 8077, 1548, 5696, 1265, 1125, 14481, 1439, 1125, 7451, 2460, 30034, 1532, 1186, 488, 124, 132, 130, 127, 8370, 488, 124, 132, 131, 125, 119, 1527, 10809, 1170, 6315, 1125, 6453, 1176, 1313, 1643, 3550, 1159, 1125, 1200, 12272, 5763, 1276, 2508, 2357, 14132, 1188, 1158, 21297, 1317, 18367, 1227, 8415, 1608, 1369, 1188, 2801, 2040, 1527, 13300, 2072, 1188, 1158, 14132, 1125, 1321, 2564, 1219, 1890, 1125, 8702, 1548, 15236, 6154, 191, 12258, 7354, 2445, 4643, 1793, 1197, 5505, 1473, 1167, 2132, 23220, 4610, 1125, 1158, 1198, 2740, 1125, 12103, 1125, 1158, 3837, 1125, 1198, 1145, 5068, 25066, 4112, 1281, 5931, 3747, 3203, 2768, 1188, 2801, 1175, 2103, 244, 7268, 1125, 1158, 8085, 1496, 2442, 8688, 28408, 22729, 1317, 13728, 119, 1186, 4839, 196, 1965, 1188, 1352, 14662, 1186, 2605, 14378, 3212, 1317, 4839, 3100, 1186, 16758, 5544, 1317, 1518, 15428, 250, 191, 1167, 1317, 27192, 7745, 172, 7577, 14603, 1378, 1299, 10905, 13430, 1723, 1527, 9563, 2077, 3394, 1160, 15173, 17779, 1167, 9400, 7552, 173, 13373, 1724, 181, 1176, 1200, 1569, 19129, 1281, 28899, 1125, 1158, 8077, 1186, 5169, 2519, 9774, 1167, 19859, 1170, 488, 125, 123, 2875, 488, 125, 123, 124, 127, 1188, 19910, 1125, 488, 130, 127, 2165, 2040, 1527, 1299, 14786, 11125, 1170, 2574, 2076, 1317, 30228, 1125, 7358, 182, 2589, 1314, 1188, 1306, 6381, 1174, 1200, 1221, 14023, 6417, 4134, 12498, 7359, 24367, 1819, 28084, 1194, 2103, 244, 7268, 19155, 1439, 1186, 8077, 1186, 4083, 1980, 1174, 1793, 19155, 1439, 1186, 8077, 1186, 4083, 1309, 5843, 4713, 7775, 1430, 1167, 17836, 5702, 1424, 488, 124, 132, 131, 126, 1257, 3151, 3248, 15857, 24913, 17072, 1314, 1317, 9461, 1197, 8743, 5629, 13913, 6482, 106, 488, 124, 132, 131, 132, 1257, 3726, 1374, 1227, 1204, 1356, 1286, 16191, 9323, 1167, 16828, 5825, 2093, 3742, 1836, 1111, 10557, 1354, 1125, 9452, 9449, 1836, 1111, 10557, 1354, 1125, 14022, 9449, 1836, 1111, 10557, 1354, 1125, 12103, 1720, 26495, 1186, 8077, 1111, 10557, 1354, 8156, 1186, 2578, 488, 124, 132, 126, 132, 8156, 1188, 1233, 6787, 1148, 8156, 1313, 1170, 9472, 1121, 1128, 2720, 1125, 28701, 9317, 1186, 2875, 488, 125, 123, 124, 127, 9317, 1188, 16869, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 4497, 10779, 2508, 2688, 7344, 1105, 116, 1299, 1318, 16074, 16185, 22549, 1115, 1955, 1176, 9478, 2805, 5007, 1301, 19115, 116, 1125, 1158, 4446, 1197, 1200, 5451, 172, 1108, 7726, 1965, 1125, 1158, 2290, 2874, 22137, 1197, 23501, 2508, 1128, 3382, 176, 1167, 1227, 7433, 23501, 2508, 2688, 8509, 5842, 1109, 1430, 1424, 155, 10779, 2508, 2688, 7344, 1105, 1110, 1913, 13523, 1215, 18651, 1783, 1266, 1769, 1137, 4849, 17488, 8381, 8980, 22347, 1167, 1209, 6645, 1992, 4847, 1633, 2719, 262, 1669, 1107, 1186, 488, 124, 130, 130, 128, 7745, 1869, 10329, 1257, 4115, 1150, 1331, 2688, 7344, 1105, 7885, 10599, 26350, 1183, 11974, 10791, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 1281, 1874, 1232, 1186, 9400, 14163, 1105, 2893, 3955, 1186, 10816, 1997, 180, 234, 175, 1172, 1210, 3551, 183, 239, 1203, 1149, 1167, 1186, 24587, 17397, 1203, 1165, 1343, 4180, 7745, 1212, 120, 4870, 243, 1887, 2093, 23501, 2508, 2688, 7344, 1105, 7344, 1105, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1155, 23501, 2508, 2688, 7344, 1105, 1498, 1190, 2393, 4653, 9827, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1186, 4897, 174, 2649, 1141, 1214, 1155, 23501, 2508, 2688, 7344, 1105, 4592, 197, 173, 14764, 180, 3835, 1157, 193, 1517, 4280, 488, 124, 132, 124, 126, 1260, 23501, 2508, 2688, 7344, 1105, 1127, 1510, 1172, 1462, 1120, 14165, 186, 242, 22429, 488, 124, 132, 131, 123, 116, 1313, 1170, 7758, 1125, 1158, 1173, 1456, 2974, 1167, 1186, 1204, 1510, 26530, 1155, 23501, 2508, 2688, 7344, 1105, 1139, 1307, 2904, 4735, 1175, 2524, 1173, 1193, 10459, 119, 488, 124, 132, 125, 127, 116, 1186, 21593, 1155, 23501, 2508, 2688, 7344, 1105, 2207, 179, 1507, 1532, 6221, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1313, 1170, 18762, 1182, 1125, 23430, 1167, 1170, 8030, 1227, 1165, 2649, 1483, 29227, 14564, 2119, 1189, 2205, 4170, 4105, 9556, 1357, 5004, 1189, 3900, 12657, 2923, 19643, 119, 1170, 17327, 1227, 11325, 1126, 1299, 16940, 1188, 3564, 6676, 1278, 1638, 1439, 1167, 23932, 1842, 1561, 1292, 16784, 3977, 1125, 1158, 2820, 1378, 1299, 1557, 24525, 1207, 2069, 31471, 1318, 1360, 1678, 16816, 8155, 17672, 1299, 1143, 2156, 22190, 2519, 3028, 1125, 4153, 7272, 190, 4263, 1395, 1234, 1125, 7207, 1167, 1318, 3028, 16816, 13778, 11341, 1399, 1601, 10997, 1388, 144, 2145, 13006, 9993, 1424, 17239, 2892, 23501, 2508, 1128, 3382, 176, 2004, 119, 1313, 1158, 2076, 1110, 1229, 1125, 17817, 119, 1197, 2820, 1717, 2205, 10993, 2234, 9663, 180, 4058, 12662, 1550, 1451, 1125, 3035, 1167, 12841, 3802, 1162, 25268, 20963, 1245, 1317, 19566, 1125, 6018, 1270, 1108, 1415, 1357, 1299, 1540, 15604, 1215, 1197, 3663, 184, 3366, 16181, 10737, 1139, 1205, 1659, 16181, 10737, 1294, 1354, 1153, 1167, 6102, 5245, 1268, 1128, 1462, 1120, 12258, 23404, 1186, 1318, 13964, 119, 1186, 2921, 9284, 2900, 1388, 3956, 2972, 1166, 22970, 12928, 1104, 12267, 1166, 22970, 1508, 1197, 2502, 1383, 1857, 1210, 1120, 1257, 2502, 1383, 1857, 1210, 1120, 2383, 24912, 2502, 1383, 1857, 1210, 1120, 1294, 173, 1810, 2502, 1383, 1857, 1210, 1120, 1400, 1108, 16154, 24962, 174, 4058, 1167, 6847, 25268, 1299, 2595, 1186, 9644, 1429, 9396, 1473, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1186, 10665, 11438, 6556, 10034, 2620, 1173, 1660, 5650, 14345, 11438, 13366, 20048, 1202, 1737, 6664, 25350, 8297, 2620, 1300, 1158, 20707, 2571, 1164, 3125, 2648, 1571, 9359, 1158, 19192, 1313, 2797, 1282, 4282, 2620, 1186, 1173, 1456, 22729, 1204, 1510, 26530, 1167, 7328, 27542, 3113, 250, 1388, 2853, 1467, 29803, 1199, 1313, 1207, 23116, 2720, 1346, 2445, 2595, 1313, 1207, 1202, 18427, 4321, 1170, 10626, 1221, 15356, 2726, 1170, 1321, 10103, 9663, 18447, 2249, 12928, 1105, 30344, 1299, 20723, 1125, 8936, 2167, 6026, 2961, 1250, 1710, 190, 1362, 1125, 6141, 1455, 9794, 1388, 2101, 6736, 1424, 155, 1141, 1125, 8774, 1125, 4272, 6564, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 26328, 1955, 1176, 9478, 1450, 1489, 5451, 172, 1108, 19609, 7364, 5825, 1424, 1929, 186, 3268, 1213, 14796, 1104, 5532, 1955, 180, 114, 15680, 1566, 1301, 19115, 1125, 1202, 3534, 1118, 120, 7914, 3515, 17994, 1424, 159, 1137, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 12141, 1197, 4105, 19115, 22572, 1167, 5519, 9971, 1227, 31082, 6291, 1519, 1541, 1167, 18096, 1182, 183, 2357, 488, 124, 132, 132, 131, 5532, 1955, 1176, 9478, 1450, 29610, 26350, 1183, 4010, 116, 1200, 5451, 172, 1108, 19609, 1200, 1955, 1176, 9478, 1450, 22572, 1200, 1955, 1176, 9478, 1450, 1304, 31348, 1200, 1955, 1176, 9478, 1450, 13523, 1186, 488, 124, 130, 130, 128, 32001, 1424, 32000, 20036, 2359, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 4497, 10779, 2508, 2688, 7344, 1105, 116, 1299, 1318, 16074, 16185, 22549, 1115, 1955, 1176, 9478, 2805, 5007, 1301, 19115, 116, 1125, 1158, 4446, 1197, 1200, 5451, 172, 1108, 7726, 1965, 1125, 1158, 2290, 2874, 22137, 1197, 23501, 2508, 1128, 3382, 176, 1167, 1227, 7433, 23501, 2508, 2688, 8509, 5842, 1109, 1430, 1424, 155, 10779, 2508, 2688, 7344, 1105, 1110, 1913, 13523, 1215, 18651, 1783, 1266, 1769, 1137, 4849, 17488, 8381, 8980, 22347, 1167, 1209, 6645, 1992, 4847, 1633, 2719, 262, 1669, 1107, 1186, 488, 124, 130, 130, 128, 7745, 1869, 10329, 1257, 4115, 1150, 1331, 2688, 7344, 1105, 7885, 10599, 26350, 1183, 11974, 10791, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 1281, 1874, 1232, 1186, 9400, 14163, 1105, 2893, 3955, 1186, 10816, 1997, 180, 234, 175, 1172, 1210, 3551, 183, 239, 1203, 1149, 1167, 1186, 24587, 17397, 1203, 1165, 1343, 4180, 7745, 1212, 120, 4870, 243, 1887, 2093, 23501, 2508, 2688, 7344, 1105, 7344, 1105, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1155, 23501, 2508, 2688, 7344, 1105, 1498, 1190, 2393, 4653, 9827, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1186, 4897, 174, 2649, 1141, 1214, 1155, 23501, 2508, 2688, 7344, 1105, 4592, 197, 173, 14764, 180, 3835, 1157, 193, 1517, 4280, 488, 124, 132, 124, 126, 1260, 23501, 2508, 2688, 7344, 1105, 1127, 1510, 1172, 1462, 1120, 14165, 186, 242, 22429, 488, 124, 132, 131, 123, 116, 1313, 1170, 7758, 1125, 1158, 1173, 1456, 2974, 1167, 1186, 1204, 1510, 26530, 1155, 23501, 2508, 2688, 7344, 1105, 1139, 1307, 2904, 4735, 1175, 2524, 1173, 1193, 10459, 119, 488, 124, 132, 125, 127, 116, 1186, 21593, 1155, 23501, 2508, 2688, 7344, 1105, 2207, 179, 1507, 1532, 6221, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1313, 1170, 18762, 1182, 1125, 23430, 1167, 1170, 8030, 1227, 1165, 2649, 1483, 29227, 14564, 2119, 1189, 2205, 4170, 4105, 9556, 1357, 5004, 1189, 3900, 12657, 2923, 19643, 119, 1170, 17327, 1227, 11325, 1126, 1299, 16940, 1188, 3564, 6676, 1278, 1638, 1439, 1167, 23932, 1842, 1561, 1292, 16784, 3977, 1125, 1158, 2820, 1378, 1299, 1557, 24525, 1207, 2069, 31471, 1318, 1360, 1678, 16816, 8155, 17672, 1299, 1143, 2156, 22190, 2519, 3028, 1125, 4153, 7272, 190, 4263, 1395, 1234, 1125, 7207, 1167, 1318, 3028, 16816, 13778, 11341, 1399, 1601, 10997, 1388, 144, 2145, 13006, 9993, 1424, 17239, 2892, 23501, 2508, 1128, 3382, 176, 2004, 119, 1313, 1158, 2076, 1110, 1229, 1125, 17817, 119, 1197, 2820, 1717, 2205, 10993, 2234, 9663, 180, 4058, 12662, 1550, 1451, 1125, 3035, 1167, 12841, 3802, 1162, 25268, 20963, 1245, 1317, 19566, 1125, 6018, 1270, 1108, 1415, 1357, 1299, 1540, 15604, 1215, 1197, 3663, 184, 3366, 16181, 10737, 1139, 1205, 1659, 16181, 10737, 1294, 1354, 1153, 1167, 6102, 5245, 1268, 1128, 1462, 1120, 12258, 23404, 1186, 1318, 13964, 119, 1186, 2921, 9284, 2900, 1388, 3956, 2972, 1166, 22970, 12928, 1104, 12267, 1166, 22970, 1508, 1197, 2502, 1383, 1857, 1210, 1120, 1257, 2502, 1383, 1857, 1210, 1120, 2383, 24912, 2502, 1383, 1857, 1210, 1120, 1294, 173, 1810, 2502, 1383, 1857, 1210, 1120, 1400, 1108, 16154, 24962, 174, 4058, 1167, 6847, 25268, 1299, 2595, 1186, 9644, 1429, 9396, 1473, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1186, 10665, 11438, 6556, 10034, 2620, 1173, 1660, 5650, 14345, 11438, 13366, 20048, 1202, 1737, 6664, 25350, 8297, 2620, 1300, 1158, 20707, 2571, 1164, 3125, 2648, 1571, 9359, 1158, 19192, 1313, 2797, 1282, 4282, 2620, 1186, 1173, 1456, 22729, 1204, 1510, 26530, 1167, 7328, 27542, 3113, 250, 1388, 2853, 1467, 29803, 1199, 1313, 1207, 23116, 2720, 1346, 2445, 2595, 1313, 1207, 1202, 18427, 4321, 1170, 10626, 1221, 15356, 2726, 1170, 1321, 10103, 9663, 18447, 2249, 12928, 1105, 30344, 1299, 20723, 1125, 8936, 2167, 6026, 2961, 1250, 1710, 190, 1362, 1125, 6141, 1455, 9794, 1388, 2101, 6736, 1424, 155, 1141, 1125, 8774, 1125, 4272, 6564, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 26328, 1955, 1176, 9478, 1450, 1489, 5451, 172, 1108, 19609, 7364, 5825, 1424, 1929, 186, 3268, 1213, 14796, 1104, 5532, 1955, 180, 114, 15680, 1566, 1301, 19115, 1125, 1202, 3534, 1118, 120, 7914, 3515, 17994, 1424, 159, 1137, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 12141, 1197, 4105, 19115, 22572, 1167, 5519, 9971, 1227, 31082, 6291, 1519, 1541, 1167, 18096, 1182, 183, 2357, 488, 124, 132, 132, 131, 5532, 1955, 1176, 9478, 1450, 29610, 26350, 1183, 4010, 116, 1200, 5451, 172, 1108, 19609, 1200, 1955, 1176, 9478, 1450, 22572, 1200, 1955, 1176, 9478, 1450, 1304, 31348, 1200, 1955, 1176, 9478, 1450, 13523, 1186, 488, 124, 130, 130, 128, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 4497, 10779, 2508, 2688, 7344, 1105, 116, 1299, 1318, 16074, 16185, 22549, 1115, 1955, 1176, 9478, 2805, 5007, 1301, 19115, 116, 1125, 1158, 4446, 1197, 1200, 5451, 172, 1108, 7726, 1965, 1125, 1158, 2290, 2874, 22137, 1197, 23501, 2508, 1128, 3382, 176, 1167, 1227, 7433, 23501, 2508, 2688, 8509, 5842, 1109, 1430, 1424, 155, 10779, 2508, 2688, 7344, 1105, 1110, 1913, 13523, 1215, 18651, 1783, 1266, 1769, 1137, 4849, 17488, 8381, 8980, 22347, 1167, 1209, 6645, 1992, 4847, 1633, 2719, 262, 1669, 1107, 1186, 488, 124, 130, 130, 128, 7745, 1869, 10329, 1257, 4115, 1150, 1331, 2688, 7344, 1105, 7885, 10599, 26350, 1183, 11974, 10791, 1173, 2615, 244, 1227, 1114, 1262, 177, 1979, 1281, 1874, 1232, 1186, 9400, 14163, 1105, 2893, 3955, 1186, 10816, 1997, 180, 234, 175, 1172, 1210, 3551, 183, 239, 1203, 1149, 1167, 1186, 24587, 17397, 1203, 1165, 1343, 4180, 7745, 1212, 120, 4870, 243, 1887, 2093, 23501, 2508, 2688, 7344, 1105, 7344, 1105, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1155, 23501, 2508, 2688, 7344, 1105, 1498, 1190, 2393, 4653, 9827, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1186, 4897, 174, 2649, 1141, 1214, 1155, 23501, 2508, 2688, 7344, 1105, 4592, 197, 173, 14764, 180, 3835, 1157, 193, 1517, 4280, 488, 124, 132, 124, 126, 1260, 23501, 2508, 2688, 7344, 1105, 1127, 1510, 1172, 1462, 1120, 14165, 186, 242, 22429, 488, 124, 132, 131, 123, 116, 1313, 1170, 7758, 1125, 1158, 1173, 1456, 2974, 1167, 1186, 1204, 1510, 26530, 1155, 23501, 2508, 2688, 7344, 1105, 1139, 1307, 2904, 4735, 1175, 2524, 1173, 1193, 10459, 119, 488, 124, 132, 125, 127, 116, 1186, 21593, 1155, 23501, 2508, 2688, 7344, 1105, 2207, 179, 1507, 1532, 6221, 4289, 1651, 1554, 182, 1762, 488, 124, 132, 124, 128, 116, 1313, 1170, 18762, 1182, 1125, 23430, 1167, 1170, 8030, 1227, 1165, 2649, 1483, 29227, 14564, 2119, 1189, 2205, 4170, 4105, 9556, 1357, 5004, 1189, 3900, 12657, 2923, 19643, 119, 1170, 17327, 1227, 11325, 1126, 1299, 16940, 1188, 3564, 6676, 1278, 1638, 1439, 1167, 23932, 1842, 1561, 1292, 16784, 3977, 1125, 1158, 2820, 1378, 1299, 1557, 24525, 1207, 2069, 31471, 1318, 1360, 1678, 16816, 8155, 17672, 1299, 1143, 2156, 22190, 2519, 3028, 1125, 4153, 7272, 190, 4263, 1395, 1234, 1125, 7207, 1167, 1318, 3028, 16816, 13778, 11341, 1399, 1601, 10997, 1388, 144, 2145, 13006, 9993, 1424, 17239, 2892, 23501, 2508, 1128, 3382, 176, 2004, 119, 1313, 1158, 2076, 1110, 1229, 1125, 17817, 119, 1197, 2820, 1717, 2205, 10993, 2234, 9663, 180, 4058, 12662, 1550, 1451, 1125, 3035, 1167, 12841, 3802, 1162, 25268, 20963, 1245, 1317, 19566, 1125, 6018, 1270, 1108, 1415, 1357, 1299, 1540, 15604, 1215, 1197, 3663, 184, 3366, 16181, 10737, 1139, 1205, 1659, 16181, 10737, 1294, 1354, 1153, 1167, 6102, 5245, 1268, 1128, 1462, 1120, 12258, 23404, 1186, 1318, 13964, 119, 1186, 2921, 9284, 2900, 1388, 3956, 2972, 1166, 22970, 12928, 1104, 12267, 1166, 22970, 1508, 1197, 2502, 1383, 1857, 1210, 1120, 1257, 2502, 1383, 1857, 1210, 1120, 2383, 24912, 2502, 1383, 1857, 1210, 1120, 1294, 173, 1810, 2502, 1383, 1857, 1210, 1120, 1400, 1108, 16154, 24962, 174, 4058, 1167, 6847, 25268, 1299, 2595, 1186, 9644, 1429, 9396, 1473, 1313, 1170, 7758, 1167, 1170, 4779, 1125, 23430, 1186, 10665, 11438, 6556, 10034, 2620, 1173, 1660, 5650, 14345, 11438, 13366, 20048, 1202, 1737, 6664, 25350, 8297, 2620, 1300, 1158, 20707, 2571, 1164, 3125, 2648, 1571, 9359, 1158, 19192, 1313, 2797, 1282, 4282, 2620, 1186, 1173, 1456, 22729, 1204, 1510, 26530, 1167, 7328, 27542, 3113, 250, 1388, 2853, 1467, 29803, 1199, 1313, 1207, 23116, 2720, 1346, 2445, 2595, 1313, 1207, 1202, 18427, 4321, 1170, 10626, 1221, 15356, 2726, 1170, 1321, 10103, 9663, 18447, 2249, 12928, 1105, 30344, 1299, 20723, 1125, 8936, 2167, 6026, 2961, 1250, 1710, 190, 1362, 1125, 6141, 1455, 9794, 1388, 2101, 6736, 1424, 155, 1141, 1125, 8774, 1125, 4272, 6564, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 26328, 1955, 1176, 9478, 1450, 1489, 5451, 172, 1108, 19609, 7364, 5825, 1424, 1929, 186, 3268, 1213, 14796, 1104, 5532, 1955, 180, 114, 15680, 1566, 1301, 19115, 1125, 1202, 3534, 1118, 120, 7914, 3515, 17994, 1424, 159, 1137, 1198, 1172, 10465, 10290, 18522, 8467, 2114, 12141, 1197, 4105, 19115, 22572, 1167, 5519, 9971, 1227, 31082, 6291, 1519, 1541, 1167, 18096, 1182, 183, 2357, 488, 124, 132, 132, 131, 5532, 1955, 1176, 9478, 1450, 29610, 26350, 1183, 4010, 116, 1200, 5451, 172, 1108, 19609, 1200, 1955, 1176, 9478, 1450, 22572, 1200, 1955, 1176, 9478, 1450, 1304, 31348, 1200, 1955, 1176, 9478, 1450, 13523, 1186, 488, 124, 130, 130, 128, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 30046, 3424, 2463, 1237, 2071, 1408, 9918, 2290, 10721, 2548, 20028, 1248, 14308, 1299, 1318, 9086, 1125, 22154, 1175, 10467, 116, 1256, 1170, 19167, 11053, 1357, 2856, 5751, 7053, 1197, 13018, 2328, 16784, 1300, 1170, 9316, 1197, 6276, 24029, 2576, 4033, 1125, 1816, 7374, 16107, 15318, 2335, 24448, 1248, 14308, 1300, 1158, 6391, 2328, 2009, 29975, 1199, 2008, 12754, 1309, 10276, 20265, 30731, 1317, 4041, 24249, 3342, 2004, 1913, 5990, 4413, 4060, 9086, 1125, 22154, 1299, 2205, 4701, 13409, 1186, 29775, 1469, 1282, 10467, 16981, 15294, 1321, 153, 6212, 1362, 2743, 1469, 1158, 2792, 4264, 1125, 27269, 5858, 1234, 10260, 10654, 1254, 149, 141, 1227, 19167, 11053, 8273, 1567, 20898, 5161, 1357, 1281, 5209, 1186, 6285, 1313, 11053, 6697, 119, 2856, 1158, 4882, 4204, 1170, 22639, 14918, 8665, 4988, 4471, 119, 2757, 1158, 3451, 488, 124, 121, 126, 1227, 1321, 143, 150, 116, 1835, 1197, 12754, 11053, 21560, 1442, 1234, 9261, 1160, 1207, 7900, 1197, 16085, 21603, 2690, 2368, 1398, 1416, 1178, 1199, 1300, 1197, 10561, 10011, 1717, 24093, 10210, 1457, 1248, 14308, 5633, 1286, 1170, 4764, 1197, 7981, 5858, 1473, 1186, 7193, 5725, 1317, 3146, 1929, 1158, 4882, 3449, 1637, 12263, 8273, 1567, 16795, 1835, 1186, 17985, 1469, 1158, 20208, 26466, 8757, 4211, 1277, 1215, 1282, 3490, 10567, 30762, 1167, 1207, 3519, 1357, 1158, 4435, 3310, 1362, 1469, 1158, 11936, 1248, 9128, 2487, 6113, 1197, 11046, 1299, 8887, 18898, 2030, 12401, 1424, 157, 14308, 1299, 20031, 1300, 1198, 6874, 120, 4725, 119, 1170, 11053, 7409, 2303, 14304, 1951, 10473, 9845, 157, 5483, 3563, 4298, 1597, 18099, 10307, 1469, 26466, 8757, 1299, 7115, 1303, 1215, 1248, 14308, 120, 3463, 4471, 1388, 149, 1153, 6055, 235, 1158, 3451, 488, 128, 121, 123, 1227, 1321, 2521, 119, 1527, 21587, 5393, 1189, 1417, 1142, 1793, 1125, 2024, 1512, 1175, 1243, 1287, 116, 13348, 1248, 152, 2560, 2567, 1667, 1186, 12144, 1300, 1170, 24448, 1248, 152, 9808, 18983, 1351, 7655, 1527, 1299, 2638, 1125, 1207, 30922, 6876, 15550, 9663, 13449, 1424, 18517, 2057, 1772, 1105, 1175, 125, 123, 123, 130, 1576, 29232, 1363, 1842, 7556, 3088, 1186, 1321, 1342, 1810, 6749, 8036, 20544, 11052, 1424, 3490, 16735, 6375, 10056, 8665, 6276, 141, 1260, 30046, 19484, 3124, 8665, 1248, 9128, 1260, 1428, 16649, 5806, 120, 2061, 141, 1951, 10473, 8665, 4988, 4471, 1260, 15779, 11771, 8286, 1303, 2882, 8665, 11782, 140, 1718, 28870, 5825, 1424, 30046, 14304, 22241, 4514, 7929, 1300, 1170, 1865, 14609, 18686, 1194, 3956, 1230, 5434, 11053, 1505, 14932, 5858, 244, 10541, 11771, 2341, 2189, 1378, 32001, 1424, 32000, 20036, 1750, 1320, 2303, 3424, 2463, 1237, 2071, 1408, 9918, 2290, 10721, 2548, 20028, 1248, 14308, 1299, 1318, 9086, 1125, 22154, 1175, 10467, 116, 1256, 1170, 19167, 11053, 1357, 2856, 5751, 7053, 1197, 13018, 2328, 16784, 1300, 1170, 9316, 1197, 6276, 24029, 2576, 4033, 1125, 1816, 7374, 16107, 15318, 2335, 24448, 1248, 14308, 1300, 1158, 6391, 2328, 2009, 29975, 1199, 2008, 12754, 1309, 10276, 20265, 30731, 1317, 4041, 24249, 3342, 2004, 1913, 5990, 4413, 4060, 9086, 1125, 22154, 1299, 2205, 4701, 13409, 1186, 29775, 1469, 1282, 10467, 16981, 15294, 1321, 153, 6212, 1362, 2743, 1469, 1158, 2792, 4264, 1125, 27269, 5858, 1234, 10260, 10654, 1254, 149, 141, 1227, 19167, 11053, 8273, 1567, 20898, 5161, 1357, 1281, 5209, 1186, 6285, 1313, 11053, 6697, 119, 2856, 1158, 4882, 4204, 1170, 22639, 14918, 8665, 4988, 4471, 119, 2757, 1158, 3451, 488, 124, 121, 126, 1227, 1321, 143, 150, 116, 1835, 1197, 12754, 11053, 21560, 1442, 1234, 9261, 1160, 1207, 7900, 1197, 16085, 21603, 2690, 2368, 1398, 1416, 1178, 1199, 1300, 1197, 10561, 10011, 1717, 24093, 10210, 1457, 1248, 14308, 5633, 1286, 1170, 4764, 1197, 7981, 5858, 1473, 1186, 7193, 5725, 1317, 3146, 1929, 1158, 4882, 3449, 1637, 12263, 8273, 1567, 16795, 1835, 1186, 17985, 1469, 1158, 20208, 26466, 8757, 4211, 1277, 1215, 1282, 3490, 10567, 30762, 1167, 1207, 3519, 1357, 1158, 4435, 3310, 1362, 1469, 1158, 11936, 1248, 9128, 2487, 6113, 1197, 11046, 1299, 8887, 18898, 2030, 12401, 1424, 157, 14308, 1299, 20031, 1300, 1198, 6874, 120, 4725, 119, 1170, 11053, 7409, 2303, 14304, 1951, 10473, 9845, 157, 5483, 3563, 4298, 1597, 18099, 10307, 1469, 26466, 8757, 1299, 7115, 1303, 1215, 1248, 14308, 120, 3463, 4471, 1388, 149, 1153, 6055, 235, 1158, 3451, 488, 128, 121, 123, 1227, 1321, 2521, 119, 1527, 21587, 5393, 1189, 1417, 1142, 1793, 1125, 2024, 1512, 1175, 1243, 1287, 116, 13348, 1248, 152, 2560, 2567, 1667, 1186, 12144, 1300, 1170, 24448, 1248, 152, 9808, 18983, 1351, 7655, 1527, 1299, 2638, 1125, 1207, 30922, 6876, 15550, 9663, 13449, 1424, 18517, 2057, 1772, 1105, 1175, 125, 123, 123, 130, 1576, 29232, 1363, 1842, 7556, 3088, 1186, 1321, 1342, 1810, 6749, 8036, 20544, 11052, 1424, 3490, 16735, 6375, 10056, 8665, 6276, 141, 1260, 30046, 19484, 3124, 8665, 1248, 9128, 1260, 1428, 16649, 5806, 120, 2061, 141, 1951, 10473, 8665, 4988, 4471, 1260, 15779, 11771, 8286, 1303, 2882, 8665, 11782, 140, 1718, 28870, 5825, 1424, 30046, 14304, 22241, 4514, 7929, 1300, 1170, 1865, 14609, 18686, 1194, 3956, 1230, 5434, 11053, 1505, 14932, 5858, 244, 10541, 11771, 2341, 2189, 1378, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1750, 1320, 2303, 3424, 2463, 1237, 2071, 1408, 9918, 2290, 10721, 2548, 20028, 1248, 14308, 1299, 1318, 9086, 1125, 22154, 1175, 10467, 116, 1256, 1170, 19167, 11053, 1357, 2856, 5751, 7053, 1197, 13018, 2328, 16784, 1300, 1170, 9316, 1197, 6276, 24029, 2576, 4033, 1125, 1816, 7374, 16107, 15318, 2335, 24448, 1248, 14308, 1300, 1158, 6391, 2328, 2009, 29975, 1199, 2008, 12754, 1309, 10276, 20265, 30731, 1317, 4041, 24249, 3342, 2004, 1913, 5990, 4413, 4060, 9086, 1125, 22154, 1299, 2205, 4701, 13409, 1186, 29775, 1469, 1282, 10467, 16981, 15294, 1321, 153, 6212, 1362, 2743, 1469, 1158, 2792, 4264, 1125, 27269, 5858, 1234, 10260, 10654, 1254, 149, 141, 1227, 19167, 11053, 8273, 1567, 20898, 5161, 1357, 1281, 5209, 1186, 6285, 1313, 11053, 6697, 119, 2856, 1158, 4882, 4204, 1170, 22639, 14918, 8665, 4988, 4471, 119, 2757, 1158, 3451, 488, 124, 121, 126, 1227, 1321, 143, 150, 116, 1835, 1197, 12754, 11053, 21560, 1442, 1234, 9261, 1160, 1207, 7900, 1197, 16085, 21603, 2690, 2368, 1398, 1416, 1178, 1199, 1300, 1197, 10561, 10011, 1717, 24093, 10210, 1457, 1248, 14308, 5633, 1286, 1170, 4764, 1197, 7981, 5858, 1473, 1186, 7193, 5725, 1317, 3146, 1929, 1158, 4882, 3449, 1637, 12263, 8273, 1567, 16795, 1835, 1186, 17985, 1469, 1158, 20208, 26466, 8757, 4211, 1277, 1215, 1282, 3490, 10567, 30762, 1167, 1207, 3519, 1357, 1158, 4435, 3310, 1362, 1469, 1158, 11936, 1248, 9128, 2487, 6113, 1197, 11046, 1299, 8887, 18898, 2030, 12401, 1424, 157, 14308, 1299, 20031, 1300, 1198, 6874, 120, 4725, 119, 1170, 11053, 7409, 2303, 14304, 1951, 10473, 9845, 157, 5483, 3563, 4298, 1597, 18099, 10307, 1469, 26466, 8757, 1299, 7115, 1303, 1215, 1248, 14308, 120, 3463, 4471, 1388, 149, 1153, 6055, 235, 1158, 3451, 488, 128, 121, 123, 1227, 1321, 2521, 119, 1527, 21587, 5393, 1189, 1417, 1142, 1793, 1125, 2024, 1512, 1175, 1243, 1287, 116, 13348, 1248, 152, 2560, 2567, 1667, 1186, 12144, 1300, 1170, 24448, 1248, 152, 9808, 18983, 1351, 7655, 1527, 1299, 2638, 1125, 1207, 30922, 6876, 15550, 9663, 13449, 1424, 18517, 2057, 1772, 1105, 1175, 125, 123, 123, 130, 1576, 29232, 1363, 1842, 7556, 3088, 1186, 1321, 1342, 1810, 6749, 8036, 20544, 11052, 1424, 3490, 16735, 6375, 10056, 8665, 6276, 141, 1260, 30046, 19484, 3124, 8665, 1248, 9128, 1260, 1428, 16649, 5806, 120, 2061, 141, 1951, 10473, 8665, 4988, 4471, 1260, 15779, 11771, 8286, 1303, 2882, 8665, 11782, 140, 1718, 28870, 5825, 1424, 30046, 14304, 22241, 4514, 7929, 1300, 1170, 1865, 14609, 18686, 1194, 3956, 1230, 5434, 11053, 1505, 14932, 5858, 244, 10541, 11771, 2341, 2189, 1378, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 6508, 1125, 4859, 1197, 17721, 31075, 3835, 159, 25688, 1125, 4428, 14249, 22501, 14842, 1175, 5110, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 116, 1299, 6113, 1197, 488, 125, 124, 11669, 2720, 1125, 4859, 1110, 1205, 1153, 1197, 17721, 183, 4413, 1768, 1299, 8446, 1188, 2801, 1317, 488, 124, 22703, 15521, 6867, 1378, 177, 1541, 10177, 15376, 22066, 179, 14249, 22501, 14842, 9924, 2134, 2424, 1125, 16745, 1214, 10068, 8640, 2335, 2424, 1125, 1106, 2719, 1128, 16499, 2254, 23859, 3484, 15787, 12622, 2134, 5927, 1125, 3260, 25632, 3965, 4010, 1167, 8572, 29345, 2134, 5927, 1283, 1119, 1182, 5952, 1214, 1338, 15673, 1167, 2134, 19377, 8503, 3589, 18857, 1460, 18922, 1313, 1170, 4859, 1197, 2680, 5493, 16958, 1259, 1955, 2965, 1234, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 4428, 14249, 22501, 14842, 1110, 10193, 1909, 14250, 1170, 488, 129, 2798, 488, 125, 123, 124, 125, 121, 1768, 1110, 1913, 9601, 1313, 1170, 4154, 2519, 14990, 1125, 1282, 5110, 4449, 1202, 6424, 1306, 30239, 1541, 1125, 2801, 1167, 1227, 13787, 19570, 1204, 1195, 1353, 121, 1548, 1663, 3031, 1125, 15356, 9024, 1207, 2882, 1125, 4859, 1197, 17721, 31075, 1357, 6096, 22645, 5943, 7556, 2011, 1835, 4428, 14249, 4553, 1210, 1109, 1167, 4428, 14249, 12313, 2439, 15970, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 3712, 14249, 22501, 14842, 1299, 14450, 180, 1738, 244, 1215, 1189, 1151, 1182, 5952, 2038, 120, 1568, 7180, 1793, 1167, 1189, 16745, 1354, 17666, 1354, 18726, 17792, 1227, 23392, 141, 1125, 4428, 14249, 22501, 14842, 30879, 7002, 21663, 1424, 18263, 23821, 15357, 3699, 21147, 8184, 1105, 1110, 16098, 1189, 12685, 1125, 488, 127, 488, 129, 129, 123, 1127, 125, 1313, 6640, 1508, 22020, 1234, 1207, 5673, 5422, 1207, 10339, 2027, 1167, 3712, 16164, 4521, 1357, 9924, 1125, 488, 124, 128, 1115, 1953, 7556, 2011, 1313, 488, 126, 16974, 25393, 1317, 2423, 1754, 5533, 1808, 15489, 1508, 6428, 1473, 1256, 1464, 10503, 1197, 6756, 2924, 11828, 1125, 1158, 1338, 15673, 1167, 1197, 9309, 16745, 1146, 1541, 12825, 3203, 16974, 1227, 23392, 141, 7039, 10314, 6416, 1187, 1167, 1125, 13176, 1207, 6756, 3702, 1158, 9427, 1348, 1125, 2770, 17721, 183, 1842, 8623, 2606, 6485, 488, 124, 1257, 9016, 488, 129, 15489, 1357, 10256, 1129, 1197, 6804, 17721, 183, 4413, 4466, 15489, 2004, 1913, 14164, 1813, 3702, 1170, 9316, 1227, 1606, 9569, 3440, 1261, 1313, 1158, 7957, 4821, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1338, 7180, 3392, 30281, 1234, 1167, 1858, 11244, 1313, 1158, 7957, 3317, 6485, 488, 125, 1257, 9016, 488, 127, 15489, 1256, 1197, 17721, 31075, 2924, 11828, 1125, 1158, 1338, 7180, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 3317, 6485, 488, 126, 1257, 9016, 488, 128, 15489, 9637, 1473, 1571, 6756, 2864, 12088, 8502, 1723, 2924, 11828, 18732, 1318, 22355, 1790, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 24890, 13779, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 3050, 14249, 1313, 1170, 488, 124, 123, 176, 28077, 1125, 2801, 32001, 1424, 32000, 20036, 2359, 6508, 1125, 4859, 1197, 17721, 31075, 3835, 159, 25688, 1125, 4428, 14249, 22501, 14842, 1175, 5110, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 116, 1299, 6113, 1197, 488, 125, 124, 11669, 2720, 1125, 4859, 1110, 1205, 1153, 1197, 17721, 183, 4413, 1768, 1299, 8446, 1188, 2801, 1317, 488, 124, 22703, 15521, 6867, 1378, 177, 1541, 10177, 15376, 22066, 179, 14249, 22501, 14842, 9924, 2134, 2424, 1125, 16745, 1214, 10068, 8640, 2335, 2424, 1125, 1106, 2719, 1128, 16499, 2254, 23859, 3484, 15787, 12622, 2134, 5927, 1125, 3260, 25632, 3965, 4010, 1167, 8572, 29345, 2134, 5927, 1283, 1119, 1182, 5952, 1214, 1338, 15673, 1167, 2134, 19377, 8503, 3589, 18857, 1460, 18922, 1313, 1170, 4859, 1197, 2680, 5493, 16958, 1259, 1955, 2965, 1234, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 4428, 14249, 22501, 14842, 1110, 10193, 1909, 14250, 1170, 488, 129, 2798, 488, 125, 123, 124, 125, 121, 1768, 1110, 1913, 9601, 1313, 1170, 4154, 2519, 14990, 1125, 1282, 5110, 4449, 1202, 6424, 1306, 30239, 1541, 1125, 2801, 1167, 1227, 13787, 19570, 1204, 1195, 1353, 121, 1548, 1663, 3031, 1125, 15356, 9024, 1207, 2882, 1125, 4859, 1197, 17721, 31075, 1357, 6096, 22645, 5943, 7556, 2011, 1835, 4428, 14249, 4553, 1210, 1109, 1167, 4428, 14249, 12313, 2439, 15970, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 3712, 14249, 22501, 14842, 1299, 14450, 180, 1738, 244, 1215, 1189, 1151, 1182, 5952, 2038, 120, 1568, 7180, 1793, 1167, 1189, 16745, 1354, 17666, 1354, 18726, 17792, 1227, 23392, 141, 1125, 4428, 14249, 22501, 14842, 30879, 7002, 21663, 1424, 18263, 23821, 15357, 3699, 21147, 8184, 1105, 1110, 16098, 1189, 12685, 1125, 488, 127, 488, 129, 129, 123, 1127, 125, 1313, 6640, 1508, 22020, 1234, 1207, 5673, 5422, 1207, 10339, 2027, 1167, 3712, 16164, 4521, 1357, 9924, 1125, 488, 124, 128, 1115, 1953, 7556, 2011, 1313, 488, 126, 16974, 25393, 1317, 2423, 1754, 5533, 1808, 15489, 1508, 6428, 1473, 1256, 1464, 10503, 1197, 6756, 2924, 11828, 1125, 1158, 1338, 15673, 1167, 1197, 9309, 16745, 1146, 1541, 12825, 3203, 16974, 1227, 23392, 141, 7039, 10314, 6416, 1187, 1167, 1125, 13176, 1207, 6756, 3702, 1158, 9427, 1348, 1125, 2770, 17721, 183, 1842, 8623, 2606, 6485, 488, 124, 1257, 9016, 488, 129, 15489, 1357, 10256, 1129, 1197, 6804, 17721, 183, 4413, 4466, 15489, 2004, 1913, 14164, 1813, 3702, 1170, 9316, 1227, 1606, 9569, 3440, 1261, 1313, 1158, 7957, 4821, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1338, 7180, 3392, 30281, 1234, 1167, 1858, 11244, 1313, 1158, 7957, 3317, 6485, 488, 125, 1257, 9016, 488, 127, 15489, 1256, 1197, 17721, 31075, 2924, 11828, 1125, 1158, 1338, 7180, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 3317, 6485, 488, 126, 1257, 9016, 488, 128, 15489, 9637, 1473, 1571, 6756, 2864, 12088, 8502, 1723, 2924, 11828, 18732, 1318, 22355, 1790, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 24890, 13779, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 3050, 14249, 1313, 1170, 488, 124, 123, 176, 28077, 1125, 2801, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 6508, 1125, 4859, 1197, 17721, 31075, 3835, 159, 25688, 1125, 4428, 14249, 22501, 14842, 1175, 5110, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 116, 1299, 6113, 1197, 488, 125, 124, 11669, 2720, 1125, 4859, 1110, 1205, 1153, 1197, 17721, 183, 4413, 1768, 1299, 8446, 1188, 2801, 1317, 488, 124, 22703, 15521, 6867, 1378, 177, 1541, 10177, 15376, 22066, 179, 14249, 22501, 14842, 9924, 2134, 2424, 1125, 16745, 1214, 10068, 8640, 2335, 2424, 1125, 1106, 2719, 1128, 16499, 2254, 23859, 3484, 15787, 12622, 2134, 5927, 1125, 3260, 25632, 3965, 4010, 1167, 8572, 29345, 2134, 5927, 1283, 1119, 1182, 5952, 1214, 1338, 15673, 1167, 2134, 19377, 8503, 3589, 18857, 1460, 18922, 1313, 1170, 4859, 1197, 2680, 5493, 16958, 1259, 1955, 2965, 1234, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 4428, 14249, 22501, 14842, 1110, 10193, 1909, 14250, 1170, 488, 129, 2798, 488, 125, 123, 124, 125, 121, 1768, 1110, 1913, 9601, 1313, 1170, 4154, 2519, 14990, 1125, 1282, 5110, 4449, 1202, 6424, 1306, 30239, 1541, 1125, 2801, 1167, 1227, 13787, 19570, 1204, 1195, 1353, 121, 1548, 1663, 3031, 1125, 15356, 9024, 1207, 2882, 1125, 4859, 1197, 17721, 31075, 1357, 6096, 22645, 5943, 7556, 2011, 1835, 4428, 14249, 4553, 1210, 1109, 1167, 4428, 14249, 12313, 2439, 15970, 8155, 6508, 1125, 3859, 3305, 1197, 3261, 261, 31075, 1125, 3712, 14249, 22501, 14842, 1299, 14450, 180, 1738, 244, 1215, 1189, 1151, 1182, 5952, 2038, 120, 1568, 7180, 1793, 1167, 1189, 16745, 1354, 17666, 1354, 18726, 17792, 1227, 23392, 141, 1125, 4428, 14249, 22501, 14842, 30879, 7002, 21663, 1424, 18263, 23821, 15357, 3699, 21147, 8184, 1105, 1110, 16098, 1189, 12685, 1125, 488, 127, 488, 129, 129, 123, 1127, 125, 1313, 6640, 1508, 22020, 1234, 1207, 5673, 5422, 1207, 10339, 2027, 1167, 3712, 16164, 4521, 1357, 9924, 1125, 488, 124, 128, 1115, 1953, 7556, 2011, 1313, 488, 126, 16974, 25393, 1317, 2423, 1754, 5533, 1808, 15489, 1508, 6428, 1473, 1256, 1464, 10503, 1197, 6756, 2924, 11828, 1125, 1158, 1338, 15673, 1167, 1197, 9309, 16745, 1146, 1541, 12825, 3203, 16974, 1227, 23392, 141, 7039, 10314, 6416, 1187, 1167, 1125, 13176, 1207, 6756, 3702, 1158, 9427, 1348, 1125, 2770, 17721, 183, 1842, 8623, 2606, 6485, 488, 124, 1257, 9016, 488, 129, 15489, 1357, 10256, 1129, 1197, 6804, 17721, 183, 4413, 4466, 15489, 2004, 1913, 14164, 1813, 3702, 1170, 9316, 1227, 1606, 9569, 3440, 1261, 1313, 1158, 7957, 4821, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1338, 7180, 3392, 30281, 1234, 1167, 1858, 11244, 1313, 1158, 7957, 3317, 6485, 488, 125, 1257, 9016, 488, 127, 15489, 1256, 1197, 17721, 31075, 2924, 11828, 1125, 1158, 1338, 7180, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 3317, 6485, 488, 126, 1257, 9016, 488, 128, 15489, 9637, 1473, 1571, 6756, 2864, 12088, 8502, 1723, 2924, 11828, 18732, 1318, 22355, 1790, 2392, 1808, 6756, 22355, 25696, 1313, 1440, 6485, 1508, 1858, 11244, 1313, 1197, 12316, 190, 1858, 1356, 8507, 9637, 1234, 24890, 13779, 4449, 5956, 1323, 1306, 30239, 1541, 1125, 2801, 3050, 14249, 1313, 1170, 488, 124, 123, 176, 28077, 1125, 2801, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12928, 10459, 4458, 2433, 14232, 1170, 488, 126, 2749, 488, 125, 123, 123, 124, 119, 1299, 1318, 2063, 1607, 1232, 1632, 1111, 10557, 3556, 25886, 4096, 12928, 10459, 4458, 180, 1299, 3320, 4586, 1303, 16834, 1186, 12185, 1278, 191, 1215, 10431, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 131, 1167, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 132, 121, 3450, 18764, 1158, 24722, 24019, 1186, 12185, 1278, 191, 1215, 10431, 1571, 10765, 14064, 1925, 1125, 488, 125, 123, 124, 132, 9994, 2624, 5825, 1424, 28912, 1126, 1278, 191, 10577, 1111, 10557, 3556, 4196, 1916, 1231, 1245, 5519, 9971, 23416, 1607, 1232, 8156, 1186, 2749, 488, 125, 123, 123, 124, 1489, 2466, 1125, 10544, 18596, 192, 32001, 1424, 32000, 20036, 1628, 10459, 4458, 2433, 14232, 1170, 488, 126, 2749, 488, 125, 123, 123, 124, 119, 1299, 1318, 2063, 1607, 1232, 1632, 1111, 10557, 3556, 25886, 4096, 12928, 10459, 4458, 180, 1299, 3320, 4586, 1303, 16834, 1186, 12185, 1278, 191, 1215, 10431, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 131, 1167, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 132, 121, 3450, 18764, 1158, 24722, 24019, 1186, 12185, 1278, 191, 1215, 10431, 1571, 10765, 14064, 1925, 1125, 488, 125, 123, 124, 132, 9994, 2624, 5825, 1424, 28912, 1126, 1278, 191, 10577, 1111, 10557, 3556, 4196, 1916, 1231, 1245, 5519, 9971, 23416, 1607, 1232, 8156, 1186, 2749, 488, 125, 123, 123, 124, 1489, 2466, 1125, 10544, 18596, 192, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1628, 10459, 4458, 2433, 14232, 1170, 488, 126, 2749, 488, 125, 123, 123, 124, 119, 1299, 1318, 2063, 1607, 1232, 1632, 1111, 10557, 3556, 25886, 4096, 12928, 10459, 4458, 180, 1299, 3320, 4586, 1303, 16834, 1186, 12185, 1278, 191, 1215, 10431, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 131, 1167, 1571, 4322, 19754, 5519, 9971, 488, 125, 123, 124, 132, 121, 3450, 18764, 1158, 24722, 24019, 1186, 12185, 1278, 191, 1215, 10431, 1571, 10765, 14064, 1925, 1125, 488, 125, 123, 124, 132, 9994, 2624, 5825, 1424, 28912, 1126, 1278, 191, 10577, 1111, 10557, 3556, 4196, 1916, 1231, 1245, 5519, 9971, 23416, 1607, 1232, 8156, 1186, 2749, 488, 125, 123, 123, 124, 1489, 2466, 1125, 10544, 18596, 192, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 6880, 2251, 1129, 1128, 6348, 183, 114, 1217, 1299, 1300, 8317, 1170, 488, 128, 2738, 488, 125, 123, 125, 125, 13625, 1515, 25243, 1317, 2077, 19399, 1110, 4795, 3601, 1188, 3985, 114, 14102, 1186, 23709, 119, 2391, 1227, 2574, 1125, 19640, 22746, 1304, 31620, 1175, 164, 1137, 12805, 29088, 1724, 1261, 1576, 17220, 3403, 2004, 1913, 3316, 1473, 1167, 5999, 2905, 2004, 1913, 9814, 1473, 10803, 5855, 28721, 2794, 1110, 27588, 1207, 13588, 1856, 6058, 2069, 6385, 10408, 2624, 1125, 488, 124, 132, 1167, 488, 125, 123, 5305, 1186, 1165, 1120, 181, 1404, 7778, 1388, 2272, 8934, 18805, 10031, 6175, 1199, 21859, 1129, 3683, 1197, 6385, 10408, 2624, 1167, 1197, 13913, 6482, 28721, 1462, 2004, 29974, 10575, 1318, 4726, 22704, 172, 1485, 19859, 17192, 1186, 23709, 119, 1158, 4927, 1158, 1408, 19859, 4096, 2757, 488, 125, 123, 123, 129, 121, 3559, 6360, 2567, 21859, 2558, 119, 2069, 15430, 1220, 1227, 9029, 1141, 1125, 14642, 1291, 2566, 2004, 1693, 1322, 3356, 1189, 9899, 1125, 3789, 1188, 15020, 7112, 11151, 1309, 1158, 3370, 1197, 19859, 11536, 1281, 18280, 1370, 1215, 1158, 5855, 28721, 21687, 25154, 6220, 17310, 194, 5567, 1170, 6513, 1227, 9029, 1141, 1188, 16854, 1810, 1110, 22933, 1189, 15506, 1721, 2585, 1527, 1110, 15319, 244, 1207, 13913, 6482, 6385, 10408, 2624, 1167, 28721, 1462, 1188, 1235, 15629, 2962, 1207, 20373, 15279, 119, 2934, 5767, 1189, 18912, 6152, 1189, 23566, 9927, 1362, 1189, 2077, 19399, 109, 2714, 1207, 28721, 1462, 1388, 5335, 1129, 1128, 18805, 1693, 4586, 1701, 1508, 6663, 1234, 1313, 1158, 5820, 2460, 183, 13642, 1209, 16428, 1293, 9046, 2966, 1188, 488, 124, 132, 5879, 1127, 10557, 1125, 1166, 13610, 1167, 2335, 23566, 1731, 2771, 4651, 2004, 26266, 1189, 9899, 1125, 22834, 1357, 1110, 8314, 244, 1125, 1964, 19775, 4615, 3794, 1723, 1110, 1913, 1693, 1322, 3356, 1215, 5924, 1996, 1125, 2658, 19539, 18424, 4651, 1508, 6349, 6663, 1234, 1317, 4742, 8677, 8918, 1109, 6348, 183, 114, 14102, 1357, 3031, 7331, 1125, 10428, 29511, 24925, 1107, 1170, 488, 130, 127, 176, 2574, 1125, 19640, 22746, 1304, 31620, 119, 1167, 2004, 13551, 1188, 1207, 23571, 1659, 3316, 1199, 2069, 2905, 3403, 1167, 1186, 9814, 1199, 5999, 2905, 31265, 1250, 1197, 15670, 3316, 1473, 6096, 1313, 1158, 31864, 8012, 11781, 1309, 1158, 8483, 17753, 3031, 1189, 5598, 1125, 488, 126, 128, 8793, 1814, 5598, 1125, 488, 129, 123, 2165, 1167, 1189, 5598, 1125, 488, 126, 128, 2165, 2004, 1913, 17895, 19824, 9814, 4413, 17820, 2251, 1199, 1207, 1693, 4586, 4886, 1189, 5598, 1125, 488, 127, 123, 2165, 1110, 1913, 20319, 9814, 244, 1167, 1189, 5598, 1125, 488, 125, 126, 2165, 20319, 9814, 244, 7552, 22346, 18805, 2069, 13588, 2004, 1913, 3822, 8062, 1215, 1158, 5855, 28721, 2794, 1856, 6058, 3187, 114, 1217, 2068, 1154, 7602, 114, 9836, 1175, 125, 123, 2165, 116, 1167, 18543, 8445, 2460, 4520, 1187, 1175, 124, 132, 2165, 1496, 3425, 1690, 1125, 1248, 1255, 1712, 12472, 5639, 1125, 1321, 1538, 1314, 1186, 1165, 1120, 181, 1404, 7778, 1388, 8044, 5649, 10791, 9029, 1141, 1110, 2264, 6452, 21859, 2558, 119, 1158, 1275, 1607, 7662, 1856, 1318, 6400, 1315, 1336, 1256, 1207, 12948, 26234, 13098, 1188, 1158, 18334, 9422, 2068, 4379, 188, 190, 1810, 1723, 21234, 1110, 1382, 19438, 9857, 1158, 8306, 121, 1548, 1321, 7304, 1217, 19964, 1460, 6385, 10408, 1354, 1110, 2445, 26192, 1348, 21859, 2558, 1125, 2077, 19399, 8155, 4637, 1125, 17902, 1125, 22224, 3603, 13548, 184, 2759, 3991, 173, 4277, 1110, 12683, 1309, 1235, 1126, 27243, 1373, 1125, 6385, 10408, 2624, 1167, 1304, 1120, 1154, 3567, 1462, 1288, 1844, 1980, 1193, 1800, 1263, 1158, 4356, 1188, 1189, 3013, 2585, 1646, 4771, 1121, 1376, 2183, 1125, 23350, 1188, 1158, 26415, 1167, 1304, 30321, 12598, 3910, 2240, 109, 1388, 4479, 6385, 10408, 2624, 1125, 14642, 1291, 2566, 119, 1125, 1198, 28445, 1532, 5862, 1125, 1158, 3837, 1125, 16854, 172, 1167, 1125, 10335, 1119, 1671, 1353, 1467, 2004, 15483, 173, 1568, 21859, 2558, 1186, 5858, 1199, 1197, 3040, 173, 1376, 1571, 1931, 5996, 3559, 6327, 12708, 1199, 1170, 27243, 1373, 1125, 1893, 6614, 1188, 17137, 1125, 1166, 2291, 1110, 7855, 244, 1300, 1318, 13168, 5726, 1603, 2039, 1460, 6385, 10408, 3556, 8155, 14698, 23982, 8403, 12487, 196, 2893, 1804, 1108, 1110, 12683, 2391, 2335, 2151, 1125, 8146, 13922, 1309, 1207, 9864, 5145, 1414, 1174, 185, 2457, 1469, 4694, 179, 2035, 1419, 8208, 1282, 2705, 13740, 25348, 1128, 14226, 1197, 6626, 1167, 1197, 5247, 23280, 1610, 109, 11488, 1167, 5474, 2093, 152, 1558, 488, 125, 123, 125, 125, 106, 125, 123, 125, 125, 1186, 23709, 1853, 4008, 2923, 1186, 488, 125, 123, 125, 125, 1530, 1824, 1129, 1128, 1186, 23709, 114, 32001, 1424, 32000, 20036, 24623, 6880, 2251, 1129, 1128, 6348, 183, 114, 1217, 1299, 1300, 8317, 1170, 488, 128, 2738, 488, 125, 123, 125, 125, 13625, 1515, 25243, 1317, 2077, 19399, 1110, 4795, 3601, 1188, 3985, 114, 14102, 1186, 23709, 119, 2391, 1227, 2574, 1125, 19640, 22746, 1304, 31620, 1175, 164, 1137, 12805, 29088, 1724, 1261, 1576, 17220, 3403, 2004, 1913, 3316, 1473, 1167, 5999, 2905, 2004, 1913, 9814, 1473, 10803, 5855, 28721, 2794, 1110, 27588, 1207, 13588, 1856, 6058, 2069, 6385, 10408, 2624, 1125, 488, 124, 132, 1167, 488, 125, 123, 5305, 1186, 1165, 1120, 181, 1404, 7778, 1388, 2272, 8934, 18805, 10031, 6175, 1199, 21859, 1129, 3683, 1197, 6385, 10408, 2624, 1167, 1197, 13913, 6482, 28721, 1462, 2004, 29974, 10575, 1318, 4726, 22704, 172, 1485, 19859, 17192, 1186, 23709, 119, 1158, 4927, 1158, 1408, 19859, 4096, 2757, 488, 125, 123, 123, 129, 121, 3559, 6360, 2567, 21859, 2558, 119, 2069, 15430, 1220, 1227, 9029, 1141, 1125, 14642, 1291, 2566, 2004, 1693, 1322, 3356, 1189, 9899, 1125, 3789, 1188, 15020, 7112, 11151, 1309, 1158, 3370, 1197, 19859, 11536, 1281, 18280, 1370, 1215, 1158, 5855, 28721, 21687, 25154, 6220, 17310, 194, 5567, 1170, 6513, 1227, 9029, 1141, 1188, 16854, 1810, 1110, 22933, 1189, 15506, 1721, 2585, 1527, 1110, 15319, 244, 1207, 13913, 6482, 6385, 10408, 2624, 1167, 28721, 1462, 1188, 1235, 15629, 2962, 1207, 20373, 15279, 119, 2934, 5767, 1189, 18912, 6152, 1189, 23566, 9927, 1362, 1189, 2077, 19399, 109, 2714, 1207, 28721, 1462, 1388, 5335, 1129, 1128, 18805, 1693, 4586, 1701, 1508, 6663, 1234, 1313, 1158, 5820, 2460, 183, 13642, 1209, 16428, 1293, 9046, 2966, 1188, 488, 124, 132, 5879, 1127, 10557, 1125, 1166, 13610, 1167, 2335, 23566, 1731, 2771, 4651, 2004, 26266, 1189, 9899, 1125, 22834, 1357, 1110, 8314, 244, 1125, 1964, 19775, 4615, 3794, 1723, 1110, 1913, 1693, 1322, 3356, 1215, 5924, 1996, 1125, 2658, 19539, 18424, 4651, 1508, 6349, 6663, 1234, 1317, 4742, 8677, 8918, 1109, 6348, 183, 114, 14102, 1357, 3031, 7331, 1125, 10428, 29511, 24925, 1107, 1170, 488, 130, 127, 176, 2574, 1125, 19640, 22746, 1304, 31620, 119, 1167, 2004, 13551, 1188, 1207, 23571, 1659, 3316, 1199, 2069, 2905, 3403, 1167, 1186, 9814, 1199, 5999, 2905, 31265, 1250, 1197, 15670, 3316, 1473, 6096, 1313, 1158, 31864, 8012, 11781, 1309, 1158, 8483, 17753, 3031, 1189, 5598, 1125, 488, 126, 128, 8793, 1814, 5598, 1125, 488, 129, 123, 2165, 1167, 1189, 5598, 1125, 488, 126, 128, 2165, 2004, 1913, 17895, 19824, 9814, 4413, 17820, 2251, 1199, 1207, 1693, 4586, 4886, 1189, 5598, 1125, 488, 127, 123, 2165, 1110, 1913, 20319, 9814, 244, 1167, 1189, 5598, 1125, 488, 125, 126, 2165, 20319, 9814, 244, 7552, 22346, 18805, 2069, 13588, 2004, 1913, 3822, 8062, 1215, 1158, 5855, 28721, 2794, 1856, 6058, 3187, 114, 1217, 2068, 1154, 7602, 114, 9836, 1175, 125, 123, 2165, 116, 1167, 18543, 8445, 2460, 4520, 1187, 1175, 124, 132, 2165, 1496, 3425, 1690, 1125, 1248, 1255, 1712, 12472, 5639, 1125, 1321, 1538, 1314, 1186, 1165, 1120, 181, 1404, 7778, 1388, 8044, 5649, 10791, 9029, 1141, 1110, 2264, 6452, 21859, 2558, 119, 1158, 1275, 1607, 7662, 1856, 1318, 6400, 1315, 1336, 1256, 1207, 12948, 26234, 13098, 1188, 1158, 18334, 9422, 2068, 4379, 188, 190, 1810, 1723, 21234, 1110, 1382, 19438, 9857, 1158, 8306, 121, 1548, 1321, 7304, 1217, 19964, 1460, 6385, 10408, 1354, 1110, 2445, 26192, 1348, 21859, 2558, 1125, 2077, 19399, 8155, 4637, 1125, 17902, 1125, 22224, 3603, 13548, 184, 2759, 3991, 173, 4277, 1110, 12683, 1309, 1235, 1126, 27243, 1373, 1125, 6385, 10408, 2624, 1167, 1304, 1120, 1154, 3567, 1462, 1288, 1844, 1980, 1193, 1800, 1263, 1158, 4356, 1188, 1189, 3013, 2585, 1646, 4771, 1121, 1376, 2183, 1125, 23350, 1188, 1158, 26415, 1167, 1304, 30321, 12598, 3910, 2240, 109, 1388, 4479, 6385, 10408, 2624, 1125, 14642, 1291, 2566, 119, 1125, 1198, 28445, 1532, 5862, 1125, 1158, 3837, 1125, 16854, 172, 1167, 1125, 10335, 1119, 1671, 1353, 1467, 2004, 15483, 173, 1568, 21859, 2558, 1186, 5858, 1199, 1197, 3040, 173, 1376, 1571, 1931, 5996, 3559, 6327, 12708, 1199, 1170, 27243, 1373, 1125, 1893, 6614, 1188, 17137, 1125, 1166, 2291, 1110, 7855, 244, 1300, 1318, 13168, 5726, 1603, 2039, 1460, 6385, 10408, 3556, 8155, 14698, 23982, 8403, 12487, 196, 2893, 1804, 1108, 1110, 12683, 2391, 2335, 2151, 1125, 8146, 13922, 1309, 1207, 9864, 5145, 1414, 1174, 185, 2457, 1469, 4694, 179, 2035, 1419, 8208, 1282, 2705, 13740, 25348, 1128, 14226, 1197, 6626, 1167, 1197, 5247, 23280, 1610, 109, 11488, 1167, 5474, 2093, 152, 1558, 488, 125, 123, 125, 125, 106, 125, 123, 125, 125, 1186, 23709, 1853, 4008, 2923, 1186, 488, 125, 123, 125, 125, 1530, 1824, 1129, 1128, 1186, 23709, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 6880, 2251, 1129, 1128, 6348, 183, 114, 1217, 1299, 1300, 8317, 1170, 488, 128, 2738, 488, 125, 123, 125, 125, 13625, 1515, 25243, 1317, 2077, 19399, 1110, 4795, 3601, 1188, 3985, 114, 14102, 1186, 23709, 119, 2391, 1227, 2574, 1125, 19640, 22746, 1304, 31620, 1175, 164, 1137, 12805, 29088, 1724, 1261, 1576, 17220, 3403, 2004, 1913, 3316, 1473, 1167, 5999, 2905, 2004, 1913, 9814, 1473, 10803, 5855, 28721, 2794, 1110, 27588, 1207, 13588, 1856, 6058, 2069, 6385, 10408, 2624, 1125, 488, 124, 132, 1167, 488, 125, 123, 5305, 1186, 1165, 1120, 181, 1404, 7778, 1388, 2272, 8934, 18805, 10031, 6175, 1199, 21859, 1129, 3683, 1197, 6385, 10408, 2624, 1167, 1197, 13913, 6482, 28721, 1462, 2004, 29974, 10575, 1318, 4726, 22704, 172, 1485, 19859, 17192, 1186, 23709, 119, 1158, 4927, 1158, 1408, 19859, 4096, 2757, 488, 125, 123, 123, 129, 121, 3559, 6360, 2567, 21859, 2558, 119, 2069, 15430, 1220, 1227, 9029, 1141, 1125, 14642, 1291, 2566, 2004, 1693, 1322, 3356, 1189, 9899, 1125, 3789, 1188, 15020, 7112, 11151, 1309, 1158, 3370, 1197, 19859, 11536, 1281, 18280, 1370, 1215, 1158, 5855, 28721, 21687, 25154, 6220, 17310, 194, 5567, 1170, 6513, 1227, 9029, 1141, 1188, 16854, 1810, 1110, 22933, 1189, 15506, 1721, 2585, 1527, 1110, 15319, 244, 1207, 13913, 6482, 6385, 10408, 2624, 1167, 28721, 1462, 1188, 1235, 15629, 2962, 1207, 20373, 15279, 119, 2934, 5767, 1189, 18912, 6152, 1189, 23566, 9927, 1362, 1189, 2077, 19399, 109, 2714, 1207, 28721, 1462, 1388, 5335, 1129, 1128, 18805, 1693, 4586, 1701, 1508, 6663, 1234, 1313, 1158, 5820, 2460, 183, 13642, 1209, 16428, 1293, 9046, 2966, 1188, 488, 124, 132, 5879, 1127, 10557, 1125, 1166, 13610, 1167, 2335, 23566, 1731, 2771, 4651, 2004, 26266, 1189, 9899, 1125, 22834, 1357, 1110, 8314, 244, 1125, 1964, 19775, 4615, 3794, 1723, 1110, 1913, 1693, 1322, 3356, 1215, 5924, 1996, 1125, 2658, 19539, 18424, 4651, 1508, 6349, 6663, 1234, 1317, 4742, 8677, 8918, 1109, 6348, 183, 114, 14102, 1357, 3031, 7331, 1125, 10428, 29511, 24925, 1107, 1170, 488, 130, 127, 176, 2574, 1125, 19640, 22746, 1304, 31620, 119, 1167, 2004, 13551, 1188, 1207, 23571, 1659, 3316, 1199, 2069, 2905, 3403, 1167, 1186, 9814, 1199, 5999, 2905, 31265, 1250, 1197, 15670, 3316, 1473, 6096, 1313, 1158, 31864, 8012, 11781, 1309, 1158, 8483, 17753, 3031, 1189, 5598, 1125, 488, 126, 128, 8793, 1814, 5598, 1125, 488, 129, 123, 2165, 1167, 1189, 5598, 1125, 488, 126, 128, 2165, 2004, 1913, 17895, 19824, 9814, 4413, 17820, 2251, 1199, 1207, 1693, 4586, 4886, 1189, 5598, 1125, 488, 127, 123, 2165, 1110, 1913, 20319, 9814, 244, 1167, 1189, 5598, 1125, 488, 125, 126, 2165, 20319, 9814, 244, 7552, 22346, 18805, 2069, 13588, 2004, 1913, 3822, 8062, 1215, 1158, 5855, 28721, 2794, 1856, 6058, 3187, 114, 1217, 2068, 1154, 7602, 114, 9836, 1175, 125, 123, 2165, 116, 1167, 18543, 8445, 2460, 4520, 1187, 1175, 124, 132, 2165, 1496, 3425, 1690, 1125, 1248, 1255, 1712, 12472, 5639, 1125, 1321, 1538, 1314, 1186, 1165, 1120, 181, 1404, 7778, 1388, 8044, 5649, 10791, 9029, 1141, 1110, 2264, 6452, 21859, 2558, 119, 1158, 1275, 1607, 7662, 1856, 1318, 6400, 1315, 1336, 1256, 1207, 12948, 26234, 13098, 1188, 1158, 18334, 9422, 2068, 4379, 188, 190, 1810, 1723, 21234, 1110, 1382, 19438, 9857, 1158, 8306, 121, 1548, 1321, 7304, 1217, 19964, 1460, 6385, 10408, 1354, 1110, 2445, 26192, 1348, 21859, 2558, 1125, 2077, 19399, 8155, 4637, 1125, 17902, 1125, 22224, 3603, 13548, 184, 2759, 3991, 173, 4277, 1110, 12683, 1309, 1235, 1126, 27243, 1373, 1125, 6385, 10408, 2624, 1167, 1304, 1120, 1154, 3567, 1462, 1288, 1844, 1980, 1193, 1800, 1263, 1158, 4356, 1188, 1189, 3013, 2585, 1646, 4771, 1121, 1376, 2183, 1125, 23350, 1188, 1158, 26415, 1167, 1304, 30321, 12598, 3910, 2240, 109, 1388, 4479, 6385, 10408, 2624, 1125, 14642, 1291, 2566, 119, 1125, 1198, 28445, 1532, 5862, 1125, 1158, 3837, 1125, 16854, 172, 1167, 1125, 10335, 1119, 1671, 1353, 1467, 2004, 15483, 173, 1568, 21859, 2558, 1186, 5858, 1199, 1197, 3040, 173, 1376, 1571, 1931, 5996, 3559, 6327, 12708, 1199, 1170, 27243, 1373, 1125, 1893, 6614, 1188, 17137, 1125, 1166, 2291, 1110, 7855, 244, 1300, 1318, 13168, 5726, 1603, 2039, 1460, 6385, 10408, 3556, 8155, 14698, 23982, 8403, 12487, 196, 2893, 1804, 1108, 1110, 12683, 2391, 2335, 2151, 1125, 8146, 13922, 1309, 1207, 9864, 5145, 1414, 1174, 185, 2457, 1469, 4694, 179, 2035, 1419, 8208, 1282, 2705, 13740, 25348, 1128, 14226, 1197, 6626, 1167, 1197, 5247, 23280, 1610, 109, 11488, 1167, 5474, 2093, 152, 1558, 488, 125, 123, 125, 125, 106, 125, 123, 125, 125, 1186, 23709, 1853, 4008, 2923, 1186, 488, 125, 123, 125, 125, 1530, 1824, 1129, 1128, 1186, 23709, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 18965, 1105, 29483, 1299, 1189, 12184, 7669, 1460, 2821, 2643, 1691, 3589, 11900, 2973, 1655, 1244, 5514, 4160, 1215, 1158, 1131, 11016, 18965, 1105, 1188, 3862, 1125, 488, 124, 132, 130, 132, 7328, 3997, 488, 124, 132, 131, 127, 121, 6053, 1158, 5401, 1125, 18965, 1105, 1317, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 121, 6053, 1158, 3453, 3000, 25422, 1125, 18965, 1105, 1313, 1170, 7042, 1256, 23303, 1996, 6525, 1145, 3502, 1768, 1288, 5265, 1309, 1170, 4334, 20522, 1188, 1282, 462, 5965, 1227, 2172, 12256, 3074, 4048, 1318, 9824, 1233, 1167, 1318, 12029, 1125, 488, 124, 122, 132, 123, 1357, 11834, 2076, 2130, 21551, 121, 1768, 1110, 1913, 20304, 1215, 1170, 488, 128, 123, 8680, 488, 124, 122, 124, 121, 131, 13690, 1254, 1357, 1299, 1318, 4726, 7568, 1188, 1158, 4971, 9636, 27379, 20481, 1424, 13766, 2594, 1107, 1170, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 119, 18965, 1105, 1110, 6403, 244, 1440, 7042, 7568, 2487, 1282, 11241, 2598, 1232, 1188, 20522, 29440, 1299, 4403, 1160, 1408, 5124, 1188, 7650, 1167, 2864, 19320, 1250, 1309, 1158, 20522, 1188, 1158, 12029, 1125, 6389, 144, 120, 124, 12498, 1124, 21198, 1424, 8180, 2643, 1691, 3589, 11900, 488, 126, 128, 8680, 1188, 17507, 8554, 8618, 10334, 1348, 24204, 4095, 4919, 1384, 1599, 1469, 1207, 10904, 1186, 4304, 1278, 13314, 4032, 1407, 1793, 2678, 1131, 5301, 1188, 14406, 1541, 13596, 31550, 2968, 1142, 1701, 23817, 1984, 6243, 244, 9894, 1160, 1167, 15941, 1207, 5562, 11393, 1125, 488, 124, 9640, 1188, 488, 124, 122, 124, 123, 123, 123, 121, 1643, 4946, 1125, 9537, 1198, 31387, 1299, 19022, 1469, 1318, 17656, 1414, 18256, 2630, 1154, 6204, 29619, 1562, 14307, 1299, 13156, 1120, 1364, 4855, 1317, 1144, 11399, 18965, 1105, 23950, 7480, 8501, 1318, 2768, 1152, 1470, 244, 2290, 1158, 3405, 1378, 5714, 2069, 5521, 1215, 9640, 1388, 26388, 10753, 3606, 2093, 2576, 3244, 7988, 2183, 1207, 10904, 1186, 2383, 1278, 1252, 1186, 2077, 1291, 1272, 15685, 1723, 4345, 13713, 10904, 14255, 1382, 1170, 1111, 1630, 1105, 1950, 1199, 1170, 2612, 1477, 1107, 1125, 30293, 5146, 1125, 1282, 11900, 1155, 1808, 16574, 1104, 24165, 29252, 1125, 19144, 1618, 9124, 1158, 12029, 1125, 18169, 28282, 7155, 1207, 16574, 1104, 18965, 1105, 1173, 141, 7480, 1167, 1173, 141, 120, 124, 123, 8823, 14307, 2306, 174, 1890, 13226, 1300, 1158, 12029, 1125, 3633, 1210, 1150, 4796, 1309, 1170, 16574, 1299, 10502, 1155, 1548, 1144, 11399, 18965, 1105, 23950, 7480, 9323, 1167, 16828, 5825, 2093, 3652, 14307, 7669, 1460, 2973, 1655, 1244, 29483, 32001, 1424, 32000, 20036, 2359, 18965, 1105, 29483, 1299, 1189, 12184, 7669, 1460, 2821, 2643, 1691, 3589, 11900, 2973, 1655, 1244, 5514, 4160, 1215, 1158, 1131, 11016, 18965, 1105, 1188, 3862, 1125, 488, 124, 132, 130, 132, 7328, 3997, 488, 124, 132, 131, 127, 121, 6053, 1158, 5401, 1125, 18965, 1105, 1317, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 121, 6053, 1158, 3453, 3000, 25422, 1125, 18965, 1105, 1313, 1170, 7042, 1256, 23303, 1996, 6525, 1145, 3502, 1768, 1288, 5265, 1309, 1170, 4334, 20522, 1188, 1282, 462, 5965, 1227, 2172, 12256, 3074, 4048, 1318, 9824, 1233, 1167, 1318, 12029, 1125, 488, 124, 122, 132, 123, 1357, 11834, 2076, 2130, 21551, 121, 1768, 1110, 1913, 20304, 1215, 1170, 488, 128, 123, 8680, 488, 124, 122, 124, 121, 131, 13690, 1254, 1357, 1299, 1318, 4726, 7568, 1188, 1158, 4971, 9636, 27379, 20481, 1424, 13766, 2594, 1107, 1170, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 119, 18965, 1105, 1110, 6403, 244, 1440, 7042, 7568, 2487, 1282, 11241, 2598, 1232, 1188, 20522, 29440, 1299, 4403, 1160, 1408, 5124, 1188, 7650, 1167, 2864, 19320, 1250, 1309, 1158, 20522, 1188, 1158, 12029, 1125, 6389, 144, 120, 124, 12498, 1124, 21198, 1424, 8180, 2643, 1691, 3589, 11900, 488, 126, 128, 8680, 1188, 17507, 8554, 8618, 10334, 1348, 24204, 4095, 4919, 1384, 1599, 1469, 1207, 10904, 1186, 4304, 1278, 13314, 4032, 1407, 1793, 2678, 1131, 5301, 1188, 14406, 1541, 13596, 31550, 2968, 1142, 1701, 23817, 1984, 6243, 244, 9894, 1160, 1167, 15941, 1207, 5562, 11393, 1125, 488, 124, 9640, 1188, 488, 124, 122, 124, 123, 123, 123, 121, 1643, 4946, 1125, 9537, 1198, 31387, 1299, 19022, 1469, 1318, 17656, 1414, 18256, 2630, 1154, 6204, 29619, 1562, 14307, 1299, 13156, 1120, 1364, 4855, 1317, 1144, 11399, 18965, 1105, 23950, 7480, 8501, 1318, 2768, 1152, 1470, 244, 2290, 1158, 3405, 1378, 5714, 2069, 5521, 1215, 9640, 1388, 26388, 10753, 3606, 2093, 2576, 3244, 7988, 2183, 1207, 10904, 1186, 2383, 1278, 1252, 1186, 2077, 1291, 1272, 15685, 1723, 4345, 13713, 10904, 14255, 1382, 1170, 1111, 1630, 1105, 1950, 1199, 1170, 2612, 1477, 1107, 1125, 30293, 5146, 1125, 1282, 11900, 1155, 1808, 16574, 1104, 24165, 29252, 1125, 19144, 1618, 9124, 1158, 12029, 1125, 18169, 28282, 7155, 1207, 16574, 1104, 18965, 1105, 1173, 141, 7480, 1167, 1173, 141, 120, 124, 123, 8823, 14307, 2306, 174, 1890, 13226, 1300, 1158, 12029, 1125, 3633, 1210, 1150, 4796, 1309, 1170, 16574, 1299, 10502, 1155, 1548, 1144, 11399, 18965, 1105, 23950, 7480, 9323, 1167, 16828, 5825, 2093, 3652, 14307, 7669, 1460, 2973, 1655, 1244, 29483, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 18965, 1105, 29483, 1299, 1189, 12184, 7669, 1460, 2821, 2643, 1691, 3589, 11900, 2973, 1655, 1244, 5514, 4160, 1215, 1158, 1131, 11016, 18965, 1105, 1188, 3862, 1125, 488, 124, 132, 130, 132, 7328, 3997, 488, 124, 132, 131, 127, 121, 6053, 1158, 5401, 1125, 18965, 1105, 1317, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 121, 6053, 1158, 3453, 3000, 25422, 1125, 18965, 1105, 1313, 1170, 7042, 1256, 23303, 1996, 6525, 1145, 3502, 1768, 1288, 5265, 1309, 1170, 4334, 20522, 1188, 1282, 462, 5965, 1227, 2172, 12256, 3074, 4048, 1318, 9824, 1233, 1167, 1318, 12029, 1125, 488, 124, 122, 132, 123, 1357, 11834, 2076, 2130, 21551, 121, 1768, 1110, 1913, 20304, 1215, 1170, 488, 128, 123, 8680, 488, 124, 122, 124, 121, 131, 13690, 1254, 1357, 1299, 1318, 4726, 7568, 1188, 1158, 4971, 9636, 27379, 20481, 1424, 13766, 2594, 1107, 1170, 9672, 1227, 3288, 1105, 1192, 144, 120, 124, 119, 18965, 1105, 1110, 6403, 244, 1440, 7042, 7568, 2487, 1282, 11241, 2598, 1232, 1188, 20522, 29440, 1299, 4403, 1160, 1408, 5124, 1188, 7650, 1167, 2864, 19320, 1250, 1309, 1158, 20522, 1188, 1158, 12029, 1125, 6389, 144, 120, 124, 12498, 1124, 21198, 1424, 8180, 2643, 1691, 3589, 11900, 488, 126, 128, 8680, 1188, 17507, 8554, 8618, 10334, 1348, 24204, 4095, 4919, 1384, 1599, 1469, 1207, 10904, 1186, 4304, 1278, 13314, 4032, 1407, 1793, 2678, 1131, 5301, 1188, 14406, 1541, 13596, 31550, 2968, 1142, 1701, 23817, 1984, 6243, 244, 9894, 1160, 1167, 15941, 1207, 5562, 11393, 1125, 488, 124, 9640, 1188, 488, 124, 122, 124, 123, 123, 123, 121, 1643, 4946, 1125, 9537, 1198, 31387, 1299, 19022, 1469, 1318, 17656, 1414, 18256, 2630, 1154, 6204, 29619, 1562, 14307, 1299, 13156, 1120, 1364, 4855, 1317, 1144, 11399, 18965, 1105, 23950, 7480, 8501, 1318, 2768, 1152, 1470, 244, 2290, 1158, 3405, 1378, 5714, 2069, 5521, 1215, 9640, 1388, 26388, 10753, 3606, 2093, 2576, 3244, 7988, 2183, 1207, 10904, 1186, 2383, 1278, 1252, 1186, 2077, 1291, 1272, 15685, 1723, 4345, 13713, 10904, 14255, 1382, 1170, 1111, 1630, 1105, 1950, 1199, 1170, 2612, 1477, 1107, 1125, 30293, 5146, 1125, 1282, 11900, 1155, 1808, 16574, 1104, 24165, 29252, 1125, 19144, 1618, 9124, 1158, 12029, 1125, 18169, 28282, 7155, 1207, 16574, 1104, 18965, 1105, 1173, 141, 7480, 1167, 1173, 141, 120, 124, 123, 8823, 14307, 2306, 174, 1890, 13226, 1300, 1158, 12029, 1125, 3633, 1210, 1150, 4796, 1309, 1170, 16574, 1299, 10502, 1155, 1548, 1144, 11399, 18965, 1105, 23950, 7480, 9323, 1167, 16828, 5825, 2093, 3652, 14307, 7669, 1460, 2973, 1655, 1244, 29483, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 141, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 2032, 1902, 10019, 1317, 20449, 13469, 1125, 1158, 16271, 16939, 193, 17433, 18920, 1125, 1518, 1121, 2086, 1313, 1158, 17487, 1227, 1233, 2564, 2241, 1643, 2032, 1902, 1125, 15689, 1190, 1118, 12504, 26311, 1299, 1189, 6513, 2992, 2466, 1125, 4813, 9663, 1121, 1190, 1118, 13266, 26311, 1299, 17350, 1125, 5999, 3447, 1837, 1257, 7219, 1221, 1149, 29356, 1643, 1165, 4355, 1405, 11169, 1167, 1233, 1258, 30701, 7219, 1221, 1149, 1756, 1299, 1158, 1408, 4327, 14662, 3557, 2399, 1357, 1110, 7798, 10544, 1188, 1158, 1116, 6957, 6053, 1469, 1282, 31328, 1162, 1125, 1158, 3385, 1125, 4052, 1167, 1125, 11523, 1125, 1158, 1526, 1245, 1188, 19091, 1173, 4619, 1592, 10426, 1825, 22282, 17277, 1173, 10426, 3472, 10927, 5410, 1496, 1188, 24385, 19185, 1125, 7219, 1221, 1149, 29356, 1309, 1158, 18714, 2985, 16233, 1215, 1207, 20088, 1125, 1158, 3385, 1256, 2341, 1107, 1909, 3845, 4413, 15689, 1190, 1118, 2985, 6349, 16233, 1215, 19633, 1167, 16959, 2610, 7358, 1122, 3378, 1188, 11793, 1125, 1158, 1165, 4355, 1215, 1197, 15544, 6400, 1813, 5610, 20022, 1125, 1158, 3734, 1188, 1158, 3370, 1304, 30871, 121, 2093, 141, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 6018, 4813, 1357, 1110, 18640, 1186, 488, 125, 123, 124, 125, 1594, 3151, 16487, 1388, 2439, 174, 3556, 4813, 1186, 16271, 16939, 24740, 32001, 1424, 32000, 20036, 2056, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 2032, 1902, 10019, 1317, 20449, 13469, 1125, 1158, 16271, 16939, 193, 17433, 18920, 1125, 1518, 1121, 2086, 1313, 1158, 17487, 1227, 1233, 2564, 2241, 1643, 2032, 1902, 1125, 15689, 1190, 1118, 12504, 26311, 1299, 1189, 6513, 2992, 2466, 1125, 4813, 9663, 1121, 1190, 1118, 13266, 26311, 1299, 17350, 1125, 5999, 3447, 1837, 1257, 7219, 1221, 1149, 29356, 1643, 1165, 4355, 1405, 11169, 1167, 1233, 1258, 30701, 7219, 1221, 1149, 1756, 1299, 1158, 1408, 4327, 14662, 3557, 2399, 1357, 1110, 7798, 10544, 1188, 1158, 1116, 6957, 6053, 1469, 1282, 31328, 1162, 1125, 1158, 3385, 1125, 4052, 1167, 1125, 11523, 1125, 1158, 1526, 1245, 1188, 19091, 1173, 4619, 1592, 10426, 1825, 22282, 17277, 1173, 10426, 3472, 10927, 5410, 1496, 1188, 24385, 19185, 1125, 7219, 1221, 1149, 29356, 1309, 1158, 18714, 2985, 16233, 1215, 1207, 20088, 1125, 1158, 3385, 1256, 2341, 1107, 1909, 3845, 4413, 15689, 1190, 1118, 2985, 6349, 16233, 1215, 19633, 1167, 16959, 2610, 7358, 1122, 3378, 1188, 11793, 1125, 1158, 1165, 4355, 1215, 1197, 15544, 6400, 1813, 5610, 20022, 1125, 1158, 3734, 1188, 1158, 3370, 1304, 30871, 121, 2093, 141, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 6018, 4813, 1357, 1110, 18640, 1186, 488, 125, 123, 124, 125, 1594, 3151, 16487, 1388, 2439, 174, 3556, 4813, 1186, 16271, 16939, 24740, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2056, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 2032, 1902, 10019, 1317, 20449, 13469, 1125, 1158, 16271, 16939, 193, 17433, 18920, 1125, 1518, 1121, 2086, 1313, 1158, 17487, 1227, 1233, 2564, 2241, 1643, 2032, 1902, 1125, 15689, 1190, 1118, 12504, 26311, 1299, 1189, 6513, 2992, 2466, 1125, 4813, 9663, 1121, 1190, 1118, 13266, 26311, 1299, 17350, 1125, 5999, 3447, 1837, 1257, 7219, 1221, 1149, 29356, 1643, 1165, 4355, 1405, 11169, 1167, 1233, 1258, 30701, 7219, 1221, 1149, 1756, 1299, 1158, 1408, 4327, 14662, 3557, 2399, 1357, 1110, 7798, 10544, 1188, 1158, 1116, 6957, 6053, 1469, 1282, 31328, 1162, 1125, 1158, 3385, 1125, 4052, 1167, 1125, 11523, 1125, 1158, 1526, 1245, 1188, 19091, 1173, 4619, 1592, 10426, 1825, 22282, 17277, 1173, 10426, 3472, 10927, 5410, 1496, 1188, 24385, 19185, 1125, 7219, 1221, 1149, 29356, 1309, 1158, 18714, 2985, 16233, 1215, 1207, 20088, 1125, 1158, 3385, 1256, 2341, 1107, 1909, 3845, 4413, 15689, 1190, 1118, 2985, 6349, 16233, 1215, 19633, 1167, 16959, 2610, 7358, 1122, 3378, 1188, 11793, 1125, 1158, 1165, 4355, 1215, 1197, 15544, 6400, 1813, 5610, 20022, 1125, 1158, 3734, 1188, 1158, 3370, 1304, 30871, 121, 2093, 141, 1121, 1190, 1118, 12504, 26311, 1299, 1318, 6018, 4813, 1357, 1110, 18640, 1186, 488, 125, 123, 124, 125, 1594, 3151, 16487, 1388, 2439, 174, 3556, 4813, 1186, 16271, 16939, 24740, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 159, 1149, 14587, 186, 1299, 1189, 7433, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1204, 2858, 1124, 19609, 8509, 10995, 18805, 14360, 1125, 1440, 7433, 1508, 2283, 2035, 2097, 1125, 10942, 14050, 1819, 2163, 9994, 2038, 1197, 14360, 12928, 3015, 488, 2232, 1198, 1149, 14587, 186, 1110, 7437, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 5873, 5283, 1117, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 8613, 1124, 192, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 17258, 1121, 2960, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 12662, 1565, 1162, 17482, 1424, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 1257, 1410, 2680, 26333, 1176, 1499, 10620, 1161, 2482, 21770, 1175, 2233, 2988, 4735, 133, 1204, 2858, 1124, 19609, 1576, 1459, 1263, 1148, 2266, 1230, 5286, 2376, 1285, 1859, 1859, 6749, 28870, 5825, 9323, 1167, 5474, 2093, 152, 2858, 1124, 19609, 2911, 1108, 1112, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 10942, 14050, 1819, 2163, 114, 32001, 1424, 32000, 20036, 24623, 159, 1149, 14587, 186, 1299, 1189, 7433, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1204, 2858, 1124, 19609, 8509, 10995, 18805, 14360, 1125, 1440, 7433, 1508, 2283, 2035, 2097, 1125, 10942, 14050, 1819, 2163, 9994, 2038, 1197, 14360, 12928, 3015, 488, 2232, 1198, 1149, 14587, 186, 1110, 7437, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 5873, 5283, 1117, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 8613, 1124, 192, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 17258, 1121, 2960, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 12662, 1565, 1162, 17482, 1424, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 1257, 1410, 2680, 26333, 1176, 1499, 10620, 1161, 2482, 21770, 1175, 2233, 2988, 4735, 133, 1204, 2858, 1124, 19609, 1576, 1459, 1263, 1148, 2266, 1230, 5286, 2376, 1285, 1859, 1859, 6749, 28870, 5825, 9323, 1167, 5474, 2093, 152, 2858, 1124, 19609, 2911, 1108, 1112, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 10942, 14050, 1819, 2163, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 159, 1149, 14587, 186, 1299, 1189, 7433, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1204, 2858, 1124, 19609, 8509, 10995, 18805, 14360, 1125, 1440, 7433, 1508, 2283, 2035, 2097, 1125, 10942, 14050, 1819, 2163, 9994, 2038, 1197, 14360, 12928, 3015, 488, 2232, 1198, 1149, 14587, 186, 1110, 7437, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 5873, 5283, 1117, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 8613, 1124, 192, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 106, 1198, 1149, 14587, 186, 17258, 1121, 2960, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 12662, 1565, 1162, 17482, 1424, 1306, 1351, 23624, 1673, 4847, 1124, 1319, 119, 488, 125, 123, 125, 123, 1257, 1410, 2680, 26333, 1176, 1499, 10620, 1161, 2482, 21770, 1175, 2233, 2988, 4735, 133, 1204, 2858, 1124, 19609, 1576, 1459, 1263, 1148, 2266, 1230, 5286, 2376, 1285, 1859, 1859, 6749, 28870, 5825, 9323, 1167, 5474, 2093, 152, 2858, 1124, 19609, 2911, 1108, 1112, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 10942, 14050, 1819, 2163, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 18805, 12674, 1541, 1125, 10690, 1245, 1175, 124, 132, 132, 128, 116, 1299, 1189, 7808, 1125, 6577, 2486, 1262, 10816, 15140, 14187, 2499, 173, 6266, 23332, 1186, 488, 124, 132, 132, 128, 121, 1548, 19825, 1188, 1158, 3453, 3888, 1215, 1189, 1139, 2677, 1793, 1188, 1282, 13945, 3000, 1494, 2100, 1723, 1357, 25244, 15927, 1188, 18480, 18993, 174, 12374, 4341, 2436, 1313, 1207, 14766, 2800, 8941, 1331, 6542, 116, 31036, 1318, 9186, 29298, 2240, 1313, 1170, 1173, 3205, 1172, 5544, 1313, 21204, 1125, 23879, 14691, 9770, 1653, 1408, 1125, 1275, 5670, 1207, 8936, 3365, 4808, 1167, 1207, 6950, 3365, 28609, 2944, 7630, 11786, 1170, 1441, 30941, 8980, 1306, 2724, 3685, 1659, 2499, 173, 6266, 9886, 1125, 3171, 1113, 1220, 1125, 18163, 3833, 1167, 1125, 1158, 14580, 121, 1768, 2676, 2732, 3747, 1125, 8999, 12716, 1125, 5753, 28341, 1227, 2824, 1188, 1540, 1214, 1186, 17612, 1197, 28202, 1125, 10036, 30627, 1245, 1362, 1906, 1125, 1158, 2492, 1125, 9228, 5445, 1108, 244, 1125, 1539, 1230, 24321, 1164, 1265, 121, 4466, 3851, 3515, 4227, 8223, 190, 1508, 22786, 1473, 1188, 1158, 1441, 1232, 11419, 2519, 4418, 1362, 2519, 3419, 121, 1643, 14976, 5964, 1215, 13949, 1518, 1112, 1470, 1299, 1215, 1277, 1186, 488, 124, 132, 132, 132, 121, 4060, 2076, 13407, 1527, 14882, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8370, 488, 125, 123, 124, 125, 119, 1170, 3399, 29069, 9400, 26430, 4189, 176, 1110, 8922, 1170, 3418, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 21469, 1440, 5509, 15826, 1108, 1112, 1167, 5167, 28912, 1298, 1199, 1158, 1225, 2150, 1835, 1170, 19825, 12067, 244, 2519, 9186, 29298, 2240, 1167, 1207, 3320, 14159, 3112, 1274, 12854, 1215, 1207, 8936, 1904, 1837, 1167, 1207, 13656, 23550, 1317, 3285, 1227, 3731, 1629, 119, 1808, 12674, 1541, 1125, 10690, 1245, 1110, 1913, 28208, 1125, 1257, 1606, 5509, 1166, 31614, 1509, 184, 1819, 1678, 1199, 168, 14225, 119, 19825, 1125, 3831, 3301, 3260, 2430, 2620, 1966, 2653, 1167, 7520, 3327, 1524, 1313, 1170, 2482, 4524, 6763, 1457, 4060, 1946, 27185, 1125, 22457, 2651, 1844, 3247, 8363, 2009, 1125, 6764, 9813, 1606, 2800, 8941, 1331, 1108, 1524, 1357, 6462, 2191, 6496, 1606, 21856, 1160, 6682, 7975, 1369, 1188, 1158, 22457, 2651, 1524, 10803, 7751, 1125, 6344, 7669, 1429, 1186, 7272, 1167, 7207, 119, 1256, 2205, 3828, 1910, 6850, 1197, 17522, 6331, 1125, 18480, 119, 1299, 2445, 1318, 7925, 1960, 4393, 3858, 1197, 14766, 1125, 2499, 8941, 5108, 9908, 1288, 1508, 4206, 2593, 1274, 1473, 4206, 21898, 1473, 1723, 16227, 29436, 3914, 1313, 1318, 1910, 1408, 3564, 1227, 4341, 5210, 1653, 1408, 1125, 2008, 7669, 3939, 2499, 173, 6266, 1781, 1450, 5542, 6746, 7037, 7993, 1395, 1491, 1107, 1170, 6092, 1856, 1170, 12114, 2011, 187, 1443, 2335, 17299, 1125, 10036, 30627, 6664, 1548, 25881, 1125, 1165, 7490, 3794, 1362, 1906, 1170, 11426, 1643, 1548, 11715, 1304, 1119, 15320, 1214, 1227, 28067, 1198, 24649, 6843, 1215, 7409, 31239, 191, 1186, 488, 124, 129, 126, 125, 1388, 2103, 3963, 1167, 3838, 18805, 18711, 29222, 1313, 1282, 18956, 1508, 4142, 1309, 10276, 11083, 30594, 3523, 2499, 173, 6266, 1257, 1170, 9058, 1158, 10005, 1167, 1158, 3060, 1125, 1282, 13945, 121, 12427, 1170, 11876, 14167, 1200, 2334, 2114, 1808, 12674, 1541, 1125, 10690, 1245, 28038, 2042, 2519, 14853, 1125, 1282, 13945, 1227, 1139, 2677, 1793, 2800, 8941, 1331, 1108, 1167, 1125, 4421, 1125, 8980, 1306, 2724, 1136, 2104, 1257, 2183, 2069, 1508, 1197, 15644, 1925, 10816, 190, 4716, 2907, 1205, 1568, 1186, 1645, 19394, 1167, 4716, 29982, 5610, 18446, 2028, 1457, 1867, 6698, 1282, 13945, 1125, 8980, 1306, 2724, 1136, 2104, 14853, 1245, 2445, 1469, 4421, 1125, 25245, 7478, 1306, 257, 1412, 1107, 23986, 2499, 173, 6266, 9760, 27496, 6840, 10865, 1282, 11075, 1197, 2166, 1415, 184, 2298, 1256, 11055, 1207, 5499, 1430, 2040, 24563, 1313, 1440, 19825, 1215, 2499, 173, 6266, 1197, 24261, 1227, 1139, 2677, 1793, 1197, 24261, 1125, 1306, 2724, 3685, 1659, 1527, 7354, 8709, 1125, 3089, 1357, 2368, 8636, 6857, 5550, 18898, 6254, 15624, 3694, 1125, 1282, 18956, 1299, 2595, 6529, 1188, 4759, 1158, 6216, 1125, 10690, 1245, 1188, 2069, 2888, 15898, 1158, 3453, 2768, 1313, 1318, 3391, 1205, 8628, 8004, 1303, 1125, 1115, 12442, 25781, 14372, 6375, 1784, 3004, 3794, 1167, 1158, 9640, 2768, 1313, 1170, 16934, 15327, 121, 2576, 5163, 1844, 2130, 8770, 6891, 1188, 1158, 17244, 1167, 1188, 1909, 1151, 1245, 1541, 2442, 12973, 1594, 3672, 15150, 6255, 8623, 13645, 19935, 18604, 488, 124, 132, 132, 132, 119, 2666, 9911, 1125, 1561, 14976, 1186, 7577, 19832, 1808, 12674, 1541, 1125, 10690, 1245, 1299, 2264, 6452, 1215, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8155, 3399, 29069, 9400, 26430, 4189, 176, 18532, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 1186, 488, 125, 123, 124, 125, 121, 18281, 10847, 1188, 6115, 7971, 1158, 2492, 1125, 18480, 119, 4189, 176, 11102, 19941, 1300, 9933, 1125, 1594, 6885, 1723, 11129, 1300, 1808, 12674, 1541, 1125, 10690, 22631, 3190, 3993, 1953, 1125, 1282, 18956, 1508, 26761, 1188, 3171, 21402, 3672, 1170, 3399, 3693, 10028, 2123, 1322, 1364, 1317, 2151, 9033, 28208, 1125, 1606, 2800, 8941, 1331, 1108, 1524, 1388, 2439, 17935, 17994, 1424, 9009, 9009, 6749, 10853, 2093, 157, 3841, 10816, 23332, 1186, 488, 124, 132, 132, 128, 2586, 1722, 1558, 23332, 1186, 488, 124, 132, 132, 128, 1628, 3205, 22843, 32001, 1424, 32000, 20036, 2608, 12674, 1541, 1125, 10690, 1245, 1175, 124, 132, 132, 128, 116, 1299, 1189, 7808, 1125, 6577, 2486, 1262, 10816, 15140, 14187, 2499, 173, 6266, 23332, 1186, 488, 124, 132, 132, 128, 121, 1548, 19825, 1188, 1158, 3453, 3888, 1215, 1189, 1139, 2677, 1793, 1188, 1282, 13945, 3000, 1494, 2100, 1723, 1357, 25244, 15927, 1188, 18480, 18993, 174, 12374, 4341, 2436, 1313, 1207, 14766, 2800, 8941, 1331, 6542, 116, 31036, 1318, 9186, 29298, 2240, 1313, 1170, 1173, 3205, 1172, 5544, 1313, 21204, 1125, 23879, 14691, 9770, 1653, 1408, 1125, 1275, 5670, 1207, 8936, 3365, 4808, 1167, 1207, 6950, 3365, 28609, 2944, 7630, 11786, 1170, 1441, 30941, 8980, 1306, 2724, 3685, 1659, 2499, 173, 6266, 9886, 1125, 3171, 1113, 1220, 1125, 18163, 3833, 1167, 1125, 1158, 14580, 121, 1768, 2676, 2732, 3747, 1125, 8999, 12716, 1125, 5753, 28341, 1227, 2824, 1188, 1540, 1214, 1186, 17612, 1197, 28202, 1125, 10036, 30627, 1245, 1362, 1906, 1125, 1158, 2492, 1125, 9228, 5445, 1108, 244, 1125, 1539, 1230, 24321, 1164, 1265, 121, 4466, 3851, 3515, 4227, 8223, 190, 1508, 22786, 1473, 1188, 1158, 1441, 1232, 11419, 2519, 4418, 1362, 2519, 3419, 121, 1643, 14976, 5964, 1215, 13949, 1518, 1112, 1470, 1299, 1215, 1277, 1186, 488, 124, 132, 132, 132, 121, 4060, 2076, 13407, 1527, 14882, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8370, 488, 125, 123, 124, 125, 119, 1170, 3399, 29069, 9400, 26430, 4189, 176, 1110, 8922, 1170, 3418, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 21469, 1440, 5509, 15826, 1108, 1112, 1167, 5167, 28912, 1298, 1199, 1158, 1225, 2150, 1835, 1170, 19825, 12067, 244, 2519, 9186, 29298, 2240, 1167, 1207, 3320, 14159, 3112, 1274, 12854, 1215, 1207, 8936, 1904, 1837, 1167, 1207, 13656, 23550, 1317, 3285, 1227, 3731, 1629, 119, 1808, 12674, 1541, 1125, 10690, 1245, 1110, 1913, 28208, 1125, 1257, 1606, 5509, 1166, 31614, 1509, 184, 1819, 1678, 1199, 168, 14225, 119, 19825, 1125, 3831, 3301, 3260, 2430, 2620, 1966, 2653, 1167, 7520, 3327, 1524, 1313, 1170, 2482, 4524, 6763, 1457, 4060, 1946, 27185, 1125, 22457, 2651, 1844, 3247, 8363, 2009, 1125, 6764, 9813, 1606, 2800, 8941, 1331, 1108, 1524, 1357, 6462, 2191, 6496, 1606, 21856, 1160, 6682, 7975, 1369, 1188, 1158, 22457, 2651, 1524, 10803, 7751, 1125, 6344, 7669, 1429, 1186, 7272, 1167, 7207, 119, 1256, 2205, 3828, 1910, 6850, 1197, 17522, 6331, 1125, 18480, 119, 1299, 2445, 1318, 7925, 1960, 4393, 3858, 1197, 14766, 1125, 2499, 8941, 5108, 9908, 1288, 1508, 4206, 2593, 1274, 1473, 4206, 21898, 1473, 1723, 16227, 29436, 3914, 1313, 1318, 1910, 1408, 3564, 1227, 4341, 5210, 1653, 1408, 1125, 2008, 7669, 3939, 2499, 173, 6266, 1781, 1450, 5542, 6746, 7037, 7993, 1395, 1491, 1107, 1170, 6092, 1856, 1170, 12114, 2011, 187, 1443, 2335, 17299, 1125, 10036, 30627, 6664, 1548, 25881, 1125, 1165, 7490, 3794, 1362, 1906, 1170, 11426, 1643, 1548, 11715, 1304, 1119, 15320, 1214, 1227, 28067, 1198, 24649, 6843, 1215, 7409, 31239, 191, 1186, 488, 124, 129, 126, 125, 1388, 2103, 3963, 1167, 3838, 18805, 18711, 29222, 1313, 1282, 18956, 1508, 4142, 1309, 10276, 11083, 30594, 3523, 2499, 173, 6266, 1257, 1170, 9058, 1158, 10005, 1167, 1158, 3060, 1125, 1282, 13945, 121, 12427, 1170, 11876, 14167, 1200, 2334, 2114, 1808, 12674, 1541, 1125, 10690, 1245, 28038, 2042, 2519, 14853, 1125, 1282, 13945, 1227, 1139, 2677, 1793, 2800, 8941, 1331, 1108, 1167, 1125, 4421, 1125, 8980, 1306, 2724, 1136, 2104, 1257, 2183, 2069, 1508, 1197, 15644, 1925, 10816, 190, 4716, 2907, 1205, 1568, 1186, 1645, 19394, 1167, 4716, 29982, 5610, 18446, 2028, 1457, 1867, 6698, 1282, 13945, 1125, 8980, 1306, 2724, 1136, 2104, 14853, 1245, 2445, 1469, 4421, 1125, 25245, 7478, 1306, 257, 1412, 1107, 23986, 2499, 173, 6266, 9760, 27496, 6840, 10865, 1282, 11075, 1197, 2166, 1415, 184, 2298, 1256, 11055, 1207, 5499, 1430, 2040, 24563, 1313, 1440, 19825, 1215, 2499, 173, 6266, 1197, 24261, 1227, 1139, 2677, 1793, 1197, 24261, 1125, 1306, 2724, 3685, 1659, 1527, 7354, 8709, 1125, 3089, 1357, 2368, 8636, 6857, 5550, 18898, 6254, 15624, 3694, 1125, 1282, 18956, 1299, 2595, 6529, 1188, 4759, 1158, 6216, 1125, 10690, 1245, 1188, 2069, 2888, 15898, 1158, 3453, 2768, 1313, 1318, 3391, 1205, 8628, 8004, 1303, 1125, 1115, 12442, 25781, 14372, 6375, 1784, 3004, 3794, 1167, 1158, 9640, 2768, 1313, 1170, 16934, 15327, 121, 2576, 5163, 1844, 2130, 8770, 6891, 1188, 1158, 17244, 1167, 1188, 1909, 1151, 1245, 1541, 2442, 12973, 1594, 3672, 15150, 6255, 8623, 13645, 19935, 18604, 488, 124, 132, 132, 132, 119, 2666, 9911, 1125, 1561, 14976, 1186, 7577, 19832, 1808, 12674, 1541, 1125, 10690, 1245, 1299, 2264, 6452, 1215, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8155, 3399, 29069, 9400, 26430, 4189, 176, 18532, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 1186, 488, 125, 123, 124, 125, 121, 18281, 10847, 1188, 6115, 7971, 1158, 2492, 1125, 18480, 119, 4189, 176, 11102, 19941, 1300, 9933, 1125, 1594, 6885, 1723, 11129, 1300, 1808, 12674, 1541, 1125, 10690, 22631, 3190, 3993, 1953, 1125, 1282, 18956, 1508, 26761, 1188, 3171, 21402, 3672, 1170, 3399, 3693, 10028, 2123, 1322, 1364, 1317, 2151, 9033, 28208, 1125, 1606, 2800, 8941, 1331, 1108, 1524, 1388, 2439, 17935, 17994, 1424, 9009, 9009, 6749, 10853, 2093, 157, 3841, 10816, 23332, 1186, 488, 124, 132, 132, 128, 2586, 1722, 1558, 23332, 1186, 488, 124, 132, 132, 128, 1628, 3205, 22843, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2608, 12674, 1541, 1125, 10690, 1245, 1175, 124, 132, 132, 128, 116, 1299, 1189, 7808, 1125, 6577, 2486, 1262, 10816, 15140, 14187, 2499, 173, 6266, 23332, 1186, 488, 124, 132, 132, 128, 121, 1548, 19825, 1188, 1158, 3453, 3888, 1215, 1189, 1139, 2677, 1793, 1188, 1282, 13945, 3000, 1494, 2100, 1723, 1357, 25244, 15927, 1188, 18480, 18993, 174, 12374, 4341, 2436, 1313, 1207, 14766, 2800, 8941, 1331, 6542, 116, 31036, 1318, 9186, 29298, 2240, 1313, 1170, 1173, 3205, 1172, 5544, 1313, 21204, 1125, 23879, 14691, 9770, 1653, 1408, 1125, 1275, 5670, 1207, 8936, 3365, 4808, 1167, 1207, 6950, 3365, 28609, 2944, 7630, 11786, 1170, 1441, 30941, 8980, 1306, 2724, 3685, 1659, 2499, 173, 6266, 9886, 1125, 3171, 1113, 1220, 1125, 18163, 3833, 1167, 1125, 1158, 14580, 121, 1768, 2676, 2732, 3747, 1125, 8999, 12716, 1125, 5753, 28341, 1227, 2824, 1188, 1540, 1214, 1186, 17612, 1197, 28202, 1125, 10036, 30627, 1245, 1362, 1906, 1125, 1158, 2492, 1125, 9228, 5445, 1108, 244, 1125, 1539, 1230, 24321, 1164, 1265, 121, 4466, 3851, 3515, 4227, 8223, 190, 1508, 22786, 1473, 1188, 1158, 1441, 1232, 11419, 2519, 4418, 1362, 2519, 3419, 121, 1643, 14976, 5964, 1215, 13949, 1518, 1112, 1470, 1299, 1215, 1277, 1186, 488, 124, 132, 132, 132, 121, 4060, 2076, 13407, 1527, 14882, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8370, 488, 125, 123, 124, 125, 119, 1170, 3399, 29069, 9400, 26430, 4189, 176, 1110, 8922, 1170, 3418, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 21469, 1440, 5509, 15826, 1108, 1112, 1167, 5167, 28912, 1298, 1199, 1158, 1225, 2150, 1835, 1170, 19825, 12067, 244, 2519, 9186, 29298, 2240, 1167, 1207, 3320, 14159, 3112, 1274, 12854, 1215, 1207, 8936, 1904, 1837, 1167, 1207, 13656, 23550, 1317, 3285, 1227, 3731, 1629, 119, 1808, 12674, 1541, 1125, 10690, 1245, 1110, 1913, 28208, 1125, 1257, 1606, 5509, 1166, 31614, 1509, 184, 1819, 1678, 1199, 168, 14225, 119, 19825, 1125, 3831, 3301, 3260, 2430, 2620, 1966, 2653, 1167, 7520, 3327, 1524, 1313, 1170, 2482, 4524, 6763, 1457, 4060, 1946, 27185, 1125, 22457, 2651, 1844, 3247, 8363, 2009, 1125, 6764, 9813, 1606, 2800, 8941, 1331, 1108, 1524, 1357, 6462, 2191, 6496, 1606, 21856, 1160, 6682, 7975, 1369, 1188, 1158, 22457, 2651, 1524, 10803, 7751, 1125, 6344, 7669, 1429, 1186, 7272, 1167, 7207, 119, 1256, 2205, 3828, 1910, 6850, 1197, 17522, 6331, 1125, 18480, 119, 1299, 2445, 1318, 7925, 1960, 4393, 3858, 1197, 14766, 1125, 2499, 8941, 5108, 9908, 1288, 1508, 4206, 2593, 1274, 1473, 4206, 21898, 1473, 1723, 16227, 29436, 3914, 1313, 1318, 1910, 1408, 3564, 1227, 4341, 5210, 1653, 1408, 1125, 2008, 7669, 3939, 2499, 173, 6266, 1781, 1450, 5542, 6746, 7037, 7993, 1395, 1491, 1107, 1170, 6092, 1856, 1170, 12114, 2011, 187, 1443, 2335, 17299, 1125, 10036, 30627, 6664, 1548, 25881, 1125, 1165, 7490, 3794, 1362, 1906, 1170, 11426, 1643, 1548, 11715, 1304, 1119, 15320, 1214, 1227, 28067, 1198, 24649, 6843, 1215, 7409, 31239, 191, 1186, 488, 124, 129, 126, 125, 1388, 2103, 3963, 1167, 3838, 18805, 18711, 29222, 1313, 1282, 18956, 1508, 4142, 1309, 10276, 11083, 30594, 3523, 2499, 173, 6266, 1257, 1170, 9058, 1158, 10005, 1167, 1158, 3060, 1125, 1282, 13945, 121, 12427, 1170, 11876, 14167, 1200, 2334, 2114, 1808, 12674, 1541, 1125, 10690, 1245, 28038, 2042, 2519, 14853, 1125, 1282, 13945, 1227, 1139, 2677, 1793, 2800, 8941, 1331, 1108, 1167, 1125, 4421, 1125, 8980, 1306, 2724, 1136, 2104, 1257, 2183, 2069, 1508, 1197, 15644, 1925, 10816, 190, 4716, 2907, 1205, 1568, 1186, 1645, 19394, 1167, 4716, 29982, 5610, 18446, 2028, 1457, 1867, 6698, 1282, 13945, 1125, 8980, 1306, 2724, 1136, 2104, 14853, 1245, 2445, 1469, 4421, 1125, 25245, 7478, 1306, 257, 1412, 1107, 23986, 2499, 173, 6266, 9760, 27496, 6840, 10865, 1282, 11075, 1197, 2166, 1415, 184, 2298, 1256, 11055, 1207, 5499, 1430, 2040, 24563, 1313, 1440, 19825, 1215, 2499, 173, 6266, 1197, 24261, 1227, 1139, 2677, 1793, 1197, 24261, 1125, 1306, 2724, 3685, 1659, 1527, 7354, 8709, 1125, 3089, 1357, 2368, 8636, 6857, 5550, 18898, 6254, 15624, 3694, 1125, 1282, 18956, 1299, 2595, 6529, 1188, 4759, 1158, 6216, 1125, 10690, 1245, 1188, 2069, 2888, 15898, 1158, 3453, 2768, 1313, 1318, 3391, 1205, 8628, 8004, 1303, 1125, 1115, 12442, 25781, 14372, 6375, 1784, 3004, 3794, 1167, 1158, 9640, 2768, 1313, 1170, 16934, 15327, 121, 2576, 5163, 1844, 2130, 8770, 6891, 1188, 1158, 17244, 1167, 1188, 1909, 1151, 1245, 1541, 2442, 12973, 1594, 3672, 15150, 6255, 8623, 13645, 19935, 18604, 488, 124, 132, 132, 132, 119, 2666, 9911, 1125, 1561, 14976, 1186, 7577, 19832, 1808, 12674, 1541, 1125, 10690, 1245, 1299, 2264, 6452, 1215, 1170, 3248, 1227, 30322, 21358, 6771, 3711, 1313, 1158, 6964, 1197, 26520, 8155, 3399, 29069, 9400, 26430, 4189, 176, 18532, 1202, 1384, 1419, 6396, 2090, 2499, 173, 6266, 116, 1186, 488, 125, 123, 124, 125, 121, 18281, 10847, 1188, 6115, 7971, 1158, 2492, 1125, 18480, 119, 4189, 176, 11102, 19941, 1300, 9933, 1125, 1594, 6885, 1723, 11129, 1300, 1808, 12674, 1541, 1125, 10690, 22631, 3190, 3993, 1953, 1125, 1282, 18956, 1508, 26761, 1188, 3171, 21402, 3672, 1170, 3399, 3693, 10028, 2123, 1322, 1364, 1317, 2151, 9033, 28208, 1125, 1606, 2800, 8941, 1331, 1108, 1524, 1388, 2439, 17935, 17994, 1424, 9009, 9009, 6749, 10853, 2093, 157, 3841, 10816, 23332, 1186, 488, 124, 132, 132, 128, 2586, 1722, 1558, 23332, 1186, 488, 124, 132, 132, 128, 1628, 3205, 22843, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 146, 180, 1632, 14921, 2855, 2673, 180, 7194, 180, 1632, 14921, 6780, 10935, 2855, 2673, 9630, 1362, 1293, 8868, 16714, 1362, 2743, 2855, 2673, 4698, 7816, 488, 124, 129, 132, 132, 1323, 11188, 119, 488, 124, 130, 129, 132, 116, 1299, 1189, 21359, 1836, 1167, 1189, 18866, 17779, 1125, 1158, 4927, 1708, 174, 28702, 18922, 1313, 1207, 18469, 1285, 1207, 29270, 2732, 1167, 1207, 6843, 1842, 1188, 10395, 10777, 14231, 2105, 2312, 2335, 6843, 2944, 10958, 1632, 14921, 2855, 1120, 1438, 1110, 6403, 244, 6018, 1188, 28138, 5693, 1125, 1198, 2508, 1141, 186, 6214, 2433, 11051, 22875, 1909, 6264, 2027, 22368, 19350, 1256, 1158, 4786, 22085, 25707, 8370, 488, 124, 130, 124, 128, 119, 1527, 1281, 5931, 1188, 20024, 1469, 1282, 23821, 15357, 9400, 488, 1167, 16636, 1125, 2368, 23774, 1856, 2515, 1154, 1477, 17388, 1723, 2551, 1383, 5026, 1382, 5998, 1125, 9672, 1256, 9931, 1167, 14065, 1188, 28138, 1186, 488, 124, 130, 125, 131, 1256, 4208, 7170, 1188, 31805, 1197, 14948, 120, 8752, 8370, 488, 124, 130, 127, 123, 119, 1527, 1910, 21179, 19824, 1188, 1202, 1439, 2567, 1125, 2368, 20285, 1188, 11188, 2585, 1527, 19859, 1388, 162, 28283, 21099, 1532, 1175, 124, 130, 123, 130, 458, 124, 130, 132, 125, 116, 2985, 1189, 1125, 1909, 11128, 1388, 282, 19760, 2105, 22137, 1125, 7451, 17247, 10465, 4966, 5370, 3144, 1293, 9458, 1762, 21144, 2356, 4303, 1273, 1249, 3144, 119, 3934, 2590, 1121, 1125, 12678, 1662, 5639, 1158, 7494, 4054, 1197, 4770, 8546, 28138, 2356, 152, 1249, 1125, 13811, 11825, 2113, 175, 1167, 1248, 4396, 1125, 1951, 2390, 187, 3603, 25848, 1197, 4770, 1989, 2356, 30868, 1277, 1125, 13811, 10935, 119, 7092, 1142, 1460, 1125, 1158, 1173, 2694, 1722, 16410, 4670, 1145, 17940, 1514, 119, 28138, 2356, 2606, 8411, 1317, 12103, 18969, 22620, 1175, 124, 130, 125, 127, 1496, 23976, 1171, 13075, 11679, 9663, 13449, 9323, 1167, 16828, 5825, 12662, 176, 1343, 1112, 17779, 1227, 11402, 31549, 6298, 13002, 1343, 1112, 1708, 174, 28702, 17779, 13002, 1343, 1112, 2515, 1154, 1477, 17388, 17779, 13002, 1343, 1112, 23290, 6172, 1568, 13002, 1343, 1112, 1131, 1312, 1134, 2038, 17779, 1628, 2652, 187, 1836, 17779, 1227, 11402, 31549, 6298, 8156, 1186, 2822, 488, 124, 129, 132, 132, 8156, 1188, 22398, 9317, 1186, 488, 124, 130, 129, 132, 9317, 1188, 11188, 121, 32001, 1424, 32000, 20036, 2911, 180, 1632, 14921, 2855, 2673, 180, 7194, 180, 1632, 14921, 6780, 10935, 2855, 2673, 9630, 1362, 1293, 8868, 16714, 1362, 2743, 2855, 2673, 4698, 7816, 488, 124, 129, 132, 132, 1323, 11188, 119, 488, 124, 130, 129, 132, 116, 1299, 1189, 21359, 1836, 1167, 1189, 18866, 17779, 1125, 1158, 4927, 1708, 174, 28702, 18922, 1313, 1207, 18469, 1285, 1207, 29270, 2732, 1167, 1207, 6843, 1842, 1188, 10395, 10777, 14231, 2105, 2312, 2335, 6843, 2944, 10958, 1632, 14921, 2855, 1120, 1438, 1110, 6403, 244, 6018, 1188, 28138, 5693, 1125, 1198, 2508, 1141, 186, 6214, 2433, 11051, 22875, 1909, 6264, 2027, 22368, 19350, 1256, 1158, 4786, 22085, 25707, 8370, 488, 124, 130, 124, 128, 119, 1527, 1281, 5931, 1188, 20024, 1469, 1282, 23821, 15357, 9400, 488, 1167, 16636, 1125, 2368, 23774, 1856, 2515, 1154, 1477, 17388, 1723, 2551, 1383, 5026, 1382, 5998, 1125, 9672, 1256, 9931, 1167, 14065, 1188, 28138, 1186, 488, 124, 130, 125, 131, 1256, 4208, 7170, 1188, 31805, 1197, 14948, 120, 8752, 8370, 488, 124, 130, 127, 123, 119, 1527, 1910, 21179, 19824, 1188, 1202, 1439, 2567, 1125, 2368, 20285, 1188, 11188, 2585, 1527, 19859, 1388, 162, 28283, 21099, 1532, 1175, 124, 130, 123, 130, 458, 124, 130, 132, 125, 116, 2985, 1189, 1125, 1909, 11128, 1388, 282, 19760, 2105, 22137, 1125, 7451, 17247, 10465, 4966, 5370, 3144, 1293, 9458, 1762, 21144, 2356, 4303, 1273, 1249, 3144, 119, 3934, 2590, 1121, 1125, 12678, 1662, 5639, 1158, 7494, 4054, 1197, 4770, 8546, 28138, 2356, 152, 1249, 1125, 13811, 11825, 2113, 175, 1167, 1248, 4396, 1125, 1951, 2390, 187, 3603, 25848, 1197, 4770, 1989, 2356, 30868, 1277, 1125, 13811, 10935, 119, 7092, 1142, 1460, 1125, 1158, 1173, 2694, 1722, 16410, 4670, 1145, 17940, 1514, 119, 28138, 2356, 2606, 8411, 1317, 12103, 18969, 22620, 1175, 124, 130, 125, 127, 1496, 23976, 1171, 13075, 11679, 9663, 13449, 9323, 1167, 16828, 5825, 12662, 176, 1343, 1112, 17779, 1227, 11402, 31549, 6298, 13002, 1343, 1112, 1708, 174, 28702, 17779, 13002, 1343, 1112, 2515, 1154, 1477, 17388, 17779, 13002, 1343, 1112, 23290, 6172, 1568, 13002, 1343, 1112, 1131, 1312, 1134, 2038, 17779, 1628, 2652, 187, 1836, 17779, 1227, 11402, 31549, 6298, 8156, 1186, 2822, 488, 124, 129, 132, 132, 8156, 1188, 22398, 9317, 1186, 488, 124, 130, 129, 132, 9317, 1188, 11188, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2911, 180, 1632, 14921, 2855, 2673, 180, 7194, 180, 1632, 14921, 6780, 10935, 2855, 2673, 9630, 1362, 1293, 8868, 16714, 1362, 2743, 2855, 2673, 4698, 7816, 488, 124, 129, 132, 132, 1323, 11188, 119, 488, 124, 130, 129, 132, 116, 1299, 1189, 21359, 1836, 1167, 1189, 18866, 17779, 1125, 1158, 4927, 1708, 174, 28702, 18922, 1313, 1207, 18469, 1285, 1207, 29270, 2732, 1167, 1207, 6843, 1842, 1188, 10395, 10777, 14231, 2105, 2312, 2335, 6843, 2944, 10958, 1632, 14921, 2855, 1120, 1438, 1110, 6403, 244, 6018, 1188, 28138, 5693, 1125, 1198, 2508, 1141, 186, 6214, 2433, 11051, 22875, 1909, 6264, 2027, 22368, 19350, 1256, 1158, 4786, 22085, 25707, 8370, 488, 124, 130, 124, 128, 119, 1527, 1281, 5931, 1188, 20024, 1469, 1282, 23821, 15357, 9400, 488, 1167, 16636, 1125, 2368, 23774, 1856, 2515, 1154, 1477, 17388, 1723, 2551, 1383, 5026, 1382, 5998, 1125, 9672, 1256, 9931, 1167, 14065, 1188, 28138, 1186, 488, 124, 130, 125, 131, 1256, 4208, 7170, 1188, 31805, 1197, 14948, 120, 8752, 8370, 488, 124, 130, 127, 123, 119, 1527, 1910, 21179, 19824, 1188, 1202, 1439, 2567, 1125, 2368, 20285, 1188, 11188, 2585, 1527, 19859, 1388, 162, 28283, 21099, 1532, 1175, 124, 130, 123, 130, 458, 124, 130, 132, 125, 116, 2985, 1189, 1125, 1909, 11128, 1388, 282, 19760, 2105, 22137, 1125, 7451, 17247, 10465, 4966, 5370, 3144, 1293, 9458, 1762, 21144, 2356, 4303, 1273, 1249, 3144, 119, 3934, 2590, 1121, 1125, 12678, 1662, 5639, 1158, 7494, 4054, 1197, 4770, 8546, 28138, 2356, 152, 1249, 1125, 13811, 11825, 2113, 175, 1167, 1248, 4396, 1125, 1951, 2390, 187, 3603, 25848, 1197, 4770, 1989, 2356, 30868, 1277, 1125, 13811, 10935, 119, 7092, 1142, 1460, 1125, 1158, 1173, 2694, 1722, 16410, 4670, 1145, 17940, 1514, 119, 28138, 2356, 2606, 8411, 1317, 12103, 18969, 22620, 1175, 124, 130, 125, 127, 1496, 23976, 1171, 13075, 11679, 9663, 13449, 9323, 1167, 16828, 5825, 12662, 176, 1343, 1112, 17779, 1227, 11402, 31549, 6298, 13002, 1343, 1112, 1708, 174, 28702, 17779, 13002, 1343, 1112, 2515, 1154, 1477, 17388, 17779, 13002, 1343, 1112, 23290, 6172, 1568, 13002, 1343, 1112, 1131, 1312, 1134, 2038, 17779, 1628, 2652, 187, 1836, 17779, 1227, 11402, 31549, 6298, 8156, 1186, 2822, 488, 124, 129, 132, 132, 8156, 1188, 22398, 9317, 1186, 488, 124, 130, 129, 132, 9317, 1188, 11188, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 146, 1242, 174, 1162, 1299, 1318, 4726, 21143, 23170, 13900, 1125, 488, 125, 123, 124, 129, 3719, 1303, 1215, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 121, 1643, 4726, 1299, 16233, 1170, 488, 125, 2829, 488, 125, 123, 124, 129, 1300, 21851, 27017, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 3643, 13168, 121, 1643, 4726, 14471, 1207, 18608, 28154, 156, 1188, 4759, 1170, 12630, 3042, 1309, 8935, 1167, 11449, 7120, 1129, 6040, 3403, 1317, 3285, 1125, 2770, 18992, 1167, 2609, 1261, 1129, 2770, 21012, 8509, 244, 13521, 2911, 1242, 174, 1162, 1299, 21917, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 22154, 1125, 1158, 3643, 13168, 1125, 19195, 10239, 119, 21851, 27017, 121, 1643, 4726, 1910, 2519, 14990, 1125, 1173, 2990, 1347, 11658, 28238, 1357, 1186, 4083, 1309, 5235, 7743, 2154, 1125, 21851, 1140, 8255, 1110, 3304, 3134, 3985, 1333, 1190, 8935, 1167, 2435, 1110, 10556, 1125, 5518, 1197, 10862, 1304, 2035, 4031, 1256, 1158, 3643, 13168, 134, 1527, 1110, 5251, 5364, 1189, 14996, 27975, 8499, 1469, 1318, 11671, 28154, 121, 11658, 2174, 1110, 18085, 1309, 8935, 2666, 20304, 2335, 7177, 1105, 3672, 1158, 1114, 22729, 8935, 1110, 14151, 1209, 1119, 11449, 119, 1189, 11637, 5097, 1357, 3618, 1125, 20986, 1186, 4083, 1309, 5416, 1793, 23290, 1167, 1110, 20780, 1856, 8328, 1197, 10911, 5774, 2635, 1188, 1410, 13172, 2993, 1220, 21388, 10817, 10803, 4726, 1110, 1913, 15501, 1303, 1256, 1318, 6311, 6586, 1186, 488, 125, 123, 124, 129, 1388, 2101, 3409, 2359, 5505, 1272, 1125, 1158, 3453, 6586, 1110, 13551, 1186, 2798, 488, 125, 123, 124, 128, 1188, 2482, 4524, 121, 1643, 22720, 1125, 8935, 15857, 2355, 1107, 31233, 21625, 197, 1188, 23712, 21123, 5011, 17332, 1299, 28526, 1215, 1197, 1931, 1701, 1167, 1299, 18717, 3128, 1154, 6204, 2576, 244, 4601, 1299, 3851, 192, 1313, 10399, 6362, 8403, 1125, 1158, 1114, 1550, 2596, 31253, 1145, 1197, 21299, 1110, 1913, 3902, 1188, 6454, 1256, 1823, 1904, 4587, 244, 1186, 3028, 1996, 1125, 2658, 2750, 1964, 3453, 8155, 5505, 1272, 1125, 1158, 6586, 488, 125, 1110, 13551, 1186, 2829, 488, 125, 123, 124, 129, 121, 1814, 15956, 4309, 31125, 1170, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1281, 20174, 1199, 1300, 1207, 13142, 1125, 1158, 18912, 1292, 2240, 1125, 14707, 1300, 6566, 1188, 1158, 2676, 9889, 1202, 25427, 1188, 3225, 2621, 2086, 1186, 7529, 10406, 1110, 1913, 22240, 1188, 1158, 8418, 2392, 1643, 6311, 6586, 1110, 13551, 1188, 1823, 29571, 1170, 488, 130, 2875, 488, 125, 123, 124, 129, 121, 1653, 2749, 488, 125, 123, 124, 130, 119, 1158, 4726, 1110, 1913, 14321, 1303, 1256, 1189, 12857, 140, 3269, 10239, 10812, 1226, 6398, 16641, 1863, 3258, 8015, 7552, 13270, 1125, 1158, 4726, 23435, 187, 13456, 11934, 5540, 488, 124, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 129, 1718, 158, 5540, 488, 125, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 130, 1718, 28119, 15004, 2523, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 109, 9988, 30370, 488, 124, 123, 123, 112, 134, 1709, 199, 120, 9988, 30891, 10128, 134, 1709, 108, 21134, 124, 112, 109, 199, 31323, 106, 108, 21134, 125, 123, 112, 109, 199, 10812, 106, 108, 21134, 125, 128, 112, 109, 199, 1165, 19340, 106, 108, 21134, 126, 128, 112, 109, 199, 1266, 7775, 1303, 26682, 108, 21134, 124, 112, 109, 199, 9670, 30265, 106, 108, 21134, 124, 112, 109, 4508, 8028, 1249, 1364, 109, 1547, 13090, 11905, 125, 123, 124, 129, 3422, 129, 131, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1173, 2990, 1347, 11658, 28238, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 3261, 1274, 1119, 1252, 11772, 2104, 1132, 5242, 14167, 17884, 1346, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 17618, 7451, 17332, 10465, 1266, 7304, 1662, 5778, 3190, 15862, 7132, 6279, 1263, 1712, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 3739, 18062, 10812, 2523, 199, 10347, 1459, 1434, 1967, 8015, 3422, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 123, 124, 130, 9106, 14214, 3176, 10812, 2523, 199, 1863, 3258, 25334, 3422, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 129, 132, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1209, 1119, 11449, 119, 1173, 2990, 1347, 11658, 28238, 1266, 7304, 1662, 5778, 3190, 15862, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 13949, 186, 1200, 1487, 1172, 1810, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 1117, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 131, 1276, 12857, 140, 3269, 10239, 10812, 2523, 199, 5141, 4884, 1695, 125, 109, 199, 6398, 16641, 1863, 3258, 8015, 3422, 5141, 4884, 1695, 125, 109, 199, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 131, 3422, 125, 132, 1276, 12857, 140, 3269, 10239, 10812, 2523, 13568, 9323, 1167, 5474, 9323, 15948, 7364, 5825, 9515, 9229, 1125, 21851, 27017, 1194, 7789, 2059, 2974, 16233, 1186, 488, 125, 123, 124, 129, 1489, 24784, 1188, 1158, 14022, 1571, 9864, 106, 7789, 2059, 2974, 21143, 1763, 4719, 1369, 1300, 1207, 28154, 114, 32001, 1424, 32000, 20036, 2911, 1242, 174, 1162, 1299, 1318, 4726, 21143, 23170, 13900, 1125, 488, 125, 123, 124, 129, 3719, 1303, 1215, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 121, 1643, 4726, 1299, 16233, 1170, 488, 125, 2829, 488, 125, 123, 124, 129, 1300, 21851, 27017, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 3643, 13168, 121, 1643, 4726, 14471, 1207, 18608, 28154, 156, 1188, 4759, 1170, 12630, 3042, 1309, 8935, 1167, 11449, 7120, 1129, 6040, 3403, 1317, 3285, 1125, 2770, 18992, 1167, 2609, 1261, 1129, 2770, 21012, 8509, 244, 13521, 2911, 1242, 174, 1162, 1299, 21917, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 22154, 1125, 1158, 3643, 13168, 1125, 19195, 10239, 119, 21851, 27017, 121, 1643, 4726, 1910, 2519, 14990, 1125, 1173, 2990, 1347, 11658, 28238, 1357, 1186, 4083, 1309, 5235, 7743, 2154, 1125, 21851, 1140, 8255, 1110, 3304, 3134, 3985, 1333, 1190, 8935, 1167, 2435, 1110, 10556, 1125, 5518, 1197, 10862, 1304, 2035, 4031, 1256, 1158, 3643, 13168, 134, 1527, 1110, 5251, 5364, 1189, 14996, 27975, 8499, 1469, 1318, 11671, 28154, 121, 11658, 2174, 1110, 18085, 1309, 8935, 2666, 20304, 2335, 7177, 1105, 3672, 1158, 1114, 22729, 8935, 1110, 14151, 1209, 1119, 11449, 119, 1189, 11637, 5097, 1357, 3618, 1125, 20986, 1186, 4083, 1309, 5416, 1793, 23290, 1167, 1110, 20780, 1856, 8328, 1197, 10911, 5774, 2635, 1188, 1410, 13172, 2993, 1220, 21388, 10817, 10803, 4726, 1110, 1913, 15501, 1303, 1256, 1318, 6311, 6586, 1186, 488, 125, 123, 124, 129, 1388, 2101, 3409, 2359, 5505, 1272, 1125, 1158, 3453, 6586, 1110, 13551, 1186, 2798, 488, 125, 123, 124, 128, 1188, 2482, 4524, 121, 1643, 22720, 1125, 8935, 15857, 2355, 1107, 31233, 21625, 197, 1188, 23712, 21123, 5011, 17332, 1299, 28526, 1215, 1197, 1931, 1701, 1167, 1299, 18717, 3128, 1154, 6204, 2576, 244, 4601, 1299, 3851, 192, 1313, 10399, 6362, 8403, 1125, 1158, 1114, 1550, 2596, 31253, 1145, 1197, 21299, 1110, 1913, 3902, 1188, 6454, 1256, 1823, 1904, 4587, 244, 1186, 3028, 1996, 1125, 2658, 2750, 1964, 3453, 8155, 5505, 1272, 1125, 1158, 6586, 488, 125, 1110, 13551, 1186, 2829, 488, 125, 123, 124, 129, 121, 1814, 15956, 4309, 31125, 1170, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1281, 20174, 1199, 1300, 1207, 13142, 1125, 1158, 18912, 1292, 2240, 1125, 14707, 1300, 6566, 1188, 1158, 2676, 9889, 1202, 25427, 1188, 3225, 2621, 2086, 1186, 7529, 10406, 1110, 1913, 22240, 1188, 1158, 8418, 2392, 1643, 6311, 6586, 1110, 13551, 1188, 1823, 29571, 1170, 488, 130, 2875, 488, 125, 123, 124, 129, 121, 1653, 2749, 488, 125, 123, 124, 130, 119, 1158, 4726, 1110, 1913, 14321, 1303, 1256, 1189, 12857, 140, 3269, 10239, 10812, 1226, 6398, 16641, 1863, 3258, 8015, 7552, 13270, 1125, 1158, 4726, 23435, 187, 13456, 11934, 5540, 488, 124, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 129, 1718, 158, 5540, 488, 125, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 130, 1718, 28119, 15004, 2523, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 109, 9988, 30370, 488, 124, 123, 123, 112, 134, 1709, 199, 120, 9988, 30891, 10128, 134, 1709, 108, 21134, 124, 112, 109, 199, 31323, 106, 108, 21134, 125, 123, 112, 109, 199, 10812, 106, 108, 21134, 125, 128, 112, 109, 199, 1165, 19340, 106, 108, 21134, 126, 128, 112, 109, 199, 1266, 7775, 1303, 26682, 108, 21134, 124, 112, 109, 199, 9670, 30265, 106, 108, 21134, 124, 112, 109, 4508, 8028, 1249, 1364, 109, 1547, 13090, 11905, 125, 123, 124, 129, 3422, 129, 131, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1173, 2990, 1347, 11658, 28238, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 3261, 1274, 1119, 1252, 11772, 2104, 1132, 5242, 14167, 17884, 1346, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 17618, 7451, 17332, 10465, 1266, 7304, 1662, 5778, 3190, 15862, 7132, 6279, 1263, 1712, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 3739, 18062, 10812, 2523, 199, 10347, 1459, 1434, 1967, 8015, 3422, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 123, 124, 130, 9106, 14214, 3176, 10812, 2523, 199, 1863, 3258, 25334, 3422, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 129, 132, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1209, 1119, 11449, 119, 1173, 2990, 1347, 11658, 28238, 1266, 7304, 1662, 5778, 3190, 15862, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 13949, 186, 1200, 1487, 1172, 1810, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 1117, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 131, 1276, 12857, 140, 3269, 10239, 10812, 2523, 199, 5141, 4884, 1695, 125, 109, 199, 6398, 16641, 1863, 3258, 8015, 3422, 5141, 4884, 1695, 125, 109, 199, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 131, 3422, 125, 132, 1276, 12857, 140, 3269, 10239, 10812, 2523, 13568, 9323, 1167, 5474, 9323, 15948, 7364, 5825, 9515, 9229, 1125, 21851, 27017, 1194, 7789, 2059, 2974, 16233, 1186, 488, 125, 123, 124, 129, 1489, 24784, 1188, 1158, 14022, 1571, 9864, 106, 7789, 2059, 2974, 21143, 1763, 4719, 1369, 1300, 1207, 28154, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2911, 1242, 174, 1162, 1299, 1318, 4726, 21143, 23170, 13900, 1125, 488, 125, 123, 124, 129, 3719, 1303, 1215, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 121, 1643, 4726, 1299, 16233, 1170, 488, 125, 2829, 488, 125, 123, 124, 129, 1300, 21851, 27017, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 3643, 13168, 121, 1643, 4726, 14471, 1207, 18608, 28154, 156, 1188, 4759, 1170, 12630, 3042, 1309, 8935, 1167, 11449, 7120, 1129, 6040, 3403, 1317, 3285, 1125, 2770, 18992, 1167, 2609, 1261, 1129, 2770, 21012, 8509, 244, 13521, 2911, 1242, 174, 1162, 1299, 21917, 1313, 1170, 4154, 1227, 21245, 1125, 1158, 22154, 1125, 1158, 3643, 13168, 1125, 19195, 10239, 119, 21851, 27017, 121, 1643, 4726, 1910, 2519, 14990, 1125, 1173, 2990, 1347, 11658, 28238, 1357, 1186, 4083, 1309, 5235, 7743, 2154, 1125, 21851, 1140, 8255, 1110, 3304, 3134, 3985, 1333, 1190, 8935, 1167, 2435, 1110, 10556, 1125, 5518, 1197, 10862, 1304, 2035, 4031, 1256, 1158, 3643, 13168, 134, 1527, 1110, 5251, 5364, 1189, 14996, 27975, 8499, 1469, 1318, 11671, 28154, 121, 11658, 2174, 1110, 18085, 1309, 8935, 2666, 20304, 2335, 7177, 1105, 3672, 1158, 1114, 22729, 8935, 1110, 14151, 1209, 1119, 11449, 119, 1189, 11637, 5097, 1357, 3618, 1125, 20986, 1186, 4083, 1309, 5416, 1793, 23290, 1167, 1110, 20780, 1856, 8328, 1197, 10911, 5774, 2635, 1188, 1410, 13172, 2993, 1220, 21388, 10817, 10803, 4726, 1110, 1913, 15501, 1303, 1256, 1318, 6311, 6586, 1186, 488, 125, 123, 124, 129, 1388, 2101, 3409, 2359, 5505, 1272, 1125, 1158, 3453, 6586, 1110, 13551, 1186, 2798, 488, 125, 123, 124, 128, 1188, 2482, 4524, 121, 1643, 22720, 1125, 8935, 15857, 2355, 1107, 31233, 21625, 197, 1188, 23712, 21123, 5011, 17332, 1299, 28526, 1215, 1197, 1931, 1701, 1167, 1299, 18717, 3128, 1154, 6204, 2576, 244, 4601, 1299, 3851, 192, 1313, 10399, 6362, 8403, 1125, 1158, 1114, 1550, 2596, 31253, 1145, 1197, 21299, 1110, 1913, 3902, 1188, 6454, 1256, 1823, 1904, 4587, 244, 1186, 3028, 1996, 1125, 2658, 2750, 1964, 3453, 8155, 5505, 1272, 1125, 1158, 6586, 488, 125, 1110, 13551, 1186, 2829, 488, 125, 123, 124, 129, 121, 1814, 15956, 4309, 31125, 1170, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1281, 20174, 1199, 1300, 1207, 13142, 1125, 1158, 18912, 1292, 2240, 1125, 14707, 1300, 6566, 1188, 1158, 2676, 9889, 1202, 25427, 1188, 3225, 2621, 2086, 1186, 7529, 10406, 1110, 1913, 22240, 1188, 1158, 8418, 2392, 1643, 6311, 6586, 1110, 13551, 1188, 1823, 29571, 1170, 488, 130, 2875, 488, 125, 123, 124, 129, 121, 1653, 2749, 488, 125, 123, 124, 130, 119, 1158, 4726, 1110, 1913, 14321, 1303, 1256, 1189, 12857, 140, 3269, 10239, 10812, 1226, 6398, 16641, 1863, 3258, 8015, 7552, 13270, 1125, 1158, 4726, 23435, 187, 13456, 11934, 5540, 488, 124, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 129, 1718, 158, 5540, 488, 125, 1175, 125, 123, 124, 129, 1718, 9592, 20183, 1175, 125, 123, 124, 130, 1718, 28119, 15004, 2523, 198, 199, 4508, 194, 2461, 5227, 5016, 1364, 109, 9988, 30370, 488, 124, 123, 123, 112, 134, 1709, 199, 120, 9988, 30891, 10128, 134, 1709, 108, 21134, 124, 112, 109, 199, 31323, 106, 108, 21134, 125, 123, 112, 109, 199, 10812, 106, 108, 21134, 125, 128, 112, 109, 199, 1165, 19340, 106, 108, 21134, 126, 128, 112, 109, 199, 1266, 7775, 1303, 26682, 108, 21134, 124, 112, 109, 199, 9670, 30265, 106, 108, 21134, 124, 112, 109, 4508, 8028, 1249, 1364, 109, 1547, 13090, 11905, 125, 123, 124, 129, 3422, 129, 131, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1173, 2990, 1347, 11658, 28238, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 3261, 1274, 1119, 1252, 11772, 2104, 1132, 5242, 14167, 17884, 1346, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 17618, 7451, 17332, 10465, 1266, 7304, 1662, 5778, 3190, 15862, 7132, 6279, 1263, 1712, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 3739, 18062, 10812, 2523, 199, 10347, 1459, 1434, 1967, 8015, 3422, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 123, 124, 130, 9106, 14214, 3176, 10812, 2523, 199, 1863, 3258, 25334, 3422, 3985, 1333, 1190, 8935, 1167, 1209, 1119, 11449, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 129, 132, 1276, 16987, 2258, 4633, 3818, 10812, 2523, 199, 6398, 16641, 1814, 190, 6988, 175, 1863, 3258, 8015, 3422, 3985, 1333, 1190, 1202, 3301, 1209, 1119, 11449, 119, 1173, 2990, 1347, 11658, 28238, 1266, 7304, 1662, 5778, 3190, 15862, 18211, 180, 8471, 185, 1243, 1548, 1176, 16781, 13949, 186, 1200, 1487, 1172, 1810, 2460, 2988, 11040, 119, 31996, 196, 6044, 191, 1117, 3422, 13090, 15645, 125, 123, 124, 130, 3422, 125, 131, 1276, 12857, 140, 3269, 10239, 10812, 2523, 199, 5141, 4884, 1695, 125, 109, 199, 6398, 16641, 1863, 3258, 8015, 3422, 5141, 4884, 1695, 125, 109, 199, 31599, 174, 1162, 3422, 13090, 15645, 125, 123, 124, 131, 3422, 125, 132, 1276, 12857, 140, 3269, 10239, 10812, 2523, 13568, 9323, 1167, 5474, 9323, 15948, 7364, 5825, 9515, 9229, 1125, 21851, 27017, 1194, 7789, 2059, 2974, 16233, 1186, 488, 125, 123, 124, 129, 1489, 24784, 1188, 1158, 14022, 1571, 9864, 106, 7789, 2059, 2974, 21143, 1763, 4719, 1369, 1300, 1207, 28154, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 2029, 3418, 1300, 1207, 17510, 21215, 7933, 1277, 193, 1180, 116, 1299, 1189, 2102, 4972, 3277, 1283, 15673, 1127, 1398, 1146, 1262, 8922, 1215, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 12001, 9665, 1186, 488, 125, 123, 123, 129, 7745, 31751, 1424, 159, 5243, 1299, 1189, 17510, 3299, 10743, 1399, 1167, 18026, 1460, 1357, 7353, 8753, 1906, 1408, 10440, 4077, 4170, 1275, 15709, 1657, 1768, 13633, 1125, 8753, 1189, 2511, 1736, 188, 7993, 2995, 5533, 22745, 28132, 1469, 1594, 1736, 25502, 1374, 1325, 13160, 1167, 1189, 1200, 1379, 1382, 2205, 8872, 3310, 1527, 1281, 12208, 1313, 1318, 24150, 6385, 187, 1123, 2009, 1256, 15548, 1188, 1235, 4313, 15147, 4095, 1198, 5243, 1167, 16860, 3733, 7667, 1234, 1215, 1158, 13024, 1632, 5715, 17510, 3299, 1233, 1456, 180, 1167, 5610, 31517, 3342, 21376, 1300, 6045, 1213, 1469, 13024, 1207, 5542, 14914, 1183, 5899, 1167, 26234, 1213, 1189, 22591, 1304, 283, 21215, 1125, 2762, 18800, 1256, 10439, 1187, 1561, 5601, 14023, 3352, 4403, 1424, 20638, 1257, 1814, 3418, 1300, 1207, 17510, 3299, 2523, 20638, 5379, 1257, 1306, 1277, 193, 1180, 106, 5294, 4521, 1257, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 2038, 106, 2941, 1538, 5844, 1257, 1424, 20357, 1257, 1424, 19210, 2232, 9299, 14994, 1257, 9671, 1460, 106, 24178, 1257, 1424, 8399, 1112, 1257, 3719, 2071, 30882, 106, 25694, 1257, 488, 132, 123, 4826, 106, 7922, 1125, 8969, 1257, 488, 125, 123, 123, 129, 9323, 1167, 20117, 20544, 11052, 1424, 26677, 1127, 1398, 1146, 1262, 106, 12253, 1197, 27770, 4972, 9172, 1304, 15673, 7364, 5825, 1424, 1424, 488, 7649, 9229, 106, 488, 1252, 3352, 1165, 1314, 1232, 195, 23159, 6417, 1127, 1398, 1146, 1262, 9665, 1186, 488, 125, 123, 123, 129, 15089, 1304, 15673, 1127, 1398, 1146, 1262, 3198, 14372, 1127, 1398, 1146, 2100, 15089, 1281, 8866, 11953, 1317, 9671, 1460, 106, 282, 3299, 1313, 1158, 14225, 32001, 1424, 32000, 20036, 5194, 3418, 1300, 1207, 17510, 21215, 7933, 1277, 193, 1180, 116, 1299, 1189, 2102, 4972, 3277, 1283, 15673, 1127, 1398, 1146, 1262, 8922, 1215, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 12001, 9665, 1186, 488, 125, 123, 123, 129, 7745, 31751, 1424, 159, 5243, 1299, 1189, 17510, 3299, 10743, 1399, 1167, 18026, 1460, 1357, 7353, 8753, 1906, 1408, 10440, 4077, 4170, 1275, 15709, 1657, 1768, 13633, 1125, 8753, 1189, 2511, 1736, 188, 7993, 2995, 5533, 22745, 28132, 1469, 1594, 1736, 25502, 1374, 1325, 13160, 1167, 1189, 1200, 1379, 1382, 2205, 8872, 3310, 1527, 1281, 12208, 1313, 1318, 24150, 6385, 187, 1123, 2009, 1256, 15548, 1188, 1235, 4313, 15147, 4095, 1198, 5243, 1167, 16860, 3733, 7667, 1234, 1215, 1158, 13024, 1632, 5715, 17510, 3299, 1233, 1456, 180, 1167, 5610, 31517, 3342, 21376, 1300, 6045, 1213, 1469, 13024, 1207, 5542, 14914, 1183, 5899, 1167, 26234, 1213, 1189, 22591, 1304, 283, 21215, 1125, 2762, 18800, 1256, 10439, 1187, 1561, 5601, 14023, 3352, 4403, 1424, 20638, 1257, 1814, 3418, 1300, 1207, 17510, 3299, 2523, 20638, 5379, 1257, 1306, 1277, 193, 1180, 106, 5294, 4521, 1257, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 2038, 106, 2941, 1538, 5844, 1257, 1424, 20357, 1257, 1424, 19210, 2232, 9299, 14994, 1257, 9671, 1460, 106, 24178, 1257, 1424, 8399, 1112, 1257, 3719, 2071, 30882, 106, 25694, 1257, 488, 132, 123, 4826, 106, 7922, 1125, 8969, 1257, 488, 125, 123, 123, 129, 9323, 1167, 20117, 20544, 11052, 1424, 26677, 1127, 1398, 1146, 1262, 106, 12253, 1197, 27770, 4972, 9172, 1304, 15673, 7364, 5825, 1424, 1424, 488, 7649, 9229, 106, 488, 1252, 3352, 1165, 1314, 1232, 195, 23159, 6417, 1127, 1398, 1146, 1262, 9665, 1186, 488, 125, 123, 123, 129, 15089, 1304, 15673, 1127, 1398, 1146, 1262, 3198, 14372, 1127, 1398, 1146, 2100, 15089, 1281, 8866, 11953, 1317, 9671, 1460, 106, 282, 3299, 1313, 1158, 14225, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5194, 3418, 1300, 1207, 17510, 21215, 7933, 1277, 193, 1180, 116, 1299, 1189, 2102, 4972, 3277, 1283, 15673, 1127, 1398, 1146, 1262, 8922, 1215, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 12001, 9665, 1186, 488, 125, 123, 123, 129, 7745, 31751, 1424, 159, 5243, 1299, 1189, 17510, 3299, 10743, 1399, 1167, 18026, 1460, 1357, 7353, 8753, 1906, 1408, 10440, 4077, 4170, 1275, 15709, 1657, 1768, 13633, 1125, 8753, 1189, 2511, 1736, 188, 7993, 2995, 5533, 22745, 28132, 1469, 1594, 1736, 25502, 1374, 1325, 13160, 1167, 1189, 1200, 1379, 1382, 2205, 8872, 3310, 1527, 1281, 12208, 1313, 1318, 24150, 6385, 187, 1123, 2009, 1256, 15548, 1188, 1235, 4313, 15147, 4095, 1198, 5243, 1167, 16860, 3733, 7667, 1234, 1215, 1158, 13024, 1632, 5715, 17510, 3299, 1233, 1456, 180, 1167, 5610, 31517, 3342, 21376, 1300, 6045, 1213, 1469, 13024, 1207, 5542, 14914, 1183, 5899, 1167, 26234, 1213, 1189, 22591, 1304, 283, 21215, 1125, 2762, 18800, 1256, 10439, 1187, 1561, 5601, 14023, 3352, 4403, 1424, 20638, 1257, 1814, 3418, 1300, 1207, 17510, 3299, 2523, 20638, 5379, 1257, 1306, 1277, 193, 1180, 106, 5294, 4521, 1257, 14359, 1172, 2326, 1167, 26417, 21308, 172, 5796, 1183, 2504, 2068, 1128, 189, 2038, 106, 2941, 1538, 5844, 1257, 1424, 20357, 1257, 1424, 19210, 2232, 9299, 14994, 1257, 9671, 1460, 106, 24178, 1257, 1424, 8399, 1112, 1257, 3719, 2071, 30882, 106, 25694, 1257, 488, 132, 123, 4826, 106, 7922, 1125, 8969, 1257, 488, 125, 123, 123, 129, 9323, 1167, 20117, 20544, 11052, 1424, 26677, 1127, 1398, 1146, 1262, 106, 12253, 1197, 27770, 4972, 9172, 1304, 15673, 7364, 5825, 1424, 1424, 488, 7649, 9229, 106, 488, 1252, 3352, 1165, 1314, 1232, 195, 23159, 6417, 1127, 1398, 1146, 1262, 9665, 1186, 488, 125, 123, 123, 129, 15089, 1304, 15673, 1127, 1398, 1146, 1262, 3198, 14372, 1127, 1398, 1146, 2100, 15089, 1281, 8866, 11953, 1317, 9671, 1460, 106, 282, 3299, 1313, 1158, 14225, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 149, 9981, 1299, 1318, 2118, 1437, 14898, 30631, 1215, 1158, 18648, 1167, 16233, 1215, 24460, 1325, 1176, 3359, 24120, 121, 1814, 15956, 19366, 1299, 31125, 1186, 488, 125, 123, 124, 127, 2391, 1125, 21804, 18679, 1606, 1748, 12995, 4390, 13152, 1524, 16142, 1215, 1158, 18648, 119, 1167, 1318, 4726, 10554, 1125, 4593, 21299, 1299, 29571, 1227, 488, 124, 124, 2578, 1317, 488, 124, 129, 2584, 488, 125, 123, 124, 128, 121, 3559, 6311, 6586, 1299, 29571, 1188, 3862, 1227, 488, 125, 130, 2875, 2750, 1158, 14133, 1125, 1158, 13168, 18648, 19451, 1186, 1318, 13168, 7670, 6317, 1300, 6014, 1186, 488, 125, 123, 124, 129, 121, 3559, 8483, 6586, 1167, 6128, 1299, 4021, 1303, 1215, 1158, 18648, 119, 29571, 1170, 488, 125, 2822, 488, 125, 123, 124, 130, 8732, 7849, 1741, 2278, 9981, 1325, 1176, 3359, 24120, 1257, 24460, 3985, 1120, 8590, 1257, 1350, 26334, 26643, 4094, 5826, 11247, 2443, 1257, 30121, 8128, 1867, 176, 1257, 4189, 2869, 31630, 6280, 2506, 1201, 1257, 1158, 10023, 1125, 30121, 1175, 1378, 1299, 5550, 1561, 10023, 1186, 14334, 1125, 1158, 4726, 1718, 8044, 2092, 11876, 3964, 1410, 24747, 3310, 1527, 11437, 1110, 1606, 5025, 1304, 16329, 1362, 1125, 16970, 1364, 1188, 2176, 1125, 1158, 3591, 1186, 8077, 1362, 1227, 12354, 26488, 1723, 25131, 28269, 1214, 1835, 1207, 11046, 1299, 2969, 1567, 17847, 1524, 1548, 6601, 28257, 12634, 1309, 1207, 11046, 12186, 1508, 4202, 15475, 1256, 1823, 1197, 14826, 174, 1701, 30733, 5493, 2335, 5359, 2519, 11400, 2100, 16981, 6002, 9997, 1158, 17705, 1125, 26643, 4094, 5826, 11247, 2443, 1299, 1256, 5924, 1606, 2205, 4051, 1364, 1524, 16900, 2763, 6641, 1364, 26384, 7340, 12397, 1309, 1594, 1606, 3498, 1149, 1218, 1460, 1281, 8902, 1134, 1370, 1524, 16900, 31094, 3498, 1149, 25779, 1656, 1524, 4023, 2606, 6601, 1410, 11384, 3190, 182, 1299, 2205, 11876, 16221, 1158, 1114, 22729, 1158, 5916, 5472, 1304, 207, 4566, 13740, 1160, 1131, 2240, 1524, 16900, 4773, 4566, 5804, 1269, 1851, 1265, 1171, 3087, 5849, 1163, 2795, 2269, 24460, 1526, 9711, 26024, 1135, 6438, 7775, 196, 1161, 2977, 1149, 2155, 1704, 6446, 1524, 4023, 13766, 1410, 30182, 3100, 1527, 1251, 1110, 1606, 1318, 7031, 1294, 28269, 1214, 1524, 16900, 1110, 11250, 8557, 8173, 15198, 1835, 1207, 3203, 14115, 12186, 1167, 1158, 4726, 1299, 4242, 3235, 1606, 2519, 5228, 11201, 1810, 8646, 4496, 20854, 1167, 5920, 1774, 1524, 16900, 1147, 1110, 1139, 8117, 10108, 1762, 7381, 1965, 20296, 119, 15875, 5035, 1161, 2659, 1524, 4023, 224, 187, 13456, 13776, 12602, 2359, 17557, 1125, 1158, 3453, 6586, 1299, 9665, 1170, 488, 132, 2578, 488, 125, 123, 124, 128, 121, 20657, 1125, 1158, 9640, 1299, 9665, 1170, 488, 124, 124, 2749, 488, 125, 123, 124, 130, 24890, 13459, 2072, 7364, 5825, 11934, 2974, 23170, 14898, 1197, 4092, 488, 125, 123, 124, 123, 29041, 23170, 1281, 8866, 11953, 1317, 21144, 29041, 23170, 16233, 1186, 488, 125, 123, 124, 127, 114, 32001, 1424, 32000, 20036, 24623, 149, 9981, 1299, 1318, 2118, 1437, 14898, 30631, 1215, 1158, 18648, 1167, 16233, 1215, 24460, 1325, 1176, 3359, 24120, 121, 1814, 15956, 19366, 1299, 31125, 1186, 488, 125, 123, 124, 127, 2391, 1125, 21804, 18679, 1606, 1748, 12995, 4390, 13152, 1524, 16142, 1215, 1158, 18648, 119, 1167, 1318, 4726, 10554, 1125, 4593, 21299, 1299, 29571, 1227, 488, 124, 124, 2578, 1317, 488, 124, 129, 2584, 488, 125, 123, 124, 128, 121, 3559, 6311, 6586, 1299, 29571, 1188, 3862, 1227, 488, 125, 130, 2875, 2750, 1158, 14133, 1125, 1158, 13168, 18648, 19451, 1186, 1318, 13168, 7670, 6317, 1300, 6014, 1186, 488, 125, 123, 124, 129, 121, 3559, 8483, 6586, 1167, 6128, 1299, 4021, 1303, 1215, 1158, 18648, 119, 29571, 1170, 488, 125, 2822, 488, 125, 123, 124, 130, 8732, 7849, 1741, 2278, 9981, 1325, 1176, 3359, 24120, 1257, 24460, 3985, 1120, 8590, 1257, 1350, 26334, 26643, 4094, 5826, 11247, 2443, 1257, 30121, 8128, 1867, 176, 1257, 4189, 2869, 31630, 6280, 2506, 1201, 1257, 1158, 10023, 1125, 30121, 1175, 1378, 1299, 5550, 1561, 10023, 1186, 14334, 1125, 1158, 4726, 1718, 8044, 2092, 11876, 3964, 1410, 24747, 3310, 1527, 11437, 1110, 1606, 5025, 1304, 16329, 1362, 1125, 16970, 1364, 1188, 2176, 1125, 1158, 3591, 1186, 8077, 1362, 1227, 12354, 26488, 1723, 25131, 28269, 1214, 1835, 1207, 11046, 1299, 2969, 1567, 17847, 1524, 1548, 6601, 28257, 12634, 1309, 1207, 11046, 12186, 1508, 4202, 15475, 1256, 1823, 1197, 14826, 174, 1701, 30733, 5493, 2335, 5359, 2519, 11400, 2100, 16981, 6002, 9997, 1158, 17705, 1125, 26643, 4094, 5826, 11247, 2443, 1299, 1256, 5924, 1606, 2205, 4051, 1364, 1524, 16900, 2763, 6641, 1364, 26384, 7340, 12397, 1309, 1594, 1606, 3498, 1149, 1218, 1460, 1281, 8902, 1134, 1370, 1524, 16900, 31094, 3498, 1149, 25779, 1656, 1524, 4023, 2606, 6601, 1410, 11384, 3190, 182, 1299, 2205, 11876, 16221, 1158, 1114, 22729, 1158, 5916, 5472, 1304, 207, 4566, 13740, 1160, 1131, 2240, 1524, 16900, 4773, 4566, 5804, 1269, 1851, 1265, 1171, 3087, 5849, 1163, 2795, 2269, 24460, 1526, 9711, 26024, 1135, 6438, 7775, 196, 1161, 2977, 1149, 2155, 1704, 6446, 1524, 4023, 13766, 1410, 30182, 3100, 1527, 1251, 1110, 1606, 1318, 7031, 1294, 28269, 1214, 1524, 16900, 1110, 11250, 8557, 8173, 15198, 1835, 1207, 3203, 14115, 12186, 1167, 1158, 4726, 1299, 4242, 3235, 1606, 2519, 5228, 11201, 1810, 8646, 4496, 20854, 1167, 5920, 1774, 1524, 16900, 1147, 1110, 1139, 8117, 10108, 1762, 7381, 1965, 20296, 119, 15875, 5035, 1161, 2659, 1524, 4023, 224, 187, 13456, 13776, 12602, 2359, 17557, 1125, 1158, 3453, 6586, 1299, 9665, 1170, 488, 132, 2578, 488, 125, 123, 124, 128, 121, 20657, 1125, 1158, 9640, 1299, 9665, 1170, 488, 124, 124, 2749, 488, 125, 123, 124, 130, 24890, 13459, 2072, 7364, 5825, 11934, 2974, 23170, 14898, 1197, 4092, 488, 125, 123, 124, 123, 29041, 23170, 1281, 8866, 11953, 1317, 21144, 29041, 23170, 16233, 1186, 488, 125, 123, 124, 127, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 149, 9981, 1299, 1318, 2118, 1437, 14898, 30631, 1215, 1158, 18648, 1167, 16233, 1215, 24460, 1325, 1176, 3359, 24120, 121, 1814, 15956, 19366, 1299, 31125, 1186, 488, 125, 123, 124, 127, 2391, 1125, 21804, 18679, 1606, 1748, 12995, 4390, 13152, 1524, 16142, 1215, 1158, 18648, 119, 1167, 1318, 4726, 10554, 1125, 4593, 21299, 1299, 29571, 1227, 488, 124, 124, 2578, 1317, 488, 124, 129, 2584, 488, 125, 123, 124, 128, 121, 3559, 6311, 6586, 1299, 29571, 1188, 3862, 1227, 488, 125, 130, 2875, 2750, 1158, 14133, 1125, 1158, 13168, 18648, 19451, 1186, 1318, 13168, 7670, 6317, 1300, 6014, 1186, 488, 125, 123, 124, 129, 121, 3559, 8483, 6586, 1167, 6128, 1299, 4021, 1303, 1215, 1158, 18648, 119, 29571, 1170, 488, 125, 2822, 488, 125, 123, 124, 130, 8732, 7849, 1741, 2278, 9981, 1325, 1176, 3359, 24120, 1257, 24460, 3985, 1120, 8590, 1257, 1350, 26334, 26643, 4094, 5826, 11247, 2443, 1257, 30121, 8128, 1867, 176, 1257, 4189, 2869, 31630, 6280, 2506, 1201, 1257, 1158, 10023, 1125, 30121, 1175, 1378, 1299, 5550, 1561, 10023, 1186, 14334, 1125, 1158, 4726, 1718, 8044, 2092, 11876, 3964, 1410, 24747, 3310, 1527, 11437, 1110, 1606, 5025, 1304, 16329, 1362, 1125, 16970, 1364, 1188, 2176, 1125, 1158, 3591, 1186, 8077, 1362, 1227, 12354, 26488, 1723, 25131, 28269, 1214, 1835, 1207, 11046, 1299, 2969, 1567, 17847, 1524, 1548, 6601, 28257, 12634, 1309, 1207, 11046, 12186, 1508, 4202, 15475, 1256, 1823, 1197, 14826, 174, 1701, 30733, 5493, 2335, 5359, 2519, 11400, 2100, 16981, 6002, 9997, 1158, 17705, 1125, 26643, 4094, 5826, 11247, 2443, 1299, 1256, 5924, 1606, 2205, 4051, 1364, 1524, 16900, 2763, 6641, 1364, 26384, 7340, 12397, 1309, 1594, 1606, 3498, 1149, 1218, 1460, 1281, 8902, 1134, 1370, 1524, 16900, 31094, 3498, 1149, 25779, 1656, 1524, 4023, 2606, 6601, 1410, 11384, 3190, 182, 1299, 2205, 11876, 16221, 1158, 1114, 22729, 1158, 5916, 5472, 1304, 207, 4566, 13740, 1160, 1131, 2240, 1524, 16900, 4773, 4566, 5804, 1269, 1851, 1265, 1171, 3087, 5849, 1163, 2795, 2269, 24460, 1526, 9711, 26024, 1135, 6438, 7775, 196, 1161, 2977, 1149, 2155, 1704, 6446, 1524, 4023, 13766, 1410, 30182, 3100, 1527, 1251, 1110, 1606, 1318, 7031, 1294, 28269, 1214, 1524, 16900, 1110, 11250, 8557, 8173, 15198, 1835, 1207, 3203, 14115, 12186, 1167, 1158, 4726, 1299, 4242, 3235, 1606, 2519, 5228, 11201, 1810, 8646, 4496, 20854, 1167, 5920, 1774, 1524, 16900, 1147, 1110, 1139, 8117, 10108, 1762, 7381, 1965, 20296, 119, 15875, 5035, 1161, 2659, 1524, 4023, 224, 187, 13456, 13776, 12602, 2359, 17557, 1125, 1158, 3453, 6586, 1299, 9665, 1170, 488, 132, 2578, 488, 125, 123, 124, 128, 121, 20657, 1125, 1158, 9640, 1299, 9665, 1170, 488, 124, 124, 2749, 488, 125, 123, 124, 130, 24890, 13459, 2072, 7364, 5825, 11934, 2974, 23170, 14898, 1197, 4092, 488, 125, 123, 124, 123, 29041, 23170, 1281, 8866, 11953, 1317, 21144, 29041, 23170, 16233, 1186, 488, 125, 123, 124, 127, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 14212, 11990, 1257, 22086, 1126, 488, 124, 132, 127, 127, 120, 124, 132, 128, 132, 1299, 1189, 10323, 2360, 1125, 488, 124, 127, 8175, 19430, 6387, 1207, 488, 124, 128, 9881, 4092, 1125, 5735, 1125, 21086, 186, 11868, 24914, 9053, 1186, 488, 125, 123, 124, 131, 1215, 1207, 16801, 1643, 23789, 1941, 1167, 1158, 1204, 1657, 1808, 23371, 3425, 1541, 2004, 1913, 4435, 1234, 1167, 1170, 5167, 20305, 21664, 1585, 14169, 1167, 17502, 180, 11697, 19957, 22222, 1167, 21270, 1123, 1297, 1768, 10515, 1227, 3151, 23660, 1125, 25753, 8249, 1125, 1282, 13221, 28526, 1125, 21086, 186, 11868, 1568, 1388, 3159, 2742, 1194, 2101, 3409, 1424, 5294, 4521, 1257, 8220, 2466, 11868, 1568, 1673, 16703, 16959, 1320, 1480, 20611, 7699, 9523, 1904, 6646, 1257, 1306, 25819, 7219, 9591, 1175, 1292, 14206, 10323, 2360, 1496, 10935, 1165, 1242, 3174, 1306, 4691, 1157, 3378, 9941, 157, 3145, 17851, 1494, 17610, 2303, 1395, 172, 1104, 1175, 20508, 1180, 2350, 2360, 1496, 1352, 2531, 4732, 1217, 1112, 1210, 1175, 6502, 2923, 1496, 8559, 14970, 3561, 24187, 6868, 6565, 16855, 8738, 11202, 15558, 24979, 3174, 10935, 1165, 1242, 3174, 26417, 6522, 16081, 1285, 1306, 25819, 7219, 193, 3100, 15558, 13598, 1201, 5007, 6154, 8185, 1513, 1485, 1260, 8293, 1883, 1125, 12705, 1257, 8220, 2466, 11868, 24914, 16703, 16959, 1320, 1480, 1201, 17994, 1167, 8541, 106, 19182, 1262, 1173, 1146, 1333, 1659, 21086, 186, 11868, 24914, 1317, 2658, 1197, 7790, 1270, 4886, 1125, 488, 124, 132, 127, 127, 1188, 488, 124, 132, 128, 132, 119, 1548, 3335, 10645, 488, 125, 123, 2875, 488, 125, 123, 124, 131, 1155, 3699, 14861, 1452, 1517, 1200, 1757, 2114, 21086, 186, 11868, 1568, 1257, 6666, 1469, 1594, 8658, 8220, 2466, 1357, 8325, 1286, 1318, 16756, 22086, 1126, 1125, 1594, 6885, 1186, 488, 126, 10323, 2360, 1285, 10587, 4462, 119, 488, 128, 2822, 488, 125, 123, 124, 131, 1155, 1252, 5834, 1165, 3145, 11868, 1568, 2750, 4613, 2904, 2944, 1318, 4052, 3080, 7886, 119, 2576, 147, 6632, 4355, 488, 131, 2578, 488, 125, 123, 124, 131, 9994, 2624, 5825, 1424, 2769, 13700, 21664, 1585, 1378, 1227, 10323, 2360, 9323, 1167, 5474, 2093, 3681, 4354, 1125, 21086, 186, 11868, 1568, 8472, 4354, 10709, 9665, 1186, 488, 125, 123, 124, 131, 4196, 30181, 8877, 1369, 8472, 4354, 1601, 1276, 4437, 32001, 1424, 32000, 20036, 2895, 14212, 11990, 1257, 22086, 1126, 488, 124, 132, 127, 127, 120, 124, 132, 128, 132, 1299, 1189, 10323, 2360, 1125, 488, 124, 127, 8175, 19430, 6387, 1207, 488, 124, 128, 9881, 4092, 1125, 5735, 1125, 21086, 186, 11868, 24914, 9053, 1186, 488, 125, 123, 124, 131, 1215, 1207, 16801, 1643, 23789, 1941, 1167, 1158, 1204, 1657, 1808, 23371, 3425, 1541, 2004, 1913, 4435, 1234, 1167, 1170, 5167, 20305, 21664, 1585, 14169, 1167, 17502, 180, 11697, 19957, 22222, 1167, 21270, 1123, 1297, 1768, 10515, 1227, 3151, 23660, 1125, 25753, 8249, 1125, 1282, 13221, 28526, 1125, 21086, 186, 11868, 1568, 1388, 3159, 2742, 1194, 2101, 3409, 1424, 5294, 4521, 1257, 8220, 2466, 11868, 1568, 1673, 16703, 16959, 1320, 1480, 20611, 7699, 9523, 1904, 6646, 1257, 1306, 25819, 7219, 9591, 1175, 1292, 14206, 10323, 2360, 1496, 10935, 1165, 1242, 3174, 1306, 4691, 1157, 3378, 9941, 157, 3145, 17851, 1494, 17610, 2303, 1395, 172, 1104, 1175, 20508, 1180, 2350, 2360, 1496, 1352, 2531, 4732, 1217, 1112, 1210, 1175, 6502, 2923, 1496, 8559, 14970, 3561, 24187, 6868, 6565, 16855, 8738, 11202, 15558, 24979, 3174, 10935, 1165, 1242, 3174, 26417, 6522, 16081, 1285, 1306, 25819, 7219, 193, 3100, 15558, 13598, 1201, 5007, 6154, 8185, 1513, 1485, 1260, 8293, 1883, 1125, 12705, 1257, 8220, 2466, 11868, 24914, 16703, 16959, 1320, 1480, 1201, 17994, 1167, 8541, 106, 19182, 1262, 1173, 1146, 1333, 1659, 21086, 186, 11868, 24914, 1317, 2658, 1197, 7790, 1270, 4886, 1125, 488, 124, 132, 127, 127, 1188, 488, 124, 132, 128, 132, 119, 1548, 3335, 10645, 488, 125, 123, 2875, 488, 125, 123, 124, 131, 1155, 3699, 14861, 1452, 1517, 1200, 1757, 2114, 21086, 186, 11868, 1568, 1257, 6666, 1469, 1594, 8658, 8220, 2466, 1357, 8325, 1286, 1318, 16756, 22086, 1126, 1125, 1594, 6885, 1186, 488, 126, 10323, 2360, 1285, 10587, 4462, 119, 488, 128, 2822, 488, 125, 123, 124, 131, 1155, 1252, 5834, 1165, 3145, 11868, 1568, 2750, 4613, 2904, 2944, 1318, 4052, 3080, 7886, 119, 2576, 147, 6632, 4355, 488, 131, 2578, 488, 125, 123, 124, 131, 9994, 2624, 5825, 1424, 2769, 13700, 21664, 1585, 1378, 1227, 10323, 2360, 9323, 1167, 5474, 2093, 3681, 4354, 1125, 21086, 186, 11868, 1568, 8472, 4354, 10709, 9665, 1186, 488, 125, 123, 124, 131, 4196, 30181, 8877, 1369, 8472, 4354, 1601, 1276, 4437, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 14212, 11990, 1257, 22086, 1126, 488, 124, 132, 127, 127, 120, 124, 132, 128, 132, 1299, 1189, 10323, 2360, 1125, 488, 124, 127, 8175, 19430, 6387, 1207, 488, 124, 128, 9881, 4092, 1125, 5735, 1125, 21086, 186, 11868, 24914, 9053, 1186, 488, 125, 123, 124, 131, 1215, 1207, 16801, 1643, 23789, 1941, 1167, 1158, 1204, 1657, 1808, 23371, 3425, 1541, 2004, 1913, 4435, 1234, 1167, 1170, 5167, 20305, 21664, 1585, 14169, 1167, 17502, 180, 11697, 19957, 22222, 1167, 21270, 1123, 1297, 1768, 10515, 1227, 3151, 23660, 1125, 25753, 8249, 1125, 1282, 13221, 28526, 1125, 21086, 186, 11868, 1568, 1388, 3159, 2742, 1194, 2101, 3409, 1424, 5294, 4521, 1257, 8220, 2466, 11868, 1568, 1673, 16703, 16959, 1320, 1480, 20611, 7699, 9523, 1904, 6646, 1257, 1306, 25819, 7219, 9591, 1175, 1292, 14206, 10323, 2360, 1496, 10935, 1165, 1242, 3174, 1306, 4691, 1157, 3378, 9941, 157, 3145, 17851, 1494, 17610, 2303, 1395, 172, 1104, 1175, 20508, 1180, 2350, 2360, 1496, 1352, 2531, 4732, 1217, 1112, 1210, 1175, 6502, 2923, 1496, 8559, 14970, 3561, 24187, 6868, 6565, 16855, 8738, 11202, 15558, 24979, 3174, 10935, 1165, 1242, 3174, 26417, 6522, 16081, 1285, 1306, 25819, 7219, 193, 3100, 15558, 13598, 1201, 5007, 6154, 8185, 1513, 1485, 1260, 8293, 1883, 1125, 12705, 1257, 8220, 2466, 11868, 24914, 16703, 16959, 1320, 1480, 1201, 17994, 1167, 8541, 106, 19182, 1262, 1173, 1146, 1333, 1659, 21086, 186, 11868, 24914, 1317, 2658, 1197, 7790, 1270, 4886, 1125, 488, 124, 132, 127, 127, 1188, 488, 124, 132, 128, 132, 119, 1548, 3335, 10645, 488, 125, 123, 2875, 488, 125, 123, 124, 131, 1155, 3699, 14861, 1452, 1517, 1200, 1757, 2114, 21086, 186, 11868, 1568, 1257, 6666, 1469, 1594, 8658, 8220, 2466, 1357, 8325, 1286, 1318, 16756, 22086, 1126, 1125, 1594, 6885, 1186, 488, 126, 10323, 2360, 1285, 10587, 4462, 119, 488, 128, 2822, 488, 125, 123, 124, 131, 1155, 1252, 5834, 1165, 3145, 11868, 1568, 2750, 4613, 2904, 2944, 1318, 4052, 3080, 7886, 119, 2576, 147, 6632, 4355, 488, 131, 2578, 488, 125, 123, 124, 131, 9994, 2624, 5825, 1424, 2769, 13700, 21664, 1585, 1378, 1227, 10323, 2360, 9323, 1167, 5474, 2093, 3681, 4354, 1125, 21086, 186, 11868, 1568, 8472, 4354, 10709, 9665, 1186, 488, 125, 123, 124, 131, 4196, 30181, 8877, 1369, 8472, 4354, 1601, 1276, 4437, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 5623, 8276, 22998, 22572, 1299, 1318, 29283, 1125, 15142, 1125, 12029, 22998, 9005, 3247, 1227, 16277, 1227, 2854, 1125, 12029, 22998, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 128, 119, 1167, 1186, 488, 125, 123, 125, 123, 1388, 2700, 2317, 9401, 1125, 1158, 4356, 3657, 1125, 1158, 2631, 178, 1180, 20689, 2620, 1170, 5623, 8276, 1125, 2631, 178, 1180, 20689, 1214, 1299, 1894, 10898, 1186, 488, 124, 132, 132, 124, 1167, 1299, 21119, 1215, 1440, 5623, 8276, 8370, 488, 124, 132, 132, 129, 119, 1440, 5623, 8276, 1299, 21119, 1215, 1170, 5623, 8276, 1125, 24388, 1245, 8370, 488, 125, 123, 125, 123, 119, 1158, 4235, 1299, 28754, 1317, 19325, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 119, 1170, 5623, 8276, 1281, 23408, 1300, 1170, 27701, 1125, 3728, 1419, 20876, 23288, 1198, 1351, 186, 12825, 5542, 29017, 8337, 1194, 161, 1262, 1244, 1392, 1227, 5623, 8276, 22998, 22572, 2093, 2940, 9494, 31096, 133, 1170, 2720, 7422, 1933, 1783, 1109, 1170, 18900, 2072, 2567, 4613, 2904, 1112, 1188, 11188, 119, 1186, 488, 126, 128, 123, 8630, 126, 1321, 1510, 8445, 7542, 9911, 488, 124, 132, 126, 125, 1718, 8036, 2072, 5532, 1354, 16718, 1424, 1306, 15376, 1227, 5623, 3248, 22998, 22572, 1300, 1170, 1865, 1248, 14046, 184, 2035, 186, 114, 32001, 1424, 32000, 20036, 2359, 5623, 8276, 22998, 22572, 1299, 1318, 29283, 1125, 15142, 1125, 12029, 22998, 9005, 3247, 1227, 16277, 1227, 2854, 1125, 12029, 22998, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 128, 119, 1167, 1186, 488, 125, 123, 125, 123, 1388, 2700, 2317, 9401, 1125, 1158, 4356, 3657, 1125, 1158, 2631, 178, 1180, 20689, 2620, 1170, 5623, 8276, 1125, 2631, 178, 1180, 20689, 1214, 1299, 1894, 10898, 1186, 488, 124, 132, 132, 124, 1167, 1299, 21119, 1215, 1440, 5623, 8276, 8370, 488, 124, 132, 132, 129, 119, 1440, 5623, 8276, 1299, 21119, 1215, 1170, 5623, 8276, 1125, 24388, 1245, 8370, 488, 125, 123, 125, 123, 119, 1158, 4235, 1299, 28754, 1317, 19325, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 119, 1170, 5623, 8276, 1281, 23408, 1300, 1170, 27701, 1125, 3728, 1419, 20876, 23288, 1198, 1351, 186, 12825, 5542, 29017, 8337, 1194, 161, 1262, 1244, 1392, 1227, 5623, 8276, 22998, 22572, 2093, 2940, 9494, 31096, 133, 1170, 2720, 7422, 1933, 1783, 1109, 1170, 18900, 2072, 2567, 4613, 2904, 1112, 1188, 11188, 119, 1186, 488, 126, 128, 123, 8630, 126, 1321, 1510, 8445, 7542, 9911, 488, 124, 132, 126, 125, 1718, 8036, 2072, 5532, 1354, 16718, 1424, 1306, 15376, 1227, 5623, 3248, 22998, 22572, 1300, 1170, 1865, 1248, 14046, 184, 2035, 186, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 5623, 8276, 22998, 22572, 1299, 1318, 29283, 1125, 15142, 1125, 12029, 22998, 9005, 3247, 1227, 16277, 1227, 2854, 1125, 12029, 22998, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 128, 119, 1167, 1186, 488, 125, 123, 125, 123, 1388, 2700, 2317, 9401, 1125, 1158, 4356, 3657, 1125, 1158, 2631, 178, 1180, 20689, 2620, 1170, 5623, 8276, 1125, 2631, 178, 1180, 20689, 1214, 1299, 1894, 10898, 1186, 488, 124, 132, 132, 124, 1167, 1299, 21119, 1215, 1440, 5623, 8276, 8370, 488, 124, 132, 132, 129, 119, 1440, 5623, 8276, 1299, 21119, 1215, 1170, 5623, 8276, 1125, 24388, 1245, 8370, 488, 125, 123, 125, 123, 119, 1158, 4235, 1299, 28754, 1317, 19325, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 119, 1170, 5623, 8276, 1281, 23408, 1300, 1170, 27701, 1125, 3728, 1419, 20876, 23288, 1198, 1351, 186, 12825, 5542, 29017, 8337, 1194, 161, 1262, 1244, 1392, 1227, 5623, 8276, 22998, 22572, 2093, 2940, 9494, 31096, 133, 1170, 2720, 7422, 1933, 1783, 1109, 1170, 18900, 2072, 2567, 4613, 2904, 1112, 1188, 11188, 119, 1186, 488, 126, 128, 123, 8630, 126, 1321, 1510, 8445, 7542, 9911, 488, 124, 132, 126, 125, 1718, 8036, 2072, 5532, 1354, 16718, 1424, 1306, 15376, 1227, 5623, 3248, 22998, 22572, 1300, 1170, 1865, 1248, 14046, 184, 2035, 186, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1495, 1120, 26404, 1383, 3476, 12497, 9037, 1916, 1231, 1125, 2315, 24638, 1186, 488, 125, 123, 124, 124, 119, 1191, 1134, 21960, 1594, 3151, 3694, 3781, 1313, 1158, 6964, 4077, 3665, 2892, 1388, 164, 1783, 2057, 1202, 1376, 1107, 2086, 12497, 9037, 1916, 1231, 1125, 2315, 1186, 23527, 1110, 31017, 1982, 1318, 19589, 3672, 1816, 6586, 22996, 10779, 2402, 1460, 1256, 1281, 9331, 5824, 1188, 1909, 22589, 1457, 1768, 1299, 2774, 3793, 1129, 1256, 1816, 15142, 5277, 121, 1768, 19830, 2960, 1189, 2879, 1408, 7959, 1594, 18033, 3805, 7222, 1197, 9973, 17718, 1125, 3497, 17055, 1388, 150, 1195, 8415, 1314, 1288, 13300, 1408, 1571, 4322, 19754, 1125, 6556, 4716, 12352, 1125, 3497, 4975, 1256, 1158, 3189, 4979, 1125, 3335, 19374, 1188, 3862, 1125, 1158, 6586, 488, 125, 123, 124, 123, 122, 125, 123, 124, 124, 10803, 10174, 1227, 5495, 16051, 10589, 26346, 8590, 1167, 23128, 1165, 180, 2136, 6058, 4202, 4341, 11835, 3342, 1288, 31389, 1382, 1188, 2008, 4322, 19754, 29637, 1158, 6964, 1197, 20972, 5774, 11212, 1158, 3497, 1314, 1632, 12674, 120, 3562, 1278, 1200, 2298, 2021, 8135, 9814, 1303, 1188, 1158, 1850, 6021, 1188, 1158, 10420, 2335, 20742, 17034, 2391, 1227, 5059, 2102, 1167, 1110, 10374, 1597, 3511, 5465, 9346, 3672, 3171, 20422, 3450, 1110, 18732, 9401, 1188, 22934, 1170, 5059, 121, 32001, 1424, 32000, 20036, 1720, 1495, 1120, 26404, 1383, 3476, 12497, 9037, 1916, 1231, 1125, 2315, 24638, 1186, 488, 125, 123, 124, 124, 119, 1191, 1134, 21960, 1594, 3151, 3694, 3781, 1313, 1158, 6964, 4077, 3665, 2892, 1388, 164, 1783, 2057, 1202, 1376, 1107, 2086, 12497, 9037, 1916, 1231, 1125, 2315, 1186, 23527, 1110, 31017, 1982, 1318, 19589, 3672, 1816, 6586, 22996, 10779, 2402, 1460, 1256, 1281, 9331, 5824, 1188, 1909, 22589, 1457, 1768, 1299, 2774, 3793, 1129, 1256, 1816, 15142, 5277, 121, 1768, 19830, 2960, 1189, 2879, 1408, 7959, 1594, 18033, 3805, 7222, 1197, 9973, 17718, 1125, 3497, 17055, 1388, 150, 1195, 8415, 1314, 1288, 13300, 1408, 1571, 4322, 19754, 1125, 6556, 4716, 12352, 1125, 3497, 4975, 1256, 1158, 3189, 4979, 1125, 3335, 19374, 1188, 3862, 1125, 1158, 6586, 488, 125, 123, 124, 123, 122, 125, 123, 124, 124, 10803, 10174, 1227, 5495, 16051, 10589, 26346, 8590, 1167, 23128, 1165, 180, 2136, 6058, 4202, 4341, 11835, 3342, 1288, 31389, 1382, 1188, 2008, 4322, 19754, 29637, 1158, 6964, 1197, 20972, 5774, 11212, 1158, 3497, 1314, 1632, 12674, 120, 3562, 1278, 1200, 2298, 2021, 8135, 9814, 1303, 1188, 1158, 1850, 6021, 1188, 1158, 10420, 2335, 20742, 17034, 2391, 1227, 5059, 2102, 1167, 1110, 10374, 1597, 3511, 5465, 9346, 3672, 3171, 20422, 3450, 1110, 18732, 9401, 1188, 22934, 1170, 5059, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 1495, 1120, 26404, 1383, 3476, 12497, 9037, 1916, 1231, 1125, 2315, 24638, 1186, 488, 125, 123, 124, 124, 119, 1191, 1134, 21960, 1594, 3151, 3694, 3781, 1313, 1158, 6964, 4077, 3665, 2892, 1388, 164, 1783, 2057, 1202, 1376, 1107, 2086, 12497, 9037, 1916, 1231, 1125, 2315, 1186, 23527, 1110, 31017, 1982, 1318, 19589, 3672, 1816, 6586, 22996, 10779, 2402, 1460, 1256, 1281, 9331, 5824, 1188, 1909, 22589, 1457, 1768, 1299, 2774, 3793, 1129, 1256, 1816, 15142, 5277, 121, 1768, 19830, 2960, 1189, 2879, 1408, 7959, 1594, 18033, 3805, 7222, 1197, 9973, 17718, 1125, 3497, 17055, 1388, 150, 1195, 8415, 1314, 1288, 13300, 1408, 1571, 4322, 19754, 1125, 6556, 4716, 12352, 1125, 3497, 4975, 1256, 1158, 3189, 4979, 1125, 3335, 19374, 1188, 3862, 1125, 1158, 6586, 488, 125, 123, 124, 123, 122, 125, 123, 124, 124, 10803, 10174, 1227, 5495, 16051, 10589, 26346, 8590, 1167, 23128, 1165, 180, 2136, 6058, 4202, 4341, 11835, 3342, 1288, 31389, 1382, 1188, 2008, 4322, 19754, 29637, 1158, 6964, 1197, 20972, 5774, 11212, 1158, 3497, 1314, 1632, 12674, 120, 3562, 1278, 1200, 2298, 2021, 8135, 9814, 1303, 1188, 1158, 1850, 6021, 1188, 1158, 10420, 2335, 20742, 17034, 2391, 1227, 5059, 2102, 1167, 1110, 10374, 1597, 3511, 5465, 9346, 3672, 3171, 20422, 3450, 1110, 18732, 9401, 1188, 22934, 1170, 5059, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 154, 2727, 488, 124, 132, 128, 132, 32001, 1424, 32000, 20036, 3052, 2727, 488, 124, 132, 128, 132, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3052, 2727, 488, 124, 132, 128, 132, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 4067, 173, 1299, 1318, 4813, 18501, 3701, 10019, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 1810, 1188, 14097, 12925, 1227, 19105, 2631, 173, 1299, 10019, 1188, 488, 125, 128, 7275, 1188, 29487, 1227, 6513, 2992, 2466, 1125, 1144, 1142, 16390, 1167, 2803, 3997, 488, 124, 128, 488, 123, 123, 123, 11411, 29830, 22195, 3833, 1194, 3562, 4813, 1522, 2845, 1170, 1865, 2260, 179, 15376, 1125, 6763, 197, 1961, 3603, 1357, 10845, 1189, 18253, 14399, 1186, 31802, 7552, 7662, 19640, 1955, 1274, 3655, 2399, 2515, 1370, 1170, 1874, 1125, 27398, 7198, 7658, 1167, 2750, 19640, 22746, 2399, 3618, 1170, 1874, 17933, 2759, 121, 6053, 1318, 3734, 18812, 6530, 12057, 10019, 1313, 1318, 6233, 23672, 17966, 30393, 1158, 6545, 10015, 30442, 2794, 1197, 4092, 488, 124, 132, 132, 123, 119, 3713, 6111, 3379, 1701, 1197, 9355, 18501, 2137, 1125, 1158, 3734, 1125, 1173, 5363, 3708, 1167, 2076, 1125, 1173, 9071, 2687, 1140, 120, 11756, 1467, 2004, 1131, 1670, 2770, 20022, 1256, 8432, 1313, 1158, 4813, 1125, 2631, 8301, 3350, 7328, 10125, 119, 1207, 15544, 1508, 2377, 1473, 2130, 22802, 1188, 2770, 4685, 1285, 1906, 8989, 24479, 10917, 244, 1197, 19670, 1125, 15263, 1256, 6741, 18482, 2770, 5736, 6530, 1172, 1457, 1653, 488, 125, 123, 124, 132, 119, 1318, 3247, 1125, 1158, 13996, 1125, 1173, 9071, 10341, 16018, 10019, 1313, 1158, 29689, 1110, 1913, 13210, 28763, 1215, 1189, 3283, 3000, 23329, 8732, 7849, 3608, 12006, 1720, 2240, 26213, 1204, 1261, 1105, 1175, 124, 132, 124, 123, 120, 124, 132, 127, 131, 1496, 1282, 207, 4254, 1517, 1767, 1632, 1125, 27398, 7198, 1190, 1524, 2166, 26170, 18320, 1186, 488, 124, 132, 127, 131, 1188, 1173, 9071, 5371, 3991, 173, 1467, 24890, 1194, 11633, 1515, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 2036, 32001, 1424, 32000, 20036, 21800, 173, 1299, 1318, 4813, 18501, 3701, 10019, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 1810, 1188, 14097, 12925, 1227, 19105, 2631, 173, 1299, 10019, 1188, 488, 125, 128, 7275, 1188, 29487, 1227, 6513, 2992, 2466, 1125, 1144, 1142, 16390, 1167, 2803, 3997, 488, 124, 128, 488, 123, 123, 123, 11411, 29830, 22195, 3833, 1194, 3562, 4813, 1522, 2845, 1170, 1865, 2260, 179, 15376, 1125, 6763, 197, 1961, 3603, 1357, 10845, 1189, 18253, 14399, 1186, 31802, 7552, 7662, 19640, 1955, 1274, 3655, 2399, 2515, 1370, 1170, 1874, 1125, 27398, 7198, 7658, 1167, 2750, 19640, 22746, 2399, 3618, 1170, 1874, 17933, 2759, 121, 6053, 1318, 3734, 18812, 6530, 12057, 10019, 1313, 1318, 6233, 23672, 17966, 30393, 1158, 6545, 10015, 30442, 2794, 1197, 4092, 488, 124, 132, 132, 123, 119, 3713, 6111, 3379, 1701, 1197, 9355, 18501, 2137, 1125, 1158, 3734, 1125, 1173, 5363, 3708, 1167, 2076, 1125, 1173, 9071, 2687, 1140, 120, 11756, 1467, 2004, 1131, 1670, 2770, 20022, 1256, 8432, 1313, 1158, 4813, 1125, 2631, 8301, 3350, 7328, 10125, 119, 1207, 15544, 1508, 2377, 1473, 2130, 22802, 1188, 2770, 4685, 1285, 1906, 8989, 24479, 10917, 244, 1197, 19670, 1125, 15263, 1256, 6741, 18482, 2770, 5736, 6530, 1172, 1457, 1653, 488, 125, 123, 124, 132, 119, 1318, 3247, 1125, 1158, 13996, 1125, 1173, 9071, 10341, 16018, 10019, 1313, 1158, 29689, 1110, 1913, 13210, 28763, 1215, 1189, 3283, 3000, 23329, 8732, 7849, 3608, 12006, 1720, 2240, 26213, 1204, 1261, 1105, 1175, 124, 132, 124, 123, 120, 124, 132, 127, 131, 1496, 1282, 207, 4254, 1517, 1767, 1632, 1125, 27398, 7198, 1190, 1524, 2166, 26170, 18320, 1186, 488, 124, 132, 127, 131, 1188, 1173, 9071, 5371, 3991, 173, 1467, 24890, 1194, 11633, 1515, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 2036, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21800, 173, 1299, 1318, 4813, 18501, 3701, 10019, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 1810, 1188, 14097, 12925, 1227, 19105, 2631, 173, 1299, 10019, 1188, 488, 125, 128, 7275, 1188, 29487, 1227, 6513, 2992, 2466, 1125, 1144, 1142, 16390, 1167, 2803, 3997, 488, 124, 128, 488, 123, 123, 123, 11411, 29830, 22195, 3833, 1194, 3562, 4813, 1522, 2845, 1170, 1865, 2260, 179, 15376, 1125, 6763, 197, 1961, 3603, 1357, 10845, 1189, 18253, 14399, 1186, 31802, 7552, 7662, 19640, 1955, 1274, 3655, 2399, 2515, 1370, 1170, 1874, 1125, 27398, 7198, 7658, 1167, 2750, 19640, 22746, 2399, 3618, 1170, 1874, 17933, 2759, 121, 6053, 1318, 3734, 18812, 6530, 12057, 10019, 1313, 1318, 6233, 23672, 17966, 30393, 1158, 6545, 10015, 30442, 2794, 1197, 4092, 488, 124, 132, 132, 123, 119, 3713, 6111, 3379, 1701, 1197, 9355, 18501, 2137, 1125, 1158, 3734, 1125, 1173, 5363, 3708, 1167, 2076, 1125, 1173, 9071, 2687, 1140, 120, 11756, 1467, 2004, 1131, 1670, 2770, 20022, 1256, 8432, 1313, 1158, 4813, 1125, 2631, 8301, 3350, 7328, 10125, 119, 1207, 15544, 1508, 2377, 1473, 2130, 22802, 1188, 2770, 4685, 1285, 1906, 8989, 24479, 10917, 244, 1197, 19670, 1125, 15263, 1256, 6741, 18482, 2770, 5736, 6530, 1172, 1457, 1653, 488, 125, 123, 124, 132, 119, 1318, 3247, 1125, 1158, 13996, 1125, 1173, 9071, 10341, 16018, 10019, 1313, 1158, 29689, 1110, 1913, 13210, 28763, 1215, 1189, 3283, 3000, 23329, 8732, 7849, 3608, 12006, 1720, 2240, 26213, 1204, 1261, 1105, 1175, 124, 132, 124, 123, 120, 124, 132, 127, 131, 1496, 1282, 207, 4254, 1517, 1767, 1632, 1125, 27398, 7198, 1190, 1524, 2166, 26170, 18320, 1186, 488, 124, 132, 127, 131, 1188, 1173, 9071, 5371, 3991, 173, 1467, 24890, 1194, 11633, 1515, 1313, 1158, 1144, 1142, 16390, 1125, 1173, 5363, 175, 2036, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 10791, 13337, 1125, 30844, 17192, 1299, 1189, 13337, 2720, 8446, 1188, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1313, 1170, 5927, 1227, 13051, 191, 1186, 3734, 6508, 120, 2628, 1125, 13051, 29830, 30419, 13337, 1299, 8446, 1317, 488, 125, 1125, 1158, 5820, 1227, 28067, 1405, 21735, 1206, 11687, 1292, 4748, 1313, 1170, 4779, 1125, 1158, 4813, 1125, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1188, 3997, 488, 128, 123, 13061, 24950, 5815, 119, 1188, 11793, 1125, 1158, 5646, 5927, 1366, 488, 129, 123, 119, 1313, 1158, 3734, 13219, 1227, 3728, 1125, 13051, 20481, 2576, 9306, 2827, 1364, 1423, 1136, 2038, 1125, 1282, 11756, 11883, 1125, 1252, 3909, 1762, 1253, 1738, 244, 1186, 488, 124, 129, 129, 124, 1215, 1282, 23821, 15357, 21965, 3984, 187, 1655, 1107, 1313, 1282, 4938, 1468, 1125, 1158, 2306, 1142, 3725, 1299, 21577, 1215, 1170, 11535, 1227, 13337, 1125, 30844, 17192, 1170, 488, 124, 128, 1557, 1285, 1256, 23906, 2379, 14765, 1125, 1909, 1638, 1475, 1457, 1768, 1299, 1501, 1512, 1389, 1167, 23164, 244, 5551, 1170, 7144, 1127, 1550, 175, 13055, 1227, 13835, 1206, 1595, 1125, 1158, 2306, 1142, 3725, 1186, 488, 124, 132, 125, 126, 31070, 26851, 19565, 1170, 13337, 1197, 30844, 17192, 1299, 1158, 9855, 1125, 1158, 4446, 6046, 2944, 15069, 1125, 6141, 121, 4466, 1375, 2234, 1125, 1158, 4813, 1508, 1197, 11406, 1147, 4721, 1227, 2958, 24438, 8605, 29259, 1167, 18866, 8559, 20330, 1357, 1299, 19357, 3672, 488, 124, 131, 2165, 15593, 1469, 5924, 2183, 1207, 5898, 5746, 1317, 13337, 29227, 1808, 20767, 1112, 1525, 1197, 14250, 1167, 1197, 26712, 1508, 1329, 14006, 1125, 21359, 30355, 1548, 1270, 5190, 7011, 2301, 2357, 4249, 1382, 10193, 1188, 1158, 4808, 11488, 1167, 20117, 2072, 17994, 1194, 1388, 10026, 11052, 5532, 2038, 1197, 1270, 28669, 1227, 13051, 191, 1194, 2330, 8033, 1313, 1170, 13051, 191, 3728, 1125, 13051, 3281, 3551, 19505, 19877, 8021, 4101, 1941, 32001, 1424, 32000, 20036, 2359, 13337, 1125, 30844, 17192, 1299, 1189, 13337, 2720, 8446, 1188, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1313, 1170, 5927, 1227, 13051, 191, 1186, 3734, 6508, 120, 2628, 1125, 13051, 29830, 30419, 13337, 1299, 8446, 1317, 488, 125, 1125, 1158, 5820, 1227, 28067, 1405, 21735, 1206, 11687, 1292, 4748, 1313, 1170, 4779, 1125, 1158, 4813, 1125, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1188, 3997, 488, 128, 123, 13061, 24950, 5815, 119, 1188, 11793, 1125, 1158, 5646, 5927, 1366, 488, 129, 123, 119, 1313, 1158, 3734, 13219, 1227, 3728, 1125, 13051, 20481, 2576, 9306, 2827, 1364, 1423, 1136, 2038, 1125, 1282, 11756, 11883, 1125, 1252, 3909, 1762, 1253, 1738, 244, 1186, 488, 124, 129, 129, 124, 1215, 1282, 23821, 15357, 21965, 3984, 187, 1655, 1107, 1313, 1282, 4938, 1468, 1125, 1158, 2306, 1142, 3725, 1299, 21577, 1215, 1170, 11535, 1227, 13337, 1125, 30844, 17192, 1170, 488, 124, 128, 1557, 1285, 1256, 23906, 2379, 14765, 1125, 1909, 1638, 1475, 1457, 1768, 1299, 1501, 1512, 1389, 1167, 23164, 244, 5551, 1170, 7144, 1127, 1550, 175, 13055, 1227, 13835, 1206, 1595, 1125, 1158, 2306, 1142, 3725, 1186, 488, 124, 132, 125, 126, 31070, 26851, 19565, 1170, 13337, 1197, 30844, 17192, 1299, 1158, 9855, 1125, 1158, 4446, 6046, 2944, 15069, 1125, 6141, 121, 4466, 1375, 2234, 1125, 1158, 4813, 1508, 1197, 11406, 1147, 4721, 1227, 2958, 24438, 8605, 29259, 1167, 18866, 8559, 20330, 1357, 1299, 19357, 3672, 488, 124, 131, 2165, 15593, 1469, 5924, 2183, 1207, 5898, 5746, 1317, 13337, 29227, 1808, 20767, 1112, 1525, 1197, 14250, 1167, 1197, 26712, 1508, 1329, 14006, 1125, 21359, 30355, 1548, 1270, 5190, 7011, 2301, 2357, 4249, 1382, 10193, 1188, 1158, 4808, 11488, 1167, 20117, 2072, 17994, 1194, 1388, 10026, 11052, 5532, 2038, 1197, 1270, 28669, 1227, 13051, 191, 1194, 2330, 8033, 1313, 1170, 13051, 191, 3728, 1125, 13051, 3281, 3551, 19505, 19877, 8021, 4101, 1941, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2359, 13337, 1125, 30844, 17192, 1299, 1189, 13337, 2720, 8446, 1188, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1313, 1170, 5927, 1227, 13051, 191, 1186, 3734, 6508, 120, 2628, 1125, 13051, 29830, 30419, 13337, 1299, 8446, 1317, 488, 125, 1125, 1158, 5820, 1227, 28067, 1405, 21735, 1206, 11687, 1292, 4748, 1313, 1170, 4779, 1125, 1158, 4813, 1125, 3281, 3551, 19505, 19877, 8021, 4101, 17433, 1188, 3997, 488, 128, 123, 13061, 24950, 5815, 119, 1188, 11793, 1125, 1158, 5646, 5927, 1366, 488, 129, 123, 119, 1313, 1158, 3734, 13219, 1227, 3728, 1125, 13051, 20481, 2576, 9306, 2827, 1364, 1423, 1136, 2038, 1125, 1282, 11756, 11883, 1125, 1252, 3909, 1762, 1253, 1738, 244, 1186, 488, 124, 129, 129, 124, 1215, 1282, 23821, 15357, 21965, 3984, 187, 1655, 1107, 1313, 1282, 4938, 1468, 1125, 1158, 2306, 1142, 3725, 1299, 21577, 1215, 1170, 11535, 1227, 13337, 1125, 30844, 17192, 1170, 488, 124, 128, 1557, 1285, 1256, 23906, 2379, 14765, 1125, 1909, 1638, 1475, 1457, 1768, 1299, 1501, 1512, 1389, 1167, 23164, 244, 5551, 1170, 7144, 1127, 1550, 175, 13055, 1227, 13835, 1206, 1595, 1125, 1158, 2306, 1142, 3725, 1186, 488, 124, 132, 125, 126, 31070, 26851, 19565, 1170, 13337, 1197, 30844, 17192, 1299, 1158, 9855, 1125, 1158, 4446, 6046, 2944, 15069, 1125, 6141, 121, 4466, 1375, 2234, 1125, 1158, 4813, 1508, 1197, 11406, 1147, 4721, 1227, 2958, 24438, 8605, 29259, 1167, 18866, 8559, 20330, 1357, 1299, 19357, 3672, 488, 124, 131, 2165, 15593, 1469, 5924, 2183, 1207, 5898, 5746, 1317, 13337, 29227, 1808, 20767, 1112, 1525, 1197, 14250, 1167, 1197, 26712, 1508, 1329, 14006, 1125, 21359, 30355, 1548, 1270, 5190, 7011, 2301, 2357, 4249, 1382, 10193, 1188, 1158, 4808, 11488, 1167, 20117, 2072, 17994, 1194, 1388, 10026, 11052, 5532, 2038, 1197, 1270, 28669, 1227, 13051, 191, 1194, 2330, 8033, 1313, 1170, 13051, 191, 3728, 1125, 13051, 3281, 3551, 19505, 19877, 8021, 4101, 1941, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 151, 235, 2585, 1313, 1129, 1207, 19262, 114, 1175, 1117, 1373, 5379, 1257, 1222, 1336, 9271, 1161, 1135, 20445, 116, 1299, 1189, 7808, 7334, 1374, 1125, 18584, 1306, 3579, 1712, 23332, 1186, 488, 124, 132, 130, 126, 121, 6053, 1170, 6311, 7808, 2585, 8017, 1170, 14514, 1125, 14281, 1548, 12256, 2589, 22341, 1234, 11125, 2359, 6018, 8471, 22559, 186, 1165, 1514, 3233, 9571, 1170, 6315, 1125, 2460, 1203, 2554, 1123, 1349, 119, 1170, 8056, 1227, 4390, 4353, 1313, 1318, 12494, 25451, 26817, 1197, 4993, 1462, 18895, 252, 3266, 1768, 4715, 1189, 1498, 1519, 3382, 1357, 1915, 1823, 6590, 1215, 1207, 3413, 3392, 2487, 1527, 4249, 8563, 1856, 1318, 2680, 1740, 4259, 1167, 1170, 12368, 2519, 4541, 12494, 121, 1548, 16128, 184, 5485, 1594, 11637, 9605, 15125, 4487, 190, 21180, 19543, 15906, 119, 2750, 2782, 22386, 1980, 144, 189, 22559, 186, 4249, 1382, 4410, 121, 1548, 6513, 1125, 1158, 5855, 18895, 252, 180, 7307, 1134, 172, 2694, 2368, 31185, 1125, 18173, 8471, 22559, 2086, 11781, 1309, 14281, 1548, 12256, 2589, 1299, 10502, 1125, 8182, 9605, 121, 1814, 2429, 1735, 173, 1456, 244, 1125, 9701, 119, 1188, 1282, 24662, 1125, 6666, 1197, 2069, 30615, 1299, 1170, 2151, 1125, 7882, 1125, 16135, 8622, 1388, 4929, 1467, 1125, 1158, 4685, 1125, 1158, 15125, 4487, 1285, 1548, 12256, 2589, 24935, 1125, 1165, 1168, 6152, 1170, 15722, 3482, 1130, 1125, 4189, 1121, 4780, 1309, 1440, 4755, 1131, 5173, 1370, 1170, 1498, 1519, 1109, 2036, 1165, 1168, 1142, 2690, 1309, 8471, 22559, 186, 3618, 3035, 244, 1197, 1114, 1399, 195, 1300, 1189, 1865, 1125, 10719, 3023, 24815, 1737, 10772, 1548, 12256, 2589, 1597, 29046, 31233, 3122, 172, 21879, 1357, 9900, 1571, 10719, 3023, 2290, 12799, 1468, 1227, 13787, 1863, 1869, 2066, 1285, 5598, 1125, 3189, 1346, 1357, 14677, 1188, 3122, 172, 21879, 1125, 3775, 1561, 5715, 28090, 17599, 7821, 1313, 1170, 29877, 1227, 7735, 1856, 1527, 1110, 14677, 1207, 8936, 1188, 8471, 22559, 186, 1167, 9605, 3458, 3617, 1408, 15906, 121, 5806, 5101, 2357, 1863, 1869, 31286, 1139, 1214, 1667, 3035, 1300, 1170, 7735, 23481, 1188, 1440, 1309, 1165, 1168, 1142, 1110, 3598, 3502, 1768, 6666, 17599, 7821, 1357, 20978, 1309, 9605, 3618, 13000, 1125, 6334, 5123, 121, 1548, 7334, 1374, 13488, 29046, 1300, 1282, 4938, 2203, 1313, 1158, 14352, 18895, 252, 3266, 4608, 2008, 1835, 8841, 1346, 1170, 5773, 2130, 2492, 6348, 189, 22559, 186, 1299, 29564, 8732, 1141, 1134, 172, 2694, 1167, 1158, 4446, 6348, 189, 22559, 186, 1275, 1213, 2089, 1170, 5773, 1125, 1282, 6118, 2851, 11781, 1309, 1548, 12256, 2589, 24175, 1207, 8936, 3143, 1125, 6469, 2327, 1170, 13026, 1167, 1170, 22705, 1251, 2004, 1913, 15703, 4413, 6982, 1282, 1129, 4260, 2121, 1548, 12256, 2589, 11680, 1165, 1168, 1142, 1188, 1158, 5601, 7962, 2645, 8012, 8508, 1125, 3631, 1469, 17599, 1119, 6664, 1167, 24935, 1309, 9605, 3031, 1188, 1158, 3370, 2519, 5402, 4986, 2335, 3601, 5751, 12432, 1336, 8155, 12256, 2589, 5909, 17599, 7821, 1186, 28264, 17620, 121, 28745, 119, 3342, 16552, 1158, 20740, 1227, 14018, 1125, 4189, 1121, 4780, 2648, 2335, 4263, 177, 30893, 1256, 1594, 2762, 6631, 4608, 3219, 7735, 3342, 1826, 27764, 1207, 4254, 1112, 11137, 1125, 1127, 1237, 1322, 1554, 1167, 28617, 1129, 1215, 1170, 1685, 6494, 1160, 15166, 3365, 10515, 4410, 1125, 18025, 16386, 6348, 189, 22559, 2086, 2487, 1527, 1971, 1314, 7030, 1282, 13945, 121, 1548, 7334, 1374, 1915, 4605, 1170, 4271, 6696, 1304, 7549, 1125, 1139, 7325, 2567, 1309, 1440, 1111, 5984, 1288, 1497, 1567, 1189, 3419, 27243, 1373, 1617, 1194, 2951, 1310, 2344, 1837, 1227, 7808, 2359, 7808, 1281, 18381, 1313, 1170, 6455, 9081, 12925, 8403, 8732, 30550, 1207, 18711, 1227, 8605, 3100, 1158, 14352, 18895, 252, 180, 1167, 4428, 1180, 1401, 1348, 1835, 1266, 4424, 181, 1180, 1167, 2397, 192, 252, 1120, 24962, 1974, 5964, 2359, 7808, 1299, 9053, 1186, 2720, 1313, 1158, 4405, 21308, 1741, 19072, 21588, 1186, 488, 124, 132, 131, 129, 8732, 3303, 1167, 1166, 1767, 1392, 1489, 235, 2585, 1313, 1129, 1207, 19262, 18900, 1170, 3248, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 1186, 488, 124, 132, 130, 127, 121, 1768, 18764, 1186, 2315, 1170, 5623, 3248, 1125, 14580, 7334, 1774, 1227, 6005, 7808, 6771, 3711, 488, 124, 132, 131, 130, 121, 26655, 2585, 1313, 1129, 1207, 19262, 27254, 2072, 1158, 488, 1317, 14408, 1197, 2630, 8199, 9337, 7334, 2007, 1125, 2183, 1207, 2658, 13342, 1186, 488, 124, 132, 132, 128, 1215, 19732, 1197, 25723, 16023, 18136, 1201, 1161, 10123, 1388, 11333, 5888, 176, 2608, 2630, 8199, 29397, 7334, 2007, 1125, 2183, 1207, 2658, 24281, 3841, 1125, 18584, 1306, 3579, 1712, 12047, 7334, 1374, 8403, 12047, 8403, 23332, 1186, 488, 124, 132, 130, 126, 12047, 1281, 8866, 11953, 1317, 20835, 3046, 1398, 1460, 12047, 1281, 8866, 11953, 1186, 30968, 8276, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 488, 124, 132, 130, 126, 1186, 14580, 7334, 1774, 1350, 2886, 3277, 9053, 1313, 1158, 4405, 21308, 1741, 19072, 1445, 5623, 3248, 1125, 14580, 7334, 1774, 1175, 3511, 1220, 18539, 116, 32001, 1424, 32000, 20036, 24623, 151, 235, 2585, 1313, 1129, 1207, 19262, 114, 1175, 1117, 1373, 5379, 1257, 1222, 1336, 9271, 1161, 1135, 20445, 116, 1299, 1189, 7808, 7334, 1374, 1125, 18584, 1306, 3579, 1712, 23332, 1186, 488, 124, 132, 130, 126, 121, 6053, 1170, 6311, 7808, 2585, 8017, 1170, 14514, 1125, 14281, 1548, 12256, 2589, 22341, 1234, 11125, 2359, 6018, 8471, 22559, 186, 1165, 1514, 3233, 9571, 1170, 6315, 1125, 2460, 1203, 2554, 1123, 1349, 119, 1170, 8056, 1227, 4390, 4353, 1313, 1318, 12494, 25451, 26817, 1197, 4993, 1462, 18895, 252, 3266, 1768, 4715, 1189, 1498, 1519, 3382, 1357, 1915, 1823, 6590, 1215, 1207, 3413, 3392, 2487, 1527, 4249, 8563, 1856, 1318, 2680, 1740, 4259, 1167, 1170, 12368, 2519, 4541, 12494, 121, 1548, 16128, 184, 5485, 1594, 11637, 9605, 15125, 4487, 190, 21180, 19543, 15906, 119, 2750, 2782, 22386, 1980, 144, 189, 22559, 186, 4249, 1382, 4410, 121, 1548, 6513, 1125, 1158, 5855, 18895, 252, 180, 7307, 1134, 172, 2694, 2368, 31185, 1125, 18173, 8471, 22559, 2086, 11781, 1309, 14281, 1548, 12256, 2589, 1299, 10502, 1125, 8182, 9605, 121, 1814, 2429, 1735, 173, 1456, 244, 1125, 9701, 119, 1188, 1282, 24662, 1125, 6666, 1197, 2069, 30615, 1299, 1170, 2151, 1125, 7882, 1125, 16135, 8622, 1388, 4929, 1467, 1125, 1158, 4685, 1125, 1158, 15125, 4487, 1285, 1548, 12256, 2589, 24935, 1125, 1165, 1168, 6152, 1170, 15722, 3482, 1130, 1125, 4189, 1121, 4780, 1309, 1440, 4755, 1131, 5173, 1370, 1170, 1498, 1519, 1109, 2036, 1165, 1168, 1142, 2690, 1309, 8471, 22559, 186, 3618, 3035, 244, 1197, 1114, 1399, 195, 1300, 1189, 1865, 1125, 10719, 3023, 24815, 1737, 10772, 1548, 12256, 2589, 1597, 29046, 31233, 3122, 172, 21879, 1357, 9900, 1571, 10719, 3023, 2290, 12799, 1468, 1227, 13787, 1863, 1869, 2066, 1285, 5598, 1125, 3189, 1346, 1357, 14677, 1188, 3122, 172, 21879, 1125, 3775, 1561, 5715, 28090, 17599, 7821, 1313, 1170, 29877, 1227, 7735, 1856, 1527, 1110, 14677, 1207, 8936, 1188, 8471, 22559, 186, 1167, 9605, 3458, 3617, 1408, 15906, 121, 5806, 5101, 2357, 1863, 1869, 31286, 1139, 1214, 1667, 3035, 1300, 1170, 7735, 23481, 1188, 1440, 1309, 1165, 1168, 1142, 1110, 3598, 3502, 1768, 6666, 17599, 7821, 1357, 20978, 1309, 9605, 3618, 13000, 1125, 6334, 5123, 121, 1548, 7334, 1374, 13488, 29046, 1300, 1282, 4938, 2203, 1313, 1158, 14352, 18895, 252, 3266, 4608, 2008, 1835, 8841, 1346, 1170, 5773, 2130, 2492, 6348, 189, 22559, 186, 1299, 29564, 8732, 1141, 1134, 172, 2694, 1167, 1158, 4446, 6348, 189, 22559, 186, 1275, 1213, 2089, 1170, 5773, 1125, 1282, 6118, 2851, 11781, 1309, 1548, 12256, 2589, 24175, 1207, 8936, 3143, 1125, 6469, 2327, 1170, 13026, 1167, 1170, 22705, 1251, 2004, 1913, 15703, 4413, 6982, 1282, 1129, 4260, 2121, 1548, 12256, 2589, 11680, 1165, 1168, 1142, 1188, 1158, 5601, 7962, 2645, 8012, 8508, 1125, 3631, 1469, 17599, 1119, 6664, 1167, 24935, 1309, 9605, 3031, 1188, 1158, 3370, 2519, 5402, 4986, 2335, 3601, 5751, 12432, 1336, 8155, 12256, 2589, 5909, 17599, 7821, 1186, 28264, 17620, 121, 28745, 119, 3342, 16552, 1158, 20740, 1227, 14018, 1125, 4189, 1121, 4780, 2648, 2335, 4263, 177, 30893, 1256, 1594, 2762, 6631, 4608, 3219, 7735, 3342, 1826, 27764, 1207, 4254, 1112, 11137, 1125, 1127, 1237, 1322, 1554, 1167, 28617, 1129, 1215, 1170, 1685, 6494, 1160, 15166, 3365, 10515, 4410, 1125, 18025, 16386, 6348, 189, 22559, 2086, 2487, 1527, 1971, 1314, 7030, 1282, 13945, 121, 1548, 7334, 1374, 1915, 4605, 1170, 4271, 6696, 1304, 7549, 1125, 1139, 7325, 2567, 1309, 1440, 1111, 5984, 1288, 1497, 1567, 1189, 3419, 27243, 1373, 1617, 1194, 2951, 1310, 2344, 1837, 1227, 7808, 2359, 7808, 1281, 18381, 1313, 1170, 6455, 9081, 12925, 8403, 8732, 30550, 1207, 18711, 1227, 8605, 3100, 1158, 14352, 18895, 252, 180, 1167, 4428, 1180, 1401, 1348, 1835, 1266, 4424, 181, 1180, 1167, 2397, 192, 252, 1120, 24962, 1974, 5964, 2359, 7808, 1299, 9053, 1186, 2720, 1313, 1158, 4405, 21308, 1741, 19072, 21588, 1186, 488, 124, 132, 131, 129, 8732, 3303, 1167, 1166, 1767, 1392, 1489, 235, 2585, 1313, 1129, 1207, 19262, 18900, 1170, 3248, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 1186, 488, 124, 132, 130, 127, 121, 1768, 18764, 1186, 2315, 1170, 5623, 3248, 1125, 14580, 7334, 1774, 1227, 6005, 7808, 6771, 3711, 488, 124, 132, 131, 130, 121, 26655, 2585, 1313, 1129, 1207, 19262, 27254, 2072, 1158, 488, 1317, 14408, 1197, 2630, 8199, 9337, 7334, 2007, 1125, 2183, 1207, 2658, 13342, 1186, 488, 124, 132, 132, 128, 1215, 19732, 1197, 25723, 16023, 18136, 1201, 1161, 10123, 1388, 11333, 5888, 176, 2608, 2630, 8199, 29397, 7334, 2007, 1125, 2183, 1207, 2658, 24281, 3841, 1125, 18584, 1306, 3579, 1712, 12047, 7334, 1374, 8403, 12047, 8403, 23332, 1186, 488, 124, 132, 130, 126, 12047, 1281, 8866, 11953, 1317, 20835, 3046, 1398, 1460, 12047, 1281, 8866, 11953, 1186, 30968, 8276, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 488, 124, 132, 130, 126, 1186, 14580, 7334, 1774, 1350, 2886, 3277, 9053, 1313, 1158, 4405, 21308, 1741, 19072, 1445, 5623, 3248, 1125, 14580, 7334, 1774, 1175, 3511, 1220, 18539, 116, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 151, 235, 2585, 1313, 1129, 1207, 19262, 114, 1175, 1117, 1373, 5379, 1257, 1222, 1336, 9271, 1161, 1135, 20445, 116, 1299, 1189, 7808, 7334, 1374, 1125, 18584, 1306, 3579, 1712, 23332, 1186, 488, 124, 132, 130, 126, 121, 6053, 1170, 6311, 7808, 2585, 8017, 1170, 14514, 1125, 14281, 1548, 12256, 2589, 22341, 1234, 11125, 2359, 6018, 8471, 22559, 186, 1165, 1514, 3233, 9571, 1170, 6315, 1125, 2460, 1203, 2554, 1123, 1349, 119, 1170, 8056, 1227, 4390, 4353, 1313, 1318, 12494, 25451, 26817, 1197, 4993, 1462, 18895, 252, 3266, 1768, 4715, 1189, 1498, 1519, 3382, 1357, 1915, 1823, 6590, 1215, 1207, 3413, 3392, 2487, 1527, 4249, 8563, 1856, 1318, 2680, 1740, 4259, 1167, 1170, 12368, 2519, 4541, 12494, 121, 1548, 16128, 184, 5485, 1594, 11637, 9605, 15125, 4487, 190, 21180, 19543, 15906, 119, 2750, 2782, 22386, 1980, 144, 189, 22559, 186, 4249, 1382, 4410, 121, 1548, 6513, 1125, 1158, 5855, 18895, 252, 180, 7307, 1134, 172, 2694, 2368, 31185, 1125, 18173, 8471, 22559, 2086, 11781, 1309, 14281, 1548, 12256, 2589, 1299, 10502, 1125, 8182, 9605, 121, 1814, 2429, 1735, 173, 1456, 244, 1125, 9701, 119, 1188, 1282, 24662, 1125, 6666, 1197, 2069, 30615, 1299, 1170, 2151, 1125, 7882, 1125, 16135, 8622, 1388, 4929, 1467, 1125, 1158, 4685, 1125, 1158, 15125, 4487, 1285, 1548, 12256, 2589, 24935, 1125, 1165, 1168, 6152, 1170, 15722, 3482, 1130, 1125, 4189, 1121, 4780, 1309, 1440, 4755, 1131, 5173, 1370, 1170, 1498, 1519, 1109, 2036, 1165, 1168, 1142, 2690, 1309, 8471, 22559, 186, 3618, 3035, 244, 1197, 1114, 1399, 195, 1300, 1189, 1865, 1125, 10719, 3023, 24815, 1737, 10772, 1548, 12256, 2589, 1597, 29046, 31233, 3122, 172, 21879, 1357, 9900, 1571, 10719, 3023, 2290, 12799, 1468, 1227, 13787, 1863, 1869, 2066, 1285, 5598, 1125, 3189, 1346, 1357, 14677, 1188, 3122, 172, 21879, 1125, 3775, 1561, 5715, 28090, 17599, 7821, 1313, 1170, 29877, 1227, 7735, 1856, 1527, 1110, 14677, 1207, 8936, 1188, 8471, 22559, 186, 1167, 9605, 3458, 3617, 1408, 15906, 121, 5806, 5101, 2357, 1863, 1869, 31286, 1139, 1214, 1667, 3035, 1300, 1170, 7735, 23481, 1188, 1440, 1309, 1165, 1168, 1142, 1110, 3598, 3502, 1768, 6666, 17599, 7821, 1357, 20978, 1309, 9605, 3618, 13000, 1125, 6334, 5123, 121, 1548, 7334, 1374, 13488, 29046, 1300, 1282, 4938, 2203, 1313, 1158, 14352, 18895, 252, 3266, 4608, 2008, 1835, 8841, 1346, 1170, 5773, 2130, 2492, 6348, 189, 22559, 186, 1299, 29564, 8732, 1141, 1134, 172, 2694, 1167, 1158, 4446, 6348, 189, 22559, 186, 1275, 1213, 2089, 1170, 5773, 1125, 1282, 6118, 2851, 11781, 1309, 1548, 12256, 2589, 24175, 1207, 8936, 3143, 1125, 6469, 2327, 1170, 13026, 1167, 1170, 22705, 1251, 2004, 1913, 15703, 4413, 6982, 1282, 1129, 4260, 2121, 1548, 12256, 2589, 11680, 1165, 1168, 1142, 1188, 1158, 5601, 7962, 2645, 8012, 8508, 1125, 3631, 1469, 17599, 1119, 6664, 1167, 24935, 1309, 9605, 3031, 1188, 1158, 3370, 2519, 5402, 4986, 2335, 3601, 5751, 12432, 1336, 8155, 12256, 2589, 5909, 17599, 7821, 1186, 28264, 17620, 121, 28745, 119, 3342, 16552, 1158, 20740, 1227, 14018, 1125, 4189, 1121, 4780, 2648, 2335, 4263, 177, 30893, 1256, 1594, 2762, 6631, 4608, 3219, 7735, 3342, 1826, 27764, 1207, 4254, 1112, 11137, 1125, 1127, 1237, 1322, 1554, 1167, 28617, 1129, 1215, 1170, 1685, 6494, 1160, 15166, 3365, 10515, 4410, 1125, 18025, 16386, 6348, 189, 22559, 2086, 2487, 1527, 1971, 1314, 7030, 1282, 13945, 121, 1548, 7334, 1374, 1915, 4605, 1170, 4271, 6696, 1304, 7549, 1125, 1139, 7325, 2567, 1309, 1440, 1111, 5984, 1288, 1497, 1567, 1189, 3419, 27243, 1373, 1617, 1194, 2951, 1310, 2344, 1837, 1227, 7808, 2359, 7808, 1281, 18381, 1313, 1170, 6455, 9081, 12925, 8403, 8732, 30550, 1207, 18711, 1227, 8605, 3100, 1158, 14352, 18895, 252, 180, 1167, 4428, 1180, 1401, 1348, 1835, 1266, 4424, 181, 1180, 1167, 2397, 192, 252, 1120, 24962, 1974, 5964, 2359, 7808, 1299, 9053, 1186, 2720, 1313, 1158, 4405, 21308, 1741, 19072, 21588, 1186, 488, 124, 132, 131, 129, 8732, 3303, 1167, 1166, 1767, 1392, 1489, 235, 2585, 1313, 1129, 1207, 19262, 18900, 1170, 3248, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 1186, 488, 124, 132, 130, 127, 121, 1768, 18764, 1186, 2315, 1170, 5623, 3248, 1125, 14580, 7334, 1774, 1227, 6005, 7808, 6771, 3711, 488, 124, 132, 131, 130, 121, 26655, 2585, 1313, 1129, 1207, 19262, 27254, 2072, 1158, 488, 1317, 14408, 1197, 2630, 8199, 9337, 7334, 2007, 1125, 2183, 1207, 2658, 13342, 1186, 488, 124, 132, 132, 128, 1215, 19732, 1197, 25723, 16023, 18136, 1201, 1161, 10123, 1388, 11333, 5888, 176, 2608, 2630, 8199, 29397, 7334, 2007, 1125, 2183, 1207, 2658, 24281, 3841, 1125, 18584, 1306, 3579, 1712, 12047, 7334, 1374, 8403, 12047, 8403, 23332, 1186, 488, 124, 132, 130, 126, 12047, 1281, 8866, 11953, 1317, 20835, 3046, 1398, 1460, 12047, 1281, 8866, 11953, 1186, 30968, 8276, 5826, 8188, 4379, 1669, 1119, 3486, 4970, 1227, 6005, 7808, 488, 124, 132, 130, 126, 1186, 14580, 7334, 1774, 1350, 2886, 3277, 9053, 1313, 1158, 4405, 21308, 1741, 19072, 1445, 5623, 3248, 1125, 14580, 7334, 1774, 1175, 3511, 1220, 18539, 116, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 165, 1456, 186, 1175, 671, 116, 1299, 1318, 3837, 1227, 4779, 1125, 1158, 10660, 1227, 2460, 1265, 1510, 1186, 1539, 4994, 3450, 1110, 1913, 30647, 1186, 488, 124, 132, 127, 132, 1215, 1158, 14853, 1125, 2397, 1507, 15207, 1167, 1233, 9981, 1119, 1175, 2443, 1874, 1299, 19778, 1125, 1158, 3453, 2347, 1669, 13430, 1125, 2008, 2069, 11742, 1576, 1653, 488, 124, 132, 128, 127, 2399, 1110, 10256, 180, 25022, 1475, 28216, 1357, 1299, 18717, 2757, 1594, 4779, 12198, 121, 3450, 1299, 1225, 1255, 1140, 1303, 1469, 1643, 17449, 8021, 16720, 1105, 1186, 2315, 24962, 15051, 24368, 1158, 3453, 1711, 24265, 1227, 2460, 1265, 1510, 1167, 1189, 19846, 29473, 20581, 20031, 1300, 3871, 10004, 1227, 21285, 1167, 1300, 1170, 23308, 17055, 1227, 27636, 1125, 1233, 2562, 1558, 121, 2502, 1251, 5209, 1125, 6344, 19002, 9126, 6087, 1734, 3307, 28269, 2620, 4310, 1261, 1210, 12874, 11362, 5258, 119, 4105, 4280, 19096, 30079, 1522, 2845, 2445, 119, 1189, 29473, 5116, 22051, 26341, 1125, 11936, 1227, 2460, 1265, 1510, 29515, 488, 125, 123, 123, 128, 119, 1170, 1202, 4589, 3983, 1110, 1913, 1125, 488, 126, 131, 123, 13149, 1125, 1251, 192, 6963, 1167, 1170, 1202, 4589, 1215, 4393, 1199, 1125, 488, 126, 126, 488, 128, 123, 123, 1251, 192, 1220, 7745, 1287, 3533, 5629, 23926, 2895, 3837, 14161, 3401, 4306, 1125, 2397, 1456, 186, 27999, 1561, 21665, 1300, 14756, 1994, 3533, 5629, 1323, 7762, 8533, 21544, 1167, 3203, 2054, 2323, 2232, 1170, 10750, 1125, 25022, 1475, 28216, 1323, 488, 668, 25022, 264, 4317, 1331, 235, 185, 1787, 289, 2356, 1170, 10750, 1125, 12418, 17940, 1323, 488, 668, 1200, 27060, 197, 275, 1787, 289, 2356, 1170, 10750, 1125, 2397, 1507, 15207, 1323, 488, 668, 2397, 275, 1210, 192, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 1233, 9981, 1119, 1323, 488, 671, 750, 668, 1233, 254, 2393, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 25022, 12874, 1145, 1323, 488, 668, 25022, 280, 1308, 289, 185, 1787, 289, 2356, 1170, 2054, 2323, 1125, 1306, 9785, 1558, 1323, 488, 686, 675, 21740, 236, 8714, 236, 180, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1293, 7741, 188, 1149, 1323, 488, 1009, 675, 1293, 264, 186, 188, 275, 4317, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1671, 20728, 15207, 1323, 488, 870, 675, 1671, 248, 196, 192, 13096, 2271, 180, 235, 185, 1388, 149, 1255, 1140, 1741, 9323, 1167, 16828, 5825, 1194, 161, 1415, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 1628, 1287, 3533, 2159, 9533, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 32001, 1424, 32000, 20036, 16189, 1456, 186, 1175, 671, 116, 1299, 1318, 3837, 1227, 4779, 1125, 1158, 10660, 1227, 2460, 1265, 1510, 1186, 1539, 4994, 3450, 1110, 1913, 30647, 1186, 488, 124, 132, 127, 132, 1215, 1158, 14853, 1125, 2397, 1507, 15207, 1167, 1233, 9981, 1119, 1175, 2443, 1874, 1299, 19778, 1125, 1158, 3453, 2347, 1669, 13430, 1125, 2008, 2069, 11742, 1576, 1653, 488, 124, 132, 128, 127, 2399, 1110, 10256, 180, 25022, 1475, 28216, 1357, 1299, 18717, 2757, 1594, 4779, 12198, 121, 3450, 1299, 1225, 1255, 1140, 1303, 1469, 1643, 17449, 8021, 16720, 1105, 1186, 2315, 24962, 15051, 24368, 1158, 3453, 1711, 24265, 1227, 2460, 1265, 1510, 1167, 1189, 19846, 29473, 20581, 20031, 1300, 3871, 10004, 1227, 21285, 1167, 1300, 1170, 23308, 17055, 1227, 27636, 1125, 1233, 2562, 1558, 121, 2502, 1251, 5209, 1125, 6344, 19002, 9126, 6087, 1734, 3307, 28269, 2620, 4310, 1261, 1210, 12874, 11362, 5258, 119, 4105, 4280, 19096, 30079, 1522, 2845, 2445, 119, 1189, 29473, 5116, 22051, 26341, 1125, 11936, 1227, 2460, 1265, 1510, 29515, 488, 125, 123, 123, 128, 119, 1170, 1202, 4589, 3983, 1110, 1913, 1125, 488, 126, 131, 123, 13149, 1125, 1251, 192, 6963, 1167, 1170, 1202, 4589, 1215, 4393, 1199, 1125, 488, 126, 126, 488, 128, 123, 123, 1251, 192, 1220, 7745, 1287, 3533, 5629, 23926, 2895, 3837, 14161, 3401, 4306, 1125, 2397, 1456, 186, 27999, 1561, 21665, 1300, 14756, 1994, 3533, 5629, 1323, 7762, 8533, 21544, 1167, 3203, 2054, 2323, 2232, 1170, 10750, 1125, 25022, 1475, 28216, 1323, 488, 668, 25022, 264, 4317, 1331, 235, 185, 1787, 289, 2356, 1170, 10750, 1125, 12418, 17940, 1323, 488, 668, 1200, 27060, 197, 275, 1787, 289, 2356, 1170, 10750, 1125, 2397, 1507, 15207, 1323, 488, 668, 2397, 275, 1210, 192, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 1233, 9981, 1119, 1323, 488, 671, 750, 668, 1233, 254, 2393, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 25022, 12874, 1145, 1323, 488, 668, 25022, 280, 1308, 289, 185, 1787, 289, 2356, 1170, 2054, 2323, 1125, 1306, 9785, 1558, 1323, 488, 686, 675, 21740, 236, 8714, 236, 180, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1293, 7741, 188, 1149, 1323, 488, 1009, 675, 1293, 264, 186, 188, 275, 4317, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1671, 20728, 15207, 1323, 488, 870, 675, 1671, 248, 196, 192, 13096, 2271, 180, 235, 185, 1388, 149, 1255, 1140, 1741, 9323, 1167, 16828, 5825, 1194, 161, 1415, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 1628, 1287, 3533, 2159, 9533, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16189, 1456, 186, 1175, 671, 116, 1299, 1318, 3837, 1227, 4779, 1125, 1158, 10660, 1227, 2460, 1265, 1510, 1186, 1539, 4994, 3450, 1110, 1913, 30647, 1186, 488, 124, 132, 127, 132, 1215, 1158, 14853, 1125, 2397, 1507, 15207, 1167, 1233, 9981, 1119, 1175, 2443, 1874, 1299, 19778, 1125, 1158, 3453, 2347, 1669, 13430, 1125, 2008, 2069, 11742, 1576, 1653, 488, 124, 132, 128, 127, 2399, 1110, 10256, 180, 25022, 1475, 28216, 1357, 1299, 18717, 2757, 1594, 4779, 12198, 121, 3450, 1299, 1225, 1255, 1140, 1303, 1469, 1643, 17449, 8021, 16720, 1105, 1186, 2315, 24962, 15051, 24368, 1158, 3453, 1711, 24265, 1227, 2460, 1265, 1510, 1167, 1189, 19846, 29473, 20581, 20031, 1300, 3871, 10004, 1227, 21285, 1167, 1300, 1170, 23308, 17055, 1227, 27636, 1125, 1233, 2562, 1558, 121, 2502, 1251, 5209, 1125, 6344, 19002, 9126, 6087, 1734, 3307, 28269, 2620, 4310, 1261, 1210, 12874, 11362, 5258, 119, 4105, 4280, 19096, 30079, 1522, 2845, 2445, 119, 1189, 29473, 5116, 22051, 26341, 1125, 11936, 1227, 2460, 1265, 1510, 29515, 488, 125, 123, 123, 128, 119, 1170, 1202, 4589, 3983, 1110, 1913, 1125, 488, 126, 131, 123, 13149, 1125, 1251, 192, 6963, 1167, 1170, 1202, 4589, 1215, 4393, 1199, 1125, 488, 126, 126, 488, 128, 123, 123, 1251, 192, 1220, 7745, 1287, 3533, 5629, 23926, 2895, 3837, 14161, 3401, 4306, 1125, 2397, 1456, 186, 27999, 1561, 21665, 1300, 14756, 1994, 3533, 5629, 1323, 7762, 8533, 21544, 1167, 3203, 2054, 2323, 2232, 1170, 10750, 1125, 25022, 1475, 28216, 1323, 488, 668, 25022, 264, 4317, 1331, 235, 185, 1787, 289, 2356, 1170, 10750, 1125, 12418, 17940, 1323, 488, 668, 1200, 27060, 197, 275, 1787, 289, 2356, 1170, 10750, 1125, 2397, 1507, 15207, 1323, 488, 668, 2397, 275, 1210, 192, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 1233, 9981, 1119, 1323, 488, 671, 750, 668, 1233, 254, 2393, 264, 185, 1787, 289, 2356, 1170, 10750, 1125, 25022, 12874, 1145, 1323, 488, 668, 25022, 280, 1308, 289, 185, 1787, 289, 2356, 1170, 2054, 2323, 1125, 1306, 9785, 1558, 1323, 488, 686, 675, 21740, 236, 8714, 236, 180, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1293, 7741, 188, 1149, 1323, 488, 1009, 675, 1293, 264, 186, 188, 275, 4317, 2271, 180, 235, 185, 2356, 1170, 2054, 2323, 1125, 1671, 20728, 15207, 1323, 488, 870, 675, 1671, 248, 196, 192, 13096, 2271, 180, 235, 185, 1388, 149, 1255, 1140, 1741, 9323, 1167, 16828, 5825, 1194, 161, 1415, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 1628, 1287, 3533, 2159, 9533, 1313, 1158, 10660, 1227, 2460, 1265, 1510, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 160, 1802, 6506, 1362, 8006, 28369, 26034, 6506, 1299, 1318, 5625, 1125, 2882, 1227, 7236, 121, 3450, 1299, 19174, 1313, 1170, 6468, 1197, 6804, 10297, 29855, 3747, 1256, 1207, 22106, 1167, 1207, 29447, 30079, 1299, 10387, 1303, 1188, 1158, 30357, 1125, 2801, 10177, 15376, 2895, 3385, 1405, 1802, 6506, 1299, 16233, 1186, 488, 124, 132, 131, 129, 2290, 1170, 1874, 1125, 1173, 141, 26034, 121, 1653, 488, 124, 132, 132, 126, 119, 1158, 1173, 3306, 148, 7371, 8103, 488, 125, 123, 3403, 1167, 1299, 1501, 25576, 1303, 1215, 8702, 1192, 1255, 1379, 1357, 1158, 2674, 4889, 8006, 6253, 1737, 3939, 2648, 1405, 1802, 1186, 488, 124, 132, 132, 132, 8155, 488, 126, 2578, 488, 124, 132, 132, 132, 119, 1405, 1802, 2957, 21917, 488, 124, 123, 2199, 1125, 1594, 5564, 1300, 1170, 5387, 6772, 121, 1548, 488, 124, 125, 2921, 488, 125, 123, 123, 123, 119, 2399, 1115, 4567, 488, 124, 131, 119, 129, 5743, 25289, 1186, 8324, 27496, 488, 131, 130, 128, 488, 126, 128, 123, 12765, 8551, 1117, 19610, 4466, 8258, 1508, 8337, 1186, 3828, 3247, 1256, 25711, 10721, 9408, 1125, 1158, 3385, 1198, 6548, 5445, 152, 147, 1256, 488, 124, 127, 119, 132, 5743, 25289, 1175, 10029, 488, 128, 5743, 27853, 1186, 5555, 1405, 1802, 1576, 1548, 488, 125, 127, 2749, 488, 125, 123, 123, 124, 119, 1405, 1802, 2957, 9385, 1450, 1909, 5555, 1167, 1909, 12765, 8551, 30367, 1300, 1170, 2423, 5387, 8155, 5387, 1197, 2882, 29855, 1281, 5464, 1245, 1167, 1170, 3274, 2050, 1632, 1909, 18391, 1125, 488, 124, 119, 125, 125, 4750, 25289, 1186, 488, 125, 123, 123, 124, 1188, 488, 124, 125, 119, 124, 126, 5743, 1186, 488, 125, 123, 123, 125, 1256, 1189, 15647, 26298, 488, 125, 123, 123, 125, 1125, 488, 127, 123, 119, 129, 131, 5743, 1304, 1929, 8318, 1405, 1802, 2957, 1281, 11083, 119, 3702, 1170, 8047, 1197, 3273, 1346, 1606, 9993, 1125, 1282, 1141, 29051, 195, 1214, 12090, 1524, 1469, 1606, 1197, 8258, 7860, 5742, 7694, 1125, 488, 130, 5743, 25289, 3133, 1189, 1606, 2283, 1567, 1160, 8368, 1125, 488, 124, 131, 119, 131, 5743, 1524, 1167, 1197, 2609, 8752, 12321, 5257, 2984, 1125, 488, 124, 132, 119, 127, 4750, 1297, 1653, 488, 125, 123, 123, 126, 119, 1405, 1802, 2957, 5016, 1125, 1606, 16354, 2139, 1524, 1186, 5367, 18479, 1561, 23596, 4047, 9151, 1125, 1606, 488, 124, 126, 119, 130, 126, 5743, 25289, 1188, 1622, 488, 125, 123, 123, 125, 1188, 488, 125, 119, 126, 124, 5743, 25289, 1524, 1667, 1186, 1522, 2532, 1199, 1170, 5777, 20921, 1197, 12765, 8551, 30367, 1125, 488, 126, 2199, 1188, 488, 123, 119, 124, 2199, 1167, 1186, 2762, 6026, 1199, 1158, 1622, 1197, 11533, 1525, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 125, 123, 121, 1643, 4356, 2368, 1174, 3567, 1345, 1186, 488, 125, 123, 123, 126, 1469, 1189, 7679, 8368, 22851, 1125, 488, 124, 4750, 1304, 1929, 8318, 14019, 1186, 488, 125, 123, 123, 127, 119, 1527, 7354, 24060, 1125, 488, 127, 5743, 25289, 1256, 1189, 15647, 26298, 1186, 15516, 1125, 488, 124, 127, 2199, 1188, 488, 126, 124, 119, 129, 5743, 1304, 1929, 8318, 1653, 488, 125, 123, 123, 128, 119, 1405, 1802, 2957, 2377, 8094, 2542, 1561, 4356, 12090, 1469, 1909, 22106, 1167, 1158, 3385, 1299, 1685, 20684, 18188, 1469, 24570, 1125, 1158, 3385, 4444, 1199, 1357, 1275, 5026, 488, 124, 130, 119, 131, 131, 2199, 1227, 5564, 121, 1653, 488, 125, 123, 123, 129, 119, 4444, 1199, 1275, 5026, 488, 125, 126, 119, 125, 129, 2199, 1227, 5564, 121, 3450, 15187, 1561, 9085, 1188, 488, 124, 124, 119, 126, 123, 2199, 1186, 488, 125, 123, 123, 131, 1256, 11924, 1227, 5564, 1186, 488, 125, 123, 124, 123, 1388, 3742, 9942, 14731, 1802, 2957, 8135, 18922, 1313, 1318, 11494, 1125, 1139, 23162, 14226, 7670, 1606, 1207, 6804, 9011, 1524, 2534, 1199, 1125, 6804, 10297, 29855, 1175, 2235, 122, 127, 123, 123, 119, 30823, 3450, 1964, 5265, 11129, 1257, 2666, 1197, 8787, 16900, 13705, 1188, 1158, 16956, 1304, 18956, 1256, 16106, 1207, 7571, 1227, 3449, 26384, 2666, 1125, 1606, 1158, 16956, 1304, 13221, 1256, 6504, 18624, 1197, 6943, 1167, 20767, 5824, 1158, 16956, 1197, 11095, 1125, 12935, 12813, 1524, 8155, 15647, 26298, 488, 125, 123, 124, 132, 1125, 488, 124, 132, 119, 129, 129, 5743, 25289, 1299, 8922, 11129, 1313, 1170, 6485, 1197, 22106, 1175, 127, 132, 31888, 1167, 1197, 29447, 1175, 124, 129, 2199, 4023, 20634, 1167, 5474, 1194, 15759, 2561, 4716, 1594, 9209, 1188, 19800, 1390, 1517, 3486, 1107, 2360, 24738, 10387, 1303, 1188, 5613, 1136, 1105, 2087, 121, 32001, 1424, 32000, 20036, 14731, 1802, 6506, 1362, 8006, 28369, 26034, 6506, 1299, 1318, 5625, 1125, 2882, 1227, 7236, 121, 3450, 1299, 19174, 1313, 1170, 6468, 1197, 6804, 10297, 29855, 3747, 1256, 1207, 22106, 1167, 1207, 29447, 30079, 1299, 10387, 1303, 1188, 1158, 30357, 1125, 2801, 10177, 15376, 2895, 3385, 1405, 1802, 6506, 1299, 16233, 1186, 488, 124, 132, 131, 129, 2290, 1170, 1874, 1125, 1173, 141, 26034, 121, 1653, 488, 124, 132, 132, 126, 119, 1158, 1173, 3306, 148, 7371, 8103, 488, 125, 123, 3403, 1167, 1299, 1501, 25576, 1303, 1215, 8702, 1192, 1255, 1379, 1357, 1158, 2674, 4889, 8006, 6253, 1737, 3939, 2648, 1405, 1802, 1186, 488, 124, 132, 132, 132, 8155, 488, 126, 2578, 488, 124, 132, 132, 132, 119, 1405, 1802, 2957, 21917, 488, 124, 123, 2199, 1125, 1594, 5564, 1300, 1170, 5387, 6772, 121, 1548, 488, 124, 125, 2921, 488, 125, 123, 123, 123, 119, 2399, 1115, 4567, 488, 124, 131, 119, 129, 5743, 25289, 1186, 8324, 27496, 488, 131, 130, 128, 488, 126, 128, 123, 12765, 8551, 1117, 19610, 4466, 8258, 1508, 8337, 1186, 3828, 3247, 1256, 25711, 10721, 9408, 1125, 1158, 3385, 1198, 6548, 5445, 152, 147, 1256, 488, 124, 127, 119, 132, 5743, 25289, 1175, 10029, 488, 128, 5743, 27853, 1186, 5555, 1405, 1802, 1576, 1548, 488, 125, 127, 2749, 488, 125, 123, 123, 124, 119, 1405, 1802, 2957, 9385, 1450, 1909, 5555, 1167, 1909, 12765, 8551, 30367, 1300, 1170, 2423, 5387, 8155, 5387, 1197, 2882, 29855, 1281, 5464, 1245, 1167, 1170, 3274, 2050, 1632, 1909, 18391, 1125, 488, 124, 119, 125, 125, 4750, 25289, 1186, 488, 125, 123, 123, 124, 1188, 488, 124, 125, 119, 124, 126, 5743, 1186, 488, 125, 123, 123, 125, 1256, 1189, 15647, 26298, 488, 125, 123, 123, 125, 1125, 488, 127, 123, 119, 129, 131, 5743, 1304, 1929, 8318, 1405, 1802, 2957, 1281, 11083, 119, 3702, 1170, 8047, 1197, 3273, 1346, 1606, 9993, 1125, 1282, 1141, 29051, 195, 1214, 12090, 1524, 1469, 1606, 1197, 8258, 7860, 5742, 7694, 1125, 488, 130, 5743, 25289, 3133, 1189, 1606, 2283, 1567, 1160, 8368, 1125, 488, 124, 131, 119, 131, 5743, 1524, 1167, 1197, 2609, 8752, 12321, 5257, 2984, 1125, 488, 124, 132, 119, 127, 4750, 1297, 1653, 488, 125, 123, 123, 126, 119, 1405, 1802, 2957, 5016, 1125, 1606, 16354, 2139, 1524, 1186, 5367, 18479, 1561, 23596, 4047, 9151, 1125, 1606, 488, 124, 126, 119, 130, 126, 5743, 25289, 1188, 1622, 488, 125, 123, 123, 125, 1188, 488, 125, 119, 126, 124, 5743, 25289, 1524, 1667, 1186, 1522, 2532, 1199, 1170, 5777, 20921, 1197, 12765, 8551, 30367, 1125, 488, 126, 2199, 1188, 488, 123, 119, 124, 2199, 1167, 1186, 2762, 6026, 1199, 1158, 1622, 1197, 11533, 1525, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 125, 123, 121, 1643, 4356, 2368, 1174, 3567, 1345, 1186, 488, 125, 123, 123, 126, 1469, 1189, 7679, 8368, 22851, 1125, 488, 124, 4750, 1304, 1929, 8318, 14019, 1186, 488, 125, 123, 123, 127, 119, 1527, 7354, 24060, 1125, 488, 127, 5743, 25289, 1256, 1189, 15647, 26298, 1186, 15516, 1125, 488, 124, 127, 2199, 1188, 488, 126, 124, 119, 129, 5743, 1304, 1929, 8318, 1653, 488, 125, 123, 123, 128, 119, 1405, 1802, 2957, 2377, 8094, 2542, 1561, 4356, 12090, 1469, 1909, 22106, 1167, 1158, 3385, 1299, 1685, 20684, 18188, 1469, 24570, 1125, 1158, 3385, 4444, 1199, 1357, 1275, 5026, 488, 124, 130, 119, 131, 131, 2199, 1227, 5564, 121, 1653, 488, 125, 123, 123, 129, 119, 4444, 1199, 1275, 5026, 488, 125, 126, 119, 125, 129, 2199, 1227, 5564, 121, 3450, 15187, 1561, 9085, 1188, 488, 124, 124, 119, 126, 123, 2199, 1186, 488, 125, 123, 123, 131, 1256, 11924, 1227, 5564, 1186, 488, 125, 123, 124, 123, 1388, 3742, 9942, 14731, 1802, 2957, 8135, 18922, 1313, 1318, 11494, 1125, 1139, 23162, 14226, 7670, 1606, 1207, 6804, 9011, 1524, 2534, 1199, 1125, 6804, 10297, 29855, 1175, 2235, 122, 127, 123, 123, 119, 30823, 3450, 1964, 5265, 11129, 1257, 2666, 1197, 8787, 16900, 13705, 1188, 1158, 16956, 1304, 18956, 1256, 16106, 1207, 7571, 1227, 3449, 26384, 2666, 1125, 1606, 1158, 16956, 1304, 13221, 1256, 6504, 18624, 1197, 6943, 1167, 20767, 5824, 1158, 16956, 1197, 11095, 1125, 12935, 12813, 1524, 8155, 15647, 26298, 488, 125, 123, 124, 132, 1125, 488, 124, 132, 119, 129, 129, 5743, 25289, 1299, 8922, 11129, 1313, 1170, 6485, 1197, 22106, 1175, 127, 132, 31888, 1167, 1197, 29447, 1175, 124, 129, 2199, 4023, 20634, 1167, 5474, 1194, 15759, 2561, 4716, 1594, 9209, 1188, 19800, 1390, 1517, 3486, 1107, 2360, 24738, 10387, 1303, 1188, 5613, 1136, 1105, 2087, 121, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14731, 1802, 6506, 1362, 8006, 28369, 26034, 6506, 1299, 1318, 5625, 1125, 2882, 1227, 7236, 121, 3450, 1299, 19174, 1313, 1170, 6468, 1197, 6804, 10297, 29855, 3747, 1256, 1207, 22106, 1167, 1207, 29447, 30079, 1299, 10387, 1303, 1188, 1158, 30357, 1125, 2801, 10177, 15376, 2895, 3385, 1405, 1802, 6506, 1299, 16233, 1186, 488, 124, 132, 131, 129, 2290, 1170, 1874, 1125, 1173, 141, 26034, 121, 1653, 488, 124, 132, 132, 126, 119, 1158, 1173, 3306, 148, 7371, 8103, 488, 125, 123, 3403, 1167, 1299, 1501, 25576, 1303, 1215, 8702, 1192, 1255, 1379, 1357, 1158, 2674, 4889, 8006, 6253, 1737, 3939, 2648, 1405, 1802, 1186, 488, 124, 132, 132, 132, 8155, 488, 126, 2578, 488, 124, 132, 132, 132, 119, 1405, 1802, 2957, 21917, 488, 124, 123, 2199, 1125, 1594, 5564, 1300, 1170, 5387, 6772, 121, 1548, 488, 124, 125, 2921, 488, 125, 123, 123, 123, 119, 2399, 1115, 4567, 488, 124, 131, 119, 129, 5743, 25289, 1186, 8324, 27496, 488, 131, 130, 128, 488, 126, 128, 123, 12765, 8551, 1117, 19610, 4466, 8258, 1508, 8337, 1186, 3828, 3247, 1256, 25711, 10721, 9408, 1125, 1158, 3385, 1198, 6548, 5445, 152, 147, 1256, 488, 124, 127, 119, 132, 5743, 25289, 1175, 10029, 488, 128, 5743, 27853, 1186, 5555, 1405, 1802, 1576, 1548, 488, 125, 127, 2749, 488, 125, 123, 123, 124, 119, 1405, 1802, 2957, 9385, 1450, 1909, 5555, 1167, 1909, 12765, 8551, 30367, 1300, 1170, 2423, 5387, 8155, 5387, 1197, 2882, 29855, 1281, 5464, 1245, 1167, 1170, 3274, 2050, 1632, 1909, 18391, 1125, 488, 124, 119, 125, 125, 4750, 25289, 1186, 488, 125, 123, 123, 124, 1188, 488, 124, 125, 119, 124, 126, 5743, 1186, 488, 125, 123, 123, 125, 1256, 1189, 15647, 26298, 488, 125, 123, 123, 125, 1125, 488, 127, 123, 119, 129, 131, 5743, 1304, 1929, 8318, 1405, 1802, 2957, 1281, 11083, 119, 3702, 1170, 8047, 1197, 3273, 1346, 1606, 9993, 1125, 1282, 1141, 29051, 195, 1214, 12090, 1524, 1469, 1606, 1197, 8258, 7860, 5742, 7694, 1125, 488, 130, 5743, 25289, 3133, 1189, 1606, 2283, 1567, 1160, 8368, 1125, 488, 124, 131, 119, 131, 5743, 1524, 1167, 1197, 2609, 8752, 12321, 5257, 2984, 1125, 488, 124, 132, 119, 127, 4750, 1297, 1653, 488, 125, 123, 123, 126, 119, 1405, 1802, 2957, 5016, 1125, 1606, 16354, 2139, 1524, 1186, 5367, 18479, 1561, 23596, 4047, 9151, 1125, 1606, 488, 124, 126, 119, 130, 126, 5743, 25289, 1188, 1622, 488, 125, 123, 123, 125, 1188, 488, 125, 119, 126, 124, 5743, 25289, 1524, 1667, 1186, 1522, 2532, 1199, 1170, 5777, 20921, 1197, 12765, 8551, 30367, 1125, 488, 126, 2199, 1188, 488, 123, 119, 124, 2199, 1167, 1186, 2762, 6026, 1199, 1158, 1622, 1197, 11533, 1525, 1125, 488, 125, 123, 123, 128, 1188, 488, 125, 123, 125, 123, 121, 1643, 4356, 2368, 1174, 3567, 1345, 1186, 488, 125, 123, 123, 126, 1469, 1189, 7679, 8368, 22851, 1125, 488, 124, 4750, 1304, 1929, 8318, 14019, 1186, 488, 125, 123, 123, 127, 119, 1527, 7354, 24060, 1125, 488, 127, 5743, 25289, 1256, 1189, 15647, 26298, 1186, 15516, 1125, 488, 124, 127, 2199, 1188, 488, 126, 124, 119, 129, 5743, 1304, 1929, 8318, 1653, 488, 125, 123, 123, 128, 119, 1405, 1802, 2957, 2377, 8094, 2542, 1561, 4356, 12090, 1469, 1909, 22106, 1167, 1158, 3385, 1299, 1685, 20684, 18188, 1469, 24570, 1125, 1158, 3385, 4444, 1199, 1357, 1275, 5026, 488, 124, 130, 119, 131, 131, 2199, 1227, 5564, 121, 1653, 488, 125, 123, 123, 129, 119, 4444, 1199, 1275, 5026, 488, 125, 126, 119, 125, 129, 2199, 1227, 5564, 121, 3450, 15187, 1561, 9085, 1188, 488, 124, 124, 119, 126, 123, 2199, 1186, 488, 125, 123, 123, 131, 1256, 11924, 1227, 5564, 1186, 488, 125, 123, 124, 123, 1388, 3742, 9942, 14731, 1802, 2957, 8135, 18922, 1313, 1318, 11494, 1125, 1139, 23162, 14226, 7670, 1606, 1207, 6804, 9011, 1524, 2534, 1199, 1125, 6804, 10297, 29855, 1175, 2235, 122, 127, 123, 123, 119, 30823, 3450, 1964, 5265, 11129, 1257, 2666, 1197, 8787, 16900, 13705, 1188, 1158, 16956, 1304, 18956, 1256, 16106, 1207, 7571, 1227, 3449, 26384, 2666, 1125, 1606, 1158, 16956, 1304, 13221, 1256, 6504, 18624, 1197, 6943, 1167, 20767, 5824, 1158, 16956, 1197, 11095, 1125, 12935, 12813, 1524, 8155, 15647, 26298, 488, 125, 123, 124, 132, 1125, 488, 124, 132, 119, 129, 129, 5743, 25289, 1299, 8922, 11129, 1313, 1170, 6485, 1197, 22106, 1175, 127, 132, 31888, 1167, 1197, 29447, 1175, 124, 129, 2199, 4023, 20634, 1167, 5474, 1194, 15759, 2561, 4716, 1594, 9209, 1188, 19800, 1390, 1517, 3486, 1107, 2360, 24738, 10387, 1303, 1188, 5613, 1136, 1105, 2087, 121, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 224, 30590, 17561, 2357, 5252, 1186, 488, 124, 129, 124, 124, 4541, 1170, 488, 129, 3012, 488, 124, 129, 128, 125, 119, 1299, 1189, 4037, 1395, 1234, 5787, 1960, 2720, 1227, 11402, 3463, 176, 6298, 1357, 2985, 2682, 17215, 1125, 9560, 4814, 1125, 488, 124, 129, 127, 131, 1188, 488, 124, 129, 128, 125, 14231, 23435, 30590, 1299, 8658, 1125, 9228, 7546, 1276, 2466, 17561, 2357, 3151, 4637, 1227, 14701, 1125, 2801, 1167, 1125, 7162, 1303, 1266, 8451, 5363, 121, 1768, 1299, 1522, 27207, 1497, 1274, 9151, 1125, 3281, 21147, 3840, 6867, 25517, 1145, 1167, 1125, 3281, 3926, 1150, 1757, 1125, 16049, 1167, 20129, 1374, 1125, 1158, 13894, 10720, 1301, 1378, 1125, 18994, 1768, 1299, 12688, 2682, 17215, 1125, 9560, 4814, 1186, 488, 124, 129, 127, 131, 119, 1723, 19859, 4796, 488, 124, 129, 128, 125, 8509, 1416, 1467, 1186, 3012, 488, 124, 129, 128, 125, 26626, 5964, 1227, 11402, 3463, 176, 6298, 8156, 1186, 488, 124, 129, 124, 124, 5526, 193, 17215, 1125, 9560, 4814, 32001, 1424, 32000, 20036, 5526, 30590, 17561, 2357, 5252, 1186, 488, 124, 129, 124, 124, 4541, 1170, 488, 129, 3012, 488, 124, 129, 128, 125, 119, 1299, 1189, 4037, 1395, 1234, 5787, 1960, 2720, 1227, 11402, 3463, 176, 6298, 1357, 2985, 2682, 17215, 1125, 9560, 4814, 1125, 488, 124, 129, 127, 131, 1188, 488, 124, 129, 128, 125, 14231, 23435, 30590, 1299, 8658, 1125, 9228, 7546, 1276, 2466, 17561, 2357, 3151, 4637, 1227, 14701, 1125, 2801, 1167, 1125, 7162, 1303, 1266, 8451, 5363, 121, 1768, 1299, 1522, 27207, 1497, 1274, 9151, 1125, 3281, 21147, 3840, 6867, 25517, 1145, 1167, 1125, 3281, 3926, 1150, 1757, 1125, 16049, 1167, 20129, 1374, 1125, 1158, 13894, 10720, 1301, 1378, 1125, 18994, 1768, 1299, 12688, 2682, 17215, 1125, 9560, 4814, 1186, 488, 124, 129, 127, 131, 119, 1723, 19859, 4796, 488, 124, 129, 128, 125, 8509, 1416, 1467, 1186, 3012, 488, 124, 129, 128, 125, 26626, 5964, 1227, 11402, 3463, 176, 6298, 8156, 1186, 488, 124, 129, 124, 124, 5526, 193, 17215, 1125, 9560, 4814, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5526, 30590, 17561, 2357, 5252, 1186, 488, 124, 129, 124, 124, 4541, 1170, 488, 129, 3012, 488, 124, 129, 128, 125, 119, 1299, 1189, 4037, 1395, 1234, 5787, 1960, 2720, 1227, 11402, 3463, 176, 6298, 1357, 2985, 2682, 17215, 1125, 9560, 4814, 1125, 488, 124, 129, 127, 131, 1188, 488, 124, 129, 128, 125, 14231, 23435, 30590, 1299, 8658, 1125, 9228, 7546, 1276, 2466, 17561, 2357, 3151, 4637, 1227, 14701, 1125, 2801, 1167, 1125, 7162, 1303, 1266, 8451, 5363, 121, 1768, 1299, 1522, 27207, 1497, 1274, 9151, 1125, 3281, 21147, 3840, 6867, 25517, 1145, 1167, 1125, 3281, 3926, 1150, 1757, 1125, 16049, 1167, 20129, 1374, 1125, 1158, 13894, 10720, 1301, 1378, 1125, 18994, 1768, 1299, 12688, 2682, 17215, 1125, 9560, 4814, 1186, 488, 124, 129, 127, 131, 119, 1723, 19859, 4796, 488, 124, 129, 128, 125, 8509, 1416, 1467, 1186, 3012, 488, 124, 129, 128, 125, 26626, 5964, 1227, 11402, 3463, 176, 6298, 8156, 1186, 488, 124, 129, 124, 124, 5526, 193, 17215, 1125, 9560, 4814, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 21311, 1297, 1173, 1291, 1180, 1231, 3318, 1299, 1189, 5047, 6327, 1125, 31377, 120, 13761, 15519, 1215, 16109, 7428, 1202, 11132, 21126, 1457, 1768, 1110, 1913, 3902, 1300, 1170, 5387, 1227, 25196, 13727, 27283, 4462, 488, 126, 129, 123, 116, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 119, 1167, 1844, 3011, 1317, 5047, 11078, 1291, 1180, 1231, 3318, 9665, 1186, 488, 125, 123, 123, 132, 121, 1768, 1110, 1913, 6349, 6317, 1300, 8106, 2708, 1438, 7745, 20744, 1125, 5047, 1194, 8044, 2092, 1424, 12276, 1257, 488, 132, 122, 124, 123, 30621, 25346, 1862, 1257, 488, 124, 130, 122, 125, 123, 9323, 1167, 5474, 2093, 5522, 192, 1125, 31377, 120, 13761, 27248, 6327, 1188, 2968, 1399, 1160, 24469, 27248, 6327, 9665, 1186, 488, 125, 123, 124, 124, 27248, 6327, 15519, 1571, 9864, 27248, 8106, 2708, 1438, 27248, 8106, 27248, 25196, 488, 126, 129, 123, 27248, 19772, 27248, 25196, 13727, 18246, 2240, 27248, 16109, 7428, 1202, 11132, 27248, 8887, 11063, 8201, 1180, 27248, 6327, 2327, 244, 32001, 1424, 32000, 20036, 1720, 1297, 1173, 1291, 1180, 1231, 3318, 1299, 1189, 5047, 6327, 1125, 31377, 120, 13761, 15519, 1215, 16109, 7428, 1202, 11132, 21126, 1457, 1768, 1110, 1913, 3902, 1300, 1170, 5387, 1227, 25196, 13727, 27283, 4462, 488, 126, 129, 123, 116, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 119, 1167, 1844, 3011, 1317, 5047, 11078, 1291, 1180, 1231, 3318, 9665, 1186, 488, 125, 123, 123, 132, 121, 1768, 1110, 1913, 6349, 6317, 1300, 8106, 2708, 1438, 7745, 20744, 1125, 5047, 1194, 8044, 2092, 1424, 12276, 1257, 488, 132, 122, 124, 123, 30621, 25346, 1862, 1257, 488, 124, 130, 122, 125, 123, 9323, 1167, 5474, 2093, 5522, 192, 1125, 31377, 120, 13761, 27248, 6327, 1188, 2968, 1399, 1160, 24469, 27248, 6327, 9665, 1186, 488, 125, 123, 124, 124, 27248, 6327, 15519, 1571, 9864, 27248, 8106, 2708, 1438, 27248, 8106, 27248, 25196, 488, 126, 129, 123, 27248, 19772, 27248, 25196, 13727, 18246, 2240, 27248, 16109, 7428, 1202, 11132, 27248, 8887, 11063, 8201, 1180, 27248, 6327, 2327, 244, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1720, 1297, 1173, 1291, 1180, 1231, 3318, 1299, 1189, 5047, 6327, 1125, 31377, 120, 13761, 15519, 1215, 16109, 7428, 1202, 11132, 21126, 1457, 1768, 1110, 1913, 3902, 1300, 1170, 5387, 1227, 25196, 13727, 27283, 4462, 488, 126, 129, 123, 116, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 119, 1167, 1844, 3011, 1317, 5047, 11078, 1291, 1180, 1231, 3318, 9665, 1186, 488, 125, 123, 123, 132, 121, 1768, 1110, 1913, 6349, 6317, 1300, 8106, 2708, 1438, 7745, 20744, 1125, 5047, 1194, 8044, 2092, 1424, 12276, 1257, 488, 132, 122, 124, 123, 30621, 25346, 1862, 1257, 488, 124, 130, 122, 125, 123, 9323, 1167, 5474, 2093, 5522, 192, 1125, 31377, 120, 13761, 27248, 6327, 1188, 2968, 1399, 1160, 24469, 27248, 6327, 9665, 1186, 488, 125, 123, 124, 124, 27248, 6327, 15519, 1571, 9864, 27248, 8106, 2708, 1438, 27248, 8106, 27248, 25196, 488, 126, 129, 123, 27248, 19772, 27248, 25196, 13727, 18246, 2240, 27248, 16109, 7428, 1202, 11132, 27248, 8887, 11063, 8201, 1180, 27248, 6327, 2327, 244, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 3681, 6388, 1248, 180, 1797, 1299, 1189, 23313, 6843, 2944, 5598, 1125, 12103, 1167, 1125, 9452, 119, 1113, 4587, 1374, 1125, 1158, 4879, 2086, 25081, 1125, 14022, 119, 8877, 1369, 1167, 9820, 1790, 3212, 5252, 1170, 488, 124, 129, 2749, 488, 124, 131, 132, 128, 1188, 1233, 2721, 7153, 30129, 1107, 4497, 21475, 29503, 2137, 116, 1167, 4541, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1188, 2801, 14231, 20546, 488, 124, 132, 126, 130, 119, 13075, 1248, 180, 1797, 1110, 3719, 2357, 2290, 1170, 1874, 1304, 5018, 1176, 8796, 31395, 1548, 4173, 1197, 29270, 4314, 1300, 13234, 488, 126, 130, 119, 1469, 22317, 1548, 3849, 20695, 12258, 2985, 3719, 1793, 1167, 25081, 1304, 2035, 4031, 4879, 3157, 1105, 2097, 1300, 2315, 1459, 5661, 2315, 10587, 119, 6261, 1388, 282, 19760, 1424, 2103, 244, 7268, 1194, 124, 132, 125, 127, 1257, 1204, 26495, 1186, 8077, 1125, 24354, 26346, 1808, 22167, 1554, 1125, 1158, 8580, 1266, 1941, 1125, 10787, 23123, 1265, 8273, 7359, 1424, 4968, 1538, 29069, 106, 124, 132, 126, 127, 1257, 2576, 5395, 1132, 2009, 1125, 3699, 1352, 27529, 1563, 20036, 25081, 106, 124, 132, 128, 124, 1257, 1643, 11961, 14212, 13076, 29710, 4847, 1245, 2282, 1194, 8044, 1790, 1793, 106, 124, 132, 126, 129, 1257, 1548, 1202, 7009, 2114, 6001, 4972, 3277, 119, 1469, 22317, 1548, 177, 11968, 1112, 1167, 26502, 5904, 14215, 3849, 4019, 1194, 2700, 3931, 23923, 124, 132, 126, 126, 1257, 2397, 3149, 1125, 14424, 1125, 3699, 1352, 27529, 1257, 1189, 15127, 1136, 1125, 7005, 1563, 20036, 25081, 24367, 1819, 28084, 1424, 8044, 1790, 1793, 106, 124, 132, 128, 124, 1257, 2576, 147, 4889, 1357, 1110, 11708, 1594, 9760, 1829, 1125, 11088, 4115, 1531, 6526, 1167, 13075, 1248, 180, 1797, 119, 21469, 10948, 4847, 1126, 3679, 14472, 1125, 9292, 1470, 9945, 124, 132, 128, 126, 1257, 1548, 4732, 1125, 7980, 1424, 124, 132, 128, 127, 1257, 17734, 2100, 2068, 174, 1490, 4834, 21469, 6780, 5807, 3225, 5930, 1424, 124, 132, 129, 127, 1257, 2576, 30609, 1113, 2570, 4731, 1244, 3615, 2974, 4284, 1260, 124, 132, 129, 127, 1257, 1808, 1306, 11790, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 128, 1257, 1252, 1541, 12319, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1253, 1614, 20028, 13076, 29710, 1198, 4954, 1128, 1155, 124, 132, 129, 129, 1257, 1643, 4444, 1125, 1158, 7005, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1643, 4444, 1125, 1158, 7005, 1125, 9228, 11878, 180, 1183, 1194, 16242, 2504, 1424, 4961, 4964, 1165, 1274, 189, 2289, 1385, 1215, 3476, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 2893, 4964, 1165, 1274, 189, 1124, 1285, 9368, 186, 4978, 119, 10302, 121, 8637, 13173, 1125, 1158, 8227, 4451, 1633, 4476, 19832, 488, 124, 132, 128, 125, 3696, 3093, 29485, 8566, 9752, 13075, 1248, 180, 1797, 119, 1173, 1445, 1303, 1125, 6721, 3453, 11473, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1300, 1158, 1539, 2813, 1245, 5277, 18604, 177, 3655, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 10759, 8487, 4429, 12112, 1234, 1186, 488, 124, 132, 129, 123, 11488, 1167, 20117, 2072, 17994, 17322, 1146, 15899, 3260, 11565, 1227, 9221, 4783, 2408, 15173, 1606, 1548, 1204, 1370, 2548, 1524, 1257, 7364, 5825, 2093, 15884, 1343, 1842, 11050, 192, 1836, 8877, 1369, 26626, 17072, 1314, 5964, 1125, 1158, 9421, 1750, 1217, 2504, 5956, 1186, 2315, 1720, 26495, 1186, 1238, 3436, 18214, 2355, 1107, 1188, 1158, 9421, 4401, 1195, 1793, 1300, 2315, 5806, 4401, 1195, 1793, 1300, 2315, 10587, 4401, 1195, 1793, 1300, 1318, 9421, 1186, 2315, 1763, 4719, 29069, 2720, 5968, 1790, 1793, 2720, 24425, 1538, 29069, 2720, 1125, 9452, 5383, 30941, 2720, 4030, 10577, 8877, 1369, 1628, 1869, 3359, 8765, 15923, 1571, 29662, 29503, 2137, 5968, 1790, 1793, 15923, 1571, 29662, 29503, 2137, 8156, 1186, 2749, 488, 124, 131, 132, 128, 8156, 1188, 1233, 2721, 7153, 30129, 1107, 9317, 1186, 2584, 488, 124, 132, 129, 131, 9317, 1313, 1170, 488, 124, 126, 176, 28077, 1125, 2801, 9317, 1188, 488, 130, 126, 2165, 114, 32001, 1424, 32000, 20036, 24623, 3681, 6388, 1248, 180, 1797, 1299, 1189, 23313, 6843, 2944, 5598, 1125, 12103, 1167, 1125, 9452, 119, 1113, 4587, 1374, 1125, 1158, 4879, 2086, 25081, 1125, 14022, 119, 8877, 1369, 1167, 9820, 1790, 3212, 5252, 1170, 488, 124, 129, 2749, 488, 124, 131, 132, 128, 1188, 1233, 2721, 7153, 30129, 1107, 4497, 21475, 29503, 2137, 116, 1167, 4541, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1188, 2801, 14231, 20546, 488, 124, 132, 126, 130, 119, 13075, 1248, 180, 1797, 1110, 3719, 2357, 2290, 1170, 1874, 1304, 5018, 1176, 8796, 31395, 1548, 4173, 1197, 29270, 4314, 1300, 13234, 488, 126, 130, 119, 1469, 22317, 1548, 3849, 20695, 12258, 2985, 3719, 1793, 1167, 25081, 1304, 2035, 4031, 4879, 3157, 1105, 2097, 1300, 2315, 1459, 5661, 2315, 10587, 119, 6261, 1388, 282, 19760, 1424, 2103, 244, 7268, 1194, 124, 132, 125, 127, 1257, 1204, 26495, 1186, 8077, 1125, 24354, 26346, 1808, 22167, 1554, 1125, 1158, 8580, 1266, 1941, 1125, 10787, 23123, 1265, 8273, 7359, 1424, 4968, 1538, 29069, 106, 124, 132, 126, 127, 1257, 2576, 5395, 1132, 2009, 1125, 3699, 1352, 27529, 1563, 20036, 25081, 106, 124, 132, 128, 124, 1257, 1643, 11961, 14212, 13076, 29710, 4847, 1245, 2282, 1194, 8044, 1790, 1793, 106, 124, 132, 126, 129, 1257, 1548, 1202, 7009, 2114, 6001, 4972, 3277, 119, 1469, 22317, 1548, 177, 11968, 1112, 1167, 26502, 5904, 14215, 3849, 4019, 1194, 2700, 3931, 23923, 124, 132, 126, 126, 1257, 2397, 3149, 1125, 14424, 1125, 3699, 1352, 27529, 1257, 1189, 15127, 1136, 1125, 7005, 1563, 20036, 25081, 24367, 1819, 28084, 1424, 8044, 1790, 1793, 106, 124, 132, 128, 124, 1257, 2576, 147, 4889, 1357, 1110, 11708, 1594, 9760, 1829, 1125, 11088, 4115, 1531, 6526, 1167, 13075, 1248, 180, 1797, 119, 21469, 10948, 4847, 1126, 3679, 14472, 1125, 9292, 1470, 9945, 124, 132, 128, 126, 1257, 1548, 4732, 1125, 7980, 1424, 124, 132, 128, 127, 1257, 17734, 2100, 2068, 174, 1490, 4834, 21469, 6780, 5807, 3225, 5930, 1424, 124, 132, 129, 127, 1257, 2576, 30609, 1113, 2570, 4731, 1244, 3615, 2974, 4284, 1260, 124, 132, 129, 127, 1257, 1808, 1306, 11790, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 128, 1257, 1252, 1541, 12319, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1253, 1614, 20028, 13076, 29710, 1198, 4954, 1128, 1155, 124, 132, 129, 129, 1257, 1643, 4444, 1125, 1158, 7005, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1643, 4444, 1125, 1158, 7005, 1125, 9228, 11878, 180, 1183, 1194, 16242, 2504, 1424, 4961, 4964, 1165, 1274, 189, 2289, 1385, 1215, 3476, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 2893, 4964, 1165, 1274, 189, 1124, 1285, 9368, 186, 4978, 119, 10302, 121, 8637, 13173, 1125, 1158, 8227, 4451, 1633, 4476, 19832, 488, 124, 132, 128, 125, 3696, 3093, 29485, 8566, 9752, 13075, 1248, 180, 1797, 119, 1173, 1445, 1303, 1125, 6721, 3453, 11473, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1300, 1158, 1539, 2813, 1245, 5277, 18604, 177, 3655, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 10759, 8487, 4429, 12112, 1234, 1186, 488, 124, 132, 129, 123, 11488, 1167, 20117, 2072, 17994, 17322, 1146, 15899, 3260, 11565, 1227, 9221, 4783, 2408, 15173, 1606, 1548, 1204, 1370, 2548, 1524, 1257, 7364, 5825, 2093, 15884, 1343, 1842, 11050, 192, 1836, 8877, 1369, 26626, 17072, 1314, 5964, 1125, 1158, 9421, 1750, 1217, 2504, 5956, 1186, 2315, 1720, 26495, 1186, 1238, 3436, 18214, 2355, 1107, 1188, 1158, 9421, 4401, 1195, 1793, 1300, 2315, 5806, 4401, 1195, 1793, 1300, 2315, 10587, 4401, 1195, 1793, 1300, 1318, 9421, 1186, 2315, 1763, 4719, 29069, 2720, 5968, 1790, 1793, 2720, 24425, 1538, 29069, 2720, 1125, 9452, 5383, 30941, 2720, 4030, 10577, 8877, 1369, 1628, 1869, 3359, 8765, 15923, 1571, 29662, 29503, 2137, 5968, 1790, 1793, 15923, 1571, 29662, 29503, 2137, 8156, 1186, 2749, 488, 124, 131, 132, 128, 8156, 1188, 1233, 2721, 7153, 30129, 1107, 9317, 1186, 2584, 488, 124, 132, 129, 131, 9317, 1313, 1170, 488, 124, 126, 176, 28077, 1125, 2801, 9317, 1188, 488, 130, 126, 2165, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 3681, 6388, 1248, 180, 1797, 1299, 1189, 23313, 6843, 2944, 5598, 1125, 12103, 1167, 1125, 9452, 119, 1113, 4587, 1374, 1125, 1158, 4879, 2086, 25081, 1125, 14022, 119, 8877, 1369, 1167, 9820, 1790, 3212, 5252, 1170, 488, 124, 129, 2749, 488, 124, 131, 132, 128, 1188, 1233, 2721, 7153, 30129, 1107, 4497, 21475, 29503, 2137, 116, 1167, 4541, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1188, 2801, 14231, 20546, 488, 124, 132, 126, 130, 119, 13075, 1248, 180, 1797, 1110, 3719, 2357, 2290, 1170, 1874, 1304, 5018, 1176, 8796, 31395, 1548, 4173, 1197, 29270, 4314, 1300, 13234, 488, 126, 130, 119, 1469, 22317, 1548, 3849, 20695, 12258, 2985, 3719, 1793, 1167, 25081, 1304, 2035, 4031, 4879, 3157, 1105, 2097, 1300, 2315, 1459, 5661, 2315, 10587, 119, 6261, 1388, 282, 19760, 1424, 2103, 244, 7268, 1194, 124, 132, 125, 127, 1257, 1204, 26495, 1186, 8077, 1125, 24354, 26346, 1808, 22167, 1554, 1125, 1158, 8580, 1266, 1941, 1125, 10787, 23123, 1265, 8273, 7359, 1424, 4968, 1538, 29069, 106, 124, 132, 126, 127, 1257, 2576, 5395, 1132, 2009, 1125, 3699, 1352, 27529, 1563, 20036, 25081, 106, 124, 132, 128, 124, 1257, 1643, 11961, 14212, 13076, 29710, 4847, 1245, 2282, 1194, 8044, 1790, 1793, 106, 124, 132, 126, 129, 1257, 1548, 1202, 7009, 2114, 6001, 4972, 3277, 119, 1469, 22317, 1548, 177, 11968, 1112, 1167, 26502, 5904, 14215, 3849, 4019, 1194, 2700, 3931, 23923, 124, 132, 126, 126, 1257, 2397, 3149, 1125, 14424, 1125, 3699, 1352, 27529, 1257, 1189, 15127, 1136, 1125, 7005, 1563, 20036, 25081, 24367, 1819, 28084, 1424, 8044, 1790, 1793, 106, 124, 132, 128, 124, 1257, 2576, 147, 4889, 1357, 1110, 11708, 1594, 9760, 1829, 1125, 11088, 4115, 1531, 6526, 1167, 13075, 1248, 180, 1797, 119, 21469, 10948, 4847, 1126, 3679, 14472, 1125, 9292, 1470, 9945, 124, 132, 128, 126, 1257, 1548, 4732, 1125, 7980, 1424, 124, 132, 128, 127, 1257, 17734, 2100, 2068, 174, 1490, 4834, 21469, 6780, 5807, 3225, 5930, 1424, 124, 132, 129, 127, 1257, 2576, 30609, 1113, 2570, 4731, 1244, 3615, 2974, 4284, 1260, 124, 132, 129, 127, 1257, 1808, 1306, 11790, 1175, 1389, 183, 3401, 6417, 1260, 124, 132, 129, 128, 1257, 1252, 1541, 12319, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1253, 1614, 20028, 13076, 29710, 1198, 4954, 1128, 1155, 124, 132, 129, 129, 1257, 1643, 4444, 1125, 1158, 7005, 1175, 1389, 183, 3401, 6417, 1496, 22412, 1227, 7808, 1643, 4444, 1125, 1158, 7005, 1125, 9228, 11878, 180, 1183, 1194, 16242, 2504, 1424, 4961, 4964, 1165, 1274, 189, 2289, 1385, 1215, 3476, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 2893, 4964, 1165, 1274, 189, 1124, 1285, 9368, 186, 4978, 119, 10302, 121, 8637, 13173, 1125, 1158, 8227, 4451, 1633, 4476, 19832, 488, 124, 132, 128, 125, 3696, 3093, 29485, 8566, 9752, 13075, 1248, 180, 1797, 119, 1173, 1445, 1303, 1125, 6721, 3453, 11473, 1170, 488, 125, 129, 2584, 488, 124, 132, 129, 131, 1300, 1158, 1539, 2813, 1245, 5277, 18604, 177, 3655, 1835, 13173, 4879, 3157, 1105, 2097, 1469, 10759, 8487, 4429, 12112, 1234, 1186, 488, 124, 132, 129, 123, 11488, 1167, 20117, 2072, 17994, 17322, 1146, 15899, 3260, 11565, 1227, 9221, 4783, 2408, 15173, 1606, 1548, 1204, 1370, 2548, 1524, 1257, 7364, 5825, 2093, 15884, 1343, 1842, 11050, 192, 1836, 8877, 1369, 26626, 17072, 1314, 5964, 1125, 1158, 9421, 1750, 1217, 2504, 5956, 1186, 2315, 1720, 26495, 1186, 1238, 3436, 18214, 2355, 1107, 1188, 1158, 9421, 4401, 1195, 1793, 1300, 2315, 5806, 4401, 1195, 1793, 1300, 2315, 10587, 4401, 1195, 1793, 1300, 1318, 9421, 1186, 2315, 1763, 4719, 29069, 2720, 5968, 1790, 1793, 2720, 24425, 1538, 29069, 2720, 1125, 9452, 5383, 30941, 2720, 4030, 10577, 8877, 1369, 1628, 1869, 3359, 8765, 15923, 1571, 29662, 29503, 2137, 5968, 1790, 1793, 15923, 1571, 29662, 29503, 2137, 8156, 1186, 2749, 488, 124, 131, 132, 128, 8156, 1188, 1233, 2721, 7153, 30129, 1107, 9317, 1186, 2584, 488, 124, 132, 129, 131, 9317, 1313, 1170, 488, 124, 126, 176, 28077, 1125, 2801, 9317, 1188, 488, 130, 126, 2165, 114, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 14564, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 8595, 1362, 21082, 1188, 488, 128, 123, 13061, 1388, 124, 125, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 1209, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 125, 125, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 126, 123, 1167, 488, 127, 132, 13061, 1388, 125, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 4988, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8370, 2125, 1849, 1257, 1643, 14924, 5904, 1197, 1173, 2288, 4042, 4289, 2472, 3486, 1376, 3840, 29678, 1137, 3123, 116, 1257, 488, 125, 128, 23882, 25869, 3621, 1140, 5272, 172, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 125, 123, 1167, 488, 125, 132, 13061, 1388, 124, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 7983, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 31105, 116, 2487, 1170, 4764, 1299, 5749, 1835, 488, 124, 123, 1167, 488, 124, 132, 13061, 1388, 125, 131, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 9873, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 11488, 1167, 5474, 9323, 15948, 13459, 2072, 17994, 12323, 1205, 1190, 3699, 16720, 1923, 1175, 125, 123, 123, 127, 116, 1703, 3621, 3118, 29206, 1125, 1158, 12350, 31438, 1837, 1936, 1473, 1215, 15830, 22586, 1215, 7576, 1289, 16377, 1167, 4764, 4289, 1123, 10878, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 123, 126, 1576, 3621, 1140, 5272, 172, 23789, 15782, 1252, 15566, 20896, 3145, 488, 124, 129, 123, 28890, 10169, 1186, 16881, 5840, 488, 128, 123, 1188, 488, 128, 126, 8509, 1287, 1517, 5612, 1673, 3288, 2495, 14187, 1167, 1350, 121, 1175, 124, 132, 131, 124, 116, 1703, 1306, 1797, 1422, 121, 1147, 15521, 1539, 1219, 1494, 1606, 1808, 7945, 25031, 1837, 17377, 1703, 1459, 26606, 4609, 8001, 3133, 1252, 15566, 20896, 3145, 5840, 488, 126, 127, 124, 120, 126, 127, 126, 1388, 10026, 11052, 1194, 9592, 3118, 29206, 27012, 1197, 25031, 1837, 22038, 1207, 1408, 14171, 1104, 1125, 18163, 1797, 1422, 1194, 27884, 10454, 1194, 3443, 178, 31306, 1237, 1129, 1657, 2601, 17610, 1824, 1237, 1129, 1659, 2989, 1125, 2802, 1144, 9264, 1125, 25031, 1837, 5549, 2137, 16900, 1410, 1144, 9264, 8737, 3062, 1449, 25031, 1201, 1226, 25031, 1201, 15198, 8175, 158, 126, 127, 1388, 174, 1342, 1837, 22038, 1207, 1408, 20833, 1306, 1797, 1422, 22195, 1797, 1422, 32001, 1424, 32000, 20036, 1505, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 8595, 1362, 21082, 1188, 488, 128, 123, 13061, 1388, 124, 125, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 1209, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 125, 125, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 126, 123, 1167, 488, 127, 132, 13061, 1388, 125, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 4988, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8370, 2125, 1849, 1257, 1643, 14924, 5904, 1197, 1173, 2288, 4042, 4289, 2472, 3486, 1376, 3840, 29678, 1137, 3123, 116, 1257, 488, 125, 128, 23882, 25869, 3621, 1140, 5272, 172, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 125, 123, 1167, 488, 125, 132, 13061, 1388, 124, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 7983, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 31105, 116, 2487, 1170, 4764, 1299, 5749, 1835, 488, 124, 123, 1167, 488, 124, 132, 13061, 1388, 125, 131, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 9873, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 11488, 1167, 5474, 9323, 15948, 13459, 2072, 17994, 12323, 1205, 1190, 3699, 16720, 1923, 1175, 125, 123, 123, 127, 116, 1703, 3621, 3118, 29206, 1125, 1158, 12350, 31438, 1837, 1936, 1473, 1215, 15830, 22586, 1215, 7576, 1289, 16377, 1167, 4764, 4289, 1123, 10878, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 123, 126, 1576, 3621, 1140, 5272, 172, 23789, 15782, 1252, 15566, 20896, 3145, 488, 124, 129, 123, 28890, 10169, 1186, 16881, 5840, 488, 128, 123, 1188, 488, 128, 126, 8509, 1287, 1517, 5612, 1673, 3288, 2495, 14187, 1167, 1350, 121, 1175, 124, 132, 131, 124, 116, 1703, 1306, 1797, 1422, 121, 1147, 15521, 1539, 1219, 1494, 1606, 1808, 7945, 25031, 1837, 17377, 1703, 1459, 26606, 4609, 8001, 3133, 1252, 15566, 20896, 3145, 5840, 488, 126, 127, 124, 120, 126, 127, 126, 1388, 10026, 11052, 1194, 9592, 3118, 29206, 27012, 1197, 25031, 1837, 22038, 1207, 1408, 14171, 1104, 1125, 18163, 1797, 1422, 1194, 27884, 10454, 1194, 3443, 178, 31306, 1237, 1129, 1657, 2601, 17610, 1824, 1237, 1129, 1659, 2989, 1125, 2802, 1144, 9264, 1125, 25031, 1837, 5549, 2137, 16900, 1410, 1144, 9264, 8737, 3062, 1449, 25031, 1201, 1226, 25031, 1201, 15198, 8175, 158, 126, 127, 1388, 174, 1342, 1837, 22038, 1207, 1408, 20833, 1306, 1797, 1422, 22195, 1797, 1422, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1505, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 8595, 1362, 21082, 1188, 488, 128, 123, 13061, 1388, 124, 125, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 1209, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 125, 125, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 126, 123, 1167, 488, 127, 132, 13061, 1388, 125, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 4988, 3133, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8370, 2125, 1849, 1257, 1643, 14924, 5904, 1197, 1173, 2288, 4042, 4289, 2472, 3486, 1376, 3840, 29678, 1137, 3123, 116, 1257, 488, 125, 128, 23882, 25869, 3621, 1140, 5272, 172, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 2487, 1170, 4764, 1299, 5749, 1835, 488, 125, 123, 1167, 488, 125, 132, 13061, 1388, 124, 128, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 7983, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 8273, 1342, 1837, 1125, 18163, 1797, 1422, 31105, 116, 2487, 1170, 4764, 1299, 5749, 1835, 488, 124, 123, 1167, 488, 124, 132, 13061, 1388, 125, 131, 25031, 1837, 1508, 1685, 1462, 1473, 1313, 1816, 1606, 5971, 9873, 1524, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 124, 132, 11488, 1167, 5474, 9323, 15948, 13459, 2072, 17994, 12323, 1205, 1190, 3699, 16720, 1923, 1175, 125, 123, 123, 127, 116, 1703, 3621, 3118, 29206, 1125, 1158, 12350, 31438, 1837, 1936, 1473, 1215, 15830, 22586, 1215, 7576, 1289, 16377, 1167, 4764, 4289, 1123, 10878, 1317, 488, 126, 124, 120, 124, 125, 120, 125, 123, 123, 126, 1576, 3621, 1140, 5272, 172, 23789, 15782, 1252, 15566, 20896, 3145, 488, 124, 129, 123, 28890, 10169, 1186, 16881, 5840, 488, 128, 123, 1188, 488, 128, 126, 8509, 1287, 1517, 5612, 1673, 3288, 2495, 14187, 1167, 1350, 121, 1175, 124, 132, 131, 124, 116, 1703, 1306, 1797, 1422, 121, 1147, 15521, 1539, 1219, 1494, 1606, 1808, 7945, 25031, 1837, 17377, 1703, 1459, 26606, 4609, 8001, 3133, 1252, 15566, 20896, 3145, 5840, 488, 126, 127, 124, 120, 126, 127, 126, 1388, 10026, 11052, 1194, 9592, 3118, 29206, 27012, 1197, 25031, 1837, 22038, 1207, 1408, 14171, 1104, 1125, 18163, 1797, 1422, 1194, 27884, 10454, 1194, 3443, 178, 31306, 1237, 1129, 1657, 2601, 17610, 1824, 1237, 1129, 1659, 2989, 1125, 2802, 1144, 9264, 1125, 25031, 1837, 5549, 2137, 16900, 1410, 1144, 9264, 8737, 3062, 1449, 25031, 1201, 1226, 25031, 1201, 15198, 8175, 158, 126, 127, 1388, 174, 1342, 1837, 22038, 1207, 1408, 20833, 1306, 1797, 1422, 22195, 1797, 1422, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 18263, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1299, 1189, 8325, 28567, 22816, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1313, 1158, 10660, 1125, 28940, 2566, 1186, 1350, 1377, 2348, 1175, 20270, 1496, 2487, 1158, 1622, 1125, 4971, 1878, 14504, 1188, 1158, 1622, 1227, 2271, 31549, 6298, 1317, 4319, 1227, 2271, 4996, 176, 6298, 10177, 15376, 5134, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1110, 1913, 27537, 1835, 1158, 1622, 1227, 2271, 4996, 176, 6298, 1167, 1170, 4319, 1227, 11402, 176, 6298, 1188, 1282, 24662, 2585, 1281, 5428, 1370, 1189, 4170, 8325, 28567, 22816, 1227, 2271, 3463, 176, 6298, 121, 6982, 2782, 24041, 5257, 1165, 2570, 235, 2172, 11174, 1488, 2086, 27064, 3623, 253, 119, 1170, 1606, 24639, 1125, 1158, 5450, 2348, 3133, 12459, 1125, 1982, 1685, 8414, 7325, 22938, 1125, 16608, 16871, 6453, 15094, 1345, 1186, 10184, 1207, 12373, 1125, 1158, 1226, 1213, 3402, 8918, 3603, 3175, 26530, 1186, 488, 124, 127, 130, 127, 121, 1808, 1828, 4542, 1357, 2004, 21826, 1117, 1188, 1561, 4438, 2981, 7615, 2004, 2138, 244, 1125, 488, 124, 127, 131, 126, 1188, 488, 124, 128, 123, 132, 119, 11781, 1309, 1197, 13643, 1167, 1197, 28006, 1430, 2004, 1913, 23550, 1835, 488, 124, 132, 126, 128, 1167, 488, 124, 132, 126, 132, 1388, 15779, 11771, 1628, 1105, 3838, 11941, 7623, 1299, 7959, 3589, 178, 1752, 1460, 1188, 16186, 1167, 27032, 1188, 28347, 1125, 21396, 1125, 1158, 4446, 19063, 11885, 3852, 19596, 1299, 1110, 1502, 6909, 1469, 1189, 4077, 3360, 15572, 1125, 1138, 9310, 1167, 1197, 23500, 23162, 5147, 1216, 2035, 1348, 18726, 1343, 4549, 1125, 1282, 1740, 28567, 1188, 2678, 11852, 1475, 4010, 1299, 3754, 4160, 1186, 3203, 1288, 4842, 7080, 1108, 1813, 1215, 1197, 1873, 261, 1883, 11734, 2657, 1457, 1643, 3247, 13676, 11358, 1189, 15630, 1188, 1873, 261, 1148, 11734, 2752, 119, 27314, 1215, 1197, 6570, 2007, 1167, 1197, 23932, 1842, 1125, 8791, 11401, 1473, 1188, 8999, 1201, 2365, 1469, 1207, 6133, 1593, 3992, 1125, 1158, 4446, 19063, 11885, 121, 1643, 1288, 177, 12262, 1318, 3793, 1468, 1881, 23196, 1366, 2164, 1119, 9422, 1125, 2069, 8371, 1717, 11852, 1475, 1203, 5291, 11401, 1473, 1125, 1131, 1312, 1485, 1227, 26851, 6298, 1167, 1304, 4281, 1312, 11734, 22044, 6184, 1457, 17209, 1207, 1408, 31058, 1257, 1233, 4396, 1860, 1227, 4852, 1175, 124, 132, 126, 132, 116, 1304, 2068, 1224, 1265, 1150, 3261, 1153, 25576, 17618, 1188, 5719, 1125, 3281, 4633, 9071, 2086, 2889, 174, 1836, 1197, 5582, 2725, 1525, 1125, 7877, 1175, 124, 132, 128, 126, 1496, 1125, 1266, 1320, 186, 10217, 1148, 12828, 2433, 1167, 2743, 1207, 1131, 1312, 1485, 16003, 2842, 186, 10217, 1148, 12828, 180, 1469, 6046, 1438, 1125, 1200, 1345, 5904, 1175, 124, 132, 128, 123, 116, 1167, 3281, 8179, 15689, 3511, 1303, 1167, 1207, 15415, 1533, 11244, 1175, 124, 132, 127, 126, 116, 5519, 1412, 186, 1248, 1205, 24542, 6526, 8509, 1107, 4096, 1170, 13822, 120, 1511, 1140, 1281, 16552, 1207, 1290, 1132, 1328, 1227, 1270, 30444, 19881, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 1300, 5759, 1125, 30496, 7886, 19063, 11885, 121, 3762, 1158, 26807, 1125, 1282, 4938, 1468, 1125, 8632, 1281, 5209, 1318, 1131, 1312, 1244, 9730, 1303, 1188, 19543, 488, 3622, 1164, 2794, 1197, 2271, 31549, 6298, 9663, 13449, 9323, 1167, 5474, 13374, 11052, 17627, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 5526, 11645, 6284, 30541, 6271, 3835, 2570, 235, 2172, 11174, 11113, 1260, 224, 11645, 6284, 1222, 4043, 7187, 3835, 2570, 235, 2172, 11174, 11113, 8136, 1119, 1180, 23529, 1720, 1632, 186, 3981, 17734, 14201, 3981, 6604, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1109, 1183, 9889, 2028, 1366, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1132, 9344, 186, 19063, 11885, 1543, 172, 26348, 1105, 27126, 1566, 1132, 9344, 186, 19063, 11885, 1147, 1202, 1575, 5043, 172, 1566, 1132, 9344, 186, 19063, 11885, 1110, 6284, 10958, 1183, 13642, 12498, 2570, 172, 2172, 11174, 11113, 10541, 11771, 26817, 1227, 11402, 176, 6298, 5526, 175, 28567, 22816, 1227, 11402, 25525, 6298, 1186, 20375, 10541, 11771, 1185, 1752, 1460, 1186, 1350, 1377, 2348, 1505, 2570, 172, 2172, 11174, 11113, 1566, 1128, 9330, 1227, 11402, 176, 6298, 1566, 1128, 9330, 1227, 11402, 25525, 6298, 1505, 2570, 235, 2172, 11174, 11113, 32001, 1424, 32000, 20036, 5134, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1299, 1189, 8325, 28567, 22816, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1313, 1158, 10660, 1125, 28940, 2566, 1186, 1350, 1377, 2348, 1175, 20270, 1496, 2487, 1158, 1622, 1125, 4971, 1878, 14504, 1188, 1158, 1622, 1227, 2271, 31549, 6298, 1317, 4319, 1227, 2271, 4996, 176, 6298, 10177, 15376, 5134, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1110, 1913, 27537, 1835, 1158, 1622, 1227, 2271, 4996, 176, 6298, 1167, 1170, 4319, 1227, 11402, 176, 6298, 1188, 1282, 24662, 2585, 1281, 5428, 1370, 1189, 4170, 8325, 28567, 22816, 1227, 2271, 3463, 176, 6298, 121, 6982, 2782, 24041, 5257, 1165, 2570, 235, 2172, 11174, 1488, 2086, 27064, 3623, 253, 119, 1170, 1606, 24639, 1125, 1158, 5450, 2348, 3133, 12459, 1125, 1982, 1685, 8414, 7325, 22938, 1125, 16608, 16871, 6453, 15094, 1345, 1186, 10184, 1207, 12373, 1125, 1158, 1226, 1213, 3402, 8918, 3603, 3175, 26530, 1186, 488, 124, 127, 130, 127, 121, 1808, 1828, 4542, 1357, 2004, 21826, 1117, 1188, 1561, 4438, 2981, 7615, 2004, 2138, 244, 1125, 488, 124, 127, 131, 126, 1188, 488, 124, 128, 123, 132, 119, 11781, 1309, 1197, 13643, 1167, 1197, 28006, 1430, 2004, 1913, 23550, 1835, 488, 124, 132, 126, 128, 1167, 488, 124, 132, 126, 132, 1388, 15779, 11771, 1628, 1105, 3838, 11941, 7623, 1299, 7959, 3589, 178, 1752, 1460, 1188, 16186, 1167, 27032, 1188, 28347, 1125, 21396, 1125, 1158, 4446, 19063, 11885, 3852, 19596, 1299, 1110, 1502, 6909, 1469, 1189, 4077, 3360, 15572, 1125, 1138, 9310, 1167, 1197, 23500, 23162, 5147, 1216, 2035, 1348, 18726, 1343, 4549, 1125, 1282, 1740, 28567, 1188, 2678, 11852, 1475, 4010, 1299, 3754, 4160, 1186, 3203, 1288, 4842, 7080, 1108, 1813, 1215, 1197, 1873, 261, 1883, 11734, 2657, 1457, 1643, 3247, 13676, 11358, 1189, 15630, 1188, 1873, 261, 1148, 11734, 2752, 119, 27314, 1215, 1197, 6570, 2007, 1167, 1197, 23932, 1842, 1125, 8791, 11401, 1473, 1188, 8999, 1201, 2365, 1469, 1207, 6133, 1593, 3992, 1125, 1158, 4446, 19063, 11885, 121, 1643, 1288, 177, 12262, 1318, 3793, 1468, 1881, 23196, 1366, 2164, 1119, 9422, 1125, 2069, 8371, 1717, 11852, 1475, 1203, 5291, 11401, 1473, 1125, 1131, 1312, 1485, 1227, 26851, 6298, 1167, 1304, 4281, 1312, 11734, 22044, 6184, 1457, 17209, 1207, 1408, 31058, 1257, 1233, 4396, 1860, 1227, 4852, 1175, 124, 132, 126, 132, 116, 1304, 2068, 1224, 1265, 1150, 3261, 1153, 25576, 17618, 1188, 5719, 1125, 3281, 4633, 9071, 2086, 2889, 174, 1836, 1197, 5582, 2725, 1525, 1125, 7877, 1175, 124, 132, 128, 126, 1496, 1125, 1266, 1320, 186, 10217, 1148, 12828, 2433, 1167, 2743, 1207, 1131, 1312, 1485, 16003, 2842, 186, 10217, 1148, 12828, 180, 1469, 6046, 1438, 1125, 1200, 1345, 5904, 1175, 124, 132, 128, 123, 116, 1167, 3281, 8179, 15689, 3511, 1303, 1167, 1207, 15415, 1533, 11244, 1175, 124, 132, 127, 126, 116, 5519, 1412, 186, 1248, 1205, 24542, 6526, 8509, 1107, 4096, 1170, 13822, 120, 1511, 1140, 1281, 16552, 1207, 1290, 1132, 1328, 1227, 1270, 30444, 19881, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 1300, 5759, 1125, 30496, 7886, 19063, 11885, 121, 3762, 1158, 26807, 1125, 1282, 4938, 1468, 1125, 8632, 1281, 5209, 1318, 1131, 1312, 1244, 9730, 1303, 1188, 19543, 488, 3622, 1164, 2794, 1197, 2271, 31549, 6298, 9663, 13449, 9323, 1167, 5474, 13374, 11052, 17627, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 5526, 11645, 6284, 30541, 6271, 3835, 2570, 235, 2172, 11174, 11113, 1260, 224, 11645, 6284, 1222, 4043, 7187, 3835, 2570, 235, 2172, 11174, 11113, 8136, 1119, 1180, 23529, 1720, 1632, 186, 3981, 17734, 14201, 3981, 6604, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1109, 1183, 9889, 2028, 1366, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1132, 9344, 186, 19063, 11885, 1543, 172, 26348, 1105, 27126, 1566, 1132, 9344, 186, 19063, 11885, 1147, 1202, 1575, 5043, 172, 1566, 1132, 9344, 186, 19063, 11885, 1110, 6284, 10958, 1183, 13642, 12498, 2570, 172, 2172, 11174, 11113, 10541, 11771, 26817, 1227, 11402, 176, 6298, 5526, 175, 28567, 22816, 1227, 11402, 25525, 6298, 1186, 20375, 10541, 11771, 1185, 1752, 1460, 1186, 1350, 1377, 2348, 1505, 2570, 172, 2172, 11174, 11113, 1566, 1128, 9330, 1227, 11402, 176, 6298, 1566, 1128, 9330, 1227, 11402, 25525, 6298, 1505, 2570, 235, 2172, 11174, 11113, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5134, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1299, 1189, 8325, 28567, 22816, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1313, 1158, 10660, 1125, 28940, 2566, 1186, 1350, 1377, 2348, 1175, 20270, 1496, 2487, 1158, 1622, 1125, 4971, 1878, 14504, 1188, 1158, 1622, 1227, 2271, 31549, 6298, 1317, 4319, 1227, 2271, 4996, 176, 6298, 10177, 15376, 5134, 1603, 10194, 11797, 172, 16871, 6453, 15094, 1345, 488, 1110, 1913, 27537, 1835, 1158, 1622, 1227, 2271, 4996, 176, 6298, 1167, 1170, 4319, 1227, 11402, 176, 6298, 1188, 1282, 24662, 2585, 1281, 5428, 1370, 1189, 4170, 8325, 28567, 22816, 1227, 2271, 3463, 176, 6298, 121, 6982, 2782, 24041, 5257, 1165, 2570, 235, 2172, 11174, 1488, 2086, 27064, 3623, 253, 119, 1170, 1606, 24639, 1125, 1158, 5450, 2348, 3133, 12459, 1125, 1982, 1685, 8414, 7325, 22938, 1125, 16608, 16871, 6453, 15094, 1345, 1186, 10184, 1207, 12373, 1125, 1158, 1226, 1213, 3402, 8918, 3603, 3175, 26530, 1186, 488, 124, 127, 130, 127, 121, 1808, 1828, 4542, 1357, 2004, 21826, 1117, 1188, 1561, 4438, 2981, 7615, 2004, 2138, 244, 1125, 488, 124, 127, 131, 126, 1188, 488, 124, 128, 123, 132, 119, 11781, 1309, 1197, 13643, 1167, 1197, 28006, 1430, 2004, 1913, 23550, 1835, 488, 124, 132, 126, 128, 1167, 488, 124, 132, 126, 132, 1388, 15779, 11771, 1628, 1105, 3838, 11941, 7623, 1299, 7959, 3589, 178, 1752, 1460, 1188, 16186, 1167, 27032, 1188, 28347, 1125, 21396, 1125, 1158, 4446, 19063, 11885, 3852, 19596, 1299, 1110, 1502, 6909, 1469, 1189, 4077, 3360, 15572, 1125, 1138, 9310, 1167, 1197, 23500, 23162, 5147, 1216, 2035, 1348, 18726, 1343, 4549, 1125, 1282, 1740, 28567, 1188, 2678, 11852, 1475, 4010, 1299, 3754, 4160, 1186, 3203, 1288, 4842, 7080, 1108, 1813, 1215, 1197, 1873, 261, 1883, 11734, 2657, 1457, 1643, 3247, 13676, 11358, 1189, 15630, 1188, 1873, 261, 1148, 11734, 2752, 119, 27314, 1215, 1197, 6570, 2007, 1167, 1197, 23932, 1842, 1125, 8791, 11401, 1473, 1188, 8999, 1201, 2365, 1469, 1207, 6133, 1593, 3992, 1125, 1158, 4446, 19063, 11885, 121, 1643, 1288, 177, 12262, 1318, 3793, 1468, 1881, 23196, 1366, 2164, 1119, 9422, 1125, 2069, 8371, 1717, 11852, 1475, 1203, 5291, 11401, 1473, 1125, 1131, 1312, 1485, 1227, 26851, 6298, 1167, 1304, 4281, 1312, 11734, 22044, 6184, 1457, 17209, 1207, 1408, 31058, 1257, 1233, 4396, 1860, 1227, 4852, 1175, 124, 132, 126, 132, 116, 1304, 2068, 1224, 1265, 1150, 3261, 1153, 25576, 17618, 1188, 5719, 1125, 3281, 4633, 9071, 2086, 2889, 174, 1836, 1197, 5582, 2725, 1525, 1125, 7877, 1175, 124, 132, 128, 126, 1496, 1125, 1266, 1320, 186, 10217, 1148, 12828, 2433, 1167, 2743, 1207, 1131, 1312, 1485, 16003, 2842, 186, 10217, 1148, 12828, 180, 1469, 6046, 1438, 1125, 1200, 1345, 5904, 1175, 124, 132, 128, 123, 116, 1167, 3281, 8179, 15689, 3511, 1303, 1167, 1207, 15415, 1533, 11244, 1175, 124, 132, 127, 126, 116, 5519, 1412, 186, 1248, 1205, 24542, 6526, 8509, 1107, 4096, 1170, 13822, 120, 1511, 1140, 1281, 16552, 1207, 1290, 1132, 1328, 1227, 1270, 30444, 19881, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 1300, 5759, 1125, 30496, 7886, 19063, 11885, 121, 3762, 1158, 26807, 1125, 1282, 4938, 1468, 1125, 8632, 1281, 5209, 1318, 1131, 1312, 1244, 9730, 1303, 1188, 19543, 488, 3622, 1164, 2794, 1197, 2271, 31549, 6298, 9663, 13449, 9323, 1167, 5474, 13374, 11052, 17627, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 5526, 11645, 6284, 30541, 6271, 3835, 2570, 235, 2172, 11174, 11113, 1260, 224, 11645, 6284, 1222, 4043, 7187, 3835, 2570, 235, 2172, 11174, 11113, 8136, 1119, 1180, 23529, 1720, 1632, 186, 3981, 17734, 14201, 3981, 6604, 13642, 2172, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1109, 1183, 9889, 2028, 1366, 1125, 1165, 2570, 235, 2172, 11174, 11113, 1566, 1132, 9344, 186, 19063, 11885, 1543, 172, 26348, 1105, 27126, 1566, 1132, 9344, 186, 19063, 11885, 1147, 1202, 1575, 5043, 172, 1566, 1132, 9344, 186, 19063, 11885, 1110, 6284, 10958, 1183, 13642, 12498, 2570, 172, 2172, 11174, 11113, 10541, 11771, 26817, 1227, 11402, 176, 6298, 5526, 175, 28567, 22816, 1227, 11402, 25525, 6298, 1186, 20375, 10541, 11771, 1185, 1752, 1460, 1186, 1350, 1377, 2348, 1505, 2570, 172, 2172, 11174, 11113, 1566, 1128, 9330, 1227, 11402, 176, 6298, 1566, 1128, 9330, 1227, 11402, 25525, 6298, 1505, 2570, 235, 2172, 11174, 11113, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 11306, 1128, 9646, 1299, 1318, 3837, 1125, 15623, 12412, 2724, 1154, 1317, 29694, 29227, 1424, 11306, 1128, 9646, 1299, 6676, 244, 1188, 29487, 1215, 1405, 10299, 16461, 2433, 1405, 1347, 1167, 21430, 1119, 2433, 1317, 7758, 1215, 1350, 1154, 4849, 194, 192, 1167, 2068, 4834, 1188, 21204, 1215, 3991, 1519, 1810, 1266, 24364, 1167, 1254, 17940, 1246, 7615, 1317, 8030, 1215, 1350, 178, 1176, 3266, 1653, 7577, 2032, 3701, 3991, 1128, 9646, 1281, 1874, 1232, 3991, 172, 1209, 1665, 9836, 1362, 4267, 140, 6945, 1209, 1148, 178, 1122, 1148, 1440, 1357, 10262, 3601, 1197, 10924, 9876, 7231, 1768, 1299, 8446, 1313, 1158, 6233, 1125, 5987, 3447, 16939, 14483, 2993, 6973, 1313, 17902, 12412, 2724, 29248, 23688, 21839, 1125, 1594, 16111, 3991, 1128, 9646, 1299, 17350, 1125, 5999, 20022, 1508, 1188, 3089, 1257, 4115, 173, 4520, 1810, 1266, 2716, 28561, 4353, 1350, 178, 1705, 1167, 24354, 1176, 2036, 6218, 11594, 1299, 6113, 1197, 25388, 10110, 1199, 1209, 178, 3307, 1125, 21204, 1227, 15308, 9236, 3991, 1128, 1130, 1965, 1856, 1158, 7759, 1197, 22161, 1209, 14488, 2086, 11358, 1189, 13397, 11639, 16191, 7552, 173, 1128, 9646, 1110, 1318, 17030, 19034, 3988, 7875, 28423, 6815, 5761, 3991, 1128, 9646, 1357, 9924, 2519, 11183, 1304, 1452, 2624, 11128, 10177, 15376, 2121, 1158, 3837, 5519, 173, 1128, 9646, 3031, 17350, 1125, 10924, 20022, 2487, 1266, 2716, 28561, 4353, 4115, 173, 4520, 1810, 1350, 178, 1705, 119, 24354, 30576, 11818, 194, 1810, 1204, 1481, 192, 134, 1170, 1874, 1197, 3203, 2905, 20022, 1299, 11708, 121, 3190, 20096, 1104, 16287, 2004, 8946, 6968, 1170, 7882, 1167, 1282, 2035, 7756, 1197, 11411, 1125, 3171, 20022, 1304, 12736, 1170, 1844, 3365, 21234, 4933, 1309, 5999, 23460, 10235, 1162, 1167, 14318, 1424, 11306, 1128, 9646, 1299, 8446, 1313, 1318, 6233, 1125, 13996, 4202, 27562, 30082, 121, 2502, 5209, 3458, 26285, 5953, 11734, 3576, 7706, 1309, 23712, 1150, 12210, 4698, 1142, 1146, 1575, 3572, 1785, 172, 1496, 1170, 5796, 184, 1374, 1188, 19065, 7890, 4313, 176, 1120, 14879, 1314, 1462, 1120, 1496, 10905, 1829, 1188, 7444, 6713, 1112, 2652, 1575, 6461, 4436, 1496, 2908, 172, 1139, 1477, 175, 1810, 1167, 1197, 12267, 7684, 8529, 196, 1883, 1856, 1282, 3331, 1897, 1188, 2873, 244, 23314, 5007, 12607, 1130, 1255, 3815, 187, 1278, 1255, 4023, 1686, 488, 125, 123, 125, 123, 119, 3991, 1128, 9646, 1110, 8355, 1494, 1304, 13088, 1231, 2627, 24251, 17061, 2750, 1197, 6205, 1429, 14820, 2886, 31016, 8946, 15365, 16371, 2587, 1160, 1125, 3171, 24809, 6111, 3379, 7168, 1808, 17541, 1227, 7130, 2004, 15319, 244, 1207, 11411, 1188, 8082, 1107, 1197, 18608, 20212, 2972, 1188, 1282, 13088, 1231, 1167, 1771, 1199, 1170, 2429, 1856, 1170, 1138, 2724, 1118, 1304, 1428, 1208, 1167, 1207, 1151, 1183, 8851, 2996, 2093, 10853, 13459, 2072, 17994, 7364, 5825, 1424, 3991, 1128, 9646, 1300, 9985, 142, 1516, 172, 1194, 161, 1415, 1317, 29694, 5526, 4121, 12412, 2724, 1154, 32001, 1424, 32000, 20036, 10349, 1128, 9646, 1299, 1318, 3837, 1125, 15623, 12412, 2724, 1154, 1317, 29694, 29227, 1424, 11306, 1128, 9646, 1299, 6676, 244, 1188, 29487, 1215, 1405, 10299, 16461, 2433, 1405, 1347, 1167, 21430, 1119, 2433, 1317, 7758, 1215, 1350, 1154, 4849, 194, 192, 1167, 2068, 4834, 1188, 21204, 1215, 3991, 1519, 1810, 1266, 24364, 1167, 1254, 17940, 1246, 7615, 1317, 8030, 1215, 1350, 178, 1176, 3266, 1653, 7577, 2032, 3701, 3991, 1128, 9646, 1281, 1874, 1232, 3991, 172, 1209, 1665, 9836, 1362, 4267, 140, 6945, 1209, 1148, 178, 1122, 1148, 1440, 1357, 10262, 3601, 1197, 10924, 9876, 7231, 1768, 1299, 8446, 1313, 1158, 6233, 1125, 5987, 3447, 16939, 14483, 2993, 6973, 1313, 17902, 12412, 2724, 29248, 23688, 21839, 1125, 1594, 16111, 3991, 1128, 9646, 1299, 17350, 1125, 5999, 20022, 1508, 1188, 3089, 1257, 4115, 173, 4520, 1810, 1266, 2716, 28561, 4353, 1350, 178, 1705, 1167, 24354, 1176, 2036, 6218, 11594, 1299, 6113, 1197, 25388, 10110, 1199, 1209, 178, 3307, 1125, 21204, 1227, 15308, 9236, 3991, 1128, 1130, 1965, 1856, 1158, 7759, 1197, 22161, 1209, 14488, 2086, 11358, 1189, 13397, 11639, 16191, 7552, 173, 1128, 9646, 1110, 1318, 17030, 19034, 3988, 7875, 28423, 6815, 5761, 3991, 1128, 9646, 1357, 9924, 2519, 11183, 1304, 1452, 2624, 11128, 10177, 15376, 2121, 1158, 3837, 5519, 173, 1128, 9646, 3031, 17350, 1125, 10924, 20022, 2487, 1266, 2716, 28561, 4353, 4115, 173, 4520, 1810, 1350, 178, 1705, 119, 24354, 30576, 11818, 194, 1810, 1204, 1481, 192, 134, 1170, 1874, 1197, 3203, 2905, 20022, 1299, 11708, 121, 3190, 20096, 1104, 16287, 2004, 8946, 6968, 1170, 7882, 1167, 1282, 2035, 7756, 1197, 11411, 1125, 3171, 20022, 1304, 12736, 1170, 1844, 3365, 21234, 4933, 1309, 5999, 23460, 10235, 1162, 1167, 14318, 1424, 11306, 1128, 9646, 1299, 8446, 1313, 1318, 6233, 1125, 13996, 4202, 27562, 30082, 121, 2502, 5209, 3458, 26285, 5953, 11734, 3576, 7706, 1309, 23712, 1150, 12210, 4698, 1142, 1146, 1575, 3572, 1785, 172, 1496, 1170, 5796, 184, 1374, 1188, 19065, 7890, 4313, 176, 1120, 14879, 1314, 1462, 1120, 1496, 10905, 1829, 1188, 7444, 6713, 1112, 2652, 1575, 6461, 4436, 1496, 2908, 172, 1139, 1477, 175, 1810, 1167, 1197, 12267, 7684, 8529, 196, 1883, 1856, 1282, 3331, 1897, 1188, 2873, 244, 23314, 5007, 12607, 1130, 1255, 3815, 187, 1278, 1255, 4023, 1686, 488, 125, 123, 125, 123, 119, 3991, 1128, 9646, 1110, 8355, 1494, 1304, 13088, 1231, 2627, 24251, 17061, 2750, 1197, 6205, 1429, 14820, 2886, 31016, 8946, 15365, 16371, 2587, 1160, 1125, 3171, 24809, 6111, 3379, 7168, 1808, 17541, 1227, 7130, 2004, 15319, 244, 1207, 11411, 1188, 8082, 1107, 1197, 18608, 20212, 2972, 1188, 1282, 13088, 1231, 1167, 1771, 1199, 1170, 2429, 1856, 1170, 1138, 2724, 1118, 1304, 1428, 1208, 1167, 1207, 1151, 1183, 8851, 2996, 2093, 10853, 13459, 2072, 17994, 7364, 5825, 1424, 3991, 1128, 9646, 1300, 9985, 142, 1516, 172, 1194, 161, 1415, 1317, 29694, 5526, 4121, 12412, 2724, 1154, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10349, 1128, 9646, 1299, 1318, 3837, 1125, 15623, 12412, 2724, 1154, 1317, 29694, 29227, 1424, 11306, 1128, 9646, 1299, 6676, 244, 1188, 29487, 1215, 1405, 10299, 16461, 2433, 1405, 1347, 1167, 21430, 1119, 2433, 1317, 7758, 1215, 1350, 1154, 4849, 194, 192, 1167, 2068, 4834, 1188, 21204, 1215, 3991, 1519, 1810, 1266, 24364, 1167, 1254, 17940, 1246, 7615, 1317, 8030, 1215, 1350, 178, 1176, 3266, 1653, 7577, 2032, 3701, 3991, 1128, 9646, 1281, 1874, 1232, 3991, 172, 1209, 1665, 9836, 1362, 4267, 140, 6945, 1209, 1148, 178, 1122, 1148, 1440, 1357, 10262, 3601, 1197, 10924, 9876, 7231, 1768, 1299, 8446, 1313, 1158, 6233, 1125, 5987, 3447, 16939, 14483, 2993, 6973, 1313, 17902, 12412, 2724, 29248, 23688, 21839, 1125, 1594, 16111, 3991, 1128, 9646, 1299, 17350, 1125, 5999, 20022, 1508, 1188, 3089, 1257, 4115, 173, 4520, 1810, 1266, 2716, 28561, 4353, 1350, 178, 1705, 1167, 24354, 1176, 2036, 6218, 11594, 1299, 6113, 1197, 25388, 10110, 1199, 1209, 178, 3307, 1125, 21204, 1227, 15308, 9236, 3991, 1128, 1130, 1965, 1856, 1158, 7759, 1197, 22161, 1209, 14488, 2086, 11358, 1189, 13397, 11639, 16191, 7552, 173, 1128, 9646, 1110, 1318, 17030, 19034, 3988, 7875, 28423, 6815, 5761, 3991, 1128, 9646, 1357, 9924, 2519, 11183, 1304, 1452, 2624, 11128, 10177, 15376, 2121, 1158, 3837, 5519, 173, 1128, 9646, 3031, 17350, 1125, 10924, 20022, 2487, 1266, 2716, 28561, 4353, 4115, 173, 4520, 1810, 1350, 178, 1705, 119, 24354, 30576, 11818, 194, 1810, 1204, 1481, 192, 134, 1170, 1874, 1197, 3203, 2905, 20022, 1299, 11708, 121, 3190, 20096, 1104, 16287, 2004, 8946, 6968, 1170, 7882, 1167, 1282, 2035, 7756, 1197, 11411, 1125, 3171, 20022, 1304, 12736, 1170, 1844, 3365, 21234, 4933, 1309, 5999, 23460, 10235, 1162, 1167, 14318, 1424, 11306, 1128, 9646, 1299, 8446, 1313, 1318, 6233, 1125, 13996, 4202, 27562, 30082, 121, 2502, 5209, 3458, 26285, 5953, 11734, 3576, 7706, 1309, 23712, 1150, 12210, 4698, 1142, 1146, 1575, 3572, 1785, 172, 1496, 1170, 5796, 184, 1374, 1188, 19065, 7890, 4313, 176, 1120, 14879, 1314, 1462, 1120, 1496, 10905, 1829, 1188, 7444, 6713, 1112, 2652, 1575, 6461, 4436, 1496, 2908, 172, 1139, 1477, 175, 1810, 1167, 1197, 12267, 7684, 8529, 196, 1883, 1856, 1282, 3331, 1897, 1188, 2873, 244, 23314, 5007, 12607, 1130, 1255, 3815, 187, 1278, 1255, 4023, 1686, 488, 125, 123, 125, 123, 119, 3991, 1128, 9646, 1110, 8355, 1494, 1304, 13088, 1231, 2627, 24251, 17061, 2750, 1197, 6205, 1429, 14820, 2886, 31016, 8946, 15365, 16371, 2587, 1160, 1125, 3171, 24809, 6111, 3379, 7168, 1808, 17541, 1227, 7130, 2004, 15319, 244, 1207, 11411, 1188, 8082, 1107, 1197, 18608, 20212, 2972, 1188, 1282, 13088, 1231, 1167, 1771, 1199, 1170, 2429, 1856, 1170, 1138, 2724, 1118, 1304, 1428, 1208, 1167, 1207, 1151, 1183, 8851, 2996, 2093, 10853, 13459, 2072, 17994, 7364, 5825, 1424, 3991, 1128, 9646, 1300, 9985, 142, 1516, 172, 1194, 161, 1415, 1317, 29694, 5526, 4121, 12412, 2724, 1154, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 165, 14485, 13096, 9905, 1306, 14955, 6234, 5252, 1170, 488, 124, 131, 2798, 488, 124, 131, 131, 124, 1188, 29650, 3291, 1193, 1141, 177, 1132, 192, 18848, 5200, 288, 191, 1130, 5022, 1167, 4541, 1170, 488, 125, 123, 2738, 488, 124, 132, 128, 129, 1188, 11890, 1301, 7965, 3031, 1189, 1139, 1272, 1136, 1166, 1510, 2607, 121, 1768, 1110, 20888, 1188, 3203, 10765, 19411, 1175, 124, 132, 123, 123, 119, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 123, 131, 116, 1167, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 12258, 2345, 1136, 1370, 488, 124, 119, 130, 131, 1127, 1256, 488, 130, 123, 14829, 2391, 1197, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8732, 26361, 1194, 149, 4814, 19411, 20862, 1424, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 123, 1188, 2801, 20098, 488, 9915, 2961, 24019, 1317, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 488, 127, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 1125, 21683, 1317, 488, 124, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 127, 1188, 3281, 7422, 20098, 488, 9915, 2961, 16834, 1317, 488, 128, 123, 1251, 1379, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 488, 124, 123, 123, 1251, 1379, 1139, 1272, 6772, 106, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1188, 15989, 9536, 7194, 189, 13006, 1260, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 28291, 488, 127, 15397, 488, 125, 128, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 131, 1188, 20024, 20098, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 28291, 488, 127, 15397, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 17994, 2093, 20634, 1167, 5474, 23339, 1272, 1136, 1166, 1510, 2607, 1875, 1272, 1136, 1125, 1139, 1272, 6772, 4196, 1916, 1231, 13461, 1460, 1166, 1510, 2607, 4196, 1916, 1231, 13461, 1460, 1125, 23082, 1162, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 123, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 127, 1875, 1272, 1136, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8156, 1186, 3698, 19005, 7002, 1510, 2348, 9317, 1186, 2738, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 24019, 13461, 1460, 1166, 1510, 2607, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1166, 1510, 2607, 31894, 1125, 17289, 13200, 7278, 27923, 9271, 1161, 1252, 1344, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 32000, 20036, 16189, 14485, 13096, 9905, 1306, 14955, 6234, 5252, 1170, 488, 124, 131, 2798, 488, 124, 131, 131, 124, 1188, 29650, 3291, 1193, 1141, 177, 1132, 192, 18848, 5200, 288, 191, 1130, 5022, 1167, 4541, 1170, 488, 125, 123, 2738, 488, 124, 132, 128, 129, 1188, 11890, 1301, 7965, 3031, 1189, 1139, 1272, 1136, 1166, 1510, 2607, 121, 1768, 1110, 20888, 1188, 3203, 10765, 19411, 1175, 124, 132, 123, 123, 119, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 123, 131, 116, 1167, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 12258, 2345, 1136, 1370, 488, 124, 119, 130, 131, 1127, 1256, 488, 130, 123, 14829, 2391, 1197, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8732, 26361, 1194, 149, 4814, 19411, 20862, 1424, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 123, 1188, 2801, 20098, 488, 9915, 2961, 24019, 1317, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 488, 127, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 1125, 21683, 1317, 488, 124, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 127, 1188, 3281, 7422, 20098, 488, 9915, 2961, 16834, 1317, 488, 128, 123, 1251, 1379, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 488, 124, 123, 123, 1251, 1379, 1139, 1272, 6772, 106, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1188, 15989, 9536, 7194, 189, 13006, 1260, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 28291, 488, 127, 15397, 488, 125, 128, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 131, 1188, 20024, 20098, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 28291, 488, 127, 15397, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 17994, 2093, 20634, 1167, 5474, 23339, 1272, 1136, 1166, 1510, 2607, 1875, 1272, 1136, 1125, 1139, 1272, 6772, 4196, 1916, 1231, 13461, 1460, 1166, 1510, 2607, 4196, 1916, 1231, 13461, 1460, 1125, 23082, 1162, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 123, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 127, 1875, 1272, 1136, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8156, 1186, 3698, 19005, 7002, 1510, 2348, 9317, 1186, 2738, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 24019, 13461, 1460, 1166, 1510, 2607, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1166, 1510, 2607, 31894, 1125, 17289, 13200, 7278, 27923, 9271, 1161, 1252, 1344, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16189, 14485, 13096, 9905, 1306, 14955, 6234, 5252, 1170, 488, 124, 131, 2798, 488, 124, 131, 131, 124, 1188, 29650, 3291, 1193, 1141, 177, 1132, 192, 18848, 5200, 288, 191, 1130, 5022, 1167, 4541, 1170, 488, 125, 123, 2738, 488, 124, 132, 128, 129, 1188, 11890, 1301, 7965, 3031, 1189, 1139, 1272, 1136, 1166, 1510, 2607, 121, 1768, 1110, 20888, 1188, 3203, 10765, 19411, 1175, 124, 132, 123, 123, 119, 488, 124, 132, 123, 127, 1167, 488, 124, 132, 123, 131, 116, 1167, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 12258, 2345, 1136, 1370, 488, 124, 119, 130, 131, 1127, 1256, 488, 130, 123, 14829, 2391, 1197, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8732, 26361, 1194, 149, 4814, 19411, 20862, 1424, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 123, 1188, 2801, 20098, 488, 9915, 2961, 24019, 1317, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 488, 127, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 1125, 21683, 1317, 488, 124, 488, 123, 123, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 127, 1188, 3281, 7422, 20098, 488, 9915, 2961, 16834, 1317, 488, 128, 123, 1251, 1379, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 488, 124, 123, 123, 1251, 1379, 1139, 1272, 6772, 106, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1188, 15989, 9536, 7194, 189, 13006, 1260, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 16834, 1317, 28291, 488, 127, 15397, 488, 125, 128, 123, 1127, 1139, 1272, 6772, 106, 10765, 19411, 20862, 1125, 488, 124, 132, 123, 131, 1188, 20024, 20098, 488, 9915, 2961, 24019, 1317, 488, 124, 123, 123, 1127, 1139, 1272, 6772, 106, 488, 9915, 2961, 24019, 1317, 28291, 488, 127, 15397, 488, 125, 123, 123, 1127, 1139, 1272, 6772, 17994, 2093, 20634, 1167, 5474, 23339, 1272, 1136, 1166, 1510, 2607, 1875, 1272, 1136, 1125, 1139, 1272, 6772, 4196, 1916, 1231, 13461, 1460, 1166, 1510, 2607, 4196, 1916, 1231, 13461, 1460, 1125, 23082, 1162, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 123, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 127, 1875, 1272, 1136, 1571, 10765, 19411, 1597, 3910, 1690, 1125, 488, 124, 132, 123, 129, 1875, 1272, 1136, 1571, 10765, 19411, 1125, 488, 124, 132, 123, 131, 8156, 1186, 3698, 19005, 7002, 1510, 2348, 9317, 1186, 2738, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 24019, 13461, 1460, 1166, 1510, 2607, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1166, 1510, 2607, 31894, 1125, 17289, 13200, 7278, 27923, 9271, 1161, 1252, 1344, 9317, 1188, 488, 130, 127, 2165, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 12616, 2358, 29088, 1197, 488, 124, 131, 121, 1204, 15766, 197, 1299, 10019, 1188, 3871, 1216, 2035, 1348, 1299, 1125, 1158, 25185, 234, 176, 1197, 488, 124, 130, 121, 13195, 180, 1167, 1227, 17610, 234, 1107, 1198, 1374, 178, 12432, 1227, 5719, 1362, 1182, 5551, 1158, 4665, 1125, 3261, 2163, 10914, 1313, 1158, 17486, 19659, 1108, 1243, 1217, 191, 1313, 1170, 12311, 1204, 5729, 1125, 17597, 1167, 1281, 5209, 2774, 1188, 1189, 1895, 5949, 17353, 8677, 1167, 3601, 8113, 7165, 1306, 15376, 2121, 1158, 13571, 1357, 1299, 17999, 1286, 1571, 18234, 1313, 1561, 6233, 13831, 3988, 1299, 10019, 5551, 1158, 4665, 1188, 24570, 1227, 15475, 5763, 183, 4537, 3450, 4438, 1170, 3672, 1125, 1158, 2801, 1107, 2358, 29088, 1188, 21204, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 7041, 1856, 23320, 1110, 1913, 6428, 1303, 2335, 20958, 1272, 17383, 1121, 2357, 1125, 4146, 1819, 1219, 1312, 4847, 1755, 12505, 17104, 1167, 1125, 22014, 10726, 2750, 1158, 6169, 4264, 20020, 121, 1768, 1299, 8105, 18279, 244, 1215, 1207, 10428, 1125, 1158, 3837, 1167, 1299, 4701, 5162, 1256, 1197, 31883, 1525, 1167, 1197, 12420, 6034, 21410, 10791, 1874, 1299, 19126, 1188, 1497, 2035, 4420, 1207, 12420, 1227, 488, 124, 131, 2829, 1175, 1568, 25526, 1125, 2829, 116, 1167, 1125, 488, 124, 132, 132, 123, 5007, 3049, 3123, 13118, 22141, 1188, 1158, 15890, 1227, 11594, 1186, 1248, 8567, 1576, 1548, 488, 124, 131, 1557, 1285, 4885, 1197, 20935, 1125, 4059, 2312, 1508, 19262, 1313, 1197, 31304, 1125, 3688, 1766, 5493, 1188, 5763, 23986, 1299, 15112, 1856, 1158, 3110, 1158, 1408, 10604, 1125, 1158, 12759, 1125, 488, 124, 131, 127, 131, 119, 1357, 1110, 13342, 1207, 24687, 2539, 16737, 1167, 10351, 2635, 1186, 17490, 121, 1548, 488, 124, 131, 2829, 488, 124, 132, 132, 123, 119, 1207, 16891, 1125, 1158, 1248, 8567, 1281, 23794, 1129, 1188, 1318, 3564, 10597, 1186, 13325, 1227, 26322, 4084, 1125, 6113, 1348, 20020, 1167, 2714, 1170, 15688, 1125, 1158, 24342, 6687, 1808, 2069, 5505, 1701, 17104, 1508, 12886, 1234, 1469, 1170, 1874, 1125, 1158, 2320, 6529, 1317, 12685, 1170, 1408, 13970, 5519, 16260, 1167, 1186, 2076, 2658, 1317, 2151, 1170, 1408, 9918, 1227, 14406, 1334, 1125, 4014, 8370, 1373, 488, 124, 132, 129, 124, 1167, 488, 124, 132, 132, 123, 119, 3042, 1309, 1170, 7144, 1125, 17597, 3495, 15801, 1158, 2320, 1281, 5428, 1370, 1313, 1158, 6233, 2377, 23253, 1125, 17597, 30967, 1167, 3031, 20669, 1303, 2519, 4960, 21723, 2308, 1187, 31297, 1227, 1127, 4819, 1357, 3618, 3203, 13061, 27462, 26276, 1256, 1207, 3688, 17192, 4690, 1210, 2289, 1167, 2487, 1170, 1441, 15871, 1299, 7030, 22190, 1313, 1282, 1141, 26973, 1148, 1469, 1318, 8824, 1303, 1125, 14949, 2404, 3606, 7552, 6854, 1318, 29098, 1304, 25737, 1256, 1318, 5588, 1300, 1158, 3247, 8286, 1366, 1125, 1158, 19110, 1158, 2320, 3031, 2445, 1189, 2151, 1125, 14409, 1162, 3672, 1158, 6545, 13281, 18856, 11027, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 1527, 1251, 1110, 4795, 2069, 29602, 1227, 17597, 11109, 11469, 1204, 1399, 1300, 1158, 2320, 1188, 10793, 1167, 1188, 8632, 1125, 1158, 6429, 2139, 1197, 488, 124, 130, 121, 13195, 180, 1299, 12749, 1388, 4479, 16891, 1125, 17597, 7572, 1167, 30811, 7469, 1129, 30293, 1227, 11089, 1300, 1440, 1357, 3031, 3042, 1158, 1235, 3956, 29088, 5551, 1158, 21583, 1125, 3261, 2163, 10914, 1523, 2584, 488, 124, 132, 131, 132, 1653, 488, 124, 132, 131, 130, 119, 1170, 4637, 8403, 18324, 6266, 1863, 23188, 8135, 9365, 1188, 17597, 7041, 5706, 5551, 1170, 7144, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 119, 1110, 10556, 1257, 5886, 6935, 1293, 10584, 1128, 1512, 19252, 4783, 3416, 1816, 4665, 4095, 6982, 16541, 5276, 1125, 1158, 9110, 1125, 13611, 1167, 30293, 20197, 1108, 2009, 1125, 1158, 23139, 1170, 488, 132, 2578, 488, 124, 132, 131, 132, 119, 1207, 17597, 1517, 9081, 12925, 2385, 10536, 1129, 2079, 1158, 4665, 1125, 3261, 2163, 10914, 1167, 3713, 20143, 1217, 1129, 1170, 4392, 1227, 7144, 1357, 1584, 7192, 1158, 14801, 4466, 5521, 2004, 1844, 1170, 3543, 1227, 15153, 1548, 488, 132, 28076, 1170, 7144, 8135, 10193, 4162, 2072, 11488, 1167, 16828, 5825, 2093, 24181, 1188, 17597, 32001, 1424, 32000, 20036, 2895, 2358, 29088, 1197, 488, 124, 131, 121, 1204, 15766, 197, 1299, 10019, 1188, 3871, 1216, 2035, 1348, 1299, 1125, 1158, 25185, 234, 176, 1197, 488, 124, 130, 121, 13195, 180, 1167, 1227, 17610, 234, 1107, 1198, 1374, 178, 12432, 1227, 5719, 1362, 1182, 5551, 1158, 4665, 1125, 3261, 2163, 10914, 1313, 1158, 17486, 19659, 1108, 1243, 1217, 191, 1313, 1170, 12311, 1204, 5729, 1125, 17597, 1167, 1281, 5209, 2774, 1188, 1189, 1895, 5949, 17353, 8677, 1167, 3601, 8113, 7165, 1306, 15376, 2121, 1158, 13571, 1357, 1299, 17999, 1286, 1571, 18234, 1313, 1561, 6233, 13831, 3988, 1299, 10019, 5551, 1158, 4665, 1188, 24570, 1227, 15475, 5763, 183, 4537, 3450, 4438, 1170, 3672, 1125, 1158, 2801, 1107, 2358, 29088, 1188, 21204, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 7041, 1856, 23320, 1110, 1913, 6428, 1303, 2335, 20958, 1272, 17383, 1121, 2357, 1125, 4146, 1819, 1219, 1312, 4847, 1755, 12505, 17104, 1167, 1125, 22014, 10726, 2750, 1158, 6169, 4264, 20020, 121, 1768, 1299, 8105, 18279, 244, 1215, 1207, 10428, 1125, 1158, 3837, 1167, 1299, 4701, 5162, 1256, 1197, 31883, 1525, 1167, 1197, 12420, 6034, 21410, 10791, 1874, 1299, 19126, 1188, 1497, 2035, 4420, 1207, 12420, 1227, 488, 124, 131, 2829, 1175, 1568, 25526, 1125, 2829, 116, 1167, 1125, 488, 124, 132, 132, 123, 5007, 3049, 3123, 13118, 22141, 1188, 1158, 15890, 1227, 11594, 1186, 1248, 8567, 1576, 1548, 488, 124, 131, 1557, 1285, 4885, 1197, 20935, 1125, 4059, 2312, 1508, 19262, 1313, 1197, 31304, 1125, 3688, 1766, 5493, 1188, 5763, 23986, 1299, 15112, 1856, 1158, 3110, 1158, 1408, 10604, 1125, 1158, 12759, 1125, 488, 124, 131, 127, 131, 119, 1357, 1110, 13342, 1207, 24687, 2539, 16737, 1167, 10351, 2635, 1186, 17490, 121, 1548, 488, 124, 131, 2829, 488, 124, 132, 132, 123, 119, 1207, 16891, 1125, 1158, 1248, 8567, 1281, 23794, 1129, 1188, 1318, 3564, 10597, 1186, 13325, 1227, 26322, 4084, 1125, 6113, 1348, 20020, 1167, 2714, 1170, 15688, 1125, 1158, 24342, 6687, 1808, 2069, 5505, 1701, 17104, 1508, 12886, 1234, 1469, 1170, 1874, 1125, 1158, 2320, 6529, 1317, 12685, 1170, 1408, 13970, 5519, 16260, 1167, 1186, 2076, 2658, 1317, 2151, 1170, 1408, 9918, 1227, 14406, 1334, 1125, 4014, 8370, 1373, 488, 124, 132, 129, 124, 1167, 488, 124, 132, 132, 123, 119, 3042, 1309, 1170, 7144, 1125, 17597, 3495, 15801, 1158, 2320, 1281, 5428, 1370, 1313, 1158, 6233, 2377, 23253, 1125, 17597, 30967, 1167, 3031, 20669, 1303, 2519, 4960, 21723, 2308, 1187, 31297, 1227, 1127, 4819, 1357, 3618, 3203, 13061, 27462, 26276, 1256, 1207, 3688, 17192, 4690, 1210, 2289, 1167, 2487, 1170, 1441, 15871, 1299, 7030, 22190, 1313, 1282, 1141, 26973, 1148, 1469, 1318, 8824, 1303, 1125, 14949, 2404, 3606, 7552, 6854, 1318, 29098, 1304, 25737, 1256, 1318, 5588, 1300, 1158, 3247, 8286, 1366, 1125, 1158, 19110, 1158, 2320, 3031, 2445, 1189, 2151, 1125, 14409, 1162, 3672, 1158, 6545, 13281, 18856, 11027, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 1527, 1251, 1110, 4795, 2069, 29602, 1227, 17597, 11109, 11469, 1204, 1399, 1300, 1158, 2320, 1188, 10793, 1167, 1188, 8632, 1125, 1158, 6429, 2139, 1197, 488, 124, 130, 121, 13195, 180, 1299, 12749, 1388, 4479, 16891, 1125, 17597, 7572, 1167, 30811, 7469, 1129, 30293, 1227, 11089, 1300, 1440, 1357, 3031, 3042, 1158, 1235, 3956, 29088, 5551, 1158, 21583, 1125, 3261, 2163, 10914, 1523, 2584, 488, 124, 132, 131, 132, 1653, 488, 124, 132, 131, 130, 119, 1170, 4637, 8403, 18324, 6266, 1863, 23188, 8135, 9365, 1188, 17597, 7041, 5706, 5551, 1170, 7144, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 119, 1110, 10556, 1257, 5886, 6935, 1293, 10584, 1128, 1512, 19252, 4783, 3416, 1816, 4665, 4095, 6982, 16541, 5276, 1125, 1158, 9110, 1125, 13611, 1167, 30293, 20197, 1108, 2009, 1125, 1158, 23139, 1170, 488, 132, 2578, 488, 124, 132, 131, 132, 119, 1207, 17597, 1517, 9081, 12925, 2385, 10536, 1129, 2079, 1158, 4665, 1125, 3261, 2163, 10914, 1167, 3713, 20143, 1217, 1129, 1170, 4392, 1227, 7144, 1357, 1584, 7192, 1158, 14801, 4466, 5521, 2004, 1844, 1170, 3543, 1227, 15153, 1548, 488, 132, 28076, 1170, 7144, 8135, 10193, 4162, 2072, 11488, 1167, 16828, 5825, 2093, 24181, 1188, 17597, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 2358, 29088, 1197, 488, 124, 131, 121, 1204, 15766, 197, 1299, 10019, 1188, 3871, 1216, 2035, 1348, 1299, 1125, 1158, 25185, 234, 176, 1197, 488, 124, 130, 121, 13195, 180, 1167, 1227, 17610, 234, 1107, 1198, 1374, 178, 12432, 1227, 5719, 1362, 1182, 5551, 1158, 4665, 1125, 3261, 2163, 10914, 1313, 1158, 17486, 19659, 1108, 1243, 1217, 191, 1313, 1170, 12311, 1204, 5729, 1125, 17597, 1167, 1281, 5209, 2774, 1188, 1189, 1895, 5949, 17353, 8677, 1167, 3601, 8113, 7165, 1306, 15376, 2121, 1158, 13571, 1357, 1299, 17999, 1286, 1571, 18234, 1313, 1561, 6233, 13831, 3988, 1299, 10019, 5551, 1158, 4665, 1188, 24570, 1227, 15475, 5763, 183, 4537, 3450, 4438, 1170, 3672, 1125, 1158, 2801, 1107, 2358, 29088, 1188, 21204, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 7041, 1856, 23320, 1110, 1913, 6428, 1303, 2335, 20958, 1272, 17383, 1121, 2357, 1125, 4146, 1819, 1219, 1312, 4847, 1755, 12505, 17104, 1167, 1125, 22014, 10726, 2750, 1158, 6169, 4264, 20020, 121, 1768, 1299, 8105, 18279, 244, 1215, 1207, 10428, 1125, 1158, 3837, 1167, 1299, 4701, 5162, 1256, 1197, 31883, 1525, 1167, 1197, 12420, 6034, 21410, 10791, 1874, 1299, 19126, 1188, 1497, 2035, 4420, 1207, 12420, 1227, 488, 124, 131, 2829, 1175, 1568, 25526, 1125, 2829, 116, 1167, 1125, 488, 124, 132, 132, 123, 5007, 3049, 3123, 13118, 22141, 1188, 1158, 15890, 1227, 11594, 1186, 1248, 8567, 1576, 1548, 488, 124, 131, 1557, 1285, 4885, 1197, 20935, 1125, 4059, 2312, 1508, 19262, 1313, 1197, 31304, 1125, 3688, 1766, 5493, 1188, 5763, 23986, 1299, 15112, 1856, 1158, 3110, 1158, 1408, 10604, 1125, 1158, 12759, 1125, 488, 124, 131, 127, 131, 119, 1357, 1110, 13342, 1207, 24687, 2539, 16737, 1167, 10351, 2635, 1186, 17490, 121, 1548, 488, 124, 131, 2829, 488, 124, 132, 132, 123, 119, 1207, 16891, 1125, 1158, 1248, 8567, 1281, 23794, 1129, 1188, 1318, 3564, 10597, 1186, 13325, 1227, 26322, 4084, 1125, 6113, 1348, 20020, 1167, 2714, 1170, 15688, 1125, 1158, 24342, 6687, 1808, 2069, 5505, 1701, 17104, 1508, 12886, 1234, 1469, 1170, 1874, 1125, 1158, 2320, 6529, 1317, 12685, 1170, 1408, 13970, 5519, 16260, 1167, 1186, 2076, 2658, 1317, 2151, 1170, 1408, 9918, 1227, 14406, 1334, 1125, 4014, 8370, 1373, 488, 124, 132, 129, 124, 1167, 488, 124, 132, 132, 123, 119, 3042, 1309, 1170, 7144, 1125, 17597, 3495, 15801, 1158, 2320, 1281, 5428, 1370, 1313, 1158, 6233, 2377, 23253, 1125, 17597, 30967, 1167, 3031, 20669, 1303, 2519, 4960, 21723, 2308, 1187, 31297, 1227, 1127, 4819, 1357, 3618, 3203, 13061, 27462, 26276, 1256, 1207, 3688, 17192, 4690, 1210, 2289, 1167, 2487, 1170, 1441, 15871, 1299, 7030, 22190, 1313, 1282, 1141, 26973, 1148, 1469, 1318, 8824, 1303, 1125, 14949, 2404, 3606, 7552, 6854, 1318, 29098, 1304, 25737, 1256, 1318, 5588, 1300, 1158, 3247, 8286, 1366, 1125, 1158, 19110, 1158, 2320, 3031, 2445, 1189, 2151, 1125, 14409, 1162, 3672, 1158, 6545, 13281, 18856, 11027, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 1527, 1251, 1110, 4795, 2069, 29602, 1227, 17597, 11109, 11469, 1204, 1399, 1300, 1158, 2320, 1188, 10793, 1167, 1188, 8632, 1125, 1158, 6429, 2139, 1197, 488, 124, 130, 121, 13195, 180, 1299, 12749, 1388, 4479, 16891, 1125, 17597, 7572, 1167, 30811, 7469, 1129, 30293, 1227, 11089, 1300, 1440, 1357, 3031, 3042, 1158, 1235, 3956, 29088, 5551, 1158, 21583, 1125, 3261, 2163, 10914, 1523, 2584, 488, 124, 132, 131, 132, 1653, 488, 124, 132, 131, 130, 119, 1170, 4637, 8403, 18324, 6266, 1863, 23188, 8135, 9365, 1188, 17597, 7041, 5706, 5551, 1170, 7144, 1125, 1158, 4665, 1125, 3261, 2163, 10914, 119, 1110, 10556, 1257, 5886, 6935, 1293, 10584, 1128, 1512, 19252, 4783, 3416, 1816, 4665, 4095, 6982, 16541, 5276, 1125, 1158, 9110, 1125, 13611, 1167, 30293, 20197, 1108, 2009, 1125, 1158, 23139, 1170, 488, 132, 2578, 488, 124, 132, 131, 132, 119, 1207, 17597, 1517, 9081, 12925, 2385, 10536, 1129, 2079, 1158, 4665, 1125, 3261, 2163, 10914, 1167, 3713, 20143, 1217, 1129, 1170, 4392, 1227, 7144, 1357, 1584, 7192, 1158, 14801, 4466, 5521, 2004, 1844, 1170, 3543, 1227, 15153, 1548, 488, 132, 28076, 1170, 7144, 8135, 10193, 4162, 2072, 11488, 1167, 16828, 5825, 2093, 24181, 1188, 17597, 32001, 1424, 2 ]
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 150, 1992, 1195, 1374, 197, 4389, 2323, 1518, 1178, 5520, 16790, 2430, 3649, 7008, 1518, 1308, 119, 5252, 1170, 488, 488, 125, 130, 3141, 488, 124, 132, 125, 132, 1188, 1173, 197, 1273, 1354, 8117, 10125, 12311, 1125, 21981, 1246, 8117, 1167, 4541, 1170, 488, 124, 131, 2584, 488, 125, 123, 124, 131, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 1127, 26495, 1186, 8077, 24562, 1298, 1125, 9452, 119, 1125, 12103, 1167, 1125, 14022, 119, 12749, 2445, 5598, 3657, 14231, 29459, 2136, 2782, 6403, 244, 1158, 5690, 4058, 1323, 1527, 7253, 1370, 8753, 5690, 180, 4500, 1323, 119, 25412, 1195, 1374, 197, 1518, 1178, 197, 1858, 1148, 12048, 1256, 1170, 9452, 1167, 1281, 4438, 1188, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 1186, 488, 124, 132, 128, 127, 121, 1768, 7354, 11108, 18025, 9965, 1304, 5675, 189, 2174, 181, 1325, 4520, 3708, 1256, 1594, 18507, 3559, 5921, 1110, 24673, 1362, 6959, 2857, 4497, 1387, 1172, 1108, 2620, 488, 124, 132, 128, 128, 1496, 3453, 9752, 1227, 2511, 27902, 7713, 24562, 21194, 1653, 488, 124, 132, 128, 129, 119, 1527, 10452, 1158, 9640, 4924, 1125, 5505, 1272, 1125, 1518, 4436, 278, 119, 6885, 21837, 2009, 1304, 5675, 189, 2174, 181, 1325, 4520, 175, 2036, 6280, 3453, 3014, 2071, 4012, 1199, 1125, 488, 124, 132, 128, 131, 119, 1643, 26509, 1125, 6545, 14165, 189, 6920, 292, 1144, 1366, 28086, 6363, 1210, 1496, 18900, 1189, 9672, 1721, 1167, 11876, 16256, 1182, 5527, 6982, 1318, 4927, 1408, 2050, 10877, 1518, 1178, 197, 3360, 18471, 1317, 3151, 27176, 4855, 1188, 1561, 1367, 23255, 1214, 1300, 1561, 7877, 23082, 3701, 1158, 13457, 3441, 1142, 1234, 2620, 23587, 1548, 22926, 1125, 1158, 7877, 18448, 4289, 254, 183, 2207, 1214, 3679, 1116, 197, 1124, 1245, 25573, 488, 124, 132, 130, 123, 1496, 1643, 4873, 1126, 1125, 1158, 31498, 4497, 1107, 278, 172, 1144, 1498, 1121, 1105, 2620, 488, 124, 132, 130, 125, 116, 1167, 1808, 6410, 1554, 1227, 16492, 1369, 4497, 9956, 1555, 180, 1225, 1156, 1245, 3166, 1177, 254, 293, 172, 279, 174, 1810, 488, 124, 132, 130, 132, 1576, 2932, 4755, 1666, 191, 22065, 1215, 11346, 1170, 5623, 8276, 1227, 9461, 1197, 27770, 4972, 9172, 24562, 1298, 1186, 488, 124, 132, 131, 123, 1256, 1561, 488, 129, 176, 9891, 121, 25412, 1195, 1374, 197, 1518, 1178, 197, 7810, 1178, 1318, 6311, 2768, 1170, 5623, 8276, 1186, 488, 124, 132, 132, 127, 119, 1188, 1158, 488, 125, 129, 176, 9891, 119, 1256, 1170, 18507, 18931, 278, 182, 1782, 2461, 1518, 194, 10953, 182, 1246, 5005, 3266, 1768, 3014, 172, 3171, 14766, 1256, 1170, 12103, 1167, 1158, 14022, 121, 8921, 3419, 17836, 21667, 1527, 2985, 2180, 175, 1348, 1227, 3248, 27559, 9254, 5071, 2289, 7901, 2442, 1309, 2335, 31774, 3521, 1186, 4083, 1309, 21272, 1125, 1158, 14022, 121, 30738, 14387, 9918, 1186, 4159, 16341, 3701, 25412, 1195, 1374, 197, 1518, 1178, 197, 3233, 119, 17439, 21582, 1823, 15112, 1856, 14765, 1197, 1408, 23965, 27539, 1227, 9452, 24562, 1298, 1125, 1158, 8618, 23945, 13964, 109, 21469, 4613, 2904, 1112, 1571, 17206, 1125, 1325, 4520, 175, 1810, 12741, 6920, 1518, 2554, 11067, 1246, 1146, 5520, 1325, 16461, 1780, 1727, 1306, 4277, 2602, 189, 2174, 181, 1204, 4876, 1167, 1198, 2240, 1153, 197, 27559, 20181, 3266, 1768, 2985, 6711, 1227, 15211, 1317, 3937, 1313, 1158, 24088, 1125, 21396, 121, 20546, 4083, 1309, 21272, 3657, 24562, 28415, 25412, 1195, 1374, 197, 1518, 1178, 197, 1110, 1913, 17252, 1793, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 4511, 3862, 1125, 488, 125, 123, 123, 130, 119, 1527, 1299, 6711, 1125, 1158, 1222, 1795, 1148, 7041, 1125, 3631, 119, 17252, 13619, 1188, 1158, 3011, 1197, 13118, 1304, 15823, 488, 125, 123, 124, 124, 119, 1317, 3285, 30977, 10708, 1856, 15599, 8193, 7225, 1527, 1666, 191, 1343, 1170, 8194, 1125, 488, 129, 123, 119, 128, 2199, 1197, 4001, 9172, 21021, 1234, 14023, 6417, 4134, 23964, 25081, 1125, 9452, 1718, 10853, 7364, 5825, 29496, 1186, 3141, 488, 124, 132, 125, 132, 8156, 1188, 21981, 1246, 1443, 5526, 24116, 1125, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 5968, 1790, 1793, 24562, 1298, 26626, 24562, 4964, 9745, 28668, 1125, 1158, 15419, 176, 8447, 1861, 1125, 1158, 1222, 1795, 1148, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 9873, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 7143, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 15419, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 1352, 31549, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1142, 12133, 9317, 1188, 1352, 2289, 13663, 9317, 1188, 488, 131, 132, 2165, 9317, 1186, 2584, 488, 125, 123, 124, 131, 114, 32001, 1424, 32000, 20036, 24623, 150, 1992, 1195, 1374, 197, 4389, 2323, 1518, 1178, 5520, 16790, 2430, 3649, 7008, 1518, 1308, 119, 5252, 1170, 488, 488, 125, 130, 3141, 488, 124, 132, 125, 132, 1188, 1173, 197, 1273, 1354, 8117, 10125, 12311, 1125, 21981, 1246, 8117, 1167, 4541, 1170, 488, 124, 131, 2584, 488, 125, 123, 124, 131, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 1127, 26495, 1186, 8077, 24562, 1298, 1125, 9452, 119, 1125, 12103, 1167, 1125, 14022, 119, 12749, 2445, 5598, 3657, 14231, 29459, 2136, 2782, 6403, 244, 1158, 5690, 4058, 1323, 1527, 7253, 1370, 8753, 5690, 180, 4500, 1323, 119, 25412, 1195, 1374, 197, 1518, 1178, 197, 1858, 1148, 12048, 1256, 1170, 9452, 1167, 1281, 4438, 1188, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 1186, 488, 124, 132, 128, 127, 121, 1768, 7354, 11108, 18025, 9965, 1304, 5675, 189, 2174, 181, 1325, 4520, 3708, 1256, 1594, 18507, 3559, 5921, 1110, 24673, 1362, 6959, 2857, 4497, 1387, 1172, 1108, 2620, 488, 124, 132, 128, 128, 1496, 3453, 9752, 1227, 2511, 27902, 7713, 24562, 21194, 1653, 488, 124, 132, 128, 129, 119, 1527, 10452, 1158, 9640, 4924, 1125, 5505, 1272, 1125, 1518, 4436, 278, 119, 6885, 21837, 2009, 1304, 5675, 189, 2174, 181, 1325, 4520, 175, 2036, 6280, 3453, 3014, 2071, 4012, 1199, 1125, 488, 124, 132, 128, 131, 119, 1643, 26509, 1125, 6545, 14165, 189, 6920, 292, 1144, 1366, 28086, 6363, 1210, 1496, 18900, 1189, 9672, 1721, 1167, 11876, 16256, 1182, 5527, 6982, 1318, 4927, 1408, 2050, 10877, 1518, 1178, 197, 3360, 18471, 1317, 3151, 27176, 4855, 1188, 1561, 1367, 23255, 1214, 1300, 1561, 7877, 23082, 3701, 1158, 13457, 3441, 1142, 1234, 2620, 23587, 1548, 22926, 1125, 1158, 7877, 18448, 4289, 254, 183, 2207, 1214, 3679, 1116, 197, 1124, 1245, 25573, 488, 124, 132, 130, 123, 1496, 1643, 4873, 1126, 1125, 1158, 31498, 4497, 1107, 278, 172, 1144, 1498, 1121, 1105, 2620, 488, 124, 132, 130, 125, 116, 1167, 1808, 6410, 1554, 1227, 16492, 1369, 4497, 9956, 1555, 180, 1225, 1156, 1245, 3166, 1177, 254, 293, 172, 279, 174, 1810, 488, 124, 132, 130, 132, 1576, 2932, 4755, 1666, 191, 22065, 1215, 11346, 1170, 5623, 8276, 1227, 9461, 1197, 27770, 4972, 9172, 24562, 1298, 1186, 488, 124, 132, 131, 123, 1256, 1561, 488, 129, 176, 9891, 121, 25412, 1195, 1374, 197, 1518, 1178, 197, 7810, 1178, 1318, 6311, 2768, 1170, 5623, 8276, 1186, 488, 124, 132, 132, 127, 119, 1188, 1158, 488, 125, 129, 176, 9891, 119, 1256, 1170, 18507, 18931, 278, 182, 1782, 2461, 1518, 194, 10953, 182, 1246, 5005, 3266, 1768, 3014, 172, 3171, 14766, 1256, 1170, 12103, 1167, 1158, 14022, 121, 8921, 3419, 17836, 21667, 1527, 2985, 2180, 175, 1348, 1227, 3248, 27559, 9254, 5071, 2289, 7901, 2442, 1309, 2335, 31774, 3521, 1186, 4083, 1309, 21272, 1125, 1158, 14022, 121, 30738, 14387, 9918, 1186, 4159, 16341, 3701, 25412, 1195, 1374, 197, 1518, 1178, 197, 3233, 119, 17439, 21582, 1823, 15112, 1856, 14765, 1197, 1408, 23965, 27539, 1227, 9452, 24562, 1298, 1125, 1158, 8618, 23945, 13964, 109, 21469, 4613, 2904, 1112, 1571, 17206, 1125, 1325, 4520, 175, 1810, 12741, 6920, 1518, 2554, 11067, 1246, 1146, 5520, 1325, 16461, 1780, 1727, 1306, 4277, 2602, 189, 2174, 181, 1204, 4876, 1167, 1198, 2240, 1153, 197, 27559, 20181, 3266, 1768, 2985, 6711, 1227, 15211, 1317, 3937, 1313, 1158, 24088, 1125, 21396, 121, 20546, 4083, 1309, 21272, 3657, 24562, 28415, 25412, 1195, 1374, 197, 1518, 1178, 197, 1110, 1913, 17252, 1793, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 4511, 3862, 1125, 488, 125, 123, 123, 130, 119, 1527, 1299, 6711, 1125, 1158, 1222, 1795, 1148, 7041, 1125, 3631, 119, 17252, 13619, 1188, 1158, 3011, 1197, 13118, 1304, 15823, 488, 125, 123, 124, 124, 119, 1317, 3285, 30977, 10708, 1856, 15599, 8193, 7225, 1527, 1666, 191, 1343, 1170, 8194, 1125, 488, 129, 123, 119, 128, 2199, 1197, 4001, 9172, 21021, 1234, 14023, 6417, 4134, 23964, 25081, 1125, 9452, 1718, 10853, 7364, 5825, 29496, 1186, 3141, 488, 124, 132, 125, 132, 8156, 1188, 21981, 1246, 1443, 5526, 24116, 1125, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 5968, 1790, 1793, 24562, 1298, 26626, 24562, 4964, 9745, 28668, 1125, 1158, 15419, 176, 8447, 1861, 1125, 1158, 1222, 1795, 1148, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 9873, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 7143, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 15419, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 1352, 31549, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1142, 12133, 9317, 1188, 1352, 2289, 13663, 9317, 1188, 488, 131, 132, 2165, 9317, 1186, 2584, 488, 125, 123, 124, 131, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24623, 150, 1992, 1195, 1374, 197, 4389, 2323, 1518, 1178, 5520, 16790, 2430, 3649, 7008, 1518, 1308, 119, 5252, 1170, 488, 488, 125, 130, 3141, 488, 124, 132, 125, 132, 1188, 1173, 197, 1273, 1354, 8117, 10125, 12311, 1125, 21981, 1246, 8117, 1167, 4541, 1170, 488, 124, 131, 2584, 488, 125, 123, 124, 131, 1188, 1352, 2289, 1651, 2620, 1299, 1189, 1127, 26495, 1186, 8077, 24562, 1298, 1125, 9452, 119, 1125, 12103, 1167, 1125, 14022, 119, 12749, 2445, 5598, 3657, 14231, 29459, 2136, 2782, 6403, 244, 1158, 5690, 4058, 1323, 1527, 7253, 1370, 8753, 5690, 180, 4500, 1323, 119, 25412, 1195, 1374, 197, 1518, 1178, 197, 1858, 1148, 12048, 1256, 1170, 9452, 1167, 1281, 4438, 1188, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 1186, 488, 124, 132, 128, 127, 121, 1768, 7354, 11108, 18025, 9965, 1304, 5675, 189, 2174, 181, 1325, 4520, 3708, 1256, 1594, 18507, 3559, 5921, 1110, 24673, 1362, 6959, 2857, 4497, 1387, 1172, 1108, 2620, 488, 124, 132, 128, 128, 1496, 3453, 9752, 1227, 2511, 27902, 7713, 24562, 21194, 1653, 488, 124, 132, 128, 129, 119, 1527, 10452, 1158, 9640, 4924, 1125, 5505, 1272, 1125, 1518, 4436, 278, 119, 6885, 21837, 2009, 1304, 5675, 189, 2174, 181, 1325, 4520, 175, 2036, 6280, 3453, 3014, 2071, 4012, 1199, 1125, 488, 124, 132, 128, 131, 119, 1643, 26509, 1125, 6545, 14165, 189, 6920, 292, 1144, 1366, 28086, 6363, 1210, 1496, 18900, 1189, 9672, 1721, 1167, 11876, 16256, 1182, 5527, 6982, 1318, 4927, 1408, 2050, 10877, 1518, 1178, 197, 3360, 18471, 1317, 3151, 27176, 4855, 1188, 1561, 1367, 23255, 1214, 1300, 1561, 7877, 23082, 3701, 1158, 13457, 3441, 1142, 1234, 2620, 23587, 1548, 22926, 1125, 1158, 7877, 18448, 4289, 254, 183, 2207, 1214, 3679, 1116, 197, 1124, 1245, 25573, 488, 124, 132, 130, 123, 1496, 1643, 4873, 1126, 1125, 1158, 31498, 4497, 1107, 278, 172, 1144, 1498, 1121, 1105, 2620, 488, 124, 132, 130, 125, 116, 1167, 1808, 6410, 1554, 1227, 16492, 1369, 4497, 9956, 1555, 180, 1225, 1156, 1245, 3166, 1177, 254, 293, 172, 279, 174, 1810, 488, 124, 132, 130, 132, 1576, 2932, 4755, 1666, 191, 22065, 1215, 11346, 1170, 5623, 8276, 1227, 9461, 1197, 27770, 4972, 9172, 24562, 1298, 1186, 488, 124, 132, 131, 123, 1256, 1561, 488, 129, 176, 9891, 121, 25412, 1195, 1374, 197, 1518, 1178, 197, 7810, 1178, 1318, 6311, 2768, 1170, 5623, 8276, 1186, 488, 124, 132, 132, 127, 119, 1188, 1158, 488, 125, 129, 176, 9891, 119, 1256, 1170, 18507, 18931, 278, 182, 1782, 2461, 1518, 194, 10953, 182, 1246, 5005, 3266, 1768, 3014, 172, 3171, 14766, 1256, 1170, 12103, 1167, 1158, 14022, 121, 8921, 3419, 17836, 21667, 1527, 2985, 2180, 175, 1348, 1227, 3248, 27559, 9254, 5071, 2289, 7901, 2442, 1309, 2335, 31774, 3521, 1186, 4083, 1309, 21272, 1125, 1158, 14022, 121, 30738, 14387, 9918, 1186, 4159, 16341, 3701, 25412, 1195, 1374, 197, 1518, 1178, 197, 3233, 119, 17439, 21582, 1823, 15112, 1856, 14765, 1197, 1408, 23965, 27539, 1227, 9452, 24562, 1298, 1125, 1158, 8618, 23945, 13964, 109, 21469, 4613, 2904, 1112, 1571, 17206, 1125, 1325, 4520, 175, 1810, 12741, 6920, 1518, 2554, 11067, 1246, 1146, 5520, 1325, 16461, 1780, 1727, 1306, 4277, 2602, 189, 2174, 181, 1204, 4876, 1167, 1198, 2240, 1153, 197, 27559, 20181, 3266, 1768, 2985, 6711, 1227, 15211, 1317, 3937, 1313, 1158, 24088, 1125, 21396, 121, 20546, 4083, 1309, 21272, 3657, 24562, 28415, 25412, 1195, 1374, 197, 1518, 1178, 197, 1110, 1913, 17252, 1793, 1125, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 130, 121, 4511, 3862, 1125, 488, 125, 123, 123, 130, 119, 1527, 1299, 6711, 1125, 1158, 1222, 1795, 1148, 7041, 1125, 3631, 119, 17252, 13619, 1188, 1158, 3011, 1197, 13118, 1304, 15823, 488, 125, 123, 124, 124, 119, 1317, 3285, 30977, 10708, 1856, 15599, 8193, 7225, 1527, 1666, 191, 1343, 1170, 8194, 1125, 488, 129, 123, 119, 128, 2199, 1197, 4001, 9172, 21021, 1234, 14023, 6417, 4134, 23964, 25081, 1125, 9452, 1718, 10853, 7364, 5825, 29496, 1186, 3141, 488, 124, 132, 125, 132, 8156, 1188, 21981, 1246, 1443, 5526, 24116, 1125, 12547, 10070, 5277, 1125, 9452, 1125, 488, 277, 254, 175, 292, 5968, 1790, 1793, 24562, 1298, 26626, 24562, 4964, 9745, 28668, 1125, 1158, 15419, 176, 8447, 1861, 1125, 1158, 1222, 1795, 1148, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 9873, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 7143, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 15419, 176, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1538, 1793, 1125, 1158, 1352, 31549, 8447, 1861, 1227, 25252, 1125, 1158, 7983, 176, 7732, 1125, 24088, 1628, 1142, 12133, 9317, 1188, 1352, 2289, 13663, 9317, 1188, 488, 131, 132, 2165, 9317, 1186, 2584, 488, 125, 123, 124, 131, 114, 32001, 1424, 2 ]